GP/PARI CALCULATOR Version 2.15.4 (released) amd64 running linux (x86-64/GMP-6.2.1 kernel) 64-bit version compiled: Jul 10 2023, gcc version 11.3.0 (Ubuntu 11.3.0-1ubuntu1~22.04.1) threading engine: pthread (readline v8.1 disabled, extended help enabled) Copyright (C) 2000-2022 The PARI Group PARI/GP is free software, covered by the GNU General Public License, and comes WITHOUT ANY WARRANTY WHATSOEVER. Type ? for help, \q to quit. Type ?18 for how to get moral (and possibly technical) support. parisize = 8000000, primelimit = 500000, nbthreads = 4 ********** TIMEBOUND for this computation is : 10080 min, 0 sec, 0 millisec ********** --------- Searching for C1, C2, D1, D2 with the continued fractions algorithm; left neighbors and right neighbors --------- ************************************* p = 2; q = 3; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3 -------------- Searches starting with [2,3]-exponents: u = 1, v = 1 n_start has 1 digits starting right neighbors generation We generated 5 left neighbors We generated 10005 right neighbors We generated 10007 non-negative rho_i D1(2,3) = 11.68142121416785867 D2(2,3) = 0.6261567724801134101 C1(2,3) = 2.385379763615760384 C2(2,3) = 2.437496359434158107 C3(2,3) = 0.4171653955280651629 C4(2,3) = 24 Sum = 10949.14863175982938 Averaged sum = 1.094148958904749614 logp*logq = 0.7615000104188089864 -------------- ************************************* p = 2; q = 5; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.051329359665808768 -------------- Searches starting with [2,5]-exponents: u = 2, v = 3 n_start has 3 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10007 non-negative rho_i D1(2,5) = 4.244179288516979278 D2(2,5) = 0.3589187149687148598 C1(2,5) = 2.000000000000000001 C2(2,5) = 1.313988511455151308 C3(2,5) = 0.4804530139182014245 C4(2,5) = 40 Sum = 9481.562098943400967 Averaged sum = 0.9474929648189668199 logp*logq = 1.115577351289980820 -------------- ************************************* p = 2; q = 7; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.852807616023621152 -------------- Searches starting with [2,7]-exponents: u = 2, v = 1 n_start has 2 digits starting right neighbors generation We generated 8 left neighbors We generated 10002 right neighbors We generated 10007 non-negative rho_i D1(2,7) = 2.922972830922243171 D2(2,7) = 0.1201698368134080382 C1(2,7) = 1.885128458951390253 C2(2,7) = 1.801629691679051287 C3(2,7) = 0.5011128583180965757 C4(2,7) = 56 Sum = 8290.345817527420017 Averaged sum = 0.8284546634883001915 logp*logq = 1.348802133440673342 -------------- ************************************* p = 2; q = 11; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.270337212080389837 -------------- Searches starting with [2,11]-exponents: u = 3, v = 2 n_start has 3 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10006 non-negative rho_i D1(2,11) = 1.817828854199246692 D2(2,11) = 0.2942087461783471437 C1(2,11) = 1.473376352568029583 C2(2,11) = 1.637227060896209103 C3(2,11) = 0.5827415682341182277 C4(2,11) = 88 Sum = 9864.626754733419125 Averaged sum = 0.9858711527816729087 logp*logq = 1.662094347618211462 -------------- ************************************* p = 2; q = 13; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.917342318463618638 -------------- Searches starting with [2,13]-exponents: u = 3, v = 1 n_start has 3 digits starting right neighbors generation We generated 11 left neighbors We generated 9999 right neighbors We generated 10006 non-negative rho_i D1(2,13) = 1.785159415203343949 D2(2,13) = 0.2088055868770296557 C1(2,13) = 1.603963385052963000 C2(2,13) = 2.272140223117710869 C3(2,13) = 0.5555074243852384193 C4(2,13) = 104 Sum = 7630.081956704806223 Averaged sum = 0.7625506652713178316 logp*logq = 1.777887415403507509 -------------- ************************************* p = 2; q = 17; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.126596999768275843 -------------- Searches starting with [2,17]-exponents: u = 4, v = 11 n_start has 15 digits starting right neighbors generation We generated 324 left neighbors We generated 9686 right neighbors We generated 10006 non-negative rho_i D1(2,17) = 2.718806807051173566 D2(2,17) = 0.0000000000000000000 C1(2,17) = 2.000000000000000001 C2(2,17) = 6.710366242463375482 C3(2,17) = 0.4804530139182014246 C4(2,17) = 136 Sum = 8049.307785669735462 Averaged sum = 0.8044481097011528545 logp*logq = 1.963833841357380460 -------------- ************************************* p = 2; q = 19; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.697761534114073515 -------------- Searches starting with [2,19]-exponents: u = 4, v = 4 n_start has 7 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10006 non-negative rho_i D1(2,19) = 2.090797094342785531 D2(2,19) = 0.0000000000000000000 C1(2,19) = 1.820278779942484311 C2(2,19) = 6.862293207515872287 C3(2,19) = 0.5131661064819965184 C4(2,19) = 152 Sum = 7929.990550703253408 Averaged sum = 0.7925235409457578860 logp*logq = 2.040929576740021751 -------------- ************************************* p = 2; q = 23; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.787752365654435902 -------------- Searches starting with [2,23]-exponents: u = 4, v = 1 n_start has 3 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10005 non-negative rho_i D1(2,23) = 1.521551444281909426 D2(2,23) = 0.2221675922423665691 C1(2,23) = 1.307428770425939116 C2(2,23) = 1.456982908982319177 C3(2,23) = 0.6192850960664107094 C4(2,23) = 184 Sum = 6838.756568968433184 Averaged sum = 0.6835338899518673847 logp*logq = 2.173358975433306467 -------------- ************************************* p = 2; q = 29; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10.31946183235851568 -------------- Searches starting with [2,29]-exponents: u = 4, v = 1 n_start has 3 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10005 non-negative rho_i D1(2,29) = 1.868598022599101980 D2(2,29) = 0.06355018775672866177 C1(2,29) = 1.435309785004719405 C2(2,29) = 1.730580825230783694 C3(2,29) = 0.5909288953554296978 C4(2,29) = 232 Sum = 6308.257394054231461 Averaged sum = 0.6305104841633414753 logp*logq = 2.334031610666385416 -------------- ************************************* p = 2; q = 31; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10.80769682050508842 -------------- Searches starting with [2,31]-exponents: u = 4, v = 1 n_start has 3 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10005 non-negative rho_i D1(2,31) = 2.783436708859090280 D2(2,31) = 0.01495611078369488325 C1(2,31) = 2.145926877566067245 C2(2,31) = 1.292634149762613911 C3(2,31) = 0.4554315139055645010 C4(2,31) = 248 Sum = 8403.147040029039063 Averaged sum = 0.8398947566245916105 logp*logq = 2.380258548867807500 -------------- ************************************* p = 2; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12.21784478540980294 -------------- Searches starting with [2,37]-exponents: u = 5, v = 4 n_start has 8 digits starting right neighbors generation We generated 80 left neighbors We generated 9930 right neighbors We generated 10005 non-negative rho_i D1(2,37) = 1.493491564280985743 D2(2,37) = 0.0000000000000000000 C1(2,37) = 1.153382790366965253 C2(2,37) = 5.579979423160288875 C3(2,37) = 0.6552557280453196186 C4(2,37) = 296 Sum = 8008.579194802247913 Averaged sum = 0.8004576906349073376 logp*logq = 2.502897570382747065 -------------- ************************************* p = 2; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13.11887467142487897 -------------- Searches starting with [2,41]-exponents: u = 5, v = 2 n_start has 5 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10005 non-negative rho_i D1(2,41) = 1.398871002744597057 D2(2,41) = 0.0000000000000000000 C1(2,41) = 1.280120404422049583 C2(2,41) = 5.680642320109956778 C3(2,41) = 0.6255145624064051725 C4(2,41) = 328 Sum = 7937.508236437382075 Averaged sum = 0.7933541465704529810 logp*logq = 2.574052007842260108 -------------- ************************************* p = 2; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13.55919962024783394 -------------- Searches starting with [2,43]-exponents: u = 5, v = 2 n_start has 5 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10005 non-negative rho_i D1(2,43) = 1.371884066807780460 D2(2,43) = 0.0000000000000000000 C1(2,43) = 1.233640746128701148 C2(2,43) = 5.727346493274862785 C3(2,43) = 0.6362617314798570581 C4(2,43) = 344 Sum = 7795.847953741506323 Averaged sum = 0.7791951977752630008 logp*logq = 2.607065255714732901 -------------- ************************************* p = 2; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14.42148278400850767 -------------- Searches starting with [2,47]-exponents: u = 5, v = 1 n_start has 4 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10005 non-negative rho_i D1(2,47) = 1.440735029859119291 D2(2,47) = 0.0000000000000000000 C1(2,47) = 1.305748222905880857 C2(2,47) = 5.814568600366310667 C3(2,47) = 0.6196666575000928296 C4(2,47) = 376 Sum = 6689.359480691559360 Averaged sum = 0.6686016472455331694 logp*logq = 2.668718954864962377 -------------- ************************************* p = 2; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15.67389588184987873 -------------- Searches starting with [2,53]-exponents: u = 5, v = 1 n_start has 4 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10005 non-negative rho_i D1(2,53) = 1.405538697223771712 D2(2,53) = 0.0000000000000000000 C1(2,53) = 1.281200936824968334 C2(2,53) = 5.932382385816899736 C3(2,53) = 0.6252668894915659340 C4(2,53) = 424 Sum = 6394.882359027312386 Averaged sum = 0.6391686515769427671 logp*logq = 2.751996645878603367 -------------- ************************************* p = 2; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16.88344545329309253 -------------- Searches starting with [2,59]-exponents: u = 5, v = 1 n_start has 4 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10004 non-negative rho_i D1(2,59) = 1.756037997066923118 D2(2,59) = 0.04742509252167694017 C1(2,59) = 1.392827851521142199 C2(2,59) = 1.766065195214276100 C3(2,59) = 0.6002017659394704493 C4(2,59) = 472 Sum = 7737.770350036866250 Averaged sum = 0.7734676479445088214 logp*logq = 2.826333582870855589 -------------- ************************************* p = 2; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17.27811425378948352 -------------- Searches starting with [2,61]-exponents: u = 5, v = 1 n_start has 4 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10004 non-negative rho_i D1(2,61) = 2.130861391992870853 D2(2,61) = 0.02395114316258004242 C1(2,61) = 1.692140570573817491 C2(2,61) = 1.530097230522577163 C3(2,61) = 0.5378414942644579062 C4(2,61) = 488 Sum = 7723.534113756043312 Averaged sum = 0.7720445935381890556 logp*logq = 2.849440628589298261 -------------- ************************************* p = 2; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18.43905250566257201 -------------- Searches starting with [2,67]-exponents: u = 6, v = 15 n_start has 30 digits starting right neighbors generation We generated 832 left neighbors We generated 9178 right neighbors We generated 10003 non-negative rho_i D1(2,67) = 2.147186953441854993 D2(2,67) = 0.04604889678596013521 C1(2,67) = 1.707969650641791110 C2(2,67) = 3.130479559939978477 C3(2,67) = 0.5347302071822415000 C4(2,67) = 536 Sum = 6124.346457257547975 Averaged sum = 0.6122509704346244102 logp*logq = 2.914470834252059352 -------------- ************************************* p = 2; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19.19528235952939084 -------------- Searches starting with [2,71]-exponents: u = 6, v = 6 n_start has 13 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10003 non-negative rho_i D1(2,71) = 1.552694820700390921 D2(2,71) = 0.1074029002082958051 C1(2,71) = 1.235083710905557680 C2(2,71) = 3.208830516145779242 C3(2,71) = 0.6359253237349529486 C4(2,71) = 568 Sum = 7472.074058442110837 Averaged sum = 0.7469833108509557969 logp*logq = 2.954664538400802131 -------------- ************************************* p = 2; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19.56847523410112692 -------------- Searches starting with [2,73]-exponents: u = 6, v = 5 n_start has 12 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10003 non-negative rho_i D1(2,73) = 1.376364326499518322 D2(2,73) = 0.1382120440430174195 C1(2,73) = 1.094822457876332696 C2(2,73) = 3.247768352553541827 C3(2,73) = 0.6694715718234182861 C4(2,73) = 584 Sum = 7670.523614088278565 Averaged sum = 0.7668223147144135323 logp*logq = 2.973919864938805912 -------------- ************************************* p = 2; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20.66973306619241065 -------------- Searches starting with [2,79]-exponents: u = 6, v = 3 n_start has 8 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10003 non-negative rho_i D1(2,79) = 1.072030326956270699 D2(2,79) = 0.2320129747358062398 C1(2,79) = 0.9383756349484474614 C2(2,79) = 3.364633776092994302 C3(2,79) = 0.7089808273978427478 C4(2,79) = 632 Sum = 7476.430268769017549 Averaged sum = 0.7474188012365307957 logp*logq = 3.028670459541223822 -------------- ************************************* p = 2; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21.38964461973181948 -------------- Searches starting with [2,83]-exponents: u = 6, v = 2 n_start has 6 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10003 non-negative rho_i D1(2,83) = 2.363863195522544486 D2(2,83) = 0.2964674293518619291 C1(2,83) = 2.143511001764103973 C2(2,83) = 3.443474725642828921 C3(2,83) = 0.4558349541877525230 C4(2,83) = 664 Sum = 8591.299078923289140 Averaged sum = 0.8588722462184633750 logp*logq = 3.062906908638006936 -------------- ************************************* p = 2; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22.44988842490868911 -------------- Searches starting with [2,89]-exponents: u = 6, v = 2 n_start has 6 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10003 non-negative rho_i D1(2,89) = 1.537868440577498854 D2(2,89) = 0.2093917801772639973 C1(2,89) = 1.317797121923031869 C2(2,89) = 1.672467212616595611 C3(2,89) = 0.6169361951254542729 C4(2,89) = 712 Sum = 7844.282177538539655 Averaged sum = 0.7841929598658941973 logp*logq = 3.111285644238660965 -------------- ************************************* p = 2; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23.83006494912520125 -------------- Searches starting with [2,97]-exponents: u = 6, v = 1 n_start has 4 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10003 non-negative rho_i D1(2,97) = 2.589380889615659847 D2(2,97) = 0.2590800786388734096 C1(2,97) = 2.317954296056940978 C2(2,97) = 2.861770397382438224 C3(2,97) = 0.4276029508814600796 C4(2,97) = 776 Sum = 6248.322374779376631 Averaged sum = 0.6246448440247302440 logp*logq = 3.170948016626248378 -------------- ************************************* p = 2; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24.50697508043817379 -------------- Searches starting with [2,101]-exponents: u = 6, v = 1 n_start has 4 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10003 non-negative rho_i D1(2,101) = 1.534303107352970520 D2(2,101) = 0.2140678412706249993 C1(2,101) = 1.346509210062978819 C2(2,101) = 2.829362616755600649 C3(2,101) = 0.6104779993568218313 C4(2,101) = 808 Sum = 7195.638392217947679 Averaged sum = 0.7193480348113513625 logp*logq = 3.198957774192876582 -------------- ************************************* p = 2; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24.84233690275178321 -------------- Searches starting with [2,103]-exponents: u = 6, v = 1 n_start has 4 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10003 non-negative rho_i D1(2,103) = 1.204757888224787946 D2(2,103) = 0.1921395051578577247 C1(2,103) = 1.057361762040514200 C2(2,103) = 2.796624807422656375 C3(2,103) = 0.6787266922725827956 C4(2,103) = 824 Sum = 7205.765809696395964 Averaged sum = 0.7203604728277912590 logp*logq = 3.212549330850819985 -------------- ************************************* p = 2; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25.50713282930090387 -------------- Searches starting with [2,107]-exponents: u = 6, v = 1 n_start has 4 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10003 non-negative rho_i D1(2,107) = 1.274625497788157445 D2(2,107) = 0.1542646913171856086 C1(2,107) = 1.132826585597160914 C2(2,107) = 2.773529256201016229 C3(2,107) = 0.6602111437176416836 C4(2,107) = 856 Sum = 7683.532418294860792 Averaged sum = 0.7681228049879896823 logp*logq = 3.238958131846485669 -------------- ************************************* p = 2; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25.83666372045207663 -------------- Searches starting with [2,109]-exponents: u = 6, v = 1 n_start has 4 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10003 non-negative rho_i D1(2,109) = 1.133441274645875496 D2(2,109) = 0.1127847523667899029 C1(2,109) = 1.040655041696501261 C2(2,109) = 2.280863003332351321 C3(2,109) = 0.6828954412239896084 C4(2,109) = 872 Sum = 6875.388151657194672 Averaged sum = 0.6873326153811051357 logp*logq = 3.251794557593001311 -------------- ************************************* p = 2; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26.49021813730406946 -------------- Searches starting with [2,113]-exponents: u = 6, v = 1 n_start has 4 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10003 non-negative rho_i D1(2,113) = 1.299969735746170255 D2(2,113) = 0.08049246051163759234 C1(2,113) = 1.051800950773667290 C2(2,113) = 2.132064127413442970 C3(2,113) = 0.6801114220094619870 C4(2,113) = 904 Sum = 7512.194905197305325 Averaged sum = 0.7509941922620519169 logp*logq = 3.276775537953888731 -------------- ************************************* p = 2; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28.72404626967896807 -------------- Searches starting with [2,127]-exponents: u = 6, v = 1 n_start has 4 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10003 non-negative rho_i D1(2,127) = 3.070256172301759078 D2(2,127) = 0.002596682021461486456 C1(2,127) = 2.491491077473161410 C2(2,127) = 1.144205423703893071 C3(2,127) = 0.4012527819280824415 C4(2,127) = 1016 Sum = 7544.985535162021484 Averaged sum = 0.7542722718346517528 logp*logq = 3.357734621083668565 -------------- ************************************* p = 2; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29.34814317158907119 -------------- Searches starting with [2,131]-exponents: u = 7, v = 29 n_start has 64 digits starting right neighbors generation We generated 3285 left neighbors We generated 6725 right neighbors We generated 10002 non-negative rho_i D1(2,131) = 2.376487629321004825 D2(2,131) = 0.02130099852938368157 C1(2,131) = 1.928875275702575625 C2(2,131) = 3.181058286566878026 C3(2,131) = 0.4931421988462149064 C4(2,131) = 1048 Sum = 8337.462622882069798 Averaged sum = 0.8335795463789311936 logp*logq = 3.379229279250270639 -------------- ************************************* p = 2; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30.27344444105349456 -------------- Searches starting with [2,137]-exponents: u = 7, v = 10 n_start has 24 digits starting right neighbors generation We generated 473 left neighbors We generated 9537 right neighbors We generated 10002 non-negative rho_i D1(2,137) = 1.680898027881838322 D2(2,137) = 0.06385343808268180642 C1(2,137) = 1.364300241648996012 C2(2,137) = 3.236828981679212796 C3(2,137) = 0.6065102405241721319 C4(2,137) = 1096 Sum = 7543.426090010145147 Averaged sum = 0.7541917706468851377 logp*logq = 3.410270907146474192 -------------- ************************************* p = 2; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30.57909771356779199 -------------- Searches starting with [2,139]-exponents: u = 7, v = 8 n_start has 20 digits starting right neighbors generation We generated 324 left neighbors We generated 9686 right neighbors We generated 10002 non-negative rho_i D1(2,139) = 1.553842786904822009 D2(2,139) = 0.07805053340835357057 C1(2,139) = 1.261175903888811477 C2(2,139) = 3.255298643604199683 C3(2,139) = 0.6298728761153865131 C4(2,139) = 1112 Sum = 7472.138790548052411 Averaged sum = 0.7470644661615729264 logp*logq = 3.420316694296083096 -------------- ************************************* p = 2; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32.08765169215981978 -------------- Searches starting with [2,149]-exponents: u = 7, v = 4 n_start has 11 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10002 non-negative rho_i D1(2,149) = 1.144428895790196104 D2(2,149) = 0.1494782392424606036 C1(2,149) = 0.9288752757025756235 C2(2,149) = 3.347172213500368384 C3(2,149) = 0.7114538047285133380 C4(2,149) = 1192 Sum = 7269.924448242502387 Averaged sum = 0.7268470754091684050 logp*logq = 3.468471273639448500 -------------- ************************************* p = 2; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32.38558359376341701 -------------- Searches starting with [2,151]-exponents: u = 7, v = 4 n_start has 11 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10002 non-negative rho_i D1(2,151) = 1.159514564640894141 D2(2,151) = 0.1639077819221918268 C1(2,151) = 1.074923168054113168 C2(2,151) = 3.365519318838582928 C3(2,151) = 0.6743721091260154882 C4(2,151) = 1208 Sum = 6781.022190802374018 Averaged sum = 0.6779666257550863845 logp*logq = 3.477713372968527291 -------------- ************************************* p = 2; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33.27221033808454297 -------------- Searches starting with [2,157]-exponents: u = 7, v = 3 n_start has 9 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10002 non-negative rho_i D1(2,157) = 1.150722529019789728 D2(2,157) = 0.2076352143414348349 C1(2,157) = 1.063226670292453352 C2(2,157) = 3.420683525809754800 C3(2,157) = 0.6772692923151509189 C4(2,157) = 1256 Sum = 7361.338385775384235 Averaged sum = 0.7359866412492885658 logp*logq = 3.504722524195229770 -------------- ************************************* p = 2; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34.14849757474099971 -------------- Searches starting with [2,163]-exponents: u = 7, v = 2 n_start has 7 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10002 non-negative rho_i D1(2,163) = 1.257309090296384446 D2(2,163) = 0.2522129722384707727 C1(2,163) = 1.108226690519656182 C2(2,163) = 3.476252406090720745 C3(2,163) = 0.6661906414304649365 C4(2,163) = 1304 Sum = 7594.699586070740859 Averaged sum = 0.7593180949880764706 logp*logq = 3.530718590165862569 -------------- ************************************* p = 2; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34.72719095824490753 -------------- Searches starting with [2,167]-exponents: u = 7, v = 2 n_start has 7 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10002 non-negative rho_i D1(2,167) = 1.143080449879686240 D2(2,167) = 0.2825366526364779647 C1(2,167) = 1.051289670091309812 C2(2,167) = 3.513672338963691519 C3(2,167) = 0.6802388806946387591 C4(2,167) = 1336 Sum = 6908.934299413526465 Averaged sum = 0.6907552788855755314 logp*logq = 3.547522981199919417 -------------- ************************************* p = 2; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35.58732514926418404 -------------- Searches starting with [2,173]-exponents: u = 7, v = 2 n_start has 7 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10002 non-negative rho_i D1(2,173) = 1.257740546663707233 D2(2,173) = 0.2824252921969994420 C1(2,173) = 1.168084734352843080 C2(2,173) = 2.236480907724466039 C3(2,173) = 0.6517344094752932437 C4(2,173) = 1384 Sum = 7340.872069412000771 Averaged sum = 0.7339404188574285914 logp*logq = 3.571989539329400450 -------------- ************************************* p = 2; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36.43835198008885985 -------------- Searches starting with [2,179]-exponents: u = 7, v = 2 n_start has 7 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10002 non-negative rho_i D1(2,179) = 1.618313358264897038 D2(2,179) = 0.1824779631345205271 C1(2,179) = 1.399112739893427829 C2(2,179) = 1.623500761621576419 C3(2,179) = 0.5988207966344176555 C4(2,179) = 1432 Sum = 8348.382873613584526 Averaged sum = 0.8346713530907403045 logp*logq = 3.595621845795199205 -------------- ************************************* p = 2; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36.72007324247770433 -------------- Searches starting with [2,181]-exponents: u = 7, v = 2 n_start has 7 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10002 non-negative rho_i D1(2,181) = 3.609234902432123540 D2(2,181) = 0.1138004288084019654 C1(2,181) = 3.120750138635908244 C2(2,181) = 1.053118232210318709 C3(2,181) = 0.3186075298141885823 C4(2,181) = 1448 Sum = 5164.552443987645420 Averaged sum = 0.5163519740039637492 logp*logq = 3.603323560371152976 -------------- ************************************* p = 2; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38.11464220627219803 -------------- Searches starting with [2,191]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,191) = 0.9772973847202294858 D2(2,191) = 0.2620555230621523235 C1(2,191) = 0.8870793033927615262 C2(2,191) = 2.972351045635058977 C3(2,191) = 0.7224363019493817126 C4(2,191) = 1528 Sum = 7498.908501130329236 Averaged sum = 0.7497409019326463943 logp*logq = 3.640598518180440275 -------------- ************************************* p = 2; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38.39083912194320564 -------------- Searches starting with [2,193]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,193) = 1.205601352161063168 D2(2,193) = 0.2504380219976735967 C1(2,193) = 1.122590056590411871 C2(2,193) = 2.963885905425396540 C3(2,193) = 0.6626927896187347598 C4(2,193) = 1544 Sum = 7959.261484178472955 Averaged sum = 0.7957669950188435268 logp*logq = 3.647818866599907395 -------------- ************************************* p = 2; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38.94061404792862105 -------------- Searches starting with [2,197]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,197) = 1.096549540934093075 D2(2,197) = 0.2282519129725540807 C1(2,197) = 0.9987753451148928796 C2(2,197) = 2.947904365492177992 C3(2,197) = 0.6934583707803181060 C4(2,197) = 1576 Sum = 7348.081602300466350 Averaged sum = 0.7346612279844497450 logp*logq = 3.662037768898526839 -------------- ************************************* p = 2; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39.21421525442887867 -------------- Searches starting with [2,199]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,199) = 1.530070949922508794 D2(2,199) = 0.2176431653777520633 C1(2,199) = 1.403504946855160730 C2(2,199) = 2.940349203140829684 C3(2,199) = 0.5978575900491775460 C4(2,199) = 1592 Sum = 6297.046858217371743 Averaged sum = 0.6295787700677236296 logp*logq = 3.669039315102137389 -------------- ************************************* p = 2; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40.83850457600125982 -------------- Searches starting with [2,211]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,211) = 0.9724274189823833296 D2(2,211) = 0.1589961315932378211 C1(2,211) = 0.9110322549951030397 C2(2,211) = 2.886549489248508759 C3(2,211) = 0.7161217443105419401 C4(2,211) = 1688 Sum = 7214.394866929195469 Averaged sum = 0.7212952276473900689 logp*logq = 3.709625375975746948 -------------- ************************************* p = 2; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42.43467642456747594 -------------- Searches starting with [2,223]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,223) = 1.749668468927428311 D2(2,223) = 0.09114848568692814633 C1(2,223) = 1.574626757462380613 C2(2,223) = 2.379881499533312998 C3(2,223) = 0.5615126075572259347 C4(2,223) = 1784 Sum = 4264.723283547748362 Averaged sum = 0.4263870509445859190 logp*logq = 3.747965868190906271 -------------- ************************************* p = 2; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42.96083167478219415 -------------- Searches starting with [2,227]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,227) = 1.216820590284498181 D2(2,227) = 0.07428697629399146189 C1(2,227) = 1.000064437183183208 C2(2,227) = 2.244220649448701290 C3(2,227) = 0.6931308106545580905 C4(2,227) = 1816 Sum = 6953.630020314362080 Averaged sum = 0.6952239572399882103 logp*logq = 3.760288809295860283 -------------- ************************************* p = 2; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43.22284118737250406 -------------- Searches starting with [2,229]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,229) = 1.263059423851955501 D2(2,229) = 0.06545392143437706872 C1(2,229) = 1.038243135643789731 C2(2,229) = 2.141206491676773375 C3(2,229) = 0.6834993840980600126 C4(2,229) = 1832 Sum = 7354.769696976147515 Averaged sum = 0.7353299037168713772 logp*logq = 3.766369086710158338 -------------- ************************************* p = 2; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43.74476441870340106 -------------- Searches starting with [2,233]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,233) = 1.365453393114833232 D2(2,233) = 0.05270019449275921838 C1(2,233) = 1.122786619373000627 C2(2,233) = 2.056324838112016917 C3(2,233) = 0.6626450490946472336 C4(2,233) = 1864 Sum = 7370.901320346439003 Averaged sum = 0.7369427434859467110 logp*logq = 3.778371935212909705 -------------- ************************************* p = 2; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44.52252631692835357 -------------- Searches starting with [2,239]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,239) = 1.554432858740516916 D2(2,239) = 0.03571254794511552176 C1(2,239) = 1.278802808739914757 C2(2,239) = 1.929330122472037347 C3(2,239) = 0.6258167062468975133 C4(2,239) = 1912 Sum = 5364.625569289838865 Averaged sum = 0.5363552858718095246 logp*logq = 3.795995270460630250 -------------- ************************************* p = 2; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44.78044418497634878 -------------- Searches starting with [2,241]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,241) = 1.631480168236244047 D2(2,241) = 0.02984836721583575626 C1(2,241) = 1.342400841500773212 C2(2,241) = 1.841271172180683617 C3(2,241) = 0.6113979313411806854 C4(2,241) = 1928 Sum = 7621.235275771025036 Averaged sum = 0.7619711333504324171 logp*logq = 3.801771530392881383 -------------- ************************************* p = 2; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46.06033309253812608 -------------- Searches starting with [2,251]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10002 non-negative rho_i D1(2,251) = 2.290917687904463116 D2(2,251) = 0.007573672139909620638 C1(2,251) = 1.886437812817878994 C2(2,251) = 1.453066561028328740 C3(2,251) = 0.5008724344017360890 C4(2,251) = 2008 Sum = 6933.354816242785311 Averaged sum = 0.6931968422558273656 logp*logq = 3.829952126075859105 -------------- ************************************* p = 2; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46.82074823148149365 -------------- Searches starting with [2,257]-exponents: u = 8, v = 177 n_start has 429 digits --- performed 5000 steps in the continued fraction search [2,257]-exponents: u = 636, v = 95 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(2,257) = 0.8387412049246093783 D2(2,257) = 0.5075159803015336211 C1(2,257) = 0.7963766749637521999 C2(2,257) = 1.620427308043512218 C3(2,257) = 0.7468564051637474269 C4(2,257) = 2056 Sum = 8055.065449655717448 Averaged sum = 0.8055871036759393387 logp*logq = 3.846326442957741324 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(2,257) = 0.8387412049246093783 D2(2,257) = 0.5075159803015336211 C1(2,257) = 0.7963766749637521999 C2(2,257) = 1.620427308043512218 C3(2,257) = 0.7468564051637474269 C4(2,257) = 2056 Sum = 8055.065449655717448 Averaged sum = 0.8055871036759393387 logp*logq = 3.846326442957741324 -------------- ************************************* p = 2; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47.57573474767163983 -------------- Searches starting with [2,263]-exponents: u = 8, v = 25 n_start has 63 digits starting right neighbors generation We generated 2834 left neighbors We generated 7176 right neighbors We generated 10002 non-negative rho_i D1(2,263) = 2.101236006621648635 D2(2,263) = 0.0000000000000000002745863175999852046 C1(2,263) = 1.730881692647465297 C2(2,263) = 4.844630239887280793 C3(2,263) = 0.5302585801421218558 C4(2,263) = 2104 Sum = 7682.158073512307861 Averaged sum = 0.7680621949122483364 logp*logq = 3.862322857049748271 -------------- ************************************* p = 2; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48.32545395380879585 -------------- Searches starting with [2,269]-exponents: u = 8, v = 13 n_start has 34 digits starting right neighbors generation We generated 854 left neighbors We generated 9156 right neighbors We generated 10002 non-negative rho_i D1(2,269) = 1.839677608712591871 D2(2,269) = 0.0000000000000000002745863175999852046 C1(2,269) = 1.697047970706374153 C2(2,269) = 4.858912490746916835 C3(2,269) = 0.5368749882600671620 C4(2,269) = 2152 Sum = 9669.750822703696754 Averaged sum = 0.9667817259251846384 logp*logq = 3.877958418817656694 -------------- ************************************* p = 2; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48.57421652027958864 -------------- Searches starting with [2,271]-exponents: u = 8, v = 12 n_start has 32 digits starting right neighbors generation We generated 741 left neighbors We generated 9269 right neighbors We generated 10002 non-negative rho_i D1(2,271) = 1.656302083129680266 D2(2,271) = 0.0000000000000000002745863175999852046 C1(2,271) = 1.364369801463827157 C2(2,271) = 4.863602533976269875 C3(2,271) = 0.6064947780029562640 C4(2,271) = 2168 Sum = 6537.268389937842296 Averaged sum = 0.6535961197698302635 logp*logq = 3.883092865854569955 -------------- ************************************* p = 2; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49.31714936356866948 -------------- Searches starting with [2,277]-exponents: u = 8, v = 8 n_start has 22 digits starting right neighbors generation We generated 369 left neighbors We generated 9641 right neighbors We generated 10002 non-negative rho_i D1(2,277) = 1.459871109604643355 D2(2,277) = 0.0000000000000000002745863175999852046 C1(2,277) = 1.202560859073746572 C2(2,277) = 4.877467750979848378 C3(2,277) = 0.6435509410319562266 C4(2,277) = 2216 Sum = 7333.665309658623910 Averaged sum = 0.7332198869884646981 logp*logq = 3.898271877833528456 -------------- ************************************* p = 2; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49.80969491271667182 -------------- Searches starting with [2,281]-exponents: u = 8, v = 7 n_start has 20 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10002 non-negative rho_i D1(2,281) = 1.358084388898792537 D2(2,281) = 0.0000000000000000002745863175999852046 C1(2,281) = 1.118714603408425103 C2(2,281) = 4.886545367989638180 C3(2,281) = 0.6636347497088304643 C4(2,281) = 2248 Sum = 6911.132665658546184 Averaged sum = 0.6909750715515443095 logp*logq = 3.908209642045688606 -------------- ************************************* p = 2; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50.05516013775652029 -------------- Searches starting with [2,283]-exponents: u = 8, v = 6 n_start has 18 digits starting right neighbors generation We generated 231 left neighbors We generated 9779 right neighbors We generated 10002 non-negative rho_i D1(2,283) = 1.313154880343562714 D2(2,283) = 0.0000000000000000002745863175999852046 C1(2,283) = 1.081704165945510486 C2(2,283) = 4.891035833201069433 C3(2,283) = 0.6726981573995499771 C4(2,283) = 2264 Sum = 6779.655428072786393 Averaged sum = 0.6778299768119162561 logp*logq = 3.913125600102300316 -------------- ************************************* p = 2; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51.27460646975972787 -------------- Searches starting with [2,293]-exponents: u = 8, v = 5 n_start has 15 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10002 non-negative rho_i D1(2,293) = 1.194951556575156558 D2(2,293) = 0.0000000000000000002745863175999852046 C1(2,293) = 1.076994876684920497 C2(2,293) = 4.913022519480992237 C3(2,293) = 0.6738602473564351407 C4(2,293) = 2344 Sum = 6880.878864617674389 Averaged sum = 0.6879502964024869415 logp*logq = 3.937195629034008784 -------------- ************************************* p = 2; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52.96060682484370258 -------------- Searches starting with [2,307]-exponents: u = 8, v = 3 n_start has 10 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10002 non-negative rho_i D1(2,307) = 1.079356674920294755 D2(2,307) = 0.0000000000000000002745863175999852046 C1(2,307) = 0.9662157306151629473 C2(2,307) = 4.942575020731888656 C3(2,307) = 0.7017833440226597432 C4(2,307) = 2456 Sum = 7040.375450701409683 Averaged sum = 0.7038967657169975688 logp*logq = 3.969548369736139045 -------------- ************************************* p = 2; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53.43795568370556384 -------------- Searches starting with [2,311]-exponents: u = 8, v = 3 n_start has 10 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10002 non-negative rho_i D1(2,311) = 1.006750276107818602 D2(2,311) = 0.0000000000000000002745863175999852046 C1(2,311) = 0.9158633395843330216 C2(2,311) = 4.950771289763300953 C3(2,311) = 0.7148548617558700764 C4(2,311) = 2488 Sum = 7298.450744266018498 Averaged sum = 0.7296991345996819134 logp*logq = 3.978521274074993913 -------------- ************************************* p = 2; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53.67592303987646867 -------------- Searches starting with [2,313]-exponents: u = 8, v = 3 n_start has 10 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10002 non-negative rho_i D1(2,313) = 1.044476111134602356 D2(2,313) = 0.0000000000000000002745863175999852046 C1(2,313) = 0.9501972383674147393 C2(2,313) = 4.954829976359271532 C3(2,313) = 0.7059156214702206294 C4(2,313) = 2504 Sum = 6996.798382635641621 Averaged sum = 0.6995399302775086603 logp*logq = 3.982964540447469402 -------------- ************************************* p = 2; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54.15046321395295172 -------------- Searches starting with [2,317]-exponents: u = 8, v = 3 n_start has 10 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10002 non-negative rho_i D1(2,317) = 1.191542287285749799 D2(2,317) = 0.0000000000000000002745863175999852046 C1(2,317) = 1.098269454354518854 C2(2,317) = 4.962870121743975976 C3(2,317) = 0.6686263164099987585 C4(2,317) = 2536 Sum = 6021.770853423654537 Averaged sum = 0.6020566740075639409 logp*logq = 3.991766527684704760 -------------- ************************************* p = 2; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55.79710538202768157 -------------- Searches starting with [2,331]-exponents: u = 8, v = 2 n_start has 8 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10002 non-negative rho_i D1(2,331) = 1.013885909397456723 D2(2,331) = 0.0000000000000000002745863175999852046 C1(2,331) = 0.9453313689619191469 C2(2,331) = 4.990232840077695859 C3(2,331) = 0.7071756774786351399 C4(2,331) = 2648 Sum = 7041.534168556196265 Averaged sum = 0.7040126143327530758 logp*logq = 4.021721993167661556 -------------- ************************************* p = 2; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56.49623923918979275 -------------- Searches starting with [2,337]-exponents: u = 8, v = 2 n_start has 8 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10002 non-negative rho_i D1(2,337) = 1.316196588462330977 D2(2,337) = 0.0000000000000000002745863175999852046 C1(2,337) = 1.187117432632621643 C2(2,337) = 5.001607150891613150 C3(2,337) = 0.6472039064658575983 C4(2,337) = 2696 Sum = 6950.631698609975892 Averaged sum = 0.6949241850239927906 logp*logq = 4.034174073798804073 -------------- ************************************* p = 2; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57.65304011941869918 -------------- Searches starting with [2,347]-exponents: u = 8, v = 2 n_start has 8 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10002 non-negative rho_i D1(2,347) = 0.9856233709014319429 D2(2,347) = 0.0000000000000000002745863175999852046 C1(2,347) = 0.8577941255928756783 C2(2,347) = 5.020121713958661957 C3(2,347) = 0.7302322606067156827 C4(2,347) = 2776 Sum = 7128.394091572610018 Averaged sum = 0.7126968697833043409 logp*logq = 4.054442979399587973 -------------- ************************************* p = 2; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57.88316572244800009 -------------- Searches starting with [2,349]-exponents: u = 8, v = 2 n_start has 8 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10002 non-negative rho_i D1(2,349) = 1.046756325067704891 D2(2,349) = 0.0000000000000000002745863175999852046 C1(2,349) = 0.9110456746482380662 C2(2,349) = 5.023760533979336609 C3(2,349) = 0.7161182220914026038 C4(2,349) = 2792 Sum = 6922.065710327774730 Averaged sum = 0.6920681574012972135 logp*logq = 4.058426594850311836 -------------- ************************************* p = 2; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58.34220698961304327 -------------- Searches starting with [2,353]-exponents: u = 8, v = 2 n_start has 8 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10002 non-negative rho_i D1(2,353) = 1.201708618173292416 D2(2,353) = 0.0000000000000000002745863175999852046 C1(2,353) = 1.046015686955584843 C2(2,353) = 5.030976030198665158 C3(2,353) = 0.6815550425106005592 C4(2,353) = 2824 Sum = 7225.069116472929707 Averaged sum = 0.7223624391594610785 logp*logq = 4.066325793508295374 -------------- ************************************* p = 2; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59.02778858006554094 -------------- Searches starting with [2,359]-exponents: u = 8, v = 2 n_start has 8 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10002 non-negative rho_i D1(2,359) = 1.652773690504877928 D2(2,359) = 0.0000000000000000002745863175999852046 C1(2,359) = 1.438857870381648834 C2(2,359) = 5.041647399788993211 C3(2,359) = 0.5901609395535257982 C4(2,359) = 2872 Sum = 7020.157736965147586 Averaged sum = 0.7018753986167914002 logp*logq = 4.078008325905853739 -------------- ************************************* p = 2; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59.93645485025300553 -------------- Searches starting with [2,367]-exponents: u = 8, v = 1 n_start has 5 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,367) = 1.249628509590359483 D2(2,367) = 0.0000000000000000002745863175999852046 C1(2,367) = 1.108244864687241690 C2(2,367) = 5.055601748428436268 C3(2,367) = 0.6661862039045864519 C4(2,367) = 2936 Sum = 6519.807116340085999 Averaged sum = 0.6518503415656954608 logp*logq = 4.093284915165293538 -------------- ************************************* p = 2; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60.61396948357879518 -------------- Searches starting with [2,373]-exponents: u = 8, v = 1 n_start has 5 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,373) = 1.130743516804139290 D2(2,373) = 0.0000000000000000002745863175999852046 C1(2,373) = 0.9844671660866395482 C2(2,373) = 5.065869318420892938 C3(2,373) = 0.6971045104123536490 C4(2,373) = 2984 Sum = 7074.248151775928781 Averaged sum = 0.7072833585058916997 logp*logq = 4.104525386040727408 -------------- ************************************* p = 2; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61.28814799911288743 -------------- Searches starting with [2,379]-exponents: u = 8, v = 1 n_start has 5 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,379) = 0.9748913332819152059 D2(2,379) = 0.0000000000000000002745863175999852046 C1(2,379) = 0.8876087389001236631 C2(2,379) = 5.075973037201020613 C3(2,379) = 0.7222961304305843417 C4(2,379) = 3032 Sum = 7215.351999965036672 Averaged sum = 0.7213909218121412389 logp*logq = 4.115586480025481039 -------------- ************************************* p = 2; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61.73578105163731593 -------------- Searches starting with [2,383]-exponents: u = 8, v = 1 n_start has 5 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,383) = 0.9426186186030205905 D2(2,383) = 0.0000000000000000002745863175999852046 C1(2,383) = 0.8680726356647453355 C2(2,383) = 5.082620373228300976 C3(2,383) = 0.7274864998801024178 C4(2,383) = 3064 Sum = 7196.072932369196549 Averaged sum = 0.7194634005568082932 logp*logq = 4.122863682622469571 -------------- ************************************* p = 2; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62.40455116639706438 -------------- Searches starting with [2,389]-exponents: u = 8, v = 1 n_start has 5 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,389) = 1.287398286612117377 D2(2,389) = 0.0000000000000000002745863175999852046 C1(2,389) = 1.161946810629954893 C2(2,389) = 5.092462326954421275 C3(2,389) = 0.6532022200746488072 C4(2,389) = 3112 Sum = 6896.789168759657794 Averaged sum = 0.6895410086742309332 logp*logq = 4.133638208074655325 -------------- ************************************* p = 2; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63.29134320662458159 -------------- Searches starting with [2,397]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,397) = 0.9544501381184500778 D2(2,397) = 0.0000000000000000002745863175999852046 C1(2,397) = 0.8914968184390444785 C2(2,397) = 5.105351381526473007 C3(2,397) = 0.7212675688141747907 C4(2,397) = 3176 Sum = 7348.893819316405902 Averaged sum = 0.7347424334449515998 logp*logq = 4.147748561608691549 -------------- ************************************* p = 2; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63.73268018303963449 -------------- Searches starting with [2,401]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,401) = 1.158321049783528838 D2(2,401) = 0.0000000000000000002745863175999852046 C1(2,401) = 1.073250342275702200 C2(2,401) = 5.111698832591122026 C3(2,401) = 0.6747857017114354170 C4(2,401) = 3208 Sum = 6335.148589033966797 Averaged sum = 0.6333881812671432511 logp*logq = 4.154697463722614013 -------------- ************************************* p = 2; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64.61132500520327724 -------------- Searches starting with [2,409]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,409) = 1.238232846022629594 D2(2,409) = 0.0000000000000000002745863175999852046 C1(2,409) = 1.110251352175524630 C2(2,409) = 5.124205964033490602 C3(2,409) = 0.6656964682777392812 C4(2,409) = 3272 Sum = 7221.142242833177206 Averaged sum = 0.7219698303172542697 logp*logq = 4.168389705101679583 -------------- ************************************* p = 2; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65.70225218456084586 -------------- Searches starting with [2,419]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,419) = 1.087906414958123564 D2(2,419) = 0.0000000000000000002745863175999852046 C1(2,419) = 0.9909025884510100574 C2(2,419) = 5.139500256972500280 C3(2,419) = 0.6954622116694657806 C4(2,419) = 3352 Sum = 6895.833125341598747 Averaged sum = 0.6894454234494699807 logp*logq = 4.185133204728913088 -------------- ************************************* p = 2; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65.91947437082648986 -------------- Searches starting with [2,421]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,421) = 1.094734707601460090 D2(2,421) = 0.0000000000000000002745863175999852046 C1(2,421) = 0.9971315146545967296 C2(2,421) = 5.142515276673937686 C3(2,421) = 0.6938762950021423376 C4(2,421) = 3368 Sum = 6941.149384942649847 Averaged sum = 0.6939761432656118623 logp*logq = 4.188433911825895607 -------------- ************************************* p = 2; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67.00087772158270122 -------------- Searches starting with [2,431]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,431) = 1.597712629064518485 D2(2,431) = 0.0000000000000000002745863175999852046 C1(2,431) = 1.442736275406705693 C2(2,431) = 5.157378704314654250 C3(2,431) = 0.5893226302674738649 C4(2,431) = 3448 Sum = 5294.768838917684895 Averaged sum = 0.5293710096898305233 logp*logq = 4.204705719627287458 -------------- ************************************* p = 2; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67.21623025934103917 -------------- Searches starting with [2,433]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,433) = 1.104750022237118984 D2(2,433) = 0.0000000000000000002745863175999852046 C1(2,433) = 0.9975948238826463660 C2(2,433) = 5.160309973165376626 C3(2,433) = 0.6937584786918455530 C4(2,433) = 3464 Sum = 6686.943034492978027 Averaged sum = 0.6685605913310315963 logp*logq = 4.207914740083813986 -------------- ************************************* p = 2; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67.86046510966461007 -------------- Searches starting with [2,439]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,439) = 1.569409897339030106 D2(2,439) = 0.0000000000000000002745863175999852046 C1(2,439) = 1.437766489639649785 C2(2,439) = 5.169023224540384409 C3(2,439) = 0.5903970541850580070 C4(2,439) = 3512 Sum = 6968.849186547083989 Averaged sum = 0.6967455695408002389 logp*logq = 4.217453613291697056 -------------- ************************************* p = 2; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68.28845411485330169 -------------- Searches starting with [2,443]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,443) = 1.028900067192256643 D2(2,443) = 0.0000000000000000002745863175999852046 C1(2,443) = 0.8554184390802850589 C2(2,443) = 5.174766147730600467 C3(2,443) = 0.7308683651904098280 C4(2,443) = 3544 Sum = 7300.133639861292114 Averaged sum = 0.7298673905080276059 logp*logq = 4.223740705652100051 -------------- ************************************* p = 2; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68.92822158455396445 -------------- Searches starting with [2,449]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,449) = 1.085357243329613523 D2(2,449) = 0.0000000000000000002745863175999852046 C1(2,449) = 0.9025419081796284695 C2(2,449) = 5.183284028764316052 C3(2,449) = 0.7183536584302018814 C4(2,449) = 3592 Sum = 7241.206618618876959 Averaged sum = 0.7239758666885499859 logp*logq = 4.233065696253598951 -------------- ************************************* p = 2; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69.77718013985725715 -------------- Searches starting with [2,457]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,457) = 1.242395053847292181 D2(2,457) = 0.0000000000000000002745863175999852046 C1(2,457) = 1.127704786830026095 C2(2,457) = 5.194465828272105335 C3(2,457) = 0.6614516596454515486 C4(2,457) = 3656 Sum = 6721.554537082616475 Averaged sum = 0.6720210494983619750 logp*logq = 4.245307024220643402 -------------- ************************************* p = 2; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70.19994733059174683 -------------- Searches starting with [2,461]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,461) = 1.213824238984752956 D2(2,461) = 0.0000000000000000002745863175999852046 C1(2,461) = 1.009774313732362101 C2(2,461) = 5.199983535879371291 C3(2,461) = 0.6906684841007062048 C4(2,461) = 3688 Sum = 7388.042320688233317 Averaged sum = 0.7386565007686695977 logp*logq = 4.251347560755013135 -------------- ************************************* p = 2; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70.41090858039797705 -------------- Searches starting with [2,463]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,463) = 1.237786217332280077 D2(2,463) = 0.0000000000000000002745863175999852046 C1(2,463) = 1.029775478613880136 C2(2,463) = 5.202724461981773769 C3(2,463) = 0.6856239233930385677 C4(2,463) = 3704 Sum = 6830.651279128038077 Averaged sum = 0.6829285422043629351 logp*logq = 4.254348202586372100 -------------- ************************************* p = 2; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70.83199431619352658 -------------- Searches starting with [2,467]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,467) = 1.288465611443153973 D2(2,467) = 0.0000000000000000002745863175999852046 C1(2,467) = 1.072077127034670227 C2(2,467) = 5.208170972478044884 C3(2,467) = 0.6750759209734531560 C4(2,467) = 3736 Sum = 6937.802452038158349 Averaged sum = 0.6936415169004357477 logp*logq = 4.260310795746297783 -------------- ************************************* p = 2; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72.08866850560029173 -------------- Searches starting with [2,479]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,479) = 1.469906940114424290 D2(2,479) = 0.0000000000000000002745863175999852046 C1(2,479) = 1.223511786233934466 C2(2,479) = 5.224234910849354508 C3(2,479) = 0.6386281760129492898 C4(2,479) = 3832 Sum = 6847.677133992244980 Averaged sum = 0.6846307872417761428 logp*logq = 4.277896868355505997 -------------- ************************************* p = 2; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72.92108503320758094 -------------- Searches starting with [2,487]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,487) = 1.629155778568443122 D2(2,487) = 0.0000000000000000002745863175999852046 C1(2,487) = 1.356400663756444577 C2(2,487) = 5.234722155839445933 C3(2,487) = 0.6082688125913265794 C4(2,487) = 3896 Sum = 7198.512394248740535 Averaged sum = 0.7197072979652809973 logp*logq = 4.289377829474959490 -------------- ************************************* p = 2; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73.33571809831650136 -------------- Searches starting with [2,491]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,491) = 1.728050359067312914 D2(2,491) = 0.0000000000000000002745863175999852046 C1(2,491) = 1.438912672137452326 C2(2,491) = 5.239901349879083483 C3(2,491) = 0.5901490859645816313 C4(2,491) = 3928 Sum = 7386.055912202916118 Averaged sum = 0.7384578996403635390 logp*logq = 4.295047776678001383 -------------- ************************************* p = 2; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74.16188946825554977 -------------- Searches starting with [2,499]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,499) = 1.996986609716343212 D2(2,499) = 0.0000000000000000002745863175999852046 C1(2,499) = 1.663247336165431522 C2(2,499) = 5.250134347421201011 C3(2,499) = 0.5435673620820344186 C4(2,499) = 3992 Sum = 8265.811025574284963 Averaged sum = 0.8264158193935497863 logp*logq = 4.306250399199694786 -------------- ************************************* p = 2; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74.57344940967072583 -------------- Searches starting with [2,503]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,503) = 2.201128675378293051 D2(2,503) = 0.0000000000000000002745863175999852046 C1(2,503) = 1.833488183327780485 C2(2,503) = 5.255189487574850932 C3(2,503) = 0.5106876598011790024 C4(2,503) = 4024 Sum = 6891.082224933307477 Averaged sum = 0.6889704284076492178 logp*logq = 4.311784537823544838 -------------- ************************************* p = 2; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75.18891180319182091 -------------- Searches starting with [2,509]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10002 non-negative rho_i D1(2,509) = 2.805728580422859912 D2(2,509) = 0.0000000000000000002745863175999852046 C1(2,509) = 2.337511966191638734 C2(2,509) = 5.262697317927474205 C3(2,509) = 0.4245487929692482316 C4(2,509) = 4072 Sum = 7221.824245904121887 Averaged sum = 0.7220380169870147857 logp*logq = 4.320003770658418200 -------------- ************************************* p = 2; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76.41320363813802066 -------------- Searches starting with [2,521]-exponents: u = 9, v = 39 n_start has 109 digits --- performed 5000 steps in the continued fraction search [2,521]-exponents: u = 151, v = 5 --- starting right neighbors generation We generated 7420 left neighbors We generated 2590 right neighbors We generated 10001 non-negative rho_i D1(2,521) = 2.207392973543010480 D2(2,521) = 0.0000000000000000002745863175999852046 C1(2,521) = 1.839183891071558480 C2(2,521) = 5.277451063712734048 C3(2,521) = 0.5096226855124008226 C4(2,521) = 4168 Sum = 7756.771499358398194 Averaged sum = 0.7755995899768421352 logp*logq = 4.336155503729106428 -------------- ************************************* p = 2; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76.61640691498335496 -------------- Searches starting with [2,523]-exponents: u = 9, v = 32 n_start has 90 digits starting right neighbors generation We generated 5082 left neighbors We generated 4928 right neighbors We generated 10001 non-negative rho_i D1(2,523) = 2.097779482679082882 D2(2,523) = 0.0000000000000000002745863175999852046 C1(2,523) = 1.747854721749489432 C2(2,523) = 5.279876940016986349 C3(2,523) = 0.5269701682280684227 C4(2,523) = 4184 Sum = 7582.284715428658864 Averaged sum = 0.7581526562772381625 logp*logq = 4.338811243301895926 -------------- ************************************* p = 2; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78.43465276163813450 -------------- Searches starting with [2,541]-exponents: u = 9, v = 12 n_start has 36 digits starting right neighbors generation We generated 832 left neighbors We generated 9178 right neighbors We generated 10001 non-negative rho_i D1(2,541) = 1.568258324275232842 D2(2,541) = 0.0000000000000000002745863175999852046 C1(2,541) = 1.306661515016227145 C2(2,541) = 5.301301451958329912 C3(2,541) = 0.6194592691103915015 C4(2,541) = 4328 Sum = 7236.536721967325858 Averaged sum = 0.7235813140653260532 logp*logq = 4.362265829214042925 -------------- ************************************* p = 2; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79.03659020446226843 -------------- Searches starting with [2,547]-exponents: u = 9, v = 10 n_start has 31 digits starting right neighbors generation We generated 605 left neighbors We generated 9405 right neighbors We generated 10001 non-negative rho_i D1(2,547) = 1.465537488468509203 D2(2,547) = 0.0000000000000000002745863175999852046 C1(2,547) = 1.221075256131883755 C2(2,547) = 5.308284827246482574 C3(2,547) = 0.6391987383196308701 C4(2,547) = 4376 Sum = 7452.430389825598425 Averaged sum = 0.7451685221303468078 logp*logq = 4.369910912383319978 -------------- ************************************* p = 2; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80.03533862586008655 -------------- Searches starting with [2,557]-exponents: u = 9, v = 8 n_start has 25 digits starting right neighbors generation We generated 414 left neighbors We generated 9596 right neighbors We generated 10001 non-negative rho_i D1(2,557) = 1.328260584509515076 D2(2,557) = 0.0000000000000000002745863175999852046 C1(2,557) = 1.106697130712594886 C2(2,557) = 5.319755302930937706 C3(2,557) = 0.6665642148939764556 C4(2,557) = 4456 Sum = 6814.264314651695701 Averaged sum = 0.6813582956356060095 logp*logq = 4.382468269961911074 -------------- ************************************* p = 2; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80.63194556456405122 -------------- Searches starting with [2,563]-exponents: u = 9, v = 7 n_start has 22 digits starting right neighbors generation We generated 332 left neighbors We generated 9678 right neighbors We generated 10001 non-negative rho_i D1(2,563) = 1.259892011833306494 D2(2,563) = 0.0000000000000000002745863175999852046 C1(2,563) = 1.049732929490275521 C2(2,563) = 5.326539149337177693 C3(2,563) = 0.6806271123070964362 C4(2,563) = 4504 Sum = 6757.260450542248048 Averaged sum = 0.6756584792063041744 logp*logq = 4.389894917942765256 -------------- ************************************* p = 2; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81.22660462944404897 -------------- Searches starting with [2,569]-exponents: u = 9, v = 6 n_start has 20 digits starting right neighbors generation We generated 259 left neighbors We generated 9751 right neighbors We generated 10001 non-negative rho_i D1(2,569) = 1.199136603028294178 D2(2,569) = 0.0000000000000000002745863175999852046 C1(2,569) = 0.9991119614483707959 C2(2,569) = 5.333251080823144211 C3(2,569) = 0.6933728211613909911 C4(2,569) = 4552 Sum = 6844.945654404480972 Averaged sum = 0.6844261228281652806 logp*logq = 4.397242836724068134 -------------- ************************************* p = 2; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81.42439610781430307 -------------- Searches starting with [2,571]-exponents: u = 9, v = 6 n_start has 20 digits starting right neighbors generation We generated 259 left neighbors We generated 9751 right neighbors We generated 10001 non-negative rho_i D1(2,571) = 1.180299023694634597 D2(2,571) = 0.0000000000000000002745863175999852046 C1(2,571) = 0.9834166263302017521 C2(2,571) = 5.335472672368591093 C3(2,571) = 0.6973729727000653899 C4(2,571) = 4568 Sum = 7184.389168300500552 Averaged sum = 0.7183670801220378514 logp*logq = 4.399674934589683067 -------------- ************************************* p = 2; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82.01649958503129316 -------------- Searches starting with [2,577]-exponents: u = 9, v = 5 n_start has 17 digits starting right neighbors generation We generated 195 left neighbors We generated 9815 right neighbors We generated 10001 non-negative rho_i D1(2,577) = 1.571034358506497846 D2(2,577) = 0.0000000000000000002745863175999852046 C1(2,577) = 1.467908224051150338 C2(2,577) = 5.342091056055506462 C3(2,577) = 0.5839106348718043851 C4(2,577) = 4616 Sum = 8183.013754948625592 Averaged sum = 0.8182195535395086083 logp*logq = 4.406920441474941613 -------------- ************************************* p = 2; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82.99915938581124749 -------------- Searches starting with [2,587]-exponents: u = 9, v = 5 n_start has 17 digits starting right neighbors generation We generated 195 left neighbors We generated 9815 right neighbors We generated 10001 non-negative rho_i D1(2,587) = 1.339282706722478526 D2(2,587) = 0.0000000000000000002745863175999852046 C1(2,587) = 1.211064061575497506 C2(2,587) = 5.352970240221609084 C3(2,587) = 0.6415484150023735890 C4(2,587) = 4696 Sum = 6461.742915024080130 Averaged sum = 0.6461096805343545775 logp*logq = 4.418830479863518384 -------------- ************************************* p = 2; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83.58628862632358227 -------------- Searches starting with [2,593]-exponents: u = 9, v = 4 n_start has 14 digits starting right neighbors generation We generated 140 left neighbors We generated 9870 right neighbors We generated 10001 non-negative rho_i D1(2,593) = 1.007190544487956384 D2(2,593) = 0.0000000000000000002745863175999852046 C1(2,593) = 0.8391838910715584682 C2(2,593) = 5.359409139180205475 C3(2,593) = 0.7352301211132564476 C4(2,593) = 4744 Sum = 7230.123216504786190 Averaged sum = 0.7229400276477138475 logp*logq = 4.425879494992427877 -------------- ************************************* p = 2; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84.17159776827827195 -------------- Searches starting with [2,599]-exponents: u = 9, v = 4 n_start has 14 digits starting right neighbors generation We generated 140 left neighbors We generated 9870 right neighbors We generated 10001 non-negative rho_i D1(2,599) = 0.9681571097477057993 D2(2,599) = 0.0000000000000000002745863175999852046 C1(2,599) = 0.8066615150162271425 C2(2,599) = 5.365783215907852373 C3(2,599) = 0.7440464094589670738 C4(2,599) = 4792 Sum = 7122.797363248388604 Averaged sum = 0.7122085154732915312 logp*logq = 4.432857545677013765 -------------- ************************************* p = 2; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84.36630047691934158 -------------- Searches starting with [2,601]-exponents: u = 9, v = 4 n_start has 14 digits starting right neighbors generation We generated 140 left neighbors We generated 9870 right neighbors We generated 10001 non-negative rho_i D1(2,601) = 1.244399935986739850 D2(2,601) = 0.0000000000000000002745863175999852046 C1(2,601) = 1.149133211903556419 C2(2,601) = 5.367893727664910229 C3(2,601) = 0.6562771006947822996 C4(2,601) = 4808 Sum = 6322.483998758701364 Averaged sum = 0.6321851813577343630 logp*logq = 4.435168038418226965 -------------- ************************************* p = 2; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84.94921973292202371 -------------- Searches starting with [2,607]-exponents: u = 9, v = 4 n_start has 14 digits starting right neighbors generation We generated 140 left neighbors We generated 9870 right neighbors We generated 10001 non-negative rho_i D1(2,607) = 1.353147102804850041 D2(2,607) = 0.0000000000000000002745863175999852046 C1(2,607) = 1.215782596664485313 C2(2,607) = 5.374183378137382502 C3(2,607) = 0.6404398773893256103 C4(2,607) = 4856 Sum = 6863.383403107062561 Averaged sum = 0.6862697133393723189 logp*logq = 4.442053663060126070 -------------- ************************************* p = 2; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85.53037355790684289 -------------- Searches starting with [2,613]-exponents: u = 9, v = 3 n_start has 12 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10001 non-negative rho_i D1(2,613) = 1.108943016223670754 D2(2,613) = 0.0000000000000000002745863175999852046 C1(2,613) = 0.9963838405604539155 C2(2,613) = 5.380411162192834416 C3(2,613) = 0.6940664655160472172 C4(2,613) = 4904 Sum = 7183.341466276259873 Averaged sum = 0.7182623203955864286 logp*logq = 4.448871559148998932 -------------- ************************************* p = 2; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85.91683980249823384 -------------- Searches starting with [2,617]-exponents: u = 9, v = 3 n_start has 12 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10001 non-negative rho_i D1(2,617) = 1.226533329117325533 D2(2,617) = 0.0000000000000000002745863175999852046 C1(2,617) = 1.144572002472471709 C2(2,617) = 5.384529244618154394 C3(2,617) = 0.6573751443795758645 C4(2,617) = 4936 Sum = 7617.336113231058645 Averaged sum = 0.7616574455785480096 logp*logq = 4.453379849386947424 -------------- ************************************* p = 2; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86.10978450101961469 -------------- Searches starting with [2,619]-exponents: u = 9, v = 3 n_start has 12 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10001 non-negative rho_i D1(2,619) = 1.128624925160882319 D2(2,619) = 0.0000000000000000002745863175999852046 C1(2,619) = 1.039185346970533242 C2(2,619) = 5.386578285050076541 C3(2,619) = 0.6832633902119868081 C4(2,619) = 4952 Sum = 6551.649547561523487 Averaged sum = 0.6550994448116711815 logp*logq = 4.455623046103846214 -------------- ************************************* p = 2; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87.26346543676055706 -------------- Searches starting with [2,631]-exponents: u = 9, v = 3 n_start has 12 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10001 non-negative rho_i D1(2,631) = 1.095408826004329862 D2(2,631) = 0.0000000000000000002745863175999852046 C1(2,631) = 1.006832394608562541 C2(2,631) = 5.398735194984110532 C3(2,631) = 0.6914135999789445274 C4(2,631) = 5048 Sum = 6299.292511862267741 Averaged sum = 0.6298662645597707970 logp*logq = 4.468931880828048210 -------------- ************************************* p = 2; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88.21973104088860302 -------------- Searches starting with [2,641]-exponents: u = 9, v = 3 n_start has 12 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10001 non-negative rho_i D1(2,641) = 1.333036107964156160 D2(2,641) = 0.0000000000000000002745863175999852046 C1(2,641) = 1.186370783420938568 C2(2,641) = 5.408690635006410924 C3(2,641) = 0.6473810423116399619 C4(2,641) = 5128 Sum = 7213.216350786974040 Averaged sum = 0.7212495101276846355 logp*logq = 4.479830645940436951 -------------- ************************************* p = 2; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88.41043314641981107 -------------- Searches starting with [2,643]-exponents: u = 9, v = 3 n_start has 12 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10001 non-negative rho_i D1(2,643) = 1.562170234521673849 D2(2,643) = 0.0000000000000000002745863175999852046 C1(2,643) = 1.390319626923019155 C2(2,643) = 5.410663075669713838 C3(2,643) = 0.6007537831509277515 C4(2,643) = 5144 Sum = 6752.048764457103492 Averaged sum = 0.6751373627094394052 logp*logq = 4.481989984697870937 -------------- ************************************* p = 2; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88.79129231204313545 -------------- Searches starting with [2,647]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,647) = 1.589929535657544855 D2(2,647) = 0.0000000000000000002745863175999852046 C1(2,647) = 1.415051398420326830 C2(2,647) = 5.414589618119882919 C3(2,647) = 0.5953328483783314435 C4(2,647) = 5176 Sum = 6737.900580747593997 Averaged sum = 0.6737226858061787818 logp*logq = 4.486288585640908683 -------------- ************************************* p = 2; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89.36122942144603859 -------------- Searches starting with [2,653]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,653) = 1.109037695889509631 D2(2,653) = 0.0000000000000000002745863175999852046 C1(2,653) = 0.9870533927909426983 C2(2,653) = 5.420434148304636568 C3(2,653) = 0.6964440482237988191 C4(2,653) = 5224 Sum = 7172.115983376466167 Averaged sum = 0.7171398843492116955 logp*logq = 4.492686912739782342 -------------- ************************************* p = 2; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89.92956184484727561 -------------- Searches starting with [2,659]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,659) = 1.305239211287340154 D2(2,659) = 0.0000000000000000002745863175999852046 C1(2,659) = 1.202021302192430080 C2(2,659) = 5.426225221671857409 C3(2,659) = 0.6436782187549985854 C4(2,659) = 5272 Sum = 7151.276775236059841 Averaged sum = 0.7150561719064153425 logp*logq = 4.499026717734495780 -------------- ************************************* p = 2; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90.11865269619722167 -------------- Searches starting with [2,661]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,661) = 1.410008393894735072 D2(2,661) = 0.0000000000000000002745863175999852046 C1(2,661) = 1.310277038951919859 C2(2,661) = 5.428143868415405005 C3(2,661) = 0.6186389448262409613 C4(2,661) = 5288 Sum = 7574.275020926102591 Averaged sum = 0.7573517669159186672 logp*logq = 4.501127165343514970 -------------- ************************************* p = 2; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91.24953675276022211 -------------- Searches starting with [2,673]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,673) = 1.132259572411178452 D2(2,673) = 0.0000000000000000002745863175999852046 C1(2,673) = 1.024458176854401612 C2(2,673) = 5.439535233088387710 C3(2,673) = 0.6869614111582768290 C4(2,673) = 5384 Sum = 7038.481524886166362 Averaged sum = 0.7037777747111455217 logp*logq = 4.513597915767634733 -------------- ************************************* p = 2; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91.62511970162410941 -------------- Searches starting with [2,677]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,677) = 1.308114824824423769 D2(2,677) = 0.0000000000000000002745863175999852046 C1(2,677) = 1.183589472941907336 C2(2,677) = 5.443287261495626401 C3(2,677) = 0.6480413101063798878 C4(2,677) = 5416 Sum = 6644.251905779277645 Averaged sum = 0.6643587547024575187 logp*logq = 4.517705466635693257 -------------- ************************************* p = 2; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92.18722014833647626 -------------- Searches starting with [2,683]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,683) = 1.115302230273233454 D2(2,683) = 0.0000000000000000002745863175999852046 C1(2,683) = 1.028831395438758496 C2(2,683) = 5.448873941337430546 C3(2,683) = 0.6858612031284550590 C4(2,683) = 5464 Sum = 6231.206284006431243 Averaged sum = 0.6230583225683862857 logp*logq = 4.523821510850469327 -------------- ************************************* p = 2; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92.93433652926797670 -------------- Searches starting with [2,691]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,691) = 1.070238953101136712 D2(2,691) = 0.0000000000000000002745863175999852046 C1(2,691) = 1.003244660010743650 C2(2,691) = 5.456246984664937006 C3(2,691) = 0.6923233730653808094 C4(2,691) = 5528 Sum = 7099.714380477011438 Averaged sum = 0.7099004480029008537 logp*logq = 4.531893184951258091 -------------- ************************************* p = 2; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93.86451075047255066 -------------- Searches starting with [2,701]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,701) = 1.082043363626533415 D2(2,701) = 0.0000000000000000002745863175999852046 C1(2,701) = 0.9966512429401305904 C2(2,701) = 5.465344166176902610 C3(2,701) = 0.6939984458747957390 C4(2,701) = 5608 Sum = 6649.177009518311846 Averaged sum = 0.6648512158302481598 logp*logq = 4.541852367494830740 -------------- ************************************* p = 2; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94.60572117995937400 -------------- Searches starting with [2,709]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,709) = 1.222242382347855448 D2(2,709) = 0.0000000000000000002745863175999852046 C1(2,709) = 1.069936589691530952 C2(2,709) = 5.472528957496629011 C3(2,709) = 0.6756057491936337198 C4(2,709) = 5672 Sum = 7023.371236964349331 Averaged sum = 0.7022668970067342597 logp*logq = 4.549717951818559470 -------------- ************************************* p = 2; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95.52863583528745518 -------------- Searches starting with [2,719]-exponents: u = 9, v = 2 n_start has 9 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10001 non-negative rho_i D1(2,719) = 1.651780260474379984 D2(2,719) = 0.0000000000000000002745863175999852046 C1(2,719) = 1.446098047801142712 C2(2,719) = 5.481396790703133125 C3(2,719) = 0.5885969535530313578 C4(2,719) = 5752 Sum = 6876.143528270605557 Averaged sum = 0.6875455982672338323 logp*logq = 4.559426054218557352 -------------- ************************************* p = 2; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96.26413416161972932 -------------- Searches starting with [2,727]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,727) = 1.614576363133746683 D2(2,727) = 0.0000000000000000002745863175999852046 C1(2,727) = 1.437936355775605396 C2(2,727) = 5.488402703853408917 C3(2,727) = 0.5903602983105712151 C4(2,727) = 5816 Sum = 6816.279526002867100 Averaged sum = 0.6815597966206246476 logp*logq = 4.567095810819130779 -------------- ************************************* p = 2; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96.81412886744150455 -------------- Searches starting with [2,733]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,733) = 1.238941455699227083 D2(2,733) = 0.0000000000000000002745863175999852046 C1(2,733) = 1.103413977467353478 C2(2,733) = 5.493606729924212712 C3(2,733) = 0.6673667864459153820 C4(2,733) = 5864 Sum = 7167.474526249369722 Averaged sum = 0.7166757850464323290 logp*logq = 4.572792943005893953 -------------- ************************************* p = 2; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97.36274383666855456 -------------- Searches starting with [2,739]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,739) = 1.782515508927186875 D2(2,739) = 0.0000000000000000002745863175999852046 C1(2,739) = 1.654102222551711528 C2(2,739) = 5.498768331397598035 C3(2,739) = 0.5453923492056961297 C4(2,739) = 5912 Sum = 9550.261790375136870 Averaged sum = 0.9549306859689167953 logp*logq = 4.578443630663714574 -------------- ************************************* p = 2; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97.72772786100228033 -------------- Searches starting with [2,743]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,743) = 1.007282952455274860 D2(2,743) = 0.0000000000000000002745863175999852046 C1(2,743) = 0.9306915346172716725 C2(2,743) = 5.502186169337439306 C3(2,743) = 0.7109803600805660065 C4(2,743) = 5944 Sum = 6331.542905675960817 Averaged sum = 0.6330909814694491368 logp*logq = 4.582185324934896904 -------------- ************************************* p = 2; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98.45589278087985698 -------------- Searches starting with [2,751]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,751) = 1.251672400574433119 D2(2,751) = 0.0000000000000000002745863175999852046 C1(2,751) = 1.173843633175095014 C2(2,751) = 5.508966988534346147 C3(2,751) = 0.6503602373512580352 C4(2,751) = 6008 Sum = 7052.766318892341790 Averaged sum = 0.7052061112781063683 logp*logq = 4.589608658863997060 -------------- ************************************* p = 2; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99.00045519248156427 -------------- Searches starting with [2,757]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,757) = 1.200572359725565572 D2(2,757) = 0.0000000000000000002745863175999852046 C1(2,757) = 1.126263577379134165 C2(2,757) = 5.514005367436026485 C3(2,757) = 0.6618011451827852124 C4(2,757) = 6056 Sum = 7149.369658087453082 Averaged sum = 0.7148654792608192263 logp*logq = 4.595124448027873784 -------------- ************************************* p = 2; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99.36276104068969452 -------------- Searches starting with [2,761]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,761) = 1.681620347280542223 D2(2,761) = 0.0000000000000000002745863175999852046 C1(2,761) = 1.535037555009601368 C2(2,761) = 5.517342149550890749 C3(2,761) = 0.5697195268059449301 C4(2,761) = 6088 Sum = 7110.040736178538895 Averaged sum = 0.7109329803198219073 logp*logq = 4.598777406050790196 -------------- ************************************* p = 2; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100.0856250462403158 -------------- Searches starting with [2,769]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,769) = 0.8748112947802527529 D2(2,769) = 0.0000000000000000002745863175999852046 C1(2,769) = 0.7919576015566631309 C2(2,769) = 5.523963417117672867 C3(2,769) = 0.7480670294013624895 C4(2,769) = 6152 Sum = 7106.097187470119134 Averaged sum = 0.7105386648805238611 logp*logq = 4.606026070077190634 -------------- ************************************* p = 2; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100.4461911291866556 -------------- Searches starting with [2,773]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,773) = 1.118359281940728313 D2(2,773) = 0.0000000000000000002745863175999852046 C1(2,773) = 1.012460427792531336 C2(2,773) = 5.527248264645733820 C3(2,773) = 0.6899888586787382878 C4(2,773) = 6184 Sum = 6988.223853555419324 Averaged sum = 0.6987525101045314792 logp*logq = 4.609622172465247076 -------------- ************************************* p = 2; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101.7036924549816222 -------------- Searches starting with [2,787]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,787) = 0.9095430375823774418 D2(2,787) = 0.0000000000000000002745863175999852046 C1(2,787) = 0.8327906579044450031 C2(2,787) = 5.538612853304235910 C3(2,787) = 0.7369549342193212623 C4(2,787) = 6296 Sum = 7088.840333078033832 Averaged sum = 0.7088131519926041228 logp*logq = 4.622063609720705640 -------------- ************************************* p = 2; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102.5977070795238623 -------------- Searches starting with [2,797]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,797) = 0.9634361607875072804 D2(2,797) = 0.0000000000000000002745863175999852046 C1(2,797) = 0.8877169771639783042 C2(2,797) = 5.546607314827391910 C3(2,797) = 0.7222674769898000699 C4(2,797) = 6376 Sum = 6801.193133848848870 Averaged sum = 0.6800513082540594810 logp*logq = 4.630815584334156607 -------------- ************************************* p = 2; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103.6659946439044131 -------------- Searches starting with [2,809]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,809) = 1.523538769350679136 D2(2,809) = 0.0000000000000000002745863175999852046 C1(2,809) = 1.433183562611160695 C2(2,809) = 5.556069303235918475 C3(2,809) = 0.5913895786193339808 C4(2,809) = 6472 Sum = 7399.943790720620180 Averaged sum = 0.7399203870333586821 logp*logq = 4.641174140955428606 -------------- ************************************* p = 2; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103.8435683556310507 -------------- Searches starting with [2,811]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,811) = 1.679162393568551678 D2(2,811) = 0.0000000000000000002745863175999852046 C1(2,811) = 1.496376700563292812 C2(2,811) = 5.557632644624903588 C3(2,811) = 0.5778497484890391651 C4(2,811) = 6488 Sum = 6381.248656431232512 Averaged sum = 0.6380610595371695342 logp*logq = 4.642885616344849640 -------------- ************************************* p = 2; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104.7294306488683817 -------------- Searches starting with [2,821]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,821) = 1.160158140865117726 D2(2,821) = 0.0000000000000000002745863175999852046 C1(2,821) = 1.033880863781691334 C2(2,821) = 5.565391968951981680 C3(2,821) = 0.6845930568000543895 C4(2,821) = 6568 Sum = 6331.936701897872211 Averaged sum = 0.6331303571540718139 logp*logq = 4.651380173399307905 -------------- ************************************* p = 2; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104.9062048422127366 -------------- Searches starting with [2,823]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,823) = 1.087010459791502780 D2(2,823) = 0.0000000000000000002745863175999852046 C1(2,823) = 0.9686949334949606030 C2(2,823) = 5.566932487816253060 C3(2,823) = 0.7011459512782130386 C4(2,823) = 6584 Sum = 7207.314373410084870 Averaged sum = 0.7206593714038681001 logp*logq = 4.653066663721713368 -------------- ************************************* p = 2; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105.2593583351434361 -------------- Searches starting with [2,827]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,827) = 1.181098792950542829 D2(2,827) = 0.0000000000000000002745863175999852046 C1(2,827) = 1.091589292309440364 C2(2,827) = 5.570002326270577280 C3(2,827) = 0.6702653638249150909 C4(2,827) = 6616 Sum = 5971.276914401107819 Averaged sum = 0.5970679846416466172 logp*logq = 4.656427383908034897 -------------- ************************************* p = 2; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105.4357384670244146 -------------- Searches starting with [2,829]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,829) = 0.9906910729176639224 D2(2,829) = 0.0000000000000000002745863175999852046 C1(2,829) = 0.9235387741264890840 C2(2,829) = 5.571531681943777994 C3(2,829) = 0.7128466966654996784 C4(2,829) = 6632 Sum = 7148.975475870941082 Averaged sum = 0.7148260649805960485 logp*logq = 4.658101653274147984 -------------- ************************************* p = 2; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106.3156894193476769 -------------- Searches starting with [2,839]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,839) = 1.235332387780720480 D2(2,839) = 0.0000000000000000002745863175999852046 C1(2,839) = 1.128024914465769239 C2(2,839) = 5.579123534782154211 C3(2,839) = 0.6613740554699457606 C4(2,839) = 6712 Sum = 6052.805040163330945 Averaged sum = 0.6052199820181312814 logp*logq = 4.666412870123221532 -------------- ************************************* p = 2; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107.5422348376996424 -------------- Searches starting with [2,853]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,853) = 1.060512807177513937 D2(2,853) = 0.0000000000000000002745863175999852046 C1(2,853) = 0.9860552365864243079 C2(2,853) = 5.589601482144684388 C3(2,853) = 0.6966988799371622072 C4(2,853) = 6824 Sum = 7284.613980975537121 Averaged sum = 0.7283885592416295491 logp*logq = 4.677883652620869708 -------------- ************************************* p = 2; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107.8915388244042081 -------------- Searches starting with [2,857]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,857) = 1.199637250125659052 D2(2,857) = 0.0000000000000000002745863175999852046 C1(2,857) = 1.079599172001718142 C2(2,857) = 5.592563606568963588 C3(2,857) = 0.6732173493129877542 C4(2,857) = 6856 Sum = 6738.132515867649315 Averaged sum = 0.6737458769990650250 logp*logq = 4.681126452362676500 -------------- ************************************* p = 2; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108.0660031560580999 -------------- Searches starting with [2,859]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,859) = 1.405795911680257023 D2(2,859) = 0.0000000000000000002745863175999852046 C1(2,859) = 1.265142441508878125 C2(2,859) = 5.594039488218273745 C3(2,859) = 0.6289578402301348919 C4(2,859) = 6872 Sum = 6630.075397623114249 Averaged sum = 0.6629412456377476502 logp*logq = 4.682742180787887735 -------------- ************************************* p = 2; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108.4145583967177016 -------------- Searches starting with [2,863]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,863) = 1.339430103630495246 D2(2,863) = 0.0000000000000000002745863175999852046 C1(2,863) = 1.213125153717390058 C2(2,863) = 5.596980970585988363 C3(2,863) = 0.6410639614924059390 C4(2,863) = 6904 Sum = 6370.642097724391301 Averaged sum = 0.6370005097214669833 logp*logq = 4.685962382540511721 -------------- ************************************* p = 2; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109.6306200823081592 -------------- Searches starting with [2,877]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,877) = 1.162005842422527569 D2(2,877) = 0.0000000000000000002745863175999852046 C1(2,877) = 1.066881607615972246 C2(2,877) = 5.607169858472227669 C3(2,877) = 0.6763626421309098936 C4(2,877) = 7016 Sum = 6007.850744398558875 Averaged sum = 0.6007250019396619213 logp*logq = 4.697116715807533490 -------------- ************************************* p = 2; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109.9769693836618010 -------------- Searches starting with [2,881]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,881) = 1.005730638310156314 D2(2,881) = 0.0000000000000000002745863175999852046 C1(2,881) = 0.9376718420929579198 C2(2,881) = 5.610051105496064897 C3(2,881) = 0.7091637320063576346 C4(2,881) = 7048 Sum = 7202.930663656609177 Averaged sum = 0.7202210442612347942 logp*logq = 4.700270974632179097 -------------- ************************************* p = 2; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110.1499630305278299 -------------- Searches starting with [2,883]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,883) = 1.146529716536643422 D2(2,883) = 0.0000000000000000002745863175999852046 C1(2,883) = 1.061119231968396370 C2(2,883) = 5.611486827065598054 C3(2,883) = 0.6777926194862021340 C4(2,883) = 7064 Sum = 6467.962134676554966 Averaged sum = 0.6467315403136241341 logp*logq = 4.701842737619860309 -------------- ************************************* p = 2; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110.4955901001882500 -------------- Searches starting with [2,887]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,887) = 1.043214119412144325 D2(2,887) = 0.0000000000000000002745863175999852046 C1(2,887) = 0.9449506483632354968 C2(2,887) = 5.614348540144572781 C3(2,887) = 0.7072743629636900731 C4(2,887) = 7096 Sum = 7129.546613668506112 Averaged sum = 0.7128833730295476564 logp*logq = 4.704975611565856870 -------------- ************************************* p = 2; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112.2166119257880957 -------------- Searches starting with [2,907]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,907) = 1.207836278209507570 D2(2,907) = 0.0000000000000000002745863175999852046 C1(2,907) = 1.133731487151124609 C2(2,907) = 5.628466247459473980 C3(2,907) = 0.6599922156432454900 C4(2,907) = 7256 Sum = 6918.438770942128083 Averaged sum = 0.6917746996242503832 logp*logq = 4.720431038508904933 -------------- ************************************* p = 2; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112.5594128023965515 -------------- Searches starting with [2,911]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,911) = 1.286019538219097821 D2(2,911) = 0.0000000000000000002745863175999852046 C1(2,911) = 1.170418736374143595 C2(2,911) = 5.631252403510332933 C3(2,911) = 0.6511771269507991204 C4(2,911) = 7288 Sum = 6386.026845170567830 Averaged sum = 0.6385388306339933836 logp*logq = 4.723481196040541169 -------------- ************************************* p = 2; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113.2436325280572286 -------------- Searches starting with [2,919]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,919) = 1.129656428405564229 D2(2,919) = 0.0000000000000000002745863175999852046 C1(2,919) = 0.9486069794865646189 C2(2,919) = 5.636788202192326506 C3(2,919) = 0.7063271846197783887 C4(2,919) = 7352 Sum = 7017.187752499447273 Averaged sum = 0.7016486103889058367 logp*logq = 4.729541537864646495 -------------- ************************************* p = 2; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114.0963428205387500 -------------- Searches starting with [2,929]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,929) = 1.186430575413347579 D2(2,929) = 0.0000000000000000002745863175999852046 C1(2,929) = 0.9964136520871386073 C2(2,929) = 5.643640573630644523 C3(2,929) = 0.6940588819723142829 C4(2,929) = 7432 Sum = 6353.275989297114213 Averaged sum = 0.6352640725224591753 logp*logq = 4.737043203948895846 -------------- ************************************* p = 2; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114.7764845568471468 -------------- Searches starting with [2,937]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,937) = 1.235856876917135090 D2(2,937) = 0.0000000000000000002745863175999852046 C1(2,937) = 1.038032304151338393 C2(2,937) = 5.649069571016482806 C3(2,937) = 0.6835522018216637906 C4(2,937) = 7496 Sum = 6922.849206761399880 Averaged sum = 0.6922156991062293650 logp*logq = 4.742986624548234835 -------------- ************************************* p = 2; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115.1158868449479029 -------------- Searches starting with [2,941]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,941) = 1.722654457127758120 D2(2,941) = 0.0000000000000000002745863175999852046 C1(2,941) = 1.617493399103527913 C2(2,941) = 5.651766712223368569 C3(2,941) = 0.5527595236978885527 C4(2,941) = 7528 Sum = 7356.094972956176974 Averaged sum = 0.7355359437012475727 logp*logq = 4.745939332657865958 -------------- ************************************* p = 2; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115.6241615071175636 -------------- Searches starting with [2,947]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,947) = 1.303815843380244774 D2(2,947) = 0.0000000000000000002745863175999852046 C1(2,947) = 1.095254229997170770 C2(2,947) = 5.655791002937643844 C3(2,947) = 0.6693656362886901318 C4(2,947) = 7576 Sum = 6546.503611826846038 Averaged sum = 0.6545849026924153623 logp*logq = 4.750344943975960032 -------------- ************************************* p = 2; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116.1314489557591450 -------------- Searches starting with [2,953]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,953) = 1.348600871645614215 D2(2,953) = 0.0000000000000000002745863175999852046 C1(2,953) = 1.132962027388065211 C2(2,953) = 5.659789876909473941 C3(2,953) = 0.6601783708798758716 C4(2,953) = 7624 Sum = 7221.600556999142276 Averaged sum = 0.7220878469152227053 logp*logq = 4.754722730194891079 -------------- ************************************* p = 2; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117.3113258703624286 -------------- Searches starting with [2,967]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,967) = 1.468608705843416206 D2(2,967) = 0.0000000000000000002745863175999852046 C1(2,967) = 1.233998198414189425 C2(2,967) = 5.669023520945424286 C3(2,967) = 0.6361783797299034225 C4(2,967) = 7736 Sum = 5257.859853761271971 Averaged sum = 0.5257334120349237047 logp*logq = 4.764831305732868987 -------------- ************************************* p = 2; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117.6474685867267327 -------------- Searches starting with [2,971]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,971) = 1.508023069691499648 D2(2,971) = 0.0000000000000000002745863175999852046 C1(2,971) = 1.267179129580052698 C2(2,971) = 5.671637159087628647 C3(2,971) = 0.6284885156936918497 C4(2,971) = 7768 Sum = 5523.602189890235506 Averaged sum = 0.5523049884901745331 logp*logq = 4.767692598466977924 -------------- ************************************* p = 2; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118.1508871719633770 -------------- Searches starting with [2,977]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,977) = 1.572790825194376996 D2(2,977) = 0.0000000000000000002745863175999852046 C1(2,977) = 1.321700876422077389 C2(2,977) = 5.675537497546124687 C3(2,977) = 0.6160541285090454530 C4(2,977) = 7816 Sum = 6908.045697169341209 Averaged sum = 0.6907354961673173892 logp*logq = 4.771962512466032105 -------------- ************************************* p = 2; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118.6533579717126778 -------------- Searches starting with [2,983]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,983) = 1.645997169651550790 D2(2,983) = 0.0000000000000000002745863175999852046 C1(2,983) = 1.383321819092793214 C2(2,983) = 5.679413956231759236 C3(2,983) = 0.6022965662447394372 C4(2,983) = 7864 Sum = 8289.285283143405748 Averaged sum = 0.8288456437499655782 logp*logq = 4.776206283970653937 -------------- ************************************* p = 2; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119.3218577447935041 -------------- Searches starting with [2,991]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,991) = 1.761582949479797220 D2(2,991) = 0.0000000000000000002745863175999852046 C1(2,991) = 1.480605745018157169 C2(2,991) = 5.684545923058530625 C3(2,991) = 0.5811995416945797855 C4(2,991) = 7928 Sum = 6092.680180325782282 Averaged sum = 0.6092070973228459436 logp*logq = 4.781824528958747209 -------------- ************************************* p = 2; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119.8221462365451303 -------------- Searches starting with [2,997]-exponents: u = 9, v = 1 n_start has 6 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10001 non-negative rho_i D1(2,997) = 1.867765138933713703 D2(2,997) = 0.0000000000000000002745863175999852046 C1(2,997) = 1.569964937959636150 C2(2,997) = 5.688367783400582662 C3(2,997) = 0.5624728376889903037 C4(2,997) = 7976 Sum = 7962.600034384899014 Averaged sum = 0.7961803853999499064 logp*logq = 4.786008528668159753 -------------- ************************************* p = 3; q = 5; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.859992176082071637 -------------- Searches starting with [3,5]-exponents: u = 1, v = 2 n_start has 2 digits starting right neighbors generation We generated 9 left neighbors We generated 10001 right neighbors We generated 10006 non-negative rho_i D1(3,5) = 2.160529621344035998 D2(3,5) = 0.1323896610123142501 C1(3,5) = 2.349549226807010739 C2(3,5) = 1.336857050879938559 C3(3,5) = 1.247286012245265242 C4(3,5) = 40 Sum = 8608.762278644948052 Averaged sum = 0.8603600118573803769 logp*logq = 1.768148268448451729 -------------- ************************************* p = 3; q = 7; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.480766224597783502 -------------- Searches starting with [3,7]-exponents: u = 7, v = 1 n_start has 5 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(3,7) = 1.171066900180827462 D2(3,7) = 0.1383426171355669579 C1(3,7) = 1.197753475458832181 C2(3,7) = 2.857546137350456696 C3(3,7) = 1.119235779177771578 C4(3,7) = 56 Sum = 7656.313659192750210 Averaged sum = 0.7649429172937106813 logp*logq = 2.137800802396160218 -------------- ************************************* p = 3; q = 11; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13.93435277192717942 -------------- Searches starting with [3,11]-exponents: u = 2, v = 5 n_start has 7 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(3,11) = 1.401208927246172852 D2(3,11) = 0.2086747873856793731 C1(3,11) = 1.442674762212914106 C2(3,11) = 2.325291512541000341 C3(3,11) = 1.145315823484807442 C4(3,11) = 88 Sum = 7573.590925884648805 Averaged sum = 0.7566780823143819367 logp*logq = 2.634357213635459097 -------------- ************************************* p = 3; q = 13; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16.74140318647690652 -------------- Searches starting with [3,13]-exponents: u = 2, v = 2 n_start has 4 digits starting right neighbors generation We generated 9 left neighbors We generated 10001 right neighbors We generated 10009 non-negative rho_i D1(3,13) = 2.641084271977120834 D2(3,13) = 0.1285354272430071260 C1(3,13) = 2.768730575920118945 C2(3,13) = 0.8514035120542427289 C3(3,13) = 1.297440004809751535 C4(3,13) = 104 Sum = 7486.477382163854777 Averaged sum = 0.7479745611113852310 logp*logq = 2.817884883918616269 -------------- ************************************* p = 3; q = 17; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22.47948231793296408 -------------- Searches starting with [3,17]-exponents: u = 5, v = 1 n_start has 4 digits starting right neighbors generation We generated 15 left neighbors We generated 9995 right neighbors We generated 10007 non-negative rho_i D1(3,17) = 1.746187146636111865 D2(3,17) = 0.07956473614854303864 C1(3,17) = 1.788384843028166685 C2(3,17) = 3.398158857909538190 C3(3,17) = 1.183165778819012949 C4(3,17) = 136 Sum = 7260.226179582346623 Averaged sum = 0.7255147576278951357 logp*logq = 3.112602996198628042 -------------- ************************************* p = 3; q = 19; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25.40121089057946776 -------------- Searches starting with [3,19]-exponents: u = 8, v = 1 n_start has 6 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(3,19) = 1.422507451159127297 D2(3,19) = 0.2039287543330515386 C1(3,19) = 1.486843828435695957 C2(3,19) = 1.388341160815040759 C3(3,19) = 1.150083366170249211 C4(3,19) = 152 Sum = 7956.719986973464686 Averaged sum = 0.7949565378133144856 logp*logq = 3.234796845745635704 -------------- ************************************* p = 3; q = 23; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31.33364613761837401 -------------- Searches starting with [3,23]-exponents: u = 17, v = 1 n_start has 10 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(3,23) = 1.206570423206570579 D2(3,23) = 0.06563607478948301282 C1(3,23) = 1.244463118587223482 C2(3,23) = 2.241578711962321390 C3(3,23) = 1.124163330617737014 C4(3,23) = 184 Sum = 7690.788150980761808 Averaged sum = 0.7683872665581738243 logp*logq = 3.444692476667543261 -------------- ************************************* p = 3; q = 29; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40.42112637673585602 -------------- Searches starting with [3,29]-exponents: u = 3, v = 15 n_start has 24 digits starting right neighbors generation We generated 361 left neighbors We generated 9649 right neighbors We generated 10009 non-negative rho_i D1(3,29) = 0.9394181270073184113 D2(3,29) = 0.01515955992635051060 C1(3,29) = 0.9572713349993611352 C2(3,29) = 1.767025886057834891 C3(3,29) = 1.094206331988320478 C4(3,29) = 232 Sum = 7461.949951007601016 Averaged sum = 0.7455240234796284360 logp*logq = 3.699352578404022218 -------------- ************************************* p = 3; q = 31; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43.49389319755366645 -------------- Searches starting with [3,31]-exponents: u = 3, v = 7 n_start has 12 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(3,31) = 1.514928151496679328 D2(3,31) = 0.007147940986477944993 C1(3,31) = 1.559190716875223548 C2(3,31) = 2.190110423679945375 C3(3,31) = 1.157935293475938935 C4(3,31) = 248 Sum = 6706.789285170940603 Averaged sum = 0.6700758602428754724 logp*logq = 3.772620541976430511 -------------- ************************************* p = 3; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52.82575163645787646 -------------- Searches starting with [3,37]-exponents: u = 3, v = 3 n_start has 7 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(3,37) = 1.480763570920495388 D2(3,37) = 0.2296184840924201544 C1(3,37) = 1.525178450192645583 C2(3,37) = 2.766859216965004968 C3(3,37) = 1.154237231253251544 C4(3,37) = 296 Sum = 6682.922568264202415 Averaged sum = 0.6676913346252575098 logp*logq = 3.966998792202744799 -------------- ************************************* p = 3; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59.13221726893753381 -------------- Searches starting with [3,41]-exponents: u = 3, v = 2 n_start has 5 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10007 non-negative rho_i D1(3,41) = 1.022903285716958342 D2(3,41) = 0.01389738965876264630 C1(3,41) = 1.040456358467741873 C2(3,41) = 3.274296309359217123 C3(3,41) = 1.102800286812255885 C4(3,41) = 328 Sum = 7164.418829368563937 Averaged sum = 0.7159407244297555648 logp*logq = 4.079775907335981703 -------------- ************************************* p = 3; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62.30867534614637635 -------------- Searches starting with [3,43]-exponents: u = 3, v = 2 n_start has 5 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10007 non-negative rho_i D1(3,43) = 0.9916232421424955483 D2(3,43) = 0.06925903810460130082 C1(3,43) = 1.020981675615602022 C2(3,43) = 3.341682608229302940 C3(3,43) = 1.100782299752930221 C4(3,43) = 344 Sum = 7023.824068685805506 Averaged sum = 0.7018910831104032683 logp*logq = 4.132100667240863569 -------------- ************************************* p = 3; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68.70482766340990629 -------------- Searches starting with [3,47]-exponents: u = 7, v = 1 n_start has 6 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10007 non-negative rho_i D1(3,47) = 2.254577604006166075 D2(3,47) = 0.05355419170452135837 C1(3,47) = 2.363543645399691349 C2(3,47) = 1.034304740998560257 C3(3,47) = 1.248928701850459662 C4(3,47) = 376 Sum = 7083.056189037475856 Averaged sum = 0.7078101517974893430 logp*logq = 4.229819468424721102 -------------- ************************************* p = 3; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78.39902459024305902 -------------- Searches starting with [3,53]-exponents: u = 7, v = 1 n_start has 6 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10007 non-negative rho_i D1(3,53) = 0.9771181314493830139 D2(3,53) = 0.02001282317975564583 C1(3,53) = 1.000988785076850149 C2(3,53) = 3.228046573687611548 C3(3,53) = 1.098714456768240335 C4(3,53) = 424 Sum = 7081.943796391196955 Averaged sum = 0.7076989903458775812 logp*logq = 4.361811485827985281 -------------- ************************************* p = 3; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88.20227385762950913 -------------- Searches starting with [3,59]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(3,59) = 1.568295098633939512 D2(3,59) = 0.2189707656532510334 C1(3,59) = 1.596321596771921433 C2(3,59) = 2.787982871193612571 C3(3,59) = 1.161985963036820441 C4(3,59) = 472 Sum = 8069.590156791749754 Averaged sum = 0.8062334056141222653 logp*logq = 4.479632743379176385 -------------- ************************************* p = 3; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91.49245815467882135 -------------- Searches starting with [3,61]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(3,61) = 1.288532643051356832 D2(3,61) = 0.1479792903200164569 C1(3,61) = 1.314025813106816462 C2(3,61) = 2.730901085567509502 C3(3,61) = 1.131541964790529487 C4(3,61) = 488 Sum = 8013.415419106020108 Averaged sum = 0.8006209830258787199 logp*logq = 4.516256544345357369 -------------- ************************************* p = 3; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101.4257477730228358 -------------- Searches starting with [3,67]-exponents: u = 19, v = 1 n_start has 11 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(3,67) = 0.9915469462846887997 D2(3,67) = 0.1316451029815471769 C1(3,67) = 1.021302986491167952 C2(3,67) = 2.430910517062894150 C3(3,67) = 1.100815564344347829 C4(3,67) = 536 Sum = 7055.055748695901431 Averaged sum = 0.7048711907978720582 logp*logq = 4.619326981735018278 -------------- ************************************* p = 3; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108.0973808693376283 -------------- Searches starting with [3,71]-exponents: u = 31, v = 1 n_start has 17 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(3,71) = 1.378069805859979978 D2(3,71) = 0.08714860166814542900 C1(3,71) = 1.406400441861753666 C2(3,71) = 2.212225601399494022 C3(3,71) = 1.141415211762642833 C4(3,71) = 568 Sum = 7833.905678794338921 Averaged sum = 0.7826861503441241803 logp*logq = 4.683032495575855943 -------------- ************************************* p = 3; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111.4472590598056821 -------------- Searches starting with [3,73]-exponents: u = 39, v = 1 n_start has 21 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(3,73) = 0.9560032551981095727 D2(3,73) = 0.007069642498924549007 C1(3,73) = 0.9764061954130307312 C2(3,73) = 2.141454838786120992 C3(3,73) = 1.096177229882618331 C4(3,73) = 584 Sum = 6681.894570721083735 Averaged sum = 0.6675886273075315950 logp*logq = 4.713551466077732859 -------------- ************************************* p = 3; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121.5504138362303255 -------------- Searches starting with [3,79]-exponents: u = 171, v = 1 n_start has 84 digits starting right neighbors generation We generated 3364 left neighbors We generated 6646 right neighbors We generated 10009 non-negative rho_i D1(3,79) = 1.243417678907697524 D2(3,79) = 0.009097014766749444769 C1(3,79) = 1.266059643606711844 C2(3,79) = 1.494146049557963999 C3(3,79) = 1.126448946176519064 C4(3,79) = 632 Sum = 7744.366072925017424 Averaged sum = 0.7737402410755337620 logp*logq = 4.800329105414751385 -------------- ************************************* p = 3; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128.3283987255275461 -------------- Searches starting with [3,83]-exponents: u = 4, v = 45 n_start has 89 digits starting right neighbors generation We generated 3758 left neighbors We generated 6252 right neighbors We generated 10009 non-negative rho_i D1(3,83) = 1.305680019462396123 D2(3,83) = 0.004232988807687111040 C1(3,83) = 1.329301556048387853 C2(3,83) = 1.493971190993169986 C3(3,83) = 1.133168763341485208 C4(3,83) = 664 Sum = 6951.079177729703477 Averaged sum = 0.6944828831781100486 logp*logq = 4.854592593391001319 -------------- ************************************* p = 3; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138.5555149319766258 -------------- Searches starting with [3,89]-exponents: u = 4, v = 11 n_start has 24 digits starting right neighbors generation We generated 264 left neighbors We generated 9746 right neighbors We generated 10009 non-negative rho_i D1(3,89) = 1.432094128200091969 D2(3,89) = 0.04172728446568285750 C1(3,89) = 1.459232866511308364 C2(3,89) = 2.063913730045638992 C3(3,89) = 1.147100760271969066 C4(3,89) = 712 Sum = 8006.829245044108492 Averaged sum = 0.7999629578423527317 logp*logq = 4.931271075150341555 -------------- ************************************* p = 3; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152.2971730622100598 -------------- Searches starting with [3,97]-exponents: u = 4, v = 6 n_start has 14 digits starting right neighbors generation We generated 95 left neighbors We generated 9915 right neighbors We generated 10009 non-negative rho_i D1(3,97) = 1.226814100517101181 D2(3,97) = 0.1029715740914295295 C1(3,97) = 1.262665577530177763 C2(3,97) = 2.450622653921452161 C3(3,97) = 1.126089435939075985 C4(3,97) = 776 Sum = 6772.630911509131011 Averaged sum = 0.6766541024587002708 logp*logq = 5.025833698088728958 -------------- ************************************* p = 3; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 159.2106412957026992 -------------- Searches starting with [3,101]-exponents: u = 4, v = 4 n_start has 10 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(3,101) = 1.704085268556045895 D2(3,101) = 0.02891451970715575368 C1(3,101) = 1.756725878326409635 C2(3,101) = 2.677276105298388745 C3(3,101) = 1.179648193089071718 C4(3,101) = 808 Sum = 5671.685261373974829 Averaged sum = 0.5666585334572859256 logp*logq = 5.070228113486125323 -------------- ************************************* p = 3; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162.6775826055848680 -------------- Searches starting with [3,103]-exponents: u = 4, v = 4 n_start has 10 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(3,103) = 1.324361487631681806 D2(3,103) = 0.06175160235269697828 C1(3,103) = 1.349753245372089904 C2(3,103) = 2.714589736849116284 C3(3,103) = 1.135350439499389496 C4(3,103) = 824 Sum = 7795.293530147695289 Averaged sum = 0.7788284074480662692 logp*logq = 5.091770221115392578 -------------- ************************************* p = 3; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169.6312867968398075 -------------- Searches starting with [3,107]-exponents: u = 4, v = 3 n_start has 8 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(3,107) = 1.434275885471826266 D2(3,107) = 0.1299300216338067639 C1(3,107) = 1.481886324521405367 C2(3,107) = 2.791463844992713777 C3(3,107) = 1.149547273441139870 C4(3,107) = 856 Sum = 6875.851822563617718 Averaged sum = 0.6869669120355297950 logp*logq = 5.133627180382530220 -------------- ************************************* p = 3; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173.1178253106764756 -------------- Searches starting with [3,109]-exponents: u = 4, v = 3 n_start has 9 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(3,109) = 1.366514456563378143 D2(3,109) = 0.1655808032971638312 C1(3,109) = 1.391900220670340661 C2(3,109) = 2.831340156846365474 C3(3,109) = 1.139859708384852977 C4(3,109) = 872 Sum = 7778.966406996023149 Averaged sum = 0.7771971632526749075 logp*logq = 5.153972433834049087 -------------- ************************************* p = 3; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180.1097434493988497 -------------- Searches starting with [3,113]-exponents: u = 4, v = 3 n_start has 9 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(3,113) = 1.399300656367379185 D2(3,113) = 0.2311312823968086941 C1(3,113) = 1.425855494820049323 C2(3,113) = 1.925164608562076541 C3(3,113) = 1.143505577208964207 C4(3,113) = 904 Sum = 7928.049412215265198 Averaged sum = 0.7920920583689944248 logp*logq = 5.193566350937307303 -------------- ************************************* p = 3; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204.7691939716411963 -------------- Searches starting with [3,127]-exponents: u = 4, v = 2 n_start has 7 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10007 non-negative rho_i D1(3,127) = 1.070674909132164382 D2(3,127) = 0.04320736002846498748 C1(3,127) = 1.092686059073822323 C2(3,127) = 3.345215819328409567 C3(3,127) = 1.108230667279245944 C4(3,127) = 1016 Sum = 6897.893761232904256 Averaged sum = 0.6893068613203661693 logp*logq = 5.321883461790775115 -------------- ************************************* p = 3; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 211.8655105041432060 -------------- Searches starting with [3,131]-exponents: u = 4, v = 2 n_start has 7 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10007 non-negative rho_i D1(3,131) = 1.465627444327881439 D2(3,131) = 0.07459715735577605078 C1(3,131) = 1.497963693169097376 C2(3,131) = 3.385391127848532869 C3(3,131) = 1.151286751484294013 C4(3,131) = 1048 Sum = 7063.157345384859846 Averaged sum = 0.7058216593769221391 logp*logq = 5.355951688950659161 -------------- ************************************* p = 3; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 222.5499353860927139 -------------- Searches starting with [3,137]-exponents: u = 4, v = 2 n_start has 7 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10007 non-negative rho_i D1(3,137) = 1.321755934241882152 D2(3,137) = 0.07750908658705204292 C1(3,137) = 1.378455463107040128 C2(3,137) = 1.547361619048795376 C3(3,137) = 1.138419323340645474 C4(3,137) = 1096 Sum = 5669.861760228630171 Averaged sum = 0.5665895633285330439 logp*logq = 5.405151505127481546 -------------- ************************************* p = 3; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226.1217794001714521 -------------- Searches starting with [3,139]-exponents: u = 4, v = 2 n_start has 7 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10007 non-negative rho_i D1(3,139) = 1.737274125739319180 D2(3,139) = 0.05873288893376319770 C1(3,139) = 1.811698339778164200 C2(3,139) = 1.292086004789689580 C3(3,139) = 1.185762814916955341 C4(3,139) = 1112 Sum = 6580.979702646501055 Averaged sum = 0.6576376239279005751 logp*logq = 5.421073701049838131 -------------- ************************************* p = 3; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 244.0558038742678546 -------------- Searches starting with [3,149]-exponents: u = 9, v = 1 n_start has 7 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10006 non-negative rho_i D1(3,149) = 1.281043860431663682 D2(3,149) = 0.08048875323137793480 C1(3,149) = 1.313488325063700983 C2(3,149) = 3.339482308795849434 C3(3,149) = 1.131484767261928173 C4(3,149) = 1192 Sum = 5481.882456329876607 Averaged sum = 0.5478595299150386375 logp*logq = 5.497396903547073892 -------------- ************************************* p = 3; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247.6571387075899927 -------------- Searches starting with [3,151]-exponents: u = 9, v = 1 n_start has 7 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10006 non-negative rho_i D1(3,151) = 0.9497495604427751235 D2(3,151) = 0.06715188704618269289 C1(3,151) = 0.9679044850829602340 C2(3,151) = 3.332280062387414672 C3(3,151) = 1.095301112622677926 C4(3,151) = 1208 Sum = 6215.446817694921090 Averaged sum = 0.6211719785823427033 logp*logq = 5.512045284411603933 -------------- ************************************* p = 3; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 258.4891645103752722 -------------- Searches starting with [3,157]-exponents: u = 9, v = 1 n_start has 7 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10006 non-negative rho_i D1(3,157) = 1.339207797667697624 D2(3,157) = 0.02931498781920877562 C1(3,157) = 1.379376771176924070 C2(3,157) = 3.312371002644650120 C3(3,157) = 1.138517968258995544 C4(3,157) = 1256 Sum = 6525.191282540422984 Averaged sum = 0.6521278515431164285 logp*logq = 5.554853776282234177 -------------- ************************************* p = 3; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269.3620986348017273 -------------- Searches starting with [3,163]-exponents: u = 9, v = 1 n_start has 7 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(3,163) = 1.540270045396371643 D2(3,163) = 0.2418199664343609928 C1(3,163) = 1.577112740175852905 C2(3,163) = 2.679031643743759212 C3(3,163) = 1.159888670864846010 C4(3,163) = 1304 Sum = 5297.486004870128048 Averaged sum = 0.5292722554571014135 logp*logq = 5.596056566011960489 -------------- ************************************* p = 3; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 276.6327725184931726 -------------- Searches starting with [3,167]-exponents: u = 9, v = 1 n_start has 7 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(3,167) = 1.323096547945499418 D2(3,167) = 0.1623489699270729569 C1(3,167) = 1.370278545681279371 C2(3,167) = 1.497941539424651864 C3(3,167) = 1.137544191150119605 C4(3,167) = 1336 Sum = 6343.160416121852417 Averaged sum = 0.6337456705087273871 logp*logq = 5.622690895648395405 -------------- ************************************* p = 3; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287.5709098565519954 -------------- Searches starting with [3,173]-exponents: u = 14, v = 1 n_start has 9 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(3,173) = 0.9127234527165879294 D2(3,173) = 0.2088475044692815245 C1(3,173) = 0.9452500890194538243 C2(3,173) = 1.878326235119985362 C3(3,173) = 1.092969951911019279 C4(3,173) = 1384 Sum = 6615.252910206597217 Averaged sum = 0.6609304536124085540 logp*logq = 5.661469472805337197 -------------- ************************************* p = 3; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 298.5465276944647128 -------------- Searches starting with [3,179]-exponents: u = 14, v = 1 n_start has 9 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(3,179) = 1.034898874440646988 D2(3,179) = 0.1750478319435931868 C1(3,179) = 1.056807442187097422 C2(3,179) = 2.907968117944865825 C3(3,179) = 1.104497459949834548 C4(3,179) = 1432 Sum = 5908.404048679582395 Averaged sum = 0.5903091266539696668 logp*logq = 5.698925792359178340 -------------- ************************************* p = 3; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 302.2131977594769833 -------------- Searches starting with [3,181]-exponents: u = 14, v = 1 n_start has 9 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(3,181) = 0.9094826313555699053 D2(3,181) = 0.1537511555807597194 C1(3,181) = 0.9257197552779268647 C2(3,181) = 2.890850169369870848 C3(3,181) = 1.090964243186231825 C4(3,181) = 1448 Sum = 6668.603961154219134 Averaged sum = 0.6662607614301347920 logp*logq = 5.711132721153322607 -------------- ************************************* p = 3; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 320.6057360090023269 -------------- Searches starting with [3,191]-exponents: u = 19, v = 1 n_start has 12 digits starting right neighbors generation We generated 61 left neighbors We generated 9949 right neighbors We generated 10009 non-negative rho_i D1(3,191) = 1.380272171767149601 D2(3,191) = 0.05960724148820465078 C1(3,191) = 1.402442966763234653 C2(3,191) = 2.816930570324577427 C3(3,191) = 1.140990465273865726 C4(3,191) = 1528 Sum = 6306.200459130485642 Averaged sum = 0.6300529982146553743 logp*logq = 5.770212131497006195 -------------- ************************************* p = 3; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 324.2958164502025646 -------------- Searches starting with [3,193]-exponents: u = 19, v = 1 n_start has 12 digits starting right neighbors generation We generated 61 left neighbors We generated 9949 right neighbors We generated 10009 non-negative rho_i D1(3,193) = 1.183671228713623426 D2(3,193) = 0.04279436780696571811 C1(3,193) = 1.203222863451155789 C2(3,193) = 2.804035249063744380 C3(3,193) = 1.119811644316148700 C4(3,193) = 1544 Sum = 6499.781357673006085 Averaged sum = 0.6493936814539920157 logp*logq = 5.781656112984002848 -------------- ************************************* p = 3; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 331.6872609663776254 -------------- Searches starting with [3,197]-exponents: u = 24, v = 1 n_start has 14 digits starting right neighbors generation We generated 91 left neighbors We generated 9919 right neighbors We generated 10009 non-negative rho_i D1(3,197) = 0.9281528806445025780 D2(3,197) = 0.01079604493927081906 C1(3,197) = 0.9470674254379989172 C2(3,197) = 2.779751691728040589 C3(3,197) = 1.093156774521024945 C4(3,197) = 1576 Sum = 6171.542487669171921 Averaged sum = 0.6165993093884675713 logp*logq = 5.804192539928732519 -------------- ************************************* p = 3; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 335.3885559177357143 -------------- Searches starting with [3,199]-exponents: u = 24, v = 1 n_start has 14 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(3,199) = 2.270523689398835177 D2(3,199) = 0.1455640428468872186 C1(3,199) = 2.324307621644310244 C2(3,199) = 2.615976179998622066 C3(3,199) = 1.244328569118931406 C4(3,199) = 1592 Sum = 7590.650317477358245 Averaged sum = 0.7583824875089777445 logp*logq = 5.815289728108521813 -------------- ************************************* p = 3; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 357.6722672993222850 -------------- Searches starting with [3,211]-exponents: u = 34, v = 1 n_start has 19 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(3,211) = 0.9203802958125637676 D2(3,211) = 0.01227205837238043591 C1(3,211) = 0.9440121841256636474 C2(3,211) = 2.502303859272405518 C3(3,211) = 1.092842713279334170 C4(3,211) = 1688 Sum = 6699.179638070738739 Averaged sum = 0.6693155797852671335 logp*logq = 5.879617112645179092 -------------- ************************************* p = 3; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 380.0813676012735959 -------------- Searches starting with [3,223]-exponents: u = 59, v = 1 n_start has 31 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(3,223) = 0.9493725863480456898 D2(3,223) = 0.01417171237171191845 C1(3,223) = 0.9648937468553229752 C2(3,223) = 2.199245249005855199 C3(3,223) = 1.094991018303952832 C4(3,223) = 1784 Sum = 6599.992292074120578 Averaged sum = 0.6594057640197942429 logp*logq = 5.940385355065398034 -------------- ************************************* p = 3; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 387.5778588268871371 -------------- Searches starting with [3,227]-exponents: u = 79, v = 1 n_start has 41 digits starting right neighbors generation We generated 665 left neighbors We generated 9345 right neighbors We generated 10009 non-negative rho_i D1(3,227) = 1.058641496327510310 D2(3,227) = 0.001787241376203076137 C1(3,227) = 1.081427655200714404 C2(3,227) = 2.091823669160548541 C3(3,227) = 1.107057862154666520 C4(3,227) = 1816 Sum = 5153.985671495157793 Averaged sum = 0.5149351255365328997 logp*logq = 5.959916754615345472 -------------- ************************************* p = 3; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 391.3310067035502704 -------------- Searches starting with [3,229]-exponents: u = 89, v = 1 n_start has 45 digits starting right neighbors generation We generated 816 left neighbors We generated 9194 right neighbors We generated 10009 non-negative rho_i D1(3,229) = 1.206160665462852426 D2(3,229) = 0.005338452885676948741 C1(3,229) = 1.227935709491258423 C2(3,229) = 2.018709424078763209 C3(3,229) = 1.122417325639868636 C4(3,229) = 1832 Sum = 7203.020598645354534 Averaged sum = 0.7196543709306978253 logp*logq = 5.969553766310989684 -------------- ************************************* p = 3; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 398.8469786160211445 -------------- Searches starting with [3,233]-exponents: u = 129, v = 1 n_start has 64 digits starting right neighbors generation We generated 1624 left neighbors We generated 8386 right neighbors We generated 10009 non-negative rho_i D1(3,233) = 1.031632700480973512 D2(3,233) = 0.007319971083811707381 C1(3,233) = 1.051597013155163672 C2(3,233) = 1.860137519520332103 C3(3,233) = 1.103956356166342659 C4(3,233) = 1864 Sum = 5818.351124988586657 Averaged sum = 0.5813119317602744187 logp*logq = 5.988577831089687675 -------------- ************************************* p = 3; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 410.1447542750113528 -------------- Searches starting with [3,239]-exponents: u = 329, v = 1 n_start has 160 digits --- performed 5000 steps in the continued fraction search [3,239]-exponents: u = 211, v = 7 --- starting right neighbors generation We generated 9789 left neighbors We generated 221 right neighbors We generated 10009 non-negative rho_i D1(3,239) = 0.9776250351765799245 D2(3,239) = 0.003852573084980887038 C1(3,239) = 0.9934881467492544929 C2(3,239) = 1.531508415507069335 C3(3,239) = 1.097939676304491863 C4(3,239) = 1912 Sum = 7257.548598639282234 Averaged sum = 0.7251022678228876245 logp*logq = 6.016510156594962127 -------------- ************************************* p = 3; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 413.9169343312009707 -------------- Searches starting with [3,241]-exponents: u = 659, v = 1 n_start has 317 digits --- performed 5000 steps in the continued fraction search [3,241]-exponents: u = 525, v = 20 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(3,241) = 0.7412072109821879429 D2(3,241) = 0.3030460435496663639 C1(3,241) = 0.7521494828200060428 C2(3,241) = 1.472031016383631621 C3(3,241) = 1.073300011158996676 C4(3,241) = 1928 Sum = 7312.785178657426061 Averaged sum = 0.7313516530310457106 logp*logq = 6.025665311981998298 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(3,241) = 0.7412072109821879429 D2(3,241) = 0.3030460435496663639 C1(3,241) = 0.7521494828200060428 C2(3,241) = 1.472031016383631621 C3(3,241) = 1.073300011158996676 C4(3,241) = 1928 Sum = 7312.785178657426061 Averaged sum = 0.7313516530310457106 logp*logq = 6.025665311981998298 -------------- ************************************* p = 3; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 432.8237059081462141 -------------- Searches starting with [3,251]-exponents: u = 5, v = 33 n_start has 82 digits starting right neighbors generation We generated 2554 left neighbors We generated 7456 right neighbors We generated 10009 non-negative rho_i D1(3,251) = 1.129490132087263638 D2(3,251) = 0.007267858509920747499 C1(3,251) = 1.150150000643416339 C2(3,251) = 1.762097485009950668 C3(3,251) = 1.114236156810384139 C4(3,251) = 2008 Sum = 7339.337522260221936 Averaged sum = 0.7332738058008014723 logp*logq = 6.070330499387502487 -------------- ************************************* p = 3; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 444.2036718433965210 -------------- Searches starting with [3,257]-exponents: u = 5, v = 19 n_start has 49 digits starting right neighbors generation We generated 890 left neighbors We generated 9120 right neighbors We generated 10009 non-negative rho_i D1(3,257) = 0.8121058753737984447 D2(3,257) = 0.02243225492596655024 C1(3,257) = 0.8255121488630040701 C2(3,257) = 1.984769533965970734 C3(3,257) = 1.080730957035198259 C4(3,257) = 2056 Sum = 6740.402451030370946 Averaged sum = 0.6734341543641093961 logp*logq = 6.096283177620211174 -------------- ************************************* p = 3; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 455.6098695551220602 -------------- Searches starting with [3,263]-exponents: u = 5, v = 13 n_start has 34 digits starting right neighbors generation We generated 434 left neighbors We generated 9576 right neighbors We generated 10009 non-negative rho_i D1(3,263) = 1.088416216167777906 D2(3,263) = 0.03944664703509248978 C1(3,263) = 1.112430025232984152 C2(3,263) = 2.145564473971934781 C3(3,263) = 1.110290427224161158 C4(3,263) = 2104 Sum = 6456.409047430875414 Averaged sum = 0.6450603504277026090 logp*logq = 6.121636894102049647 -------------- ************************************* p = 3; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 467.0417589114888230 -------------- Searches starting with [3,269]-exponents: u = 5, v = 10 n_start has 27 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(3,269) = 0.9680411949421045443 D2(3,269) = 0.0006906854465719338951 C1(3,269) = 0.9842502201217134023 C2(3,269) = 2.335101292096100633 C3(3,269) = 1.096986192960340785 C4(3,269) = 2152 Sum = 6517.747332828188221 Averaged sum = 0.6511886634856817085 logp*logq = 6.146418673181893883 -------------- ************************************* p = 3; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 470.8580079276472258 -------------- Searches starting with [3,271]-exponents: u = 5, v = 10 n_start has 27 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(3,271) = 1.197171495253114422 D2(3,271) = 0.01900719674898467788 C1(3,271) = 1.225808443523111294 C2(3,271) = 2.354885153968241629 C3(3,271) = 1.122192791967385031 C4(3,271) = 2168 Sum = 5069.864454344285522 Averaged sum = 0.5065305679232975844 logp*logq = 6.154556579197340255 -------------- ************************************* p = 3; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 482.3233520395874898 -------------- Searches starting with [3,277]-exponents: u = 5, v = 8 n_start has 22 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(3,277) = 0.9049139636993069079 D2(3,277) = 0.07674638380254248524 C1(3,277) = 0.9207603476894798634 C2(3,277) = 2.416961589426981705 C3(3,277) = 1.090455512647269285 C4(3,277) = 2216 Sum = 6692.614136649883542 Averaged sum = 0.6686596200069820703 logp*logq = 6.178614743981986706 -------------- ************************************* p = 3; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 489.9805652677798684 -------------- Searches starting with [3,281]-exponents: u = 5, v = 7 n_start has 20 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(3,281) = 0.9054718502786585564 D2(3,281) = 0.02019620115253111772 C1(3,281) = 0.9250771926124154554 C2(3,281) = 2.543049649929569263 C3(3,281) = 1.090898316438650694 C4(3,281) = 2248 Sum = 6391.688853771751810 Averaged sum = 0.6385941506415977430 logp*logq = 6.194365727599269268 -------------- ************************************* p = 3; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 493.8132141971723056 -------------- Searches starting with [3,283]-exponents: u = 5, v = 7 n_start has 20 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(3,283) = 0.9325351824200845426 D2(3,283) = 0.03470443799601295348 C1(3,283) = 0.9570146593764629597 C2(3,283) = 2.559052753298760036 C3(3,283) = 1.094179918401820229 C4(3,283) = 2264 Sum = 6715.737979996387148 Averaged sum = 0.6709699250670783443 logp*logq = 6.202157336774116879 -------------- ************************************* p = 3; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 513.0162032846450324 -------------- Searches starting with [3,293]-exponents: u = 5, v = 5 n_start has 15 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(3,293) = 1.053099857368947517 D2(3,293) = 0.1111246616901107408 C1(3,293) = 1.081941477314311965 C2(3,293) = 2.642790079479851126 C3(3,293) = 1.107111360749304280 C4(3,293) = 2344 Sum = 6675.496816310286823 Averaged sum = 0.6669494271465967452 logp*logq = 6.240307430022148113 -------------- ************************************* p = 3; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 540.0087325576282544 -------------- Searches starting with [3,307]-exponents: u = 5, v = 4 n_start has 13 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(3,307) = 1.126061591743839620 D2(3,307) = 0.04644475004918772036 C1(3,307) = 1.145312396271268610 C2(3,307) = 2.871685844151597619 C3(3,307) = 1.113729332342935228 C4(3,307) = 2456 Sum = 6614.536672334130549 Averaged sum = 0.6608588942286073083 logp*logq = 6.291585310830579626 -------------- ************************************* p = 3; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 547.7434540183475677 -------------- Searches starting with [3,311]-exponents: u = 5, v = 4 n_start has 13 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(3,311) = 0.9495184148146635133 D2(3,311) = 0.06673203449435807544 C1(3,311) = 0.9727123682505545851 C2(3,311) = 2.894987386919664859 C3(3,311) = 1.095796487975044752 C4(3,311) = 2488 Sum = 6554.333786237412538 Averaged sum = 0.6548440190066352821 logp*logq = 6.305807027730222749 -------------- ************************************* p = 3; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 551.6145030741776215 -------------- Searches starting with [3,313]-exponents: u = 5, v = 4 n_start has 13 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(3,313) = 1.228005878128103532 D2(3,313) = 0.07700351841201501074 C1(3,313) = 1.255377107917360767 C2(3,313) = 2.906751183567408052 C3(3,313) = 1.125317805836532042 C4(3,313) = 2504 Sum = 6330.913672605537533 Averaged sum = 0.6325220973729181269 logp*logq = 6.312849438311311722 -------------- ************************************* p = 3; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 559.3639071359963395 -------------- Searches starting with [3,317]-exponents: u = 5, v = 4 n_start has 13 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(3,317) = 1.060740012435119639 D2(3,317) = 0.09782636447068468145 C1(3,317) = 1.093523618298018280 C2(3,317) = 2.930529655997175433 C3(3,317) = 1.108317966740417105 C4(3,317) = 2536 Sum = 6583.382343558395934 Averaged sum = 0.6577462627193921404 logp*logq = 6.326800258014155974 -------------- ************************************* p = 3; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 586.5621015572982126 -------------- Searches starting with [3,331]-exponents: u = 5, v = 3 n_start has 10 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10009 non-negative rho_i D1(3,331) = 1.161731034917136130 D2(3,331) = 0.1742396619945342375 C1(3,331) = 1.183029365777162588 C2(3,331) = 3.016995726595070899 C3(3,331) = 1.117686967077769246 C4(3,331) = 2648 Sum = 6448.984234841928642 Averaged sum = 0.6443185368010718994 logp*logq = 6.374278547496289453 -------------- ************************************* p = 3; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 598.2535306211551861 -------------- Searches starting with [3,337]-exponents: u = 5, v = 3 n_start has 10 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10009 non-negative rho_i D1(3,337) = 0.8985127800038837717 D2(3,337) = 0.2090794197673469143 C1(3,337) = 0.9197990092659886681 C2(3,337) = 3.056011566286606177 C3(3,337) = 1.090356927068807954 C4(3,337) = 2696 Sum = 6516.148258267013818 Averaged sum = 0.6510288998168662022 logp*logq = 6.394014628352606570 -------------- ************************************* p = 3; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 617.7847424905548711 -------------- Searches starting with [3,347]-exponents: u = 5, v = 3 n_start has 11 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10009 non-negative rho_i D1(3,347) = 1.220812010652920708 D2(3,347) = 0.1587938594290592883 C1(3,347) = 1.262248043407178318 C2(3,347) = 1.642337047451811048 C3(3,347) = 1.126045217327733337 C4(3,347) = 2776 Sum = 7335.560348591565738 Averaged sum = 0.7328964280738900727 logp*logq = 6.426140083660506070 -------------- ************************************* p = 3; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 621.6977018851648128 -------------- Searches starting with [3,349]-exponents: u = 5, v = 3 n_start has 11 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10009 non-negative rho_i D1(3,349) = 1.524565028911877548 D2(3,349) = 0.1331435188472574166 C1(3,349) = 1.576292522335773546 C2(3,349) = 1.406528986228489983 C3(3,349) = 1.159799200844635631 C4(3,349) = 2792 Sum = 6452.362324451819642 Averaged sum = 0.6446560420073753264 logp*logq = 6.432453964767196800 -------------- ************************************* p = 3; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 629.5302450171943099 -------------- Searches starting with [3,353]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(3,353) = 1.333928837713104414 D2(3,353) = 0.1510707855920303321 C1(3,353) = 1.379176482405549421 C2(3,353) = 1.540989133741986449 C3(3,353) = 1.138496522512420678 C4(3,353) = 2824 Sum = 6258.782409414209799 Averaged sum = 0.6253154570300938954 logp*logq = 6.444973898425847588 -------------- ************************************* p = 3; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 641.2954519387294159 -------------- Searches starting with [3,359]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(3,359) = 0.9043423964525238887 D2(3,359) = 0.2167078319542966192 C1(3,359) = 0.9350182183390575380 C2(3,359) = 1.973641106367345018 C3(3,359) = 1.091918708970266880 C4(3,359) = 2872 Sum = 6282.156341444581368 Averaged sum = 0.6276507484708343858 logp*logq = 6.463490274189437619 -------------- ************************************* p = 3; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 657.0125335902630510 -------------- Searches starting with [3,367]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10007 non-negative rho_i D1(3,367) = 1.546976690431251184 D2(3,367) = 0.005882031631359294427 C1(3,367) = 1.585658438977858804 C2(3,367) = 3.429712881584870262 C3(3,367) = 1.160821253212244103 C4(3,367) = 2936 Sum = 5886.620196089960311 Averaged sum = 0.5882502444378895084 logp*logq = 6.487703095304569277 -------------- ************************************* p = 3; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 668.8225779736602829 -------------- Searches starting with [3,373]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10007 non-negative rho_i D1(3,373) = 0.8651619760154466423 D2(3,373) = 0.01998873615211911998 C1(3,373) = 0.8802350930798956920 C2(3,373) = 3.448460351725523471 C3(3,373) = 1.086307356273155973 C4(3,373) = 2984 Sum = 6395.922809259983226 Averaged sum = 0.6391448795103410839 logp*logq = 6.505518820132580268 -------------- ************************************* p = 3; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 680.6513717540460756 -------------- Searches starting with [3,379]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10007 non-negative rho_i D1(3,379) = 1.082729150779707230 D2(3,379) = 0.03408767348432453679 C1(3,379) = 1.113625195902096814 C2(3,379) = 3.467123439154770105 C3(3,379) = 1.110415234440964156 C4(3,379) = 3032 Sum = 6130.402618666325652 Averaged sum = 0.6126114338629285153 logp*logq = 6.523050239315367120 -------------- ************************************* p = 3; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 688.5475180355294663 -------------- Searches starting with [3,383]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10007 non-negative rho_i D1(3,383) = 0.8766273775216372898 D2(3,383) = 0.04348668828484407150 C1(3,383) = 0.8929329337898920364 C2(3,383) = 3.479523873578654349 C3(3,383) = 1.087605404139217649 C4(3,383) = 3064 Sum = 6268.502388603823648 Averaged sum = 0.6264117506349379083 logp*logq = 6.534584332541744558 -------------- ************************************* p = 3; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 700.4069696694307315 -------------- Searches starting with [3,389]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10007 non-negative rho_i D1(3,389) = 1.638166045732762719 D2(3,389) = 0.05759086282270488908 C1(3,389) = 1.680520561860773033 C2(3,389) = 3.498069903393987506 C3(3,389) = 1.171223944120863934 C4(3,389) = 3112 Sum = 6009.671502014057762 Averaged sum = 0.6005467674641808496 logp*logq = 6.551661551346524636 -------------- ************************************* p = 3; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 716.2476109814332112 -------------- Searches starting with [3,397]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10007 non-negative rho_i D1(3,397) = 1.464282911880927185 D2(3,397) = 0.07641978750623779872 C1(3,397) = 1.489117577364130745 C2(3,397) = 3.522712287630772985 C3(3,397) = 1.150329327614122945 C4(3,397) = 3176 Sum = 7074.390237195758453 Averaged sum = 0.7069441628056119169 logp*logq = 6.574025932569890294 -------------- ************************************* p = 3; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 724.1797838843860695 -------------- Searches starting with [3,401]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10007 non-negative rho_i D1(3,401) = 0.9730853926994526606 D2(3,401) = 0.08584979161118296613 C1(3,401) = 0.9954373383840771410 C2(3,401) = 3.535003737134499568 C3(3,401) = 1.098140966023764996 C4(3,401) = 3208 Sum = 6152.729084058849812 Averaged sum = 0.6148425186428349966 logp*logq = 6.585039681841639370 -------------- ************************************* p = 3; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 740.0674798137676219 -------------- Searches starting with [3,409]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10006 non-negative rho_i D1(3,409) = 1.138063695776793734 D2(3,409) = 0.07971322323539451249 C1(3,409) = 1.182788336026463025 C2(3,409) = 1.772644755203068701 C3(3,409) = 1.117661631274133568 C4(3,409) = 3272 Sum = 5238.298935275050935 Averaged sum = 0.5235157840570708509 logp*logq = 6.606741370978280829 -------------- ************************************* p = 3; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 759.9701757060150700 -------------- Searches starting with [3,419]-exponents: u = 5, v = 2 n_start has 8 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10006 non-negative rho_i D1(3,419) = 1.889360155407546789 D2(3,419) = 0.04887112894723295289 C1(3,419) = 1.963485745567918903 C2(3,419) = 1.278660210929327569 C3(3,419) = 1.202811302517865539 C4(3,419) = 3352 Sum = 6402.019295264354602 Averaged sum = 0.6398180387032135321 logp*logq = 6.633279190018284592 -------------- ************************************* p = 3; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 763.9563751848757616 -------------- Searches starting with [3,421]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,421) = 3.026329289710934615 D2(3,421) = 0.03821254190332842592 C1(3,421) = 3.145024921909227742 C2(3,421) = 1.031275856988208574 C3(3,421) = 1.344178118150910702 C4(3,421) = 3368 Sum = 4076.066560799936345 Averaged sum = 0.4073622387367515836 logp*logq = 6.638510686992866072 -------------- ************************************* p = 3; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 783.9152320950412689 -------------- Searches starting with [3,431]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,431) = 1.213346769126280371 D2(3,431) = 0.07420559494574387472 C1(3,431) = 1.260935431181940710 C2(3,431) = 1.712204066259629271 C3(3,431) = 1.125906217507903193 C4(3,431) = 3448 Sum = 5520.993934442561588 Averaged sum = 0.5517683324447892852 logp*logq = 6.664300892177014118 -------------- ************************************* p = 3; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 787.9125206286356846 -------------- Searches starting with [3,433]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,433) = 1.139980532428637153 D2(3,433) = 0.07941669785453171616 C1(3,433) = 1.184691698014748352 C2(3,433) = 1.781039448968389902 C3(3,433) = 1.117861718504987968 C4(3,433) = 3464 Sum = 5215.249601813724293 Averaged sum = 0.5212122328416674288 logp*logq = 6.669387069264655750 -------------- ************************************* p = 3; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 799.9152828302264567 -------------- Searches starting with [3,439]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,439) = 1.473841009188282827 D2(3,439) = 0.08968698638056568819 C1(3,439) = 1.506252283252622682 C2(3,439) = 3.496108088480153657 C3(3,439) = 1.152184556897804894 C4(3,439) = 3512 Sum = 5005.347775367564853 Averaged sum = 0.5002346367547036630 logp*logq = 6.684505825598284138 -------------- ************************************* p = 3; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 807.9261301241672033 -------------- Searches starting with [3,443]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,443) = 1.014909564839861843 D2(3,443) = 0.08125736533022515421 C1(3,443) = 1.038128482022521048 C2(3,443) = 3.491463092472705736 C3(3,443) = 1.102558875273030131 C4(3,443) = 3544 Sum = 6076.200635672680729 Averaged sum = 0.6072557101411833629 logp*logq = 6.694470631228093345 -------------- ************************************* p = 3; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 819.9557633353169224 -------------- Searches starting with [3,449]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,449) = 1.284362432914689869 D2(3,449) = 0.06892389448980466862 C1(3,449) = 1.307406562351133207 C2(3,449) = 3.484742962574664668 C3(3,449) = 1.130837769535797432 C4(3,449) = 3592 Sum = 7254.010558369360919 Averaged sum = 0.7249660761912213590 logp*logq = 6.709250391651046320 -------------- ************************************* p = 3; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 836.0199173964830546 -------------- Searches starting with [3,457]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,457) = 1.043684211322578077 D2(3,457) = 0.05302665553234211019 C1(3,457) = 1.061837226318910576 C2(3,457) = 3.476214604767115506 C3(3,457) = 1.105020055322166998 C4(3,457) = 3656 Sum = 6338.756448438529768 Averaged sum = 0.6334955475153437705 logp*logq = 6.728652437437840921 -------------- ************************************* p = 3; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 844.0624302315846687 -------------- Searches starting with [3,461]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,461) = 1.180033349386149342 D2(3,461) = 0.04529954488140511301 C1(3,461) = 1.206428100017351255 C2(3,461) = 3.472123700573787806 C3(3,461) = 1.120149257420967821 C4(3,461) = 3688 Sum = 5845.516496351966072 Averaged sum = 0.5842011289578219140 logp*logq = 6.738226461329053079 -------------- ************************************* p = 3; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 848.0862716977701592 -------------- Searches starting with [3,463]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,463) = 0.8568347088104814971 D2(3,463) = 0.04148899739007496205 C1(3,463) = 0.8713567389278900885 C2(3,463) = 3.470119441835464676 C3(3,463) = 1.085400679165570177 C4(3,463) = 3704 Sum = 6514.168816369471451 Averaged sum = 0.6510262658774206926 logp*logq = 6.742982366109852293 -------------- ************************************* p = 3; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 856.1390912120264380 -------------- Searches starting with [3,467]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,467) = 1.205734668500337423 D2(3,467) = 0.03397073902529935864 C1(3,467) = 1.226999004883085548 C2(3,467) = 3.466190470552863967 C3(3,467) = 1.122318450603209873 C4(3,467) = 3736 Sum = 6304.180719383707993 Averaged sum = 0.6300400479096250243 logp*logq = 6.752432852675390965 -------------- ************************************* p = 3; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 880.3381704850703989 -------------- Searches starting with [3,479]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10006 non-negative rho_i D1(3,479) = 1.094378714421643562 D2(3,479) = 0.01219612651715126573 C1(3,479) = 1.113974788786642835 C2(3,479) = 3.455002101571552029 C3(3,479) = 1.110451743774400809 C4(3,479) = 3832 Sum = 6850.828650171273404 Averaged sum = 0.6846720617800593048 logp*logq = 6.780306118295945444 -------------- ************************************* p = 3; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 896.5042297842339296 -------------- Searches starting with [3,487]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(3,487) = 0.8453239646610003405 D2(3,487) = 0.2219281588090397353 C1(3,487) = 0.8594690202198725108 C2(3,487) = 2.845648218313960445 C3(3,487) = 1.084187863979196443 C4(3,487) = 3896 Sum = 6503.407025633657356 Averaged sum = 0.6497559222333557154 logp*logq = 6.798503011142516817 -------------- ************************************* p = 3; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 904.5971123374714773 -------------- Searches starting with [3,491]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(3,491) = 0.9898839191507663919 D2(3,491) = 0.2297622220595818483 C1(3,491) = 1.008695992124813952 C2(3,491) = 2.855494869539908700 C3(3,491) = 1.099511144338155932 C4(3,491) = 3928 Sum = 6538.857380470857781 Averaged sum = 0.6532977700540371446 logp*logq = 6.807489664840407021 -------------- ************************************* p = 3; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 920.8023425544155128 -------------- Searches starting with [3,499]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(3,499) = 1.106042897588321746 D2(3,499) = 0.1751353038413823361 C1(3,499) = 1.142784546050954318 C2(3,499) = 1.784533608603134212 C3(3,499) = 1.113464587115059621 C4(3,499) = 3992 Sum = 6757.171524310471970 Averaged sum = 0.6751095538325978589 logp*logq = 6.825245401447025341 -------------- ************************************* p = 3; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 928.9145961490203481 -------------- Searches starting with [3,503]-exponents: u = 11, v = 1 n_start has 8 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(3,503) = 1.440906261695040807 D2(3,503) = 0.1377563475316626974 C1(3,503) = 1.488750035341033118 C2(3,503) = 1.485982493520513087 C3(3,503) = 1.150289565409480427 C4(3,503) = 4024 Sum = 6283.265493259619201 Averaged sum = 0.6277615639184353283 logp*logq = 6.834016803639620256 -------------- ************************************* p = 3; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 941.0948951136861285 -------------- Searches starting with [3,509]-exponents: u = 17, v = 1 n_start has 11 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(3,509) = 1.317217707515773648 D2(3,509) = 0.1442407083828267962 C1(3,509) = 1.360942428829118172 C2(3,509) = 1.573524900262096903 C3(3,509) = 1.136545818503194132 C4(3,509) = 4072 Sum = 6196.223927519778998 Averaged sum = 0.6190652340413406932 logp*logq = 6.847043979467590579 -------------- ************************************* p = 3; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 965.4978458152218855 -------------- Searches starting with [3,521]-exponents: u = 17, v = 1 n_start has 11 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(3,521) = 0.8789611541465773353 D2(3,521) = 0.2134167613416910661 C1(3,521) = 0.8944908966754239903 C2(3,521) = 2.150735884176207674 C3(3,521) = 1.087764775048389432 C4(3,521) = 4168 Sum = 6372.087516468484927 Averaged sum = 0.6366357794453476798 logp*logq = 6.872643870706289191 -------------- ************************************* p = 3; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 969.5704305846988336 -------------- Searches starting with [3,523]-exponents: u = 17, v = 1 n_start has 11 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(3,523) = 1.111199957025820111 D2(3,523) = 0.2123256379353236160 C1(3,523) = 1.130196691592056669 C2(3,523) = 3.121317713042388246 C3(3,523) = 1.112147180487801703 C4(3,523) = 4184 Sum = 6426.040013690394996 Averaged sum = 0.6420261778090113893 logp*logq = 6.876853118340841769 -------------- ************************************* p = 3; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1006.292191687960289 -------------- Searches starting with [3,541]-exponents: u = 17, v = 1 n_start has 11 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(3,541) = 0.9887830959092208089 D2(3,541) = 0.1490998352934802896 C1(3,541) = 1.011228154613688435 C2(3,541) = 3.069895923289187092 C3(3,541) = 1.099773017919926491 C4(3,541) = 4328 Sum = 5931.394800482683725 Averaged sum = 0.5926061345271938980 logp*logq = 6.914027757481537477 -------------- ************************************* p = 3; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1018.559779508274627 -------------- Searches starting with [3,547]-exponents: u = 17, v = 1 n_start has 11 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(3,547) = 0.9185763652124512476 D2(3,547) = 0.1299260570787633658 C1(3,547) = 0.9461461926869031143 C2(3,547) = 3.054569693720304564 C3(3,547) = 1.093062067587556604 C4(3,547) = 4376 Sum = 6340.298078336590224 Averaged sum = 0.6334596941089609575 logp*logq = 6.926144927619736058 -------------- ************************************* p = 3; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1039.035199205185583 -------------- Searches starting with [3,557]-exponents: u = 23, v = 1 n_start has 14 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(3,557) = 1.175872715756618840 D2(3,557) = 0.09972109816195261117 C1(3,557) = 1.211142522318161891 C2(3,557) = 3.030684488699818694 C3(3,557) = 1.120646020635451658 C4(3,557) = 4456 Sum = 6162.715583496315116 Averaged sum = 0.6157174126782211125 logp*logq = 6.946047868489949564 -------------- ************************************* p = 3; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1051.337904741184944 -------------- Searches starting with [3,563]-exponents: u = 23, v = 1 n_start has 14 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(3,563) = 1.356613200547636183 D2(3,563) = 0.08253913852179864655 C1(3,563) = 1.384440338912560114 C2(3,563) = 3.017240145609953527 C3(3,563) = 1.139060279610219121 C4(3,563) = 4504 Sum = 7321.005092387157886 Averaged sum = 0.7314422112485920557 logp*logq = 6.957818827045659932 -------------- ************************************* p = 3; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1063.653546591815390 -------------- Searches starting with [3,569]-exponents: u = 23, v = 1 n_start has 14 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(3,569) = 0.8976344323662304567 D2(3,569) = 0.06599253523437202826 C1(3,569) = 0.9139086351184026746 C2(3,569) = 3.004391536749888576 C3(3,569) = 1.089753061805855101 C4(3,569) = 4552 Sum = 6137.082685424591775 Averaged sum = 0.6131564277574774478 logp*logq = 6.969465002772369693 -------------- ************************************* p = 3; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1067.761613943477761 -------------- Searches starting with [3,571]-exponents: u = 23, v = 1 n_start has 14 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(3,571) = 1.635816000624639950 D2(3,571) = 0.06060944593692080901 C1(3,571) = 1.674752057941297228 C2(3,571) = 3.000232451775501948 C3(3,571) = 1.170588709583491015 C4(3,571) = 4568 Sum = 5787.549707378899836 Averaged sum = 0.5782345596342191863 logp*logq = 6.973319786687453323 -------------- ************************************* p = 3; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1080.094313261334644 -------------- Searches starting with [3,577]-exponents: u = 23, v = 1 n_start has 14 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(3,577) = 0.9702989073447687378 D2(3,577) = 0.04483383229923282092 C1(3,577) = 0.9865775270325442785 C2(3,577) = 2.988103291627919876 C3(3,577) = 1.097226325557812712 C4(3,577) = 4616 Sum = 6286.031736633814941 Averaged sum = 0.6280379395178154601 logp*logq = 6.984803643399305064 -------------- ************************************* p = 3; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1100.676871892110881 -------------- Searches starting with [3,587]-exponents: u = 29, v = 1 n_start has 17 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(3,587) = 1.204096523252603689 D2(3,587) = 0.01969636688169532509 C1(3,587) = 1.237726672776229705 C2(3,587) = 2.968959803131124963 C3(3,587) = 1.123451344644343768 C4(3,587) = 4696 Sum = 6112.442825751279308 Averaged sum = 0.6106946573834827963 logp*logq = 7.003680607627348671 -------------- ************************************* p = 3; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1113.043052783588436 -------------- Searches starting with [3,593]-exponents: u = 29, v = 1 n_start has 17 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(3,593) = 1.047332881408662069 D2(3,593) = 0.005247855181700553354 C1(3,593) = 1.069064571680451345 C2(3,593) = 2.958058856318676940 C3(3,593) = 1.105771410603728134 C4(3,593) = 4744 Sum = 5471.365367440379504 Averaged sum = 0.5466445566430591971 logp*logq = 7.014853032273686326 -------------- ************************************* p = 3; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1125.421578556368806 -------------- Searches starting with [3,599]-exponents: u = 29, v = 1 n_start has 17 digits starting right neighbors generation We generated 92 left neighbors We generated 9918 right neighbors We generated 10009 non-negative rho_i D1(3,599) = 0.9707568536656184357 D2(3,599) = 0.1284401264496429495 C1(3,599) = 0.9886804302173379263 C2(3,599) = 2.789182018262211091 C3(3,599) = 1.097443349282477101 C4(3,599) = 4792 Sum = 6333.130661551133900 Averaged sum = 0.6327435969178872915 logp*logq = 7.025912980936886550 -------------- ************************************* p = 3; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1129.550477784690311 -------------- Searches starting with [3,601]-exponents: u = 29, v = 1 n_start has 17 digits starting right neighbors generation We generated 92 left neighbors We generated 9918 right neighbors We generated 10009 non-negative rho_i D1(3,601) = 0.9166890587493769380 D2(3,601) = 0.1206323606502726860 C1(3,601) = 0.9354508358927631616 C2(3,601) = 2.782420796242045049 C3(3,601) = 1.091963136487896555 C4(3,601) = 4808 Sum = 5738.807480015733741 Averaged sum = 0.5733647197537949586 logp*logq = 7.029575025289897902 -------------- ************************************* p = 3; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1141.945290289328859 -------------- Searches starting with [3,607]-exponents: u = 29, v = 1 n_start has 17 digits starting right neighbors generation We generated 92 left neighbors We generated 9918 right neighbors We generated 10009 non-negative rho_i D1(3,607) = 2.264739961220644465 D2(3,607) = 0.09802228949103380855 C1(3,607) = 2.324648097007860850 C2(3,607) = 2.762929586919667433 C3(3,607) = 1.244368414362534865 C4(3,607) = 4856 Sum = 7674.909007968565430 Averaged sum = 0.7668007800947712489 logp*logq = 7.040488482141349523 -------------- ************************************* p = 3; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1154.352190724845876 -------------- Searches starting with [3,613]-exponents: u = 35, v = 1 n_start has 20 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(3,613) = 1.211137903423269226 D2(3,613) = 0.07652467344578682732 C1(3,613) = 1.235323944045635703 C2(3,613) = 2.744520154884608731 C3(3,613) = 1.123197505432825349 C4(3,613) = 4904 Sum = 6905.365780959298911 Averaged sum = 0.6899156540073233001 logp*logq = 7.051294591776026444 -------------- ************************************* p = 3; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1162.630120424432565 -------------- Searches starting with [3,617]-exponents: u = 35, v = 1 n_start has 20 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(3,617) = 0.8326390766312463302 D2(3,617) = 0.06275121554275091904 C1(3,617) = 0.8475190524946432081 C2(3,617) = 2.732788738931851668 C3(3,617) = 1.082970063837542898 C4(3,617) = 4936 Sum = 6264.114324601894680 Averaged sum = 0.6258481691079922749 logp*logq = 7.058440062745542062 -------------- ************************************* p = 3; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1166.771072387921692 -------------- Searches starting with [3,619]-exponents: u = 35, v = 1 n_start has 20 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(3,619) = 1.044189125297330821 D2(3,619) = 0.05602015569019616017 C1(3,619) = 1.061673141851965352 C2(3,619) = 2.727073740946848624 C3(3,619) = 1.105003003018885289 C4(3,619) = 4952 Sum = 6501.996457904780421 Averaged sum = 0.6496149922974103728 logp*logq = 7.061995445423567456 -------------- ************************************* p = 3; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1191.644362366658367 -------------- Searches starting with [3,631]-exponents: u = 41, v = 1 n_start has 23 digits starting right neighbors generation We generated 182 left neighbors We generated 9828 right neighbors We generated 10009 non-negative rho_i D1(3,631) = 0.8991821830828918643 D2(3,631) = 0.01760158991644899180 C1(3,631) = 0.9148218066282247324 C2(3,631) = 2.694683446952807305 C3(3,631) = 1.089846655775757773 C4(3,631) = 5048 Sum = 6514.530592840550917 Averaged sum = 0.6508672787331952160 logp*logq = 7.083089449389723212 -------------- ************************************* p = 3; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1212.407805715028437 -------------- Searches starting with [3,641]-exponents: u = 47, v = 1 n_start has 26 digits starting right neighbors generation We generated 213 left neighbors We generated 9797 right neighbors We generated 10009 non-negative rho_i D1(3,641) = 0.9731837989809055359 D2(3,641) = 0.06759696274604807260 C1(3,641) = 0.9930583787400643324 C2(3,641) = 2.560837435543747184 C3(3,641) = 1.097895299854613844 C4(3,641) = 5128 Sum = 5955.289324909473766 Averaged sum = 0.5949934383963906250 logp*logq = 7.100363583397027363 -------------- ************************************* p = 3; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1216.564344978211134 -------------- Searches starting with [3,643]-exponents: u = 47, v = 1 n_start has 26 digits starting right neighbors generation We generated 213 left neighbors We generated 9797 right neighbors We generated 10009 non-negative rho_i D1(3,643) = 1.286571475057968155 D2(3,643) = 0.05943887069410711162 C1(3,643) = 1.309282072765103549 C2(3,643) = 2.553588578133571408 C3(3,643) = 1.131037252979236254 C4(3,643) = 5144 Sum = 6700.207281044103503 Averaged sum = 0.6694182516779002401 logp*logq = 7.103786054353914047 -------------- ************************************* p = 3; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1224.881245283892509 -------------- Searches starting with [3,647]-exponents: u = 53, v = 1 n_start has 29 digits starting right neighbors generation We generated 273 left neighbors We generated 9737 right neighbors We generated 10009 non-negative rho_i D1(3,647) = 0.9690080104135831415 D2(3,647) = 0.04356166481212213911 C1(3,647) = 0.9852756229431343298 C2(3,647) = 2.539521387875618922 C3(3,647) = 1.097091988017866665 C4(3,647) = 5176 Sum = 6397.670880156015646 Averaged sum = 0.6391918153817579824 logp*logq = 7.110599175654193473 -------------- ************************************* p = 3; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1237.366097036351975 -------------- Searches starting with [3,653]-exponents: u = 53, v = 1 n_start has 29 digits starting right neighbors generation We generated 273 left neighbors We generated 9737 right neighbors We generated 10009 non-negative rho_i D1(3,653) = 1.450438016966619696 D2(3,653) = 0.02075339505987977155 C1(3,653) = 1.483892463754020006 C2(3,653) = 2.519407267259362095 C3(3,653) = 1.149764182477877723 C4(3,653) = 5224 Sum = 6908.430658205239881 Averaged sum = 0.6902218661409970907 logp*logq = 7.120740284173256208 -------------- ************************************* p = 3; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1249.862266408043012 -------------- Searches starting with [3,659]-exponents: u = 59, v = 1 n_start has 31 digits starting right neighbors generation We generated 310 left neighbors We generated 9700 right neighbors We generated 10009 non-negative rho_i D1(3,659) = 1.037974734006495259 D2(3,659) = 0.05787389895949099019 C1(3,659) = 1.061360955826647806 C2(3,659) = 2.425055786300115547 C3(3,659) = 1.104970560145655668 C4(3,659) = 5272 Sum = 5895.222418769882033 Averaged sum = 0.5889921489429395576 logp*logq = 7.130788637351761696 -------------- ************************************* p = 3; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1254.030155117382730 -------------- Searches starting with [3,661]-exponents: u = 65, v = 1 n_start has 34 digits starting right neighbors generation We generated 382 left neighbors We generated 9628 right neighbors We generated 10009 non-negative rho_i D1(3,661) = 0.8971062713628759865 D2(3,661) = 0.04861412765571802226 C1(3,661) = 0.9173178354818669652 C2(3,661) = 2.416633021503442848 C3(3,661) = 1.090102523049122165 C4(3,661) = 5288 Sum = 6166.941382953620002 Averaged sum = 0.6161396126439824160 logp*logq = 7.134117768046786525 -------------- ************************************* p = 3; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1279.063488892392993 -------------- Searches starting with [3,673]-exponents: u = 77, v = 1 n_start has 40 digits starting right neighbors generation We generated 509 left neighbors We generated 9501 right neighbors We generated 10009 non-negative rho_i D1(3,673) = 1.093170037243034531 D2(3,673) = 0.04074751954066916173 C1(3,673) = 1.110936093983886277 C2(3,673) = 2.311789554320205864 C3(3,673) = 1.110134441279864489 C4(3,673) = 5384 Sum = 6411.034292785557899 Averaged sum = 0.6405269550190386551 logp*logq = 7.153883439824868803 -------------- ************************************* p = 3; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1287.417758906919917 -------------- Searches starting with [3,677]-exponents: u = 83, v = 1 n_start has 43 digits starting right neighbors generation We generated 599 left neighbors We generated 9411 right neighbors We generated 10009 non-negative rho_i D1(3,677) = 0.9746215327102929827 D2(3,677) = 0.02078949819871388583 C1(3,677) = 0.9950427512243331528 C2(3,677) = 2.293398029721702699 C3(3,677) = 1.098100214697086594 C4(3,677) = 5416 Sum = 6247.122773902793845 Averaged sum = 0.6241505419025670741 logp*logq = 7.160393753920546196 -------------- ************************************* p = 3; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1299.958285234609827 -------------- Searches starting with [3,683]-exponents: u = 95, v = 1 n_start has 49 digits starting right neighbors generation We generated 756 left neighbors We generated 9254 right neighbors We generated 10009 non-negative rho_i D1(3,683) = 0.9894273227150911694 D2(3,683) = 0.02658685515648337378 C1(3,683) = 1.009590437271001673 C2(3,683) = 2.220473729590797696 C3(3,683) = 1.099603639790859526 C4(3,683) = 5464 Sum = 6480.524583559589071 Averaged sum = 0.6474697355939243751 logp*logq = 7.170087454653718836 -------------- ************************************* p = 3; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1316.695878813415529 -------------- Searches starting with [3,691]-exponents: u = 119, v = 1 n_start has 60 digits starting right neighbors generation We generated 1177 left neighbors We generated 8833 right neighbors We generated 10009 non-negative rho_i D1(3,691) = 1.083638847456770793 D2(3,691) = 0.01140698980629240172 C1(3,691) = 1.102178189050039391 C2(3,691) = 2.141681474854604979 C3(3,691) = 1.109220442264283949 C4(3,691) = 5528 Sum = 6677.163304142194064 Averaged sum = 0.6671159260807467343 logp*logq = 7.182880755421511185 -------------- ************************************* p = 3; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1337.644735389589350 -------------- Searches starting with [3,701]-exponents: u = 167, v = 1 n_start has 83 digits starting right neighbors generation We generated 2224 left neighbors We generated 7786 right neighbors We generated 10009 non-negative rho_i D1(3,701) = 1.195200205871208091 D2(3,701) = 0.01183136942568777150 C1(3,701) = 1.217163105212061261 C2(3,701) = 1.999595057714961041 C3(3,701) = 1.121280735576302996 C4(3,701) = 5608 Sum = 5903.846181035574533 Averaged sum = 0.5898537497288015319 logp*logq = 7.198665686290910576 -------------- ************************************* p = 3; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1354.425072439749187 -------------- Searches starting with [3,709]-exponents: u = 233, v = 1 n_start has 115 digits starting right neighbors generation We generated 4214 left neighbors We generated 5796 right neighbors We generated 10009 non-negative rho_i D1(3,709) = 0.7792885768079820912 D2(3,709) = 0.005122986599342681499 C1(3,709) = 0.7956310950658013706 C2(3,709) = 1.868969977284193517 C3(3,709) = 1.077698098351084006 C4(3,709) = 5672 Sum = 6382.139538950274207 Averaged sum = 0.6376400778249849343 logp*logq = 7.211132342490280788 -------------- ************************************* p = 3; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1375.426743347382089 -------------- Searches starting with [3,719]-exponents: u = 473, v = 1 n_start has 229 digits --- performed 5000 steps in the continued fraction search [3,719]-exponents: u = 153, v = 43 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(3,719) = 0.7832660366604964609 D2(3,719) = 0.1537137867133352002 C1(3,719) = 0.7952263107831380844 C2(3,719) = 1.619763927093254380 C3(3,719) = 1.077657072154254537 C4(3,719) = 5752 Sum = 6948.536452743747601 Averaged sum = 0.6949231375881335734 logp*logq = 7.226519320747438490 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(3,719) = 0.7832660366604964609 D2(3,719) = 0.1537137867133352002 C1(3,719) = 0.7952263107831380844 C2(3,719) = 1.619763927093254380 C3(3,719) = 1.077657072154254537 C4(3,719) = 5752 Sum = 6948.536452743747601 Averaged sum = 0.6949231375881335734 logp*logq = 7.226519320747438490 -------------- ************************************* p = 3; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1392.248851226079060 -------------- Searches starting with [3,727]-exponents: u = 2393, v = 1 n_start has 1145 digits --- performed 5000 steps in the continued fraction search [3,727]-exponents: u = 1037, v = 225 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(3,727) = 0.7628919083748913844 D2(3,727) = 0.5469206527192040950 C1(3,727) = 0.7721136990787166346 C2(3,727) = 1.648872081116234425 C3(3,727) = 1.075317122844812079 C4(3,727) = 5816 Sum = 7486.718887538127899 Averaged sum = 0.7487467634301558054 logp*logq = 7.238675597349005943 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(3,727) = 0.7628919083748913844 D2(3,727) = 0.5469206527192040950 C1(3,727) = 0.7721136990787166346 C2(3,727) = 1.648872081116234425 C3(3,727) = 1.075317122844812079 C4(3,727) = 5816 Sum = 7486.718887538127899 Averaged sum = 0.7487467634301558054 logp*logq = 7.238675597349005943 -------------- ************************************* p = 3; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1404.877428171535414 -------------- Searches starting with [3,733]-exponents: u = 6, v = 200 n_start has 576 digits --- performed 5000 steps in the continued fraction search [3,733]-exponents: u = 239, v = 157 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(3,733) = 0.7607856271761189713 D2(3,733) = 0.4214313103219183042 C1(3,733) = 0.7708760485145629156 C2(3,733) = 1.635201483952059116 C3(3,733) = 1.075191964993536699 C4(3,733) = 5864 Sum = 7251.459740545124491 Averaged sum = 0.7252184959041028594 logp*logq = 7.247705338226677092 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(3,733) = 0.7607856271761189713 D2(3,733) = 0.4214313103219183042 C1(3,733) = 0.7708760485145629156 C2(3,733) = 1.635201483952059116 C3(3,733) = 1.075191964993536699 C4(3,733) = 5864 Sum = 7251.459740545124491 Averaged sum = 0.7252184959041028594 logp*logq = 7.247705338226677092 -------------- ************************************* p = 3; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1417.516203061240423 -------------- Searches starting with [3,739]-exponents: u = 6, v = 80 n_start has 233 digits --- performed 5000 steps in the continued fraction search [3,739]-exponents: u = 300, v = 20 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(3,739) = 0.7564265320386759297 D2(3,739) = 0.1627753056862449473 C1(3,739) = 0.7679456366648829718 C2(3,739) = 1.623522827185511355 C3(3,739) = 1.074895684133790890 C4(3,739) = 5912 Sum = 6946.814283721054587 Averaged sum = 0.6947509034624517038 logp*logq = 7.256661466267610636 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(3,739) = 0.7564265320386759297 D2(3,739) = 0.1627753056862449473 C1(3,739) = 0.7679456366648829718 C2(3,739) = 1.623522827185511355 C3(3,739) = 1.074895684133790890 C4(3,739) = 5912 Sum = 6946.814283721054587 Averaged sum = 0.6947509034624517038 logp*logq = 7.256661466267610636 -------------- ************************************* p = 3; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1425.947681593536962 -------------- Searches starting with [3,743]-exponents: u = 6, v = 57 n_start has 167 digits --- performed 5000 steps in the continued fraction search [3,743]-exponents: u = 12, v = 39 --- starting right neighbors generation We generated 8806 left neighbors We generated 1204 right neighbors We generated 10009 non-negative rho_i D1(3,743) = 0.9012628195310876983 D2(3,743) = 0.005227122334213465826 C1(3,743) = 0.9157394666867243603 C2(3,743) = 1.737432564526628299 C3(3,743) = 1.089940717889596535 C4(3,743) = 5944 Sum = 6915.947339511542846 Averaged sum = 0.6909728583786135325 logp*logq = 7.262591911376597805 -------------- ************************************* p = 3; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1442.824049158985554 -------------- Searches starting with [3,751]-exponents: u = 6, v = 36 n_start has 107 digits starting right neighbors generation We generated 3625 left neighbors We generated 6385 right neighbors We generated 10009 non-negative rho_i D1(3,751) = 1.185666969783251703 D2(3,751) = 0.004726699736492252033 C1(3,751) = 1.206289470324764524 C2(3,751) = 1.901603882086394454 C3(3,751) = 1.120134653210177305 C4(3,751) = 6008 Sum = 7077.396440831367079 Averaged sum = 0.7071032511570953221 logp*logq = 7.274357617284552594 -------------- ************************************* p = 3; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1455.492974442906074 -------------- Searches starting with [3,757]-exponents: u = 6, v = 29 n_start has 87 digits starting right neighbors generation We generated 2424 left neighbors We generated 7586 right neighbors We generated 10009 non-negative rho_i D1(3,757) = 0.9848809456331524767 D2(3,757) = 0.004200611696968469760 C1(3,757) = 1.002815171322901232 C2(3,757) = 2.000703926580227641 C3(3,757) = 1.098903196587436611 C4(3,757) = 6056 Sum = 5914.618318964477262 Averaged sum = 0.5909299949010367930 logp*logq = 7.283099936271181302 -------------- ************************************* p = 3; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1463.944432347637655 -------------- Searches starting with [3,761]-exponents: u = 6, v = 25 n_start has 75 digits starting right neighbors generation We generated 1802 left neighbors We generated 8208 right neighbors We generated 10009 non-negative rho_i D1(3,761) = 0.8699428433117177955 D2(3,761) = 0.01143053195149058046 C1(3,761) = 0.8842212159087334774 C2(3,761) = 2.050081013521920492 C3(3,761) = 1.086714674246185464 C4(3,761) = 6088 Sum = 6517.967716422631667 Averaged sum = 0.6512106820284375729 logp*logq = 7.288889737754212309 -------------- ************************************* p = 3; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1480.860472896989480 -------------- Searches starting with [3,769]-exponents: u = 6, v = 20 n_start has 61 digits starting right neighbors generation We generated 1191 left neighbors We generated 8819 right neighbors We generated 10009 non-negative rho_i D1(3,769) = 0.8812543223106810884 D2(3,769) = 0.01086407176973466347 C1(3,769) = 0.8962867914204652379 C2(3,769) = 2.153614023265134657 C3(3,769) = 1.087948514034562296 C4(3,769) = 6152 Sum = 6514.082255115239924 Averaged sum = 0.6508224852747766934 logp*logq = 7.300378598416383432 -------------- ************************************* p = 3; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1489.325014430892530 -------------- Searches starting with [3,773]-exponents: u = 6, v = 18 n_start has 55 digits starting right neighbors generation We generated 991 left neighbors We generated 9019 right neighbors We generated 10009 non-negative rho_i D1(3,773) = 0.8678889793514775688 D2(3,773) = 0.002420757653519163398 C1(3,773) = 0.8850911375515014425 C2(3,773) = 2.211297223740478518 C3(3,773) = 1.086803586619215009 C4(3,773) = 6184 Sum = 6362.687701052940348 Averaged sum = 0.6356966431264802026 logp*logq = 7.306078285850206692 -------------- ************************************* p = 3; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1518.984802115574376 -------------- Searches starting with [3,787]-exponents: u = 6, v = 14 n_start has 44 digits starting right neighbors generation We generated 609 left neighbors We generated 9401 right neighbors We generated 10009 non-negative rho_i D1(3,787) = 0.9757440149811828156 D2(3,787) = 0.02901987326717136005 C1(3,787) = 0.9922354334389908761 C2(3,787) = 2.320325930042132537 C3(3,787) = 1.097810330199057466 C4(3,787) = 6296 Sum = 6424.021144156426810 Averaged sum = 0.6418244723904912388 logp*logq = 7.325797497355183655 -------------- ************************************* p = 3; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1540.202297702288364 -------------- Searches starting with [3,797]-exponents: u = 6, v = 12 n_start has 38 digits starting right neighbors generation We generated 469 left neighbors We generated 9541 right neighbors We generated 10009 non-negative rho_i D1(3,797) = 1.008254893555697576 D2(3,797) = 0.02255817074188655245 C1(3,797) = 1.025762726753218221 C2(3,797) = 2.415476480033319058 C3(3,797) = 1.101277375028908427 C4(3,797) = 6376 Sum = 6322.530470374191814 Averaged sum = 0.6316845309595555813 logp*logq = 7.339669048924766974 -------------- ************************************* p = 3; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1565.697941753430606 -------------- Searches starting with [3,809]-exponents: u = 6, v = 10 n_start has 32 digits starting right neighbors generation We generated 347 left neighbors We generated 9663 right neighbors We generated 10009 non-negative rho_i D1(3,809) = 0.9183183992658719391 D2(3,809) = 0.006388108660218595222 C1(3,809) = 0.9361186163058679341 C2(3,809) = 2.532122766923134218 C3(3,809) = 1.092031717526799406 C4(3,809) = 6472 Sum = 6148.859296708110916 Averaged sum = 0.6143330299438616161 logp*logq = 7.356086972731079933 -------------- ************************************* p = 3; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1569.950857731041515 -------------- Searches starting with [3,811]-exponents: u = 6, v = 10 n_start has 32 digits starting right neighbors generation We generated 347 left neighbors We generated 9663 right neighbors We generated 10009 non-negative rho_i D1(3,811) = 0.8908129832118156452 D2(3,811) = 0.01216559523276168912 C1(3,811) = 0.9067960181891091775 C2(3,811) = 2.538388471115872473 C3(3,811) = 1.089024341220336022 C4(3,811) = 6488 Sum = 6088.782362256059029 Averaged sum = 0.6083307385609010919 logp*logq = 7.358799597044219408 -------------- ************************************* p = 3; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1591.230907603502663 -------------- Searches starting with [3,821]-exponents: u = 6, v = 9 n_start has 30 digits starting right neighbors generation We generated 280 left neighbors We generated 9730 right neighbors We generated 10009 non-negative rho_i D1(3,821) = 1.054490938805034005 D2(3,821) = 0.04174887062475679178 C1(3,821) = 1.072786657225710378 C2(3,821) = 2.570394649272850078 C3(3,821) = 1.106158558132477735 C4(3,821) = 6568 Sum = 6263.387705582515116 Averaged sum = 0.6257755725429628451 logp*logq = 7.372263151435772120 -------------- ************************************* p = 3; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1595.489995666107156 -------------- Searches starting with [3,823]-exponents: u = 6, v = 9 n_start has 30 digits starting right neighbors generation We generated 280 left neighbors We generated 9730 right neighbors We generated 10009 non-negative rho_i D1(3,823) = 1.206542102760731653 D2(3,823) = 0.04781584268106801660 C1(3,823) = 1.234859183466123451 C2(3,823) = 2.576942606497988053 C3(3,823) = 1.123148411854081392 C4(3,823) = 6584 Sum = 4164.873049662983009 Averaged sum = 0.4161128034431994215 logp*logq = 7.374936175354613911 -------------- ************************************* p = 3; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1604.011231887145146 -------------- Searches starting with [3,827]-exponents: u = 6, v = 8 n_start has 27 digits starting right neighbors generation We generated 219 left neighbors We generated 9791 right neighbors We generated 10009 non-negative rho_i D1(3,827) = 0.9303827326119842039 D2(3,827) = 0.06011408561182856182 C1(3,827) = 0.9451592784336147211 C2(3,827) = 2.590199271236219079 C3(3,827) = 1.092960617399120284 C4(3,827) = 6616 Sum = 6027.092784616812481 Averaged sum = 0.6021673278666013069 logp*logq = 7.380262790825350151 -------------- ************************************* p = 3; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1608.273375594134500 -------------- Searches starting with [3,829]-exponents: u = 6, v = 8 n_start has 27 digits starting right neighbors generation We generated 219 left neighbors We generated 9791 right neighbors We generated 10009 non-negative rho_i D1(3,829) = 0.9332972222894194233 D2(3,829) = 0.06634919988714670007 C1(3,829) = 0.9521966974982353267 C2(3,829) = 2.596911833671542160 C3(3,829) = 1.093684237167220249 C4(3,829) = 6632 Sum = 5866.168069633419831 Averaged sum = 0.5860893265694294965 logp*logq = 7.382916444986745576 -------------- ************************************* p = 3; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1629.599261979248477 -------------- Searches starting with [3,839]-exponents: u = 6, v = 7 n_start has 24 digits starting right neighbors generation We generated 188 left neighbors We generated 9822 right neighbors We generated 10009 non-negative rho_i D1(3,839) = 0.9154936617309502428 D2(3,839) = 0.01002948257467595795 C1(3,839) = 0.9376170342115481472 C2(3,839) = 2.724572999958430324 C3(3,839) = 1.092185620700705846 C4(3,839) = 6712 Sum = 6116.510126787777447 Averaged sum = 0.6111010217591944697 logp*logq = 7.396089412027888993 -------------- ************************************* p = 3; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1659.497578759006656 -------------- Searches starting with [3,853]-exponents: u = 6, v = 6 n_start has 21 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(3,853) = 1.794672869509937198 D2(3,853) = 0.04193941162010704617 C1(3,853) = 1.839548196391850074 C2(3,853) = 2.759964410174352857 C3(3,853) = 1.188872657736014807 C4(3,853) = 6824 Sum = 6976.280057235072283 Averaged sum = 0.6970007050889271938 logp*logq = 7.414270172140589916 -------------- ************************************* p = 3; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1668.048881806538755 -------------- Searches starting with [3,857]-exponents: u = 6, v = 6 n_start has 21 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(3,857) = 0.9141643912232083387 D2(3,857) = 0.05127939853501567796 C1(3,857) = 0.9302575765283892770 C2(3,857) = 2.770288429507724415 C3(3,857) = 1.091429935795199504 C4(3,857) = 6856 Sum = 6490.265485329089115 Averaged sum = 0.6484429498780186946 logp*logq = 7.419409888128701930 -------------- ************************************* p = 3; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1672.326010666386058 -------------- Searches starting with [3,859]-exponents: u = 6, v = 6 n_start has 21 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(3,859) = 0.8696297423014349790 D2(3,859) = 0.05598975282632078233 C1(3,859) = 0.8866258784844288266 C2(3,859) = 2.775489048554328149 C3(3,859) = 1.086960466138849006 C4(3,859) = 6872 Sum = 5803.640239498065619 Averaged sum = 0.5798421660004061963 logp*logq = 7.421970757094010983 -------------- ************************************* p = 3; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1680.883212729329066 -------------- Searches starting with [3,863]-exponents: u = 6, v = 6 n_start has 21 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(3,863) = 1.257188753467506154 D2(3,863) = 0.06549468813656158832 C1(3,863) = 1.284171011641431352 C2(3,863) = 2.785971037839366111 C3(3,863) = 1.128369300927432223 C4(3,863) = 6904 Sum = 6125.258944488870845 Averaged sum = 0.6119751168437277296 logp*logq = 7.427074656116676547 -------------- ************************************* p = 3; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1710.864121494105514 -------------- Searches starting with [3,877]-exponents: u = 6, v = 5 n_start has 18 digits starting right neighbors generation We generated 96 left neighbors We generated 9914 right neighbors We generated 10009 non-negative rho_i D1(3,877) = 1.231313893369377410 D2(3,877) = 0.09972704927306293262 C1(3,877) = 1.263383965186891881 C2(3,877) = 2.823587157647720395 C3(3,877) = 1.126165520262935986 C4(3,877) = 7016 Sum = 5810.837827747796087 Averaged sum = 0.5805612776249171831 logp*logq = 7.444753856065452553 -------------- ************************************* p = 3; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1719.438800899180873 -------------- Searches starting with [3,881]-exponents: u = 6, v = 5 n_start has 18 digits starting right neighbors generation We generated 96 left neighbors We generated 9914 right neighbors We generated 10009 non-negative rho_i D1(3,881) = 1.321887515429421262 D2(3,881) = 0.1098113510215160227 C1(3,881) = 1.345853491162118602 C2(3,881) = 2.834628155059839723 C3(3,881) = 1.134934110850463220 C4(3,881) = 7048 Sum = 6433.427000920185293 Averaged sum = 0.6427642123009476764 logp*logq = 7.449753238020084629 -------------- ************************************* p = 3; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1723.727581584318157 -------------- Searches starting with [3,883]-exponents: u = 6, v = 5 n_start has 18 digits starting right neighbors generation We generated 96 left neighbors We generated 9914 right neighbors We generated 10009 non-negative rho_i D1(3,883) = 0.8506605335710175149 D2(3,883) = 0.1149087610416729960 C1(3,883) = 0.8668037069085349716 C2(3,883) = 2.840202256534206958 C3(3,883) = 1.084936007081697103 C4(3,883) = 7064 Sum = 6261.667983383225792 Averaged sum = 0.6256037549588596056 logp*logq = 7.452244423415580799 -------------- ************************************* p = 3; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1732.308015118725173 -------------- Searches starting with [3,887]-exponents: u = 6, v = 5 n_start has 18 digits starting right neighbors generation We generated 96 left neighbors We generated 9914 right neighbors We generated 10009 non-negative rho_i D1(3,887) = 1.568461439744515848 D2(3,887) = 0.1252192413204569505 C1(3,887) = 1.597085946728214221 C2(3,887) = 2.851462832150078765 C3(3,887) = 1.162069495926433448 C4(3,887) = 7096 Sum = 7750.442996997617895 Averaged sum = 0.7743473870514155155 logp*logq = 7.457209911139471665 -------------- ************************************* p = 3; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1775.267124525124519 -------------- Searches starting with [3,907]-exponents: u = 6, v = 5 n_start has 18 digits starting right neighbors generation We generated 114 left neighbors We generated 9896 right neighbors We generated 10009 non-negative rho_i D1(3,907) = 1.436866428015090756 D2(3,907) = 0.02168103486078254934 C1(3,907) = 1.476220508988152309 C2(3,907) = 3.034704220052516949 C3(3,907) = 1.148934891561652615 C4(3,907) = 7256 Sum = 4755.722436886948259 Averaged sum = 0.4751446135365119651 logp*logq = 7.481706183276838257 -------------- ************************************* p = 3; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1783.870228435485995 -------------- Searches starting with [3,911]-exponents: u = 6, v = 4 n_start has 15 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(3,911) = 1.174615209885360265 D2(3,911) = 0.02786883936823534187 C1(3,911) = 1.206784813962791222 C2(3,911) = 3.041913221339810132 C3(3,911) = 1.120186837010888258 C4(3,911) = 7288 Sum = 6117.589687042717556 Averaged sum = 0.6112088807116312874 logp*logq = 7.486540568585773894 -------------- ************************************* p = 3; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1801.087599064882702 -------------- Searches starting with [3,919]-exponents: u = 6, v = 4 n_start has 15 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(3,919) = 1.044729507571286659 D2(3,919) = 0.04033562775530925441 C1(3,919) = 1.065324987752529641 C2(3,919) = 3.056408717074437248 C3(3,919) = 1.105382579460935035 C4(3,919) = 7352 Sum = 6505.317896296460390 Averaged sum = 0.6499468374759177130 logp*logq = 7.496145983118532885 -------------- ************************************* p = 3; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1822.630092272911707 -------------- Searches starting with [3,929]-exponents: u = 6, v = 4 n_start has 15 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(3,929) = 1.012736973123811887 D2(3,929) = 0.05610197301862070279 C1(3,929) = 1.036399899675856939 C2(3,929) = 3.074685697003695833 C3(3,929) = 1.102379647491031221 C4(3,929) = 7432 Sum = 5890.929297795333368 Averaged sum = 0.5885632228789422887 logp*logq = 7.508035842554999820 -------------- ************************************* p = 3; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1839.880570815472079 -------------- Searches starting with [3,937]-exponents: u = 6, v = 4 n_start has 15 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(3,937) = 1.028574611749730019 D2(3,937) = 0.06887324267867046810 C1(3,937) = 1.046540172866030607 C2(3,937) = 3.089445654948617441 C3(3,937) = 1.103431456082291734 C4(3,937) = 7496 Sum = 6587.387358165791829 Averaged sum = 0.6581464040529315445 logp*logq = 7.517455941330965777 -------------- ************************************* p = 3; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1848.511265872151483 -------------- Searches starting with [3,941]-exponents: u = 6, v = 4 n_start has 15 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(3,941) = 0.8411635802494995110 D2(3,941) = 0.07531516820540358349 C1(3,941) = 0.8591657472124819535 C2(3,941) = 3.096875422765295369 C3(3,941) = 1.084156941032313856 C4(3,941) = 7528 Sum = 6067.602326665607935 Averaged sum = 0.6062146394910188765 logp*logq = 7.522135872960306360 -------------- ************************************* p = 3; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1861.464088994768895 -------------- Searches starting with [3,947]-exponents: u = 6, v = 4 n_start has 15 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(3,947) = 1.376163714565712941 D2(3,947) = 0.08505227105614849865 C1(3,947) = 1.402711400581188760 C2(3,947) = 3.108086266341202153 C3(3,947) = 1.141019270646254972 C4(3,947) = 7576 Sum = 5974.273797145718367 Averaged sum = 0.5968901785538733506 logp*logq = 7.529118601692238171 -------------- ************************************* p = 3; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1874.425007459107633 -------------- Searches starting with [3,953]-exponents: u = 6, v = 4 n_start has 15 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(3,953) = 1.335868037648649266 D2(3,953) = 0.09488274958747298980 C1(3,953) = 1.358524757161805237 C2(3,953) = 3.119380967792568719 C3(3,953) = 1.136287423765663685 C4(3,953) = 7624 Sum = 7139.640123342311615 Averaged sum = 0.7133220225139685897 logp*logq = 7.536057228685417740 -------------- ************************************* p = 3; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1904.698375299794561 -------------- Searches starting with [3,967]-exponents: u = 6, v = 3 n_start has 12 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(3,967) = 1.288074947341894061 D2(3,967) = 0.1182127858716725315 C1(3,967) = 1.310553893007945528 C2(3,967) = 3.146091185865188208 C3(3,967) = 1.131172546620256314 C4(3,967) = 7736 Sum = 7229.519834424362059 Averaged sum = 0.7223019117218865081 logp*logq = 7.552078941848819911 -------------- ************************************* p = 3; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1913.355878063245869 -------------- Searches starting with [3,971]-exponents: u = 6, v = 3 n_start has 12 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(3,971) = 1.306317680280815347 D2(3,971) = 0.1249867665307415850 C1(3,971) = 1.331038194433364648 C2(3,971) = 3.153821745135381282 C3(3,971) = 1.133353855587417679 C4(3,971) = 7768 Sum = 7488.468471030247886 Averaged sum = 0.7481734909611597448 logp*logq = 7.556613983535968485 -------------- ************************************* p = 3; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1926.348723750424798 -------------- Searches starting with [3,977]-exponents: u = 6, v = 3 n_start has 12 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(3,977) = 1.313974313111906423 D2(3,977) = 0.1352445489984699731 C1(3,977) = 1.341174182293246569 C2(3,977) = 3.165506866578605199 C3(3,977) = 1.134434760255319451 C4(3,977) = 7816 Sum = 5646.895703441502443 Averaged sum = 0.5641818067181039507 logp*logq = 7.563381637105773673 -------------- ************************************* p = 3; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1939.349440368748177 -------------- Searches starting with [3,983]-exponents: u = 6, v = 3 n_start has 12 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(3,983) = 1.128162699385524214 D2(3,983) = 0.1456241717738045212 C1(3,983) = 1.153221999656334792 C2(3,983) = 3.177304893161568488 C3(3,983) = 1.114558122672343510 C4(3,983) = 7864 Sum = 5037.345159137944947 Averaged sum = 0.5032815625075377108 logp*logq = 7.570107855802228276 -------------- ************************************* p = 3; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1956.695898064842401 -------------- Searches starting with [3,991]-exponents: u = 6, v = 3 n_start has 12 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(3,991) = 0.8237987567113742776 D2(3,991) = 0.1596648884347872694 C1(3,991) = 0.8391219340002341615 C2(3,991) = 3.193223105781616810 C3(3,991) = 1.082115146695554284 C4(3,991) = 7928 Sum = 6245.844651182476540 Averaged sum = 0.6240228445581453232 logp*logq = 7.579012563428220691 -------------- ************************************* p = 3; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1969.714812591704135 -------------- Searches starting with [3,997]-exponents: u = 6, v = 3 n_start has 12 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(3,997) = 1.332353186644594092 D2(3,997) = 0.1703557041758627425 C1(3,997) = 1.365466965234113856 C2(3,997) = 3.205311901355939271 C3(3,997) = 1.137029547596371393 C4(3,997) = 7976 Sum = 5003.596878745054685 Averaged sum = 0.4999097690823313702 logp*logq = 7.585644046070667787 -------------- ************************************* p = 5; q = 7; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22.91568402568195176 -------------- Searches starting with [5,7]-exponents: u = 1, v = 4 n_start has 5 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(5,7) = 1.138478415374075442 D2(5,7) = 0.1109894596470092317 C1(5,7) = 1.440854266979718538 C2(5,7) = 2.392492401992783083 C3(5,7) = 1.985123097576253112 C4(5,7) = 56 Sum = 7788.284416587684687 Averaged sum = 0.7781281263450579165 logp*logq = 3.131821568079912543 -------------- ************************************* p = 5; q = 11; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47.43040895264816987 -------------- Searches starting with [5,11]-exponents: u = 73, v = 2 n_start has 54 digits starting right neighbors generation We generated 1953 left neighbors We generated 8057 right neighbors We generated 10009 non-negative rho_i D1(5,11) = 1.188701004914144868 D2(5,11) = 0.001469838485824132950 C1(5,11) = 1.425154919988302308 C2(5,11) = 1.456177436411421167 C3(5,11) = 1.970347341004771213 C4(5,11) = 88 Sum = 6596.286689957028851 Averaged sum = 0.6590355370123917325 logp*logq = 3.859263562088207122 -------------- ************************************* p = 5; q = 13; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62.06155650615450600 -------------- Searches starting with [5,13]-exponents: u = 3, v = 5 n_start has 8 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(5,13) = 1.321124147747664072 D2(5,13) = 0.03104259895759415153 C1(5,13) = 1.481026689868999492 C2(5,13) = 1.832255579812466865 C3(5,13) = 2.023438676847201738 C4(5,13) = 104 Sum = 7764.013376777372315 Averaged sum = 0.7757032047934231506 logp*logq = 4.128126739372082782 -------------- ************************************* p = 5; q = 17; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95.57210319965596643 -------------- Searches starting with [5,17]-exponents: u = 7, v = 1 n_start has 7 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(5,17) = 1.103583090382569346 D2(5,17) = 0.1797045904248290339 C1(5,17) = 1.373471519745429352 C2(5,17) = 1.350916661978165711 C3(5,17) = 1.922477055788268994 C4(5,17) = 136 Sum = 6907.879075230601521 Averaged sum = 0.6901667574413629254 logp*logq = 4.559880969938272993 -------------- ************************************* p = 5; q = 19; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114.3074472440434477 -------------- Searches starting with [5,19]-exponents: u = 9, v = 1 n_start has 8 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(5,19) = 1.139838915137107154 D2(5,19) = 0.1578288483353502569 C1(5,19) = 1.366249246957531041 C2(5,19) = 2.123871327873306535 C3(5,19) = 1.915880899308385403 C4(5,19) = 152 Sum = 6729.588509055080021 Averaged sum = 0.6723537325462164073 logp*logq = 4.738891723919229499 -------------- ************************************* p = 5; q = 23; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155.4591918482860398 -------------- Searches starting with [5,23]-exponents: u = 37, v = 1 n_start has 28 digits starting right neighbors generation We generated 298 left neighbors We generated 9712 right neighbors We generated 10009 non-negative rho_i D1(5,23) = 0.9315775235621475149 D2(5,23) = 0.0005087729626872231137 C1(5,23) = 1.025356120678578192 C2(5,23) = 1.462533395731766668 C3(5,23) = 1.628975993730693303 C4(5,23) = 184 Sum = 6651.507028181226864 Averaged sum = 0.6645526054731968092 logp*logq = 5.046383265334207032 -------------- ************************************* p = 5; q = 29; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 225.7557293513373468 -------------- Searches starting with [5,29]-exponents: u = 2, v = 10 n_start has 17 digits starting right neighbors generation We generated 87 left neighbors We generated 9923 right neighbors We generated 10009 non-negative rho_i D1(5,29) = 1.039148556283410942 D2(5,29) = 0.08135976813470631999 C1(5,29) = 1.196863790883058800 C2(5,29) = 1.769710293770365223 C3(5,29) = 1.767506010823440555 C4(5,29) = 232 Sum = 6534.921179374529904 Averaged sum = 0.6529045038839574287 logp*logq = 5.419453571161482128 -------------- ************************************* p = 5; q = 31; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 251.3356250946462930 -------------- Searches starting with [5,31]-exponents: u = 2, v = 7 n_start has 12 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(5,31) = 1.230557096114438351 D2(5,31) = 0.1189302077663763555 C1(5,31) = 1.399526594760048918 C2(5,31) = 1.998876186859113909 C3(5,31) = 1.946462664423182127 C4(5,31) = 248 Sum = 5514.900798672824870 Averaged sum = 0.5509941851006918643 logp*logq = 5.526789197711985941 -------------- ************************************* p = 5; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334.1360305965502577 -------------- Searches starting with [5,37]-exponents: u = 2, v = 4 n_start has 8 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(5,37) = 1.806775363926254286 D2(5,37) = 0.1479331658025268307 C1(5,37) = 1.973252215458825097 C2(5,37) = 1.294838127500019159 C3(5,37) = 2.557527883268099533 C4(5,37) = 296 Sum = 7592.198105840585145 Averaged sum = 0.7585371271696058692 logp*logq = 5.811548187297019807 -------------- ************************************* p = 5; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 394.1626631409703598 -------------- Searches starting with [5,41]-exponents: u = 2, v = 3 n_start has 7 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(5,41) = 1.290248364583775673 D2(5,41) = 0.06903789803374312366 C1(5,41) = 1.470783283193231559 C2(5,41) = 2.700693547810444766 C3(5,41) = 2.013599055643234788 C4(5,41) = 328 Sum = 5764.544888380726237 Averaged sum = 0.5759361463063968665 logp*logq = 5.976763674710168898 -------------- ************************************* p = 5; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 425.5651551801985921 -------------- Searches starting with [5,43]-exponents: u = 7, v = 2 n_start has 9 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(5,43) = 1.666027942978631425 D2(5,43) = 0.06361265742082308940 C1(5,43) = 2.073465922704531398 C2(5,43) = 1.065294902078074019 C3(5,43) = 2.682452051852796876 C4(5,43) = 344 Sum = 7038.801876710324659 Averaged sum = 0.7032472651324132939 logp*logq = 6.053418062448743918 -------------- ************************************* p = 5; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 491.0635350249905358 -------------- Searches starting with [5,47]-exponents: u = 7, v = 2 n_start has 9 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(5,47) = 0.9651734788155149422 D2(5,47) = 0.04910640480453712142 C1(5,47) = 1.060783296545086467 C2(5,47) = 2.326921668226394874 C3(5,47) = 1.656672138113924811 C4(5,47) = 376 Sum = 6760.753531947937390 Averaged sum = 0.6754674325055387541 logp*logq = 6.196573518659394838 -------------- ************************************* p = 5; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 595.8198338103481545 -------------- Searches starting with [5,53]-exponents: u = 37, v = 2 n_start has 30 digits starting right neighbors generation We generated 364 left neighbors We generated 9646 right neighbors We generated 10009 non-negative rho_i D1(5,53) = 1.287349726003367167 D2(5,53) = 0.03222545107052279987 C1(5,53) = 1.457010303497594632 C2(5,53) = 1.998903141732144657 C3(5,53) = 2.000444371182244860 C4(5,53) = 424 Sum = 4295.361979028334418 Averaged sum = 0.4291499629361908700 logp*logq = 6.389938329101316675 -------------- ************************************* p = 5; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 708.0702780793970494 -------------- Searches starting with [5,59]-exponents: u = 5, v = 13 n_start has 27 digits starting right neighbors generation We generated 287 left neighbors We generated 9723 right neighbors We generated 10009 non-negative rho_i D1(5,59) = 1.317422925504821070 D2(5,59) = 0.03302073170910619233 C1(5,59) = 1.489773977883700772 C2(5,59) = 2.003586388804389608 C3(5,59) = 2.031879206854441261 C4(5,59) = 472 Sum = 6433.861576146978518 Averaged sum = 0.6428076307470255289 logp*logq = 6.562543351591498770 -------------- ************************************* p = 5; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 747.0979120476147410 -------------- Searches starting with [5,61]-exponents: u = 5, v = 9 n_start has 20 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(5,61) = 1.093916219550504434 D2(5,61) = 0.1045174998884537467 C1(5,61) = 1.191100935400323860 C2(5,61) = 2.082053346284846429 C3(5,61) = 1.762665343249670554 C4(5,61) = 488 Sum = 6281.786687778850473 Averaged sum = 0.6276138163431761887 logp*logq = 6.616196250234997547 -------------- ************************************* p = 5; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 868.8684316417670986 -------------- Searches starting with [5,67]-exponents: u = 5, v = 3 n_start has 9 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(5,67) = 1.004859285896735195 D2(5,67) = 0.05346920905128775198 C1(5,67) = 1.094370243845032688 C2(5,67) = 2.382818216345570430 C3(5,67) = 1.683364346946951398 C4(5,67) = 536 Sum = 6296.859411138080551 Averaged sum = 0.6291197333537896443 logp*logq = 6.767191711779665768 -------------- ************************************* p = 5; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 953.8616144332213243 -------------- Searches starting with [5,71]-exponents: u = 5, v = 3 n_start has 10 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(5,71) = 1.018401387790936300 D2(5,71) = 0.1011594660049364674 C1(5,71) = 1.124104602083883327 C2(5,71) = 2.445242000759222578 C3(5,71) = 1.707353504231058577 C4(5,71) = 568 Sum = 6377.632291286364013 Averaged sum = 0.6371897583461248889 logp*logq = 6.860518602680222361 -------------- ************************************* p = 5; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 997.4759980258464044 -------------- Searches starting with [5,73]-exponents: u = 5, v = 3 n_start has 10 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(5,73) = 2.148187375578351387 D2(5,73) = 0.04703041224594561384 C1(5,73) = 2.639880779648123018 C2(5,73) = 0.9050288454589592589 C3(5,73) = 3.512330061728755504 C4(5,73) = 584 Sum = 5554.087665409819738 Averaged sum = 0.5549093481276670734 logp*logq = 6.905228086345043552 -------------- ************************************* p = 5; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1132.695002490505456 -------------- Searches starting with [5,79]-exponents: u = 8, v = 1 n_start has 8 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(5,79) = 1.457544415134483895 D2(5,79) = 0.001190916245146932877 C1(5,79) = 1.693115103504358772 C2(5,79) = 2.664045951323422713 C3(5,79) = 2.238325570386751589 C4(5,79) = 632 Sum = 5345.521215701888588 Averaged sum = 0.5340714572586560683 logp*logq = 7.032355030164186072 -------------- ************************************* p = 5; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1226.413828514989263 -------------- Searches starting with [5,83]-exponents: u = 8, v = 1 n_start has 8 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(5,83) = 1.234321815956820362 D2(5,83) = 0.1386930533364416291 C1(5,83) = 1.479449089891654370 C2(5,83) = 1.311672984842684068 C3(5,83) = 2.021920137898091655 C4(5,83) = 664 Sum = 5933.268808825944530 Averaged sum = 0.5927933668524272685 logp*logq = 7.111849603191187846 -------------- ************************************* p = 5; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1372.215064534333274 -------------- Searches starting with [5,89]-exponents: u = 11, v = 1 n_start has 10 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(5,89) = 0.9266169776110434654 D2(5,89) = 0.07819414495837225485 C1(5,89) = 1.037687930483341324 C2(5,89) = 2.442113029318443261 C3(5,89) = 1.638563782790657230 C4(5,89) = 712 Sum = 6048.480285047407856 Averaged sum = 0.6043041547654518789 logp*logq = 7.224181548577473871 -------------- ************************************* p = 5; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1576.107198144493343 -------------- Searches starting with [5,97]-exponents: u = 17, v = 1 n_start has 14 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10009 non-negative rho_i D1(5,97) = 1.033445881027736332 D2(5,97) = 0.06804914347404123976 C1(5,97) = 1.156735767004416595 C2(5,97) = 2.256314516785454372 C3(5,97) = 1.734073378740271481 C4(5,97) = 776 Sum = 5815.527490098242449 Averaged sum = 0.5810298221698713607 logp*logq = 7.362713287231845083 -------------- ************************************* p = 5; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1682.018653019010578 -------------- Searches starting with [5,101]-exponents: u = 20, v = 1 n_start has 16 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(5,101) = 0.9095396464443599302 D2(5,101) = 0.1002824651010170437 C1(5,101) = 1.024618944828934556 C2(5,101) = 2.161115533356630050 C3(5,101) = 1.628404631380224338 C4(5,101) = 808 Sum = 6154.271760149921970 Averaged sum = 0.6148737896043482835 logp*logq = 7.427749930256782992 -------------- ************************************* p = 5; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1735.947317181476361 -------------- Searches starting with [5,103]-exponents: u = 23, v = 1 n_start has 19 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(5,103) = 0.9420088449963347358 D2(5,103) = 0.03265466956373930990 C1(5,103) = 1.046833044331636942 C2(5,103) = 2.099523948388746448 C3(5,103) = 1.645710388992654004 C4(5,103) = 824 Sum = 5419.437022241624030 Averaged sum = 0.5414563914718377490 logp*logq = 7.459308547514115162 -------------- ************************************* p = 5; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1845.725832939426325 -------------- Searches starting with [5,107]-exponents: u = 29, v = 1 n_start has 23 digits starting right neighbors generation We generated 140 left neighbors We generated 9870 right neighbors We generated 10009 non-negative rho_i D1(5,107) = 0.9625906853651585003 D2(5,107) = 0.009799722275454538664 C1(5,107) = 1.064391094130735811 C2(5,107) = 1.983960774414251956 C3(5,107) = 1.659518916215164022 C4(5,107) = 856 Sum = 6345.270696753209144 Averaged sum = 0.6339565088173852677 logp*logq = 7.520627884498240663 -------------- ************************************* p = 5; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1901.566201320969500 -------------- Searches starting with [5,109]-exponents: u = 32, v = 1 n_start has 25 digits starting right neighbors generation We generated 156 left neighbors We generated 9854 right neighbors We generated 10009 non-negative rho_i D1(5,109) = 1.471331342377479403 D2(5,109) = 0.02434154943604900191 C1(5,109) = 1.613645818703235487 C2(5,109) = 1.922554933732474961 C3(5,109) = 2.155256695909426682 C4(5,109) = 872 Sum = 6850.320512534544334 Averaged sum = 0.6844160767843485197 logp*logq = 7.550433142077010816 -------------- ************************************* p = 5; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2015.126360247360122 -------------- Searches starting with [5,113]-exponents: u = 44, v = 1 n_start has 33 digits starting right neighbors generation We generated 252 left neighbors We generated 9758 right neighbors We generated 10009 non-negative rho_i D1(5,113) = 1.207355879640616759 D2(5,113) = 0.04999505800115123346 C1(5,113) = 1.356589938848379505 C2(5,113) = 1.790929035515563315 C3(5,113) = 1.907094341797799394 C4(5,113) = 904 Sum = 6411.551378393088843 Averaged sum = 0.6405786170839333443 logp*logq = 7.608437182214784757 -------------- ************************************* p = 5; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2431.876235712177559 -------------- Searches starting with [5,127]-exponents: u = 3, v = 101 n_start has 215 digits --- performed 5000 steps in the continued fraction search [5,127]-exponents: u = 15, v = 79 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,127) = 0.8195383573994625792 D2(5,127) = 0.02460921071068668138 C1(5,127) = 0.8877568262179117163 C2(5,127) = 1.235971063688233673 C3(5,127) = 1.525725680736435126 C4(5,127) = 1016 Sum = 6845.875467864044722 Averaged sum = 0.6846560123876432365 logp*logq = 7.796418351870142042 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,127) = 0.8195383573994625792 D2(5,127) = 0.02460921071068668138 C1(5,127) = 0.8877568262179117163 C2(5,127) = 1.235971063688233673 C3(5,127) = 1.525725680736435126 C4(5,127) = 1016 Sum = 6845.875467864044722 Averaged sum = 0.6846560123876432365 logp*logq = 7.796418351870142042 -------------- ************************************* p = 5; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2556.328689656886528 -------------- Searches starting with [5,131]-exponents: u = 3, v = 34 n_start has 75 digits starting right neighbors generation We generated 1295 left neighbors We generated 8715 right neighbors We generated 10009 non-negative rho_i D1(5,131) = 1.169079256388000019 D2(5,131) = 0.009372427310863369669 C1(5,131) = 1.265953184238879273 C2(5,131) = 1.517194919934974464 C3(5,131) = 1.826585040007100255 C4(5,131) = 1048 Sum = 5557.408186819300661 Averaged sum = 0.5552411016904086982 logp*logq = 7.846327402557175482 -------------- ************************************* p = 5; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2747.382256219754998 -------------- Searches starting with [5,137]-exponents: u = 3, v = 17 n_start has 39 digits **************************************************** Computing .... elapsed time = 1 minutes **************************************************** starting right neighbors generation We generated 366 left neighbors We generated 9644 right neighbors We generated 10009 non-negative rho_i D1(5,137) = 0.8834949491982312377 D2(5,137) = 0.0001925742441563180452 C1(5,137) = 0.9734720280908215118 C2(5,137) = 1.768052468161524130 C3(5,137) = 1.589247655388661900 C4(5,137) = 1096 Sum = 6193.156833848576660 Averaged sum = 0.6187588004644396702 logp*logq = 7.918403830480409798 -------------- ************************************* p = 5; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2812.219830977732444 -------------- Searches starting with [5,139]-exponents: u = 3, v = 15 n_start has 35 digits starting right neighbors generation We generated 289 left neighbors We generated 9721 right neighbors We generated 10009 non-negative rho_i D1(5,139) = 0.9441629623284263079 D2(5,139) = 0.02068038902709676285 C1(5,139) = 1.061525741502331515 C2(5,139) = 1.836136766968467110 C3(5,139) = 1.657257574304556411 C4(5,139) = 1112 Sum = 5730.346570308238224 Averaged sum = 0.5725193895802016409 logp*logq = 7.941729425898345147 -------------- ************************************* p = 5; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3144.911084051491581 -------------- Searches starting with [5,149]-exponents: u = 3, v = 9 n_start has 22 digits starting right neighbors generation We generated 112 left neighbors We generated 9898 right neighbors We generated 10009 non-negative rho_i D1(5,149) = 1.024361218877701117 D2(5,149) = 0.08475801812264293326 C1(5,149) = 1.119170637755833416 C2(5,149) = 2.106370438412525773 C3(5,149) = 1.703349341626785194 C4(5,149) = 1192 Sum = 6004.182602208565208 Averaged sum = 0.5998783696881371973 logp*logq = 8.053540896573187912 -------------- ************************************* p = 5; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3213.128611076886866 -------------- Searches starting with [5,151]-exponents: u = 3, v = 8 n_start has 20 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(5,151) = 1.133603662844820996 D2(5,151) = 0.01732491900284706109 C1(5,151) = 1.269481644560438455 C2(5,151) = 2.140154441421512323 C3(5,151) = 1.829654710913299048 C4(5,151) = 1208 Sum = 5595.553685636471503 Averaged sum = 0.5590522215642393348 logp*logq = 8.075000386661115599 -------------- ************************************* p = 5; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3421.087266498376973 -------------- Searches starting with [5,157]-exponents: u = 3, v = 7 n_start has 18 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(5,157) = 1.196661798485276630 D2(5,157) = 0.1526694440037059703 C1(5,157) = 1.380918670066337212 C2(5,157) = 2.282784015775894178 C3(5,157) = 1.929302376947004615 C4(5,157) = 1256 Sum = 5728.238179179884568 Averaged sum = 0.5723087400519417092 logp*logq = 8.137713693713457551 -------------- ************************************* p = 5; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3633.947091856606474 -------------- Searches starting with [5,163]-exponents: u = 3, v = 6 n_start has 16 digits starting right neighbors generation We generated 61 left neighbors We generated 9949 right neighbors We generated 10009 non-negative rho_i D1(5,163) = 1.192130574784512271 D2(5,163) = 0.09988289221307626030 C1(5,163) = 1.384840656370201286 C2(5,163) = 2.369171332215845273 C3(5,163) = 1.932906617207412580 C4(5,163) = 1304 Sum = 6028.069640539269481 Averaged sum = 0.6022649256208681667 logp*logq = 8.198074689647215157 -------------- ************************************* p = 5; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3778.541158842365199 -------------- Searches starting with [5,167]-exponents: u = 3, v = 5 n_start has 14 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10009 non-negative rho_i D1(5,167) = 1.257374470188873003 D2(5,167) = 0.1779113726811295688 C1(5,167) = 1.375420906350673310 C2(5,167) = 2.451918670330896789 C3(5,167) = 1.924261334172241147 C4(5,167) = 1336 Sum = 6841.617488911278862 Averaged sum = 0.6835465569898370328 logp*logq = 8.237093277306665045 -------------- ************************************* p = 5; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3999.412946725855450 -------------- Searches starting with [5,173]-exponents: u = 3, v = 4 n_start has 12 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(5,173) = 1.281316120904758358 D2(5,173) = 0.04131332738139590255 C1(5,173) = 1.501240234177761408 C2(5,173) = 2.512026716589035008 C3(5,173) = 2.042996702582415889 C4(5,173) = 1384 Sum = 6095.167383764435942 Averaged sum = 0.6089686665765247219 logp*logq = 8.293902866012701849 -------------- ************************************* p = 5; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4225.003559780970408 -------------- Searches starting with [5,179]-exponents: u = 3, v = 4 n_start has 12 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(5,179) = 1.132927385253797891 D2(5,179) = 0.1202958965710175955 C1(5,179) = 1.293038991319495103 C2(5,179) = 2.598033784771223855 C3(5,179) = 1.850281619648349236 C4(5,179) = 1432 Sum = 5614.803238907911812 Averaged sum = 0.5609754459894007206 logp*logq = 8.348775382342628247 -------------- ************************************* p = 5; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4301.238183121776235 -------------- Searches starting with [5,181]-exponents: u = 3, v = 4 n_start has 12 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(5,181) = 1.067887153318722442 D2(5,181) = 0.1484282475938034495 C1(5,181) = 1.155845279653936545 C2(5,181) = 2.628455184292074881 C3(5,181) = 1.733338686893621902 C4(5,181) = 1448 Sum = 5781.836831257714617 Averaged sum = 0.5776637857186246994 logp*logq = 8.366658209795338816 -------------- ************************************* p = 5; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4690.094364350280302 -------------- Searches starting with [5,191]-exponents: u = 3, v = 3 n_start has 9 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(5,191) = 1.046863715237003665 D2(5,191) = 0.1881116737390627841 C1(5,191) = 1.167573798252204573 C2(5,191) = 2.347607092318793995 C3(5,191) = 1.743040237597519249 C4(5,191) = 1528 Sum = 6006.661051320274161 Averaged sum = 0.6001259917394619004 logp*logq = 8.453207981568464084 -------------- ************************************* p = 5; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4769.387225710415382 -------------- Searches starting with [5,193]-exponents: u = 3, v = 3 n_start has 9 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(5,193) = 0.9033314200402640638 D2(5,193) = 0.1792818504028075740 C1(5,193) = 0.9840168291950260844 C2(5,193) = 2.341400642102869739 C3(5,193) = 1.597242722407238619 C4(5,193) = 1544 Sum = 6168.166789727188749 Averaged sum = 0.6162620431338983663 logp*logq = 8.469973111418500352 -------------- ************************************* p = 5; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4929.478005256109005 -------------- Searches starting with [5,197]-exponents: u = 3, v = 3 n_start has 9 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(5,197) = 1.109952031015956000 D2(5,197) = 0.1623840753222661500 C1(5,197) = 1.215230096874978081 C2(5,197) = 2.329666783578751415 C3(5,197) = 1.783022162991262251 C4(5,197) = 1576 Sum = 5959.290934331847091 Averaged sum = 0.5953932395176188521 logp*logq = 8.502988380144123336 -------------- ************************************* p = 5; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5010.271914622902221 -------------- Searches starting with [5,199]-exponents: u = 3, v = 3 n_start has 9 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(5,199) = 1.144097577146578605 D2(5,199) = 0.01050371558251152510 C1(5,199) = 1.253050097137098904 C2(5,199) = 2.819098369815688384 C3(5,199) = 1.815403468343773504 C4(5,199) = 1592 Sum = 6806.518513289612789 Averaged sum = 0.6800398154950157647 logp*logq = 8.519245466981938624 -------------- ************************************* p = 5; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5505.392701226425836 -------------- Searches starting with [5,211]-exponents: u = 3, v = 3 n_start has 10 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(5,211) = 1.206582952637976534 D2(5,211) = 0.06915261911489050210 C1(5,211) = 1.308745571177734732 C2(5,211) = 1.443323612970500060 C3(5,211) = 1.864163412412874312 C4(5,211) = 1688 Sum = 5835.738226467444024 Averaged sum = 0.5830490784761158980 logp*logq = 8.613483381985181383 -------------- ************************************* p = 5; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6017.981890910668321 -------------- Searches starting with [5,223]-exponents: u = 10, v = 2 n_start has 12 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(5,223) = 0.8761720044121071894 D2(5,223) = 0.08137790885325746451 C1(5,223) = 0.9702780169362207789 C2(5,223) = 2.584991234334027590 C3(5,223) = 1.586833862510906649 C4(5,223) = 1784 Sum = 5724.393807342823438 Averaged sum = 0.5719246485505868157 logp*logq = 8.702507248031370018 -------------- ************************************* p = 5; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6192.661439533369041 -------------- Searches starting with [5,227]-exponents: u = 10, v = 2 n_start has 12 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(5,227) = 0.8433736652241142429 D2(5,227) = 0.06797933666281401020 C1(5,227) = 0.9323475896290654592 C2(5,227) = 2.576788435044641195 C3(5,227) = 1.558447647916585622 C4(5,227) = 1816 Sum = 5520.495940331442061 Averaged sum = 0.5515531961566032632 logp*logq = 8.731120231194605055 -------------- ************************************* p = 5; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6280.709294996530856 -------------- Searches starting with [5,229]-exponents: u = 10, v = 2 n_start has 12 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(5,229) = 1.112329749267348108 D2(5,229) = 0.06147858174108227953 C1(5,229) = 1.272938741475763679 C2(5,229) = 2.572850436201274115 C3(5,229) = 1.832667300703370969 C4(5,229) = 1832 Sum = 5795.309537224176291 Averaged sum = 0.5790098448620417914 logp*logq = 8.745238198147572796 -------------- ************************************* p = 5; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6458.213104513242750 -------------- Searches starting with [5,233]-exponents: u = 10, v = 2 n_start has 12 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(5,233) = 0.9220421655913800323 D2(5,233) = 0.04884920103901403908 C1(5,233) = 1.016325507560039396 C2(5,233) = 2.565278360450036575 C3(5,233) = 1.621990436266595491 C4(5,233) = 1864 Sum = 5829.686809813859255 Averaged sum = 0.5824444809485322464 logp*logq = 8.773107949304787907 -------------- ************************************* p = 5; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6727.965451063950365 -------------- Searches starting with [5,239]-exponents: u = 17, v = 2 n_start has 17 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(5,239) = 1.151834723160528156 D2(5,239) = 0.02684622141328804662 C1(5,239) = 1.345304397090588394 C2(5,239) = 2.228950818011825877 C3(5,239) = 1.896879517332137942 C4(5,239) = 1912 Sum = 5819.286185669213343 Averaged sum = 0.5814053537485476414 logp*logq = 8.814028066542088974 -------------- ************************************* p = 5; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6818.809167783107810 -------------- Searches starting with [5,241]-exponents: u = 17, v = 2 n_start has 17 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(5,241) = 1.462155144807580679 D2(5,241) = 0.02177241579642663391 C1(5,241) = 1.587373648336634034 C2(5,241) = 2.225786460216820770 C3(5,241) = 2.128478278629955370 C4(5,241) = 1928 Sum = 6109.877190041987143 Averaged sum = 0.6104383245121377903 logp*logq = 8.827440126762155051 -------------- ************************************* p = 5; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7279.907562192755209 -------------- Searches starting with [5,251]-exponents: u = 24, v = 2 n_start has 22 digits starting right neighbors generation We generated 127 left neighbors We generated 9883 right neighbors We generated 10009 non-negative rho_i D1(5,251) = 0.9316884937471121063 D2(5,251) = 0.1391871791031482325 C1(5,251) = 1.027353524148938785 C2(5,251) = 2.348072187217126322 C3(5,251) = 1.630525127489437281 C4(5,251) = 2008 Sum = 5441.980874364667881 Averaged sum = 0.5437087495618611131 logp*logq = 8.892873443609122542 -------------- ************************************* p = 5; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7562.018493353951060 -------------- Searches starting with [5,257]-exponents: u = 31, v = 2 n_start has 27 digits starting right neighbors generation We generated 201 left neighbors We generated 9809 right neighbors We generated 10009 non-negative rho_i D1(5,257) = 0.8164300266699807756 D2(5,257) = 0.08814639672851458744 C1(5,257) = 0.8878186668097517580 C2(5,257) = 2.303407078527566863 C3(5,257) = 1.525770581993079326 C4(5,257) = 2056 Sum = 5794.770966618589127 Averaged sum = 0.5789560362292525853 logp*logq = 8.930893430011753298 -------------- ************************************* p = 5; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7848.172281691097050 -------------- Searches starting with [5,263]-exponents: u = 45, v = 2 n_start has 37 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(5,263) = 1.007253165714705562 D2(5,263) = 0.04284326354864568730 C1(5,263) = 1.133173619484244106 C2(5,263) = 2.264330130531185708 C3(5,263) = 1.714738040030452176 C4(5,263) = 2104 Sum = 5181.616406413079545 Averaged sum = 0.5176957144982595209 logp*logq = 8.968035953309436345 -------------- ************************************* p = 5; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8138.332646702493813 -------------- Searches starting with [5,269]-exponents: u = 66, v = 2 n_start has 51 digits starting right neighbors generation We generated 781 left neighbors We generated 9229 right neighbors We generated 10009 non-negative rho_i D1(5,269) = 2.194728156139182432 D2(5,269) = 0.001972634236240079964 C1(5,269) = 2.438160886826375767 C2(5,269) = 2.229542998698077229 C3(5,269) = 3.190839927302243147 C4(5,269) = 2152 Sum = 10133.12281955894328 Averaged sum = 1.012401120947041990 logp*logq = 9.004340603457689629 -------------- ************************************* p = 5; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8235.937012438965678 -------------- Searches starting with [5,271]-exponents: u = 87, v = 2 n_start has 66 digits starting right neighbors generation We generated 1260 left neighbors We generated 8750 right neighbors We generated 10009 non-negative rho_i D1(5,271) = 1.102547884687652285 D2(5,271) = 0.02343289425422252215 C1(5,271) = 1.203478209702138040 C2(5,271) = 2.070590867554452063 C3(5,271) = 1.773078359658578702 C4(5,271) = 2168 Sum = 6379.799186912510515 Averaged sum = 0.6374062530634939069 logp*logq = 9.016262420284409699 -------------- ************************************* p = 5; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8531.384993456357732 -------------- Searches starting with [5,277]-exponents: u = 311, v = 2 n_start has 223 digits --- performed 5000 steps in the continued fraction search [5,277]-exponents: u = 161, v = 27 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,277) = 0.9725131075718333037 D2(5,277) = 0.1457178168273750028 C1(5,277) = 1.053143960066590334 C2(5,277) = 1.503972943302426312 C3(5,277) = 1.650660331091475927 C4(5,277) = 2216 Sum = 6582.809190287457810 Averaged sum = 0.6583467537041161926 logp*logq = 9.051506994650985262 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,277) = 0.9725131075718333037 D2(5,277) = 0.1457178168273750028 C1(5,277) = 1.053143960066590334 C2(5,277) = 1.503972943302426312 C3(5,277) = 1.650660331091475927 C4(5,277) = 2216 Sum = 6582.809190287457810 Averaged sum = 0.6583467537041161926 logp*logq = 9.051506994650985262 -------------- ************************************* p = 5; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8730.533591653271850 -------------- Searches starting with [5,281]-exponents: u = 7, v = 151 n_start has 375 digits --- performed 5000 steps in the continued fraction search [5,281]-exponents: u = 85, v = 119 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,281) = 1.009555511505776440 D2(5,281) = 0.3283842418554936262 C1(5,281) = 1.086167424306015331 C2(5,281) = 1.493284408527946949 C3(5,281) = 1.676805976957112449 C4(5,281) = 2248 Sum = 6753.342805509146512 Averaged sum = 0.6754018207329879499 logp*logq = 9.074581768575566090 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,281) = 1.009555511505776440 D2(5,281) = 0.3283842418554936262 C1(5,281) = 1.086167424306015331 C2(5,281) = 1.493284408527946949 C3(5,281) = 1.676805976957112449 C4(5,281) = 2248 Sum = 6753.342805509146512 Averaged sum = 0.6754018207329879499 logp*logq = 9.074581768575566090 -------------- ************************************* p = 5; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8830.759201621161379 -------------- Searches starting with [5,283]-exponents: u = 7, v = 63 n_start has 160 digits --- performed 5000 steps in the continued fraction search [5,283]-exponents: u = 87, v = 11 --- starting right neighbors generation We generated 7366 left neighbors We generated 2644 right neighbors We generated 10009 non-negative rho_i D1(5,283) = 1.035732207982861870 D2(5,283) = 0.00007447439898836446792 C1(5,283) = 1.126514679875516204 C2(5,283) = 1.843135331743690088 C3(5,283) = 1.709312825248040700 C4(5,283) = 2264 Sum = 6536.603364417845507 Averaged sum = 0.6530725711277695581 logp*logq = 9.085996269700500697 -------------- ************************************* p = 5; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9338.352708438821785 -------------- Searches starting with [5,293]-exponents: u = 7, v = 17 n_start has 47 digits starting right neighbors generation We generated 645 left neighbors We generated 9365 right neighbors We generated 10009 non-negative rho_i D1(5,293) = 1.247210735948238774 D2(5,293) = 0.01743064135484306570 C1(5,293) = 1.392175059512002316 C2(5,293) = 2.248834700931161263 C3(5,293) = 1.939664891259478563 C4(5,293) = 2344 Sum = 4470.832340147686097 Averaged sum = 0.4466812209159442598 logp*logq = 9.141885146121786235 -------------- ************************************* p = 5; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10066.87775691199408 -------------- Searches starting with [5,307]-exponents: u = 7, v = 7 n_start has 23 digits starting right neighbors generation We generated 130 left neighbors We generated 9880 right neighbors We generated 10009 non-negative rho_i D1(5,307) = 0.8273541428563340756 D2(5,307) = 0.1075532946097812089 C1(5,307) = 0.9056227605312875428 C2(5,307) = 2.348673951098898690 C3(5,307) = 1.538752900003351044 C4(5,307) = 2456 Sum = 6103.066053914884793 Averaged sum = 0.6097578233504730535 logp*logq = 9.217005883704668378 -------------- ************************************* p = 5; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10278.81564130091681 -------------- Searches starting with [5,311]-exponents: u = 7, v = 7 n_start has 23 digits starting right neighbors generation We generated 130 left neighbors We generated 9880 right neighbors We generated 10009 non-negative rho_i D1(5,311) = 0.8007584615746373299 D2(5,311) = 0.1356712539341976123 C1(5,311) = 0.8823100356529933885 C2(5,311) = 2.379484849870855213 C3(5,311) = 1.521776050759755587 C4(5,311) = 2488 Sum = 5900.673984848874214 Averaged sum = 0.5895368153510714570 logp*logq = 9.237840322381792208 -------------- ************************************* p = 5; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10385.41053853498763 -------------- Searches starting with [5,313]-exponents: u = 7, v = 7 n_start has 23 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(5,313) = 1.183862792531833085 D2(5,313) = 0.0008472525967293032519 C1(5,313) = 1.358904350262796344 C2(5,313) = 2.072813553408097599 C3(5,313) = 1.909195960567018789 C4(5,313) = 2504 Sum = 5473.469977412534489 Averaged sum = 0.5468548283956973213 logp*logq = 9.248157267405111303 -------------- ************************************* p = 5; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10599.84702998022940 -------------- Searches starting with [5,317]-exponents: u = 7, v = 5 n_start has 18 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(5,317) = 0.8074229402483904890 D2(5,317) = 0.008277843466975786669 C1(5,317) = 0.8781369852245178219 C2(5,317) = 2.261058882927989829 C3(5,317) = 1.518756966527408394 C4(5,317) = 2536 Sum = 5745.678095034066754 Averaged sum = 0.5740511634562960090 logp*logq = 9.268594848862088073 -------------- ************************************* p = 5; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11363.35843835697888 -------------- Searches starting with [5,331]-exponents: u = 7, v = 3 n_start has 13 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(5,331) = 0.9449282709030192736 D2(5,331) = 0.03877779713428077324 C1(5,331) = 1.100505900166338590 C2(5,331) = 2.617089932083193546 C3(5,331) = 1.688286729435245733 C4(5,331) = 2648 Sum = 5408.648256919475515 Averaged sum = 0.5403784850553976936 logp*logq = 9.338149285762394088 -------------- ************************************* p = 5; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11696.70107492437250 -------------- Searches starting with [5,337]-exponents: u = 7, v = 3 n_start has 13 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(5,337) = 0.9331899453511844802 D2(5,337) = 0.05137143927547932080 C1(5,337) = 1.048533859071663714 C2(5,337) = 2.634133744478932590 C3(5,337) = 1.647042953379878906 C4(5,337) = 2696 Sum = 5600.390228948132138 Averaged sum = 0.5595354409979150902 logp*logq = 9.367062121619646659 -------------- ************************************* p = 5; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12260.34148862319089 -------------- Searches starting with [5,347]-exponents: u = 7, v = 3 n_start has 13 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(5,347) = 0.8012273137100987694 D2(5,347) = 0.07242143781518402347 C1(5,347) = 0.9046050980921639328 C2(5,347) = 2.662422166306509826 C3(5,347) = 1.538007877340910185 C4(5,347) = 2776 Sum = 5666.954121005439659 Averaged sum = 0.5661858448401877968 logp*logq = 9.414125062986726608 -------------- ************************************* p = 5; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12374.27168071134437 -------------- Searches starting with [5,349]-exponents: u = 7, v = 3 n_start has 13 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(5,349) = 1.010135947979851829 D2(5,349) = 0.07664387703900403778 C1(5,349) = 1.099956815591661064 C2(5,349) = 2.668066455512235017 C3(5,349) = 1.687845635870045106 C4(5,349) = 2792 Sum = 6086.276527986355622 Averaged sum = 0.6080803804562249597 logp*logq = 9.423374731620989729 -------------- ************************************* p = 5; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12603.32696480997950 -------------- Searches starting with [5,353]-exponents: u = 7, v = 3 n_start has 13 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(5,353) = 0.9834820238967418225 D2(5,353) = 0.08510422315042255979 C1(5,353) = 1.082485450022264854 C2(5,353) = 2.679345466360355991 C3(5,353) = 1.673870456258950499 C4(5,353) = 2824 Sum = 5940.107079076621837 Averaged sum = 0.5934765789865742668 logp*logq = 9.441716102912058254 -------------- ************************************* p = 5; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12949.88391643146518 -------------- Searches starting with [5,359]-exponents: u = 7, v = 3 n_start has 13 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(5,359) = 1.008282057704326293 D2(5,359) = 0.08298388262653676019 C1(5,359) = 1.208639707308750676 C2(5,359) = 1.615122291286576524 C3(5,359) = 1.777438888413384744 C4(5,359) = 2872 Sum = 5269.131136915669230 Averaged sum = 0.5264393183050923399 logp*logq = 9.468842103105380839 -------------- ************************************* p = 5; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13417.47505487732158 -------------- Searches starting with [5,367]-exponents: u = 11, v = 1 n_start has 11 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(5,367) = 1.529198038703193697 D2(5,367) = 0.05294043789326549172 C1(5,367) = 1.832681852094775179 C2(5,367) = 1.252475833001350986 C3(5,367) = 2.392038173112699400 C4(5,367) = 2936 Sum = 5807.630206774531418 Averaged sum = 0.5802408039538946366 logp*logq = 9.504313244900928631 -------------- ************************************* p = 5; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13772.27524399221480 -------------- Searches starting with [5,373]-exponents: u = 11, v = 1 n_start has 11 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(5,373) = 0.9955634214290865953 D2(5,373) = 0.07743960657874731781 C1(5,373) = 1.085412413239673630 C2(5,373) = 1.657439334397811805 C3(5,373) = 1.676203611410115271 C4(5,373) = 2984 Sum = 6078.680200263518424 Averaged sum = 0.6073214307386870240 logp*logq = 9.530412810026361679 -------------- ************************************* p = 5; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14130.57085266746652 -------------- Searches starting with [5,379]-exponents: u = 11, v = 1 n_start has 11 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(5,379) = 1.115100785128819785 D2(5,379) = 0.06334987055512517915 C1(5,379) = 1.209701444744541852 C2(5,379) = 2.948742727746683387 C3(5,379) = 1.778337192843414973 C4(5,379) = 3032 Sum = 5750.876611611776103 Averaged sum = 0.5745705476682761617 logp*logq = 9.556095874909750740 -------------- ************************************* p = 5; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14371.36574657017232 -------------- Searches starting with [5,383]-exponents: u = 11, v = 1 n_start has 11 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(5,383) = 1.211300288253055528 D2(5,383) = 0.04698358746436355926 C1(5,383) = 1.341051555848707177 C2(5,383) = 2.936155065178902944 C3(5,383) = 1.893044374638417690 C4(5,383) = 3064 Sum = 6028.961236997574333 Averaged sum = 0.6023540050951717787 logp*logq = 9.572993016071885690 -------------- ************************************* p = 5; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14735.43902491117389 -------------- Searches starting with [5,389]-exponents: u = 11, v = 1 n_start has 11 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(5,389) = 0.9267589708734250555 D2(5,389) = 0.02345511426056139088 C1(5,389) = 1.033211003835492956 C2(5,389) = 2.918221165227171564 C3(5,389) = 1.635076535132400451 C4(5,389) = 3112 Sum = 5236.853032673254409 Averaged sum = 0.5232144102980571894 logp*logq = 9.598010689428394753 -------------- ************************************* p = 5; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15226.21535596135621 -------------- Searches starting with [5,397]-exponents: u = 11, v = 1 n_start has 11 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(5,397) = 0.9705950829244011699 D2(5,397) = 0.1572094595887761011 C1(5,397) = 1.063405279412297107 C2(5,397) = 2.442930046392504106 C3(5,397) = 1.658740561340699393 C4(5,397) = 3176 Sum = 6328.593102136510218 Averaged sum = 0.6322902489895604174 logp*logq = 9.630773915727866645 -------------- ************************************* p = 5; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15473.88072169020567 -------------- Searches starting with [5,401]-exponents: u = 11, v = 1 n_start has 11 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(5,401) = 1.005143234509075001 D2(5,401) = 0.1650272633604903032 C1(5,401) = 1.107304528213613361 C2(5,401) = 2.453016992199762880 C3(5,401) = 1.693757799040150725 C4(5,401) = 3208 Sum = 5817.407904033367251 Averaged sum = 0.5812176944783062495 logp*logq = 9.646908766774805396 -------------- ************************************* p = 5; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15973.73622730968318 -------------- Searches starting with [5,409]-exponents: u = 11, v = 1 n_start has 11 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(5,409) = 0.9816026078472282674 D2(5,409) = 0.1808429211115247656 C1(5,409) = 1.091190726289532842 C2(5,409) = 2.473301965789359011 C3(5,409) = 1.680819200110982249 C4(5,409) = 3272 Sum = 5815.789369949415578 Averaged sum = 0.5810559866069952621 logp*logq = 9.678701166714837026 -------------- ************************************* p = 5; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16606.98001679718980 -------------- Searches starting with [5,419]-exponents: u = 15, v = 1 n_start has 14 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(5,419) = 1.447499816456681393 D2(5,419) = 0.1029532776502052110 C1(5,419) = 1.701868602940075782 C2(5,419) = 1.280009759123759168 C3(5,419) = 2.247669119036775002 C4(5,419) = 3352 Sum = 5468.166517962127510 Averaged sum = 0.5463249593328132191 logp*logq = 9.717578368906046581 -------------- ************************************* p = 5; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16734.74495723155627 -------------- Searches starting with [5,421]-exponents: u = 15, v = 1 n_start has 14 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(5,421) = 1.107821541181477170 D2(5,421) = 0.1245009045616691698 C1(5,421) = 1.302498747953288332 C2(5,421) = 1.520205095084536796 C3(5,421) = 1.858629913371021828 C4(5,421) = 3368 Sum = 5999.276589134871703 Averaged sum = 0.5993882095249147470 logp*logq = 9.725242373447524397 -------------- ************************************* p = 5; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17379.11264011945469 -------------- Searches starting with [5,431]-exponents: u = 15, v = 1 n_start has 14 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(5,431) = 1.325709084718608886 D2(5,431) = 0.1434285008606037175 C1(5,431) = 1.487816090714763567 C2(5,431) = 2.758420620155874365 C3(5,431) = 2.029986927499200936 C4(5,431) = 3448 Sum = 4755.153458425120346 Averaged sum = 0.4750877668523449242 logp*logq = 9.763024341136183497 -------------- ************************************* p = 5; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17509.09003965021555 -------------- Searches starting with [5,433]-exponents: u = 15, v = 1 n_start has 14 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(5,433) = 0.9991969667851763829 D2(5,433) = 0.1321211950032708180 C1(5,433) = 1.087734462959573900 C2(5,433) = 2.748599581913087976 C3(5,433) = 1.678056888147178411 C4(5,433) = 3464 Sum = 5940.798680990534824 Averaged sum = 0.5935456769897626960 logp*logq = 9.770475455891260711 -------------- ************************************* p = 5; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17901.21798889344079 -------------- Searches starting with [5,439]-exponents: u = 15, v = 1 n_start has 14 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(5,439) = 1.166315845126486040 D2(5,439) = 0.09984717401629709988 C1(5,439) = 1.276366494762579337 C2(5,439) = 2.720743519153618876 C3(5,439) = 1.835659217149093253 C4(5,439) = 3512 Sum = 6643.912483197006922 Averaged sum = 0.6637938338692183956 logp*logq = 9.792624033586212751 -------------- ************************************* p = 5; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18164.45987752591567 -------------- Searches starting with [5,443]-exponents: u = 15, v = 1 n_start has 14 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(5,443) = 1.039953012220765827 D2(5,443) = 0.07956005679547014236 C1(5,443) = 1.164603301201235463 C2(5,443) = 2.703368287940226134 C3(5,443) = 1.740577990559910711 C4(5,443) = 3544 Sum = 4613.978895481852902 Averaged sum = 0.4609830048438258469 logp*logq = 9.807222209972984167 -------------- ************************************* p = 5; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18562.04470625638488 -------------- Searches starting with [5,449]-exponents: u = 15, v = 1 n_start has 14 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(5,449) = 1.052113142119466729 D2(5,449) = 0.05073218195041674512 C1(5,449) = 1.141139391212560146 C2(5,449) = 2.678859310941015695 C3(5,449) = 1.721250590034348495 C4(5,449) = 3592 Sum = 5640.518141382942587 Averaged sum = 0.5635446239767152150 logp*logq = 9.828874167635165067 -------------- ************************************* p = 5; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19097.21230873876798 -------------- Searches starting with [5,457]-exponents: u = 19, v = 1 n_start has 16 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(5,457) = 1.005549352188472890 D2(5,457) = 0.01488486006581542289 C1(5,457) = 1.102811474406977778 C2(5,457) = 2.648681597450296000 C3(5,457) = 1.690140114260639162 C4(5,457) = 3656 Sum = 5446.867546219975609 Averaged sum = 0.5441969773423894104 logp*logq = 9.857297650960575979 -------------- ************************************* p = 5; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19366.95113170158717 -------------- Searches starting with [5,461]-exponents: u = 19, v = 1 n_start has 16 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(5,461) = 0.9769200532683806465 D2(5,461) = 0.2155189069658615455 C1(5,461) = 1.070863102695468066 C2(5,461) = 1.928115004067447416 C3(5,461) = 1.664638000409186871 C4(5,461) = 3688 Sum = 6006.641321657055190 Averaged sum = 0.6001240205472130272 logp*logq = 9.871323342447922602 -------------- ************************************* p = 5; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19502.35715556145010 -------------- Searches starting with [5,463]-exponents: u = 19, v = 1 n_start has 16 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(5,463) = 1.026040625550147788 D2(5,463) = 0.2024707887874782261 C1(5,463) = 1.116193558848175793 C2(5,463) = 2.643511148497986010 C3(5,463) = 1.700937834898013663 C4(5,463) = 3704 Sum = 5986.187956098077218 Averaged sum = 0.5980805231389826374 logp*logq = 9.878290617018849249 -------------- ************************************* p = 5; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19774.23940799975290 -------------- Searches starting with [5,467]-exponents: u = 19, v = 1 n_start has 16 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(5,467) = 1.024950077875124618 D2(5,467) = 0.1730207379796068407 C1(5,467) = 1.155448065346832277 C2(5,467) = 2.616616518804213069 C3(5,467) = 1.733011067744227369 C4(5,467) = 3736 Sum = 5224.096283780303493 Averaged sum = 0.5219398824837949338 logp*logq = 9.892135329595263910 -------------- ************************************* p = 5; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20598.40502203506785 -------------- Searches starting with [5,479]-exponents: u = 23, v = 1 n_start has 19 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(5,479) = 1.197924842050768177 D2(5,479) = 0.09552681778535997439 C1(5,479) = 1.379738112496437871 C2(5,479) = 2.546659557791028144 C3(5,479) = 1.928218780701347201 C4(5,479) = 3832 Sum = 5394.884345020968907 Averaged sum = 0.5390033315037435215 logp*logq = 9.932968925665313563 -------------- ************************************* p = 5; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21154.90117868287240 -------------- Searches starting with [5,487]-exponents: u = 23, v = 1 n_start has 19 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(5,487) = 0.8429150810541168264 D2(5,487) = 0.05067490286881174445 C1(5,487) = 0.9454609545595070402 C2(5,487) = 2.506728101082492290 C3(5,487) = 1.568203476903720567 C4(5,487) = 3896 Sum = 5726.679348654497587 Averaged sum = 0.5721529971679985600 logp*logq = 9.959626891844882091 -------------- ************************************* p = 5; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21435.25127369059826 -------------- Searches starting with [5,491]-exponents: u = 23, v = 1 n_start has 19 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(5,491) = 1.272911490121505050 D2(5,491) = 0.02982469242751124580 C1(5,491) = 1.412365130351502941 C2(5,491) = 2.488307890879319268 C3(5,491) = 1.958391304961500836 C4(5,491) = 3928 Sum = 5701.649881495819339 Averaged sum = 0.5696523010786111838 logp*logq = 9.972792101552153082 -------------- ************************************* p = 5; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22000.13317039028782 -------------- Searches starting with [5,499]-exponents: u = 27, v = 1 n_start has 22 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(5,499) = 0.8966391790703342720 D2(5,499) = 0.1330793309745566875 C1(5,499) = 1.026104668076557999 C2(5,499) = 2.457782526293919818 C3(5,499) = 1.629556374957160125 C4(5,499) = 3992 Sum = 5943.672794145447846 Averaged sum = 0.5938328298676638871 logp*logq = 9.998803785521690904 -------------- ************************************* p = 5; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22284.65619173913795 -------------- Searches starting with [5,503]-exponents: u = 27, v = 1 n_start has 22 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(5,503) = 0.8088271246653964102 D2(5,503) = 0.1047835062381740545 C1(5,503) = 0.8863852029689024745 C2(5,503) = 2.431725063414648418 C3(5,503) = 1.524730111257852698 C4(5,503) = 4024 Sum = 5720.910005413764789 Averaged sum = 0.5715765816179203505 logp*logq = 10.01165365747340962 -------------- ************************************* p = 5; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22714.03115589595866 -------------- Searches starting with [5,509]-exponents: u = 27, v = 1 n_start has 22 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(5,509) = 0.8684553338434710650 D2(5,509) = 0.06563845805394346876 C1(5,509) = 0.9888298317912918406 C2(5,509) = 2.395904402009059401 C3(5,509) = 1.600905297033696473 C4(5,509) = 4072 Sum = 5689.651903337256915 Averaged sum = 0.5684535821098268473 logp*logq = 10.03073812511112278 -------------- ************************************* p = 5; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23582.05423329643033 -------------- Searches starting with [5,521]-exponents: u = 31, v = 1 n_start has 25 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(5,521) = 0.8784637116080596878 D2(5,521) = 0.1041889281950003009 C1(5,521) = 0.9960632731258069112 C2(5,521) = 2.336441955959252988 C3(5,521) = 1.606425566961783672 C4(5,521) = 4168 Sum = 5699.131256372444869 Averaged sum = 0.5694006650387096482 logp*logq = 10.06824128790907511 -------------- ************************************* p = 5; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23727.92074524597182 -------------- Searches starting with [5,523]-exponents: u = 35, v = 1 n_start has 28 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(5,523) = 1.272263592280390201 D2(5,523) = 0.08919886242606723652 C1(5,523) = 1.442556667162507264 C2(5,523) = 2.322477985867906204 C3(5,523) = 1.986731990140370874 C4(5,523) = 4184 Sum = 3116.844372958227436 Averaged sum = 0.3114041735396370702 logp*logq = 10.07440772423583921 -------------- ************************************* p = 5; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25055.97462902567582 -------------- Searches starting with [5,541]-exponents: u = 43, v = 1 n_start has 33 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(5,541) = 0.9005644769070771613 D2(5,541) = 0.05102834197564149190 C1(5,541) = 1.014508193992616800 C2(5,541) = 2.210606087916709580 C3(5,541) = 1.620588293011019386 C4(5,541) = 4328 Sum = 5592.832982145997663 Averaged sum = 0.5587803958583272717 logp*logq = 10.12886758621920266 -------------- ************************************* p = 5; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25504.72274330039988 -------------- Searches starting with [5,547]-exponents: u = 47, v = 1 n_start has 36 digits starting right neighbors generation We generated 258 left neighbors We generated 9752 right neighbors We generated 10009 non-negative rho_i D1(5,547) = 1.067972761955327778 D2(5,547) = 0.008755675614531940693 C1(5,547) = 1.199976068168019259 C2(5,547) = 2.171178221460023164 C3(5,547) = 1.770125778911278371 C4(5,547) = 4376 Sum = 4262.955272039183260 Averaged sum = 0.4259122062183218363 logp*logq = 10.14661891961769756 -------------- ************************************* p = 5; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26259.31864377570353 -------------- Searches starting with [5,557]-exponents: u = 51, v = 1 n_start has 39 digits starting right neighbors generation We generated 283 left neighbors We generated 9727 right neighbors We generated 10009 non-negative rho_i D1(5,557) = 1.282986370541784414 D2(5,557) = 0.002605607347196929900 C1(5,557) = 1.435346904149524815 C2(5,557) = 2.101928784733428430 C3(5,557) = 1.979927157273667888 C4(5,557) = 4456 Sum = 6486.479588378061459 Averaged sum = 0.6480647006072596122 logp*logq = 10.17577620097697497 -------------- ************************************* p = 5; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26716.06485928755465 -------------- Searches starting with [5,563]-exponents: u = 59, v = 1 n_start has 44 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(5,563) = 0.9469335756019383108 D2(5,563) = 0.01179125873008000432 C1(5,563) = 1.025801715842220262 C2(5,563) = 2.056954784304897714 C3(5,563) = 1.629321458060336976 C4(5,563) = 4504 Sum = 5579.201027761588653 Averaged sum = 0.5574184261925855383 logp*logq = 10.19302034357455879 -------------- ************************************* p = 5; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27175.78728861146353 -------------- Searches starting with [5,569]-exponents: u = 67, v = 1 n_start has 50 digits starting right neighbors generation We generated 473 left neighbors We generated 9537 right neighbors We generated 10009 non-negative rho_i D1(5,569) = 0.9163105543640206825 D2(5,569) = 0.01076457424880055225 C1(5,569) = 1.020018121920972219 C2(5,569) = 2.009865748491906941 C3(5,569) = 1.624843200594048738 C4(5,569) = 4552 Sum = 4900.841443298373020 Averaged sum = 0.4896434652111472695 logp*logq = 10.21008168263181646 -------------- ************************************* p = 5; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27329.68734859409735 -------------- Searches starting with [5,571]-exponents: u = 67, v = 1 n_start has 50 digits starting right neighbors generation We generated 430 left neighbors We generated 9580 right neighbors We generated 10009 non-negative rho_i D1(5,571) = 0.8570249500370534355 D2(5,571) = 0.03762116873963879060 C1(5,571) = 0.9527064541061918499 C2(5,571) = 1.995288513364820589 C3(5,571) = 1.573620013750716578 C4(5,571) = 4568 Sum = 5595.948702019653444 Averaged sum = 0.5590916876830505989 logp*logq = 10.21572883899550336 -------------- ************************************* p = 5; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27793.35896511887897 -------------- Searches starting with [5,577]-exponents: u = 79, v = 1 n_start has 58 digits starting right neighbors generation We generated 623 left neighbors We generated 9387 right neighbors We generated 10009 non-negative rho_i D1(5,577) = 0.9249591020975628381 D2(5,577) = 0.01985947417344236339 C1(5,577) = 1.025698182375392828 C2(5,577) = 1.942708313924797920 C3(5,577) = 1.629241183331594207 C4(5,577) = 4616 Sum = 4331.158024118694816 Averaged sum = 0.4327263486980412445 logp*logq = 10.23255238499408500 -------------- ************************************* p = 5; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28572.68977825965574 -------------- Searches starting with [5,587]-exponents: u = 99, v = 1 n_start has 72 digits starting right neighbors generation We generated 938 left neighbors We generated 9072 right neighbors We generated 10009 non-negative rho_i D1(5,587) = 0.7496023334708175295 D2(5,587) = 0.01082865035464249467 C1(5,587) = 0.8265721991258470299 C2(5,587) = 1.847550519821179587 C3(5,587) = 1.481941877462322177 C4(5,587) = 4696 Sum = 6003.061461981308378 Averaged sum = 0.5997663564773012666 logp*logq = 10.26020663773970841 -------------- ************************************* p = 5; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29044.19585912625935 -------------- Searches starting with [5,593]-exponents: u = 119, v = 1 n_start has 86 digits starting right neighbors generation We generated 1317 left neighbors We generated 8693 right neighbors We generated 10009 non-negative rho_i D1(5,593) = 0.7394669868491015218 D2(5,593) = 0.01263427387713432506 C1(5,593) = 0.8125956423386706399 C2(5,593) = 1.783497103802302513 C3(5,593) = 1.472117842954299739 C4(5,593) = 4744 Sum = 6027.632443415664996 Averaged sum = 0.6022212452208677186 logp*logq = 10.27657394400880943 -------------- ************************************* p = 5; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29518.61841445721305 -------------- Searches starting with [5,599]-exponents: u = 147, v = 1 n_start has 106 digits starting right neighbors generation We generated 1973 left neighbors We generated 8037 right neighbors We generated 10009 non-negative rho_i D1(5,599) = 0.9574801189237755661 D2(5,599) = 0.007502299937545455469 C1(5,599) = 1.048296731510588144 C2(5,599) = 1.710722394668906910 C3(5,599) = 1.646857102565851092 C4(5,599) = 4792 Sum = 6430.835911083158003 Averaged sum = 0.6425053363056407236 logp*logq = 10.29277647594089739 -------------- ************************************* p = 5; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29677.40538893563090 -------------- Searches starting with [5,601]-exponents: u = 163, v = 1 n_start has 117 digits starting right neighbors generation We generated 2435 left neighbors We generated 7575 right neighbors We generated 10009 non-negative rho_i D1(5,601) = 0.9904260161080919574 D2(5,601) = 0.009386757314951383717 C1(5,601) = 1.082956835537124373 C2(5,601) = 1.684605807815755561 C3(5,601) = 1.674245989859660154 C4(5,601) = 4808 Sum = 5575.220820373603355 Averaged sum = 0.5570207633503450249 logp*logq = 10.29814127394975364 -------------- ************************************* p = 5; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30155.69880111556889 -------------- Searches starting with [5,607]-exponents: u = 219, v = 1 n_start has 156 digits starting right neighbors generation We generated 4303 left neighbors We generated 5707 right neighbors We generated 10009 non-negative rho_i D1(5,607) = 1.044683854290298055 D2(5,607) = 0.007119653093646805326 C1(5,607) = 1.136935246745631816 C2(5,607) = 1.595610023139083849 C3(5,607) = 1.717810345026063802 C4(5,607) = 4856 Sum = 5988.186609496250581 Averaged sum = 0.5982802087617394925 logp*logq = 10.31412919925662790 -------------- ************************************* p = 5; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30636.88222852387894 -------------- Searches starting with [5,613]-exponents: u = 331, v = 1 n_start has 235 digits --- performed 5000 steps in the continued fraction search [5,613]-exponents: u = 144, v = 31 --- starting right neighbors generation We generated 9623 left neighbors We generated 387 right neighbors We generated 10009 non-negative rho_i D1(5,613) = 1.271811152973627176 D2(5,613) = 0.005005392711981059264 C1(5,613) = 1.376124061713702513 C2(5,613) = 1.484494682047706355 C3(5,613) = 1.924905340333890886 C4(5,613) = 4904 Sum = 6432.626906633286191 Averaged sum = 0.6426842748159942243 logp*logq = 10.32995986373340446 -------------- ************************************* p = 5; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30959.27126569219998 -------------- Searches starting with [5,617]-exponents: u = 495, v = 1 n_start has 349 digits --- performed 5000 steps in the continued fraction search [5,617]-exponents: u = 333, v = 31 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,617) = 0.6689014568833162140 D2(5,617) = 0.1721677961331084190 C1(5,617) = 0.7217743521319662306 C2(5,617) = 1.480170918051180665 C3(5,617) = 1.409847558761212715 C4(5,617) = 4936 Sum = 6555.461064222506733 Averaged sum = 0.6556116675890095742 logp*logq = 10.34042778949680350 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,617) = 0.6689014568833162140 D2(5,617) = 0.1721677961331084190 C1(5,617) = 0.7217743521319662306 C2(5,617) = 1.480170918051180665 C3(5,617) = 1.409847558761212715 C4(5,617) = 4936 Sum = 6555.461064222506733 Averaged sum = 0.6556116675890095742 logp*logq = 10.34042778949680350 -------------- ************************************* p = 5; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31120.94458985526393 -------------- Searches starting with [5,619]-exponents: u = 663, v = 1 n_start has 467 digits --- performed 5000 steps in the continued fraction search [5,619]-exponents: u = 57, v = 145 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,619) = 0.6894034706812245892 D2(5,619) = 0.2616689587281326659 C1(5,619) = 0.7399018745691884923 C2(5,619) = 1.497734237342129375 C3(5,619) = 1.422062382717775212 C4(5,619) = 4952 Sum = 6671.794900369313430 Averaged sum = 0.6672462146583971827 logp*logq = 10.34563633097612989 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,619) = 0.6894034706812245892 D2(5,619) = 0.2616689587281326659 C1(5,619) = 0.7399018745691884923 C2(5,619) = 1.497734237342129375 C3(5,619) = 1.422062382717775212 C4(5,619) = 4952 Sum = 6671.794900369313430 Averaged sum = 0.6672462146583971827 logp*logq = 10.34563633097612989 -------------- ************************************* p = 5; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32097.66253468012912 -------------- Searches starting with [5,631]-exponents: u = 4, v = 168 n_start has 474 digits --- performed 5000 steps in the continued fraction search [5,631]-exponents: u = 230, v = 104 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,631) = 0.7785168219443673738 D2(5,631) = 0.2664488224594425543 C1(5,631) = 0.8354116608653227835 C2(5,631) = 1.502391478415061960 C3(5,631) = 1.488188895608070898 C4(5,631) = 5048 Sum = 6671.452817250336899 Averaged sum = 0.6672120029253262225 logp*logq = 10.37653848823246701 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(5,631) = 0.7785168219443673738 D2(5,631) = 0.2664488224594425543 C1(5,631) = 0.8354116608653227835 C2(5,631) = 1.502391478415061960 C3(5,631) = 1.488188895608070898 C4(5,631) = 5048 Sum = 6671.452817250336899 Averaged sum = 0.6672120029253262225 logp*logq = 10.37653848823246701 -------------- ************************************* p = 5; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32920.29570047092138 -------------- Searches starting with [5,641]-exponents: u = 4, v = 63 n_start has 180 digits --- performed 5000 steps in the continued fraction search [5,641]-exponents: u = 67, v = 23 --- starting right neighbors generation We generated 5572 left neighbors We generated 4438 right neighbors We generated 10009 non-negative rho_i D1(5,641) = 0.7937493259060083042 D2(5,641) = 0.006975398559897530908 C1(5,641) = 0.8618207288694460460 C2(5,641) = 1.560997916329407308 C3(5,641) = 1.507009997300093326 C4(5,641) = 5128 Sum = 6256.916098729194407 Averaged sum = 0.6251289937785187737 logp*logq = 10.40184463714650065 -------------- ************************************* p = 5; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33085.76692010192249 -------------- Searches starting with [5,643]-exponents: u = 4, v = 56 n_start has 161 digits starting right neighbors generation We generated 4425 left neighbors We generated 5585 right neighbors We generated 10009 non-negative rho_i D1(5,643) = 0.7969531354979668673 D2(5,643) = 0.007761300115488326974 C1(5,643) = 0.8667502357018971566 C2(5,643) = 1.594548997279840745 C3(5,643) = 1.510549409296587676 C4(5,643) = 5144 Sum = 6214.368996580148732 Averaged sum = 0.6208781093595912410 logp*logq = 10.40685846647376579 -------------- ************************************* p = 5; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33417.65087789645806 -------------- Searches starting with [5,647]-exponents: u = 4, v = 46 n_start has 133 digits starting right neighbors generation We generated 3047 left neighbors We generated 6963 right neighbors We generated 10009 non-negative rho_i D1(5,647) = 0.7162928197170593803 D2(5,647) = 0.006906801927373576295 C1(5,647) = 0.7813232388091217859 C2(5,647) = 1.654450114576535032 C3(5,647) = 1.450371899339526522 C4(5,647) = 5176 Sum = 6117.665572618745801 Averaged sum = 0.6112164624456734739 logp*logq = 10.41683950877211444 -------------- ************************************* p = 5; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33917.82492658696939 -------------- Searches starting with [5,653]-exponents: u = 4, v = 36 n_start has 105 digits starting right neighbors generation We generated 1925 left neighbors We generated 8085 right neighbors We generated 10009 non-negative rho_i D1(5,653) = 0.8044211444443725785 D2(5,653) = 0.001637941770305632060 C1(5,653) = 0.8809231548896284849 C2(5,653) = 1.731715299430508448 C3(5,653) = 1.520772016406155457 C4(5,653) = 5224 Sum = 6129.110700057528760 Averaged sum = 0.6123599460543040024 logp*logq = 10.43169596422326834 -------------- ************************************* p = 5; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34420.80770200528536 -------------- Searches starting with [5,659]-exponents: u = 4, v = 30 n_start has 88 digits starting right neighbors generation We generated 1331 left neighbors We generated 8679 right neighbors We generated 10009 non-negative rho_i D1(5,659) = 0.7375210281067213144 D2(5,659) = 0.01579677463004471666 C1(5,659) = 0.8107066290989734323 C2(5,659) = 1.800786240801146005 C3(5,659) = 1.470795072762718339 C4(5,659) = 5272 Sum = 5621.750316825552491 Averaged sum = 0.5616695291063595255 logp*logq = 10.44641653555660070 -------------- ************************************* p = 5; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34589.09105386831652 -------------- Searches starting with [5,661]-exponents: u = 4, v = 28 n_start has 82 digits starting right neighbors generation We generated 1157 left neighbors We generated 8853 right neighbors We generated 10009 non-negative rho_i D1(5,661) = 0.8051952339378528694 D2(5,661) = 0.01534031063003895376 C1(5,661) = 0.8856585549728079000 C2(5,661) = 1.821416767685546051 C3(5,661) = 1.524202949398092353 C4(5,661) = 5288 Sum = 6013.111922116278329 Averaged sum = 0.6007704987627413656 logp*logq = 10.45129362387182134 -------------- ************************************* p = 5; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35605.30097851517299 -------------- Searches starting with [5,673]-exponents: u = 4, v = 21 n_start has 63 digits starting right neighbors generation We generated 670 left neighbors We generated 9340 right neighbors We generated 10009 non-negative rho_i D1(5,673) = 0.8026810572018823856 D2(5,673) = 0.02079115348410575170 C1(5,673) = 0.8877812612931469597 C2(5,673) = 1.932481519725609745 C3(5,673) = 1.525743422413648291 C4(5,673) = 5384 Sum = 5724.947159906593661 Averaged sum = 0.5719799340500143531 logp*logq = 10.48024980964591351 -------------- ************************************* p = 5; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35946.50885861622728 -------------- Searches starting with [5,677]-exponents: u = 4, v = 20 n_start has 60 digits starting right neighbors generation We generated 633 left neighbors We generated 9377 right neighbors We generated 10009 non-negative rho_i D1(5,677) = 0.9240202305074509054 D2(5,677) = 0.01977643034611209256 C1(5,677) = 1.024086433645300042 C2(5,677) = 1.965120841547495881 C3(5,677) = 1.627992022997813201 C4(5,677) = 5416 Sum = 4323.754238872761611 Averaged sum = 0.4319866359149527036 logp*logq = 10.48978724740763757 -------------- ************************************* p = 5; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36460.62763027920287 -------------- Searches starting with [5,683]-exponents: u = 4, v = 18 n_start has 54 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(5,683) = 0.9256378364735511593 D2(5,683) = 0.02848333064292674148 C1(5,683) = 1.028309287678022547 C2(5,683) = 2.011941284455302126 C3(5,683) = 1.631266913658635387 C4(5,683) = 5464 Sum = 4372.385269377284821 Averaged sum = 0.4368453661082310741 logp*logq = 10.50398826229949944 -------------- ************************************* p = 5; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37150.41084490155795 -------------- Searches starting with [5,691]-exponents: u = 4, v = 16 n_start has 49 digits starting right neighbors generation We generated 409 left neighbors We generated 9601 right neighbors We generated 10009 non-negative rho_i D1(5,691) = 1.233172261439081829 D2(5,691) = 0.04318423293502100738 C1(5,691) = 1.373756369896379016 C2(5,691) = 2.070141407577396308 C3(5,691) = 1.922737676584260098 C4(5,691) = 5528 Sum = 4036.492424709786092 Averaged sum = 0.4032862848146454283 logp*logq = 10.52273010916689556 -------------- ************************************* p = 5; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38019.50570042204634 -------------- Searches starting with [5,701]-exponents: u = 4, v = 14 n_start has 43 digits starting right neighbors generation We generated 351 left neighbors We generated 9659 right neighbors We generated 10009 non-negative rho_i D1(5,701) = 1.296509512408381098 D2(5,701) = 0.0008700483673167159778 C1(5,701) = 1.449115582529816660 C2(5,701) = 2.133585110730860065 C3(5,701) = 1.992942843552643809 C4(5,701) = 5608 Sum = 3839.820785525541917 Averaged sum = 0.3836368054276692894 logp*logq = 10.54585461491692868 -------------- ************************************* p = 5; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38720.24760552666023 -------------- Searches starting with [5,709]-exponents: u = 4, v = 12 n_start has 38 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(5,709) = 0.8669339026842215605 D2(5,709) = 0.04804310540578596518 C1(5,709) = 0.9442284006813389663 C2(5,709) = 2.182726163733737966 C3(5,709) = 1.567283910757673059 C4(5,709) = 5672 Sum = 5786.960744402514351 Averaged sum = 0.5781757162955854083 logp*logq = 10.56411793614090003 -------------- ************************************* p = 5; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39602.97227405353249 -------------- Searches starting with [5,719]-exponents: u = 4, v = 11 n_start has 35 digits starting right neighbors generation We generated 212 left neighbors We generated 9798 right neighbors We generated 10009 non-negative rho_i D1(5,719) = 1.118091111265466073 D2(5,719) = 0.03394974157456303370 C1(5,719) = 1.235204969986735602 C2(5,719) = 2.237196325199346052 C3(5,719) = 1.800051924391390509 C4(5,719) = 5752 Sum = 5917.722848954481353 Averaged sum = 0.5912401687435789143 logp*logq = 10.58665945185149854 -------------- ************************************* p = 5; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40314.56411916439797 -------------- Searches starting with [5,727]-exponents: u = 4, v = 10 n_start has 32 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(5,727) = 0.8736865620079323710 D2(5,727) = 0.07820092262262898975 C1(5,727) = 0.9589701511459200303 C2(5,727) = 2.283409717125041704 C3(5,727) = 1.578317657289269192 C4(5,727) = 5816 Sum = 5973.127322203840393 Averaged sum = 0.5967756341496493548 logp*logq = 10.60446807518331777 -------------- ************************************* p = 5; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40851.40143148771172 -------------- Searches starting with [5,733]-exponents: u = 4, v = 10 n_start has 32 digits starting right neighbors generation We generated 191 left neighbors We generated 9819 right neighbors We generated 10009 non-negative rho_i D1(5,733) = 0.9928632848607472162 D2(5,733) = 0.02156861009804948489 C1(5,733) = 1.120104285690014469 C2(5,733) = 2.308798574875172135 C3(5,733) = 1.704106323296756328 C4(5,733) = 5864 Sum = 5147.322778893329298 Averaged sum = 0.5142694353974752021 logp*logq = 10.61769640646805026 -------------- ************************************* p = 5; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41390.92351033190407 -------------- Searches starting with [5,739]-exponents: u = 4, v = 9 n_start has 29 digits starting right neighbors generation We generated 146 left neighbors We generated 9864 right neighbors We generated 10009 non-negative rho_i D1(5,739) = 0.9206591215472070664 D2(5,739) = 0.04919444599634138306 C1(5,739) = 1.003587810996341062 C2(5,739) = 2.337909289799188462 C3(5,739) = 1.612188190483137349 C4(5,739) = 5912 Sum = 5968.912120278888060 Averaged sum = 0.5963544929842030233 logp*logq = 10.63081689689617723 -------------- ************************************* p = 5; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41752.09221455711168 -------------- Searches starting with [5,743]-exponents: u = 4, v = 9 n_start has 29 digits starting right neighbors generation We generated 146 left neighbors We generated 9864 right neighbors We generated 10009 non-negative rho_i D1(5,743) = 0.8145142750559403964 D2(5,743) = 0.06838556677195062171 C1(5,743) = 0.8962046157168441700 C2(5,743) = 2.358083575189261919 C3(5,743) = 1.531871712695221244 C4(5,743) = 5944 Sum = 5272.413670949323694 Averaged sum = 0.5267672765460409325 logp*logq = 10.63950484194691457 -------------- ************************************* p = 5; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42477.98792462904513 -------------- Searches starting with [5,751]-exponents: u = 4, v = 8 n_start has 26 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(5,751) = 0.8473128639084633716 D2(5,751) = 0.001089826499213234418 C1(5,751) = 0.9284480910153334203 C2(5,751) = 2.394138984835564411 C3(5,751) = 1.555558298275040708 C4(5,751) = 6008 Sum = 5535.624153598354791 Averaged sum = 0.5530646571683839335 logp*logq = 10.65674128955462281 -------------- ************************************* p = 5; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43025.51347631990446 -------------- Searches starting with [5,757]-exponents: u = 4, v = 8 n_start has 26 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(5,757) = 1.351010516776895437 D2(5,757) = 0.02346907211697043089 C1(5,757) = 1.475770705808253246 C2(5,757) = 2.418016470770600953 C3(5,757) = 2.018383887364292075 C4(5,757) = 6056 Sum = 6671.417633916079951 Averaged sum = 0.6665418757034748677 logp*logq = 10.66954855537970345 -------------- ************************************* p = 5; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43392.00390278469454 -------------- Searches starting with [5,761]-exponents: u = 4, v = 8 n_start has 26 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(5,761) = 0.8441920116127806262 D2(5,761) = 0.03882121963006887783 C1(5,761) = 0.9591103197857640978 C2(5,761) = 2.434360785036619351 C3(5,761) = 1.578422941142397668 C4(5,761) = 6088 Sum = 5818.595114381115007 Averaged sum = 0.5813363087602272961 logp*logq = 10.67803046124255726 -------------- ************************************* p = 5; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44128.51000360629625 -------------- Searches starting with [5,769]-exponents: u = 4, v = 7 n_start has 23 digits starting right neighbors generation We generated 92 left neighbors We generated 9918 right neighbors We generated 10009 non-negative rho_i D1(5,769) = 0.8590761898045760302 D2(5,769) = 0.07071162478235096533 C1(5,769) = 0.9433348674498808393 C2(5,769) = 2.468219791258249294 C3(5,769) = 1.566617613441226271 C4(5,769) = 6152 Sum = 5415.849455779382052 Averaged sum = 0.5410979574162635680 logp*logq = 10.69486133789585579 -------------- ************************************* p = 5; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44498.52088500811334 -------------- Searches starting with [5,773]-exponents: u = 4, v = 7 n_start has 24 digits starting right neighbors generation We generated 92 left neighbors We generated 9918 right neighbors We generated 10009 non-negative rho_i D1(5,773) = 1.050046740964111875 D2(5,773) = 0.08732713429891754938 C1(5,773) = 1.142771809290000350 C2(5,773) = 2.485811844624720718 C3(5,773) = 1.722588251479118215 C4(5,773) = 6184 Sum = 5956.878473082894618 Averaged sum = 0.5951522103190023597 logp*logq = 10.70321122906277558 -------------- ************************************* p = 5; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45802.74724263575751 -------------- Searches starting with [5,787]-exponents: u = 4, v = 6 n_start has 21 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(5,787) = 1.442885660631327709 D2(5,787) = 0.003264624078460709628 C1(5,787) = 1.646802295977813580 C2(5,787) = 2.538801617260115693 C3(5,787) = 2.189533490118499103 C4(5,787) = 6296 Sum = 5289.794231118809137 Averaged sum = 0.5285037697191336934 logp*logq = 10.73209935176700313 -------------- ************************************* p = 5; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46743.04751999806195 -------------- Searches starting with [5,797]-exponents: u = 4, v = 6 n_start has 21 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(5,797) = 0.8025898396450555473 D2(5,797) = 0.03348582619593191744 C1(5,797) = 0.8734031204670461144 C2(5,797) = 2.571504104666817966 C3(5,797) = 1.515339399436807013 C4(5,797) = 6376 Sum = 5838.913188822778850 Averaged sum = 0.5833662892219781047 logp*logq = 10.75242080750771590 -------------- ************************************* p = 5; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47880.93230340589839 -------------- Searches starting with [5,809]-exponents: u = 4, v = 6 n_start has 21 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(5,809) = 0.8404897205846417832 D2(5,809) = 0.07152460765618048590 C1(5,809) = 0.9266100440972152038 C2(5,809) = 2.612479116836767519 C3(5,809) = 1.554198247970369960 C4(5,809) = 6472 Sum = 4999.784546178319135 Averaged sum = 0.4995288786270675527 logp*logq = 10.77647263114912887 -------------- ************************************* p = 5; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48071.58600215030702 -------------- Searches starting with [5,811]-exponents: u = 4, v = 6 n_start has 21 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(5,811) = 0.8253450967767857708 D2(5,811) = 0.07808027019638505809 C1(5,811) = 0.9474094542302866301 C2(5,811) = 2.619519856999715310 C3(5,811) = 1.569658286404982795 C4(5,811) = 6488 Sum = 5806.802865084520130 Averaged sum = 0.5801581441786911909 logp*logq = 10.78044655393953385 -------------- ************************************* p = 5; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49029.15031612035728 -------------- Searches starting with [5,821]-exponents: u = 4, v = 5 n_start has 18 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(5,821) = 1.179470029221076863 D2(5,821) = 0.1119280202801611501 C1(5,821) = 1.281424345307883023 C2(5,821) = 2.655774954371521470 C3(5,821) = 1.840082888269626128 C4(5,821) = 6568 Sum = 5811.174383442626619 Averaged sum = 0.5805949029316242002 logp*logq = 10.80017030461790414 -------------- ************************************* p = 5; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49221.52042604443698 -------------- Searches starting with [5,823]-exponents: u = 4, v = 5 n_start has 18 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(5,823) = 0.8536804994520878440 D2(5,823) = 0.1189311118077704476 C1(5,823) = 0.9798903200838721237 C2(5,823) = 2.663255948499384337 C3(5,823) = 1.594109224663712439 C4(5,823) = 6584 Sum = 5818.032457916700975 Averaged sum = 0.5812800937073334974 logp*logq = 10.80408621387925303 -------------- ************************************* p = 5; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49607.11571895019065 -------------- Searches starting with [5,827]-exponents: u = 4, v = 5 n_start has 18 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(5,827) = 1.123426104129440648 D2(5,827) = 0.1331960171861919172 C1(5,827) = 1.240555999546570393 C2(5,827) = 2.678473138653822398 C3(5,827) = 1.804641552239691130 C4(5,827) = 6616 Sum = 6386.438096626081457 Averaged sum = 0.6380695470702449252 logp*logq = 10.81188956449892807 -------------- ************************************* p = 5; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49800.34036253851035 -------------- Searches starting with [5,829]-exponents: u = 4, v = 5 n_start has 18 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(5,829) = 0.8506792653111462014 D2(5,829) = 0.1404649076141109093 C1(5,829) = 0.9246568739380706785 C2(5,829) = 2.686216422675475508 C3(5,829) = 1.552754316147790001 C4(5,829) = 6632 Sum = 5607.877346044813224 Averaged sum = 0.5602834794729556623 logp*logq = 10.81577709757851531 -------------- ************************************* p = 5; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50770.72284513483883 -------------- Searches starting with [5,839]-exponents: u = 4, v = 5 n_start has 18 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(5,839) = 0.9044587895994258386 D2(5,839) = 0.1783344654622675105 C1(5,839) = 1.016879442851721843 C2(5,839) = 2.726440685206339035 C3(5,839) = 1.622418064705257730 C4(5,839) = 6712 Sum = 5504.397864834924720 Averaged sum = 0.5499448361309745948 logp*logq = 10.83507514548308040 -------------- ************************************* p = 5; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52141.13615065440926 -------------- Searches starting with [5,853]-exponents: u = 4, v = 5 n_start has 18 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(5,853) = 0.8196261101814301099 D2(5,853) = 0.01047554457409628127 C1(5,853) = 0.9478085270512209069 C2(5,853) = 2.750574300208385637 C3(5,853) = 1.569956412862337530 C4(5,853) = 6824 Sum = 5787.955475727377755 Averaged sum = 0.5782750999827532976 logp*logq = 10.86170947763471193 -------------- ************************************* p = 5; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52535.21709284802119 -------------- Searches starting with [5,857]-exponents: u = 4, v = 5 n_start has 18 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(5,857) = 0.9825324872996037842 D2(5,857) = 0.01939941458230732499 C1(5,857) = 1.136157063250509479 C2(5,857) = 2.760474168912195440 C3(5,857) = 1.717174313228500776 C4(5,857) = 6856 Sum = 5480.194890217542332 Averaged sum = 0.5475267149782737868 logp*logq = 10.86923902546130660 -------------- ************************************* p = 5; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52732.67865506418275 -------------- Searches starting with [5,859]-exponents: u = 4, v = 5 n_start has 18 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(5,859) = 1.118032988972780140 D2(5,859) = 0.02389436648344957737 C1(5,859) = 1.292824024980884480 C2(5,859) = 2.765455386082945284 C3(5,859) = 1.850092346898431102 C4(5,859) = 6872 Sum = 5491.466220506784681 Averaged sum = 0.5486528344996288022 logp*logq = 10.87299063068551268 -------------- ************************************* p = 5; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53128.44268482573332 -------------- Searches starting with [5,863]-exponents: u = 4, v = 4 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(5,863) = 1.576714782512442294 D2(5,863) = 0.03295306351936429484 C1(5,863) = 1.823168839677871325 C2(5,863) = 2.775483172569494042 C3(5,863) = 2.381233652436163445 C4(5,863) = 6904 Sum = 4662.717228124707823 Averaged sum = 0.4658524556024285966 logp*logq = 10.88046770760613584 -------------- ************************************* p = 5; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54522.41973787880186 -------------- Searches starting with [5,877]-exponents: u = 4, v = 4 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(5,877) = 1.352535482268011572 D2(5,877) = 0.06544379867036761760 C1(5,877) = 1.499420244187279521 C2(5,877) = 2.811330146007911053 C3(5,877) = 2.041228017072254165 C4(5,877) = 7016 Sum = 5397.900359984346117 Averaged sum = 0.5393046618028120808 logp*logq = 10.90636726739857042 -------------- ************************************* p = 5; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54923.20575749110454 -------------- Searches starting with [5,881]-exponents: u = 4, v = 4 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(5,881) = 0.9288656765644996388 D2(5,881) = 0.07497279065783227114 C1(5,881) = 1.005664407915272963 C2(5,881) = 2.821808070330291151 C3(5,881) = 1.613782176692717020 C4(5,881) = 7048 Sum = 5522.432089571195224 Averaged sum = 0.5517466369838340717 logp*logq = 10.91369122958206145 -------------- ************************************* p = 5; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55124.01533696672489 -------------- Searches starting with [5,883]-exponents: u = 4, v = 4 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(5,883) = 1.016624747219248344 D2(5,883) = 0.07978183737018299656 C1(5,883) = 1.135273924507108297 C2(5,883) = 2.827089943154593052 C3(5,883) = 1.716452783756932262 C4(5,883) = 7064 Sum = 5199.654284602435894 Averaged sum = 0.5194978803679124682 logp*logq = 10.91734075022166255 -------------- ************************************* p = 5; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55526.46640640587330 -------------- Searches starting with [5,887]-exponents: u = 4, v = 4 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(5,887) = 1.050263665265499238 D2(5,887) = 0.08949292949952999097 C1(5,887) = 1.159517500488247527 C2(5,887) = 2.837743432302804444 C3(5,887) = 1.736370439531888943 C4(5,887) = 7096 Sum = 5576.891614391955006 Averaged sum = 0.5571876925159311625 logp*logq = 10.92461505825461260 -------------- ************************************* p = 5; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57555.29680861924840 -------------- Searches starting with [5,907]-exponents: u = 4, v = 4 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(5,907) = 0.9712950154008238946 D2(5,907) = 0.1401373723251087735 C1(5,907) = 1.086639735317955673 C2(5,907) = 2.893036018744818407 C3(5,907) = 1.677182907825027548 C4(5,907) = 7256 Sum = 4696.315589900537817 Averaged sum = 0.4692092706464719569 logp*logq = 10.96050144829215500 -------------- ************************************* p = 5; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57964.36445517939261 -------------- Searches starting with [5,911]-exponents: u = 4, v = 4 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(5,911) = 0.9054898894449601233 D2(5,911) = 0.1507400205576061867 C1(5,911) = 0.9868963200352650850 C2(5,911) = 2.904555792567927104 C3(5,911) = 1.599432934756326777 C4(5,911) = 7288 Sum = 5807.210782584211638 Averaged sum = 0.5801988992490969765 logp*logq = 10.96758369475869347 -------------- ************************************* p = 5; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58785.78616074411323 -------------- Searches starting with [5,919]-exponents: u = 4, v = 4 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(5,919) = 0.8058813706340448114 D2(5,919) = 0.1482193174664835716 C1(5,919) = 0.9413602284414988754 C2(5,919) = 1.897895019718992178 C3(5,919) = 1.565146152660247036 C4(5,919) = 7352 Sum = 5654.818583214360133 Averaged sum = 0.5649733822773863655 logp*logq = 10.98165537270470455 -------------- ************************************* p = 5; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59818.70609305183069 -------------- Searches starting with [5,929]-exponents: u = 4, v = 4 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(5,929) = 1.123647786468647295 D2(5,929) = 0.1174211811195483459 C1(5,929) = 1.312441499175598945 C2(5,929) = 1.569627125335737536 C3(5,929) = 1.867445056488398426 C4(5,929) = 7432 Sum = 5763.635970189626203 Averaged sum = 0.5758453362163678892 logp*logq = 10.99907370194418678 -------------- ************************************* p = 5; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60649.93830935792257 -------------- Searches starting with [5,937]-exponents: u = 4, v = 3 n_start has 12 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(5,937) = 1.381514810505734141 D2(5,937) = 0.1039436745655529731 C1(5,937) = 1.613563050191284120 C2(5,937) = 1.381402527959084842 C3(5,937) = 2.155171805699214704 C4(5,937) = 7496 Sum = 5394.923794339411851 Averaged sum = 0.5390072728883416776 logp*logq = 11.01287389721352427 -------------- ************************************* p = 5; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61067.18149596366292 -------------- Searches starting with [5,941]-exponents: u = 4, v = 3 n_start has 12 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(5,941) = 1.203594593863376933 D2(5,941) = 0.1280396796463367265 C1(5,941) = 1.307255346019997178 C2(5,941) = 1.620717386115392251 C3(5,941) = 1.862841861509378979 C4(5,941) = 7528 Sum = 6340.546466679394516 Averaged sum = 0.6334845106083918989 logp*logq = 11.01972987312927853 -------------- ************************************* p = 5; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61695.07505147521570 -------------- Searches starting with [5,947]-exponents: u = 4, v = 3 n_start has 12 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(5,947) = 0.9401068539983460609 D2(5,947) = 0.1555226206955843487 C1(5,947) = 1.031731038823974511 C2(5,947) = 1.835300675254020829 C3(5,947) = 1.633925367368461093 C4(5,947) = 7576 Sum = 6179.962682567486767 Averaged sum = 0.6174405717421807141 logp*logq = 11.02995938582391490 -------------- ************************************* p = 5; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62325.39777483250587 -------------- Searches starting with [5,953]-exponents: u = 4, v = 3 n_start has 12 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(5,953) = 0.7589957883578272449 D2(5,953) = 0.1754128195195541840 C1(5,953) = 0.8864816721701810893 C2(5,953) = 2.607447218531825558 C3(5,953) = 1.524800110548728628 C4(5,953) = 7624 Sum = 5604.596202193726198 Averaged sum = 0.5599556601252598859 logp*logq = 11.04012429063906162 -------------- ************************************* p = 5; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63805.56403945277621 -------------- Searches starting with [5,967]-exponents: u = 4, v = 3 n_start has 12 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(5,967) = 1.223834492235148167 D2(5,967) = 0.1640081818274648235 C1(5,967) = 1.329162660715107471 C2(5,967) = 2.599520837148422362 C3(5,967) = 1.882364250085487959 C4(5,967) = 7736 Sum = 5949.552416984097954 Averaged sum = 0.5944202634612946302 logp*logq = 11.06359567617998366 -------------- ************************************* p = 5; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64230.88136465836707 -------------- Searches starting with [5,971]-exponents: u = 4, v = 3 n_start has 12 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(5,971) = 0.9264494878547361117 D2(5,971) = 0.1608360529738149959 C1(5,971) = 1.040960269208348367 C2(5,971) = 2.597333061366823348 C3(5,971) = 1.641117435376119945 C4(5,971) = 7768 Sum = 5358.605505520968799 Averaged sum = 0.5353787097133548605 logp*logq = 11.07023939216700827 -------------- ************************************* p = 5; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64870.86142982789043 -------------- Searches starting with [5,977]-exponents: u = 4, v = 3 n_start has 12 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(5,977) = 1.062274675292020864 D2(5,977) = 0.1561465079326611259 C1(5,977) = 1.178653317166575169 C2(5,977) = 2.594112314516545780 C3(5,977) = 1.752254822082639526 C4(5,977) = 7816 Sum = 5695.416837947324045 Averaged sum = 0.5690295571932584719 logp*logq = 11.08015382544416502 -------------- ************************************* p = 5; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65513.24125314499281 -------------- Searches starting with [5,983]-exponents: u = 4, v = 3 n_start has 12 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(5,983) = 0.9327575347899102669 D2(5,983) = 0.1515368673137916664 C1(5,983) = 1.022978477061167032 C2(5,983) = 2.590962296465918918 C3(5,983) = 1.627133874317578354 C4(5,983) = 7864 Sum = 5400.170759434635884 Averaged sum = 0.5395314975956275236 logp*logq = 11.09000755772902887 -------------- ************************************* p = 5; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66373.47074203782901 -------------- Searches starting with [5,991]-exponents: u = 4, v = 3 n_start has 12 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(5,991) = 1.248742729961954164 D2(5,991) = 0.003864536081107931443 C1(5,991) = 1.423462942148609376 C2(5,991) = 3.073797521820839437 C3(5,991) = 1.968761481745877442 C4(5,991) = 7928 Sum = 4293.148061502854608 Averaged sum = 0.4289287702570541121 logp*logq = 11.10305271861084275 -------------- ************************************* p = 5; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67021.42779547095526 -------------- Searches starting with [5,997]-exponents: u = 4, v = 3 n_start has 12 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(5,997) = 0.8997571477982108826 D2(5,997) = 0.01221602778787876022 C1(5,997) = 0.9873141246789687075 C2(5,997) = 3.083532536389018306 C3(5,997) = 1.599750976762549236 C4(5,997) = 7976 Sum = 5318.612056788459315 Averaged sum = 0.5313829610139333915 logp*logq = 11.11276766508512830 -------------- ************************************* p = 7; q = 11; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106.2812357054533631 -------------- Searches starting with [7,11]-exponents: u = 1, v = 4 n_start has 6 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(7,11) = 0.9449585185702293777 D2(7,11) = 0.1106180239179659335 C1(7,11) = 1.171853712410551968 C2(7,11) = 2.379687800615829239 C3(7,11) = 2.181773220330078573 C4(7,11) = 88 Sum = 7069.372365830740806 Averaged sum = 0.7063015651744171052 logp*logq = 4.666088747710108385 -------------- ************************************* p = 7; q = 13; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147.1071137647123167 -------------- Searches starting with [7,13]-exponents: u = 1, v = 3 n_start has 5 digits starting right neighbors generation We generated 8 left neighbors We generated 10002 right neighbors We generated 10009 non-negative rho_i D1(7,13) = 1.484468215224662157 D2(7,13) = 0.03904523114589832646 C1(7,13) = 1.777958255892920670 C2(7,13) = 1.215435217827066768 C3(7,13) = 3.266241099673557694 C4(7,13) = 104 Sum = 7223.989521390787378 Averaged sum = 0.7217493776991495032 logp*logq = 4.991160986497309038 -------------- ************************************* p = 7; q = 17; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247.9379716676704570 -------------- Searches starting with [7,17]-exponents: u = 16, v = 2 n_start has 16 digits starting right neighbors generation We generated 112 left neighbors We generated 9898 right neighbors We generated 10009 non-negative rho_i D1(7,17) = 1.007851803204082573 D2(7,17) = 0.1071552119186176070 C1(7,17) = 1.249848383748494801 C2(7,17) = 1.737693232108997275 C3(7,17) = 2.298050897444107826 C4(7,17) = 136 Sum = 6757.481342676421645 Averaged sum = 0.6751405078106126131 logp*logq = 5.513178600637934091 -------------- ************************************* p = 7; q = 19; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307.8503206188070931 -------------- Searches starting with [7,19]-exponents: u = 3, v = 37 n_start has 50 digits starting right neighbors generation We generated 1085 left neighbors We generated 8925 right neighbors We generated 10009 non-negative rho_i D1(7,19) = 1.122164548963208418 D2(7,19) = 0.0008200705861993159690 C1(7,19) = 1.279608321380454726 C2(7,19) = 1.369979820514469236 C3(7,19) = 2.344034067222148216 C4(7,19) = 152 Sum = 7069.340141566785875 Averaged sum = 0.7062983456455975496 logp*logq = 5.729613692834042703 -------------- ************************************* p = 7; q = 23; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 446.4779509296517601 -------------- Searches starting with [7,23]-exponents: u = 3, v = 3 n_start has 7 digits starting right neighbors generation We generated 12 left neighbors We generated 9998 right neighbors We generated 10009 non-negative rho_i D1(7,23) = 1.212214114090611025 D2(7,23) = 0.2046538691255866128 C1(7,23) = 1.451874397385974849 C2(7,23) = 1.948583735132845485 C3(7,23) = 2.628875182794909952 C4(7,23) = 184 Sum = 5804.655119154067487 Averaged sum = 0.5799435627089686768 logp*logq = 6.101390017080764397 -------------- ************************************* p = 7; q = 29; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 700.9630186043296678 -------------- Searches starting with [7,29]-exponents: u = 5, v = 1 n_start has 6 digits starting right neighbors generation We generated 10 left neighbors We generated 10000 right neighbors We generated 10009 non-negative rho_i D1(7,29) = 0.9802464672874372161 D2(7,29) = 0.1288365465091071333 C1(7,29) = 1.103530373390701514 C2(7,29) = 2.017447042773133875 C3(7,29) = 2.084758594315800983 C4(7,29) = 232 Sum = 6105.428978627487685 Averaged sum = 0.6099939033497340079 logp*logq = 6.552455130442314604 -------------- ************************************* p = 7; q = 31; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 798.0973264107929450 -------------- Searches starting with [7,31]-exponents: u = 7, v = 1 n_start has 8 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(7,31) = 1.879957730687610443 D2(7,31) = 0.1050167901861520375 C1(7,31) = 2.247929289966596883 C2(7,31) = 2.348537765626371137 C3(7,31) = 4.466091049202472174 C4(7,31) = 248 Sum = 7710.675632620609211 Averaged sum = 0.7703742264582484974 logp*logq = 6.682230552933729582 -------------- ************************************* p = 7; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1126.106980622119036 -------------- Searches starting with [7,37]-exponents: u = 11, v = 1 n_start has 11 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(7,37) = 1.201805698118978139 D2(7,37) = 0.1114159980621268512 C1(7,37) = 1.513831229933195472 C2(7,37) = 2.028449614500800131 C3(7,37) = 2.739574394747675773 C4(7,37) = 296 Sum = 6475.763032409120328 Averaged sum = 0.6469940086331422047 logp*logq = 7.026521813620023577 -------------- ************************************* p = 7; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1375.094278384892002 -------------- Searches starting with [7,41]-exponents: u = 19, v = 1 n_start has 18 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(7,41) = 1.263125063849156200 D2(7,41) = 0.1113543682964366804 C1(7,41) = 1.415421715406104060 C2(7,41) = 1.796193499136408606 C3(7,41) = 2.565846466167336497 C4(7,41) = 328 Sum = 6236.028909971246498 Averaged sum = 0.6230421530593712157 logp*logq = 7.226277573848227482 -------------- ************************************* p = 7; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1508.630368931448872 -------------- Searches starting with [7,43]-exponents: u = 27, v = 1 n_start has 25 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(7,43) = 1.067834422569202961 D2(7,43) = 0.03001408807972948138 C1(7,43) = 1.278965061607508871 C2(7,43) = 1.625180588010200924 C3(7,43) = 2.343030479522700322 C4(7,43) = 344 Sum = 6019.232389245502469 Averaged sum = 0.6013819951289342061 logp*logq = 7.318957477756121703 -------------- ************************************* p = 7; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1793.709845598983072 -------------- Searches starting with [7,47]-exponents: u = 91, v = 1 n_start has 79 digits starting right neighbors generation We generated 1294 left neighbors We generated 8716 right neighbors We generated 10009 non-negative rho_i D1(7,47) = 0.8386029011844625813 D2(7,47) = 0.01664384717548119838 C1(7,47) = 0.9617753985830223119 C2(7,47) = 1.253814128111989602 C3(7,47) = 1.897016813118437702 C4(7,47) = 376 Sum = 6539.914628052632447 Averaged sum = 0.6534033997454923016 logp*logq = 7.492041293528577148 -------------- ************************************* p = 7; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2266.135709603980072 -------------- Searches starting with [7,53]-exponents: u = 2, v = 24 n_start has 44 digits starting right neighbors generation We generated 403 left neighbors We generated 9607 right neighbors We generated 10009 non-negative rho_i D1(7,53) = 0.8993321178854886424 D2(7,53) = 0.001332868274525682252 C1(7,53) = 1.051605452568447188 C2(7,53) = 1.448083433391617869 C3(7,53) = 2.013924082583323889 C4(7,53) = 424 Sum = 6163.657965785481134 Averaged sum = 0.6158115661689960169 logp*logq = 7.725831329293314486 -------------- ************************************* p = 7; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2792.022423666533378 -------------- Searches starting with [7,59]-exponents: u = 2, v = 10 n_start has 20 digits starting right neighbors generation We generated 87 left neighbors We generated 9923 right neighbors We generated 10009 non-negative rho_i D1(7,59) = 1.077471395956727885 D2(7,59) = 0.02834314204754168786 C1(7,59) = 1.267024483334927008 C2(7,59) = 1.830022687038529903 C3(7,59) = 2.324479096191148397 C4(7,59) = 472 Sum = 5354.622274363854820 Averaged sum = 0.5349807447660959956 logp*logq = 7.934521495249199751 -------------- ************************************* p = 7; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2979.143654024516414 -------------- Searches starting with [7,61]-exponents: u = 2, v = 8 n_start has 16 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10009 non-negative rho_i D1(7,61) = 1.011987638332476210 D2(7,61) = 0.03875145177697906163 C1(7,61) = 1.240795347896680366 C2(7,61) = 1.925277525610354491 C3(7,61) = 2.284242482602887513 C4(7,61) = 488 Sum = 6217.757743514450196 Averaged sum = 0.6212166793400389845 logp*logq = 7.999391173781079874 -------------- ************************************* p = 7; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3575.835169643226742 -------------- Searches starting with [7,67]-exponents: u = 2, v = 6 n_start has 13 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(7,67) = 0.8913429664585059122 D2(7,67) = 0.2077028519026614162 C1(7,67) = 1.015075139200187660 C2(7,67) = 1.511047491771851736 C3(7,67) = 1.965537569442353528 C4(7,67) = 536 Sum = 6313.893714551703459 Averaged sum = 0.6308216319863826015 logp*logq = 8.181954041730850500 -------------- ************************************* p = 7; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4002.970681799020808 -------------- Searches starting with [7,71]-exponents: u = 2, v = 5 n_start has 11 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(7,71) = 1.206297159815746353 D2(7,71) = 0.1721990696887763907 C1(7,71) = 1.416049888405494023 C2(7,71) = 1.536007291049902534 C3(7,71) = 2.566919710857018530 C4(7,71) = 568 Sum = 4888.651288359742114 Averaged sum = 0.4884255458447139688 logp*logq = 8.294792034908550683 -------------- ************************************* p = 7; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4225.312791917406720 -------------- Searches starting with [7,73]-exponents: u = 2, v = 4 n_start has 10 digits starting right neighbors generation We generated 15 left neighbors We generated 9995 right neighbors We generated 10009 non-negative rho_i D1(7,73) = 0.9883109579431750850 D2(7,73) = 0.1661593305652182179 C1(7,73) = 1.262696613683724636 C2(7,73) = 1.389556618675299931 C3(7,73) = 2.317791464780592119 C4(7,73) = 584 Sum = 5909.624616093859753 Averaged sum = 0.5904310736431071788 logp*logq = 8.348848570640842005 -------------- ************************************* p = 7; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4927.331890643840769 -------------- Searches starting with [7,79]-exponents: u = 2, v = 4 n_start has 10 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(7,79) = 1.217474305084950954 D2(7,79) = 0.08933521051944658331 C1(7,79) = 1.364588477330707753 C2(7,79) = 1.263583033701271768 C3(7,79) = 2.480467941658877308 C4(7,79) = 632 Sum = 5704.357794277176037 Averaged sum = 0.5699228488637402374 logp*logq = 8.502552921883520416 -------------- ************************************* p = 7; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5424.422850633418435 -------------- Searches starting with [7,83]-exponents: u = 2, v = 3 n_start has 8 digits starting right neighbors generation We generated 12 left neighbors We generated 9998 right neighbors We generated 10009 non-negative rho_i D1(7,83) = 1.652599446681726921 D2(7,83) = 0.1143925500977496080 C1(7,83) = 1.887113011699724698 C2(7,83) = 2.148419603815476656 C3(7,83) = 3.512427478718935183 C4(7,83) = 664 Sum = 6766.201793720670213 Averaged sum = 0.6760117687801648728 logp*logq = 8.598666785769149106 -------------- ************************************* p = 7; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6213.521399545336417 -------------- Searches starting with [7,89]-exponents: u = 2, v = 3 n_start has 8 digits starting right neighbors generation We generated 12 left neighbors We generated 9998 right neighbors We generated 10009 non-negative rho_i D1(7,89) = 0.9037435725607310498 D2(7,89) = 0.05141459225680694718 C1(7,89) = 1.080659183725828072 C2(7,89) = 1.715421901360608001 C3(7,89) = 2.053256426771475462 C4(7,89) = 712 Sum = 5936.815440131203636 Averaged sum = 0.5931477110731545245 logp*logq = 8.734483067280568636 -------------- ************************************* p = 7; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7346.479677761425745 -------------- Searches starting with [7,97]-exponents: u = 7, v = 2 n_start has 10 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10007 non-negative rho_i D1(7,97) = 0.9027650195748489490 D2(7,97) = 0.007395452611389136486 C1(7,97) = 1.025471684150583273 C2(7,97) = 2.394018673293894274 C3(7,97) = 1.979188812379707823 C4(7,97) = 776 Sum = 6225.418558522451508 Averaged sum = 0.6221063813852754580 logp*logq = 8.901976522064495848 -------------- ************************************* p = 7; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7947.477429528248188 -------------- Searches starting with [7,101]-exponents: u = 7, v = 2 n_start has 10 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,101) = 0.8157137723155415478 D2(7,101) = 0.1148346867110550345 C1(7,101) = 1.000231544052206742 C2(7,101) = 1.884120750866755973 C3(7,101) = 1.946210126008685357 C4(7,101) = 808 Sum = 5772.911100685357480 Averaged sum = 0.5767720152548064222 logp*logq = 8.980609852834809757 -------------- ************************************* p = 7; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8256.583625672605921 -------------- Searches starting with [7,103]-exponents: u = 7, v = 2 n_start has 10 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,103) = 0.9901183672575361947 D2(7,103) = 0.1576953967612015325 C1(7,103) = 1.125323870272786919 C2(7,103) = 2.127632120557322263 C3(7,103) = 2.115225967032902891 C4(7,103) = 824 Sum = 6149.611414178848254 Averaged sum = 0.6144081740612297186 logp*logq = 9.018766176316911968 -------------- ************************************* p = 7; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8891.980248165842884 -------------- Searches starting with [7,107]-exponents: u = 12, v = 2 n_start has 15 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(7,107) = 1.370905762266318644 D2(7,107) = 0.1158146793726738238 C1(7,107) = 1.738184280963222962 C2(7,107) = 1.145710718454099630 C3(7,107) = 3.180890191703797320 C4(7,107) = 856 Sum = 5860.438627066553014 Averaged sum = 0.5855168974989062857 logp*logq = 9.092905053777733783 -------------- ************************************* p = 7; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9218.258877323212558 -------------- Searches starting with [7,109]-exponents: u = 12, v = 2 n_start has 15 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(7,109) = 0.8020107689506007801 D2(7,109) = 0.1709875128803346110 C1(7,109) = 0.9458010249033518850 C2(7,109) = 2.246773304508945104 C3(7,109) = 1.876949658689083093 C4(7,109) = 872 Sum = 5931.868412406481594 Averaged sum = 0.5926534531328286137 logp*logq = 9.128941456778841427 -------------- ************************************* p = 7; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9887.948140100709602 -------------- Searches starting with [7,113]-exponents: u = 17, v = 2 n_start has 19 digits starting right neighbors generation We generated 92 left neighbors We generated 9918 right neighbors We generated 10009 non-negative rho_i D1(7,113) = 1.281088152663229287 D2(7,113) = 0.08731946223823449200 C1(7,113) = 1.582109808867049365 C2(7,113) = 2.173271786799766325 C3(7,113) = 2.866975563143236019 C4(7,113) = 904 Sum = 5453.712377679250311 Averaged sum = 0.5448808450074183546 logp*logq = 9.199071934952803069 -------------- ************************************* p = 7; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12411.17822737181785 -------------- Searches starting with [7,127]-exponents: u = 117, v = 2 n_start has 104 digits starting right neighbors generation We generated 2746 left neighbors We generated 7264 right neighbors We generated 10009 non-negative rho_i D1(7,127) = 0.9647064749423571251 D2(7,127) = 0.01327099805123226328 C1(7,127) = 1.099567962074134280 C2(7,127) = 1.573262557176964077 C3(7,127) = 2.079266466358915702 C4(7,127) = 1016 Sum = 5647.179872024798218 Averaged sum = 0.5642101980242579896 logp*logq = 9.426352815462461225 -------------- ************************************* p = 7; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13183.16544909149445 -------------- Searches starting with [7,131]-exponents: u = 5, v = 93 n_start has 202 digits --- performed 5000 steps in the continued fraction search [7,131]-exponents: u = 46, v = 52 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,131) = 0.9145162811561106915 D2(7,131) = 0.01735828517930032703 C1(7,131) = 1.026205397025479722 C2(7,131) = 1.381391458531315612 C3(7,131) = 1.980155792270850113 C4(7,131) = 1048 Sum = 6546.575475531982318 Averaged sum = 0.6547230198551837501 logp*logq = 9.486695949864417235 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,131) = 0.9145162811561106915 D2(7,131) = 0.01735828517930032703 C1(7,131) = 1.026205397025479722 C2(7,131) = 1.381391458531315612 C3(7,131) = 1.980155792270850113 C4(7,131) = 1048 Sum = 6546.575475531982318 Averaged sum = 0.6547230198551837501 logp*logq = 9.486695949864417235 -------------- ************************************* p = 7; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14383.55496615633675 -------------- Searches starting with [7,137]-exponents: u = 5, v = 17 n_start has 41 digits starting right neighbors generation We generated 401 left neighbors We generated 9609 right neighbors We generated 10009 non-negative rho_i D1(7,137) = 0.8904679886742490142 D2(7,137) = 0.05865374410661977025 C1(7,137) = 1.011503202082427051 C2(7,137) = 1.875177656314131178 C3(7,137) = 1.960869181950121044 C4(7,137) = 1096 Sum = 5820.449006039917410 Averaged sum = 0.5815215312258884414 logp*logq = 9.573840816727504908 -------------- ************************************* p = 7; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14794.97546833603866 -------------- Searches starting with [7,139]-exponents: u = 5, v = 13 n_start has 33 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(7,139) = 1.049700520270388246 D2(7,139) = 0.03933203121449237521 C1(7,139) = 1.213638922562179809 C2(7,139) = 1.976120020328826299 C3(7,139) = 2.243317080530184974 C4(7,139) = 1112 Sum = 5758.306958691314579 Averaged sum = 0.5753129142463097791 logp*logq = 9.602042906727902495 -------------- ************************************* p = 7; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16936.56040885054849 -------------- Searches starting with [7,149]-exponents: u = 5, v = 5 n_start has 16 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(7,149) = 1.881511919663129051 D2(7,149) = 0.08945748257346725116 C1(7,149) = 2.314874365326460379 C2(7,149) = 2.219789847029530188 C3(7,149) = 4.669634825230797178 C4(7,149) = 1192 Sum = 5414.262006206483177 Averaged sum = 0.5409393552009674470 logp*logq = 9.737229902067112791 -------------- ************************************* p = 7; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17381.74427983241486 -------------- Searches starting with [7,151]-exponents: u = 5, v = 5 n_start has 16 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(7,151) = 0.8424476961138932928 D2(7,151) = 0.1184168066736276535 C1(7,151) = 0.9865639887693268951 C2(7,151) = 2.251529610523324157 C3(7,151) = 1.928582076200637164 C4(7,151) = 1208 Sum = 5597.788796827182096 Averaged sum = 0.5592755317041844436 logp*logq = 9.763175755108747416 -------------- ************************************* p = 7; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18750.95622463985122 -------------- Searches starting with [7,157]-exponents: u = 5, v = 5 n_start has 16 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(7,157) = 1.285574686913809665 D2(7,157) = 0.1181160823660372642 C1(7,157) = 1.619324477484339985 C2(7,157) = 1.223767016281806966 C3(7,157) = 2.938891818058354309 C4(7,157) = 1256 Sum = 5806.851948576142943 Averaged sum = 0.5801630481143114140 logp*logq = 9.839000028745628796 -------------- ************************************* p = 7; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20170.57649818600561 -------------- Searches starting with [7,163]-exponents: u = 5, v = 3 n_start has 11 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(7,163) = 1.260905132626131704 D2(7,163) = 0.1546671935004179172 C1(7,163) = 1.447915633356549262 C2(7,163) = 2.196745556549351146 C3(7,163) = 2.621955990063361371 C4(7,163) = 1304 Sum = 6769.039142561877081 Averaged sum = 0.6762952485325084504 logp*logq = 9.911980212502418973 -------------- ************************************* p = 7; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21144.94401821021350 -------------- Searches starting with [7,167]-exponents: u = 5, v = 3 n_start has 11 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(7,167) = 1.135289781452334129 D2(7,167) = 0.1069261483611189128 C1(7,167) = 1.279045821072396786 C2(7,167) = 1.954809429622501610 C3(7,167) = 2.343156453560586973 C4(7,167) = 1336 Sum = 5937.563140044455148 Averaged sum = 0.5932224138319967178 logp*logq = 9.959156102384059134 -------------- ************************************* p = 7; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22648.35303938899268 -------------- Searches starting with [7,173]-exponents: u = 5, v = 3 n_start has 11 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10007 non-negative rho_i D1(7,173) = 0.7950162436481725161 D2(7,173) = 0.006041765770119934252 C1(7,173) = 1.050389648986245153 C2(7,173) = 2.504074474712110909 C3(7,173) = 2.012294678606078017 C4(7,173) = 1384 Sum = 5898.023237651012250 Averaged sum = 0.5893897509394436144 logp*logq = 10.02784241477466620 -------------- ************************************* p = 7; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24201.90641813816788 -------------- Searches starting with [7,179]-exponents: u = 5, v = 3 n_start has 11 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10007 non-negative rho_i D1(7,179) = 1.920438601794757036 D2(7,179) = 0.01295907040804367909 C1(7,179) = 2.535361228056624138 C2(7,179) = 0.9712927785087547142 C3(7,179) = 5.407925431554277960 C4(7,179) = 1432 Sum = 5157.478415555601622 Averaged sum = 0.5153870706061358671 logp*logq = 10.09418668665100008 -------------- ************************************* p = 7; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24730.88466872508467 -------------- Searches starting with [7,181]-exponents: u = 8, v = 1 n_start has 10 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10007 non-negative rho_i D1(7,181) = 1.294616505134286254 D2(7,181) = 0.01887042753048515320 C1(7,181) = 1.709085863113120359 C2(7,181) = 1.257255914044293513 C3(7,181) = 3.119863989968286038 C4(7,181) = 1448 Sum = 6031.073745425579642 Averaged sum = 0.6026854946962705748 logp*logq = 10.11580813297408669 -------------- ************************************* p = 7; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27459.07982882720083 -------------- Searches starting with [7,191]-exponents: u = 8, v = 1 n_start has 10 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(7,191) = 1.028863562103953984 D2(7,191) = 0.05558223465488809359 C1(7,191) = 1.236705090448529026 C2(7,191) = 1.839845620350174987 C3(7,191) = 2.278030936772445967 C4(7,191) = 1528 Sum = 5433.568861725054348 Averaged sum = 0.5428683046982769855 logp*logq = 10.22045216924947892 -------------- ************************************* p = 7; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28021.35704238079304 -------------- Searches starting with [7,193]-exponents: u = 8, v = 1 n_start has 10 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(7,193) = 0.9748758994104901872 D2(7,193) = 0.06613805143927689602 C1(7,193) = 1.110676291584158259 C2(7,193) = 1.992679832903358709 C3(7,193) = 2.094699941726537586 C4(7,193) = 1544 Sum = 6175.945746865293666 Averaged sum = 0.6170392393710953808 logp*logq = 10.24072224992384078 -------------- ************************************* p = 7; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29162.52446584416902 -------------- Searches starting with [7,197]-exponents: u = 8, v = 1 n_start has 10 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(7,197) = 1.270539038675583407 D2(7,197) = 0.08854896393510292678 C1(7,197) = 1.557804531197100846 C2(7,197) = 2.264653456334817826 C3(7,197) = 2.820959049115233481 C4(7,197) = 1576 Sum = 5224.533618793452993 Averaged sum = 0.5219835766603509834 logp*logq = 10.28063975527812626 -------------- ************************************* p = 7; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29741.40853345535136 -------------- Searches starting with [7,199]-exponents: u = 8, v = 1 n_start has 10 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(7,199) = 0.9271395129595369659 D2(7,199) = 0.09558216839569113077 C1(7,199) = 1.073418286567423367 C2(7,199) = 2.274010442239649579 C3(7,199) = 2.043382560498531630 C4(7,199) = 1592 Sum = 5697.589203368106110 Averaged sum = 0.5692465983982521840 logp*logq = 10.30029558047484607 -------------- ************************************* p = 7; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33330.72949947738022 -------------- Searches starting with [7,211]-exponents: u = 11, v = 1 n_start has 12 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(7,211) = 1.965778255532560941 D2(7,211) = 0.05683008751807177665 C1(7,211) = 2.511539031885126811 C2(7,211) = 0.9571942679882082048 C3(7,211) = 5.322836851305836577 C4(7,211) = 1688 Sum = 2328.901232351356726 Averaged sum = 0.2326807105955996329 logp*logq = 10.41423505823530340 -------------- ************************************* p = 7; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37118.48705190947073 -------------- Searches starting with [7,223]-exponents: u = 11, v = 1 n_start has 12 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(7,223) = 1.049896003200859178 D2(7,223) = 0.02674981263433586956 C1(7,223) = 1.267036118373340666 C2(7,223) = 2.548926049437893603 C3(7,223) = 2.324497101192279419 C4(7,223) = 1784 Sum = 5474.405205942253166 Averaged sum = 0.5469482671537869083 logp*logq = 10.52187042776964218 -------------- ************************************* p = 7; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38425.06642643328305 -------------- Searches starting with [7,227]-exponents: u = 11, v = 1 n_start has 12 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(7,227) = 1.516511575535385479 D2(7,227) = 0.1805973427958826920 C1(7,227) = 1.739783279762975270 C2(7,227) = 2.199295992374122475 C3(7,227) = 3.184278055901162029 C4(7,227) = 1816 Sum = 6860.446392733903948 Averaged sum = 0.6854277542945253220 logp*logq = 10.55646529713486080 -------------- ************************************* p = 7; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39086.59287155015881 -------------- Searches starting with [7,229]-exponents: u = 11, v = 1 n_start has 12 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(7,229) = 0.8648757953708980823 D2(7,229) = 0.1874738477225455787 C1(7,229) = 0.9800953503607145635 C2(7,229) = 1.686588312357951972 C3(7,229) = 1.920294753959485525 C4(7,229) = 1832 Sum = 5801.009498001574768 Averaged sum = 0.5795793284045933428 logp*logq = 10.57353479386136613 -------------- ************************************* p = 7; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40426.10625492173112 -------------- Searches starting with [7,233]-exponents: u = 14, v = 1 n_start has 15 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(7,233) = 1.325286131522918625 D2(7,233) = 0.1108860692113156516 C1(7,233) = 1.659603418002403718 C2(7,233) = 1.223425311076702877 C3(7,233) = 3.018763978906836829 C4(7,233) = 1864 Sum = 5485.682776535517770 Averaged sum = 0.5480750101444217974 logp*logq = 10.60723104968427692 -------------- ************************************* p = 7; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42476.48920363669196 -------------- Searches starting with [7,239]-exponents: u = 14, v = 1 n_start has 15 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(7,239) = 0.8078337623271305168 D2(7,239) = 0.1332884246066829757 C1(7,239) = 0.9096278715808431878 C2(7,239) = 2.472086151214685080 C3(7,239) = 1.832289706790939506 C4(7,239) = 1912 Sum = 5668.529897211024877 Averaged sum = 0.5663432807684109179 logp*logq = 10.65670600663503646 -------------- ************************************* p = 7; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43170.90355053622041 -------------- Searches starting with [7,241]-exponents: u = 14, v = 1 n_start has 15 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(7,241) = 1.133312851801188308 D2(7,241) = 0.1077422024297077017 C1(7,241) = 1.353022508601918781 C2(7,241) = 2.449119380950355325 C3(7,241) = 2.461442150860209678 C4(7,241) = 1928 Sum = 4668.512328817876981 Averaged sum = 0.4664314445816642003 logp*logq = 10.67292201838692580 -------------- ************************************* p = 7; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46725.01495481920949 -------------- Searches starting with [7,251]-exponents: u = 17, v = 1 n_start has 17 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(7,251) = 0.9912748803159968405 D2(7,251) = 0.1968620532544762736 C1(7,251) = 1.112626776972032274 C2(7,251) = 1.688511252763251300 C3(7,251) = 2.097421668476630880 C4(7,251) = 2008 Sum = 5550.189733248514284 Averaged sum = 0.5545199054099824442 logp*logq = 10.75203495238404858 -------------- ************************************* p = 7; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48923.02734528802664 -------------- Searches starting with [7,257]-exponents: u = 17, v = 1 n_start has 17 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(7,257) = 0.9177496094227640260 D2(7,257) = 0.1239153360234293449 C1(7,257) = 1.058405699539933709 C2(7,257) = 2.342592155451993618 C3(7,257) = 2.023062041676225814 C4(7,257) = 2056 Sum = 5790.715766900015524 Averaged sum = 0.5785508808971940777 logp*logq = 10.79800347147773155 -------------- ************************************* p = 7; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51170.12186227079896 -------------- Searches starting with [7,263]-exponents: u = 20, v = 1 n_start has 20 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(7,263) = 1.103336967005997285 D2(7,263) = 0.04547070405044323323 C1(7,263) = 1.280625787719756649 C2(7,263) = 2.270859509893957254 C3(7,263) = 2.345622354542710392 C4(7,263) = 2104 Sum = 5084.049661808894019 Averaged sum = 0.5079478131490552522 logp*logq = 10.84291108331419887 -------------- ************************************* p = 7; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53466.23726989338896 -------------- Searches starting with [7,269]-exponents: u = 23, v = 1 n_start has 22 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(7,269) = 1.668652570688233884 D2(7,269) = 0.1285440922588567235 C1(7,269) = 2.022941777844702588 C2(7,269) = 2.254248835782588642 C3(7,269) = 3.844842525935355711 C4(7,269) = 2152 Sum = 2823.969922002816369 Averaged sum = 0.2821430634431827724 logp*logq = 10.88680565460247227 -------------- ************************************* p = 7; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54242.49223063399552 -------------- Searches starting with [7,271]-exponents: u = 23, v = 1 n_start has 22 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(7,271) = 0.9135818133251154649 D2(7,271) = 0.09771405876302054829 C1(7,271) = 1.047138047279196993 C2(7,271) = 2.225470629142855112 C3(7,271) = 2.007943399364018744 C4(7,271) = 2168 Sum = 5962.076896202364669 Averaged sum = 0.5956715851935622609 logp*logq = 10.90121986976359480 -------------- ************************************* p = 7; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56603.87607600410877 -------------- Searches starting with [7,277]-exponents: u = 26, v = 1 n_start has 25 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(7,277) = 0.9641744126901314417 D2(7,277) = 0.01659950995201294248 C1(7,277) = 1.161185041943741949 C2(7,277) = 2.150421914530471251 C3(7,277) = 2.166332180357820140 C4(7,277) = 2216 Sum = 5563.173570994092237 Averaged sum = 0.5558171216898883242 logp*logq = 10.94383274375469528 -------------- ************************************* p = 7; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58205.29302494021250 -------------- Searches starting with [7,281]-exponents: u = 26, v = 1 n_start has 25 digits starting right neighbors generation We generated 87 left neighbors We generated 9923 right neighbors We generated 10009 non-negative rho_i D1(7,281) = 0.8948743352943089725 D2(7,281) = 0.08241208112491944331 C1(7,281) = 1.020894146778510817 C2(7,281) = 2.136781009766435995 C3(7,281) = 1.973166606986041542 C4(7,281) = 2248 Sum = 5489.459911824601825 Averaged sum = 0.5484523840368270381 logp*logq = 10.97173157502995098 -------------- ************************************* p = 7; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59014.14347511364267 -------------- Searches starting with [7,283]-exponents: u = 29, v = 1 n_start has 27 digits starting right neighbors generation We generated 120 left neighbors We generated 9890 right neighbors We generated 10009 non-negative rho_i D1(7,283) = 0.9316729730492719506 D2(7,283) = 0.05218201146211595050 C1(7,283) = 1.115868987651138062 C2(7,283) = 2.108438791645120449 C3(7,283) = 2.101953708845630435 C4(7,283) = 2264 Sum = 5424.530458547472253 Averaged sum = 0.5419652771053524081 logp*logq = 10.98553241407680860 -------------- ************************************* p = 7; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63139.73267592892927 -------------- Searches starting with [7,293]-exponents: u = 35, v = 1 n_start has 33 digits starting right neighbors generation We generated 172 left neighbors We generated 9838 right neighbors We generated 10009 non-negative rho_i D1(7,293) = 0.8999906166083779549 D2(7,293) = 0.003979611089316864723 C1(7,293) = 1.027955971198604143 C2(7,293) = 2.001509059095961679 C3(7,293) = 1.982464829695363976 C4(7,293) = 2344 Sum = 5944.193825870232659 Averaged sum = 0.5938848861894527584 logp*logq = 11.05310552827230931 -------------- ************************************* p = 7; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69142.93440873171314 -------------- Searches starting with [7,307]-exponents: u = 50, v = 1 n_start has 45 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(7,307) = 0.8510884488526863251 D2(7,307) = 0.03793424613964039799 C1(7,307) = 0.9733383049454553500 C2(7,307) = 1.863263287593844788 C3(7,307) = 1.911675964016439278 C4(7,307) = 2456 Sum = 5732.697700857582203 Averaged sum = 0.5727542912236569290 logp*logq = 11.14393115412448808 -------------- ************************************* p = 7; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70906.77614923492680 -------------- Searches starting with [7,311]-exponents: u = 56, v = 1 n_start has 50 digits starting right neighbors generation We generated 369 left neighbors We generated 9641 right neighbors We generated 10009 non-negative rho_i D1(7,311) = 0.9168411272758106151 D2(7,311) = 0.009478661394478868628 C1(7,311) = 1.066535697004867168 C2(7,311) = 1.805101179643941108 C3(7,311) = 2.034041310787944083 C4(7,311) = 2488 Sum = 5628.965437026359967 Averaged sum = 0.5623903923495214273 logp*logq = 11.16912128128532433 -------------- ************************************* p = 7; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71796.79434299465283 -------------- Searches starting with [7,313]-exponents: u = 62, v = 1 n_start has 55 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(7,313) = 0.8987947454959282691 D2(7,313) = 0.01311980675027105331 C1(7,313) = 1.007085316831746053 C2(7,313) = 1.780856107652236081 C3(7,313) = 1.955110507099779609 C4(7,313) = 2504 Sum = 5534.049677501193043 Averaged sum = 0.5529073511340986155 logp*logq = 11.18159510700610643 -------------- ************************************* p = 7; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73593.01602136347784 -------------- Searches starting with [7,317]-exponents: u = 71, v = 1 n_start has 63 digits starting right neighbors generation We generated 582 left neighbors We generated 9428 right neighbors We generated 10009 non-negative rho_i D1(7,317) = 0.8954855981061707043 D2(7,317) = 0.003744205865631186730 C1(7,317) = 1.006107888454325836 C2(7,317) = 1.723603149514638792 C3(7,317) = 1.953838724241200172 C4(7,317) = 2536 Sum = 5720.684417284100680 Averaged sum = 0.5715540430896294015 logp*logq = 11.20630540920044732 -------------- ************************************* p = 7; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80049.54485634136415 -------------- Searches starting with [7,331]-exponents: u = 161, v = 1 n_start has 139 digits starting right neighbors generation We generated 2657 left neighbors We generated 7353 right neighbors We generated 10009 non-negative rho_i D1(7,331) = 0.7554418309916764063 D2(7,331) = 0.01109298140051544233 C1(7,331) = 0.8540569801014572281 C2(7,331) = 1.482335395457516600 C3(7,331) = 1.765742340685938672 C4(7,331) = 2648 Sum = 6038.815297036628081 Averaged sum = 0.6033385250311347868 logp*logq = 11.29040103266655274 -------------- ************************************* p = 7; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82897.35564764410438 -------------- Searches starting with [7,337]-exponents: u = 329, v = 1 n_start has 281 digits --- performed 5000 steps in the continued fraction search [7,337]-exponents: u = 184, v = 33 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,337) = 0.8297100095528306461 D2(7,337) = 0.02415256346283816223 C1(7,337) = 0.9250097307161620722 C2(7,337) = 1.322079078136812202 C3(7,337) = 1.851149047079257526 C4(7,337) = 2696 Sum = 6348.018035857471051 Averaged sum = 0.6348652901147585809 logp*logq = 11.32535844251624885 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,337) = 0.8297100095528306461 D2(7,337) = 0.02415256346283816223 C1(7,337) = 0.9250097307161620722 C2(7,337) = 1.322079078136812202 C3(7,337) = 1.851149047079257526 C4(7,337) = 2696 Sum = 6348.018035857471051 Averaged sum = 0.6348652901147585809 logp*logq = 11.32535844251624885 -------------- ************************************* p = 7; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87751.16823153076852 -------------- Searches starting with [7,347]-exponents: u = 3, v = 167 n_start has 427 digits --- performed 5000 steps in the continued fraction search [7,347]-exponents: u = 375, v = 33 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,347) = 0.6733103752779758157 D2(7,347) = 0.1919024831266484378 C1(7,347) = 0.7453914694992664189 C2(7,347) = 1.364575772908913102 C3(7,347) = 1.642516179394177412 C4(7,347) = 2776 Sum = 6500.263316777892807 Averaged sum = 0.6500913408118704677 logp*logq = 11.38226045441933047 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,347) = 0.6733103752779758157 D2(7,347) = 0.1919024831266484378 C1(7,347) = 0.7453914694992664189 C2(7,347) = 1.364575772908913102 C3(7,347) = 1.642516179394177412 C4(7,347) = 2776 Sum = 6500.263316777892807 Averaged sum = 0.6500913408118704677 logp*logq = 11.38226045441933047 -------------- ************************************* p = 7; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88738.03460199805656 -------------- Searches starting with [7,349]-exponents: u = 3, v = 112 n_start has 288 digits --- performed 5000 steps in the continued fraction search [7,349]-exponents: u = 241, v = 17 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,349) = 0.8645198346812107088 D2(7,349) = 0.03438020042279740395 C1(7,349) = 0.9634079751653869421 C2(7,349) = 1.328226099216199484 C3(7,349) = 1.899079715970099668 C4(7,349) = 2792 Sum = 6345.099586139048461 Averaged sum = 0.6345734159555003961 logp*logq = 11.39344387686250483 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,349) = 0.8645198346812107088 D2(7,349) = 0.03438020042279740395 C1(7,349) = 0.9634079751653869421 C2(7,349) = 1.328226099216199484 C3(7,349) = 1.899079715970099668 C4(7,349) = 2792 Sum = 6345.099586139048461 Averaged sum = 0.6345734159555003961 logp*logq = 11.39344387686250483 -------------- ************************************* p = 7; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90727.85779305688922 -------------- Searches starting with [7,353]-exponents: u = 3, v = 67 n_start has 174 digits starting right neighbors generation We generated 4136 left neighbors We generated 5874 right neighbors We generated 10009 non-negative rho_i D1(7,353) = 0.8004590694657790414 D2(7,353) = 0.004224195591531759661 C1(7,353) = 0.9005696209732122308 C2(7,353) = 1.431186948002006141 C3(7,353) = 1.821273612032380304 C4(7,353) = 2824 Sum = 6108.589289964238954 Averaged sum = 0.6103096503111438659 logp*logq = 11.41561973109530573 -------------- ************************************* p = 7; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93752.79398766732290 -------------- Searches starting with [7,359]-exponents: u = 3, v = 42 n_start has 110 digits starting right neighbors generation We generated 1663 left neighbors We generated 8347 right neighbors We generated 10009 non-negative rho_i D1(7,359) = 0.7632641935484971727 D2(7,359) = 0.009400674728426156488 C1(7,359) = 0.8676553862897551485 C2(7,359) = 1.562299745618686355 C3(7,359) = 1.781799940590323066 C4(7,359) = 2872 Sum = 5973.027155892767747 Averaged sum = 0.5967656265254039111 logp*logq = 11.44841674592368863 -------------- ************************************* p = 7; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97861.01668557382914 -------------- Searches starting with [7,367]-exponents: u = 3, v = 28 n_start has 75 digits starting right neighbors generation We generated 764 left neighbors We generated 9246 right neighbors We generated 10009 non-negative rho_i D1(7,367) = 0.8099538655815419979 D2(7,367) = 0.01378534493148672353 C1(7,367) = 0.9303849289241783852 C2(7,367) = 1.693241732082011153 C3(7,367) = 1.857785120059337552 C4(7,367) = 2936 Sum = 5807.492100936984411 Averaged sum = 0.5802270057884888012 logp*logq = 11.49130355397342928 -------------- ************************************* p = 7; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100998.3587015672348 -------------- Searches starting with [7,373]-exponents: u = 3, v = 23 n_start has 62 digits starting right neighbors generation We generated 564 left neighbors We generated 9446 right neighbors We generated 10009 non-negative rho_i D1(7,373) = 0.8225680425001141903 D2(7,373) = 0.002194027967285727151 C1(7,373) = 0.9514665133562643906 C2(7,373) = 1.768604675466190899 C3(7,373) = 1.884042287898449386 C4(7,373) = 2984 Sum = 5072.886479332616671 Averaged sum = 0.5068324986844456659 logp*logq = 11.52285954521182370 -------------- ************************************* p = 7; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104183.8037389620478 -------------- Searches starting with [7,379]-exponents: u = 3, v = 19 n_start has 52 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(7,379) = 1.361139113159813890 D2(7,379) = 0.02082089696059416429 C1(7,379) = 1.550745195798327410 C2(7,379) = 1.844754145580595455 C3(7,379) = 2.807732745286470171 C4(7,379) = 3032 Sum = 6775.616857570791386 Averaged sum = 0.6769524285713649101 logp*logq = 11.55391196185326356 -------------- ************************************* p = 7; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106334.1371402216411 -------------- Searches starting with [7,383]-exponents: u = 3, v = 17 n_start has 47 digits starting right neighbors generation We generated 297 left neighbors We generated 9713 right neighbors We generated 10009 non-negative rho_i D1(7,383) = 0.8297969469856123307 D2(7,383) = 0.03406451705995505829 C1(7,383) = 0.9383787856251220586 C2(7,383) = 1.891821583041774274 C3(7,383) = 1.867698139524184069 C4(7,383) = 3064 Sum = 5843.961398060758327 Averaged sum = 0.5838706562154818989 logp*logq = 11.57434165238272970 -------------- ************************************* p = 7; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109599.6619883898112 -------------- Searches starting with [7,389]-exponents: u = 3, v = 15 n_start has 42 digits starting right neighbors generation We generated 259 left neighbors We generated 9751 right neighbors We generated 10009 non-negative rho_i D1(7,389) = 0.8912906451939931741 D2(7,389) = 0.002766479119920676874 C1(7,389) = 1.021588140387509567 C2(7,389) = 1.940155363355810331 C3(7,389) = 1.974078444721790520 C4(7,389) = 3112 Sum = 5523.987528276200412 Averaged sum = 0.5519020409907283856 logp*logq = 11.60458956944375831 -------------- ************************************* p = 7; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114028.3453498261105 -------------- Searches starting with [7,397]-exponents: u = 3, v = 13 n_start has 37 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(7,397) = 0.8307630039172734396 D2(7,397) = 0.03215644770061996532 C1(7,397) = 0.9456928686918503182 C2(7,397) = 2.020131640965022445 C3(7,397) = 1.876814517896870690 C4(7,397) = 3176 Sum = 5414.005481869423982 Averaged sum = 0.5409137258336920754 logp*logq = 11.64420233988950781 -------------- ************************************* p = 7; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116274.6535416690150 -------------- Searches starting with [7,401]-exponents: u = 3, v = 12 n_start has 34 digits starting right neighbors generation We generated 151 left neighbors We generated 9859 right neighbors We generated 10009 non-negative rho_i D1(7,401) = 0.8513742172698628017 D2(7,401) = 0.08242970733374132804 C1(7,401) = 0.9818554753719863323 C2(7,401) = 2.072110693597313522 C3(7,401) = 1.922546212143486434 C4(7,401) = 3208 Sum = 5162.351036694968576 Averaged sum = 0.5157709098506312894 logp*logq = 11.66371037444192453 -------------- ************************************* p = 7; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120831.1451898873636 -------------- Searches starting with [7,409]-exponents: u = 3, v = 11 n_start has 32 digits starting right neighbors generation We generated 138 left neighbors We generated 9872 right neighbors We generated 10009 non-negative rho_i D1(7,409) = 1.095512906043942871 D2(7,409) = 0.08574133529512243803 C1(7,409) = 1.302340059106253010 C2(7,409) = 2.133981473009321795 C3(7,409) = 2.379776559843146328 C4(7,409) = 3272 Sum = 4194.820657166748040 Averaged sum = 0.4191048713324755759 logp*logq = 11.70214935567144506 -------------- ************************************* p = 7; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126646.4090589331442 -------------- Searches starting with [7,419]-exponents: u = 3, v = 9 n_start has 27 digits starting right neighbors generation We generated 91 left neighbors We generated 9919 right neighbors We generated 10009 non-negative rho_i D1(7,419) = 0.7365345799622527021 D2(7,419) = 0.08410598337591286160 C1(7,419) = 0.8281542850287496437 C2(7,419) = 2.202376670714904120 C3(7,419) = 1.735554563211090019 C4(7,419) = 3352 Sum = 5704.049483045511846 Averaged sum = 0.5698920454636339141 logp*logq = 11.74915430176242870 -------------- ************************************* p = 7; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 127825.4011319960593 -------------- Searches starting with [7,421]-exponents: u = 3, v = 9 n_start has 27 digits starting right neighbors generation We generated 91 left neighbors We generated 9919 right neighbors We generated 10009 non-negative rho_i D1(7,421) = 1.396852712857900215 D2(7,421) = 0.1052885500258178136 C1(7,421) = 1.624913522777992548 C2(7,421) = 2.224402675310815269 C3(7,421) = 2.949847198008866646 C4(7,421) = 3368 Sum = 5946.917358757557096 Averaged sum = 0.5941569945806331398 logp*logq = 11.75842055807741304 -------------- ************************************* p = 7; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 133799.9827562800051 -------------- Searches starting with [7,431]-exponents: u = 3, v = 8 n_start has 24 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(7,431) = 1.005688606646963373 D2(7,431) = 0.06782191023243251224 C1(7,431) = 1.174324130593376308 C2(7,431) = 2.271665452406382346 C3(7,431) = 2.185364384526840397 C4(7,431) = 3448 Sum = 4987.386654445777335 Averaged sum = 0.4982902042607430647 logp*logq = 11.80410129779942577 -------------- ************************************* p = 7; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 135010.8138996733570 -------------- Searches starting with [7,433]-exponents: u = 3, v = 8 n_start has 24 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(7,433) = 0.8704837492320205378 D2(7,433) = 0.08529509634132613167 C1(7,433) = 1.003501125914353948 C2(7,433) = 2.289980098224713161 C3(7,433) = 1.950450973834081608 C4(7,433) = 3464 Sum = 5482.517991338605556 Averaged sum = 0.5477588161992812025 logp*logq = 11.81311015717303906 -------------- ************************************* p = 7; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138675.1130063919795 -------------- Searches starting with [7,439]-exponents: u = 3, v = 7 n_start has 22 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(7,439) = 0.9145860078832708396 D2(7,439) = 0.1415128871107952058 C1(7,439) = 1.103741229430409095 C2(7,439) = 2.348698963178764100 C3(7,439) = 2.085051258990189483 C4(7,439) = 3512 Sum = 5682.929637607366902 Averaged sum = 0.5677819599967396245 logp*logq = 11.83988915982407300 -------------- ************************************* p = 7; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141144.4706736222283 -------------- Searches starting with [7,443]-exponents: u = 3, v = 7 n_start has 22 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(7,443) = 0.8941292047472684804 D2(7,443) = 0.01515035643277903526 C1(7,443) = 1.018681873302549456 C2(7,443) = 2.325944982678494705 C3(7,443) = 1.970262712688256426 C4(7,443) = 3544 Sum = 5853.979147626731309 Averaged sum = 0.5848715303853263372 logp*logq = 11.85753925950748111 -------------- ************************************* p = 7; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 144888.2185820221104 -------------- Searches starting with [7,449]-exponents: u = 3, v = 7 n_start has 22 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(7,449) = 0.7830839614438587316 D2(7,449) = 0.05569462778652304838 C1(7,449) = 0.8811119498223176673 C2(7,449) = 2.369013731515491052 C3(7,449) = 1.797833792299082005 C4(7,449) = 3592 Sum = 5461.234150024499144 Averaged sum = 0.5456323458911478813 logp*logq = 11.88371781777073995 -------------- ************************************* p = 7; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149953.9566200618366 -------------- Searches starting with [7,457]-exponents: u = 3, v = 6 n_start has 19 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(7,457) = 0.7933473999673714028 D2(7,457) = 0.1142671491304024231 C1(7,457) = 0.8938053963136286723 C2(7,457) = 2.430899802874392579 C3(7,457) = 1.813090589549668814 C4(7,457) = 3656 Sum = 5699.757426622456597 Averaged sum = 0.5694632257590625034 logp*logq = 11.91808357009154359 -------------- ************************************* p = 7; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152518.5489456049114 -------------- Searches starting with [7,461]-exponents: u = 3, v = 6 n_start has 19 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(7,461) = 0.8061765127627838916 D2(7,461) = 0.1460265254562848358 C1(7,461) = 0.9034488859402893732 C2(7,461) = 2.464294078738256200 C3(7,461) = 1.824768000069797530 C4(7,461) = 3688 Sum = 5641.742701050216787 Averaged sum = 0.5636669698321727232 logp*logq = 11.93504150006317524 -------------- ************************************* p = 7; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 153808.7715601067645 -------------- Searches starting with [7,463]-exponents: u = 3, v = 6 n_start has 19 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(7,463) = 1.097763152208436346 D2(7,463) = 0.1626636970364956960 C1(7,463) = 1.294558486256742775 C2(7,463) = 2.481743342246855949 C3(7,463) = 2.367480183539983805 C4(7,463) = 3704 Sum = 4488.958811231564838 Averaged sum = 0.4484922381088585111 logp*logq = 11.94346536667777277 -------------- ************************************* p = 7; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156405.0635069671644 -------------- Searches starting with [7,467]-exponents: u = 3, v = 6 n_start has 19 digits starting right neighbors generation We generated 46 left neighbors We generated 9964 right neighbors We generated 10009 non-negative rho_i D1(7,467) = 0.7699276494554315484 D2(7,467) = 0.1977168931373150302 C1(7,467) = 0.8621680035818782970 C2(7,467) = 2.518410160523121928 C3(7,467) = 1.775302696648306655 C4(7,467) = 3736 Sum = 5435.922407601059037 Averaged sum = 0.5431034476572144107 logp*logq = 11.96020448193351715 -------------- ************************************* p = 7; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164320.6251188773754 -------------- Searches starting with [7,479]-exponents: u = 3, v = 5 n_start has 16 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10009 non-negative rho_i D1(7,479) = 0.7997247324234649730 D2(7,479) = 0.05183206669093538383 C1(7,479) = 0.9127722280065021165 C2(7,479) = 2.512906154044840053 C3(7,479) = 1.836129241054177114 C4(7,479) = 3832 Sum = 5723.965247855414985 Averaged sum = 0.5718818311375177325 logp*logq = 12.00957482943264024 -------------- ************************************* p = 7; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169703.1413320239803 -------------- Searches starting with [7,487]-exponents: u = 3, v = 5 n_start has 16 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10009 non-negative rho_i D1(7,487) = 0.7836896405162599238 D2(7,487) = 0.09688326893746399927 C1(7,487) = 0.9304553120869887532 C2(7,487) = 2.561195710681889756 C3(7,487) = 1.857872170793504267 C4(7,487) = 3896 Sum = 5361.930063838378224 Averaged sum = 0.5357108666038943175 logp*logq = 12.04180596214128998 -------------- ************************************* p = 7; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172426.0135223126079 -------------- Searches starting with [7,491]-exponents: u = 3, v = 5 n_start has 16 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10009 non-negative rho_i D1(7,491) = 0.8469675665146039893 D2(7,491) = 0.1206426338487355760 C1(7,491) = 0.9645397482562381806 C2(7,491) = 2.586554160607111433 C3(7,491) = 1.900511126423684082 C4(7,491) = 3928 Sum = 5781.376575747921680 Averaged sum = 0.5776178015533941133 logp*logq = 12.05772351632955639 -------------- ************************************* p = 7; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 177934.9394596116598 -------------- Searches starting with [7,499]-exponents: u = 3, v = 5 n_start has 17 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10009 non-negative rho_i D1(7,499) = 0.9090778326104963646 D2(7,499) = 0.1510151244296296726 C1(7,499) = 1.012491995526230248 C2(7,499) = 1.740385895076764264 C3(7,499) = 1.962160386812714388 C4(7,499) = 3992 Sum = 4780.611363923169846 Averaged sum = 0.4776312682508911825 logp*logq = 12.08917325380578573 -------------- ************************************* p = 7; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180720.9748006914083 -------------- Searches starting with [7,503]-exponents: u = 3, v = 5 n_start has 17 digits starting right neighbors generation We generated 39 left neighbors We generated 9971 right neighbors We generated 10009 non-negative rho_i D1(7,503) = 1.000315105078268030 D2(7,503) = 0.1271474643122546980 C1(7,503) = 1.240590072626095489 C2(7,503) = 1.511081380394210605 C3(7,503) = 2.283930344226065819 C4(7,503) = 4024 Sum = 5396.451858600184093 Averaged sum = 0.5391599419122973417 logp*logq = 12.10470954511080027 -------------- ************************************* p = 7; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184939.4676941946616 -------------- Searches starting with [7,509]-exponents: u = 3, v = 4 n_start has 14 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(7,509) = 1.039245642723860031 D2(7,509) = 0.1329584143908708365 C1(7,509) = 1.288780238073418964 C2(7,509) = 1.492024931000821509 C3(7,509) = 2.358390568203609345 C4(7,509) = 4072 Sum = 5451.321939272771566 Averaged sum = 0.5446420161127756585 logp*logq = 12.12778384886531948 -------------- ************************************* p = 7; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 193518.3262367285786 -------------- Searches starting with [7,521]-exponents: u = 3, v = 4 n_start has 14 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(7,521) = 0.9443054542264263771 D2(7,521) = 0.0008310404725995150648 C1(7,521) = 1.109450720679539929 C2(7,521) = 2.671887185477688257 C3(7,521) = 2.092991574980461719 C4(7,521) = 4168 Sum = 4986.365631451216703 Averaged sum = 0.4981881937707280150 logp*logq = 12.17312749620107665 -------------- ************************************* p = 7; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 194966.5140077178257 -------------- Searches starting with [7,523]-exponents: u = 3, v = 4 n_start has 14 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(7,523) = 0.7242500294240487224 D2(7,523) = 0.008249060091324722190 C1(7,523) = 0.8362780342161728543 C2(7,523) = 2.680098785906182428 C3(7,523) = 1.744966254914464870 C4(7,523) = 4184 Sum = 5498.592726866106017 Averaged sum = 0.5493648443267165568 logp*logq = 12.18058309976245041 -------------- ************************************* p = 7; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 208236.2324100876569 -------------- Searches starting with [7,541]-exponents: u = 3, v = 4 n_start has 14 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(7,541) = 0.7710233989513112579 D2(7,541) = 0.07786793941498895865 C1(7,541) = 0.8731940734339939503 C2(7,541) = 2.756724659767037462 C3(7,541) = 1.788382044066977392 C4(7,541) = 4328 Sum = 5515.129334635234872 Averaged sum = 0.5510170181471910152 logp*logq = 12.24642844696773923 -------------- ************************************* p = 7; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 212753.8002588872697 -------------- Searches starting with [7,547]-exponents: u = 3, v = 4 n_start has 14 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(7,547) = 0.9661469626960859063 D2(7,547) = 0.1024397335570597730 C1(7,547) = 1.112513385071772201 C2(7,547) = 2.783579764488005408 C3(7,547) = 2.097263343513201602 C4(7,547) = 4376 Sum = 5885.017352873134098 Averaged sum = 0.5879725599833284142 logp*logq = 12.26789090883254891 -------------- ************************************* p = 7; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220387.7708233079580 -------------- Searches starting with [7,557]-exponents: u = 3, v = 4 n_start has 14 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(7,557) = 1.554536646750706133 D2(7,557) = 0.06262137140898064391 C1(7,557) = 1.958055809456234894 C2(7,557) = 1.177916006502292333 C3(7,557) = 3.682294720253227703 C4(7,557) = 4456 Sum = 4535.741740012278625 Averaged sum = 0.4531663243093494480 logp*logq = 12.30314386843884398 -------------- ************************************* p = 7; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 225030.9225282389016 -------------- Searches starting with [7,563]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,563) = 1.020871811694802698 D2(7,563) = 0.09259388452740787247 C1(7,563) = 1.285837977926205310 C2(7,563) = 1.535849399499844962 C3(7,563) = 2.353775591262319944 C4(7,563) = 4504 Sum = 5722.811559370948889 Averaged sum = 0.5717665660276699858 logp*logq = 12.32399310520228413 -------------- ************************************* p = 7; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 229721.1178619619390 -------------- Searches starting with [7,569]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,569) = 0.7874362782921875984 D2(7,569) = 0.1163857268818599523 C1(7,569) = 0.8903505916613225053 C2(7,569) = 2.466254249809858227 C3(7,569) = 1.808925333839077789 C4(7,569) = 4552 Sum = 5518.751686795517332 Averaged sum = 0.5513789276446715288 logp*logq = 12.34462132115985428 -------------- ************************************* p = 7; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 231294.9657765812999 -------------- Searches starting with [7,571]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,571) = 1.311996847879085233 D2(7,571) = 0.1139216226029731464 C1(7,571) = 1.489525059102957733 C2(7,571) = 2.464641310952493791 C3(7,571) = 2.695601135813627337 C4(7,571) = 4568 Sum = 6474.318565298739294 Averaged sum = 0.6468496918072474067 logp*logq = 12.35144908307381416 -------------- ************************************* p = 7; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 236047.8440510688528 -------------- Searches starting with [7,577]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,577) = 0.8790501580746181182 D2(7,577) = 0.1066583389246242060 C1(7,577) = 1.029419355621566269 C2(7,577) = 2.459913349103655549 C3(7,577) = 1.984397124961293226 C4(7,577) = 4616 Sum = 5148.946750292902976 Averaged sum = 0.5144316865114300105 logp*logq = 12.37178979249094700 -------------- ************************************* p = 7; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 244073.6974457727158 -------------- Searches starting with [7,587]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,587) = 0.8129861881894253811 D2(7,587) = 0.09496147675080166264 C1(7,587) = 0.9318363797842790909 C2(7,587) = 2.452382703374053711 C3(7,587) = 1.859581117288724830 C4(7,587) = 4696 Sum = 5464.239808501608356 Averaged sum = 0.5459326414728352839 logp*logq = 12.40522549738301301 -------------- ************************************* p = 7; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 248951.8005698711109 -------------- Searches starting with [7,593]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,593) = 0.9723057944195365676 D2(7,593) = 0.08817391819981750986 C1(7,593) = 1.111390123387051216 C2(7,593) = 2.448060179351003411 C3(7,593) = 2.095695619734369573 C4(7,593) = 4744 Sum = 5161.347882130541120 Averaged sum = 0.5156706845969168867 logp*logq = 12.42501458470081559 -------------- ************************************* p = 7; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 253876.8154041293424 -------------- Searches starting with [7,599]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,599) = 1.187444962643137067 D2(7,599) = 0.07280710521102442083 C1(7,599) = 1.439563912834945315 C2(7,599) = 2.181890237038354829 C3(7,599) = 2.607418394647123671 C4(7,599) = 4792 Sum = 4806.258087653006119 Averaged sum = 0.4801936344942557817 logp*logq = 12.44460444963655522 -------------- ************************************* p = 7; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 255528.9074181887179 -------------- Searches starting with [7,601]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,601) = 0.8832565232646084076 D2(7,601) = 0.07086826424623358769 C1(7,601) = 1.070790021153944508 C2(7,601) = 2.180718002911318712 C3(7,601) = 2.039810350211427989 C4(7,601) = 4808 Sum = 5613.420148519862107 Averaged sum = 0.5608372613168010897 logp*logq = 12.45109082280597846 -------------- ************************************* p = 7; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 260516.4315193096515 -------------- Searches starting with [7,607]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,607) = 1.428587380688959317 D2(7,607) = 0.06514128663070105368 C1(7,607) = 1.601211490880730330 C2(7,607) = 2.177275405387505858 C3(7,607) = 2.903666423778278757 C4(7,607) = 4856 Sum = 5619.515579658075854 Averaged sum = 0.5614462563351059900 logp*logq = 12.47042121503585504 -------------- ************************************* p = 7; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 265550.8081571087604 -------------- Searches starting with [7,613]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,613) = 0.8279389208873782342 D2(7,613) = 0.05954393507723832112 C1(7,613) = 0.9855992970657064943 C2(7,613) = 2.173939630259626241 C3(7,613) = 1.927343892095237446 C4(7,613) = 4904 Sum = 5525.193871066141263 Averaged sum = 0.5520225667964972787 logp*logq = 12.48956146917902956 -------------- ************************************* p = 7; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 268933.0761187624189 -------------- Searches starting with [7,617]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,617) = 0.8107921231262753799 D2(7,617) = 0.05200245713818879798 C1(7,617) = 0.9651657308072002933 C2(7,617) = 2.021015977411645412 C3(7,617) = 1.901303301445887790 C4(7,617) = 4936 Sum = 5246.450113404596870 Averaged sum = 0.5241732554105901559 logp*logq = 12.50221783996859850 -------------- ************************************* p = 7; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 270632.0124105745154 -------------- Searches starting with [7,619]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,619) = 0.6998275387562788807 D2(7,619) = 0.05031758242710506690 C1(7,619) = 0.7991371756686247372 C2(7,619) = 2.020041102025872386 C3(7,619) = 1.702349644465621524 C4(7,619) = 4952 Sum = 5600.972275496335906 Averaged sum = 0.5595935933156495060 logp*logq = 12.50851528931292778 -------------- ************************************* p = 7; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 280934.8053544503278 -------------- Searches starting with [7,631]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,631) = 1.084903085909805384 D2(7,631) = 0.03689529890362115954 C1(7,631) = 1.213491613610101812 C2(7,631) = 1.836957972717711819 C3(7,631) = 2.243097093785753761 C4(7,631) = 5048 Sum = 5382.543914045566847 Averaged sum = 0.5377703980463150012 logp*logq = 12.54587791198276741 -------------- ************************************* p = 7; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 289663.3350226602404 -------------- Searches starting with [7,641]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(7,641) = 1.025866419708726618 D2(7,641) = 0.02730632761191977154 C1(7,641) = 1.176542399514600536 C2(7,641) = 1.685928005779098721 C3(7,641) = 2.188594044310906790 C4(7,641) = 5128 Sum = 6233.294913818414131 Averaged sum = 0.6227689992824871746 logp*logq = 12.57647461386538164 -------------- ************************************* p = 7; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 291424.6160088870962 -------------- Searches starting with [7,643]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10007 non-negative rho_i D1(7,643) = 0.9348004481323293580 D2(7,643) = 0.002886400158592082338 C1(7,643) = 1.205439571221725848 C2(7,643) = 3.030216365757345137 C3(7,643) = 2.231105176197653607 C4(7,643) = 5144 Sum = 5319.958414055191440 Averaged sum = 0.5316237048121506385 logp*logq = 12.58253664415445369 -------------- ************************************* p = 7; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294962.7460201305852 -------------- Searches starting with [7,647]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10007 non-negative rho_i D1(7,647) = 1.061136514249696647 D2(7,647) = 0.01176292970399943254 C1(7,647) = 1.368223851993349734 C2(7,647) = 3.040499129228826166 C3(7,647) = 2.486478384063160229 C4(7,647) = 5176 Sum = 5146.638793128169421 Averaged sum = 0.5143038666061926072 logp*logq = 12.59460434266985216 -------------- ************************************* p = 7; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 300308.8481011967072 -------------- Searches starting with [7,653]-exponents: u = 3, v = 3 n_start has 11 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10007 non-negative rho_i D1(7,653) = 1.427229346692869247 D2(7,653) = 0.01493770876270672578 C1(7,653) = 1.840006300949519706 C2(7,653) = 1.279116660382975787 C3(7,653) = 3.403985824013075183 C4(7,653) = 5224 Sum = 5584.282404109637539 Averaged sum = 0.5580376140811069790 logp*logq = 12.61256671774380968 -------------- ************************************* p = 7; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 305701.6179587285709 -------------- Searches starting with [7,659]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10007 non-negative rho_i D1(7,659) = 1.459064179498637696 D2(7,659) = 0.01594034448748657910 C1(7,659) = 1.880912875902791904 C2(7,659) = 1.264226556932204599 C3(7,659) = 3.497959409417609544 C4(7,659) = 5272 Sum = 5653.779524576835313 Averaged sum = 0.5649824647323708716 logp*logq = 12.63036480050060384 -------------- ************************************* p = 7; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307509.5745322780288 -------------- Searches starting with [7,661]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10007 non-negative rho_i D1(7,661) = 1.279636681486865096 D2(7,661) = 0.01927662399868241092 C1(7,661) = 1.649608800288151825 C2(7,661) = 1.370508049535086082 C3(7,661) = 2.998744659148006210 C4(7,661) = 5288 Sum = 5700.141643306824697 Averaged sum = 0.5696154335272134203 logp*logq = 12.63626150243430799 -------------- ************************************* p = 7; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 318466.1041751980459 -------------- Searches starting with [7,673]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10007 non-negative rho_i D1(7,673) = 0.8743078154179200983 D2(7,673) = 0.01215371836664005516 C1(7,673) = 1.004640272083112308 C2(7,673) = 2.714556168355028341 C3(7,673) = 1.951930685793244642 C4(7,673) = 5384 Sum = 5695.483722653912209 Averaged sum = 0.5691499672882894183 logp*logq = 12.67127132501921256 -------------- ************************************* p = 7; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 322159.7044637352640 -------------- Searches starting with [7,677]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10007 non-negative rho_i D1(7,677) = 0.8896913212327134798 D2(7,677) = 0.008363202111091527179 C1(7,677) = 0.9949389956570778174 C2(7,677) = 2.712419913037702673 C3(7,677) = 1.939364901497458118 C4(7,677) = 5416 Sum = 5142.528106299827304 Averaged sum = 0.5138930854701536229 logp*logq = 12.68280267816625864 -------------- ************************************* p = 7; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 327738.9167869779391 -------------- Searches starting with [7,683]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10007 non-negative rho_i D1(7,683) = 0.7174633910722796799 D2(7,683) = 0.002762780395408463603 C1(7,683) = 0.8356010885176098401 C2(7,683) = 2.709282266364404320 C3(7,683) = 1.744180040478506998 C4(7,683) = 5464 Sum = 5528.560035230568447 Averaged sum = 0.5524692750305354699 logp*logq = 12.69997258499613217 -------------- ************************************* p = 7; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 335250.2808954657331 -------------- Searches starting with [7,691]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(7,691) = 1.142370941419539744 D2(7,691) = 0.07286957166322237874 C1(7,691) = 1.314012769551056950 C2(7,691) = 2.023621175872648008 C3(7,691) = 2.398341536845187138 C4(7,691) = 5528 Sum = 5981.624335740393022 Averaged sum = 0.5976245714597255491 logp*logq = 12.72263263901222639 -------------- ************************************* p = 7; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 344755.7930518653095 -------------- Searches starting with [7,701]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(7,701) = 1.053226933351714794 D2(7,701) = 0.09440414305516729544 C1(7,701) = 1.190550284933339275 C2(7,701) = 2.174812985252752688 C3(7,701) = 2.209099166963089142 C4(7,701) = 5608 Sum = 5924.266200429735326 Averaged sum = 0.5918939155190064268 logp*logq = 12.75059159914559524 -------------- ************************************* p = 7; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 352453.1857428596849 -------------- Searches starting with [7,709]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(7,709) = 0.9760920722484100832 D2(7,709) = 0.1081686788058730555 C1(7,709) = 1.095972045434106640 C2(7,709) = 2.190683805202775329 C3(7,709) = 2.074294845030660686 C4(7,709) = 5672 Sum = 5426.173698792688682 Averaged sum = 0.5421294533712347568 logp*logq = 12.77267308601167422 -------------- ************************************* p = 7; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 362191.0721106456640 -------------- Searches starting with [7,719]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(7,719) = 0.7530692220560672437 D2(7,719) = 0.1382156270325793709 C1(7,719) = 0.8445440733578945612 C2(7,719) = 2.428388563234992409 C3(7,719) = 1.754595184102317150 C4(7,719) = 5752 Sum = 5256.719635281583879 Averaged sum = 0.5251992841724032250 logp*logq = 12.79992717506814751 -------------- ************************************* p = 7; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 370074.2366212011483 -------------- Searches starting with [7,727]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(7,727) = 0.8106045004037016684 D2(7,727) = 0.1542034282971052778 C1(7,727) = 0.9131458929495450814 C2(7,727) = 2.446691324048197931 C3(7,727) = 1.836586053181335915 C4(7,727) = 5816 Sum = 5554.091741596942703 Averaged sum = 0.5549097553798524031 logp*logq = 12.82145890401175112 -------------- ************************************* p = 7; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 376040.7432082159183 -------------- Searches starting with [7,733]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(7,733) = 1.165403035205625632 D2(7,733) = 0.1664897231000518837 C1(7,733) = 1.322632266201391230 C2(7,733) = 2.460696781843063400 C3(7,733) = 2.412143395679742891 C4(7,733) = 5864 Sum = 6260.526393706204447 Averaged sum = 0.6254896986418427862 logp*logq = 12.83745277609787352 -------------- ************************************* p = 7; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 382053.6267534327092 -------------- Searches starting with [7,739]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(7,739) = 0.8269139884372152327 D2(7,739) = 0.1542449861400034451 C1(7,739) = 1.021328861001699633 C2(7,739) = 1.735974507447862188 C3(7,739) = 1.973737728415437623 C4(7,739) = 5912 Sum = 5593.286600851060670 Averaged sum = 0.5588257169398601928 logp*logq = 12.85331626190706640 -------------- ************************************* p = 7; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 386087.9706564835391 -------------- Searches starting with [7,743]-exponents: u = 10, v = 2 n_start has 15 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(7,743) = 1.028743920409250123 D2(7,743) = 0.1288592978157086161 C1(7,743) = 1.270541056441611170 C2(7,743) = 1.539318454417483863 C3(7,743) = 2.329927280108734323 C4(7,743) = 5944 Sum = 5664.083051353633313 Averaged sum = 0.5658989960389282959 logp*logq = 12.86382052573610485 -------------- ************************************* p = 7; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 394218.4431096817612 -------------- Searches starting with [7,751]-exponents: u = 17, v = 2 n_start has 21 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(7,751) = 1.033227040999118407 D2(7,751) = 0.1248388761662012575 C1(7,751) = 1.276007925725548645 C2(7,751) = 1.524338328080849499 C3(7,751) = 2.338422401686417347 C4(7,751) = 6008 Sum = 5343.754464918161627 Averaged sum = 0.5338949410448757745 logp*logq = 12.88466045878004138 -------------- ************************************* p = 7; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 400370.3355490480493 -------------- Searches starting with [7,757]-exponents: u = 17, v = 2 n_start has 21 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(7,757) = 0.9052070035953805550 D2(7,757) = 0.1556790407218261915 C1(7,757) = 1.018838653573098373 C2(7,757) = 1.794010123333546060 C3(7,757) = 1.970468366241265315 C4(7,757) = 6056 Sum = 5532.610167668271245 Averaged sum = 0.5527635295901959481 logp*logq = 12.90014523663828270 -------------- ************************************* p = 7; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 404497.3185150042570 -------------- Searches starting with [7,761]-exponents: u = 17, v = 2 n_start has 21 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(7,761) = 0.7969433069446502771 D2(7,761) = 0.1595774163085274307 C1(7,761) = 0.9198270075645767810 C2(7,761) = 2.559161520369710325 C3(7,761) = 1.844773045783697069 C4(7,761) = 6088 Sum = 5305.622599508143877 Averaged sum = 0.5300851832858571163 logp*logq = 12.91040038632398691 -------------- ************************************* p = 7; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 412812.9892896339171 -------------- Searches starting with [7,769]-exponents: u = 17, v = 2 n_start has 21 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(7,769) = 0.7234975046550544559 D2(7,769) = 0.1361490085606979550 C1(7,769) = 0.8532165171755017437 C2(7,769) = 2.538429676565747879 C3(7,769) = 1.764754646712974661 C4(7,769) = 6152 Sum = 5502.874809366700870 Averaged sum = 0.5497926675358877880 logp*logq = 12.93074995895684407 -------------- ************************************* p = 7; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 417001.6654659804931 -------------- Searches starting with [7,773]-exponents: u = 17, v = 2 n_start has 21 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(7,773) = 0.9252950994371506669 D2(7,773) = 0.1249732164581004133 C1(7,773) = 1.032615522480280407 C2(7,773) = 2.528591531035386734 C3(7,773) = 1.988623987865140117 C4(7,773) = 6184 Sum = 5230.362992819243964 Averaged sum = 0.5225659898910224761 logp*logq = 12.94084549469617742 -------------- ************************************* p = 7; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 431823.8480009433142 -------------- Searches starting with [7,787]-exponents: u = 17, v = 2 n_start has 21 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(7,787) = 0.9646390525255892528 D2(7,787) = 0.08829914642200308305 C1(7,787) = 1.166741961874081603 C2(7,787) = 2.496544633717223592 C3(7,787) = 2.174361167427126194 C4(7,787) = 6296 Sum = 5489.099527532076246 Averaged sum = 0.5484163780129959283 logp*logq = 12.97577302481275987 -------------- ************************************* p = 7; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 442565.1321161768730 -------------- Searches starting with [7,797]-exponents: u = 24, v = 2 n_start has 27 digits starting right neighbors generation We generated 127 left neighbors We generated 9883 right neighbors We generated 10009 non-negative rho_i D1(7,797) = 1.089190446666565517 D2(7,797) = 0.06411158769394396512 C1(7,797) = 1.245641659953034850 C2(7,797) = 2.475611441370095304 C3(7,797) = 2.291624114121863005 C4(7,797) = 6376 Sum = 5244.412687965030827 Averaged sum = 0.5239696960700400466 logp*logq = 13.00034292382155464 -------------- ************************************* p = 7; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 455623.9461372382675 -------------- Searches starting with [7,809]-exponents: u = 24, v = 2 n_start has 27 digits starting right neighbors generation We generated 127 left neighbors We generated 9883 right neighbors We generated 10009 non-negative rho_i D1(7,809) = 0.7809053669290896329 D2(7,809) = 0.03693887834650929037 C1(7,809) = 0.8900737546898256288 C2(7,809) = 2.452289818436008664 C3(7,809) = 1.808591982107131371 C4(7,809) = 6472 Sum = 5564.454572175773633 Averaged sum = 0.5559451066216179072 logp*logq = 13.02942306873769497 -------------- ************************************* p = 7; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 457818.3586496473504 -------------- Searches starting with [7,811]-exponents: u = 24, v = 2 n_start has 27 digits starting right neighbors generation We generated 127 left neighbors We generated 9883 right neighbors We generated 10009 non-negative rho_i D1(7,811) = 0.8247080408695217889 D2(7,811) = 0.03258610216551721431 C1(7,811) = 0.9305484723653322887 C2(7,811) = 2.448573261001048269 C3(7,811) = 1.857987398808088062 C4(7,811) = 6488 Sum = 5629.855842241621276 Averaged sum = 0.5624793528066361550 logp*logq = 13.03422778759616657 -------------- ************************************* p = 7; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 468867.2808663454246 -------------- Searches starting with [7,821]-exponents: u = 31, v = 2 n_start has 33 digits starting right neighbors generation We generated 201 left neighbors We generated 9809 right neighbors We generated 10009 non-negative rho_i D1(7,821) = 0.8064244067261188076 D2(7,821) = 0.01150278076411134341 C1(7,821) = 0.9230022411716200772 C2(7,821) = 2.430647384568765339 C3(7,821) = 1.848676739437344115 C4(7,821) = 6568 Sum = 5458.933662469740327 Averaged sum = 0.5454025039933799907 logp*logq = 13.05807502415369912 -------------- ************************************* p = 7; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 471092.4324861833569 -------------- Searches starting with [7,823]-exponents: u = 31, v = 2 n_start has 33 digits starting right neighbors generation We generated 201 left neighbors We generated 9809 right neighbors We generated 10009 non-negative rho_i D1(7,823) = 0.9679679877442364033 D2(7,823) = 0.007414644284192183559 C1(7,823) = 1.120164201877029412 C2(7,823) = 2.427186061478450681 C3(7,823) = 2.107972746377596987 C4(7,823) = 6584 Sum = 4988.193084021346330 Averaged sum = 0.4983707747049002228 logp*logq = 13.06280960106130661 -------------- ************************************* p = 7; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 475558.0975001330474 -------------- Searches starting with [7,827]-exponents: u = 31, v = 2 n_start has 33 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(7,827) = 0.8306251565281792494 D2(7,827) = 0.1043273436762985629 C1(7,827) = 0.9417372974708031904 C2(7,827) = 2.336523766622750032 C3(7,827) = 1.871878725667761173 C4(7,827) = 6616 Sum = 5703.293119826803967 Averaged sum = 0.5698164771532424784 logp*logq = 13.07224433541803471 -------------- ************************************* p = 7; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 477798.6095514634293 -------------- Searches starting with [7,829]-exponents: u = 31, v = 2 n_start has 33 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(7,829) = 0.8836797114608194899 D2(7,829) = 0.09670767249129164981 C1(7,829) = 0.9870024376764552067 C2(7,829) = 2.329490404698284036 C3(7,829) = 1.929145089309735104 C4(7,829) = 6632 Sum = 5319.595972007298244 Averaged sum = 0.5314812640630730586 logp*logq = 13.07694460376384255 -------------- ************************************* p = 7; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 489077.9385493849780 -------------- Searches starting with [7,839]-exponents: u = 38, v = 2 n_start has 38 digits starting right neighbors generation We generated 252 left neighbors We generated 9758 right neighbors We generated 10009 non-negative rho_i D1(7,839) = 0.7561829938216922257 D2(7,839) = 0.06074818015889718123 C1(7,839) = 0.8599361721526032094 C2(7,839) = 2.296441213683360528 C3(7,839) = 1.772666916335868608 C4(7,839) = 6712 Sum = 5298.794053537835370 Averaged sum = 0.5294029427053487232 logp*logq = 13.10027713929337726 -------------- ************************************* p = 7; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 505083.8312712862191 -------------- Searches starting with [7,853]-exponents: u = 52, v = 2 n_start has 50 digits starting right neighbors generation We generated 470 left neighbors We generated 9540 right neighbors We generated 10009 non-negative rho_i D1(7,853) = 0.8302807145218358328 D2(7,853) = 0.01536421593265836645 C1(7,853) = 0.9387945993836951452 C2(7,853) = 2.255073407335990870 C3(7,853) = 1.868215226570216842 C4(7,853) = 6824 Sum = 5637.008150725148843 Averaged sum = 0.5631939405260414469 logp*logq = 13.13247969699800209 -------------- ************************************* p = 7; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 509702.9514194006747 -------------- Searches starting with [7,857]-exponents: u = 52, v = 2 n_start has 50 digits starting right neighbors generation We generated 470 left neighbors We generated 9540 right neighbors We generated 10009 non-negative rho_i D1(7,857) = 1.745073949739175730 D2(7,857) = 0.003273117823081941796 C1(7,857) = 2.029988164940638231 C2(7,857) = 2.244117572307276411 C3(7,857) = 3.862921013420451125 C4(7,857) = 6856 Sum = 8026.466331685816425 Averaged sum = 0.8019249007578995329 logp*logq = 13.14158338681441051 -------------- ************************************* p = 7; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 512020.1762388045145 -------------- Searches starting with [7,859]-exponents: u = 59, v = 2 n_start has 56 digits starting right neighbors generation We generated 549 left neighbors We generated 9461 right neighbors We generated 10009 non-negative rho_i D1(7,859) = 0.8143823191892091228 D2(7,859) = 0.05302417127236430668 C1(7,859) = 0.9183449780390481166 C2(7,859) = 2.168516412122558921 C3(7,859) = 1.842953832668500693 C4(7,859) = 6872 Sum = 5571.971958985021211 Averaged sum = 0.5566961693460906395 logp*logq = 13.14611930996163565 -------------- ************************************* p = 7; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 516669.9521473039202 -------------- Searches starting with [7,863]-exponents: u = 66, v = 2 n_start has 62 digits starting right neighbors generation We generated 693 left neighbors We generated 9317 right neighbors We generated 10009 non-negative rho_i D1(7,863) = 0.8277649231522554077 D2(7,863) = 0.03586230359737460174 C1(7,863) = 0.9592955192096659906 C2(7,863) = 2.152430775254510776 C3(7,863) = 1.893887555664292878 C4(7,863) = 6904 Sum = 4778.514194079293739 Averaged sum = 0.4774217398420715095 logp*logq = 13.15515955920188313 -------------- ************************************* p = 7; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 533105.0265118992392 -------------- Searches starting with [7,877]-exponents: u = 94, v = 2 n_start has 86 digits starting right neighbors generation We generated 1344 left neighbors We generated 8666 right neighbors We generated 10009 non-negative rho_i D1(7,877) = 0.7567068616272706375 D2(7,877) = 0.01291455446849392148 C1(7,877) = 0.8658638023762896543 C2(7,877) = 2.041026261799301272 C3(7,877) = 1.779676035377415158 C4(7,877) = 7016 Sum = 5577.989522400109149 Averaged sum = 0.5572973845938764261 logp*logq = 13.18647373160132756 -------------- ************************************* p = 7; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 537846.7007188104099 -------------- Searches starting with [7,881]-exponents: u = 108, v = 2 n_start has 98 digits starting right neighbors generation We generated 1707 left neighbors We generated 8303 right neighbors We generated 10009 non-negative rho_i D1(7,881) = 0.9876782674260917819 D2(7,881) = 0.02086241005864737525 C1(7,881) = 1.126253445984623396 C2(7,881) = 1.978491043943871515 C3(7,881) = 2.116535371835414553 C4(7,881) = 7048 Sum = 6211.383211210347488 Averaged sum = 0.6205797993016632518 logp*logq = 13.19532885563814004 -------------- ************************************* p = 7; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 540225.1911166429722 -------------- Searches starting with [7,883]-exponents: u = 122, v = 2 n_start has 109 digits starting right neighbors generation We generated 2205 left neighbors We generated 7805 right neighbors We generated 10009 non-negative rho_i D1(7,883) = 0.7622576980315184241 D2(7,883) = 0.009449178808596196624 C1(7,883) = 0.8678895568841543172 C2(7,883) = 1.967568191349659885 C3(7,883) = 1.782077734778497414 C4(7,883) = 7064 Sum = 4963.276144934261733 Averaged sum = 0.4958813213042523462 logp*logq = 13.19974135219791486 -------------- ************************************* p = 7; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 544997.4753723796861 -------------- Searches starting with [7,887]-exponents: u = 143, v = 2 n_start has 127 digits starting right neighbors generation We generated 2964 left neighbors We generated 7046 right neighbors We generated 10009 non-negative rho_i D1(7,887) = 0.8254001219819769299 D2(7,887) = 0.007405343443415224596 C1(7,887) = 0.9350662395047171223 C2(7,887) = 1.908740716507112845 C3(7,887) = 1.863583916349948112 C4(7,887) = 7096 Sum = 5852.251184498626607 Averaged sum = 0.5846988894493582383 logp*logq = 13.20853644129039433 -------------- ************************************* p = 7; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 569164.8046025378945 -------------- Searches starting with [7,907]-exponents: u = 6268, v = 2 n_start has 5303 digits --- performed 5000 steps in the continued fraction search [7,907]-exponents: u = 2636, v = 1039 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,907) = 0.8572777854957299839 D2(7,907) = 0.6983026858784982442 C1(7,907) = 0.9225506525322153431 C2(7,907) = 1.643064264640188740 C3(7,907) = 1.848121044156491378 C4(7,907) = 7256 Sum = 7253.181192246161151 Averaged sum = 0.7253906582904451595 logp*logq = 13.25192531019146202 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,907) = 0.8572777854957299839 D2(7,907) = 0.6983026858784982442 C1(7,907) = 0.9225506525322153431 C2(7,907) = 1.643064264640188740 C3(7,907) = 1.848121044156491378 C4(7,907) = 7256 Sum = 7253.181192246161151 Averaged sum = 0.7253906582904451595 logp*logq = 13.25192531019146202 -------------- ************************************* p = 7; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 574059.4176137638298 -------------- Searches starting with [7,911]-exponents: u = 7, v = 251 n_start has 749 digits --- performed 5000 steps in the continued fraction search [7,911]-exponents: u = 169, v = 199 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,911) = 0.7181708668001496057 D2(7,911) = 0.3982105720203725474 C1(7,911) = 0.7887009040200773832 C2(7,911) = 1.598995093043600134 C3(7,911) = 1.690563158716913587 C4(7,911) = 7288 Sum = 6531.430191161390130 Averaged sum = 0.6532083399501340263 logp*logq = 13.26048818495095208 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,911) = 0.7181708668001496057 D2(7,911) = 0.3982105720203725474 C1(7,911) = 0.7887009040200773832 C2(7,911) = 1.598995093043600134 C3(7,911) = 1.690563158716913587 C4(7,911) = 7288 Sum = 6531.430191161390130 Averaged sum = 0.6532083399501340263 logp*logq = 13.26048818495095208 -------------- ************************************* p = 7; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 583909.7518704093576 -------------- Searches starting with [7,919]-exponents: u = 7, v = 77 n_start has 235 digits --- performed 5000 steps in the continued fraction search [7,919]-exponents: u = 146, v = 16 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,919) = 0.9434463304930686230 D2(7,919) = 0.003892383036275417605 C1(7,919) = 1.055635252641570934 C2(7,919) = 1.726801515048878601 C3(7,919) = 2.019334207389613892 C4(7,919) = 7352 Sum = 6056.799639832715050 Averaged sum = 0.6057405380370752124 logp*logq = 13.27750171540020573 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(7,919) = 0.9434463304930686230 D2(7,919) = 0.003892383036275417605 C1(7,919) = 1.055635252641570934 C2(7,919) = 1.726801515048878601 C3(7,919) = 2.019334207389613892 C4(7,919) = 7352 Sum = 6056.799639832715050 Averaged sum = 0.6057405380370752124 logp*logq = 13.27750171540020573 -------------- ************************************* p = 7; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 596337.1980526121170 -------------- Searches starting with [7,929]-exponents: u = 7, v = 41 n_start has 128 digits starting right neighbors generation We generated 2979 left neighbors We generated 7031 right neighbors We generated 10009 non-negative rho_i D1(7,929) = 0.7749977724323765294 D2(7,929) = 0.01069542597867542339 C1(7,929) = 0.8788133000185632625 C2(7,929) = 1.916879585075068823 C3(7,929) = 1.795084707716195728 C4(7,929) = 7432 Sum = 5214.592398217530870 Averaged sum = 0.5209903485080958008 logp*logq = 13.29856155460545573 -------------- ************************************* p = 7; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 606370.7312146737877 -------------- Searches starting with [7,937]-exponents: u = 7, v = 29 n_start has 93 digits starting right neighbors generation We generated 1569 left neighbors We generated 8441 right neighbors We generated 10009 non-negative rho_i D1(7,937) = 0.7382950096811226072 D2(7,937) = 0.003744032225021650108 C1(7,937) = 0.8430634065863541776 C2(7,937) = 2.039223165750763205 C3(7,937) = 1.752866489650449759 C4(7,937) = 7496 Sum = 5592.258573341207096 Averaged sum = 0.5587230066281553697 logp*logq = 13.31524684567886860 -------------- ************************************* p = 7; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 611418.0102047314710 -------------- Searches starting with [7,941]-exponents: u = 7, v = 25 n_start has 81 digits starting right neighbors generation We generated 1153 left neighbors We generated 8857 right neighbors We generated 10009 non-negative rho_i D1(7,941) = 0.9795551421724697676 D2(7,941) = 0.02173679504227156966 C1(7,941) = 1.122755996032235858 C2(7,941) = 2.057940789796921862 C3(7,941) = 2.111613055211845540 C4(7,941) = 7528 Sum = 6091.244261277696091 Averaged sum = 0.6085767070913873605 logp*logq = 13.32353614532384094 -------------- ************************************* p = 7; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 619027.0560138976764 -------------- Searches starting with [7,947]-exponents: u = 7, v = 21 n_start has 69 digits starting right neighbors generation We generated 859 left neighbors We generated 9151 right neighbors We generated 10009 non-negative rho_i D1(7,947) = 0.9754741862578163450 D2(7,947) = 0.008892158721707088976 C1(7,947) = 1.123252035627385553 C2(7,947) = 2.137138886834782473 C3(7,947) = 2.112310484847044786 C4(7,947) = 7576 Sum = 5920.868471394370478 Averaged sum = 0.5915544481361145447 logp*logq = 13.33590425994236502 -------------- ************************************* p = 7; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 626681.8406398055843 -------------- Searches starting with [7,953]-exponents: u = 7, v = 19 n_start has 63 digits starting right neighbors generation We generated 700 left neighbors We generated 9310 right neighbors We generated 10009 non-negative rho_i D1(7,953) = 0.7980075852565198504 D2(7,953) = 0.03086979930346188223 C1(7,953) = 0.9053592148245193076 C2(7,953) = 2.160235976327843694 C3(7,953) = 1.827090148586452500 C4(7,953) = 7624 Sum = 5442.696445992463872 Averaged sum = 0.5437802423811033941 logp*logq = 13.34819425963179705 -------------- ************************************* p = 7; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 644720.7903788101715 -------------- Searches starting with [7,967]-exponents: u = 7, v = 15 n_start has 51 digits starting right neighbors generation We generated 476 left neighbors We generated 9534 right neighbors We generated 10009 non-negative rho_i D1(7,967) = 0.8388876030374414764 D2(7,967) = 0.01940026958885182980 C1(7,967) = 0.9795573911650677517 C2(7,967) = 2.275410737913359162 C3(7,967) = 1.919607151423455724 C4(7,967) = 7736 Sum = 4932.469611152700774 Averaged sum = 0.4928034380210511313 logp*logq = 13.37657261892333042 -------------- ************************************* p = 7; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 649920.4717054272290 -------------- Searches starting with [7,971]-exponents: u = 7, v = 13 n_start has 45 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(7,971) = 0.8032261771901056577 D2(7,971) = 0.03033726119412440299 C1(7,971) = 0.9096648786718217472 C2(7,971) = 2.287121769086401068 C3(7,971) = 1.832334848962199303 C4(7,971) = 7768 Sum = 5442.541615005609512 Averaged sum = 0.5437647732046767421 logp*logq = 13.38460528316387880 -------------- ************************************* p = 7; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 657758.0563971751888 -------------- Searches starting with [7,977]-exponents: u = 7, v = 13 n_start has 45 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(7,977) = 0.9557389688906618203 D2(7,977) = 0.04713849697726472455 C1(7,977) = 1.121930836559973183 C2(7,977) = 2.305077998083713504 C3(7,977) = 2.110453394479395028 C4(7,977) = 7816 Sum = 4436.655123806751524 Averaged sum = 0.4432665724654562418 logp*logq = 13.39659244724588623 -------------- ************************************* p = 7; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 665641.3028119810185 -------------- Searches starting with [7,983]-exponents: u = 7, v = 11 n_start has 39 digits starting right neighbors generation We generated 256 left neighbors We generated 9754 right neighbors We generated 10009 non-negative rho_i D1(7,983) = 0.7523585155238202477 D2(7,983) = 0.06446138645964848682 C1(7,983) = 0.8455383387885309551 C2(7,983) = 2.323548681429759432 C3(7,983) = 1.755756956403024950 C4(7,983) = 7864 Sum = 5364.412424060128918 Averaged sum = 0.5359588794145398060 logp*logq = 13.40850622006747413 -------------- ************************************* p = 7; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 676223.3012609353489 -------------- Searches starting with [7,991]-exponents: u = 7, v = 11 n_start has 39 digits starting right neighbors generation We generated 256 left neighbors We generated 9754 right neighbors We generated 10009 non-negative rho_i D1(7,991) = 1.240774442822099647 D2(7,991) = 0.08847500453674338135 C1(7,991) = 1.466247462934134599 C2(7,991) = 2.349081645063579026 C3(7,991) = 2.654150512209632748 C4(7,991) = 7928 Sum = 3467.548238302300814 Averaged sum = 0.3464430251076332115 logp*logq = 13.42427862778812325 -------------- ************************************* p = 7; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 684213.0330671802514 -------------- Searches starting with [7,997]-exponents: u = 7, v = 9 n_start has 33 digits starting right neighbors generation We generated 205 left neighbors We generated 9805 right neighbors We generated 10009 non-negative rho_i D1(7,997) = 1.092326698461395504 D2(7,997) = 0.001302453885790074019 C1(7,997) = 1.247033546260804561 C2(7,997) = 2.448588646449546733 C3(7,997) = 2.293748563462025709 C4(7,997) = 7976 Sum = 5637.321283461931625 Averaged sum = 0.5632252256431143596 logp*logq = 13.43602459996623014 -------------- ************************************* p = 11; q = 13; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 468.9423966326228953 -------------- Searches starting with [11,13]-exponents: u = 1, v = 14 n_start has 17 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(11,13) = 0.9705436000320325382 D2(11,13) = 0.08565860114351299898 C1(11,13) = 1.192254072878811623 C2(11,13) = 1.476263909265771551 C3(11,13) = 2.836965906752446619 C4(11,13) = 104 Sum = 6359.850529819991043 Averaged sum = 0.6354131811189920114 logp*logq = 6.150479939224236875 -------------- ************************************* p = 11; q = 17; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 892.2522504102644267 -------------- Searches starting with [11,17]-exponents: u = 1, v = 5 n_start has 8 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(11,17) = 1.429753810053371471 D2(11,17) = 0.03065986676735724781 C1(11,17) = 1.917312918885685827 C2(11,17) = 2.054238964334035516 C3(11,17) = 5.348763203281564067 C4(11,17) = 136 Sum = 5491.907128757830232 Averaged sum = 0.5486968856786722182 logp*logq = 6.793748884541663920 -------------- ************************************* p = 11; q = 19; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1164.976634046790525 -------------- Searches starting with [11,19]-exponents: u = 1, v = 4 n_start has 7 digits starting right neighbors generation We generated 10 left neighbors We generated 10000 right neighbors We generated 10009 non-negative rho_i D1(11,19) = 0.8032588949438974562 D2(11,19) = 0.09122651001839397191 C1(11,19) = 1.016413652395965676 C2(11,19) = 1.530402885991219172 C3(11,19) = 2.432565889517509259 C4(11,19) = 152 Sum = 6393.275967813035322 Averaged sum = 0.6387527193339030194 logp*logq = 7.060456309186467430 -------------- ************************************* p = 11; q = 23; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1841.962315732495995 -------------- Searches starting with [11,23]-exponents: u = 13, v = 3 n_start has 18 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(11,23) = 1.585492014603207556 D2(11,23) = 0.09403004368065172658 C1(11,23) = 2.074933169551443744 C2(11,23) = 1.705130134154849908 C3(11,23) = 6.139348752909447669 C4(11,23) = 184 Sum = 5710.292939136002743 Averaged sum = 0.5705158296669000642 logp*logq = 7.518586758263141354 -------------- ************************************* p = 11; q = 29; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3211.273135258239716 -------------- Searches starting with [11,29]-exponents: u = 7, v = 2 n_start has 11 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(11,29) = 1.246031123049190283 D2(11,29) = 0.1074609681289101521 C1(11,29) = 1.506140404165384701 C2(11,29) = 1.190997712462382350 C3(11,29) = 3.733168806432450566 C4(11,29) = 232 Sum = 7350.327548383037630 Averaged sum = 0.7343718202001236517 logp*logq = 8.074422752838231698 -------------- ************************************* p = 11; q = 31; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3768.158443167233399 -------------- Searches starting with [11,31]-exponents: u = 10, v = 2 n_start has 14 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(11,31) = 1.038653288232587254 D2(11,31) = 0.1917323904792360168 C1(11,31) = 1.229750787886908010 C2(11,31) = 1.299259414912701686 C3(11,31) = 2.931544573231680276 C4(11,31) = 248 Sum = 6427.938780067584177 Averaged sum = 0.6422158837114181414 logp*logq = 8.234341684485023611 -------------- ************************************* p = 11; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5759.483002738337113 -------------- Searches starting with [11,37]-exponents: u = 3, v = 85 n_start has 137 digits starting right neighbors generation We generated 4705 left neighbors We generated 5305 right neighbors We generated 10009 non-negative rho_i D1(11,37) = 1.041043148870978141 D2(11,37) = 0.006089102707923386846 C1(11,37) = 1.228694274361660080 C2(11,37) = 1.154287598117309690 C3(11,37) = 2.928837025480742414 C4(11,37) = 296 Sum = 6235.244713501414621 Averaged sum = 0.6229638039266075153 logp*logq = 8.658602993192545312 -------------- ************************************* p = 11; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7366.934119154939116 -------------- Searches starting with [11,41]-exponents: u = 3, v = 9 n_start has 18 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(11,41) = 1.031286981804375664 D2(11,41) = 0.04919100531690632540 C1(11,41) = 1.205922428880278693 C2(11,41) = 1.805345275108280149 C3(11,41) = 2.871083155797943131 C4(11,41) = 328 Sum = 5980.484351831053284 Averaged sum = 0.5975106755750877494 logp*logq = 8.904756903946334857 -------------- ************************************* p = 11; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8258.216948967915195 -------------- Searches starting with [11,43]-exponents: u = 3, v = 7 n_start has 15 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(11,43) = 0.9181542356427370258 D2(11,43) = 0.1806585986488416960 C1(11,43) = 1.253292269580926945 C2(11,43) = 1.298757901246336517 C3(11,43) = 2.992528311608928898 C4(11,43) = 344 Sum = 6185.920694321526909 Averaged sum = 0.6180358371786918682 logp*logq = 9.018963977470277719 -------------- ************************************* p = 11; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10221.52156423411269 -------------- Searches starting with [11,47]-exponents: u = 8, v = 3 n_start has 14 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(11,47) = 1.386316749195701185 D2(11,47) = 0.1205374255553691994 C1(11,47) = 1.642315457032858683 C2(11,47) = 1.320477533248455369 C3(11,47) = 4.205339160965048391 C4(11,47) = 376 Sum = 6876.240394894777066 Averaged sum = 0.6870057343285819828 logp*logq = 9.232250733716533035 -------------- ************************************* p = 11; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13634.30348549450993 -------------- Searches starting with [11,53]-exponents: u = 48, v = 3 n_start has 56 digits starting right neighbors generation We generated 848 left neighbors We generated 9162 right neighbors We generated 10009 non-negative rho_i D1(11,53) = 1.432538340604426184 D2(11,53) = 0.01396895889169069910 C1(11,53) = 1.704012440539295891 C2(11,53) = 1.692960695516003153 C3(11,53) = 4.438491635051866594 C4(11,53) = 424 Sum = 7001.305775514017110 Averaged sum = 0.6995010266274370176 logp*logq = 9.520344211136229787 -------------- ************************************* p = 11; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17632.65326795517472 -------------- Searches starting with [11,59]-exponents: u = 5, v = 7 n_start has 18 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(11,59) = 1.211040762029246070 D2(11,59) = 0.1409419159625118106 C1(11,59) = 1.584879822565274878 C2(11,59) = 1.886102581020281497 C3(11,59) = 3.999311557912157503 C4(11,59) = 472 Sum = 5398.030676477538200 Averaged sum = 0.5393176817341930462 logp*logq = 9.777507761399875672 -------------- ************************************* p = 11; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19100.02658601200559 -------------- Searches starting with [11,61]-exponents: u = 5, v = 4 n_start has 13 digits **************************************************** Computing .... elapsed time = 2 minutes **************************************************** starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(11,61) = 1.961455361145051193 D2(11,61) = 0.005353461980733474640 C1(11,61) = 2.651812062067111751 C2(11,61) = 2.010254713818320632 C3(11,61) = 10.16806553022419077 C4(11,61) = 488 Sum = 4514.043855322013511 Averaged sum = 0.4509984868939967540 logp*logq = 9.857445005971553836 -------------- ************************************* p = 11; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23918.62099298596037 -------------- Searches starting with [11,67]-exponents: u = 7, v = 1 n_start has 10 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(11,67) = 1.198121946347263371 D2(11,67) = 0.03781174445462366963 C1(11,67) = 1.736619127461091267 C2(11,67) = 1.139363119549428484 C3(11,67) = 4.566888521324754266 C4(11,67) = 536 Sum = 6010.177604673305126 Averaged sum = 0.6004773308695479194 logp*logq = 10.08241255560779577 -------------- ************************************* p = 11; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27486.76586670197210 -------------- Searches starting with [11,71]-exponents: u = 7, v = 1 n_start has 10 digits starting right neighbors generation We generated 13 left neighbors We generated 9997 right neighbors We generated 10009 non-negative rho_i D1(11,71) = 1.676859186195681233 D2(11,71) = 0.09034444246565244168 C1(11,71) = 2.205822241892843278 C2(11,71) = 1.724350418130429005 C3(11,71) = 6.883953510244279505 C4(11,71) = 568 Sum = 4146.727889740954026 Averaged sum = 0.4142999190469531448 logp*logq = 10.22145992661010965 -------------- ************************************* p = 11; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29380.08703353113710 -------------- Searches starting with [11,73]-exponents: u = 7, v = 1 n_start has 10 digits starting right neighbors generation We generated 13 left neighbors We generated 9997 right neighbors We generated 10009 non-negative rho_i D1(11,73) = 1.052017042187039376 D2(11,73) = 0.1214696611062221987 C1(11,73) = 1.312942183260239545 C2(11,73) = 1.966989411825339718 C3(11,73) = 3.152790456040402027 C4(11,73) = 584 Sum = 5248.431583294987995 Averaged sum = 0.5243712242276938750 logp*logq = 10.28807241206286578 -------------- ************************************* p = 11; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35506.75894541423650 -------------- Searches starting with [11,79]-exponents: u = 9, v = 1 n_start has 12 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(11,79) = 1.153447176695729687 D2(11,79) = 0.0004217111200276853535 C1(11,79) = 1.382369768503157253 C2(11,79) = 2.183501439323258288 C3(11,79) = 3.350161948643243802 C4(11,79) = 632 Sum = 6498.058491739303604 Averaged sum = 0.6492215497791291442 logp*logq = 10.47747835016966284 -------------- ************************************* p = 11; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39971.30116377173572 -------------- Searches starting with [11,83]-exponents: u = 11, v = 1 n_start has 14 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(11,83) = 0.8084953726573249324 D2(11,83) = 0.1257957408410912505 C1(11,83) = 0.9539963849034953672 C2(11,83) = 2.171096717583149739 C3(11,83) = 2.303332569698946552 C4(11,83) = 664 Sum = 5666.906567492811006 Averaged sum = 0.5661810937648926972 logp*logq = 10.59591700468494068 -------------- ************************************* p = 11; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47253.40209268867576 -------------- Searches starting with [11,89]-exponents: u = 13, v = 1 n_start has 16 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(11,89) = 0.8818161921401753186 D2(11,89) = 0.08886907996133297164 C1(11,89) = 1.061570564264469072 C2(11,89) = 2.043946251448888230 C3(11,89) = 2.530559609664027677 C4(11,89) = 712 Sum = 5091.450666561946133 Averaged sum = 0.5086872481328750257 logp*logq = 10.76327993229153709 -------------- ************************************* p = 11; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58085.87684758412193 -------------- Searches starting with [11,97]-exponents: u = 19, v = 1 n_start has 22 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(11,97) = 0.8587466257945671295 D2(11,97) = 0.03623042585423526780 C1(11,97) = 1.105491057183670760 C2(11,97) = 1.860695444941899207 C3(11,97) = 2.629655772156933728 C4(11,97) = 776 Sum = 5776.739440788311254 Averaged sum = 0.5771545050243092470 logp*logq = 10.96967782977206980 -------------- ************************************* p = 11; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63995.98786250866627 -------------- Searches starting with [11,101]-exponents: u = 25, v = 1 n_start has 29 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(11,101) = 0.7496562171889151720 D2(11,101) = 0.05567779878554084484 C1(11,101) = 0.8914176705374401709 C2(11,101) = 1.785394135897695951 C3(11,101) = 2.180657012418481928 C4(11,101) = 808 Sum = 5752.904815303834752 Averaged sum = 0.5747731856632865173 logp*logq = 11.06657567072842869 -------------- ************************************* p = 11; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67076.88190162149210 -------------- Searches starting with [11,103]-exponents: u = 27, v = 1 n_start has 31 digits starting right neighbors generation We generated 118 left neighbors We generated 9892 right neighbors We generated 10009 non-negative rho_i D1(11,103) = 1.046763253152965171 D2(11,103) = 0.03496564534396498102 C1(11,103) = 1.211513795550263760 C2(11,103) = 1.728054520186824416 C3(11,103) = 2.885157600087637149 C4(11,103) = 824 Sum = 5542.282429072095697 Averaged sum = 0.5537298860098007490 logp*logq = 11.11359473157741837 -------------- ************************************* p = 11; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73493.64161005683835 -------------- Searches starting with [11,107]-exponents: u = 37, v = 1 n_start has 41 digits starting right neighbors generation We generated 223 left neighbors We generated 9787 right neighbors We generated 10009 non-negative rho_i D1(11,107) = 1.568981642450348704 D2(11,107) = 0.008014628056087089848 C1(11,107) = 1.885837407197527906 C2(11,107) = 1.613100909332203796 C3(11,107) = 5.203529503066589151 C4(11,107) = 856 Sum = 7228.591176832440436 Averaged sum = 0.7222091294667239919 logp*logq = 11.20495417275212438 -------------- ************************************* p = 11; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76830.80226214429746 -------------- Searches starting with [11,109]-exponents: u = 43, v = 1 n_start has 47 digits starting right neighbors generation We generated 262 left neighbors We generated 9748 right neighbors We generated 10009 non-negative rho_i D1(11,109) = 1.164283672385719484 D2(11,109) = 0.03339003640984232996 C1(11,109) = 1.431783902619105734 C2(11,109) = 1.571872975137041000 C3(11,109) = 3.498120637057381411 C4(11,109) = 872 Sum = 6341.786925639033282 Averaged sum = 0.6336084449634362356 logp*logq = 11.24936090984991046 -------------- ************************************* p = 11; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83765.86823268579449 -------------- Searches starting with [11,113]-exponents: u = 69, v = 1 n_start has 74 digits starting right neighbors generation We generated 706 left neighbors We generated 9304 right neighbors We generated 10009 non-negative rho_i D1(11,113) = 1.090473163580037442 D2(11,113) = 0.002228843515725632972 C1(11,113) = 1.315719843402833014 C2(11,113) = 1.424283934679222920 C3(11,113) = 3.160458896231592343 C4(11,113) = 904 Sum = 4560.410539751477028 Averaged sum = 0.4556309860876688009 logp*logq = 11.33578090317492176 -------------- ************************************* p = 11; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110841.1434527360019 -------------- Searches starting with [11,127]-exponents: u = 2, v = 49 n_start has 106 digits starting right neighbors generation We generated 1268 left neighbors We generated 8742 right neighbors We generated 10009 non-negative rho_i D1(11,127) = 0.8738363661056283231 D2(11,127) = 0.01478624646869932181 C1(11,127) = 1.018080484835503733 C2(11,127) = 1.352697173563162156 C3(11,127) = 2.436114663543192549 C4(11,127) = 1016 Sum = 5888.828739163473603 Averaged sum = 0.5883533558960409234 logp*logq = 11.61585331516996752 -------------- ************************************* p = 11; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119397.3893860673004 -------------- Searches starting with [11,131]-exponents: u = 2, v = 30 n_start has 66 digits starting right neighbors generation We generated 517 left neighbors We generated 9493 right neighbors We generated 10009 non-negative rho_i D1(11,131) = 1.054570140333935125 D2(11,131) = 0.01836405386433343325 C1(11,131) = 1.215621734173368129 C2(11,131) = 1.498920613825559854 C3(11,131) = 2.895541944282471669 C4(11,131) = 1048 Sum = 4617.909105029110928 Averaged sum = 0.4613756723977531150 logp*logq = 11.69021261526331113 -------------- ************************************* p = 11; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132932.7983973431907 -------------- Searches starting with [11,137]-exponents: u = 2, v = 19 n_start has 43 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(11,137) = 0.8254803518876737987 D2(11,137) = 0.01617813559720594880 C1(11,137) = 0.9765452916353870326 C2(11,137) = 1.656700134941437297 C3(11,137) = 2.349207640627518858 C4(11,137) = 1096 Sum = 5499.308278741293836 Averaged sum = 0.5494363351724741568 logp*logq = 11.79759900430141127 -------------- ************************************* p = 11; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 137633.7868076708976 -------------- Searches starting with [11,139]-exponents: u = 2, v = 17 n_start has 39 digits starting right neighbors generation We generated 178 left neighbors We generated 9832 right neighbors We generated 10009 non-negative rho_i D1(11,139) = 0.7240833566295169899 D2(11,139) = 0.04930115916086551036 C1(11,139) = 0.8596066310016158635 C2(11,139) = 1.720118716225802406 C3(11,139) = 2.120823702586443339 C4(11,139) = 1112 Sum = 5311.578339273499425 Averaged sum = 0.5306802217277949270 logp*logq = 11.83235171800086856 -------------- ************************************* p = 11; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162582.2314360431216 -------------- Searches starting with [11,149]-exponents: u = 2, v = 11 n_start has 26 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(11,149) = 1.011128142772976827 D2(11,149) = 0.09629648235948712401 C1(11,149) = 1.239568941790547910 C2(11,149) = 1.931691118840301931 C3(11,149) = 2.956825761423295171 C4(11,149) = 1192 Sum = 5158.473562271814115 Averaged sum = 0.5153835110672209126 logp*logq = 11.99893919236348530 -------------- ************************************* p = 11; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167864.3686751654901 -------------- Searches starting with [11,151]-exponents: u = 2, v = 10 n_start has 24 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(11,151) = 0.8074968220395367070 D2(11,151) = 0.03710868242160059491 C1(11,151) = 1.032733966061747352 C2(11,151) = 1.929389122904942376 C3(11,151) = 2.467536359484204309 C4(11,151) = 1208 Sum = 5734.902796946927675 Averaged sum = 0.5729746025523956114 logp*logq = 12.03091160300508702 -------------- ************************************* p = 11; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184305.1182835803732 -------------- Searches starting with [11,157]-exponents: u = 2, v = 9 n_start has 22 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(11,157) = 0.8733980804003016756 D2(11,157) = 0.06960564603343718771 C1(11,157) = 1.040375309216907844 C2(11,157) = 2.034230062629690753 C3(11,157) = 2.484082262441195322 C4(11,157) = 1256 Sum = 5870.810837547975594 Averaged sum = 0.5865531858874988105 logp*logq = 12.12434791475129792 -------------- ************************************* p = 11; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 201648.1301140215670 -------------- Searches starting with [11,163]-exponents: u = 2, v = 8 n_start has 20 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10009 non-negative rho_i D1(11,163) = 1.145293975902270611 D2(11,163) = 0.04964920887695112182 C1(11,163) = 1.498881040722116835 C2(11,163) = 2.101884474143477645 C3(11,163) = 3.709542086726408880 C4(11,163) = 1304 Sum = 5222.149119126691319 Averaged sum = 0.5217453411056740253 logp*logq = 12.21427952733028611 -------------- ************************************* p = 11; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 213718.1070761817636 -------------- Searches starting with [11,167]-exponents: u = 2, v = 7 n_start has 18 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(11,167) = 0.8605260001832480862 D2(11,167) = 0.1500401589621270597 C1(11,167) = 1.012174637328401458 C2(11,167) = 2.206620515591465181 C3(11,167) = 2.423564077019039962 C4(11,167) = 1336 Sum = 5702.900484244997162 Averaged sum = 0.5697772489004892758 logp*logq = 12.27241316900544747 -------------- ************************************* p = 11; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 232594.8909345651712 -------------- Searches starting with [11,173]-exponents: u = 2, v = 6 n_start has 16 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(11,173) = 0.7376368234383720531 D2(11,173) = 0.05182237214588791539 C1(11,173) = 0.8774231642613743413 C2(11,173) = 2.218571741602995720 C3(11,173) = 2.154129588336438660 C4(11,173) = 1384 Sum = 5348.840748964991948 Averaged sum = 0.5344031120956131430 logp*logq = 12.35705355379780157 -------------- ************************************* p = 11; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 252409.4632484864804 -------------- Searches starting with [11,179]-exponents: u = 2, v = 6 n_start has 16 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(11,179) = 0.9560619548282368063 D2(11,179) = 0.1306913049225220122 C1(11,179) = 1.135363867077861907 C2(11,179) = 1.422204641713872198 C3(11,179) = 2.699264840474383225 C4(11,179) = 1432 Sum = 5117.563844846799192 Averaged sum = 0.5112962178885801970 logp*logq = 12.43880790200691242 -------------- ************************************* p = 11; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 259224.9397307668050 -------------- Searches starting with [11,181]-exponents: u = 2, v = 5 n_start has 14 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,181) = 1.159831138057499802 D2(11,181) = 0.1163699765798526998 C1(11,181) = 1.555308076438680316 C2(11,181) = 1.233934234096723043 C3(11,181) = 3.897202708071059740 C4(11,181) = 1448 Sum = 5677.157025820017412 Averaged sum = 0.5672052178859044272 logp*logq = 12.46545145692868664 -------------- ************************************* p = 11; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294902.9577893284427 -------------- Searches starting with [11,191]-exponents: u = 2, v = 5 n_start has 14 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(11,191) = 1.108005219479016384 D2(11,191) = 0.08217601875134240079 C1(11,191) = 1.361114404023113069 C2(11,191) = 2.407464440266879480 C3(11,191) = 3.288458549286527419 C4(11,191) = 1528 Sum = 5672.024001825386893 Averaged sum = 0.5666923770431998095 logp*logq = 12.59440162455750636 -------------- ************************************* p = 11; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 302361.9008741381085 -------------- Searches starting with [11,193]-exponents: u = 2, v = 5 n_start has 14 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(11,193) = 0.8337629818871064342 D2(11,193) = 0.09725156816924732986 C1(11,193) = 1.138169288681685627 C2(11,193) = 1.472709527656295310 C3(11,193) = 2.705895881727900302 C4(11,193) = 1544 Sum = 5334.237513496040374 Averaged sum = 0.5329441016581117368 logp*logq = 12.61937992617738875 -------------- ************************************* p = 11; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 317606.7452656458484 -------------- Searches starting with [11,197]-exponents: u = 2, v = 4 n_start has 12 digits starting right neighbors generation We generated 15 left neighbors We generated 9995 right neighbors We generated 10009 non-negative rho_i D1(11,197) = 0.9840157670611648501 D2(11,197) = 0.09826042993373214413 C1(11,197) = 1.342918726792344116 C2(11,197) = 1.367612328705884547 C3(11,197) = 3.236540933620761571 C4(11,197) = 1576 Sum = 5131.181196211596346 Averaged sum = 0.5126567285654507289 logp*logq = 12.66856924637154740 -------------- ************************************* p = 11; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 325393.5385705137968 -------------- Searches starting with [11,199]-exponents: u = 2, v = 4 n_start has 12 digits starting right neighbors generation We generated 15 left neighbors We generated 9995 right neighbors We generated 10009 non-negative rho_i D1(11,199) = 0.8431685395314096829 D2(11,199) = 0.1191426396771762887 C1(11,199) = 0.9980206493297730165 C2(11,199) = 2.119700681469562436 C3(11,199) = 2.393747811962466590 C4(11,199) = 1592 Sum = 5711.110385766597283 Averaged sum = 0.5705975008259164035 logp*logq = 12.69279061668766767 -------------- ************************************* p = 11; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 374443.1690729043892 -------------- Searches starting with [11,211]-exponents: u = 2, v = 4 n_start has 12 digits starting right neighbors generation We generated 15 left neighbors We generated 9995 right neighbors We generated 10009 non-negative rho_i D1(11,211) = 1.024567684252679324 D2(11,211) = 0.06694571779682306390 C1(11,211) = 1.202468518070350275 C2(11,211) = 1.747776246014934854 C3(11,211) = 2.862423386959847963 C4(11,211) = 1688 Sum = 5823.288566585730777 Averaged sum = 0.5818052319498182413 logp*logq = 12.83319531894977067 -------------- ************************************* p = 11; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 427552.1849609119025 -------------- Searches starting with [11,223]-exponents: u = 9, v = 3 n_start has 17 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(11,223) = 0.9832590623767575317 D2(11,223) = 0.04973620343398087162 C1(11,223) = 1.374639129761079580 C2(11,223) = 1.388864305239371719 C3(11,223) = 3.327587402033602185 C4(11,223) = 1784 Sum = 5897.334547218936739 Averaged sum = 0.5892031718672131821 logp*logq = 12.96583162999300998 -------------- ************************************* p = 11; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 446172.9794394606722 -------------- Searches starting with [11,227]-exponents: u = 9, v = 3 n_start has 17 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(11,227) = 0.7555484248316720409 D2(11,227) = 0.03890059555874627367 C1(11,227) = 0.8896588611848723298 C2(11,227) = 2.244583250963587950 C3(11,227) = 2.177305218249401880 C4(11,227) = 1816 Sum = 5308.483486108296213 Averaged sum = 0.5303710146976017797 logp*logq = 13.00846200208609312 -------------- ************************************* p = 11; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 455657.3160202102848 -------------- Searches starting with [11,229]-exponents: u = 9, v = 3 n_start has 17 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(11,229) = 0.8585209962094541969 D2(11,229) = 0.03340089096059665057 C1(11,229) = 1.071464091798001174 C2(11,229) = 2.241282828983677735 C3(11,229) = 2.552551026878997758 C4(11,229) = 1832 Sum = 5231.003766893409798 Averaged sum = 0.5226300096806284142 logp*logq = 13.02949630602320204 -------------- ************************************* p = 11; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 474975.8975110396434 -------------- Searches starting with [11,233]-exponents: u = 9, v = 3 n_start has 17 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(11,233) = 1.040373010803007888 D2(11,233) = 0.02270590111958231734 C1(11,233) = 1.323049733913922301 C2(11,233) = 2.234927795650276191 C3(11,233) = 3.180784601722376467 C4(11,233) = 1864 Sum = 4963.094463166891246 Averaged sum = 0.4958631694641713703 logp*logq = 13.07101933964733346 -------------- ************************************* p = 11; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 504834.5661619816586 -------------- Searches starting with [11,239]-exponents: u = 9, v = 3 n_start has 17 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(11,239) = 0.9476896429251913615 D2(11,239) = 0.007371685230401667203 C1(11,239) = 1.246718316664860676 C2(11,239) = 2.225962020557546847 C3(11,239) = 2.975372069894213243 C4(11,239) = 1912 Sum = 5235.807223344243497 Averaged sum = 0.5231099234033613245 logp*logq = 13.13198606282914308 -------------- ************************************* p = 11; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 515023.9271624559653 -------------- Searches starting with [11,241]-exponents: u = 16, v = 3 n_start has 24 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(11,241) = 0.9840179582070386502 D2(11,241) = 0.002160159927203757461 C1(11,241) = 1.294418711115969505 C2(11,241) = 1.971114622243405216 C3(11,241) = 3.102125279538400870 C4(11,241) = 1928 Sum = 5345.035120111333355 Averaged sum = 0.5340228914088653566 logp*logq = 13.15196863907624038 -------------- ************************************* p = 11; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 567761.9358463709567 -------------- Searches starting with [11,251]-exponents: u = 23, v = 3 n_start has 32 digits starting right neighbors generation We generated 171 left neighbors We generated 9839 right neighbors We generated 10009 non-negative rho_i D1(11,251) = 1.196538994085390823 D2(11,251) = 0.09890144451927951567 C1(11,251) = 1.460118852810250868 C2(11,251) = 2.073912002564773360 C3(11,251) = 3.585892391238759576 C4(11,251) = 2008 Sum = 5336.277936538742219 Averaged sum = 0.5331479604894337315 logp*logq = 13.24945748281396724 -------------- ************************************* p = 11; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 600851.6307267125661 -------------- Searches starting with [11,257]-exponents: u = 37, v = 3 n_start has 46 digits starting right neighbors generation We generated 404 left neighbors We generated 9606 right neighbors We generated 10009 non-negative rho_i D1(11,257) = 0.8406080192982090446 D2(11,257) = 0.04216096850581979708 C1(11,257) = 1.007909702673700566 C2(11,257) = 2.022789920231895786 C3(11,257) = 2.414540840145205391 C4(11,257) = 2056 Sum = 5222.484537736819963 Averaged sum = 0.5217788528061564555 logp*logq = 13.30610331236873706 -------------- ************************************* p = 11; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 635039.0760470325233 -------------- Searches starting with [11,263]-exponents: u = 79, v = 3 n_start has 90 digits starting right neighbors generation We generated 1553 left neighbors We generated 8457 right neighbors We generated 10009 non-negative rho_i D1(11,263) = 0.7488557933407344337 D2(11,263) = 0.02692051159806843370 C1(11,263) = 0.8987472318066961506 C2(11,263) = 1.867446196287168290 C3(11,263) = 2.194680733774499176 C4(11,263) = 2104 Sum = 4915.900809110576097 Averaged sum = 0.4911480476681562691 logp*logq = 13.36144181306344113 -------------- ************************************* p = 11; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 670334.3989844107894 -------------- Searches starting with [11,269]-exponents: u = 4937, v = 3 n_start has 5149 digits --- performed 5000 steps in the continued fraction search [11,269]-exponents: u = 4531, v = 176 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,269) = 0.8587901583687020707 D2(11,269) = 0.6967413035014456668 C1(11,269) = 0.9471019446694493552 C2(11,269) = 1.514894630007508173 C3(11,269) = 2.289485682526372639 C4(11,269) = 2152 Sum = 7231.652350108137296 Averaged sum = 0.7232375587666903986 logp*logq = 13.41553196981850000 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,269) = 0.8587901583687020707 D2(11,269) = 0.6967413035014456668 C1(11,269) = 0.9471019446694493552 C2(11,269) = 1.514894630007508173 C3(11,269) = 2.289485682526372639 C4(11,269) = 2152 Sum = 7231.652350108137296 Averaged sum = 0.7232375587666903986 logp*logq = 13.41553196981850000 -------------- ************************************* p = 11; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 682347.4320324360848 -------------- Searches starting with [11,271]-exponents: u = 7, v = 113 n_start has 283 digits --- performed 5000 steps in the continued fraction search [11,271]-exponents: u = 94, v = 55 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,271) = 0.8233296294886263793 D2(11,271) = 0.1615512271396896226 C1(11,271) = 0.9524696181586752681 C2(11,271) = 1.440176411578512798 C3(11,271) = 2.300258989067606855 C4(11,271) = 2168 Sum = 6049.760558184284030 Averaged sum = 0.6050365594743758405 logp*logq = 13.43329423824221632 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,271) = 0.8233296294886263793 D2(11,271) = 0.1615512271396896226 C1(11,271) = 0.9524696181586752681 C2(11,271) = 1.440176411578512798 C3(11,271) = 2.300258989067606855 C4(11,271) = 2168 Sum = 6049.760558184284030 Averaged sum = 0.6050365594743758405 logp*logq = 13.43329423824221632 -------------- ************************************* p = 11; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 719135.4403730271708 -------------- Searches starting with [11,277]-exponents: u = 7, v = 26 n_start has 71 digits starting right neighbors generation We generated 971 left neighbors We generated 9039 right neighbors We generated 10009 non-negative rho_i D1(11,277) = 0.8519572410289841948 D2(11,277) = 0.01970762970649938238 C1(11,277) = 1.005279659816740393 C2(11,277) = 1.953090409053001506 C3(11,277) = 2.408993265099323599 C4(11,277) = 2216 Sum = 5671.079723739907353 Averaged sum = 0.5665980341432617996 logp*logq = 13.48580499222189965 -------------- ************************************* p = 11; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 744288.5003620764829 -------------- Searches starting with [11,281]-exponents: u = 7, v = 17 n_start has 49 digits starting right neighbors generation We generated 440 left neighbors We generated 9570 right neighbors We generated 10009 non-negative rho_i D1(11,281) = 1.142745182867540308 D2(11,281) = 0.05870440514863425406 C1(11,281) = 1.366537312768009339 C2(11,281) = 1.994779134926182097 C3(11,281) = 3.304092191251454940 C4(11,281) = 2248 Sum = 5921.179904486161716 Averaged sum = 0.5915855634415188047 logp*logq = 13.52018400795600865 -------------- ************************************* p = 11; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 757054.4274354750600 -------------- Searches starting with [11,283]-exponents: u = 7, v = 14 n_start has 42 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(11,283) = 0.7031007974969178999 D2(11,283) = 0.07929389281411995597 C1(11,283) = 0.8331781091961034469 C2(11,283) = 2.016699954784041732 C3(11,283) = 2.072364849876270651 C4(11,283) = 2264 Sum = 5523.819557750173351 Averaged sum = 0.5518852590418796434 logp*logq = 13.53719042869294595 -------------- ************************************* p = 11; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 822792.2748327855450 -------------- Searches starting with [11,293]-exponents: u = 7, v = 8 n_start has 28 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(11,293) = 0.8563521909077464152 D2(11,293) = 0.03321090796823635215 C1(11,293) = 1.053101508434167370 C2(11,293) = 1.979436416820281342 C3(11,293) = 2.511885093736601983 C4(11,293) = 2344 Sum = 4857.210235608167251 Averaged sum = 0.4852842677198688431 logp*logq = 13.62045904784081276 -------------- ************************************* p = 11; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 920232.0467731542015 -------------- Searches starting with [11,307]-exponents: u = 7, v = 5 n_start has 20 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(11,307) = 0.7825257121593359200 D2(11,307) = 0.09511500053948222016 C1(11,307) = 0.9644986289129145792 C2(11,307) = 2.252232047003681420 C3(11,307) = 2.324586537028535791 C4(11,307) = 2456 Sum = 5249.010484384527081 Averaged sum = 0.5244290622823985494 logp*logq = 13.73238114197533601 -------------- ************************************* p = 11; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 949245.0761221469304 -------------- Searches starting with [11,311]-exponents: u = 7, v = 5 n_start has 20 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(11,311) = 0.7571982323875821707 D2(11,311) = 0.1126456863691673497 C1(11,311) = 1.023985946699874807 C2(11,311) = 2.272511794839383950 C3(11,311) = 2.448729418200847674 C4(11,311) = 2488 Sum = 5351.790062385802521 Averaged sum = 0.5346977782381659027 logp*logq = 13.76342229095617834 -------------- ************************************* p = 11; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 963948.8067342950045 -------------- Searches starting with [11,313]-exponents: u = 7, v = 5 n_start has 20 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(11,313) = 0.9255092081865425152 D2(11,313) = 0.09610449842394658049 C1(11,313) = 1.251452266047922775 C2(11,313) = 1.449040769019226386 C3(11,313) = 2.987716454511074501 C4(11,313) = 2504 Sum = 5004.935774916265386 Averaged sum = 0.5000435383071501035 logp*logq = 13.77879346713514789 -------------- ************************************* p = 11; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 993752.3801730297799 -------------- Searches starting with [11,317]-exponents: u = 12, v = 2 n_start has 18 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(11,317) = 1.165029216850171996 D2(11,317) = 0.07739199969448315180 C1(11,317) = 1.575074605878537985 C2(11,317) = 1.275354602225020613 C3(11,317) = 3.965161865216120321 C4(11,317) = 2536 Sum = 5493.359032357638324 Averaged sum = 0.5488419454848274876 logp*logq = 13.80924334009048184 -------------- ************************************* p = 11; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1102258.951753644639 -------------- Searches starting with [11,331]-exponents: u = 12, v = 2 n_start has 18 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(11,331) = 0.7199314730584765227 D2(11,331) = 0.04312963296517803314 C1(11,331) = 0.8657676273395776135 C2(11,331) = 2.313613415160850559 C3(11,331) = 2.132282295875376981 C4(11,331) = 2648 Sum = 5269.664450561604895 Averaged sum = 0.5264926017146173338 logp*logq = 13.91287222453322075 -------------- ************************************* p = 11; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1150778.635972489519 -------------- Searches starting with [11,337]-exponents: u = 12, v = 2 n_start has 18 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(11,337) = 1.006955227302726461 D2(11,337) = 0.01056107484485517281 C1(11,337) = 1.317858291228264128 C2(11,337) = 2.285854184572143417 C3(11,337) = 3.166375332436144753 C4(11,337) = 2696 Sum = 5424.499142027292332 Averaged sum = 0.5419621482692868750 logp*logq = 13.95594934598641625 -------------- ************************************* p = 11; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1234366.250565386857 -------------- Searches starting with [11,347]-exponents: u = 17, v = 2 n_start has 23 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(11,347) = 0.8669994100051776545 D2(11,347) = 0.1334963288187720999 C1(11,347) = 1.016224380722990032 C2(11,347) = 2.226027728426273098 C3(11,347) = 2.432163247139380584 C4(11,347) = 2776 Sum = 5527.457728582130135 Averaged sum = 0.5522487489841272989 logp*logq = 14.02606823889694268 -------------- ************************************* p = 11; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1251494.861714111369 -------------- Searches starting with [11,349]-exponents: u = 17, v = 2 n_start has 23 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(11,349) = 0.8162281835182861141 D2(11,349) = 0.1137932701710831666 C1(11,349) = 0.9696185713813515001 C2(11,349) = 2.207769608136227663 C3(11,349) = 2.335019044645995320 C4(11,349) = 2792 Sum = 5604.878371743971558 Averaged sum = 0.5599838517078600817 logp*logq = 14.03984928414366888 -------------- ************************************* p = 11; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1286165.696294551746 -------------- Searches starting with [11,353]-exponents: u = 22, v = 2 n_start has 29 digits starting right neighbors generation We generated 119 left neighbors We generated 9891 right neighbors We generated 10009 non-negative rho_i D1(11,353) = 0.7844427402983229266 D2(11,353) = 0.07716097052726927179 C1(11,353) = 0.9238877648634294483 C2(11,353) = 2.174002243032927489 C3(11,353) = 2.243471129715614978 C4(11,353) = 2824 Sum = 5529.530846360619461 Averaged sum = 0.5524558743491477132 logp*logq = 14.06717602174299443 -------------- ************************************* p = 11; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1339210.666753759653 -------------- Searches starting with [11,359]-exponents: u = 22, v = 2 n_start has 29 digits starting right neighbors generation We generated 119 left neighbors We generated 9891 right neighbors We generated 10009 non-negative rho_i D1(11,359) = 0.8663084898001974344 D2(11,359) = 0.02779249326429543691 C1(11,359) = 1.096222937738024962 C2(11,359) = 2.128870218569587354 C3(11,359) = 2.608426419501151830 C4(11,359) = 2872 Sum = 5242.016417377905662 Averaged sum = 0.5237302844817569849 logp*logq = 14.10759094370486243 -------------- ************************************* p = 11; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1411889.250704454865 -------------- Searches starting with [11,367]-exponents: u = 32, v = 2 n_start has 39 digits starting right neighbors generation We generated 219 left neighbors We generated 9791 right neighbors We generated 10009 non-negative rho_i D1(11,367) = 0.8408999859106781584 D2(11,367) = 0.06352555534575056432 C1(11,367) = 0.9849367535059073951 C2(11,367) = 2.044864150552935355 C3(11,367) = 2.366512133022018176 C4(11,367) = 2936 Sum = 5474.402298024841549 Averaged sum = 0.5469479766235229842 logp*logq = 14.16043925961390341 -------------- ************************************* p = 11; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1467872.894043257327 -------------- Searches starting with [11,373]-exponents: u = 37, v = 2 n_start has 44 digits starting right neighbors generation We generated 302 left neighbors We generated 9708 right neighbors We generated 10009 non-negative rho_i D1(11,373) = 0.7787170775327535314 D2(11,373) = 0.003145163849659687307 C1(11,373) = 0.9207289605102074749 C2(11,373) = 1.988365749594211971 C3(11,373) = 2.237281728433949362 C4(11,373) = 2984 Sum = 5318.832123636744184 Averaged sum = 0.5314049479105549190 logp*logq = 14.19932489996875100 -------------- ************************************* p = 11; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1525129.676587468918 -------------- Searches starting with [11,379]-exponents: u = 47, v = 2 n_start has 55 digits starting right neighbors generation We generated 452 left neighbors We generated 9558 right neighbors We generated 10009 non-negative rho_i D1(11,379) = 1.259136911965974671 D2(11,379) = 0.004289344722575234796 C1(11,379) = 1.537842934383791903 C2(11,379) = 1.902401729295231623 C3(11,379) = 3.838125815987832706 C4(11,379) = 3032 Sum = 6454.554568628284655 Averaged sum = 0.6448750693004580532 logp*logq = 14.23758999823632652 -------------- ************************************* p = 11; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1564012.172515769537 -------------- Searches starting with [11,383]-exponents: u = 62, v = 2 n_start has 70 digits starting right neighbors generation We generated 765 left neighbors We generated 9245 right neighbors We generated 10009 non-negative rho_i D1(11,383) = 1.186297930079823662 D2(11,383) = 0.003633016146239343054 C1(11,383) = 1.383836379180309336 C2(11,383) = 1.834068630300986467 C3(11,383) = 3.354461908482060847 C4(11,383) = 3064 Sum = 5535.652334779133000 Averaged sum = 0.5530674727524361075 logp*logq = 14.26276498299557811 -------------- ************************************* p = 11; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1623408.837345253461 -------------- Searches starting with [11,389]-exponents: u = 92, v = 2 n_start has 101 digits starting right neighbors generation We generated 1545 left neighbors We generated 8465 right neighbors We generated 10009 non-negative rho_i D1(11,389) = 0.7545482331757324149 D2(11,389) = 0.01017366607635586360 C1(11,389) = 0.8988046600078347641 C2(11,389) = 1.701345157154873335 C3(11,389) = 2.194790967037869615 C4(11,389) = 3112 Sum = 5596.793970007471751 Averaged sum = 0.5591761384761186683 logp*logq = 14.30003871702068182 -------------- ************************************* p = 11; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1704619.574232163668 -------------- Searches starting with [11,397]-exponents: u = 272, v = 2 n_start has 289 digits --- performed 5000 steps in the continued fraction search [11,397]-exponents: u = 129, v = 39 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,397) = 0.6394766798711692424 D2(11,397) = 0.07345556929414574227 C1(11,397) = 0.7490236048894309744 C2(11,397) = 1.417015893822385819 C3(11,397) = 1.925314999473079140 C4(11,397) = 3176 Sum = 6003.416222479097520 Averaged sum = 0.6004016624141511671 logp*logq = 14.34885252018647727 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,397) = 0.6394766798711692424 D2(11,397) = 0.07345556929414574227 C1(11,397) = 0.7490236048894309744 C2(11,397) = 1.417015893822385819 C3(11,397) = 1.925314999473079140 C4(11,397) = 3176 Sum = 6003.416222479097520 Averaged sum = 0.6004016624141511671 logp*logq = 14.34885252018647727 -------------- ************************************* p = 11; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1746093.861358731408 -------------- Searches starting with [11,401]-exponents: u = 3857, v = 2 n_start has 4022 digits --- performed 5000 steps in the continued fraction search [11,401]-exponents: u = 2014, v = 738 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,401) = 0.8526565724942690379 D2(11,401) = 0.6821059192305935277 C1(11,401) = 0.9429639294551022855 C2(11,401) = 1.566123700970356286 C3(11,401) = 2.281214843381089513 C4(11,401) = 3208 Sum = 7080.908790379269594 Averaged sum = 0.7081616952074477041 logp*logq = 14.37289177187419619 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,401) = 0.8526565724942690379 D2(11,401) = 0.6821059192305935277 C1(11,401) = 0.9429639294551022855 C2(11,401) = 1.566123700970356286 C3(11,401) = 2.281214843381089513 C4(11,401) = 3208 Sum = 7080.908790379269594 Averaged sum = 0.7081616952074477041 logp*logq = 14.37289177187419619 -------------- ************************************* p = 11; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1830791.865534432392 -------------- Searches starting with [11,409]-exponents: u = 5, v = 63 n_start has 170 digits starting right neighbors generation We generated 4403 left neighbors We generated 5607 right neighbors We generated 10009 non-negative rho_i D1(11,409) = 0.9571532616814029188 D2(11,409) = 0.002547306449579650951 C1(11,409) = 1.122507091584684506 C2(11,409) = 1.564436313886361096 C3(11,409) = 2.669083165062509100 C4(11,409) = 3272 Sum = 5479.877656837852760 Averaged sum = 0.5474950201656362034 logp*logq = 14.42025914463094958 -------------- ************************************* p = 11; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1939968.195141263633 -------------- Searches starting with [11,419]-exponents: u = 5, v = 27 n_start has 77 digits starting right neighbors generation We generated 850 left neighbors We generated 9160 right neighbors We generated 10009 non-negative rho_i D1(11,419) = 0.6928313922473373381 D2(11,419) = 0.02487425371694121305 C1(11,419) = 0.8152750708458233948 C2(11,419) = 1.811022951948380240 C3(11,419) = 2.040168804372652365 C4(11,419) = 3352 Sum = 5328.786315844422841 Averaged sum = 0.5323994720595886543 logp*logq = 14.47818213664804297 -------------- ************************************* p = 11; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1962246.811648810702 -------------- Searches starting with [11,421]-exponents: u = 5, v = 25 n_start has 71 digits starting right neighbors generation We generated 773 left neighbors We generated 9237 right neighbors We generated 10009 non-negative rho_i D1(11,421) = 1.285184274023345474 D2(11,421) = 0.009649250119988545053 C1(11,421) = 1.556479804012692010 C2(11,421) = 1.852234850724338781 C3(11,421) = 3.901198541608940590 C4(11,421) = 3368 Sum = 4233.801718955454352 Averaged sum = 0.4229994723704120644 logp*logq = 14.48960070714320481 -------------- ************************************* p = 11; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2075872.102152502795 -------------- Searches starting with [11,431]-exponents: u = 5, v = 15 n_start has 45 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(11,431) = 0.9140763964117379192 D2(11,431) = 0.06930457439419326116 C1(11,431) = 1.126626464221205485 C2(11,431) = 1.984958740280732082 C3(11,431) = 2.678716595059998165 C4(11,431) = 3448 Sum = 4960.915554046421230 Averaged sum = 0.4956454744776122720 logp*logq = 14.54589191354372883 -------------- ************************************* p = 11; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2099045.552096254321 -------------- Searches starting with [11,433]-exponents: u = 5, v = 15 n_start has 45 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(11,433) = 0.7583326608310689945 D2(11,433) = 0.01306804470932162330 C1(11,433) = 0.8835103662550372502 C2(11,433) = 2.018942830430152961 C3(11,433) = 2.165628355972643767 C4(11,433) = 3464 Sum = 5384.860566850742257 Averaged sum = 0.5380018550155602215 logp*logq = 14.55699330037589059 -------------- ************************************* p = 11; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2169467.665442103661 -------------- Searches starting with [11,439]-exponents: u = 5, v = 13 n_start has 40 digits starting right neighbors generation We generated 223 left neighbors We generated 9787 right neighbors We generated 10009 non-negative rho_i D1(11,439) = 0.7834771067901174852 D2(11,439) = 0.06449956962843777809 C1(11,439) = 0.9794731737446130476 C2(11,439) = 2.072826506460203860 C3(11,439) = 2.355230966395631285 C4(11,439) = 3512 Sum = 5249.926947009728377 Averaged sum = 0.5245206261374491334 logp*logq = 14.58999237995741347 -------------- ************************************* p = 11; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2217169.956102574888 -------------- Searches starting with [11,443]-exponents: u = 5, v = 11 n_start has 35 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(11,443) = 0.7708744205944666366 D2(11,443) = 0.1019943523702976364 C1(11,443) = 0.8963005054284014269 C2(11,443) = 2.111937225496615950 C3(11,443) = 2.189989388883131207 C4(11,443) = 3544 Sum = 5122.234776188138348 Averaged sum = 0.5117628910168986260 logp*logq = 14.61174214605828459 -------------- ************************************* p = 11; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2289860.171964382475 -------------- Searches starting with [11,449]-exponents: u = 5, v = 9 n_start has 30 digits starting right neighbors generation We generated 122 left neighbors We generated 9888 right neighbors We generated 10009 non-negative rho_i D1(11,449) = 0.8199694328021045690 D2(11,449) = 0.02987269982020223798 C1(11,449) = 0.9607578226414252799 C2(11,449) = 2.165262643109207607 C3(11,449) = 2.316993668362392943 C4(11,449) = 3592 Sum = 5231.279888467943980 Averaged sum = 0.5226575970094858607 logp*logq = 14.64400131338860551 -------------- ************************************* p = 11; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2388913.816238951634 -------------- Searches starting with [11,457]-exponents: u = 5, v = 9 n_start has 30 digits starting right neighbors generation We generated 122 left neighbors We generated 9888 right neighbors We generated 10009 non-negative rho_i D1(11,457) = 0.8755639325275267684 D2(11,457) = 0.08136223493530035181 C1(11,457) = 1.119828805926909524 C2(11,457) = 2.220081690516305481 C3(11,457) = 2.662838406557633456 C4(11,457) = 3656 Sum = 5362.321870661888030 Averaged sum = 0.5357500120553389978 logp*logq = 14.68634935041190811 -------------- ************************************* p = 11; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2439359.769993718820 -------------- Searches starting with [11,461]-exponents: u = 5, v = 7 n_start has 24 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(11,461) = 0.7459992409776585668 D2(11,461) = 0.1090552946291993866 C1(11,461) = 0.9540827081746573594 C2(11,461) = 2.249417324178247299 C3(11,461) = 2.303506472319395379 C4(11,461) = 3688 Sum = 5411.713458252164812 Averaged sum = 0.5406847295686047369 logp*logq = 14.70724617349244053 -------------- ************************************* p = 11; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2464813.463896976536 -------------- Searches starting with [11,463]-exponents: u = 5, v = 7 n_start has 24 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(11,463) = 0.7549955760785893397 D2(11,463) = 0.1234911191974043929 C1(11,463) = 0.9137727044983030933 C2(11,463) = 2.264669003516618264 C3(11,463) = 2.223711692471803803 C4(11,463) = 3704 Sum = 5041.974260678546904 Averaged sum = 0.5037440564170793190 logp*logq = 14.71762668872004945 -------------- ************************************* p = 11; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2516183.612363327382 -------------- Searches starting with [11,467]-exponents: u = 5, v = 7 n_start has 24 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(11,467) = 2.338604092541761747 D2(11,467) = 0.1537309134756086168 C1(11,467) = 2.716865237951917733 C2(11,467) = 2.296529800076991815 C3(11,467) = 10.76335087301289941 C4(11,467) = 3736 Sum = 6286.324621089338782 Averaged sum = 0.6280672016274691559 logp*logq = 14.73825387202656684 -------------- ************************************* p = 11; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2674015.110855435387 -------------- Searches starting with [11,479]-exponents: u = 5, v = 5 n_start has 19 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(11,479) = 0.9232568294467653857 D2(11,479) = 0.01437797235808405989 C1(11,479) = 1.082954854096886767 C2(11,479) = 2.348826202974013615 C3(11,479) = 2.578332787066028573 C4(11,479) = 3832 Sum = 5679.832545461677374 Averaged sum = 0.5674725292698248950 logp*logq = 14.79909168765851305 -------------- ************************************* p = 11; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2782357.888653889528 -------------- Searches starting with [11,487]-exponents: u = 5, v = 5 n_start has 19 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(11,487) = 1.024772138312644804 D2(11,487) = 0.04399942982307964352 C1(11,487) = 1.229302360593053855 C2(11,487) = 2.381856676719530671 C3(11,487) = 2.930395074294682271 C4(11,487) = 3896 Sum = 5289.504834388775695 Averaged sum = 0.5284748560684159951 logp*logq = 14.83880928756749592 -------------- ************************************* p = 11; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2837472.026433903875 -------------- Searches starting with [11,491]-exponents: u = 5, v = 5 n_start has 19 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(11,491) = 0.8772162631123210527 D2(11,491) = 0.05925188163344115098 C1(11,491) = 1.100631709645291380 C2(11,491) = 2.398792228976050109 C3(11,491) = 2.618503598583283717 C4(11,491) = 3928 Sum = 5003.019223884660459 Averaged sum = 0.4998520555384814126 logp*logq = 14.85842408219770315 -------------- ************************************* p = 11; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2949596.055971058921 -------------- Searches starting with [11,499]-exponents: u = 5, v = 5 n_start has 19 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(11,499) = 1.202709797099043129 D2(11,499) = 0.09078284777426676263 C1(11,499) = 1.462880813432789879 C2(11,499) = 2.433647746748908451 C3(11,499) = 3.594564896518888267 C4(11,499) = 3992 Sum = 6078.651438518837137 Averaged sum = 0.6073185571504483102 logp*logq = 14.89717878876090760 -------------- ************************************* p = 11; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3006610.020179580503 -------------- Searches starting with [11,503]-exponents: u = 5, v = 5 n_start has 19 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(11,503) = 0.9860558621229392034 D2(11,503) = 0.1037667971981412685 C1(11,503) = 1.152304715229073469 C2(11,503) = 1.640676874884096823 C3(11,503) = 2.739555756091419550 C4(11,503) = 4024 Sum = 5453.810803470189416 Averaged sum = 0.5448906787361564008 logp*logq = 14.91632376289817637 -------------- ************************************* p = 11; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3093326.592205783728 -------------- Searches starting with [11,509]-exponents: u = 5, v = 5 n_start has 19 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(11,509) = 1.326146792410196169 D2(11,509) = 0.06828230844805221469 C1(11,509) = 1.778392540474476536 C2(11,509) = 1.211514919072015086 C3(11,509) = 4.736823632519326532 C4(11,509) = 4072 Sum = 4814.794373352417595 Averaged sum = 0.4810464954893013882 logp*logq = 14.94475763684807915 -------------- ************************************* p = 11; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3271088.797106107463 -------------- Searches starting with [11,521]-exponents: u = 13, v = 3 n_start has 22 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(11,521) = 0.9578222377145889409 D2(11,521) = 0.1015182247086294302 C1(11,521) = 1.162422281200724547 C2(11,521) = 2.341842326654562235 C3(11,521) = 2.763904932614544646 C4(11,521) = 4168 Sum = 5406.175540692077623 Averaged sum = 0.5401314357770084547 logp*logq = 15.00063345292860769 -------------- ************************************* p = 11; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3301279.908747753087 -------------- Searches starting with [11,523]-exponents: u = 13, v = 3 n_start has 22 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(11,523) = 0.7492049918081094007 D2(11,523) = 0.09647700613526575620 C1(11,523) = 0.9194040365340533713 C2(11,523) = 2.337719117227714639 C3(11,523) = 2.234690741455367199 C4(11,523) = 4184 Sum = 5057.204132622162294 Averaged sum = 0.5052656741554763008 logp*logq = 15.00982080237758198 -------------- ************************************* p = 11; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3580311.402326573719 -------------- Searches starting with [11,541]-exponents: u = 13, v = 3 n_start has 22 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(11,541) = 1.217107113747096119 D2(11,541) = 0.05419318292191111749 C1(11,541) = 1.566761310814200344 C2(11,541) = 2.303539766022743154 C3(11,541) = 3.936436772027276469 C4(11,541) = 4328 Sum = 4010.021549948370227 Averaged sum = 0.4006415775750195052 logp*logq = 15.09096033848410823 -------------- ************************************* p = 11; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3676265.484679488757 -------------- Searches starting with [11,547]-exponents: u = 21, v = 3 n_start has 31 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(11,547) = 0.7038434203374015498 D2(11,547) = 0.03740243340053728935 C1(11,547) = 0.8166832880875466169 C2(11,547) = 2.082611827868701637 C3(11,547) = 2.042683054166622360 C4(11,547) = 4376 Sum = 5176.291855245759175 Averaged sum = 0.5171637381602317089 logp*logq = 15.11740798092701710 -------------- ************************************* p = 11; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3839486.918954036313 -------------- Searches starting with [11,557]-exponents: u = 29, v = 3 n_start has 39 digits starting right neighbors generation We generated 197 left neighbors We generated 9813 right neighbors We generated 10009 non-negative rho_i D1(11,557) = 1.102808620365987139 D2(11,557) = 0.01747781018053449820 C1(11,557) = 1.389242294472348157 C2(11,557) = 1.938404199822364152 C3(11,557) = 3.370359244884203589 C4(11,557) = 4456 Sum = 3513.346667824401974 Averaged sum = 0.3510187499075234264 logp*logq = 15.16084930078092983 -------------- ************************************* p = 11; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3939409.045710515806 -------------- Searches starting with [11,563]-exponents: u = 29, v = 3 n_start has 39 digits starting right neighbors generation We generated 197 left neighbors We generated 9813 right neighbors We generated 10009 non-negative rho_i D1(11,563) = 0.7647167892246733411 D2(11,563) = 0.007403600153019266831 C1(11,563) = 0.9090218210682812359 C2(11,563) = 1.930304984698781738 C3(11,563) = 2.214491157994831935 C4(11,563) = 4504 Sum = 5053.489158683838818 Averaged sum = 0.5048945108086560913 logp*logq = 15.18654128162638563 -------------- ************************************* p = 11; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4040830.928618247425 -------------- Searches starting with [11,569]-exponents: u = 37, v = 3 n_start has 47 digits starting right neighbors generation We generated 343 left neighbors We generated 9667 right neighbors We generated 10009 non-negative rho_i D1(11,569) = 0.8109554491292858149 D2(11,569) = 0.07744890954430013815 C1(11,569) = 0.9437166382073807868 C2(11,569) = 2.129391203161186631 C3(11,569) = 2.282717090249534076 C4(11,569) = 4552 Sum = 5347.766410136829831 Averaged sum = 0.5342957748163482696 logp*logq = 15.21196090418960364 -------------- ************************************* p = 11; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4074972.598929986152 -------------- Searches starting with [11,571]-exponents: u = 45, v = 3 n_start has 56 digits starting right neighbors generation We generated 496 left neighbors We generated 9514 right neighbors We generated 10009 non-negative rho_i D1(11,571) = 1.712877082679529521 D2(11,571) = 0.06741966790574198145 C1(11,571) = 2.106415396240228606 C2(11,571) = 2.120158848311902012 C3(11,571) = 6.310738804521675053 C4(11,571) = 4568 Sum = 4433.836518788155422 Averaged sum = 0.4429849654099465902 logp*logq = 15.22037458044553222 -------------- ************************************* p = 11; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4178404.011070475745 -------------- Searches starting with [11,577]-exponents: u = 53, v = 3 n_start has 64 digits starting right neighbors generation We generated 673 left neighbors We generated 9337 right neighbors We generated 10009 non-negative rho_i D1(11,577) = 0.7046670174637159959 D2(11,577) = 0.03885080346863499381 C1(11,577) = 0.8239942672653823260 C2(11,577) = 2.093963777246158050 C3(11,577) = 2.055786059939112020 C4(11,577) = 4616 Sum = 5364.735535626508322 Averaged sum = 0.5359911615172852754 logp*logq = 15.24543991605744988 -------------- ************************************* p = 11; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4354158.308489863274 -------------- Searches starting with [11,587]-exponents: u = 109, v = 3 n_start has 122 digits starting right neighbors generation We generated 2514 left neighbors We generated 7496 right neighbors We generated 10009 non-negative rho_i D1(11,587) = 0.9365119457599920095 D2(11,587) = 0.02282702394592277696 C1(11,587) = 1.111102553476254272 C2(11,587) = 1.952777611685906595 C3(11,587) = 2.642593229183507731 C4(11,587) = 4696 Sum = 4918.519750187286270 Averaged sum = 0.4914097062830738605 logp*logq = 15.28664187943807636 -------------- ************************************* p = 11; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4461642.212279782482 -------------- Searches starting with [11,593]-exponents: u = 229, v = 3 n_start has 247 digits --- performed 5000 steps in the continued fraction search [11,593]-exponents: u = 86, v = 31 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,593) = 0.7513865430906447506 D2(11,593) = 0.03204775953444860436 C1(11,593) = 0.8723268847941853456 C2(11,593) = 1.706894512673416991 C3(11,593) = 2.144549649092704129 C4(11,593) = 4744 Sum = 5833.423064949937784 Averaged sum = 0.5834006465596497433 logp*logq = 15.31102746525527853 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,593) = 0.7513865430906447506 D2(11,593) = 0.03204775953444860436 C1(11,593) = 0.8723268847941853456 C2(11,593) = 1.706894512673416991 C3(11,593) = 2.144549649092704129 C4(11,593) = 4744 Sum = 5833.423064949937784 Averaged sum = 0.5834006465596497433 logp*logq = 15.31102746525527853 -------------- ************************************* p = 11; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4570657.174674330622 -------------- Searches starting with [11,599]-exponents: u = 8, v = 913 n_start has 2545 digits --- performed 5000 steps in the continued fraction search [11,599]-exponents: u = 1000, v = 539 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,599) = 0.7803308172379243789 D2(11,599) = 0.6430719440449702999 C1(11,599) = 0.8678528362530560458 C2(11,599) = 1.620087586205148488 C3(11,599) = 2.136174499391485517 C4(11,599) = 4792 Sum = 6851.500337452340675 Averaged sum = 0.6852185556007941469 logp*logq = 15.33516755442998859 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,599) = 0.7803308172379243789 D2(11,599) = 0.6430719440449702999 C1(11,599) = 0.8678528362530560458 C2(11,599) = 1.620087586205148488 C3(11,599) = 2.136174499391485517 C4(11,599) = 4792 Sum = 6851.500337452340675 Averaged sum = 0.6852185556007941469 logp*logq = 15.33516755442998859 -------------- ************************************* p = 11; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4607336.793940509673 -------------- Searches starting with [11,601]-exponents: u = 8, v = 187 n_start has 528 digits --- performed 5000 steps in the continued fraction search [11,601]-exponents: u = 74, v = 152 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,601) = 0.6248470202536788062 D2(11,601) = 0.3206768349102051813 C1(11,601) = 0.7142496973744720512 C2(11,601) = 1.532597680083047307 C3(11,601) = 1.867641921488379135 C4(11,601) = 4808 Sum = 6163.649059867872790 Averaged sum = 0.6164265486416514441 logp*logq = 15.34316054607357349 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(11,601) = 0.6248470202536788062 D2(11,601) = 0.3206768349102051813 C1(11,601) = 0.7142496973744720512 C2(11,601) = 1.532597680083047307 C3(11,601) = 1.867641921488379135 C4(11,601) = 4808 Sum = 6163.649059867872790 Averaged sum = 0.6164265486416514441 logp*logq = 15.34316054607357349 -------------- ************************************* p = 11; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4718402.720774977981 -------------- Searches starting with [11,607]-exponents: u = 8, v = 55 n_start has 162 digits starting right neighbors generation We generated 4397 left neighbors We generated 5613 right neighbors We generated 10009 non-negative rho_i D1(11,607) = 0.7266212038954591744 D2(11,607) = 0.01581829145834755199 C1(11,607) = 0.9110873249495769698 C2(11,607) = 1.885429292580551867 C3(11,607) = 2.218495189531983158 C4(11,607) = 4856 Sum = 5542.764837339508258 Averaged sum = 0.5537780834588378717 logp*logq = 15.36698089367382737 -------------- ************************************* p = 11; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4831013.987889508841 -------------- Searches starting with [11,613]-exponents: u = 8, v = 31 n_start has 95 digits starting right neighbors generation We generated 1492 left neighbors We generated 8518 right neighbors We generated 10009 non-negative rho_i D1(11,613) = 0.7670796304821559534 D2(11,613) = 0.02955845965841373076 C1(11,613) = 0.9158054406890039506 C2(11,613) = 2.000531659089769256 C3(11,613) = 2.227668553502047845 C4(11,613) = 4904 Sum = 5442.821506113959921 Averaged sum = 0.5437927371479628255 logp*logq = 15.39056693897625771 -------------- ************************************* p = 11; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4906949.682404795617 -------------- Searches starting with [11,617]-exponents: u = 8, v = 25 n_start has 79 digits starting right neighbors generation We generated 1047 left neighbors We generated 8963 right neighbors We generated 10009 non-negative rho_i D1(11,617) = 0.6981006941300698960 D2(11,617) = 0.007924312069081875001 C1(11,617) = 0.8212996767424145709 C2(11,617) = 2.126905358064287096 C3(11,617) = 2.050946963849422012 C4(11,617) = 4936 Sum = 5178.063815231486176 Averaged sum = 0.5173407748258053927 logp*logq = 15.40616306077141059 -------------- ************************************* p = 11; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4945176.655277968873 -------------- Searches starting with [11,619]-exponents: u = 8, v = 22 n_start has 70 digits starting right neighbors generation We generated 829 left neighbors We generated 9181 right neighbors We generated 10009 non-negative rho_i D1(11,619) = 0.7480633143316743387 D2(11,619) = 0.01452255113722675022 C1(11,619) = 0.8833440828217601012 C2(11,619) = 2.134124663891174698 C3(11,619) = 2.165313431415819215 C4(11,619) = 4952 Sum = 5368.437655634713574 Averaged sum = 0.5363610406269071410 logp*logq = 15.41392324642067365 -------------- ************************************* p = 11; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5178180.253351935080 -------------- Searches starting with [11,631]-exponents: u = 8, v = 13 n_start has 45 digits starting right neighbors generation We generated 319 left neighbors We generated 9691 right neighbors We generated 10009 non-negative rho_i D1(11,631) = 0.7216902865634013554 D2(11,631) = 0.05565687787874124576 C1(11,631) = 0.8533039618718334173 C2(11,631) = 2.178942870121991492 C3(11,631) = 2.109165332194633050 C4(11,631) = 5048 Sum = 5122.928132505282171 Averaged sum = 0.5118321643026558268 logp*logq = 15.45996425007279603 -------------- ************************************* p = 11; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5377143.174827450983 -------------- Searches starting with [11,641]-exponents: u = 8, v = 10 n_start has 37 digits starting right neighbors generation We generated 197 left neighbors We generated 9813 right neighbors We generated 10009 non-negative rho_i D1(11,641) = 0.7818826472245290763 D2(11,641) = 0.09236024878660672102 C1(11,641) = 0.9475787122868507747 C2(11,641) = 2.218661875387341767 C3(11,641) = 2.290440544117771969 C4(11,641) = 5128 Sum = 4840.326138497892096 Averaged sum = 0.4835973762111991303 logp*logq = 15.49766778270669471 -------------- ************************************* p = 11; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5417461.292571342908 -------------- Searches starting with [11,643]-exponents: u = 8, v = 10 n_start has 37 digits starting right neighbors generation We generated 197 left neighbors We generated 9813 right neighbors We generated 10009 non-negative rho_i D1(11,643) = 0.6516385868340847420 D2(11,643) = 0.1000184484017965381 C1(11,643) = 0.7786115110295854570 C2(11,643) = 2.226917431874909181 C3(11,643) = 1.975787233534873180 C4(11,643) = 5144 Sum = 5311.315840801773236 Averaged sum = 0.5306539954842415062 logp*logq = 15.50513786747951082 -------------- ************************************* p = 11; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5498624.805075230011 -------------- Searches starting with [11,647]-exponents: u = 8, v = 10 n_start has 37 digits starting right neighbors generation We generated 197 left neighbors We generated 9813 right neighbors We generated 10009 non-negative rho_i D1(11,647) = 0.9392497368659056365 D2(11,647) = 0.1156961415816762725 C1(11,647) = 1.188514386041272893 C2(11,647) = 2.243784165411162724 C3(11,647) = 2.827702206008625608 C4(11,647) = 5176 Sum = 4953.856971441758847 Averaged sum = 0.4949402509183493702 logp*logq = 15.52000858349775970 -------------- ************************************* p = 11; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5621691.518761908042 -------------- Searches starting with [11,653]-exponents: u = 8, v = 7 n_start has 29 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(11,653) = 0.6960751767341691259 D2(11,653) = 0.1402146142675734394 C1(11,653) = 0.8142104688268007768 C2(11,653) = 2.270072191670966153 C3(11,653) = 2.038270104095303640 C4(11,653) = 5224 Sum = 5317.325488845139684 Averaged sum = 0.5312544199065980301 logp*logq = 15.54214315856998708 -------------- ************************************* p = 11; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5746349.148503841732 -------------- Searches starting with [11,659]-exponents: u = 8, v = 7 n_start has 29 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(11,659) = 0.8222732724618394982 D2(11,659) = 0.1661216665185249751 C1(11,659) = 0.9645044880334433069 C2(11,659) = 2.297732265700594234 C3(11,659) = 2.324598449022290774 C4(11,659) = 5272 Sum = 5205.097647330169118 Averaged sum = 0.5200417271785562112 logp*logq = 15.56407528042469341 -------------- ************************************* p = 11; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5788256.232114775643 -------------- Searches starting with [11,661]-exponents: u = 8, v = 7 n_start has 29 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(11,661) = 0.8573246281157666483 D2(11,661) = 0.1751088820805298475 C1(11,661) = 1.036949512454542002 C2(11,661) = 2.307300200786916058 C3(11,661) = 2.476650662642281406 C4(11,661) = 5288 Sum = 5096.982109464299177 Averaged sum = 0.5092398950408931139 logp*logq = 15.57134163529662551 -------------- ************************************* p = 11; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6043436.370380138658 -------------- Searches starting with [11,673]-exponents: u = 8, v = 4 n_start has 20 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(11,673) = 0.9940266651455309982 D2(11,673) = 0.006274498594483644176 C1(11,673) = 1.289283983053598890 C2(11,673) = 2.397775712778965759 C3(11,673) = 3.088225523508954261 C4(11,673) = 5384 Sum = 5215.720270722237639 Averaged sum = 0.5211030343413165790 logp*logq = 15.61448334362195990 -------------- ************************************* p = 11; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6129925.380317801986 -------------- Searches starting with [11,677]-exponents: u = 8, v = 4 n_start has 20 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(11,677) = 0.7933465752409406025 D2(11,677) = 0.009620137831038855891 C1(11,677) = 0.9421324957547923164 C2(11,677) = 2.402444989399489338 C3(11,677) = 2.279556627331542694 C4(11,677) = 5416 Sum = 5437.130190501903799 Averaged sum = 0.5432241173445802577 logp*logq = 15.62869313497008264 -------------- ************************************* p = 11; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6261004.363794648124 -------------- Searches starting with [11,683]-exponents: u = 8, v = 4 n_start has 20 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(11,683) = 0.8190904504397434999 D2(11,683) = 0.01463829143483230126 C1(11,683) = 1.003169022846433032 C2(11,683) = 2.409433634682456513 C3(11,683) = 2.404550498064467612 C4(11,683) = 5464 Sum = 4653.878250736245104 Averaged sum = 0.4649693526562338999 logp*logq = 15.64985117170766270 -------------- ************************************* p = 11; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6438296.705069375757 -------------- Searches starting with [11,691]-exponents: u = 8, v = 4 n_start has 20 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(11,691) = 1.033930885439693436 D2(11,691) = 0.02132991076209068588 C1(11,691) = 1.186227588649395054 C2(11,691) = 2.418725137157103549 C3(11,691) = 2.822052415717882254 C4(11,691) = 5528 Sum = 4838.304232378851308 Averaged sum = 0.4833953674072186340 logp*logq = 15.67777457630726712 -------------- ************************************* p = 11; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6663981.503863542395 -------------- Searches starting with [11,701]-exponents: u = 8, v = 4 n_start has 20 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(11,701) = 0.7919121404405940866 D2(11,701) = 0.02969846520308321704 C1(11,701) = 0.9784304094954987714 C2(11,701) = 2.430300474278035434 C3(11,701) = 2.353083992281201513 C4(11,701) = 5608 Sum = 5035.886638303344545 Averaged sum = 0.5031358415729188275 logp*logq = 15.71222768729428297 -------------- ************************************* p = 11; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6847801.010962027805 -------------- Searches starting with [11,709]-exponents: u = 8, v = 4 n_start has 20 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(11,709) = 0.7820371672742842553 D2(11,709) = 0.03639899292698652513 C1(11,709) = 0.9551378455259655744 C2(11,709) = 2.439532830830805988 C3(11,709) = 2.305633161540762193 C4(11,709) = 5672 Sum = 4760.459869663384674 Averaged sum = 0.4756179308285927339 logp*logq = 15.73943813840284800 -------------- ************************************* p = 11; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7081686.579912394176 -------------- Searches starting with [11,719]-exponents: u = 8, v = 4 n_start has 20 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(11,719) = 0.8239482863766514990 D2(11,719) = 0.04478508941268152186 C1(11,719) = 1.124780826238487999 C2(11,719) = 2.451042829799386726 C3(11,719) = 2.674396154702885197 C4(11,719) = 5752 Sum = 5041.050713592708016 Averaged sum = 0.5036517847529931078 logp*logq = 15.77302265480236930 -------------- ************************************* p = 11; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7272099.906725174173 -------------- Searches starting with [11,727]-exponents: u = 8, v = 4 n_start has 20 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(11,727) = 1.175510472350601163 D2(11,727) = 0.03513692150798148099 C1(11,727) = 1.604401280124743704 C2(11,727) = 1.344879700537026952 C3(11,727) = 4.068179224417084166 C4(11,727) = 5816 Sum = 5347.027309386646868 Averaged sum = 0.5342219312005841611 logp*logq = 15.79955565329364513 -------------- ************************************* p = 11; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7416846.260514654140 -------------- Searches starting with [11,733]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(11,733) = 1.356559473675089009 D2(11,733) = 0.02825988290253887047 C1(11,733) = 1.851341393285424835 C2(11,733) = 1.232845386635521664 C3(11,733) = 5.048884003286925450 C4(11,733) = 5864 Sum = 4983.042574545854937 Averaged sum = 0.4978561868863877447 logp*logq = 15.81926449251608990 -------------- ************************************* p = 11; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7563258.396036682246 -------------- Searches starting with [11,739]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(11,739) = 0.9453151590313943203 D2(11,739) = 0.03754974273585262133 C1(11,739) = 1.290102732373223669 C2(11,739) = 1.507894851132939723 C3(11,739) = 3.090437704500663614 C4(11,739) = 5912 Sum = 4826.720452803980545 Averaged sum = 0.4822380310524508487 logp*logq = 15.83881266006659809 -------------- ************************************* p = 11; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7661794.594439302803 -------------- Searches starting with [11,743]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(11,743) = 0.8286634487199058894 D2(11,743) = 0.02848089072279730154 C1(11,743) = 0.9853653237044648647 C2(11,743) = 2.763657124169958659 C3(11,743) = 2.367399324358530532 C4(11,743) = 5944 Sum = 5553.829214653603645 Averaged sum = 0.5548835262916978364 logp*logq = 15.85175679553560027 -------------- ************************************* p = 11; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7861101.634502025360 -------------- Searches starting with [11,751]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(11,751) = 0.8363434338191393531 D2(11,751) = 0.007658634494051926687 C1(11,751) = 0.9695041270305350291 C2(11,751) = 2.746205661829293450 C3(11,751) = 2.334785339515466929 C4(11,751) = 6008 Sum = 5053.540361241250444 Averaged sum = 0.5048996264603107647 logp*logq = 15.87743731164563240 -------------- ************************************* p = 11; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8012543.482912436590 -------------- Searches starting with [11,757]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,757) = 1.325713564742136219 D2(11,757) = 0.05684860358814231640 C1(11,757) = 1.626861173515830319 C2(11,757) = 1.845872168251721471 C3(11,757) = 4.148881432482225692 C4(11,757) = 6056 Sum = 4258.880419803323137 Averaged sum = 0.4255050874016708099 logp*logq = 15.89651880708088452 -------------- ************************************* p = 11; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8114441.761053639348 -------------- Searches starting with [11,761]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,761) = 0.8093065782798625758 D2(11,761) = 0.06227732931209391609 C1(11,761) = 0.9694871827257798923 C2(11,761) = 1.940114530876030673 C3(11,761) = 2.334750739787229524 C4(11,761) = 6088 Sum = 4873.070869488872593 Averaged sum = 0.4868689049344462577 logp*logq = 15.90915596556691634 -------------- ************************************* p = 11; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8320494.308340530975 -------------- Searches starting with [11,769]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,769) = 0.7391418424348264305 D2(11,769) = 0.07216214892083106336 C1(11,769) = 0.8804530241126425042 C2(11,769) = 2.079824325197438786 C3(11,769) = 2.159845363061388510 C4(11,769) = 6152 Sum = 4885.156889927300128 Averaged sum = 0.4880764202145369296 logp*logq = 15.93423222309272476 -------------- ************************************* p = 11; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8424651.710918251330 -------------- Searches starting with [11,773]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,773) = 0.7628150794191470463 D2(11,773) = 0.07499043013221292398 C1(11,773) = 0.8878074420519150696 C2(11,773) = 2.083597845583684177 C3(11,773) = 2.173782501778598141 C4(11,773) = 6184 Sum = 5178.331144908586099 Averaged sum = 0.5173674837554786791 logp*logq = 15.94667269339782430 -------------- ************************************* p = 11; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8795167.622572308109 -------------- Searches starting with [11,787]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,787) = 0.7812438827858369422 D2(11,787) = 0.09408439577484146856 C1(11,787) = 0.9098421661088490047 C2(11,787) = 2.322803665376079876 C3(11,787) = 2.216080551766274306 C4(11,787) = 6296 Sum = 5045.054111367735356 Averaged sum = 0.5040517645486797239 logp*logq = 15.98971299482064970 -------------- ************************************* p = 11; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9065529.867933867722 -------------- Searches starting with [11,797]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,797) = 0.9382912793016430613 D2(11,797) = 0.1020024519044725720 C1(11,797) = 1.162286818838040161 C2(11,797) = 2.333372083491871138 C3(11,797) = 2.763577500543514540 C4(11,797) = 6376 Sum = 4235.250337567348551 Averaged sum = 0.4231442039731590120 logp*logq = 16.01998985252393291 -------------- ************************************* p = 11; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9396281.377412219417 -------------- Searches starting with [11,809]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,809) = 0.7646814147432019433 D2(11,809) = 0.1115646770161585244 C1(11,809) = 0.8985136290173448610 C2(11,809) = 2.346070183298554173 C3(11,809) = 2.194232390968590085 C4(11,809) = 6472 Sum = 5190.612880712619691 Averaged sum = 0.5185945529735857419 logp*logq = 16.05582457082300599 -------------- ************************************* p = 11; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9452079.261125165146 -------------- Searches starting with [11,811]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,811) = 0.7381107693408067646 D2(11,811) = 0.1131653023876159282 C1(11,811) = 0.8850109372087776833 C2(11,811) = 2.348188823267594797 C3(11,811) = 2.168472363039866589 C4(11,811) = 6488 Sum = 4735.272854042734082 Averaged sum = 0.4731014940596197505 logp*logq = 16.06174530289968870 -------------- ************************************* p = 11; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9733962.745957203818 -------------- Searches starting with [11,821]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,821) = 1.142280284400793380 D2(11,821) = 0.07709366833839347669 C1(11,821) = 1.520911938590395782 C2(11,821) = 1.371388366124540687 C3(11,821) = 3.781710708641313831 C4(11,821) = 6568 Sum = 5285.953015037588545 Averaged sum = 0.5281199935096002143 logp*logq = 16.09113164216020013 -------------- ************************************* p = 11; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9790919.574802887913 -------------- Searches starting with [11,823]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(11,823) = 1.467260940069244163 D2(11,823) = 0.06298439256900618608 C1(11,823) = 1.953547122591505978 C2(11,823) = 1.175852871452715647 C3(11,823) = 5.520980545421518334 C4(11,823) = 6584 Sum = 3749.214777547671416 Averaged sum = 0.3745843518381128400 logp*logq = 16.09696594010605540 -------------- ************************************* p = 11; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9905414.866392009596 -------------- Searches starting with [11,827]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(11,827) = 1.133091294804714457 D2(11,827) = 0.07315556379846158123 C1(11,827) = 1.508601091951304928 C2(11,827) = 1.372692248880352777 C3(11,827) = 3.741211596659086256 C4(11,827) = 6616 Sum = 5129.713821445164290 Averaged sum = 0.5125101230337860216 logp*logq = 16.10859212178000872 -------------- ************************************* p = 11; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9962953.703404153830 -------------- Searches starting with [11,829]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(11,829) = 0.9882926785840346047 D2(11,829) = 0.07984248873695424811 C1(11,829) = 1.315815787232143935 C2(11,829) = 1.480478109871376772 C3(11,829) = 3.160724106667794899 C4(11,829) = 6632 Sum = 4996.558371485118243 Averaged sum = 0.4992065512523846781 logp*logq = 16.11438414216325616 -------------- ************************************* p = 11; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10253567.26156395059 -------------- Searches starting with [11,839]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(11,839) = 0.9138240246053032638 D2(11,839) = 0.08883613761401563735 C1(11,839) = 1.100105255064204725 C2(11,839) = 2.650704978033723678 C3(11,839) = 2.617298231574678363 C4(11,839) = 6712 Sum = 4310.862480077358504 Averaged sum = 0.4306986192504104809 logp*logq = 16.14313622852029224 -------------- ************************************* p = 11; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10668634.25171342069 -------------- Searches starting with [11,853]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(11,853) = 0.8412620488330988306 D2(11,853) = 0.04535231449839128548 C1(11,853) = 0.9724260096398392403 C2(11,853) = 2.612032506861155388 C3(11,853) = 2.340759404508709515 C4(11,853) = 6824 Sum = 4858.431294657987725 Averaged sum = 0.4854062638283532546 logp*logq = 16.18281861618316765 -------------- ************************************* p = 11; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10788991.42932328324 -------------- Searches starting with [11,857]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(11,857) = 0.8128589292025734946 D2(11,857) = 0.03367887366713221011 C1(11,857) = 0.9571420249065174891 C2(11,857) = 2.601719239221383702 C3(11,857) = 2.309678107028866312 C4(11,857) = 6856 Sum = 5016.393167482964886 Averaged sum = 0.5011882473257033555 logp*logq = 16.19403686014288293 -------------- ************************************* p = 11; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10849465.37067115450 -------------- Searches starting with [11,859]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(11,859) = 0.8909798996738047611 D2(11,859) = 0.02795410049631551078 C1(11,859) = 1.117919698488886273 C2(11,859) = 2.596672173791925087 C3(11,859) = 2.658396004536214513 C4(11,859) = 6872 Sum = 4911.743292756095212 Averaged sum = 0.4907326698727240695 logp*logq = 16.19962636214418972 -------------- ************************************* p = 11; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10971004.87228779313 -------------- Searches starting with [11,863]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(11,863) = 0.8118762208588366892 D2(11,863) = 0.01671713341597279244 C1(11,863) = 1.018650417872842962 C2(11,863) = 2.586785901310028163 C3(11,863) = 2.437329268350883711 C4(11,863) = 6904 Sum = 5140.521022692550827 Averaged sum = 0.5135898713850085749 logp*logq = 16.21076642990560838 -------------- ************************************* p = 11; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11402624.23691623233 -------------- Searches starting with [11,877]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(11,877) = 1.117884720716218425 D2(11,877) = 0.1576940408702269908 C1(11,877) = 1.352098172424320064 C2(11,877) = 2.278759556751211984 C3(11,877) = 3.262629320951929678 C4(11,877) = 7016 Sum = 5820.976661290327894 Averaged sum = 0.5815742493046585967 logp*logq = 16.24935408309436135 -------------- ************************************* p = 11; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11527730.35336810961 -------------- Searches starting with [11,881]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(11,881) = 0.7464470046833577346 D2(11,881) = 0.1608900249887737828 C1(11,881) = 0.8636077325984337912 C2(11,881) = 2.282867728329187240 C3(11,881) = 2.128258162652127214 C4(11,881) = 7048 Sum = 4722.243131551673691 Averaged sum = 0.4717996934310793977 logp*logq = 16.26026602580570608 -------------- ************************************* p = 11; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11590582.03041291825 -------------- Searches starting with [11,883]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(11,883) = 0.7318441240139901930 D2(11,883) = 0.1578402731518921088 C1(11,883) = 0.9578847150825970557 C2(11,883) = 1.742067614205582429 C3(11,883) = 2.311178846782557129 C4(11,883) = 7064 Sum = 4951.256219389869641 Averaged sum = 0.4946804095703736278 logp*logq = 16.26570343238229429 -------------- ************************************* p = 11; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11716883.52092102062 -------------- Searches starting with [11,887]-exponents: u = 14, v = 1 n_start has 18 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(11,887) = 0.9646849308879303063 D2(11,887) = 0.1331146321774647588 C1(11,887) = 1.126471421854812322 C2(11,887) = 1.594337277256957645 C3(11,887) = 2.678353389150483248 C4(11,887) = 7096 Sum = 5605.184871083904294 Averaged sum = 0.5600144740817168842 logp*logq = 16.27654139556827979 -------------- ************************************* p = 11; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12360400.20128771154 -------------- Searches starting with [11,907]-exponents: u = 17, v = 1 n_start has 21 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(11,907) = 1.130694296979831485 D2(11,907) = 0.1326832062015553023 C1(11,907) = 1.362683448730514147 C2(11,907) = 2.570068730214917055 C3(11,907) = 3.292974309820692475 C4(11,907) = 7256 Sum = 5995.971588596651460 Averaged sum = 0.5990580066536768368 logp*logq = 16.33000838821459905 -------------- ************************************* p = 11; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12491515.34773713130 -------------- Searches starting with [11,911]-exponents: u = 17, v = 1 n_start has 21 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(11,911) = 0.9452429633394785891 D2(11,911) = 0.1171368706885382012 C1(11,911) = 1.152493078793557168 C2(11,911) = 2.555728928796169611 C3(11,911) = 2.740007110835466688 C4(11,911) = 7288 Sum = 4176.619059707864468 Averaged sum = 0.4172863482573548274 logp*logq = 16.34056019962136613 -------------- ************************************* p = 11; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12756168.77110087976 -------------- Searches starting with [11,919]-exponents: u = 17, v = 1 n_start has 21 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(11,919) = 1.050529098635616583 D2(11,919) = 0.08773650490761151267 C1(11,919) = 1.207373445088101288 C2(11,919) = 2.528725819208692368 C3(11,919) = 2.874729006060007798 C4(11,919) = 7352 Sum = 4744.326789211409346 Averaged sum = 0.4740060734550314063 logp*logq = 16.36152553774742613 -------------- ************************************* p = 11; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13091543.41121986833 -------------- Searches starting with [11,929]-exponents: u = 17, v = 1 n_start has 21 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(11,929) = 1.249359582082985243 D2(11,929) = 0.05369860451745954026 C1(11,929) = 1.519620593452291171 C2(11,929) = 2.497655311748445179 C3(11,929) = 3.777442058059381310 C4(11,929) = 7432 Sum = 4945.746341229664460 Averaged sum = 0.4941299171974887061 logp*logq = 16.38747703859173738 -------------- ************************************* p = 11; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13363503.04587616082 -------------- Searches starting with [11,937]-exponents: u = 17, v = 1 n_start has 21 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(11,937) = 0.9915021309070024742 D2(11,937) = 0.02829310319730591971 C1(11,937) = 1.173595782716643722 C2(11,937) = 2.474600816733805322 C3(11,937) = 2.791046900484695126 C4(11,937) = 7496 Sum = 5889.819722730720760 Averaged sum = 0.5884523651444420781 logp*logq = 16.40803789573595092 -------------- ************************************* p = 11; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13500706.66414652511 -------------- Searches starting with [11,941]-exponents: u = 17, v = 1 n_start has 21 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(11,941) = 0.9084296493260750771 D2(11,941) = 0.01612058663467761775 C1(11,941) = 1.173695969750934038 C2(11,941) = 2.463596286731787664 C3(11,941) = 2.791291470311809832 C4(11,941) = 7528 Sum = 5291.862379352452005 Averaged sum = 0.5287103985765263268 logp*logq = 16.41825258753101559 -------------- ************************************* p = 11; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13708045.73884188294 -------------- Searches starting with [11,947]-exponents: u = 20, v = 1 n_start has 24 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(11,947) = 1.079918211191376361 D2(11,947) = 0.1288782997420067164 C1(11,947) = 1.395195771241777191 C2(11,947) = 1.404265308287608207 C3(11,947) = 3.387953998826929857 C4(11,947) = 7576 Sum = 4680.810012635972254 Averaged sum = 0.4676601071671467933 logp*logq = 16.43349349862425656 -------------- ************************************* p = 11; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13917229.33021899446 -------------- Searches starting with [11,953]-exponents: u = 20, v = 1 n_start has 24 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(11,953) = 0.7218087919679241597 D2(11,953) = 0.1635297523119546061 C1(11,953) = 0.9325378197741289531 C2(11,953) = 1.744333203242500903 C3(11,953) = 2.260507942670356361 C4(11,953) = 7624 Sum = 5248.776823624805696 Averaged sum = 0.5244057172169852828 logp*logq = 16.44863815068966125 -------------- ************************************* p = 11; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14412523.53513699307 -------------- Searches starting with [11,967]-exponents: u = 20, v = 1 n_start has 24 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(11,967) = 1.220671934872019154 D2(11,967) = 0.1261685592095611396 C1(11,967) = 1.504514624114038317 C2(11,967) = 2.470648489511257897 C3(11,967) = 3.727864411040263480 C4(11,967) = 7736 Sum = 4939.091838376138401 Averaged sum = 0.4934650652788628635 logp*logq = 16.48360807652512555 -------------- ************************************* p = 11; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14555893.52856949710 -------------- Searches starting with [11,971]-exponents: u = 20, v = 1 n_start has 24 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(11,971) = 0.9240778075523594572 D2(11,971) = 0.1095121114211476253 C1(11,971) = 1.096350362887200293 C2(11,971) = 2.455072937250412635 C3(11,971) = 2.608717131619176892 C4(11,971) = 7768 Sum = 5554.179011752245903 Averaged sum = 0.5549184745481312721 logp*logq = 16.49350652307967917 -------------- ************************************* p = 11; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14772501.42369831605 -------------- Searches starting with [11,977]-exponents: u = 20, v = 1 n_start has 24 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(11,977) = 0.9410693430401807059 D2(11,977) = 0.08578253814514796587 C1(11,977) = 1.124432634329850216 C2(11,977) = 2.432956386958625754 C3(11,977) = 2.673581856488145973 C4(11,977) = 7816 Sum = 4823.606141578725836 Averaged sum = 0.4819268799659032706 logp*logq = 16.50827799857686923 -------------- ************************************* p = 11; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14990976.86752235104 -------------- Searches starting with [11,983]-exponents: u = 20, v = 1 n_start has 24 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(11,983) = 0.9000938333737732860 D2(11,983) = 0.06337568370856380278 C1(11,983) = 1.151198103953985992 C2(11,983) = 2.412152679793442970 C3(11,983) = 2.736905607144347631 C4(11,983) = 7864 Sum = 5069.622856287534883 Averaged sum = 0.5065064298418957821 logp*logq = 16.52295903590222997 -------------- ************************************* p = 11; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15285190.40563945287 -------------- Searches starting with [11,991]-exponents: u = 23, v = 1 n_start has 27 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(11,991) = 0.8098984159218487136 D2(11,991) = 0.03526843709479691924 C1(11,991) = 1.035805442638813400 C2(11,991) = 2.386167808079671750 C3(11,991) = 2.474173781216617138 C4(11,991) = 7928 Sum = 5241.655018230789655 Averaged sum = 0.5236941770637216161 logp*logq = 16.54239497025529036 -------------- ************************************* p = 11; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15508041.14850793767 -------------- Searches starting with [11,997]-exponents: u = 23, v = 1 n_start has 27 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(11,997) = 0.9336244246219776709 D2(11,997) = 0.01533955960953763111 C1(11,997) = 1.082724397623753694 C2(11,997) = 2.367819498188681796 C3(11,997) = 2.577813162936288282 C4(11,997) = 7976 Sum = 5097.078334603226877 Averaged sum = 0.5092495089023106081 logp*logq = 16.55686923114240138 -------------- ************************************* p = 13; q = 17; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1432.317078277855196 -------------- Searches starting with [13,17]-exponents: u = 1, v = 9 n_start has 13 digits starting right neighbors generation We generated 37 left neighbors We generated 9973 right neighbors We generated 10009 non-negative rho_i D1(13,17) = 0.8525944097332040979 D2(13,17) = 0.004059901518084160157 C1(13,17) = 1.116429816424473936 C2(13,17) = 1.648561372107107449 C3(13,17) = 2.862251316338058654 C4(13,17) = 136 Sum = 6341.822104728987374 Averaged sum = 0.6336119597091604929 logp*logq = 7.267048746388443246 -------------- ************************************* p = 13; q = 19; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1905.189709606222040 -------------- Searches starting with [13,19]-exponents: u = 1, v = 6 n_start has 9 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(13,19) = 0.9809813416024627478 D2(13,19) = 0.01932318502570435936 C1(13,19) = 1.250076775894822767 C2(13,19) = 1.887383837798811212 C3(13,19) = 3.246234588885245533 C4(13,19) = 152 Sum = 5618.051390557738052 Averaged sum = 0.5612999690835985665 logp*logq = 7.552336867697664610 -------------- ************************************* p = 13; q = 23; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3110.018253572081932 -------------- Searches starting with [13,23]-exponents: u = 1, v = 4 n_start has 7 digits starting right neighbors generation We generated 10 left neighbors We generated 10000 right neighbors We generated 10009 non-negative rho_i D1(13,23) = 1.585351861805593909 D2(13,23) = 0.07376110201101948877 C1(13,23) = 2.208108136351738098 C2(13,23) = 1.539888393312048965 C3(13,23) = 8.003689190069927284 C4(13,23) = 184 Sum = 4476.693812126104753 Averaged sum = 0.4472668410556603810 logp*logq = 8.042383874471837424 -------------- ************************************* p = 13; q = 29; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5636.075536929391074 -------------- Searches starting with [13,29]-exponents: u = 21, v = 3 n_start has 28 digits starting right neighbors generation We generated 235 left neighbors We generated 9775 right neighbors We generated 10009 non-negative rho_i D1(13,29) = 1.091734459217417183 D2(13,29) = 0.03022989451529036106 C1(13,29) = 1.429504009690865361 C2(13,29) = 1.678156071579939910 C3(13,29) = 3.843968122215043552 C4(13,29) = 232 Sum = 5365.266440497042237 Averaged sum = 0.5360442042658649452 logp*logq = 8.636943275506718601 -------------- ************************************* p = 13; q = 31; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6687.552714232923450 -------------- Searches starting with [13,31]-exponents: u = 4, v = 59 n_start has 93 digits starting right neighbors generation We generated 2469 left neighbors We generated 7541 right neighbors We generated 10009 non-negative rho_i D1(13,31) = 0.7920007894138608888 D2(13,31) = 0.01719080294570094598 C1(13,31) = 1.038287800674091859 C2(13,31) = 1.349779435523907027 C3(13,31) = 2.659141954531928828 C4(13,31) = 248 Sum = 6256.835861159057899 Averaged sum = 0.6251209772363930361 logp*logq = 8.808003273675314626 -------------- ************************************* p = 13; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10528.29401238184228 -------------- Searches starting with [13,37]-exponents: u = 7, v = 2 n_start has 11 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(13,37) = 0.8404762598063718700 D2(13,37) = 0.08722333243561056310 C1(13,37) = 0.9995519077559011449 C2(13,37) = 2.019780616740464243 C3(13,37) = 2.563866983766917540 C4(13,37) = 296 Sum = 5976.361198284022689 Averaged sum = 0.5970987309705287930 logp*logq = 9.261821579883156926 -------------- ************************************* p = 13; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13699.63249645753748 -------------- Searches starting with [13,41]-exponents: u = 13, v = 2 n_start has 18 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(13,41) = 0.8482509494313813602 D2(13,41) = 0.05072886157084086062 C1(13,41) = 1.022906885032732154 C2(13,41) = 1.812416646780474611 C3(13,41) = 2.620894356726199005 C4(13,41) = 328 Sum = 5875.427812722668746 Averaged sum = 0.5870144682508411176 logp*logq = 9.525124286380325341 -------------- ************************************* p = 13; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15479.74725838100921 -------------- Searches starting with [13,43]-exponents: u = 19, v = 2 n_start has 25 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(13,43) = 1.119573433265279780 D2(13,43) = 0.008098391981018742362 C1(13,43) = 1.460764282338701537 C2(13,43) = 1.657002594746527922 C3(13,43) = 3.958837651656613938 C4(13,43) = 344 Sum = 5277.126760521278987 Averaged sum = 0.5272381617065919659 logp*logq = 9.647287820032460572 -------------- ************************************* p = 13; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19446.71844124316831 -------------- Searches starting with [13,47]-exponents: u = 3, v = 469 n_start has 788 digits --- performed 5000 steps in the continued fraction search [13,47]-exponents: u = 321, v = 250 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,47) = 0.7029951755456443878 D2(13,47) = 0.4173399348317628212 C1(13,47) = 0.8039866437194956867 C2(13,47) = 1.210752891758817846 C3(13,47) = 2.132523802150631078 C4(13,47) = 376 Sum = 6950.021908136177243 Averaged sum = 0.6950716979834160659 logp*logq = 9.875433617138291429 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,47) = 0.7029951755456443878 D2(13,47) = 0.4173399348317628212 C1(13,47) = 0.8039866437194956867 C2(13,47) = 1.210752891758817846 C3(13,47) = 2.132523802150631078 C4(13,47) = 376 Sum = 6950.021908136177243 Averaged sum = 0.6950716979834160659 logp*logq = 9.875433617138291429 -------------- ************************************* p = 13; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26465.51099930876087 -------------- Searches starting with [13,53]-exponents: u = 3, v = 9 n_start has 19 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(13,53) = 0.8516700876428108484 D2(13,53) = 0.01505379314421839499 C1(13,53) = 1.021367548608868286 C2(13,53) = 1.812559306546622179 C3(13,53) = 2.617096916897531721 C4(13,53) = 424 Sum = 5974.832029424779981 Averaged sum = 0.5969459515860505525 logp*logq = 10.18359769260025006 -------------- ************************************* p = 13; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34845.42207651192698 -------------- Searches starting with [13,59]-exponents: u = 3, v = 5 n_start has 13 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(13,59) = 1.152413225757703294 D2(13,59) = 0.06961478937895847280 C1(13,59) = 1.415430455307112062 C2(13,59) = 2.078246287083229253 C3(13,59) = 3.793347111374141616 C4(13,59) = 472 Sum = 5963.975529733365508 Averaged sum = 0.5958612778232955848 logp*logq = 10.45867704677133200 -------------- ************************************* p = 13; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37956.01531233065865 -------------- Searches starting with [13,61]-exponents: u = 8, v = 3 n_start has 15 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(13,61) = 1.105929778501283897 D2(13,61) = 0.07877429102685876935 C1(13,61) = 1.606890289004611931 C2(13,61) = 1.155501789144367531 C3(13,61) = 4.543020983832752268 C4(13,61) = 488 Sum = 5455.676028495988658 Averaged sum = 0.5450770335194313775 logp*logq = 10.54418327651675933 -------------- ************************************* p = 13; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48282.46027720064165 -------------- Searches starting with [13,67]-exponents: u = 18, v = 3 n_start has 26 digits starting right neighbors generation We generated 137 left neighbors We generated 9873 right neighbors We generated 10009 non-negative rho_i D1(13,67) = 0.8548110123523302635 D2(13,67) = 0.1152958481993499432 C1(13,67) = 1.029654827440386494 C2(13,67) = 1.828345290750816938 C3(13,67) = 2.637606205254331481 C4(13,67) = 536 Sum = 5924.129517946966159 Averaged sum = 0.5918802595610916334 logp*logq = 10.78482363243012423 -------------- ************************************* p = 13; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56025.26404713166669 -------------- Searches starting with [13,71]-exponents: u = 113, v = 3 n_start has 132 digits starting right neighbors generation We generated 4067 left neighbors We generated 5943 right neighbors We generated 10009 non-negative rho_i D1(13,71) = 0.7853284075328932418 D2(13,71) = 0.004368221217366760953 C1(13,71) = 1.013445209328235511 C2(13,71) = 1.461030780488713532 C3(13,71) = 2.597639890103063605 C4(13,71) = 568 Sum = 6035.638337222128261 Averaged sum = 0.6030211147189657569 logp*logq = 10.93355801168134441 -------------- ************************************* p = 13; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60162.90147634992030 -------------- Searches starting with [13,73]-exponents: u = 5, v = 55 n_start has 109 digits starting right neighbors generation We generated 2695 left neighbors We generated 7315 right neighbors We generated 10009 non-negative rho_i D1(13,73) = 1.746802922888916983 D2(13,73) = 0.01905103214157179895 C1(13,73) = 2.110681378824728198 C2(13,73) = 1.496176036750385766 C3(13,73) = 7.301885098042186620 C4(13,73) = 584 Sum = 5674.956123312814957 Averaged sum = 0.5669853255382970283 logp*logq = 11.00481118678834981 -------------- ************************************* p = 13; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73674.53246296026769 -------------- Searches starting with [13,79]-exponents: u = 5, v = 7 n_start has 19 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(13,79) = 0.9159418417532628287 D2(13,79) = 0.1369770620753640094 C1(13,79) = 1.141292047109355523 C2(13,79) = 1.929994867350500607 C3(13,79) = 2.930072558842058243 C4(13,79) = 632 Sum = 4790.629220628436441 Averaged sum = 0.4786321531250311161 logp*logq = 11.20741246164697835 -------------- ************************************* p = 13; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83625.38302531207597 -------------- Searches starting with [13,83]-exponents: u = 5, v = 4 n_start has 14 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(13,83) = 1.043853164531330904 D2(13,83) = 0.1654250352222177831 C1(13,83) = 1.234439555262818841 C2(13,83) = 1.909933336596845312 C3(13,83) = 3.198770229967916822 C4(13,83) = 664 Sum = 5702.041058459678547 Averaged sum = 0.5696913836007272002 logp*logq = 11.33410237769283030 -------------- ************************************* p = 13; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100019.9527355643916 -------------- Searches starting with [13,89]-exponents: u = 5, v = 4 n_start has 14 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(13,89) = 3.189251066334374172 D2(13,89) = 0.01300890084850170843 C1(13,89) = 4.733046763176227807 C2(13,89) = 0.8128838082844289508 C3(13,89) = 86.33543182677465883 C4(13,89) = 712 Sum = 5652.733981742463023 Averaged sum = 0.5647651095756282369 logp*logq = 11.51312497242293692 -------------- ************************************* p = 13; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124729.4143646802411 -------------- Searches starting with [13,97]-exponents: u = 7, v = 1 n_start has 10 digits starting right neighbors generation We generated 13 left neighbors We generated 9997 right neighbors We generated 10009 non-negative rho_i D1(13,97) = 0.7431564691753591966 D2(13,97) = 0.08474025990634126896 C1(13,97) = 0.8789935068159842405 C2(13,97) = 1.976652151917137572 C3(13,97) = 2.288640633905775853 C4(13,97) = 776 Sum = 5486.497302816732507 Averaged sum = 0.5481563895310952649 logp*logq = 11.73390198488448977 -------------- ************************************* p = 13; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138351.1647824728553 -------------- Searches starting with [13,101]-exponents: u = 7, v = 1 n_start has 10 digits starting right neighbors generation We generated 13 left neighbors We generated 9997 right neighbors We generated 10009 non-negative rho_i D1(13,101) = 1.501401521215013249 D2(13,101) = 0.05813124290442088742 C1(13,101) = 2.145158043246390814 C2(13,101) = 0.9891777100162738503 C3(13,101) = 7.542905503537912379 C4(13,101) = 808 Sum = 5309.186882948026617 Averaged sum = 0.5304412911327831568 logp*logq = 11.83755040427954376 -------------- ************************************* p = 13; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145487.4547705228829 -------------- Searches starting with [13,103]-exponents: u = 9, v = 1 n_start has 13 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(13,103) = 0.8207763169239236399 D2(13,103) = 0.07647911561672212463 C1(13,103) = 0.9875881127845126311 C2(13,103) = 2.298698735666455803 C3(13,103) = 2.535136539703224569 C4(13,103) = 824 Sum = 5746.649017650719709 Averaged sum = 0.5741481684134998211 logp*logq = 11.88784514036796253 -------------- ************************************* p = 13; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160422.9937153715360 -------------- Searches starting with [13,107]-exponents: u = 9, v = 1 n_start has 13 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(13,107) = 0.8591563881866456094 D2(13,107) = 0.1443046734859060715 C1(13,107) = 1.014340022051836737 C2(13,107) = 1.929890312040627877 C3(13,107) = 2.599830256607116718 C4(13,107) = 856 Sum = 5552.617753149767063 Averaged sum = 0.5547624890748093778 logp*logq = 11.98556931648080785 -------------- ************************************* p = 13; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168227.0335321839002 -------------- Searches starting with [13,109]-exponents: u = 9, v = 1 n_start has 13 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(13,109) = 0.8028110254191651493 D2(13,109) = 0.1525631282055390081 C1(13,109) = 1.118480390090050265 C2(13,109) = 1.449495625867332365 C3(13,109) = 2.867785139624265308 C4(13,109) = 872 Sum = 5683.762668839112300 Averaged sum = 0.5678651882145181637 logp*logq = 12.03306973615218325 -------------- ************************************* p = 13; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184519.4852648251049 -------------- Searches starting with [13,113]-exponents: u = 11, v = 1 n_start has 15 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(13,113) = 0.8692616402192027452 D2(13,113) = 0.09388517826451614271 C1(13,113) = 1.049482729364557641 C2(13,113) = 2.191829197719908839 C3(13,113) = 2.687330802432964869 C4(13,113) = 904 Sum = 5533.625142415886246 Averaged sum = 0.5528649357993691923 logp*logq = 12.12551034807771365 -------------- ************************************* p = 13; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 248971.7100749493129 -------------- Searches starting with [13,127]-exponents: u = 15, v = 1 n_start has 19 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(13,127) = 1.334998468919116801 D2(13,127) = 0.07686072277130482520 C1(13,127) = 1.778859319289768984 C2(13,127) = 2.010297259337091726 C3(13,127) = 5.341873833166602775 C4(13,127) = 1016 Sum = 4646.942420446659831 Averaged sum = 0.4642763932907043492 logp*logq = 12.42509455483543739 -------------- ************************************* p = 13; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269583.7122367109852 -------------- Searches starting with [13,131]-exponents: u = 19, v = 1 n_start has 24 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(13,131) = 1.032322587680748524 D2(13,131) = 0.09817772819196019662 C1(13,131) = 1.362567037972321091 C2(13,131) = 1.970458642900960413 C3(13,131) = 3.609086422496925800 C4(13,131) = 1048 Sum = 5183.502092468129823 Averaged sum = 0.5178841135446228217 logp*logq = 12.50463424164299750 -------------- ************************************* p = 13; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 302398.7877226671633 -------------- Searches starting with [13,137]-exponents: u = 23, v = 1 n_start has 28 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(13,137) = 0.7498474555096446470 D2(13,137) = 0.009191857661414877031 C1(13,137) = 0.9751103055919696373 C2(13,137) = 1.835615494509898175 C3(13,137) = 2.505514662408049775 C4(13,137) = 1096 Sum = 5553.797335518329213 Averaged sum = 0.5548803412447126799 logp*logq = 12.61950191442586563 -------------- ************************************* p = 13; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 313851.6635501993843 -------------- Searches starting with [13,139]-exponents: u = 25, v = 1 n_start has 30 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(13,139) = 1.893933340556569865 D2(13,139) = 0.04375792501834645776 C1(13,139) = 2.230007043106125107 C2(13,139) = 1.824992431411221080 C3(13,139) = 8.170499233223596997 C4(13,139) = 1112 Sum = 6045.956928167903014 Averaged sum = 0.6040520459754124302 logp*logq = 12.65667574419426981 -------------- ************************************* p = 13; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 375070.3405665935202 -------------- Searches starting with [13,149]-exponents: u = 39, v = 1 n_start has 46 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(13,149) = 0.7757169607196636286 D2(13,149) = 0.008122944187630920893 C1(13,149) = 0.9286064714335225689 C2(13,149) = 1.639061431439080382 C3(13,149) = 2.398132728598384122 C4(13,149) = 1192 Sum = 5632.951381197289203 Averaged sum = 0.5627886283542101312 logp*logq = 12.83486886220683575 -------------- ************************************* p = 13; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 388119.5515291237468 -------------- Searches starting with [13,151]-exponents: u = 43, v = 1 n_start has 51 digits starting right neighbors generation We generated 262 left neighbors We generated 9748 right neighbors We generated 10009 non-negative rho_i D1(13,151) = 0.7718168308335917893 D2(13,151) = 0.01954751479242533542 C1(13,151) = 0.9628098634763606897 C2(13,151) = 1.607785223719836501 C3(13,151) = 2.476652635261295240 C4(13,151) = 1208 Sum = 5457.305661051039701 Averaged sum = 0.5452398502398880709 logp*logq = 12.86906869364316404 -------------- ************************************* p = 13; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 428915.1657821500633 -------------- Searches starting with [13,157]-exponents: u = 67, v = 1 n_start has 77 digits starting right neighbors generation We generated 583 left neighbors We generated 9427 right neighbors We generated 10009 non-negative rho_i D1(13,157) = 0.8392389805158712189 D2(13,157) = 0.01804456064336595253 C1(13,157) = 1.025943144519445828 C2(13,157) = 1.476336258344665797 C3(13,157) = 2.628400765996220541 C4(13,157) = 1256 Sum = 5753.752471396481770 Averaged sum = 0.5748578750521012858 logp*logq = 12.96901442959573310 -------------- ************************************* p = 13; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 472225.2166232848357 -------------- Searches starting with [13,163]-exponents: u = 139, v = 1 n_start has 158 digits starting right neighbors generation We generated 2407 left neighbors We generated 7603 right neighbors We generated 10009 non-negative rho_i D1(13,163) = 1.093248580292738246 D2(13,163) = 0.002847012575693362976 C1(13,163) = 1.301335884000835426 C2(13,163) = 1.286908679644247871 C3(13,163) = 3.406817857719988793 C4(13,163) = 1304 Sum = 6353.860860266271243 Averaged sum = 0.6348147527491528867 logp*logq = 13.06521130462887877 -------------- ************************************* p = 13; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 502522.1214088000588 -------------- Searches starting with [13,167]-exponents: u = 429, v = 1 n_start has 481 digits --- performed 5000 steps in the continued fraction search [13,167]-exponents: u = 12, v = 198 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,167) = 0.7452848607557564236 D2(13,167) = 0.1643720675553031037 C1(13,167) = 0.8611006931796470074 C2(13,167) = 1.208601370635250839 C3(13,167) = 2.250391266734046378 C4(13,167) = 1336 Sum = 6350.441106028543456 Averaged sum = 0.6351076213649908446 logp*logq = 13.12739494065047679 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,167) = 0.7452848607557564236 D2(13,167) = 0.1643720675553031037 C1(13,167) = 0.8611006931796470074 C2(13,167) = 1.208601370635250839 C3(13,167) = 2.250391266734046378 C4(13,167) = 1336 Sum = 6350.441106028543456 Averaged sum = 0.6351076213649908446 logp*logq = 13.12739494065047679 -------------- ************************************* p = 13; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 550142.1421651673312 -------------- Searches starting with [13,173]-exponents: u = 2, v = 109 n_start has 247 digits --- performed 5000 steps in the continued fraction search [13,173]-exponents: u = 131, v = 19 --- starting right neighbors generation We generated 5678 left neighbors We generated 4332 right neighbors We generated 10009 non-negative rho_i D1(13,173) = 0.7557133311586211300 D2(13,173) = 0.007712416221359863104 C1(13,173) = 0.8875796157342400581 C2(13,173) = 1.205142993521991500 C3(13,173) = 2.307225268879862785 C4(13,173) = 1384 Sum = 6015.369097093898253 Averaged sum = 0.6009960132974221453 logp*logq = 13.21793196411901623 -------------- ************************************* p = 13; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 600418.3189967425901 -------------- Searches starting with [13,179]-exponents: u = 2, v = 44 n_start has 102 digits starting right neighbors generation We generated 993 left neighbors We generated 9017 right neighbors We generated 10009 non-negative rho_i D1(13,179) = 0.7000580819109723467 D2(13,179) = 0.009926866957643826555 C1(13,179) = 0.8270407565277020185 C2(13,179) = 1.418879366005264386 C3(13,179) = 2.179339226596246323 C4(13,179) = 1432 Sum = 5699.397213581097146 Averaged sum = 0.5694272368449492603 logp*logq = 13.30538188959634049 -------------- ************************************* p = 13; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 617776.2526225101805 -------------- Searches starting with [13,181]-exponents: u = 2, v = 37 n_start has 86 digits starting right neighbors generation We generated 708 left neighbors We generated 9302 right neighbors We generated 10009 non-negative rho_i D1(13,181) = 0.7029840137705227396 D2(13,181) = 0.02009215127148233554 C1(13,181) = 0.8347880783241145143 C2(13,181) = 1.476250066252814247 C3(13,181) = 2.195301130210285514 C4(13,181) = 1448 Sum = 5389.895121975220845 Averaged sum = 0.5385048578254791532 logp*logq = 13.33388162011098600 -------------- ************************************* p = 13; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 709145.0400504558067 -------------- Searches starting with [13,191]-exponents: u = 2, v = 20 n_start has 48 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(13,191) = 1.129471979908769631 D2(13,191) = 0.04046397051283034557 C1(13,191) = 1.412332071093396553 C2(13,191) = 1.683861667083892894 C3(13,191) = 3.782292412298034183 C4(13,191) = 1528 Sum = 5991.546454373767544 Averaged sum = 0.5986158911353549349 logp*logq = 13.47181535448050619 -------------- ************************************* p = 13; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 728347.6967232272055 -------------- Searches starting with [13,193]-exponents: u = 2, v = 19 n_start has 46 digits starting right neighbors generation We generated 200 left neighbors We generated 9810 right neighbors We generated 10009 non-negative rho_i D1(13,193) = 0.8652493113337579419 D2(13,193) = 0.05829781367995894672 C1(13,193) = 1.035785151793650959 C2(13,193) = 1.726710791960434875 C3(13,193) = 2.652880830435985406 C4(13,193) = 1544 Sum = 5412.330240892624402 Averaged sum = 0.5407463523721275254 logp*logq = 13.49853381855071958 -------------- ************************************* p = 13; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 767696.6977830994361 -------------- Searches starting with [13,197]-exponents: u = 2, v = 16 n_start has 39 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(13,197) = 0.7577894650314735411 D2(13,197) = 0.06072386100736915820 C1(13,197) = 0.9026554077060733251 C2(13,197) = 1.786554019367336307 C3(13,197) = 2.340222692667812389 C4(13,197) = 1576 Sum = 5550.206239587211268 Averaged sum = 0.5545215545596174711 logp*logq = 13.55115000936489865 -------------- ************************************* p = 13; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 787846.7017791971687 -------------- Searches starting with [13,199]-exponents: u = 2, v = 15 n_start has 37 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10009 non-negative rho_i D1(13,199) = 0.7628594594855829583 D2(13,199) = 0.04458637810034109071 C1(13,199) = 0.9199352172253157114 C2(13,199) = 1.803798790740151700 C3(13,199) = 2.378625059283443872 C4(13,199) = 1592 Sum = 5254.428686002370201 Averaged sum = 0.5249703952445169548 logp*logq = 13.57705880902513910 -------------- ************************************* p = 13; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 915517.7952847929204 -------------- Searches starting with [13,211]-exponents: u = 2, v = 11 n_start has 28 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(13,211) = 1.135059847950827044 D2(13,211) = 0.06871414152667331837 C1(13,211) = 1.333791726983886369 C2(13,211) = 1.961291309438309972 C3(13,211) = 3.512577476322782956 C4(13,211) = 1688 Sum = 5315.067536077056929 Averaged sum = 0.5310288276628091646 logp*logq = 13.72724508068473607 -------------- ************************************* p = 13; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1055074.312595514046 -------------- Searches starting with [13,223]-exponents: u = 2, v = 9 n_start has 24 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(13,223) = 1.372465182757952039 D2(13,223) = 0.03875196540129912670 C1(13,223) = 1.669198152296727089 C2(13,223) = 2.062595954199055122 C3(13,223) = 4.817631395789336330 C4(13,223) = 1784 Sum = 7042.974798956041359 Averaged sum = 0.7036641821316856189 logp*logq = 13.86912176089079097 -------------- ************************************* p = 13; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1104299.838291459348 -------------- Searches starting with [13,227]-exponents: u = 2, v = 8 n_start has 22 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(13,227) = 0.8788172078873523057 D2(13,227) = 0.1171694061353985091 C1(13,227) = 1.029971841711028913 C2(13,227) = 2.144134696817790456 C3(13,227) = 2.638393933228515371 C4(13,227) = 1816 Sum = 5155.560892427885105 Averaged sum = 0.5150925059873998507 logp*logq = 13.91472206159987628 -------------- ************************************* p = 13; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1129427.880057673982 -------------- Searches starting with [13,229]-exponents: u = 2, v = 8 n_start has 22 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(13,229) = 0.8481509428366862395 D2(13,229) = 0.1614643038517967112 C1(13,229) = 1.005372484085440701 C2(13,229) = 2.189969674209898913 C3(13,229) = 2.577962312733253271 C4(13,229) = 1832 Sum = 5463.341967282362970 Averaged sum = 0.5458429380839607323 logp*logq = 13.93722176164106102 -------------- ************************************* p = 13; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1180723.068832013221 -------------- Searches starting with [13,233]-exponents: u = 2, v = 7 n_start has 19 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(13,233) = 1.451094289274648040 D2(13,233) = 0.03179251027424425595 C1(13,233) = 1.933529514884135655 C2(13,233) = 2.145275552146128771 C3(13,233) = 6.179679101810734131 C4(13,233) = 1864 Sum = 4757.302417742725271 Averaged sum = 0.4753024695516760187 logp*logq = 13.98163757897147252 -------------- ************************************* p = 13; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1260289.064251269052 -------------- Searches starting with [13,239]-exponents: u = 2, v = 7 n_start has 19 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(13,239) = 1.184782249893846412 D2(13,239) = 0.1317120202098002571 C1(13,239) = 1.440190864486047262 C2(13,239) = 2.249765313140768668 C3(13,239) = 3.882858311683096159 C4(13,239) = 1912 Sum = 5804.155233004199727 Averaged sum = 0.5798936190432810197 logp*logq = 14.04685166868825351 -------------- ************************************* p = 13; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1287517.328378046377 -------------- Searches starting with [13,241]-exponents: u = 2, v = 7 n_start has 19 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(13,241) = 0.7006241213279265055 D2(13,241) = 0.1627155538466123438 C1(13,241) = 0.8343670632301183777 C2(13,241) = 1.605252159714106150 C3(13,241) = 2.194430711310791782 C4(13,241) = 1928 Sum = 5313.407884615749611 Averaged sum = 0.5308630117509990620 logp*logq = 14.06822637036386257 -------------- ************************************* p = 13; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1429030.736688733191 -------------- Searches starting with [13,251]-exponents: u = 2, v = 6 n_start has 17 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(13,251) = 1.027455663970831920 D2(13,251) = 0.06588627930679329506 C1(13,251) = 1.317894106501953707 C2(13,251) = 2.297641771173291849 C3(13,251) = 3.460369956544382188 C4(13,251) = 2008 Sum = 4412.817998445361359 Averaged sum = 0.4408850033415287600 logp*logq = 14.17250696591002873 -------------- ************************************* p = 13; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1518295.889340247076 -------------- Searches starting with [13,257]-exponents: u = 2, v = 6 n_start has 17 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(13,257) = 0.8481182222185879505 D2(13,257) = 0.1146061635559323928 C1(13,257) = 1.159758678109201989 C2(13,257) = 1.454364335469677016 C3(13,257) = 2.981485367699435047 C4(13,257) = 2056 Sum = 4988.792337170836415 Averaged sum = 0.4984306461355616360 logp*logq = 14.23309913845717390 -------------- ************************************* p = 13; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1610882.791692954565 -------------- Searches starting with [13,263]-exponents: u = 2, v = 5 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(13,263) = 1.440858098572852615 D2(13,263) = 0.1477006076099753249 C1(13,263) = 1.768436162997355806 C2(13,263) = 2.074290684040571184 C3(13,263) = 5.289684069402078199 C4(13,263) = 2104 Sum = 7144.596095396115780 Averaged sum = 0.7138171740829369347 logp*logq = 14.29229290451106828 -------------- ************************************* p = 13; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1706835.037544055394 -------------- Searches starting with [13,269]-exponents: u = 2, v = 5 n_start has 15 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(13,269) = 0.9875535405441827843 D2(13,269) = 0.1320645517639220259 C1(13,269) = 1.280278471828807199 C2(13,269) = 2.063508164661965169 C3(13,269) = 3.339910078026644628 C4(13,269) = 2152 Sum = 4946.530352761852141 Averaged sum = 0.4942082478531174084 logp*logq = 14.35015135829248496 -------------- ************************************* p = 13; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1739574.446042890267 -------------- Searches starting with [13,271]-exponents: u = 2, v = 5 n_start has 15 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(13,271) = 0.8529184320025237965 D2(13,271) = 0.01070703723801063886 C1(13,271) = 1.034732115912609744 C2(13,271) = 2.397906717468042184 C3(13,271) = 2.650250755042788260 C4(13,271) = 2168 Sum = 4951.386230230775372 Averaged sum = 0.4946933989640099283 logp*logq = 14.36915107003857063 -------------- ************************************* p = 13; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1840080.886820812179 -------------- Searches starting with [13,277]-exponents: u = 2, v = 5 n_start has 15 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(13,277) = 0.8254670967286992256 D2(13,277) = 0.06879096677139153745 C1(13,277) = 0.9674456894101594347 C2(13,277) = 2.460193959937572506 C3(13,277) = 2.487490991708959685 C4(13,277) = 2216 Sum = 4867.501209041267666 Averaged sum = 0.4863124397083892163 logp*logq = 14.42532008884764809 -------------- ************************************* p = 13; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1909007.795493703981 -------------- Searches starting with [13,281]-exponents: u = 2, v = 5 n_start has 15 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(13,281) = 1.130680065671783365 D2(13,281) = 0.06358039304260364551 C1(13,281) = 1.574981570816697175 C2(13,281) = 1.256338543341493575 C3(13,281) = 4.408507285148055354 C4(13,281) = 2248 Sum = 5212.650925637062904 Averaged sum = 0.5207963758254633734 logp*logq = 14.46209418624784663 -------------- ************************************* p = 13; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1944052.738890138297 -------------- Searches starting with [13,283]-exponents: u = 2, v = 4 n_start has 13 digits starting right neighbors generation We generated 15 left neighbors We generated 9995 right neighbors We generated 10009 non-negative rho_i D1(13,283) = 1.303228662502199300 D2(13,283) = 0.06046192681729107771 C1(13,283) = 1.815161594423874361 C2(13,283) = 1.157466183962421782 C3(13,283) = 5.527695576721597339 C4(13,283) = 2264 Sum = 5195.415164412868838 Averaged sum = 0.5190743495267128423 logp*logq = 14.48028539269324830 -------------- ************************************* p = 13; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2125154.542904499981 -------------- Searches starting with [13,293]-exponents: u = 2, v = 4 n_start has 13 digits starting right neighbors generation We generated 15 left neighbors We generated 9995 right neighbors We generated 10009 non-negative rho_i D1(13,293) = 1.075781773684915227 D2(13,293) = 0.08247736778836678086 C1(13,293) = 1.370867475066197399 C2(13,293) = 2.149522270218651335 C3(13,293) = 3.637414674248419540 C4(13,293) = 2344 Sum = 4520.501489219864125 Averaged sum = 0.4516436696193290164 logp*logq = 14.56935508376894752 -------------- ************************************* p = 13; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2395432.723682998118 -------------- Searches starting with [13,307]-exponents: u = 2, v = 4 n_start has 13 digits starting right neighbors generation We generated 15 left neighbors We generated 9995 right neighbors We generated 10009 non-negative rho_i D1(13,307) = 0.7150388602911878317 D2(13,307) = 0.04514633327423499747 C1(13,307) = 0.8626005210377174415 C2(13,307) = 1.784272816146893306 C3(13,307) = 2.253572744674125586 C4(13,307) = 2456 Sum = 5302.035087035254568 Averaged sum = 0.5297267546243635296 logp*logq = 14.68907445045383026 -------------- ************************************* p = 13; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2476305.134472352053 -------------- Searches starting with [13,311]-exponents: u = 2, v = 4 n_start has 13 digits starting right neighbors generation We generated 15 left neighbors We generated 9995 right neighbors We generated 10009 non-negative rho_i D1(13,311) = 0.8489019074427248406 D2(13,311) = 0.03688277605763952041 C1(13,311) = 1.056593379942918106 C2(13,311) = 1.693643432795092485 C3(13,311) = 2.705390411467176280 C4(13,311) = 2488 Sum = 4886.844258864275022 Averaged sum = 0.4882450053815840765 logp*logq = 14.72227814205640935 -------------- ************************************* p = 13; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2517357.206023468695 -------------- Searches starting with [13,313]-exponents: u = 2, v = 4 n_start has 13 digits starting right neighbors generation We generated 15 left neighbors We generated 9995 right neighbors We generated 10009 non-negative rho_i D1(13,313) = 0.8079060648066483782 D2(13,313) = 0.03160894619088878934 C1(13,313) = 0.9969573763307648896 C2(13,313) = 1.576786454794435099 C3(13,313) = 2.557608826025054403 C4(13,313) = 2504 Sum = 4541.099575794958130 Averaged sum = 0.4537016261159914207 logp*logq = 14.73872018141939834 -------------- ************************************* p = 13; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2600700.538516065122 -------------- Searches starting with [13,317]-exponents: u = 2, v = 4 n_start has 13 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(13,317) = 0.9539724047019533636 D2(13,317) = 0.01025804861914139173 C1(13,317) = 1.363330780073293548 C2(13,317) = 2.633722338035016840 C3(13,317) = 3.611683727155505374 C4(13,317) = 2536 Sum = 5760.931304970825823 Averaged sum = 0.5755751128954766532 logp*logq = 14.77129140459063504 -------------- ************************************* p = 13; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2905569.001626653380 -------------- Searches starting with [13,331]-exponents: u = 9, v = 3 n_start has 18 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(13,331) = 0.7215320738096558959 D2(13,331) = 0.01219229939264245032 C1(13,331) = 0.8707761190182598502 C2(13,331) = 2.283798267956106828 C3(13,331) = 2.270994305868677119 C4(13,331) = 2648 Sum = 5073.883618928614741 Averaged sum = 0.5069321229821775143 logp*logq = 14.88213979883917290 -------------- ************************************* p = 13; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3042584.791811795140 -------------- Searches starting with [13,337]-exponents: u = 9, v = 3 n_start has 18 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(13,337) = 0.9193813511088550237 D2(13,337) = 0.001709945588454952911 C1(13,337) = 1.131768055395306738 C2(13,337) = 2.277760323359207994 C3(13,337) = 2.903904382044889712 C4(13,337) = 2696 Sum = 5098.479505246836520 Averaged sum = 0.5093894999747064162 logp*logq = 14.92821797258014807 -------------- ************************************* p = 13; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3279566.594834819133 -------------- Searches starting with [13,347]-exponents: u = 9, v = 3 n_start has 18 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(13,347) = 1.136394411725764960 D2(13,347) = 0.1715913323882022593 C1(13,347) = 1.341019162579136785 C2(13,347) = 2.144675785238877012 C3(13,347) = 3.536571988944617253 C4(13,347) = 2776 Sum = 5429.254805486858997 Averaged sum = 0.5424372869903945446 logp*logq = 15.00322183590854125 -------------- ************************************* p = 13; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3328269.192242670335 -------------- Searches starting with [13,349]-exponents: u = 9, v = 3 n_start has 18 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(13,349) = 0.7803567001297055336 D2(13,349) = 0.1609170266301932917 C1(13,349) = 1.045594526557656564 C2(13,349) = 1.550487705584822489 C3(13,349) = 2.677506592188498045 C4(13,349) = 2792 Sum = 4811.551393408862042 Averaged sum = 0.4807224891006955781 logp*logq = 15.01796296474420036 -------------- ************************************* p = 13; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3426992.023128551332 -------------- Searches starting with [13,353]-exponents: u = 16, v = 3 n_start has 26 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(13,353) = 0.9781213950538723720 D2(13,353) = 0.1337653147090543297 C1(13,353) = 1.310421105392022775 C2(13,353) = 1.381161546516358407 C3(13,353) = 3.436097562750492108 C4(13,353) = 2824 Sum = 5304.601280348943416 Averaged sum = 0.5299831432060089335 logp*logq = 15.04719347319968946 -------------- ************************************* p = 13; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3578391.587160389831 -------------- Searches starting with [13,359]-exponents: u = 16, v = 3 n_start has 26 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(13,359) = 0.8888447583416196592 D2(13,359) = 0.1451558292711272976 C1(13,359) = 1.117386049363222913 C2(13,359) = 2.178117606544456544 C3(13,359) = 2.864830544260212688 C4(13,359) = 2872 Sum = 4601.988446351356216 Averaged sum = 0.4597850381008448612 logp*logq = 15.09042398009208451 -------------- ************************************* p = 13; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3786505.339761766978 -------------- Searches starting with [13,367]-exponents: u = 23, v = 3 n_start has 34 digits starting right neighbors generation We generated 171 left neighbors We generated 9839 right neighbors We generated 10009 non-negative rho_i D1(13,367) = 1.348044753547087992 D2(13,367) = 0.08716927463274776976 C1(13,367) = 1.624376081336673690 C2(13,367) = 2.125301582515796348 C3(13,367) = 4.618466625725757822 C4(13,367) = 2936 Sum = 6863.345543842857438 Averaged sum = 0.6857174087164409469 logp*logq = 15.14695407774544315 -------------- ************************************* p = 13; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3947325.277693783434 -------------- Searches starting with [13,373]-exponents: u = 30, v = 3 n_start has 42 digits starting right neighbors generation We generated 277 left neighbors We generated 9733 right neighbors We generated 10009 non-negative rho_i D1(13,373) = 0.9823514944932588899 D2(13,373) = 0.04898816007969859354 C1(13,373) = 1.159238458915970285 C2(13,373) = 2.090923707421661378 C3(13,373) = 2.980024754203944696 C4(13,373) = 2984 Sum = 5404.547814267398465 Averaged sum = 0.5399688094981914742 logp*logq = 15.18854876262350682 -------------- ************************************* p = 13; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4112245.033212547013 -------------- Searches starting with [13,379]-exponents: u = 37, v = 3 n_start has 49 digits starting right neighbors generation We generated 404 left neighbors We generated 9606 right neighbors We generated 10009 non-negative rho_i D1(13,379) = 0.8299664201684069185 D2(13,379) = 0.01425713957448441710 C1(13,379) = 0.9918816481820792193 C2(13,379) = 2.059934223823959842 C3(13,379) = 2.545410019051864864 C4(13,379) = 3032 Sum = 5321.575653943197598 Averaged sum = 0.5316790542454988109 logp*logq = 15.22947967413078067 -------------- ************************************* p = 13; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4224487.559214762227 -------------- Searches starting with [13,383]-exponents: u = 51, v = 3 n_start has 65 digits starting right neighbors generation We generated 667 left neighbors We generated 9343 right neighbors We generated 10009 non-negative rho_i D1(13,383) = 0.6769289425957654999 D2(13,383) = 0.04791564145544357204 C1(13,383) = 0.8128464280249383330 C2(13,383) = 1.948236138660253566 C3(13,383) = 2.150394977986731809 C4(13,383) = 3064 Sum = 5097.580353206556951 Averaged sum = 0.5092996656215962584 logp*logq = 15.25640852365763654 -------------- ************************************* p = 13; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4396322.726950666700 -------------- Searches starting with [13,389]-exponents: u = 93, v = 3 n_start has 112 digits starting right neighbors generation We generated 2047 left neighbors We generated 7963 right neighbors We generated 10009 non-negative rho_i D1(13,389) = 1.068091558049464184 D2(13,389) = 0.02358487599707572061 C1(13,389) = 1.290056197171889627 C2(13,389) = 1.827780670142009621 C3(13,389) = 3.370812799632763136 C4(13,389) = 3112 Sum = 4830.033142808023968 Averaged sum = 0.4825690021788414394 logp*logq = 15.29627900558502682 -------------- ************************************* p = 13; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4631973.227137841300 -------------- Searches starting with [13,397]-exponents: u = 2109, v = 3 n_start has 2358 digits --- performed 5000 steps in the continued fraction search [13,397]-exponents: u = 881, v = 527 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,397) = 0.9891821279937736681 D2(13,397) = 0.5973603758758788276 C1(13,397) = 1.110916216557168699 C2(13,397) = 1.535581479236861480 C3(13,397) = 2.847424824417697490 C4(13,397) = 3176 Sum = 6824.657528604529910 Averaged sum = 0.6825340062610790988 logp*logq = 15.34849351823938699 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,397) = 0.9891821279937736681 D2(13,397) = 0.5973603758758788276 C1(13,397) = 1.110916216557168699 C2(13,397) = 1.535581479236861480 C3(13,397) = 2.847424824417697490 C4(13,397) = 3176 Sum = 6824.657528604529910 Averaged sum = 0.6825340062610790988 logp*logq = 15.34849351823938699 -------------- ************************************* p = 13; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4752624.318825532342 -------------- Searches starting with [13,401]-exponents: u = 7, v = 92 n_start has 248 digits --- performed 5000 steps in the continued fraction search [13,401]-exponents: u = 16, v = 61 --- **************************************************** Computing .... elapsed time = 3 minutes **************************************************** We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,401) = 0.7233875815899393760 D2(13,401) = 0.007994511727693133495 C1(13,401) = 0.8928833756999345315 C2(13,401) = 1.625204964663254170 C3(13,401) = 2.318780584075515302 C4(13,401) = 3208 Sum = 5853.532145236649022 Averaged sum = 0.5854117556992348257 logp*logq = 15.37420751161922027 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,401) = 0.7233875815899393760 D2(13,401) = 0.007994511727693133495 C1(13,401) = 0.8928833756999345315 C2(13,401) = 1.625204964663254170 C3(13,401) = 2.318780584075515302 C4(13,401) = 3208 Sum = 5853.532145236649022 Averaged sum = 0.5854117556992348257 logp*logq = 15.37420751161922027 -------------- ************************************* p = 13; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4999631.788810188633 -------------- Searches starting with [13,409]-exponents: u = 7, v = 29 n_start has 84 digits starting right neighbors generation We generated 1128 left neighbors We generated 8882 right neighbors We generated 10009 non-negative rho_i D1(13,409) = 0.7679370298583052824 D2(13,409) = 0.03301002157255102335 C1(13,409) = 0.9393712778440753283 C2(13,409) = 1.904481589720007242 C3(13,409) = 2.422572986490469114 C4(13,409) = 3272 Sum = 4532.029306096354040 Averaged sum = 0.4527954147363726686 logp*logq = 15.42487482544868947 -------------- ************************************* p = 13; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5319198.204342653532 -------------- Searches starting with [13,419]-exponents: u = 7, v = 14 n_start has 45 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(13,419) = 0.6756079586263672497 D2(13,419) = 0.05378894661965569440 C1(13,419) = 0.8102259133846707468 C2(13,419) = 2.055852275062086988 C3(13,419) = 2.145093565511423822 C4(13,419) = 3352 Sum = 5078.980093795100454 Averaged sum = 0.5074413121985313672 logp*logq = 15.48683313648998490 -------------- ************************************* p = 13; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5384565.639493314243 -------------- Searches starting with [13,421]-exponents: u = 7, v = 14 n_start has 45 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(13,421) = 0.7429537873522232456 D2(13,421) = 0.06715593447227257379 C1(13,421) = 0.8847768026322355953 C2(13,421) = 2.070108214829138645 C3(13,421) = 2.301142047306379555 C4(13,421) = 3368 Sum = 5327.292561297098252 Averaged sum = 0.5322502309218801331 logp*logq = 15.49904720412960919 -------------- ************************************* p = 13; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5718745.653739465970 -------------- Searches starting with [13,431]-exponents: u = 7, v = 8 n_start has 29 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(13,431) = 0.7708588700261164219 D2(13,431) = 0.0003042985322255855256 C1(13,431) = 0.9937196171612190224 C2(13,431) = 2.009727813651667709 C3(13,431) = 2.549820587579675757 C4(13,431) = 3448 Sum = 5058.754567404065358 Averaged sum = 0.5054205782200085281 logp*logq = 15.55926004800383768 -------------- ************************************* p = 13; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5787059.341368444204 -------------- Searches starting with [13,433]-exponents: u = 7, v = 8 n_start has 29 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(13,433) = 0.8703000650252468235 D2(13,433) = 0.004896453563039795444 C1(13,433) = 1.062613202710376888 C2(13,433) = 2.015302654620202021 C3(13,433) = 2.720774372842374005 C4(13,433) = 3464 Sum = 5240.813315808359172 Averaged sum = 0.5236100825065799952 logp*logq = 15.57113483475749570 -------------- ************************************* p = 13; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5994979.099059480871 -------------- Searches starting with [13,439]-exponents: u = 7, v = 8 n_start has 29 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(13,439) = 0.8527160057508163751 D2(13,439) = 0.01880458358615040349 C1(13,439) = 1.026383239696353172 C2(13,439) = 2.032131219785877728 C3(13,439) = 2.629490576201766605 C4(13,439) = 3512 Sum = 4837.818932901919985 Averaged sum = 0.4833468810972045144 logp*logq = 15.60643286004225815 -------------- ************************************* p = 13; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6136087.403617145530 -------------- Searches starting with [13,443]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(13,443) = 1.087113560871421020 D2(13,443) = 0.03104754004260461902 C1(13,443) = 1.434885879910828955 C2(13,443) = 2.250188747031084435 C3(13,443) = 3.863504179689689764 C4(13,443) = 3544 Sum = 4825.897127064769391 Averaged sum = 0.4821557725112168439 logp*logq = 15.62969786632431482 -------------- ************************************* p = 13; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6351518.219124395259 -------------- Searches starting with [13,449]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(13,449) = 2.321494160612922813 D2(13,449) = 0.04676731667623885337 C1(13,449) = 2.880464613838451243 C2(13,449) = 2.268745413086809546 C3(13,449) = 15.07776578101436445 C4(13,449) = 3592 Sum = 8695.154130173300098 Averaged sum = 0.8687335528197921968 logp*logq = 15.66420443191739374 -------------- ************************************* p = 13; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6645847.145304739169 -------------- Searches starting with [13,457]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(13,457) = 0.7993619072073906907 D2(13,457) = 0.06816936864505104070 C1(13,457) = 0.9574724579327378211 C2(13,457) = 2.293870089074063761 C3(13,457) = 2.464232489145864911 C4(13,457) = 3656 Sum = 5202.112752014739722 Averaged sum = 0.5197435060460325429 logp*logq = 15.70950272812943638 -------------- ************************************* p = 13; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6796072.090081445889 -------------- Searches starting with [13,461]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(13,461) = 1.112215049597580992 D2(13,461) = 0.07908184801057544839 C1(13,461) = 1.373647256896112453 C2(13,461) = 2.306618893175253775 C3(13,461) = 3.646951303117184253 C4(13,461) = 3688 Sum = 5780.401173513444562 Averaged sum = 0.5775203490372109663 logp*logq = 15.73185536944010048 -------------- ************************************* p = 13; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6871954.102110277109 -------------- Searches starting with [13,463]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(13,463) = 1.038954461113222092 D2(13,463) = 0.08459558788497712025 C1(13,463) = 1.271701902875955529 C2(13,463) = 2.313044676868420573 C3(13,463) = 3.313036966839087523 C4(13,463) = 3704 Sum = 4444.066572042022235 Averaged sum = 0.4440070508584296368 logp*logq = 15.74295906365277682 -------------- ************************************* p = 13; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7025263.491762475176 -------------- Searches starting with [13,467]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(13,467) = 0.8810609839987505105 D2(13,467) = 0.08083974738226544050 C1(13,467) = 1.215248295772893024 C2(13,467) = 1.486584767292471556 C3(13,467) = 3.141465598452010563 C4(13,467) = 3736 Sum = 4879.735438760704295 Averaged sum = 0.4875347625897396637 logp*logq = 15.76502328020488222 -------------- ************************************* p = 13; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7497644.644430887686 -------------- Searches starting with [13,479]-exponents: u = 12, v = 2 n_start has 19 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(13,479) = 0.9469085049909355526 D2(13,479) = 0.08076596091235256041 C1(13,479) = 1.152243840957172220 C2(13,479) = 2.413142979161851579 C3(13,479) = 2.960455393543506017 C4(13,479) = 3832 Sum = 4468.891702516204140 Averaged sum = 0.4464873316531325946 logp*logq = 15.83009948177410945 -------------- ************************************* p = 13; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7823042.366633201758 -------------- Searches starting with [13,487]-exponents: u = 12, v = 2 n_start has 19 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(13,487) = 0.7451709481964287305 D2(13,487) = 0.04904231908779977442 C1(13,487) = 0.8848855685316042276 C2(13,487) = 2.385783305365706555 C3(13,487) = 2.301377813258416459 C4(13,487) = 3896 Sum = 5128.906496457266319 Averaged sum = 0.5124294631289106124 logp*logq = 15.87258408630296877 -------------- ************************************* p = 13; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7988913.964275430941 -------------- Searches starting with [13,491]-exponents: u = 12, v = 2 n_start has 19 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(13,491) = 0.8421665254383062249 D2(13,491) = 0.03406977481973110370 C1(13,491) = 1.077771687192561554 C2(13,491) = 2.372965553396953435 C3(13,491) = 2.759901248007434540 C4(13,491) = 3928 Sum = 5073.564577822829321 Averaged sum = 0.5069002475594794007 logp*logq = 15.89356538413286798 -------------- ************************************* p = 13; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8327051.696187673029 -------------- Searches starting with [13,499]-exponents: u = 12, v = 2 n_start has 19 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(13,499) = 0.7810326927841926314 D2(13,499) = 0.005665491600731059853 C1(13,499) = 0.9378515455588429036 C2(13,499) = 2.348817945164855831 C3(13,499) = 2.419107567042201501 C4(13,499) = 3992 Sum = 5131.331346198553680 Averaged sum = 0.5126717300627988490 logp*logq = 15.93502001345948417 -------------- ************************************* p = 13; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8499337.351961724826 -------------- Searches starting with [13,503]-exponents: u = 12, v = 2 n_start has 19 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(13,503) = 0.7374910693663429863 D2(13,503) = 0.1703853696062971944 C1(13,503) = 0.9827988329159368500 C2(13,503) = 1.640088890631281238 C3(13,503) = 2.523725768441364628 C4(13,503) = 4024 Sum = 4940.298048696045367 Averaged sum = 0.4935855778495399507 logp*logq = 15.95549875982887759 -------------- ************************************* p = 13; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8761814.143370961055 -------------- Searches starting with [13,509]-exponents: u = 17, v = 2 n_start has 25 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(13,509) = 0.9962166228641256581 D2(13,509) = 0.1276804658776635793 C1(13,509) = 1.327421834516923664 C2(13,509) = 1.395998240117039298 C3(13,509) = 3.491564942426920702 C4(13,509) = 4072 Sum = 5146.155067092379374 Averaged sum = 0.5141527692169426889 logp*logq = 15.98591353546369238 -------------- ************************************* p = 13; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9301461.069537799068 -------------- Searches starting with [13,521]-exponents: u = 17, v = 2 n_start has 25 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(13,521) = 0.8447145152724734131 D2(13,521) = 0.1126398739017766571 C1(13,521) = 1.017493256603398334 C2(13,521) = 2.274029883650905883 C3(13,521) = 2.607563631199809347 C4(13,521) = 4168 Sum = 5153.458362791574226 Averaged sum = 0.5148824420812842668 logp*logq = 16.04568205003528008 -------------- ************************************* p = 13; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9393320.919720616492 -------------- Searches starting with [13,523]-exponents: u = 17, v = 2 n_start has 25 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(13,523) = 0.7379180533222834117 D2(13,523) = 0.1001822639608201600 C1(13,523) = 0.8684975614979827440 C2(13,523) = 2.262520373635163157 C3(13,523) = 2.266125384882179870 C4(13,523) = 4184 Sum = 4962.987365258537542 Averaged sum = 0.4958524693034806216 logp*logq = 16.05550945423146940 -------------- ************************************* p = 13; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10245014.30057717311 -------------- Searches starting with [13,541]-exponents: u = 22, v = 2 n_start has 30 digits starting right neighbors generation We generated 119 left neighbors We generated 9891 right neighbors We generated 10009 non-negative rho_i D1(13,541) = 0.8717162965260819455 D2(13,541) = 0.002830017250211429448 C1(13,541) = 1.021764310298432383 C2(13,541) = 2.173539853340721933 C3(13,541) = 2.618075174764756760 C4(13,541) = 4328 Sum = 5102.223111232719605 Averaged sum = 0.5097635239517154166 logp*logq = 16.14230173551333067 -------------- ************************************* p = 13; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10538986.14128040806 -------------- Searches starting with [13,547]-exponents: u = 27, v = 2 n_start has 36 digits starting right neighbors generation We generated 146 left neighbors We generated 9864 right neighbors We generated 10009 non-negative rho_i D1(13,547) = 0.7939181921261633490 D2(13,547) = 0.08920918579762710553 C1(13,547) = 0.9281254338773821317 C2(13,547) = 2.135484370663720666 C3(13,547) = 2.397046361836298750 C4(13,547) = 4376 Sum = 4978.072396411461515 Averaged sum = 0.4973596159867580692 logp*logq = 16.17059190492141546 -------------- ************************************* p = 13; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11040265.52454292582 -------------- Searches starting with [13,557]-exponents: u = 32, v = 2 n_start has 42 digits starting right neighbors generation We generated 219 left neighbors We generated 9791 right neighbors We generated 10009 non-negative rho_i D1(13,557) = 0.7561501252373747282 D2(13,557) = 0.01959012551346398566 C1(13,557) = 0.9088818594930201503 C2(13,557) = 2.070136360383566207 C3(13,557) = 2.353988276940364081 C4(13,557) = 4456 Sum = 5310.977751773219096 Averaged sum = 0.5306202169820380753 logp*logq = 16.21705964966013400 -------------- ************************************* p = 13; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11347880.14203860845 -------------- Searches starting with [13,563]-exponents: u = 37, v = 2 n_start has 47 digits starting right neighbors generation We generated 256 left neighbors We generated 9754 right neighbors We generated 10009 non-negative rho_i D1(13,563) = 0.8254052448046309703 D2(13,563) = 0.06110027577603556865 C1(13,563) = 0.9721463926366782674 C2(13,563) = 2.021760080629246725 C3(13,563) = 2.498529460656813096 C4(13,563) = 4504 Sum = 5277.967846816404871 Averaged sum = 0.5273221947064047228 logp*logq = 16.24454151282113916 -------------- ************************************* p = 13; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11660668.18889813443 -------------- Searches starting with [13,569]-exponents: u = 42, v = 2 n_start has 53 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(13,569) = 0.8263017398142055261 D2(13,569) = 0.01281168000050958734 C1(13,569) = 1.028464716111648907 C2(13,569) = 1.975875684218736380 C3(13,569) = 2.634651073832880421 C4(13,569) = 4552 Sum = 4802.962397917182464 Averaged sum = 0.4798643618660388114 logp*logq = 16.27173204332514722 -------------- ************************************* p = 13; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11766085.89751339285 -------------- Searches starting with [13,571]-exponents: u = 47, v = 2 n_start has 58 digits starting right neighbors generation We generated 396 left neighbors We generated 9614 right neighbors We generated 10009 non-negative rho_i D1(13,571) = 0.7271930098806917496 D2(13,571) = 0.06042096905114340301 C1(13,571) = 0.8646378998246511120 C2(13,571) = 1.952930796514553124 C3(13,571) = 2.257901697058487841 C4(13,571) = 4568 Sum = 5275.381130766783717 Averaged sum = 0.5270637556965514754 logp*logq = 16.28073187486547489 -------------- ************************************* p = 13; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12085820.16671119667 -------------- Searches starting with [13,577]-exponents: u = 57, v = 2 n_start has 70 digits starting right neighbors generation We generated 632 left neighbors We generated 9378 right neighbors We generated 10009 non-negative rho_i D1(13,577) = 0.8644339246585385634 D2(13,577) = 0.004747867789656253435 C1(13,577) = 1.013807994242212952 C2(13,577) = 1.899553454214229921 C3(13,577) = 2.598527710311832542 C4(13,577) = 4616 Sum = 5021.437113228815556 Averaged sum = 0.5016921883533635284 logp*logq = 16.30754343632175037 -------------- ************************************* p = 13; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12630382.96120731867 -------------- Searches starting with [13,587]-exponents: u = 82, v = 2 n_start has 97 digits starting right neighbors generation We generated 1169 left neighbors We generated 8841 right neighbors We generated 10009 non-negative rho_i D1(13,587) = 0.6819001164428998361 D2(13,587) = 0.01935964153390575622 C1(13,587) = 0.8257284382775110734 C2(13,587) = 1.772233750729484562 C3(13,587) = 2.176646958729233162 C4(13,587) = 4696 Sum = 5247.667158922584953 Averaged sum = 0.5242948505267843893 logp*logq = 16.35161581541942498 -------------- ************************************* p = 13; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12964174.07829473358 -------------- Searches starting with [13,593]-exponents: u = 117, v = 2 n_start has 136 digits starting right neighbors generation We generated 2342 left neighbors We generated 7668 right neighbors We generated 10009 non-negative rho_i D1(13,593) = 0.9262572007372366969 D2(13,593) = 0.01431573302581788895 C1(13,593) = 1.109467127056488821 C2(13,593) = 1.676390898314724388 C3(13,593) = 2.843540873159407473 C4(13,593) = 4744 Sum = 4886.677818491485105 Averaged sum = 0.4882283763104690883 logp*logq = 16.37770027097621913 -------------- ************************************* p = 13; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13303292.60561124708 -------------- Searches starting with [13,599]-exponents: u = 182, v = 2 n_start has 209 digits --- performed 5000 steps in the continued fraction search [13,599]-exponents: u = 55, v = 16 --- starting right neighbors generation We generated 5505 left neighbors We generated 4505 right neighbors We generated 10009 non-negative rho_i D1(13,599) = 1.134225505749721427 D2(13,599) = 0.003515339763355599376 C1(13,599) = 1.338459713741024425 C2(13,599) = 1.550042325065262466 C3(13,599) = 3.528056134906148654 C4(13,599) = 4792 Sum = 5801.251815660571118 Averaged sum = 0.5796035383815137494 logp*logq = 16.40352212688466238 -------------- ************************************* p = 13; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13417521.23937728952 -------------- Searches starting with [13,601]-exponents: u = 232, v = 2 n_start has 264 digits --- performed 5000 steps in the continued fraction search [13,601]-exponents: u = 65, v = 44 --- starting right neighbors generation We generated 8981 left neighbors We generated 1029 right neighbors We generated 10009 non-negative rho_i D1(13,601) = 1.069411965745310442 D2(13,601) = 0.001110813817952016815 C1(13,601) = 1.254352139137672917 C2(13,601) = 1.495381762349467349 C3(13,601) = 3.259333957103244227 C4(13,601) = 4808 Sum = 5742.980185648992993 Averaged sum = 0.5737816151112991300 logp*logq = 16.41207196599272440 -------------- ************************************* p = 13; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13763790.22450640416 -------------- Searches starting with [13,607]-exponents: u = 832, v = 2 n_start has 933 digits --- performed 5000 steps in the continued fraction search [13,607]-exponents: u = 572, v = 100 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,607) = 0.7968186849871405893 D2(13,607) = 0.3934551386613642619 C1(13,607) = 0.9084446647488808567 C2(13,607) = 1.504865335798753769 C3(13,607) = 2.353019079041388017 C4(13,607) = 4856 Sum = 6348.437647141721172 Averaged sum = 0.6349072554397160887 logp*logq = 16.43755180490181888 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,607) = 0.7968186849871405893 D2(13,607) = 0.3934551386613642619 C1(13,607) = 0.9084446647488808567 C2(13,607) = 1.504865335798753769 C3(13,607) = 2.353019079041388017 C4(13,607) = 4856 Sum = 6348.437647141721172 Averaged sum = 0.6349072554397160887 logp*logq = 16.43755180490181888 -------------- ************************************* p = 13; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14115457.31524945224 -------------- Searches starting with [13,613]-exponents: u = 5, v = 213 n_start has 600 digits --- performed 5000 steps in the continued fraction search [13,613]-exponents: u = 464, v = 20 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,613) = 0.7018747182591688658 D2(13,613) = 0.2812676020814560361 C1(13,613) = 0.8071739476180833435 C2(13,613) = 1.472232634250138642 C3(13,613) = 2.138935781426384744 C4(13,613) = 4904 Sum = 6130.619824181565604 Averaged sum = 0.6131232947476313235 logp*logq = 16.46278101838324283 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,613) = 0.7018747182591688658 D2(13,613) = 0.2812676020814560361 C1(13,613) = 0.8071739476180833435 C2(13,613) = 1.472232634250138642 C3(13,613) = 2.138935781426384744 C4(13,613) = 4904 Sum = 6130.619824181565604 Averaged sum = 0.6131232947476313235 logp*logq = 16.46278101838324283 -------------- ************************************* p = 13; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14352915.84985837169 -------------- Searches starting with [13,617]-exponents: u = 5, v = 101 n_start has 288 digits --- performed 5000 steps in the continued fraction search [13,617]-exponents: u = 125, v = 31 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,617) = 0.6328079351027785883 D2(13,617) = 0.01682991527862590563 C1(13,617) = 0.7552485153214740957 C2(13,617) = 1.472631862547096054 C3(13,617) = 2.036836422630306921 C4(13,617) = 4936 Sum = 5804.586866770948811 Averaged sum = 0.5805167383509299741 logp*logq = 16.47946367464065518 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,617) = 0.6328079351027785883 D2(13,617) = 0.01682991527862590563 C1(13,617) = 0.7552485153214740957 C2(13,617) = 1.472631862547096054 C3(13,617) = 2.036836422630306921 C4(13,617) = 4936 Sum = 5804.586866770948811 Averaged sum = 0.5805167383509299741 logp*logq = 16.47946367464065518 -------------- ************************************* p = 13; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14472552.59217895252 -------------- Searches starting with [13,619]-exponents: u = 5, v = 81 n_start has 232 digits --- performed 5000 steps in the continued fraction search [13,619]-exponents: u = 85, v = 19 --- starting right neighbors generation We generated 6737 left neighbors We generated 3273 right neighbors We generated 10009 non-negative rho_i D1(13,619) = 0.7674405973209007024 D2(13,619) = 0.008773539429150890638 C1(13,619) = 0.9034948306381521851 C2(13,619) = 1.531053916177094035 C3(13,619) = 2.342073803314278310 C4(13,619) = 4952 Sum = 5576.145504111389144 Averaged sum = 0.5571131485774192370 logp*logq = 16.48776448886747116 -------------- ************************************* p = 13; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15203147.38954428971 -------------- Searches starting with [13,631]-exponents: u = 5, v = 35 n_start has 104 digits starting right neighbors generation We generated 1362 left neighbors We generated 8648 right neighbors We generated 10009 non-negative rho_i D1(13,631) = 0.8397948850830287807 D2(13,631) = 0.001874349917489448867 C1(13,631) = 1.014316223819872044 C2(13,631) = 1.764054304061645700 C3(13,631) = 2.599771978226450145 C4(13,631) = 5048 Sum = 5625.087778506720527 Averaged sum = 0.5620029751730163380 logp*logq = 16.53701302948308358 -------------- ************************************* p = 13; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15828825.78881738790 -------------- Searches starting with [13,641]-exponents: u = 5, v = 25 n_start has 76 digits starting right neighbors generation We generated 706 left neighbors We generated 9304 right neighbors We generated 10009 non-negative rho_i D1(13,641) = 0.8107339567198591977 D2(13,641) = 0.03112148593919384317 C1(13,641) = 0.9950581708673599003 C2(13,641) = 1.883121669831373006 C3(13,641) = 2.553037519695293641 C4(13,641) = 5128 Sum = 3953.133071882922852 Averaged sum = 0.3949578451276773755 logp*logq = 16.57734325278365734 -------------- ************************************* p = 13; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15955812.73636346361 -------------- Searches starting with [13,643]-exponents: u = 5, v = 23 n_start has 71 digits starting right neighbors generation We generated 639 left neighbors We generated 9371 right neighbors We generated 10009 non-negative rho_i D1(13,643) = 0.7184850022871453068 D2(13,643) = 0.0009649815115418942717 C1(13,643) = 0.8596022690975616215 C2(13,643) = 1.910306884454290645 C3(13,643) = 2.247217251668856632 C4(13,643) = 5144 Sum = 5102.764763719500807 Averaged sum = 0.5098176404955041269 logp*logq = 16.58533375568658749 -------------- ************************************* p = 13; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16211646.62469933366 -------------- Searches starting with [13,647]-exponents: u = 5, v = 21 n_start has 65 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(13,647) = 0.8183188950657141567 D2(13,647) = 0.03263224912290474181 C1(13,647) = 0.9560016689409040876 C2(13,647) = 1.942998361638861596 C3(13,647) = 2.460820922130666602 C4(13,647) = 5176 Sum = 4662.618197817039787 Averaged sum = 0.4658425614763752410 logp*logq = 16.60124046934864312 -------------- ************************************* p = 13; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16600063.73994252621 -------------- Searches starting with [13,653]-exponents: u = 5, v = 17 n_start has 54 digits starting right neighbors generation We generated 354 left neighbors We generated 9656 right neighbors We generated 10009 non-negative rho_i D1(13,653) = 0.7655983341048574828 D2(13,653) = 0.01578650398157550083 C1(13,653) = 0.9034561601718520440 C2(13,653) = 1.998194332592792880 C3(13,653) = 2.341988494337633649 C4(13,653) = 5224 Sum = 5131.096880927292381 Averaged sum = 0.5126483046185725228 logp*logq = 16.62491709307497368 -------------- ************************************* p = 13; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16994106.39529860054 -------------- Searches starting with [13,659]-exponents: u = 5, v = 15 n_start has 48 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(13,659) = 0.8315115110492252170 D2(13,659) = 0.05714308978875702692 C1(13,659) = 0.9939993478216519647 C2(13,659) = 2.041109522342024577 C3(13,659) = 2.550492526144935990 C4(13,659) = 5272 Sum = 5218.767622882892107 Averaged sum = 0.5214074955423011397 logp*logq = 16.64837715928268056 -------------- ************************************* p = 13; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17126709.10767939248 -------------- Searches starting with [13,661]-exponents: u = 5, v = 15 n_start has 48 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(13,661) = 0.6609059227395957138 D2(13,661) = 0.07179083092855701451 C1(13,661) = 0.7911688277752352022 C2(13,661) = 2.056273602557675291 C3(13,661) = 2.106931375673921950 C4(13,661) = 5288 Sum = 5225.287706912580348 Averaged sum = 0.5220589176653592115 logp*logq = 16.65614973904096967 -------------- ************************************* p = 13; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17935579.85288932550 -------------- Searches starting with [13,673]-exponents: u = 5, v = 11 n_start has 37 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(13,673) = 1.051398062152608995 D2(13,673) = 0.05449172124222264721 C1(13,673) = 1.334638565131895494 C2(13,673) = 2.133260843996693260 C3(13,673) = 3.515380470564917758 C4(13,673) = 5384 Sum = 4747.419145685685335 Averaged sum = 0.4743150310406319647 logp*logq = 16.70229699922540731 -------------- ************************************* p = 13; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18210278.46759291268 -------------- Searches starting with [13,677]-exponents: u = 5, v = 11 n_start has 37 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(13,677) = 0.7556869163236758941 D2(13,677) = 0.07770426189861019633 C1(13,677) = 0.8968232991044380568 C2(13,677) = 2.157524786105922649 C3(13,677) = 2.327401952594511711 C4(13,677) = 5416 Sum = 5156.562114005531041 Averaged sum = 0.5151925381162484805 logp*logq = 16.71749674360185599 -------------- ************************************* p = 13; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18627113.57879507656 -------------- Searches starting with [13,683]-exponents: u = 5, v = 11 n_start has 37 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(13,683) = 0.8407574362397341288 D2(13,683) = 0.1148586816712598487 C1(13,683) = 1.078447478299299112 C2(13,683) = 2.196244539320561648 C3(13,683) = 2.761658632965484399 C4(13,683) = 5464 Sum = 4886.405370408710736 Averaged sum = 0.4882011560004706500 logp*logq = 16.74012879653212041 -------------- ************************************* p = 13; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19191874.41688528568 -------------- Searches starting with [13,691]-exponents: u = 5, v = 9 n_start has 32 digits starting right neighbors generation We generated 122 left neighbors We generated 9888 right neighbors We generated 10009 non-negative rho_i D1(13,691) = 1.096097977314583081 D2(13,691) = 0.02066623486581919815 C1(13,691) = 1.308208883240483233 C2(13,691) = 2.229315343694504985 C3(13,691) = 3.428944953967588282 C4(13,691) = 5528 Sum = 5627.401878870832309 Averaged sum = 0.5622341771276683294 logp*logq = 16.76999753996656993 -------------- ************************************* p = 13; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19912353.87087441701 -------------- Searches starting with [13,701]-exponents: u = 5, v = 9 n_start has 32 digits starting right neighbors generation We generated 122 left neighbors We generated 9888 right neighbors We generated 10009 non-negative rho_i D1(13,701) = 0.9418713230815335481 D2(13,701) = 0.06062771508029343736 C1(13,701) = 1.224852901079229458 C2(13,701) = 2.271972872301174573 C3(13,701) = 3.170015228735388322 C4(13,701) = 5608 Sum = 4854.829501815276974 Averaged sum = 0.4850464084139551378 logp*logq = 16.80685089461102359 -------------- ************************************* p = 13; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20500442.21314566865 -------------- Searches starting with [13,709]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(13,709) = 0.7169893005633258795 D2(13,709) = 0.09481583581048453045 C1(13,709) = 0.8682149811319654765 C2(13,709) = 2.308289797028437658 C3(13,709) = 2.265522282869226971 C4(13,709) = 5672 Sum = 5087.099846394287814 Averaged sum = 0.5082525573378247391 logp*logq = 16.83595701524893733 -------------- ************************************* p = 13; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21250293.45651437845 -------------- Searches starting with [13,719]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(13,719) = 1.279693917798517497 D2(13,719) = 0.1411095901899117382 C1(13,719) = 1.517495466556928503 C2(13,719) = 2.357210437653932388 C3(13,719) = 4.176141607112712189 C4(13,719) = 5752 Sum = 5721.737465151949771 Averaged sum = 0.5716592531873263834 logp*logq = 16.87188126295767035 -------------- ************************************* p = 13; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21862048.25112666155 -------------- Searches starting with [13,727]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(13,727) = 0.7941680100254577963 D2(13,727) = 0.1451053322962145148 C1(13,727) = 1.053068642740379069 C2(13,727) = 1.608981645388254903 C3(13,727) = 2.696423175519099568 C4(13,727) = 5816 Sum = 5212.406605166954576 Averaged sum = 0.5207719657475226871 logp*logq = 16.90026273491090706 -------------- ************************************* p = 13; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22327834.21378672706 -------------- Searches starting with [13,733]-exponents: u = 5, v = 5 n_start has 20 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(13,733) = 1.177002220909169479 D2(13,733) = 0.1144863413959255382 C1(13,733) = 1.560573635115718088 C2(13,733) = 1.295848816882036247 C3(13,733) = 4.349081856459575388 C4(13,733) = 5864 Sum = 4469.551947356118306 Averaged sum = 0.4465532967685201624 logp*logq = 16.92134462913430553 -------------- ************************************* p = 13; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22799625.26805806370 -------------- Searches starting with [13,739]-exponents: u = 5, v = 5 n_start has 20 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(13,739) = 0.6925588017237058521 D2(13,739) = 0.1772685846945425143 C1(13,739) = 0.9182557072003648599 C2(13,739) = 2.221286392652010137 C3(13,739) = 2.374865059964809888 C4(13,739) = 5912 Sum = 5164.977758484358547 Averaged sum = 0.5160333458371823906 logp*logq = 16.94225465817811461 -------------- ************************************* p = 13; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23117502.49295453023 -------------- Searches starting with [13,743]-exponents: u = 5, v = 5 n_start has 20 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(13,743) = 0.7029268954549265906 D2(13,743) = 0.003139990409272522248 C1(13,743) = 0.8603971627157795465 C2(13,743) = 2.415159527871173284 C3(13,743) = 2.248900465628189184 C4(13,743) = 5944 Sum = 5075.363741357168838 Averaged sum = 0.5070800021337964670 logp*logq = 16.95610057227233869 -------------- ************************************* p = 13; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23761333.43735066104 -------------- Searches starting with [13,751]-exponents: u = 5, v = 5 n_start has 20 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(13,751) = 0.7959859713830993301 D2(13,751) = 0.02137096664524118916 C1(13,751) = 0.9551886915510081307 C2(13,751) = 2.435581393107442077 C3(13,751) = 2.458937208592146359 C4(13,751) = 6008 Sum = 4911.499892390303635 Averaged sum = 0.4907083517224801314 logp*logq = 16.98357017198460528 -------------- ************************************* p = 13; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24251305.70209215936 -------------- Searches starting with [13,757]-exponents: u = 5, v = 5 n_start has 20 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(13,757) = 0.9641317484012708852 D2(13,757) = 0.03532294968999182539 C1(13,757) = 1.141368401054383763 C2(13,757) = 2.451160952831743715 C3(13,757) = 2.930283299402193921 C4(13,757) = 6056 Sum = 5146.548386167691104 Averaged sum = 0.5141920657575872818 logp*logq = 17.00398101728350696 -------------- ************************************* p = 13; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24581349.62992431852 -------------- Searches starting with [13,761]-exponents: u = 5, v = 5 n_start has 20 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(13,761) = 0.9538205546001315296 D2(13,761) = 0.04476861594079161846 C1(13,761) = 1.124372117605582463 C2(13,761) = 2.461684365262333645 C3(13,761) = 2.883744576644991183 C4(13,761) = 6088 Sum = 5108.950220298762374 Averaged sum = 0.5104356299629096187 logp*logq = 17.01749856824020901 -------------- ************************************* p = 13; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25249623.74804160498 -------------- Searches starting with [13,769]-exponents: u = 5, v = 5 n_start has 20 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(13,769) = 0.9205698028759189976 D2(13,769) = 0.06403727537539025460 C1(13,769) = 1.135045240508853714 C2(13,769) = 2.483091263239248812 C3(13,769) = 2.912882316447466601 C4(13,769) = 6152 Sum = 5119.254093886422873 Averaged sum = 0.5114650908069160628 logp*logq = 17.04432181250696172 -------------- ************************************* p = 13; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25587870.09164182410 -------------- Searches starting with [13,773]-exponents: u = 5, v = 5 n_start has 21 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(13,773) = 0.8664271581570316646 D2(13,773) = 0.07387531807994811146 C1(13,773) = 1.058523713433426685 C2(13,773) = 2.493989919209157707 C3(13,773) = 2.710313978301642721 C4(13,773) = 6184 Sum = 4189.491232984629163 Averaged sum = 0.4185724081311448859 logp*logq = 17.05762897261422781 -------------- ************************************* p = 13; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26793443.26306524365 -------------- Searches starting with [13,787]-exponents: u = 5, v = 5 n_start has 21 digits starting right neighbors generation We generated 51 left neighbors We generated 9959 right neighbors We generated 10009 non-negative rho_i D1(13,787) = 1.637644073891698610 D2(13,787) = 0.04909011536952362737 C1(13,787) = 2.239066519137657210 C2(13,787) = 1.113981247845643065 C3(13,787) = 8.240520291113146186 C4(13,787) = 6296 Sum = 2707.805510816865607 Averaged sum = 0.2705370677207378966 logp*logq = 17.10366776118508698 -------------- ************************************* p = 13; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27675384.10669959324 -------------- Searches starting with [13,797]-exponents: u = 13, v = 3 n_start has 24 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(13,797) = 1.063782447004583965 D2(13,797) = 0.08746221254983607165 C1(13,797) = 1.276141911213530943 C2(13,797) = 1.644151682960128363 C3(13,797) = 3.326921816988129756 C4(13,797) = 6376 Sum = 6131.760247722147496 Averaged sum = 0.6126246625758964427 logp*logq = 17.13605391565686347 -------------- ************************************* p = 13; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28756808.94396791437 -------------- Searches starting with [13,809]-exponents: u = 13, v = 3 n_start has 24 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(13,809) = 0.7785789102436961289 D2(13,809) = 0.07150888078340854512 C1(13,809) = 0.9115950487851145255 C2(13,809) = 2.388056497973559828 C3(13,809) = 2.360011960080253933 C4(13,809) = 6472 Sum = 4908.294340365524024 Averaged sum = 0.4903880847602681611 logp*logq = 17.17438513000083177 -------------- ************************************* p = 13; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28939509.82829551998 -------------- Searches starting with [13,811]-exponents: u = 13, v = 3 n_start has 24 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(13,811) = 0.8585636663100538069 D2(13,811) = 0.06850369050620423054 C1(13,811) = 1.068611294921901771 C2(13,811) = 2.385634744524253399 C3(13,811) = 2.736189806503988662 C4(13,811) = 6488 Sum = 4578.161014841851858 Averaged sum = 0.4574044374904437864 logp*logq = 17.18071834150846635 -------------- ************************************* p = 13; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29863630.83080785240 -------------- Searches starting with [13,821]-exponents: u = 13, v = 3 n_start has 24 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(13,821) = 0.7928688042343675816 D2(13,821) = 0.05386778110486022754 C1(13,821) = 1.004654817907220734 C2(13,821) = 2.373894207827039698 C3(13,821) = 2.576220205365953482 C4(13,821) = 6568 Sum = 4933.619624475069050 Averaged sum = 0.4929183359451562643 logp*logq = 17.21215193782079932 -------------- ************************************* p = 13; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30050585.21888882904 -------------- Searches starting with [13,823]-exponents: u = 13, v = 3 n_start has 24 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(13,823) = 0.6766337242436421347 D2(13,823) = 0.05101522404957546384 C1(13,823) = 0.8090782581672876888 C2(13,823) = 2.371616413131613685 C3(13,823) = 2.142775927460671206 C4(13,823) = 6584 Sum = 5172.881716931235663 Averaged sum = 0.5168230309652548370 logp*logq = 17.21839269359408907 -------------- ************************************* p = 13; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30426632.01689354575 -------------- Searches starting with [13,827]-exponents: u = 13, v = 3 n_start has 24 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(13,827) = 1.290246305500173061 D2(13,827) = 0.04538110933165965985 C1(13,827) = 1.593523551573674848 C2(13,827) = 2.367127567272823290 C3(13,827) = 4.486179990286403780 C4(13,827) = 6616 Sum = 5099.381439175481855 Averaged sum = 0.5094796122665083280 logp*logq = 17.23082883605311179 -------------- ************************************* p = 13; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30615726.38072397076 -------------- Searches starting with [13,829]-exponents: u = 13, v = 3 n_start has 24 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(13,829) = 1.020248541098351561 D2(13,829) = 0.04259870125661968373 C1(13,829) = 1.217371150958123990 C2(13,829) = 2.364915679545795546 C3(13,829) = 3.147753556180988857 C4(13,829) = 6632 Sum = 5635.674308960637859 Averaged sum = 0.5630606762874051213 logp*logq = 17.23702436891434357 -------------- ************************************* p = 13; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31571946.83400624665 -------------- Searches starting with [13,839]-exponents: u = 13, v = 3 n_start has 24 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(13,839) = 1.272320842218132257 D2(13,839) = 0.02901715398150243951 C1(13,839) = 1.665976660112630059 C2(13,839) = 2.354165865667784065 C3(13,839) = 4.803034700185038620 C4(13,839) = 6712 Sum = 3848.186132007122391 Averaged sum = 0.3844725878716277741 logp*logq = 17.26777952584873878 -------------- ************************************* p = 13; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32940928.33762907025 -------------- Searches starting with [13,853]-exponents: u = 21, v = 3 n_start has 33 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(13,853) = 0.7933913221349648899 D2(13,853) = 0.009880798354367142363 C1(13,853) = 0.9844324679058109946 C2(13,853) = 2.128467016682271715 C3(13,853) = 2.527612226907842308 C4(13,853) = 6824 Sum = 4682.020324636245968 Averaged sum = 0.4677810295370412596 logp*logq = 17.31022646500119377 -------------- ************************************* p = 13; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33338593.57099109391 -------------- Searches starting with [13,857]-exponents: u = 21, v = 3 n_start has 33 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(13,857) = 0.7016615367711453284 D2(13,857) = 0.005317243981787930262 C1(13,857) = 0.8254868229421457666 C2(13,857) = 2.124841808192032206 C3(13,857) = 2.176151638885217583 C4(13,857) = 6856 Sum = 4973.667473980477155 Averaged sum = 0.4969195198302005350 logp*logq = 17.32222624996375331 -------------- ************************************* p = 13; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33538518.94798438101 -------------- Searches starting with [13,859]-exponents: u = 21, v = 3 n_start has 33 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(13,859) = 0.6896309036849644197 D2(13,859) = 0.003060035866186195346 C1(13,859) = 0.8138091818356490165 C2(13,859) = 2.123052095928073190 C3(13,859) = 2.152345959148064929 C4(13,859) = 6872 Sum = 5156.476466002362996 Averaged sum = 0.5151839810173207109 logp*logq = 17.32820515560213452 -------------- ************************************* p = 13; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33940560.02472141291 -------------- Searches starting with [13,863]-exponents: u = 21, v = 3 n_start has 33 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(13,863) = 0.9179456597199881730 D2(13,863) = 0.1303791613359704078 C1(13,863) = 1.174743433217800728 C2(13,863) = 2.249429920019803951 C3(13,863) = 3.023866598642873260 C4(13,863) = 6904 Sum = 4767.040342430981352 Averaged sum = 0.4762753863953423271 logp*logq = 17.34012131806797187 -------------- ************************************* p = 13; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35370802.72195567189 -------------- Searches starting with [13,877]-exponents: u = 29, v = 3 n_start has 42 digits starting right neighbors generation We generated 214 left neighbors We generated 9796 right neighbors We generated 10009 non-negative rho_i D1(13,877) = 0.9776012462769440816 D2(13,877) = 0.08111031315619174424 C1(13,877) = 1.149208635828676956 C2(13,877) = 2.203766060835798734 C3(13,877) = 2.952003606330244463 C4(13,877) = 7016 Sum = 5174.279271898549194 Averaged sum = 0.5169626607951392940 logp*logq = 17.38139725591864171 -------------- ************************************* p = 13; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35786074.68977978417 -------------- Searches starting with [13,881]-exponents: u = 37, v = 3 n_start has 51 digits starting right neighbors generation We generated 343 left neighbors We generated 9667 right neighbors We generated 10009 non-negative rho_i D1(13,881) = 0.7547285011205463949 D2(13,881) = 0.06820780102972011226 C1(13,881) = 0.9516058676578648399 C2(13,881) = 2.191882846438190872 C3(13,881) = 2.450652772835801162 C4(13,881) = 7048 Sum = 4962.420460629262454 Averaged sum = 0.4957958298160917628 logp*logq = 17.39306940055465736 -------------- ************************************* p = 13; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35994820.63218714772 -------------- Searches starting with [13,883]-exponents: u = 37, v = 3 n_start has 51 digits starting right neighbors generation We generated 343 left neighbors We generated 9667 right neighbors We generated 10009 non-negative rho_i D1(13,883) = 0.6763051947279887737 D2(13,883) = 0.06192431481558498274 C1(13,883) = 0.8096011977176294944 C2(13,883) = 2.186107253077018936 C3(13,883) = 2.143831669633935845 C4(13,883) = 7064 Sum = 5131.274659573043621 Averaged sum = 0.5126660664974566511 logp*logq = 17.39888561474177702 -------------- ************************************* p = 13; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36414537.17882673859 -------------- Searches starting with [13,887]-exponents: u = 37, v = 3 n_start has 51 digits starting right neighbors generation We generated 343 left neighbors We generated 9667 right neighbors We generated 10009 non-negative rho_i D1(13,887) = 0.7399482735592837634 D2(13,887) = 0.04967011621587643290 C1(13,887) = 0.9230568417191885767 C2(13,887) = 2.174865354781306908 C3(13,887) = 2.385629411196952080 C4(13,887) = 7096 Sum = 4976.744803104472114 Averaged sum = 0.4972269760320183949 logp*logq = 17.41047862592347211 -------------- ************************************* p = 13; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38557858.97448101435 -------------- Searches starting with [13,907]-exponents: u = 69, v = 3 n_start has 86 digits starting right neighbors generation We generated 1029 left neighbors We generated 8981 right neighbors We generated 10009 non-negative rho_i D1(13,907) = 0.9388956694156266200 D2(13,907) = 0.03555311779100332699 C1(13,907) = 1.142493505359579802 C2(13,907) = 2.034200036878102114 C3(13,907) = 2.933390399190584980 C4(13,907) = 7256 Sum = 5659.320858882484535 Averaged sum = 0.5654232050037450829 logp*logq = 17.46767050164435512 -------------- ************************************* p = 13; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38995523.90034108392 -------------- Searches starting with [13,911]-exponents: u = 85, v = 3 n_start has 104 digits starting right neighbors generation We generated 1551 left neighbors We generated 8459 right neighbors We generated 10009 non-negative rho_i D1(13,911) = 0.7032745955239857172 D2(13,911) = 0.01870803819508505466 C1(13,911) = 0.8311150535938741028 C2(13,911) = 2.018298003903948260 C3(13,911) = 2.187719029508120818 C4(13,911) = 7288 Sum = 5232.288956330378142 Averaged sum = 0.5227584130612826597 logp*logq = 17.47895742572100904 -------------- ************************************* p = 13; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39879914.34800256976 -------------- Searches starting with [13,919]-exponents: u = 133, v = 3 n_start has 158 digits starting right neighbors generation We generated 3599 left neighbors We generated 6411 right neighbors We generated 10009 non-negative rho_i D1(13,919) = 0.6677949490850802013 D2(13,919) = 0.008897739072050830731 C1(13,919) = 0.8467696107187074421 C2(13,919) = 1.918004340295068753 C3(13,919) = 2.220217348326750428 C4(13,919) = 7352 Sum = 5331.303083131197365 Averaged sum = 0.5326509224828851399 logp*logq = 17.50138335531244003 -------------- ************************************* p = 13; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41002468.01902304638 -------------- Searches starting with [13,929]-exponents: u = 389, v = 3 n_start has 443 digits --- performed 5000 steps in the continued fraction search [13,929]-exponents: u = 116, v = 92 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,929) = 0.6112640460229824824 D2(13,929) = 0.2501550679334864206 C1(13,929) = 0.7078123182823307613 C2(13,929) = 1.572837396557371139 C3(13,929) = 1.947829819053696578 C4(13,929) = 7432 Sum = 5881.014491231967163 Averaged sum = 0.5881602651497116874 logp*logq = 17.52914281844282829 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,929) = 0.6112640460229824824 D2(13,929) = 0.2501550679334864206 C1(13,929) = 0.7078123182823307613 C2(13,929) = 1.572837396557371139 C3(13,929) = 1.947829819053696578 C4(13,929) = 7432 Sum = 5881.014491231967163 Averaged sum = 0.5881602651497116874 logp*logq = 17.52914281844282829 -------------- ************************************* p = 13; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41914235.98185830391 -------------- Searches starting with [13,937]-exponents: u = 8, v = 301 n_start has 904 digits --- performed 5000 steps in the continued fraction search [13,937]-exponents: u = 162, v = 237 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,937) = 0.6562512153311305027 D2(13,937) = 0.4189724993656138682 C1(13,937) = 0.7486728593687609141 C2(13,937) = 1.592090457228902958 C3(13,937) = 2.024259522721864734 C4(13,937) = 7496 Sum = 6247.019029502923601 Averaged sum = 0.6247643793882311832 logp*logq = 17.55113608809024022 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,937) = 0.6562512153311305027 D2(13,937) = 0.4189724993656138682 C1(13,937) = 0.7486728593687609141 C2(13,937) = 1.592090457228902958 C3(13,937) = 2.024259522721864734 C4(13,937) = 7496 Sum = 6247.019029502923601 Averaged sum = 0.6247643793882311832 logp*logq = 17.55113608809024022 -------------- ************************************* p = 13; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42374715.35919530249 -------------- Searches starting with [13,941]-exponents: u = 8, v = 118 n_start has 360 digits --- performed 5000 steps in the continued fraction search [13,941]-exponents: u = 80, v = 74 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,941) = 0.6035752690080449924 D2(13,941) = 0.1804310587689449562 C1(13,941) = 0.7084196256954003468 C2(13,941) = 1.578376590948265390 C3(13,941) = 1.948944386805104388 C4(13,941) = 7528 Sum = 5775.399417321252426 Averaged sum = 0.5775977015022754702 logp*logq = 17.56206240645519653 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(13,941) = 0.6035752690080449924 D2(13,941) = 0.1804310587689449562 C1(13,941) = 0.7084196256954003468 C2(13,941) = 1.578376590948265390 C3(13,941) = 1.948944386805104388 C4(13,941) = 7528 Sum = 5775.399417321252426 Averaged sum = 0.5775977015022754702 logp*logq = 17.56206240645519653 -------------- ************************************* p = 13; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43071199.45284848554 -------------- Searches starting with [13,947]-exponents: u = 8, v = 61 n_start has 191 digits starting right neighbors generation We generated 5274 left neighbors We generated 4736 right neighbors We generated 10009 non-negative rho_i D1(13,947) = 0.8771702003778814044 D2(13,947) = 0.005378231877735205818 C1(13,947) = 1.037865387766745565 C2(13,947) = 1.868789653619584736 C3(13,947) = 2.658084126767654282 C4(13,947) = 7576 Sum = 5523.767900223263942 Averaged sum = 0.5518800979341856271 logp*logq = 17.57836510555936377 -------------- ************************************* p = 13; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43774623.68655726750 -------------- Searches starting with [13,953]-exponents: u = 8, v = 43 n_start has 138 digits starting right neighbors generation We generated 2709 left neighbors We generated 7301 right neighbors We generated 10009 non-negative rho_i D1(13,953) = 0.9070493311712180919 D2(13,953) = 0.01576569212909292060 C1(13,953) = 1.087112686631476935 C2(13,953) = 1.955721175232898399 C3(13,953) = 2.784291795478952499 C4(13,953) = 7624 Sum = 4805.564570315943853 Averaged sum = 0.4801243451209854984 logp*logq = 17.59456483956142693 -------------- ************************************* p = 13; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45443075.55592847015 -------------- Searches starting with [13,967]-exponents: u = 8, v = 22 n_start has 75 digits starting right neighbors generation We generated 766 left neighbors We generated 9244 right neighbors We generated 10009 non-negative rho_i D1(13,967) = 1.106645271531467087 D2(13,967) = 0.03737352847667166268 C1(13,967) = 1.354556864896005707 C2(13,967) = 2.081674798020316721 C3(13,967) = 3.581958004254885148 C4(13,967) = 7736 Sum = 6030.477895791389708 Averaged sum = 0.6025055345980007701 logp*logq = 17.63197101397598984 -------------- ************************************* p = 13; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45926784.96441935301 -------------- Searches starting with [13,971]-exponents: u = 8, v = 22 n_start has 75 digits starting right neighbors generation We generated 766 left neighbors We generated 9244 right neighbors We generated 10009 non-negative rho_i D1(13,971) = 0.9413852983891813091 D2(13,971) = 0.05198908510430533840 C1(13,971) = 1.158854782891372119 C2(13,971) = 2.097015587363509385 C3(13,971) = 2.978947969902757343 C4(13,971) = 7768 Sum = 3853.300766467086417 Averaged sum = 0.3849835914144356496 logp*logq = 17.64255905525451507 -------------- ************************************* p = 13; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46658217.15789253276 -------------- Searches starting with [13,977]-exponents: u = 8, v = 19 n_start has 66 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(13,977) = 1.012400230987970607 D2(13,977) = 0.008227336335669280863 C1(13,977) = 1.254942087539428844 C2(13,977) = 2.204213110407153188 C3(13,977) = 3.261145656834857732 C4(13,977) = 7816 Sum = 3711.940570023206823 Averaged sum = 0.3708602827478476195 logp*logq = 17.65835961460966183 -------------- ************************************* p = 13; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47396712.85642969447 -------------- Searches starting with [13,983]-exponents: u = 8, v = 16 n_start has 57 digits starting right neighbors generation We generated 465 left neighbors We generated 9545 right neighbors We generated 10009 non-negative rho_i D1(13,983) = 0.6641145117131223913 D2(13,983) = 0.02058671138054212418 C1(13,983) = 0.8304497613572385710 C2(13,983) = 2.217738819168357316 C3(13,983) = 2.186348493074076762 C4(13,983) = 7864 Sum = 5052.229178391213267 Averaged sum = 0.5047686260756532388 logp*logq = 17.67406343524007984 -------------- ************************************* p = 13; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48392403.75411215813 -------------- Searches starting with [13,991]-exponents: u = 8, v = 13 n_start has 48 digits starting right neighbors generation We generated 319 left neighbors We generated 9691 right neighbors We generated 10009 non-negative rho_i D1(13,991) = 1.076429567183048799 D2(13,991) = 0.03746116854452187631 C1(13,991) = 1.309159046410156292 C2(13,991) = 2.236157135704974363 C3(13,991) = 3.432015217981319732 C4(13,991) = 7928 Sum = 5559.617827541516159 Averaged sum = 0.5554618670737852092 logp*logq = 17.69485341214026731 -------------- ************************************* p = 13; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49147476.02987411660 -------------- Searches starting with [13,997]-exponents: u = 8, v = 13 n_start has 48 digits starting right neighbors generation We generated 319 left neighbors We generated 9691 right neighbors We generated 10009 non-negative rho_i D1(13,997) = 0.9922928916529501378 D2(13,997) = 0.05044196543077166426 C1(13,997) = 1.255196179805475923 C2(13,997) = 2.250287502488050555 C3(13,997) = 3.261926270720842209 C4(13,997) = 7976 Sum = 3567.449721856298544 Averaged sum = 0.3564241904142570231 logp*logq = 17.71033605084566827 -------------- ************************************* p = 17; q = 19; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4197.413606189234374 -------------- Searches starting with [17,19]-exponents: u = 1, v = 25 n_start has 34 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(17,19) = 1.017536894652988552 D2(17,19) = 0.04335199196481544143 C1(17,19) = 1.284437835956092750 C2(17,19) = 1.276009313972313304 C3(17,19) = 3.809996860876930659 C4(17,19) = 152 Sum = 6082.647243161905320 Averaged sum = 0.6077177783157063962 logp*logq = 8.342223806533621927 -------------- ************************************* p = 17; q = 23; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7212.162044341995842 -------------- Searches starting with [17,23]-exponents: u = 1, v = 9 n_start has 14 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(17,23) = 0.9571654924569850397 D2(17,23) = 0.2063509885565476005 C1(17,23) = 1.182745743802252855 C2(17,23) = 1.824776250343761246 C3(17,23) = 3.427136416442899714 C4(17,23) = 184 Sum = 6103.346981912268234 Averaged sum = 0.6097858908894263396 logp*logq = 8.883524052781549457 -------------- ************************************* p = 17; q = 29; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13908.66740216838535 -------------- Searches starting with [17,29]-exponents: u = 1, v = 5 n_start has 9 digits starting right neighbors generation We generated 12 left neighbors We generated 9998 right neighbors We generated 10009 non-negative rho_i D1(17,29) = 0.8539993329676508911 D2(17,29) = 0.08360389666493502354 C1(17,29) = 1.032704350260414255 C2(17,29) = 1.390981779075574542 C3(17,29) = 2.931370942451515720 C4(17,29) = 232 Sum = 5947.308089497405056 Averaged sum = 0.5941960325204720807 logp*logq = 9.540267478902529726 -------------- ************************************* p = 17; q = 31; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16801.41471489037712 -------------- Searches starting with [17,31]-exponents: u = 1, v = 4 n_start has 8 digits starting right neighbors generation We generated 10 left neighbors We generated 10000 right neighbors We generated 10009 non-negative rho_i D1(17,31) = 1.049561867906034801 D2(17,31) = 0.06072371306203777794 C1(17,31) = 1.345869737679163056 C2(17,31) = 1.785088864119070756 C3(17,31) = 4.061710765459351462 C4(17,31) = 248 Sum = 5664.645437266442933 Averaged sum = 0.5659551840609894028 logp*logq = 9.729218371065618294 -------------- ************************************* p = 17; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27736.39737736110157 -------------- Searches starting with [17,37]-exponents: u = 5, v = 7 n_start has 18 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(17,37) = 1.186211504274317533 D2(17,37) = 0.1236963042603367221 C1(17,37) = 1.482144188974512083 C2(17,37) = 1.751160336385357376 C3(17,37) = 4.681048109028555358 C4(17,37) = 296 Sum = 5641.150827190521052 Averaged sum = 0.5636078356669518485 logp*logq = 10.23050081439523467 -------------- ************************************* p = 17; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37098.87532704286389 -------------- Searches starting with [17,41]-exponents: u = 17, v = 3 n_start has 26 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(17,41) = 0.7357407510339902545 D2(17,41) = 0.002900944671458668907 C1(17,41) = 0.9463773830556172595 C2(17,41) = 1.704582540219373920 C3(17,41) = 2.679334153588363022 C4(17,41) = 328 Sum = 5769.222530375628866 Averaged sum = 0.5764034898966558963 logp*logq = 10.52134193350106544 -------------- ************************************* p = 17; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42458.49788482361938 -------------- Searches starting with [17,43]-exponents: u = 73, v = 3 n_start has 95 digits starting right neighbors generation We generated 2084 left neighbors We generated 7926 right neighbors We generated 10009 non-negative rho_i D1(17,43) = 0.9000733103943467851 D2(17,43) = 0.005314774244026208293 C1(17,43) = 1.115864388410854019 C2(17,43) = 1.355942278691235369 C3(17,43) = 3.196556172435203021 C4(17,43) = 344 Sum = 6223.657473797724927 Averaged sum = 0.6218061218700894122 logp*logq = 10.65628235744878480 -------------- ************************************* p = 17; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54627.32867804688777 -------------- Searches starting with [17,47]-exponents: u = 4, v = 11 n_start has 24 digits starting right neighbors generation We generated 114 left neighbors We generated 9896 right neighbors We generated 10009 non-negative rho_i D1(17,47) = 1.075525641269256198 D2(17,47) = 0.06635537436729546347 C1(17,47) = 1.357639242052239513 C2(17,47) = 1.728169488722887920 C3(17,47) = 4.111801086839360695 C4(17,47) = 376 Sum = 5504.134080450125184 Averaged sum = 0.5499184814117419506 logp*logq = 10.90828956175097541 -------------- ************************************* p = 17; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76778.81458119973520 -------------- Searches starting with [17,53]-exponents: u = 7, v = 2 n_start has 13 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(17,53) = 1.324129550780477452 D2(17,53) = 0.04521552179055963177 C1(17,53) = 2.032776748672472564 C2(17,53) = 0.9917656040136528585 C3(17,53) = 8.305825477433664472 C4(17,53) = 424 Sum = 5611.185096176277778 Averaged sum = 0.5606139570562771283 logp*logq = 11.24868402927436027 -------------- ************************************* p = 17; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104040.2889610942787 -------------- Searches starting with [17,59]-exponents: u = 10, v = 2 n_start has 16 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(17,59) = 0.7677897272146930635 D2(17,59) = 0.08799305457287770086 C1(17,59) = 0.9638848168429011039 C2(17,59) = 1.905831177094716977 C3(17,59) = 2.728633015356540653 C4(17,59) = 472 Sum = 5539.306493729834142 Averaged sum = 0.5534325600689213850 logp*logq = 11.55253349696255900 -------------- ************************************* p = 17; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114345.8249583890243 -------------- Searches starting with [17,61]-exponents: u = 13, v = 2 n_start has 20 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(17,61) = 1.073180168803020450 D2(17,61) = 0.1598082629767840137 C1(17,61) = 1.332847752895724372 C2(17,61) = 1.860228604976766291 C3(17,61) = 4.007000717180011850 C4(17,61) = 488 Sum = 5861.686873225100398 Averaged sum = 0.5856416098736237784 logp*logq = 11.64698268770776618 -------------- ************************************* p = 17; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149162.4466349262743 -------------- Searches starting with [17,67]-exponents: u = 46, v = 2 n_start has 61 digits starting right neighbors generation We generated 606 left neighbors We generated 9404 right neighbors We generated 10009 non-negative rho_i D1(17,67) = 0.9595447830855294249 D2(17,67) = 0.02036332288454038303 C1(17,67) = 1.142864264436542023 C2(17,67) = 1.451582304872710110 C3(17,67) = 3.287712440950417254 C4(17,67) = 536 Sum = 4860.792527156434939 Averaged sum = 0.4856421747583609690 logp*logq = 11.91279123691316953 -------------- ************************************* p = 17; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175796.3512807636525 -------------- Searches starting with [17,71]-exponents: u = 3, v = 109 n_start has 206 digits --- performed 5000 steps in the continued fraction search [17,71]-exponents: u = 88, v = 16 --- starting right neighbors generation We generated 6855 left neighbors We generated 3155 right neighbors We generated 10009 non-negative rho_i D1(17,71) = 0.7337206232359668546 D2(17,71) = 0.003469599419693781795 C1(17,71) = 0.8830184029927685521 C2(17,71) = 1.149704859102504279 C3(17,71) = 2.508250608605128856 C4(17,71) = 568 Sum = 6080.233869321383463 Averaged sum = 0.6074766579399923531 logp*logq = 12.07708150907336525 -------------- ************************************* p = 17; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 190191.5385135923512 -------------- Searches starting with [17,73]-exponents: u = 3, v = 33 n_start has 66 digits starting right neighbors generation We generated 661 left neighbors We generated 9349 right neighbors We generated 10009 non-negative rho_i D1(17,73) = 1.027921928808071901 D2(17,73) = 0.02211473033538815994 C1(17,73) = 1.297546874917313269 C2(17,73) = 1.432610480347503390 C3(17,73) = 3.862367237536878642 C4(17,73) = 584 Sum = 6204.145551429332415 Averaged sum = 0.6198566841272187447 logp*logq = 12.15578694079359724 -------------- ************************************* p = 17; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 237893.4020483060048 -------------- Searches starting with [17,79]-exponents: u = 3, v = 11 n_start has 25 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(17,79) = 0.7375835854220419745 D2(17,79) = 0.06547546000222048332 C1(17,79) = 0.8958942315973404049 C2(17,79) = 1.806390596474641927 C3(17,79) = 2.542110337898119847 C4(17,79) = 632 Sum = 5578.097549388980304 Averaged sum = 0.5573081775790768612 logp*logq = 12.37957796176734185 -------------- ************************************* p = 17; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 273626.1876559205375 -------------- Searches starting with [17,83]-exponents: u = 3, v = 7 n_start has 18 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(17,83) = 0.7945850307611254567 D2(17,83) = 0.07494544444838175801 C1(17,83) = 0.9557070098634492772 C2(17,83) = 1.946932439863806240 C3(17,83) = 2.705493388521421706 C4(17,83) = 664 Sum = 5272.011182716173766 Averaged sum = 0.5267270639140946913 logp*logq = 12.51951817526680157 -------------- ************************************* p = 17; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 333455.4190335815832 -------------- Searches starting with [17,89]-exponents: u = 3, v = 5 n_start has 14 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(17,89) = 0.8664538201721889543 D2(17,89) = 0.1158897031370862214 C1(17,89) = 1.048789397973580189 C2(17,89) = 1.667373799059371567 C3(17,89) = 2.980888367859421975 C4(17,89) = 712 Sum = 5638.890075981894210 Averaged sum = 0.5633819638307417534 logp*logq = 12.71726445934114984 -------------- ************************************* p = 17; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 425547.6427110914270 -------------- Searches starting with [17,97]-exponents: u = 8, v = 3 n_start has 16 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(17,97) = 0.9961481951774242366 D2(17,97) = 0.02634549486079459807 C1(17,97) = 1.196787252847169708 C2(17,97) = 2.002823294326326771 C3(17,97) = 3.477619603725141837 C4(17,97) = 776 Sum = 5545.683998218128121 Averaged sum = 0.5540697370584601979 logp*logq = 12.96113218949625368 -------------- ************************************* p = 17; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 477166.6274865513960 -------------- Searches starting with [17,101]-exponents: u = 13, v = 3 n_start has 23 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(17,101) = 0.7180356042129621748 D2(17,101) = 0.1805156550073367523 C1(17,101) = 0.8800639238862172467 C2(17,101) = 1.957908373975010186 C3(17,101) = 2.500545011897628290 C4(17,101) = 808 Sum = 5531.836325978393564 Averaged sum = 0.5526862150043354544 logp*logq = 13.07562103274227699 -------------- ************************************* p = 17; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 504425.7918739685427 -------------- Searches starting with [17,103]-exponents: u = 13, v = 3 n_start has 23 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(17,103) = 1.052652691236954838 D2(17,103) = 0.1095444822316691789 C1(17,103) = 1.431968028944495055 C2(17,103) = 1.891714154871393506 C3(17,103) = 4.442725362213370347 C4(17,103) = 824 Sum = 5173.826848307161415 Averaged sum = 0.5169174591175103822 logp*logq = 13.13117601553636930 -------------- ************************************* p = 17; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 561923.5054360730002 -------------- Searches starting with [17,107]-exponents: u = 28, v = 3 n_start has 41 digits starting right neighbors generation We generated 271 left neighbors We generated 9739 right neighbors We generated 10009 non-negative rho_i D1(17,107) = 0.7769772860092248341 D2(17,107) = 0.07607160629466926277 C1(17,107) = 0.9440141603962628638 C2(17,107) = 1.742490834379390742 C3(17,107) = 2.672748185940467856 C4(17,107) = 856 Sum = 5557.980684646087985 Averaged sum = 0.5552982999946136462 logp*logq = 13.23912100828812775 -------------- ************************************* p = 17; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 592193.9162966038634 -------------- Searches starting with [17,109]-exponents: u = 48, v = 3 n_start has 66 digits starting right neighbors generation We generated 747 left neighbors We generated 9263 right neighbors We generated 10009 non-negative rho_i D1(17,109) = 0.7118962465878531128 D2(17,109) = 0.04223369419150383615 C1(17,109) = 0.8725371123973384378 C2(17,109) = 1.626905008491300165 C3(17,109) = 2.481021088427447979 C4(17,109) = 872 Sum = 5534.774848499394797 Averaged sum = 0.5529798030272149862 logp*logq = 13.29158942154147959 -------------- ************************************* p = 17; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 655857.1273320637178 -------------- Searches starting with [17,113]-exponents: u = 5, v = 175 n_start has 366 digits --- performed 5000 steps in the continued fraction search [17,113]-exponents: u = 25, v = 145 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(17,113) = 0.7760212936647039086 D2(17,113) = 0.2324869667516391875 C1(17,113) = 0.9183840736860172243 C2(17,113) = 1.276640671593714434 C3(17,113) = 2.602352278483127261 C4(17,113) = 904 Sum = 6173.694331993177882 Averaged sum = 0.6174311763169494831 logp*logq = 13.39369825050461141 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(17,113) = 0.7760212936647039086 D2(17,113) = 0.2324869667516391875 C1(17,113) = 0.9183840736860172243 C2(17,113) = 1.276640671593714434 C3(17,113) = 2.602352278483127261 C4(17,113) = 904 Sum = 6173.694331993177882 Averaged sum = 0.6174311763169494831 logp*logq = 13.39369825050461141 -------------- ************************************* p = 17; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 913113.5248048290533 -------------- Searches starting with [17,127]-exponents: u = 5, v = 7 n_start has 21 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(17,127) = 0.9283288836156915585 D2(17,127) = 0.1485110847980094008 C1(17,127) = 1.171830474740194007 C2(17,127) = 2.020379436849423706 C3(17,127) = 3.388399755701389268 C4(17,127) = 1016 Sum = 4481.883612212660156 Averaged sum = 0.4477853544023039421 logp*logq = 13.72461549445928371 -------------- ************************************* p = 17; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 996968.1583789830864 -------------- Searches starting with [17,131]-exponents: u = 12, v = 4 n_start has 24 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(17,131) = 0.9147987901522906788 D2(17,131) = 0.1409528148796952613 C1(17,131) = 1.096183483079241558 C2(17,131) = 1.959593517699031151 C3(17,131) = 3.131706653135411743 C4(17,131) = 1048 Sum = 5232.425811184326315 Averaged sum = 0.5227720862408158971 logp*logq = 13.81247411100064784 -------------- ************************************* p = 17; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1131840.482796694674 -------------- Searches starting with [17,137]-exponents: u = 26, v = 4 n_start has 41 digits starting right neighbors generation We generated 234 left neighbors We generated 9776 right neighbors We generated 10009 non-negative rho_i D1(17,137) = 0.9039939704266466577 D2(17,137) = 0.04711970008568081441 C1(17,137) = 1.173256074266444946 C2(17,137) = 1.621438674524018651 C3(17,137) = 3.393434031311433801 C4(17,137) = 1096 Sum = 4851.015145760095735 Averaged sum = 0.4846653157917969562 logp*logq = 13.93935561155829980 -------------- ************************************* p = 17; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1179283.245998937660 -------------- Searches starting with [17,139]-exponents: u = 47, v = 4 n_start has 67 digits starting right neighbors generation We generated 486 left neighbors We generated 9524 right neighbors We generated 10009 non-negative rho_i D1(17,139) = 0.7322358148040909919 D2(17,139) = 0.02309473491737284957 C1(17,139) = 0.9234097665656188270 C2(17,139) = 1.433104398723227966 C3(17,139) = 2.616008212673018541 C4(17,139) = 1112 Sum = 5367.362218281744464 Averaged sum = 0.5362535935939399004 logp*logq = 13.98041739324343637 -------------- ************************************* p = 17; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1435821.111901352438 -------------- Searches starting with [17,149]-exponents: u = 7, v = 13 n_start has 37 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(17,149) = 0.7263665625578684397 D2(17,149) = 0.01435691909888237870 C1(17,149) = 0.8803467996872059176 C2(17,149) = 1.646608727957627020 C3(17,149) = 2.501281756264299256 C4(17,149) = 1192 Sum = 5440.629438367497033 Averaged sum = 0.5435737274820158889 logp*logq = 14.17724744694548362 -------------- ************************************* p = 17; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1491099.290160879350 -------------- Searches starting with [17,151]-exponents: u = 7, v = 9 n_start has 29 digits starting right neighbors generation We generated 130 left neighbors We generated 9880 right neighbors We generated 10009 non-negative rho_i D1(17,151) = 0.9234731759579335604 D2(17,151) = 0.02227647190326345887 C1(17,151) = 1.139946527733628378 C2(17,151) = 1.778320815488971121 C3(17,151) = 3.277737676376150711 C4(17,151) = 1208 Sum = 5765.903401153251814 Averaged sum = 0.5760718754274404849 logp*logq = 14.21502418452823787 -------------- ************************************* p = 17; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1665145.535925650994 -------------- Searches starting with [17,157]-exponents: u = 7, v = 5 n_start has 20 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(17,157) = 0.9894444473906660925 D2(17,157) = 0.04795293423142159594 C1(17,157) = 1.206210893216159316 C2(17,157) = 2.020793605226361298 C3(17,157) = 3.511916590046905279 C4(17,157) = 1256 Sum = 5381.939878211344452 Averaged sum = 0.5377100487772349337 logp*logq = 14.32542308654109528 -------------- ************************************* p = 17; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1851822.857313390908 -------------- Searches starting with [17,163]-exponents: u = 7, v = 5 n_start has 20 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(17,163) = 1.220260584010763527 D2(17,163) = 0.05330472460732017853 C1(17,163) = 1.467983547657161673 C2(17,163) = 1.218814670321518419 C3(17,163) = 4.612522948828018750 C4(17,163) = 1304 Sum = 6097.565151625852347 Averaged sum = 0.6092082277576033916 logp*logq = 14.43168104021474928 -------------- ************************************* p = 17; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1983489.775480106670 -------------- Searches starting with [17,167]-exponents: u = 9, v = 1 n_start has 14 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(17,167) = 1.213067350642534757 D2(17,167) = 0.03536686271494281970 C1(17,167) = 1.526904910088162861 C2(17,167) = 2.341606599362684220 C3(17,167) = 4.904417701114631932 C4(17,167) = 1336 Sum = 4564.325337845742921 Averaged sum = 0.4560221138820804197 logp*logq = 14.50036836413629701 -------------- ************************************* p = 17; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2192108.691466679815 -------------- Searches starting with [17,173]-exponents: u = 9, v = 1 n_start has 14 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(17,173) = 0.9433459943023610139 D2(17,173) = 0.1030114674498517508 C1(17,173) = 1.271282972846547880 C2(17,173) = 1.967039083337948796 C3(17,173) = 3.758157231173555757 C4(17,173) = 1384 Sum = 5131.406616865614990 Averaged sum = 0.5126792503612363863 logp*logq = 14.60037451134384214 -------------- ************************************* p = 17; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2414422.499608980698 -------------- Searches starting with [17,179]-exponents: u = 9, v = 1 n_start has 14 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(17,179) = 0.9228702646450505761 D2(17,179) = 0.1016730448562855424 C1(17,179) = 1.323895310809670513 C2(17,179) = 1.336097284180958545 C3(17,179) = 3.969816350354214825 C4(17,179) = 1432 Sum = 5483.514753571110844 Averaged sum = 0.5478584027945959480 logp*logq = 14.69697068587583469 -------------- ************************************* p = 17; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2491638.684026865105 -------------- Searches starting with [17,181]-exponents: u = 11, v = 1 n_start has 16 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(17,181) = 1.061532478894281347 D2(17,181) = 0.08093847497159124398 C1(17,181) = 1.522558517013587729 C2(17,181) = 1.221729062393213144 C3(17,181) = 4.882268589598677336 C4(17,181) = 1448 Sum = 5177.015539155779837 Averaged sum = 0.5172360414782475609 logp*logq = 14.72845115801896184 -------------- ************************************* p = 17; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2901711.121867413333 -------------- Searches starting with [17,191]-exponents: u = 11, v = 1 n_start has 16 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(17,191) = 0.7454760549737930536 D2(17,191) = 0.1592655652314065011 C1(17,191) = 1.048362907066468471 C2(17,191) = 1.492986728459618580 C3(17,191) = 2.979564692680470316 C4(17,191) = 1528 Sum = 4690.103259742217112 Averaged sum = 0.4685885962376078641 logp*logq = 14.88081116297359783 -------------- ************************************* p = 17; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2988625.285305559619 -------------- Searches starting with [17,193]-exponents: u = 13, v = 1 n_start has 19 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(17,193) = 1.372598035503989381 D2(17,193) = 0.09109998540951041225 C1(17,193) = 1.929895359483811273 C2(17,193) = 1.048894441400631552 C3(17,193) = 7.461938768398831786 C4(17,193) = 1544 Sum = 3774.409473575749002 Averaged sum = 0.3771015559572134081 logp*logq = 14.91032406883905031 -------------- ************************************* p = 17; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3167468.681342092791 -------------- Searches starting with [17,197]-exponents: u = 13, v = 1 n_start has 19 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(17,197) = 0.8193130427002052552 D2(17,197) = 0.09891528616799178348 C1(17,197) = 1.020832686540345518 C2(17,197) = 2.186828204386354141 C3(17,197) = 2.895352671866033921 C4(17,197) = 1576 Sum = 5222.845899208322230 Averaged sum = 0.5218149564600182066 logp*logq = 14.96844330362802632 -------------- ************************************* p = 17; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3259426.649753935537 -------------- Searches starting with [17,199]-exponents: u = 13, v = 1 n_start has 19 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(17,199) = 0.8240196430847151282 D2(17,199) = 0.05902508569828801520 C1(17,199) = 1.025338098187339076 C2(17,199) = 2.149802491885821305 C3(17,199) = 2.908969550870598053 C4(17,199) = 1592 Sum = 4971.403829262009794 Averaged sum = 0.4966933589031881100 logp*logq = 14.99706186356658183 -------------- ************************************* p = 17; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3847583.624647660142 -------------- Searches starting with [17,211]-exponents: u = 17, v = 1 n_start has 24 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(17,211) = 1.591510992746111199 D2(17,211) = 0.03475514496617984225 C1(17,211) = 2.176506786701635607 C2(17,211) = 2.053872808818136280 C3(17,211) = 9.646925382993176097 C4(17,211) = 1688 Sum = 2234.152800645341101 Averaged sum = 0.2232143871161295935 logp*logq = 15.16295587926018519 -------------- ************************************* p = 17; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4500374.693538175025 -------------- Searches starting with [17,223]-exponents: u = 19, v = 1 n_start has 26 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(17,223) = 1.025865734853168879 D2(17,223) = 0.1101174029474180705 C1(17,223) = 1.214062839634281795 C2(17,223) = 2.014244048517297133 C3(17,223) = 3.540751642496126448 C4(17,223) = 1784 Sum = 5114.025495320186517 Averaged sum = 0.5109427011010277267 logp*logq = 15.31967121650489683 -------------- ************************************* p = 17; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4732862.609999155879 -------------- Searches starting with [17,227]-exponents: u = 21, v = 1 n_start has 29 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(17,227) = 0.7386678544136739318 D2(17,227) = 0.01719057517392878031 C1(17,227) = 0.9096235990373800817 C2(17,227) = 1.925838895704795715 C3(17,227) = 2.578718317262926498 C4(17,227) = 1816 Sum = 5347.860086429954875 Averaged sum = 0.5343051340223753496 logp*logq = 15.37004078036631276 -------------- ************************************* p = 17; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4851961.860109543320 -------------- Searches starting with [17,229]-exponents: u = 23, v = 1 n_start has 31 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(17,229) = 0.7612517304392160923 D2(17,229) = 0.1033289618178251549 C1(17,229) = 1.014091082304905532 C2(17,229) = 1.964338606394827278 C3(17,229) = 2.875096216458725834 C4(17,229) = 1832 Sum = 5320.219179383536888 Averaged sum = 0.5315435287624674681 logp*logq = 15.39489368836174975 -------------- ************************************* p = 17; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5095940.934500827958 -------------- Searches starting with [17,233]-exponents: u = 25, v = 1 n_start has 34 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(17,233) = 0.7956252413095335725 D2(17,233) = 0.006892478855968588854 C1(17,233) = 1.053036008540789121 C2(17,233) = 1.872191405875332385 C3(17,233) = 2.994100448288503239 C4(17,233) = 1864 Sum = 4973.198906524246371 Averaged sum = 0.4968727052177286813 logp*logq = 15.44395488560590324 -------------- ************************************* p = 17; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5476570.345129982384 -------------- Searches starting with [17,239]-exponents: u = 27, v = 1 n_start has 36 digits starting right neighbors generation We generated 95 left neighbors We generated 9915 right neighbors We generated 10009 non-negative rho_i D1(17,239) = 0.9328635821498123526 D2(17,239) = 0.07148881644622153697 C1(17,239) = 1.221389433976438534 C2(17,239) = 1.862214526384318086 C3(17,239) = 3.567870905185840096 C4(17,239) = 1912 Sum = 4840.967672622258626 Averaged sum = 0.4836614719374821287 logp*logq = 15.51598961356985831 -------------- ************************************* p = 17; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5607412.052815781640 -------------- Searches starting with [17,241]-exponents: u = 29, v = 1 n_start has 39 digits starting right neighbors generation We generated 127 left neighbors We generated 9883 right neighbors We generated 10009 non-negative rho_i D1(17,241) = 1.131350825807190051 D2(17,241) = 0.01910328816856586166 C1(17,241) = 1.366179738186155602 C2(17,241) = 1.811803983290277443 C3(17,241) = 4.148535267123602706 C4(17,241) = 1928 Sum = 5547.291871771492932 Averaged sum = 0.5542303798352975254 logp*logq = 15.53959986140433802 -------------- ************************************* p = 17; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6291983.992810594845 -------------- Searches starting with [17,251]-exponents: u = 39, v = 1 n_start has 51 digits starting right neighbors generation We generated 205 left neighbors We generated 9805 right neighbors We generated 10009 non-negative rho_i D1(17,251) = 0.9098215512496321981 D2(17,251) = 0.05460997227894230414 C1(17,251) = 1.168449285809747064 C2(17,251) = 1.741906561311119939 C3(17,251) = 3.376489473184653494 C4(17,251) = 2008 Sum = 3859.811474361390300 Averaged sum = 0.3856340767670486862 logp*logq = 15.65478699910280919 -------------- ************************************* p = 17; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6727515.132352052560 -------------- Searches starting with [17,257]-exponents: u = 47, v = 1 n_start has 61 digits starting right neighbors generation We generated 288 left neighbors We generated 9722 right neighbors We generated 10009 non-negative rho_i D1(17,257) = 0.8336876949466808488 D2(17,257) = 0.04018275578368681571 C1(17,257) = 1.059188653194301073 C2(17,257) = 1.670557066898213740 C3(17,257) = 3.013346545657525894 C4(17,257) = 2056 Sum = 4396.679220290854868 Averaged sum = 0.4392725767100464450 logp*logq = 15.72171641090836088 -------------- ************************************* p = 17; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7182091.250292257049 -------------- Searches starting with [17,263]-exponents: u = 59, v = 1 n_start has 76 digits starting right neighbors generation We generated 462 left neighbors We generated 9548 right neighbors We generated 10009 non-negative rho_i D1(17,263) = 1.033237266808765502 D2(17,263) = 0.01175110636482296552 C1(17,263) = 1.297128208899234526 C2(17,263) = 1.582903555334896831 C3(17,263) = 3.860683598517015265 C4(17,263) = 2104 Sum = 3883.674318214322029 Averaged sum = 0.3880182154275474102 logp*logq = 15.78710115910269257 -------------- ************************************* p = 17; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7656082.108867259152 -------------- Searches starting with [17,269]-exponents: u = 77, v = 1 n_start has 98 digits starting right neighbors generation We generated 739 left neighbors We generated 9271 right neighbors We generated 10009 non-negative rho_i D1(17,269) = 1.148135434544103546 D2(17,269) = 0.004462338776296424514 C1(17,269) = 1.384910794439518078 C2(17,269) = 1.498721955332407842 C3(17,269) = 4.230254099739096715 C4(17,269) = 2152 Sum = 5671.406841722228670 Averaged sum = 0.5666307165273482535 logp*logq = 15.85101093683109271 -------------- ************************************* p = 17; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7818457.155043422700 -------------- Searches starting with [17,271]-exponents: u = 87, v = 1 n_start has 110 digits starting right neighbors generation We generated 913 left neighbors We generated 9097 right neighbors We generated 10009 non-negative rho_i D1(17,271) = 1.018008201524771662 D2(17,271) = 0.01806926435486320171 C1(17,271) = 1.255398995337729470 C2(17,271) = 1.478186788841405667 C3(17,271) = 3.696502054960236831 C4(17,271) = 2168 Sum = 4515.521221413070067 Averaged sum = 0.4511460906597132648 logp*logq = 15.87199779830484357 -------------- ************************************* p = 17; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8318907.097834224399 -------------- Searches starting with [17,277]-exponents: u = 131, v = 1 n_start has 164 digits starting right neighbors generation We generated 1954 left neighbors We generated 8056 right neighbors We generated 10009 non-negative rho_i D1(17,277) = 0.8090869347879259618 D2(17,277) = 0.008142109585768142169 C1(17,277) = 0.9813846964879135973 C2(17,277) = 1.367643793247751601 C3(17,277) = 2.778817098908017624 C4(17,277) = 2216 Sum = 5727.494168529228063 Averaged sum = 0.5722344058876239447 logp*logq = 15.93404144573573022 -------------- ************************************* p = 17; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8663780.110601048457 -------------- Searches starting with [17,281]-exponents: u = 199, v = 1 n_start has 248 digits starting right neighbors generation We generated 4372 left neighbors We generated 5638 right neighbors We generated 10009 non-negative rho_i D1(17,281) = 0.9746305012744023835 D2(17,281) = 0.007145026148651683782 C1(17,281) = 1.166019106404472003 C2(17,281) = 1.276861030244560102 C3(17,281) = 3.367955000914461243 C4(17,281) = 2248 Sum = 5859.474327611408313 Averaged sum = 0.5854205542623047570 logp*logq = 15.97466168767804229 -------------- ************************************* p = 17; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8839629.160494501299 -------------- Searches starting with [17,283]-exponents: u = 269, v = 1 n_start has 334 digits --- performed 5000 steps in the continued fraction search [17,283]-exponents: u = 193, v = 19 --- starting right neighbors generation We generated 8022 left neighbors We generated 1988 right neighbors We generated 10009 non-negative rho_i D1(17,283) = 1.049924275165813030 D2(17,283) = 0.006617475140351870898 C1(17,283) = 1.245359422059181514 C2(17,283) = 1.219451438839060955 C3(17,283) = 3.658055253229249282 C4(17,283) = 2264 Sum = 5874.829274173287977 Averaged sum = 0.5869546682159344567 logp*logq = 15.99475548356358789 -------------- ************************************* p = 17; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9753539.789412648659 -------------- Searches starting with [17,293]-exponents: u = 2, v = 206 n_start has 511 digits --- performed 5000 steps in the continued fraction search [17,293]-exponents: u = 376, v = 7 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(17,293) = 0.9152879599881496859 D2(17,293) = 0.1277076933281329513 C1(17,293) = 1.073534815368371222 C2(17,293) = 1.246092853584262048 C3(17,293) = 3.058704710026146320 C4(17,293) = 2344 Sum = 6092.059947770739628 Averaged sum = 0.6092669214692208849 logp*logq = 16.09314083240976685 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(17,293) = 0.9152879599881496859 D2(17,293) = 0.1277076933281329513 C1(17,293) = 1.073534815368371222 C2(17,293) = 1.246092853584262048 C3(17,293) = 3.058704710026146320 C4(17,293) = 2344 Sum = 6092.059947770739628 Averaged sum = 0.6092669214692208849 logp*logq = 16.09314083240976685 -------------- ************************************* p = 17; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11132523.84210376495 -------------- Searches starting with [17,307]-exponents: u = 2, v = 46 n_start has 117 digits starting right neighbors generation We generated 971 left neighbors We generated 9039 right neighbors We generated 10009 non-negative rho_i D1(17,307) = 0.8973567759741795772 D2(17,307) = 0.01337624005554154437 C1(17,307) = 1.102570423725161872 C2(17,307) = 1.474589783238147028 C3(17,307) = 3.152606421641174909 C4(17,307) = 2456 Sum = 5917.233791123896086 Averaged sum = 0.5911913069361470762 logp*logq = 16.22538145784233171 -------------- ************************************* p = 17; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11548404.77766478338 -------------- Searches starting with [17,311]-exponents: u = 2, v = 38 n_start has 98 digits starting right neighbors generation We generated 669 left neighbors We generated 9341 right neighbors We generated 10009 non-negative rho_i D1(17,311) = 0.6653216162411629023 D2(17,311) = 0.02435547641145685812 C1(17,311) = 0.8025292803786373439 C2(17,311) = 1.538261557154362203 C3(17,311) = 2.306573849637751901 C4(17,311) = 2488 Sum = 5406.877911855276918 Averaged sum = 0.5402016097367646037 logp*logq = 16.26205787090549493 -------------- ************************************* p = 17; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11760059.46649559685 -------------- Searches starting with [17,313]-exponents: u = 2, v = 35 n_start has 90 digits starting right neighbors generation We generated 612 left neighbors We generated 9398 right neighbors We generated 10009 non-negative rho_i D1(17,313) = 1.010754665023125863 D2(17,313) = 0.005529851628683579642 C1(17,313) = 1.222555930959788190 C2(17,313) = 1.551344502395380664 C3(17,313) = 3.572207800603932876 C4(17,313) = 2504 Sum = 5629.839045685303870 Averaged sum = 0.5624776746613351854 logp*logq = 16.28021955709676568 -------------- ************************************* p = 17; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12190863.70917131653 -------------- Searches starting with [17,317]-exponents: u = 2, v = 30 n_start has 78 digits starting right neighbors generation We generated 423 left neighbors We generated 9587 right neighbors We generated 10009 non-negative rho_i D1(17,317) = 0.7677664614923850787 D2(17,317) = 0.03344302071848122928 C1(17,317) = 0.9206137640235434884 C2(17,317) = 1.617237196155813734 C3(17,317) = 2.608402027206224790 C4(17,317) = 2536 Sum = 5353.413273591919072 Averaged sum = 0.5348599534011308894 logp*logq = 16.31619735285812494 -------------- ************************************* p = 17; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13778765.11050762091 -------------- Searches starting with [17,331]-exponents: u = 2, v = 20 n_start has 53 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(17,331) = 0.8553016559836725276 D2(17,331) = 0.01381172575804114953 C1(17,331) = 1.092119951820639180 C2(17,331) = 1.741892570586834938 C3(17,331) = 3.118481873080534518 C4(17,331) = 2648 Sum = 4958.949666115477106 Averaged sum = 0.4954490624553379065 logp*logq = 16.43863920491206799 -------------- ************************************* p = 17; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14498222.61770400840 -------------- Searches starting with [17,337]-exponents: u = 2, v = 18 n_start has 48 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(17,337) = 0.7374286738659576604 D2(17,337) = 0.005043920529945153934 C1(17,337) = 0.9147581604264523855 C2(17,337) = 1.786401726675350853 C3(17,337) = 2.592544149428141863 C4(17,337) = 2696 Sum = 4860.894076233451498 Averaged sum = 0.4856523205348637723 logp*logq = 16.48953662178811611 -------------- ************************************* p = 17; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15750537.03735002325 -------------- Searches starting with [17,347]-exponents: u = 2, v = 15 n_start has 41 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10009 non-negative rho_i D1(17,347) = 1.091883636867488637 D2(17,347) = 0.02623967639420652236 C1(17,347) = 1.365298440879776516 C2(17,347) = 1.874090917424803484 C3(17,347) = 4.144729516496343195 C4(17,347) = 2776 Sum = 5425.919250633934838 Averaged sum = 0.5421040314351018921 logp*logq = 16.57238502026413119 -------------- ************************************* p = 17; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16009100.51014153807 -------------- Searches starting with [17,349]-exponents: u = 2, v = 15 n_start has 41 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10009 non-negative rho_i D1(17,349) = 1.260976386910864153 D2(17,349) = 0.06170841754722266021 C1(17,349) = 1.643392119642525036 C2(17,349) = 1.910492340472605523 C3(17,349) = 5.536970406358634166 C4(17,349) = 2792 Sum = 2784.894855481269843 Averaged sum = 0.2782390703847806817 logp*logq = 16.58866790039279570 -------------- ************************************* p = 17; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16534432.47868535736 -------------- Searches starting with [17,353]-exponents: u = 2, v = 14 n_start has 39 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(17,353) = 0.8792726088506821573 D2(17,353) = 0.02960971133299943634 C1(17,353) = 1.056371044733014202 C2(17,353) = 1.916947106482527326 C3(17,353) = 3.004517473115622395 C4(17,353) = 2824 Sum = 5038.407576277611635 Averaged sum = 0.5033877086899402173 logp*logq = 16.62095558138295796 -------------- ************************************* p = 17; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17343138.28872454270 -------------- Searches starting with [17,359]-exponents: u = 2, v = 13 n_start has 36 digits starting right neighbors generation We generated 114 left neighbors We generated 9896 right neighbors We generated 10009 non-negative rho_i D1(17,359) = 1.188878327749140735 D2(17,359) = 0.01422730672903742231 C1(17,359) = 1.392748334018880678 C2(17,359) = 1.946121187963516300 C3(17,359) = 4.264923167631884844 C4(17,359) = 2872 Sum = 4158.433092921486583 Averaged sum = 0.4154693868439890681 logp*logq = 16.66870749844968101 -------------- ************************************* p = 17; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18460612.92555078273 -------------- Searches starting with [17,367]-exponents: u = 2, v = 11 n_start has 31 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(17,367) = 1.136567605316446064 D2(17,367) = 0.005169861945766290780 C1(17,367) = 1.366252844595143189 C2(17,367) = 1.988961722947282734 C3(17,367) = 4.148851123137301738 C4(17,367) = 2936 Sum = 5325.686516477041191 Averaged sum = 0.5320897708539355771 logp*logq = 16.73114998938868523 -------------- ************************************* p = 17; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19328572.43992880158 -------------- Searches starting with [17,373]-exponents: u = 2, v = 11 n_start has 31 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(17,373) = 0.8657105959597702869 D2(17,373) = 0.08482344768084957945 C1(17,373) = 1.153281898829525415 C2(17,373) = 2.071359199858819021 C3(17,373) = 3.323575165975838241 C4(17,373) = 2984 Sum = 4993.740790887494975 Averaged sum = 0.4989250465468573259 logp*logq = 16.77709499641017785 -------------- ************************************* p = 17; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20222508.15335350583 -------------- Searches starting with [17,379]-exponents: u = 2, v = 10 n_start has 29 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(17,379) = 0.7466759394282470578 D2(17,379) = 0.01492206030373933501 C1(17,379) = 0.9521616586487888103 C2(17,379) = 2.060763089849831500 C3(17,379) = 2.695522666166465412 C4(17,379) = 3032 Sum = 4918.281692220950027 Averaged sum = 0.4913859218923918500 logp*logq = 16.82230680705643596 -------------- ************************************* p = 17; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20833068.25629799498 -------------- Searches starting with [17,383]-exponents: u = 2, v = 10 n_start has 29 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(17,383) = 0.9933134460715569494 D2(17,383) = 0.06120937720379175983 C1(17,383) = 1.333119094250978228 C2(17,383) = 2.108858359147800090 C3(17,383) = 4.008133167482053610 C4(17,383) = 3064 Sum = 4618.045629431760171 Averaged sum = 0.4613893125618703338 logp*logq = 16.85205210225987706 -------------- ************************************* p = 17; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21771069.83602438385 -------------- Searches starting with [17,389]-exponents: u = 2, v = 9 n_start has 26 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(17,389) = 0.8193828444664830657 D2(17,389) = 0.1398579518773340853 C1(17,389) = 1.050715055528387002 C2(17,389) = 2.190183603168833022 C3(17,389) = 2.986872245300096837 C4(17,389) = 3112 Sum = 4709.888143338785308 Averaged sum = 0.4705653055588755428 logp*logq = 16.89609257467779234 -------------- ************************************* p = 17; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23063644.86613814088 -------------- Searches starting with [17,397]-exponents: u = 2, v = 8 n_start has 24 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(17,397) = 1.119089012104863997 D2(17,397) = 0.04536987870187323220 C1(17,397) = 1.330937347795566866 C2(17,397) = 2.167066864796360423 C3(17,397) = 3.999036642536202458 C4(17,397) = 3176 Sum = 5168.498993997940638 Averaged sum = 0.5163851527623079865 logp*logq = 16.95376812042507081 -------------- ************************************* p = 17; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23728122.34765797803 -------------- Searches starting with [17,401]-exponents: u = 2, v = 8 n_start has 24 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(17,401) = 0.8142040885969223401 D2(17,401) = 0.08756931897428842146 C1(17,401) = 1.025796557251208285 C2(17,401) = 2.211028106569540006 C3(17,401) = 2.910358754144157668 C4(17,401) = 3208 Sum = 4805.165233245768478 Averaged sum = 0.4800844473219870594 logp*logq = 16.98217149960321481 -------------- ************************************* p = 17; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25093967.27121685052 -------------- Searches starting with [17,409]-exponents: u = 2, v = 8 n_start has 24 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(17,409) = 0.7421126097745324513 D2(17,409) = 0.1512564481852098244 C1(17,409) = 1.015002714056808259 C2(17,409) = 1.544012696195943539 C3(17,409) = 2.877827082381656406 C4(17,409) = 3272 Sum = 4626.828740584424300 Averaged sum = 0.4622668339079252972 logp*logq = 17.03813802745357564 -------------- ************************************* p = 17; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26871490.77338765106 -------------- Searches starting with [17,419]-exponents: u = 2, v = 7 n_start has 21 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(17,419) = 0.8249668980156713977 D2(17,419) = 0.05069920235015960089 C1(17,419) = 1.001469743569931526 C2(17,419) = 2.265451857795532952 C3(17,419) = 2.837553203224963931 C4(17,419) = 3352 Sum = 5194.961270161190314 Averaged sum = 0.5190290009152952656 logp*logq = 17.10657646001238150 -------------- ************************************* p = 17; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27236484.58820759678 -------------- Searches starting with [17,421]-exponents: u = 2, v = 7 n_start has 21 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(17,421) = 0.8312011557750816296 D2(17,421) = 0.06817408405058799608 C1(17,421) = 1.080985554899274496 C2(17,421) = 2.283783973551119298 C3(17,421) = 3.082530390304009357 C4(17,421) = 3368 Sum = 4834.730949371066339 Averaged sum = 0.4830383604127351722 logp*logq = 17.12006797762114882 -------------- ************************************* p = 17; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29109594.54848235091 -------------- Searches starting with [17,431]-exponents: u = 2, v = 7 n_start has 21 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(17,431) = 0.8862018300793978265 D2(17,431) = 0.1140986823313718956 C1(17,431) = 1.227105861911309464 C2(17,431) = 1.422003218086245567 C3(17,431) = 3.589174338285711805 C4(17,431) = 3448 Sum = 4892.944462036909360 Averaged sum = 0.4888544771742341252 logp*logq = 17.18657838736930540 -------------- ************************************* p = 17; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29493933.00295522295 -------------- Searches starting with [17,433]-exponents: u = 2, v = 7 n_start has 21 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(17,433) = 1.545764567736140373 D2(17,433) = 0.08513056129050023082 C1(17,433) = 2.140221607051507419 C2(17,433) = 1.081134007770297115 C3(17,433) = 9.289190823565301770 C4(17,433) = 3464 Sum = 1880.074893520954419 Averaged sum = 0.1878384347608107123 logp*logq = 17.19969513924216978 -------------- ************************************* p = 17; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30666607.86895832320 -------------- Searches starting with [17,439]-exponents: u = 2, v = 6 n_start has 19 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(17,439) = 0.9547085108423190038 D2(17,439) = 0.1543131441083035293 C1(17,439) = 1.158647834746221814 C2(17,439) = 2.075356037531383372 C3(17,439) = 3.342199784337585751 C4(17,439) = 3512 Sum = 5395.163425208757445 Averaged sum = 0.5390312144278906429 logp*logq = 17.23868492902679025 -------------- ************************************* p = 17; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31464899.64211070117 -------------- Searches starting with [17,443]-exponents: u = 2, v = 6 n_start has 19 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(17,443) = 0.6758313749873357268 D2(17,443) = 0.1480979212163261411 C1(17,443) = 0.8150292324118550810 C2(17,443) = 2.070982457440354686 C3(17,443) = 2.336796175995035193 C4(17,443) = 3544 Sum = 5128.600199633872527 Averaged sum = 0.5123988609884976048 logp*logq = 17.26438318542944638 -------------- ************************************* p = 17; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32687350.88711275590 -------------- Searches starting with [17,449]-exponents: u = 2, v = 6 n_start has 19 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(17,449) = 0.9206948932188798941 D2(17,449) = 0.03707806496801592864 C1(17,449) = 1.130287717142502731 C2(17,449) = 2.370995179699727840 C3(17,449) = 3.244932844730421796 C4(17,449) = 3592 Sum = 5035.182786324438753 Averaged sum = 0.5030655196647456043 logp*logq = 17.30249873800808179 -------------- ************************************* p = 17; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34364503.38339554870 -------------- Searches starting with [17,457]-exponents: u = 2, v = 6 n_start has 19 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(17,457) = 0.9196445751951999741 D2(17,457) = 0.09385275967217584601 C1(17,457) = 1.111557848366046798 C2(17,457) = 2.431043835615031336 C3(17,457) = 3.182252100202484513 C4(17,457) = 3656 Sum = 5295.239213665930851 Averaged sum = 0.5290477783660636278 logp*logq = 17.35253471120093454 -------------- ************************************* p = 17; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35223540.44986439668 -------------- Searches starting with [17,461]-exponents: u = 2, v = 6 n_start has 19 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(17,461) = 0.9556723592537944474 D2(17,461) = 0.08226099951760798172 C1(17,461) = 1.343820022533094159 C2(17,461) = 1.384158199967213427 C3(17,461) = 4.053049896964007315 C4(17,461) = 3688 Sum = 5335.578783347775608 Averaged sum = 0.5330781080375437714 logp*logq = 17.37722517982638593 -------------- ************************************* p = 17; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35658217.80811291971 -------------- Searches starting with [17,463]-exponents: u = 2, v = 6 n_start has 19 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(17,463) = 1.446555095945007894 D2(17,463) = 0.06278630561290535471 C1(17,463) = 2.033913845168366862 C2(17,463) = 1.079646282379066741 C3(17,463) = 8.315666940570894529 C4(17,463) = 3704 Sum = 2706.345526507322792 Averaged sum = 0.2703912005702190821 logp*logq = 17.38949019181196706 -------------- ************************************* p = 17; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36537952.38780184522 -------------- Searches starting with [17,467]-exponents: u = 2, v = 5 n_start has 16 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(17,467) = 0.8461550929759934763 D2(17,467) = 0.1023438419137786729 C1(17,467) = 1.189707944422609137 C2(17,467) = 1.480797251444643557 C3(17,467) = 3.452075224099443084 C4(17,467) = 3736 Sum = 4755.544170909652202 Averaged sum = 0.4751268029682937558 logp*logq = 17.41386206979065674 -------------- ************************************* p = 17; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39261089.13822055968 -------------- Searches starting with [17,479]-exponents: u = 2, v = 5 n_start has 16 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(17,479) = 0.7737194033006308358 D2(17,479) = 0.1029918990667853955 C1(17,479) = 0.9697315400595923508 C2(17,479) = 2.129209109100358945 C3(17,479) = 2.745297922215954771 C4(17,479) = 3832 Sum = 4747.865427058333528 Averaged sum = 0.4743596190486895322 logp*logq = 17.48574448810432571 -------------- ************************************* p = 17; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41147448.98377989400 -------------- Searches starting with [17,487]-exponents: u = 2, v = 5 n_start has 16 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(17,487) = 1.084935986756867060 D2(17,487) = 0.08405627652516196701 C1(17,487) = 1.340629243129466912 C2(17,487) = 1.921778889061643808 C3(17,487) = 4.039604310557877665 C4(17,487) = 3896 Sum = 5125.837823555429225 Averaged sum = 0.5121228717709490683 logp*logq = 17.53267249006193176 -------------- ************************************* p = 17; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42112206.13449501025 -------------- Searches starting with [17,491]-exponents: u = 2, v = 5 n_start has 16 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(17,491) = 0.8560303510315264680 D2(17,491) = 0.07960414638249343613 C1(17,491) = 1.106787470056225888 C2(17,491) = 1.918996235826877651 C3(17,491) = 3.166482108750913672 C4(17,491) = 3928 Sum = 4615.657631402127847 Averaged sum = 0.4611507274854758564 logp*logq = 17.55584818856621679 -------------- ************************************* p = 17; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44085367.90606631270 -------------- Searches starting with [17,499]-exponents: u = 2, v = 5 n_start has 16 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(17,499) = 1.043449850257232026 D2(17,499) = 0.02752020873291387185 C1(17,499) = 1.252262168327638204 C2(17,499) = 2.524491994449430844 C3(17,499) = 3.684446291106825448 C4(17,499) = 3992 Sum = 5184.834380649396028 Averaged sum = 0.5180172225646314344 logp*logq = 17.60163849184819275 -------------- ************************************* p = 17; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45093969.33171241615 -------------- Searches starting with [17,503]-exponents: u = 2, v = 5 n_start has 16 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(17,503) = 0.8667157783340081468 D2(17,503) = 0.04802276373826626540 C1(17,503) = 1.062293088751041806 C2(17,503) = 2.546531333185303447 C3(17,503) = 3.023104444992972086 C4(17,503) = 4024 Sum = 5583.081871783198729 Averaged sum = 0.5578061616328503076 logp*logq = 17.62425907783150813 -------------- ************************************* p = 17; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46634673.39220007423 -------------- Searches starting with [17,509]-exponents: u = 2, v = 5 n_start has 16 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(17,509) = 1.678479857215391358 D2(17,509) = 0.03222361178292134136 C1(17,509) = 2.407477891724987759 C2(17,509) = 1.014041591776786661 C3(17,509) = 12.27022041240777098 C4(17,509) = 4072 Sum = 1617.922824075274205 Averaged sum = 0.1616468002872688785 logp*logq = 17.65785488662763768 -------------- ************************************* p = 17; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49817380.91076065454 -------------- Searches starting with [17,521]-exponents: u = 11, v = 4 n_start has 25 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(17,521) = 0.9426373127692449764 D2(17,521) = 0.05702868482354897104 C1(17,521) = 1.117299829670583820 C2(17,521) = 2.220743431835775179 C3(17,521) = 3.201338229958721867 C4(17,521) = 4168 Sum = 4469.196180455855294 Averaged sum = 0.4465177520687236781 logp*logq = 17.72387449537587006 -------------- ************************************* p = 17; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50361106.17233165193 -------------- Searches starting with [17,523]-exponents: u = 11, v = 4 n_start has 25 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(17,523) = 0.8930778121847073006 D2(17,523) = 0.05479697796488603245 C1(17,523) = 1.097312917407965662 C2(17,523) = 2.219369205650112938 C3(17,523) = 3.135392352206232653 C4(17,523) = 4184 Sum = 5179.187512525549150 Averaged sum = 0.5174530435133928614 logp*logq = 17.73472973219568518 -------------- ************************************* p = 17; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55428224.00538467814 -------------- Searches starting with [17,541]-exponents: u = 11, v = 4 n_start has 25 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(17,541) = 0.9263111742263911960 D2(17,541) = 0.03554080750938177776 C1(17,541) = 1.248370891182451899 C2(17,541) = 2.207682753205464625 C3(17,541) = 3.669545576455685264 C4(17,541) = 4328 Sum = 4980.574473763121975 Averaged sum = 0.4976095987374484938 logp*logq = 17.83059948056849974 -------------- ************************************* p = 17; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57187647.14026267334 -------------- Searches starting with [17,547]-exponents: u = 20, v = 4 n_start has 36 digits starting right neighbors generation We generated 157 left neighbors We generated 9853 right neighbors We generated 10009 non-negative rho_i D1(17,547) = 0.6884798462507729808 D2(17,547) = 0.02649194185054809764 C1(17,547) = 0.8482145156250958032 C2(17,547) = 1.983936251535689011 C3(17,547) = 2.418966473921233341 C4(17,547) = 4376 Sum = 5036.099519654020914 Averaged sum = 0.5031571105658927878 logp*logq = 17.86184847394118807 -------------- ************************************* p = 17; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60199596.42951790779 -------------- Searches starting with [17,557]-exponents: u = 29, v = 4 n_start has 47 digits starting right neighbors generation We generated 234 left neighbors We generated 9776 right neighbors We generated 10009 non-negative rho_i D1(17,557) = 0.9382258396653090202 D2(17,557) = 0.01645809136785698106 C1(17,557) = 1.120632908676584406 C2(17,557) = 1.849458240511543375 C3(17,557) = 3.212469725273901626 C4(17,557) = 4456 Sum = 5058.034737116789645 Averaged sum = 0.5053486599177529867 logp*logq = 17.91317620642797252 -------------- ************************************* p = 17; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62055043.90634831557 -------------- Searches starting with [17,563]-exponents: u = 38, v = 4 n_start has 58 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(17,563) = 1.199431034650026966 D2(17,563) = 0.01106956831553771883 C1(17,563) = 1.542818448118477424 C2(17,563) = 1.758305398914039267 C3(17,563) = 4.986373602034470468 C4(17,563) = 4504 Sum = 3787.099506270691643 Averaged sum = 0.3783694181507335042 logp*logq = 17.94353235408476084 -------------- ************************************* p = 17; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63947097.57199600930 -------------- Searches starting with [17,569]-exponents: u = 47, v = 4 n_start has 69 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(17,569) = 1.057144608236356299 D2(17,569) = 0.006323565123823497271 C1(17,569) = 1.294682681197392554 C2(17,569) = 1.689962407596320297 C3(17,569) = 3.850863716647968511 C4(17,569) = 4552 Sum = 5574.921611828895670 Averaged sum = 0.5569908694004291807 logp*logq = 17.97356669906386184 -------------- ************************************* p = 17; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64585972.98471959258 -------------- Searches starting with [17,571]-exponents: u = 56, v = 4 n_start has 80 digits starting right neighbors generation We generated 489 left neighbors We generated 9521 right neighbors We generated 10009 non-negative rho_i D1(17,571) = 0.7273245558225186880 D2(17,571) = 0.004751030841241605498 C1(17,571) = 0.9154930024277238429 C2(17,571) = 1.637571498994920195 C3(17,571) = 2.594528912628879886 C4(17,571) = 4568 Sum = 4605.624430421270328 Averaged sum = 0.4601483095635198650 logp*logq = 17.98350780871584714 -------------- ************************************* p = 17; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66527339.99465245726 -------------- Searches starting with [17,577]-exponents: u = 92, v = 4 n_start has 125 digits starting right neighbors generation We generated 885 left neighbors We generated 9125 right neighbors We generated 10009 non-negative rho_i D1(17,577) = 0.8222867610416128927 D2(17,577) = 0.0006166045842295191485 C1(17,577) = 1.212494488377762107 C2(17,577) = 1.501527083662867509 C3(17,577) = 3.534973256320135951 C4(17,577) = 4616 Sum = 4334.037773309792751 Averaged sum = 0.4330140646727737787 logp*logq = 18.01312354887536493 -------------- ************************************* p = 17; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69846140.51409636890 -------------- Searches starting with [17,587]-exponents: u = 9, v = 2399 n_start has 6654 digits --- performed 5000 steps in the continued fraction search [17,587]-exponents: u = 1762, v = 1619 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(17,587) = 0.7080087778283311085 D2(17,587) = 0.6317685292955100241 C1(17,587) = 0.7937974243776690359 C2(17,587) = 1.509128259648075391 C3(17,587) = 2.285694201000183865 C4(17,587) = 4696 Sum = 6996.047434383329546 Averaged sum = 0.6996747109094238970 logp*logq = 18.06180538822653755 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(17,587) = 0.7080087778283311085 D2(17,587) = 0.6317685292955100241 C1(17,587) = 0.7937974243776690359 C2(17,587) = 1.509128259648075391 C3(17,587) = 2.285694201000183865 C4(17,587) = 4696 Sum = 6996.047434383329546 Averaged sum = 0.6996747109094238970 logp*logq = 18.06180538822653755 -------------- ************************************* p = 17; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71887860.92138907098 -------------- Searches starting with [17,593]-exponents: u = 9, v = 67 n_start has 197 digits starting right neighbors generation We generated 2510 left neighbors We generated 7500 right neighbors We generated 10009 non-negative rho_i D1(17,593) = 0.8741450595516775945 D2(17,593) = 0.005372278064232512965 C1(17,593) = 1.229062296686916136 C2(17,593) = 1.394244929939304507 C3(17,593) = 3.596494569687020890 C4(17,593) = 4744 Sum = 4948.969074897547712 Averaged sum = 0.4944519007790536230 logp*logq = 18.09061797563336658 -------------- ************************************* p = 17; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73967805.70857090361 -------------- Searches starting with [17,599]-exponents: u = 9, v = 31 n_start has 98 digits starting right neighbors generation We generated 827 left neighbors We generated 9183 right neighbors We generated 10009 non-negative rho_i D1(17,599) = 0.8446506420678405299 D2(17,599) = 0.01772959714047156860 C1(17,599) = 1.045964158731329827 C2(17,599) = 1.597027725626372594 C3(17,599) = 2.972130778451865591 C4(17,599) = 4792 Sum = 5409.544264431632475 Averaged sum = 0.5404680052384486437 logp*logq = 18.11914049851097289 -------------- ************************************* p = 17; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74669670.61073087150 -------------- Searches starting with [17,601]-exponents: u = 9, v = 27 n_start has 87 digits starting right neighbors generation We generated 685 left neighbors We generated 9325 right neighbors We generated 10009 non-negative rho_i D1(17,601) = 1.099601590740236820 D2(17,601) = 0.02218853185430825348 C1(17,601) = 1.315530741123034683 C2(17,601) = 1.640327990261224586 C3(17,601) = 3.935385621866960769 C4(17,601) = 4808 Sum = 5042.214367557614879 Averaged sum = 0.5037680455147981695 logp*logq = 18.12858455173566048 -------------- ************************************* p = 17; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76801082.00291045843 -------------- Searches starting with [17,607]-exponents: u = 9, v = 19 n_start has 64 digits starting right neighbors generation We generated 428 left neighbors We generated 9582 right neighbors We generated 10009 non-negative rho_i D1(17,607) = 1.041474674334229418 D2(17,607) = 0.03667935097349194023 C1(17,607) = 1.279646182794029854 C2(17,607) = 1.760317574898108646 C3(17,607) = 3.791032018396387026 C4(17,607) = 4856 Sum = 5487.581860263554260 Averaged sum = 0.5482647477533773863 logp*logq = 18.15672928659822074 -------------- ************************************* p = 17; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78971468.22730257275 -------------- Searches starting with [17,613]-exponents: u = 9, v = 15 n_start has 53 digits starting right neighbors generation We generated 313 left neighbors We generated 9697 right neighbors We generated 10009 non-negative rho_i D1(17,613) = 0.7513343474515662307 D2(17,613) = 0.05226011780871520743 C1(17,613) = 0.9174758127249319841 C2(17,613) = 1.852624198353207321 C3(17,613) = 2.599891946366049466 C4(17,613) = 4904 Sum = 4842.833560719558256 Averaged sum = 0.4838478929682843697 logp*logq = 18.18459718351699459 -------------- ************************************* p = 17; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80440203.47110208150 -------------- Searches starting with [17,617]-exponents: u = 9, v = 11 n_start has 42 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(17,617) = 0.6801060833887040149 D2(17,617) = 0.06537024108659480920 C1(17,617) = 0.8809563108020024354 C2(17,617) = 1.971049623817027118 C3(17,617) = 2.502869953612407811 C4(17,617) = 4936 Sum = 5059.636964908003985 Averaged sum = 0.5055087386260369652 logp*logq = 18.20302465234218070 -------------- ************************************* p = 17; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81181150.01970101051 -------------- Searches starting with [17,619]-exponents: u = 9, v = 11 n_start has 42 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(17,619) = 0.8057487681260530008 D2(17,619) = 0.07048825164544443417 C1(17,619) = 0.9625384348683107395 C2(17,619) = 1.976797181215138641 C3(17,619) = 2.724809777101989661 C4(17,619) = 4952 Sum = 4820.326071692983111 Averaged sum = 0.4815991679181719563 logp*logq = 18.21219363556811926 -------------- ************************************* p = 17; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85719680.64164744698 -------------- Searches starting with [17,631]-exponents: u = 9, v = 7 n_start has 31 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10009 non-negative rho_i D1(17,631) = 0.7439212681651485741 D2(17,631) = 0.1109850917980178469 C1(17,631) = 0.9288406034426108620 C2(17,631) = 2.182299494918396118 C3(17,631) = 2.630845583368973119 C4(17,631) = 5048 Sum = 4428.978017911242918 Averaged sum = 0.4424995521941495572 logp*logq = 18.26659300296363713 -------------- ************************************* p = 17; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89624681.24853581158 -------------- Searches starting with [17,641]-exponents: u = 9, v = 7 n_start has 31 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10009 non-negative rho_i D1(17,641) = 0.9136918605497513697 D2(17,641) = 0.1416641263899552164 C1(17,641) = 1.135471702590566480 C2(17,641) = 2.216023807443670535 C3(17,641) = 3.262498513881496853 C4(17,641) = 5128 Sum = 5418.765876111260833 Averaged sum = 0.5413893372076392080 logp*logq = 18.31114130037604169 -------------- ************************************* p = 17; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90419229.39684374532 -------------- Searches starting with [17,643]-exponents: u = 9, v = 7 n_start has 31 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10009 non-negative rho_i D1(17,643) = 0.6945541608248715637 D2(17,643) = 0.1443768419132722706 C1(17,643) = 0.9555776789955420431 C2(17,643) = 1.653297764356421424 C3(17,643) = 2.705129019201544402 C4(17,643) = 5144 Sum = 4796.531181708979063 Averaged sum = 0.4792218185342171108 logp*logq = 18.31996751730872479 -------------- ************************************* p = 17; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92021967.98295521809 -------------- Searches starting with [17,647]-exponents: u = 9, v = 7 n_start has 31 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10009 non-negative rho_i D1(17,647) = 0.9641616359439653872 D2(17,647) = 0.1117991090319125804 C1(17,647) = 1.326382243904542632 C2(17,647) = 1.405831310660070490 C3(17,647) = 3.980111185887687915 C4(17,647) = 5176 Sum = 5028.301442950491977 Averaged sum = 0.5023780040913669674 logp*logq = 18.33753788893275524 -------------- ************************************* p = 17; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94460358.07618201571 -------------- Searches starting with [17,653]-exponents: u = 16, v = 3 n_start has 29 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(17,653) = 0.8412115577291126551 D2(17,653) = 0.1217087392473748142 C1(17,653) = 1.157178871584860410 C2(17,653) = 1.516135235097723514 C3(17,653) = 3.337090812101544662 C4(17,653) = 5224 Sum = 5206.286425027701503 Averaged sum = 0.5201604980545210813 logp*logq = 18.36369081319556641 -------------- ************************************* p = 17; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96940168.88423857233 -------------- Searches starting with [17,659]-exponents: u = 16, v = 3 n_start has 29 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(17,659) = 0.9039946677583717933 D2(17,659) = 0.1312210894471371562 C1(17,659) = 1.098654632469143246 C2(17,659) = 2.265217709630962397 C3(17,659) = 3.139776427652178822 C4(17,659) = 5272 Sum = 5256.517667899887948 Averaged sum = 0.5251791055949533368 logp*logq = 18.38960453053223089 -------------- ************************************* p = 17; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97776031.87177963222 -------------- Searches starting with [17,661]-exponents: u = 16, v = 3 n_start has 29 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(17,661) = 0.7417891210583490844 D2(17,661) = 0.1231692123461562738 C1(17,661) = 0.9345626449743309798 C2(17,661) = 2.257862324651710448 C3(17,661) = 2.646569595354884426 C4(17,661) = 5288 Sum = 4669.784205190313309 Averaged sum = 0.4665585178529636636 logp*logq = 18.39819003208408995 -------------- ************************************* p = 17; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102889253.7099692099 -------------- Searches starting with [17,673]-exponents: u = 16, v = 3 n_start has 29 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(17,673) = 0.7293687127727261060 D2(17,673) = 0.07838464458287565087 C1(17,673) = 0.9716736654620279335 C2(17,673) = 2.217212311581498217 C3(17,673) = 2.750856048310155280 C4(17,673) = 5384 Sum = 4755.515248793591838 Averaged sum = 0.4751239133573375799 logp*logq = 18.44916376104518639 -------------- ************************************* p = 17; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104631291.8986182526 -------------- Searches starting with [17,677]-exponents: u = 23, v = 3 n_start has 37 digits starting right neighbors generation We generated 171 left neighbors We generated 9839 right neighbors We generated 10009 non-negative rho_i D1(17,677) = 1.041787001886112025 D2(17,677) = 0.06461563327550623641 C1(17,677) = 1.387802307739024641 C2(17,677) = 2.204804875212526204 C3(17,677) = 4.243011673223023544 C4(17,677) = 5416 Sum = 4097.634182901034342 Averaged sum = 0.4093949628235622282 logp*logq = 18.46595322258692118 -------------- ************************************* p = 17; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107279949.4832078983 -------------- Searches starting with [17,683]-exponents: u = 23, v = 3 n_start has 37 digits starting right neighbors generation We generated 171 left neighbors We generated 9839 right neighbors We generated 10009 non-negative rho_i D1(17,683) = 1.206360599517286490 D2(17,683) = 0.04487856916498340466 C1(17,683) = 1.464872307219252349 C2(17,683) = 2.187094940264414420 C3(17,683) = 4.597602183171603524 C4(17,683) = 5464 Sum = 5821.591402006891938 Averaged sum = 0.5816356680993997340 logp*logq = 18.49095232605026248 -------------- ************************************* p = 17; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110878436.6693330558 -------------- Searches starting with [17,691]-exponents: u = 23, v = 3 n_start has 37 digits starting right neighbors generation We generated 171 left neighbors We generated 9839 right neighbors We generated 10009 non-negative rho_i D1(17,691) = 1.676426674230049420 D2(17,691) = 0.02007138259904734729 C1(17,691) = 2.189732249169788589 C2(17,691) = 2.164962657297072540 C3(17,691) = 9.780713148486598979 C4(17,691) = 5528 Sum = 6271.659567317889409 Averaged sum = 0.6266020149183624147 logp*logq = 18.52394499400391930 -------------- ************************************* p = 17; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115485181.6831780114 -------------- Searches starting with [17,701]-exponents: u = 37, v = 3 n_start has 55 digits starting right neighbors generation We generated 350 left neighbors We generated 9660 right neighbors We generated 10009 non-negative rho_i D1(17,701) = 0.9636733232209117482 D2(17,701) = 0.07941595939876438036 C1(17,701) = 1.241602794119728663 C2(17,701) = 2.076036096898661480 C3(17,701) = 3.643772182751812129 C4(17,701) = 5608 Sum = 3252.506101510293212 Averaged sum = 0.3249581478179931274 logp*logq = 18.56465278258000154 -------------- ************************************* p = 17; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119258392.9308947341 -------------- Searches starting with [17,709]-exponents: u = 44, v = 3 n_start has 63 digits starting right neighbors generation We generated 498 left neighbors We generated 9512 right neighbors We generated 10009 non-negative rho_i D1(17,709) = 0.7051912400450911411 D2(17,709) = 0.03739291021890477982 C1(17,709) = 0.8540205366439360843 C2(17,709) = 2.036498726476632797 C3(17,709) = 2.433636958712722177 C4(17,709) = 5672 Sum = 5088.152652973407453 Averaged sum = 0.5083577433283452346 logp*logq = 18.59680306622796390 -------------- ************************************* p = 17; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124085893.5943326295 -------------- Searches starting with [17,719]-exponents: u = 65, v = 3 n_start has 89 digits starting right neighbors generation We generated 993 left neighbors We generated 9017 right neighbors We generated 10009 non-negative rho_i D1(17,719) = 0.7363634383307512887 D2(17,719) = 0.03589060961530283457 C1(17,719) = 0.9200688114835397343 C2(17,719) = 1.935576667299304673 C3(17,719) = 2.606922127240386155 C4(17,719) = 5752 Sum = 4368.362462990921424 Averaged sum = 0.4364434471966151887 logp*logq = 18.63648457404700849 -------------- ************************************* p = 17; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128037585.9677814034 -------------- Searches starting with [17,727]-exponents: u = 100, v = 3 n_start has 132 digits starting right neighbors generation We generated 2267 left neighbors We generated 7743 right neighbors We generated 10009 non-negative rho_i D1(17,727) = 1.060564171826091288 D2(17,727) = 0.01436193991135477579 C1(17,727) = 1.300399771097420424 C2(17,727) = 1.840650286970538461 C3(17,727) = 3.873859544673605170 C4(17,727) = 5816 Sum = 4687.803199039377691 Averaged sum = 0.4683587969866497842 logp*logq = 18.66783441915328689 -------------- ************************************* p = 17; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131054160.5804639707 -------------- Searches starting with [17,733]-exponents: u = 156, v = 3 n_start has 201 digits starting right neighbors generation We generated 5296 left neighbors We generated 4714 right neighbors We generated 10009 non-negative rho_i D1(17,733) = 0.6996849647145902735 D2(17,733) = 0.003492221628861358150 C1(17,733) = 0.8427355978560104393 C2(17,733) = 1.724187570219347814 C3(17,733) = 2.405203616850931768 C4(17,733) = 5864 Sum = 5361.959685880651806 Averaged sum = 0.5357138261445350990 logp*logq = 18.69112123526837266 -------------- ************************************* p = 17; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134116342.8033273654 -------------- Searches starting with [17,739]-exponents: u = 394, v = 3 n_start has 494 digits --- performed 5000 steps in the continued fraction search [17,739]-exponents: u = 249, v = 52 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(17,739) = 0.6660315391411589490 D2(17,739) = 0.2560527460340572728 C1(17,739) = 0.7820911432795260244 C2(17,739) = 1.519244270985462660 C3(17,739) = 2.257998338808328711 C4(17,739) = 5912 Sum = 5842.998051164313288 Averaged sum = 0.5843582409405253813 logp*logq = 18.71421821109722636 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(17,739) = 0.6660315391411589490 D2(17,739) = 0.2560527460340572728 C1(17,739) = 0.7820911432795260244 C2(17,739) = 1.519244270985462660 C3(17,739) = 2.257998338808328711 C4(17,739) = 5912 Sum = 5842.998051164313288 Averaged sum = 0.5843582409405253813 logp*logq = 18.71421821109722636 -------------- ************************************* p = 17; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136183288.7015849519 -------------- Searches starting with [17,743]-exponents: u = 16305, v = 3 n_start has 20072 digits --- performed 5000 steps in the continued fraction search [17,743]-exponents: u = 13936, v = 1018 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(17,743) = 0.7318121997690519371 D2(17,743) = 0.7271850500279370083 C1(17,743) = 0.8103844767085185162 C2(17,743) = 1.536242187776253887 C3(17,743) = 2.325520147895607456 C4(17,743) = 5944 Sum = 7271.171477799502922 Averaged sum = 0.7271898667666269549 logp*logq = 18.72951224739400340 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(17,743) = 0.7318121997690519371 D2(17,743) = 0.7271850500279370083 C1(17,743) = 0.8103844767085185162 C2(17,743) = 1.536242187776253887 C3(17,743) = 2.325520147895607456 C4(17,743) = 5944 Sum = 7271.171477799502922 Averaged sum = 0.7271898667666269549 logp*logq = 18.72951224739400340 -------------- ************************************* p = 17; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140378773.0449740029 -------------- Searches starting with [17,751]-exponents: u = 7, v = 89 n_start has 265 digits --- performed 5000 steps in the continued fraction search [17,751]-exponents: u = 55, v = 40 --- starting right neighbors generation We generated 9105 left neighbors We generated 905 right neighbors We generated 10009 non-negative rho_i D1(17,751) = 0.8967858893560993740 D2(17,751) = 0.009026835500936806098 C1(17,751) = 1.071758717305966769 C2(17,751) = 1.647530648580398581 C3(17,751) = 3.053052408942476991 C4(17,751) = 6008 Sum = 5523.501196993669811 Averaged sum = 0.5518534515929333411 logp*logq = 18.75985484898739317 -------------- ************************************* p = 17; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 143579641.4987473290 -------------- Searches starting with [17,757]-exponents: u = 7, v = 50 n_start has 153 digits starting right neighbors generation We generated 3062 left neighbors We generated 6948 right neighbors We generated 10009 non-negative rho_i D1(17,757) = 0.6926340925142609213 D2(17,757) = 0.003418509866740310774 C1(17,757) = 0.8441038349899787481 C2(17,757) = 1.812947817226303699 C3(17,757) = 2.408633229325182219 C4(17,757) = 6056 Sum = 4768.752484553909195 Averaged sum = 0.4764464466534028569 logp*logq = 18.78240043223491056 -------------- ************************************* p = 17; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145739561.6450267038 -------------- Searches starting with [17,761]-exponents: u = 7, v = 38 n_start has 119 digits starting right neighbors generation We generated 1828 left neighbors We generated 8182 right neighbors We generated 10009 non-negative rho_i D1(17,761) = 0.7619814117537628286 D2(17,761) = 0.004581954152909057304 C1(17,761) = 0.9139899522174218723 C2(17,761) = 1.883770179002991847 C3(17,761) = 2.590470889406521735 C4(17,761) = 6088 Sum = 5156.437274169182018 Averaged sum = 0.5151800653580959155 logp*logq = 18.79733176241422870 -------------- ************************************* p = 17; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150122233.0575762953 -------------- Searches starting with [17,769]-exponents: u = 7, v = 26 n_start has 84 digits starting right neighbors generation We generated 909 left neighbors We generated 9101 right neighbors We generated 10009 non-negative rho_i D1(17,769) = 0.9146278761340591721 D2(17,769) = 0.01043697885744794389 C1(17,769) = 1.110624419770992974 C2(17,769) = 1.982417011854670829 C3(17,769) = 3.179160189131832798 C4(17,769) = 6152 Sum = 5382.846403328166677 Averaged sum = 0.5378006197750191505 logp*logq = 18.82696040727084856 -------------- ************************************* p = 17; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152345167.3456391254 -------------- Searches starting with [17,773]-exponents: u = 7, v = 23 n_start has 76 digits starting right neighbors generation We generated 711 left neighbors We generated 9299 right neighbors We generated 10009 non-negative rho_i D1(17,773) = 0.8026083409199469146 D2(17,773) = 0.03007457201669890168 C1(17,773) = 0.9655444187186940511 C2(17,773) = 2.002950107772629556 C3(17,773) = 2.733353067342849248 C4(17,773) = 6184 Sum = 4934.503711956616579 Averaged sum = 0.4930066651969843720 logp*logq = 18.84165934215536087 -------------- ************************************* p = 17; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160292888.7766955335 -------------- Searches starting with [17,787]-exponents: u = 7, v = 14 n_start has 50 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(17,787) = 0.7286950746825672996 D2(17,787) = 0.01752134693763513278 C1(17,787) = 0.9344137646697750558 C2(17,787) = 2.123454345556160035 C3(17,787) = 2.646159288021074653 C4(17,787) = 6296 Sum = 4874.422541878289277 Averaged sum = 0.4870039506322598938 logp*logq = 18.89251325462879536 -------------- ************************************* p = 17; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166130905.9569034710 -------------- Searches starting with [17,797]-exponents: u = 7, v = 11 n_start has 41 digits starting right neighbors generation We generated 191 left neighbors We generated 9819 right neighbors We generated 10009 non-negative rho_i D1(17,797) = 0.8268383405385721563 D2(17,797) = 0.05019660483249825233 C1(17,797) = 0.9907823904359833680 C2(17,797) = 2.158465315887247735 C3(17,797) = 2.806146528273551440 C4(17,797) = 6376 Sum = 5043.885224693854726 Averaged sum = 0.5039349809864976248 logp*logq = 18.92828662564884249 -------------- ************************************* p = 17; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173315959.2804462087 -------------- Searches starting with [17,809]-exponents: u = 7, v = 11 n_start has 41 digits starting right neighbors generation We generated 191 left neighbors We generated 9819 right neighbors We generated 10009 non-negative rho_i D1(17,809) = 1.075667020539486461 D2(17,809) = 0.09231920590557284856 C1(17,809) = 1.419505078499200919 C2(17,809) = 2.203351637692142313 C3(17,809) = 4.385435550359081820 C4(17,809) = 6472 Sum = 3167.737673143039379 Averaged sum = 0.3164889272797521610 logp*logq = 18.97062684092727945 -------------- ************************************* p = 17; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 174532657.8301373661 -------------- Searches starting with [17,811]-exponents: u = 7, v = 8 n_start has 32 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(17,811) = 0.9522315367941117666 D2(17,811) = 0.09970945819898882258 C1(17,811) = 1.118952999606886401 C2(17,811) = 2.211198442648262187 C3(17,811) = 3.206854497737053678 C4(17,811) = 6488 Sum = 4539.957554386969092 Averaged sum = 0.4535875266646986803 logp*logq = 18.97762243298525238 -------------- ************************************* p = 17; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180699071.8794380018 -------------- Searches starting with [17,821]-exponents: u = 7, v = 8 n_start has 32 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(17,821) = 1.078804052995679875 D2(17,821) = 0.1385887692667541724 C1(17,821) = 1.373938958383951074 C2(17,821) = 2.252343430153389695 C3(17,821) = 4.182193482998003995 C4(17,821) = 6568 Sum = 4449.255656176493793 Averaged sum = 0.4445254926742425609 logp*logq = 19.01234361929823148 -------------- ************************************* p = 17; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 181949018.1641954062 -------------- Searches starting with [17,823]-exponents: u = 7, v = 8 n_start has 32 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(17,823) = 0.6465361039573781340 D2(17,823) = 0.1468003077646757978 C1(17,823) = 0.7900601926253410163 C2(17,823) = 2.261004725859663964 C3(17,823) = 2.276815576808631106 C4(17,823) = 6584 Sum = 4781.080028903623471 Averaged sum = 0.4776780926070160326 logp*logq = 19.01923708582319211 -------------- ************************************* p = 17; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184465664.6567168934 -------------- Searches starting with [17,827]-exponents: u = 7, v = 8 n_start has 32 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(17,827) = 0.6345565872378041304 D2(17,827) = 0.1637268383517109614 C1(17,827) = 0.7669768797835778767 C2(17,827) = 2.278827436953251545 C3(17,827) = 2.222735316169260191 C4(17,827) = 6616 Sum = 5055.956637203854216 Averaged sum = 0.5051410367872768724 logp*logq = 19.03297390470462128 -------------- ************************************* p = 17; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 185732387.4558739754 -------------- Searches starting with [17,829]-exponents: u = 7, v = 8 n_start has 32 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(17,829) = 0.7045131833929516495 D2(17,829) = 0.1678939188440932623 C1(17,829) = 0.8631515627112503933 C2(17,829) = 1.730189799776732982 C3(17,829) = 2.456889170904905746 C4(17,829) = 6632 Sum = 5083.244859307546345 Averaged sum = 0.5078674052660152208 logp*logq = 19.03981741852485228 -------------- ************************************* p = 17; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 192150448.3990513928 -------------- Searches starting with [17,839]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(17,839) = 0.9062788128617138211 D2(17,839) = 0.1385971383623061030 C1(17,839) = 1.226818381537232530 C2(17,839) = 1.476718148719145660 C3(17,839) = 3.588099952817216541 C4(17,839) = 6712 Sum = 4965.441495374520293 Averaged sum = 0.4960976616419742525 logp*logq = 19.07378920856101414 -------------- ************************************* p = 17; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 201374236.0488981010 -------------- Searches starting with [17,853]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(17,853) = 1.003258567909778803 D2(17,853) = 0.01316563071596014554 C1(17,853) = 1.198309204722555528 C2(17,853) = 2.346162447454325810 C3(17,853) = 3.483135925535697112 C4(17,853) = 6824 Sum = 5025.086620886321452 Averaged sum = 0.5020568109587692528 logp*logq = 19.12067560578021582 -------------- ************************************* p = 17; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204061184.1666837201 -------------- Searches starting with [17,857]-exponents: u = 7, v = 5 n_start has 24 digits **************************************************** Computing .... elapsed time = 4 minutes **************************************************** starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(17,857) = 0.7457347168235241162 D2(17,857) = 0.01826041398979801842 C1(17,857) = 0.9719168862190139334 C2(17,857) = 2.352231264073644044 C3(17,857) = 2.751552908865624918 C4(17,857) = 6856 Sum = 4920.403177074503210 Averaged sum = 0.4915978796157961045 logp*logq = 19.13393042922646728 -------------- ************************************* p = 17; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 205413311.1045707969 -------------- Searches starting with [17,859]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(17,859) = 1.201148015007892928 D2(17,859) = 0.02081754129647758690 C1(17,859) = 1.565420932642971719 C2(17,859) = 2.355273664454656047 C3(17,859) = 5.105137575280922523 C4(17,859) = 6872 Sum = 4527.558123623315159 Averaged sum = 0.4523486985336512298 logp*logq = 19.14053465912607012 -------------- ************************************* p = 17; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 208134926.8485714604 -------------- Searches starting with [17,863]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(17,863) = 0.6386849219734221842 D2(17,863) = 0.02595190114464822544 C1(17,863) = 0.8323763363078346879 C2(17,863) = 2.361375110604698275 C3(17,863) = 2.379395132991053267 C4(17,863) = 6904 Sum = 4991.501623180305589 Averaged sum = 0.4987013311200225386 logp*logq = 19.15369711413124989 -------------- ************************************* p = 17; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 217844058.5166755261 -------------- Searches starting with [17,877]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(17,877) = 0.6728319319164088820 D2(17,877) = 0.04414721555533060802 C1(17,877) = 0.8476851062709592063 C2(17,877) = 2.382919461079605735 C3(17,877) = 2.417633185448425587 C4(17,877) = 7016 Sum = 4795.514309764392015 Averaged sum = 0.4791202227759408547 logp*logq = 19.19929003687912386 -------------- ************************************* p = 17; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220670887.4829647900 -------------- Searches starting with [17,881]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(17,881) = 0.8916541486971981906 D2(17,881) = 0.04941477837235556233 C1(17,881) = 1.077981253544887590 C2(17,881) = 2.389133845582966297 C3(17,881) = 3.072901105642983574 C4(17,881) = 7048 Sum = 5178.218968317292189 Averaged sum = 0.5173562761831643709 logp*logq = 19.21218295261654875 -------------- ************************************* p = 17; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 222093156.4402562082 -------------- Searches starting with [17,883]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(17,883) = 0.8304140942718932872 D2(17,883) = 0.05206077539353032241 C1(17,883) = 0.9871537674700967360 C2(17,883) = 2.392251604839008484 C3(17,883) = 2.795562420531996389 C4(17,883) = 7064 Sum = 4496.351528000303748 Averaged sum = 0.4492308450394948295 logp*logq = 19.21860747542394832 -------------- ************************************* p = 17; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 224955459.1557824280 -------------- Searches starting with [17,887]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(17,887) = 1.005106678983469168 D2(17,887) = 0.05737797040844707694 C1(17,887) = 1.225706608624974718 C2(17,887) = 2.398509052264710617 C3(17,887) = 3.583948007654607228 C4(17,887) = 7096 Sum = 5857.858355536857224 Averaged sum = 0.5852591023615603181 logp*logq = 19.23141298126453059 -------------- ************************************* p = 17; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239625168.9979430512 -------------- Searches starting with [17,907]-exponents: u = 12, v = 2 n_start has 21 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(17,907) = 0.8497217196881823655 D2(17,907) = 0.05395131081306780288 C1(17,907) = 1.008639687342125624 C2(17,907) = 1.551479817285555325 C3(17,907) = 2.858820121390509398 C4(17,907) = 7256 Sum = 4581.583203390539327 Averaged sum = 0.4577463486252911706 logp*logq = 19.29458646458989887 -------------- ************************************* p = 17; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242631374.0140039841 -------------- Searches starting with [17,911]-exponents: u = 12, v = 2 n_start has 21 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(17,911) = 0.7271891047930724430 D2(17,911) = 0.04711378400954120578 C1(17,911) = 1.031950297527121657 C2(17,911) = 2.492493365962622250 C3(17,911) = 2.929069901401262750 C4(17,911) = 7288 Sum = 4215.779879274961166 Averaged sum = 0.4211989089094775867 logp*logq = 19.30705387016042184 -------------- ************************************* p = 17; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 248716758.8157327565 -------------- Searches starting with [17,919]-exponents: u = 12, v = 2 n_start has 21 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(17,919) = 0.6560150369469756894 D2(17,919) = 0.03157872579055735525 C1(17,919) = 0.7992191415315777347 C2(17,919) = 2.479207332129056731 C3(17,919) = 2.298636278766149586 C4(17,919) = 7352 Sum = 4809.584763325573682 Averaged sum = 0.4805260029299204398 logp*logq = 19.33182529217172766 -------------- ************************************* p = 17; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 256461233.2019850463 -------------- Searches starting with [17,929]-exponents: u = 12, v = 2 n_start has 21 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(17,929) = 0.8417902148440006676 D2(17,929) = 0.01297164946160464994 C1(17,929) = 1.077856733935195652 C2(17,929) = 2.463383818319115280 C3(17,929) = 3.072502649473702108 C4(17,929) = 7432 Sum = 4344.408705159187158 Averaged sum = 0.4340502253131368926 logp*logq = 19.36248807353856482 -------------- ************************************* p = 17; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 262767871.9870307577 -------------- Searches starting with [17,937]-exponents: u = 12, v = 2 n_start has 21 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(17,937) = 0.7657650343380601830 D2(17,937) = 0.1033847920650362017 C1(17,937) = 0.9301243826214704689 C2(17,937) = 2.014913746669607945 C3(17,937) = 2.634365224716438360 C4(17,937) = 7496 Sum = 4775.774829640916161 Averaged sum = 0.4771480497193442063 logp*logq = 19.38678158438828476 -------------- ************************************* p = 17; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 265958454.6622427542 -------------- Searches starting with [17,941]-exponents: u = 12, v = 2 n_start has 21 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(17,941) = 2.028386056299254495 D2(17,941) = 0.1179954592418292524 C1(17,941) = 2.655709796883994200 C2(17,941) = 2.203555071991439887 C3(17,941) = 15.88994928529726762 C4(17,941) = 7528 Sum = 6326.737729375261579 Averaged sum = 0.6321048785468340073 logp*logq = 19.39885066906746051 -------------- ************************************* p = 17; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 270791156.5261070833 -------------- Searches starting with [17,947]-exponents: u = 12, v = 2 n_start has 21 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(17,947) = 1.100217980275176833 D2(17,947) = 0.1259560172152819597 C1(17,947) = 1.321096123350764958 C2(17,947) = 2.212743344430992464 C3(17,947) = 3.958260765636728232 C4(17,947) = 7576 Sum = 5150.388816434467031 Averaged sum = 0.5145757634563360007 logp*logq = 19.41685844162316197 -------------- ************************************* p = 17; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 275680316.8601817192 -------------- Searches starting with [17,953]-exponents: u = 12, v = 2 n_start has 21 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(17,953) = 1.092875317236417652 D2(17,953) = 0.1340384285652551934 C1(17,953) = 1.390143416451867768 C2(17,953) = 2.222045550869973907 C3(17,953) = 4.253369000805799874 C4(17,953) = 7624 Sum = 4328.999977715650124 Averaged sum = 0.4325107381072684708 logp*logq = 19.43475248011998045 -------------- ************************************* p = 17; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287309591.1132042874 -------------- Searches starting with [17,967]-exponents: u = 12, v = 2 n_start has 21 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(17,967) = 0.7933343593215930255 D2(17,967) = 0.1298849731940525686 C1(17,967) = 1.085039059701445622 C2(17,967) = 1.591399725413580276 C3(17,967) = 3.095570385123725492 C4(17,967) = 7736 Sum = 4742.852750493800983 Averaged sum = 0.4738588021274653794 logp*logq = 19.47607090700943731 -------------- ************************************* p = 17; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 290689526.0377333863 -------------- Searches starting with [17,971]-exponents: u = 12, v = 2 n_start has 21 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(17,971) = 1.059772470412515232 D2(17,971) = 0.1027343514899835296 C1(17,971) = 1.449362428891043415 C2(17,971) = 1.362005113566734399 C3(17,971) = 4.523937473182273311 C4(17,971) = 7768 Sum = 4709.904684625777796 Averaged sum = 0.4705669582001976017 logp*logq = 19.48776633473804717 -------------- ************************************* p = 17; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 295807496.0525672668 -------------- Searches starting with [17,977]-exponents: u = 17, v = 2 n_start has 27 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(17,977) = 0.9308490373730621913 D2(17,977) = 0.1090452528066790561 C1(17,977) = 1.273003615099977926 C2(17,977) = 1.469528424656701047 C3(17,977) = 3.764897497738808899 C4(17,977) = 7816 Sum = 4981.858833542734327 Averaged sum = 0.4977379192269691605 logp*logq = 19.50521944954451577 -------------- ************************************* p = 17; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 300983410.8912998894 -------------- Searches starting with [17,983]-exponents: u = 17, v = 2 n_start has 27 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(17,983) = 0.8854730415783636214 D2(17,983) = 0.1331190480543783995 C1(17,983) = 1.060015427539324304 C2(17,983) = 1.711932440011710756 C3(17,983) = 3.015942191472975396 C4(17,983) = 7864 Sum = 5056.078340972573282 Averaged sum = 0.5051531962206587353 logp*logq = 19.52256570787641455 -------------- ************************************* p = 17; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307975279.2367396993 -------------- Searches starting with [17,991]-exponents: u = 17, v = 2 n_start has 27 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(17,991) = 0.8984766915161279490 D2(17,991) = 0.1126175753620329344 C1(17,991) = 1.130924450910668505 C2(17,991) = 2.382316494054618141 C3(17,991) = 3.247085279377318350 C4(17,991) = 7928 Sum = 4879.095856973070286 Averaged sum = 0.4874708619215776087 logp*logq = 19.54553007549828676 -------------- ************************************* p = 17; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 313287550.6189018418 -------------- Searches starting with [17,997]-exponents: u = 17, v = 2 n_start has 27 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(17,997) = 0.8369245001479421652 D2(17,997) = 0.09351509529657417322 C1(17,997) = 1.074841718858947008 C2(17,997) = 2.364673637353029874 C3(17,997) = 3.062870515875472291 C4(17,997) = 7976 Sum = 4353.522776954122184 Averaged sum = 0.4349608129637448480 logp*logq = 19.56263201883831275 -------------- ************************************* p = 19; q = 23; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10221.73268801903961 -------------- Searches starting with [19,23]-exponents: u = 1, v = 15 n_start has 22 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(19,23) = 0.8219494509357693022 D2(19,23) = 0.02330069820746868571 C1(19,23) = 1.023379887524563002 C2(19,23) = 1.460835545278074556 C3(19,23) = 3.019727718546926666 C4(19,23) = 184 Sum = 5885.779585676701735 Averaged sum = 0.5880487147244181971 logp*logq = 9.232271388332704152 -------------- ************************************* p = 19; q = 29; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20227.47476650866837 -------------- Searches starting with [19,29]-exponents: u = 1, v = 6 n_start has 11 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(19,29) = 1.315243647175174238 D2(19,29) = 0.1061623634345724095 C1(19,29) = 1.998290347188308180 C2(19,29) = 0.9470421780712071827 C3(19,29) = 8.653728890733391318 C4(19,29) = 232 Sum = 5822.113437858557918 Averaged sum = 0.5816878247435865638 logp*logq = 9.914797096196785435 -------------- ************************************* p = 19; q = 31; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24616.34122549191763 -------------- Searches starting with [19,31]-exponents: u = 1, v = 6 n_start has 11 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(19,31) = 1.631845411487362390 D2(19,31) = 0.06331815996673468213 C1(19,31) = 2.537629256688277263 C2(19,31) = 0.8230039121902135620 C3(19,31) = 15.49368112886830926 C4(19,31) = 248 Sum = 5145.554847905650946 Averaged sum = 0.5140928012694226142 logp*logq = 10.11116577884486264 -------------- ************************************* p = 19; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41445.20418071898960 -------------- Searches starting with [19,37]-exponents: u = 11, v = 4 n_start has 21 digits starting right neighbors generation We generated 92 left neighbors We generated 9918 right neighbors We generated 10009 non-negative rho_i D1(19,37) = 0.8777390585217309044 D2(19,37) = 0.01465695138921676219 C1(19,37) = 1.104813869222191199 C2(19,37) = 1.557242642861583053 C3(19,37) = 3.297315705664268423 C4(19,37) = 296 Sum = 5820.833409185121348 Averaged sum = 0.5815599369752344238 logp*logq = 10.63212745255997425 -------------- ************************************* p = 19; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56071.69087410385991 -------------- Searches starting with [19,41]-exponents: u = 5, v = 19 n_start has 38 digits starting right neighbors generation We generated 245 left neighbors We generated 9765 right neighbors We generated 10009 non-negative rho_i D1(19,41) = 0.8414534634744905473 D2(19,41) = 0.02650497934260164116 C1(19,41) = 1.111314218003441005 C2(19,41) = 1.355299985659356572 C3(19,41) = 3.320543786202591013 C4(19,41) = 328 Sum = 5619.025339932119006 Averaged sum = 0.5613972764444119299 logp*logq = 10.93438634514784061 -------------- ************************************* p = 19; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64513.14168557645006 -------------- Searches starting with [19,43]-exponents: u = 5, v = 7 n_start has 18 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(19,43) = 0.9198661845929841812 D2(19,43) = 0.1265881052061435291 C1(19,43) = 1.236714553101403657 C2(19,43) = 1.778140677751073158 C3(19,43) = 3.802089093740414944 C4(19,43) = 344 Sum = 5450.411963504716287 Averaged sum = 0.5445511003601474960 logp*logq = 11.07462422909345070 -------------- ************************************* p = 19; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83828.19401840788944 -------------- Searches starting with [19,47]-exponents: u = 13, v = 3 n_start has 22 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(19,47) = 1.441525397420073864 D2(19,47) = 0.008635224106490047069 C1(19,47) = 1.990996393650205915 C2(19,47) = 1.731248730932836101 C3(19,47) = 8.585832316911124559 C4(19,47) = 376 Sum = 5143.527599910723432 Averaged sum = 0.5138902587581899722 logp*logq = 11.33652467401928390 -------------- ************************************* p = 19; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119405.7061419346908 -------------- Searches starting with [19,53]-exponents: u = 4, v = 20 n_start has 40 digits starting right neighbors generation We generated 313 left neighbors We generated 9697 right neighbors We generated 10009 non-negative rho_i D1(19,53) = 0.7434061681624475066 D2(19,53) = 0.03556373023502969603 C1(19,53) = 0.9222642098809148831 C2(19,53) = 1.593845380935826136 C3(19,53) = 2.707349189279952194 C4(19,53) = 424 Sum = 5510.812385305800917 Averaged sum = 0.5505857113903287957 logp*logq = 11.69028226893218309 -------------- ************************************* p = 19; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 163744.1108943311644 -------------- Searches starting with [19,59]-exponents: u = 4, v = 5 n_start has 14 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(19,59) = 1.212425638719927057 D2(19,59) = 0.009314584207316864496 C1(19,59) = 1.665419489938713703 C2(19,59) = 1.918693307947829629 C3(19,59) = 6.040682387122170149 C4(19,59) = 472 Sum = 4053.456974731403629 Averaged sum = 0.4049812143801981845 logp*logq = 12.00606018884669356 -------------- ************************************* p = 19; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180632.0275798534459 -------------- Searches starting with [19,61]-exponents: u = 4, v = 5 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(19,61) = 0.9399152835340340231 D2(19,61) = 0.05275935978326118117 C1(19,61) = 1.462277931109779304 C2(19,61) = 1.969332449292144082 C3(19,61) = 4.850785724078973033 C4(19,61) = 488 Sum = 5805.570499865475604 Averaged sum = 0.5800350184699246282 logp*logq = 12.10421724410846499 -------------- ************************************* p = 19; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 238103.5266378977623 -------------- Searches starting with [19,67]-exponents: u = 7, v = 2 n_start has 13 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(19,67) = 1.317530126856134754 D2(19,67) = 0.09636760470629345474 C1(19,67) = 1.935560356531315642 C2(19,67) = 0.9968498969391015947 C3(19,67) = 8.086912780023949460 C4(19,67) = 536 Sum = 5301.814220079955448 Averaged sum = 0.5297046877889854579 logp*logq = 12.38046084394820268 -------------- ************************************* p = 19; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 282434.1727689290945 -------------- Searches starting with [19,71]-exponents: u = 13, v = 2 n_start has 21 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(19,71) = 0.7961120432967660371 D2(19,71) = 0.1975712866909931362 C1(19,71) = 0.9840459314731542868 C2(19,71) = 1.921570321508454850 C3(19,71) = 2.894143490273174338 C4(19,71) = 568 Sum = 5669.697025843157515 Averaged sum = 0.5664598886844997018 logp*logq = 12.55120078566885872 -------------- ************************************* p = 19; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 306507.0442759178642 -------------- Searches starting with [19,73]-exponents: u = 16, v = 2 n_start has 25 digits starting right neighbors generation We generated 91 left neighbors We generated 9919 right neighbors We generated 10009 non-negative rho_i D1(19,73) = 1.613588788482588309 D2(19,73) = 0.06001092886240668024 C1(19,73) = 2.056778576353203414 C2(19,73) = 1.791231322857278595 C3(19,73) = 9.217951406247206376 C4(19,73) = 584 Sum = 6078.875124470177666 Averaged sum = 0.6073409056319490124 logp*logq = 12.63299601704998541 -------------- ************************************* p = 19; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 386765.0084357784683 -------------- Searches starting with [19,79]-exponents: u = 46, v = 2 n_start has 63 digits starting right neighbors generation We generated 606 left neighbors We generated 9404 right neighbors We generated 10009 non-negative rho_i D1(19,79) = 0.9659024259399050324 D2(19,79) = 0.01074272111020890983 C1(19,79) = 1.238347817739149041 C2(19,79) = 1.466717290443262695 C3(19,79) = 3.808801107033865616 C4(19,79) = 632 Sum = 4034.832825878538408 Averaged sum = 0.4031204741611088428 logp*logq = 12.86557257423899231 -------------- ************************************* p = 19; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 447309.7239151660994 -------------- Searches starting with [19,83]-exponents: u = 3, v = 673 n_start has 1296 digits --- performed 5000 steps in the continued fraction search [19,83]-exponents: u = 902, v = 69 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,83) = 0.7019555389149087993 D2(19,83) = 0.4580218565860490151 C1(19,83) = 0.8115373582064161959 C2(19,83) = 1.271714352094629872 C3(19,83) = 2.402221763393192674 C4(19,83) = 664 Sum = 6791.882603827140860 Averaged sum = 0.6792561860013142174 logp*logq = 13.01100652831982809 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,83) = 0.7019555389149087993 D2(19,83) = 0.4580218565860490151 C1(19,83) = 0.8115373582064161959 C2(19,83) = 1.271714352094629872 C3(19,83) = 2.402221763393192674 C4(19,83) = 664 Sum = 6791.882603827140860 Averaged sum = 0.6792561860013142174 logp*logq = 13.01100652831982809 -------------- ************************************* p = 19; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 549363.6516349205552 -------------- Searches starting with [19,89]-exponents: u = 3, v = 19 n_start has 41 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(19,89) = 0.7299278566134992155 D2(19,89) = 0.006242262415673612980 C1(19,89) = 0.8931861891443653967 C2(19,89) = 1.612046333371800015 C3(19,89) = 2.623654283107784690 C4(19,89) = 712 Sum = 5539.184126013913726 Averaged sum = 0.5534203343005209038 logp*logq = 13.21651589034345903 -------------- ************************************* p = 19; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 707828.6499403120910 -------------- Searches starting with [19,97]-exponents: u = 3, v = 9 n_start has 22 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(19,97) = 0.8004346826230128672 D2(19,97) = 0.006418369925629231140 C1(19,97) = 1.128127359131657659 C2(19,97) = 1.903987384055165046 C3(19,97) = 3.381384967671660064 C4(19,97) = 776 Sum = 5071.066661704236141 Averaged sum = 0.5066506805579214847 logp*logq = 13.46995732352600846 -------------- ************************************* p = 19; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 797263.6797042751037 -------------- Searches starting with [19,101]-exponents: u = 3, v = 7 n_start has 18 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(19,101) = 0.7797815079720934749 D2(19,101) = 0.1379159977716326121 C1(19,101) = 0.9871781345843396468 C2(19,101) = 2.043071607300135255 C3(19,101) = 2.903949573822807263 C4(19,101) = 808 Sum = 5293.264023203190924 Averaged sum = 0.5288504369270847161 logp*logq = 13.58894074333817307 -------------- ************************************* p = 19; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 844649.2157133641544 -------------- Searches starting with [19,103]-exponents: u = 3, v = 5 n_start has 14 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(19,103) = 1.129918989355441705 D2(19,103) = 0.1363130200796528518 C1(19,103) = 1.404579830546975764 C2(19,103) = 1.331626287450485532 C3(19,103) = 4.557760854047825547 C4(19,103) = 824 Sum = 5156.211131317842178 Averaged sum = 0.5151574714075174521 logp*logq = 13.64667669081597819 -------------- ************************************* p = 19; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 944923.6061568849426 -------------- Searches starting with [19,107]-exponents: u = 3, v = 5 n_start has 14 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(19,107) = 0.9495718583285330394 D2(19,107) = 0.09401849550216325424 C1(19,107) = 1.188581232635937454 C2(19,107) = 1.674469896687704031 C3(19,107) = 3.609504926952755030 C4(19,107) = 856 Sum = 5368.925425440706763 Averaged sum = 0.5364097737476977483 logp*logq = 13.75885936316252281 -------------- ************************************* p = 19; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 997879.2632477548814 -------------- Searches starting with [19,109]-exponents: u = 3, v = 5 n_start has 15 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(19,109) = 0.7816161592493016999 D2(19,109) = 0.02874062898915104914 C1(19,109) = 0.9674023857714010337 C2(19,109) = 2.141344330797168004 C3(19,109) = 2.842589803819830559 C4(19,109) = 872 Sum = 5507.588287065089345 Averaged sum = 0.5502635914741821705 logp*logq = 13.81338756926542222 -------------- ************************************* p = 19; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1109594.246817109422 -------------- Searches starting with [19,113]-exponents: u = 8, v = 3 n_start has 17 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(19,113) = 0.7808718893418125481 D2(19,113) = 0.04375514717299795443 C1(19,113) = 1.186402810014571814 C2(19,113) = 2.043769693961814287 C3(19,113) = 3.601023480297729168 C4(19,113) = 904 Sum = 5474.232599668613299 Averaged sum = 0.5469310220470190128 logp*logq = 13.91950496305322976 -------------- ************************************* p = 19; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1565026.445260083329 -------------- Searches starting with [19,127]-exponents: u = 23, v = 3 n_start has 36 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(19,127) = 1.133103720930978311 D2(19,127) = 0.01477163454746851196 C1(19,127) = 1.444322874014850891 C2(19,127) = 1.833360553337788285 C3(19,127) = 4.757635028704551246 C4(19,127) = 1016 Sum = 5647.324554142156972 Averaged sum = 0.5642246532263120164 logp*logq = 14.26341327974338794 -------------- ************************************* p = 19; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1714652.560727655185 -------------- Searches starting with [19,131]-exponents: u = 48, v = 3 n_start has 68 digits starting right neighbors generation We generated 747 left neighbors We generated 9263 right neighbors We generated 10009 non-negative rho_i D1(19,131) = 1.166736048967017652 D2(19,131) = 0.03163973236189403227 C1(19,131) = 1.439747511831590285 C2(19,131) = 1.644805031089590338 C3(19,131) = 4.734185451580364153 C4(19,131) = 1048 Sum = 6071.243642961783188 Averaged sum = 0.6065784436968511528 logp*logq = 14.35472102956136175 -------------- ************************************* p = 19; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1956335.453787281509 -------------- Searches starting with [19,137]-exponents: u = 5, v = 76 n_start has 169 digits starting right neighbors generation We generated 4698 left neighbors We generated 5312 right neighbors We generated 10009 non-negative rho_i D1(19,137) = 0.7332093491832165761 D2(19,137) = 0.01069002771627376385 C1(19,137) = 0.8953716089097426347 C2(19,137) = 1.417866358568800082 C3(19,137) = 2.629853616023967099 C4(19,137) = 1096 Sum = 5693.659343193979560 Averaged sum = 0.5688539657502227555 logp*logq = 14.48658361476372274 -------------- ************************************* p = 19; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2041626.578248812612 -------------- Searches starting with [19,139]-exponents: u = 5, v = 34 n_start has 80 digits starting right neighbors generation We generated 1001 left neighbors We generated 9009 right neighbors We generated 10009 non-negative rho_i D1(19,139) = 0.7463015021175939649 D2(19,139) = 0.02956676541556129698 C1(19,139) = 0.9415809802993547629 C2(19,139) = 1.605033931730475119 C3(19,139) = 2.764419123831814969 C4(19,139) = 1112 Sum = 5374.820105034090171 Averaged sum = 0.5369987116629123959 logp*logq = 14.52925739039074442 -------------- ************************************* p = 19; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2505038.227545151439 -------------- Searches starting with [19,149]-exponents: u = 5, v = 10 n_start has 29 digits starting right neighbors generation We generated 127 left neighbors We generated 9883 right neighbors We generated 10009 non-negative rho_i D1(19,149) = 1.054786684486599317 D2(19,149) = 0.05527689502195474267 C1(19,149) = 1.456878531577383647 C2(19,149) = 1.952817602896421851 C3(19,149) = 4.822583529478584396 C4(19,149) = 1192 Sum = 4916.119778993919642 Averaged sum = 0.4911699249669217346 logp*logq = 14.73381455288172847 -------------- ************************************* p = 19; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2605341.505930451445 -------------- Searches starting with [19,151]-exponents: u = 5, v = 7 n_start has 22 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(19,151) = 0.8066939599520491957 D2(19,151) = 0.08819382440973832016 C1(19,151) = 0.9691855708331133204 C2(19,151) = 1.988333146574872249 C3(19,151) = 2.848069036429926822 C4(19,151) = 1208 Sum = 4951.272353526473288 Averaged sum = 0.4946820215332673882 logp*logq = 14.77307432090370077 -------------- ************************************* p = 19; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2922082.887275070917 -------------- Searches starting with [19,157]-exponents: u = 12, v = 4 n_start has 25 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(19,157) = 0.7785830341434824566 D2(19,157) = 0.1353214064078690623 C1(19,157) = 1.116948286753960275 C2(19,157) = 1.418632210590385186 C3(19,157) = 3.340808670119928038 C4(19,157) = 1256 Sum = 5050.444953621175130 Averaged sum = 0.5045903640344864751 logp*logq = 14.88780723751436879 -------------- ************************************* p = 19; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3263258.001959836910 -------------- Searches starting with [19,163]-exponents: u = 19, v = 4 n_start has 34 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(19,163) = 0.7043794449730952771 D2(19,163) = 0.06847813899194515106 C1(19,163) = 0.8872824593610734632 C2(19,163) = 1.768217962930841244 C3(19,163) = 2.606980264452808552 C4(19,163) = 1304 Sum = 5173.986976420989289 Averaged sum = 0.5169334575303216394 logp*logq = 14.99823664139231439 -------------- ************************************* p = 19; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3504717.501240975248 -------------- Searches starting with [19,167]-exponents: u = 33, v = 4 n_start has 52 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(19,167) = 0.8272735467397018270 D2(19,167) = 0.02700602721246631953 C1(19,167) = 1.035500160716412679 C2(19,167) = 1.560723759687811377 C3(19,167) = 3.059512448504401968 C4(19,167) = 1336 Sum = 5287.984830652551769 Averaged sum = 0.5283229923721202687 logp*logq = 15.06962047641254918 -------------- ************************************* p = 19; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3888572.345176874287 -------------- Searches starting with [19,173]-exponents: u = 7, v = 1405 n_start has 3154 digits --- performed 5000 steps in the continued fraction search [19,173]-exponents: u = 525, v = 1107 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,173) = 0.8081605936067028500 D2(19,173) = 0.6589994974379341689 C1(19,173) = 0.9199436615752705958 C2(19,173) = 1.472657614734475532 C3(19,173) = 2.700573059271984511 C4(19,173) = 1384 Sum = 6940.049361868254055 Averaged sum = 0.6940743436211875242 logp*logq = 15.17355264185003848 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,173) = 0.8081605936067028500 D2(19,173) = 0.6589994974379341689 C1(19,173) = 0.9199436615752705958 C2(19,173) = 1.472657614734475532 C3(19,173) = 2.700573059271984511 C4(19,173) = 1384 Sum = 6940.049361868254055 Averaged sum = 0.6940743436211875242 logp*logq = 15.17355264185003848 -------------- ************************************* p = 19; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4299206.233194788781 -------------- Searches starting with [19,179]-exponents: u = 7, v = 21 n_start has 57 digits starting right neighbors generation We generated 524 left neighbors We generated 9486 right neighbors We generated 10009 non-negative rho_i D1(19,179) = 0.9999435945253143523 D2(19,179) = 0.06856109084543928270 C1(19,179) = 1.299003973144812695 C2(19,179) = 1.849496798618077350 C3(19,179) = 4.066644294693023375 C4(19,179) = 1432 Sum = 3736.281153744781758 Averaged sum = 0.3732921524372846196 logp*logq = 15.27394096669223576 -------------- ************************************* p = 19; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4442186.605692518790 -------------- Searches starting with [19,181]-exponents: u = 7, v = 13 n_start has 39 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(19,181) = 0.7066682745798425182 D2(19,181) = 0.001265443779524813434 C1(19,181) = 0.9310433742212285592 C2(19,181) = 1.663634079904446923 C3(19,181) = 2.733139032679378101 C4(19,181) = 1448 Sum = 5081.058414583789415 Averaged sum = 0.5076489573967218917 logp*logq = 15.30665729194011928 -------------- ************************************* p = 19; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5204314.810754115415 -------------- Searches starting with [19,191]-exponents: u = 7, v = 5 n_start has 21 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(19,191) = 1.285202088907424815 D2(19,191) = 0.03186545249142941292 C1(19,191) = 1.616473599295375565 C2(19,191) = 2.037690162585680141 C3(19,191) = 5.729678497841749725 C4(19,191) = 1528 Sum = 5738.142676549974837 Averaged sum = 0.5732982991857303264 logp*logq = 15.46499861078063963 -------------- ************************************* p = 19; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5366412.218648339572 -------------- Searches starting with [19,193]-exponents: u = 7, v = 5 n_start has 21 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(19,193) = 0.7791156095850890310 D2(19,193) = 0.03794180671631238436 C1(19,193) = 0.9690086343776930794 C2(19,193) = 2.046024807097601156 C3(19,193) = 2.847524888170458515 C4(19,193) = 1544 Sum = 5341.617471010899580 Averaged sum = 0.5336814338106603636 logp*logq = 15.49567012748834292 -------------- ************************************* p = 19; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5700537.312845782775 -------------- Searches starting with [19,197]-exponents: u = 7, v = 5 n_start has 21 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(19,197) = 0.7706047170141256804 D2(19,197) = 0.05011398376916997021 C1(19,197) = 0.9730410269321245419 C2(19,197) = 2.062642169473042591 C3(19,197) = 2.859951913330935721 C4(19,197) = 1576 Sum = 4476.072054489889783 Averaged sum = 0.4472047211999090601 logp*logq = 15.55607099377361470 -------------- ************************************* p = 19; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5872629.542984825991 -------------- Searches starting with [19,199]-exponents: u = 7, v = 5 n_start has 21 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(19,199) = 1.032284459063968302 D2(19,199) = 0.04591326679360587467 C1(19,199) = 1.539935628571053059 C2(19,199) = 1.247199007921445548 C3(19,199) = 5.275137078024891875 C4(19,199) = 1592 Sum = 5526.694171715564793 Averaged sum = 0.5521724619557962627 logp*logq = 15.58581305452857844 -------------- ************************************* p = 19; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6977628.769438443659 -------------- Searches starting with [19,211]-exponents: u = 9, v = 1 n_start has 14 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(19,211) = 0.9789321521441770079 D2(19,211) = 0.07853650679872671801 C1(19,211) = 1.331859777248151593 C2(19,211) = 1.788938772139552928 C3(19,211) = 4.213525658681091553 C4(19,211) = 1688 Sum = 4892.372620681499390 Averaged sum = 0.4887973444581376151 logp*logq = 15.75821969917588068 -------------- ************************************* p = 19; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8211838.010163749509 -------------- Searches starting with [19,223]-exponents: u = 11, v = 1 n_start has 17 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(19,223) = 0.8945828767782899729 D2(19,223) = 0.08469560156914809002 C1(19,223) = 1.103911412305504734 C2(19,223) = 1.405927779244905687 C3(19,223) = 3.294103773980899715 C4(19,223) = 1784 Sum = 5736.337139895778764 Averaged sum = 0.5731179078724926330 logp*logq = 15.92108733093562557 -------------- ************************************* p = 19; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8653152.743351539938 -------------- Searches starting with [19,227]-exponents: u = 11, v = 1 n_start has 17 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(19,227) = 0.8566109320114852448 D2(19,227) = 0.04189565731137312596 C1(19,227) = 1.116802003335831756 C2(19,227) = 2.260486649936802506 C3(19,227) = 3.340280950426977896 C4(19,227) = 1816 Sum = 4740.523943707346525 Averaged sum = 0.4736261308529669822 logp*logq = 15.97343429150190462 -------------- ************************************* p = 19; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8879562.708517390830 -------------- Searches starting with [19,229]-exponents: u = 11, v = 1 n_start has 17 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(19,229) = 0.8352455714633661399 D2(19,229) = 0.01466094520394604353 C1(19,229) = 1.119101704726110680 C2(19,229) = 2.235845279226237052 C3(19,229) = 3.348586812970537710 C4(19,229) = 1832 Sum = 5100.167324148209870 Averaged sum = 0.5095581300977330272 logp*logq = 15.99926286921947095 -------------- ************************************* p = 19; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9344047.799950953529 -------------- Searches starting with [19,233]-exponents: u = 11, v = 1 n_start has 17 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(19,233) = 0.7463126070279819663 D2(19,233) = 0.1450537280749264199 C1(19,233) = 0.9101264998826515899 C2(19,233) = 1.968608424629919316 C3(19,233) = 2.672093538815129989 C4(19,233) = 1864 Sum = 5297.083922414156443 Averaged sum = 0.5292320833663858970 logp*logq = 16.05025009961400363 -------------- ************************************* p = 19; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10070417.76862430707 -------------- Searches starting with [19,239]-exponents: u = 13, v = 1 n_start has 20 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(19,239) = 0.8260573351513687961 D2(19,239) = 0.1176426718552713871 C1(19,239) = 1.022871849244341079 C2(19,239) = 1.439535404664356897 C3(19,239) = 3.018071430022134853 C4(19,239) = 1912 Sum = 4696.682290176326372 Averaged sum = 0.4692459077007020053 logp*logq = 16.12511275029143586 -------------- ************************************* p = 19; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10320573.45462436136 -------------- Searches starting with [19,241]-exponents: u = 13, v = 1 n_start has 20 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(19,241) = 1.034413771561139520 D2(19,241) = 0.1073829488085176362 C1(19,241) = 1.279717364033511121 C2(19,241) = 2.229293163960718540 C3(19,241) = 3.982820352574844785 C4(19,241) = 1928 Sum = 5590.747066585675781 Averaged sum = 0.5585719918658882787 logp*logq = 16.14964988378244723 -------------- ************************************* p = 19; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11633029.85881416078 -------------- Searches starting with [19,251]-exponents: u = 15, v = 1 n_start has 22 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(19,251) = 0.8651634782618271354 D2(19,251) = 0.1355831608873589742 C1(19,251) = 1.210174021963287404 C2(19,251) = 1.385437598774362486 C3(19,251) = 3.694661987713355759 C4(19,251) = 2008 Sum = 5365.036944727314473 Averaged sum = 0.5360212753249390022 logp*logq = 16.26935901152939782 -------------- ************************************* p = 19; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12470992.71472957491 -------------- Searches starting with [19,257]-exponents: u = 15, v = 1 n_start has 22 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(19,257) = 1.303483248408537659 D2(19,257) = 0.07347491840827507492 C1(19,257) = 1.665180126823023133 C2(19,257) = 2.124716547099608580 C3(19,257) = 6.039121117169663936 C4(19,257) = 2056 Sum = 6079.631365010760085 Averaged sum = 0.6074164616855590054 logp*logq = 16.33891592272578908 -------------- ************************************* p = 19; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13347872.01211776848 -------------- Searches starting with [19,263]-exponents: u = 17, v = 1 n_start has 25 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(19,263) = 0.7216012385358665091 D2(19,263) = 0.1759061503757963043 C1(19,263) = 0.8723170252186645650 C2(19,263) = 2.162040252308802870 C3(19,263) = 2.565186328099478631 C4(19,263) = 2104 Sum = 5133.962401165329078 Averaged sum = 0.5129345989774531999 logp*logq = 16.40686753026366208 -------------- ************************************* p = 19; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14264525.27805666585 -------------- Searches starting with [19,269]-exponents: u = 19, v = 1 n_start has 27 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(19,269) = 1.462685592647171588 D2(19,269) = 0.05598684121689439406 C1(19,269) = 1.999148039015870318 C2(19,269) = 2.047976181646976670 C3(19,269) = 8.661748008713747839 C4(19,269) = 2152 Sum = 2233.462103301181487 Averaged sum = 0.2231453794885784281 logp*logq = 16.47328626328570690 -------------- ************************************* p = 19; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14579063.08395307821 -------------- Searches starting with [19,271]-exponents: u = 19, v = 1 n_start has 27 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(19,271) = 0.7119512502710819519 D2(19,271) = 0.02270598316521747385 C1(19,271) = 0.8884260192125654111 C2(19,271) = 2.016618082265438177 C3(19,271) = 2.610201746662679162 C4(19,271) = 2168 Sum = 5113.617511466040564 Averaged sum = 0.5109019394011430276 logp*logq = 16.49509702212012963 -------------- ************************************* p = 19; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15550080.36483007384 -------------- Searches starting with [19,277]-exponents: u = 21, v = 1 n_start has 30 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(19,277) = 0.8386785505640480952 D2(19,277) = 0.07182496146214391942 C1(19,277) = 1.136165047279776817 C2(19,277) = 2.012101096570642343 C3(19,277) = 3.410863298039942691 C4(19,277) = 2216 Sum = 5097.701428201984235 Averaged sum = 0.5093117622341876546 logp*logq = 16.55957636473243722 -------------- ************************************* p = 19; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16220578.41713265317 -------------- Searches starting with [19,281]-exponents: u = 21, v = 1 n_start has 30 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(19,281) = 1.031444584621204709 D2(19,281) = 0.001724641302927624870 C1(19,281) = 1.278983028129113909 C2(19,281) = 1.945611888682585971 C3(19,281) = 3.979663137339270434 C4(19,281) = 2248 Sum = 5197.711572646378162 Averaged sum = 0.5193037838591645680 logp*logq = 16.60179126675138734 -------------- ************************************* p = 19; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16562868.32965405549 -------------- Searches starting with [19,283]-exponents: u = 23, v = 1 n_start has 32 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(19,283) = 0.8893781412964220986 D2(19,283) = 0.09991267453981770054 C1(19,283) = 1.195695316146106145 C2(19,283) = 1.995288222766161251 C3(19,283) = 3.637342208895889857 C4(19,283) = 2264 Sum = 4819.276286378480453 Averaged sum = 0.4814942837824438458 logp*logq = 16.62267390023500288 -------------- ************************************* p = 19; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18345991.07158466879 -------------- Searches starting with [19,293]-exponents: u = 27, v = 1 n_start has 37 digits starting right neighbors generation We generated 118 left neighbors We generated 9892 right neighbors We generated 10009 non-negative rho_i D1(19,293) = 0.8638720012229481832 D2(19,293) = 0.02181842549480873283 C1(19,293) = 1.146929452332908237 C2(19,293) = 1.882208539532261402 C3(19,293) = 3.450744841524599529 C4(19,293) = 2344 Sum = 4764.442241280251416 Averaged sum = 0.4760158098991159372 logp*logq = 16.72492163838339039 -------------- ************************************* p = 19; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21048792.13628492248 -------------- Searches starting with [19,307]-exponents: u = 35, v = 1 n_start has 48 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(19,307) = 0.8125044741047710082 D2(19,307) = 0.007833168816233919165 C1(19,307) = 0.9763100034170071257 C2(19,307) = 1.777115128083052068 C3(19,307) = 2.870066036374353559 C4(19,307) = 2456 Sum = 4959.775570649925491 Averaged sum = 0.4955315786442127576 logp*logq = 16.86235373574727567 -------------- ************************************* p = 19; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21866579.58759795199 -------------- Searches starting with [19,311]-exponents: u = 37, v = 1 n_start has 50 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(19,311) = 1.667076061406283624 D2(19,311) = 0.06356330381492708601 C1(19,311) = 2.024495733083393630 C2(19,311) = 1.783719326652123261 C3(19,311) = 8.902124796832945575 C4(19,311) = 2488 Sum = 5969.213773302659880 Averaged sum = 0.5963846311622199900 logp*logq = 16.90046998296379459 -------------- ************************************* p = 19; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22283223.77966387671 -------------- Searches starting with [19,313]-exponents: u = 39, v = 1 n_start has 53 digits starting right neighbors generation We generated 205 left neighbors We generated 9805 right neighbors We generated 10009 non-negative rho_i D1(19,313) = 0.7444709920726109617 D2(19,313) = 0.01408683518722557287 C1(19,313) = 0.9121125374563854105 C2(19,313) = 1.735653057321509694 C3(19,313) = 2.677830683858302406 C4(19,313) = 2504 Sum = 5320.469931805417953 Averaged sum = 0.5315685814572302880 logp*logq = 16.91934465643699190 -------------- ************************************* p = 19; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23132170.29690212587 -------------- Searches starting with [19,317]-exponents: u = 43, v = 1 n_start has 58 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(19,317) = 0.8849109589637347676 D2(19,317) = 0.03969466969218832600 C1(19,317) = 1.080323196355086612 C2(19,317) = 1.720502819467007107 C3(19,317) = 3.211251668887345735 C4(19,317) = 2536 Sum = 5433.472734538565950 Averaged sum = 0.5428587006232956289 logp*logq = 16.95673486019502326 -------------- ************************************* p = 19; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26271191.22797787835 -------------- Searches starting with [19,331]-exponents: u = 65, v = 1 n_start has 86 digits starting right neighbors generation We generated 513 left neighbors We generated 9497 right neighbors We generated 10009 non-negative rho_i D1(19,331) = 0.9879872933574577281 D2(19,331) = 0.001775866785595046691 C1(19,331) = 1.241740084208244835 C2(19,331) = 1.568324486904937431 C3(19,331) = 3.822779746005575759 C4(19,331) = 2648 Sum = 5976.167505942502745 Averaged sum = 0.5970793791530125632 logp*logq = 17.08398350619808508 -------------- ************************************* p = 19; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27698229.22200538775 -------------- Searches starting with [19,337]-exponents: u = 83, v = 1 n_start has 109 digits starting right neighbors generation We generated 802 left neighbors We generated 9208 right neighbors We generated 10009 non-negative rho_i D1(19,337) = 0.7750159428252200622 D2(19,337) = 0.007259425075954599828 C1(19,337) = 0.9634089088907901250 C2(19,337) = 1.506341876300666502 C3(19,337) = 2.830357165645991749 C4(19,337) = 2696 Sum = 5506.688995753451917 Averaged sum = 0.5501737432064593782 logp*logq = 17.13687904211073335 -------------- ************************************* p = 19; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30188749.62241166873 -------------- Searches starting with [19,347]-exponents: u = 147, v = 1 n_start has 191 digits starting right neighbors generation We generated 2450 left neighbors We generated 7560 right neighbors We generated 10009 non-negative rho_i D1(19,347) = 0.6649654890998817475 D2(19,347) = 0.001115738679421413547 C1(19,347) = 0.8088625136047542328 C2(19,347) = 1.364356310572497827 C3(19,347) = 2.395292685388919522 C4(19,347) = 2776 Sum = 5136.729205064418874 Averaged sum = 0.5132110305789208586 logp*logq = 17.22297988387969406 -------------- ************************************* p = 19; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30703953.83123388734 -------------- Searches starting with [19,349]-exponents: u = 173, v = 1 n_start has 224 digits starting right neighbors generation We generated 3342 left neighbors We generated 6668 right neighbors We generated 10009 non-negative rho_i D1(19,349) = 0.9157387004512729494 D2(19,349) = 0.004619775039567171662 C1(19,349) = 1.107639927475527329 C2(19,349) = 1.331959110597789144 C3(19,349) = 3.307394194619061033 C4(19,349) = 2792 Sum = 5347.554333862631839 Averaged sum = 0.5342745862586304165 logp*logq = 17.23990199355580293 -------------- ************************************* p = 19; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31751712.43690640014 -------------- Searches starting with [19,353]-exponents: u = 261, v = 1 n_start has 337 digits --- performed 5000 steps in the continued fraction search [19,353]-exponents: u = 84, v = 69 --- starting right neighbors generation We generated 7354 left neighbors We generated 2656 right neighbors We generated 10009 non-negative rho_i D1(19,353) = 0.7126642710549124793 D2(19,353) = 0.003814055172609116904 C1(19,353) = 0.8509725404818654866 C2(19,353) = 1.247658489639621356 C3(19,353) = 2.506734271284195473 C4(19,353) = 2824 Sum = 5748.268028950029948 Averaged sum = 0.5743099239634359024 logp*logq = 17.27345721686920785 -------------- ************************************* p = 19; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33367194.26624463524 -------------- Searches starting with [19,359]-exponents: u = 1057, v = 1 n_start has 1355 digits --- performed 5000 steps in the continued fraction search [19,359]-exponents: u = 524, v = 263 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,359) = 0.6465997835987885914 D2(19,359) = 0.3566390603255230098 C1(19,359) = 0.7471150215271975921 C2(19,359) = 1.348649623918463601 C3(19,359) = 2.240778126831758378 C4(19,359) = 2872 Sum = 6454.517297979212679 Averaged sum = 0.6455162814260638743 logp*logq = 17.32308376766749208 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,359) = 0.6465997835987885914 D2(19,359) = 0.3566390603255230098 C1(19,359) = 0.7471150215271975921 C2(19,359) = 1.348649623918463601 C3(19,359) = 2.240778126831758378 C4(19,359) = 2872 Sum = 6454.517297979212679 Averaged sum = 0.6455162814260638743 logp*logq = 17.32308376766749208 -------------- ************************************* p = 19; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35604322.66033668525 -------------- Searches starting with [19,367]-exponents: u = 2, v = 178 n_start has 460 digits --- performed 5000 steps in the continued fraction search [19,367]-exponents: u = 67, v = 131 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,367) = 0.6568045240111311248 D2(19,367) = 0.06820699015895690154 C1(19,367) = 0.7774796333118012888 C2(19,367) = 1.245360082635615861 C3(19,367) = 2.315474151246342319 C4(19,367) = 2936 Sum = 5935.793809873982289 Averaged sum = 0.5936387448618844173 logp*logq = 17.38797761149424317 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,367) = 0.6568045240111311248 D2(19,367) = 0.06820699015895690154 C1(19,367) = 0.7774796333118012888 C2(19,367) = 1.245360082635615861 C3(19,367) = 2.315474151246342319 C4(19,367) = 2936 Sum = 5935.793809873982289 Averaged sum = 0.5936387448618844173 logp*logq = 17.38797761149424317 -------------- ************************************* p = 19; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37345624.60844309085 -------------- Searches starting with [19,373]-exponents: u = 2, v = 90 n_start has 235 digits starting right neighbors generation We generated 3633 left neighbors We generated 6377 right neighbors We generated 10009 non-negative rho_i D1(19,373) = 1.046824989513504525 D2(19,373) = 0.001678700813995779899 C1(19,373) = 1.264289003823581989 C2(19,373) = 1.330776056315364805 C3(19,373) = 3.917010875291155479 C4(19,373) = 2984 Sum = 5387.651966109303456 Averaged sum = 0.5382807439413831008 logp*logq = 17.43572631699006001 -------------- ************************************* p = 19; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39142251.49636324827 -------------- Searches starting with [19,379]-exponents: u = 2, v = 60 n_start has 158 digits starting right neighbors generation We generated 1587 left neighbors We generated 8423 right neighbors We generated 10009 non-negative rho_i D1(19,379) = 0.6330178510235037280 D2(19,379) = 0.01286957433396119857 C1(19,379) = 0.7750754927847201216 C2(19,379) = 1.433831335608118276 C3(19,379) = 2.309470339930447142 C4(19,379) = 3032 Sum = 5424.905472610354609 Averaged sum = 0.5420027447907238095 logp*logq = 17.48271304245668031 -------------- ************************************* p = 19; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40371153.74103574060 -------------- Searches starting with [19,383]-exponents: u = 2, v = 49 n_start has 130 digits starting right neighbors generation We generated 1040 left neighbors We generated 8970 right neighbors We generated 10009 non-negative rho_i D1(19,383) = 0.7558947039512592006 D2(19,383) = 0.02105924183193669081 C1(19,383) = 0.9327708050909749019 C2(19,383) = 1.491498878464732291 C3(19,383) = 2.738242419044804875 C4(19,383) = 3064 Sum = 5520.375258224668903 Averaged sum = 0.5515411387975490961 logp*logq = 17.51362607158933101 -------------- ************************************* p = 19; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42261855.44700486971 -------------- Searches starting with [19,389]-exponents: u = 2, v = 39 n_start has 104 digits starting right neighbors generation We generated 688 left neighbors We generated 9322 right neighbors We generated 10009 non-negative rho_i D1(19,389) = 0.7105075111537507943 D2(19,389) = 0.02546942946173790363 C1(19,389) = 0.8616924934177472664 C2(19,389) = 1.561728242237157578 C3(19,389) = 2.535922540654718153 C4(19,389) = 3112 Sum = 5055.221069026963528 Averaged sum = 0.5050675461111962761 logp*logq = 17.55939547470196906 -------------- ************************************* p = 19; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44872479.39406738394 -------------- Searches starting with [19,397]-exponents: u = 2, v = 30 n_start has 81 digits starting right neighbors generation We generated 423 left neighbors We generated 9587 right neighbors We generated 10009 non-negative rho_i D1(19,397) = 1.157196136167937534 D2(19,397) = 0.01226094593951804073 C1(19,397) = 1.458822167207582410 C2(19,397) = 1.629001817709207363 C3(19,397) = 4.832716607244651345 C4(19,397) = 3176 Sum = 6473.204189920655961 Averaged sum = 0.6467383544730398601 logp*logq = 17.61933523370361747 -------------- ************************************* p = 19; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46216787.97742434399 -------------- Searches starting with [19,401]-exponents: u = 2, v = 28 n_start has 76 digits starting right neighbors generation We generated 393 left neighbors We generated 9617 right neighbors We generated 10009 non-negative rho_i D1(19,401) = 1.203189331187534656 D2(19,401) = 0.02548845215954545683 C1(19,401) = 1.524567942354192647 C2(19,401) = 1.671818698929109627 C3(19,401) = 5.188314160337205188 C4(19,401) = 3208 Sum = 3713.920817695656357 Averaged sum = 0.3710581294530578836 logp*logq = 17.64885366618157499 -------------- ************************************* p = 19; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48984638.89838793052 -------------- Searches starting with [19,409]-exponents: u = 2, v = 23 n_start has 63 digits starting right neighbors generation We generated 244 left neighbors We generated 9766 right neighbors We generated 10009 non-negative rho_i D1(19,409) = 0.6781378936322345070 D2(19,409) = 0.05411488005316368621 C1(19,409) = 0.8385870336874572767 C2(19,409) = 1.752957135431275645 C3(19,409) = 2.473429090063948459 C4(19,409) = 3272 Sum = 5075.123376328162562 Averaged sum = 0.5070559872442963894 logp*logq = 17.70701731505641837 -------------- ************************************* p = 19; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52595571.79694899551 -------------- Searches starting with [19,419]-exponents: u = 2, v = 19 n_start has 53 digits starting right neighbors generation We generated 168 left neighbors We generated 9842 right neighbors We generated 10009 non-negative rho_i D1(19,419) = 0.7968524492288011657 D2(19,419) = 0.06205623789384194343 C1(19,419) = 0.9659967912880450058 C2(19,419) = 1.826434780218704257 C3(19,419) = 2.838278232579491762 C4(19,419) = 3352 Sum = 5110.676974135581528 Averaged sum = 0.5106081500784875140 logp*logq = 17.77814248779427599 -------------- ************************************* p = 19; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53338217.17055093771 -------------- Searches starting with [19,421]-exponents: u = 2, v = 19 n_start has 53 digits starting right neighbors generation We generated 200 left neighbors We generated 9810 right neighbors We generated 10009 non-negative rho_i D1(19,421) = 0.7919649152178203117 D2(19,421) = 0.02495525621749253483 C1(19,421) = 1.025427443790468697 C2(19,421) = 1.814408270363592640 C3(19,421) = 3.026412308529400486 C4(19,421) = 3368 Sum = 4627.230955444880508 Averaged sum = 0.4623070192271835856 logp*logq = 17.79216365228536654 -------------- ************************************* p = 19; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57155438.88900592325 -------------- Searches starting with [19,431]-exponents: u = 2, v = 16 n_start has 45 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(19,431) = 0.7086643349090859460 D2(19,431) = 0.02459682009432302842 C1(19,431) = 0.8575078269645870704 C2(19,431) = 1.874040501678087724 C3(19,431) = 2.524488314130783759 C4(19,431) = 3448 Sum = 5164.482925232459028 Averaged sum = 0.5159839070069396571 logp*logq = 17.86128511233836496 -------------- ************************************* p = 19; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57939898.50782900198 -------------- Searches starting with [19,433]-exponents: u = 2, v = 16 n_start has 45 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(19,433) = 0.7695790241741993956 D2(19,433) = 0.05451786191458401124 C1(19,433) = 0.9319634469763093185 C2(19,433) = 1.904703747434272094 C3(19,433) = 2.735856038518466259 C4(19,433) = 3464 Sum = 4890.788738919427414 Averaged sum = 0.4886390987031099424 logp*logq = 17.87491679862684729 -------------- ************************************* p = 19; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60335863.76711254170 -------------- Searches starting with [19,439]-exponents: u = 2, v = 15 n_start has 43 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10009 non-negative rho_i D1(19,439) = 1.016541509918800446 D2(19,439) = 0.04678153369966143066 C1(19,439) = 1.336233212252768769 C2(19,439) = 1.932137150677346304 C3(19,439) = 4.233473008309239363 C4(19,439) = 3512 Sum = 2930.923737935342200 Averaged sum = 0.2928288278484705964 logp*logq = 17.91543724057386366 -------------- ************************************* p = 19; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61968971.19827158847 -------------- Searches starting with [19,443]-exponents: u = 2, v = 14 n_start has 40 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(19,443) = 0.6824067537528167755 D2(19,443) = 0.0001497984433519226906 C1(19,443) = 0.8296792255256500960 C2(19,443) = 1.924062536021221923 C3(19,443) = 2.449749509669523066 C4(19,443) = 3544 Sum = 5142.283954886208738 Averaged sum = 0.5137660060831460423 logp*logq = 17.94214435319118052 -------------- ************************************* p = 19; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64472945.05964257499 -------------- Searches starting with [19,449]-exponents: u = 2, v = 13 n_start has 38 digits starting right neighbors generation We generated 92 left neighbors We generated 9918 right neighbors We generated 10009 non-negative rho_i D1(19,449) = 1.346198169899539059 D2(19,449) = 0.07587666956410763489 C1(19,449) = 1.707355194217119880 C2(19,449) = 2.001998372635315959 C3(19,449) = 6.320536653100852204 C4(19,449) = 3592 Sum = 5786.186340847666491 Averaged sum = 0.5780983455737502739 logp*logq = 17.98175623732989055 -------------- ************************************* p = 19; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67914254.97405466574 -------------- Searches starting with [19,457]-exponents: u = 2, v = 12 n_start has 35 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(19,457) = 1.007875936942280005 D2(19,457) = 0.05437483493284984297 C1(19,457) = 1.283339498664232574 C2(19,457) = 2.025635427817471430 C3(19,457) = 3.998430100102277963 C4(19,457) = 3656 Sum = 4834.565961001495750 Averaged sum = 0.4830218764113793336 logp*logq = 18.03375651120218510 -------------- ************************************* p = 19; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69679469.18214918676 -------------- Searches starting with [19,461]-exponents: u = 2, v = 12 n_start has 35 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(19,461) = 1.065557328043378204 D2(19,461) = 0.1044117622517519962 C1(19,461) = 1.423062386344715000 C2(19,461) = 2.077123218691785072 C3(19,461) = 4.649646114874973888 C4(19,461) = 3688 Sum = 3366.132297015687959 Averaged sum = 0.3363105502063830511 logp*logq = 18.05941627254249546 -------------- ************************************* p = 19; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70573323.82357474776 -------------- Searches starting with [19,463]-exponents: u = 2, v = 11 n_start has 32 digits starting right neighbors generation We generated 58 left neighbors We generated 9952 right neighbors We generated 10009 non-negative rho_i D1(19,463) = 1.053949518802126828 D2(19,463) = 0.1317888886141838806 C1(19,463) = 1.281712381328994036 C2(19,463) = 2.105221035327639141 C3(19,463) = 3.991410412655996707 C4(19,463) = 3704 Sum = 5517.777879138120360 Averaged sum = 0.5512816344428135038 logp*logq = 18.07216278153591495 -------------- ************************************* p = 19; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72383681.98981047570 -------------- Searches starting with [19,467]-exponents: u = 2, v = 11 n_start has 32 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(19,467) = 0.6887656558926506311 D2(19,467) = 0.03349912101437165876 C1(19,467) = 0.8809051582809188121 C2(19,467) = 2.057088930895333077 C3(19,467) = 2.589087768073890455 C4(19,467) = 3736 Sum = 4905.046764645208526 Averaged sum = 0.4900636192072343417 logp*logq = 18.09749144507143379 -------------- ************************************* p = 19; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77998160.94607652415 -------------- Searches starting with [19,479]-exponents: u = 2, v = 10 n_start has 30 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(19,479) = 0.7216020240053872482 D2(19,479) = 0.005738078034439514071 C1(19,479) = 0.8877118990606578238 C2(19,479) = 2.090759681974095014 C3(19,479) = 2.608189557462166707 C4(19,479) = 3832 Sum = 4953.472154529284969 Averaged sum = 0.4949018038294819631 logp*logq = 18.17219580676150599 -------------- ************************************* p = 19; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81896441.40423926428 -------------- Searches starting with [19,487]-exponents: u = 2, v = 9 n_start has 27 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(19,487) = 0.9930111610127767188 D2(19,487) = 0.07874054747119607878 C1(19,487) = 1.215482119708824764 C2(19,487) = 2.166613096953835405 C3(19,487) = 3.715901760900682070 C4(19,487) = 3896 Sum = 5059.539284284467672 Averaged sum = 0.5054989793470344362 logp*logq = 18.22096609738160854 -------------- ************************************* p = 19; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83892906.61089894796 -------------- Searches starting with [19,491]-exponents: u = 2, v = 9 n_start has 27 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(19,491) = 0.9098377205522794044 D2(19,491) = 0.1197046606357195181 C1(19,491) = 1.108382892561360724 C2(19,491) = 2.208985067783512293 C3(19,491) = 3.310048919398503334 C4(19,491) = 3928 Sum = 5285.566115145617654 Averaged sum = 0.5280813383100826910 logp*logq = 18.24505162210518271 -------------- ************************************* p = 19; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87981713.57261461428 -------------- Searches starting with [19,499]-exponents: u = 2, v = 9 n_start has 27 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(19,499) = 0.8603741868098881029 D2(19,499) = 0.007773004168738746277 C1(19,499) = 1.175988851592006392 C2(19,499) = 2.168283674331495853 C3(19,499) = 3.560752435680621923 C4(19,499) = 3992 Sum = 4794.525615350662339 Averaged sum = 0.4790214422370528863 logp*logq = 18.29263955053780687 -------------- ************************************* p = 19; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90074545.63247624169 -------------- Searches starting with [19,503]-exponents: u = 2, v = 8 n_start has 25 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(19,503) = 0.9085204721587488819 D2(19,503) = 0.03822866358155479539 C1(19,503) = 1.104329900443566550 C2(19,503) = 2.200142005811342273 C3(19,503) = 3.295592824626818444 C4(19,503) = 4024 Sum = 4997.480286833629265 Averaged sum = 0.4992986598894624103 logp*logq = 18.31614817026127033 -------------- ************************************* p = 19; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93275018.51401034673 -------------- Searches starting with [19,509]-exponents: u = 2, v = 8 n_start has 25 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(19,509) = 0.9731346882820988086 D2(19,509) = 0.08731800304792416389 C1(19,509) = 1.190076342066126125 C2(19,509) = 2.251314456857383559 C3(19,509) = 3.615337526669617022 C4(19,509) = 4072 Sum = 5204.612737528105612 Averaged sum = 0.5199932798009896705 logp*logq = 18.35106287555992780 -------------- ************************************* p = 19; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99899402.92365200375 -------------- Searches starting with [19,521]-exponents: u = 2, v = 8 n_start has 25 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(19,521) = 1.189821612905794681 D2(19,521) = 0.1074198197831473110 C1(19,521) = 1.643368777200384577 C2(19,521) = 1.207776485463054260 C3(19,521) = 5.898535002169519810 C4(19,521) = 4168 Sum = 3706.863424898419354 Averaged sum = 0.3703530247675511394 logp*logq = 18.41967426686070097 -------------- ************************************* p = 19; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101032788.0276527666 -------------- Searches starting with [19,523]-exponents: u = 2, v = 7 n_start has 22 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(19,523) = 0.9822456952568763072 D2(19,523) = 0.1283954487376261695 C1(19,523) = 1.356642174491319780 C2(19,523) = 1.357144014160597430 C3(19,523) = 4.327814629637883190 C4(19,523) = 4184 Sum = 4911.098587816693435 Averaged sum = 0.4906682573500542946 logp*logq = 18.43095565606049439 -------------- ************************************* p = 19; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111617570.4551325783 -------------- Searches starting with [19,541]-exponents: u = 2, v = 7 n_start has 22 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(19,541) = 0.6714929326345095615 D2(19,541) = 0.1051241463754728128 C1(19,541) = 0.8260663141350921621 C2(19,541) = 2.364182579867431679 C3(19,541) = 2.440210068515707191 C4(19,541) = 4328 Sum = 5046.102772285006456 Averaged sum = 0.5041565363457894351 logp*logq = 18.53058903687312995 -------------- ************************************* p = 19; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115301938.2982090347 -------------- Searches starting with [19,547]-exponents: u = 2, v = 7 n_start has 22 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(19,547) = 0.8771872976800813051 D2(19,547) = 0.1058225143116724552 C1(19,547) = 1.227096440590733813 C2(19,547) = 1.443724037740835044 C3(19,547) = 3.762802033254686449 C4(19,547) = 4376 Sum = 5113.312949680748364 Averaged sum = 0.5108715106085271619 logp*logq = 18.56306479601046643 -------------- ************************************* p = 19; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121619459.1702552474 -------------- Searches starting with [19,557]-exponents: u = 2, v = 6 n_start has 20 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(19,557) = 0.6988656699222617933 D2(19,557) = 0.1424289531801412440 C1(19,557) = 0.8747717322470930947 C2(19,557) = 2.101762515421878186 C3(19,557) = 2.571995358014592453 C4(19,557) = 4456 Sum = 4957.349096571699099 Averaged sum = 0.4952891494226894893 logp*logq = 18.61640754076471287 -------------- ************************************* p = 19; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125517456.5721097134 -------------- Searches starting with [19,563]-exponents: u = 2, v = 6 n_start has 20 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(19,563) = 1.050123810892298464 D2(19,563) = 0.1353741051668770569 C1(19,563) = 1.289566798447454450 C2(19,563) = 2.096869926055888978 C3(19,563) = 4.025410060633406635 C4(19,563) = 4504 Sum = 5421.165864257927413 Averaged sum = 0.5416291202175969040 logp*logq = 18.64795540305524359 -------------- ************************************* p = 19; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129497072.0781182310 -------------- Searches starting with [19,569]-exponents: u = 2, v = 6 n_start has 20 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(19,569) = 0.8228780111786056437 D2(19,569) = 0.01354247829860679662 C1(19,569) = 1.089560629196966389 C2(19,569) = 2.389188714801443153 C3(19,569) = 3.243446379671956786 C4(19,569) = 4552 Sum = 4783.469240454076726 Averaged sum = 0.4779167989263739361 logp*logq = 18.67916882941288895 -------------- ************************************* p = 19; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130841889.8950228339 -------------- Searches starting with [19,571]-exponents: u = 2, v = 6 n_start has 20 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(19,571) = 0.6735641198322700565 D2(19,571) = 0.02377337988080704076 C1(19,571) = 0.8325674366158628416 C2(19,571) = 2.400070095299213833 C3(19,571) = 2.457402285226594381 C4(19,571) = 4568 Sum = 5005.418406338074013 Averaged sum = 0.5000917580515609964 logp*logq = 18.68950020485162204 -------------- ************************************* p = 19; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134931606.9572418113 -------------- Searches starting with [19,577]-exponents: u = 2, v = 6 n_start has 20 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(19,577) = 0.6647685885560470197 D2(19,577) = 0.05544943668042606413 C1(19,577) = 0.8224135536742902199 C2(19,577) = 2.433683921939280172 C3(19,577) = 2.430603174203525802 C4(19,577) = 4616 Sum = 4932.612700560703010 Averaged sum = 0.4928177340953844550 logp*logq = 18.72027859289835676 -------------- ************************************* p = 19; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141933837.3252756207 -------------- Searches starting with [19,587]-exponents: u = 2, v = 6 n_start has 20 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(19,587) = 0.9817546599167888675 D2(19,587) = 0.07171945843153762691 C1(19,587) = 1.395218028122786173 C2(19,587) = 1.366389821345119335 C3(19,587) = 4.511914120298870871 C4(19,587) = 4696 Sum = 5043.195587656102469 Averaged sum = 0.5038660792942454260 logp*logq = 18.77087157265536133 -------------- ************************************* p = 19; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 146248132.9680221952 -------------- Searches starting with [19,593]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(19,593) = 0.9275064114862184862 D2(19,593) = 0.08378093218348308906 C1(19,593) = 1.318013593927946646 C2(19,593) = 1.421850698007320778 C3(19,593) = 4.150990577368357063 C4(19,593) = 4744 Sum = 5221.506428476877434 Averaged sum = 0.5216811298308399874 logp*logq = 18.80081527796413605 -------------- ************************************* p = 19; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150648148.2090483240 -------------- Searches starting with [19,599]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(19,599) = 0.6511101664441610658 D2(19,599) = 0.1013774204715216866 C1(19,599) = 0.7936067716094872502 C2(19,599) = 2.163615828694778645 C3(19,599) = 2.356153638582779889 C4(19,599) = 4792 Sum = 4930.414628032781818 Averaged sum = 0.4925981244912360693 logp*logq = 18.83045753145739229 -------------- ************************************* p = 19; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152134010.3066184108 -------------- Searches starting with [19,601]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(19,601) = 0.9008257845627386504 D2(19,601) = 0.09933579605511815689 C1(19,601) = 1.106609250344824059 C2(19,601) = 2.162275471502725295 C3(19,601) = 3.303714957083052545 C4(19,601) = 4808 Sum = 5219.565723000815328 Averaged sum = 0.5214872337896708291 logp*logq = 18.84027233714240353 -------------- ************************************* p = 19; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156649592.1064098581 -------------- Searches starting with [19,607]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(19,607) = 1.534647231605149105 D2(19,607) = 0.09331260049730427698 C1(19,607) = 1.993614637903147963 C2(19,607) = 2.158341860149202994 C3(19,607) = 8.610143023852882593 C4(19,607) = 4856 Sum = 5985.068056674008821 Averaged sum = 0.5979686338968936778 logp*logq = 18.86952197150597187 -------------- ************************************* p = 19; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161252803.5564646471 -------------- Searches starting with [19,613]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(19,613) = 0.6792964905878651661 D2(19,613) = 0.08743620947056756121 C1(19,613) = 0.8185532224201063270 C2(19,613) = 2.154534057125922109 C3(19,613) = 2.420491464428307691 C4(19,613) = 4904 Sum = 5036.607431728521071 Averaged sum = 0.5032078561023599831 logp*logq = 18.89848389988569431 -------------- ************************************* p = 19; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164370698.2194955016 -------------- Searches starting with [19,617]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(19,617) = 1.163685924083485437 D2(19,617) = 0.07575297555998615218 C1(19,617) = 1.559112116149097383 C2(19,617) = 1.950137227147829463 C3(19,617) = 5.385519110089240279 C4(19,617) = 4936 Sum = 3578.990955686030193 Averaged sum = 0.3575772760201848529 logp*logq = 18.91763479002606484 -------------- ************************************* p = 19; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 165944462.4981433062 -------------- Searches starting with [19,619]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(19,619) = 0.7999163186155902182 D2(19,619) = 0.07403549959348405825 C1(19,619) = 0.9711975908726843568 C2(19,619) = 1.949075772979450014 C3(19,619) = 2.854264097920162572 C4(19,619) = 4952 Sum = 5135.509685611191262 Averaged sum = 0.5130891882916566352 logp*logq = 18.92716372707784554 -------------- ************************************* p = 19; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175596392.0030713871 -------------- Searches starting with [19,631]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(19,631) = 1.937974988436717336 D2(19,631) = 0.06006755303911513013 C1(19,631) = 2.370009224234550293 C2(19,631) = 1.823435681525687102 C3(19,631) = 12.92826928668765681 C4(19,631) = 5048 Sum = 6898.184006832860658 Averaged sum = 0.6891981223731502305 logp*logq = 18.98369869227465657 -------------- ************************************* p = 19; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 183917134.1880478355 -------------- Searches starting with [19,641]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(19,641) = 0.7477533183483052289 D2(19,641) = 0.02761088443574554166 C1(19,641) = 0.9272104316189508213 C2(19,641) = 2.569819407925771390 C3(19,641) = 2.721849228196486223 C4(19,641) = 5128 Sum = 5167.924054247423334 Averaged sum = 0.5163277104853055584 logp*logq = 19.02999585645813177 -------------- ************************************* p = 19; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 185611914.5401617875 -------------- Searches starting with [19,643]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(19,643) = 0.9614518063615285427 D2(19,643) = 0.03543747091822696519 C1(19,643) = 1.181498891998931084 C2(19,643) = 2.578245699234855395 C3(19,643) = 3.582003477035439819 C4(19,643) = 5144 Sum = 5761.469464389801231 Averaged sum = 0.5756288804465782027 logp*logq = 19.03916857097668068 -------------- ************************************* p = 19; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189032348.8268150536 -------------- Searches starting with [19,647]-exponents: u = 2, v = 5 n_start has 17 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(19,647) = 1.033870060642396861 D2(19,647) = 0.03548009019808639776 C1(19,647) = 1.499647300536282218 C2(19,647) = 1.338340767068601141 C3(19,647) = 5.050547042550432884 C4(19,647) = 5176 Sum = 5065.763393197772519 Averaged sum = 0.5061208305722622159 logp*logq = 19.05742871619192527 -------------- ************************************* p = 19; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 194240637.1237520227 -------------- Searches starting with [19,653]-exponents: u = 11, v = 4 n_start has 26 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(19,653) = 1.135996415407898452 D2(19,653) = 0.03684037258335388548 C1(19,653) = 1.647604795935213479 C2(19,653) = 1.272435356204670305 C3(19,653) = 5.925579982135394429 C4(19,653) = 5224 Sum = 4996.008816872076542 Averaged sum = 0.4991516452065217846 logp*logq = 19.08460834591524236 -------------- ************************************* p = 19; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199542814.0391810245 -------------- Searches starting with [19,659]-exponents: u = 11, v = 4 n_start has 26 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(19,659) = 0.7775148263726444559 D2(19,659) = 0.04930045066751322439 C1(19,659) = 1.127677111888003678 C2(19,659) = 2.252362025594456652 C3(19,659) = 3.379741235703445060 C4(19,659) = 5272 Sum = 4361.423423935669625 Averaged sum = 0.4357501672430482191 logp*logq = 19.11153937798215264 -------------- ************************************* p = 19; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 201331211.2791179447 -------------- Searches starting with [19,661]-exponents: u = 11, v = 4 n_start has 26 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(19,661) = 0.7364202059461256514 D2(19,661) = 0.04757869491178808468 C1(19,661) = 0.8929275637498672750 C2(19,661) = 2.251313974534012411 C3(19,661) = 2.622921613751156828 C4(19,661) = 5288 Sum = 5094.100691360377276 Averaged sum = 0.5089520123249452768 logp*logq = 19.12046192717105205 -------------- ************************************* p = 19; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 212284257.3365567932 -------------- Searches starting with [19,673]-exponents: u = 11, v = 4 n_start has 26 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(19,673) = 1.407810542467607892 D2(19,673) = 0.03748640724717193274 C1(19,673) = 1.728219839364191561 C2(19,673) = 2.245220675753676125 C3(19,673) = 6.464568268156985405 C4(19,673) = 5384 Sum = 6287.495043601639268 Averaged sum = 0.6281841386353920740 logp*logq = 19.17343677101095866 -------------- ************************************* p = 19; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 216020819.8842206193 -------------- Searches starting with [19,677]-exponents: u = 11, v = 4 n_start has 26 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(19,677) = 0.7719871140787895695 D2(19,677) = 0.03420958504699790632 C1(19,677) = 1.014784578029070128 C2(19,677) = 2.243260674599185760 C3(19,677) = 2.991827593283725345 C4(19,677) = 5416 Sum = 4808.937290950887198 Averaged sum = 0.4804613139125674091 logp*logq = 19.19088534935625354 -------------- ************************************* p = 19; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 221706692.6172443046 -------------- Searches starting with [19,683]-exponents: u = 11, v = 4 n_start has 26 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(19,683) = 0.6478179726186858503 D2(19,683) = 0.02937240066154228245 C1(19,683) = 0.7908748432751894380 C2(19,683) = 2.240383888557818503 C3(19,683) = 2.349212618099937591 C4(19,683) = 5464 Sum = 5025.597408491649066 Averaged sum = 0.5021078437897541279 logp*logq = 19.21686586184963828 -------------- ************************************* p = 19; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 229440374.6681165524 -------------- Searches starting with [19,691]-exponents: u = 11, v = 4 n_start has 26 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(19,691) = 0.7525946601156403788 D2(19,691) = 0.02306315128988430105 C1(19,691) = 1.023964235833777636 C2(19,691) = 2.236661303909140268 C3(19,691) = 3.021633914377725863 C4(19,691) = 5528 Sum = 5028.695532226042511 Averaged sum = 0.5024173775827797493 logp*logq = 19.25115374834192888 -------------- ************************************* p = 19; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239355304.0732914765 -------------- Searches starting with [19,701]-exponents: u = 20, v = 4 n_start has 37 digits starting right neighbors generation We generated 157 left neighbors We generated 9853 right neighbors We generated 10009 non-negative rho_i D1(19,701) = 0.8143418284905988194 D2(19,701) = 0.01386796632689347256 C1(19,701) = 0.9880516822150545659 C2(19,701) = 2.011246719924794411 C3(19,701) = 2.906690336461364121 C4(19,701) = 5608 Sum = 4975.904043031402660 Averaged sum = 0.4971429756250776960 logp*logq = 19.29345963388017821 -------------- ************************************* p = 19; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247487854.4744135532 -------------- Searches starting with [19,709]-exponents: u = 20, v = 4 n_start has 37 digits starting right neighbors generation We generated 157 left neighbors We generated 9853 right neighbors We generated 10009 non-negative rho_i D1(19,709) = 0.7980035769172194758 D2(19,709) = 0.008484405253274932910 C1(19,709) = 0.9824269094051127251 C2(19,709) = 2.008001192317647107 C3(19,709) = 2.889087757381346652 C4(19,709) = 5672 Sum = 4801.962791137485318 Averaged sum = 0.4797644910717839262 logp*logq = 19.32687206593825604 -------------- ************************************* p = 19; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 257907456.0934812939 -------------- Searches starting with [19,719]-exponents: u = 29, v = 4 n_start has 49 digits starting right neighbors generation We generated 234 left neighbors We generated 9776 right neighbors We generated 10009 non-negative rho_i D1(19,719) = 0.8748066836622701131 D2(19,719) = 0.001805091576958542947 C1(19,719) = 1.077800266452561755 C2(19,719) = 1.874456631916383932 C3(19,719) = 3.202514335008606063 C4(19,719) = 5752 Sum = 5326.497372487755553 Averaged sum = 0.5321707835435863276 logp*logq = 19.36811138122653475 -------------- ************************************* p = 19; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 266448610.3614823364 -------------- Searches starting with [19,727]-exponents: u = 38, v = 4 n_start has 61 digits starting right neighbors generation We generated 451 left neighbors We generated 9559 right neighbors We generated 10009 non-negative rho_i D1(19,727) = 0.7797866985724858054 D2(19,727) = 0.06854748982802334720 C1(19,727) = 0.9985158187902370141 C2(19,727) = 2.071902742691580287 C3(19,727) = 2.939723428755991046 C4(19,727) = 5816 Sum = 4629.928887235889906 Averaged sum = 0.4625765698107593072 logp*logq = 19.40069195131152615 -------------- ************************************* p = 19; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 272975595.6351021329 -------------- Searches starting with [19,733]-exponents: u = 56, v = 4 n_start has 84 digits starting right neighbors generation We generated 913 left neighbors We generated 9097 right neighbors We generated 10009 non-negative rho_i D1(19,733) = 0.7556391665071879837 D2(19,733) = 0.04685531525429110902 C1(19,733) = 0.9132908199381944279 C2(19,733) = 2.051959224807849702 C3(19,733) = 2.681240255128786339 C4(19,733) = 5864 Sum = 4958.190893976429219 Averaged sum = 0.4953732534695203535 logp*logq = 19.42489295587540246 -------------- ************************************* p = 19; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 279607297.4100199167 -------------- Searches starting with [19,739]-exponents: u = 83, v = 4 n_start has 118 digits starting right neighbors generation We generated 1876 left neighbors We generated 8134 right neighbors We generated 10009 non-negative rho_i D1(19,739) = 0.8870031953006617707 D2(19,739) = 0.02639660021513044921 C1(19,739) = 1.103777473297845506 C2(19,739) = 2.033234699556690501 C3(19,739) = 3.293627338775406034 C4(19,739) = 5912 Sum = 4388.463621090335736 Averaged sum = 0.4384517555290574219 logp*logq = 19.44889666744693477 -------------- ************************************* p = 19; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 284087007.4563317770 -------------- Searches starting with [19,743]-exponents: u = 110, v = 4 n_start has 153 digits starting right neighbors generation We generated 3163 left neighbors We generated 6847 right neighbors We generated 10009 non-negative rho_i D1(19,743) = 0.7242007716473258064 D2(19,743) = 0.01336187195266234454 C1(19,743) = 1.000351252771970565 C2(19,743) = 2.021348177338935197 C3(19,743) = 2.945556088269860173 C4(19,743) = 5944 Sum = 5150.791998418442312 Averaged sum = 0.5146160454009833462 logp*logq = 19.46479111348838443 -------------- ************************************* p = 19; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 293188087.5114959348 -------------- Searches starting with [19,751]-exponents: u = 461, v = 4 n_start has 602 digits --- performed 5000 steps in the continued fraction search [19,751]-exponents: u = 427, v = 8 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,751) = 0.8768620073936183162 D2(19,751) = 0.3353255112155128030 C1(19,751) = 1.031252660226151792 C2(19,751) = 1.556613199337662611 C3(19,751) = 3.045510744283010571 C4(19,751) = 6008 Sum = 5885.805187129804642 Averaged sum = 0.5886393826512455888 logp*logq = 19.49632489792728826 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,751) = 0.8768620073936183162 D2(19,751) = 0.3353255112155128030 C1(19,751) = 1.031252660226151792 C2(19,751) = 1.556613199337662611 C3(19,751) = 3.045510744283010571 C4(19,751) = 6008 Sum = 5885.805187129804642 Averaged sum = 0.5886393826512455888 logp*logq = 19.49632489792728826 -------------- ************************************* p = 19; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 300138793.4524580877 -------------- Searches starting with [19,757]-exponents: u = 9, v = 167 n_start has 493 digits --- performed 5000 steps in the continued fraction search [19,757]-exponents: u = 95, v = 115 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,757) = 0.7447012075301330859 D2(19,757) = 0.2898416338649694436 C1(19,757) = 0.8803290061682760314 C2(19,757) = 1.557120567039909374 C3(19,757) = 2.587477345940826129 C4(19,757) = 6056 Sum = 5770.728617856362662 Averaged sum = 0.5771305748431205782 logp*logq = 19.51975557047487418 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,757) = 0.7447012075301330859 D2(19,757) = 0.2898416338649694436 C1(19,757) = 0.8803290061682760314 C2(19,757) = 1.557120567039909374 C3(19,757) = 2.587477345940826129 C4(19,757) = 6056 Sum = 5770.728617856362662 Averaged sum = 0.5771305748431205782 logp*logq = 19.51975557047487418 -------------- ************************************* p = 19; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 304832520.7215410842 -------------- Searches starting with [19,761]-exponents: u = 9, v = 75 n_start has 228 digits --- performed 5000 steps in the continued fraction search [19,761]-exponents: u = 45, v = 19 --- starting right neighbors generation We generated 7039 left neighbors We generated 2971 right neighbors We generated 10009 non-negative rho_i D1(19,761) = 0.7777915035135844720 D2(19,761) = 0.01105477035250451523 C1(19,761) = 1.050497157744837325 C2(19,761) = 1.948067490811100352 C3(19,761) = 3.109466301544700130 C4(19,761) = 6088 Sum = 5253.384642069031194 Averaged sum = 0.5248660847306455384 logp*logq = 19.53527307136587529 -------------- ************************************* p = 19; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 314364868.4546545486 -------------- Searches starting with [19,769]-exponents: u = 9, v = 35 n_start has 113 digits starting right neighbors generation We generated 978 left neighbors We generated 9032 right neighbors We generated 10009 non-negative rho_i D1(19,769) = 0.6804369587826746020 D2(19,769) = 0.006343979792353892070 C1(19,769) = 0.9669207138412117419 C2(19,769) = 1.587690395285725562 C3(19,769) = 2.841111568806202510 C4(19,769) = 6152 Sum = 4830.615864118158102 Averaged sum = 0.4826272219120949247 logp*logq = 19.56606487071933048 -------------- ************************************* p = 19; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 319203967.5066251907 -------------- Searches starting with [19,773]-exponents: u = 9, v = 27 n_start has 90 digits starting right neighbors generation We generated 685 left neighbors We generated 9325 right neighbors We generated 10009 non-negative rho_i D1(19,773) = 0.8788005963492810771 D2(19,773) = 0.01268367026558503869 C1(19,773) = 1.073466672071659504 C2(19,773) = 1.666699274197525645 C3(19,773) = 3.187561814552386186 C4(19,773) = 6184 Sum = 5283.385286906290569 Averaged sum = 0.5278634515842032739 logp*logq = 19.58134085299471562 -------------- ************************************* p = 19; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 336527752.1546109265 -------------- Searches starting with [19,787]-exponents: u = 9, v = 15 n_start has 55 digits starting right neighbors generation We generated 313 left neighbors We generated 9697 right neighbors We generated 10009 non-negative rho_i D1(19,787) = 1.141896237079780102 D2(19,787) = 0.03819871516608775965 C1(19,787) = 1.425784919558794793 C2(19,787) = 1.876544173491092120 C3(19,787) = 4.663336718004663034 C4(19,787) = 6296 Sum = 5714.714331821473489 Averaged sum = 0.5709575713679162242 logp*logq = 19.63419117661896010 -------------- ************************************* p = 19; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 349274579.0804195816 -------------- Searches starting with [19,797]-exponents: u = 9, v = 11 n_start has 44 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(19,797) = 0.7597697141628410010 D2(19,797) = 0.05932712414493176404 C1(19,797) = 0.9609970539705326258 C2(19,797) = 2.005466879381395966 C3(19,797) = 2.822994791847124495 C4(19,797) = 6376 Sum = 4506.894243423687905 Averaged sum = 0.4502841685906372170 logp*logq = 19.67136893037639825 -------------- ************************************* p = 19; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 364986647.2670008155 -------------- Searches starting with [19,809]-exponents: u = 9, v = 7 n_start has 32 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10009 non-negative rho_i D1(19,809) = 0.7279753351512713545 D2(19,809) = 0.08993354758512624597 C1(19,809) = 0.9722077718165684717 C2(19,809) = 2.202077510140596870 C3(19,809) = 2.857379550442533456 C4(19,809) = 6472 Sum = 4971.109540743588354 Averaged sum = 0.4966639565134966883 logp*logq = 19.71537132804746281 -------------- ************************************* p = 19; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 367649851.0415813896 -------------- Searches starting with [19,811]-exponents: u = 9, v = 7 n_start has 32 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10009 non-negative rho_i D1(19,811) = 0.7725345913087012194 D2(19,811) = 0.09432556340031648678 C1(19,811) = 0.9574845703060494022 C2(19,811) = 2.206945639973754316 C3(19,811) = 2.812306904465473226 C4(19,811) = 6488 Sum = 4593.752060719823364 Averaged sum = 0.4589621401458510704 logp*logq = 19.72264155144276599 -------------- ************************************* p = 19; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 381158483.6054695035 -------------- Searches starting with [19,821]-exponents: u = 9, v = 7 n_start has 32 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10009 non-negative rho_i D1(19,821) = 1.055584285026136773 D2(19,821) = 0.1168635929171749416 C1(19,821) = 1.304211340308281472 C2(19,821) = 2.231846382175993231 C3(19,821) = 4.089577618016249004 C4(19,821) = 6568 Sum = 5386.699802711207957 Averaged sum = 0.5381856132192234945 logp*logq = 19.75872581406891556 -------------- ************************************* p = 19; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 383898941.4891886400 -------------- Searches starting with [19,823]-exponents: u = 9, v = 7 n_start has 32 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10009 non-negative rho_i D1(19,823) = 0.9160946092251177090 D2(19,823) = 0.1214953584384161417 C1(19,823) = 1.160791141494557084 C2(19,823) = 2.236947159873961878 C3(19,823) = 3.502789305817887735 C4(19,823) = 6584 Sum = 5022.670727047634063 Averaged sum = 0.5018154388098345552 logp*logq = 19.76588990271061806 -------------- ************************************* p = 19; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 389418826.9921392049 -------------- Searches starting with [19,827]-exponents: u = 9, v = 7 n_start has 32 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10009 non-negative rho_i D1(19,827) = 0.7149834354282487938 D2(19,827) = 0.1308937771510546703 C1(19,827) = 0.8564091150528140366 C2(19,827) = 2.247280118798619106 C3(19,827) = 2.521494736849301771 C4(19,827) = 6616 Sum = 4490.026921487574698 Averaged sum = 0.4485989530909755917 logp*logq = 19.78016599845507854 -------------- ************************************* p = 19; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 392198314.1843940250 -------------- Searches starting with [19,829]-exponents: u = 9, v = 7 n_start has 32 digits starting right neighbors generation We generated 110 left neighbors We generated 9900 right neighbors We generated 10009 non-negative rho_i D1(19,829) = 0.9469375857030940041 D2(19,829) = 0.1348038589183267068 C1(19,829) = 1.141061274804050380 C2(19,829) = 1.678093196956855179 C3(19,829) = 3.428946089878175102 C4(19,829) = 6632 Sum = 4876.971121471405350 Averaged sum = 0.4872585794256574433 logp*logq = 19.78727817336030608 -------------- ************************************* p = 19; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 406292385.6541325814 -------------- Searches starting with [19,839]-exponents: u = 16, v = 3 n_start has 30 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(19,839) = 1.097918321387130983 D2(19,839) = 0.09220806412793414967 C1(19,839) = 1.525555524530883106 C2(19,839) = 1.311346962089701866 C3(19,839) = 5.193850490978256394 C4(19,839) = 6712 Sum = 4502.726648710408870 Averaged sum = 0.4498677838655618813 logp*logq = 19.82258362008368150 -------------- ************************************* p = 19; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 426580081.9370753347 -------------- Searches starting with [19,853]-exponents: u = 16, v = 3 n_start has 30 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(19,853) = 0.7141995846777004165 D2(19,853) = 0.1098212635315890843 C1(19,853) = 0.9066660368925483206 C2(19,853) = 2.287132264436728398 C3(19,853) = 2.662126514083767819 C4(19,853) = 6824 Sum = 4773.982384796313479 Averaged sum = 0.4769689664098624716 logp*logq = 19.87131067265616832 -------------- ************************************* p = 19; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 432496958.0495278014 -------------- Searches starting with [19,857]-exponents: u = 16, v = 3 n_start has 30 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(19,857) = 0.7778562556655226611 D2(19,857) = 0.09816608177217726872 C1(19,857) = 1.007160567889656619 C2(19,857) = 2.276543745926924197 C3(19,857) = 2.967296081354531368 C4(19,857) = 6856 Sum = 4572.037582759516233 Averaged sum = 0.4567926448955456322 logp*logq = 19.88508585089997715 -------------- ************************************* p = 19; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 435475610.0154992222 -------------- Searches starting with [19,859]-exponents: u = 16, v = 3 n_start has 30 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(19,859) = 0.8844686939698923537 D2(19,859) = 0.09248022988031122335 C1(19,859) = 1.145186001397092673 C2(19,859) = 2.271389333553164281 C3(19,859) = 3.444253944779864605 C4(19,859) = 6872 Sum = 4136.047278588434233 Averaged sum = 0.4132328183223533053 logp*logq = 19.89194934813168483 -------------- ************************************* p = 19; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 441473490.3753015388 -------------- Searches starting with [19,863]-exponents: u = 16, v = 3 n_start has 30 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(19,863) = 0.7138253651968743176 D2(19,863) = 0.08137457153234984636 C1(19,863) = 0.9006129958314644994 C2(19,863) = 2.261342799538171564 C3(19,863) = 2.644781504716912181 C4(19,863) = 6904 Sum = 4691.468262621315816 Averaged sum = 0.4687249737857244296 logp*logq = 19.90562853175549551 -------------- ************************************* p = 19; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 462895243.6959665031 -------------- Searches starting with [19,877]-exponents: u = 23, v = 3 n_start has 39 digits starting right neighbors generation We generated 171 left neighbors We generated 9839 right neighbors We generated 10009 non-negative rho_i D1(19,877) = 0.7414719754966581447 D2(19,877) = 0.04498735788277938393 C1(19,877) = 0.9968477152616086588 C2(19,877) = 2.228623703542815728 C3(19,877) = 2.934432532311389214 C4(19,877) = 7016 Sum = 4941.309106406945051 Averaged sum = 0.4936865927072579729 logp*logq = 19.95301133093459636 -------------- ************************************* p = 19; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 469139345.2928705678 -------------- Searches starting with [19,881]-exponents: u = 23, v = 3 n_start has 39 digits starting right neighbors generation We generated 171 left neighbors We generated 9839 right neighbors We generated 10009 non-negative rho_i D1(19,881) = 1.110044907787095843 D2(19,881) = 0.03521682859519610853 C1(19,881) = 1.386848109206511504 C2(19,881) = 2.219890303952581715 C3(19,881) = 4.471315460467257657 C4(19,881) = 7048 Sum = 4948.396570179361590 Averaged sum = 0.4943947017863284634 logp*logq = 19.96641039378033066 -------------- ************************************* p = 19; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 472282144.6364399837 -------------- Searches starting with [19,883]-exponents: u = 23, v = 3 n_start has 39 digits starting right neighbors generation We generated 171 left neighbors We generated 9839 right neighbors We generated 10009 non-negative rho_i D1(19,883) = 0.8363969845211115599 D2(19,883) = 0.03042501581917737896 C1(19,883) = 1.009963651296748051 C2(19,883) = 2.215615266426830074 C3(19,883) = 2.976291995387835529 C4(19,883) = 7064 Sum = 4950.689013169556945 Averaged sum = 0.4946237399509997947 logp*logq = 19.97308712902031397 -------------- ************************************* p = 19; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 478609388.7945672068 -------------- Searches starting with [19,887]-exponents: u = 23, v = 3 n_start has 39 digits starting right neighbors generation We generated 171 left neighbors We generated 9839 right neighbors We generated 10009 non-negative rho_i D1(19,887) = 0.6686910841647447450 D2(19,887) = 0.02101893428109012870 C1(19,887) = 0.8026903654363928905 C2(19,887) = 2.207239183346883744 C3(19,887) = 2.379380154517510983 C4(19,887) = 7096 Sum = 4790.944203962459746 Averaged sum = 0.4786636231354240929 logp*logq = 19.98639535045166334 -------------- ************************************* p = 19; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 511086231.1803673637 -------------- Searches starting with [19,907]-exponents: u = 37, v = 3 n_start has 57 digits starting right neighbors generation We generated 350 left neighbors We generated 9660 right neighbors We generated 10009 non-negative rho_i D1(19,907) = 1.168794833927442303 D2(19,907) = 0.06576362953508647314 C1(19,907) = 1.381564694666754134 C2(19,907) = 2.103818724836409459 C3(19,907) = 4.445876314899707784 C4(19,907) = 7256 Sum = 4104.707597626731158 Averaged sum = 0.4101016682612380015 logp*logq = 20.05204888379505449 -------------- ************************************* p = 19; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 517751384.2862409365 -------------- Searches starting with [19,911]-exponents: u = 37, v = 3 n_start has 57 digits starting right neighbors generation We generated 350 left neighbors We generated 9660 right neighbors We generated 10009 non-negative rho_i D1(19,911) = 0.8508088351065600419 D2(19,911) = 0.04961787303943088808 C1(19,911) = 1.059891702625851529 C2(19,911) = 2.088629354306790458 C3(19,911) = 3.141173465323555708 C4(19,911) = 7288 Sum = 5034.028602494854806 Averaged sum = 0.5029502050649270462 logp*logq = 20.06500573189402923 -------------- ************************************* p = 19; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 531253371.5710898181 -------------- Searches starting with [19,919]-exponents: u = 44, v = 3 n_start has 66 digits starting right neighbors generation We generated 498 left neighbors We generated 9512 right neighbors We generated 10009 non-negative rho_i D1(19,919) = 0.6348799695640234279 D2(19,919) = 0.01928043576715103175 C1(19,919) = 0.7724560847764892172 C2(19,919) = 2.060192026670659269 C3(19,919) = 2.302946664723828811 C4(19,919) = 7352 Sum = 5002.177691762574102 Averaged sum = 0.4997679779960609553 logp*logq = 20.09074962466951913 -------------- ************************************* p = 19; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 548455200.7587405814 -------------- Searches starting with [19,929]-exponents: u = 58, v = 3 n_start has 84 digits starting right neighbors generation We generated 782 left neighbors We generated 9228 right neighbors We generated 10009 non-negative rho_i D1(19,929) = 0.7583162271807474850 D2(19,929) = 0.03356520061676976326 C1(19,929) = 0.9147047781033021887 C2(19,929) = 1.973108717714367344 C3(19,929) = 2.685337527252318757 C4(19,929) = 7432 Sum = 4901.093411002529770 Averaged sum = 0.4896686393248606024 logp*logq = 20.12261615842546856 -------------- ************************************* p = 19; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 562478448.9400201533 -------------- Searches starting with [19,937]-exponents: u = 79, v = 3 n_start has 110 digits starting right neighbors generation We generated 1382 left neighbors We generated 8628 right neighbors We generated 10009 non-negative rho_i D1(19,937) = 1.011215925267569860 D2(19,937) = 0.03100732150819053039 C1(19,937) = 1.225090404073882273 C2(19,937) = 1.895662931261125017 C3(19,937) = 3.754659289432422388 C4(19,937) = 7496 Sum = 5196.709020192404822 Averaged sum = 0.5192036187623543633 logp*logq = 20.14786337831336801 -------------- ************************************* p = 19; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 569577985.5388783061 -------------- Searches starting with [19,941]-exponents: u = 93, v = 3 n_start has 128 digits starting right neighbors generation We generated 1951 left neighbors We generated 8059 right neighbors We generated 10009 non-negative rho_i D1(19,941) = 0.6442491335806593142 D2(19,941) = 0.006765708411519805586 C1(19,941) = 0.7953292033268186194 C2(19,941) = 1.872283843349590257 C3(19,941) = 2.360540364453098167 C4(19,941) = 7528 Sum = 5093.304157510673714 Averaged sum = 0.5088724305635601672 logp*logq = 20.16040626833143806 -------------- ************************************* p = 19; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 580337846.4864263343 -------------- Searches starting with [19,947]-exponents: u = 128, v = 3 n_start has 173 digits starting right neighbors generation We generated 3486 left neighbors We generated 6524 right neighbors We generated 10009 non-negative rho_i D1(19,947) = 0.8078401254710274660 D2(19,947) = 0.01434508599927402044 C1(19,947) = 0.9856904835612789033 C2(19,947) = 1.772426201830120750 C3(19,947) = 2.899288003641036622 C4(19,947) = 7576 Sum = 5336.028615886308696 Averaged sum = 0.5331230508428722846 logp*logq = 20.17912098586310833 -------------- ************************************* p = 19; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 591231084.2167037055 -------------- Searches starting with [19,953]-exponents: u = 212, v = 3 n_start has 281 digits --- performed 5000 steps in the continued fraction search [19,953]-exponents: u = 140, v = 6 --- starting right neighbors generation We generated 9384 left neighbors We generated 626 right neighbors We generated 10009 non-negative rho_i D1(19,953) = 0.8617594057250654285 D2(19,953) = 0.004639957393822101828 C1(19,953) = 1.035495009766046903 C2(19,953) = 1.658134697882697585 C3(19,953) = 3.059495429690779757 C4(19,953) = 7624 Sum = 5444.523206676560583 Averaged sum = 0.5439627541888860608 logp*logq = 20.19771750439047970 -------------- ************************************* p = 19; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 617171808.2357859859 -------------- Searches starting with [19,967]-exponents: u = 7, v = 254 n_start has 768 digits --- performed 5000 steps in the continued fraction search [19,967]-exponents: u = 510, v = 30 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,967) = 0.6872498824564542060 D2(19,967) = 0.3443739662916167820 C1(19,967) = 0.8034834801481028307 C2(19,967) = 1.552564282783435764 C3(19,967) = 2.381418964451302305 C4(19,967) = 7736 Sum = 5973.214815371224389 Averaged sum = 0.5973812196590883477 logp*logq = 20.24065800053997885 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,967) = 0.6872498824564542060 D2(19,967) = 0.3443739662916167820 C1(19,967) = 0.8034834801481028307 C2(19,967) = 1.552564282783435764 C3(19,967) = 2.381418964451302305 C4(19,967) = 7736 Sum = 5973.214815371224389 Averaged sum = 0.5973812196590883477 logp*logq = 20.24065800053997885 -------------- ************************************* p = 19; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 624719036.2767618760 -------------- Searches starting with [19,971]-exponents: u = 7, v = 122 n_start has 374 digits --- performed 5000 steps in the continued fraction search [19,971]-exponents: u = 159, v = 38 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,971) = 0.6944418202424642557 D2(19,971) = 0.1398514143135059043 C1(19,971) = 0.8271164478110252780 C2(19,971) = 1.546992032052133017 C3(19,971) = 2.442978979422075788 C4(19,971) = 7768 Sum = 5576.536243592743647 Averaged sum = 0.5577093952988042451 logp*logq = 20.25281256466921642 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(19,971) = 0.6944418202424642557 D2(19,971) = 0.1398514143135059043 C1(19,971) = 0.8271164478110252780 C2(19,971) = 1.546992032052133017 C3(19,971) = 2.442978979422075788 C4(19,971) = 7768 Sum = 5576.536243592743647 Averaged sum = 0.5577093952988042451 logp*logq = 20.25281256466921642 -------------- ************************************* p = 19; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 636153757.9227250170 -------------- Searches starting with [19,977]-exponents: u = 7, v = 68 n_start has 213 digits starting right neighbors generation We generated 5261 left neighbors We generated 4749 right neighbors We generated 10009 non-negative rho_i D1(19,977) = 0.6289042340019055506 D2(19,977) = 0.01423293221356416506 C1(19,977) = 0.7628919934456047979 C2(19,977) = 1.722995573131896599 C3(19,977) = 2.279283238084496900 C4(19,977) = 7816 Sum = 5086.741342352146082 Averaged sum = 0.5082167391699616427 logp*logq = 20.27095084982583660 -------------- ************************************* p = 19; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 647725843.3620880923 -------------- Searches starting with [19,983]-exponents: u = 7, v = 47 n_start has 150 digits starting right neighbors generation We generated 2571 left neighbors We generated 7439 right neighbors We generated 10009 non-negative rho_i D1(19,983) = 1.006155419420592783 D2(19,983) = 0.02303500228290696049 C1(19,983) = 1.206445863773859832 C2(19,983) = 1.816622289451612867 C3(19,983) = 3.679816790208624468 C4(19,983) = 7864 Sum = 4726.332335330638207 Averaged sum = 0.4722082461115634136 logp*logq = 20.28897808356108756 -------------- ************************************* p = 19; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 663370344.3915081470 -------------- Searches starting with [19,991]-exponents: u = 7, v = 32 n_start has 105 digits starting right neighbors generation We generated 1285 left neighbors We generated 8725 right neighbors We generated 10009 non-negative rho_i D1(19,991) = 0.8207615634963098673 D2(19,991) = 0.01021308346837228581 C1(19,991) = 1.021898822810998704 C2(19,991) = 1.930225052792094262 C3(19,991) = 3.014901739237310634 C4(19,991) = 7928 Sum = 5305.277127004540649 Averaged sum = 0.5300506671000640073 logp*logq = 20.31284398102327551 -------------- ************************************* p = 19; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 675266042.6910240675 -------------- Searches starting with [19,997]-exponents: u = 7, v = 26 n_start has 87 digits starting right neighbors generation We generated 826 left neighbors We generated 9184 right neighbors We generated 10009 non-negative rho_i D1(19,997) = 0.7797255813878557816 D2(19,997) = 0.04038875455243218473 C1(19,997) = 0.9792843884290901101 C2(19,997) = 1.961391406876153944 C3(19,997) = 2.879299776714194853 C4(19,997) = 7976 Sum = 5027.043659762388867 Averaged sum = 0.5022523388712547574 logp*logq = 20.33061730850512902 -------------- ************************************* p = 23; q = 29; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38489.33997787438757 -------------- Searches starting with [23,29]-exponents: u = 1, v = 13 n_start has 21 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(23,29) = 0.9730352654297357999 D2(23,29) = 0.06309453330594168105 C1(23,29) = 1.303275540428038678 C2(23,29) = 1.571048415829852697 C3(23,29) = 4.434283702486866006 C4(23,29) = 232 Sum = 4963.142915825033206 Averaged sum = 0.4958680103731674698 logp*logq = 10.55813659824493472 -------------- ************************************* p = 23; q = 31; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47441.23267639888000 -------------- Searches starting with [23,31]-exponents: u = 1, v = 10 n_start has 17 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(23,31) = 1.387788599341874956 D2(23,31) = 0.1654610323643391898 C1(23,31) = 1.893598809301233471 C2(23,31) = 1.772431168297986897 C3(23,31) = 8.705715253639069805 C4(23,31) = 248 Sum = 5281.730878058206834 Averaged sum = 0.5276981594623046092 logp*logq = 10.76724701723788626 -------------- ************************************* p = 23; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82620.42700936821262 -------------- Searches starting with [23,37]-exponents: u = 1, v = 6 n_start has 11 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(23,37) = 0.9327094105372107791 D2(23,37) = 0.1345738278353845349 C1(23,37) = 1.225730101090166095 C2(23,37) = 1.677113221339414851 C3(23,37) = 4.058235152494967695 C4(23,37) = 296 Sum = 4860.803478649768601 Averaged sum = 0.4856432689229462084 logp*logq = 11.32201222929092436 -------------- ************************************* p = 23; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113992.0212152572360 -------------- Searches starting with [23,41]-exponents: u = 1, v = 5 n_start has 10 digits starting right neighbors generation We generated 12 left neighbors We generated 9998 right neighbors We generated 10009 non-negative rho_i D1(23,41) = 0.8042884243834770044 D2(23,41) = 0.06189279123322044019 C1(23,41) = 1.045741456353354855 C2(23,41) = 1.524613852176061454 C3(23,41) = 3.303754467266810176 C4(23,41) = 328 Sum = 5390.650065179029169 Averaged sum = 0.5385802842620670565 logp*logq = 11.64388373558741557 -------------- ************************************* p = 23; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132352.1176240834431 -------------- Searches starting with [23,43]-exponents: u = 1, v = 5 n_start has 10 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(23,43) = 1.691586977599274866 D2(23,43) = 0.01880510444163458663 C1(23,43) = 2.770706628420152218 C2(23,43) = 0.8046690850540732680 C3(23,43) = 23.72019936607384197 C4(23,43) = 344 Sum = 5037.964323174802970 Averaged sum = 0.5033434232365673863 logp*logq = 11.79322120770921362 -------------- ************************************* p = 23; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 174925.5153335312820 -------------- Searches starting with [23,47]-exponents: u = 11, v = 4 n_start has 22 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(23,47) = 0.6941327531301776500 D2(23,47) = 0.1594032983679996225 C1(23,47) = 0.8675307570306871156 C2(23,47) = 1.736842334465838693 C3(23,47) = 2.695012124370414890 C4(23,47) = 376 Sum = 5624.627055950927733 Averaged sum = 0.5619569443451821094 logp*logq = 12.07211553563537626 -------------- ************************************* p = 23; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 254951.1737949628114 -------------- Searches starting with [23,53]-exponents: u = 5, v = 15 n_start has 33 digits starting right neighbors generation We generated 180 left neighbors We generated 9830 right neighbors We generated 10009 non-negative rho_i D1(23,53) = 0.9546209912433052872 D2(23,53) = 0.03041209454526609975 C1(23,53) = 1.325167900651567917 C2(23,53) = 1.465575566417479885 C3(23,53) = 4.546621333183025839 C4(23,53) = 424 Sum = 5234.684530394538655 Averaged sum = 0.5229977550598999555 logp*logq = 12.44882733049295362 -------------- ************************************* p = 23; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 356858.6594991426437 -------------- Searches starting with [23,59]-exponents: u = 13, v = 3 n_start has 24 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(23,59) = 1.150383695112617736 D2(23,59) = 0.03562782144656538449 C1(23,59) = 1.662925319034734898 C2(23,59) = 1.792894568007342585 C3(23,59) = 6.688362758022624405 C4(23,59) = 472 Sum = 5085.823457916556753 Averaged sum = 0.5081250332617201272 logp*logq = 12.78509507060091300 -------------- ************************************* p = 23; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 396178.9267946250400 -------------- Searches starting with [23,61]-exponents: u = 17, v = 3 n_start has 29 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10009 non-negative rho_i D1(23,61) = 1.020916093156604159 D2(23,61) = 0.07700554944088745708 C1(23,61) = 1.307043918035673743 C2(23,61) = 1.695251349806926063 C3(23,61) = 4.453420910502360913 C4(23,61) = 488 Sum = 5918.218809706572293 Averaged sum = 0.5912897202224570180 logp*logq = 12.88962122352973036 -------------- ************************************* p = 23; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 531675.9083510484169 -------------- Searches starting with [23,67]-exponents: u = 4, v = 41 n_start has 81 digits starting right neighbors generation We generated 1102 left neighbors We generated 8908 right neighbors We generated 10009 non-negative rho_i D1(23,67) = 0.8410684045236457875 D2(23,67) = 0.02593541834861072746 C1(23,67) = 1.076789569345214100 C2(23,67) = 1.424911452908084871 C3(23,67) = 3.423080624427636502 C4(23,67) = 536 Sum = 5724.767493429249820 Averaged sum = 0.5719619835577230313 logp*logq = 13.18378938786035975 -------------- ************************************* p = 23; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 637690.3494510804221 -------------- Searches starting with [23,71]-exponents: u = 4, v = 11 n_start has 26 digits starting right neighbors generation We generated 114 left neighbors We generated 9896 right neighbors We generated 10009 non-negative rho_i D1(23,71) = 0.6919184515502243120 D2(23,71) = 0.03263296163388731686 C1(23,71) = 0.8567968693866911456 C2(23,71) = 1.760811394518479172 C3(23,71) = 2.662155566599568952 C4(23,71) = 568 Sum = 5465.256127035409506 Averaged sum = 0.5460341819397951349 logp*logq = 13.36560809882062351 -------------- ************************************* p = 23; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 695725.7062334780013 -------------- Searches starting with [23,73]-exponents: u = 4, v = 8 n_start has 21 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(23,73) = 1.247442279131140886 D2(23,73) = 0.1204250224857735900 C1(23,73) = 1.684993062635208088 C2(23,73) = 1.853838534419898540 C3(23,73) = 6.859179585790185647 C4(23,73) = 584 Sum = 4981.362060031364047 Averaged sum = 0.4976882865452456835 logp*logq = 13.45271076139939240 -------------- ************************************* p = 23; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 891248.4113516310626 -------------- Searches starting with [23,79]-exponents: u = 4, v = 5 n_start has 15 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(23,79) = 0.7261236456738611959 D2(23,79) = 0.01573456590856126931 C1(23,79) = 1.153574196843991574 C2(23,79) = 1.974965333075368495 C3(23,79) = 3.737023250685018571 C4(23,79) = 632 Sum = 5405.618028533847989 Averaged sum = 0.5400757346921618532 logp*logq = 13.70037846821439050 -------------- ************************************* p = 23; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1040538.751067586716 -------------- Searches starting with [23,83]-exponents: u = 7, v = 2 n_start has 14 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(23,83) = 0.9284584630436239115 D2(23,83) = 0.05926902764599133428 C1(23,83) = 1.237437506522050178 C2(23,83) = 1.505131127334496279 C3(23,83) = 4.112895394658473202 C4(23,83) = 664 Sum = 4804.167242270682068 Averaged sum = 0.4799847379629015953 logp*logq = 13.85524916685908107 -------------- ************************************* p = 23; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1295093.400825259760 -------------- Searches starting with [23,89]-exponents: u = 10, v = 2 n_start has 18 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(23,89) = 0.8246507537288899465 D2(23,89) = 0.1154873574415208817 C1(23,89) = 1.016482474734240274 C2(23,89) = 1.331976825983883397 C3(23,89) = 3.195113977672606186 C4(23,89) = 712 Sum = 5498.210788799742461 Averaged sum = 0.5493266848635970088 logp*logq = 14.07409337470434066 -------------- ************************************* p = 23; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1696333.665377176555 -------------- Searches starting with [23,97]-exponents: u = 16, v = 2 n_start has 26 digits starting right neighbors generation We generated 91 left neighbors We generated 9919 right neighbors We generated 10009 non-negative rho_i D1(23,97) = 1.141326333051420819 D2(23,97) = 0.01359326017703054834 C1(23,97) = 1.431903303397449653 C2(23,97) = 1.791620605021188334 C3(23,97) = 5.136439848538508505 C4(23,97) = 776 Sum = 5868.633196788335832 Averaged sum = 0.5863356176229729076 logp*logq = 14.34397981264493749 -------------- ************************************* p = 23; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1925475.843087738591 -------------- Searches starting with [23,101]-exponents: u = 25, v = 2 n_start has 39 digits starting right neighbors generation We generated 181 left neighbors We generated 9829 right neighbors We generated 10009 non-negative rho_i D1(23,101) = 0.9164858615295350747 D2(23,101) = 0.04849008250578094996 C1(23,101) = 1.131318202029085351 C2(23,101) = 1.676640487100158768 C3(23,101) = 3.643174857170862806 C4(23,101) = 808 Sum = 5505.628269598116027 Averaged sum = 0.5500677659704382083 logp*logq = 14.47068368637171688 -------------- ************************************* p = 23; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2047573.384296173701 -------------- Searches starting with [23,103]-exponents: u = 31, v = 2 n_start has 47 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(23,103) = 1.032266519166866085 D2(23,103) = 0.007609990820393489996 C1(23,103) = 1.366800033364228005 C2(23,103) = 1.585435853827160485 C3(23,103) = 4.768162664090417661 C4(23,103) = 824 Sum = 5426.787149209267203 Averaged sum = 0.5421907432519999203 logp*logq = 14.53216593499318306 -------------- ************************************* p = 23; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2307390.482010622393 -------------- Searches starting with [23,107]-exponents: u = 76, v = 2 n_start has 108 digits starting right neighbors generation We generated 1484 left neighbors We generated 8526 right neighbors We generated 10009 non-negative rho_i D1(23,107) = 0.7460230939921346214 D2(23,107) = 0.002966488752624522513 C1(23,107) = 0.9428824436719394295 C2(23,107) = 1.358291464417081359 C3(23,107) = 2.937367043078687909 C4(23,107) = 856 Sum = 4685.578794759051629 Averaged sum = 0.4681365565749876739 logp*logq = 14.65162778248225691 -------------- ************************************* p = 23; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2445338.579534151325 -------------- Searches starting with [23,109]-exponents: u = 196, v = 2 n_start has 271 digits --- performed 5000 steps in the continued fraction search [23,109]-exponents: u = 20, v = 91 --- starting right neighbors generation We generated 9067 left neighbors We generated 943 right neighbors We generated 10009 non-negative rho_i D1(23,109) = 0.7211025204713310699 D2(23,109) = 0.005961417379135206752 C1(23,109) = 0.8772314603645544839 C2(23,109) = 1.155106236830643457 C3(23,109) = 2.725054802633936231 C4(23,109) = 872 Sum = 5924.678829554939718 Averaged sum = 0.5919351413282985031 logp*logq = 14.70969414964094581 -------------- ************************************* p = 23; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2737887.408077526241 -------------- Searches starting with [23,113]-exponents: u = 3, v = 63 n_start has 134 digits starting right neighbors generation We generated 2164 left neighbors We generated 7846 right neighbors We generated 10009 non-negative rho_i D1(23,113) = 1.105675236461994360 D2(23,113) = 0.007272688194360679046 C1(23,113) = 1.381260849261584056 C2(23,113) = 1.309947343813520170 C3(23,113) = 4.847614239726928652 C4(23,113) = 904 Sum = 6334.884679243148089 Averaged sum = 0.6329188409674441092 logp*logq = 14.82269716202646353 -------------- ************************************* p = 23; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3948793.276054009578 -------------- Searches starting with [23,127]-exponents: u = 3, v = 11 n_start has 28 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(23,127) = 1.017648752385696340 D2(23,127) = 0.06256324144189321141 C1(23,127) = 1.428168195114603276 C2(23,127) = 1.881121995423620294 C3(23,127) = 5.114562027149274090 C4(23,127) = 1016 Sum = 4859.810532917477462 Averaged sum = 0.4855440636344767171 logp*logq = 15.18892059046959271 -------------- ************************************* p = 23; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4352030.206869288989 -------------- Searches starting with [23,131]-exponents: u = 3, v = 9 n_start has 24 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(23,131) = 1.029994076461428694 D2(23,131) = 0.1334276489986007354 C1(23,131) = 1.476088360040016657 C2(23,131) = 1.175484189763603662 C3(23,131) = 5.402459445638279428 C4(23,131) = 1048 Sum = 5099.346210065647736 Averaged sum = 0.5094760925232938091 logp*logq = 15.28615300841048403 -------------- ************************************* p = 23; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5008122.916126414337 -------------- Searches starting with [23,137]-exponents: u = 3, v = 7 n_start has 20 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(23,137) = 0.8360632278293179503 D2(23,137) = 0.1064690776108872129 C1(23,137) = 1.234757462510951757 C2(23,137) = 1.325437396337035324 C3(23,137) = 4.100318022360478142 C4(23,137) = 1096 Sum = 5342.755941049608136 Averaged sum = 0.5337951784443608888 logp*logq = 15.42657173541582851 -------------- ************************************* p = 23; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5240955.966351927864 -------------- Searches starting with [23,139]-exponents: u = 3, v = 5 n_start has 15 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(23,139) = 0.9450833847736783217 D2(23,139) = 0.1165380595837220788 C1(23,139) = 1.181706960041386089 C2(23,139) = 1.327660105455017046 C3(23,139) = 3.859119786324762483 C4(23,139) = 1112 Sum = 4948.005789571653003 Averaged sum = 0.4943556588641875315 logp*logq = 15.47201447598444577 -------------- ************************************* p = 23; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6516478.620435417561 -------------- Searches starting with [23,149]-exponents: u = 3, v = 5 n_start has 15 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(23,149) = 0.8426726421759596162 D2(23,149) = 0.01707172249835502827 C1(23,149) = 1.306347057393740102 C2(23,149) = 2.183864330216781840 C3(23,149) = 4.449875782001456013 C4(23,149) = 1192 Sum = 5001.666434323934815 Averaged sum = 0.4997168982239918888 logp*logq = 15.68984469911202241 -------------- ************************************* p = 23; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6794689.492336035319 -------------- Searches starting with [23,151]-exponents: u = 8, v = 3 n_start has 18 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(23,151) = 1.865882793305500166 D2(23,151) = 0.01693020911952474767 C1(23,151) = 2.891305338514161766 C2(23,151) = 0.8756170714904732718 C3(23,151) = 27.22527020959112420 C4(23,151) = 1208 Sum = 3349.486002206056271 Averaged sum = 0.3346474175448152933 logp*logq = 15.73165190803114327 -------------- ************************************* p = 23; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7677691.522912520103 -------------- Searches starting with [23,157]-exponents: u = 8, v = 3 n_start has 18 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(23,157) = 0.7238702515545991561 D2(23,157) = 0.09303941376390354460 C1(23,157) = 0.8833402228406889744 C2(23,157) = 1.709535481241023694 C3(23,157) = 2.744145003015008036 C4(23,157) = 1256 Sum = 5163.202163784535991 Averaged sum = 0.5158559460270292727 logp*logq = 15.85382947698564520 -------------- ************************************* p = 23; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8635777.378886000315 -------------- Searches starting with [23,163]-exponents: u = 8, v = 3 n_start has 18 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(23,163) = 1.204705317451311723 D2(23,163) = 0.1043968523678026527 C1(23,163) = 1.741508040597888187 C2(23,163) = 1.094324629616988428 C3(23,163) = 7.316795155766897761 C4(23,163) = 1304 Sum = 4681.465981075242703 Averaged sum = 0.4677256450269999703 logp*logq = 15.97142429201754806 -------------- ************************************* p = 23; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9317826.916356798228 -------------- Searches starting with [23,167]-exponents: u = 13, v = 3 n_start has 25 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(23,167) = 0.7022481438293542971 D2(23,167) = 0.1079369026140304165 C1(23,167) = 0.8726532266467765685 C2(23,167) = 1.968546948777972117 C3(23,167) = 2.710834697384991870 C4(23,167) = 1336 Sum = 5037.938261515212777 Averaged sum = 0.5033408194140486339 logp*logq = 16.04743999599391318 -------------- ************************************* p = 23; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10408319.40945198214 -------------- Searches starting with [23,173]-exponents: u = 23, v = 3 n_start has 39 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(23,173) = 0.8183653251460114506 D2(23,173) = 0.005530103767824738347 C1(23,173) = 1.116633168076430487 C2(23,173) = 1.874552854452766963 C3(23,173) = 3.582545753218934315 C4(23,173) = 1384 Sum = 4962.298065904647417 Averaged sum = 0.4957836013492504164 logp*logq = 16.15811598754409101 -------------- ************************************* p = 23; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11582642.39304605724 -------------- Searches starting with [23,179]-exponents: u = 43, v = 3 n_start has 66 digits starting right neighbors generation We generated 591 left neighbors We generated 9419 right neighbors We generated 10009 non-negative rho_i D1(23,179) = 0.6594230589599726152 D2(23,179) = 0.03360710952148082537 C1(23,179) = 0.8264852073855892012 C2(23,179) = 1.694998909688226176 C3(23,179) = 2.571518011788233102 C4(23,179) = 1432 Sum = 5217.758006397946706 Averaged sum = 0.5213066246775848442 logp*logq = 16.26501819000665842 -------------- ************************************* p = 23; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11993283.86381737083 -------------- Searches starting with [23,181]-exponents: u = 63, v = 3 n_start has 93 digits starting right neighbors generation We generated 1232 left neighbors We generated 8778 right neighbors We generated 10009 non-negative rho_i D1(23,181) = 0.9448873443900098864 D2(23,181) = 0.01362940669635016956 C1(23,181) = 1.205512417411534511 C2(23,181) = 1.611610245160891420 C3(23,181) = 3.965546535023671650 C4(23,181) = 1448 Sum = 4314.756823303471093 Averaged sum = 0.4310877033972895487 logp*logq = 16.29985737305885267 -------------- ************************************* p = 23; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14196030.68284239977 -------------- Searches starting with [23,191]-exponents: u = 5, v = 37 n_start has 92 digits starting right neighbors generation We generated 1114 left neighbors We generated 8896 right neighbors We generated 10009 non-negative rho_i D1(23,191) = 0.8134611267379451566 D2(23,191) = 0.03162734251581661566 C1(23,191) = 1.034550449363496302 C2(23,191) = 1.600377302397596437 C3(23,191) = 3.261771993451662150 C4(23,191) = 1528 Sum = 5460.854346454636569 Averaged sum = 0.5455943996857464851 logp*logq = 16.46847295411857495 -------------- ************************************* p = 23; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14667352.26610808224 -------------- Searches starting with [23,193]-exponents: u = 5, v = 28 n_start has 71 digits starting right neighbors generation We generated 721 left neighbors We generated 9289 right neighbors We generated 10009 non-negative rho_i D1(23,193) = 0.8700142630806937467 D2(23,193) = 0.007760328641566194616 C1(23,193) = 1.128254604821895838 C2(23,193) = 1.704695127200251655 C3(23,193) = 3.630442263505288874 C4(23,193) = 1544 Sum = 3788.360963433949025 Averaged sum = 0.3784954504380007019 logp*logq = 16.50113464753835280 -------------- ************************************* p = 23; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15641758.65971673478 -------------- Searches starting with [23,197]-exponents: u = 5, v = 16 n_start has 44 digits starting right neighbors generation We generated 257 left neighbors We generated 9753 right neighbors We generated 10009 non-negative rho_i D1(23,197) = 0.8083781625215451831 D2(23,197) = 0.02487369534975269903 C1(23,197) = 1.000350005328248921 C2(23,197) = 1.822457303645056142 C3(23,197) = 3.136748606368493962 C4(23,197) = 1576 Sum = 5322.930347890584179 Averaged sum = 0.5318144018274137455 logp*logq = 16.56545473303327933 -------------- ************************************* p = 23; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16145092.00898644535 -------------- Searches starting with [23,199]-exponents: u = 5, v = 13 n_start has 37 digits starting right neighbors generation We generated 165 left neighbors We generated 9845 right neighbors We generated 10009 non-negative rho_i D1(23,199) = 0.8623605348839275258 D2(23,199) = 0.06277011909954595838 C1(23,199) = 1.057266850651297014 C2(23,199) = 1.862155769877115670 C3(23,199) = 3.347556268847915631 C4(23,199) = 1592 Sum = 5247.799470283579480 Averaged sum = 0.5243080697655689360 logp*logq = 16.59712666107350742 -------------- ************************************* p = 23; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19398770.03929951172 -------------- Searches starting with [23,211]-exponents: u = 5, v = 7 n_start has 24 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(23,211) = 0.8866169817695642840 D2(23,211) = 0.08728944664524298005 C1(23,211) = 1.107115814155628399 C2(23,211) = 2.043448367320415156 C3(23,211) = 3.543792018363230068 C4(23,211) = 1688 Sum = 5121.290436454812568 Averaged sum = 0.5116685419577193094 logp*logq = 16.78072022198758167 -------------- ************************************* p = 23; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23072588.22541039061 -------------- Searches starting with [23,223]-exponents: u = 12, v = 4 n_start has 26 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(23,223) = 0.8679541277741498765 D2(23,223) = 0.08262528155829662452 C1(23,223) = 1.061308145233393059 C2(23,223) = 1.989478346899206328 C3(23,223) = 3.363052170717034348 C4(23,223) = 1784 Sum = 5105.768633836036612 Averaged sum = 0.5101177574019419135 logp*logq = 16.95415581394857645 -------------- ************************************* p = 23; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24395259.81510083458 -------------- Searches starting with [23,227]-exponents: u = 19, v = 4 n_start has 36 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(23,227) = 0.9965172367231256056 D2(23,227) = 0.04708939567252763143 C1(23,227) = 1.239263410948729142 C2(23,227) = 1.799180873432506592 C3(23,227) = 4.121486402307472376 C4(23,227) = 1816 Sum = 5465.001978121277416 Averaged sum = 0.5460087899012166466 logp*logq = 17.00989940151767759 -------------- ************************************* p = 23; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25075552.19015226571 -------------- Searches starting with [23,229]-exponents: u = 19, v = 4 n_start has 36 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(23,229) = 0.9236925068203319421 D2(23,229) = 0.03363495662296385200 C1(23,229) = 1.247701095278197953 C2(23,229) = 1.787427659195715994 C3(23,229) = 4.161419948821970243 C4(23,229) = 1832 Sum = 4624.890224907148724 Averaged sum = 0.4620731566497301153 logp*logq = 17.03740391311126898 -------------- ************************************* p = 23; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26474684.75110263996 -------------- Searches starting with [23,233]-exponents: u = 33, v = 4 n_start has 55 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(23,233) = 0.8533556565875803416 D2(23,233) = 0.007426228008131281280 C1(23,233) = 1.059643700391637824 C2(23,233) = 1.590858726757131715 C3(23,233) = 3.356661370248854222 C4(23,233) = 1864 Sum = 5232.079716757813231 Averaged sum = 0.5227375079186545340 logp*logq = 17.09169954196263094 -------------- ************************************* p = 23; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28671661.55975275102 -------------- Searches starting with [23,239]-exponents: u = 124, v = 4 n_start has 179 digits starting right neighbors generation We generated 4840 left neighbors We generated 5170 right neighbors We generated 10009 non-negative rho_i D1(23,239) = 0.7292112253603549338 D2(23,239) = 0.01177395958495156378 C1(23,239) = 0.9932957602968703773 C2(23,239) = 1.671702488514244017 C3(23,239) = 3.111563365062822171 C4(23,239) = 1912 Sum = 5420.052824219172927 Averaged sum = 0.5415179162972497679 logp*logq = 17.17141979082805819 -------------- ************************************* p = 23; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29430704.57135184926 -------------- Searches starting with [23,241]-exponents: u = 586, v = 4 n_start has 808 digits --- performed 5000 steps in the continued fraction search [23,241]-exponents: u = 375, v = 116 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(23,241) = 0.6529597627578638542 D2(23,241) = 0.4128565303081835671 C1(23,241) = 0.7700406290187069970 C2(23,241) = 1.423159028333091166 C3(23,241) = 2.410881073015472573 C4(23,241) = 1928 Sum = 6218.239689341928554 Averaged sum = 0.6218861575499478501 logp*logq = 17.19754906050588587 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(23,241) = 0.6529597627578638542 D2(23,241) = 0.4128565303081835671 C1(23,241) = 0.7700406290187069970 C2(23,241) = 1.423159028333091166 C3(23,241) = 2.410881073015472573 C4(23,241) = 1928 Sum = 6218.239689341928554 Averaged sum = 0.6218861575499478501 logp*logq = 17.19754906050588587 -------------- ************************************* p = 23; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33432055.09352548084 -------------- Searches starting with [23,251]-exponents: u = 7, v = 17 n_start has 51 digits starting right neighbors generation We generated 357 left neighbors We generated 9653 right neighbors We generated 10009 non-negative rho_i D1(23,251) = 0.8081926897643775511 D2(23,251) = 0.05147424499686617768 C1(23,251) = 1.063970296774635230 C2(23,251) = 1.886898809452934092 C3(23,251) = 3.373299068038711942 C4(23,251) = 2008 Sum = 4709.696769977013422 Averaged sum = 0.4705461854308136099 logp*logq = 17.32502573103642839 -------------- ************************************* p = 23; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36002393.05423065033 -------------- Searches starting with [23,257]-exponents: u = 7, v = 9 n_start has 32 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(23,257) = 0.8936315887945588643 D2(23,257) = 0.1205927977047331142 C1(23,257) = 1.219331564311826009 C2(23,257) = 1.960389112050547132 C3(23,257) = 4.028668902267332726 C4(23,257) = 2056 Sum = 4844.579361597864914 Averaged sum = 0.4840223160753187046 logp*logq = 17.39909596793973289 -------------- ************************************* p = 23; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38704124.87198967841 -------------- Searches starting with [23,263]-exponents: u = 7, v = 9 n_start has 32 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(23,263) = 1.016490389880629903 D2(23,263) = 0.1314384841789789839 C1(23,263) = 1.435516307065164539 C2(23,263) = 1.244626016368406764 C3(23,263) = 5.157691501384729408 C4(23,263) = 2104 Sum = 4821.921896812803626 Averaged sum = 0.4817586069350388276 logp*logq = 17.47145673815966980 -------------- ************************************* p = 23; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41540739.17441761330 -------------- Searches starting with [23,269]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(23,269) = 1.430838367908203068 D2(23,269) = 0.009152113214157399067 C1(23,269) = 1.793328755033659699 C2(23,269) = 2.073073219777338660 C3(23,269) = 7.763183078369217962 C4(23,269) = 2152 Sum = 5813.032187861715156 Averaged sum = 0.5807805163214821817 logp*logq = 17.54218517053455987 -------------- ************************************* p = 23; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42516855.69330192070 -------------- Searches starting with [23,271]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(23,271) = 0.9797201317737248566 D2(23,271) = 0.01321854913110537681 C1(23,271) = 1.208312998462343259 C2(23,271) = 2.078732405827820994 C3(23,271) = 3.978258467352452103 C4(23,271) = 2168 Sum = 5436.876671796461280 Averaged sum = 0.5431987882702029454 logp*logq = 17.56541115981613035 -------------- ************************************* p = 23; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45538758.70284489364 -------------- Searches starting with [23,277]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(23,277) = 1.037927623522325661 D2(23,277) = 0.02541960584793526261 C1(23,277) = 1.288833629023960683 C2(23,277) = 2.095640203714374594 C3(23,277) = 4.361700772606484330 C4(23,277) = 2216 Sum = 5634.454425898586437 Averaged sum = 0.5629387976719538852 logp*logq = 17.63407436093468070 -------------- ************************************* p = 23; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47632623.54579946478 -------------- Searches starting with [23,281]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(23,281) = 1.070182339979827376 D2(23,281) = 0.02865959800774717863 C1(23,281) = 1.627037858064041924 C2(23,281) = 1.224844535439386177 C3(23,281) = 6.419610188380816487 C4(23,281) = 2248 Sum = 5343.793014521164404 Averaged sum = 0.5338987925388314920 logp*logq = 17.67902845305307325 -------------- ************************************* p = 23; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48703725.97706794666 -------------- Searches starting with [23,283]-exponents: u = 9, v = 1 n_start has 15 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(23,283) = 1.452528658636353461 D2(23,283) = 0.01811830159015411727 C1(23,283) = 2.207995625452765819 C2(23,283) = 1.017022752786296555 C3(23,283) = 12.46928311322495661 C4(23,283) = 2264 Sum = 4190.977854006656923 Averaged sum = 0.4187209365577637050 logp*logq = 17.70126609389553395 -------------- ************************************* p = 23; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54306167.53507427938 -------------- Searches starting with [23,293]-exponents: u = 9, v = 1 n_start has 15 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(23,293) = 0.8914370950432512671 D2(23,293) = 0.04599979501738949948 C1(23,293) = 1.102426940839737119 C2(23,293) = 1.695899646365760965 C3(23,293) = 3.524853809406955569 C4(23,293) = 2344 Sum = 5351.633963015557153 Averaged sum = 0.5346821823374520084 logp*logq = 17.81014836105220200 -------------- ************************************* p = 23; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62864865.47263460516 -------------- Searches starting with [23,307]-exponents: u = 9, v = 1 n_start has 15 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(23,307) = 0.8307788683647394791 D2(23,307) = 0.08137313472164266889 C1(23,307) = 1.006654102627091410 C2(23,307) = 2.040905211661304630 C3(23,307) = 3.159428089819123749 C4(23,307) = 2456 Sum = 4794.123776528540333 Averaged sum = 0.4789812944878149998 logp*logq = 17.95649798806653570 -------------- ************************************* p = 23; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65469011.17162272809 -------------- Searches starting with [23,311]-exponents: u = 9, v = 1 n_start has 15 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(23,311) = 0.8297833895823507985 D2(23,311) = 0.08234676053963060416 C1(23,311) = 1.225488269316952919 C2(23,311) = 1.408158812275995183 C3(23,311) = 4.057113764825062508 C4(23,311) = 2488 Sum = 4654.782119563217601 Averaged sum = 0.4650596582638842643 logp*logq = 17.99708747676911848 -------------- ************************************* p = 23; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66798211.72016198712 -------------- Searches starting with [23,313]-exponents: u = 9, v = 1 n_start has 15 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(23,313) = 1.220128076047883616 D2(23,313) = 0.05591324216162121556 C1(23,313) = 1.801708596207977467 C2(23,313) = 1.140021608156835152 C3(23,313) = 7.837883314657237030 C4(23,313) = 2504 Sum = 4855.799749383686344 Averaged sum = 0.4851433459270343035 logp*logq = 18.01718686749227606 -------------- ************************************* p = 23; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69511530.41988447067 -------------- Searches starting with [23,317]-exponents: u = 11, v = 1 n_start has 18 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(23,317) = 0.8485947874299614675 D2(23,317) = 0.07021957401272018680 C1(23,317) = 1.064108182693911108 C2(23,317) = 1.438312848249334913 C3(23,317) = 3.373830654853251861 C4(23,317) = 2536 Sum = 4523.052219922966763 Averaged sum = 0.4518985133302994068 logp*logq = 18.05700320209633329 -------------- ************************************* p = 23; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79598722.85343151039 -------------- Searches starting with [23,331]-exponents: u = 11, v = 1 n_start has 18 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(23,331) = 1.047168399883906610 D2(23,331) = 0.1225734365983347460 C1(23,331) = 1.273460048480883298 C2(23,331) = 2.002630567491348907 C3(23,331) = 4.285740467825454771 C4(23,331) = 2648 Sum = 4954.975938806164999 Averaged sum = 0.4950520470382820460 logp*logq = 18.19250860613101566 -------------- ************************************* p = 23; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84211021.24963129226 -------------- Searches starting with [23,337]-exponents: u = 11, v = 1 n_start has 18 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(23,337) = 1.041273489267057304 D2(23,337) = 0.09158604450187092798 C1(23,337) = 1.505294718561684787 C2(23,337) = 1.256427696599136969 C3(23,337) = 5.585818326317528145 C4(23,337) = 2696 Sum = 5035.932796490800776 Averaged sum = 0.5031404532411630309 logp*logq = 18.24883636434780635 -------------- ************************************* p = 23; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92297167.83099850973 -------------- Searches starting with [23,347]-exponents: u = 13, v = 1 n_start has 21 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(23,347) = 0.7017764648698693581 D2(23,347) = 0.05063651892689938363 C1(23,347) = 0.8502182420120646996 C2(23,347) = 2.236258434784220479 C3(23,347) = 2.642216608869630771 C4(23,347) = 2776 Sum = 4716.890727998713895 Averaged sum = 0.4712649343589483359 logp*logq = 18.34052401461442332 -------------- ************************************* p = 23; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93975450.94015352103 -------------- Searches starting with [23,349]-exponents: u = 13, v = 1 n_start has 21 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(23,349) = 1.012656307159472950 D2(23,349) = 0.03012618315374546870 C1(23,349) = 1.234799189044633584 C2(23,349) = 2.217332340437511070 C3(23,349) = 4.100513548768853648 C4(23,349) = 2792 Sum = 5114.688310233020709 Averaged sum = 0.5110089229926087230 logp*logq = 18.35854414591487870 -------------- ************************************* p = 23; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97394145.64064953818 -------------- Searches starting with [23,353]-exponents: u = 13, v = 1 n_start has 21 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(23,353) = 1.209676071091349403 D2(23,353) = 0.1594271108786749360 C1(23,353) = 1.550131989409399859 C2(23,353) = 1.979574266491090264 C3(23,353) = 5.879492128714084822 C4(23,353) = 2824 Sum = 4810.588798910646465 Averaged sum = 0.4806263162064788156 logp*logq = 18.39427666044746964 -------------- ************************************* p = 23; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102679528.2464749602 -------------- Searches starting with [23,359]-exponents: u = 15, v = 1 n_start has 23 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(23,359) = 0.8723808715752122606 D2(23,359) = 0.1180765450956252236 C1(23,359) = 1.240522255990581383 C2(23,359) = 1.375849827781235292 C3(23,359) = 4.127419804481492561 C4(23,359) = 2872 Sum = 4809.522745482631630 Averaged sum = 0.4805198067222131711 logp*logq = 18.44712331955146818 -------------- ************************************* p = 23; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110026072.4059568596 -------------- Searches starting with [23,367]-exponents: u = 15, v = 1 n_start has 23 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(23,367) = 0.7694522485764043222 D2(23,367) = 0.06600343539960368740 C1(23,367) = 0.9554576941771148874 C2(23,367) = 2.177355226425494723 C3(23,367) = 2.979884218405417071 C4(23,367) = 2936 Sum = 5191.909198132988739 Averaged sum = 0.5187240681519621080 logp*logq = 18.51622791754377923 -------------- ************************************* p = 23; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115765237.5264797321 -------------- Searches starting with [23,373]-exponents: u = 15, v = 1 n_start has 23 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(23,373) = 1.178219274354277449 D2(23,373) = 0.001866432298156504757 C1(23,373) = 1.653487204564001830 C2(23,373) = 2.117506229652828473 C3(23,373) = 6.616611373319149203 C4(23,373) = 2984 Sum = 4061.566828606647885 Averaged sum = 0.4057914705371813253 logp*logq = 18.56707488396405875 -------------- ************************************* p = 23; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121704973.9743268136 -------------- Searches starting with [23,379]-exponents: u = 17, v = 1 n_start has 26 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(23,379) = 0.9328608775048195615 D2(23,379) = 0.1319179510382948768 C1(23,379) = 1.170363097579886269 C2(23,379) = 2.179480870185122393 C3(23,379) = 3.809414514094032233 C4(23,379) = 3032 Sum = 5183.322093755591654 Averaged sum = 0.5178661298586863476 logp*logq = 18.61711042790586134 -------------- ************************************* p = 23; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125778037.5505298601 -------------- Searches starting with [23,383]-exponents: u = 17, v = 1 n_start has 26 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(23,383) = 0.7306732601451987544 D2(23,383) = 0.07811706388172800530 C1(23,383) = 0.9024924475195428624 C2(23,383) = 2.128361407587121204 C3(23,383) = 2.804867951650194556 C4(23,383) = 3064 Sum = 4987.506016387669948 Averaged sum = 0.4983021297220171793 logp*logq = 18.65002930472011796 -------------- ************************************* p = 23; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132060213.3324706906 -------------- Searches starting with [23,389]-exponents: u = 19, v = 1 n_start has 29 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(23,389) = 1.371750758170428393 D2(23,389) = 0.008720174780968399988 C1(23,389) = 1.714421391891230797 C2(23,389) = 2.062934598578172931 C3(23,389) = 7.093778604903267601 C4(23,389) = 3112 Sum = 5380.712357146977130 Averaged sum = 0.5375874070483541942 logp*logq = 18.69876853815019342 -------------- ************************************* p = 23; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140764325.0815183254 -------------- Searches starting with [23,397]-exponents: u = 19, v = 1 n_start has 29 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(23,397) = 1.609108502210711189 D2(23,397) = 0.07574329606020472437 C1(23,397) = 1.937353586797186463 C2(23,397) = 2.075014510923675763 C3(23,397) = 9.152088623658514153 C4(23,397) = 3176 Sum = 5086.552765420228070 Averaged sum = 0.5081978984334327176 logp*logq = 18.76259759658327431 -------------- ************************************* p = 23; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145259359.0677936443 -------------- Searches starting with [23,401]-exponents: u = 21, v = 1 n_start has 32 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(23,401) = 0.8239387028158053099 D2(23,401) = 0.02591566343178031080 C1(23,401) = 1.049504751547005848 C2(23,401) = 2.027672559544778380 C3(23,401) = 3.317993335615688821 C4(23,401) = 3208 Sum = 4468.729266555539858 Averaged sum = 0.4464711026631571444 logp*logq = 18.79403138582217812 -------------- ************************************* p = 23; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 154540860.4112564353 -------------- Searches starting with [23,409]-exponents: u = 23, v = 1 n_start has 34 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(23,409) = 0.7030587100950064927 D2(23,409) = 0.06774343778878537084 C1(23,409) = 0.9593010000234881284 C2(23,409) = 2.023311732044031904 C3(23,409) = 2.993000889584563635 C4(23,409) = 3272 Sum = 4687.627435977055405 Averaged sum = 0.4683412364848691582 logp*logq = 18.85596908801766874 -------------- ************************************* p = 23; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166700499.8042990807 -------------- Searches starting with [23,419]-exponents: u = 25, v = 1 n_start has 37 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(23,419) = 0.7366988098037415601 D2(23,419) = 0.06161194100254366364 C1(23,419) = 0.9497760181028960265 C2(23,419) = 1.978862723634975902 C3(23,419) = 2.960598673432173951 C4(23,419) = 3352 Sum = 4574.577640055670974 Averaged sum = 0.4570464222255640897 logp*logq = 18.93170934594267701 -------------- ************************************* p = 23; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169208171.5181360349 -------------- Searches starting with [23,421]-exponents: u = 25, v = 1 n_start has 37 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(23,421) = 0.6944558941181640327 D2(23,421) = 0.03409030856061925932 C1(23,421) = 0.8646358878132155560 C2(23,421) = 1.952465820951434308 C3(23,421) = 2.686111167086365085 C4(23,421) = 3368 Sum = 5110.411964273608458 Averaged sum = 0.5105816729217312876 logp*logq = 18.94664029899467451 -------------- ************************************* p = 23; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 182132832.8623245525 -------------- Searches starting with [23,431]-exponents: u = 29, v = 1 n_start has 43 digits starting right neighbors generation We generated 127 left neighbors We generated 9883 right neighbors We generated 10009 non-negative rho_i D1(23,431) = 0.7116643997246600856 D2(23,431) = 0.007568311048191858707 C1(23,431) = 0.8928535884990109309 C2(23,431) = 1.892745367268588735 C3(23,431) = 2.774141419342275973 C4(23,431) = 3448 Sum = 4648.552578490418550 Averaged sum = 0.4644372643111618093 logp*logq = 19.02024682972132240 -------------- ************************************* p = 23; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184795992.7298886865 -------------- Searches starting with [23,433]-exponents: u = 29, v = 1 n_start has 43 digits starting right neighbors generation We generated 102 left neighbors We generated 9908 right neighbors We generated 10009 non-negative rho_i D1(23,433) = 0.9263636621609245147 D2(23,433) = 0.08016053175239149571 C1(23,433) = 1.161050760955588128 C2(23,433) = 1.932102206191067986 C3(23,433) = 3.769089615724902771 C4(23,433) = 3464 Sum = 5497.057296683160248 Averaged sum = 0.5492114393728804324 logp*logq = 19.03476303257467450 -------------- ************************************* p = 23; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 192944418.1479171726 -------------- Searches starting with [23,439]-exponents: u = 31, v = 1 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(23,439) = 0.7200171183719449918 D2(23,439) = 0.08296352314381839812 C1(23,439) = 0.9553677532054534754 C2(23,439) = 1.907311410637597811 C3(23,439) = 2.979577951645505414 C4(23,439) = 3512 Sum = 4934.635899127769085 Averaged sum = 0.4930198720279517519 logp*logq = 19.07791271652150588 -------------- ************************************* p = 23; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 198510542.6637351374 -------------- Searches starting with [23,443]-exponents: u = 33, v = 1 n_start has 48 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(23,443) = 0.9890298267396786860 D2(23,443) = 0.01895575035205899948 C1(23,443) = 1.232895269552083485 C2(23,443) = 1.845330537191225141 C3(23,443) = 4.091601456555204270 C4(23,443) = 3544 Sum = 5282.720782167442767 Averaged sum = 0.5277970608619685050 logp*logq = 19.10635276833724155 -------------- ************************************* p = 23; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 207063266.7618047388 -------------- Searches starting with [23,449]-exponents: u = 37, v = 1 n_start has 54 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(23,449) = 0.8605255361622172542 D2(23,449) = 0.007608086958310898251 C1(23,449) = 1.033139474145263476 C2(23,449) = 1.809213042168971560 C3(23,449) = 3.256516807202015977 C4(23,449) = 3592 Sum = 4271.286055037228673 Averaged sum = 0.4267445354218432084 logp*logq = 19.14853494106277118 -------------- ************************************* p = 23; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 218852675.4455518661 -------------- Searches starting with [23,457]-exponents: u = 41, v = 1 n_start has 59 digits starting right neighbors generation We generated 216 left neighbors We generated 9794 right neighbors We generated 10009 non-negative rho_i D1(23,457) = 0.6989372890935100007 D2(23,457) = 0.01965724957808847867 C1(23,457) = 0.8792088114857491546 C2(23,457) = 1.776750001451790084 C3(23,457) = 2.731219546410698612 C4(23,457) = 3656 Sum = 4776.490216699028095 Averaged sum = 0.4772195240982144165 logp*logq = 19.20390934654611019 -------------- ************************************* p = 23; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 224915219.6953345354 -------------- Searches starting with [23,461]-exponents: u = 43, v = 1 n_start has 62 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(23,461) = 0.7397706044495699671 D2(23,461) = 0.01476351480701794905 C1(23,461) = 0.8961188533582217396 C2(23,461) = 1.752450416209409915 C3(23,461) = 2.784512470250198918 C4(23,461) = 3688 Sum = 4945.572778504679053 Averaged sum = 0.4941125765315894748 logp*logq = 19.23123408780715759 -------------- ************************************* p = 23; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 227988940.0157425729 -------------- Searches starting with [23,463]-exponents: u = 45, v = 1 n_start has 64 digits starting right neighbors generation We generated 238 left neighbors We generated 9772 right neighbors We generated 10009 non-negative rho_i D1(23,463) = 0.8583526473195655619 D2(23,463) = 0.03934162564516869890 C1(23,463) = 1.075283196767134457 C2(23,463) = 1.758280431084330172 C3(23,463) = 3.417192987914912550 C4(23,463) = 3704 Sum = 5263.350027373507317 Averaged sum = 0.5258617271828861341 logp*logq = 19.24480767703924624 -------------- ************************************* p = 23; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 234221975.4288668807 -------------- Searches starting with [23,467]-exponents: u = 49, v = 1 n_start has 70 digits starting right neighbors generation We generated 301 left neighbors We generated 9709 right neighbors We generated 10009 non-negative rho_i D1(23,467) = 0.7851679107636054256 D2(23,467) = 0.02160668847802403266 C1(23,467) = 1.015723142098999822 C2(23,467) = 1.724077504136744520 C3(23,467) = 3.192342603141002983 C4(23,467) = 3736 Sum = 4075.617076803257257 Averaged sum = 0.4071952319715513295 logp*logq = 19.27177983661693184 -------------- ************************************* p = 23; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 253615912.6568435764 -------------- Searches starting with [23,479]-exponents: u = 61, v = 1 n_start has 86 digits starting right neighbors generation We generated 430 left neighbors We generated 9580 right neighbors We generated 10009 non-negative rho_i D1(23,479) = 0.6936598631298212804 D2(23,479) = 0.01609392326441746524 C1(23,479) = 0.8581119452026446524 C2(23,479) = 1.648428758089463467 C3(23,479) = 2.666159398359961266 C4(23,479) = 3832 Sum = 5160.331114673121487 Averaged sum = 0.5155690992779619828 logp*logq = 19.35133152562840240 -------------- ************************************* p = 23; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267135442.9120615535 -------------- Searches starting with [23,487]-exponents: u = 73, v = 1 n_start has 103 digits starting right neighbors generation We generated 581 left neighbors We generated 9429 right neighbors We generated 10009 non-negative rho_i D1(23,487) = 0.8828572929029096987 D2(23,487) = 0.01534794919604894858 C1(23,487) = 1.116540772464869879 C2(23,487) = 1.594018615061701172 C3(23,487) = 3.582167497607430068 C4(23,487) = 3896 Sum = 5633.940834580026785 Averaged sum = 0.5628874847217531007 logp*logq = 19.40326636456733195 -------------- ************************************* p = 23; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 274075650.2445273253 -------------- Searches starting with [23,491]-exponents: u = 83, v = 1 n_start has 116 digits starting right neighbors generation We generated 802 left neighbors We generated 9208 right neighbors We generated 10009 non-negative rho_i D1(23,491) = 0.9659289549429061399 D2(23,491) = 0.006665962959567265376 C1(23,491) = 1.215734495242145939 C2(23,491) = 1.558654033429807684 C3(23,491) = 4.012142312258088914 C4(23,491) = 3928 Sum = 4194.345843047922962 Averaged sum = 0.4190574326154384016 logp*logq = 19.42891472202786413 -------------- ************************************* p = 23; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 288322579.5214353407 -------------- Searches starting with [23,499]-exponents: u = 105, v = 1 n_start has 146 digits starting right neighbors generation We generated 1205 left neighbors We generated 8805 right neighbors We generated 10009 non-negative rho_i D1(23,499) = 0.6976203455215072363 D2(23,499) = 0.003501754745862777520 C1(23,499) = 0.8682322120077711423 C2(23,499) = 1.491237199330985885 C3(23,499) = 2.697173348570676035 C4(23,499) = 3992 Sum = 5324.243397939890993 Averaged sum = 0.5319455887641014080 logp*logq = 19.47959047907506389 -------------- ************************************* p = 23; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 295631557.2726053034 -------------- Searches starting with [23,503]-exponents: u = 123, v = 1 n_start has 171 digits starting right neighbors generation We generated 1630 left neighbors We generated 8380 right neighbors We generated 10009 non-negative rho_i D1(23,503) = 0.7594695610915264781 D2(23,503) = 0.009618836503604636899 C1(23,503) = 0.9398266983298211545 C2(23,503) = 1.458708881020029814 C3(23,503) = 2.927127454146116694 C4(23,503) = 4024 Sum = 4747.164377454891141 Averaged sum = 0.4742895771260756460 logp*logq = 19.50462449801345769 -------------- ************************************* p = 23; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 306830092.2711686962 -------------- Searches starting with [23,509]-exponents: u = 161, v = 1 n_start has 222 digits starting right neighbors generation We generated 2709 left neighbors We generated 7301 right neighbors We generated 10009 non-negative rho_i D1(23,509) = 0.6879593549375162069 D2(23,509) = 0.008187284187889662445 C1(23,509) = 0.8426785659310816509 C2(23,509) = 1.394699910157493356 C3(23,509) = 2.619548427739563054 C4(23,509) = 4072 Sum = 5088.931665317935275 Averaged sum = 0.5084355745147302703 logp*logq = 19.54180470697326546 -------------- ************************************* p = 23; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 330087415.3070571217 -------------- Searches starting with [23,521]-exponents: u = 409, v = 1 n_start has 560 digits --- performed 5000 steps in the continued fraction search [23,521]-exponents: u = 300, v = 43 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(23,521) = 0.6216507166497538699 D2(23,521) = 0.1041841803210397596 C1(23,521) = 0.7397830555912113986 C2(23,521) = 1.290031531751436208 C3(23,521) = 2.328942531581008315 C4(23,521) = 4168 Sum = 5866.721457209505196 Averaged sum = 0.5867308188028308026 logp*logq = 19.61486807221621865 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(23,521) = 0.6216507166497538699 D2(23,521) = 0.1041841803210397596 C1(23,521) = 0.7397830555912113986 C2(23,521) = 1.290031531751436208 C3(23,521) = 2.328942531581008315 C4(23,521) = 4168 Sum = 5866.721457209505196 Averaged sum = 0.5867308188028308026 logp*logq = 19.61486807221621865 -------------- ************************************* p = 23; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334076803.3689396642 -------------- Searches starting with [23,523]-exponents: u = 547, v = 1 n_start has 748 digits --- performed 5000 steps in the continued fraction search [23,523]-exponents: u = 217, v = 157 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(23,523) = 0.6179031816541480491 D2(23,523) = 0.1932077857123763449 C1(23,523) = 0.7299084696169351270 C2(23,523) = 1.322986557286526387 C3(23,523) = 2.302809199846055255 C4(23,523) = 4184 Sum = 6013.428196572539907 Averaged sum = 0.6014029599532493156 logp*logq = 19.62688147471288432 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(23,523) = 0.6179031816541480491 D2(23,523) = 0.1932077857123763449 C1(23,523) = 0.7299084696169351270 C2(23,523) = 1.322986557286526387 C3(23,523) = 2.302809199846055255 C4(23,523) = 4184 Sum = 6013.428196572539907 Averaged sum = 0.6014029599532493156 logp*logq = 19.62688147471288432 -------------- ************************************* p = 23; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 371470401.9604833546 -------------- Searches starting with [23,541]-exponents: u = 2, v = 139 n_start has 383 digits --- performed 5000 steps in the continued fraction search [23,541]-exponents: u = 120, v = 61 --- starting right neighbors generation We generated 7890 left neighbors We generated 2120 right neighbors We generated 10009 non-negative rho_i D1(23,541) = 0.7862486814050670224 D2(23,541) = 0.0008013924299151171298 C1(23,541) = 0.9456062728072667747 C2(23,541) = 1.281953948976031162 C3(23,541) = 2.946524595180158175 C4(23,541) = 4328 Sum = 5653.798854626185592 Averaged sum = 0.5648715011116181029 logp*logq = 19.73297974724014326 -------------- ************************************* p = 23; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 384541685.0222527035 -------------- Searches starting with [23,547]-exponents: u = 2, v = 93 n_start has 258 digits starting right neighbors generation We generated 3622 left neighbors We generated 6388 right neighbors We generated 10009 non-negative rho_i D1(23,547) = 0.7240087589997435493 D2(23,547) = 0.00008472733966147511050 C1(23,547) = 0.8818545411501710864 C2(23,547) = 1.365871764611308318 C3(23,547) = 2.739489898663594033 C4(23,547) = 4376 Sum = 5466.855528430554339 Averaged sum = 0.5461939782626190767 logp*logq = 19.76756275461557672 -------------- ************************************* p = 23; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 407017499.8376801305 -------------- Searches starting with [23,557]-exponents: u = 2, v = 60 n_start has 168 digits starting right neighbors generation We generated 1491 left neighbors We generated 8519 right neighbors We generated 10009 non-negative rho_i D1(23,557) = 0.7612120116863035952 D2(23,557) = 0.01184669513374539736 C1(23,557) = 0.9419829422050050576 C2(23,557) = 1.479291131392967321 C3(23,557) = 2.934349162038444664 C4(23,557) = 4456 Sum = 5435.729812164421638 Averaged sum = 0.5430842054315537654 logp*logq = 19.82436673962669561 -------------- ************************************* p = 23; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 420923490.3071158240 -------------- Searches starting with [23,563]-exponents: u = 2, v = 50 n_start has 141 digits starting right neighbors generation We generated 1063 left neighbors We generated 8947 right neighbors We generated 10009 non-negative rho_i D1(23,563) = 0.6696739012509633234 D2(23,563) = 0.01823667588404868367 C1(23,563) = 0.8354995732603244063 C2(23,563) = 1.534862431062924132 C3(23,563) = 2.598145416047855170 C4(23,563) = 4504 Sum = 4742.049182228552121 Averaged sum = 0.4737785175570538636 logp*logq = 19.85796164189391521 -------------- ************************************* p = 23; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 435149586.8467749012 -------------- Searches starting with [23,569]-exponents: u = 2, v = 43 n_start has 122 digits starting right neighbors generation We generated 834 left neighbors We generated 9176 right neighbors We generated 10009 non-negative rho_i D1(23,569) = 1.208447762369206108 D2(23,569) = 0.01360455454349487297 C1(23,569) = 1.517679258497176423 C2(23,569) = 1.576870870277128901 C3(23,569) = 5.665435872337969093 C4(23,569) = 4552 Sum = 4265.386492459810744 Averaged sum = 0.4261551096472985057 logp*logq = 19.89120040774921373 -------------- ************************************* p = 23; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 439963423.5507649802 -------------- Searches starting with [23,571]-exponents: u = 2, v = 41 n_start has 116 digits starting right neighbors generation We generated 792 left neighbors We generated 9218 right neighbors We generated 10009 non-negative rho_i D1(23,571) = 1.040533769628359350 D2(23,571) = 0.0009310886924755933685 C1(23,571) = 1.309634091525282974 C2(23,571) = 1.582217452915945869 C3(23,571) = 4.466622637075133965 C4(23,571) = 4568 Sum = 4162.385231758409925 Averaged sum = 0.4158642453550214732 logp*logq = 19.90220215312751690 -------------- ************************************* p = 23; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 454622359.1613275948 -------------- Searches starting with [23,577]-exponents: u = 2, v = 36 n_start has 103 digits **************************************************** Computing .... elapsed time = 5 minutes **************************************************** starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(23,577) = 0.8712376885872226473 D2(23,577) = 0.03040863770492804768 C1(23,577) = 1.103298573189411486 C2(23,577) = 1.642470014374159522 C3(23,577) = 3.528366630110968288 C4(23,577) = 4616 Sum = 3914.247529042636388 Averaged sum = 0.3910727873956075919 logp*logq = 19.93497765242602160 -------------- ************************************* p = 23; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 479787304.9506621360 -------------- Searches starting with [23,587]-exponents: u = 2, v = 30 n_start has 86 digits starting right neighbors generation We generated 423 left neighbors We generated 9587 right neighbors We generated 10009 non-negative rho_i D1(23,587) = 0.8057617636546127761 D2(23,587) = 0.02221422344527445001 C1(23,587) = 1.029760555895629081 C2(23,587) = 1.696124670565266903 C3(23,587) = 3.243966394498230163 C4(23,587) = 4696 Sum = 3594.802708797360037 Averaged sum = 0.3591570295531381793 logp*logq = 19.98885344897576605 -------------- ************************************* p = 23; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 495332645.3488510722 -------------- Searches starting with [23,593]-exponents: u = 2, v = 27 n_start has 78 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(23,593) = 0.7791096457045003639 D2(23,593) = 0.02932669901688445371 C1(23,593) = 0.9678044505680902980 C2(23,593) = 1.733467235002809094 C3(23,593) = 3.022227545015587870 C4(23,593) = 4744 Sum = 5052.312245399748674 Averaged sum = 0.5047769253071983889 logp*logq = 20.02074010564057136 -------------- ************************************* p = 23; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 511217528.9483591692 -------------- Searches starting with [23,599]-exponents: u = 2, v = 25 n_start has 73 digits starting right neighbors generation We generated 308 left neighbors We generated 9702 right neighbors We generated 10009 non-negative rho_i D1(23,599) = 0.7170572932930967819 D2(23,599) = 0.01808543545801889454 C1(23,599) = 0.8708603450481374320 C2(23,599) = 1.756304890466831590 C3(23,599) = 2.705286204539987606 C4(23,599) = 4792 Sum = 4600.357417159852287 Averaged sum = 0.4596220818423271343 logp*logq = 20.05230575024480167 -------------- ************************************* p = 23; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 516588618.7468477188 -------------- Searches starting with [23,601]-exponents: u = 2, v = 24 n_start has 70 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(23,601) = 0.6947507606313846053 D2(23,601) = 0.04780989060412944128 C1(23,601) = 0.8671574289798516482 C2(23,601) = 1.786531650147665532 C3(23,601) = 2.693862584802108708 C4(23,601) = 4808 Sum = 4994.975524702343455 Averaged sum = 0.4990484089022223453 logp*logq = 20.06275740730869958 -------------- ************************************* p = 23; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 532932299.8962091074 -------------- Searches starting with [23,607]-exponents: u = 2, v = 22 n_start has 64 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(23,607) = 0.9327862509018859653 D2(23,607) = 0.01422286772455971879 C1(23,607) = 1.128340883235574750 C2(23,607) = 1.791875201445538423 C3(23,607) = 3.630800234891961196 C4(23,607) = 4856 Sum = 4897.882427060594408 Averaged sum = 0.4893478296593660113 logp*logq = 20.09390495698248307 -------------- ************************************* p = 23; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 549624641.0319007442 -------------- Searches starting with [23,613]-exponents: u = 2, v = 21 n_start has 62 digits starting right neighbors generation We generated 222 left neighbors We generated 9788 right neighbors We generated 10009 non-negative rho_i D1(23,613) = 0.6655134512092030676 D2(23,613) = 0.02761280141318798479 C1(23,613) = 0.8129326963044993522 C2(23,613) = 1.827725505284977498 C3(23,613) = 2.531998114826654317 C4(23,613) = 4904 Sum = 4885.583787085093268 Averaged sum = 0.4881190715441196191 logp*logq = 20.12474613235045825 -------------- ************************************* p = 23; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 560948502.0424985912 -------------- Searches starting with [23,617]-exponents: u = 2, v = 20 n_start has 59 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(23,617) = 0.6554735616479759621 D2(23,617) = 0.008553318049000277313 C1(23,617) = 0.8106155850025072579 C2(23,617) = 1.832412644282772022 C3(23,617) = 2.525302343395760332 C4(23,617) = 4936 Sum = 4996.541575464184871 Averaged sum = 0.4992048731605739705 logp*logq = 20.14513966255770526 -------------- ************************************* p = 23; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 566669558.1166345052 -------------- Searches starting with [23,619]-exponents: u = 2, v = 19 n_start has 56 digits starting right neighbors generation We generated 168 left neighbors We generated 9842 right neighbors We generated 10009 non-negative rho_i D1(23,619) = 1.025699355110114197 D2(23,619) = 0.03185664531709171334 C1(23,619) = 1.341340379221206833 C2(23,619) = 1.856218827700234754 C3(23,619) = 4.631431910097898777 C4(23,619) = 4952 Sum = 5316.939579283813438 Averaged sum = 0.5312158636510953580 logp*logq = 20.15528690188622063 -------------- ************************************* p = 23; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 601832809.9253666626 -------------- Searches starting with [23,631]-exponents: u = 2, v = 17 n_start has 51 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(23,631) = 0.6826755197342298283 D2(23,631) = 0.01165855793888788910 C1(23,631) = 0.8987293309274644219 C2(23,631) = 1.891093506304535125 C3(23,631) = 2.792831684510657677 C4(23,631) = 5048 Sum = 4937.887728550843108 Averaged sum = 0.4933447625687724156 logp*logq = 20.21549024032407130 -------------- ************************************* p = 23; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 632247493.7913368033 -------------- Searches starting with [23,641]-exponents: u = 2, v = 16 n_start has 48 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(23,641) = 0.9804566996168304500 D2(23,641) = 0.02495201768345668432 C1(23,641) = 1.223235404176490599 C2(23,641) = 1.937008862485588587 C3(23,641) = 4.046681978967892414 C4(23,641) = 5128 Sum = 5107.120608617230839 Averaged sum = 0.5102528333117425156 logp*logq = 20.26479147955447445 -------------- ************************************* p = 23; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 638453486.1845818833 -------------- Searches starting with [23,643]-exponents: u = 2, v = 16 n_start has 48 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(23,643) = 1.126470288251760636 D2(23,643) = 0.04460041828384683618 C1(23,643) = 1.333814528680939401 C2(23,643) = 1.957155678042494215 C3(23,643) = 4.591770343308320319 C4(23,643) = 5144 Sum = 3272.352561032278863 Averaged sum = 0.3269410091949524291 logp*logq = 20.27455938220784225 -------------- ************************************* p = 23; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 650989694.5726711939 -------------- Searches starting with [23,647]-exponents: u = 2, v = 15 n_start has 45 digits starting right neighbors generation We generated 106 left neighbors We generated 9904 right neighbors We generated 10009 non-negative rho_i D1(23,647) = 0.6657734737546953651 D2(23,647) = 0.08682234552940299508 C1(23,647) = 0.8487224702144709935 C2(23,647) = 2.000369767570958846 C3(23,647) = 2.637703998375969712 C4(23,647) = 5176 Sum = 4848.440650950180461 Averaged sum = 0.4844080978069917535 logp*logq = 20.29400436989803859 -------------- ************************************* p = 23; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 670106758.6636977332 -------------- Searches starting with [23,653]-exponents: u = 2, v = 14 n_start has 43 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(23,653) = 1.105818566773430443 D2(23,653) = 0.04035187119472305841 C1(23,653) = 1.330518260968373839 C2(23,653) = 1.988964372293340351 C3(23,653) = 4.574505997317385864 C4(23,653) = 5224 Sum = 4711.152611235343657 Averaged sum = 0.4706916386487504902 logp*logq = 20.32294759894491211 -------------- ************************************* p = 23; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 689602635.8728137603 -------------- Searches starting with [23,659]-exponents: u = 2, v = 14 n_start has 43 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(23,659) = 0.6868321155273911196 D2(23,659) = 0.09923850675235677272 C1(23,659) = 0.8513599213144872508 C2(23,659) = 2.049331181343216850 C3(23,659) = 2.645666148237016985 C4(23,659) = 5272 Sum = 5002.001355842003558 Averaged sum = 0.4997503602599663860 logp*logq = 20.35162609962781806 -------------- ************************************* p = 23; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 696186125.6945005932 -------------- Searches starting with [23,661]-exponents: u = 2, v = 14 n_start has 43 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(23,661) = 0.9045117350582692352 D2(23,661) = 0.003759681421544698735 C1(23,661) = 1.211500125931941240 C2(23,661) = 1.992118090619426650 C3(23,661) = 3.992774528278029572 C4(23,661) = 5288 Sum = 4007.190797682138254 Averaged sum = 0.4003587568870155114 logp*logq = 20.36112760452266818 -------------- ************************************* p = 23; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 736588402.1250257016 -------------- Searches starting with [23,673]-exponents: u = 2, v = 13 n_start has 40 digits starting right neighbors generation We generated 92 left neighbors We generated 9918 right neighbors We generated 10009 non-negative rho_i D1(23,673) = 1.165348833550779994 D2(23,673) = 0.1079403492946397752 C1(23,673) = 1.569425951469706147 C2(23,673) = 2.099247343157681321 C3(23,673) = 6.010568105565873460 C4(23,673) = 5384 Sum = 2334.965317270150138 Averaged sum = 0.2332865738105854869 logp*logq = 20.41753981670469820 -------------- ************************************* p = 23; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 750402717.8694727503 -------------- Searches starting with [23,677]-exponents: u = 2, v = 12 n_start has 37 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(23,677) = 0.7955081350501793954 D2(23,677) = 0.01173677147867523520 C1(23,677) = 0.9696526247166217722 C2(23,677) = 2.046995470110730146 C3(23,677) = 3.028617443801434860 C4(23,677) = 5416 Sum = 4745.584467695673487 Averaged sum = 0.4741317282141745916 logp*logq = 20.43612057754401669 -------------- ************************************* p = 23; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 771453443.4690555078 -------------- Searches starting with [23,683]-exponents: u = 2, v = 12 n_start has 37 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(23,683) = 0.6585441986506292461 D2(23,683) = 0.05674590037165213200 C1(23,683) = 0.8212666465828181183 C2(23,683) = 2.093471077773673447 C3(23,683) = 2.556227881774008233 C4(23,683) = 5464 Sum = 4935.123349059024771 Averaged sum = 0.4930685731900314488 logp*logq = 20.46378688247554031 -------------- ************************************* p = 23; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 800141864.3588344914 -------------- Searches starting with [23,691]-exponents: u = 2, v = 11 n_start has 34 digits starting right neighbors generation We generated 58 left neighbors We generated 9952 right neighbors We generated 10009 non-negative rho_i D1(23,691) = 0.7423104981531534655 D2(23,691) = 0.1246650489948112596 C1(23,691) = 0.9273287447186649563 C2(23,691) = 2.163325474872383830 C3(23,691) = 2.885617902188630598 C4(23,691) = 5528 Sum = 5079.090144210841715 Averaged sum = 0.5074523073444741448 logp*logq = 20.50029960035955906 -------------- ************************************* p = 23; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 837013351.2385709196 -------------- Searches starting with [23,701]-exponents: u = 2, v = 11 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(23,701) = 0.7551627981081971694 D2(23,701) = 0.04646373162658165127 C1(23,701) = 1.030442576336389693 C2(23,701) = 2.137093174623864593 C3(23,701) = 3.246495740319540298 C4(23,701) = 5608 Sum = 4687.322421209399429 Averaged sum = 0.4683107624347486691 logp*logq = 20.54535057962709141 -------------- ************************************* p = 23; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 867330826.1082624017 -------------- Searches starting with [23,709]-exponents: u = 2, v = 10 n_start has 32 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(23,709) = 0.6600558070255839506 D2(23,709) = 0.1049599986934009863 C1(23,709) = 0.8092382433084900785 C2(23,709) = 2.197505106738024353 C3(23,709) = 2.521330624096566497 C4(23,709) = 5672 Sum = 4786.003601012149702 Averaged sum = 0.4781700070948296235 logp*logq = 20.58093103763606912 -------------- ************************************* p = 23; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 906268556.7326834569 -------------- Searches starting with [23,719]-exponents: u = 2, v = 10 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(23,719) = 0.6786535874108567067 D2(23,719) = 0.006325364551199171599 C1(23,719) = 0.8260223926984673118 C2(23,719) = 2.159332834622348787 C3(23,719) = 2.570158299328916583 C4(23,719) = 5752 Sum = 4937.880519002341942 Averaged sum = 0.4933440422621982157 logp*logq = 20.62484624031820532 -------------- ************************************* p = 23; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 938263007.5278331781 -------------- Searches starting with [23,727]-exponents: u = 2, v = 9 n_start has 29 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(23,727) = 0.7413187989725906943 D2(23,727) = 0.05312741905329735791 C1(23,727) = 1.019578972794020522 C2(23,727) = 2.208036576923536178 C3(23,727) = 3.206440354773820722 C4(23,727) = 5816 Sum = 4755.142171120412927 Averaged sum = 0.4750866391368181564 logp*logq = 20.65954085948877644 -------------- ************************************* p = 23; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 962757566.5208936664 -------------- Searches starting with [23,733]-exponents: u = 2, v = 9 n_start has 29 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(23,733) = 0.6615813152654652700 D2(23,733) = 0.09130080927676684317 C1(23,733) = 0.8254031995208547361 C2(23,733) = 2.247622451196601773 C3(23,733) = 2.568340283720057902 C4(23,733) = 5864 Sum = 4901.140847614972358 Averaged sum = 0.4896733787206486520 logp*logq = 20.68531218990744623 -------------- ************************************* p = 23; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 987684058.3973739980 -------------- Searches starting with [23,739]-exponents: u = 2, v = 9 n_start has 29 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(23,739) = 0.7297262027512974360 D2(23,739) = 0.1329128053833903174 C1(23,739) = 0.8944490460822174722 C2(23,739) = 2.290635332966976332 C3(23,739) = 2.779204036126699525 C4(23,739) = 5912 Sum = 4966.016844631020072 Averaged sum = 0.4961551448327525299 logp*logq = 20.71087342562192450 -------------- ************************************* p = 23; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1004543665.819697086 -------------- Searches starting with [23,743]-exponents: u = 2, v = 9 n_start has 29 digits starting right neighbors generation We generated 48 left neighbors We generated 9962 right neighbors We generated 10009 non-negative rho_i D1(23,743) = 0.6529195407545606012 D2(23,743) = 0.1592024764947665174 C1(23,743) = 0.8241836454786092771 C2(23,743) = 1.687901308794624426 C3(23,743) = 2.564763306037529416 C4(23,743) = 5944 Sum = 4689.705988887333173 Averaged sum = 0.4685489048743464055 logp*logq = 20.72779921147824136 -------------- ************************************* p = 23; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1038848912.711026411 -------------- Searches starting with [23,751]-exponents: u = 2, v = 8 n_start has 26 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(23,751) = 0.9771557876221442683 D2(23,751) = 0.005448940634932355722 C1(23,751) = 1.356406554810836610 C2(23,751) = 2.235476866808129426 C3(23,751) = 4.711863676556895310 C4(23,751) = 6008 Sum = 4618.454153319059971 Averaged sum = 0.4614301282165111370 logp*logq = 20.76137912242702605 -------------- ************************************* p = 23; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1065095322.126195480 -------------- Searches starting with [23,757]-exponents: u = 2, v = 8 n_start has 26 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(23,757) = 1.243745609196581121 D2(23,757) = 0.03516955881974238245 C1(23,757) = 1.573976691161651955 C2(23,757) = 2.266593605354469369 C3(23,757) = 6.041907637319953347 C4(23,757) = 6056 Sum = 6267.442502442765985 Averaged sum = 0.6261806876254137261 logp*logq = 20.78633013644637032 -------------- ************************************* p = 23; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1082841583.221963734 -------------- Searches starting with [23,761]-exponents: u = 2, v = 8 n_start has 26 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(23,761) = 0.7970333858717847189 D2(23,761) = 0.05590196897341678614 C1(23,761) = 0.9798004673631600883 C2(23,761) = 2.288250583380030271 C3(23,761) = 3.063944220466557687 C4(23,761) = 6088 Sum = 5011.451343806578402 Averaged sum = 0.5006945093222677991 logp*logq = 20.80285451838590824 -------------- ************************************* p = 23; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1118936255.666335100 -------------- Searches starting with [23,769]-exponents: u = 2, v = 8 n_start has 26 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(23,769) = 0.6475883314879292073 D2(23,769) = 0.1000388718667572256 C1(23,769) = 0.7969199754825768503 C2(23,769) = 2.334222025289104544 C3(23,769) = 2.486086117937964697 C4(23,769) = 6152 Sum = 4940.763573773157351 Averaged sum = 0.4936320884976678340 logp*logq = 20.83564429920797231 -------------- ************************************* p = 23; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1137287059.881037115 -------------- Searches starting with [23,773]-exponents: u = 2, v = 8 n_start has 26 digits starting right neighbors generation We generated 43 left neighbors We generated 9967 right neighbors We generated 10009 non-negative rho_i D1(23,773) = 0.6790399179104094876 D2(23,773) = 0.1237102485283337999 C1(23,773) = 0.8616972925962018410 C2(23,773) = 2.358803474411393560 C3(23,773) = 2.677105830489015127 C4(23,773) = 6184 Sum = 4804.869797815778129 Averaged sum = 0.4800549303442679717 logp*logq = 20.85191149116067020 -------------- ************************************* p = 23; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1203128522.716308038 -------------- Searches starting with [23,787]-exponents: u = 2, v = 7 n_start has 23 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(23,787) = 0.7894231160207096718 D2(23,787) = 0.1366066695436597182 C1(23,787) = 1.107839773017322296 C2(23,787) = 1.536696576053221386 C3(23,787) = 3.546725119220458706 C4(23,787) = 6296 Sum = 4690.971848730975492 Averaged sum = 0.4686753770337671587 logp*logq = 20.90819110340813294 -------------- ************************************* p = 23; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1251715944.896607483 -------------- Searches starting with [23,797]-exponents: u = 2, v = 7 n_start has 24 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(23,797) = 0.7706605574029589157 D2(23,797) = 0.009024651076398684323 C1(23,797) = 0.9969558767319198404 C2(23,797) = 2.334982470878324362 C3(23,797) = 3.124605459904592609 C4(23,797) = 6376 Sum = 4348.525469444928283 Averaged sum = 0.4344615315660833533 logp*logq = 20.94778120280991651 -------------- ************************************* p = 23; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1311764186.561756906 -------------- Searches starting with [23,809]-exponents: u = 2, v = 7 n_start has 24 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(23,809) = 0.6514792913719557339 D2(23,809) = 0.05990488762989677354 C1(23,809) = 0.8054218859222655375 C2(23,809) = 2.388549214956853083 C3(23,809) = 2.510358332064834173 C4(23,809) = 6472 Sum = 4932.871985017698751 Averaged sum = 0.4928436392264660556 logp*logq = 20.99463877546156500 -------------- ************************************* p = 23; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1321959232.853366110 -------------- Searches starting with [23,811]-exponents: u = 2, v = 7 n_start has 24 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(23,811) = 1.013267882032716506 D2(23,811) = 0.06884064170538539129 C1(23,811) = 1.314025724975744454 C2(23,811) = 2.397928813653820725 C3(23,811) = 4.489095624953148354 C4(23,811) = 6488 Sum = 4963.414801104414330 Averaged sum = 0.4958951744534333429 logp*logq = 21.00238074042187785 -------------- ************************************* p = 23; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1373744960.908615110 -------------- Searches starting with [23,821]-exponents: u = 2, v = 7 n_start has 24 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(23,821) = 0.9301220980498210073 D2(23,821) = 0.1003677402504375583 C1(23,821) = 1.125739735703658188 C2(23,821) = 1.585015125280909993 C3(23,821) = 3.620023499111604054 C4(23,821) = 6568 Sum = 4538.856769516958578 Averaged sum = 0.4534775471592525305 logp*logq = 21.04080639554698098 -------------- ************************************* p = 23; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1384265261.912858714 -------------- Searches starting with [23,823]-exponents: u = 2, v = 7 n_start has 24 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(23,823) = 0.8197110448768670594 D2(23,823) = 0.09411018139997386615 C1(23,823) = 1.165739359026620284 C2(23,823) = 1.502761766664927819 C3(23,823) = 3.789338854196915247 C4(23,823) = 6584 Sum = 4934.585249937011363 Averaged sum = 0.4930148116632042524 logp*logq = 21.04843533900867266 -------------- ************************************* p = 23; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1405470227.155724283 -------------- Searches starting with [23,827]-exponents: u = 2, v = 7 n_start has 24 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(23,827) = 1.260106998118696603 D2(23,827) = 0.07255342910288579041 C1(23,827) = 1.791899810121591007 C2(23,827) = 1.184726286354343243 C3(23,827) = 7.750516305486881138 C4(23,827) = 6616 Sum = 3073.741834176287186 Averaged sum = 0.3070977954017671282 logp*logq = 21.06363776498846956 -------------- ************************************* p = 23; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1416155193.578633664 -------------- Searches starting with [23,829]-exponents: u = 2, v = 6 n_start has 21 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(23,829) = 1.218399538338916627 D2(23,829) = 0.07650323948306433193 C1(23,829) = 1.732559474016121860 C2(23,829) = 1.212451245527892734 C3(23,829) = 7.242352669966479737 C4(23,829) = 6632 Sum = 3837.588262462927382 Averaged sum = 0.3834137538678117076 logp*logq = 21.07121142619721042 -------------- ************************************* p = 23; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1470410911.847308235 -------------- Searches starting with [23,839]-exponents: u = 2, v = 6 n_start has 21 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(23,839) = 1.011933160810755777 D2(23,839) = 0.1228253226922821706 C1(23,839) = 1.281466967362057703 C2(23,839) = 2.148014985216710376 C3(23,839) = 4.325135818464405801 C4(23,839) = 6712 Sum = 5632.981625806682909 Averaged sum = 0.5627916500955822669 logp*logq = 21.10880773054421955 -------------- ************************************* p = 23; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1548722951.238714956 -------------- Searches starting with [23,853]-exponents: u = 2, v = 6 n_start has 21 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(23,853) = 0.9513380981044863463 D2(23,853) = 0.1126458073911979392 C1(23,853) = 1.151904495363650445 C2(23,853) = 2.141141783406089389 C3(23,853) = 3.729899387432428155 C4(23,853) = 6824 Sum = 4543.726618523265307 Averaged sum = 0.4539640941675757126 logp*logq = 21.16069652585678548 -------------- ************************************* p = 23; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1571608621.430477627 -------------- Searches starting with [23,857]-exponents: u = 2, v = 6 n_start has 21 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(23,857) = 1.578573687097944235 D2(23,857) = 0.1001144439925732225 C1(23,857) = 2.119948976901141575 C2(23,857) = 1.950209412576056063 C3(23,857) = 11.27569721605171065 C4(23,857) = 6856 Sum = 4727.848747237680917 Averaged sum = 0.4723597509479149682 logp*logq = 21.17536553139993420 -------------- ************************************* p = 23; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1583137348.922362953 -------------- Searches starting with [23,859]-exponents: u = 2, v = 6 n_start has 21 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(23,859) = 0.7716365269052940787 D2(23,859) = 0.09883911714997371653 C1(23,859) = 1.036270957208050574 C2(23,859) = 1.949384182160527944 C3(23,859) = 3.268191512522641191 C4(23,859) = 6872 Sum = 4667.406622813739644 Averaged sum = 0.4663209734053091861 logp*logq = 21.18267437903553964 -------------- ************************************* p = 23; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1606367348.184174019 -------------- Searches starting with [23,863]-exponents: u = 2, v = 6 n_start has 21 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(23,863) = 0.7695762389757907678 D2(23,863) = 0.002657498430878334722 C1(23,863) = 0.9772887211164577394 C2(23,863) = 2.451894141820518581 C3(23,863) = 3.055162114237717843 C4(23,863) = 6904 Sum = 4422.654343655050012 Averaged sum = 0.4418677533874562905 logp*logq = 21.19724116117453763 -------------- ************************************* p = 23; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1689500024.781247751 -------------- Searches starting with [23,877]-exponents: u = 2, v = 6 n_start has 21 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(23,877) = 0.9441753012310280356 D2(23,877) = 0.04941049773389771385 C1(23,877) = 1.200793082230150732 C2(23,877) = 2.501627395243797622 C3(23,877) = 3.944217141801880909 C4(23,877) = 7016 Sum = 5366.764755957853386 Averaged sum = 0.5361939010848090105 logp*logq = 21.24769847878641843 -------------- ************************************* p = 23; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1713779434.190662600 -------------- Searches starting with [23,881]-exponents: u = 2, v = 6 n_start has 21 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(23,881) = 0.7330292509261159698 D2(23,881) = 0.06342430111547299787 C1(23,881) = 0.9178472504088706493 C2(23,881) = 2.516483895917978826 C3(23,881) = 2.854520071598683179 C4(23,881) = 7048 Sum = 5036.858264785435984 Averaged sum = 0.5032329168533755603 logp*logq = 21.26196696400514240 -------------- ************************************* p = 23; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1726007769.869717910 -------------- Searches starting with [23,883]-exponents: u = 2, v = 6 n_start has 21 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(23,883) = 0.7442213421890477213 D2(23,883) = 0.06814338850099194350 C1(23,883) = 1.075996730681681380 C2(23,883) = 1.571632830425926651 C3(23,883) = 3.419980562022925970 C4(23,883) = 7064 Sum = 4500.917880297677726 Averaged sum = 0.4496870696670674119 logp*logq = 21.26907693126015564 -------------- ************************************* p = 23; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1750642465.506843120 -------------- Searches starting with [23,887]-exponents: u = 2, v = 6 n_start has 21 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(23,887) = 1.008382845083691153 D2(23,887) = 0.06030520337826171727 C1(23,887) = 1.226501749866281415 C2(23,887) = 1.429843068616129852 C3(23,887) = 4.061815404518485416 C4(23,887) = 7096 Sum = 4824.860542918478685 Averaged sum = 0.4820522073052731227 logp*logq = 21.28324868065538790 -------------- ************************************* p = 23; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1877416115.900588680 -------------- Searches starting with [23,907]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(23,907) = 0.6852294717929989983 D2(23,907) = 0.08055310344347043798 C1(23,907) = 0.8439234299050753841 C2(23,907) = 2.211156671282935851 C3(23,907) = 2.623277686353320546 C4(23,907) = 7256 Sum = 4780.610895615312679 Averaged sum = 0.4776312214622152741 logp*logq = 21.35316226198957866 -------------- ************************************* p = 23; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1903499438.035189503 -------------- Searches starting with [23,911]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(23,911) = 0.8440932097651683908 D2(23,911) = 0.07802512046578469230 C1(23,911) = 1.033466175728411107 C2(23,911) = 2.209544753880346214 C3(23,911) = 3.257732855586689990 C4(23,911) = 7288 Sum = 4830.336287220550109 Averaged sum = 0.4825992893616295442 logp*logq = 21.36695983855966909 -------------- ************************************* p = 23; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1956404467.730951342 -------------- Searches starting with [23,919]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(23,919) = 0.8501644560534909231 D2(23,919) = 0.07304849190106718371 C1(23,919) = 1.119236519473406451 C2(23,919) = 2.206388009307167095 C3(23,919) = 3.593219968202965835 C4(23,919) = 7352 Sum = 3880.689450234911285 Averaged sum = 0.3877199970261675777 logp*logq = 21.39437417027589311 -------------- ************************************* p = 23; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2023932871.530297250 -------------- Searches starting with [23,929]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(23,929) = 0.7731638630527523899 D2(23,929) = 0.06697094771534531422 C1(23,929) = 0.9720454341663478944 C2(23,929) = 2.202562724876941177 C3(23,929) = 3.036910443897916656 C4(23,929) = 7432 Sum = 4459.113168149313317 Averaged sum = 0.4455103574931874630 logp*logq = 21.42830842158164665 -------------- ************************************* p = 23; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2079085255.449414932 -------------- Searches starting with [23,937]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(23,937) = 0.9322029066969078964 D2(23,937) = 0.05646079939182267102 C1(23,937) = 1.267410942630719766 C2(23,937) = 1.996041351133928740 C3(23,937) = 4.256216003238117107 C4(23,937) = 7496 Sum = 4294.777292009731527 Averaged sum = 0.4290915468088451921 logp*logq = 21.45519385289366208 -------------- ************************************* p = 23; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2107041380.194977792 -------------- Searches starting with [23,941]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(23,941) = 1.041944231973140580 D2(23,941) = 0.05433788171143988060 C1(23,941) = 1.296762065747049867 C2(23,941) = 1.994772241796012287 C3(23,941) = 4.401399592896859326 C4(23,941) = 7528 Sum = 5691.615251426590713 Averaged sum = 0.5686497403763203829 logp*logq = 21.46855061096573044 -------------- ************************************* p = 23; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2149453942.763204772 -------------- Searches starting with [23,947]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(23,947) = 1.302786888016920383 D2(23,947) = 0.05119211332738340593 C1(23,947) = 1.598746740877495211 C2(23,947) = 1.992900309679269155 C3(23,947) = 6.215378860040914486 C4(23,947) = 7576 Sum = 5298.017751520837047 Averaged sum = 0.5293253823080064988 logp*logq = 21.48847966671743499 -------------- ************************************* p = 23; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2192444249.157854510 -------------- Searches starting with [23,953]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(23,953) = 0.9484789335640145985 D2(23,953) = 0.04517087742210391209 C1(23,953) = 1.253346190603095580 C2(23,953) = 1.870146880756796491 C3(23,953) = 4.188352633274695818 C4(23,953) = 7624 Sum = 3407.524566242780096 Averaged sum = 0.3404460551746208508 logp*logq = 21.50828285390914215 -------------- ************************************* p = 23; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2295025110.154068664 -------------- Searches starting with [23,967]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(23,967) = 0.9862574224484372048 D2(23,967) = 0.03552558338514323242 C1(23,967) = 1.265027562948789055 C2(23,967) = 1.720560769376796419 C3(23,967) = 4.244639142683436563 C4(23,967) = 7736 Sum = 3923.461158825593171 Averaged sum = 0.3919933218928557469 logp*logq = 21.55400962164266757 -------------- ************************************* p = 23; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2324923231.195205654 -------------- Searches starting with [23,971]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(23,971) = 0.7879812126595094329 D2(23,971) = 0.03284468082653717929 C1(23,971) = 1.001393439003070274 C2(23,971) = 1.670296850631574228 C3(23,971) = 3.140491166070324279 C4(23,971) = 7768 Sum = 3888.331572383035223 Averaged sum = 0.3884835220684419245 logp*logq = 21.56695285659982511 -------------- ************************************* p = 23; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2370266130.457623547 -------------- Searches starting with [23,977]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(23,977) = 1.132639239029864005 D2(23,977) = 0.006843762213020858584 C1(23,977) = 1.413101076143705015 C2(23,977) = 2.625274453617198230 C3(23,977) = 5.027250758380477959 C4(23,977) = 7816 Sum = 4554.435582353382412 Averaged sum = 0.4550340276104888013 logp*logq = 21.58626807712158186 -------------- ************************************* p = 23; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2416207599.928279084 -------------- Searches starting with [23,983]-exponents: u = 2, v = 5 n_start has 18 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(23,983) = 0.9231495189468236250 D2(23,983) = 0.02150179347126737209 C1(23,983) = 1.363302400980261567 C2(23,983) = 2.641110201105876388 C3(23,983) = 4.749142126699861197 C4(23,983) = 7864 Sum = 4953.537125142440107 Averaged sum = 0.4949082950487001805 logp*logq = 21.60546504045008801 -------------- ************************************* p = 23; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2478401219.648590200 -------------- Searches starting with [23,991]-exponents: u = 11, v = 4 n_start has 27 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(23,991) = 1.627693187219839204 D2(23,991) = 0.01742995062461401791 C1(23,991) = 2.403417765416264548 C2(23,991) = 1.118199649788870175 C3(23,991) = 15.58944546206486271 C4(23,991) = 7928 Sum = 3766.409138648037053 Averaged sum = 0.3763022418471412782 logp*logq = 21.63087951973803472 -------------- ************************************* p = 23; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2525755598.016802494 -------------- Searches starting with [23,997]-exponents: u = 11, v = 4 n_start has 27 digits starting right neighbors generation We generated 84 left neighbors We generated 9926 right neighbors We generated 10009 non-negative rho_i D1(23,997) = 1.115227600922760587 D2(23,997) = 0.02992478406002217960 C1(23,997) = 1.354217824610631119 C2(23,997) = 1.409458834054423573 C3(23,997) = 4.700092845178685169 C4(23,997) = 7976 Sum = 4918.678354379376190 Averaged sum = 0.4914255524407409521 logp*logq = 21.64980610164768690 -------------- ************************************* p = 29; q = 31; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105161.3160904648926 -------------- Searches starting with [29,31]-exponents: u = 1, v = 50 n_start has 77 digits starting right neighbors generation We generated 516 left neighbors We generated 9494 right neighbors We generated 10009 non-negative rho_i D1(29,31) = 1.144554443678711251 D2(29,31) = 0.02511526599363835894 C1(29,31) = 1.444381034781523727 C2(29,31) = 1.139548455394911432 C3(29,31) = 5.775572901003258429 C4(29,31) = 248 Sum = 6201.440610427673242 Averaged sum = 0.6195864332528397684 logp*logq = 11.56325079388974223 -------------- ************************************* p = 29; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 190809.1188693075128 -------------- Searches starting with [29,37]-exponents: u = 1, v = 13 n_start has 22 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(29,37) = 0.7942571072686836245 D2(29,37) = 0.003102002363818431857 C1(29,37) = 1.150349285491975027 C2(29,37) = 1.548615317546552010 C3(29,37) = 4.041640074416944843 C4(29,37) = 296 Sum = 5657.394495001150921 Averaged sum = 0.5652307418324658728 logp*logq = 12.15902882967036007 -------------- ************************************* p = 29; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269600.2902373295556 -------------- Searches starting with [29,41]-exponents: u = 1, v = 9 n_start has 16 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(29,41) = 0.7480645300917022650 D2(29,41) = 0.05966219258664161895 C1(29,41) = 0.9384423681929338556 C2(29,41) = 1.767792315194251117 C3(29,41) = 3.124806188822779495 C4(29,41) = 328 Sum = 5611.439817085867642 Averaged sum = 0.5606394062429680929 logp*logq = 12.50469573456766784 -------------- ************************************* p = 29; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 316498.4000184346400 -------------- Searches starting with [29,43]-exponents: u = 1, v = 8 n_start has 15 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(29,43) = 0.7804943017644593534 D2(29,43) = 0.05317440630156624437 C1(29,43) = 1.102388655407872504 C2(29,43) = 1.838949346709436793 C3(29,43) = 3.813018330055274739 C4(29,43) = 344 Sum = 5553.933068524549656 Averaged sum = 0.5548939023403486518 logp*logq = 12.66507346531957642 -------------- ************************************* p = 29; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 427019.9293492617499 -------------- Searches starting with [29,47]-exponents: u = 1, v = 6 n_start has 12 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(29,47) = 1.324542473943685245 D2(29,47) = 0.07346229508061778218 C1(29,47) = 2.097894466794890343 C2(29,47) = 0.9270107904311069547 C3(29,47) = 12.76969322560709026 C4(29,47) = 376 Sum = 5375.568366591013444 Averaged sum = 0.5370734705356192871 logp*logq = 12.96458596407070416 -------------- ************************************* p = 29; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 639951.3292089778496 -------------- Searches starting with [29,53]-exponents: u = 1, v = 5 n_start has 11 digits starting right neighbors generation We generated 12 left neighbors We generated 9998 right neighbors We generated 10009 non-negative rho_i D1(29,53) = 0.8929129809271954735 D2(29,53) = 0.05277427794386277023 C1(29,53) = 1.141022345743938338 C2(29,53) = 1.739875003271937946 C3(29,53) = 3.996130979133467989 C4(29,53) = 424 Sum = 5512.696130991634364 Averaged sum = 0.5507739165742466144 logp*logq = 13.36914740433307828 -------------- ************************************* p = 29; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 918295.7922450073877 -------------- Searches starting with [29,59]-exponents: u = 6, v = 4 n_start has 16 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(29,59) = 0.8414527490697877724 D2(29,59) = 0.08646346918995122682 C1(29,59) = 1.167275769321929940 C2(29,59) = 1.536436680164001779 C3(29,59) = 4.125557581215309295 C4(29,59) = 472 Sum = 5266.278723338908742 Averaged sum = 0.5261543334338004537 logp*logq = 13.73027483147743536 -------------- ************************************* p = 29; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1027386.154250760994 -------------- Searches starting with [29,61]-exponents: u = 6, v = 4 n_start has 16 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(29,61) = 0.8694849297795959402 D2(29,61) = 0.1484138486921587394 C1(29,61) = 1.309935646906370619 C2(29,61) = 1.207208169332463516 C3(29,61) = 4.905740085511817399 C4(29,61) = 488 Sum = 5050.888250371597779 Averaged sum = 0.5046346538486959515 logp*logq = 13.84252842043117380 -------------- ************************************* p = 29; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1409074.866060828797 -------------- Searches starting with [29,67]-exponents: u = 236, v = 4 n_start has 353 digits --- performed 5000 steps in the continued fraction search [29,67]-exponents: u = 128, v = 68 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,67) = 0.7903769537887016909 D2(29,67) = 0.2200424559272336062 C1(29,67) = 0.9660054496791469817 C2(29,67) = 1.197712338118994011 C3(29,67) = 3.231146004601441594 C4(29,67) = 536 Sum = 6069.192056346543025 Averaged sum = 0.6069799036250168042 logp*logq = 14.15844392365010459 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,67) = 0.7903769537887016909 D2(29,67) = 0.2200424559272336062 C1(29,67) = 0.9660054496791469817 C2(29,67) = 1.197712338118994011 C3(29,67) = 3.231146004601441594 C4(29,67) = 536 Sum = 6069.192056346543025 Averaged sum = 0.6069799036250168042 logp*logq = 14.15844392365010459 -------------- ************************************* p = 29; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1712909.893811602059 -------------- Searches starting with [29,71]-exponents: u = 5, v = 15 n_start has 36 digits starting right neighbors generation We generated 180 left neighbors We generated 9830 right neighbors We generated 10009 non-negative rho_i D1(29,71) = 0.7791910999020233318 D2(29,71) = 0.005634503982117219625 C1(29,71) = 1.100548330159784793 C2(29,71) = 1.485159833666196570 C3(29,71) = 3.804508195659712527 C4(29,71) = 568 Sum = 5350.360010776566180 Averaged sum = 0.5345549016661570766 logp*logq = 14.35370417452847726 -------------- ************************************* p = 29; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1880872.240464787265 -------------- Searches starting with [29,73]-exponents: u = 5, v = 7 n_start has 21 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(29,73) = 0.8666241246955534362 D2(29,73) = 0.05471323004281475234 C1(29,73) = 1.107428955822757501 C2(29,73) = 1.790862988490473681 C3(29,73) = 3.836423556992787388 C4(29,73) = 584 Sum = 5000.568217483143412 Averaged sum = 0.4996071752905528436 logp*logq = 14.44724618490507522 -------------- ************************************* p = 29; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2453984.364885894834 -------------- Searches starting with [29,79]-exponents: u = 9, v = 3 n_start has 19 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(29,79) = 1.087283912829222333 D2(29,79) = 0.02979546469756130495 C1(29,79) = 1.368670744234893918 C2(29,79) = 1.833926084334058719 C3(29,79) = 5.268347965766919221 C4(29,79) = 632 Sum = 5721.265083965174796 Averaged sum = 0.5716120575447272251 logp*logq = 14.71322353295555566 -------------- ************************************* p = 29; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2898035.211335905638 -------------- Searches starting with [29,83]-exponents: u = 17, v = 3 n_start has 31 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10009 non-negative rho_i D1(29,83) = 1.041909023033423628 D2(29,83) = 0.03558116213797796311 C1(29,83) = 1.457429457734921184 C2(29,83) = 1.703170273179556288 C3(29,83) = 5.867799409418726907 C4(29,83) = 664 Sum = 4477.055130605722222 Averaged sum = 0.4473029404141994427 logp*logq = 14.87954355200838056 -------------- ************************************* p = 29; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3665834.383916437649 -------------- Searches starting with [29,89]-exponents: u = 1369, v = 3 n_start has 2008 digits --- performed 5000 steps in the continued fraction search [29,89]-exponents: u = 527, v = 631 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,89) = 0.7660068280422837653 D2(29,89) = 0.5703819223018621886 C1(29,89) = 0.8947852399163519893 C2(29,89) = 1.349121715149205969 C3(29,89) = 2.963490230903041565 C4(29,89) = 712 Sum = 6779.760978486929856 Averaged sum = 0.6780439022389168773 logp*logq = 15.11456653012465952 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,89) = 0.7660068280422837653 D2(29,89) = 0.5703819223018621886 C1(29,89) = 0.8947852399163519893 C2(29,89) = 1.349121715149205969 C3(29,89) = 2.963490230903041565 C4(29,89) = 712 Sum = 6779.760978486929856 Averaged sum = 0.6780439022389168773 logp*logq = 15.11456653012465952 -------------- ************************************* p = 29; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4898331.531436380277 -------------- Searches starting with [29,97]-exponents: u = 4, v = 11 n_start has 28 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(29,97) = 0.7712154031998087945 D2(29,97) = 0.1456089522660839947 C1(29,97) = 0.9901570520243742941 C2(29,97) = 1.799779690640241548 C3(29,97) = 3.327294716485913879 C4(29,97) = 776 Sum = 5368.024888034528177 Averaged sum = 0.5363198009825685061 logp*logq = 15.40440520130778320 -------------- ************************************* p = 29; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5612327.475591247671 -------------- Searches starting with [29,101]-exponents: u = 4, v = 8 n_start has 22 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(29,101) = 0.8271943183603218629 D2(29,101) = 0.1185670877151980377 C1(29,101) = 1.105324399529296639 C2(29,101) = 1.905055290844429038 C3(29,101) = 3.826633383163452280 C4(29,101) = 808 Sum = 4542.621917248873762 Averaged sum = 0.4538537233738509104 logp*logq = 15.54047607124459373 -------------- ************************************* p = 29; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5995403.169748464410 -------------- Searches starting with [29,103]-exponents: u = 4, v = 5 n_start has 16 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(29,103) = 0.9032364292602049082 D2(29,103) = 0.1186406513689397433 C1(29,103) = 1.360565984760114717 C2(29,103) = 1.228907403847101740 C3(29,103) = 5.216761280120225638 C4(29,103) = 824 Sum = 5347.262379630079641 Averaged sum = 0.5342454170876290979 logp*logq = 15.60650359518308240 -------------- ************************************* p = 29; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6816093.386879609436 -------------- Searches starting with [29,107]-exponents: u = 4, v = 5 n_start has 16 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(29,107) = 0.8997052437842547597 D2(29,107) = 0.07203714695594179853 C1(29,107) = 1.158586063928363375 C2(29,107) = 1.631495347099688286 C3(29,107) = 4.082260681866179087 C4(29,107) = 856 Sum = 5508.959432930493248 Averaged sum = 0.5504005827685576229 logp*logq = 15.73479704852413240 -------------- ************************************* p = 29; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7254671.475977071852 -------------- Searches starting with [29,109]-exponents: u = 4, v = 5 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(29,109) = 0.6978512906720318433 D2(29,109) = 0.03711098028663197679 C1(29,109) = 0.8736240987274278430 C2(29,109) = 1.394378649085938184 C3(29,109) = 2.888322121374814376 C4(29,109) = 872 Sum = 5043.907744827905548 Averaged sum = 0.5039372309749131330 logp*logq = 15.79715616084607164 -------------- ************************************* p = 29; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8190727.573354490731 -------------- Searches starting with [29,113]-exponents: u = 7, v = 2 n_start has 15 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,113) = 0.8158315694538008920 D2(29,113) = 0.01723543847979505382 C1(29,113) = 1.292165837685691439 C2(29,113) = 1.261433604091414846 C3(29,113) = 4.801034725505338168 C4(29,113) = 904 Sum = 5521.411223824979339 Averaged sum = 0.5516446422045138714 logp*logq = 15.91851328867891785 -------------- ************************************* p = 29; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12137507.09224219728 -------------- Searches starting with [29,127]-exponents: u = 10, v = 2 n_start has 19 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(29,127) = 1.389345987098595154 D2(29,127) = 0.02486882722884967300 C1(29,127) = 1.772129359228361777 C2(29,127) = 1.969915762104810293 C3(29,127) = 8.598260992472642211 C4(29,127) = 1016 Sum = 6731.465601917241456 Averaged sum = 0.6725412730459827611 logp*logq = 16.31181097590634152 -------------- ************************************* p = 29; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13473449.68287062499 -------------- Searches starting with [29,131]-exponents: u = 13, v = 2 n_start has 24 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(29,131) = 0.7857767372093251475 D2(29,131) = 0.1457323535323170685 C1(29,131) = 0.9943187406837271863 C2(29,131) = 1.969696068768056262 C3(29,131) = 3.344149242552750634 C4(29,131) = 1048 Sum = 5179.436635671098405 Averaged sum = 0.5174779334270255175 logp*logq = 16.41623161677645806 -------------- ************************************* p = 29; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15666437.68665578920 -------------- Searches starting with [29,137]-exponents: u = 16, v = 2 n_start has 28 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(29,137) = 0.9525151185118547211 D2(29,137) = 0.1046390460711406842 C1(29,137) = 1.345314561532055074 C2(29,137) = 1.847909254716007278 C3(29,137) = 5.121051860700461877 C4(29,137) = 1096 Sum = 4953.828155079298496 Averaged sum = 0.4949373718732439300 logp*logq = 16.56703125515403680 -------------- ************************************* p = 29; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16449958.26693392128 -------------- Searches starting with [29,139]-exponents: u = 19, v = 2 n_start has 33 digits starting right neighbors generation We generated 108 left neighbors We generated 9902 right neighbors We generated 10009 non-negative rho_i D1(29,139) = 0.6840280245965572933 D2(29,139) = 0.02963433711299719280 C1(29,139) = 0.8709656678966644430 C2(29,139) = 1.776400425645326748 C3(29,139) = 2.879014722099037917 C4(29,139) = 1112 Sum = 5210.911595856882240 Averaged sum = 0.5206225992463664941 logp*logq = 16.61583349820793364 -------------- ************************************* p = 29; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20785527.92112580119 -------------- Searches starting with [29,149]-exponents: u = 52, v = 2 n_start has 81 digits starting right neighbors generation We generated 631 left neighbors We generated 9379 right neighbors We generated 10009 non-negative rho_i D1(29,149) = 0.6956004722588911067 D2(29,149) = 0.03924717240995146641 C1(29,149) = 0.8763354841177015412 C2(29,149) = 1.503338255791107402 C3(29,149) = 2.897845914233899730 C4(29,149) = 1192 Sum = 5115.373070394124988 Averaged sum = 0.5110773374357203505 logp*logq = 16.84976752948636553 -------------- ************************************* p = 29; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21740022.45144818190 -------------- Searches starting with [29,151]-exponents: u = 73, v = 2 n_start has 112 digits starting right neighbors generation We generated 1233 left neighbors We generated 8777 right neighbors We generated 10009 non-negative rho_i D1(29,151) = 1.126896863799307667 D2(29,151) = 0.02133300079400171145 C1(29,151) = 1.400316414151024982 C2(29,151) = 1.408527468521945517 C3(29,151) = 5.474703717223732240 C4(29,151) = 1208 Sum = 5438.594478822502666 Averaged sum = 0.5433704145091919938 logp*logq = 16.89466547238211158 -------------- ************************************* p = 29; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24788128.71628335438 -------------- Searches starting with [29,157]-exponents: u = 3, v = 317 n_start has 701 digits --- performed 5000 steps in the continued fraction search [29,157]-exponents: u = 17, v = 297 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,157) = 0.7918393442855108663 D2(29,157) = 0.2952717943521403415 C1(29,157) = 0.9477704375197013813 C2(29,157) = 1.269802589739365979 C3(29,157) = 3.160396719673293560 C4(29,157) = 1256 Sum = 6164.596652542699036 Averaged sum = 0.6165213173860085045 logp*logq = 17.02587541573595878 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,157) = 0.7918393442855108663 D2(29,157) = 0.2952717943521403415 C1(29,157) = 0.9477704375197013813 C2(29,157) = 1.269802589739365979 C3(29,157) = 3.160396719673293560 C4(29,157) = 1256 Sum = 6164.596652542699036 Averaged sum = 0.6165213173860085045 logp*logq = 17.02587541573595878 -------------- ************************************* p = 29; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28124842.26645685698 -------------- Searches starting with [29,163]-exponents: u = 3, v = 39 n_start has 91 digits starting right neighbors generation We generated 802 left neighbors We generated 9208 right neighbors We generated 10009 non-negative rho_i D1(29,163) = 0.8027247248989250527 D2(29,163) = 0.03367715566682187851 C1(29,163) = 1.041744772522340726 C2(29,163) = 1.487001984398604413 C3(29,163) = 3.542358483531310307 C4(29,163) = 1304 Sum = 4047.409766716205366 Averaged sum = 0.4043770373380163219 logp*logq = 17.15216381016937552 -------------- ************************************* p = 29; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30517145.23372665652 -------------- Searches starting with [29,167]-exponents: u = 3, v = 25 n_start has 60 digits starting right neighbors generation We generated 387 left neighbors We generated 9623 right neighbors We generated 10009 non-negative rho_i D1(29,167) = 1.010603891496543096 D2(29,167) = 0.006854167710068132949 C1(29,167) = 1.347916530357703023 C2(29,167) = 1.611853346424418379 C3(29,167) = 5.137255234972853505 C4(29,167) = 1336 Sum = 3403.130313963769183 Averaged sum = 0.3400070250738104889 logp*logq = 17.23379922244751585 -------------- ************************************* p = 29; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34368716.23679092209 -------------- Searches starting with [29,173]-exponents: u = 3, v = 15 n_start has 38 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(29,173) = 0.6662402343575402892 D2(29,173) = 0.06903488227017579071 C1(29,173) = 0.8415095315717198077 C2(29,173) = 1.779744183583450184 C3(29,173) = 2.777871912951907122 C4(29,173) = 1384 Sum = 5184.385872260029631 Averaged sum = 0.5179724120551533251 logp*logq = 17.35265729685671871 -------------- ************************************* p = 29; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38549843.27779881728 -------------- Searches starting with [29,179]-exponents: u = 3, v = 11 n_start has 30 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(29,179) = 1.132890304283321910 D2(29,179) = 0.1349872145030484413 C1(29,179) = 1.473093269857706273 C2(29,179) = 1.920063008432946204 C3(29,179) = 5.980458676595044134 C4(29,179) = 1432 Sum = 5171.654322238940585 Averaged sum = 0.5167004018622180622 logp*logq = 17.46746259253859950 -------------- ************************************* p = 29; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40019499.29124623700 -------------- Searches starting with [29,181]-exponents: u = 3, v = 11 n_start has 30 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(29,181) = 0.8543364609495343945 D2(29,181) = 0.02233676089853722419 C1(29,181) = 1.086006425404582625 C2(29,181) = 1.899110535406932348 C3(29,181) = 3.737927296039941920 C4(29,181) = 1448 Sum = 5477.443374509949003 Averaged sum = 0.5472518108212557700 logp*logq = 17.50487737557847993 -------------- ************************************* p = 29; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47963862.09068653314 -------------- Searches starting with [29,191]-exponents: u = 3, v = 7 n_start has 21 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(29,191) = 0.8252592711388814138 D2(29,191) = 0.008935105695711978165 C1(29,191) = 1.098761534101321234 C2(29,191) = 2.020877784425533727 C3(29,191) = 3.796263767114252448 C4(29,191) = 1528 Sum = 4193.816032909842888 Averaged sum = 0.4190044992416667887 logp*logq = 17.68595841221017971 -------------- ************************************* p = 29; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49676111.79894884327 -------------- Searches starting with [29,193]-exponents: u = 3, v = 7 n_start has 21 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(29,193) = 0.8729625563337697813 D2(29,193) = 0.03880200977201262700 C1(29,193) = 1.202230482502395149 C2(29,193) = 2.052700887729902368 C3(29,193) = 4.304409871111233897 C4(29,193) = 1544 Sum = 4694.446479714107999 Averaged sum = 0.4690225276964839643 logp*logq = 17.72103472761015038 -------------- ************************************* p = 29; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53228785.28394048751 -------------- Searches starting with [29,197]-exponents: u = 3, v = 7 n_start has 21 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(29,197) = 1.094713086017954865 D2(29,197) = 0.09039734886950444333 C1(29,197) = 1.389358064577058898 C2(29,197) = 1.356892589559898360 C3(29,197) = 5.402347151852145797 C4(29,197) = 1576 Sum = 4851.106742181622833 Averaged sum = 0.4846744671976843674 logp*logq = 17.79010988474841939 -------------- ************************************* p = 29; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55070418.63841161537 -------------- Searches starting with [29,199]-exponents: u = 3, v = 5 n_start has 16 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(29,199) = 1.203115776362567395 D2(29,199) = 0.06991678084735111766 C1(29,199) = 1.812281201266298786 C2(29,199) = 1.088791493369376727 C3(29,199) = 9.027800181264308433 C4(29,199) = 1592 Sum = 4769.892386653937668 Averaged sum = 0.4765603343644657476 logp*logq = 17.82412326314206704 -------------- ************************************* p = 29; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67072828.23098585717 -------------- Searches starting with [29,211]-exponents: u = 3, v = 5 n_start has 17 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(29,211) = 0.7383683032173667672 D2(29,211) = 0.04089181086407044314 C1(29,211) = 0.9380860493737323831 C2(29,211) = 1.625068284414213458 C3(29,211) = 3.123454658028973066 C4(29,211) = 1688 Sum = 5163.830849153198095 Averaged sum = 0.5159187580330900284 logp*logq = 18.02128957553315303 -------------- ************************************* p = 29; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80804802.45572084008 -------------- Searches starting with [29,223]-exponents: u = 8, v = 3 n_start has 19 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(29,223) = 0.7729474630540583304 D2(29,223) = 0.03086467866175541972 C1(29,223) = 0.9563090061021963822 C2(29,223) = 1.448468639355283300 C3(29,223) = 3.193330210537251624 C4(29,223) = 1784 Sum = 4811.514385581262836 Averaged sum = 0.4807187916456452029 logp*logq = 18.20754695805823365 -------------- ************************************* p = 29; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85789876.82289467530 -------------- Searches starting with [29,227]-exponents: u = 8, v = 3 n_start has 19 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(29,227) = 1.309378106477510118 D2(29,227) = 0.05955411689071778645 C1(29,227) = 1.781490185271661011 C2(29,227) = 1.638819820188754902 C3(29,227) = 8.696538258217893915 C4(29,227) = 1816 Sum = 3902.223118004631206 Averaged sum = 0.3898714275156989915 logp*logq = 18.26741157175017660 -------------- ************************************* p = 29; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88361723.68694297501 -------------- Searches starting with [29,229]-exponents: u = 8, v = 3 n_start has 19 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(29,229) = 0.9409162627418325243 D2(29,229) = 0.07697870659861812005 C1(29,229) = 1.208911015983043196 C2(29,229) = 1.751738782458408856 C3(29,229) = 4.339464489974384505 C4(29,229) = 1832 Sum = 4855.526736856861248 Averaged sum = 0.4851160692233850782 logp*logq = 18.29694944387393997 -------------- ************************************* p = 29; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93667239.45486446817 -------------- Searches starting with [29,233]-exponents: u = 8, v = 3 n_start has 19 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(29,233) = 0.8673414112673840243 D2(29,233) = 0.1153570988637012986 C1(29,233) = 1.165975162250377607 C2(29,233) = 1.941927353499847935 C3(29,233) = 4.119048136367956442 C4(29,233) = 1864 Sum = 4265.467506390975623 Averaged sum = 0.4261632037557174166 logp*logq = 18.35525905378770155 -------------- ************************************* p = 29; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102039737.7834555923 -------------- Searches starting with [29,239]-exponents: u = 13, v = 3 n_start has 27 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(29,239) = 1.036365071256320371 D2(29,239) = 0.1096158452360127615 C1(29,239) = 1.288157857666549623 C2(29,239) = 1.312964799406680996 C3(29,239) = 4.777729023317593171 C4(29,239) = 1912 Sum = 5012.377199608694319 Averaged sum = 0.5007870116503840862 logp*logq = 18.44087288149188982 -------------- ************************************* p = 29; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104943623.2464721166 -------------- Searches starting with [29,241]-exponents: u = 13, v = 3 n_start has 27 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(29,241) = 0.7802443076698010052 D2(29,241) = 0.1192419503363109177 C1(29,241) = 0.9673627765148570660 C2(29,241) = 2.039492546149951320 C3(29,241) = 3.236475142391244535 C4(29,241) = 1928 Sum = 4955.668687677924311 Averaged sum = 0.4951212596341217215 logp*logq = 18.46893384246568270 -------------- ************************************* p = 29; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120340362.5811734403 -------------- Searches starting with [29,251]-exponents: u = 18, v = 3 n_start has 34 digits starting right neighbors generation We generated 137 left neighbors We generated 9873 right neighbors We generated 10009 non-negative rho_i D1(29,251) = 0.7896178066023682780 D2(29,251) = 0.002161093225017952691 C1(29,251) = 1.020135981118808397 C2(29,251) = 1.931957863653496447 C3(29,251) = 3.450631624692707117 C4(29,251) = 2008 Sum = 4991.117876351054445 Averaged sum = 0.4986629909432565136 logp*logq = 18.60583464072496258 -------------- ************************************* p = 29; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130304002.7276693870 -------------- Searches starting with [29,257]-exponents: u = 28, v = 3 n_start has 49 digits starting right neighbors generation We generated 271 left neighbors We generated 9739 right neighbors We generated 10009 non-negative rho_i D1(29,257) = 0.7569491734095503324 D2(29,257) = 0.03714453558852747390 C1(29,257) = 0.9499323722451217749 C2(29,257) = 1.842912928125043017 C3(29,257) = 3.168703109586328909 C4(29,257) = 2056 Sum = 5132.980758167442440 Averaged sum = 0.5128365229460927605 logp*logq = 18.68538076094534296 -------------- ************************************* p = 29; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140833800.9713494773 -------------- Searches starting with [29,263]-exponents: u = 43, v = 3 n_start has 71 digits starting right neighbors generation We generated 591 left neighbors We generated 9419 right neighbors We generated 10009 non-negative rho_i D1(29,263) = 0.8107116940716056369 D2(29,263) = 0.004875485454735874975 C1(29,263) = 1.010184461895708501 C2(29,263) = 1.726155984674107258 C3(29,263) = 3.409191119925541143 C4(29,263) = 2104 Sum = 5076.139477756566208 Averaged sum = 0.5071575060202384063 logp*logq = 18.76309103659450359 -------------- ************************************* p = 29; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 151947906.3233436298 -------------- Searches starting with [29,269]-exponents: u = 103, v = 3 n_start has 158 digits starting right neighbors generation We generated 2938 left neighbors We generated 7072 right neighbors We generated 10009 non-negative rho_i D1(29,269) = 0.7532728954139636332 D2(29,269) = 0.009615621322653053220 C1(29,269) = 0.9486032692922333529 C2(29,269) = 1.504802337770260061 C3(29,269) = 3.163593969037983268 C4(29,269) = 2152 Sum = 5362.339575752720992 Averaged sum = 0.5357517809723969420 logp*logq = 18.83904829851114597 -------------- ************************************* p = 29; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155785613.0384795633 -------------- Searches starting with [29,271]-exponents: u = 183, v = 3 n_start has 275 digits --- performed 5000 steps in the continued fraction search [29,271]-exponents: u = 30, v = 63 --- starting right neighbors generation We generated 9001 left neighbors We generated 1009 right neighbors We generated 10009 non-negative rho_i D1(29,271) = 0.6822843837719885306 D2(29,271) = 0.004497663193959401163 C1(29,271) = 0.8404779326838422561 C2(29,271) = 1.376150885920672129 C3(29,271) = 2.774394877055060490 C4(29,271) = 2168 Sum = 5551.633131803430566 Averaged sum = 0.5546641154764142837 logp*logq = 18.86399134463695967 -------------- ************************************* p = 29; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167707290.0040124387 -------------- Searches starting with [29,277]-exponents: u = 5, v = 94 n_start has 237 digits --- performed 5000 steps in the continued fraction search [29,277]-exponents: u = 21, v = 44 --- starting right neighbors generation We generated 6699 left neighbors We generated 3311 right neighbors We generated 10009 non-negative rho_i D1(29,277) = 0.7734450492658398592 D2(29,277) = 0.003485579398590679477 C1(29,277) = 0.9591658673143635917 C2(29,277) = 1.416911160688369021 C3(29,277) = 3.204425647494127409 C4(29,277) = 2216 Sum = 5361.599388323198817 Averaged sum = 0.5356778287864121108 logp*logq = 18.93773069635555382 -------------- ************************************* p = 29; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 176002395.9095632711 -------------- Searches starting with [29,281]-exponents: u = 5, v = 40 n_start has 106 digits starting right neighbors generation We generated 1227 left neighbors We generated 8783 right neighbors We generated 10009 non-negative rho_i D1(29,281) = 1.007472284010537753 D2(29,281) = 0.02905986465919866397 C1(29,281) = 1.293485299428968336 C2(29,281) = 1.609975605468782504 C3(29,281) = 4.808732011009929871 C4(29,281) = 2248 Sum = 5946.590644006753016 Averaged sum = 0.5941243524834402054 logp*logq = 18.98600816603228676 -------------- ************************************* p = 29; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180256212.0113867466 -------------- Searches starting with [29,283]-exponents: u = 5, v = 31 n_start has 84 digits starting right neighbors generation We generated 819 left neighbors We generated 9191 right neighbors We generated 10009 non-negative rho_i D1(29,283) = 0.8882386107342735477 D2(29,283) = 0.001506400394467670445 C1(29,283) = 1.154972645596659105 C2(29,283) = 1.685770743224964631 C3(29,283) = 4.064390675080327301 C4(29,283) = 2264 Sum = 5399.407441669365757 Averaged sum = 0.5394552344559262420 logp*logq = 19.00988979684415072 -------------- ************************************* p = 29; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 202615679.8547023310 -------------- Searches starting with [29,293]-exponents: u = 5, v = 16 n_start has 47 digits starting right neighbors generation We generated 257 left neighbors We generated 9753 right neighbors We generated 10009 non-negative rho_i D1(29,293) = 1.047522905246077804 D2(29,293) = 0.02301058619729363356 C1(29,293) = 1.296020394722430551 C2(29,293) = 1.884690518482899191 C3(29,293) = 4.823555533774005285 C4(29,293) = 2344 Sum = 5140.593403976124027 Averaged sum = 0.5135971030049079855 logp*logq = 19.12682153994656128 -------------- ************************************* p = 29; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 237099523.0458913897 -------------- Searches starting with [29,307]-exponents: u = 5, v = 7 n_start has 25 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(29,307) = 0.9491677305629337253 D2(29,307) = 0.01546917267156958640 C1(29,307) = 1.160575982897932909 C2(29,307) = 2.033819264443885812 C3(29,307) = 4.092135267735165981 C4(29,307) = 2456 Sum = 4891.006491530733209 Averaged sum = 0.4886608543841276060 logp*logq = 19.28399053941780035 -------------- ************************************* p = 29; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247663304.4047483843 -------------- Searches starting with [29,311]-exponents: u = 5, v = 7 n_start has 25 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(29,311) = 1.011883303565514717 D2(29,311) = 0.04385458677443400327 C1(29,311) = 1.296432468096752442 C2(29,311) = 2.064703915053131170 C3(29,311) = 4.825969373976312347 C4(29,311) = 2488 Sum = 5169.176925341854599 Averaged sum = 0.5164528849377414926 logp*logq = 19.32758073816705503 -------------- ************************************* p = 29; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 253067305.7035619102 -------------- Searches starting with [29,313]-exponents: u = 5, v = 7 n_start has 25 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(29,313) = 0.7351646464987127910 D2(29,313) = 0.05854814652615918502 C1(29,313) = 1.000235134062610556 C2(29,313) = 2.080634797334356420 C3(29,313) = 3.368257258167638736 C4(29,313) = 2504 Sum = 4760.723534965782511 Averaged sum = 0.4756442736502929874 logp*logq = 19.34916604176083038 -------------- ************************************* p = 29; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 264123123.2871293031 -------------- Searches starting with [29,317]-exponents: u = 5, v = 7 n_start has 25 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(29,317) = 0.6793721687491987564 D2(29,317) = 0.08910156140400445138 C1(29,317) = 0.8377055950835876101 C2(29,317) = 2.113638792277129111 C3(29,317) = 2.765072176634246885 C4(29,317) = 2536 Sum = 5028.695098784353208 Averaged sum = 0.5024173342775854938 logp*logq = 19.39192592847867519 -------------- ************************************* p = 29; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 305496539.9018966170 -------------- Searches starting with [29,331]-exponents: u = 12, v = 4 n_start has 28 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(29,331) = 1.261624228668712230 D2(29,331) = 0.06602171637801009336 C1(29,331) = 1.586250901561348281 C2(29,331) = 2.037781785537264486 C3(29,331) = 6.861204975956003578 C4(29,331) = 2648 Sum = 5897.235979229731854 Averaged sum = 0.5891933239314348940 logp*logq = 19.53744901049507929 -------------- ************************************* p = 29; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 324547019.3812831971 -------------- Searches starting with [29,337]-exponents: u = 19, v = 4 n_start has 38 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(29,337) = 0.8507778454175150318 D2(29,337) = 0.03305765095407790634 C1(29,337) = 1.059805087736481043 C2(29,337) = 1.847415683041690150 C3(29,337) = 3.620890365299169943 C4(29,337) = 2696 Sum = 5171.604060758441832 Averaged sum = 0.5166953802336339127 logp*logq = 19.59794098155096578 -------------- ************************************* p = 29; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 358130119.1893397407 -------------- Searches starting with [29,347]-exponents: u = 33, v = 4 n_start has 59 digits starting right neighbors generation We generated 401 left neighbors We generated 9609 right neighbors We generated 10009 non-negative rho_i D1(29,347) = 0.8707445683226255484 D2(29,347) = 0.07789624097730260849 C1(29,347) = 1.173097607017528090 C2(29,347) = 1.896942541724639907 C3(29,347) = 4.154821774684490376 C4(29,347) = 2776 Sum = 3946.550624329668015 Averaged sum = 0.3943001922599328620 logp*logq = 19.69640693975160877 -------------- ************************************* p = 29; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365128267.6025692032 -------------- Searches starting with [29,349]-exponents: u = 33, v = 4 n_start has 59 digits starting right neighbors generation We generated 401 left neighbors We generated 9609 right neighbors We generated 10009 non-negative rho_i D1(29,349) = 0.7483739151522972077 D2(29,349) = 0.05629902383132224325 C1(29,349) = 0.9946964949928637814 C2(29,349) = 1.876571742137865068 C3(29,349) = 3.345683339157124516 C4(29,349) = 2792 Sum = 4779.838449695279817 Averaged sum = 0.4775540463278329321 logp*logq = 19.71575926790312186 -------------- ************************************* p = 29; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 379412068.6764695037 -------------- Searches starting with [29,353]-exponents: u = 54, v = 4 n_start has 90 digits starting right neighbors generation We generated 1025 left neighbors We generated 8985 right neighbors We generated 10009 non-negative rho_i D1(29,353) = 1.052346660133593727 D2(29,353) = 0.01654865748988138741 C1(29,353) = 1.288637396833035556 C2(29,353) = 1.839252959242701160 C3(29,353) = 4.780511490597793104 C4(29,353) = 2824 Sum = 4650.722346208072425 Averaged sum = 0.4646540459794257593 logp*logq = 19.75413342486034311 -------------- ************************************* p = 29; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 401567800.5534605409 -------------- Searches starting with [29,359]-exponents: u = 152, v = 4 n_start has 233 digits --- performed 5000 steps in the continued fraction search [29,359]-exponents: u = 68, v = 8 --- starting right neighbors generation We generated 6930 left neighbors We generated 3080 right neighbors We generated 10009 non-negative rho_i D1(29,359) = 0.6733351874388847485 D2(29,359) = 0.01249980737163357719 C1(29,359) = 0.8989781415933315789 C2(29,359) = 1.603851065661791711 C3(29,359) = 2.978614768365051961 C4(29,359) = 2872 Sum = 5327.638906130640826 Averaged sum = 0.5322848342622280773 logp*logq = 19.81088694522264379 -------------- ************************************* p = 29; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 432503218.3219625606 -------------- Searches starting with [29,367]-exponents: u = 7, v = 65 n_start has 177 digits starting right neighbors generation We generated 4037 left neighbors We generated 5973 right neighbors We generated 10009 non-negative rho_i D1(29,367) = 0.6555781664877857914 D2(29,367) = 0.006394484537977154554 C1(29,367) = 0.8963745323586951317 C2(29,367) = 1.690160351402176667 C3(29,367) = 2.969214030542923227 C4(29,367) = 2936 Sum = 4870.985417345298923 Averaged sum = 0.4866605472420120814 logp*logq = 19.88510032551537232 -------------- ************************************* p = 29; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 456777207.6640058150 -------------- Searches starting with [29,373]-exponents: u = 7, v = 29 n_start has 85 digits starting right neighbors generation We generated 870 left neighbors We generated 9140 right neighbors We generated 10009 non-negative rho_i D1(29,373) = 0.9836883470841210338 D2(29,373) = 0.05206672945269026771 C1(29,373) = 1.287444702372050560 C2(29,373) = 1.824657933184047625 C3(29,373) = 4.773594021950602996 C4(29,373) = 2984 Sum = 3891.587773854169108 Averaged sum = 0.3888088494209380665 logp*logq = 19.93970631940451505 -------------- ************************************* p = 29; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 481993363.7505796220 -------------- Searches starting with [29,379]-exponents: u = 7, v = 17 n_start has 55 digits starting right neighbors generation We generated 357 left neighbors We generated 9653 right neighbors We generated 10009 non-negative rho_i D1(29,379) = 0.7443739581868704237 D2(29,379) = 0.03711470716190717346 C1(29,379) = 0.9593128245032839166 C2(29,379) = 1.939060057186222939 C3(29,379) = 3.204997439151966313 C4(29,379) = 3032 Sum = 4579.003923601571301 Averaged sum = 0.4574886525728415727 logp*logq = 19.99344090376776809 -------------- ************************************* p = 29; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 499337818.5194225302 -------------- Searches starting with [29,383]-exponents: u = 7, v = 13 n_start has 44 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(29,383) = 0.7042813605317373237 D2(29,383) = 0.06499276978176276823 C1(29,383) = 0.9196574567537609998 C2(29,383) = 1.968868870034002116 C3(29,383) = 3.054345445576353605 C4(29,383) = 3064 Sum = 4682.222052167635799 Averaged sum = 0.4678011841510276550 logp*logq = 20.02879341568163140 -------------- ************************************* p = 29; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 526170496.2613830933 -------------- Searches starting with [29,389]-exponents: u = 7, v = 9 n_start has 34 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(29,389) = 0.6713792962733237159 D2(29,389) = 0.1100330709612273574 C1(29,389) = 0.8347185227100931554 C2(29,389) = 2.016767002918648869 C3(29,389) = 2.755062432480802766 C4(29,389) = 3112 Sum = 4979.661626741715992 Averaged sum = 0.4975183961176657001 logp*logq = 20.08113585555986810 -------------- ************************************* p = 29; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 563503264.6008614463 -------------- Searches starting with [29,397]-exponents: u = 7, v = 9 n_start has 34 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(29,397) = 0.9628115901688816681 D2(29,397) = 0.1191128065973729474 C1(29,397) = 1.384484650199389953 C2(29,397) = 1.289141772768903622 C3(29,397) = 5.370476593846202546 C4(29,397) = 3176 Sum = 4729.105294258549668 Averaged sum = 0.4724852926624587539 logp*logq = 20.14968368486274725 -------------- ************************************* p = 29; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 582850523.3640212933 -------------- Searches starting with [29,401]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(29,401) = 0.8303341491118317118 D2(29,401) = 0.1612812567685972724 C1(29,401) = 1.054927301465040940 C2(29,401) = 2.034199189081336835 C3(29,401) = 3.599510211267054897 C4(29,401) = 3208 Sum = 5306.280747797457115 Averaged sum = 0.5301509389347044774 logp*logq = 20.18344131926918439 -------------- ************************************* p = 29; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 622938258.1013423240 -------------- Searches starting with [29,409]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(29,409) = 1.046578939448127981 D2(29,409) = 0.1019782995351182676 C1(29,409) = 1.441332270462806359 C2(29,409) = 1.841424207335600926 C3(29,409) = 5.754233932212231426 C4(29,409) = 3272 Sum = 3317.855518352393025 Averaged sum = 0.3314872133432303951 logp*logq = 20.24995796766938427 -------------- ************************************* p = 29; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 675725556.8951995102 -------------- Searches starting with [29,419]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(29,419) = 1.314160018016171960 D2(29,419) = 0.04693501250268533327 C1(29,419) = 1.717966396012474752 C2(29,419) = 1.635623705097238514 C3(29,419) = 8.051031158716619273 C4(29,419) = 3352 Sum = 6483.818653786948056 Averaged sum = 0.6477988464169195780 logp*logq = 20.33129757065041023 -------------- ************************************* p = 29; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 686647997.7709802897 -------------- Searches starting with [29,421]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(29,421) = 0.9257379705900666873 D2(29,421) = 0.0006270327472372864206 C1(29,421) = 1.156282399870826098 C2(29,421) = 2.142151202491857055 C3(29,421) = 4.070858952769670862 C4(29,421) = 3368 Sum = 5160.743423967081657 Averaged sum = 0.5156102931328885660 logp*logq = 20.34733234299803400 -------------- ************************************* p = 29; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 743129199.1468676032 -------------- Searches starting with [29,431]-exponents: u = 9, v = 1 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,431) = 1.079139943298253647 D2(29,431) = 0.007451090965444815542 C1(29,431) = 1.675435200424072602 C2(29,431) = 1.222508163524209853 C3(29,431) = 7.645847023545492548 C4(29,431) = 3448 Sum = 5083.845327126164356 Averaged sum = 0.5079273980543675049 logp*logq = 20.42638047605356418 -------------- ************************************* p = 29; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 754804879.7869624078 -------------- Searches starting with [29,433]-exponents: u = 9, v = 1 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,433) = 0.8829095918771955770 D2(29,433) = 0.009839754984869163833 C1(29,433) = 1.370774771344245146 C2(29,433) = 1.358335140416903759 C3(29,433) = 5.281823271997041717 C4(29,433) = 3464 Sum = 5229.292778883404669 Averaged sum = 0.5224590647300833918 logp*logq = 20.44196983644434566 -------------- ************************************* p = 29; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 790605370.0709515584 -------------- Searches starting with [29,439]-exponents: u = 9, v = 1 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,439) = 0.7167169225420103748 D2(29,439) = 0.01697242247913415353 C1(29,439) = 0.9044692821496653320 C2(29,439) = 1.590692644356120381 C3(29,439) = 2.998539084613280355 C4(29,439) = 3512 Sum = 4997.973814408490256 Averaged sum = 0.4993479682694065596 logp*logq = 20.48830950120317319 -------------- ************************************* p = 29; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 815125034.8278321350 -------------- Searches starting with [29,443]-exponents: u = 9, v = 1 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,443) = 1.001630392692934526 D2(29,443) = 0.02243972229439000992 C1(29,443) = 1.335942604303522747 C2(29,443) = 1.734575002130877404 C3(29,443) = 5.063111789921371994 C4(29,443) = 3544 Sum = 4872.927539863795651 Averaged sum = 0.4868545848600055600 logp*logq = 20.51885207640462269 -------------- ************************************* p = 29; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 852899862.0324420027 -------------- Searches starting with [29,449]-exponents: u = 9, v = 1 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,449) = 0.7276708646557112658 D2(29,449) = 0.03032116904781874799 C1(29,449) = 0.9167367395820632924 C2(29,449) = 1.858704019750366194 C3(29,449) = 3.043533697907027643 C4(29,449) = 3592 Sum = 5026.504906251175377 Averaged sum = 0.5021985119643496230 logp*logq = 20.56415270352644757 -------------- ************************************* p = 29; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 905158697.0481538148 -------------- Searches starting with [29,457]-exponents: u = 9, v = 1 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,457) = 0.8675640763644259674 D2(29,457) = 0.04294273350361264854 C1(29,457) = 1.219170335789857191 C2(29,457) = 2.067223666864056839 C3(29,457) = 4.393854648353402957 C4(29,457) = 3656 Sum = 4674.766550939744139 Averaged sum = 0.4670563044199964171 logp*logq = 20.62362084214547315 -------------- ************************************* p = 29; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 932113973.0279493635 -------------- Searches starting with [29,461]-exponents: u = 9, v = 1 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,461) = 1.124869463864759003 D2(29,461) = 0.04766776405155828852 C1(29,461) = 1.472218352141665814 C2(29,461) = 2.073720667771721739 C3(29,461) = 5.974109329098681289 C4(29,461) = 3688 Sum = 5377.019847850231106 Averaged sum = 0.5372184881456919878 logp*logq = 20.65296565382981508 -------------- ************************************* p = 29; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 945800971.0019941381 -------------- Searches starting with [29,463]-exponents: u = 9, v = 1 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,463) = 0.7412779497253206039 D2(29,463) = 0.05003288029193645931 C1(29,463) = 0.9223706208356238086 C2(29,463) = 2.076965872306289677 C3(29,463) = 3.064423292217185746 C4(29,463) = 3704 Sum = 4930.315293274836920 Averaged sum = 0.4925881999475309141 logp*logq = 20.66754271481974173 -------------- ************************************* p = 29; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 973597838.0600698827 -------------- Searches starting with [29,467]-exponents: u = 9, v = 1 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,467) = 0.6524766509670383218 D2(29,467) = 0.05476888934642649541 C1(29,467) = 0.8194310238575458444 C2(29,467) = 2.083450435455406131 C3(29,467) = 2.704398167583808398 C4(29,467) = 3736 Sum = 4944.242796145667642 Averaged sum = 0.4939796978864689421 logp*logq = 20.69650887907233835 -------------- ************************************* p = 29; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1060431444.727619763 -------------- Searches starting with [29,479]-exponents: u = 9, v = 1 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(29,479) = 1.272269506447329058 D2(29,479) = 0.03969538070255864203 C1(29,479) = 1.916521981221816337 C2(29,479) = 1.118654885767867411 C3(29,479) = 10.24580648669889908 C4(29,479) = 3832 Sum = 4308.808015986831229 Averaged sum = 0.4304933575768639453 logp*logq = 20.78194168558680541 -------------- ************************************* p = 29; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1121256733.321148964 -------------- Searches starting with [29,487]-exponents: u = 11, v = 1 n_start has 19 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(29,487) = 0.8403648481624337364 D2(29,487) = 0.03369235413340193962 C1(29,487) = 1.082171797953192680 C2(29,487) = 2.384679701924635726 C3(29,487) = 3.720565226515543331 C4(29,487) = 3896 Sum = 4101.287423386140941 Averaged sum = 0.4097599583760756260 logp*logq = 20.83771597651090906 -------------- ************************************* p = 29; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1152570465.348986168 -------------- Searches starting with [29,491]-exponents: u = 11, v = 1 n_start has 19 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(29,491) = 0.8248432356372118628 D2(29,491) = 0.009514008531196906351 C1(29,491) = 1.086411326087400026 C2(29,491) = 2.362827405212219582 C3(29,491) = 3.739765290284823409 C4(29,491) = 3928 Sum = 4618.386597199664982 Averaged sum = 0.4614233786791552585 logp*logq = 20.86526047226666331 -------------- ************************************* p = 29; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1217034013.946877500 -------------- Searches starting with [29,499]-exponents: u = 11, v = 1 n_start has 19 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(29,499) = 0.6708123337658002622 D2(29,499) = 0.08065303186936349882 C1(29,499) = 0.9271335015934210667 C2(29,499) = 1.850867426998344229 C3(29,499) = 3.082195148515254940 C4(29,499) = 3992 Sum = 4897.005105420813823 Averaged sum = 0.4892601763833363795 logp*logq = 20.91968259957263798 -------------- ************************************* p = 29; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1250197455.057610348 -------------- Searches starting with [29,503]-exponents: u = 11, v = 1 n_start has 19 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(29,503) = 0.6646302105376593303 D2(29,503) = 0.09326266211522472184 C1(29,503) = 0.9185384910781957953 C2(29,503) = 2.040424531891002912 C3(29,503) = 3.050198789821725064 C4(29,503) = 4024 Sum = 4575.727545933173955 Averaged sum = 0.4571613094148440358 logp*logq = 20.94656733983170298 -------------- ************************************* p = 29; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1301126437.663431332 -------------- Searches starting with [29,509]-exponents: u = 11, v = 1 n_start has 19 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(29,509) = 0.6166270643312052983 D2(29,509) = 0.1002227745331848912 C1(29,509) = 0.7842682358832124839 C2(29,509) = 2.049708374731145761 C3(29,509) = 2.591373142918720720 C4(29,509) = 4072 Sum = 4882.071099003780877 Averaged sum = 0.4877681185936438082 logp*logq = 20.98649621673804629 -------------- ************************************* p = 29; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1407331266.425750042 -------------- Searches starting with [29,521]-exponents: u = 13, v = 1 n_start has 22 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(29,521) = 1.102227542648647905 D2(29,521) = 0.06729907553544880867 C1(29,521) = 1.623963176770252558 C2(29,521) = 1.218134653812431816 C3(29,521) = 7.182661013977969051 C4(29,521) = 4168 Sum = 4466.739172270551103 Averaged sum = 0.4462722721820912282 logp*logq = 21.06496102903382321 -------------- ************************************* p = 29; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1425605626.463152389 -------------- Searches starting with [29,523]-exponents: u = 13, v = 1 n_start has 22 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(29,523) = 0.8318390440346433067 D2(29,523) = 0.07949765494387439295 C1(29,523) = 1.225587207942454749 C2(29,523) = 1.411945276538673820 C3(29,523) = 4.428219933731998073 C4(29,523) = 4184 Sum = 4625.855647947094856 Averaged sum = 0.4621696121437800835 logp*logq = 21.07786256140644281 -------------- ************************************* p = 29; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1597657760.595226098 -------------- Searches starting with [29,541]-exponents: u = 13, v = 1 n_start has 22 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(29,541) = 0.6372537328107688437 D2(29,541) = 0.1329119728009042144 C1(29,541) = 0.7902726787756391356 C2(29,541) = 2.020266089326547403 C3(29,541) = 2.610333420201161016 C4(29,541) = 4328 Sum = 4851.524284966810816 Averaged sum = 0.4847161839311430529 logp*logq = 21.19180449401623982 -------------- ************************************* p = 29; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1658109877.807256377 -------------- Searches starting with [29,547]-exponents: u = 13, v = 1 n_start has 22 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(29,547) = 0.7627306321027364693 D2(29,547) = 0.1399233145387380724 C1(29,547) = 0.9695607090547489004 C2(29,547) = 2.029374486022361848 C3(29,547) = 3.245123313287598762 C4(29,547) = 4376 Sum = 5101.120985446371698 Averaged sum = 0.5096534104752094812 logp*logq = 21.22894416275875741 -------------- ************************************* p = 29; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1762409188.776020614 -------------- Searches starting with [29,557]-exponents: u = 15, v = 1 n_start has 25 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(29,557) = 0.7370615845798821257 D2(29,557) = 0.1180924044953305611 C1(29,557) = 0.9349642117522845711 C2(29,557) = 1.591112650942491951 C3(29,557) = 3.111638378178929940 C4(29,557) = 4456 Sum = 5048.688801583098192 Averaged sum = 0.5044149067422418015 logp*logq = 21.28994756722457414 -------------- ************************************* p = 29; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1827155242.456643567 -------------- Searches starting with [29,563]-exponents: u = 15, v = 1 n_start has 25 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(29,563) = 0.7117162881613278488 D2(29,563) = 0.07557298421738653465 C1(29,563) = 0.9094794239082030786 C2(29,563) = 2.258899181788919274 C3(29,563) = 3.016834375127233977 C4(29,563) = 4504 Sum = 4795.913490474495636 Averaged sum = 0.4791601049529918709 logp*logq = 21.32602608197306631 -------------- ************************************* p = 29; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1893555530.466741140 -------------- Searches starting with [29,569]-exponents: u = 15, v = 1 n_start has 25 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(29,569) = 0.6358306836065834748 D2(29,569) = 0.03259686830010846304 C1(29,569) = 0.7944275873367715465 C2(29,569) = 2.218674258614013044 C3(29,569) = 2.623534557649059278 C4(29,569) = 4552 Sum = 4901.901787364290829 Averaged sum = 0.4897494042725837575 logp*logq = 21.36172213176637665 -------------- ************************************* p = 29; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1916060739.083830194 -------------- Searches starting with [29,571]-exponents: u = 15, v = 1 n_start has 25 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(29,571) = 0.6789445780480845321 D2(29,571) = 0.01917956523694536256 C1(29,571) = 0.8405796735203491300 C2(29,571) = 2.206167576666266167 C3(29,571) = 2.774737604147550236 C4(29,571) = 4568 Sum = 4658.867504980682472 Averaged sum = 0.4654678294515618415 logp*logq = 21.37353721697582432 -------------- ************************************* p = 29; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1984704258.301448380 -------------- Searches starting with [29,577]-exponents: u = 15, v = 1 n_start has 25 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(29,577) = 0.9476484625431655304 D2(29,577) = 0.1250959079739568070 C1(29,577) = 1.153161637739155272 C2(29,577) = 1.354401777769463086 C3(29,577) = 4.055463861847007711 C4(29,577) = 4616 Sum = 4784.716459403060828 Averaged sum = 0.4780414086725008320 logp*logq = 21.40873575172447631 -------------- ************************************* p = 29; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2102923784.876637496 -------------- Searches starting with [29,587]-exponents: u = 17, v = 1 n_start has 28 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(29,587) = 0.8204437877592615343 D2(29,587) = 0.1144811992414833068 C1(29,587) = 1.009351257669157729 C2(29,587) = 2.235149690886007786 C3(29,587) = 3.405744120585052669 C4(29,587) = 4696 Sum = 4798.258301847097902 Averaged sum = 0.4793943752469875014 logp*logq = 21.46659449186742208 -------------- ************************************* p = 29; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2176183460.761888710 -------------- Searches starting with [29,593]-exponents: u = 17, v = 1 n_start has 28 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(29,593) = 0.8414238380637088139 D2(29,593) = 0.06490340547146745997 C1(29,593) = 1.034054869465127899 C2(29,593) = 2.188122774391523516 C3(29,593) = 3.509439560683804740 C4(29,593) = 4744 Sum = 4606.135391397930372 Averaged sum = 0.4601993597160485935 logp*logq = 21.50083847339803113 -------------- ************************************* p = 29; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2251219060.276079507 -------------- Searches starting with [29,599]-exponents: u = 17, v = 1 n_start has 28 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(29,599) = 0.9932188279490346478 D2(29,599) = 0.02074215573796323195 C1(29,599) = 1.212419029607834324 C2(29,599) = 2.146486721524999405 C3(29,599) = 4.357986180736958406 C4(29,599) = 4792 Sum = 4809.714595201161526 Averaged sum = 0.4805389744431173470 logp*logq = 21.53473771100678632 -------------- ************************************* p = 29; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2276629828.157584611 -------------- Searches starting with [29,601]-exponents: u = 19, v = 1 n_start has 31 digits starting right neighbors generation We generated 67 left neighbors We generated 9943 right neighbors We generated 10009 non-negative rho_i D1(29,601) = 1.181255194266001687 D2(29,601) = 0.006984256317994733320 C1(29,601) = 1.668333972801678865 C2(29,601) = 2.133564936558051409 C3(29,601) = 7.580210397814920261 C4(29,601) = 4808 Sum = 2153.394191884346392 Averaged sum = 0.2151457879792533112 logp*logq = 21.54596204083298025 -------------- ************************************* p = 29; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2354071630.245864044 -------------- Searches starting with [29,607]-exponents: u = 19, v = 1 n_start has 31 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(29,607) = 0.9643129211185986361 D2(29,607) = 0.1494673743652980162 C1(29,607) = 1.251444734202913361 C2(29,607) = 2.217443513064355947 C3(29,607) = 4.569444133184136043 C4(29,607) = 4856 Sum = 4456.623816421807738 Averaged sum = 0.4452616461606362012 logp*logq = 21.57941227448290819 -------------- ************************************* p = 29; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2433346930.051436944 -------------- Searches starting with [29,613]-exponents: u = 19, v = 1 n_start has 31 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(29,613) = 0.7595350966922389567 D2(29,613) = 0.09248233320616474024 C1(29,613) = 0.9838616397792243681 C2(29,613) = 2.162854912055746277 C3(29,613) = 3.301960072197451524 C4(29,613) = 4904 Sum = 4679.452184494055753 Averaged sum = 0.4675244464476027329 logp*logq = 21.61253348410940716 -------------- ************************************* p = 29; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2487227995.327285616 -------------- Searches starting with [29,617]-exponents: u = 19, v = 1 n_start has 31 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(29,617) = 0.7727906578642432456 D2(29,617) = 0.05877040005604906363 C1(29,617) = 0.9563308708707868290 C2(29,617) = 2.130727609647373027 C3(29,617) = 3.193414982553915455 C4(29,617) = 4936 Sum = 4945.303365982183900 Averaged sum = 0.4940856595046641922 logp*logq = 21.63443467240588010 -------------- ************************************* p = 29; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2514480552.551543316 -------------- Searches starting with [29,619]-exponents: u = 19, v = 1 n_start has 31 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(29,619) = 1.292901286549324420 D2(29,619) = 0.04293115805994991847 C1(29,619) = 1.808500686391493297 C2(29,619) = 2.115676834739628657 C3(29,619) = 8.986457883705428774 C4(29,619) = 4952 Sum = 4826.358404394083163 Averaged sum = 0.4822018587665184496 logp*logq = 21.64533207942490698 -------------- ************************************* p = 29; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2682422512.045482125 -------------- Searches starting with [29,631]-exponents: u = 21, v = 1 n_start has 34 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(29,631) = 0.6838940405667398789 D2(29,631) = 0.1061677188989480212 C1(29,631) = 0.8481112531253214292 C2(29,631) = 2.131599280079362175 C3(29,631) = 2.800226625997528392 C4(29,631) = 5048 Sum = 4896.037713168770560 Averaged sum = 0.4891635241451464242 logp*logq = 21.70998614558237418 -------------- ************************************* p = 29; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2828273068.992001759 -------------- Searches starting with [29,641]-exponents: u = 23, v = 1 n_start has 37 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(29,641) = 1.315135360301638270 D2(29,641) = 0.02012937790115315749 C1(29,641) = 1.649238320092229250 C2(29,641) = 2.049295899530329461 C3(29,641) = 7.406490670226987767 C4(29,641) = 5128 Sum = 5835.683221605247067 Averaged sum = 0.5830435829358824125 logp*logq = 21.76293213936871810 -------------- ************************************* p = 29; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2858097886.919585439 -------------- Searches starting with [29,643]-exponents: u = 23, v = 1 n_start has 37 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(29,643) = 0.7675184998590916720 D2(29,643) = 0.004928698820096207533 C1(29,643) = 0.9345253135009339201 C2(29,643) = 2.034835216657221567 C3(29,643) = 3.109980718785295811 C4(29,643) = 5144 Sum = 4281.442930605165982 Averaged sum = 0.4277593096818029755 logp*logq = 21.77342216601437479 -------------- ************************************* p = 29; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2918409717.870857883 -------------- Searches starting with [29,647]-exponents: u = 23, v = 1 n_start has 37 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(29,647) = 0.7269328517830649273 D2(29,647) = 0.1109345019032120858 C1(29,647) = 0.9035466105771381311 C2(29,647) = 2.097342168757153868 C3(29,647) = 2.995181927560250787 C4(29,647) = 5176 Sum = 4744.791908473069022 Averaged sum = 0.4740525435581046080 logp*logq = 21.79430468770128962 -------------- ************************************* p = 29; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3010547037.260747827 -------------- Searches starting with [29,653]-exponents: u = 25, v = 1 n_start has 40 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(29,653) = 0.7143427810648250370 D2(29,653) = 0.05374406344483092299 C1(29,653) = 0.9140075966314474864 C2(29,653) = 2.042295866860720527 C3(29,653) = 3.033465699919872748 C4(29,653) = 5224 Sum = 4366.302666747260857 Averaged sum = 0.4362376527872175899 logp*logq = 21.82538763914822759 -------------- ************************************* p = 29; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3104710438.077467561 -------------- Searches starting with [29,659]-exponents: u = 25, v = 1 n_start has 40 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(29,659) = 0.7606639501385132226 D2(29,659) = 0.003919171799776392979 C1(29,659) = 0.9495113478806693608 C2(29,659) = 1.994595500497778791 C3(29,659) = 3.167083777877643360 C4(29,659) = 5272 Sum = 4761.668042206861117 Averaged sum = 0.4757386394451854448 logp*logq = 21.85618629132536033 -------------- ************************************* p = 29; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3136552883.059564674 -------------- Searches starting with [29,661]-exponents: u = 25, v = 1 n_start has 40 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(29,661) = 1.200983693930267721 D2(29,661) = 0.1119353874059869561 C1(29,661) = 1.643404828537172829 C2(29,661) = 2.063865168888133243 C3(29,661) = 7.354219520666800008 C4(29,661) = 5288 Sum = 5105.683059180616440 Averaged sum = 0.5101092076311935698 logp*logq = 21.86639022589123671 -------------- ************************************* p = 29; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3332447628.272674949 -------------- Searches starting with [29,673]-exponents: u = 29, v = 1 n_start has 46 digits starting right neighbors generation We generated 127 left neighbors We generated 9883 right neighbors We generated 10009 non-negative rho_i D1(29,673) = 0.9642224423724572530 D2(29,673) = 0.000003330722236931462635 C1(29,673) = 1.174315781857631621 C2(29,673) = 1.956029382402064898 C3(29,673) = 4.160971295273142352 C4(29,673) = 5384 Sum = 4467.141240528709038 Averaged sum = 0.4463124428543020320 logp*logq = 21.92697289444658963 -------------- ************************************* p = 29; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3399612523.848238010 -------------- Searches starting with [29,677]-exponents: u = 29, v = 1 n_start has 46 digits starting right neighbors generation We generated 102 left neighbors We generated 9908 right neighbors We generated 10009 non-negative rho_i D1(29,677) = 0.8654473169957073113 D2(29,677) = 0.07078952996347995789 C1(29,677) = 1.122081370203324269 C2(29,677) = 1.993132057195481794 C3(29,677) = 3.905282836678934254 C4(29,677) = 5416 Sum = 4721.184579463999121 Averaged sum = 0.4716939334063342113 logp*logq = 21.94692729850013770 -------------- ************************************* p = 29; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3502136070.229767715 -------------- Searches starting with [29,683]-exponents: u = 31, v = 1 n_start has 49 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(29,683) = 0.7009138646473403960 D2(29,683) = 0.01413586092578463920 C1(29,683) = 0.9487268237733448978 C2(29,683) = 1.938451370976808049 C3(29,683) = 3.164068571350414711 C4(29,683) = 5464 Sum = 4714.440824842971020 Averaged sum = 0.4710201643363943471 logp*logq = 21.97663892506087978 -------------- ************************************* p = 29; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3642189921.374127542 -------------- Searches starting with [29,691]-exponents: u = 33, v = 1 n_start has 52 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(29,691) = 0.8640360934461404412 D2(29,691) = 0.03489400502414847900 C1(29,691) = 1.056483026463971430 C2(29,691) = 1.930403290647899913 C3(29,691) = 3.606315467667721484 C4(29,691) = 5528 Sum = 4503.839126057883169 Averaged sum = 0.4499789315673776770 logp*logq = 22.01585096444137503 -------------- ************************************* p = 29; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3822736957.229395029 -------------- Searches starting with [29,701]-exponents: u = 35, v = 1 n_start has 55 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(29,701) = 1.090383399406013187 D2(29,701) = 0.02549684820354648177 C1(29,701) = 1.399934940737852812 C2(29,701) = 1.895783855936642343 C3(29,701) = 5.472168691542393191 C4(29,701) = 5608 Sum = 5373.589654265767474 Averaged sum = 0.5368757772270723823 logp*logq = 22.06423248396505723 -------------- ************************************* p = 29; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3971633639.600784786 -------------- Searches starting with [29,709]-exponents: u = 37, v = 1 n_start has 57 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(29,709) = 0.6327491629639622328 D2(29,709) = 0.02538210255395801258 C1(29,709) = 0.7852684986540222424 C2(29,709) = 1.872301264335606906 C3(29,709) = 2.594522093393968316 C4(29,709) = 5672 Sum = 4877.727376347834933 Averaged sum = 0.4873341369115630865 logp*logq = 22.10244334312530476 -------------- ************************************* p = 29; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4163430122.247241814 -------------- Searches starting with [29,719]-exponents: u = 41, v = 1 n_start has 63 digits starting right neighbors generation We generated 181 left neighbors We generated 9829 right neighbors We generated 10009 non-negative rho_i D1(29,719) = 0.9449882936962894585 D2(29,719) = 0.06657207461165481506 C1(29,719) = 1.203930198095360812 C2(29,719) = 1.871068215147377095 C3(29,719) = 4.313301802518341307 C4(29,719) = 5752 Sum = 5165.131850963530455 Averaged sum = 0.5160487412292467234 logp*logq = 22.14960512008324684 -------------- ************************************* p = 29; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4321483797.556265061 -------------- Searches starting with [29,727]-exponents: u = 45, v = 1 n_start has 69 digits starting right neighbors generation We generated 238 left neighbors We generated 9772 right neighbors We generated 10009 non-negative rho_i D1(29,727) = 0.8098812718120638617 D2(29,727) = 0.04052808109907152724 C1(29,727) = 1.068187583935100201 C2(29,727) = 1.827195617062549914 C3(29,727) = 3.657929311053525951 C4(29,727) = 5816 Sum = 3545.820950823492121 Averaged sum = 0.3542632581500141993 logp*logq = 22.18686465188608680 -------------- ************************************* p = 29; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4442758089.127731245 -------------- Searches starting with [29,733]-exponents: u = 47, v = 1 n_start has 72 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(29,733) = 1.428339408750171498 D2(29,733) = 0.03173303557008794299 C1(29,733) = 1.808275686560862161 C2(29,733) = 1.801385474854696145 C3(29,733) = 8.984003347445464314 C4(29,733) = 5864 Sum = 6383.667734602457131 Averaged sum = 0.6377927599762670727 logp*logq = 22.21454121177611189 -------------- ************************************* p = 29; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4566405296.024358237 -------------- Searches starting with [29,739]-exponents: u = 51, v = 1 n_start has 78 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(29,739) = 1.005015566674307948 D2(29,739) = 0.01692212044363153775 C1(29,739) = 1.315354722460367188 C2(29,739) = 1.770784395376370076 C3(29,739) = 4.938123098064656984 C4(29,739) = 5912 Sum = 3260.165787492866292 Averaged sum = 0.3257234276643886794 logp*logq = 22.24199214502720640 -------------- ************************************* p = 29; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4650168184.894828841 -------------- Searches starting with [29,743]-exponents: u = 53, v = 1 n_start has 81 digits starting right neighbors generation We generated 327 left neighbors We generated 9683 right neighbors We generated 10009 non-negative rho_i D1(29,743) = 0.7330560214793661714 D2(29,743) = 0.02118977514259503475 C1(29,743) = 0.9572235799580286097 C2(29,743) = 1.759808550826801164 C3(29,743) = 3.196878032261136931 C4(29,743) = 5944 Sum = 4067.421618491958908 Averaged sum = 0.4063764230684343000 logp*logq = 22.26016922468618787 -------------- ************************************* p = 29; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4820924925.390163313 -------------- Searches starting with [29,751]-exponents: u = 57, v = 1 n_start has 87 digits starting right neighbors generation We generated 353 left neighbors We generated 9657 right neighbors We generated 10009 non-negative rho_i D1(29,751) = 1.489956605740614972 D2(29,751) = 0.01700999667437716511 C1(29,751) = 1.821554173186074316 C2(29,751) = 1.727986410575381392 C3(29,751) = 9.130013136242570490 C4(29,751) = 6008 Sum = 4684.059851013660456 Averaged sum = 0.4679847987824618299 logp*logq = 22.29623163983424211 -------------- ************************************* p = 29; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4951850780.843196853 -------------- Searches starting with [29,757]-exponents: u = 61, v = 1 n_start has 93 digits starting right neighbors generation We generated 379 left neighbors We generated 9631 right neighbors We generated 10009 non-negative rho_i D1(29,757) = 2.097508827642440043 D2(29,757) = 0.02471287817622670044 C1(29,757) = 2.712165758858213979 C2(29,757) = 1.710716446006890677 C3(29,757) = 26.91994774970395277 C4(29,757) = 6056 Sum = 9789.406971956300905 Averaged sum = 0.9780604427971126891 logp*logq = 22.32302723876548584 -------------- ************************************* p = 29; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5040510680.621848028 -------------- Searches starting with [29,761]-exponents: u = 65, v = 1 n_start has 98 digits starting right neighbors generation We generated 460 left neighbors We generated 9550 right neighbors We generated 10009 non-negative rho_i D1(29,761) = 0.7831963034521402352 D2(29,761) = 0.009624638380575186268 C1(29,761) = 0.9628357713906560910 C2(29,761) = 1.684411760245230566 C3(29,761) = 3.218735357823464616 C4(29,761) = 6088 Sum = 4816.306645335672619 Averaged sum = 0.4811975867055322828 logp*logq = 22.34077323941681256 -------------- ************************************* p = 29; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5221168746.085483255 -------------- Searches starting with [29,769]-exponents: u = 73, v = 1 n_start has 110 digits starting right neighbors generation We generated 581 left neighbors We generated 9429 right neighbors We generated 10009 non-negative rho_i D1(29,769) = 0.6124077331720159961 D2(29,769) = 0.004118643411534638898 C1(29,769) = 0.7611967601155185227 C2(29,769) = 1.647635115550866105 C3(29,769) = 2.519792600721419662 C4(29,769) = 6152 Sum = 4995.376994423670454 Averaged sum = 0.4990885197745699324 logp*logq = 22.37598711149713080 -------------- ************************************* p = 29; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5313182898.601870584 -------------- Searches starting with [29,773]-exponents: u = 77, v = 1 n_start has 116 digits starting right neighbors generation We generated 615 left neighbors We generated 9395 right neighbors We generated 10009 non-negative rho_i D1(29,773) = 0.9411297268585238965 D2(29,773) = 0.008988067100348575179 C1(29,773) = 1.202636482327402464 C2(29,773) = 1.633728776462886379 C3(29,773) = 4.306532160208289589 C4(29,773) = 6184 Sum = 5745.818928159017817 Averaged sum = 0.5740652341052070952 logp*logq = 22.39345690855484187 -------------- ************************************* p = 29; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5644216188.286984775 -------------- Searches starting with [29,787]-exponents: u = 99, v = 1 n_start has 148 digits starting right neighbors generation We generated 970 left neighbors We generated 9040 right neighbors We generated 10009 non-negative rho_i D1(29,787) = 0.6951232325618427103 D2(29,787) = 0.01704299769443270745 C1(29,787) = 0.8779928526561806012 C2(29,787) = 1.573338236088763948 C3(29,787) = 2.903682910803527853 C4(29,787) = 6296 Sum = 5168.665587296028623 Averaged sum = 0.5164017971122018806 logp*logq = 22.45389717429393171 -------------- ************************************* p = 29; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5889365481.073429455 -------------- Searches starting with [29,797]-exponents: u = 123, v = 1 n_start has 183 digits starting right neighbors generation We generated 1531 left neighbors We generated 8479 right neighbors We generated 10009 non-negative rho_i D1(29,797) = 0.6621374984088453328 D2(29,797) = 0.004393017040913498175 C1(29,797) = 0.8286376419299685355 C2(29,797) = 1.509784739664090628 C3(29,797) = 2.734797097440356714 C4(29,797) = 6376 Sum = 5167.339661435024948 Averaged sum = 0.5162693237521255818 logp*logq = 22.49641410063591549 -------------- ************************************* p = 29; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6193311595.855399625 -------------- Searches starting with [29,809]-exponents: u = 171, v = 1 n_start has 253 digits starting right neighbors generation We generated 2894 left neighbors We generated 7116 right neighbors We generated 10009 non-negative rho_i D1(29,809) = 0.7642433647077431715 D2(29,809) = 0.0008316956729321607317 C1(29,809) = 0.9442987457169727428 C2(29,809) = 1.429706602223187912 C3(29,809) = 3.147103632761159911 C4(29,809) = 6472 Sum = 5334.955876189816713 Averaged sum = 0.5330158733329819875 logp*logq = 22.54673577183900774 -------------- ************************************* p = 29; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6245019398.439547559 -------------- Searches starting with [29,811]-exponents: u = 183, v = 1 n_start has 271 digits starting right neighbors generation We generated 3265 left neighbors We generated 6745 right neighbors We generated 10009 non-negative rho_i D1(29,811) = 0.7029117518724237591 D2(29,811) = 0.004473995015651061764 C1(29,811) = 0.8663900756294543992 C2(29,811) = 1.417652898293669771 C3(29,811) = 2.863065353870004039 C4(29,811) = 6488 Sum = 5304.990168195909329 Averaged sum = 0.5300219970222708891 logp*logq = 22.55505008675444368 -------------- ************************************* p = 29; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6508120120.460880593 -------------- Searches starting with [29,821]-exponents: u = 277, v = 1 n_start has 408 digits --- performed 5000 steps in the continued fraction search [29,821]-exponents: u = 47, v = 97 --- starting right neighbors generation We generated 7195 left neighbors We generated 2815 right neighbors We generated 10009 non-negative rho_i D1(29,821) = 0.8871982126139689798 D2(29,821) = 0.006570077884697826753 C1(29,821) = 1.078481497695001419 C2(29,821) = 1.333205798413490094 C3(29,821) = 3.703932780906672781 C4(29,821) = 6568 Sum = 5503.579893733111890 Averaged sum = 0.5498631125719963923 logp*logq = 22.59631648348702878 -------------- ************************************* p = 29; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6561659768.703371747 -------------- Searches starting with [29,823]-exponents: u = 309, v = 1 n_start has 455 digits --- performed 5000 steps in the continued fraction search [29,823]-exponents: u = 207, v = 35 --- starting right neighbors generation We generated 9115 left neighbors We generated 895 right neighbors We generated 10009 non-negative rho_i D1(29,823) = 0.6967503768651617271 D2(29,823) = 0.002582230038360709350 C1(29,823) = 0.8441307291378768209 C2(29,823) = 1.309508592981467393 C3(29,823) = 2.786726355932305885 C4(29,823) = 6584 Sum = 5558.729435863358271 Averaged sum = 0.5553731077893254341 logp*logq = 22.60450942142174109 -------------- ************************************* p = 29; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6669666770.741316408 -------------- Searches starting with [29,827]-exponents: u = 399, v = 1 n_start has 587 digits --- performed 5000 steps in the continued fraction search [29,827]-exponents: u = 40, v = 168 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,827) = 0.6400017310694517706 D2(29,827) = 0.08139333707862015335 C1(29,827) = 0.7697458463315407928 C2(29,827) = 1.326349070989540784 C3(29,827) = 2.546083071601746778 C4(29,827) = 6616 Sum = 5693.846152416698984 Averaged sum = 0.5694415593976096594 logp*logq = 22.62083573621683267 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,827) = 0.6400017310694517706 D2(29,827) = 0.08139333707862015335 C1(29,827) = 0.7697458463315407928 C2(29,827) = 1.326349070989540784 C3(29,827) = 2.546083071601746778 C4(29,827) = 6616 Sum = 5693.846152416698984 Averaged sum = 0.5694415593976096594 logp*logq = 22.62083573621683267 -------------- ************************************* p = 29; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6724136179.090498216 -------------- Searches starting with [29,829]-exponents: u = 467, v = 1 n_start has 686 digits --- performed 5000 steps in the continued fraction search [29,829]-exponents: u = 36, v = 206 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,829) = 0.7380337763175520692 D2(29,829) = 0.1412448013955552983 C1(29,829) = 0.8838206596848453882 C2(29,829) = 1.351893760373597119 C3(29,829) = 2.924301062929987149 C4(29,829) = 6632 Sum = 5775.425212592303595 Averaged sum = 0.5776002812873590954 logp*logq = 22.62896930497813434 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,829) = 0.7380337763175520692 D2(29,829) = 0.1412448013955552983 C1(29,829) = 0.8838206596848453882 C2(29,829) = 1.351893760373597119 C3(29,829) = 2.924301062929987149 C4(29,829) = 6632 Sum = 5775.425212592303595 Averaged sum = 0.5776002812873590954 logp*logq = 22.62896930497813434 -------------- ************************************* p = 29; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7001183467.360377644 -------------- Searches starting with [29,839]-exponents: u = 2827, v = 1 n_start has 4138 digits --- performed 5000 steps in the continued fraction search [29,839]-exponents: u = 1304, v = 761 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,839) = 0.8048544359778520923 D2(29,839) = 0.5299024716950902099 C1(29,839) = 0.9278172319415567708 C2(29,839) = 1.491945590742786137 C3(29,839) = 3.084754814496064970 C4(29,839) = 6712 Sum = 6591.749957479907843 Averaged sum = 0.6592409198399747818 logp*logq = 22.66934503847731769 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,839) = 0.8048544359778520923 D2(29,839) = 0.5299024716950902099 C1(29,839) = 0.9278172319415567708 C2(29,839) = 1.491945590742786137 C3(29,839) = 3.084754814496064970 C4(29,839) = 6712 Sum = 6591.749957479907843 Averaged sum = 0.6592409198399747818 logp*logq = 22.66934503847731769 -------------- ************************************* p = 29; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7402398319.292968683 -------------- Searches starting with [29,853]-exponents: u = 2, v = 237 n_start has 698 digits --- performed 5000 steps in the continued fraction search [29,853]-exponents: u = 245, v = 105 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,853) = 0.6304405159642792682 D2(29,853) = 0.1404377456567382327 C1(29,853) = 0.7546309712617923741 C2(29,853) = 1.351947067639684304 C3(29,853) = 2.499785696859990104 C4(29,853) = 6824 Sum = 5780.420205791762599 Averaged sum = 0.5780998305622324832 logp*logq = 22.72506988185013452 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,853) = 0.6304405159642792682 D2(29,853) = 0.1404377456567382327 C1(29,853) = 0.7546309712617923741 C2(29,853) = 1.351947067639684304 C3(29,853) = 2.499785696859990104 C4(29,853) = 6824 Sum = 5780.420205791762599 Averaged sum = 0.5780998305622324832 logp*logq = 22.72506988185013452 -------------- ************************************* p = 29; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7519935076.049512507 -------------- Searches starting with [29,857]-exponents: u = 2, v = 178 n_start has 525 digits --- performed 5000 steps in the continued fraction search [29,857]-exponents: u = 67, v = 131 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,857) = 0.6151903388013048534 D2(29,857) = 0.04172772669103312149 C1(29,857) = 0.7422647952163881792 C2(29,857) = 1.318646462594387103 C3(29,857) = 2.462534511950543762 C4(29,857) = 6856 Sum = 5629.213481320011142 Averaged sum = 0.5629776458965907733 logp*logq = 22.74082334136683651 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(29,857) = 0.6151903388013048534 D2(29,857) = 0.04172772669103312149 C1(29,857) = 0.7422647952163881792 C2(29,857) = 1.318646462594387103 C3(29,857) = 2.462534511950543762 C4(29,857) = 6856 Sum = 5629.213481320011142 Averaged sum = 0.5629776458965907733 logp*logq = 22.74082334136683651 -------------- ************************************* p = 29; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7579192642.237771549 -------------- Searches starting with [29,859]-exponents: u = 2, v = 159 n_start has 470 digits --- performed 5000 steps in the continued fraction search [29,859]-exponents: u = 17, v = 135 --- starting right neighbors generation We generated 9664 left neighbors We generated 346 right neighbors We generated 10009 non-negative rho_i D1(29,859) = 1.304484892994618910 D2(29,859) = 0.004581930450046726045 C1(29,859) = 1.579200535703831165 C2(29,859) = 1.311855634791335714 C3(29,859) = 6.802724264656982060 C4(29,859) = 6872 Sum = 5570.458607001647885 Averaged sum = 0.5565449702269605240 logp*logq = 22.74867251934980009 -------------- ************************************* p = 29; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7698691361.146469163 -------------- Searches starting with [29,863]-exponents: u = 2, v = 130 n_start has 385 digits --- performed 5000 steps in the continued fraction search [29,863]-exponents: u = 139, v = 41 --- starting right neighbors generation We generated 6503 left neighbors We generated 3507 right neighbors We generated 10009 non-negative rho_i D1(29,863) = 0.6742203590240936238 D2(29,863) = 0.003509882162994393828 C1(29,863) = 0.8213272690758962328 C2(29,863) = 1.350996967656134226 C3(29,863) = 2.710631541657544793 C4(29,863) = 6904 Sum = 5401.080037764055891 Averaged sum = 0.5396223436671051944 logp*logq = 22.76431619826452392 -------------- ************************************* p = 29; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8127374245.357701566 -------------- Searches starting with [29,877]-exponents: u = 2, v = 80 n_start has 239 digits starting right neighbors generation We generated 2563 left neighbors We generated 7447 right neighbors We generated 10009 non-negative rho_i D1(29,877) = 0.6761543218191053167 D2(29,877) = 0.002785648414632294462 C1(29,877) = 0.8377100367286658920 C2(29,877) = 1.459337193368404081 C3(29,877) = 2.765087087729026432 C4(29,877) = 7016 Sum = 4892.826122603196893 Averaged sum = 0.4888426538718350377 logp*logq = 22.81850373728903491 -------------- ************************************* p = 29; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8252871742.410412460 -------------- Searches starting with [29,881]-exponents: u = 2, v = 72 n_start has 215 digits starting right neighbors generation We generated 2053 left neighbors We generated 7957 right neighbors We generated 10009 non-negative rho_i D1(29,881) = 0.6166279301169306093 D2(29,881) = 0.007053186374715894235 C1(29,881) = 0.7670600958444714237 C2(29,881) = 1.487973995074518702 C3(29,881) = 2.537794334074293362 C4(29,881) = 7048 Sum = 4755.627788419852423 Averaged sum = 0.4751351572005047880 logp*logq = 22.83382706671287670 -------------- ************************************* p = 29; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8316128520.562711079 -------------- Searches starting with [29,883]-exponents: u = 2, v = 69 n_start has 207 digits starting right neighbors generation We generated 1960 left neighbors We generated 8050 right neighbors We generated 10009 non-negative rho_i D1(29,883) = 0.8720378813057488271 D2(29,883) = 0.002095978864227161922 C1(29,883) = 1.086600177243534275 C2(29,883) = 1.496462351484673255 C3(29,883) = 3.740622864707491456 C4(29,883) = 7064 Sum = 4723.857561511963025 Averaged sum = 0.4719609912590631456 logp*logq = 22.84146266143587696 -------------- ************************************* p = 29; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8443663400.101808825 -------------- Searches starting with [29,887]-exponents: u = 2, v = 63 n_start has 189 digits starting right neighbors generation We generated 1572 left neighbors We generated 8438 right neighbors We generated 10009 non-negative rho_i D1(29,887) = 0.7244671762314697661 D2(29,887) = 0.01457537731919712804 C1(29,887) = 0.9060431691086662031 C2(29,887) = 1.528632552939298305 C3(29,887) = 3.004274386637199480 C4(29,887) = 7096 Sum = 4584.004159951828614 Averaged sum = 0.4579882265912507357 logp*logq = 22.85668210352565858 -------------- ************************************* p = 29; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9102038841.463503197 -------------- Searches starting with [29,907]-exponents: u = 2, v = 44 n_start has 134 digits starting right neighbors generation We generated 783 left neighbors We generated 9227 right neighbors We generated 10009 non-negative rho_i D1(29,907) = 0.7092685498269981134 D2(29,907) = 0.01696043679042070877 C1(29,907) = 0.8750956411208557836 C2(29,907) = 1.628684818361047617 C3(29,907) = 2.893487051568200026 C4(29,907) = 7256 Sum = 5007.509106066131220 Averaged sum = 0.5003006400305855950 logp*logq = 22.93176427388656870 -------------- ************************************* p = 29; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9237913461.154652828 -------------- Searches starting with [29,911]-exponents: u = 2, v = 42 n_start has 128 digits starting right neighbors generation We generated 745 left neighbors We generated 9265 right neighbors We generated 10009 non-negative rho_i D1(29,911) = 0.8252755556557026856 D2(29,911) = 0.01656283429488023868 C1(29,911) = 1.050812652368656688 C2(29,911) = 1.645542983345364883 C3(29,911) = 3.581573206973783146 C4(29,911) = 7288 Sum = 3995.755167682484896 Averaged sum = 0.3992162221682970222 logp*logq = 22.94658188120740276 -------------- ************************************* p = 29; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9513930278.394293475 -------------- Searches starting with [29,919]-exponents: u = 2, v = 37 n_start has 113 digits starting right neighbors generation We generated 528 left neighbors We generated 9482 right neighbors We generated 10009 non-negative rho_i D1(29,919) = 1.039387374286557525 D2(29,919) = 0.02921872018389005907 C1(29,919) = 1.329900065411547485 C2(29,919) = 1.687044561631005203 C3(29,919) = 5.026103167349097748 C4(29,919) = 7352 Sum = 6043.454883188296477 Averaged sum = 0.6038020664590165328 logp*logq = 22.97602290661288320 -------------- ************************************* p = 29; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9867041096.737724620 -------------- Searches starting with [29,929]-exponents: u = 2, v = 33 n_start has 101 digits starting right neighbors generation We generated 468 left neighbors We generated 9542 right neighbors We generated 10009 non-negative rho_i D1(29,929) = 0.7542590381879745520 D2(29,929) = 0.004925898284216426837 C1(29,929) = 0.9705392470788234823 C2(29,929) = 1.707334279136834015 C3(29,929) = 3.248980982224435906 C4(29,929) = 7432 Sum = 5032.664839101620302 Averaged sum = 0.5028139513539434811 logp*logq = 23.01246585788195962 -------------- ************************************* p = 29; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10156085121.96434828 -------------- Searches starting with [29,937]-exponents: u = 2, v = 31 n_start has 96 digits starting right neighbors generation We generated 438 left neighbors We generated 9572 right neighbors We generated 10009 non-negative rho_i D1(29,937) = 0.7651159514619821406 D2(29,937) = 0.01106233330735308387 C1(29,937) = 0.9893307985429450421 C2(29,937) = 1.739637513540078464 C3(29,937) = 3.323958572452443296 C4(29,937) = 7496 Sum = 3487.663807418833569 Averaged sum = 0.3484527732459619911 logp*logq = 23.04133888219959815 -------------- ************************************* p = 29; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10302815888.79686737 -------------- Searches starting with [29,941]-exponents: u = 2, v = 29 n_start has 90 digits starting right neighbors generation We generated 360 left neighbors We generated 9650 right neighbors We generated 10009 non-negative rho_i D1(29,941) = 1.075668844053489072 D2(29,941) = 0.008801353891554673931 C1(29,941) = 1.393358060789328366 C2(29,941) = 1.751507302073831443 C3(29,941) = 5.428647112103918754 C4(29,941) = 7528 Sum = 5983.234467263462023 Averaged sum = 0.5977854398304987534 logp*logq = 23.05568308208034521 -------------- ************************************* p = 29; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10525697216.15006985 -------------- Searches starting with [29,947]-exponents: u = 2, v = 28 n_start has 87 digits starting right neighbors generation We generated 347 left neighbors We generated 9663 right neighbors We generated 10009 non-negative rho_i D1(29,947) = 0.6969169885119409766 D2(29,947) = 0.02274638312748878876 C1(29,947) = 0.8611105299410239778 C2(29,947) = 1.780688581106345864 C3(29,947) = 2.844771942934974698 C4(29,947) = 7576 Sum = 4795.134142174421963 Averaged sum = 0.4790822402012610613 logp*logq = 23.07708545813556515 -------------- ************************************* p = 29; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10751946666.56367825 -------------- Searches starting with [29,953]-exponents: u = 2, v = 26 n_start has 81 digits starting right neighbors generation We generated 277 left neighbors We generated 9733 right neighbors We generated 10009 non-negative rho_i D1(29,953) = 0.9161285294229844706 D2(29,953) = 0.03156378602641045622 C1(29,953) = 1.193689878962083903 C2(29,953) = 1.805622040121816830 C3(29,953) = 4.260007055308609155 C4(29,953) = 7624 Sum = 5302.620684682622271 Averaged sum = 0.5297852617327027945 logp*logq = 23.09835266038786357 -------------- ************************************* p = 29; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11293124523.52954169 -------------- Searches starting with [29,967]-exponents: u = 2, v = 24 n_start has 75 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(29,967) = 0.7994917190632000594 D2(29,967) = 0.05088887554352629070 C1(29,967) = 1.048911298847805789 C2(29,967) = 1.860544256545521424 C3(29,967) = 3.573314851674729776 C4(29,967) = 7736 Sum = 3313.649524335951995 Averaged sum = 0.3310669921406685978 logp*logq = 23.14745992823917172 -------------- ************************************* p = 29; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11451196209.81789379 -------------- Searches starting with [29,971]-exponents: u = 2, v = 23 n_start has 72 digits starting right neighbors generation We generated 244 left neighbors We generated 9766 right neighbors We generated 10009 non-negative rho_i D1(29,971) = 0.6672016473667019745 D2(29,971) = 0.02389597551428935451 C1(29,971) = 0.8446763177273678067 C2(29,971) = 1.852663577693970000 C3(29,971) = 2.788572907696062762 C4(29,971) = 7768 Sum = 4635.371196134610097 Averaged sum = 0.4631203113332610747 logp*logq = 23.16136003396296954 -------------- ************************************* p = 29; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11691210943.20187017 -------------- Searches starting with [29,977]-exponents: u = 2, v = 22 n_start has 69 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(29,977) = 0.7904179014619737046 D2(29,977) = 0.01000952299976162794 C1(29,977) = 1.002646814942226343 C2(29,977) = 1.859594941471995239 C3(29,977) = 3.378134122813614314 C4(29,977) = 7816 Sum = 4830.548402742519302 Averaged sum = 0.4826204818405953943 logp*logq = 23.18210319502120392 -------------- ************************************* p = 29; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11934740531.15980953 -------------- Searches starting with [29,983]-exponents: u = 2, v = 21 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(29,983) = 0.6511076298684879452 D2(29,983) = 0.05965414059052630661 C1(29,983) = 0.7975493595552611610 C2(29,983) = 1.910172407420326164 C3(29,983) = 2.633497080303339949 C4(29,983) = 7864 Sum = 4656.276193976776527 Averaged sum = 0.4652089313594541440 logp*logq = 23.20271935633832073 -------------- ************************************* p = 29; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12264965278.56495469 -------------- Searches starting with [29,991]-exponents: u = 2, v = 20 n_start has 63 digits starting right neighbors generation We generated 177 left neighbors We generated 9833 right neighbors We generated 10009 non-negative rho_i D1(29,991) = 0.9195000946109926674 D2(29,991) = 0.05155741045128482167 C1(29,991) = 1.171457974132979902 C2(29,991) = 1.924794586388109905 C3(29,991) = 4.146559020128874632 C4(29,991) = 7928 Sum = 5130.915181143058841 Averaged sum = 0.5126301509784253013 logp*logq = 23.23001268371644858 -------------- ************************************* p = 29; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12516811213.72232701 -------------- Searches starting with [29,997]-exponents: u = 2, v = 19 n_start has 60 digits starting right neighbors generation We generated 168 left neighbors We generated 9842 right neighbors We generated 10009 non-negative rho_i D1(29,997) = 0.7163796791271095714 D2(29,997) = 0.02096301304622612394 C1(29,997) = 0.8800781568749864036 C2(29,997) = 1.918434637006916237 C3(29,997) = 2.911043736483402891 C4(29,997) = 7976 Sum = 4747.039790643883290 Averaged sum = 0.4742771296477053941 logp*logq = 23.25033847478839400 -------------- ************************************* p = 31; q = 37; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242764.2067071591578 -------------- Searches starting with [31,37]-exponents: u = 1, v = 19 n_start has 32 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(31,37) = 0.8309493790484362304 D2(31,37) = 0.04659664207734895539 C1(31,37) = 1.052608067052368731 C2(31,37) = 1.449354756222178721 C3(31,37) = 3.664257665727160064 C4(31,37) = 296 Sum = 5572.450737001887949 Averaged sum = 0.5567440040965019432 logp*logq = 12.39984590846647982 -------------- ************************************* p = 31; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 345365.6396942727176 -------------- Searches starting with [31,41]-exponents: u = 1, v = 12 n_start has 21 digits starting right neighbors generation We generated 49 left neighbors We generated 9961 right neighbors We generated 10009 non-negative rho_i D1(31,41) = 0.8758065921062012683 D2(31,41) = 0.03132319942415235854 C1(31,41) = 1.114191186617129142 C2(31,41) = 1.634003091972153129 C3(31,41) = 3.953503783895569051 C4(31,41) = 328 Sum = 5737.395560308255300 Averaged sum = 0.5732236547415581277 logp*logq = 12.75235895999605300 -------------- ************************************* p = 31; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 406733.3421870906516 -------------- Searches starting with [31,43]-exponents: u = 1, v = 10 n_start has 18 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(31,43) = 1.294094606784987996 D2(31,43) = 0.1308263778518895964 C1(31,43) = 1.803281651491430286 C2(31,43) = 1.789174922507215121 C3(31,43) = 9.251154098785080648 C4(31,43) = 344 Sum = 4788.437982157757778 Averaged sum = 0.4784132263120948924 logp*logq = 12.91591307079974506 -------------- ************************************* p = 31; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 552029.9602775702371 -------------- Searches starting with [31,47]-exponents: u = 1, v = 8 n_start has 15 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(31,47) = 1.223979680356863524 D2(31,47) = 0.1155288626718331782 C1(31,47) = 1.642172361892175602 C2(31,47) = 1.915635176752551821 C3(31,47) = 7.583571253613736185 C4(31,47) = 376 Sum = 6177.811234944373250 Averaged sum = 0.6172256204360448846 logp*logq = 13.22135759965151436 -------------- ************************************* p = 31; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 833952.4198791560177 -------------- Searches starting with [31,53]-exponents: u = 1, v = 6 n_start has 12 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(31,53) = 0.9910705262481051370 D2(31,53) = 0.08129662526234772822 C1(31,53) = 1.329690066409196656 C2(31,53) = 1.515413671903458029 C3(31,53) = 5.157582368366948471 C4(31,53) = 424 Sum = 4773.214953258635250 Averaged sum = 0.4768922922628269807 logp*logq = 13.63393162920883278 -------------- ************************************* p = 31; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1205266.675850038090 -------------- Searches starting with [31,59]-exponents: u = 1, v = 5 n_start has 11 digits starting right neighbors generation We generated 12 left neighbors We generated 9998 right neighbors We generated 10009 non-negative rho_i D1(31,59) = 1.260068267132700235 D2(31,59) = 0.02511851821107680349 C1(31,59) = 1.788051947240319266 C2(31,59) = 1.544573174261983187 C3(31,59) = 9.078954923299520181 C4(31,59) = 472 Sum = 4728.931065129388128 Averaged sum = 0.4724678854160643549 logp*logq = 14.00221140818131036 -------------- ************************************* p = 31; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1351449.460419821915 -------------- Searches starting with [31,61]-exponents: u = 1, v = 5 n_start has 11 digits starting right neighbors generation We generated 12 left neighbors We generated 9998 right neighbors We generated 10009 non-negative rho_i D1(31,61) = 0.9856905189251069228 D2(31,61) = 0.005803497510955216946 C1(31,61) = 1.665304397762963359 C2(31,61) = 1.101432474948033958 C3(31,61) = 7.803112813501417604 C4(31,61) = 488 Sum = 5541.269362073216603 Averaged sum = 0.5536286704039580980 logp*logq = 14.11668824882355989 -------------- ************************************* p = 31; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1865166.072069536217 -------------- Searches starting with [31,67]-exponents: u = 11, v = 4 n_start has 24 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(31,67) = 0.8772007431124862004 D2(31,67) = 0.1584366113981904724 C1(31,67) = 1.141524811079831466 C2(31,67) = 1.308422569443330779 C3(31,67) = 4.089097618184512866 C4(31,67) = 536 Sum = 4704.267171495744209 Averaged sum = 0.4700037138071479877 logp*logq = 14.43886065378171056 -------------- ************************************* p = 31; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2276132.194710592875 -------------- Searches starting with [31,71]-exponents: u = 31, v = 4 n_start has 54 digits starting right neighbors generation We generated 464 left neighbors We generated 9546 right neighbors We generated 10009 non-negative rho_i D1(31,71) = 1.067642166271392577 D2(31,71) = 0.05226049155894470303 C1(31,71) = 1.435211308157516564 C2(31,71) = 1.575517744723074718 C3(31,71) = 5.874681334849266151 C4(31,71) = 568 Sum = 5692.448069290619981 Averaged sum = 0.5687329472765131362 logp*logq = 14.63798815457619368 -------------- ************************************* p = 31; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2503956.959274019704 -------------- Searches starting with [31,73]-exponents: u = 526, v = 4 n_start has 792 digits --- performed 5000 steps in the continued fraction search [31,73]-exponents: u = 18, v = 401 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,73) = 0.6784063068706863190 D2(31,73) = 0.4074305901685997196 C1(31,73) = 0.8119936288463250568 C2(31,73) = 1.260655614003494261 C3(31,73) = 2.723109520135379245 C4(31,73) = 584 Sum = 6415.692352691955951 Averaged sum = 0.6416333986090565007 logp*logq = 14.73338282226606649 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,73) = 0.6784063068706863190 D2(31,73) = 0.4074305901685997196 C1(31,73) = 0.8119936288463250568 C2(31,73) = 1.260655614003494261 C3(31,73) = 2.723109520135379245 C4(31,73) = 584 Sum = 6415.692352691955951 Averaged sum = 0.6416333986090565007 logp*logq = 14.73338282226606649 -------------- ************************************* p = 31; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3284181.500143582708 -------------- Searches starting with [31,79]-exponents: u = 5, v = 11 n_start has 29 digits starting right neighbors generation We generated 120 left neighbors We generated 9890 right neighbors We generated 10009 non-negative rho_i D1(31,79) = 1.142851066246919832 D2(31,79) = 0.03354167637375851221 C1(31,79) = 1.677167900166016450 C2(31,79) = 1.627749735198637789 C3(31,79) = 7.918161120252903329 C4(31,79) = 632 Sum = 4596.767062906641377 Averaged sum = 0.4592633692583316392 logp*logq = 15.00462801603685287 -------------- ************************************* p = 31; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3891254.300203017994 -------------- Searches starting with [31,83]-exponents: u = 9, v = 3 n_start has 20 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(31,83) = 1.059956277011458903 D2(31,83) = 0.07609488331904660640 C1(31,83) = 1.655112288826306868 C2(31,83) = 1.093783376604276125 C3(31,83) = 7.705608985464190118 C4(31,83) = 664 Sum = 5155.206534091980960 Averaged sum = 0.5150571020173824518 logp*logq = 15.17424210583288384 -------------- ************************************* p = 31; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4945159.905133298946 -------------- Searches starting with [31,89]-exponents: u = 13, v = 3 n_start has 26 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(31,89) = 0.8990328942922767047 D2(31,89) = 0.1011643066151336299 C1(31,89) = 1.290576943745276977 C2(31,89) = 1.778526411071154849 C3(31,89) = 4.914613998408363159 C4(31,89) = 712 Sum = 5203.589029943907153 Averaged sum = 0.5198910010934066493 logp*logq = 15.41391985924682620 -------------- ************************************* p = 31; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6645822.132170244917 -------------- Searches starting with [31,97]-exponents: u = 385, v = 3 n_start has 581 digits --- performed 5000 steps in the continued fraction search [31,97]-exponents: u = 334, v = 28 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,97) = 0.7024387302188593291 D2(31,97) = 0.2991955528996094360 C1(31,97) = 0.8480088156310309899 C2(31,97) = 1.235754573657708293 C3(31,97) = 2.846833041331251443 C4(31,97) = 776 Sum = 6177.900941744173960 Averaged sum = 0.6178518793623536314 logp*logq = 15.70949896439833954 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,97) = 0.7024387302188593291 D2(31,97) = 0.2991955528996094360 C1(31,97) = 0.8480088156310309899 C2(31,97) = 1.235754573657708293 C3(31,97) = 2.846833041331251443 C4(31,97) = 776 Sum = 6177.900941744173960 Averaged sum = 0.6178518793623536314 logp*logq = 15.70949896439833954 -------------- ************************************* p = 31; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7635086.316872505568 -------------- Searches starting with [31,101]-exponents: u = 4, v = 29 n_start has 65 digits starting right neighbors generation We generated 549 left neighbors We generated 9461 right neighbors We generated 10009 non-negative rho_i D1(31,101) = 0.7582037906968506193 D2(31,101) = 0.02749346714246493192 C1(31,101) = 1.006904390465101968 C2(31,101) = 1.537819311238905448 C3(31,101) = 3.463363182422503264 C4(31,101) = 808 Sum = 5123.786411120147505 Averaged sum = 0.5119179149885250779 logp*logq = 15.84826480198975985 -------------- ************************************* p = 31; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8166900.685772135537 -------------- Searches starting with [31,103]-exponents: u = 4, v = 20 n_start has 47 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(31,103) = 0.8295869541864473277 D2(31,103) = 0.08542109542722777495 C1(31,103) = 1.140147533264815396 C2(31,103) = 1.662861467203746327 C3(31,103) = 4.082155413201731358 C4(31,103) = 824 Sum = 4827.168662801564612 Averaged sum = 0.4822828117495818375 logp*logq = 15.91560004183695722 -------------- ************************************* p = 31; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9308461.901293525629 -------------- Searches starting with [31,107]-exponents: u = 4, v = 11 n_start has 29 digits starting right neighbors generation We generated 114 left neighbors We generated 9896 right neighbors We generated 10009 non-negative rho_i D1(31,107) = 0.6763770265448865603 D2(31,107) = 0.01040679875745778862 C1(31,107) = 0.8652186971523697800 C2(31,107) = 1.805519834186422930 C3(31,107) = 2.907923849961442233 C4(31,107) = 856 Sum = 5196.878345886992253 Averaged sum = 0.5192205361062036420 logp*logq = 16.04643442629142539 -------------- ************************************* p = 31; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9919653.997449244330 -------------- Searches starting with [31,109]-exponents: u = 4, v = 8 n_start has 23 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(31,109) = 0.7745606980854743036 D2(31,109) = 0.06324660695607962910 C1(31,109) = 0.9834481101256694026 C2(31,109) = 1.861844021437512081 C3(31,109) = 3.364574832074823885 C4(31,109) = 872 Sum = 5347.550148994814630 Averaged sum = 0.5342741681481481297 logp*logq = 16.11002859936336828 -------------- ************************************* p = 31; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11226518.71619347242 -------------- Searches starting with [31,113]-exponents: u = 4, v = 5 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(31,113) = 0.8609460203010175295 D2(31,113) = 0.1203003759637965728 C1(31,113) = 1.088710992869894904 C2(31,113) = 1.279032882171007635 C3(31,113) = 3.831156604496447697 C4(31,113) = 904 Sum = 5558.514885967761232 Averaged sum = 0.5553516720918934191 logp*logq = 16.23378928009712372 -------------- ************************************* p = 31; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16766216.06233677479 -------------- Searches starting with [31,127]-exponents: u = 7, v = 2 n_start has 15 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(31,127) = 0.8120365565282661079 D2(31,127) = 0.03619648215766259717 C1(31,127) = 1.041318679304944384 C2(31,127) = 1.545895503135196577 C3(31,127) = 3.613575775069479509 C4(31,127) = 1016 Sum = 5363.245997673888797 Averaged sum = 0.5358423416598949742 logp*logq = 16.63487647103098329 -------------- ************************************* p = 31; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18650158.95759074056 -------------- Searches starting with [31,131]-exponents: u = 7, v = 7 n_start has 26 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(31,131) = 0.6747691813040761016 D2(31,131) = 0.07842285660107984339 C1(31,131) = 0.8502164545199502417 C2(31,131) = 1.857502851403502049 C3(31,131) = 2.854597280678051979 C4(31,131) = 1048 Sum = 5082.985783435450448 Averaged sum = 0.5078415209746678437 logp*logq = 16.74136522721299040 -------------- ************************************* p = 31; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21750592.26286474133 -------------- Searches starting with [31,137]-exponents: u = 10, v = 2 n_start has 20 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(31,137) = 0.6841108718384461002 D2(31,137) = 0.07883968417017226909 C1(31,137) = 0.8527782807764720613 C2(31,137) = 2.034712171369384340 C3(31,137) = 2.863633740762310658 C4(31,137) = 1096 Sum = 5205.950661195608330 Averaged sum = 0.5201269518628842372 logp*logq = 16.89515154560476434 -------------- ************************************* p = 31; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22860483.05760000424 -------------- Searches starting with [31,139]-exponents: u = 10, v = 2 n_start has 20 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(31,139) = 0.7982390698159069595 D2(31,139) = 0.03381770618304425954 C1(31,139) = 1.112360190169534182 C2(31,139) = 1.993518539966578177 C3(31,139) = 3.944583132829579379 C4(31,139) = 1112 Sum = 5039.542944304263278 Averaged sum = 0.5035011434013650992 logp*logq = 16.94492034723628866 -------------- ************************************* p = 31; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29019761.48928875296 -------------- Searches starting with [31,149]-exponents: u = 16, v = 2 n_start has 29 digits starting right neighbors generation We generated 91 left neighbors We generated 9919 right neighbors We generated 10009 non-negative rho_i D1(31,149) = 1.034224146029275645 D2(31,149) = 0.002822533034578026413 C1(31,149) = 1.358741364914721992 C2(31,149) = 1.850710233779162833 C3(31,149) = 5.345789082377345784 C4(31,149) = 1192 Sum = 5553.824112436217303 Averaged sum = 0.5548830165287458590 logp*logq = 17.18348758654742158 -------------- ************************************* p = 31; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30379383.46882068747 -------------- Searches starting with [31,151]-exponents: u = 16, v = 2 n_start has 29 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(31,151) = 0.9208122557179777745 D2(31,151) = 0.09872612223001314757 C1(31,151) = 1.306675673937848717 C2(31,151) = 1.857639121721259842 C3(31,151) = 5.013200699517265777 C4(31,151) = 1208 Sum = 4946.729622511295936 Averaged sum = 0.4942281569099106740 logp*logq = 17.22927476094377274 -------------- ************************************* p = 31; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34728922.46906354853 -------------- Searches starting with [31,157]-exponents: u = 25, v = 2 n_start has 42 digits starting right neighbors generation We generated 181 left neighbors We generated 9829 right neighbors We generated 10009 non-negative rho_i D1(31,157) = 0.7182558301087202116 D2(31,157) = 0.008760044943491184816 C1(31,157) = 0.9414454757647937397 C2(31,157) = 1.706633341119878174 C3(31,157) = 3.194664356161075895 C4(31,157) = 1256 Sum = 4802.710794340182307 Averaged sum = 0.4798392241322991614 logp*logq = 17.36308339829778331 -------------- ************************************* p = 31; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39502440.48582620894 -------------- Searches starting with [31,163]-exponents: u = 43, v = 2 n_start has 69 digits starting right neighbors generation We generated 451 left neighbors We generated 9559 right neighbors We generated 10009 non-negative rho_i D1(31,163) = 1.537679687620412777 D2(31,163) = 0.02805410129591267040 C1(31,163) = 1.960317914286864513 C2(31,163) = 1.559746494841998296 C3(31,163) = 11.22886178873784113 C4(31,163) = 1304 Sum = 6697.077415430832845 Averaged sum = 0.6691055465511872160 logp*logq = 17.49187301241406612 -------------- ************************************* p = 31; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42931881.41724594843 -------------- Searches starting with [31,167]-exponents: u = 76, v = 2 n_start has 118 digits starting right neighbors generation We generated 1292 left neighbors We generated 8718 right neighbors We generated 10009 non-negative rho_i D1(31,167) = 0.9080837212066570111 D2(31,167) = 0.02578372066390836544 C1(31,167) = 1.130219050219182611 C2(31,167) = 1.411410850519213690 C3(31,167) = 4.032458131304943085 C4(31,167) = 1336 Sum = 5321.233352926905565 Averaged sum = 0.5316448549232596229 logp*logq = 17.57512526447328884 -------------- ************************************* p = 31; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48464270.63522120847 -------------- Searches starting with [31,173]-exponents: u = 3, v = 743 n_start has 1668 digits --- performed 5000 steps in the continued fraction search [31,173]-exponents: u = 541, v = 380 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,173) = 1.146022186918091821 D2(31,173) = 0.4825135763118248661 C1(31,173) = 1.347525889411933762 C2(31,173) = 1.359987601185326632 C3(31,173) = 5.272329969568827710 C4(31,173) = 1384 Sum = 6517.170660655141740 Averaged sum = 0.6517822442899431684 logp*logq = 17.69633739648622978 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,173) = 1.146022186918091821 D2(31,173) = 0.4825135763118248661 C1(31,173) = 1.347525889411933762 C2(31,173) = 1.359987601185326632 C3(31,173) = 5.272329969568827710 C4(31,173) = 1384 Sum = 6517.170660655141740 Averaged sum = 0.6517822442899431684 logp*logq = 17.69633739648622978 -------------- ************************************* p = 31; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54483936.98578453444 -------------- Searches starting with [31,179]-exponents: u = 3, v = 47 n_start has 111 digits starting right neighbors generation We generated 1184 left neighbors We generated 8826 right neighbors We generated 10009 non-negative rho_i D1(31,179) = 0.9315101765629672074 D2(31,179) = 0.01273878726117175659 C1(31,179) = 1.201113162024507650 C2(31,179) = 1.440234134504835007 C3(31,179) = 4.401035156658185042 C4(31,179) = 1432 Sum = 4349.653092347278391 Averaged sum = 0.4345741924615124779 logp*logq = 17.81341648198502187 -------------- ************************************* p = 31; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56602985.43143808978 -------------- Searches starting with [31,181]-exponents: u = 3, v = 35 n_start has 84 digits starting right neighbors generation We generated 638 left neighbors We generated 9372 right neighbors We generated 10009 non-negative rho_i D1(31,181) = 0.7342415751813481181 D2(31,181) = 0.02933883652000208853 C1(31,181) = 0.9273324836059574391 C2(31,181) = 1.520716814392689125 C3(31,181) = 3.139521877585312160 C4(31,181) = 1448 Sum = 5269.354343261518311 Averaged sum = 0.5264616188691695784 logp*logq = 17.85157228792086486 -------------- ************************************* p = 31; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68083111.60896210502 -------------- Searches starting with [31,191]-exponents: u = 3, v = 15 n_start has 39 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(31,191) = 1.179843085366273955 D2(31,191) = 0.04467410022691900551 C1(31,191) = 1.626606524342538664 C2(31,191) = 1.771002994952404600 C3(31,191) = 7.439326447824972976 C4(31,191) = 1528 Sum = 5199.183509437349975 Averaged sum = 0.5194508451830702342 logp*logq = 18.03623974636946243 -------------- ************************************* p = 31; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70562596.67032000813 -------------- Searches starting with [31,193]-exponents: u = 3, v = 15 n_start has 39 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(31,193) = 0.7244423239462228640 D2(31,193) = 0.1089826556447813875 C1(31,193) = 1.009536061864060534 C2(31,193) = 1.837037253411678033 C3(31,193) = 3.474626134395419346 C4(31,193) = 1544 Sum = 4789.456346921774829 Averaged sum = 0.4785149712180812098 logp*logq = 18.07201076986889415 -------------- ************************************* p = 31; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75712513.09092908762 -------------- Searches starting with [31,197]-exponents: u = 3, v = 11 n_start has 30 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(31,197) = 1.480721610312553798 D2(31,197) = 0.08938876286198806425 C1(31,197) = 2.090522057588330954 C2(31,197) = 1.889840494574885396 C3(31,197) = 13.18557105606527616 C4(31,197) = 1576 Sum = 5458.113012558412786 Averaged sum = 0.5453205127943263849 logp*logq = 18.14245400317446606 -------------- ************************************* p = 31; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78384835.16111389495 -------------- Searches starting with [31,199]-exponents: u = 3, v = 11 n_start has 30 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(31,199) = 0.8249820522180527787 D2(31,199) = 0.1476368597915845759 C1(31,199) = 1.106860224382956677 C2(31,199) = 1.949813673554174544 C3(31,199) = 3.917908047383415184 C4(31,199) = 1592 Sum = 4337.746944071214161 Averaged sum = 0.4333846482237200681 logp*logq = 18.17714103754339668 -------------- ************************************* p = 31; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95842075.74869429758 -------------- Searches starting with [31,211]-exponents: u = 3, v = 7 n_start has 21 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(31,211) = 0.7006253873799837078 D2(31,211) = 0.1622635954324914269 C1(31,211) = 0.8811744151532730370 C2(31,211) = 1.874310997148033659 C3(31,211) = 2.965733220655663404 C4(31,211) = 1688 Sum = 4965.616667086841598 Averaged sum = 0.4961151630619284242 logp*logq = 18.37821235057657027 -------------- ************************************* p = 31; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115890770.9418708823 -------------- Searches starting with [31,223]-exponents: u = 3, v = 5 n_start has 17 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(31,223) = 0.6977889832370890054 D2(31,223) = 0.09977635280238889552 C1(31,223) = 1.056802846395604564 C2(31,223) = 1.959901514026111384 C3(31,223) = 3.683270055582178101 C4(31,223) = 1784 Sum = 5038.226287059815860 Averaged sum = 0.5033695960695190189 logp*logq = 18.56815867564732930 -------------- ************************************* p = 31; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 123186366.9420328636 -------------- Searches starting with [31,227]-exponents: u = 3, v = 5 n_start has 17 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(31,227) = 0.6867840331714265092 D2(31,227) = 0.07827614677032151124 C1(31,227) = 0.8673932348768905015 C2(31,227) = 1.942230434702728366 C3(31,227) = 2.915735629625455394 C4(31,227) = 1816 Sum = 5073.172926200463203 Averaged sum = 0.5068611176141935460 logp*logq = 18.62920894500260723 -------------- ************************************* p = 31; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126953550.4374066050 -------------- Searches starting with [31,229]-exponents: u = 3, v = 5 n_start has 17 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(31,229) = 0.7591336938779422809 D2(31,229) = 0.06805757788311356849 C1(31,229) = 1.077279326962404530 C2(31,229) = 1.933900585175710512 C3(31,229) = 3.777503134591129932 C4(31,229) = 1832 Sum = 4788.473665542836832 Averaged sum = 0.4784167914419858959 logp*logq = 18.65933183293465131 -------------- ************************************* p = 31; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134731747.0510716794 -------------- Searches starting with [31,233]-exponents: u = 3, v = 5 n_start has 17 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(31,233) = 0.6994231804430827186 D2(31,233) = 0.04419442217470050965 C1(31,233) = 0.8867981862717774754 C2(31,233) = 1.745523371080573660 C3(31,233) = 2.986381530887746741 C4(31,233) = 1864 Sum = 4807.971163318734266 Averaged sum = 0.4803647880226530389 logp*logq = 18.71879630070111476 -------------- ************************************* p = 31; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147023906.8513981545 -------------- Searches starting with [31,239]-exponents: u = 3, v = 5 n_start has 17 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(31,239) = 0.7007064710732910714 D2(31,239) = 0.01597131607675331581 C1(31,239) = 0.9127160543729407650 C2(31,239) = 1.415598788200541006 C3(31,239) = 3.083415493999718503 C4(31,239) = 1912 Sum = 4587.283526690723926 Averaged sum = 0.4583158683875236213 logp*logq = 18.80610576316208285 -------------- ************************************* p = 31; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 151292028.2202340842 -------------- Searches starting with [31,241]-exponents: u = 3, v = 5 n_start has 17 digits starting right neighbors generation We generated 17 left neighbors We generated 9993 right neighbors We generated 10009 non-negative rho_i D1(31,241) = 0.9632613148496490171 D2(31,241) = 0.008680434699035649975 C1(31,241) = 1.213717733630230637 C2(31,241) = 1.278767144109069178 C3(31,241) = 4.470008516494697729 C4(31,241) = 1928 Sum = 5701.130784686511219 Averaged sum = 0.5696004380743841761 logp*logq = 18.83472248880627695 -------------- ************************************* p = 31; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173959781.9012098564 -------------- Searches starting with [31,251]-exponents: u = 8, v = 3 n_start has 20 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(31,251) = 0.7359622404812611610 D2(31,251) = 0.04405502822627079095 C1(31,251) = 0.9874143244011391006 C2(31,251) = 1.638226972185431900 C3(31,251) = 3.381078735239343379 C4(31,251) = 2008 Sum = 4820.170622900390409 Averaged sum = 0.4815836370167239893 logp*logq = 18.97433469196338949 -------------- ************************************* p = 31; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 188659860.5913923877 -------------- Searches starting with [31,257]-exponents: u = 8, v = 8 n_start has 32 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(31,257) = 0.8664449340735065581 D2(31,257) = 0.09079873202733338408 C1(31,257) = 1.217551628246355484 C2(31,257) = 1.932879168198427131 C3(31,257) = 4.491201560814411677 C4(31,257) = 2056 Sum = 4768.085120402039252 Averaged sum = 0.4763797702469816417 logp*logq = 19.05545627224471590 -------------- ************************************* p = 31; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204219437.5435831405 -------------- Searches starting with [31,263]-exponents: u = 8, v = 8 n_start has 32 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(31,263) = 1.173112838927160758 D2(31,263) = 0.1281972295672478447 C1(31,263) = 1.498030287936690908 C2(31,263) = 1.447028995621382247 C3(31,263) = 6.348083633371281209 C4(31,263) = 2104 Sum = 4907.870531483030576 Averaged sum = 0.4903457419805205890 logp*logq = 19.13470564791875733 -------------- ************************************* p = 31; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220667431.3015989540 -------------- Searches starting with [31,269]-exponents: u = 13, v = 3 n_start has 27 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(31,269) = 1.087160686028793950 D2(31,269) = 0.1082486128688757160 C1(31,269) = 1.356665579161172722 C2(31,269) = 2.046726768193861139 C3(31,269) = 5.332116338271218551 C4(31,269) = 2152 Sum = 5212.669553487403538 Averaged sum = 0.5207982369354984052 logp*logq = 19.21216729034015533 -------------- ************************************* p = 31; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226352561.6310410076 -------------- Searches starting with [31,271]-exponents: u = 13, v = 3 n_start has 27 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(31,271) = 0.9233637151746533371 D2(31,271) = 0.08516816925806803737 C1(31,271) = 1.255110948874984924 C2(31,271) = 2.025378881505468237 C3(31,271) = 4.704210861930264882 C4(31,271) = 2168 Sum = 3779.215657770721192 Averaged sum = 0.3775817422090839436 logp*logq = 19.23760434890630783 -------------- ************************************* p = 31; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 244030592.3904907394 -------------- Searches starting with [31,277]-exponents: u = 18, v = 3 n_start has 35 digits starting right neighbors generation We generated 137 left neighbors We generated 9873 right neighbors We generated 10009 non-negative rho_i D1(31,277) = 0.7085401545318938136 D2(31,277) = 0.02324037940803958482 C1(31,277) = 1.010972393530814426 C2(31,277) = 1.968571848074360271 C3(31,277) = 3.480788748711358983 C4(31,277) = 2216 Sum = 5050.432125519574488 Averaged sum = 0.5045890823778174131 logp*logq = 19.31280415404778221 -------------- ************************************* p = 31; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 256345778.6288613417 -------------- Searches starting with [31,281]-exponents: u = 18, v = 3 n_start has 35 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(31,281) = 0.7060365526392003161 D2(31,281) = 0.1235322038936626216 C1(31,281) = 0.9838907703811220950 C2(31,281) = 1.942245621365607146 C3(31,281) = 3.366412794540414320 C4(31,281) = 2248 Sum = 5037.683654480471484 Averaged sum = 0.5033153816046030057 logp*logq = 19.36203778884116076 -------------- ************************************* p = 31; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 262665629.3857552295 -------------- Searches starting with [31,283]-exponents: u = 23, v = 3 n_start has 42 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(31,283) = 0.7172748467809239268 D2(31,283) = 0.08916536245027859221 C1(31,283) = 0.9107136732892977647 C2(31,283) = 1.909462733151777658 C3(31,283) = 3.075807681857266530 C4(31,283) = 2264 Sum = 4665.223748786163253 Averaged sum = 0.4661028822845602211 logp*logq = 19.38639241010724313 -------------- ************************************* p = 31; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 295931941.5430575157 -------------- Searches starting with [31,293]-exponents: u = 43, v = 3 n_start has 72 digits starting right neighbors generation We generated 591 left neighbors We generated 9419 right neighbors We generated 10009 non-negative rho_i D1(31,293) = 0.7525777575256994385 D2(31,293) = 0.01043230113090618946 C1(31,293) = 0.9994329460191068563 C2(31,293) = 1.748365876460827444 C3(31,293) = 3.431585671844557225 C4(31,293) = 2344 Sum = 4399.310150899088603 Averaged sum = 0.4395354332000288343 logp*logq = 19.50564005863161856 -------------- ************************************* p = 31; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 347377237.5267240438 -------------- Searches starting with [31,307]-exponents: u = 5, v = 322 n_start has 809 digits --- performed 5000 steps in the continued fraction search [31,307]-exponents: u = 91, v = 261 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,307) = 0.6765627797485817211 D2(31,307) = 0.3513724765226475666 C1(31,307) = 0.8093485109781442122 C2(31,307) = 1.395474481810098907 C3(31,307) = 2.714237571328978844 C4(31,307) = 2456 Sum = 6041.111612650778978 Averaged sum = 0.6041715784229201898 logp*logq = 19.66592188724901558 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,307) = 0.6765627797485817211 D2(31,307) = 0.3513724765226475666 C1(31,307) = 0.8093485109781442122 C2(31,307) = 1.395474481810098907 C3(31,307) = 2.714237571328978844 C4(31,307) = 2456 Sum = 6041.111612650778978 Averaged sum = 0.6041715784229201898 logp*logq = 19.66592188724901558 -------------- ************************************* p = 31; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 363167753.6759480841 -------------- Searches starting with [31,311]-exponents: u = 5, v = 67 n_start has 175 digits starting right neighbors generation We generated 3423 left neighbors We generated 6587 right neighbors We generated 10009 non-negative rho_i D1(31,311) = 0.7848574763274282809 D2(31,311) = 0.003827523514699368121 C1(31,311) = 0.9881881352221304982 C2(31,311) = 1.500226092391055011 C3(31,311) = 3.384308082324746452 C4(31,311) = 2488 Sum = 5352.422840042132943 Averaged sum = 0.5347609991050187773 logp*logq = 19.71037541681802475 -------------- ************************************* p = 31; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 371250736.0429938295 -------------- Searches starting with [31,313]-exponents: u = 5, v = 49 n_start has 130 digits **************************************************** Computing .... elapsed time = 6 minutes **************************************************** starting right neighbors generation We generated 1839 left neighbors We generated 8171 right neighbors We generated 10009 non-negative rho_i D1(31,313) = 0.6667986114136674125 D2(31,313) = 0.02131714080264946454 C1(31,313) = 0.8534815698060283714 C2(31,313) = 1.579732089212936836 C3(31,313) = 2.866119488542039179 C4(31,313) = 2504 Sum = 4747.656806611782445 Averaged sum = 0.4743387757629915521 logp*logq = 19.73238823068660890 -------------- ************************************* p = 31; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 387797945.6770436171 -------------- Searches starting with [31,317]-exponents: u = 5, v = 31 n_start has 85 digits starting right neighbors generation We generated 819 left neighbors We generated 9191 right neighbors We generated 10009 non-negative rho_i D1(31,317) = 0.6404234031165045333 D2(31,317) = 0.004869187205347538915 C1(31,317) = 0.7959137544829262012 C2(31,317) = 1.706502607646991121 C3(31,317) = 2.669620527911932935 C4(31,317) = 2536 Sum = 4926.001790384121520 Averaged sum = 0.4921572375246399760 logp*logq = 19.77599500338139267 -------------- ************************************* p = 31; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 449838982.4652112841 -------------- Searches starting with [31,331]-exponents: u = 5, v = 13 n_start has 41 digits starting right neighbors generation We generated 165 left neighbors We generated 9845 right neighbors We generated 10009 non-negative rho_i D1(31,331) = 1.079806739991889526 D2(31,331) = 0.05046862129454576329 C1(31,331) = 1.422111698506513583 C2(31,331) = 1.931970386260637041 C3(31,331) = 5.780502060489887679 C4(31,331) = 2648 Sum = 5179.437122616853866 Averaged sum = 0.5174779820778153528 logp*logq = 19.92440025995297863 -------------- ************************************* p = 31; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 478463416.7312863360 -------------- Searches starting with [31,337]-exponents: u = 5, v = 10 n_start has 33 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(31,337) = 0.7320223271601193379 D2(31,337) = 0.1236198440947540976 C1(31,337) = 0.9281323375428471460 C2(31,337) = 2.008308575196640742 C3(31,337) = 3.142621478786345497 C4(31,337) = 2696 Sum = 5065.128314884500729 Averaged sum = 0.5060573798465881435 logp*logq = 19.98609031187242476 -------------- ************************************* p = 31; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 529003946.0335270660 -------------- Searches starting with [31,347]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(31,347) = 0.6876058029780960292 D2(31,347) = 0.02777131816611948905 C1(31,347) = 0.8475658693007819138 C2(31,347) = 2.066861814055587854 C3(31,347) = 2.845277749939996279 C4(31,347) = 2776 Sum = 4727.919850982134103 Averaged sum = 0.4723668549287775105 logp*logq = 20.08650644921540823 -------------- ************************************* p = 31; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 539547866.3048433450 -------------- Searches starting with [31,349]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(31,349) = 0.6483772282618788362 D2(31,349) = 0.04042648625360556818 C1(31,349) = 0.8859670382055331317 C2(31,349) = 2.080624629003312417 C3(31,349) = 2.983320847778135638 C4(31,349) = 2792 Sum = 4926.808824770430890 Averaged sum = 0.4922378683954871506 logp*logq = 20.10624206218338454 -------------- ************************************* p = 31; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 561081227.2033927157 -------------- Searches starting with [31,353]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(31,353) = 1.282056246809391830 D2(31,353) = 0.06655537905776090676 C1(31,353) = 1.707980670816464325 C2(31,353) = 2.108949483116286225 C3(31,353) = 8.224959653040202833 C4(31,353) = 2824 Sum = 4456.588883006698798 Averaged sum = 0.4452581559603056047 logp*logq = 20.14537624302977954 -------------- ************************************* p = 31; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 594513392.9485426652 -------------- Searches starting with [31,359]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(31,359) = 0.9932960173173887250 D2(31,359) = 0.07202843825131645480 C1(31,359) = 1.486572343509194998 C2(31,359) = 1.256291341894295811 C3(31,359) = 6.258978912604531175 C4(31,359) = 2872 Sum = 4914.683344867346271 Averaged sum = 0.4910264107170892467 logp*logq = 20.20325380192973832 -------------- ************************************* p = 31; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 641254533.4129901676 -------------- Searches starting with [31,367]-exponents: u = 12, v = 4 n_start has 29 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(31,367) = 0.7376722395897803229 D2(31,367) = 0.07952542900290414350 C1(31,367) = 0.9054312184665289183 C2(31,367) = 2.067673367981146563 C3(31,367) = 3.055827571014055698 C4(31,367) = 2936 Sum = 4591.498660374519121 Averaged sum = 0.4587370027349904207 logp*logq = 20.27893702407415074 -------------- ************************************* p = 31; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 677977407.7265477262 -------------- Searches starting with [31,373]-exponents: u = 12, v = 4 n_start has 29 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(31,373) = 0.8907091810802659845 D2(31,373) = 0.05163799392472008079 C1(31,373) = 1.094619676669341810 C2(31,373) = 2.043389115393882926 C3(31,373) = 3.859186525282502585 C4(31,373) = 2984 Sum = 4462.437462465916201 Averaged sum = 0.4458424880073849736 logp*logq = 20.33462452341223635 -------------- ************************************* p = 31; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 716166582.0939276681 -------------- Searches starting with [31,379]-exponents: u = 19, v = 4 n_start has 39 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(31,379) = 0.6976074634141186152 D2(31,379) = 0.02369456684667146024 C1(31,379) = 0.8923795536014373483 C2(31,379) = 1.856691402262940482 C3(31,379) = 3.007016286117034270 C4(31,379) = 3032 Sum = 4415.245146682556162 Averaged sum = 0.4411274999183291199 logp*logq = 20.38942335442034524 -------------- ************************************* p = 31; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 742457393.6285754151 -------------- Searches starting with [31,383]-exponents: u = 19, v = 4 n_start has 39 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(31,383) = 0.8586706178643456102 D2(31,383) = 0.008760435019148768748 C1(31,383) = 1.090240567362588757 C2(31,383) = 1.843769241286366784 C3(31,383) = 3.838393089991454349 C4(31,383) = 3064 Sum = 5277.723365356489311 Averaged sum = 0.5272977685439593677 logp*logq = 20.42547604467628362 -------------- ************************************* p = 31; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 783165939.1667570576 -------------- Searches starting with [31,389]-exponents: u = 26, v = 4 n_start has 50 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(31,389) = 0.9076078588791669644 D2(31,389) = 0.07783104250666315093 C1(31,389) = 1.227862898771848667 C2(31,389) = 1.914849738576545775 C3(31,389) = 4.548700172712451014 C4(31,389) = 3112 Sum = 4456.468825152806974 Averaged sum = 0.4452461609704073308 logp*logq = 20.47885515891767176 -------------- ************************************* p = 31; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 839872472.9288252495 -------------- Searches starting with [31,397]-exponents: u = 54, v = 4 n_start has 91 digits starting right neighbors generation We generated 1025 left neighbors We generated 8985 right neighbors We generated 10009 non-negative rho_i D1(31,397) = 0.8548268035211505090 D2(31,397) = 0.006179952797156845753 C1(31,397) = 1.058796118132721272 C2(31,397) = 1.847526029334327508 C3(31,397) = 3.692338890550060384 C4(31,397) = 3176 Sum = 4982.314855619008852 Averaged sum = 0.4977834804295143223 logp*logq = 20.54876062033424843 -------------- ************************************* p = 31; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 869289566.2884873643 -------------- Searches starting with [31,401]-exponents: u = 96, v = 4 n_start has 154 digits starting right neighbors generation We generated 2944 left neighbors We generated 7066 right neighbors We generated 10009 non-negative rho_i D1(31,401) = 0.9097188556318407362 D2(31,401) = 0.002301486917839057373 C1(31,401) = 1.155611621036465559 C2(31,401) = 1.741220913518729575 C3(31,401) = 4.160784017773247062 C4(31,401) = 3208 Sum = 4675.339119911798681 Averaged sum = 0.4671135098323307704 logp*logq = 20.58318684554828266 -------------- ************************************* p = 31; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 930302999.7856431613 -------------- Searches starting with [31,409]-exponents: u = 7, v = 201 n_start has 536 digits --- performed 5000 steps in the continued fraction search [31,409]-exponents: u = 286, v = 27 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,409) = 0.7037689982877076155 D2(31,409) = 0.2696980624475185976 C1(31,409) = 0.8518438212972238175 C2(31,409) = 1.432297310598207443 C3(31,409) = 2.860334264944145151 C4(31,409) = 3272 Sum = 5743.278923164844122 Averaged sum = 0.5743853308495693692 logp*logq = 20.65102089726937580 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,409) = 0.7037689982877076155 D2(31,409) = 0.2696980624475185976 C1(31,409) = 0.8518438212972238175 C2(31,409) = 1.432297310598207443 C3(31,409) = 2.860334264944145151 C4(31,409) = 3272 Sum = 5743.278923164844122 Averaged sum = 0.5743853308495693692 logp*logq = 20.65102089726937580 -------------- ************************************* p = 31; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1010763154.855779397 -------------- Searches starting with [31,419]-exponents: u = 7, v = 29 n_start has 87 digits starting right neighbors generation We generated 870 left neighbors We generated 9140 right neighbors We generated 10009 non-negative rho_i D1(31,419) = 0.7588057562923380326 D2(31,419) = 0.04176458157570788868 C1(31,419) = 0.9432635535862317430 C2(31,419) = 1.832390222788741931 C3(31,419) = 3.201838039135827409 C4(31,419) = 3352 Sum = 4729.879154549483367 Averaged sum = 0.4725626091067522596 logp*logq = 20.73397148134558006 -------------- ************************************* p = 31; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1027427387.016482416 -------------- Searches starting with [31,421]-exponents: u = 7, v = 25 n_start has 77 digits starting right neighbors generation We generated 719 left neighbors We generated 9291 right neighbors We generated 10009 non-negative rho_i D1(31,421) = 0.6984434564132530858 D2(31,421) = 0.0002015442818662627756 C1(31,421) = 0.9261618865270054784 C2(31,421) = 1.918812872723665840 C3(31,421) = 3.134991079509296620 C4(31,421) = 3368 Sum = 4548.207450191547881 Averaged sum = 0.4544117744221748308 logp*logq = 20.75032383226711862 -------------- ************************************* p = 31; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1113682091.933479203 -------------- Searches starting with [31,431]-exponents: u = 7, v = 13 n_start has 45 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(31,431) = 0.7694099354438274465 D2(31,431) = 0.05933849278514171448 C1(31,431) = 1.008501106660465198 C2(31,431) = 1.982259559777738778 C3(31,431) = 3.470192399499097595 C4(31,431) = 3448 Sum = 4495.068657889712478 Averaged sum = 0.4491026733829266139 logp*logq = 20.83093756244009850 -------------- ************************************* p = 31; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1131529030.937420047 -------------- Searches starting with [31,433]-exponents: u = 7, v = 13 n_start has 45 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(31,433) = 0.9738254650819300651 D2(31,433) = 0.07201137767394050937 C1(31,433) = 1.235283839536284539 C2(31,433) = 1.995782126178183581 C3(31,433) = 4.590536464196433441 C4(31,433) = 3464 Sum = 5541.574707186226629 Averaged sum = 0.5536591774589096442 logp*logq = 20.84683567974577823 -------------- ************************************* p = 31; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1186285851.755939283 -------------- Searches starting with [31,439]-exponents: u = 7, v = 9 n_start has 35 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(31,439) = 0.7030640812825128944 D2(31,439) = 0.1122009699842392346 C1(31,439) = 0.8910103002431902577 C2(31,439) = 2.038496913530292804 C3(31,439) = 3.001940887621317091 C4(31,439) = 3512 Sum = 4973.744644770627820 Averaged sum = 0.4969272299700897012 logp*logq = 20.89409313019752075 -------------- ************************************* p = 31; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1223817146.757171669 -------------- Searches starting with [31,443]-exponents: u = 7, v = 9 n_start has 35 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(31,443) = 0.7586992788493774873 D2(31,443) = 0.1411714159647641450 C1(31,443) = 0.9387563618628871021 C2(31,443) = 2.069131313353580247 C3(31,443) = 3.184083238506093768 C4(31,443) = 3544 Sum = 4618.690826601054032 Averaged sum = 0.4614537742632684615 logp*logq = 20.92524061997249078 -------------- ************************************* p = 31; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1281681153.130701095 -------------- Searches starting with [31,449]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(31,449) = 0.9815037011640988710 D2(31,449) = 0.1140908372883790465 C1(31,449) = 1.418244547422766657 C2(31,449) = 1.280038415597878526 C3(31,449) = 5.752989030175319898 C4(31,449) = 3592 Sum = 4636.370635608773975 Averaged sum = 0.4632201654120065915 logp*logq = 20.97143845400482892 -------------- ************************************* p = 31; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1361815258.836946650 -------------- Searches starting with [31,457]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(31,457) = 0.6616819107003001143 D2(31,457) = 0.1236471572298814161 C1(31,457) = 0.8200916453933696536 C2(31,457) = 2.017994232996745920 C3(31,457) = 2.750451650510719058 C4(31,457) = 3656 Sum = 4731.563691453317756 Averaged sum = 0.4727309113251391504 logp*logq = 21.03208439585339621 -------------- ************************************* p = 31; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1403184873.701343617 -------------- Searches starting with [31,461]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(31,461) = 0.9015893099030270211 D2(31,461) = 0.09497645778457492888 C1(31,461) = 1.247148026634224330 C2(31,461) = 1.852728174544368688 C3(31,461) = 4.658222804818945307 C4(31,461) = 3688 Sum = 4199.533168948991731 Averaged sum = 0.4195756987660097643 logp*logq = 21.06201039966472786 -------------- ************************************* p = 31; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1424200112.286980890 -------------- Searches starting with [31,463]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(31,463) = 0.7052034493772490569 D2(31,463) = 0.08561628703342436660 C1(31,463) = 0.9015611583732164322 C2(31,463) = 1.844233584107159875 C3(31,463) = 3.041272058510307077 C4(31,463) = 3704 Sum = 4909.085975105205722 Averaged sum = 0.4904671770511745151 logp*logq = 21.07687616835443896 -------------- ************************************* p = 31; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1466898324.698018325 -------------- Searches starting with [31,467]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(31,467) = 0.9742079966960155968 D2(31,467) = 0.06422419876241314649 C1(31,467) = 1.192363291013491392 C2(31,467) = 1.733896229481889235 C3(31,467) = 4.353781890253996122 C4(31,467) = 3736 Sum = 4481.854843842873854 Averaged sum = 0.4477824801521504500 logp*logq = 21.10641602538768080 -------------- ************************************* p = 31; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1600434323.306744489 -------------- Searches starting with [31,479]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(31,479) = 0.7874648057260796776 D2(31,479) = 0.01483931548062367189 C1(31,479) = 1.159884745505602784 C2(31,479) = 1.366885130289422657 C3(31,479) = 4.182776958716114079 C4(31,479) = 3832 Sum = 5071.059742466969953 Averaged sum = 0.5066499892563662656 logp*logq = 21.19354088142241582 -------------- ************************************* p = 31; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1694103986.779235950 -------------- Searches starting with [31,487]-exponents: u = 9, v = 1 n_start has 17 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(31,487) = 0.9683226063035521176 D2(31,487) = 0.004213009647893608854 C1(31,487) = 1.512027127911428762 C2(31,487) = 1.291575962597079368 C3(31,487) = 6.458655616607450636 C4(31,487) = 3896 Sum = 4741.015586085760791 Averaged sum = 0.4736752508827815757 logp*logq = 21.25041981664010748 -------------- ************************************* p = 31; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1742366089.759539172 -------------- Searches starting with [31,491]-exponents: u = 9, v = 1 n_start has 17 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(31,491) = 0.7386307244647593830 D2(31,491) = 0.007780646688748078520 C1(31,491) = 1.153365299569884822 C2(31,491) = 1.480890491828352035 C3(31,491) = 4.149269049308056696 C4(31,491) = 3928 Sum = 5063.596555912053240 Averaged sum = 0.5059043416836900030 logp*logq = 21.27850984815350602 -------------- ************************************* p = 31; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1841801193.607600805 -------------- Searches starting with [31,499]-exponents: u = 9, v = 1 n_start has 17 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(31,499) = 0.8406287951654615087 D2(31,499) = 0.01534054858592316287 C1(31,499) = 1.030294430497866328 C2(31,499) = 1.666464258346686218 C3(31,499) = 3.564760757171444049 C4(31,499) = 3992 Sum = 4524.110083623679513 Averaged sum = 0.4520042045782475286 logp*logq = 21.33400983931713638 -------------- ************************************* p = 31; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1892996856.288020507 -------------- Searches starting with [31,503]-exponents: u = 9, v = 1 n_start has 17 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(31,503) = 0.6196909306311319944 D2(31,503) = 0.01954973658583906734 C1(31,503) = 0.8467735962587157019 C2(31,503) = 1.750895516968604272 C3(31,503) = 2.842498006996399879 C4(31,503) = 4024 Sum = 4853.855618316976355 Averaged sum = 0.4849491076348262918 logp*logq = 21.36142704846858381 -------------- ************************************* p = 31; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1971670010.112747451 -------------- Searches starting with [31,509]-exponents: u = 9, v = 1 n_start has 17 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(31,509) = 0.8838007146476441321 D2(31,509) = 0.02640681666822423287 C1(31,509) = 1.163968947987123319 C2(31,509) = 1.874501772217944703 C3(31,509) = 4.203906200287928767 C4(31,509) = 4072 Sum = 4272.602439377808230 Averaged sum = 0.4268760554878417654 logp*logq = 21.40214674145332408 -------------- ************************************* p = 31; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2135924899.120533108 -------------- Searches starting with [31,521]-exponents: u = 9, v = 6 n_start has 30 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(31,521) = 0.6919180269963560957 D2(31,521) = 0.04148361878632967254 C1(31,521) = 0.9090269725567962029 C2(31,521) = 2.087781981854361814 C3(31,521) = 3.069413827415747674 C4(31,521) = 4168 Sum = 4618.278948383033396 Averaged sum = 0.4614126234771738830 logp*logq = 21.48216559783848137 -------------- ************************************* p = 31; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2164213067.326519328 -------------- Searches starting with [31,523]-exponents: u = 9, v = 6 n_start has 30 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(31,523) = 0.7017962086724928497 D2(31,523) = 0.04353920998674705016 C1(31,523) = 0.8760122999962865313 C2(31,523) = 2.090614346089867634 C3(31,523) = 2.946905623415583451 C4(31,523) = 4184 Sum = 4706.299678529188339 Averaged sum = 0.4702067817493444239 logp*logq = 21.49532265303134352 -------------- ************************************* p = 31; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2430885122.742787565 -------------- Searches starting with [31,541]-exponents: u = 9, v = 6 n_start has 30 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(31,541) = 1.186925815600461522 D2(31,541) = 0.03834345533884269182 C1(31,541) = 1.797691573932602002 C2(31,541) = 1.168930534406055160 C3(31,541) = 9.187572074103422601 C4(31,541) = 4328 Sum = 4571.936415423131034 Averaged sum = 0.4567825372587802012 logp*logq = 21.61152127601895416 -------------- ************************************* p = 31; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2524721303.798650186 -------------- Searches starting with [31,547]-exponents: u = 11, v = 1 n_start has 20 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(31,547) = 0.8024181101976822965 D2(31,547) = 0.04523547452292395769 C1(31,547) = 1.215263873789430173 C2(31,547) = 2.416039264315313596 C3(31,547) = 4.478543227283181939 C4(31,547) = 4376 Sum = 4967.792543887747938 Averaged sum = 0.4963325550891945187 logp*logq = 21.64939651884878734 -------------- ************************************* p = 31; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2686776899.196752987 -------------- Searches starting with [31,557]-exponents: u = 11, v = 1 n_start has 20 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(31,557) = 0.6442458040806147336 D2(31,557) = 0.06425322171163345125 C1(31,557) = 0.8114518502084102210 C2(31,557) = 1.745260215619923552 C3(31,557) = 2.721289990332576136 C4(31,557) = 4456 Sum = 4865.325537622609015 Averaged sum = 0.4860950682008801094 logp*logq = 21.71160813343285201 -------------- ************************************* p = 31; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2787472771.067803556 -------------- Searches starting with [31,563]-exponents: u = 11, v = 1 n_start has 20 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(31,563) = 0.6625863745578072309 D2(31,563) = 0.07373726691534039502 C1(31,563) = 0.8475811826946872704 C2(31,563) = 1.862323369938080750 C3(31,563) = 2.845331504776610682 C4(31,563) = 4504 Sum = 4786.287868638358398 Averaged sum = 0.4781984082963691075 logp*logq = 21.74840120545814193 -------------- ************************************* p = 31; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2890814801.513195146 -------------- Searches starting with [31,569]-exponents: u = 11, v = 1 n_start has 20 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(31,569) = 0.7002205226252262377 D2(31,569) = 0.08701467816335804840 C1(31,569) = 0.8843648698160547513 C2(31,569) = 2.054046549177425118 C3(31,569) = 2.977429749134722592 C4(31,569) = 4552 Sum = 4568.909358811074765 Averaged sum = 0.4564801037876985478 logp*logq = 21.78480423757349508 -------------- ************************************* p = 31; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2925857180.455793005 -------------- Searches starting with [31,571]-exponents: u = 11, v = 1 n_start has 20 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(31,571) = 0.8728437526279162620 D2(31,571) = 0.08902250002351797960 C1(31,571) = 1.134797374219056201 C2(31,571) = 2.056740156746090528 C3(31,571) = 4.055299431406149072 C4(31,571) = 4568 Sum = 4519.518556137738811 Averaged sum = 0.4515454646955478880 logp*logq = 21.79685332784582437 -------------- ************************************* p = 31; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3032790504.794989327 -------------- Searches starting with [31,577]-exponents: u = 11, v = 1 n_start has 20 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(31,577) = 0.6644363067337579011 D2(31,577) = 0.09506446365110460451 C1(31,577) = 0.8211398044354411027 C2(31,577) = 2.064824835472932847 C3(31,577) = 2.754010661701515687 C4(31,577) = 4616 Sum = 4774.982696566273631 Averaged sum = 0.4770689076397515866 logp*logq = 21.83274899132365496 -------------- ************************************* p = 31; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3217124096.114740436 -------------- Searches starting with [31,587]-exponents: u = 11, v = 1 n_start has 20 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(31,587) = 1.075852343766498103 D2(31,587) = 0.06875295481034242705 C1(31,587) = 1.593404833583306129 C2(31,587) = 1.245055083932277203 C3(31,587) = 7.140756020763050369 C4(31,587) = 4696 Sum = 4641.051191308660552 Averaged sum = 0.4636878001107663654 logp*logq = 21.89175365956490804 -------------- ************************************* p = 31; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3331457937.884394649 -------------- Searches starting with [31,593]-exponents: u = 13, v = 1 n_start has 23 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(31,593) = 0.8030829573240653669 D2(31,593) = 0.07967252126305294854 C1(31,593) = 1.010397361919423299 C2(31,593) = 1.493176371696934699 C3(31,593) = 3.478320251351989671 C4(31,593) = 4744 Sum = 5162.681736488891176 Averaged sum = 0.5158039500938046933 logp*logq = 21.92667586430841272 -------------- ************************************* p = 31; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3448642448.159159393 -------------- Searches starting with [31,599]-exponents: u = 13, v = 1 n_start has 23 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(31,599) = 0.6870060460132928965 D2(31,599) = 0.05403932578116176050 C1(31,599) = 0.8994848346405387823 C2(31,599) = 2.333025440044957026 C3(31,599) = 3.033491486348722427 C4(31,599) = 4792 Sum = 4592.736132347753213 Averaged sum = 0.4588606386599813381 logp*logq = 21.96124649726368074 -------------- ************************************* p = 31; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3488344592.648877297 -------------- Searches starting with [31,601]-exponents: u = 13, v = 1 n_start has 23 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(31,601) = 0.9143067656027140583 D2(31,601) = 0.04222849452423028295 C1(31,601) = 1.117300342545681879 C2(31,601) = 2.322110997403589764 C3(31,601) = 3.968697891262545229 C4(31,601) = 4808 Sum = 4291.156304038462906 Averaged sum = 0.4287297736075994511 logp*logq = 21.97269313187737483 -------------- ************************************* p = 31; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3609394504.986879707 -------------- Searches starting with [31,607]-exponents: u = 13, v = 1 n_start has 23 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(31,607) = 0.8169617674775575607 D2(31,607) = 0.008584377268937984173 C1(31,607) = 1.119457707758118839 C2(31,607) = 2.291138256443903513 C3(31,607) = 3.979275003645180236 C4(31,607) = 4856 Sum = 4432.195010451351886 Averaged sum = 0.4428209621791739320 logp*logq = 22.00680586807298032 -------------- ************************************* p = 31; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3733392085.791403470 -------------- Searches starting with [31,613]-exponents: u = 13, v = 1 n_start has 23 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(31,613) = 0.7961526598460101210 D2(31,613) = 0.1270581426536247157 C1(31,613) = 0.9904136033519702788 C2(31,613) = 2.034135335648193122 C3(31,613) = 3.393612837065573006 C4(31,613) = 4904 Sum = 4765.477085153442516 Averaged sum = 0.4761192012342334415 logp*logq = 22.04058306372107536 -------------- ************************************* p = 31; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3817715402.891204083 -------------- Searches starting with [31,617]-exponents: u = 13, v = 1 n_start has 23 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(31,617) = 1.521095035979333185 D2(31,617) = 0.1310967220686905758 C1(31,617) = 1.983263621665142956 C2(31,617) = 2.039407257435076921 C3(31,617) = 11.55127746550159686 C4(31,617) = 4936 Sum = 6954.465512678533473 Averaged sum = 0.6948212121768941425 logp*logq = 22.06291801858407295 -------------- ************************************* p = 31; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3860379205.954076088 -------------- Searches starting with [31,619]-exponents: u = 13, v = 1 n_start has 23 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(31,619) = 0.7583987169728348958 D2(31,619) = 0.1331234831869589985 C1(31,619) = 0.9764763429934903850 C2(31,619) = 2.042047630140337749 C3(31,619) = 3.335759475805695666 C4(31,619) = 4952 Sum = 4190.391980819841777 Averaged sum = 0.4186624019202559473 logp*logq = 22.07403125548240489 -------------- ************************************* p = 31; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4123490438.154397608 -------------- Searches starting with [31,631]-exponents: u = 15, v = 1 n_start has 26 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(31,631) = 0.8208783519999886323 D2(31,631) = 0.1102541152130472478 C1(31,631) = 1.044847685951942672 C2(31,631) = 1.560562407265803025 C3(31,631) = 3.629342907889198352 C4(31,631) = 5048 Sum = 4388.895476461595976 Averaged sum = 0.4384949022341488636 logp*logq = 22.13996583536859514 -------------- ************************************* p = 31; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4352257257.700915601 -------------- Searches starting with [31,641]-exponents: u = 15, v = 1 n_start has 26 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(31,641) = 0.9147251017723193930 D2(31,641) = 0.05093540414007498711 C1(31,641) = 1.103157859423735493 C2(31,641) = 2.256708104152145405 C3(31,641) = 3.900053070002235029 C4(31,641) = 5128 Sum = 3763.261000630203004 Averaged sum = 0.3759877111230095917 logp*logq = 22.19396045727616464 -------------- ************************************* p = 31; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4399066716.039593273 -------------- Searches starting with [31,643]-exponents: u = 15, v = 1 n_start has 26 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(31,643) = 0.9799695231683465603 D2(31,643) = 0.03860776325699095536 C1(31,643) = 1.213542750014709621 C2(31,643) = 2.245184864197328203 C3(31,643) = 4.469043630103454221 C4(31,643) = 5144 Sum = 4877.622176463973006 Averaged sum = 0.4873236263826529130 logp*logq = 22.20465824538111947 -------------- ************************************* p = 31; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4493754398.841059878 -------------- Searches starting with [31,647]-exponents: u = 15, v = 1 n_start has 26 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(31,647) = 0.8098063765805982130 D2(31,647) = 0.01496420827430094366 C1(31,647) = 1.066518119526048401 C2(31,647) = 2.223142632108938134 C3(31,647) = 3.727683168488248119 C4(31,647) = 5176 Sum = 3966.913492516849235 Averaged sum = 0.3963346480684233424 logp*logq = 22.22595435831294261 -------------- ************************************* p = 31; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4638481686.130621728 -------------- Searches starting with [31,653]-exponents: u = 15, v = 1 n_start has 26 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(31,653) = 0.8207132247885450061 D2(31,653) = 0.1435079948791275874 C1(31,653) = 1.022522635299513220 C2(31,653) = 1.517313575947473855 C3(31,653) = 3.530744332661302169 C4(31,653) = 5224 Sum = 5035.526077162919407 Averaged sum = 0.5030998178801997609 logp*logq = 22.25765292681883085 -------------- ************************************* p = 31; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4786482160.659339334 -------------- Searches starting with [31,659]-exponents: u = 17, v = 1 n_start has 29 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(31,659) = 0.7946353967912016954 D2(31,659) = 0.1226067564528073792 C1(31,659) = 1.140659179975782634 C2(31,659) = 1.469223227488477882 C3(31,659) = 4.084733004877945930 C4(31,659) = 5272 Sum = 4857.026715654842640 Averaged sum = 0.4852659322264804316 logp*logq = 22.28906156533221245 -------------- ************************************* p = 31; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4836550491.099247367 -------------- Searches starting with [31,661]-exponents: u = 17, v = 1 n_start has 29 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(31,661) = 0.6601743545119480315 D2(31,661) = 0.1350426048265735120 C1(31,661) = 0.9476471107371364276 C2(31,661) = 1.600597797099488488 C3(31,661) = 3.219200778112389552 C4(31,661) = 5288 Sum = 4869.990718954639169 Averaged sum = 0.4865611668453031440 logp*logq = 22.29946759512697626 -------------- ************************************* p = 31; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5144788723.027377035 -------------- Searches starting with [31,673]-exponents: u = 17, v = 1 n_start has 29 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(31,673) = 0.6749068028620878322 D2(31,673) = 0.05774249913204156256 C1(31,673) = 0.8826956025146193040 C2(31,673) = 2.202155997990012176 C3(31,673) = 2.971304304585410570 C4(31,673) = 5384 Sum = 4544.636732535205995 Averaged sum = 0.4540550237321616540 logp*logq = 22.36125014086590595 -------------- ************************************* p = 31; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5250555692.930865531 -------------- Searches starting with [31,677]-exponents: u = 17, v = 1 n_start has 29 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(31,677) = 0.9155643067056123584 D2(31,677) = 0.03175320423248284411 C1(31,677) = 1.164770498997243557 C2(31,677) = 2.177645855264271261 C3(31,677) = 4.208065462091077585 C4(31,677) = 5416 Sum = 4639.928105035721174 Averaged sum = 0.4635755924703488035 logp*logq = 22.38159975422116789 -------------- ************************************* p = 31; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5412082753.626264724 -------------- Searches starting with [31,683]-exponents: u = 19, v = 1 n_start has 32 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(31,683) = 0.9438759353473729399 D2(31,683) = 0.1272132207738258734 C1(31,683) = 1.339360626743985468 C2(31,683) = 1.345169460340943919 C3(31,683) = 5.219484905007787587 C4(31,683) = 5464 Sum = 4355.417533901341674 Averaged sum = 0.4351501182836788564 logp*logq = 22.41189983790417449 -------------- ************************************* p = 31; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5632890152.467340068 -------------- Searches starting with [31,691]-exponents: u = 19, v = 1 n_start has 32 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(31,691) = 0.6825835350728719728 D2(31,691) = 0.1268024806709680134 C1(31,691) = 0.8658471661269251623 C2(31,691) = 2.216372164436510487 C3(31,691) = 2.910179400547496752 C4(31,691) = 5528 Sum = 4652.456155953285746 Averaged sum = 0.4648272710513823305 logp*logq = 22.45188849595294749 -------------- ************************************* p = 31; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5917786070.772770320 -------------- Searches starting with [31,701]-exponents: u = 19, v = 1 n_start has 32 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(31,701) = 0.7719263786395503042 D2(31,701) = 0.05030384882879367393 C1(31,701) = 1.084783140673028401 C2(31,701) = 2.143357464818911396 C3(31,701) = 3.812636197773274736 C4(31,701) = 5608 Sum = 4825.153359056038936 Averaged sum = 0.4820814625892735473 logp*logq = 22.50122824136478448 -------------- ************************************* p = 31; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6152940226.945214092 -------------- Searches starting with [31,709]-exponents: u = 21, v = 1 n_start has 35 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(31,709) = 0.6997701251386352861 D2(31,709) = 0.1729866443333304153 C1(31,709) = 0.8718398226315302443 C2(31,709) = 2.216582918204114522 C3(31,709) = 2.931774881817249445 C4(31,709) = 5672 Sum = 4702.846487596278234 Averaged sum = 0.4698617731637804210 logp*logq = 22.54019589020043820 -------------- ************************************* p = 31; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6456103086.210899009 -------------- Searches starting with [31,719]-exponents: u = 21, v = 1 n_start has 35 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(31,719) = 0.8347082657423477913 D2(31,719) = 0.08305364711944071826 C1(31,719) = 1.044329744416518171 C2(31,719) = 2.129961419392310818 C3(31,719) = 3.627024513504057616 C4(31,719) = 5752 Sum = 4753.168876941401717 Averaged sum = 0.4748894871557000416 logp*logq = 22.58829173529136567 -------------- ************************************* p = 31; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6706139017.847238539 -------------- Searches starting with [31,727]-exponents: u = 23, v = 1 n_start has 38 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(31,727) = 0.6857416486618214338 D2(31,727) = 0.02408630640489623787 C1(31,727) = 0.8842161244151852450 C2(31,727) = 2.073610283748614472 C3(31,727) = 2.976883409706732955 C4(31,727) = 5816 Sum = 4304.813920091867131 Averaged sum = 0.4300943071327672226 logp*logq = 22.62628921514349193 -------------- ************************************* p = 31; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6898114334.896632989 -------------- Searches starting with [31,733]-exponents: u = 23, v = 1 n_start has 38 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(31,733) = 0.8243628939824199293 D2(31,733) = 0.1275672735399466184 C1(31,733) = 1.061408525621644883 C2(31,733) = 2.133823860280922138 C3(31,733) = 3.704258440198497629 C4(31,733) = 5864 Sum = 4536.886567977464901 Averaged sum = 0.4532807041639988910 logp*logq = 22.65451392640294035 -------------- ************************************* p = 31; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7093952818.322018975 -------------- Searches starting with [31,739]-exponents: u = 25, v = 1 n_start has 41 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(31,739) = 0.8856863516736950353 D2(31,739) = 0.07473359696342360257 C1(31,739) = 1.225149825507049125 C2(31,739) = 2.082875192490649478 C3(31,739) = 4.533500314832094425 C4(31,739) = 5912 Sum = 4138.394245011137509 Averaged sum = 0.4134673039275789299 logp*logq = 22.68250854234846393 -------------- ************************************* p = 31; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7226680436.743378844 -------------- Searches starting with [31,743]-exponents: u = 25, v = 1 n_start has 41 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(31,743) = 0.8104469029046817288 D2(31,743) = 0.04328359541681423506 C1(31,743) = 1.040628991257215533 C2(31,743) = 2.052673380014777315 C3(31,743) = 3.610502351382881974 C4(31,743) = 5944 Sum = 4982.527939033792065 Averaged sum = 0.4978047696107295499 logp*logq = 22.70104563030135113 -------------- ************************************* p = 31; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7497401148.185207097 -------------- Searches starting with [31,751]-exponents: u = 25, v = 1 n_start has 41 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(31,751) = 0.8852786541982336023 D2(31,751) = 0.1126821409515022603 C1(31,751) = 1.216682204990804816 C2(31,751) = 2.084869182259720819 C3(31,751) = 4.486386761125620584 C4(31,751) = 6008 Sum = 4307.025451250992189 Averaged sum = 0.4303152613898483554 logp*logq = 22.73782228386366883 -------------- ************************************* p = 31; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7705102326.698730503 -------------- Searches starting with [31,757]-exponents: u = 27, v = 1 n_start has 44 digits starting right neighbors generation We generated 95 left neighbors We generated 9915 right neighbors We generated 10009 non-negative rho_i D1(31,757) = 0.7446995804007329542 D2(31,757) = 0.05941253292200264314 C1(31,757) = 0.9308908993177404152 C2(31,757) = 2.033403292713155572 C3(31,757) = 3.153334977871689103 C4(31,757) = 6056 Sum = 4898.754507689795539 Averaged sum = 0.4894349593056045098 logp*logq = 22.76514858618821881 -------------- ************************************* p = 31; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7845814621.716139503 -------------- Searches starting with [31,761]-exponents: u = 27, v = 1 n_start has 44 digits starting right neighbors generation We generated 95 left neighbors We generated 9915 right neighbors We generated 10009 non-negative rho_i D1(31,761) = 0.8542275888901178573 D2(31,761) = 0.02770730345757411065 C1(31,761) = 1.053324265798505218 C2(31,761) = 2.002892617229591451 C3(31,761) = 3.667496798623393790 C4(31,761) = 6088 Sum = 4824.841487705163036 Averaged sum = 0.4820503034973686718 logp*logq = 22.78324605734734943 -------------- ************************************* p = 31; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8132688233.854930214 -------------- Searches starting with [31,769]-exponents: u = 29, v = 1 n_start has 47 digits starting right neighbors generation We generated 102 left neighbors We generated 9908 right neighbors We generated 10009 non-negative rho_i D1(31,769) = 0.7752126923116645653 D2(31,769) = 0.07624269237670665153 C1(31,769) = 0.9663412382397538109 C2(31,769) = 2.018559009642503631 C3(31,769) = 3.294309151425268523 C4(31,769) = 6152 Sum = 4791.068826122433477 Averaged sum = 0.4786760741455123865 logp*logq = 22.81915736192217655 -------------- ************************************* p = 31; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8278876925.315546539 -------------- Searches starting with [31,773]-exponents: u = 29, v = 1 n_start has 47 digits starting right neighbors generation We generated 102 left neighbors We generated 9908 right neighbors We generated 10009 non-negative rho_i D1(31,773) = 0.6403005778947891002 D2(31,773) = 0.04166288448366308835 C1(31,773) = 0.8703710790166926040 C2(31,773) = 1.985134208122911417 C3(31,773) = 2.926467253319203934 C4(31,773) = 6184 Sum = 4640.542457888189844 Averaged sum = 0.4636369725135567833 logp*logq = 22.83697315910485921 -------------- ************************************* p = 31; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8805219271.507201827 -------------- Searches starting with [31,787]-exponents: u = 33, v = 1 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(31,787) = 0.7549771886743592706 D2(31,787) = 0.02507432077866955846 C1(31,787) = 0.9369693210892620119 C2(31,787) = 1.940932953407814282 C3(31,787) = 3.177070986148662331 C4(31,787) = 6296 Sum = 4604.278560325179452 Averaged sum = 0.4600138435733019734 logp*logq = 22.89861048165176183 -------------- ************************************* p = 31; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9195402630.166125309 -------------- Searches starting with [31,797]-exponents: u = 35, v = 1 n_start has 56 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(31,797) = 0.7725360380556706127 D2(31,797) = 0.02946570291084243060 C1(31,797) = 0.9765012950300470283 C2(31,797) = 1.919530109735130334 C3(31,797) = 3.335862164996850809 C4(31,797) = 6376 Sum = 5015.366316564442251 Averaged sum = 0.5010856545673336248 logp*logq = 22.94196948199032021 -------------- ************************************* p = 31; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9679613453.852872228 -------------- Searches starting with [31,809]-exponents: u = 37, v = 1 n_start has 59 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(31,809) = 0.9493806214397192773 D2(31,809) = 0.005986554509364661214 C1(31,809) = 1.269095325455941869 C2(31,809) = 1.873274350756635206 C3(31,809) = 4.786076001079980419 C4(31,809) = 6472 Sum = 4938.891068613026081 Averaged sum = 0.4934450063555825838 logp*logq = 22.99328780498435949 -------------- ************************************* p = 31; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9762035686.350476052 -------------- Searches starting with [31,811]-exponents: u = 39, v = 1 n_start has 62 digits starting right neighbors generation We generated 172 left neighbors We generated 9838 right neighbors We generated 10009 non-negative rho_i D1(31,811) = 0.7264248975020316830 D2(31,811) = 0.06568775897919690418 C1(31,811) = 0.9034506614575632128 C2(31,811) = 1.909712412624440103 C3(31,811) = 3.048369903231102902 C4(31,811) = 6488 Sum = 4617.822951550057608 Averaged sum = 0.4613670647966887409 logp*logq = 23.00176679004394711 -------------- ************************************* p = 31; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10181625317.79559742 -------------- Searches starting with [31,821]-exponents: u = 41, v = 1 n_start has 65 digits starting right neighbors generation We generated 181 left neighbors We generated 9829 right neighbors We generated 10009 non-negative rho_i D1(31,821) = 0.7364523673647746673 D2(31,821) = 0.04072294383624455693 C1(31,821) = 0.9059222425836668815 C2(31,821) = 1.865411535732782262 C3(31,821) = 3.057679313291487528 C4(31,821) = 6568 Sum = 4620.074732513528313 Averaged sum = 0.4615920404149793499 logp*logq = 23.04385049326151506 -------------- ************************************* p = 31; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10267051254.33732704 -------------- Searches starting with [31,823]-exponents: u = 43, v = 1 n_start has 68 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(31,823) = 0.7478112742632216357 D2(31,823) = 0.02108106600616377428 C1(31,823) = 0.9931029949123519134 C2(31,823) = 1.846274737726893400 C3(31,823) = 3.404891414851317741 C4(31,823) = 6584 Sum = 4138.075295701102495 Averaged sum = 0.4134354376762016680 logp*logq = 23.05220569739427937 -------------- ************************************* p = 31; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10439425247.26632394 -------------- Searches starting with [31,827]-exponents: u = 43, v = 1 n_start has 68 digits starting right neighbors generation We generated 190 left neighbors We generated 9820 right neighbors We generated 10009 non-negative rho_i D1(31,827) = 0.7750095705332378852 D2(31,827) = 0.04906640118169865430 C1(31,827) = 1.026195159944580666 C2(31,827) = 1.854997350860097434 C3(31,827) = 3.546777988231380209 C4(31,827) = 6616 Sum = 4590.847140488144038 Averaged sum = 0.4586719093304170284 logp*logq = 23.06885536494159618 -------------- ************************************* p = 31; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10526376839.43787900 -------------- Searches starting with [31,829]-exponents: u = 45, v = 1 n_start has 71 digits starting right neighbors generation We generated 238 left neighbors We generated 9772 right neighbors We generated 10009 non-negative rho_i D1(31,829) = 0.8166112452923782896 D2(31,829) = 0.02827156823658198817 C1(31,829) = 1.010206864742469700 C2(31,829) = 1.834698372419434568 C3(31,829) = 3.477502870615430411 C4(31,829) = 6632 Sum = 4631.128306025819241 Averaged sum = 0.4626964038391267100 logp*logq = 23.07715002405778741 -------------- ************************************* p = 31; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10968851640.13039976 -------------- Searches starting with [31,839]-exponents: u = 49, v = 1 n_start has 77 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(31,839) = 0.6608499807681160529 D2(31,839) = 0.04708145886580118328 C1(31,839) = 0.8237834446063546420 C2(31,839) = 1.819553406423414368 C3(31,839) = 2.763007578488420894 C4(31,839) = 6712 Sum = 4618.672000584144397 Averaged sum = 0.4614518933543954837 logp*logq = 23.11832542390629281 -------------- ************************************* p = 31; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11610247290.72464974 -------------- Searches starting with [31,853]-exponents: u = 55, v = 1 n_start has 85 digits starting right neighbors generation We generated 340 left neighbors We generated 9670 right neighbors We generated 10009 non-negative rho_i D1(31,853) = 0.7106914702552210506 D2(31,853) = 0.0004355268987619430903 C1(31,853) = 0.9275626956667972360 C2(31,853) = 1.744324760910724909 C3(31,853) = 3.140413683982908421 C4(31,853) = 6824 Sum = 4711.318820440580437 Averaged sum = 0.4707082446238965368 logp*logq = 23.17515393223339175 -------------- ************************************* p = 31; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11798277683.61825580 -------------- Searches starting with [31,857]-exponents: u = 57, v = 1 n_start has 88 digits starting right neighbors generation We generated 353 left neighbors We generated 9657 right neighbors We generated 10009 non-negative rho_i D1(31,857) = 1.160027644067419454 D2(31,857) = 0.003160985294394224724 C1(31,857) = 1.511012849702009396 C2(31,857) = 1.733427901861241382 C3(31,857) = 6.450578713942160962 C4(31,857) = 6856 Sum = 6265.397178652424772 Averaged sum = 0.6259763391599984785 logp*logq = 23.19121939874957447 -------------- ************************************* p = 31; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11893097592.70319217 -------------- Searches starting with [31,859]-exponents: u = 59, v = 1 n_start has 91 digits starting right neighbors generation We generated 366 left neighbors We generated 9644 right neighbors We generated 10009 non-negative rho_i D1(31,859) = 0.6213998349924397442 D2(31,859) = 0.02584936497109723993 C1(31,859) = 0.7815326792873318701 C2(31,859) = 1.742842801673367317 C3(31,859) = 2.622673162233681703 C4(31,859) = 6872 Sum = 4915.676913093398340 Averaged sum = 0.4911256781989607693 logp*logq = 23.19922403455234317 -------------- ************************************* p = 31; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12084355827.35619875 -------------- Searches starting with [31,863]-exponents: u = 61, v = 1 n_start has 94 digits starting right neighbors generation We generated 379 left neighbors We generated 9631 right neighbors We generated 10009 non-negative rho_i D1(31,863) = 0.8990302483438224025 D2(31,863) = 0.02212420846781818764 C1(31,863) = 1.166741367436995068 C2(31,863) = 1.727025773992684676 C3(31,863) = 4.218309838930880755 C4(31,863) = 6904 Sum = 5413.530222689800902 Averaged sum = 0.5408662426505945551 logp*logq = 23.21517754619389427 -------------- ************************************* p = 31; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12770942408.66250112 -------------- Searches starting with [31,877]-exponents: u = 73, v = 1 n_start has 112 digits starting right neighbors generation We generated 581 left neighbors We generated 9429 right neighbors We generated 10009 non-negative rho_i D1(31,877) = 0.7759083901383984341 D2(31,877) = 0.001196514420979716958 C1(31,877) = 0.9674662481310949920 C2(31,877) = 1.663328240859462831 C3(31,877) = 3.298884660698605149 C4(31,877) = 7016 Sum = 5014.842938371896197 Averaged sum = 0.5010333638097608350 logp*logq = 23.27043830291019909 -------------- ************************************* p = 31; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12972079063.92950308 -------------- Searches starting with [31,881]-exponents: u = 77, v = 1 n_start has 118 digits starting right neighbors generation We generated 615 left neighbors We generated 9395 right neighbors We generated 10009 non-negative rho_i D1(31,881) = 1.029614388214055566 D2(31,881) = 0.01533647404517579630 C1(31,881) = 1.281157790214388763 C2(31,881) = 1.658419728044822656 C3(31,881) = 4.857833700097671897 C4(31,881) = 7048 Sum = 5159.599002710224098 Averaged sum = 0.5154959539125011587 logp*logq = 23.28606512034126360 -------------- ************************************* p = 31; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13073484640.90488106 -------------- Searches starting with [31,883]-exponents: u = 79, v = 1 n_start has 121 digits starting right neighbors generation We generated 632 left neighbors We generated 9378 right neighbors We generated 10009 non-negative rho_i D1(31,883) = 0.7084359754715587171 D2(31,883) = 0.01992983099976218790 C1(31,883) = 0.8806494022617610047 C2(31,883) = 1.654108517907930618 C3(31,883) = 2.963812878001494207 C4(31,883) = 7064 Sum = 4979.674906148139040 Averaged sum = 0.4975197228642360915 logp*logq = 23.29385194273563651 -------------- ************************************* p = 31; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13277979393.04358980 -------------- Searches starting with [31,887]-exponents: u = 83, v = 1 n_start has 127 digits starting right neighbors generation We generated 666 left neighbors We generated 9344 right neighbors We generated 10009 non-negative rho_i D1(31,887) = 0.7844573473365453307 D2(31,887) = 0.02402564742905199057 C1(31,887) = 1.002302706197122483 C2(31,887) = 1.641489179737264102 C3(31,887) = 3.443756687088509170 C4(31,887) = 7096 Sum = 5278.686884997430078 Averaged sum = 0.5273940338692606732 logp*logq = 23.30937281527979985 -------------- ************************************* p = 31; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14334600032.34170590 -------------- Searches starting with [31,907]-exponents: u = 117, v = 1 n_start has 178 digits starting right neighbors generation We generated 1355 left neighbors We generated 8655 right neighbors We generated 10009 non-negative rho_i D1(31,907) = 0.6359991993658972028 D2(31,907) = 0.01232557082268921999 C1(31,907) = 0.7796069715815391404 C2(31,907) = 1.545522590264722424 C3(31,907) = 2.616449642531629243 C4(31,907) = 7256 Sum = 4519.073205980377085 Averaged sum = 0.4515009697252849520 logp*logq = 23.38594203441650247 -------------- ************************************* p = 31; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14552856198.56244812 -------------- Searches starting with [31,911]-exponents: u = 127, v = 1 n_start has 193 digits starting right neighbors generation We generated 1585 left neighbors We generated 8425 right neighbors We generated 10009 non-negative rho_i D1(31,911) = 0.6968493600181143964 D2(31,911) = 0.01304266167756735229 C1(31,911) = 0.8743235979287492540 C2(31,911) = 1.526110637158221333 C3(31,911) = 2.940772463889462028 C4(31,911) = 7288 Sum = 4564.643909932555743 Averaged sum = 0.4560539424450550248 logp*logq = 23.40105311360583344 -------------- ************************************* p = 31; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14996418407.58972180 -------------- Searches starting with [31,919]-exponents: u = 151, v = 1 n_start has 229 digits starting right neighbors generation We generated 2161 left neighbors We generated 7849 right neighbors We generated 10009 non-negative rho_i D1(31,919) = 0.7912948145176474459 D2(31,919) = 0.01000742503725866383 C1(31,919) = 0.9853615050892223474 C2(31,919) = 1.480559517403212573 C3(31,919) = 3.372526620909471230 C4(31,919) = 7352 Sum = 5324.172061382871736 Averaged sum = 0.5319384615229165486 logp*logq = 23.43107723671049931 -------------- ************************************* p = 31; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15564242350.14673593 -------------- Searches starting with [31,929]-exponents: u = 201, v = 1 n_start has 303 digits starting right neighbors generation We generated 3944 left neighbors We generated 6066 right neighbors We generated 10009 non-negative rho_i D1(31,929) = 0.6569118388333097827 D2(31,929) = 0.0007219576862655989108 C1(31,929) = 0.8097310007622405681 C2(31,929) = 1.410799690928553957 C3(31,929) = 2.715518684489945670 C4(31,929) = 7432 Sum = 5116.021650485659308 Averaged sum = 0.5111421371251532928 logp*logq = 23.46824196314684180 -------------- ************************************* p = 31; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16029343296.14418404 -------------- Searches starting with [31,937]-exponents: u = 269, v = 1 n_start has 405 digits --- performed 5000 steps in the continued fraction search [31,937]-exponents: u = 193, v = 19 --- starting right neighbors generation We generated 6750 left neighbors We generated 3260 right neighbors We generated 10009 non-negative rho_i D1(31,937) = 0.7579334622802353291 D2(31,937) = 0.004841522211373673011 C1(31,937) = 0.9248489187177756932 C2(31,937) = 1.352957591883441658 C3(31,937) = 3.129917014652456809 C4(31,937) = 7496 Sum = 5429.329935384575343 Averaged sum = 0.5424447932245554344 logp*logq = 23.49768683555116438 -------------- ************************************* p = 31; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16265548697.67405509 -------------- Searches starting with [31,941]-exponents: u = 325, v = 1 n_start has 488 digits --- performed 5000 steps in the continued fraction search [31,941]-exponents: u = 185, v = 55 --- starting right neighbors generation We generated 9898 left neighbors We generated 112 right neighbors We generated 10009 non-negative rho_i D1(31,941) = 0.7312387773338065953 D2(31,941) = 0.004222057354292502736 C1(31,941) = 0.8872160700399031663 C2(31,941) = 1.316526873638664389 C3(31,941) = 2.987921564043023475 C4(31,941) = 7528 Sum = 5546.544420728529851 Averaged sum = 0.5541557019411059897 logp*logq = 23.51231513117354829 -------------- ************************************* p = 31; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16624467526.77339565 -------------- Searches starting with [31,947]-exponents: u = 465, v = 1 n_start has 697 digits --- performed 5000 steps in the continued fraction search [31,947]-exponents: u = 435, v = 5 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,947) = 0.5789258269368789611 D2(31,947) = 0.1324798398881460063 C1(31,947) = 0.6970650493039316750 C2(31,947) = 1.358922514687065163 C3(31,947) = 2.363124093570723410 C4(31,947) = 7576 Sum = 5734.030498775670434 Averaged sum = 0.5734603959171587592 logp*logq = 23.53414139451064861 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,947) = 0.5789258269368789611 D2(31,947) = 0.1324798398881460063 C1(31,947) = 0.6970650493039316750 C2(31,947) = 1.358922514687065163 C3(31,947) = 2.363124093570723410 C4(31,947) = 7576 Sum = 5734.030498775670434 Averaged sum = 0.5734603959171587592 logp*logq = 23.53414139451064861 -------------- ************************************* p = 31; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16988964222.86775302 -------------- Searches starting with [31,953]-exponents: u = 819, v = 1 n_start has 1225 digits --- performed 5000 steps in the continued fraction search [31,953]-exponents: u = 567, v = 121 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,953) = 0.6319596897619549991 D2(31,953) = 0.2864600608220775190 C1(31,953) = 0.7481870037898821183 C2(31,953) = 1.415723287750304509 C3(31,953) = 2.516967474850893331 C4(31,953) = 7624 Sum = 6023.076980059102968 Averaged sum = 0.6023679347993902358 logp*logq = 23.55582980684413931 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,953) = 0.6319596897619549991 D2(31,953) = 0.2864600608220775190 C1(31,953) = 0.7481870037898821183 C2(31,953) = 1.415723287750304509 C3(31,953) = 2.516967474850893331 C4(31,953) = 7624 Sum = 6023.076980059102968 Averaged sum = 0.6023679347993902358 logp*logq = 23.55582980684413931 -------------- ************************************* p = 31; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17861433538.32907378 -------------- Searches starting with [31,967]-exponents: u = 2, v = 551 n_start has 1648 digits --- performed 5000 steps in the continued fraction search [31,967]-exponents: u = 113, v = 491 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,967) = 0.6551323108282511260 D2(31,967) = 0.3508231233757839220 C1(31,967) = 0.7705013726008692241 C2(31,967) = 1.439305187334102804 C3(31,967) = 2.587221506368987585 C4(31,967) = 7736 Sum = 6162.114660613060793 Averaged sum = 0.6162730933706431436 logp*logq = 23.60590967447765649 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,967) = 0.6551323108282511260 D2(31,967) = 0.3508231233757839220 C1(31,967) = 0.7705013726008692241 C2(31,967) = 1.439305187334102804 C3(31,967) = 2.587221506368987585 C4(31,967) = 7736 Sum = 6162.114660613060793 Averaged sum = 0.6162730933706431436 logp*logq = 23.60590967447765649 -------------- ************************************* p = 31; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18116429675.73736854 -------------- Searches starting with [31,971]-exponents: u = 2, v = 331 n_start has 992 digits --- performed 5000 steps in the continued fraction search [31,971]-exponents: u = 167, v = 241 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,971) = 0.6332149065194245243 D2(31,971) = 0.2346500786108692966 C1(31,971) = 0.7534609638111862663 C2(31,971) = 1.399683477518754802 C3(31,971) = 2.533397771902550809 C4(31,971) = 7768 Sum = 5913.544450887998654 Averaged sum = 0.5914135864474446098 logp*logq = 23.62008508038391575 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,971) = 0.6332149065194245243 D2(31,971) = 0.2346500786108692966 C1(31,971) = 0.7534609638111862663 C2(31,971) = 1.399683477518754802 C3(31,971) = 2.533397771902550809 C4(31,971) = 7768 Sum = 5913.544450887998654 Averaged sum = 0.5914135864474446098 logp*logq = 23.62008508038391575 -------------- ************************************* p = 31; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18503746694.70731972 -------------- Searches starting with [31,977]-exponents: u = 2, v = 207 n_start has 622 digits --- performed 5000 steps in the continued fraction search [31,977]-exponents: u = 328, v = 32 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,977) = 0.5738679146862713739 D2(31,977) = 0.09422961225784251839 C1(31,977) = 0.6938111411318813012 C2(31,977) = 1.349421788666860722 C3(31,977) = 2.353656541234448279 C4(31,977) = 7816 Sum = 5667.366180924361508 Averaged sum = 0.5667932974221783687 logp*logq = 23.64123907256369925 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(31,977) = 0.5738679146862713739 D2(31,977) = 0.09422961225784251839 C1(31,977) = 0.6938111411318813012 C2(31,977) = 1.349421788666860722 C3(31,977) = 2.353656541234448279 C4(31,977) = 7816 Sum = 5667.366180924361508 Averaged sum = 0.5667932974221783687 logp*logq = 23.64123907256369925 -------------- ************************************* p = 31; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18896896698.69253033 -------------- Searches starting with [31,983]-exponents: u = 2, v = 151 n_start has 455 digits --- performed 5000 steps in the continued fraction search [31,983]-exponents: u = 7, v = 131 --- starting right neighbors generation We generated 8402 left neighbors We generated 1608 right neighbors We generated 10009 non-negative rho_i D1(31,983) = 0.7239563469238626019 D2(31,983) = 0.006177050933000753744 C1(31,983) = 0.8800948466124180589 C2(31,983) = 1.337389338567869969 C3(31,983) = 2.961785826980578710 C4(31,983) = 7864 Sum = 5489.214999993722331 Averaged sum = 0.5484279148759838476 logp*logq = 23.66226354969402168 -------------- ************************************* p = 31; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19430259158.07977573 -------------- Searches starting with [31,991]-exponents: u = 2, v = 111 n_start has 336 digits starting right neighbors generation We generated 4578 left neighbors We generated 5432 right neighbors We generated 10009 non-negative rho_i D1(31,991) = 0.7092639765582452858 D2(31,991) = 0.008113568328046215632 C1(31,991) = 0.8708257151678052934 C2(31,991) = 1.402960526220992588 C3(31,991) = 2.928109153533767869 C4(31,991) = 7928 Sum = 5322.546425524615035 Averaged sum = 0.5317760441127600195 logp*logq = 23.69009743828488293 -------------- ************************************* p = 31; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19837219726.05549793 -------------- Searches starting with [31,997]-exponents: u = 2, v = 93 n_start has 282 digits starting right neighbors generation We generated 3324 left neighbors We generated 6686 right neighbors We generated 10009 non-negative rho_i D1(31,997) = 0.6616169962300219296 D2(31,997) = 0.005607424202944959667 C1(31,997) = 0.8176555871838582644 C2(31,997) = 1.441629058775969895 C3(31,997) = 2.742197801050393454 C4(31,997) = 7976 Sum = 5018.276037104912265 Averaged sum = 0.5013763649820074198 logp*logq = 23.71082579420791431 -------------- ************************************* p = 37; q = 41; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 666239.1009691094407 -------------- Searches starting with [37,41]-exponents: u = 1, v = 35 n_start has 59 digits starting right neighbors generation We generated 267 left neighbors We generated 9743 right neighbors We generated 10009 non-negative rho_i D1(37,41) = 0.8232641396713570573 D2(37,41) = 0.02609922333009322596 C1(37,41) = 1.118248147654303643 C2(37,41) = 1.264110444776633475 C3(37,41) = 4.202956216349029989 C4(37,41) = 328 Sum = 4779.551875838530978 Averaged sum = 0.4775254147106135456 logp*logq = 13.40940389555781776 -------------- ************************************* p = 37; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 791262.3581213964632 -------------- Searches starting with [37,43]-exponents: u = 1, v = 24 n_start has 41 digits starting right neighbors generation We generated 140 left neighbors We generated 9870 right neighbors We generated 10009 non-negative rho_i D1(37,43) = 1.217859904820484603 D2(37,43) = 0.04263860583023534211 C1(37,43) = 1.703653157576896137 C2(37,43) = 1.394491800289434108 C3(37,43) = 8.912242841323058729 C4(37,43) = 344 Sum = 3074.664785493779163 Averaged sum = 0.3071900075425895857 logp*logq = 13.58138487079741391 -------------- ************************************* p = 37; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1090958.189888673008 -------------- Searches starting with [37,47]-exponents: u = 1, v = 15 n_start has 27 digits starting right neighbors generation We generated 61 left neighbors We generated 9949 right neighbors We generated 10009 non-negative rho_i D1(37,47) = 0.9329515167321053358 D2(37,47) = 0.1099868589894014297 C1(37,47) = 1.365053978162733910 C2(37,47) = 1.625319582168472043 C3(37,47) = 5.770030975147844032 C4(37,47) = 376 Sum = 5186.478492909539694 Averaged sum = 0.5181814859535957332 logp*logq = 13.90256694133905158 -------------- ************************************* p = 37; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1683521.332586224297 -------------- Searches starting with [37,53]-exponents: u = 1, v = 10 n_start has 19 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(37,53) = 1.101619743676082826 D2(37,53) = 0.1247218980294577141 C1(37,53) = 1.691592591454050801 C2(37,53) = 1.024767187809743091 C3(37,53) = 8.775297069925011333 C4(37,53) = 424 Sum = 5185.661010612470242 Averaged sum = 0.5180998112311389991 logp*logq = 14.33639818907187138 -------------- ************************************* p = 37; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2479712.033008186103 -------------- Searches starting with [37,59]-exponents: u = 1, v = 7 n_start has 14 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(37,59) = 0.7908863739735425888 D2(37,59) = 0.1307230679381918365 C1(37,59) = 1.076503433236009360 C2(37,59) = 1.678899978100983216 C3(37,59) = 3.983614254329630535 C4(37,59) = 472 Sum = 5043.073066579868151 Averaged sum = 0.5038538382036035719 logp*logq = 14.72365299567670690 -------------- ************************************* p = 37; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2796916.372573292397 -------------- Searches starting with [37,61]-exponents: u = 1, v = 7 n_start has 15 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(37,61) = 1.215094366491051870 D2(37,61) = 0.05342645640998541339 C1(37,61) = 1.577574137578804550 C2(37,61) = 1.984644051750635791 C3(37,61) = 7.580243019412529322 C4(37,61) = 488 Sum = 6074.404470810545386 Averaged sum = 0.6068942422630178225 logp*logq = 14.84402807276439009 -------------- ************************************* p = 37; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3924697.736882589583 -------------- Searches starting with [37,67]-exponents: u = 1, v = 6 n_start has 13 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(37,67) = 0.9314611362299424882 D2(37,67) = 0.03446186605713091153 C1(37,67) = 1.546667690598054704 C2(37,67) = 2.097783863760255860 C3(37,67) = 7.285328679887134366 C4(37,67) = 536 Sum = 4759.229079229631617 Averaged sum = 0.4754949624567520848 logp*logq = 15.18279989652180364 -------------- ************************************* p = 37; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4838847.467935335961 -------------- Searches starting with [37,71]-exponents: u = 7, v = 5 n_start has 21 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(37,71) = 0.7592592845873615440 D2(37,71) = 0.02312675123072737015 C1(37,71) = 1.139494940050074971 C2(37,71) = 1.757719880776708867 C3(37,71) = 4.319191418050946217 C4(37,71) = 568 Sum = 5380.714258927973070 Averaged sum = 0.5375875970554474044 logp*logq = 15.39218712387656599 -------------- ************************************* p = 37; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5349410.091470761978 -------------- Searches starting with [37,73]-exponents: u = 19, v = 5 n_start has 40 digits starting right neighbors generation We generated 195 left neighbors We generated 9815 right neighbors We generated 10009 non-negative rho_i D1(37,73) = 0.7570447190991048701 D2(37,73) = 0.006222168106178052934 C1(37,73) = 1.087164197090952912 C2(37,73) = 1.452794381457849045 C3(37,73) = 4.038516926210760452 C4(37,73) = 584 Sum = 4986.788721221570605 Averaged sum = 0.4982304647039235293 logp*logq = 15.49249684951625423 -------------- ************************************* p = 37; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7115012.304207225792 -------------- Searches starting with [37,79]-exponents: u = 6, v = 19 n_start has 46 digits starting right neighbors generation We generated 262 left neighbors We generated 9748 right neighbors We generated 10009 non-negative rho_i D1(37,79) = 0.7781416348218091387 D2(37,79) = 0.05430064852530796227 C1(37,79) = 1.096823640571814079 C2(37,79) = 1.466086183760523323 C3(37,79) = 4.088915948128554274 C4(37,79) = 632 Sum = 5162.977738869131948 Averaged sum = 0.5158335237155691825 logp*logq = 15.77771751883800642 -------------- ************************************* p = 37; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8504199.887240685919 -------------- Searches starting with [37,83]-exponents: u = 11, v = 4 n_start has 25 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(37,83) = 0.8098044446483382363 D2(37,83) = 0.1336303004462317538 C1(37,83) = 1.243417269115988366 C2(37,83) = 1.255521066111944340 C3(37,83) = 4.935729755678783524 C4(37,83) = 664 Sum = 5334.618505145239965 Averaged sum = 0.5329821665646158422 logp*logq = 15.95607070381242743 -------------- ************************************* p = 37; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10941762.74944258912 -------------- Searches starting with [37,89]-exponents: u = 41, v = 4 n_start has 73 digits starting right neighbors generation We generated 802 left neighbors We generated 9208 right neighbors We generated 10009 non-negative rho_i D1(37,89) = 0.7383883770287169089 D2(37,89) = 0.007422403868033383041 C1(37,89) = 0.9860209804186712011 C2(37,89) = 1.566037686454730995 C3(37,89) = 3.546685407789084976 C4(37,89) = 712 Sum = 5031.611355247414182 Averaged sum = 0.5027086976968142853 logp*logq = 16.20809747081212766 -------------- ************************************* p = 37; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14930338.13746394776 -------------- Searches starting with [37,97]-exponents: u = 5, v = 11 n_start has 30 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(37,97) = 1.021444505269185322 D2(37,97) = 0.1212453533344202881 C1(37,97) = 1.466859047330025172 C2(37,97) = 1.745191985901925252 C3(37,97) = 6.575767425737836148 C4(37,97) = 776 Sum = 4441.543197716859737 Averaged sum = 0.4437549403253931199 logp*logq = 16.51890581744805262 -------------- ************************************* p = 37; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17275870.95241146686 -------------- Searches starting with [37,101]-exponents: u = 5, v = 7 n_start has 22 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(37,101) = 0.8771242476905581803 D2(37,101) = 0.05336190969735961910 C1(37,101) = 1.086638045055940038 C2(37,101) = 1.842938160055395636 C3(37,101) = 4.035789590191586020 C4(37,101) = 808 Sum = 4771.580848867652869 Averaged sum = 0.4767290287608804944 logp*logq = 16.66482134327397486 -------------- ************************************* p = 37; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18543426.61518450492 -------------- Searches starting with [37,103]-exponents: u = 5, v = 7 n_start has 22 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(37,103) = 0.8247886770922324236 D2(37,103) = 0.08283320198604110743 C1(37,103) = 1.307132038890480645 C2(37,103) = 1.258444740808620030 C3(37,103) = 5.356484479860917237 C4(37,103) = 824 Sum = 5408.614069350499586 Averaged sum = 0.5403750693726146054 logp*logq = 16.73562592384983468 -------------- ************************************* p = 37; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21278364.02757370369 -------------- Searches starting with [37,107]-exponents: u = 9, v = 3 n_start has 21 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(37,107) = 1.408673155290563786 D2(37,107) = 0.03189548347851329518 C1(37,107) = 1.993815009377725219 C2(37,107) = 1.885031622758218472 C3(37,107) = 12.93559386314057658 C4(37,107) = 856 Sum = 4334.821154395142251 Averaged sum = 0.4330923323404078580 logp*logq = 16.87320134107893044 -------------- ************************************* p = 37; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22749918.07797828289 -------------- Searches starting with [37,109]-exponents: u = 9, v = 3 n_start has 21 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(37,109) = 1.283315178768456395 D2(37,109) = 0.1411472720955646306 C1(37,109) = 1.606022910924995426 C2(37,109) = 1.203094220425234286 C3(37,109) = 7.862246689382506184 C4(37,109) = 872 Sum = 5587.564235277289374 Averaged sum = 0.5582539949322898765 logp*logq = 16.94007210238676246 -------------- ************************************* p = 37; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25911808.63465786611 -------------- Searches starting with [37,113]-exponents: u = 17, v = 3 n_start has 33 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10009 non-negative rho_i D1(37,113) = 0.6995507279307399491 D2(37,113) = 0.05305727550259769165 C1(37,113) = 0.9095733327713166961 C2(37,113) = 1.769248394735014224 C3(37,113) = 3.215097243651607216 C4(37,113) = 904 Sum = 5131.917741616952582 Averaged sum = 0.5127303168765064024 logp*logq = 17.07020935460449813 -------------- ************************************* p = 37; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39505952.81497360434 -------------- Searches starting with [37,127]-exponents: u = 4, v = 38 n_start has 87 digits starting right neighbors generation We generated 845 left neighbors We generated 9165 right neighbors We generated 10009 non-negative rho_i D1(37,127) = 0.8481009651055873094 D2(37,127) = 0.03599938991339627557 C1(37,127) = 1.119835150670683000 C2(37,127) = 1.488825348623953043 C3(37,127) = 4.211529108048945818 C4(37,127) = 1016 Sum = 5440.863475476020602 Averaged sum = 0.5435971101484684386 logp*logq = 17.49196192269316361 -------------- ************************************* p = 37; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44186830.14030309605 -------------- Searches starting with [37,131]-exponents: u = 4, v = 17 n_start has 43 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(37,131) = 1.023629250638874831 D2(37,131) = 0.07946266542688984341 C1(37,131) = 1.422405380350627712 C2(37,131) = 1.694228200232579954 C3(37,131) = 6.210953770683399838 C4(37,131) = 1048 Sum = 4859.561431406260559 Averaged sum = 0.4855191758823319571 logp*logq = 17.60393734202221258 -------------- ************************************* p = 37; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51942466.72770278097 -------------- Searches starting with [37,137]-exponents: u = 4, v = 11 n_start has 30 digits starting right neighbors generation We generated 114 left neighbors We generated 9896 right neighbors We generated 10009 non-negative rho_i D1(37,137) = 0.7987440323267509632 D2(37,137) = 0.008795325985801471890 C1(37,137) = 1.017350074456077123 C2(37,137) = 1.844611935971395347 C3(37,137) = 3.692260403271871666 C4(37,137) = 1096 Sum = 4839.272437373501225 Averaged sum = 0.4834921008465881931 logp*logq = 17.76564725494069167 -------------- ************************************* p = 37; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54733160.83072935871 -------------- Searches starting with [37,139]-exponents: u = 4, v = 8 n_start has 24 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(37,139) = 0.8613523985355869230 D2(37,139) = 0.04899249234880625510 C1(37,139) = 1.159170975056637626 C2(37,139) = 1.887530964499796370 C3(37,139) = 4.429698373242644639 C4(37,139) = 1112 Sum = 4255.292207043967379 Averaged sum = 0.4251465887744996882 logp*logq = 17.81798031461761383 -------------- ************************************* p = 37; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70339167.53371623362 -------------- Searches starting with [37,149]-exponents: u = 18, v = 5 n_start has 40 digits starting right neighbors generation We generated 181 left neighbors We generated 9829 right neighbors We generated 10009 non-negative rho_i D1(37,149) = 0.6919665096684938401 D2(37,149) = 0.06092514726238169508 C1(37,149) = 0.8861774039531678788 C2(37,149) = 1.672165122334427140 C3(37,149) = 3.119953570038454647 C4(37,149) = 1192 Sum = 5135.416147674137273 Averaged sum = 0.5130798429087958111 logp*logq = 18.06883935004835504 -------------- ************************************* p = 37; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73808586.82936710154 -------------- Searches starting with [37,151]-exponents: u = 25, v = 5 n_start has 51 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(37,151) = 1.260787398584226911 D2(37,151) = 0.03811145422398772258 C1(37,151) = 1.592318996106707864 C2(37,151) = 1.558811659214502905 C3(37,151) = 7.725118001432369502 C4(37,151) = 1208 Sum = 5585.999983498450452 Averaged sum = 0.5580977104104756171 logp*logq = 18.11698563550370160 -------------- ************************************* p = 37; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84959781.97648213504 -------------- Searches starting with [37,157]-exponents: u = 7, v = 747 n_start has 1652 digits --- performed 5000 steps in the continued fraction search [37,157]-exponents: u = 475, v = 408 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,157) = 0.6552360217659668996 D2(37,157) = 0.5164405958760650812 C1(37,157) = 0.7762386305230438025 C2(37,157) = 1.383011966030337974 C3(37,157) = 2.709220382753258498 C4(37,157) = 1256 Sum = 6473.654752316730099 Averaged sum = 0.6474302182534983597 logp*logq = 18.25768854926442811 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,157) = 0.6552360217659668996 D2(37,157) = 0.5164405958760650812 C1(37,157) = 0.7762386305230438025 C2(37,157) = 1.383011966030337974 C3(37,157) = 2.709220382753258498 C4(37,157) = 1256 Sum = 6473.654752316730099 Averaged sum = 0.6474302182534983597 logp*logq = 18.25768854926442811 -------------- ************************************* p = 37; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97280959.81261374653 -------------- Searches starting with [37,163]-exponents: u = 7, v = 17 n_start has 49 digits starting right neighbors generation We generated 256 left neighbors We generated 9754 right neighbors We generated 10009 non-negative rho_i D1(37,163) = 0.7739565989369628771 D2(37,163) = 0.02119704295244405476 C1(37,163) = 1.001385984213840104 C2(37,163) = 1.569613281887123593 C3(37,163) = 3.617349446426157069 C4(37,163) = 1304 Sum = 5186.585547849322866 Averaged sum = 0.5181921818212931227 logp*logq = 18.39311384262825336 -------------- ************************************* p = 37; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106180977.8095567759 -------------- Searches starting with [37,167]-exponents: u = 7, v = 7 n_start has 27 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(37,167) = 0.8454116706784970903 D2(37,167) = 0.05129648248853938333 C1(37,167) = 1.228537237193888784 C2(37,167) = 1.869565237839658178 C3(37,167) = 4.842325786728801752 C4(37,167) = 1336 Sum = 4867.796422039941646 Averaged sum = 0.4863419344629774849 logp*logq = 18.48065553405796575 -------------- ************************************* p = 37; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120614845.0120500327 -------------- Searches starting with [37,173]-exponents: u = 7, v = 7 n_start has 27 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(37,173) = 0.9210000622483219339 D2(37,173) = 0.07323509905041977343 C1(37,173) = 1.434789346552749281 C2(37,173) = 1.229052802846928417 C3(37,173) = 6.310500629958216426 C4(37,173) = 1384 Sum = 5140.285497449339184 Averaged sum = 0.5135663400388989094 logp*logq = 18.60811292765094706 -------------- ************************************* p = 37; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136416644.9163089171 -------------- Searches starting with [37,179]-exponents: u = 10, v = 2 n_start has 21 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(37,179) = 0.7920491946632745087 D2(37,179) = 0.01829254189631525938 C1(37,179) = 1.011935155074403346 C2(37,179) = 2.020570882639726341 C3(37,179) = 3.666678807080777499 C4(37,179) = 1432 Sum = 5206.610680495750237 Averaged sum = 0.5201928944445749062 logp*logq = 18.73122432610677717 -------------- ************************************* p = 37; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 142001197.5563780362 -------------- Searches starting with [37,181]-exponents: u = 10, v = 2 n_start has 21 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(37,181) = 0.9444186992009709059 D2(37,181) = 0.1405000727187991817 C1(37,181) = 1.181347029956362149 C2(37,181) = 1.830987906124585487 C3(37,181) = 4.557638909589678030 C4(37,181) = 1448 Sum = 4903.385321139954178 Averaged sum = 0.4898976242521684662 logp*logq = 18.77134604902559308 -------------- ************************************* p = 37; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172434532.9791793422 -------------- Searches starting with [37,191]-exponents: u = 16, v = 2 n_start has 30 digits starting right neighbors generation We generated 91 left neighbors We generated 9919 right neighbors We generated 10009 non-negative rho_i D1(37,191) = 1.982861452110657105 D2(37,191) = 0.01910775187663647928 C1(37,191) = 2.901107549737736483 C2(37,191) = 1.907129141951160319 C3(37,191) = 41.46757842781941294 C4(37,191) = 1528 Sum = 2990.039986278749890 Averaged sum = 0.2987351370045708752 logp*logq = 18.96552820343886191 -------------- ************************************* p = 37; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179044022.9461221305 -------------- Searches starting with [37,193]-exponents: u = 16, v = 2 n_start has 30 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(37,193) = 0.9429206903589924740 D2(37,193) = 0.1575451852483598026 C1(37,193) = 1.188993956359814021 C2(37,193) = 1.954999249969222800 C3(37,193) = 4.602607862286008323 C4(37,193) = 1544 Sum = 5075.642717034821207 Averaged sum = 0.5071078746163274260 logp*logq = 19.00314227181366857 -------------- ************************************* p = 37; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 192809840.7839656027 -------------- Searches starting with [37,197]-exponents: u = 19, v = 2 n_start has 35 digits starting right neighbors generation We generated 108 left neighbors We generated 9902 right neighbors We generated 10009 non-negative rho_i D1(37,197) = 0.6944248161678010326 D2(37,197) = 0.04421929588771147654 C1(37,197) = 0.8751167925358126466 C2(37,197) = 1.846543071170081832 C3(37,197) = 3.075958978147291438 C4(37,197) = 1576 Sum = 5046.116705051891857 Averaged sum = 0.5041579283696564948 logp*logq = 19.07721498024876084 -------------- ************************************* p = 37; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199972258.7584102659 -------------- Searches starting with [37,199]-exponents: u = 19, v = 2 n_start has 35 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(37,199) = 0.9807207981691441963 D2(37,199) = 0.1317990785687253607 C1(37,199) = 1.239827146718888946 C2(37,199) = 1.865491269670228779 C3(37,199) = 4.913030468018290008 C4(37,199) = 1592 Sum = 5082.471114977720785 Averaged sum = 0.5077901004074054135 logp*logq = 19.11368920868376641 -------------- ************************************* p = 37; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247054717.9202055873 -------------- Searches starting with [37,211]-exponents: u = 40, v = 2 n_start has 68 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(37,211) = 1.078413059414000307 D2(37,211) = 0.05105269727820115043 C1(37,211) = 1.391763041907284120 C2(37,211) = 1.621029389212810151 C3(37,211) = 5.971337098777621887 C4(37,211) = 1688 Sum = 5640.708198753687655 Averaged sum = 0.5635636126240071591 logp*logq = 19.32512040009941317 -------------- ************************************* p = 37; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 301672758.3777312747 -------------- Searches starting with [37,223]-exponents: u = 292, v = 2 n_start has 463 digits --- performed 5000 steps in the continued fraction search [37,223]-exponents: u = 51, v = 145 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,223) = 0.6543130758237360436 D2(37,223) = 0.1325687231952181115 C1(37,223) = 0.8023048966617650200 C2(37,223) = 1.238285946300896263 C3(37,223) = 2.801427215985549587 C4(37,223) = 1784 Sum = 5765.046045531002869 Averaged sum = 0.5765622607791782047 logp*logq = 19.52485340630954545 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,223) = 0.6543130758237360436 D2(37,223) = 0.1325687231952181115 C1(37,223) = 0.8023048966617650200 C2(37,223) = 1.238285946300896263 C3(37,223) = 2.801427215985549587 C4(37,223) = 1784 Sum = 5765.046045531002869 Averaged sum = 0.5765622607791782047 logp*logq = 19.52485340630954545 -------------- ************************************* p = 37; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 321674008.0484292271 -------------- Searches starting with [37,227]-exponents: u = 3, v = 209 n_start has 498 digits --- performed 5000 steps in the continued fraction search [37,227]-exponents: u = 208, v = 56 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,227) = 0.6093320580852649398 D2(37,227) = 0.1500168116369296025 C1(37,227) = 0.7454091807268029957 C2(37,227) = 1.242513676435929061 C3(37,227) = 2.604073811960882939 C4(37,227) = 1816 Sum = 5799.775893727622369 Averaged sum = 0.5800355929320554424 logp*logq = 19.58904919332319546 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,227) = 0.6093320580852649398 D2(37,227) = 0.1500168116369296025 C1(37,227) = 0.7454091807268029957 C2(37,227) = 1.242513676435929061 C3(37,227) = 2.604073811960882939 C4(37,227) = 1816 Sum = 5799.775893727622369 Averaged sum = 0.5800355929320554424 logp*logq = 19.58904919332319546 -------------- ************************************* p = 37; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 332026092.2685826736 -------------- Searches starting with [37,229]-exponents: u = 3, v = 103 n_start has 248 digits starting right neighbors generation We generated 5126 left neighbors We generated 4884 right neighbors We generated 10009 non-negative rho_i D1(37,229) = 0.6524955746589001537 D2(37,229) = 0.005163506687485356417 C1(37,229) = 0.8179797826063377042 C2(37,229) = 1.278102831272517889 C3(37,229) = 2.858379813024850362 C4(37,229) = 1832 Sum = 5406.590666083899191 Averaged sum = 0.5401729109885002688 logp*logq = 19.62072411496306815 -------------- ************************************* p = 37; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 353449930.6925701208 -------------- Searches starting with [37,233]-exponents: u = 3, v = 51 n_start has 126 digits starting right neighbors generation We generated 1302 left neighbors We generated 8708 right neighbors We generated 10009 non-negative rho_i D1(37,233) = 0.8034861990750201422 D2(37,233) = 0.01217912849474593085 C1(37,233) = 1.007520574497407252 C2(37,233) = 1.443722371705658499 C3(37,233) = 3.645954298193437705 C4(37,233) = 1864 Sum = 5164.691575891291502 Averaged sum = 0.5160047533111491159 logp*logq = 19.68325239449286066 -------------- ************************************* p = 37; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 387435653.5494520075 -------------- Searches starting with [37,239]-exponents: u = 3, v = 29 n_start has 74 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(37,239) = 0.8907052885637092839 D2(37,239) = 0.01251186446290812857 C1(37,239) = 1.144234834646628360 C2(37,239) = 1.599872085284134622 C3(37,239) = 4.345557494322662661 C4(37,239) = 1912 Sum = 5336.491849003280709 Averaged sum = 0.5331693325010771015 logp*logq = 19.77506033761270575 -------------- ************************************* p = 37; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 399271220.4211959170 -------------- Searches starting with [37,241]-exponents: u = 3, v = 25 n_start has 65 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(37,241) = 0.7390313129043479293 D2(37,241) = 0.02238524248298145139 C1(37,241) = 0.9372338999579748261 C2(37,241) = 1.644585414593173961 C3(37,241) = 3.331333657355006016 C4(37,241) = 1928 Sum = 5004.185728889986265 Averaged sum = 0.4999686011479654576 logp*logq = 19.80515149435751907 -------------- ************************************* p = 37; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 462407453.0515604050 -------------- Searches starting with [37,251]-exponents: u = 3, v = 15 n_start has 41 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(37,251) = 0.6593501891621715721 D2(37,251) = 0.04268649032382331982 C1(37,251) = 0.9191892037313501657 C2(37,251) = 1.812231056312990744 C3(37,251) = 3.255038218582590865 C4(37,251) = 2008 Sum = 4737.180216998535605 Averaged sum = 0.4732920588468913583 logp*logq = 19.95195699338363601 -------------- ************************************* p = 37; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 503582562.3659691393 -------------- Searches starting with [37,257]-exponents: u = 3, v = 13 n_start has 37 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(37,257) = 0.7379109180914819973 D2(37,257) = 0.04138835981057723885 C1(37,257) = 0.9152587406156242226 C2(37,257) = 1.884665569574380978 C3(37,257) = 3.238652835321365769 C4(37,257) = 2056 Sum = 4433.353535620683873 Averaged sum = 0.4429367105225980491 logp*logq = 20.03725823357383227 -------------- ************************************* p = 37; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 547345510.2643247377 -------------- Searches starting with [37,263]-exponents: u = 3, v = 11 n_start has 32 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(37,263) = 0.6420877237093481174 D2(37,263) = 0.1687883475102181168 C1(37,263) = 0.8010148355219217532 C2(37,263) = 2.016002374028436241 C3(37,263) = 2.796790802291889838 C4(37,263) = 2104 Sum = 4834.358583837303817 Averaged sum = 0.4830011573421224715 logp*logq = 20.12059080680343222 -------------- ************************************* p = 37; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 593794309.2765800915 -------------- Searches starting with [37,269]-exponents: u = 3, v = 9 n_start has 27 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(37,269) = 0.6563165190539521359 D2(37,269) = 0.07429323603984648172 C1(37,269) = 0.9017403993375238216 C2(37,269) = 2.016698810369137780 C3(37,269) = 3.182924458246875878 C4(37,269) = 2152 Sum = 4898.017759007338230 Averaged sum = 0.4893613506851172175 logp*logq = 20.20204353667876209 -------------- ************************************* p = 37; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 609891236.9033670744 -------------- Searches starting with [37,271]-exponents: u = 3, v = 9 n_start has 27 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(37,271) = 0.6868284249865229617 D2(37,271) = 0.1061299267550320268 C1(37,271) = 0.9185022822286475187 C2(37,271) = 2.049849839912577553 C3(37,271) = 3.252168602011707938 C4(37,271) = 2168 Sum = 4733.792666177978477 Averaged sum = 0.4729536083702646095 logp*logq = 20.22879119907585346 -------------- ************************************* p = 37; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 660076010.7236547988 -------------- Searches starting with [37,277]-exponents: u = 3, v = 7 n_start has 22 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(37,277) = 0.7559435899646244038 D2(37,277) = 0.1485347622270038734 C1(37,277) = 0.9436639444002760286 C2(37,277) = 1.474330325215937728 C3(37,277) = 3.358950769753745068 C4(37,277) = 2216 Sum = 4976.411576998128645 Averaged sum = 0.4971936833847665746 logp*logq = 20.30786555411656097 -------------- ************************************* p = 37; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 695148377.3539840323 -------------- Searches starting with [37,281]-exponents: u = 3, v = 7 n_start has 22 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(37,281) = 0.7318759350005328235 D2(37,281) = 0.1324915486377399135 C1(37,281) = 0.9412270204462507907 C2(37,281) = 1.889878722590969693 C3(37,281) = 3.348457314119496194 C4(37,281) = 2248 Sum = 4673.200981914073380 Averaged sum = 0.4668998882919445878 logp*logq = 20.35963587333842559 -------------- ************************************* p = 37; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 713180660.8660315337 -------------- Searches starting with [37,283]-exponents: u = 3, v = 7 n_start has 22 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(37,283) = 0.7012443999318608039 D2(37,283) = 0.01808609780120330248 C1(37,283) = 0.8924250762133749749 C2(37,283) = 2.096974391745261900 C3(37,283) = 3.145081783611752132 C4(37,283) = 2264 Sum = 4979.516871868803260 Averaged sum = 0.4975039336465983875 logp*logq = 20.38524532758173221 -------------- ************************************* p = 37; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 808456167.4142750289 -------------- Searches starting with [37,293]-exponents: u = 11, v = 5 n_start has 30 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(37,293) = 0.8612088485876554938 D2(37,293) = 0.07531470038630897613 C1(37,293) = 1.322346353772367796 C2(37,293) = 1.325456854739332049 C3(37,293) = 5.462149980564513741 C4(37,293) = 2344 Sum = 5157.414595616548926 Averaged sum = 0.5152777096229941978 logp*logq = 20.51063702081080709 -------------- ************************************* p = 37; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 956869058.1812470960 -------------- Searches starting with [37,307]-exponents: u = 19, v = 5 n_start has 43 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(37,307) = 0.7301770396098084072 D2(37,307) = 0.03353922504902750078 C1(37,307) = 0.9750561847378293633 C2(37,307) = 1.778600616080665209 C3(37,307) = 3.497103653335187163 C4(37,307) = 2456 Sum = 4466.042878170336401 Averaged sum = 0.4462027053821896693 logp*logq = 20.67917711474884029 -------------- ************************************* p = 37; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1002658732.687424564 -------------- Searches starting with [37,311]-exponents: u = 27, v = 5 n_start has 55 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(37,311) = 0.7519790761046373018 D2(37,311) = 0.01994279836112167190 C1(37,311) = 0.9320686022450505800 C2(37,311) = 1.663467162529451674 C3(37,311) = 3.309313200249978503 C4(37,311) = 2488 Sum = 4443.381668268792627 Averaged sum = 0.4439386220670189456 logp*logq = 20.72592104145635439 -------------- ************************************* p = 37; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1026137951.607922545 -------------- Searches starting with [37,313]-exponents: u = 35, v = 5 n_start has 68 digits starting right neighbors generation We generated 375 left neighbors We generated 9635 right neighbors We generated 10009 non-negative rho_i D1(37,313) = 0.6931006668410912495 D2(37,313) = 0.01368827176375928611 C1(37,313) = 0.9434038466030801337 C2(37,313) = 1.585509602729149387 C3(37,313) = 3.357829216315606116 C4(37,313) = 2504 Sum = 4714.935096193483320 Averaged sum = 0.4710695470270240104 logp*logq = 20.74906803041483276 -------------- ************************************* p = 37; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1074285442.060916472 -------------- Searches starting with [37,317]-exponents: u = 59, v = 5 n_start has 106 digits starting right neighbors generation We generated 696 left neighbors We generated 9314 right neighbors We generated 10009 non-negative rho_i D1(37,317) = 0.6699088752933737211 D2(37,317) = 0.002985636752623487730 C1(37,317) = 1.061884676835264981 C2(37,317) = 1.442175702347015202 C3(37,317) = 3.909539466194085768 C4(37,317) = 2536 Sum = 4780.373497646766451 Averaged sum = 0.4776075030119658758 logp*logq = 20.79492157245207156 -------------- ************************************* p = 37; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1255717768.245613448 -------------- Searches starting with [37,331]-exponents: u = 8, v = 28 n_start has 84 digits starting right neighbors generation We generated 555 left neighbors We generated 9455 right neighbors We generated 10009 non-negative rho_i D1(37,331) = 0.8211283782809582169 D2(37,331) = 0.01767720653918707154 C1(37,331) = 1.022467197517774645 C2(37,331) = 1.533091223718562860 C3(37,331) = 3.716599129084190567 C4(37,331) = 2648 Sum = 4704.035560030280833 Averaged sum = 0.4699805734868898824 logp*logq = 20.95097317293124267 -------------- ************************************* p = 37; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1339874388.090312618 -------------- Searches starting with [37,337]-exponents: u = 8, v = 13 n_start has 46 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(37,337) = 0.7217568107553074977 D2(37,337) = 0.04578579677726072088 C1(37,337) = 0.9101128916112003714 C2(37,337) = 1.780850773545076967 C3(37,337) = 3.217325348078695900 C4(37,337) = 2696 Sum = 4908.735990269542621 Averaged sum = 0.4904322100379201339 logp*logq = 21.01584170628423111 -------------- ************************************* p = 37; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1489090882.601301829 -------------- Searches starting with [37,347]-exponents: u = 8, v = 8 n_start has 33 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(37,347) = 0.7048025432994390237 D2(37,347) = 0.09921863190995382974 C1(37,347) = 0.9107333461040618895 C2(37,347) = 1.990168033665824040 C3(37,347) = 3.219889419320968744 C4(37,347) = 2776 Sum = 4658.009254499597233 Averaged sum = 0.4653820815765408365 logp*logq = 21.12143162478385027 -------------- ************************************* p = 37; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1520316058.937594510 -------------- Searches starting with [37,349]-exponents: u = 8, v = 8 n_start has 33 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(37,349) = 0.7515084036879857629 D2(37,349) = 0.1096864980522330557 C1(37,349) = 0.9871815788284640194 C2(37,349) = 2.001732502566618768 C3(37,349) = 3.551974491470971820 C4(37,349) = 2792 Sum = 4838.450355166468093 Averaged sum = 0.4834099665467547300 logp*logq = 21.14218408370099519 -------------- ************************************* p = 37; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1584182899.827415197 -------------- Searches starting with [37,353]-exponents: u = 8, v = 8 n_start has 33 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(37,353) = 1.190379307631357461 D2(37,353) = 0.07575475788407719994 C1(37,353) = 1.786309656052128399 C2(37,353) = 1.115461907849561870 C3(37,353) = 9.910093027097753930 C4(37,353) = 2824 Sum = 3961.753328744729593 Averaged sum = 0.3958190956883534411 logp*logq = 21.18333459073559921 -------------- ************************************* p = 37; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1683589904.478499117 -------------- Searches starting with [37,359]-exponents: u = 13, v = 3 n_start has 29 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(37,359) = 0.9591098634576411584 D2(37,359) = 0.08979058027600948122 C1(37,359) = 1.194043106903868169 C2(37,359) = 2.075959432673624824 C3(37,359) = 4.632543118296969173 C4(37,359) = 2872 Sum = 4654.427408155526122 Averaged sum = 0.4650242190184360197 logp*logq = 21.24419419845312888 -------------- ************************************* p = 37; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1823050215.487485415 -------------- Searches starting with [37,367]-exponents: u = 13, v = 3 n_start has 29 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(37,367) = 1.163564604122322374 D2(37,367) = 0.02753391638103614174 C1(37,367) = 1.459035355496505977 C2(37,367) = 2.018802919864205086 C3(37,367) = 6.510042384715087418 C4(37,367) = 2936 Sum = 5006.170038584285449 Averaged sum = 0.5001668536901074481 logp*logq = 21.32377687778604860 -------------- ************************************* p = 37; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1932989464.109236079 -------------- Searches starting with [37,373]-exponents: u = 18, v = 3 n_start has 36 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(37,373) = 0.9610277841527718202 D2(37,373) = 0.1442364358013903324 C1(37,373) = 1.293306649037679922 C2(37,373) = 2.007717393840719577 C3(37,373) = 5.262239012419001689 C4(37,373) = 2984 Sum = 4311.705806132966108 Averaged sum = 0.4307828760248742240 logp*logq = 21.38233358661933177 -------------- ************************************* p = 37; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2047644284.657205982 -------------- Searches starting with [37,379]-exponents: u = 23, v = 3 n_start has 44 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(37,379) = 0.7095047733514625263 D2(37,379) = 0.06768062684593462930 C1(37,379) = 0.9211632971146140625 C2(37,379) = 1.934688764601814229 C3(37,379) = 3.263299101552646614 C4(37,379) = 3032 Sum = 4406.579001031921772 Averaged sum = 0.4402616646050476343 logp*logq = 21.43995583990574470 -------------- ************************************* p = 37; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2126761181.729561900 -------------- Searches starting with [37,383]-exponents: u = 28, v = 3 n_start has 52 digits starting right neighbors generation We generated 271 left neighbors We generated 9739 right neighbors We generated 10009 non-negative rho_i D1(37,383) = 0.9779021724022348030 D2(37,383) = 0.02429253249419300087 C1(37,383) = 1.354706547551859142 C2(37,383) = 1.893620891180802854 C3(37,383) = 5.693879016083096542 C4(37,383) = 3064 Sum = 2894.201738255967936 Averaged sum = 0.2891599298886969663 logp*logq = 21.47786608746699035 -------------- ************************************* p = 37; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2249548745.171803928 -------------- Searches starting with [37,389]-exponents: u = 33, v = 3 n_start has 60 digits starting right neighbors generation We generated 324 left neighbors We generated 9686 right neighbors We generated 10009 non-negative rho_i D1(37,389) = 0.8506109186773244076 D2(37,389) = 0.04198638858704326651 C1(37,389) = 1.083412265289416457 C2(37,389) = 1.823430465700285217 C3(37,389) = 4.019108810839647988 C4(37,389) = 3112 Sum = 4994.066857754521236 Averaged sum = 0.4989576239139295869 logp*logq = 21.53399547534693420 -------------- ************************************* p = 37; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2421136037.760576493 -------------- Searches starting with [37,397]-exponents: u = 58, v = 3 n_start has 99 digits starting right neighbors generation We generated 943 left neighbors We generated 9067 right neighbors We generated 10009 non-negative rho_i D1(37,397) = 1.009386530088953600 D2(37,397) = 0.03082388767618713126 C1(37,397) = 1.328566962894668494 C2(37,397) = 1.693975567996521832 C3(37,397) = 5.505951000410471052 C4(37,397) = 3176 Sum = 3912.625984909688548 Averaged sum = 0.3909107787900578028 logp*logq = 21.60750270405503356 -------------- ************************************* p = 37; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2510386809.431045833 -------------- Searches starting with [37,401]-exponents: u = 78, v = 3 n_start has 131 digits starting right neighbors generation We generated 1616 left neighbors We generated 8394 right neighbors We generated 10009 non-negative rho_i D1(37,401) = 0.8434372478207128331 D2(37,401) = 0.01885943405090907617 C1(37,401) = 1.088512396681126249 C2(37,401) = 1.602591228288041811 C3(37,401) = 4.045513802836233404 C4(37,401) = 3208 Sum = 5417.288060204771041 Averaged sum = 0.5412416885008263604 logp*logq = 21.64370268555983306 -------------- ************************************* p = 37; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2695991233.966310950 -------------- Searches starting with [37,409]-exponents: u = 443, v = 3 n_start has 703 digits --- performed 5000 steps in the continued fraction search [37,409]-exponents: u = 169, v = 156 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,409) = 0.6033553945839168810 D2(37,409) = 0.2831442027226263939 C1(37,409) = 0.7304870159617972798 C2(37,409) = 1.391655221972848287 C3(37,409) = 2.554656000685204336 C4(37,409) = 3272 Sum = 5835.895947159273405 Averaged sum = 0.5836479595118785284 logp*logq = 21.71503177849501017 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,409) = 0.6033553945839168810 D2(37,409) = 0.2831442027226263939 C1(37,409) = 0.7304870159617972798 C2(37,409) = 1.391655221972848287 C3(37,409) = 2.554656000685204336 C4(37,409) = 3272 Sum = 5835.895947159273405 Averaged sum = 0.5836479595118785284 logp*logq = 21.71503177849501017 -------------- ************************************* p = 37; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2941708167.648119397 -------------- Searches starting with [37,419]-exponents: u = 5, v = 61 n_start has 168 digits starting right neighbors generation We generated 2744 left neighbors We generated 7266 right neighbors We generated 10009 non-negative rho_i D1(37,419) = 0.9566820750796689668 D2(37,419) = 0.01563361211660584618 C1(37,419) = 1.222271952830839697 C2(37,419) = 1.554178146233791641 C3(37,419) = 4.803528503038568928 C4(37,419) = 3352 Sum = 4667.095677703486999 Averaged sum = 0.4662899068541799380 logp*logq = 21.80225625898050882 -------------- ************************************* p = 37; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2992727867.438893491 -------------- Searches starting with [37,421]-exponents: u = 5, v = 49 n_start has 137 digits starting right neighbors generation We generated 1839 left neighbors We generated 8171 right neighbors We generated 10009 non-negative rho_i D1(37,421) = 0.8910118579987474077 D2(37,421) = 0.01083804827608957982 C1(37,421) = 1.150622420901310443 C2(37,421) = 1.612245147492597640 C3(37,421) = 4.381343776677870061 C4(37,421) = 3368 Sum = 4341.797025997282035 Averaged sum = 0.4337892922367151598 logp*logq = 21.81945113867583976 -------------- ************************************* p = 37; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3257475554.601216117 -------------- Searches starting with [37,431]-exponents: u = 5, v = 25 n_start has 74 digits starting right neighbors generation We generated 500 left neighbors We generated 9510 right neighbors We generated 10009 non-negative rho_i D1(37,431) = 1.023255705072302134 D2(37,431) = 0.05129947152315012843 C1(37,431) = 1.374767514549758488 C2(37,431) = 1.799985444113220846 C3(37,431) = 5.842444339252369160 C4(37,431) = 3448 Sum = 3440.825101079273857 Averaged sum = 0.3437731143050528381 logp*logq = 21.90421836259166794 -------------- ************************************* p = 37; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3312389287.336364054 -------------- Searches starting with [37,433]-exponents: u = 5, v = 22 n_start has 66 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(37,433) = 0.7008710880258624760 D2(37,433) = 0.006727252260996284480 C1(37,433) = 0.8901789194484709290 C2(37,433) = 1.830333501517227219 C3(37,433) = 3.136024497589333673 C4(37,433) = 3464 Sum = 4683.589752691316040 Averaged sum = 0.4679378312210326745 logp*logq = 21.92093560500929221 -------------- ************************************* p = 37; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3481147856.424416061 -------------- Searches starting with [37,439]-exponents: u = 5, v = 16 n_start has 51 digits starting right neighbors generation We generated 203 left neighbors We generated 9807 right neighbors We generated 10009 non-negative rho_i D1(37,439) = 0.6004911631877484555 D2(37,439) = 0.07438867469327591716 C1(37,439) = 0.8229570007962245683 C2(37,439) = 1.900301943416791792 C3(37,439) = 2.876704949629022917 C4(37,439) = 3512 Sum = 4864.866364938232538 Averaged sum = 0.4860491922208245117 logp*logq = 21.97062792014640648 -------------- ************************************* p = 37; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3597051196.261853176 -------------- Searches starting with [37,443]-exponents: u = 5, v = 13 n_start has 43 digits starting right neighbors generation We generated 165 left neighbors We generated 9845 right neighbors We generated 10009 non-negative rho_i D1(37,443) = 1.323108578395838002 D2(37,443) = 0.008149483602903587533 C1(37,443) = 1.838553128023359003 C2(37,443) = 1.936546970270393781 C3(37,443) = 10.59765095717196021 C4(37,443) = 3544 Sum = 5370.343176464556991 Averaged sum = 0.5365514213672251964 logp*logq = 22.00338023460332792 -------------- ************************************* p = 37; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3776102908.908131183 -------------- Searches starting with [37,449]-exponents: u = 5, v = 13 n_start has 43 digits starting right neighbors generation We generated 165 left neighbors We generated 9845 right neighbors We generated 10009 non-negative rho_i D1(37,449) = 0.6843243640355619579 D2(37,449) = 0.05578797141107209785 C1(37,449) = 0.9686367120170554305 C2(37,449) = 1.986564275587306587 C3(37,449) = 3.468397733997159389 C4(37,449) = 3592 Sum = 4501.895249539968981 Averaged sum = 0.4497847187071604536 logp*logq = 22.05195833827676469 -------------- ************************************* p = 37; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4024751333.672670951 -------------- Searches starting with [37,457]-exponents: u = 5, v = 10 n_start has 35 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(37,457) = 0.7013096198333794418 D2(37,457) = 0.1278871002469733698 C1(37,457) = 0.8851579876377473730 C2(37,457) = 2.061785316183382786 C3(37,457) = 3.115872559712449555 C4(37,457) = 3656 Sum = 4699.280351907410863 Averaged sum = 0.4695054802585084287 logp*logq = 22.11572896545445220 -------------- ************************************* p = 37; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4153415558.501383794 -------------- Searches starting with [37,461]-exponents: u = 5, v = 10 n_start has 35 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(37,461) = 0.7137039547008860493 D2(37,461) = 0.1454567686560929849 C1(37,461) = 1.037237996353594085 C2(37,461) = 1.495781306722316729 C3(37,461) = 3.787757601350443953 C4(37,461) = 3688 Sum = 4902.475977382821738 Averaged sum = 0.4898067716438027513 logp*logq = 22.14719685883362924 -------------- ************************************* p = 37; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4218850618.117089486 -------------- Searches starting with [37,463]-exponents: u = 5, v = 10 n_start has 35 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(37,463) = 1.161816611442552365 D2(37,463) = 0.1065489604569074236 C1(37,463) = 1.688356515101154353 C2(37,463) = 1.147703164911437908 C3(37,463) = 8.738911362163596659 C4(37,463) = 3704 Sum = 2759.782795100076067 Averaged sum = 0.2757301223998477437 logp*logq = 22.16282856252104921 -------------- ************************************* p = 37; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4351952419.956584742 -------------- Searches starting with [37,467]-exponents: u = 5, v = 7 n_start has 27 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(37,467) = 0.9722874167152727678 D2(37,467) = 0.001036489080238854907 C1(37,467) = 1.257173888069595690 C2(37,467) = 2.089796146318347731 C3(37,467) = 5.023683911888566337 C4(37,467) = 3736 Sum = 5537.625886543118406 Averaged sum = 0.5532646504688898397 logp*logq = 22.19389041352590022 -------------- ************************************* p = 37; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4769485329.606216172 -------------- Searches starting with [37,479]-exponents: u = 5, v = 7 n_start has 27 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(37,479) = 0.6952431167324512526 D2(37,479) = 0.05557279804149739360 C1(37,479) = 0.8917229385354906891 C2(37,479) = 2.149200397399353025 C3(37,479) = 3.142247713120736617 C4(37,479) = 3832 Sum = 4851.843296731873479 Averaged sum = 0.4847480564224071814 logp*logq = 22.28550423866813503 -------------- ************************************* p = 37; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5063449311.964994584 -------------- Searches starting with [37,487]-exponents: u = 5, v = 7 n_start has 27 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(37,487) = 1.147259151842533787 D2(37,487) = 0.05472726816328174774 C1(37,487) = 1.740125421225213295 C2(37,487) = 1.166382083713784581 C3(37,487) = 9.339520686283809351 C4(37,487) = 3896 Sum = 4304.140662860174108 Averaged sum = 0.4300270419482639732 logp*logq = 22.34531377021252715 -------------- ************************************* p = 37; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5215240783.950462694 -------------- Searches starting with [37,491]-exponents: u = 12, v = 4 n_start has 30 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(37,491) = 0.8329142319176309461 D2(37,491) = 0.07268591252414560947 C1(37,491) = 1.049641013775996956 C2(37,491) = 1.389855960360350070 C3(37,491) = 3.848560511446729439 C4(37,491) = 3928 Sum = 4653.070419805934331 Averaged sum = 0.4648886422026110831 logp*logq = 22.37485109575235219 -------------- ************************************* p = 37; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5528656278.558034381 -------------- Searches starting with [37,499]-exponents: u = 12, v = 4 n_start has 30 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(37,499) = 0.6438696727037314956 D2(37,499) = 0.05740141051861673374 C1(37,499) = 0.8174694829953164849 C2(37,499) = 2.096465451364367315 C3(37,499) = 2.856507600790632960 C4(37,499) = 3992 Sum = 4711.713257506403073 Averaged sum = 0.4707476528630635501 logp*logq = 22.43321063535185856 -------------- ************************************* p = 37; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5690366375.799745296 -------------- Searches starting with [37,503]-exponents: u = 12, v = 4 n_start has 30 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(37,503) = 0.7250318114835395097 D2(37,503) = 0.04426443182399458806 C1(37,503) = 0.9961199798887240317 C2(37,503) = 2.085085868827439842 C3(37,503) = 3.592973781630273336 C4(37,503) = 4024 Sum = 4627.415525889128843 Averaged sum = 0.4623254596752051996 logp*logq = 22.46204047243173137 -------------- ************************************* p = 37; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5939306321.363163634 -------------- Searches starting with [37,509]-exponents: u = 12, v = 4 n_start has 30 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(37,509) = 0.8112897750469699480 D2(37,509) = 0.02543510427222931046 C1(37,509) = 1.026676007874614587 C2(37,509) = 2.068866105522523654 C3(37,509) = 3.736737819879395579 C4(37,509) = 4072 Sum = 5026.671622006825053 Averaged sum = 0.5022151685489884158 logp*logq = 22.50485818258625039 -------------- ************************************* p = 37; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6460676578.638294755 -------------- Searches starting with [37,521]-exponents: u = 19, v = 4 n_start has 41 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(37,521) = 0.6838704035632799311 D2(37,521) = 0.1219066722578962435 C1(37,521) = 0.8663371489582614757 C2(37,521) = 2.004289337909415649 C3(37,521) = 3.041479232291491185 C4(37,521) = 4168 Sum = 4632.535137018627718 Averaged sum = 0.4628369604374690496 logp*logq = 22.58899988279208759 -------------- ************************************* p = 37; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6550680892.523105857 -------------- Searches starting with [37,523]-exponents: u = 26, v = 4 n_start has 52 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(37,523) = 1.015997283767701600 D2(37,523) = 0.1058189290773342372 C1(37,523) = 1.416385025150801718 C2(37,523) = 1.989008510658001341 C3(37,523) = 6.163128753031108170 C4(37,523) = 4184 Sum = 3020.521426998526407 Averaged sum = 0.3017805402136603463 logp*logq = 22.60283483424778983 -------------- ************************************* p = 37; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7402032086.680185907 -------------- Searches starting with [37,541]-exponents: u = 61, v = 4 n_start has 107 digits starting right neighbors generation We generated 1204 left neighbors We generated 8806 right neighbors We generated 10009 non-negative rho_i D1(37,541) = 1.038480822988967826 D2(37,541) = 0.03232612629149538834 C1(37,541) = 1.362832765743805744 C2(37,541) = 1.816537185049721378 C3(37,541) = 5.753598565049515114 C4(37,541) = 4328 Sum = 4043.189978711213218 Averaged sum = 0.4039554379769420740 logp*logq = 22.72502040576725736 -------------- ************************************* p = 37; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7702779772.042049227 -------------- Searches starting with [37,547]-exponents: u = 103, v = 4 n_start has 173 digits starting right neighbors generation We generated 3263 left neighbors We generated 6747 right neighbors We generated 10009 non-negative rho_i D1(37,547) = 0.6462574645482470143 D2(37,547) = 0.004216962050944535816 C1(37,547) = 0.8227881947001673845 C2(37,547) = 1.714765716522325557 C3(37,547) = 2.876081518394950392 C4(37,547) = 4376 Sum = 4999.611139761487029 Averaged sum = 0.4995115535779285672 logp*logq = 22.76484711001396095 -------------- ************************************* p = 37; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8223519181.908153986 -------------- Searches starting with [37,557]-exponents: u = 7, v = 257 n_start has 717 digits --- performed 5000 steps in the continued fraction search [37,557]-exponents: u = 129, v = 176 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,557) = 0.5840470946351025070 D2(37,557) = 0.3122262816117746398 C1(37,557) = 0.7083410267739971266 C2(37,557) = 1.459669544366352046 C3(37,557) = 2.483038391423908692 C4(37,557) = 4456 Sum = 5777.089463358507644 Averaged sum = 0.5777667230081515796 logp*logq = 22.83026407871515853 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,557) = 0.5840470946351025070 D2(37,557) = 0.3122262816117746398 C1(37,557) = 0.7083410267739971266 C2(37,557) = 1.459669544366352046 C3(37,557) = 2.483038391423908692 C4(37,557) = 4456 Sum = 5777.089463358507644 Averaged sum = 0.5777667230081515796 logp*logq = 22.83026407871515853 -------------- ************************************* p = 37; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8547911790.489336137 -------------- Searches starting with [37,563]-exponents: u = 7, v = 61 n_start has 179 digits starting right neighbors generation We generated 3434 left neighbors We generated 6576 right neighbors We generated 10009 non-negative rho_i D1(37,563) = 0.6609256805302746792 D2(37,563) = 0.01274992349579633810 C1(37,563) = 0.8400996476095651268 C2(37,563) = 1.695480288483763475 C3(37,563) = 2.940724653279874474 C4(37,563) = 4504 Sum = 5017.691813736060052 Averaged sum = 0.5013179951779458539 logp*logq = 22.86895285503436079 -------------- ************************************* p = 37; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8881457339.200702015 -------------- Searches starting with [37,569]-exponents: u = 7, v = 33 n_start has 102 digits starting right neighbors generation We generated 1121 left neighbors We generated 8889 right neighbors We generated 10009 non-negative rho_i D1(37,569) = 0.7819320422135301187 D2(37,569) = 0.005880748097718562792 C1(37,569) = 1.022439443962652436 C2(37,569) = 1.843892878313826655 C3(37,569) = 3.716466692253531749 C4(37,569) = 4552 Sum = 5010.820631212186723 Averaged sum = 0.5006314947759203440 logp*logq = 22.90723149525998724 -------------- ************************************* p = 37; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8994700393.436980838 -------------- Searches starting with [37,571]-exponents: u = 7, v = 29 n_start has 91 digits starting right neighbors generation We generated 870 left neighbors We generated 9140 right neighbors We generated 10009 non-negative rho_i D1(37,571) = 0.6495111864644750728 D2(37,571) = 0.02008263478681618075 C1(37,571) = 0.8548946103839669926 C2(37,571) = 1.858687697536496970 C3(37,571) = 2.997121121664245717 C4(37,571) = 4568 Sum = 4725.959224405199510 Averaged sum = 0.4721709685688080237 logp*logq = 22.91990139567155394 -------------- ************************************* p = 37; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9340695264.780282523 -------------- Searches starting with [37,577]-exponents: u = 7, v = 21 n_start has 69 digits starting right neighbors generation We generated 452 left neighbors We generated 9558 right neighbors We generated 10009 non-negative rho_i D1(37,577) = 0.6576580353046024618 D2(37,577) = 0.06556476896477394148 C1(37,577) = 0.8498148705738977777 C2(37,577) = 1.905936028269965616 C3(37,577) = 2.977636928365782312 C4(37,577) = 4616 Sum = 4674.962347403487190 Averaged sum = 0.4670758664605342382 logp*logq = 22.95764652590065180 -------------- ************************************* p = 37; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9938593170.632930922 -------------- Searches starting with [37,587]-exponents: u = 7, v = 13 n_start has 47 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(37,587) = 0.6632348883176078864 D2(37,587) = 0.03390047439027236295 C1(37,587) = 0.8348236571362474069 C2(37,587) = 2.006537824721379775 C3(37,587) = 2.920871002582540514 C4(37,587) = 4696 Sum = 4778.517115121847214 Averaged sum = 0.4774220316836694189 logp*logq = 23.01969131546879305 -------------- ************************************* p = 37; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10310337102.10789765 -------------- Searches starting with [37,593]-exponents: u = 7, v = 13 n_start has 48 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(37,593) = 0.9362119561570858257 D2(37,593) = 0.06026532923440818800 C1(37,593) = 1.177748001024530304 C2(37,593) = 2.034759984948398451 C3(37,593) = 4.536626571924530948 C4(37,593) = 4744 Sum = 4760.379556520421805 Averaged sum = 0.4756099067359797986 logp*logq = 23.05641283105646000 -------------- ************************************* p = 37; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10692032348.24289370 -------------- Searches starting with [37,599]-exponents: u = 7, v = 9 n_start has 36 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(37,599) = 1.008948573063384538 D2(37,599) = 0.08812185562068341896 C1(37,599) = 1.268535615825691465 C2(37,599) = 2.064454731723292386 C3(37,599) = 5.097506702673855812 C4(37,599) = 4792 Sum = 4939.224418150148876 Averaged sum = 0.4934783113348135554 logp*logq = 23.09276466068080535 -------------- ************************************* p = 37; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10821503592.18585120 -------------- Searches starting with [37,601]-exponents: u = 7, v = 9 n_start has 36 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(37,601) = 0.6872443153271331473 D2(37,601) = 0.09779050356877531827 C1(37,601) = 0.8784409674781438187 C2(37,601) = 2.074731945551426656 C3(37,601) = 3.089115579734626897 C4(37,601) = 4808 Sum = 4658.862763131227608 Averaged sum = 0.4654673556929990616 logp*logq = 23.10480106486777971 -------------- ************************************* p = 37; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11216720517.60813246 -------------- Searches starting with [37,607]-exponents: u = 7, v = 9 n_start has 37 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(37,607) = 0.6064614182665407041 D2(37,607) = 0.1281390401179420541 C1(37,607) = 0.7891393781646010511 C2(37,607) = 2.106893852555057517 C3(37,607) = 2.754469821304509082 C4(37,607) = 4856 Sum = 4808.491677373253600 Averaged sum = 0.4804167926239637926 logp*logq = 23.14067140533297863 -------------- ************************************* p = 37; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11622269941.05695667 -------------- Searches starting with [37,613]-exponents: u = 7, v = 9 n_start has 37 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(37,613) = 1.149325230015785032 D2(37,613) = 0.09193187570134705861 C1(37,613) = 1.681599111328330856 C2(37,613) = 1.178988266959376013 C3(37,613) = 8.663418356504799982 C4(37,613) = 4904 Sum = 3250.349807857827487 Averaged sum = 0.3247427123446725434 logp*logq = 23.17618891705966582 -------------- ************************************* p = 37; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11898457952.13498310 -------------- Searches starting with [37,617]-exponents: u = 16, v = 5 n_start has 40 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(37,617) = 0.7367154629323385124 D2(37,617) = 0.1279148779353430689 C1(37,617) = 1.077882062433812194 C2(37,617) = 1.503263429535217601 C3(37,617) = 3.990671924433131871 C4(37,617) = 4936 Sum = 4825.505616621327479 Averaged sum = 0.4821166566711287320 logp*logq = 23.19967464481297873 -------------- ************************************* p = 37; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12038316885.59224475 -------------- Searches starting with [37,619]-exponents: u = 16, v = 5 n_start has 40 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(37,619) = 0.7052080639138763421 D2(37,619) = 0.1379340489705579766 C1(37,619) = 0.8831828258715900082 C2(37,619) = 2.080084468863530848 C3(37,619) = 3.107980616447315612 C4(37,619) = 4952 Sum = 4812.779883307167315 Averaged sum = 0.4808452276258534634 logp*logq = 23.21136047349959494 -------------- ************************************* p = 37; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12902568375.16108439 -------------- Searches starting with [37,631]-exponents: u = 16, v = 5 n_start has 40 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(37,631) = 1.007253661962099355 D2(37,631) = 0.09141775143348769445 C1(37,631) = 1.409047014940719507 C2(37,631) = 2.037524423109145282 C3(37,631) = 6.105334130642125008 C4(37,631) = 5048 Sum = 3857.248841825348912 Averaged sum = 0.3853780439429862036 logp*logq = 23.28069222734618847 -------------- ************************************* p = 37; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13656327932.34214831 -------------- Searches starting with [37,641]-exponents: u = 34, v = 5 n_start has 68 digits starting right neighbors generation We generated 369 left neighbors We generated 9641 right neighbors We generated 10009 non-negative rho_i D1(37,641) = 0.9735908586428475384 D2(37,641) = 0.05037184561991757450 C1(37,641) = 1.200486041714028996 C2(37,641) = 1.767696311355548070 C3(37,641) = 4.671024704615545367 C4(37,641) = 5128 Sum = 4414.174085067454813 Averaged sum = 0.4410204900656863635 logp*logq = 23.33746883594212137 -------------- ************************************* p = 37; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13810814898.72410022 -------------- Searches starting with [37,643]-exponents: u = 34, v = 5 n_start has 68 digits starting right neighbors generation We generated 369 left neighbors We generated 9641 right neighbors We generated 10009 non-negative rho_i D1(37,643) = 1.002309340505526926 D2(37,643) = 0.04469076817452361895 C1(37,643) = 1.298576550923330259 C2(37,643) = 1.762537394789025334 C3(37,643) = 5.297965917566563505 C4(37,643) = 5144 Sum = 5312.577157368038754 Averaged sum = 0.5307800137244518687 logp*logq = 23.34871781049956888 -------------- ************************************* p = 37; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14123574261.56074301 -------------- Searches starting with [37,647]-exponents: u = 43, v = 5 n_start has 82 digits starting right neighbors generation We generated 494 left neighbors We generated 9516 right neighbors We generated 10009 non-negative rho_i D1(37,647) = 1.003742960672710958 D2(37,647) = 0.03232992340477843226 C1(37,647) = 1.286748015293086858 C2(37,647) = 1.684232902928557971 C3(37,647) = 5.218111565489831122 C4(37,647) = 5176 Sum = 5230.815827212113460 Averaged sum = 0.5226112326118606714 logp*logq = 23.37111117164977265 -------------- ************************************* p = 37; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14602271829.11426696 -------------- Searches starting with [37,653]-exponents: u = 70, v = 5 n_start has 124 digits starting right neighbors generation We generated 899 left neighbors We generated 9111 right neighbors We generated 10009 non-negative rho_i D1(37,653) = 0.7322357011351941285 D2(37,653) = 0.01575841137858659420 C1(37,653) = 0.9535288340351699768 C2(37,653) = 1.540404059624081490 C3(37,653) = 3.401766303713824339 C4(37,653) = 5224 Sum = 3915.714692940194065 Averaged sum = 0.3912193718593459951 logp*logq = 23.40444295828939494 -------------- ************************************* p = 37; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15092592187.10801167 -------------- Searches starting with [37,659]-exponents: u = 142, v = 5 n_start has 237 digits starting right neighbors generation We generated 2199 left neighbors We generated 7811 right neighbors We generated 10009 non-negative rho_i D1(37,659) = 0.7929186966310745428 D2(37,659) = 0.002133600763202505183 C1(37,659) = 1.183166679855361841 C2(37,659) = 1.366529458896605891 C3(37,659) = 4.568299649764700191 C4(37,659) = 5272 Sum = 4584.726531775007469 Averaged sum = 0.4580603988185640393 logp*logq = 23.43746987675653609 -------------- ************************************* p = 37; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15258644938.89946077 -------------- Searches starting with [37,661]-exponents: u = 214, v = 5 n_start has 350 digits --- performed 5000 steps in the continued fraction search [37,661]-exponents: u = 86, v = 50 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,661) = 0.5847092068927567265 D2(37,661) = 0.1299231779220142932 C1(37,661) = 0.7246174744897027647 C2(37,661) = 1.539675147536852663 C3(37,661) = 2.535475792121462603 C4(37,661) = 5288 Sum = 5310.885674182372313 Averaged sum = 0.5311416815863958709 logp*logq = 23.44841206062266839 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(37,661) = 0.5847092068927567265 D2(37,661) = 0.1299231779220142932 C1(37,661) = 0.7246174744897027647 C2(37,661) = 1.539675147536852663 C3(37,661) = 2.535475792121462603 C4(37,661) = 5288 Sum = 5310.885674182372313 Averaged sum = 0.5311416815863958709 logp*logq = 23.44841206062266839 -------------- ************************************* p = 37; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16282843645.89769346 -------------- Searches starting with [37,673]-exponents: u = 9, v = 56 n_start has 173 digits starting right neighbors generation We generated 3345 left neighbors We generated 6665 right neighbors We generated 10009 non-negative rho_i D1(37,673) = 0.6950520196897444551 D2(37,673) = 0.01959457824403686984 C1(37,673) = 0.8849092935059895394 C2(37,673) = 1.910532938044505518 C3(37,673) = 3.114877777383974532 C4(37,673) = 5384 Sum = 4971.019724937821269 Averaged sum = 0.4966549830090739603 logp*logq = 23.51337785339151774 -------------- ************************************* p = 37; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16635019989.77193509 -------------- Searches starting with [37,677]-exponents: u = 9, v = 36 n_start has 117 digits starting right neighbors generation We generated 1479 left neighbors We generated 8531 right neighbors We generated 10009 non-negative rho_i D1(37,677) = 0.7319657380700754226 D2(37,677) = 0.03630080458921023160 C1(37,677) = 0.9503212181923631573 C2(37,677) = 1.928281048248253626 C3(37,677) = 3.387785086148576689 C4(37,677) = 5416 Sum = 4925.208062948534953 Averaged sum = 0.4920779361523164106 logp*logq = 23.53477594808561733 -------------- ************************************* p = 37; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17173566293.41634663 -------------- Searches starting with [37,683]-exponents: u = 9, v = 26 n_start has 88 digits starting right neighbors generation We generated 816 left neighbors We generated 9194 right neighbors We generated 10009 non-negative rho_i D1(37,683) = 0.7218830555568953198 D2(37,683) = 0.06252206950578715524 C1(37,683) = 0.9626283341390557603 C2(37,683) = 1.956053424058877517 C3(37,683) = 3.441743623468593403 C4(37,683) = 5464 Sum = 4104.823363859485769 Averaged sum = 0.4101132344749211478 logp*logq = 23.56663719520461800 -------------- ************************************* p = 37; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17911095265.74045256 -------------- Searches starting with [37,691]-exponents: u = 9, v = 16 n_start has 60 digits starting right neighbors generation We generated 295 left neighbors We generated 9715 right neighbors We generated 10009 non-negative rho_i D1(37,691) = 0.7079513594989848325 D2(37,691) = 0.003923403554452323555 C1(37,691) = 0.9241385809826843374 C2(37,691) = 1.784109560235302395 C3(37,691) = 3.275789240281285294 C4(37,691) = 5528 Sum = 4521.353468784976230 Averaged sum = 0.4517287909666276581 logp*logq = 23.60868620501523205 -------------- ************************************* p = 37; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18864885144.06219549 -------------- Searches starting with [37,701]-exponents: u = 9, v = 11 n_start has 46 digits starting right neighbors generation We generated 193 left neighbors We generated 9817 right neighbors We generated 10009 non-negative rho_i D1(37,701) = 0.7825906525003210075 D2(37,701) = 0.01060970244828735845 C1(37,701) = 1.040783936035572330 C2(37,701) = 1.909883015037096122 C3(37,701) = 3.805042017349231131 C4(37,701) = 5608 Sum = 4311.326277265156795 Averaged sum = 0.4307449572649772000 logp*logq = 23.66056810203575967 -------------- ************************************* p = 37; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19653936711.80446256 -------------- Searches starting with [37,709]-exponents: u = 9, v = 11 n_start has 46 digits starting right neighbors generation We generated 193 left neighbors We generated 9817 right neighbors We generated 10009 non-negative rho_i D1(37,709) = 0.9651821375125367156 D2(37,709) = 0.01575539160514094228 C1(37,709) = 1.378886851127202932 C2(37,709) = 1.917273441557663750 C3(37,709) = 5.873427309436055269 C4(37,709) = 5672 Sum = 4013.514192213358623 Averaged sum = 0.4009905277463641345 logp*logq = 23.70154349676364661 -------------- ************************************* p = 37; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20673476838.48965843 -------------- Searches starting with [37,719]-exponents: u = 9, v = 6 n_start has 32 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(37,719) = 0.7184792454187196560 D2(37,719) = 0.02446668408899181244 C1(37,719) = 0.9531030924228041177 C2(37,719) = 2.123957272298381516 C3(37,719) = 3.399907283747677450 C4(37,719) = 5752 Sum = 4326.822493752826709 Averaged sum = 0.4322931855083251783 logp*logq = 23.75211740348518607 -------------- ************************************* p = 37; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21516214331.93105882 -------------- Searches starting with [37,727]-exponents: u = 9, v = 6 n_start has 32 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(37,727) = 0.7766204414723285050 D2(37,727) = 0.03014682177164027850 C1(37,727) = 0.9692642373724529389 C2(37,727) = 2.131864561771650384 C3(37,727) = 3.471193413081251679 C4(37,727) = 5816 Sum = 4731.058340701828267 Averaged sum = 0.4726804216906612315 logp*logq = 23.79207264282159816 -------------- ************************************* p = 37; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22164363477.39472217 -------------- Searches starting with [37,733]-exponents: u = 9, v = 6 n_start has 32 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(37,733) = 0.7254538681757422879 D2(37,733) = 0.03441071797537365881 C1(37,733) = 0.9299950159760654562 C2(37,733) = 2.137782435674512799 C3(37,733) = 3.300514183429041425 C4(37,733) = 5864 Sum = 4812.883343890354764 Averaged sum = 0.4808555643810924931 logp*logq = 23.82175158726636459 -------------- ************************************* p = 37; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22826513751.15003774 -------------- Searches starting with [37,739]-exponents: u = 9, v = 6 n_start has 32 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(37,739) = 1.145983969770848051 D2(37,739) = 0.03867862766260434984 C1(37,739) = 1.486784428625010929 C2(37,739) = 2.143690535514468601 C3(37,739) = 6.746168557414318875 C4(37,739) = 5912 Sum = 6087.450166691699597 Averaged sum = 0.6081976387942551301 logp*logq = 23.85118858110351619 -------------- ************************************* p = 37; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23275817032.19942796 -------------- Searches starting with [37,743]-exponents: u = 9, v = 6 n_start has 32 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(37,743) = 0.9108075179579013180 D2(37,743) = 0.04152647136758513872 C1(37,743) = 1.155506054018356620 C2(37,743) = 2.147624291305305062 C3(37,743) = 4.408902864972422769 C4(37,743) = 5944 Sum = 5317.628052935375956 Averaged sum = 0.5312846491093391904 logp*logq = 23.87068076291768154 -------------- ************************************* p = 37; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24193558931.78936783 -------------- Searches starting with [37,751]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(37,751) = 1.299044355798562240 D2(37,751) = 0.02445244006083000778 C1(37,751) = 1.994622524020622141 C2(37,751) = 1.115977203862008597 C3(37,751) = 12.94901267652922898 C4(37,751) = 6008 Sum = 3407.138310886305703 Averaged sum = 0.3404074643706969431 logp*logq = 23.90935227483881992 -------------- ************************************* p = 37; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24898826760.69678183 -------------- Searches starting with [37,757]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(37,757) = 0.7748153389375011720 D2(37,757) = 0.02544673064794893408 C1(37,757) = 1.189693115637586076 C2(37,757) = 2.453633102206312957 C3(37,757) = 4.606741450594827192 C4(37,757) = 6056 Sum = 4808.948887994492969 Averaged sum = 0.4804624725741325775 logp*logq = 23.93808652126267722 -------------- ************************************* p = 37; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25377186440.25747999 -------------- Searches starting with [37,761]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(37,761) = 0.6490273061823893231 D2(37,761) = 0.01026674340074618437 C1(37,761) = 0.9965514093781764694 C2(37,761) = 2.439922523912540485 C3(37,761) = 3.594964621551653416 C4(37,761) = 6088 Sum = 4686.747595409165933 Averaged sum = 0.4682533315425283178 logp*logq = 23.95711643572966039 -------------- ************************************* p = 37; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26353792064.30357284 -------------- Searches starting with [37,769]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(37,769) = 1.285512299665690495 D2(37,769) = 0.04915969302352051831 C1(37,769) = 1.581323934359541704 C2(37,769) = 1.777452200062978905 C3(37,769) = 7.616826829228662590 C4(37,769) = 6152 Sum = 4252.853488925987207 Averaged sum = 0.4249029362499737443 logp*logq = 23.99487801293830565 -------------- ************************************* p = 37; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26852150307.28318951 -------------- Searches starting with [37,773]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(37,773) = 0.7449689855994107127 D2(37,773) = 0.05150637215360907750 C1(37,773) = 1.014019714851626490 C2(37,773) = 1.780621262376704545 C3(37,773) = 3.676505801716655929 C4(37,773) = 6184 Sum = 4341.056620667013950 Averaged sum = 0.4337153182802491707 logp*logq = 24.01361174062691258 -------------- ************************************* p = 37; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28650158942.14509293 -------------- Searches starting with [37,787]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(37,787) = 0.8244916919131268683 D2(37,787) = 0.06965315413017059910 C1(37,787) = 1.157593667536767301 C2(37,787) = 2.088831418235998712 C3(37,787) = 4.420736413063102270 C4(37,787) = 6296 Sum = 4418.917758253904050 Averaged sum = 0.4414944308376365321 logp*logq = 24.07842482781062260 -------------- ************************************* p = 37; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29986641359.34447457 -------------- Searches starting with [37,797]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(37,797) = 0.8838258623962167696 D2(37,797) = 0.07655059691498323306 C1(37,797) = 1.198094659899551632 C2(37,797) = 2.098179148956729005 C3(37,797) = 4.656704583451686979 C4(37,797) = 6376 Sum = 3575.077014908890492 Averaged sum = 0.3571862338803966921 logp*logq = 24.12401783141656387 -------------- ************************************* p = 37; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31649248749.75800085 -------------- Searches starting with [37,809]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(37,809) = 0.6769288483654667928 D2(37,809) = 0.08486913956845749307 C1(37,809) = 1.015986849811708339 C2(37,809) = 2.109396917133341077 C3(37,809) = 3.685803386690097633 C4(37,809) = 6472 Sum = 4403.591379765169211 Averaged sum = 0.4399631711225066651 logp*logq = 24.17798024907030733 -------------- ************************************* p = 37; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31932690427.37194948 -------------- Searches starting with [37,811]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(37,811) = 0.7512361477955109189 D2(37,811) = 0.08377435889671989985 C1(37,811) = 1.127458845531374537 C2(37,811) = 1.519608927754640439 C3(37,811) = 4.252956230960674476 C4(37,811) = 6488 Sum = 4838.734462127245802 Averaged sum = 0.4834383516961980020 logp*logq = 24.18689610029791785 -------------- ************************************* p = 37; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33377508074.22745227 -------------- Searches starting with [37,821]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(37,821) = 0.8923616472939766011 D2(37,821) = 0.06053219479756875264 C1(37,821) = 1.339059922441785823 C2(37,821) = 1.376744238265715433 C3(37,821) = 5.580632207430785948 C4(37,821) = 6568 Sum = 4609.378327219525073 Averaged sum = 0.4605233616964257241 logp*logq = 24.23114809913479260 -------------- ************************************* p = 37; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33672044561.76533359 -------------- Searches starting with [37,823]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(37,823) = 0.7784940395292500378 D2(37,823) = 0.06575137769263449414 C1(37,823) = 1.168192482671780320 C2(37,823) = 1.474622495532715507 C3(37,823) = 4.481307100966223562 C4(37,823) = 6584 Sum = 4367.912101071156802 Averaged sum = 0.4363984515007649917 logp*logq = 24.23993379182094839 -------------- ************************************* p = 37; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34266749098.90422600 -------------- Searches starting with [37,827]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(37,827) = 0.8552354066016458139 D2(37,827) = 0.05983760421672167749 C1(37,827) = 1.105826435862016592 C2(37,827) = 2.394025136894517643 C3(37,827) = 4.136454966372385183 C4(37,827) = 6616 Sum = 4175.374318848756426 Averaged sum = 0.4171619860973879934 logp*logq = 24.25744130690651823 -------------- ************************************* p = 37; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34566931848.52889631 -------------- Searches starting with [37,829]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(37,829) = 1.026142155919902078 D2(37,829) = 0.05125139827655432548 C1(37,829) = 1.339490191923200659 C2(37,829) = 2.386079828881551938 C3(37,829) = 5.583716077603905100 C4(37,829) = 6632 Sum = 4239.850809111086686 Averaged sum = 0.4236038374573970113 logp*logq = 24.26616333509078550 -------------- ************************************* p = 37; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36096445386.08163421 -------------- Searches starting with [37,839]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(37,839) = 1.257605359450076114 D2(37,839) = 0.01071072454099152821 C1(37,839) = 1.601127264589336103 C2(37,839) = 2.348720627469920351 C3(37,839) = 7.812980991147500671 C4(37,839) = 6712 Sum = 5489.535992223518365 Averaged sum = 0.5484599852356397607 logp*logq = 24.30946023167766373 -------------- ************************************* p = 37; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38319193300.34868064 -------------- Searches starting with [37,853]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(37,853) = 0.6294971859287233884 D2(37,853) = 0.1115481993173929533 C1(37,853) = 0.7893501016983800113 C2(37,853) = 2.070693696873020235 C3(37,853) = 2.755215174273706942 C4(37,853) = 6824 Sum = 4677.005506454553850 Averaged sum = 0.4672799986466733790 logp*logq = 24.36921673816643467 -------------- ************************************* p = 37; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38972026332.84153690 -------------- Searches starting with [37,857]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(37,857) = 0.6886521477775674127 D2(37,857) = 0.1143042533644136720 C1(37,857) = 0.8802424118802936655 C2(37,857) = 2.074330725969286185 C3(37,857) = 3.096268930974113377 C4(37,857) = 6856 Sum = 4592.846879220527413 Averaged sum = 0.4588717033890026389 logp*logq = 24.38610995219545076 -------------- ************************************* p = 37; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39301440695.88632319 -------------- Searches starting with [37,859]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(37,859) = 1.014787557532111847 D2(37,859) = 0.1156853821015445502 C1(37,859) = 1.335677522846674796 C2(37,859) = 2.076150769923487950 C3(37,859) = 5.556448783606438253 C4(37,859) = 6872 Sum = 5325.898830777414496 Averaged sum = 0.5321109831928678685 logp*logq = 24.39452701407810978 -------------- ************************************* p = 37; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39966302756.81799316 -------------- Searches starting with [37,863]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(37,863) = 0.6663595422636293833 D2(37,863) = 0.1184540046981968896 C1(37,863) = 0.8574537515239446459 C2(37,863) = 2.079794102956281470 C3(37,863) = 3.006985379443581478 C4(37,863) = 6904 Sum = 4770.403925427583484 Averaged sum = 0.4766114422447380841 logp*logq = 24.41130250493632105 -------------- ************************************* p = 37; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42357463823.28030176 -------------- Searches starting with [37,877]-exponents: u = 15, v = 1 n_start has 27 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(37,877) = 0.7530906241660273432 D2(37,877) = 0.09191515419705737299 C1(37,877) = 1.110151859852083445 C2(37,877) = 1.500143625078573680 C3(37,877) = 4.159491423258508129 C4(37,877) = 7016 Sum = 4439.616468121430317 Averaged sum = 0.4435624406155890016 logp*logq = 24.46941048391555456 -------------- ************************************* p = 37; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43059230063.21129014 -------------- Searches starting with [37,881]-exponents: u = 15, v = 1 n_start has 27 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(37,881) = 0.7191951609768071390 D2(37,881) = 0.09412324848343948860 C1(37,881) = 0.9317812266153135786 C2(37,881) = 2.352715012070675745 C3(37,881) = 3.308092357127465196 C4(37,881) = 7048 Sum = 4042.505935193847914 Averaged sum = 0.4038870951337644034 logp*logq = 24.48584244816566944 -------------- ************************************* p = 37; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43413247532.14333470 -------------- Searches starting with [37,883]-exponents: u = 15, v = 1 n_start has 27 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(37,883) = 0.6637790297438010876 D2(37,883) = 0.08433518704599156597 C1(37,883) = 0.8702884499363210270 C2(37,883) = 2.343504968346573661 C3(37,883) = 3.056948838709779028 C4(37,883) = 7064 Sum = 4297.258173548280395 Averaged sum = 0.4293394118841323204 logp*logq = 24.49403047415181634 -------------- ************************************* p = 37; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44127589448.96772729 -------------- Searches starting with [37,887]-exponents: u = 15, v = 1 n_start has 27 digits starting right neighbors generation We generated 40 left neighbors We generated 9970 right neighbors We generated 10009 non-negative rho_i D1(37,887) = 0.7917792233040268466 D2(37,887) = 0.06545154219680936602 C1(37,887) = 1.055831676857752043 C2(37,887) = 2.325773441627579272 C3(37,887) = 3.879272986495538211 C4(37,887) = 7096 Sum = 3700.385149672325870 Averaged sum = 0.3697057797654436877 logp*logq = 24.51035103487387937 -------------- ************************************* p = 37; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47827439544.05811799 -------------- Searches starting with [37,907]-exponents: u = 15, v = 1 n_start has 27 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(37,907) = 0.7090727039403024098 D2(37,907) = 0.1449369133392099350 C1(37,907) = 0.8785911874113996881 C2(37,907) = 2.054915754744200779 C3(37,907) = 3.089711455577960562 C4(37,907) = 7256 Sum = 4533.567356256027516 Averaged sum = 0.4529490814522956854 logp*logq = 24.59086536077957346 -------------- ************************************* p = 37; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48593470851.01325629 -------------- Searches starting with [37,911]-exponents: u = 15, v = 1 n_start has 27 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(37,911) = 0.6991915167578038123 D2(37,911) = 0.1397800819677719559 C1(37,911) = 1.016152471418805896 C2(37,911) = 1.583631130604054156 C3(37,911) = 3.686587262947802376 C4(37,911) = 7288 Sum = 4374.376574769155199 Averaged sum = 0.4370443175910835446 logp*logq = 24.60675501419845433 -------------- ************************************* p = 37; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50152092851.13881915 -------------- Searches starting with [37,919]-exponents: u = 17, v = 1 n_start has 30 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(37,919) = 0.9032694067344813064 D2(37,919) = 0.1027794167572368164 C1(37,919) = 1.312615072489757749 C2(37,919) = 1.384246881219024090 C3(37,919) = 5.394327217497095715 C4(37,919) = 7352 Sum = 4455.172508640631814 Averaged sum = 0.4451166458827686896 logp*logq = 24.63832608231090171 -------------- ************************************* p = 37; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52150815817.41591631 -------------- Searches starting with [37,929]-exponents: u = 17, v = 1 n_start has 30 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(37,929) = 0.8225545209119825094 D2(37,929) = 0.1010172757091204012 C1(37,929) = 1.009748096112129095 C2(37,929) = 2.298339796749345709 C3(37,929) = 3.656396847194721683 C4(37,929) = 7432 Sum = 3926.353678158723226 Averaged sum = 0.3922823137335121616 logp*logq = 24.67740566194131904 -------------- ************************************* p = 37; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53790764961.33080106 -------------- Searches starting with [37,937]-exponents: u = 17, v = 1 n_start has 30 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(37,937) = 0.8242208360453954769 D2(37,937) = 0.06063990911168093389 C1(37,937) = 1.119536211534636801 C2(37,937) = 2.260076182448306770 C3(37,937) = 4.209912921785167579 C4(37,937) = 7496 Sum = 3761.572334340508581 Averaged sum = 0.3758189963373472456 logp*logq = 24.70836763438589397 -------------- ************************************* p = 37; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54624570606.75314570 -------------- Searches starting with [37,941]-exponents: u = 17, v = 1 n_start has 30 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(37,941) = 0.6177559281991624042 D2(37,941) = 0.04189616444672109501 C1(37,941) = 0.7769127804811805477 C2(37,941) = 2.242382555883356106 C3(37,941) = 2.711566452896175087 C4(37,941) = 7528 Sum = 4604.774349471170448 Averaged sum = 0.4600633779070007441 logp*logq = 24.72374962958533172 -------------- ************************************* p = 37; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55892746841.12707239 -------------- Searches starting with [37,947]-exponents: u = 17, v = 1 n_start has 30 digits starting right neighbors generation We generated 45 left neighbors We generated 9965 right neighbors We generated 10009 non-negative rho_i D1(37,947) = 0.9618732303623584651 D2(37,947) = 0.01528572588609198048 C1(37,947) = 1.234346387993391061 C2(37,947) = 2.217338954278823486 C3(37,947) = 4.878578413369608641 C4(37,947) = 7576 Sum = 5423.043136687046662 Averaged sum = 0.5418166786579125448 logp*logq = 24.74670045629402988 -------------- ************************************* p = 37; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57182075992.21690902 -------------- Searches starting with [37,953]-exponents: u = 17, v = 1 n_start has 30 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(37,953) = 1.059087300140646669 D2(37,953) = 0.1141811943380260776 C1(37,953) = 1.520942303867229768 C2(37,953) = 1.291999333840367633 C3(37,953) = 7.048622000078845970 C4(37,953) = 7624 Sum = 3857.713685855306373 Averaged sum = 0.3854244865476377633 logp*logq = 24.76950632944624426 -------------- ************************************* p = 37; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60273988671.77724922 -------------- Searches starting with [37,967]-exponents: u = 19, v = 1 n_start has 33 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(37,967) = 0.6430754767961352966 D2(37,967) = 0.1146707565003120068 C1(37,967) = 0.8227652007607883183 C2(37,967) = 2.259597476822469100 C3(37,967) = 2.875996608102579246 C4(37,967) = 7736 Sum = 4690.345349316960272 Averaged sum = 0.4686127834266120763 logp*logq = 24.82216648230427775 -------------- ************************************* p = 37; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61179148239.54566344 -------------- Searches starting with [37,971]-exponents: u = 19, v = 1 n_start has 33 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(37,971) = 0.9666455738598303628 D2(37,971) = 0.09206957214115597658 C1(37,971) = 1.303099016939693934 C2(37,971) = 2.237985186276816312 C3(37,971) = 5.328818971579670135 C4(37,971) = 7768 Sum = 4260.437344091837961 Averaged sum = 0.4256606398333337957 logp*logq = 24.83707225336803120 -------------- ************************************* p = 37; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62555260511.18873711 -------------- Searches starting with [37,977]-exponents: u = 19, v = 1 n_start has 33 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(37,977) = 0.6589620147624727310 D2(37,977) = 0.06052720294913924048 C1(37,977) = 0.8180562423481322869 C2(37,977) = 2.207918545690796450 C3(37,977) = 2.858660437957897569 C4(37,977) = 7816 Sum = 4557.229314809238452 Averaged sum = 0.4553131496462422272 logp*logq = 24.85931617122135018 -------------- ************************************* p = 37; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63953615579.26352215 -------------- Searches starting with [37,983]-exponents: u = 19, v = 1 n_start has 33 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(37,983) = 0.7873865514002325428 D2(37,983) = 0.03133776129047712542 C1(37,983) = 1.119496806077727097 C2(37,983) = 2.180195797508413264 C3(37,983) = 4.209699926167640332 C4(37,983) = 7864 Sum = 4606.189776460717842 Averaged sum = 0.4602047933320729186 logp*logq = 24.88142390096906261 -------------- ************************************* p = 37; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65853070070.70393133 -------------- Searches starting with [37,991]-exponents: u = 21, v = 1 n_start has 36 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(37,991) = 0.6687480065727948533 D2(37,991) = 0.1576698403419637328 C1(37,991) = 0.8457145520460998476 C2(37,991) = 1.626392151144996165 C3(37,991) = 2.962001895160098818 C4(37,991) = 7928 Sum = 4752.222379575442902 Averaged sum = 0.4747949225272697474 logp*logq = 24.91069188623121309 -------------- ************************************* p = 37; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67304183767.38048654 -------------- Searches starting with [37,997]-exponents: u = 21, v = 1 n_start has 36 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(37,997) = 0.6594110852849863552 D2(37,997) = 0.1384999957974453198 C1(37,997) = 0.8398853613994480420 C2(37,997) = 2.237760297476383484 C3(37,997) = 2.939915667259924498 C4(37,997) = 7976 Sum = 4742.384981779741739 Averaged sum = 0.4738120673173885242 logp*logq = 24.93248823759920281 -------------- ************************************* p = 41; q = 43; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1164133.611181660823 -------------- Searches starting with [41,43]-exponents: u = 1, v = 77 n_start has 128 digits starting right neighbors generation We generated 1079 left neighbors We generated 8931 right neighbors We generated 10009 non-negative rho_i D1(41,43) = 1.154528136192179636 D2(41,43) = 0.01027309601249427773 C1(41,43) = 1.501193048907327383 C2(41,43) = 1.075379797732943444 C3(41,43) = 7.167497895910783433 C4(41,43) = 344 Sum = 6726.777882767723264 Averaged sum = 0.6720729226463905749 logp*logq = 13.96748768692462423 -------------- ************************************* p = 41; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1619779.499296300747 -------------- Searches starting with [41,47]-exponents: u = 1, v = 27 n_start has 47 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(41,47) = 0.8060226267076049253 D2(41,47) = 0.05759923683357663318 C1(41,47) = 1.019711927186385714 C2(41,47) = 1.380103832024289411 C3(41,47) = 3.810864893102036829 C4(41,47) = 376 Sum = 5088.047350343875706 Averaged sum = 0.5083472225341068744 logp*logq = 14.29780058639905640 -------------- ************************************* p = 41; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2530595.343932728368 -------------- Searches starting with [41,53]-exponents: u = 1, v = 14 n_start has 26 digits starting right neighbors generation We generated 57 left neighbors We generated 9953 right neighbors We generated 10009 non-negative rho_i D1(41,53) = 0.8477778555954750381 D2(41,53) = 0.03216717687856005033 C1(41,53) = 1.171681118055411564 C2(41,53) = 1.597936000682522704 C3(41,53) = 4.651728503449231168 C4(41,53) = 424 Sum = 4755.643134575696828 Averaged sum = 0.4751366904361771234 logp*logq = 14.74396514682915406 -------------- ************************************* p = 41; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3768656.585797931281 -------------- Searches starting with [41,59]-exponents: u = 1, v = 10 n_start has 20 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(41,59) = 0.9700610398160024289 D2(41,59) = 0.1553562138740573605 C1(41,59) = 1.286237896679790356 C2(41,59) = 1.317315136712163458 C3(41,59) = 5.406147353011392114 C4(41,59) = 472 Sum = 5831.646373093291107 Averaged sum = 0.5826402610743621847 logp*logq = 15.14222915262916313 -------------- ************************************* p = 41; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4265313.970279728187 -------------- Searches starting with [41,61]-exponents: u = 1, v = 9 n_start has 18 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(41,61) = 0.8661358357024277878 D2(41,61) = 0.09897012048105576184 C1(41,61) = 1.197066592576950852 C2(41,61) = 1.871136926593812050 C3(41,61) = 4.809265972080091063 C4(41,61) = 488 Sum = 4649.869364136238890 Averaged sum = 0.4645688244715994495 logp*logq = 15.26602635173880738 -------------- ************************************* p = 41; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6043108.322376512143 -------------- Searches starting with [41,67]-exponents: u = 1, v = 7 n_start has 15 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(41,67) = 0.7656139378266139776 D2(41,67) = 0.1136931636908817570 C1(41,67) = 0.9697775489290161323 C2(41,67) = 1.682302339898912511 C3(41,67) = 3.569203826232191903 C4(41,67) = 536 Sum = 5282.972784188304464 Averaged sum = 0.5278222384042666065 logp*logq = 15.61442906044805932 -------------- ************************************* p = 41; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7495166.624428903288 -------------- Searches starting with [41,71]-exponents: u = 1, v = 6 n_start has 13 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(41,71) = 0.7476061095549511724 D2(41,71) = 0.08099558196313202839 C1(41,71) = 1.033258113858855224 C2(41,71) = 1.725443227011086972 C3(41,71) = 3.879198997019383672 C4(41,71) = 568 Sum = 5007.812148974188058 Averaged sum = 0.5003309170720539572 logp*logq = 15.82976892068318238 -------------- ************************************* p = 41; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8309668.995565835693 -------------- Searches starting with [41,73]-exponents: u = 1, v = 6 n_start has 13 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(41,73) = 1.001008095973308027 D2(41,73) = 0.05768326670456642328 C1(41,73) = 1.275810965707956316 C2(41,73) = 1.540262287801851616 C3(41,73) = 5.332694427072474027 C4(41,73) = 584 Sum = 5352.098121906192326 Averaged sum = 0.5347285564897784319 logp*logq = 15.93293033397644032 -------------- ************************************* p = 41; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11142302.86907738746 -------------- Searches starting with [41,79]-exponents: u = 7, v = 5 n_start has 21 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(41,79) = 1.088043335766179267 D2(41,79) = 0.02063241102177597588 C1(41,79) = 1.564556739898477717 C2(41,79) = 1.771695758237855562 C3(41,79) = 7.788820391955244874 C4(41,79) = 632 Sum = 4246.531077119401025 Averaged sum = 0.4242712635747228519 logp*logq = 16.22625949184265643 -------------- ************************************* p = 41; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13385506.14186873867 -------------- Searches starting with [41,83]-exponents: u = 19, v = 5 n_start has 41 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(41,83) = 0.7454901503455768971 D2(41,83) = 0.09381039133340931502 C1(41,83) = 0.9607697714335833366 C2(41,83) = 1.666875094910091361 C3(41,83) = 3.527270706448125670 C4(41,83) = 664 Sum = 5061.716937221911850 Averaged sum = 0.5057165488282457638 logp*logq = 16.40968304833213178 -------------- ************************************* p = 41; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17346037.29400541471 -------------- Searches starting with [41,89]-exponents: u = 6, v = 19 n_start has 47 digits starting right neighbors generation We generated 262 left neighbors We generated 9748 right neighbors We generated 10009 non-negative rho_i D1(41,89) = 0.8016552094689389238 D2(41,89) = 0.03625162251848265109 C1(41,89) = 1.014801945519839314 C2(41,89) = 1.465485990230634042 C3(41,89) = 3.786394707342224909 C4(41,89) = 712 Sum = 5160.361503215350331 Averaged sum = 0.5155721353996753252 logp*logq = 16.66887464023030403 -------------- ************************************* p = 41; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23879213.32282320335 -------------- Searches starting with [41,97]-exponents: u = 16, v = 4 n_start has 34 digits starting right neighbors generation We generated 157 left neighbors We generated 9853 right neighbors We generated 10009 non-negative rho_i D1(41,97) = 1.137876199967120688 D2(41,97) = 0.05431667863343961557 C1(41,97) = 1.473911357326227954 C2(41,97) = 1.747884354066941048 C3(41,97) = 6.915485713061804534 C4(41,97) = 776 Sum = 6140.312903892971994 Averaged sum = 0.6134791591460657403 logp*logq = 16.98851890301569358 -------------- ************************************* p = 41; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27745455.96711623380 -------------- Searches starting with [41,101]-exponents: u = 41, v = 4 n_start has 75 digits starting right neighbors generation We generated 802 left neighbors We generated 9208 right neighbors We generated 10009 non-negative rho_i D1(41,101) = 0.6560373368728761433 D2(41,101) = 0.003005912536035402001 C1(41,101) = 0.8487709320052845700 C2(41,101) = 1.581156215943647606 C3(41,101) = 3.045248689643490481 C4(41,101) = 808 Sum = 5119.811558319591249 Averaged sum = 0.5115207871235479318 logp*logq = 17.13858263581564905 -------------- ************************************* p = 41; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29841186.88377576083 -------------- Searches starting with [41,103]-exponents: u = 156, v = 4 n_start has 260 digits --- performed 5000 steps in the continued fraction search [41,103]-exponents: u = 74, v = 32 --- starting right neighbors generation We generated 9719 left neighbors We generated 291 right neighbors We generated 10009 non-negative rho_i D1(41,103) = 0.8263554029068712127 D2(41,103) = 0.001366377413500379166 C1(41,103) = 1.039716759998039850 C2(41,103) = 1.292905828142450972 C3(41,103) = 3.912209855405347718 C4(41,103) = 824 Sum = 5697.695106968079874 Averaged sum = 0.5692571792354960409 logp*logq = 17.21140010743429399 -------------- ************************************* p = 41; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34376599.10022117183 -------------- Searches starting with [41,107]-exponents: u = 5, v = 27 n_start has 63 digits starting right neighbors generation We generated 513 left neighbors We generated 9497 right neighbors We generated 10009 non-negative rho_i D1(41,107) = 0.7280542574960744413 D2(41,107) = 0.05031618058567799425 C1(41,107) = 0.9184375703820945386 C2(41,107) = 1.590016540175854761 C3(41,107) = 3.336708350366237843 C4(41,107) = 856 Sum = 4990.511509481173759 Averaged sum = 0.4986024087802151822 logp*logq = 17.35288663214818272 -------------- ************************************* p = 41; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36823929.52479913605 -------------- Searches starting with [41,109]-exponents: u = 5, v = 15 n_start has 39 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(41,109) = 1.027223364064622613 D2(41,109) = 0.05689377563681596676 C1(41,109) = 1.451291426867244430 C2(41,109) = 1.698941488357718572 C3(41,109) = 6.713268792856133319 C4(41,109) = 872 Sum = 4611.875983950545048 Averaged sum = 0.4607729027825502095 logp*logq = 17.42165845063855878 -------------- ************************************* p = 41; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42097350.03136505852 -------------- Searches starting with [41,113]-exponents: u = 5, v = 7 n_start has 23 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(41,113) = 1.134160068247330819 D2(41,113) = 0.01128335793774976628 C1(41,113) = 1.698002109106612036 C2(41,113) = 1.818595896329816217 C3(41,113) = 9.279140996837653426 C4(41,113) = 904 Sum = 4276.194781349886808 Averaged sum = 0.4272349666649901896 logp*logq = 17.55549535204835616 -------------- ************************************* p = 41; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64957115.60258806412 -------------- Searches starting with [41,127]-exponents: u = 13, v = 3 n_start has 28 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(41,127) = 0.9951670276315243391 D2(41,127) = 0.1166135809863728381 C1(41,127) = 1.379047542703785031 C2(41,127) = 1.850283414417444630 C3(41,127) = 6.106186425005798729 C4(41,127) = 1016 Sum = 4467.909253215676837 Averaged sum = 0.4463891750640100746 logp*logq = 17.98923785016235019 -------------- ************************************* p = 41; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72885232.11148280229 -------------- Searches starting with [41,131]-exponents: u = 21, v = 3 n_start has 41 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(41,131) = 0.9182433360121107939 D2(41,131) = 0.1171097427762975307 C1(41,131) = 1.313947420139508107 C2(41,131) = 1.758697534710189508 C3(41,131) = 5.606302659696323636 C4(41,131) = 1048 Sum = 4480.607732404486440 Averaged sum = 0.4476578811474159696 logp*logq = 18.10439659911140959 -------------- ************************************* p = 41; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86072776.51215911009 -------------- Searches starting with [41,137]-exponents: u = 49, v = 3 n_start has 86 digits starting right neighbors generation We generated 812 left neighbors We generated 9198 right neighbors We generated 10009 non-negative rho_i D1(41,137) = 0.7379236022817954900 D2(41,137) = 0.02293063758783597115 C1(41,137) = 0.9817788189643597801 C2(41,137) = 1.501280603021465740 C3(41,137) = 3.625847848324188637 C4(41,137) = 1096 Sum = 5071.581763498490042 Averaged sum = 0.5067021444198711202 logp*logq = 18.27070373487332356 -------------- ************************************* p = 41; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90832214.14232699183 -------------- Searches starting with [41,139]-exponents: u = 97, v = 3 n_start has 163 digits starting right neighbors generation We generated 3062 left neighbors We generated 6948 right neighbors We generated 10009 non-negative rho_i D1(41,139) = 1.553657117661588371 D2(41,139) = 0.01233432754207078739 C1(41,139) = 1.999234814378225227 C2(41,139) = 1.351613563364257933 C3(41,139) = 13.77677977710621410 C4(41,139) = 1112 Sum = 5103.477193847348567 Averaged sum = 0.5098888194472323476 logp*logq = 18.32452456195467734 -------------- ************************************* p = 41; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117566563.0327648858 -------------- Searches starting with [41,149]-exponents: u = 4, v = 23 n_start has 57 digits starting right neighbors generation We generated 368 left neighbors We generated 9642 right neighbors We generated 10009 non-negative rho_i D1(41,149) = 0.7619563795753407704 D2(41,149) = 0.01547927361649998413 C1(41,149) = 0.9591750164151704412 C2(41,149) = 1.650136143382069878 C3(41,149) = 3.519898280216578662 C4(41,149) = 1192 Sum = 4763.167702782590830 Averaged sum = 0.4758884706546698801 logp*logq = 18.58251522504726522 -------------- ************************************* p = 41; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 123534404.3333380434 -------------- Searches starting with [41,151]-exponents: u = 4, v = 17 n_start has 44 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(41,151) = 1.191460976701359710 D2(41,151) = 0.09198083070556326278 C1(41,151) = 1.514154940478011913 C2(41,151) = 1.728856329419035596 C3(41,151) = 7.290430167929664402 C4(41,151) = 1208 Sum = 5373.064151722006571 Averaged sum = 0.5368232742253977991 logp*logq = 18.63203025283465074 -------------- ************************************* p = 41; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 142768241.5651214330 -------------- Searches starting with [41,157]-exponents: u = 4, v = 11 n_start has 31 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(41,157) = 0.7137465868726220503 D2(41,157) = 0.1726394852179246950 C1(41,157) = 0.8946593222717590850 C2(41,157) = 1.903621245773317847 C3(41,157) = 3.234220280458962953 C4(41,157) = 1256 Sum = 4905.407534344267479 Averaged sum = 0.4900996637370633909 logp*logq = 18.77673318513230358 -------------- ************************************* p = 41; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164103594.5555323485 -------------- Searches starting with [41,163]-exponents: u = 4, v = 8 n_start has 25 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(41,163) = 0.7254466525302152190 D2(41,163) = 0.09551486277070305651 C1(41,163) = 0.9141646464844727435 C2(41,163) = 1.960707387502084167 C3(41,163) = 3.318054926332466910 C4(41,163) = 1304 Sum = 4731.170407609339700 Averaged sum = 0.4726916183044599560 logp*logq = 18.91600846048545129 -------------- ************************************* p = 41; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179563391.4676393445 -------------- Searches starting with [41,167]-exponents: u = 11, v = 5 n_start has 29 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(41,167) = 0.6905446686849741949 D2(41,167) = 0.1069484192968169037 C1(41,167) = 0.9209777644135367232 C2(41,167) = 1.882490067384579894 C3(41,167) = 3.347847215815735568 C4(41,167) = 1336 Sum = 4637.496051670779840 Averaged sum = 0.4633326058218383295 logp*logq = 19.00603885935634870 -------------- ************************************* p = 41; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204713032.9018855411 -------------- Searches starting with [41,173]-exponents: u = 18, v = 5 n_start has 41 digits starting right neighbors generation We generated 181 left neighbors We generated 9829 right neighbors We generated 10009 non-negative rho_i D1(41,173) = 0.8044662253047154797 D2(41,173) = 0.04147550873035642226 C1(41,173) = 1.054605963485360553 C2(41,173) = 1.675980247134858311 C3(41,173) = 3.989384442298476039 C4(41,173) = 1384 Sum = 5112.799827900906731 Averaged sum = 0.5108202445699776932 logp*logq = 19.13711971690905468 -------------- ************************************* p = 41; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 232344334.0501517464 -------------- Searches starting with [41,179]-exponents: u = 88, v = 5 n_start has 154 digits starting right neighbors generation We generated 3209 left neighbors We generated 6801 right neighbors We generated 10009 non-negative rho_i D1(41,179) = 0.7786150781438742455 D2(41,179) = 0.02001900104057288421 C1(41,179) = 1.006772694119604967 C2(41,179) = 1.660612103598771896 C3(41,179) = 3.746716926509119427 C4(41,179) = 1432 Sum = 4748.779193705243884 Averaged sum = 0.4744509135483308906 logp*logq = 19.26373102778864370 -------------- ************************************* p = 41; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242131945.3251197242 -------------- Searches starting with [41,181]-exponents: u = 2062, v = 5 n_start has 3337 digits --- performed 5000 steps in the continued fraction search [41,181]-exponents: u = 124, v = 1387 --- **************************************************** Computing .... elapsed time = 7 minutes **************************************************** We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,181) = 0.8442479195605034232 D2(41,181) = 0.6475535952952817737 C1(41,181) = 0.9893816354698536097 C2(41,181) = 1.461126149786871187 C3(41,181) = 3.662196124838886363 C4(41,181) = 1448 Sum = 6690.928180384889636 Averaged sum = 0.6691597340118901526 logp*logq = 19.30499336415404114 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,181) = 0.8442479195605034232 D2(41,181) = 0.6475535952952817737 C1(41,181) = 0.9893816354698536097 C2(41,181) = 1.461126149786871187 C3(41,181) = 3.662196124838886363 C4(41,181) = 1448 Sum = 6690.928180384889636 Averaged sum = 0.6691597340118901526 logp*logq = 19.30499336415404114 -------------- ************************************* p = 41; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 295652663.4803122122 -------------- Searches starting with [41,191]-exponents: u = 7, v = 12 n_start has 39 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(41,191) = 0.7040336078574156175 D2(41,191) = 0.02680718147414576503 C1(41,191) = 0.9050486117336405454 C2(41,191) = 1.700944366103151905 C3(41,191) = 3.278606749443418504 C4(41,191) = 1528 Sum = 5048.254664850274261 Averaged sum = 0.5043715321061319073 logp*logq = 19.50469588908724280 -------------- ************************************* p = 41; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307313599.5966906131 -------------- Searches starting with [41,193]-exponents: u = 7, v = 7 n_start has 28 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(41,193) = 0.9230540384123597007 D2(41,193) = 0.04068693727546360095 C1(41,193) = 1.350498579141665380 C2(41,193) = 1.882508292364168526 C3(41,193) = 5.881703022743393351 C4(41,193) = 1544 Sum = 4746.210714886740362 Averaged sum = 0.4741942966217144931 logp*logq = 19.54337928123599989 -------------- ************************************* p = 41; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 331639067.6077694972 -------------- Searches starting with [41,197]-exponents: u = 7, v = 7 n_start has 28 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(41,197) = 0.9818058882679810412 D2(41,197) = 0.06361299148976061966 C1(41,197) = 1.243234436728073760 C2(41,197) = 1.909523276159595208 C3(41,197) = 5.109575933846029869 C4(41,197) = 1576 Sum = 5078.449995626695080 Averaged sum = 0.5073883500476266440 logp*logq = 19.61955778974943717 -------------- ************************************* p = 41; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 344315497.0642625731 -------------- Searches starting with [41,199]-exponents: u = 7, v = 7 n_start has 28 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(41,199) = 0.6788723872223035660 D2(41,199) = 0.07533922053729054547 C1(41,199) = 1.066062723971662698 C2(41,199) = 1.923262106018412621 C3(41,199) = 4.049802634028760635 C4(41,199) = 1592 Sum = 4922.009525550456663 Averaged sum = 0.4917583700220258430 logp*logq = 19.65706893764801700 -------------- ************************************* p = 41; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 427947408.8343944959 -------------- Searches starting with [41,211]-exponents: u = 10, v = 2 n_start has 21 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(41,211) = 1.208555904809182927 D2(41,211) = 0.1387630535640725348 C1(41,211) = 1.615980300253037881 C2(41,211) = 1.853475068897653993 C3(41,211) = 8.332444222341225750 C4(41,211) = 1688 Sum = 6009.843994356287079 Averaged sum = 0.6004439998357765090 logp*logq = 19.87451086944097547 -------------- ************************************* p = 41; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 525532215.2331227902 -------------- Searches starting with [41,223]-exponents: u = 16, v = 2 n_start has 31 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(41,223) = 0.7024990324341432144 D2(41,223) = 0.1618673815150928895 C1(41,223) = 0.9110801363878944768 C2(41,223) = 1.434680311297269214 C3(41,223) = 3.304654357751368961 C4(41,223) = 1784 Sum = 4462.187882003611934 Averaged sum = 0.4458175524031983149 logp*logq = 20.07992205036634633 -------------- ************************************* p = 41; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 561399228.8019403516 -------------- Searches starting with [41,227]-exponents: u = 16, v = 2 n_start has 31 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(41,227) = 0.7939070996429228416 D2(41,227) = 0.07652117995815322622 C1(41,227) = 1.147716319178665170 C2(41,227) = 1.901084855648319072 C3(41,227) = 4.507745744981367699 C4(41,227) = 1816 Sum = 4928.945322322223478 Averaged sum = 0.4924513260387874391 logp*logq = 20.14594284818598328 -------------- ************************************* p = 41; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 579988161.8167076577 -------------- Searches starting with [41,229]-exponents: u = 19, v = 2 n_start has 36 digits starting right neighbors generation We generated 108 left neighbors We generated 9902 right neighbors We generated 10009 non-negative rho_i D1(41,229) = 0.6502401632464415611 D2(41,229) = 0.03327165666301070122 C1(41,229) = 0.8231281664779028140 C2(41,229) = 1.859904363687155965 C3(41,229) = 2.944501134717875569 C4(41,229) = 1832 Sum = 4764.010752870952086 Averaged sum = 0.4759726998572237073 logp*logq = 20.17851825063558989 -------------- ************************************* p = 41; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 618510134.7595954903 -------------- Searches starting with [41,233]-exponents: u = 22, v = 2 n_start has 41 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(41,233) = 0.7487859826735239794 D2(41,233) = 0.07565536592168407829 C1(41,233) = 0.9423568129137620210 C2(41,233) = 1.834801095999464052 C3(41,233) = 3.443080984236892528 C4(41,233) = 1864 Sum = 4956.955208056739375 Averaged sum = 0.4952497959892835823 logp*logq = 20.24282413569263264 -------------- ************************************* p = 41; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 679754370.3309009254 -------------- Searches starting with [41,239]-exponents: u = 28, v = 2 n_start has 50 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(41,239) = 0.7065812292164523866 D2(41,239) = 0.02654058479292185575 C1(41,239) = 0.8925980157723195340 C2(41,239) = 1.734327045658412666 C3(41,239) = 3.225485399920024767 C4(41,239) = 1912 Sum = 4968.515355907571612 Averaged sum = 0.4964047712965902299 logp*logq = 20.33724207077711438 -------------- ************************************* p = 41; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 701119347.5274907808 -------------- Searches starting with [41,241]-exponents: u = 31, v = 2 n_start has 55 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(41,241) = 0.8030936573710694645 D2(41,241) = 0.05624059216346933924 C1(41,241) = 1.033938063654326369 C2(41,241) = 1.718795086855196248 C3(41,241) = 3.882661136513811283 C4(41,241) = 1928 Sum = 5178.038461713464712 Averaged sum = 0.5173382417537680799 logp*logq = 20.36818868375634155 -------------- ************************************* p = 41; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 815382340.5023130694 -------------- Searches starting with [41,251]-exponents: u = 61, v = 2 n_start has 104 digits starting right neighbors generation We generated 841 left neighbors We generated 9169 right neighbors We generated 10009 non-negative rho_i D1(41,251) = 0.7648861597617607253 D2(41,251) = 0.01968839643398794025 C1(41,251) = 1.009001222618024686 C2(41,251) = 1.515396657459526876 C3(41,251) = 3.757687669840520152 C4(41,251) = 2008 Sum = 3902.541312965848474 Averaged sum = 0.3899032184000248250 logp*logq = 20.51916769064901056 -------------- ************************************* p = 41; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 890144124.2003468976 -------------- Searches starting with [41,257]-exponents: u = 130, v = 2 n_start has 215 digits starting right neighbors generation We generated 3677 left neighbors We generated 6333 right neighbors We generated 10009 non-negative rho_i D1(41,257) = 0.8490557955755591677 D2(41,257) = 0.002394175559890533496 C1(41,257) = 1.077910120080691899 C2(41,257) = 1.326687612325931561 C3(41,257) = 4.113243388770672414 C4(41,257) = 2056 Sum = 5024.939657536903973 Averaged sum = 0.5020421278386356253 logp*logq = 20.60689394488379037 -------------- ************************************* p = 41; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 969795289.3375032279 -------------- Searches starting with [41,263]-exponents: u = 3, v = 1033 n_start has 2505 digits --- performed 5000 steps in the continued fraction search [41,263]-exponents: u = 1065, v = 322 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,263) = 0.7443274300942820265 D2(41,263) = 0.5068837093209841027 C1(41,263) = 0.8772639909927156090 C2(41,263) = 1.391006608702323735 C3(41,263) = 3.161242980195271400 C4(41,263) = 2104 Sum = 6499.072632161975068 Averaged sum = 0.6499722604422417310 logp*logq = 20.69259556526912315 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,263) = 0.7443274300942820265 D2(41,263) = 0.5068837093209841027 C1(41,263) = 0.8772639909927156090 C2(41,263) = 1.391006608702323735 C3(41,263) = 3.161242980195271400 C4(41,263) = 2104 Sum = 6499.072632161975068 Averaged sum = 0.6499722604422417310 logp*logq = 20.69259556526912315 -------------- ************************************* p = 41; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1054533051.372969887 -------------- Searches starting with [41,269]-exponents: u = 3, v = 75 n_start has 188 digits starting right neighbors generation We generated 2662 left neighbors We generated 7348 right neighbors We generated 10009 non-negative rho_i D1(41,269) = 0.6570325418695447603 D2(41,269) = 0.01064497876786408209 C1(41,269) = 0.8383739853331192413 C2(41,269) = 1.366490647527233659 C3(41,269) = 3.003991292345509720 C4(41,269) = 2152 Sum = 5226.847966646840144 Averaged sum = 0.5222148033416765055 logp*logq = 20.77636390056211079 -------------- ************************************* p = 41; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1083943880.185737160 -------------- Searches starting with [41,271]-exponents: u = 3, v = 57 n_start has 144 digits starting right neighbors generation We generated 1597 left neighbors We generated 8413 right neighbors We generated 10009 non-negative rho_i D1(41,271) = 0.6999793031217349145 D2(41,271) = 0.004290917715253509776 C1(41,271) = 0.9045779238165824577 C2(41,271) = 1.428113853249329799 C3(41,271) = 3.276582704205908076 C4(41,271) = 2168 Sum = 5211.578402897437317 Averaged sum = 0.5206892199917511557 logp*logq = 20.80387196757733081 -------------- ************************************* p = 41; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1175776142.908344767 -------------- Searches starting with [41,277]-exponents: u = 3, v = 33 n_start has 86 digits starting right neighbors generation We generated 527 left neighbors We generated 9483 right neighbors We generated 10009 non-negative rho_i D1(41,277) = 0.7267124115896518219 D2(41,277) = 0.02952591120558996366 C1(41,277) = 0.9668565911591176689 C2(41,277) = 1.583060784649877335 C3(41,277) = 3.555551814544394274 C4(41,277) = 2216 Sum = 4880.810309589417489 Averaged sum = 0.4876421530212226485 logp*logq = 20.88519431363332183 -------------- ************************************* p = 41; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1240073392.373210695 -------------- Searches starting with [41,281]-exponents: u = 3, v = 27 n_start has 71 digits starting right neighbors generation We generated 364 left neighbors We generated 9646 right neighbors We generated 10009 non-negative rho_i D1(41,281) = 0.7678090640080190228 D2(41,281) = 0.05752811909337733086 C1(41,281) = 1.039083796032635367 C2(41,281) = 1.669058798764569425 C3(41,281) = 3.908962328638023217 C4(41,281) = 2248 Sum = 4090.434623138482480 Averaged sum = 0.4086756542250457069 logp*logq = 20.93843640220960230 -------------- ************************************* p = 41; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1273167724.506712778 -------------- Searches starting with [41,283]-exponents: u = 3, v = 23 n_start has 62 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(41,283) = 0.7839705638726626884 D2(41,283) = 0.05117938197500227826 C1(41,283) = 1.066730838061972598 C2(41,283) = 1.697658430519277608 C3(41,283) = 4.053354092764418372 C4(41,283) = 2264 Sum = 4580.043628896232775 Averaged sum = 0.4575925296129716031 logp*logq = 20.96477390315042078 -------------- ************************************* p = 41; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1448407240.640598088 -------------- Searches starting with [41,293]-exponents: u = 3, v = 15 n_start has 42 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(41,293) = 1.005251818682415794 D2(41,293) = 0.02096895034238084763 C1(41,293) = 1.410054001509049248 C2(41,293) = 1.814969300883444201 C3(41,293) = 6.359709628925712462 C4(41,293) = 2344 Sum = 4569.034970185145789 Averaged sum = 0.4564926536302473563 logp*logq = 21.09373033490471076 -------------- ************************************* p = 41; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1722533184.034463644 -------------- Searches starting with [41,307]-exponents: u = 3, v = 11 n_start has 33 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(41,307) = 0.7659964364456078196 D2(41,307) = 0.1365960152877226219 C1(41,307) = 0.9731234977165413500 C2(41,307) = 2.008745428348715225 C3(41,307) = 3.584906592336199396 C4(41,307) = 2456 Sum = 4805.836788972578227 Averaged sum = 0.4801515425089997229 logp*logq = 21.26706182570829781 -------------- ************************************* p = 41; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1807362843.679306505 -------------- Searches starting with [41,311]-exponents: u = 3, v = 9 n_start has 28 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(41,311) = 1.196270030251453587 D2(41,311) = 0.01139692428257416493 C1(41,311) = 1.750234448790330709 C2(41,311) = 1.977614816951608570 C3(41,311) = 9.937321385606087137 C4(41,311) = 2488 Sum = 4141.449244211974760 Averaged sum = 0.4137725291449670057 logp*logq = 21.31513462733617601 -------------- ************************************* p = 41; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1850903357.110194943 -------------- Searches starting with [41,313]-exponents: u = 3, v = 9 n_start has 28 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(41,313) = 0.8169255162274913122 D2(41,313) = 0.03504702195897229878 C1(41,313) = 1.031697247338319043 C2(41,313) = 2.002401490876780573 C3(41,313) = 3.871263116104757601 C4(41,313) = 2504 Sum = 4933.173599625822143 Averaged sum = 0.4928737735663724790 logp*logq = 21.33893965799708419 -------------- ************************************* p = 41; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1940277347.368499877 -------------- Searches starting with [41,317]-exponents: u = 3, v = 9 n_start has 28 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(41,317) = 0.7378495620059756960 D2(41,317) = 0.08576579402663072293 C1(41,317) = 0.9450162282078694124 C2(41,317) = 2.055371515425019029 C3(41,317) = 3.455115349898788608 C4(41,317) = 2536 Sum = 4981.559566454439496 Averaged sum = 0.4977080194279587866 logp*logq = 21.38609676236455726 -------------- ************************************* p = 41; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2278047894.407052153 -------------- Searches starting with [41,331]-exponents: u = 3, v = 7 n_start has 23 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(41,331) = 1.151500810475528752 D2(41,331) = 0.1195064217847522757 C1(41,331) = 1.620854040041208963 C2(41,331) = 1.902699432116803838 C3(41,331) = 8.385895233882121840 C4(41,331) = 2648 Sum = 4197.605245144504885 Averaged sum = 0.4193830797426820746 logp*logq = 21.54658472651204026 -------------- ************************************* p = 41; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2435206503.033592274 -------------- Searches starting with [41,337]-exponents: u = 3, v = 7 n_start has 23 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(41,337) = 0.6499527981443288129 D2(41,337) = 0.04748364506628060301 C1(41,337) = 0.8331804708748442888 C2(41,337) = 2.156322006517756332 C3(41,337) = 2.983592090742191857 C4(41,337) = 2696 Sum = 4891.147859190669336 Averaged sum = 0.4886749784384723085 logp*logq = 21.61329739605908386 -------------- ************************************* p = 41; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2714542076.656483237 -------------- Searches starting with [41,347]-exponents: u = 11, v = 5 n_start has 31 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(41,347) = 0.7352934843832755813 D2(41,347) = 0.07106963644144322746 C1(41,347) = 0.9681366999606606919 C2(41,347) = 2.003412096408377052 C3(41,347) = 3.561528364734485873 C4(41,347) = 2776 Sum = 4861.651960834642120 Averaged sum = 0.4857280408467021801 logp*logq = 21.72188911189197835 -------------- ************************************* p = 41; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2773099650.254189669 -------------- Searches starting with [41,349]-exponents: u = 11, v = 5 n_start has 31 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(41,349) = 0.7349280720554142618 D2(41,349) = 0.06456227379043633907 C1(41,349) = 0.9945873183234905342 C2(41,349) = 1.998126460022325201 C3(41,349) = 3.687293895894097529 C4(41,349) = 2792 Sum = 4304.729124802928719 Averaged sum = 0.4300858352285871434 logp*logq = 21.74323153883563156 -------------- ************************************* p = 41; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2892976981.937588228 -------------- Searches starting with [41,353]-exponents: u = 11, v = 5 n_start has 31 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(41,353) = 0.8273535502726951584 D2(41,353) = 0.05194433574079211924 C1(41,353) = 1.058733340302903723 C2(41,353) = 1.987930642311615192 C3(41,353) = 4.011045932982679301 C4(41,353) = 2824 Sum = 5064.909942704240888 Averaged sum = 0.5060355622643861412 logp*logq = 21.78555190644058773 -------------- ************************************* p = 41; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3079834446.362195088 -------------- Searches starting with [41,359]-exponents: u = 19, v = 5 n_start has 44 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(41,359) = 0.9899969465324613019 D2(41,359) = 0.03094660237120470292 C1(41,359) = 1.252460738454513288 C2(41,359) = 1.800150672813273668 C3(41,359) = 5.171802469724168458 C4(41,359) = 2872 Sum = 5181.455726967632329 Averaged sum = 0.5176796610018615575 logp*logq = 21.84814168130614226 -------------- ************************************* p = 41; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3342506470.338908614 -------------- Searches starting with [41,367]-exponents: u = 27, v = 5 n_start has 57 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(41,367) = 0.7717866290651355803 D2(41,367) = 0.009784447866231199247 C1(41,367) = 0.9931294881981283255 C2(41,367) = 1.678181301148852353 C3(41,367) = 3.680248079239324739 C4(41,367) = 2936 Sum = 4814.927509273910767 Averaged sum = 0.4810597971099920838 logp*logq = 21.92998680271678104 -------------- ************************************* p = 41; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3549981431.967309255 -------------- Searches starting with [41,373]-exponents: u = 51, v = 5 n_start has 96 digits starting right neighbors generation We generated 1040 left neighbors We generated 8970 right neighbors We generated 10009 non-negative rho_i D1(41,373) = 1.122918095607674908 D2(41,373) = 0.04260883576765330283 C1(41,373) = 1.484230766224417633 C2(41,373) = 1.818368697232583557 C3(41,373) = 7.009751199068534276 C4(41,373) = 2984 Sum = 6000.798045149187868 Averaged sum = 0.5995402183184321978 logp*logq = 21.99020820998831296 -------------- ************************************* p = 41; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3766713080.734604680 -------------- Searches starting with [41,379]-exponents: u = 283, v = 5 n_start has 470 digits --- performed 5000 steps in the continued fraction search [41,379]-exponents: u = 95, v = 104 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,379) = 0.8340957083741357975 D2(41,379) = 0.2491878453506376538 C1(41,379) = 1.027938424521844136 C2(41,379) = 1.435055008799858125 C3(41,379) = 3.852218771228483880 C4(41,379) = 3032 Sum = 5564.002433230890621 Averaged sum = 0.5564558889119802602 logp*logq = 22.04946859623959880 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,379) = 0.8340957083741357975 D2(41,379) = 0.2491878453506376538 C1(41,379) = 1.027938424521844136 C2(41,379) = 1.435055008799858125 C3(41,379) = 3.852218771228483880 C4(41,379) = 3032 Sum = 5564.002433230890621 Averaged sum = 0.5564558889119802602 logp*logq = 22.04946859623959880 -------------- ************************************* p = 41; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3916470049.971407317 -------------- Searches starting with [41,383]-exponents: u = 8, v = 113 n_start has 305 digits --- performed 5000 steps in the continued fraction search [41,383]-exponents: u = 24, v = 71 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,383) = 0.6296377151217022617 D2(41,383) = 0.06322761398672271067 C1(41,383) = 0.8287139588212496574 C2(41,383) = 1.521277510262542400 C3(41,383) = 2.966159255950186075 C4(41,383) = 3064 Sum = 5349.356455804574733 Averaged sum = 0.5349891444949069640 logp*logq = 22.08845658760110664 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,383) = 0.6296377151217022617 D2(41,383) = 0.06322761398672271067 C1(41,383) = 0.8287139588212496574 C2(41,383) = 1.521277510262542400 C3(41,383) = 2.966159255950186075 C4(41,383) = 3064 Sum = 5349.356455804574733 Averaged sum = 0.5349891444949069640 logp*logq = 22.08845658760110664 -------------- ************************************* p = 41; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4149201188.805411361 -------------- Searches starting with [41,389]-exponents: u = 8, v = 33 n_start has 99 digits starting right neighbors generation We generated 686 left neighbors We generated 9324 right neighbors We generated 10009 non-negative rho_i D1(41,389) = 0.8246634399025478005 D2(41,389) = 0.006009525671092735794 C1(41,389) = 1.017543218633487544 C2(41,389) = 1.501943690359960086 C3(41,389) = 3.800037124622770010 C4(41,389) = 3112 Sum = 3862.045986235925429 Averaged sum = 0.3858573270292662033 logp*logq = 22.14618166803627299 -------------- ************************************* p = 41; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4475028784.300293207 -------------- Searches starting with [41,397]-exponents: u = 8, v = 13 n_start has 47 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(41,397) = 0.8656310961257961759 D2(41,397) = 0.03506720529344983728 C1(41,397) = 1.202905593159819747 C2(41,397) = 1.795327706945025196 C3(41,397) = 4.846249966138823179 C4(41,397) = 3176 Sum = 4051.172197697487808 Averaged sum = 0.4047529421218391256 logp*logq = 22.22177862089841862 -------------- ************************************* p = 41; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4644770153.141157244 -------------- Searches starting with [41,401]-exponents: u = 8, v = 13 n_start has 47 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(41,401) = 0.8457791345676571856 D2(41,401) = 0.04959549912203255251 C1(41,401) = 1.091181441509986800 C2(41,401) = 1.811767998899252605 C3(41,401) = 4.185489909046762673 C4(41,401) = 3208 Sum = 4631.736466031883833 Averaged sum = 0.4627571651545492889 logp*logq = 22.25900772534875876 -------------- ************************************* p = 41; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4998304643.570203499 -------------- Searches starting with [41,409]-exponents: u = 8, v = 8 n_start has 34 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(41,409) = 0.7470998351141818203 D2(41,409) = 0.08676119678997979865 C1(41,409) = 1.025060829037472756 C2(41,409) = 2.004186810025954379 C3(41,409) = 3.837702567465228122 C4(41,409) = 3272 Sum = 4400.037160514198595 Averaged sum = 0.4396080687895093012 logp*logq = 22.33236462059688618 -------------- ************************************* p = 41; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5467398743.241664049 -------------- Searches starting with [41,419]-exponents: u = 13, v = 3 n_start has 29 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(41,419) = 0.9327362903302696721 D2(41,419) = 0.08165458889355043435 C1(41,419) = 1.409839135176991519 C2(41,419) = 1.279356496753305996 C3(41,419) = 6.357917057906861602 C4(41,419) = 3352 Sum = 4703.276714624121091 Averaged sum = 0.4699047571809492548 logp*logq = 22.42206879058909318 -------------- ************************************* p = 41; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5564942563.036944456 -------------- Searches starting with [41,421]-exponents: u = 13, v = 3 n_start has 29 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(41,421) = 0.7457579913893710977 D2(41,421) = 0.1014003187597081815 C1(41,421) = 0.9601216078532598086 C2(41,421) = 1.490158485046616220 C3(41,421) = 3.524272436740778418 C4(41,421) = 3368 Sum = 5049.615238973003917 Averaged sum = 0.5045074671768412346 logp*logq = 22.43975250051318901 -------------- ************************************* p = 41; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6071852330.625461308 -------------- Searches starting with [41,431]-exponents: u = 13, v = 3 n_start has 29 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(41,431) = 0.7680108593356905803 D2(41,431) = 0.03661120119346042548 C1(41,431) = 1.026919478539389732 C2(41,431) = 2.053991131924488512 C3(41,431) = 3.847072368486007498 C4(41,431) = 3448 Sum = 4030.208006376839896 Averaged sum = 0.4026584080704206110 logp*logq = 22.52692955701829609 -------------- ************************************* p = 41; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6177145144.761131889 -------------- Searches starting with [41,433]-exponents: u = 13, v = 3 n_start has 29 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(41,433) = 0.6407161821342974486 D2(41,433) = 0.02439279314618336269 C1(41,433) = 0.8299311099904617055 C2(41,433) = 2.042837694435859840 C3(41,433) = 2.970899685752200352 C4(41,433) = 3464 Sum = 4467.488741893573835 Averaged sum = 0.4463471617437879743 logp*logq = 22.54412205099802023 -------------- ************************************* p = 41; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6501033883.989208221 -------------- Searches starting with [41,439]-exponents: u = 18, v = 3 n_start has 37 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(41,439) = 0.6400985524917367566 D2(41,439) = 0.1645208311809599567 C1(41,439) = 0.8334326291590943399 C2(41,439) = 2.053676311593577732 C3(41,439) = 2.984579316448526188 C4(41,439) = 3512 Sum = 4732.456775642558124 Averaged sum = 0.4728201394387609276 logp*logq = 22.59522706027471190 -------------- ************************************* p = 41; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6723740674.176523951 -------------- Searches starting with [41,443]-exponents: u = 18, v = 3 n_start has 37 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(41,443) = 0.7189489264704401301 D2(41,443) = 0.1168953019708941791 C1(41,443) = 0.9457587053543832699 C2(41,443) = 2.008044269734446437 C3(41,443) = 3.458482706528558019 C4(41,443) = 3544 Sum = 4669.869519382936723 Averaged sum = 0.4665670416008529047 logp*logq = 22.62891048455340801 -------------- ************************************* p = 41; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7068185291.742584213 -------------- Searches starting with [41,449]-exponents: u = 23, v = 3 n_start has 46 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(41,449) = 0.7910471317963532987 D2(41,449) = 0.05583575463567058147 C1(41,449) = 1.032179469192210472 C2(41,449) = 1.949941092588424604 C3(41,449) = 3.873713131960644829 C4(41,449) = 3592 Sum = 4966.361936350730952 Averaged sum = 0.4961896229743961387 logp*logq = 22.67886960664351323 -------------- ************************************* p = 41; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7547280659.910397697 -------------- Searches starting with [41,457]-exponents: u = 28, v = 3 n_start has 54 digits starting right neighbors generation We generated 213 left neighbors We generated 9797 right neighbors We generated 10009 non-negative rho_i D1(41,457) = 0.6106691477823348235 D2(41,457) = 0.08034183062606587718 C1(41,457) = 0.7760637669339483511 C2(41,457) = 1.886327481138238518 C3(41,457) = 2.768183109694079226 C4(41,457) = 3656 Sum = 4823.741114645404734 Averaged sum = 0.4819403651359181471 logp*logq = 22.74445315783253964 -------------- ************************************* p = 41; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7795524675.683544224 -------------- Searches starting with [41,461]-exponents: u = 33, v = 3 n_start has 62 digits starting right neighbors generation We generated 324 left neighbors We generated 9686 right neighbors We generated 10009 non-negative rho_i D1(41,461) = 0.6129550454907564648 D2(41,461) = 0.03200875787409019420 C1(41,461) = 0.7843756064792995282 C2(41,461) = 1.839838954033980330 C3(41,461) = 2.798535580710253180 C4(41,461) = 3688 Sum = 4807.457064909641958 Averaged sum = 0.4803134244089960993 logp*logq = 22.77681564645122098 -------------- ************************************* p = 41; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7921859028.977701863 -------------- Searches starting with [41,463]-exponents: u = 38, v = 3 n_start has 70 digits starting right neighbors generation We generated 450 left neighbors We generated 9560 right neighbors We generated 10009 non-negative rho_i D1(41,463) = 1.094472861424135297 D2(41,463) = 0.009995341741778019032 C1(41,463) = 1.394934250673542854 C2(41,463) = 1.818741766665963492 C3(41,463) = 6.234794968036300715 C4(41,463) = 3704 Sum = 5369.216592516200530 Averaged sum = 0.5364388642737736567 logp*logq = 22.79289174110995907 -------------- ************************************* p = 41; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8179007470.271737107 -------------- Searches starting with [41,467]-exponents: u = 43, v = 3 n_start has 78 digits starting right neighbors generation We generated 518 left neighbors We generated 9492 right neighbors We generated 10009 non-negative rho_i D1(41,467) = 0.9329416491583505419 D2(41,467) = 0.02472727821486811368 C1(41,467) = 1.249129853826956080 C2(41,467) = 1.766191937584531194 C3(41,467) = 5.149250481497350820 C4(41,467) = 3736 Sum = 5218.576192773578623 Averaged sum = 0.5213883697445877333 logp*logq = 22.82483664404664099 -------------- ************************************* p = 41; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8987090023.093421529 -------------- Searches starting with [41,479]-exponents: u = 113, v = 3 n_start has 191 digits starting right neighbors generation We generated 3314 left neighbors We generated 6696 right neighbors We generated 10009 non-negative rho_i D1(41,479) = 0.7441486463063711013 D2(41,479) = 0.006731112423360848489 C1(41,479) = 0.9487993068355942350 C2(41,479) = 1.531410718386757822 C3(41,479) = 3.472307020243935566 C4(41,479) = 3832 Sum = 5149.507539994174340 Averaged sum = 0.5144877150558671536 logp*logq = 22.91905494260746363 -------------- ************************************* p = 41; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9557239708.215522990 -------------- Searches starting with [41,487]-exponents: u = 2013, v = 3 n_start has 3255 digits --- performed 5000 steps in the continued fraction search [41,487]-exponents: u = 1184, v = 498 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,487) = 0.6720272240640472983 D2(41,487) = 0.5324728176912149089 C1(41,487) = 0.7879272682641430920 C2(41,487) = 1.459548340219299801 C3(41,487) = 2.811606514320465098 C4(41,487) = 3896 Sum = 6484.490650517468067 Averaged sum = 0.6485139164433911458 logp*logq = 22.98056478886793397 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,487) = 0.6720272240640472983 D2(41,487) = 0.5324728176912149089 C1(41,487) = 0.7879272682641430920 C2(41,487) = 1.459548340219299801 C3(41,487) = 2.811606514320465098 C4(41,487) = 3896 Sum = 6484.490650517468067 Averaged sum = 0.6485139164433911458 logp*logq = 22.98056478886793397 -------------- ************************************* p = 41; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9852014863.398172108 -------------- Searches starting with [41,491]-exponents: u = 5, v = 172 n_start has 471 digits --- performed 5000 steps in the continued fraction search [41,491]-exponents: u = 218, v = 26 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,491) = 0.7155506634861099566 D2(41,491) = 0.1638749245029454145 C1(41,491) = 0.8814314572716287357 C2(41,491) = 1.390504159984387606 C3(41,491) = 3.178575022249591557 C4(41,491) = 3928 Sum = 5525.201990887536165 Averaged sum = 0.5525754566344170581 logp*logq = 23.01094182587166976 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,491) = 0.7155506634861099566 D2(41,491) = 0.1638749245029454145 C1(41,491) = 0.8814314572716287357 C2(41,491) = 1.390504159984387606 C3(41,491) = 3.178575022249591557 C4(41,491) = 3928 Sum = 5525.201990887536165 Averaged sum = 0.5525754566344170581 logp*logq = 23.01094182587166976 -------------- ************************************* p = 41; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10461424362.33296658 -------------- Searches starting with [41,499]-exponents: u = 5, v = 52 n_start has 149 digits starting right neighbors generation We generated 1982 left neighbors We generated 8028 right neighbors We generated 10009 non-negative rho_i D1(41,499) = 0.6345233392549486431 D2(41,499) = 0.01499228283053297279 C1(41,499) = 0.8209368327353826829 C2(41,499) = 1.607390935577725834 C3(41,499) = 2.936047800766374332 C4(41,499) = 3992 Sum = 4539.721083392158675 Averaged sum = 0.4535639008284702442 logp*logq = 23.07096045861974795 -------------- ************************************* p = 41; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10776243734.79116630 -------------- Searches starting with [41,503]-exponents: u = 5, v = 37 n_start has 109 digits starting right neighbors generation We generated 1015 left neighbors We generated 8995 right neighbors We generated 10009 non-negative rho_i D1(41,503) = 0.7689151821914377815 D2(41,503) = 0.02063149959041401054 C1(41,503) = 1.008840517349908364 C2(41,503) = 1.687276238382661297 C3(41,503) = 3.756895466012642714 C4(41,503) = 4024 Sum = 5059.872765848210212 Averaged sum = 0.5055322975170556711 logp*logq = 23.10060989409779015 -------------- ************************************* p = 41; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11261378328.51687466 -------------- Searches starting with [41,509]-exponents: u = 5, v = 28 n_start has 84 digits starting right neighbors generation We generated 652 left neighbors We generated 9358 right neighbors We generated 10009 non-negative rho_i D1(41,509) = 0.6807483805254289578 D2(41,509) = 0.007052899276438181631 C1(41,509) = 0.9127335007446391673 C2(41,509) = 1.781094776200987175 C3(41,509) = 3.311830609432391833 C4(41,509) = 4072 Sum = 4360.845942499804359 Averaged sum = 0.4356924710260569846 logp*logq = 23.14464486144868871 -------------- ************************************* p = 41; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12279273680.03973015 -------------- Searches starting with [41,521]-exponents: u = 5, v = 16 n_start has 52 digits starting right neighbors generation We generated 203 left neighbors We generated 9807 right neighbors We generated 10009 non-negative rho_i D1(41,521) = 1.271610849556480856 D2(41,521) = 0.05694904298099397194 C1(41,521) = 1.573549192290508326 C2(41,521) = 1.909643269179379069 C3(41,521) = 7.881257467034730090 C4(41,521) = 4168 Sum = 4529.113174486278994 Averaged sum = 0.4525040637912158052 logp*logq = 23.23117861133961062 -------------- ************************************* p = 41; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12455235259.12452097 -------------- Searches starting with [41,523]-exponents: u = 5, v = 16 n_start has 52 digits starting right neighbors generation We generated 203 left neighbors We generated 9807 right neighbors We generated 10009 non-negative rho_i D1(41,523) = 0.7729218608436064104 D2(41,523) = 0.07696617454146124675 C1(41,523) = 1.021622583054336545 C2(41,523) = 1.930301453500519152 C3(41,523) = 3.820429836465558244 C4(41,523) = 4184 Sum = 4562.103516973982060 Averaged sum = 0.4558001315789771266 logp*logq = 23.24540687421155257 -------------- ************************************* p = 41; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14122936827.24660269 -------------- Searches starting with [41,541]-exponents: u = 5, v = 10 n_start has 36 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(41,541) = 0.7153126534206793193 D2(41,541) = 0.09607658216149788044 C1(41,541) = 0.9000035740238502804 C2(41,541) = 2.057104585744601987 C3(41,541) = 3.256977116271863119 C4(41,541) = 4328 Sum = 4628.980550277120725 Averaged sum = 0.4624818213884624563 logp*logq = 23.37106603798266279 -------------- ************************************* p = 41; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14713407187.60742849 -------------- Searches starting with [41,547]-exponents: u = 5, v = 10 n_start has 36 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(41,547) = 1.343708091816512125 D2(41,547) = 0.1443111181216445309 C1(41,547) = 1.754605174904072722 C2(41,547) = 2.107284482486249146 C3(41,547) = 9.994469335093979402 C4(41,547) = 4376 Sum = 5064.859026770608019 Averaged sum = 0.5060304752493363991 logp*logq = 23.41202496864169504 -------------- ************************************* p = 41; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15737333633.35706350 -------------- Searches starting with [41,557]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(41,557) = 0.7141367401319993269 D2(41,557) = 0.1551069829534436815 C1(41,557) = 0.9402850078643631986 C2(41,557) = 1.990271880453788248 C3(41,557) = 3.433734722555088196 C4(41,557) = 4456 Sum = 4066.180052851658955 Averaged sum = 0.4062523781448355435 logp*logq = 23.47930166490958185 -------------- ************************************* p = 41; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16376124988.35806784 -------------- Searches starting with [41,563]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(41,563) = 0.7624367303873817438 D2(41,563) = 0.01601280808243681572 C1(41,563) = 1.059526575085065341 C2(41,563) = 2.136403916130980444 C3(41,563) = 4.015222479473316420 C4(41,563) = 4504 Sum = 4447.717619287884126 Averaged sum = 0.4443718272842326033 logp*logq = 23.51909031768700001 -------------- ************************************* p = 41; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17033659170.41453506 -------------- Searches starting with [41,569]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(41,569) = 1.135166309967304998 D2(41,569) = 0.03859918767877756954 C1(41,569) = 1.536219631086725351 C2(41,569) = 2.161018812522439417 C3(41,569) = 7.504563476925321629 C4(41,569) = 4552 Sum = 5255.327648717156501 Averaged sum = 0.5250602106821017585 logp*logq = 23.55845717468354012 -------------- ************************************* p = 41; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17257061612.20829076 -------------- Searches starting with [41,571]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(41,571) = 0.6221906100654745445 D2(41,571) = 0.04631645221439923378 C1(41,571) = 0.7857668850221004856 C2(41,571) = 2.169407398182938002 C3(41,571) = 2.803648551087785932 C4(41,571) = 4568 Sum = 4778.076729071768441 Averaged sum = 0.4773780326777668539 logp*logq = 23.57148726547889276 -------------- ************************************* p = 41; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17940121128.40816081 -------------- Searches starting with [41,577]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(41,577) = 0.7426293943752077282 D2(41,577) = 0.06956224781387629968 C1(41,577) = 1.134932315512278882 C2(41,577) = 1.472281736081196130 C3(41,577) = 4.432769928267048844 C4(41,577) = 4616 Sum = 4891.458926211954281 Averaged sum = 0.4887060571697426597 logp*logq = 23.61030544541648382 -------------- ************************************* p = 41; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19122167391.86414178 -------------- Searches starting with [41,587]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(41,587) = 0.9474860973126502237 D2(41,587) = 0.07164164070175579872 C1(41,587) = 1.215699470783301279 C2(41,587) = 2.136770423173174835 C3(41,587) = 4.928283222590480624 C4(41,587) = 4696 Sum = 5467.302577931316367 Averaged sum = 0.5462386430144186599 logp*logq = 23.67411409546028162 -------------- ************************************* p = 41; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19858134539.13931503 -------------- Searches starting with [41,593]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(41,593) = 0.6165753872860327035 D2(41,593) = 0.05453441332973139397 C1(41,593) = 0.7930092130634490820 C2(41,593) = 2.121890448983550928 C3(41,593) = 2.830415485486647921 C4(41,593) = 4744 Sum = 4538.171010875702912 Averaged sum = 0.4534090329579081738 logp*logq = 23.71187956059475388 -------------- ************************************* p = 41; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20614588259.12971246 -------------- Searches starting with [41,599]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(41,599) = 1.076453829610116906 D2(41,599) = 0.03823449396650740283 C1(41,599) = 1.487731641845733382 C2(41,599) = 2.107794944195408258 C3(41,599) = 7.042021943104151545 C4(41,599) = 4792 Sum = 3785.858944366269191 Averaged sum = 0.3782454735104674983 logp*logq = 23.74926483002828360 -------------- ************************************* p = 41; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20871353609.69596344 -------------- Searches starting with [41,601]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(41,601) = 0.7409663997204626517 D2(41,601) = 0.03296579625049813439 C1(41,601) = 0.9469957574706920040 C2(41,601) = 2.103256055966947540 C3(41,601) = 3.464100399638872174 C4(41,601) = 4808 Sum = 4624.650549147495975 Averaged sum = 0.4620492106251869292 logp*logq = 23.76164341504562591 -------------- ************************************* p = 41; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21655677715.43413784 -------------- Searches starting with [41,607]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(41,607) = 0.6381948101215866660 D2(41,607) = 0.01761483141665265252 C1(41,607) = 0.9226518035393702159 C2(41,607) = 2.090079767122581264 C3(41,607) = 3.355208272720180183 C4(41,607) = 4856 Sum = 4768.850930949181180 Averaged sum = 0.4764562824407214687 logp*logq = 23.79853350714888013 -------------- ************************************* p = 41; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22461324140.26490323 -------------- Searches starting with [41,613]-exponents: u = 19, v = 4 n_start has 42 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(41,613) = 0.7278679374698407775 D2(41,613) = 0.002664244837316915976 C1(41,613) = 1.052194080507916009 C2(41,613) = 1.911528375643576612 C3(41,613) = 3.976780480035150716 C4(41,613) = 4904 Sum = 4511.443581936490443 Averaged sum = 0.4507386933696163896 logp*logq = 23.83506074000709872 -------------- ************************************* p = 41; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23010446361.86157887 -------------- Searches starting with [41,617]-exponents: u = 19, v = 4 n_start has 42 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(41,617) = 0.7274671830203794578 D2(41,617) = 0.1517115986536357928 C1(41,617) = 0.9309138491721191322 C2(41,617) = 2.060335454062900619 C3(41,617) = 3.391775745708473491 C4(41,617) = 4936 Sum = 4871.561987869269367 Averaged sum = 0.4867181524497221867 logp*logq = 23.85921413940881980 -------------- ************************************* p = 41; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23288655312.26538993 -------------- Searches starting with [41,619]-exponents: u = 19, v = 4 n_start has 42 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(41,619) = 0.7623689481728665892 D2(41,619) = 0.1369523840746239808 C1(41,619) = 1.025125015290139897 C2(41,619) = 2.046254245906960741 C3(41,619) = 3.838025761656890776 C4(41,619) = 4952 Sum = 4164.037665272777316 Averaged sum = 0.4160293401211686797 logp*logq = 23.87123218247619362 -------------- ************************************* p = 41; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25009834304.19769384 -------------- Searches starting with [41,631]-exponents: u = 26, v = 4 n_start has 54 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(41,631) = 0.7573325241464890857 D2(41,631) = 0.06004469723576980468 C1(41,631) = 0.9631219486598086918 C2(41,631) = 1.973368562339883635 C3(41,631) = 3.538172828935223816 C4(41,631) = 5048 Sum = 4691.117691122432032 Averaged sum = 0.4686899481589001930 logp*logq = 23.94253495663197279 -------------- ************************************* p = 41; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26513653336.61192664 -------------- Searches starting with [41,641]-exponents: u = 40, v = 4 n_start has 76 digits starting right neighbors generation We generated 581 left neighbors We generated 9429 right neighbors We generated 10009 non-negative rho_i D1(41,641) = 1.000631241038705945 D2(41,641) = 0.006693670771650253410 C1(41,641) = 1.253170189814110317 C2(41,641) = 1.923310447240787532 C3(41,641) = 5.176618604331436319 C4(41,641) = 5128 Sum = 4723.036307948848972 Averaged sum = 0.4718789397491106976 logp*logq = 24.00092565750771272 -------------- ************************************* p = 41; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26822164793.83068286 -------------- Searches starting with [41,643]-exponents: u = 47, v = 4 n_start has 88 digits starting right neighbors generation We generated 704 left neighbors We generated 9306 right neighbors We generated 10009 non-negative rho_i D1(41,643) = 0.6796796414372390199 D2(41,643) = 0.05597914754782798835 C1(41,643) = 0.8581262877073737720 C2(41,643) = 1.866247205534491514 C3(41,643) = 3.082856930978210949 C4(41,643) = 5144 Sum = 4721.123393480993262 Averaged sum = 0.4716878203098204877 logp*logq = 24.01249442719625269 -------------- ************************************* p = 41; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27447046549.70569894 -------------- Searches starting with [41,647]-exponents: u = 61, v = 4 n_start has 110 digits starting right neighbors generation We generated 1204 left neighbors We generated 8806 right neighbors We generated 10009 non-negative rho_i D1(41,647) = 1.007733046882649354 D2(41,647) = 0.02407253562674546126 C1(41,647) = 1.329353216031369340 C2(41,647) = 1.835590708185657809 C3(41,647) = 5.720771965016781300 C4(41,647) = 5176 Sum = 3962.346776790171985 Averaged sum = 0.3958783871305996588 logp*logq = 24.03552440529567775 -------------- ************************************* p = 41; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28404226045.73133271 -------------- Searches starting with [41,653]-exponents: u = 89, v = 4 n_start has 155 digits starting right neighbors generation We generated 2427 left neighbors We generated 7583 right neighbors We generated 10009 non-negative rho_i D1(41,653) = 0.7004597271823501908 D2(41,653) = 0.009177733981581692415 C1(41,653) = 0.9018046336864088515 C2(41,653) = 1.745948558793677477 C3(41,653) = 3.264682387826708927 C4(41,653) = 5224 Sum = 4986.551727685419124 Averaged sum = 0.4982067866605474197 logp*logq = 24.06980377547045053 -------------- ************************************* p = 41; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29385571056.52907170 -------------- Searches starting with [41,659]-exponents: u = 201, v = 4 n_start has 336 digits --- performed 5000 steps in the continued fraction search [41,659]-exponents: u = 113, v = 26 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,659) = 0.7939842191190478195 D2(41,659) = 0.05261897677783722287 C1(41,659) = 0.9904094173532997804 C2(41,659) = 1.518303793026448682 C3(41,659) = 3.667137721868691901 C4(41,659) = 5272 Sum = 5254.522513031763586 Averaged sum = 0.5255048017833546940 logp*logq = 24.10376961042876525 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,659) = 0.7939842191190478195 D2(41,659) = 0.05261897677783722287 C1(41,659) = 0.9904094173532997804 C2(41,659) = 1.518303793026448682 C3(41,659) = 3.667137721868691901 C4(41,659) = 5272 Sum = 5254.522513031763586 Averaged sum = 0.5255048017833546940 logp*logq = 24.10376961042876525 -------------- ************************************* p = 41; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29718122080.20467205 -------------- Searches starting with [41,661]-exponents: u = 320, v = 4 n_start has 528 digits --- performed 5000 steps in the continued fraction search [41,661]-exponents: u = 232, v = 38 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,661) = 0.6030148747688369732 D2(41,661) = 0.2397903453185939136 C1(41,661) = 0.7401695233507650491 C2(41,661) = 1.476964491520812066 C3(41,661) = 2.640842902044829187 C4(41,661) = 5288 Sum = 5520.856352853194248 Averaged sum = 0.5521408493702564505 logp*logq = 24.11502286772706128 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,661) = 0.6030148747688369732 D2(41,661) = 0.2397903453185939136 C1(41,661) = 0.7401695233507650491 C2(41,661) = 1.476964491520812066 C3(41,661) = 2.640842902044829187 C4(41,661) = 5288 Sum = 5520.856352853194248 Averaged sum = 0.5521408493702564505 logp*logq = 24.11502286772706128 -------------- ************************************* p = 41; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31771502007.78282143 -------------- Searches starting with [41,673]-exponents: u = 7, v = 69 n_start has 207 digits starting right neighbors generation We generated 4256 left neighbors We generated 5754 right neighbors We generated 10009 non-negative rho_i D1(41,673) = 0.6315240593879329007 D2(41,673) = 0.01479997924476207489 C1(41,673) = 0.8022888485321879803 C2(41,673) = 1.671749036812800956 C3(41,673) = 2.865085932970375367 C4(41,673) = 5384 Sum = 4971.570518690672049 Averaged sum = 0.4967100128574954590 logp*logq = 24.18183556166089593 -------------- ************************************* p = 41; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32478428876.73223613 -------------- Searches starting with [41,677]-exponents: u = 7, v = 49 n_start has 150 digits starting right neighbors generation We generated 2305 left neighbors We generated 7705 right neighbors We generated 10009 non-negative rho_i D1(41,677) = 1.151618468805668509 D2(41,677) = 0.004451473982209259599 C1(41,677) = 1.490819271414259041 C2(41,677) = 1.780439440417009725 C3(41,677) = 7.070606695978021039 C4(41,677) = 5416 Sum = 4464.533336265533200 Averaged sum = 0.4460518869283178339 logp*logq = 24.20384197904813362 -------------- ************************************* p = 41; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33560278060.71711646 -------------- Searches starting with [41,683]-exponents: u = 7, v = 33 n_start has 105 digits starting right neighbors generation We generated 1121 left neighbors We generated 8889 right neighbors We generated 10009 non-negative rho_i D1(41,683) = 0.8093285410303929545 D2(41,683) = 0.006312422779122495082 C1(41,683) = 1.070839410309301122 C2(41,683) = 1.872645953945655966 C3(41,683) = 4.075262380724935388 C4(41,683) = 5464 Sum = 3732.953496238827074 Averaged sum = 0.3729596859065667973 logp*logq = 24.23660900399133999 -------------- ************************************* p = 41; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35043410074.27348944 -------------- Searches starting with [41,691]-exponents: u = 7, v = 21 n_start has 71 digits starting right neighbors generation We generated 452 left neighbors We generated 9558 right neighbors We generated 10009 non-negative rho_i D1(41,691) = 0.7274469892381955184 D2(41,691) = 0.05521399705027256009 C1(41,691) = 0.9251156387498319113 C2(41,691) = 1.923510504514392825 C3(41,691) = 3.366071658279503109 C4(41,691) = 5528 Sum = 4834.710501541672896 Averaged sum = 0.4830363174684456884 logp*logq = 24.27985341775064470 -------------- ************************************* p = 41; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36963998269.31283348 -------------- Searches starting with [41,701]-exponents: u = 7, v = 17 n_start has 60 digits starting right neighbors generation We generated 357 left neighbors We generated 9653 right neighbors We generated 10009 non-negative rho_i D1(41,701) = 0.8963198057320767440 D2(41,701) = 0.01582009432594650560 C1(41,701) = 1.242083775716388002 C2(41,701) = 2.016967469923999646 C3(41,701) = 5.101868027932766278 C4(41,701) = 5608 Sum = 3335.254389005644116 Averaged sum = 0.3332255359182379974 logp*logq = 24.33321025615131977 -------------- ************************************* p = 41; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38554957704.45835682 -------------- Searches starting with [41,709]-exponents: u = 7, v = 13 n_start has 49 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(41,709) = 0.7513375197260993639 D2(41,709) = 0.04392372023366878907 C1(41,709) = 0.9789549730943916870 C2(41,709) = 2.047137795277675950 C3(41,709) = 3.612439408812594546 C4(41,709) = 5672 Sum = 4319.680583290528885 Averaged sum = 0.4315796366560624323 logp*logq = 24.37535053321240520 -------------- ************************************* p = 41; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40613330889.27757711 -------------- Searches starting with [41,719]-exponents: u = 7, v = 9 n_start has 38 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(41,719) = 0.7551224892107872480 D2(41,719) = 0.08139258710239830238 C1(41,719) = 0.9951760655161514389 C2(41,719) = 2.087156827373811864 C3(41,719) = 3.690143183393985899 C4(41,719) = 5752 Sum = 4223.173158829454123 Averaged sum = 0.4219375720680841366 logp*logq = 24.42736219668655149 -------------- ************************************* p = 41; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42316940037.78219941 -------------- Searches starting with [41,727]-exponents: u = 7, v = 9 n_start has 38 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(41,727) = 0.8600051143905032516 D2(41,727) = 0.1137066227596947697 C1(41,727) = 1.141569361651172374 C2(41,727) = 2.121485072480574416 C3(41,727) = 4.471537999412256344 C4(41,727) = 5816 Sum = 4046.556972935165024 Averaged sum = 0.4042918346423383978 logp*logq = 24.46845331653688643 -------------- ************************************* p = 41; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43628480586.52083999 -------------- Searches starting with [41,733]-exponents: u = 7, v = 9 n_start has 38 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(41,733) = 0.7661240967638981092 D2(41,733) = 0.1137100633225746268 C1(41,733) = 1.128749808049313251 C2(41,733) = 1.466646469687089404 C3(41,733) = 4.396959329207311520 C4(41,733) = 5864 Sum = 4545.583638927660257 Averaged sum = 0.4541496292264622097 logp*logq = 24.49897599850465368 -------------- ************************************* p = 41; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44969478969.99689776 -------------- Searches starting with [41,739]-exponents: u = 16, v = 5 n_start has 41 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(41,739) = 1.003943912147725261 D2(41,739) = 0.1082291315977441374 C1(41,739) = 1.248775465253704795 C2(41,739) = 1.408540908529419602 C3(41,739) = 5.146856864307137434 C4(41,739) = 5912 Sum = 4837.418491847103143 Averaged sum = 0.4833068729990112042 logp*logq = 24.52924985149328121 -------------- ************************************* p = 41; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45880047895.48481301 -------------- Searches starting with [41,743]-exponents: u = 16, v = 5 n_start has 41 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(41,743) = 0.6210686445875502976 D2(41,743) = 0.1295731336925736656 C1(41,743) = 0.8026022806146890890 C2(41,743) = 2.100795197074569136 C3(41,743) = 2.866264358997090783 C4(41,743) = 5944 Sum = 4762.261466949296424 Averaged sum = 0.4757979285592263387 logp*logq = 24.54929617313652210 -------------- ************************************* p = 41; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47741509221.42058271 -------------- Searches starting with [41,751]-exponents: u = 16, v = 5 n_start has 41 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(41,751) = 0.8469013203894164909 D2(41,751) = 0.1035990562894272145 C1(41,751) = 1.058878290367046051 C2(41,751) = 2.077017048843187745 C3(41,751) = 4.011808800758279429 C4(41,751) = 6008 Sum = 4601.032070000039652 Averaged sum = 0.4596894864621879960 logp*logq = 24.58906707070932208 -------------- ************************************* p = 41; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49173377093.42574157 -------------- Searches starting with [41,757]-exponents: u = 16, v = 5 n_start has 41 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(41,757) = 0.7843877672766319333 D2(41,757) = 0.08542121057579741880 C1(41,757) = 1.104129651234464251 C2(41,757) = 2.060470595604403578 C3(41,757) = 4.257200295901348177 C4(41,757) = 6056 Sum = 4498.572557997622917 Averaged sum = 0.4494527483262686499 logp*logq = 24.61861819800130053 -------------- ************************************* p = 41; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50145223902.59734778 -------------- Searches starting with [41,761]-exponents: u = 25, v = 5 n_start has 55 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(41,761) = 0.6766335531503622599 D2(41,761) = 0.06857452208652976184 C1(41,761) = 0.9524252795115334038 C2(41,761) = 1.903681910103122595 C3(41,761) = 3.488865025130866735 C4(41,761) = 6088 Sum = 4441.143666723095058 Averaged sum = 0.4437150231514731799 logp*logq = 24.63818911057976206 -------------- ************************************* p = 41; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52130926323.86071087 -------------- Searches starting with [41,769]-exponents: u = 25, v = 5 n_start has 55 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(41,769) = 1.106416325816215376 D2(41,769) = 0.04813565835539917405 C1(41,769) = 1.518066588276377439 C2(41,769) = 1.885129984596594808 C3(41,769) = 7.327941260552730976 C4(41,769) = 6152 Sum = 4858.774179518349216 Averaged sum = 0.4854405214825006709 logp*logq = 24.67702420506520672 -------------- ************************************* p = 41; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53145034368.41462972 -------------- Searches starting with [41,773]-exponents: u = 34, v = 5 n_start has 70 digits starting right neighbors generation We generated 369 left neighbors We generated 9641 right neighbors We generated 10009 non-negative rho_i D1(41,773) = 0.7194390742588109411 D2(41,773) = 0.03645555847931642349 C1(41,773) = 0.9367370022088062753 C2(41,773) = 1.781473615842576050 C3(41,773) = 3.417787959183612319 C4(41,773) = 6184 Sum = 4648.091999966913167 Averaged sum = 0.4643912478736050721 logp*logq = 24.69629051062315039 -------------- ************************************* p = 41; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56808179508.18155996 -------------- Searches starting with [41,787]-exponents: u = 79, v = 5 n_start has 142 digits starting right neighbors generation We generated 1044 left neighbors We generated 8966 right neighbors We generated 10009 non-negative rho_i D1(41,787) = 0.6307536434896560902 D2(41,787) = 0.005336775037470669636 C1(41,787) = 0.9480855901005591481 C2(41,787) = 1.525349792577989171 C3(41,787) = 3.469057100727194697 C4(41,787) = 6296 Sum = 4461.813576352329505 Averaged sum = 0.4457801554952871920 logp*logq = 24.76294615773146252 -------------- ************************************* p = 41; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59535303927.93749819 -------------- Searches starting with [41,797]-exponents: u = 367, v = 5 n_start has 607 digits --- performed 5000 steps in the continued fraction search [41,797]-exponents: u = 187, v = 91 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,797) = 0.5965263345529096574 D2(41,797) = 0.2890487475377048928 C1(41,797) = 0.7290565895768747448 C2(41,797) = 1.521919893895517517 C3(41,797) = 2.602618470392142345 C4(41,797) = 6376 Sum = 5559.283552528669393 Averaged sum = 0.5559839536482317625 logp*logq = 24.80983531686612333 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(41,797) = 0.5965263345529096574 D2(41,797) = 0.2890487475377048928 C1(41,797) = 0.7290565895768747448 C2(41,797) = 1.521919893895517517 C3(41,797) = 2.602618470392142345 C4(41,797) = 6376 Sum = 5559.283552528669393 Averaged sum = 0.5559839536482317625 logp*logq = 24.80983531686612333 -------------- ************************************* p = 41; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62932705303.81885692 -------------- Searches starting with [41,809]-exponents: u = 9, v = 61 n_start has 192 digits starting right neighbors generation We generated 3924 left neighbors We generated 6086 right neighbors We generated 10009 non-negative rho_i D1(41,809) = 0.7993414123610772234 D2(41,809) = 0.008236285063768417530 C1(41,809) = 1.018781509697141302 C2(41,809) = 1.927887735392143134 C3(41,809) = 3.806215799407957913 C4(41,809) = 6472 Sum = 5025.566920100288443 Averaged sum = 0.5021047976921059489 logp*logq = 24.86533182265736906 -------------- ************************************* p = 41; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63512408999.00935449 -------------- Searches starting with [41,811]-exponents: u = 9, v = 51 n_start has 163 digits starting right neighbors generation We generated 2811 left neighbors We generated 7199 right neighbors We generated 10009 non-negative rho_i D1(41,811) = 0.6340128442514216410 D2(41,811) = 0.01489310749830144036 C1(41,811) = 0.9263131897288017681 C2(41,811) = 1.934977425929302605 C3(41,811) = 3.371364519610520813 C4(41,811) = 6488 Sum = 4791.504867125352154 Averaged sum = 0.4787196390374015539 logp*logq = 24.87450114106081623 -------------- ************************************* p = 41; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66469642208.66447803 -------------- Searches starting with [41,821]-exponents: u = 9, v = 26 n_start has 91 digits starting right neighbors generation We generated 816 left neighbors We generated 9194 right neighbors We generated 10009 non-negative rho_i D1(41,821) = 1.054012824811395922 D2(41,821) = 0.04960224456378602218 C1(41,821) = 1.352381672888234511 C2(41,821) = 1.971834704870797889 C3(41,821) = 5.896252371570222474 C4(41,821) = 6568 Sum = 5273.200746361158475 Averaged sum = 0.5268459133141331277 logp*logq = 24.92001117223627179 -------------- ************************************* p = 41; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67072947441.54461443 -------------- Searches starting with [41,823]-exponents: u = 9, v = 26 n_start has 91 digits starting right neighbors generation We generated 816 left neighbors We generated 9194 right neighbors We generated 10009 non-negative rho_i D1(41,823) = 1.333102227253504035 D2(41,823) = 0.05686396667340510877 C1(41,823) = 1.787377046673356765 C2(41,823) = 1.979522852880467094 C3(41,823) = 10.43356883141847229 C4(41,823) = 6584 Sum = 4110.266942275683456 Averaged sum = 0.4106571028350168304 logp*logq = 24.92904663184384418 -------------- ************************************* p = 41; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68291549182.75167352 -------------- Searches starting with [41,827]-exponents: u = 9, v = 21 n_start has 76 digits starting right neighbors generation We generated 552 left neighbors We generated 9458 right neighbors We generated 10009 non-negative rho_i D1(41,827) = 1.193631650829864797 D2(41,827) = 0.07175380523980627185 C1(41,827) = 1.501821667133067645 C2(41,827) = 1.995262382643504976 C3(41,827) = 7.173411681468161448 C4(41,827) = 6616 Sum = 4942.276885980899111 Averaged sum = 0.4937832836428113808 logp*logq = 24.94705186501503155 -------------- ************************************* p = 41; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68906878991.94356442 -------------- Searches starting with [41,829]-exponents: u = 9, v = 16 n_start has 62 digits starting right neighbors generation We generated 333 left neighbors We generated 9677 right neighbors We generated 10009 non-negative rho_i D1(41,829) = 0.9534093718404095745 D2(41,829) = 0.07939554336468905578 C1(41,829) = 1.297282353581647245 C2(41,829) = 2.003327396360729606 C3(41,829) = 5.485054163787426366 C4(41,829) = 6632 Sum = 4628.018332148629917 Averaged sum = 0.4623856860973753539 logp*logq = 24.95602185021372137 -------------- ************************************* p = 41; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72044486030.85685370 -------------- Searches starting with [41,839]-exponents: u = 9, v = 11 n_start has 47 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(41,839) = 1.032591378078086050 D2(41,839) = 0.1198977818197960163 C1(41,839) = 1.268752253336371644 C2(41,839) = 2.045930515282358965 C3(41,839) = 5.283536375107331311 C4(41,839) = 6712 Sum = 4253.297891820938408 Averaged sum = 0.4249473365791725855 logp*logq = 25.00054962670429094 -------------- ************************************* p = 41; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76610880023.66192785 -------------- Searches starting with [41,853]-exponents: u = 9, v = 11 n_start has 47 digits starting right neighbors generation We generated 193 left neighbors We generated 9817 right neighbors We generated 10009 non-negative rho_i D1(41,853) = 0.7834556855098552726 D2(41,853) = 0.006504194992987460131 C1(41,853) = 0.9795523951592893830 C2(41,853) = 1.936833734976246077 C3(41,853) = 3.615272000464279111 C4(41,853) = 6824 Sum = 4529.580010945285855 Averaged sum = 0.4525507054596149321 logp*logq = 25.06200494046910396 -------------- ************************************* p = 41; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77953505979.57209428 -------------- Searches starting with [41,857]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(41,857) = 0.9526494728010313431 D2(41,857) = 0.009460520915518435708 C1(41,857) = 1.369866534205663583 C2(41,857) = 2.137527694964470424 C3(41,857) = 6.033075989829286637 C4(41,857) = 6856 Sum = 3978.724378128933408 Averaged sum = 0.3975146746057481675 logp*logq = 25.07937840872639594 -------------- ************************************* p = 41; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78631227804.45272183 -------------- Searches starting with [41,859]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(41,859) = 0.7309200314480229578 D2(41,859) = 0.01060713202589549328 C1(41,859) = 1.051029700690675562 C2(41,859) = 2.139141752721978658 C3(41,859) = 3.970709951160861703 C4(41,859) = 6872 Sum = 4443.346791409025931 Averaged sum = 0.4439351375171371697 logp*logq = 25.08803475778980481 -------------- ************************************* p = 41; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79999574763.09475712 -------------- Searches starting with [41,863]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(41,863) = 0.8783789851618233708 D2(41,863) = 0.01290042790799290619 C1(41,863) = 1.148733745636790914 C2(41,863) = 2.142366613917118917 C3(41,863) = 4.513766961700249305 C4(41,863) = 6904 Sum = 4354.701698299822562 Averaged sum = 0.4350785990908005357 logp*logq = 25.10528715614485012 -------------- ************************************* p = 41; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84926080737.51822697 -------------- Searches starting with [41,877]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(41,877) = 0.6203418485326082354 D2(41,877) = 0.02092914474206405929 C1(41,877) = 0.8100432711819464618 C2(41,877) = 2.153621405996832278 C3(41,877) = 2.894383403335842386 C4(41,877) = 7016 Sum = 4430.389859313180230 Averaged sum = 0.4426406093828734369 logp*logq = 25.16504707669976077 -------------- ************************************* p = 41; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86373450736.14618725 -------------- Searches starting with [41,881]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(41,881) = 1.022687472419236161 D2(41,881) = 0.02322413022503108279 C1(41,881) = 1.381674040915929035 C2(41,881) = 2.156828464078087038 C3(41,881) = 6.127264337104169285 C4(41,881) = 7048 Sum = 4916.969781959546267 Averaged sum = 0.4912548488320058215 logp*logq = 25.18194618238882512 -------------- ************************************* p = 41; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87103855438.73714996 -------------- Searches starting with [41,883]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(41,883) = 0.7384305889810655282 D2(41,883) = 0.02437186799107231236 C1(41,883) = 0.9353460961776414709 C2(41,883) = 2.158430652295845539 C3(41,883) = 3.411556659633265631 C4(41,883) = 7064 Sum = 4566.897817454249968 Averaged sum = 0.4562791305279498419 logp*logq = 25.19036698433426111 -------------- ************************************* p = 41; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88578191567.62043773 -------------- Searches starting with [41,887]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(41,887) = 0.6925731124026816679 D2(41,887) = 0.02666790105058867510 C1(41,887) = 0.8606191618472410971 C2(41,887) = 2.161632438741010015 C3(41,887) = 3.092956342126806591 C4(41,887) = 7096 Sum = 4134.748454376158530 Averaged sum = 0.4131030526901946778 logp*logq = 25.20715151942385075 -------------- ************************************* p = 41; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96224974684.03194802 -------------- Searches starting with [41,907]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(41,907) = 1.200641614005968284 D2(41,907) = 0.02060035845284150801 C1(41,907) = 1.857565581156730222 C2(41,907) = 1.175471714415108742 C3(41,907) = 11.43999252912829643 C4(41,907) = 7256 Sum = 3928.423942229486562 Averaged sum = 0.3924891539843627297 logp*logq = 25.28995477302480624 -------------- ************************************* p = 41; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97810341589.69861277 -------------- Searches starting with [41,911]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(41,911) = 0.8765914550437416263 D2(41,911) = 0.02408487984933386474 C1(41,911) = 1.356213291818533787 C2(41,911) = 2.484671197874499732 C3(41,911) = 5.925967825625246097 C4(41,911) = 7288 Sum = 4543.056226756486313 Averaged sum = 0.4538971152719039178 logp*logq = 25.30629615062282490 -------------- ************************************* p = 41; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101038224957.2578383 -------------- Searches starting with [41,919]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(41,919) = 0.6355156633713594535 D2(41,919) = 0.03318888342733744290 C1(41,919) = 0.9832343047196397038 C2(41,919) = 1.610386887461345815 C3(41,919) = 3.632778342290349878 C4(41,919) = 7352 Sum = 4605.301064019138356 Averaged sum = 0.4601160020001137333 logp*logq = 25.33876474711123121 -------------- ************************************* p = 41; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105181715307.4406435 -------------- Searches starting with [41,929]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(41,929) = 0.6899946413560224489 D2(41,929) = 0.04164063862225233005 C1(41,929) = 0.9264411762043462695 C2(41,929) = 1.797621551789794507 C3(41,929) = 3.371930678305657501 C4(41,929) = 7432 Sum = 4343.764272185395428 Averaged sum = 0.4339858399625732268 logp*logq = 25.37895531327887681 -------------- ************************************* p = 41; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108584824620.7650133 -------------- Searches starting with [41,937]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(41,937) = 0.7132551356991335018 D2(41,937) = 0.04823935858627689116 C1(41,937) = 0.8900419743255932522 C2(41,937) = 1.914322366250243122 C3(41,937) = 3.214686813793993916 C4(41,937) = 7496 Sum = 4529.592804019050275 Averaged sum = 0.4525519836166500425 logp*logq = 25.41079749822515382 -------------- ************************************* p = 41; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110316217748.6573739 -------------- Searches starting with [41,941]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(41,941) = 1.215392088023569267 D2(41,941) = 0.05025332138780382660 C1(41,941) = 1.606458371098667152 C2(41,941) = 1.917059950111655795 C3(41,941) = 8.228996876373787694 C4(41,941) = 7528 Sum = 5097.286098160250486 Averaged sum = 0.5092702665761065527 logp*logq = 25.42661678547696012 -------------- ************************************* p = 41; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112951016256.9891897 -------------- Searches starting with [41,947]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(41,947) = 0.7572032792835304571 D2(41,947) = 0.05327803261454254601 C1(41,947) = 1.069835352553499665 C2(41,947) = 1.921164237996639588 C3(41,947) = 4.069897498693350046 C4(41,947) = 7576 Sum = 4454.935843814331992 Averaged sum = 0.4450930006808204608 logp*logq = 25.45022007722578314 -------------- ************************************* p = 41; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115631505451.2925070 -------------- Searches starting with [41,953]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(41,953) = 0.7015079926932355055 D2(41,953) = 0.06176266796897096575 C1(41,953) = 0.8897111863386446697 C2(41,953) = 2.111787068871541666 C3(41,953) = 3.213291968351407091 C4(41,953) = 7624 Sum = 4463.733146127923987 Averaged sum = 0.4459719398669121777 logp*logq = 25.47367429455880660 -------------- ************************************* p = 41; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122066463203.3601725 -------------- Searches starting with [41,967]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(41,967) = 0.8694438992001215916 D2(41,967) = 0.06954257485738981440 C1(41,967) = 1.124869078753156470 C2(41,967) = 2.122385619644761682 C3(41,967) = 4.374629130411195895 C4(41,967) = 7736 Sum = 4986.521151042762923 Averaged sum = 0.4982037317457051577 logp*logq = 25.52783151369613346 -------------- ************************************* p = 41; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 123952100089.2476079 -------------- Searches starting with [41,971]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(41,971) = 0.6317405502540334658 D2(41,971) = 0.07177187899778380556 C1(41,971) = 0.8436104596481981786 C2(41,971) = 2.125412602253414230 C3(41,971) = 3.024700442547376765 C4(41,971) = 7768 Sum = 4420.587290986544125 Averaged sum = 0.4416612339880651539 logp*logq = 25.54316103831955795 -------------- ************************************* p = 41; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126820346143.7972026 -------------- Searches starting with [41,977]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(41,977) = 0.6249853538132232341 D2(41,977) = 0.07512165894583363831 C1(41,977) = 0.9448907474331578654 C2(41,977) = 2.129952632222787976 C3(41,977) = 3.454546580895213333 C4(41,977) = 7816 Sum = 4424.431628965736136 Averaged sum = 0.4420453221066776037 logp*logq = 25.56603732462473750 -------------- ************************************* p = 41; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129736791105.6821631 -------------- Searches starting with [41,983]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 19 left neighbors We generated 9991 right neighbors We generated 10009 non-negative rho_i D1(41,983) = 0.8113409019172666441 D2(41,983) = 0.06972816478965318078 C1(41,983) = 1.226490388087176485 C2(41,983) = 1.468528942265669924 C3(41,983) = 4.998552237397936908 C4(41,983) = 7864 Sum = 4774.330599029282263 Averaged sum = 0.4770037565220583737 logp*logq = 25.58877355115646529 -------------- ************************************* p = 41; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 133701239378.0780881 -------------- Searches starting with [41,991]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(41,991) = 1.088963824662623613 D2(41,991) = 0.04835951594494539217 C1(41,991) = 1.645978432186621093 C2(41,991) = 1.247673807534725898 C3(41,991) = 8.666926358398851448 C4(41,991) = 7928 Sum = 4059.984506404010288 Averaged sum = 0.4056333805978629521 logp*logq = 25.61887359085485991 -------------- ************************************* p = 41; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136732129123.8982710 -------------- Searches starting with [41,997]-exponents: u = 13, v = 1 n_start has 24 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(41,997) = 0.7390990498239141418 D2(41,997) = 0.06104010565564731210 C1(41,997) = 0.9420021044272578333 C2(41,997) = 1.516471238514430770 C3(41,997) = 3.441479031522954530 C4(41,997) = 7976 Sum = 4307.804353315950986 Averaged sum = 0.4303930815581927251 logp*logq = 25.64128958688534456 -------------- ************************************* p = 43; q = 47; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1945784.129080284837 -------------- Searches starting with [43,47]-exponents: u = 1, v = 42 n_start has 72 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(43,47) = 0.7196636628012807670 D2(43,47) = 0.01883353994842070603 C1(43,47) = 0.9731480975305751455 C2(43,47) = 1.228099994858470874 C3(43,47) = 3.629759339036513689 C4(43,47) = 376 Sum = 5094.971361794063208 Averaged sum = 0.5090390010784357286 logp*logq = 14.48117560498916426 -------------- ************************************* p = 43; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3057360.147174214191 -------------- Searches starting with [43,53]-exponents: u = 1, v = 17 n_start has 31 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(43,53) = 1.407654115046040749 D2(43,53) = 0.03466225650509631036 C1(43,53) = 2.040974428886659857 C2(43,53) = 1.514940345051697209 C3(43,53) = 14.93573343402005558 C4(43,53) = 424 Sum = 5869.403489448678003 Averaged sum = 0.5864125776250052955 logp*logq = 14.93306240458945598 -------------- ************************************* p = 43; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4576450.729465104704 -------------- Searches starting with [43,59]-exponents: u = 1, v = 11 n_start has 22 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(43,59) = 0.9724047270682568023 D2(43,59) = 0.05412326046027226074 C1(43,59) = 1.243396378989102521 C2(43,59) = 1.714546378615459797 C3(43,59) = 5.192288475866280217 C4(43,59) = 472 Sum = 5259.016948509114063 Averaged sum = 0.5254288089228808136 logp*logq = 15.33643430576302480 -------------- ************************************* p = 43; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5187794.710293942275 -------------- Searches starting with [43,61]-exponents: u = 1, v = 10 n_start has 20 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(43,61) = 0.9131235014184755716 D2(43,61) = 0.04564120856102198659 C1(43,61) = 1.227310202194806284 C2(43,61) = 1.760001515828284285 C3(43,61) = 5.082811576380649729 C4(43,61) = 488 Sum = 4614.709067552309279 Averaged sum = 0.4610559563944758995 logp*logq = 15.46181925353030029 -------------- ************************************* p = 43; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7382998.142938495386 -------------- Searches starting with [43,67]-exponents: u = 1, v = 8 n_start has 17 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(43,67) = 0.9528001746084861800 D2(43,67) = 0.02192829610180680678 C1(43,67) = 1.381476295511032317 C2(43,67) = 1.879978941845981355 C3(43,67) = 6.234474316185703481 C4(43,67) = 536 Sum = 4722.143953092389885 Averaged sum = 0.4717897845031861209 logp*logq = 15.81469036650916958 -------------- ************************************* p = 43; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9182334.624815319197 -------------- Searches starting with [43,71]-exponents: u = 1, v = 7 n_start has 15 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(43,71) = 2.043848124744081078 D2(43,71) = 0.1067322159941514885 C1(43,71) = 2.999500301471447180 C2(43,71) = 1.684624074131408497 C3(43,71) = 53.17308189445173280 C4(43,71) = 568 Sum = 5772.936230914487550 Averaged sum = 0.5767745260180325257 logp*logq = 16.03279204669241601 -------------- ************************************* p = 43; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10193660.30634681882 -------------- Searches starting with [43,73]-exponents: u = 1, v = 7 n_start has 15 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(43,73) = 0.8368535364441915680 D2(43,73) = 0.06324477538158210351 C1(43,73) = 1.370464412419864237 C2(43,73) = 1.182300045741679084 C3(43,73) = 6.144186823707929408 C4(43,73) = 584 Sum = 4868.979139126409335 Averaged sum = 0.4864600998228004131 logp*logq = 16.13727654642586589 -------------- ************************************* p = 43; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13720035.50677394478 -------------- Searches starting with [43,79]-exponents: u = 1, v = 6 n_start has 14 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(43,79) = 0.7705278078805455419 D2(43,79) = 0.03529881218853926806 C1(43,79) = 1.004140218892922775 C2(43,79) = 1.316459479221029739 C3(43,79) = 3.781885867001452624 C4(43,79) = 632 Sum = 5124.887530299804985 Averaged sum = 0.5120279278948751109 logp*logq = 16.43436776821594912 -------------- ************************************* p = 43; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16521015.66791664256 -------------- Searches starting with [43,83]-exponents: u = 7, v = 5 n_start has 22 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(43,83) = 0.7286160212286809607 D2(43,83) = 0.01957297029818870627 C1(43,83) = 0.9793226963896645515 C2(43,83) = 1.778277616008782431 C3(43,83) = 3.659571538468860780 C4(43,83) = 664 Sum = 4846.582919731855978 Averaged sum = 0.4842224917306280325 logp*logq = 16.62014380527597581 -------------- ************************************* p = 43; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21480575.79067164113 -------------- Searches starting with [43,89]-exponents: u = 31, v = 5 n_start has 61 digits starting right neighbors generation We generated 547 left neighbors We generated 9463 right neighbors We generated 10009 non-negative rho_i D1(43,89) = 0.8277491001502225388 D2(43,89) = 0.04543605722055968124 C1(43,89) = 1.131435636336023389 C2(43,89) = 1.630188299801411217 C3(43,89) = 4.476564410244141976 C4(43,89) = 712 Sum = 4898.697120747405840 Averaged sum = 0.4894292257715461924 logp*logq = 16.88265963314285640 -------------- ************************************* p = 43; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29692452.93686067626 -------------- Searches starting with [43,97]-exponents: u = 6, v = 9 n_start has 28 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(43,97) = 0.8906651248210342348 D2(43,97) = 0.1032875259517582388 C1(43,97) = 1.200621160076041091 C2(43,97) = 1.760756762248244437 C3(43,97) = 4.906243500588970334 C4(43,97) = 776 Sum = 5040.048882854005072 Averaged sum = 0.5035516917628139746 logp*logq = 17.20640346161153363 -------------- ************************************* p = 43; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34566370.68571504568 -------------- Searches starting with [43,101]-exponents: u = 11, v = 4 n_start has 26 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(43,101) = 0.8472507716482442524 D2(43,101) = 0.1044306594987929470 C1(43,101) = 1.187817267313600741 C2(43,101) = 1.803233176098101603 C3(43,101) = 4.823726554526493731 C4(43,101) = 808 Sum = 4542.420121662753961 Averaged sum = 0.4538335619605109363 logp*logq = 17.35839182188307866 -------------- ************************************* p = 43; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37212050.56619417523 -------------- Searches starting with [43,103]-exponents: u = 16, v = 4 n_start has 35 digits starting right neighbors generation We generated 157 left neighbors We generated 9853 right neighbors We generated 10009 non-negative rho_i D1(43,103) = 0.6844924412266874495 D2(43,103) = 0.04608013570980692123 C1(43,103) = 0.8986517226739387982 C2(43,103) = 1.749364640262869817 C3(43,103) = 3.288653344615679742 C4(43,103) = 824 Sum = 5078.929179439577325 Averaged sum = 0.5074362253411506968 logp*logq = 17.43214320673761358 -------------- ************************************* p = 43; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42945582.66504459727 -------------- Searches starting with [43,107]-exponents: u = 36, v = 4 n_start has 67 digits starting right neighbors generation We generated 623 left neighbors We generated 9387 right neighbors We generated 10009 non-negative rho_i D1(43,107) = 1.019761829115875153 D2(43,107) = 0.005146709014757360380 C1(43,107) = 1.383543955239105765 C2(43,107) = 1.592156895444349839 C3(43,107) = 6.251574621207410613 C4(43,107) = 856 Sum = 5618.923011229788414 Averaged sum = 0.5613870527754809085 logp*logq = 17.57544435279433595 -------------- ************************************* p = 43; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46043547.77563766719 -------------- Searches starting with [43,109]-exponents: u = 111, v = 4 n_start has 190 digits starting right neighbors generation We generated 5008 left neighbors We generated 5002 right neighbors We generated 10009 non-negative rho_i D1(43,109) = 0.9139139013977526345 D2(43,109) = 0.002680229412350546994 C1(43,109) = 1.168605357227328489 C2(43,109) = 1.361823492680738309 C3(43,109) = 4.702508192893556109 C4(43,109) = 872 Sum = 5559.098106584771952 Averaged sum = 0.5554099417109373516 logp*logq = 17.64509819739900435 -------------- ************************************* p = 43; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52727706.25073113105 -------------- Searches starting with [43,113]-exponents: u = 5, v = 35 n_start has 81 digits starting right neighbors generation We generated 873 left neighbors We generated 9137 right neighbors We generated 10009 non-negative rho_i D1(43,113) = 1.130932692827028265 D2(43,113) = 0.01744113075455681273 C1(43,113) = 1.435443956931675044 C2(43,113) = 1.565410765252975486 C3(43,113) = 6.696515257858951572 C4(43,113) = 904 Sum = 5266.792005529968942 Averaged sum = 0.5262056154990477512 logp*logq = 17.78065161066919305 -------------- ************************************* p = 43; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81813844.05909987464 -------------- Searches starting with [43,127]-exponents: u = 9, v = 3 n_start has 22 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(43,127) = 0.7976192531863089190 D2(43,127) = 0.07002397051923494529 C1(43,127) = 1.278515295341352311 C2(43,127) = 1.276239127771966132 C3(43,127) = 5.439558532729390497 C4(43,127) = 1016 Sum = 5255.916503619742674 Averaged sum = 0.5251190432230735013 logp*logq = 18.21995703002931458 -------------- ************************************* p = 43; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91935034.24423449087 -------------- Searches starting with [43,131]-exponents: u = 9, v = 3 n_start has 22 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(43,131) = 0.9107275942433008578 D2(43,131) = 0.1516101400555720274 C1(43,131) = 1.250077106630710332 C2(43,131) = 1.767611092363758754 C3(43,131) = 5.238445289418841165 C4(43,131) = 1048 Sum = 4631.541744773896866 Averaged sum = 0.4627377105379055716 logp*logq = 18.33659273605311703 -------------- ************************************* p = 43; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108801189.7398086409 -------------- Searches starting with [43,137]-exponents: u = 17, v = 3 n_start has 35 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10009 non-negative rho_i D1(43,137) = 0.9464681647804447807 D2(43,137) = 0.05497277724943333734 C1(43,137) = 1.389012468008591856 C2(43,137) = 1.801829498090898494 C3(43,137) = 6.297027637870679355 C4(43,137) = 1096 Sum = 4649.767935412918175 Averaged sum = 0.4645586907196441377 logp*logq = 18.50503282743486380 -------------- ************************************* p = 43; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114896689.2454532274 -------------- Searches starting with [43,139]-exponents: u = 17, v = 3 n_start has 35 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10009 non-negative rho_i D1(43,139) = 0.8120720110107225685 D2(43,139) = 0.001314649484845775432 C1(43,139) = 1.028839369623514963 C2(43,139) = 1.751558158530318951 C3(43,139) = 3.907675506133850968 C4(43,139) = 1112 Sum = 4951.788608222642597 Averaged sum = 0.4947336005817406930 logp*logq = 18.55954392817802585 -------------- ************************************* p = 43; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149206740.8758573449 -------------- Searches starting with [43,149]-exponents: u = 149, v = 3 n_start has 250 digits --- performed 5000 steps in the continued fraction search [43,149]-exponents: u = 77, v = 16 --- starting right neighbors generation We generated 6987 left neighbors We generated 3023 right neighbors We generated 10009 non-negative rho_i D1(43,149) = 0.7271629977131591204 D2(43,149) = 0.003833352695288736429 C1(43,149) = 0.9186580109971390346 C2(43,149) = 1.260266984962197874 C3(43,149) = 3.376978096644161873 C4(43,149) = 1192 Sum = 5481.036369344980137 Averaged sum = 0.5476107872259946185 logp*logq = 18.82084342484643523 -------------- ************************************* p = 43; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156880276.5550389236 -------------- Searches starting with [43,151]-exponents: u = 4, v = 533 n_start has 1168 digits --- performed 5000 steps in the continued fraction search [43,151]-exponents: u = 204, v = 376 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,151) = 0.7305921146910153586 D2(43,151) = 0.4119463641393154434 C1(43,151) = 0.8779793009114281847 C2(43,151) = 1.313571602279690145 C3(43,151) = 3.199813794185311302 C4(43,151) = 1208 Sum = 6276.581699831246432 Averaged sum = 0.6277209420773323764 logp*logq = 18.87099350269527138 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,151) = 0.7305921146910153586 D2(43,151) = 0.4119463641393154434 C1(43,151) = 0.8779793009114281847 C2(43,151) = 1.313571602279690145 C3(43,151) = 3.199813794185311302 C4(43,151) = 1208 Sum = 6276.581699831246432 Averaged sum = 0.6277209420773323764 logp*logq = 18.87099350269527138 -------------- ************************************* p = 43; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 181642732.5867618190 -------------- Searches starting with [43,157]-exponents: u = 4, v = 29 n_start has 71 digits starting right neighbors generation We generated 549 left neighbors We generated 9461 right neighbors We generated 10009 non-negative rho_i D1(43,157) = 0.7622807138286319960 D2(43,157) = 0.007934645545121409345 C1(43,157) = 0.9914358374722773325 C2(43,157) = 1.585306877463929689 C3(43,157) = 3.718769425283539338 C4(43,157) = 1256 Sum = 4989.552552663560909 Averaged sum = 0.4985065993269618252 logp*logq = 19.01755230805114598 -------------- ************************************* p = 43; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 209160790.0624589862 -------------- Searches starting with [43,163]-exponents: u = 4, v = 14 n_start has 38 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(43,163) = 0.6920364698193926029 D2(43,163) = 0.03514134038584458179 C1(43,163) = 0.9116536278169526677 C2(43,163) = 1.771699744529208945 C3(43,163) = 3.345788136679875703 C4(43,163) = 1304 Sum = 4898.125649591286825 Averaged sum = 0.4893721300420908008 logp*logq = 19.15861384458850132 -------------- ************************************* p = 43; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 229129732.6845669630 -------------- Searches starting with [43,167]-exponents: u = 4, v = 11 n_start has 31 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(43,167) = 0.6977608007851135520 D2(43,167) = 0.1507825582268069014 C1(43,167) = 0.9069446998859192965 C2(43,167) = 1.891571254579618471 C3(43,167) = 3.324981752086425009 C4(43,167) = 1336 Sum = 5025.783365166715803 Averaged sum = 0.5021264227362089921 logp*logq = 19.24979891938083593 -------------- ************************************* p = 43; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 261661159.7793054984 -------------- Searches starting with [43,173]-exponents: u = 4, v = 8 n_start has 25 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(43,173) = 0.7405694410276198072 D2(43,173) = 0.07316799454495386579 C1(43,173) = 1.012276087329042604 C2(43,173) = 1.948046775514004811 C3(43,173) = 3.822867083865546306 C4(43,173) = 1384 Sum = 4722.379594538117085 Averaged sum = 0.4718133274590985199 logp*logq = 19.38256094142770895 -------------- ************************************* p = 43; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 297461717.2256717692 -------------- Searches starting with [43,179]-exponents: u = 11, v = 5 n_start has 30 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(43,179) = 0.8526919795497046747 D2(43,179) = 0.09570909402531475886 C1(43,179) = 1.158915503033501010 C2(43,179) = 1.882638017369345118 C3(43,179) = 4.642530135906178866 C4(43,179) = 1432 Sum = 3893.848100024498706 Averaged sum = 0.3890346787915374869 logp*logq = 19.51079609307539123 -------------- ************************************* p = 43; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 310156521.2968070689 -------------- Searches starting with [43,181]-exponents: u = 11, v = 5 n_start has 30 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(43,181) = 0.6955894426504824157 D2(43,181) = 0.07587926452038906472 C1(43,181) = 0.8750111700252487079 C2(43,181) = 1.865205511357251928 C3(43,181) = 3.187256842171712250 C4(43,181) = 1448 Sum = 4693.326060601419558 Averaged sum = 0.4689105865322629191 logp*logq = 19.55258763542966459 -------------- ************************************* p = 43; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 379684584.5009775843 -------------- Searches starting with [43,191]-exponents: u = 74, v = 5 n_start has 133 digits starting right neighbors generation We generated 2316 left neighbors We generated 7694 right neighbors We generated 10009 non-negative rho_i D1(43,191) = 0.6536239687845830183 D2(43,191) = 0.02223281358985513451 C1(43,191) = 0.9675274303335546282 C2(43,191) = 1.672755334109139392 C3(43,191) = 3.602832841328214182 C4(43,191) = 1528 Sum = 5090.353213559530316 Averaged sum = 0.5085776015145899007 logp*logq = 19.75485142522320799 -------------- ************************************* p = 43; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 394855703.0415907423 -------------- Searches starting with [43,193]-exponents: u = 347, v = 5 n_start has 579 digits --- performed 5000 steps in the continued fraction search [43,193]-exponents: u = 129, v = 146 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,193) = 0.6313926991617448530 D2(43,193) = 0.3173659305806041251 C1(43,193) = 0.7743886837210924181 C2(43,193) = 1.354043574319200205 C3(43,193) = 2.789499482628958940 C4(43,193) = 1544 Sum = 5848.160734833868548 Averaged sum = 0.5848745609394808029 logp*logq = 19.79403094736843142 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,193) = 0.6313926991617448530 D2(43,193) = 0.3173659305806041251 C1(43,193) = 0.7743886837210924181 C2(43,193) = 1.354043574319200205 C3(43,193) = 2.789499482628958940 C4(43,193) = 1544 Sum = 5848.160734833868548 Averaged sum = 0.5848745609394808029 logp*logq = 19.79403094736843142 -------------- ************************************* p = 43; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 426527105.3056119712 -------------- Searches starting with [43,197]-exponents: u = 7, v = 42 n_start has 108 digits starting right neighbors generation We generated 1519 left neighbors We generated 8491 right neighbors We generated 10009 non-negative rho_i D1(43,197) = 0.7610808626298583673 D2(43,197) = 0.02994216093567433728 C1(43,197) = 1.008350428422401239 C2(43,197) = 1.706883305138733149 C3(43,197) = 3.803037983798748064 C4(43,197) = 1576 Sum = 4128.702200033263249 Averaged sum = 0.4124989709294897841 logp*logq = 19.87118647576198276 -------------- ************************************* p = 43; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 443043589.4218913608 -------------- Searches starting with [43,199]-exponents: u = 7, v = 27 n_start has 74 digits starting right neighbors generation We generated 670 left neighbors We generated 9340 right neighbors We generated 10009 non-negative rho_i D1(43,199) = 1.018144775939838784 D2(43,199) = 0.06590072779196329503 C1(43,199) = 1.388937834724092264 C2(43,199) = 1.744616339862306417 C3(43,199) = 6.296405084329919411 C4(43,199) = 1592 Sum = 3758.015879924892702 Averaged sum = 0.3754636706888692878 logp*logq = 19.90917871915505296 -------------- ************************************* p = 43; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 552193690.2373720621 -------------- Searches starting with [43,211]-exponents: u = 7, v = 7 n_start has 28 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(43,211) = 0.8350302463423138284 D2(43,211) = 0.06023114940469917078 C1(43,211) = 1.141387750467137302 C2(43,211) = 1.917374577063812452 C3(43,211) = 4.535973953084934116 C4(43,211) = 1688 Sum = 4511.386997610965655 Averaged sum = 0.4507330400250739989 logp*logq = 20.12940943080571435 -------------- ************************************* p = 43; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 679899188.1278666596 -------------- Searches starting with [43,223]-exponents: u = 10, v = 2 n_start has 22 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(43,223) = 1.107043682981852144 D2(43,223) = 0.1180192625155411767 C1(43,223) = 1.574766736802584993 C2(43,223) = 1.840977302284122599 C3(43,223) = 8.053876055236380096 C4(43,223) = 1784 Sum = 4050.385226580331879 Averaged sum = 0.4046743157738367348 logp*logq = 20.33745509239076355 -------------- ************************************* p = 43; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 726916834.4196824754 -------------- Searches starting with [43,227]-exponents: u = 10, v = 2 n_start has 22 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(43,227) = 0.8690943948831037115 D2(43,227) = 0.1404920515342752691 C1(43,227) = 1.135759273884857448 C2(43,227) = 1.866809420388221064 C3(43,227) = 4.502278341888435605 C4(43,227) = 1816 Sum = 4510.077395348547026 Averaged sum = 0.4506021975570533546 logp*logq = 20.40432263338284523 -------------- ************************************* p = 43; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 751300173.6070228848 -------------- Searches starting with [43,229]-exponents: u = 13, v = 2 n_start has 26 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(43,229) = 1.243642663150775941 D2(43,229) = 0.08415606222865888546 C1(43,229) = 1.885955852174245469 C2(43,229) = 1.040110577603035552 C3(43,229) = 12.16298771043784373 C4(43,229) = 1832 Sum = 3155.470853653011633 Averaged sum = 0.3152633483517845572 logp*logq = 20.43731582841486198 -------------- ************************************* p = 43; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 801861503.6489622189 -------------- Searches starting with [43,233]-exponents: u = 13, v = 2 n_start has 26 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(43,233) = 1.081161034744255365 D2(43,233) = 0.08193519374388462056 C1(43,233) = 1.392171299767232316 C2(43,233) = 2.001182205825260944 C3(43,233) = 6.323433546379177056 C4(43,233) = 1864 Sum = 5243.405338851237607 Averaged sum = 0.5238690517385590575 logp*logq = 20.50244646220137057 -------------- ************************************* p = 43; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 882328810.1452479575 -------------- Searches starting with [43,239]-exponents: u = 16, v = 2 n_start has 31 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(43,239) = 0.6714552918551877917 D2(43,239) = 0.1589121635471756398 C1(43,239) = 0.9922754665724336010 C2(43,239) = 1.440730250245640605 C3(43,239) = 3.722908071554936434 C4(43,239) = 1912 Sum = 4564.035926304667908 Averaged sum = 0.4559931987515903595 logp*logq = 20.59807534511637573 -------------- ************************************* p = 43; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 910422067.8758521587 -------------- Searches starting with [43,241]-exponents: u = 16, v = 2 n_start has 31 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(43,241) = 1.019672858147509204 D2(43,241) = 0.1253952022382834360 C1(43,241) = 1.399612964653441270 C2(43,241) = 1.958898675705103276 C3(43,241) = 6.386079863150404140 C4(43,241) = 1928 Sum = 4337.995192231842526 Averaged sum = 0.4334094507175384680 logp*logq = 20.62941886080074798 -------------- ************************************* p = 43; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1060847797.039480525 -------------- Searches starting with [43,251]-exponents: u = 22, v = 2 n_start has 41 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(43,251) = 0.6320344094769322598 D2(43,251) = 0.04521682104847616895 C1(43,251) = 0.7958219787504284376 C2(43,251) = 1.816447618143000873 C3(43,251) = 2.869838295262962294 C4(43,251) = 2008 Sum = 4840.918874996838119 Averaged sum = 0.4836565965627773123 logp*logq = 20.78233423392180008 -------------- ************************************* p = 43; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1159419878.814273139 -------------- Searches starting with [43,257]-exponents: u = 28, v = 2 n_start has 51 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(43,257) = 0.7271815297105795088 D2(43,257) = 0.008169426803082316762 C1(43,257) = 0.9412648412966575305 C2(43,257) = 1.727404835617284039 C3(43,257) = 3.479641893930211951 C4(43,257) = 2056 Sum = 5041.167188509652255 Averaged sum = 0.5036634217713709916 logp*logq = 20.87118561250028113 -------------- ************************************* p = 43; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1264555343.842940955 -------------- Searches starting with [43,263]-exponents: u = 40, v = 2 n_start has 71 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(43,263) = 1.750615534823497926 D2(43,263) = 0.06138056005184348809 C1(43,263) = 2.379290746927178643 C2(43,263) = 1.664098409063908312 C3(43,263) = 23.38131199399446755 C4(43,263) = 2104 Sum = 3686.967054316981702 Averaged sum = 0.3683651767726028277 logp*logq = 20.95798639048935839 -------------- ************************************* p = 43; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1376526436.877331866 -------------- Searches starting with [43,269]-exponents: u = 58, v = 2 n_start has 100 digits starting right neighbors generation We generated 713 left neighbors We generated 9297 right neighbors We generated 10009 non-negative rho_i D1(43,269) = 0.8403344001167470844 D2(43,269) = 0.03444764664248222274 C1(43,269) = 1.073269593963264063 C2(43,269) = 1.540006795958409048 C3(43,269) = 4.144578554823291053 C4(43,269) = 2152 Sum = 5076.405871585373840 Averaged sum = 0.5071841214492330742 logp*logq = 21.04282908823052748 -------------- ************************************* p = 43; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1415416905.094836478 -------------- Searches starting with [43,271]-exponents: u = 70, v = 2 n_start has 120 digits starting right neighbors generation We generated 1081 left neighbors We generated 8929 right neighbors We generated 10009 non-negative rho_i D1(43,271) = 0.7453832308325063342 D2(43,271) = 0.01669190882137418812 C1(43,271) = 0.9778037699709244152 C2(43,271) = 1.486425744627936910 C3(43,271) = 3.652215226585281894 C4(43,271) = 2168 Sum = 4088.459983755881232 Averaged sum = 0.4084783678445280479 logp*logq = 21.07068995722181453 -------------- ************************************* p = 43; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1536933900.325690323 -------------- Searches starting with [43,277]-exponents: u = 157, v = 2 n_start has 262 digits --- performed 5000 steps in the continued fraction search [43,277]-exponents: u = 58, v = 29 --- starting right neighbors generation We generated 5225 left neighbors We generated 4785 right neighbors We generated 10009 non-negative rho_i D1(43,277) = 0.6745500040821652524 D2(43,277) = 0.001339246751389862693 C1(43,277) = 0.8512823299702102163 C2(43,277) = 1.292941869533952635 C3(43,277) = 3.088625359972581611 C4(43,277) = 2216 Sum = 5200.740060250457269 Averaged sum = 0.5196063603007750294 logp*logq = 21.15305529493443799 -------------- ************************************* p = 43; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1622088307.295009780 -------------- Searches starting with [43,281]-exponents: u = 817, v = 2 n_start has 1340 digits --- performed 5000 steps in the continued fraction search [43,281]-exponents: u = 445, v = 244 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,281) = 0.7318013266337173261 D2(43,281) = 0.3866587841025198608 C1(43,281) = 0.8763729439240398331 C2(43,281) = 1.349882030766712659 C3(43,281) = 3.193011823003812768 C4(43,281) = 2248 Sum = 6195.469265695957942 Averaged sum = 0.6196088874583416284 logp*logq = 21.20698023461942247 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,281) = 0.7318013266337173261 D2(43,281) = 0.3866587841025198608 C1(43,281) = 0.8763729439240398331 C2(43,281) = 1.349882030766712659 C3(43,281) = 3.193011823003812768 C4(43,281) = 2248 Sum = 6195.469265695957942 Averaged sum = 0.6196088874583416284 logp*logq = 21.20698023461942247 -------------- ************************************* p = 43; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1665940264.752610054 -------------- Searches starting with [43,283]-exponents: u = 3, v = 515 n_start has 1268 digits --- performed 5000 steps in the continued fraction search [43,283]-exponents: u = 397, v = 246 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,283) = 0.7492708309862184471 D2(43,283) = 0.3832826294333845747 C1(43,283) = 0.8985258817392634471 C2(43,283) = 1.354225869825160769 C3(43,283) = 3.288105151148709165 C4(43,283) = 2264 Sum = 6167.395934573292897 Averaged sum = 0.6168012735846877585 logp*logq = 21.23365552455760841 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,283) = 0.7492708309862184471 D2(43,283) = 0.3832826294333845747 C1(43,283) = 0.8985258817392634471 C2(43,283) = 1.354225869825160769 C3(43,283) = 3.288105151148709165 C4(43,283) = 2264 Sum = 6167.395934573292897 Averaged sum = 0.6168012735846877585 logp*logq = 21.23365552455760841 -------------- ************************************* p = 43; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1898378379.451626477 -------------- Searches starting with [43,293]-exponents: u = 3, v = 49 n_start has 126 digits starting right neighbors generation We generated 1243 left neighbors We generated 8767 right neighbors We generated 10009 non-negative rho_i D1(43,293) = 1.413328908110639991 D2(43,293) = 0.0007990497965059243942 C1(43,293) = 1.848334220641052000 C2(43,293) = 1.480718116181303636 C3(43,293) = 11.57165690639677165 C4(43,293) = 2344 Sum = 4349.655441196651842 Averaged sum = 0.4345744271352434651 logp*logq = 21.36426587419439787 -------------- ************************************* p = 43; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2262690459.035184460 -------------- Searches starting with [43,307]-exponents: u = 3, v = 21 n_start has 58 digits starting right neighbors generation We generated 231 left neighbors We generated 9779 right neighbors We generated 10009 non-negative rho_i D1(43,307) = 0.7140325434390097219 D2(43,307) = 0.04026237731075807236 C1(43,307) = 0.9390009890810459303 C2(43,307) = 1.738517207462842680 C3(43,307) = 3.469222041176668923 C4(43,307) = 2456 Sum = 4709.797783090691937 Averaged sum = 0.4705562776591759354 logp*logq = 21.53982041078438331 -------------- ************************************* p = 43; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2375585488.073227470 -------------- Searches starting with [43,311]-exponents: u = 3, v = 19 n_start has 53 digits starting right neighbors generation We generated 208 left neighbors We generated 9802 right neighbors We generated 10009 non-negative rho_i D1(43,311) = 0.8456806127198262032 D2(43,311) = 0.04045895592695621775 C1(43,311) = 1.178399368611577459 C2(43,311) = 1.787396591129050803 C3(43,311) = 4.763918406897984347 C4(43,311) = 2488 Sum = 3999.328997429628598 Averaged sum = 0.3995732837875540612 logp*logq = 21.58850976534562501 -------------- ************************************* p = 43; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2433557718.000799493 -------------- Searches starting with [43,313]-exponents: u = 3, v = 17 n_start has 48 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(43,313) = 1.109573245903482296 D2(43,313) = 0.08363143331976443219 C1(43,313) = 1.476375466421049572 C2(43,313) = 1.831602618279925302 C3(43,313) = 7.069648841552650174 C4(43,313) = 2504 Sum = 5376.800306535660304 Averaged sum = 0.5371965537551863627 logp*logq = 21.61262010505834180 -------------- ************************************* p = 43; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2552609530.563988070 -------------- Searches starting with [43,317]-exponents: u = 3, v = 15 n_start has 43 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(43,317) = 0.8176719764029974943 D2(43,317) = 0.04899975092691181745 C1(43,317) = 1.096005042418929209 C2(43,317) = 1.855494837483362610 C3(43,317) = 4.271305944732886413 C4(43,317) = 2536 Sum = 4520.584332229636826 Averaged sum = 0.4516519464711396569 logp*logq = 21.66038201817508971 -------------- ************************************* p = 43; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3003152192.257839237 -------------- Searches starting with [43,331]-exponents: u = 3, v = 11 n_start has 33 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(43,331) = 0.6529176276852423566 D2(43,331) = 0.1432800000850657084 C1(43,331) = 0.8697592038566497371 C2(43,331) = 2.027596599067646924 C3(43,331) = 3.165158531093855337 C4(43,331) = 2648 Sum = 4745.280222159378132 Averaged sum = 0.4741013310180215937 logp*logq = 21.82292830473595343 -------------- ************************************* p = 43; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3213082491.323081769 -------------- Searches starting with [43,337]-exponents: u = 3, v = 9 n_start has 28 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(43,337) = 0.7067166556648556623 D2(43,337) = 0.03131261700322848519 C1(43,337) = 0.8943185225606635655 C2(43,337) = 2.010884786116966678 C3(43,337) = 3.269829386000035969 C4(43,337) = 2696 Sum = 4664.624794503466348 Averaged sum = 0.4660430407137043009 logp*logq = 21.89049659098743073 -------------- ************************************* p = 43; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3586637744.094840476 -------------- Searches starting with [43,347]-exponents: u = 3, v = 9 n_start has 28 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(43,347) = 1.096426472895761191 D2(43,347) = 0.08908231190393812976 C1(43,347) = 1.646855040411355924 C2(43,347) = 1.151740430890450112 C3(43,347) = 8.860928841016283084 C4(43,347) = 2776 Sum = 4019.613687328134449 Averaged sum = 0.4015999287968962383 logp*logq = 22.00048103906534836 -------------- ************************************* p = 43; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3665011064.273736823 -------------- Searches starting with [43,349]-exponents: u = 3, v = 7 n_start has 23 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(43,349) = 1.132628534684542585 D2(43,349) = 0.1181723478388049206 C1(43,349) = 1.431682246295727059 C2(43,349) = 1.372666085771111955 C3(43,349) = 6.663227647922674491 C4(43,349) = 2792 Sum = 5372.865102169850825 Averaged sum = 0.5368033871685334025 logp*logq = 22.02209719118189797 -------------- ************************************* p = 43; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3825520351.002296040 -------------- Searches starting with [43,353]-exponents: u = 3, v = 7 n_start has 23 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(43,353) = 0.7361852288357639955 D2(43,353) = 0.1279165477407653741 C1(43,353) = 1.002401077725517184 C2(43,353) = 1.920790419969829624 C3(43,353) = 3.773182784806133814 C4(43,353) = 2824 Sum = 4361.046014923179542 Averaged sum = 0.4357124602780676933 logp*logq = 22.06496033445010415 -------------- ************************************* p = 43; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4075881373.568536856 -------------- Searches starting with [43,359]-exponents: u = 3, v = 7 n_start has 23 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(43,359) = 0.7550850520059406081 D2(43,359) = 0.01084122278212900064 C1(43,359) = 0.9984128600945095049 C2(43,359) = 2.130254899889298794 C3(43,359) = 3.753300332130675163 C4(43,359) = 2872 Sum = 4676.022986440841161 Averaged sum = 0.4671818349925907844 logp*logq = 22.12835284824464051 -------------- ************************************* p = 43; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4428149732.351111774 -------------- Searches starting with [43,367]-exponents: u = 3, v = 7 n_start has 23 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(43,367) = 0.8908675084395629670 D2(43,367) = 0.05676904797130505717 C1(43,367) = 1.383212095313085408 C2(43,367) = 1.297950430181331760 C3(43,367) = 6.248826861229832991 C4(43,367) = 2936 Sum = 4948.072198280222832 Averaged sum = 0.4943622937636350117 logp*logq = 22.21124766611519931 -------------- ************************************* p = 43; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4706646224.290082916 -------------- Searches starting with [43,373]-exponents: u = 11, v = 5 n_start has 31 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(43,373) = 0.7493404243181436842 D2(43,373) = 0.06993142686860246994 C1(43,373) = 0.9799809689713479471 C2(43,373) = 2.013930792430628997 C3(43,373) = 3.662764218563633177 C4(43,373) = 2984 Sum = 4168.271622871822146 Averaged sum = 0.4164523551675314363 logp*logq = 22.27224143705282155 -------------- ************************************* p = 43; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4997791048.641501599 -------------- Searches starting with [43,379]-exponents: u = 11, v = 5 n_start has 31 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(43,379) = 0.7975233096107070093 D2(43,379) = 0.05219364121379066209 C1(43,379) = 1.108170474086507696 C2(43,379) = 1.999577804954783621 C3(43,379) = 4.340700032877001666 C4(43,379) = 3032 Sum = 4261.737276021995747 Averaged sum = 0.4257905161376756666 logp*logq = 22.33226186149073756 -------------- ************************************* p = 43; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5199092299.225777335 -------------- Searches starting with [43,383]-exponents: u = 11, v = 5 n_start has 31 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(43,383) = 1.000259511113477039 D2(43,383) = 0.04090847434753413560 C1(43,383) = 1.314296589138207880 C2(43,383) = 1.990518876397556130 C3(43,383) = 5.703606808635060385 C4(43,383) = 3064 Sum = 4686.429178317910507 Averaged sum = 0.4682215184651723955 logp*logq = 22.37174988945560302 -------------- ************************************* p = 43; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5512120970.477715545 -------------- Searches starting with [43,389]-exponents: u = 19, v = 5 n_start has 44 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(43,389) = 0.6570929928312923391 D2(43,389) = 0.02254455551145323057 C1(43,389) = 0.8254485380979038586 C2(43,389) = 1.804347898883404220 C3(43,389) = 2.984711572656598940 C4(43,389) = 3112 Sum = 4647.239819020392958 Averaged sum = 0.4643061064062736495 logp*logq = 22.43021531716543926 -------------- ************************************* p = 43; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5950742455.900619290 -------------- Searches starting with [43,397]-exponents: u = 35, v = 5 n_start has 71 digits starting right neighbors generation We generated 375 left neighbors We generated 9635 right neighbors We generated 10009 non-negative rho_i D1(43,397) = 1.102578658843550732 D2(43,397) = 0.003552162580032224801 C1(43,397) = 1.513404242476567436 C2(43,397) = 1.610023694403041922 C3(43,397) = 7.425085797166227555 C4(43,397) = 3176 Sum = 3606.592155907371479 Averaged sum = 0.3603349141679859605 logp*logq = 22.50678183122356621 -------------- ************************************* p = 43; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6179408635.866664398 -------------- Searches starting with [43,401]-exponents: u = 43, v = 5 n_start has 84 digits starting right neighbors generation We generated 758 left neighbors We generated 9252 right neighbors We generated 10009 non-negative rho_i D1(43,401) = 0.8048165054150443622 D2(43,401) = 0.05101257487455872156 C1(43,401) = 1.075986081844361949 C2(43,401) = 1.837845036769728329 C3(43,401) = 4.159520248817996127 C4(43,401) = 3208 Sum = 4851.710783886670024 Averaged sum = 0.4847348170533190153 logp*logq = 22.54448841384821858 -------------- ************************************* p = 43; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6656010650.879798446 -------------- Searches starting with [43,409]-exponents: u = 283, v = 5 n_start has 476 digits --- performed 5000 steps in the continued fraction search [43,409]-exponents: u = 95, v = 104 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,409) = 0.6930405860962765954 D2(43,409) = 0.2431716963977447551 C1(43,409) = 0.8556667300165899268 C2(43,409) = 1.438054757238607628 C3(43,409) = 3.106616855708206243 C4(43,409) = 3272 Sum = 5537.867596451966732 Averaged sum = 0.5538421438595826314 logp*logq = 22.61878614065631573 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,409) = 0.6930405860962765954 D2(43,409) = 0.2431716963977447551 C1(43,409) = 0.8556667300165899268 C2(43,409) = 1.438054757238607628 C3(43,409) = 3.106616855708206243 C4(43,409) = 3272 Sum = 5537.867596451966732 Averaged sum = 0.5538421438595826314 logp*logq = 22.61878614065631573 -------------- ************************************* p = 43; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7289062709.048878076 -------------- Searches starting with [43,419]-exponents: u = 8, v = 33 n_start has 100 digits starting right neighbors generation We generated 686 left neighbors We generated 9324 right neighbors We generated 10009 non-negative rho_i D1(43,419) = 0.9441274651534548846 D2(43,419) = 0.0002819126266583343280 C1(43,419) = 1.248374603991265537 C2(43,419) = 1.506483251367462483 C3(43,419) = 5.226643969778049042 C4(43,419) = 3352 Sum = 5449.533811331366944 Averaged sum = 0.5444633641054417968 logp*logq = 22.70964080255394061 -------------- ************************************* p = 43; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7420789671.102567281 -------------- Searches starting with [43,421]-exponents: u = 8, v = 28 n_start has 87 digits starting right neighbors generation We generated 555 left neighbors We generated 9455 right neighbors We generated 10009 non-negative rho_i D1(43,421) = 0.9832094987393359394 D2(43,421) = 0.005784421733880294716 C1(43,421) = 1.267288955296818685 C2(43,421) = 1.555305108879308838 C3(43,421) = 5.359260211302404246 C4(43,421) = 3368 Sum = 5232.187809340011953 Averaged sum = 0.5227483074572896346 logp*logq = 22.72755131313989193 -------------- ************************************* p = 43; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8105806148.587184485 -------------- Searches starting with [43,431]-exponents: u = 8, v = 13 n_start has 48 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(43,431) = 0.8662689764225180064 D2(43,431) = 0.03895056546022521062 C1(43,431) = 1.159620044484133647 C2(43,431) = 1.812067880190245935 C3(43,431) = 4.646865184695634599 C4(43,431) = 3448 Sum = 4641.088219906099202 Averaged sum = 0.4636914996409330804 logp*logq = 22.81584645030787117 -------------- ************************************* p = 43; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8248188561.722020958 -------------- Searches starting with [43,433]-exponents: u = 8, v = 13 n_start has 48 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(43,433) = 1.096775814510590712 D2(43,433) = 0.04564238871705385441 C1(43,433) = 1.418095723375515137 C2(43,433) = 1.819640938307655260 C3(43,433) = 6.544371809916960219 C4(43,433) = 3464 Sum = 4946.932146257498722 Averaged sum = 0.4942483910737834671 logp*logq = 22.83325944490823910 -------------- ************************************* p = 43; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8686360696.563598359 -------------- Searches starting with [43,439]-exponents: u = 8, v = 8 n_start has 35 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(43,439) = 0.9306183084759441309 D2(43,439) = 0.07190254763874708081 C1(43,439) = 1.238260688070958550 C2(43,439) = 2.000569497683870218 C3(43,439) = 5.157082920270184073 C4(43,439) = 3512 Sum = 4974.321210557885843 Averaged sum = 0.4969848347045544852 logp*logq = 22.88501989639574714 -------------- ************************************* p = 43; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8987812447.662702622 -------------- Searches starting with [43,443]-exponents: u = 8, v = 8 n_start has 35 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(43,443) = 0.6713139217603550648 D2(43,443) = 0.08731640586692615520 C1(43,443) = 0.8736862985105986132 C2(43,443) = 2.017706223308274275 C3(43,443) = 3.181667769119072941 C4(43,443) = 3544 Sum = 4724.463668786200165 Averaged sum = 0.4720215474858827221 logp*logq = 22.91913532408055873 -------------- ************************************* p = 43; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9454297073.946179480 -------------- Searches starting with [43,449]-exponents: u = 8, v = 8 n_start has 35 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(43,449) = 0.8263941782003860136 D2(43,449) = 0.09011818749465265736 C1(43,449) = 1.253342247356771620 C2(43,449) = 1.367574176801286563 C3(43,449) = 5.261153030742119143 C4(43,449) = 3592 Sum = 4612.961882277508777 Averaged sum = 0.4608813949722758295 logp*logq = 22.96973519191940053 -------------- ************************************* p = 43; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10103622687.54436468 -------------- Searches starting with [43,457]-exponents: u = 13, v = 3 n_start has 30 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(43,457) = 0.8137479851304865298 D2(43,457) = 0.08616575456072896504 C1(43,457) = 1.010291806447305627 C2(43,457) = 2.111994923867940006 C3(43,457) = 3.812831290994603542 C4(43,457) = 3656 Sum = 4062.266618560162194 Averaged sum = 0.4058613866080689574 logp*logq = 23.03615987841772292 -------------- ************************************* p = 43; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10440281983.12131005 -------------- Searches starting with [43,461]-exponents: u = 13, v = 3 n_start has 30 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(43,461) = 0.6856876180147757697 D2(43,461) = 0.06091051087358382591 C1(43,461) = 0.8804718679033411942 C2(43,461) = 2.088739508685786395 C3(43,461) = 3.210397037609583470 C4(43,461) = 3688 Sum = 4839.977423219631342 Averaged sum = 0.4835625360395275594 logp*logq = 23.06893742891366376 -------------- ************************************* p = 43; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10611665013.12889716 -------------- Searches starting with [43,463]-exponents: u = 13, v = 3 n_start has 30 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(43,463) = 0.8241433702661690626 D2(43,463) = 0.04888921371131050391 C1(43,463) = 1.142075280332347273 C2(43,463) = 2.077711533773375918 C3(43,463) = 4.540107186526217376 C4(43,463) = 3704 Sum = 4090.435617752556999 Averaged sum = 0.4086757535970183834 logp*logq = 23.08521970592465167 -------------- ************************************* p = 43; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10960615931.69945322 -------------- Searches starting with [43,467]-exponents: u = 13, v = 3 n_start has 30 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(43,467) = 1.266606096518930485 D2(43,467) = 0.02591184434046468004 C1(43,467) = 1.665665653616316022 C2(43,467) = 2.056707815227706739 C3(43,467) = 9.084509680702406124 C4(43,467) = 3736 Sum = 6235.158164136268262 Averaged sum = 0.6229551567725315478 logp*logq = 23.11757431503498422 -------------- ************************************* p = 43; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12058082284.00447680 -------------- Searches starting with [43,479]-exponents: u = 18, v = 3 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(43,479) = 0.7071799030071489946 D2(43,479) = 0.1129630333330351038 C1(43,479) = 0.9324440670809161498 C2(43,479) = 2.016577537959255356 C3(43,479) = 3.439218168293422321 C4(43,479) = 3832 Sum = 4622.092889642389100 Averaged sum = 0.4617936746570475672 logp*logq = 23.21300100100796271 -------------- ************************************* p = 43; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12833178642.65829945 -------------- Searches starting with [43,487]-exponents: u = 23, v = 3 n_start has 46 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(43,487) = 0.7977476111044077844 D2(43,487) = 0.03984415397319019316 C1(43,487) = 1.066530294342904496 C2(43,487) = 1.947088975139707061 C3(43,487) = 4.107741240772942270 C4(43,487) = 3896 Sum = 4441.982426284085155 Averaged sum = 0.4437988236870901344 logp*logq = 23.27529973568055834 -------------- ************************************* p = 43; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13234148986.73808839 -------------- Searches starting with [43,491]-exponents: u = 28, v = 3 n_start has 54 digits starting right neighbors generation We generated 271 left neighbors We generated 9739 right neighbors We generated 10009 non-negative rho_i D1(43,491) = 0.7813496233512527882 D2(43,491) = 0.008002611993226373175 C1(43,491) = 1.091979898748663607 C2(43,491) = 1.917040050936924659 C3(43,491) = 4.248590841354979171 C4(43,491) = 3928 Sum = 4323.311152246558206 Averaged sum = 0.4319423670942709767 logp*logq = 23.30606637034944630 -------------- ************************************* p = 43; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14063586358.66718155 -------------- Searches starting with [43,499]-exponents: u = 33, v = 3 n_start has 62 digits starting right neighbors generation We generated 324 left neighbors We generated 9686 right neighbors We generated 10009 non-negative rho_i D1(43,499) = 0.7007285459251402990 D2(43,499) = 0.02535240423155207986 C1(43,499) = 0.8785486821313556647 C2(43,499) = 1.845507569531268524 C3(43,499) = 3.202228263373733886 C4(43,499) = 3992 Sum = 4694.284997172611647 Averaged sum = 0.4690063939626947394 logp*logq = 23.36685476609914315 -------------- ************************************* p = 43; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14492316762.09288860 -------------- Searches starting with [43,503]-exponents: u = 43, v = 3 n_start has 79 digits starting right neighbors generation We generated 518 left neighbors We generated 9492 right neighbors We generated 10009 non-negative rho_i D1(43,503) = 1.098508634049145162 D2(43,503) = 0.05051605202856322133 C1(43,503) = 1.485416052096671819 C2(43,503) = 1.803003926952304083 C3(43,503) = 7.154826887069379260 C4(43,503) = 4024 Sum = 3477.583528358148926 Averaged sum = 0.3474456517492405761 logp*logq = 23.39688446746137626 -------------- ************************************* p = 43; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15153300514.29834779 -------------- Searches starting with [43,509]-exponents: u = 53, v = 3 n_start has 95 digits starting right neighbors generation We generated 757 left neighbors We generated 9253 right neighbors We generated 10009 non-negative rho_i D1(43,509) = 0.7923721859124595868 D2(43,509) = 0.02321249365853818443 C1(43,509) = 1.050891296789986354 C2(43,509) = 1.723326241766379140 C3(43,509) = 4.023514302317791873 C4(43,509) = 4072 Sum = 4986.864183200747876 Averaged sum = 0.4982380041163700545 logp*logq = 23.44148420090393979 -------------- ************************************* p = 43; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16541327458.57486765 -------------- Searches starting with [43,521]-exponents: u = 158, v = 3 n_start has 267 digits --- performed 5000 steps in the continued fraction search [43,521]-exponents: u = 38, v = 35 --- starting right neighbors generation We generated 6346 left neighbors We generated 3664 right neighbors We generated 10009 non-negative rho_i D1(43,521) = 0.6866539432583473381 D2(43,521) = 0.002726074798760717184 C1(43,521) = 0.8652335994415974266 C2(43,521) = 1.462265412167510079 C3(43,521) = 3.146239413377269493 C4(43,521) = 4168 Sum = 5165.757547039768803 Averaged sum = 0.5161112545748595068 logp*logq = 23.52912778079277161 -------------- ************************************* p = 43; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16781426173.48635306 -------------- Searches starting with [43,523]-exponents: u = 228, v = 3 n_start has 381 digits --- performed 5000 steps in the continued fraction search [43,523]-exponents: u = 173, v = 12 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,523) = 0.6962036211967224797 D2(43,523) = 0.07960101141785228914 C1(43,523) = 0.8660744520050591572 C2(43,523) = 1.395410516859467804 C3(43,523) = 3.149745991726556407 C4(43,523) = 4184 Sum = 5377.597291978963147 Averaged sum = 0.5378135105489512097 logp*logq = 23.54353852683426687 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,523) = 0.6962036211967224797 D2(43,523) = 0.07960101141785228914 C1(43,523) = 0.8660744520050591572 C2(43,523) = 1.395410516859467804 C3(43,523) = 3.149745991726556407 C4(43,523) = 4184 Sum = 5377.597291978963147 Averaged sum = 0.5378135105489512097 logp*logq = 23.54353852683426687 -------------- ************************************* p = 43; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19059077223.53777822 -------------- Searches starting with [43,541]-exponents: u = 5, v = 49 n_start has 143 digits starting right neighbors generation We generated 1710 left neighbors We generated 8300 right neighbors We generated 10009 non-negative rho_i D1(43,541) = 0.7580304046955328227 D2(43,541) = 0.02299718239762935682 C1(43,541) = 0.9537835968354731049 C2(43,541) = 1.626938788283361744 C3(43,541) = 3.537829688192164113 C4(43,541) = 4328 Sum = 4904.278864587724216 Averaged sum = 0.4899868982503471092 logp*logq = 23.67080931970548249 -------------- ************************************* p = 43; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19866357597.45875941 -------------- Searches starting with [43,547]-exponents: u = 5, v = 34 n_start has 102 digits starting right neighbors generation We generated 917 left neighbors We generated 9093 right neighbors We generated 10009 non-negative rho_i D1(43,547) = 0.8461103403538583015 D2(43,547) = 0.004940919899942236446 C1(43,547) = 1.062893901710721936 C2(43,547) = 1.731398675325042347 C3(43,547) = 4.088000736918549468 C4(43,547) = 4376 Sum = 4691.654559415773546 Averaged sum = 0.4687435867135351729 logp*logq = 23.71229356505369678 -------------- ************************************* p = 43; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21267227545.51012770 -------------- Searches starting with [43,557]-exponents: u = 5, v = 22 n_start has 69 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(43,557) = 0.6403263541912296469 D2(43,557) = 0.06448870518243482721 C1(43,557) = 0.8344618005047291023 C2(43,557) = 1.852370848193834118 C3(43,557) = 3.020563274080832464 C4(43,557) = 4456 Sum = 4513.320442047004512 Averaged sum = 0.4509262106151468191 logp*logq = 23.78043311189459692 -------------- ************************************* p = 43; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22141778042.95115784 -------------- Searches starting with [43,563]-exponents: u = 5, v = 19 n_start has 61 digits starting right neighbors generation We generated 310 left neighbors We generated 9700 right neighbors We generated 10009 non-negative rho_i D1(43,563) = 0.7584352718563498796 D2(43,563) = 0.03969784600170791250 C1(43,563) = 1.048356654619362151 C2(43,563) = 1.904490248085318957 C3(43,563) = 4.010027055387239949 C4(43,563) = 4504 Sum = 4258.201129216544392 Averaged sum = 0.4254372194241726838 logp*logq = 23.82073207007868547 -------------- ************************************* p = 43; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23042445825.99381526 -------------- Searches starting with [43,569]-exponents: u = 5, v = 16 n_start has 53 digits starting right neighbors generation We generated 203 left neighbors We generated 9807 right neighbors We generated 10009 non-negative rho_i D1(43,569) = 0.6415831469198274916 D2(43,569) = 0.09499698178203770214 C1(43,569) = 0.8995016930520206053 C2(43,569) = 1.961561495308088240 C3(43,569) = 3.292358414792949213 C4(43,569) = 4552 Sum = 4439.105911515781632 Averaged sum = 0.4435114308638007425 logp*logq = 23.86060382278208287 -------------- ************************************* p = 43; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23348557216.52892916 -------------- Searches starting with [43,571]-exponents: u = 5, v = 13 n_start has 45 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(43,571) = 1.113024865809760156 D2(43,571) = 0.1152550913661405477 C1(43,571) = 1.560397260303216324 C2(43,571) = 1.982406094521067900 C3(43,571) = 7.902014131208456885 C4(43,571) = 4568 Sum = 4695.937207080084934 Averaged sum = 0.4691714663882590603 logp*logq = 23.87380102971025538 -------------- ************************************* p = 43; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24284814356.63930435 -------------- Searches starting with [43,577]-exponents: u = 5, v = 13 n_start has 45 digits starting right neighbors generation We generated 165 left neighbors We generated 9845 right neighbors We generated 10009 non-negative rho_i D1(43,577) = 0.7405521779955067777 D2(43,577) = 0.03074764318848454768 C1(43,577) = 0.9707011333832852603 C2(43,577) = 2.001916658105430649 C3(43,577) = 3.618012209751567553 C4(43,577) = 4616 Sum = 4763.779451129526213 Averaged sum = 0.4759495904815192540 logp*logq = 23.91311706835168521 -------------- ************************************* p = 43; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25906094578.63402537 -------------- Searches starting with [43,587]-exponents: u = 5, v = 10 n_start has 36 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(43,587) = 0.8499310089831491256 D2(43,587) = 0.09561388981617359472 C1(43,587) = 1.094424900143057061 C2(43,587) = 2.069811263191042431 C3(43,587) = 4.262374279732832675 C4(43,587) = 4696 Sum = 4861.422304163002937 Averaged sum = 0.4857050958300532458 logp*logq = 23.97774408988676830 -------------- ************************************* p = 43; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26916192987.43343282 -------------- Searches starting with [43,593]-exponents: u = 5, v = 10 n_start has 36 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(43,593) = 0.9721640762466285119 D2(43,593) = 0.1397004338453323429 C1(43,593) = 1.272334125874522253 C2(43,593) = 2.115689723781246585 C3(43,593) = 5.395198950676054034 C4(43,593) = 4744 Sum = 5452.572732851828067 Averaged sum = 0.5447669830004823725 logp*logq = 24.01599391223613176 -------------- ************************************* p = 43; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27954909182.66648224 -------------- Searches starting with [43,599]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(43,599) = 1.057986876198892551 D2(43,599) = 0.1067401534308020636 C1(43,599) = 1.552674476241493085 C2(43,599) = 1.221547495011245374 C3(43,599) = 7.821583394042733071 C4(43,599) = 4792 Sum = 3765.651569477904410 Averaged sum = 0.3762265530500454001 logp*logq = 24.05385866272242501 -------------- ************************************* p = 43; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28307595789.84328514 -------------- Searches starting with [43,601]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(43,601) = 0.7374165213871635211 D2(43,601) = 0.1410925067955216618 C1(43,601) = 1.082213623698479295 C2(43,601) = 1.486068824567365273 C3(43,601) = 4.193977655338014038 C4(43,601) = 4808 Sum = 4764.121053105277001 Averaged sum = 0.4759837199625613948 logp*logq = 24.06639600805006523 -------------- ************************************* p = 43; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29385266033.82011298 -------------- Searches starting with [43,607]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(43,607) = 0.8125480874225024703 D2(43,607) = 0.1418679536834132560 C1(43,607) = 1.093695702670255883 C2(43,607) = 1.990543444884185765 C3(43,607) = 4.258258832729859736 C4(43,607) = 4856 Sum = 4390.531032983263654 Averaged sum = 0.4386583108185896348 logp*logq = 24.10375923035851060 -------------- ************************************* p = 43; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30492754641.64732189 -------------- Searches starting with [43,613]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(43,613) = 0.6963528421586670530 D2(43,613) = 0.01957694501778739178 C1(43,613) = 0.9703071301106561312 C2(43,613) = 2.154323927194466616 C3(43,613) = 3.616124276896551617 C4(43,613) = 4904 Sum = 4580.583192110265171 Averaged sum = 0.4576464374173509013 logp*logq = 24.14075493960678269 -------------- ************************************* p = 43; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31247903285.97089146 -------------- Searches starting with [43,617]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(43,617) = 0.8709540701631977095 D2(43,617) = 0.03336841483093794048 C1(43,617) = 1.181655165349635375 C2(43,617) = 2.169358441523614270 C3(43,617) = 4.784509932792281947 C4(43,617) = 4936 Sum = 4467.206332578512016 Averaged sum = 0.4463189462062655626 logp*logq = 24.16521811602893013 -------------- ************************************* p = 43; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31630582663.10640635 -------------- Searches starting with [43,619]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(43,619) = 0.8444689133326475048 D2(43,619) = 0.04038160102785455903 C1(43,619) = 1.090701014801507855 C2(43,619) = 2.176990067818958373 C3(43,619) = 4.241399030927104864 C4(43,619) = 4952 Sum = 4850.308073394900740 Averaged sum = 0.4845946721345689619 logp*logq = 24.17739029531170149 -------------- ************************************* p = 43; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33999360620.34546957 -------------- Searches starting with [43,631]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(43,631) = 1.502606906695380656 D2(43,631) = 0.04171408218607988050 C1(43,631) = 2.303690709016811952 C2(43,631) = 1.076047178776426483 C3(43,631) = 21.15310749156501805 C4(43,631) = 5048 Sum = 2726.917782863183421 Averaged sum = 0.2724465763675875134 logp*logq = 24.24960755610179420 -------------- ************************************* p = 43; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36070714526.33024527 -------------- Searches starting with [43,641]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(43,641) = 0.7738434279272666717 D2(43,641) = 0.05691477451383995613 C1(43,641) = 0.9872354701706350101 C2(43,641) = 2.136908621298154724 C3(43,641) = 3.698134219121159881 C4(43,641) = 5128 Sum = 4757.724073787704807 Averaged sum = 0.4753445972412533527 logp*logq = 24.30874714110092607 -------------- ************************************* p = 43; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36495846074.99240228 -------------- Searches starting with [43,643]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(43,643) = 0.6066175036144358322 D2(43,643) = 0.05179249682917246749 C1(43,643) = 0.7818907909477400018 C2(43,643) = 2.132466958614644285 C3(43,643) = 2.817360658546854168 C4(43,643) = 5144 Sum = 4744.572686175153508 Averaged sum = 0.4740306410405788299 logp*logq = 24.32046428489385233 -------------- ************************************* p = 43; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37357130166.53177537 -------------- Searches starting with [43,647]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(43,647) = 0.7129452983368458630 D2(43,647) = 0.04177006915748678244 C1(43,647) = 0.9323843395315211896 C2(43,647) = 2.123799316845909557 C3(43,647) = 3.438946056563309174 C4(43,647) = 5176 Sum = 4637.947720248675511 Averaged sum = 0.4633777320660081438 logp*logq = 24.34378963168558725 -------------- ************************************* p = 43; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38676911176.43381484 -------------- Searches starting with [43,653]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(43,653) = 0.6569269414738745360 D2(43,653) = 0.02725615838305288600 C1(43,653) = 0.8549656750700016088 C2(43,653) = 2.111301674712769042 C3(43,653) = 3.103733035886320366 C4(43,653) = 5224 Sum = 4398.232922562081655 Averaged sum = 0.4394278072297014342 logp*logq = 24.37850864851126072 -------------- ************************************* p = 43; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40030604415.72626376 -------------- Searches starting with [43,659]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(43,659) = 0.6333209963141275207 D2(43,659) = 0.01331495439930847789 C1(43,659) = 0.9183475133897023019 C2(43,659) = 2.099357960543365227 C3(43,659) = 3.375589336614082805 C4(43,659) = 5272 Sum = 4738.479096317479331 Averaged sum = 0.4734218299847616476 logp*logq = 24.41291010890575857 -------------- ************************************* p = 43; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40489466618.42621109 -------------- Searches starting with [43,661]-exponents: u = 12, v = 4 n_start has 31 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(43,661) = 0.8062469117358730133 D2(43,661) = 0.008786263174842322226 C1(43,661) = 1.169041318390956929 C2(43,661) = 2.095490985871597934 C3(43,661) = 4.705224837343875329 C4(43,661) = 5288 Sum = 4558.952742806238268 Averaged sum = 0.4554853374768946217 logp*logq = 24.42430769373567769 -------------- ************************************* p = 43; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43324203463.27630144 -------------- Searches starting with [43,673]-exponents: u = 19, v = 4 n_start has 43 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(43,673) = 0.7228891905113082376 D2(43,673) = 0.1278073172587438514 C1(43,673) = 0.9243462940523611025 C2(43,673) = 2.050363720942798514 C3(43,673) = 3.402521384805247356 C4(43,673) = 5384 Sum = 4696.102993057724432 Averaged sum = 0.4691880300787016117 logp*logq = 24.49197728722676500 -------------- ************************************* p = 43; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44300683631.03587689 -------------- Searches starting with [43,677]-exponents: u = 19, v = 4 n_start has 43 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(43,677) = 0.8192507778964703198 D2(43,677) = 0.1029755126646534050 C1(43,677) = 1.015386158690841526 C2(43,677) = 2.026770313979689183 C3(43,677) = 3.838649901389900928 C4(43,677) = 5416 Sum = 4477.112787877062544 Averaged sum = 0.4473087009568450938 logp*logq = 24.51426594573025697 -------------- ************************************* p = 43; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45795571025.52444605 -------------- Searches starting with [43,683]-exponents: u = 26, v = 4 n_start has 54 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(43,683) = 0.8518734689746312221 D2(43,683) = 0.06886221377799292213 C1(43,683) = 1.128638966223845832 C2(43,683) = 1.994500783194757533 C3(43,683) = 4.460010071013287767 C4(43,683) = 5464 Sum = 4464.000988146692536 Averaged sum = 0.4459986999846830388 logp*logq = 24.54745322089109603 -------------- ************************************* p = 43; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47845947598.65156590 -------------- Searches starting with [43,691]-exponents: u = 33, v = 4 n_start has 66 digits starting right neighbors generation We generated 401 left neighbors We generated 9609 right neighbors We generated 10009 non-negative rho_i D1(43,691) = 0.9298696197043849060 D2(43,691) = 0.02797745796301246607 C1(43,691) = 1.165593725550239760 C2(43,691) = 1.956049025445108824 C3(43,691) = 4.683784332592713765 C4(43,691) = 5528 Sum = 4515.361972922883175 Averaged sum = 0.4511301801301711634 logp*logq = 24.59125226157564785 -------------- ************************************* p = 43; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50502739677.58513130 -------------- Searches starting with [43,701]-exponents: u = 54, v = 4 n_start has 100 digits **************************************************** Computing .... elapsed time = 8 minutes **************************************************** starting right neighbors generation We generated 940 left neighbors We generated 9070 right neighbors We generated 10009 non-negative rho_i D1(43,701) = 0.8064101570925764509 D2(43,701) = 0.03451857456027875428 C1(43,701) = 0.9963602981763121553 C2(43,701) = 1.858123492727294491 C3(43,701) = 3.743108569647872136 C4(43,701) = 5608 Sum = 3786.628364488818877 Averaged sum = 0.3783223463371784271 logp*logq = 24.64529342279748051 -------------- ************************************* p = 43; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52704894649.92037256 -------------- Searches starting with [43,709]-exponents: u = 89, v = 4 n_start has 157 digits starting right neighbors generation We generated 2427 left neighbors We generated 7583 right neighbors We generated 10009 non-negative rho_i D1(43,709) = 0.7944199900880628335 D2(43,709) = 0.01087757068053083687 C1(43,709) = 1.028878371343753523 C2(43,709) = 1.759825023295558901 C3(43,709) = 3.907877409471034441 C4(43,709) = 5672 Sum = 4311.274394071750936 Averaged sum = 0.4307397736109252608 logp*logq = 24.68797416578846705 -------------- ************************************* p = 43; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55555752313.91680668 -------------- Searches starting with [43,719]-exponents: u = 383, v = 4 n_start has 638 digits --- performed 5000 steps in the continued fraction search [43,719]-exponents: u = 349, v = 10 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,719) = 0.6073924010037816414 D2(43,719) = 0.2746474355306116841 C1(43,719) = 0.7426699923982445175 C2(43,719) = 1.482250506929750000 C3(43,719) = 2.674716047893290274 C4(43,719) = 5752 Sum = 5596.302035362631329 Averaged sum = 0.5596861721534784807 logp*logq = 24.74065289967661441 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,719) = 0.6073924010037816414 D2(43,719) = 0.2746474355306116841 C1(43,719) = 0.7426699923982445175 C2(43,719) = 1.482250506929750000 C3(43,719) = 2.674716047893290274 C4(43,719) = 5752 Sum = 5596.302035362631329 Averaged sum = 0.5596861721534784807 logp*logq = 24.74065289967661441 -------------- ************************************* p = 43; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57916666485.51762705 -------------- Searches starting with [43,727]-exponents: u = 7, v = 137 n_start has 404 digits --- performed 5000 steps in the continued fraction search [43,727]-exponents: u = 76, v = 75 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,727) = 0.7752546752787311180 D2(43,727) = 0.1442237114292813407 C1(43,727) = 0.9626434939873742746 C2(43,727) = 1.489464178973868870 C3(43,727) = 3.579597986734759344 C4(43,727) = 5816 Sum = 5312.759022353450094 Averaged sum = 0.5313290351388588953 logp*logq = 24.78227102959544977 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,727) = 0.7752546752787311180 D2(43,727) = 0.1442237114292813407 C1(43,727) = 0.9626434939873742746 C2(43,727) = 1.489464178973868870 C3(43,727) = 3.579597986734759344 C4(43,727) = 5816 Sum = 5312.759022353450094 Averaged sum = 0.5313290351388588953 logp*logq = 24.78227102959544977 -------------- ************************************* p = 43; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59735073292.96431118 -------------- Searches starting with [43,733]-exponents: u = 7, v = 61 n_start has 187 digits starting right neighbors generation We generated 3434 left neighbors We generated 6576 right neighbors We generated 10009 non-negative rho_i D1(43,733) = 0.6305724884772997514 D2(43,733) = 0.003435586123279856687 C1(43,733) = 0.8093407307786251196 C2(43,733) = 1.724892018540376097 C3(43,733) = 2.921696646201493865 C4(43,733) = 5864 Sum = 4505.211796020376905 Averaged sum = 0.4501160751344167155 logp*logq = 24.81318517718336167 -------------- ************************************* p = 43; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61595047372.76199221 -------------- Searches starting with [43,739]-exponents: u = 7, v = 37 n_start has 118 digits starting right neighbors generation We generated 1300 left neighbors We generated 8710 right neighbors We generated 10009 non-negative rho_i D1(43,739) = 0.8073343404330982923 D2(43,739) = 0.02306707936674285924 C1(43,739) = 1.057413846125076184 C2(43,739) = 1.812260557774039519 C3(43,739) = 4.058430793414262854 C4(43,739) = 5912 Sum = 5100.429542499733502 Averaged sum = 0.5095843283544543413 logp*logq = 24.84384730446082386 -------------- ************************************* p = 43; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62858419712.64901097 -------------- Searches starting with [43,743]-exponents: u = 7, v = 29 n_start has 95 digits starting right neighbors generation We generated 870 left neighbors We generated 9140 right neighbors We generated 10009 non-negative rho_i D1(43,743) = 1.057217878834827009 D2(43,743) = 0.004438799332660532182 C1(43,743) = 1.402140042708521667 C2(43,743) = 1.883814826320317844 C3(43,743) = 6.407494473397070734 C4(43,743) = 5944 Sum = 5686.947072645486301 Averaged sum = 0.5681833422565177640 logp*logq = 24.86415072820741128 -------------- ************************************* p = 43; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65442105515.37594753 -------------- Searches starting with [43,751]-exponents: u = 7, v = 21 n_start has 72 digits starting right neighbors generation We generated 452 left neighbors We generated 9558 right neighbors We generated 10009 non-negative rho_i D1(43,751) = 0.6827001880273317900 D2(43,751) = 0.04884665602307827365 C1(43,751) = 0.8589997586000382866 C2(43,751) = 1.930026006258050776 C3(43,751) = 3.120364107822064898 C4(43,751) = 6008 Sum = 4672.414858125999696 Averaged sum = 0.4668213466006593761 logp*logq = 24.90443170346927170 -------------- ************************************* p = 43; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67430402970.34738335 -------------- Searches starting with [43,757]-exponents: u = 7, v = 17 n_start has 61 digits starting right neighbors generation We generated 285 left neighbors We generated 9725 right neighbors We generated 10009 non-negative rho_i D1(43,757) = 0.6232435421458847126 D2(43,757) = 0.08543382385111005996 C1(43,757) = 0.7900801791086092531 C2(43,757) = 1.967952886359763823 C3(43,757) = 2.848092022792533137 C4(43,757) = 6056 Sum = 4699.384049853968469 Averaged sum = 0.4695158407287409800 logp*logq = 24.93436183580358373 -------------- ************************************* p = 43; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68780337794.76187639 -------------- Searches starting with [43,761]-exponents: u = 7, v = 17 n_start has 61 digits starting right neighbors generation We generated 357 left neighbors We generated 9653 right neighbors We generated 10009 non-negative rho_i D1(43,761) = 0.6409626219943658231 D2(43,761) = 0.007228387458624499564 C1(43,761) = 0.8906429689777624313 C2(43,761) = 2.021558248648754172 C3(43,761) = 3.253946808588268909 C4(43,761) = 6088 Sum = 4425.657316202811226 Averaged sum = 0.4421677806177251699 logp*logq = 24.95418375317374131 -------------- ************************************* p = 43; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71539595980.53555046 -------------- Searches starting with [43,769]-exponents: u = 7, v = 13 n_start has 49 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(43,769) = 0.8861888873410920630 D2(43,769) = 0.03247762774949361171 C1(43,769) = 1.181877012086653404 C2(43,769) = 2.048709674881445363 C3(43,769) = 4.785916253420263245 C4(43,769) = 6152 Sum = 4347.723188478414804 Averaged sum = 0.4343813756097926670 logp*logq = 24.99351692329887501 -------------- ************************************* p = 43; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72949286189.65943314 -------------- Searches starting with [43,773]-exponents: u = 7, v = 13 n_start has 49 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(43,773) = 0.9565471372334026161 D2(43,773) = 0.04556416684875235842 C1(43,773) = 1.220320840995436041 C2(43,773) = 2.062739749552228807 C3(43,773) = 5.035966657985225149 C4(43,773) = 6184 Sum = 4707.480137729800172 Averaged sum = 0.4703247215236087693 logp*logq = 25.01303032694148572 -------------- ************************************* p = 43; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78044175775.93285464 -------------- Searches starting with [43,787]-exponents: u = 7, v = 9 n_start has 38 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(43,787) = 0.8512325789122929694 D2(43,787) = 0.09432356930544363316 C1(43,787) = 1.159036930634912735 C2(43,787) = 2.114762739399058905 C3(43,787) = 4.643276992296145964 C4(43,787) = 6296 Sum = 3746.429155971928055 Averaged sum = 0.3743060401610478624 logp*logq = 25.08054085941861813 -------------- ************************************* p = 43; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81839953531.90383505 -------------- Searches starting with [43,797]-exponents: u = 7, v = 9 n_start has 38 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(43,797) = 0.7177200230734189560 D2(43,797) = 0.1167348778568874767 C1(43,797) = 1.060751350389883615 C2(43,797) = 1.527608251035524021 C3(43,797) = 4.076414136394779398 C4(43,797) = 6376 Sum = 4744.027200143080757 Averaged sum = 0.4739761414869698029 logp*logq = 25.12803139079763463 -------------- ************************************* p = 43; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86571773779.22181826 -------------- Searches starting with [43,809]-exponents: u = 16, v = 5 n_start has 41 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(43,809) = 0.8916322526149094823 D2(43,809) = 0.1248304142356955611 C1(43,809) = 1.123800672842368322 C2(43,809) = 2.109612355587954699 C3(43,809) = 4.431515179656306950 C4(43,809) = 6472 Sum = 4635.917092598131772 Averaged sum = 0.4631748518931093787 logp*logq = 25.18423966150122893 -------------- ************************************* p = 43; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87379503649.42814365 -------------- Searches starting with [43,811]-exponents: u = 16, v = 5 n_start has 41 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(43,811) = 0.6514161318424387733 D2(43,811) = 0.1187657487784672729 C1(43,811) = 0.8287041959717656909 C2(43,811) = 2.104052859036628524 C3(43,811) = 2.997612116575704513 C4(43,811) = 6488 Sum = 4569.683010358042399 Averaged sum = 0.4565573993763655110 logp*logq = 25.19352658008538433 -------------- ************************************* p = 43; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91501417017.38753750 -------------- Searches starting with [43,821]-exponents: u = 16, v = 5 n_start has 41 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(43,821) = 0.6315886873852536896 D2(43,821) = 0.09007648101060336644 C1(43,821) = 0.7970651339802740854 C2(43,821) = 2.077870585854605246 C3(43,821) = 2.874568396865197830 C4(43,821) = 6568 Sum = 4685.350240310591190 Averaged sum = 0.4681137216815457279 logp*logq = 25.23962029563679728 -------------- ************************************* p = 43; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92342621071.82386035 -------------- Searches starting with [43,823]-exponents: u = 16, v = 5 n_start has 41 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(43,823) = 0.8238779813510139933 D2(43,823) = 0.08463468446501171342 C1(43,823) = 1.044423112876633554 C2(43,823) = 2.072926461496908967 C3(43,823) = 3.989185503949026523 C4(43,823) = 6584 Sum = 4827.879250839820387 Averaged sum = 0.4823538066579898478 logp*logq = 25.24877163863241223 -------------- ************************************* p = 43; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94042044029.72335946 -------------- Searches starting with [43,827]-exponents: u = 25, v = 5 n_start has 56 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(43,827) = 0.8671358811080194726 D2(43,827) = 0.06874942233703676642 C1(43,827) = 1.224008276968317200 C2(43,827) = 1.916470691838711179 C3(43,827) = 5.060626967783408321 C4(43,827) = 6616 Sum = 3990.419189223244286 Averaged sum = 0.3986831041286086807 logp*logq = 25.26700779612986461 -------------- ************************************* p = 43; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94900311502.05423428 -------------- Searches starting with [43,829]-exponents: u = 25, v = 5 n_start has 56 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(43,829) = 0.6663609033879012864 D2(43,829) = 0.06393451341582277217 C1(43,829) = 0.8465941702800658758 C2(43,829) = 1.912090918515481509 C3(43,829) = 3.069502636772218065 C4(43,829) = 6632 Sum = 4689.710758565419387 Averaged sum = 0.4685493814132699957 logp*logq = 25.27609282498108148 -------------- ************************************* p = 43; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99278184204.77808175 -------------- Searches starting with [43,839]-exponents: u = 34, v = 5 n_start has 71 digits starting right neighbors generation We generated 369 left neighbors We generated 9641 right neighbors We generated 10009 non-negative rho_i D1(43,839) = 0.8929311187640578778 D2(43,839) = 0.03886094825629761033 C1(43,839) = 1.113568332190231809 C2(43,839) = 1.795890420041787394 C3(43,839) = 4.371850527821526107 C4(43,839) = 6712 Sum = 4412.918433055551191 Averaged sum = 0.4408950377715607145 logp*logq = 25.32119168803789549 -------------- ************************************* p = 43; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105653973550.6475497 -------------- Searches starting with [43,853]-exponents: u = 61, v = 5 n_start has 115 digits starting right neighbors generation We generated 759 left neighbors We generated 9251 right neighbors We generated 10009 non-negative rho_i D1(43,853) = 0.6940002487060710888 D2(43,853) = 0.009718265937119381772 C1(43,853) = 0.8601497765969187480 C2(43,853) = 1.606151597525192445 C3(43,853) = 3.125121520141586116 C4(43,853) = 6824 Sum = 3914.355807335814036 Averaged sum = 0.3910836054886416261 logp*logq = 25.38343519081373749 -------------- ************************************* p = 43; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107529544655.5459884 -------------- Searches starting with [43,857]-exponents: u = 79, v = 5 n_start has 144 digits starting right neighbors generation We generated 1044 left neighbors We generated 8966 right neighbors We generated 10009 non-negative rho_i D1(43,857) = 0.7197912106616716597 D2(43,857) = 0.002714060414128335499 C1(43,857) = 0.9380189737698040436 C2(43,857) = 1.534152229611451441 C3(43,857) = 3.464711819171441887 C4(43,857) = 6856 Sum = 3959.857199418430460 Averaged sum = 0.3956296532539145229 logp*logq = 25.40103148075926075 -------------- ************************************* p = 43; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108476440810.8934851 -------------- Searches starting with [43,859]-exponents: u = 88, v = 5 n_start has 159 digits starting right neighbors generation We generated 2538 left neighbors We generated 7472 right neighbors We generated 10009 non-negative rho_i D1(43,859) = 0.6239368888513599506 D2(43,859) = 0.03068337863543193096 C1(43,859) = 0.8046183112563391024 C2(43,859) = 1.885002518996217133 C3(43,859) = 2.903475656953543787 C4(43,859) = 6872 Sum = 4798.971537368268498 Averaged sum = 0.4794656346656277848 logp*logq = 25.40979885096615480 -------------- ************************************* p = 43; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110388579429.2384247 -------------- Searches starting with [43,863]-exponents: u = 133, v = 5 n_start has 232 digits starting right neighbors generation We generated 5563 left neighbors We generated 4447 right neighbors We generated 10009 non-negative rho_i D1(43,863) = 0.6760958598038709400 D2(43,863) = 0.01218864176131665547 C1(43,863) = 0.9642589840672429429 C2(43,863) = 1.867421143110782316 C3(43,863) = 3.587266892002713426 C4(43,863) = 6904 Sum = 4908.957043728401736 Averaged sum = 0.4904542955068839780 logp*logq = 25.42727251823944826 -------------- ************************************* p = 43; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117276341932.4422607 -------------- Searches starting with [43,877]-exponents: u = 9, v = 116 n_start has 357 digits --- performed 5000 steps in the continued fraction search [43,877]-exponents: u = 20, v = 83 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,877) = 0.6189141984790312126 D2(43,877) = 0.1183230647684956047 C1(43,877) = 0.7723868751182453690 C2(43,877) = 1.575085056848264053 C3(43,877) = 2.782111886594453241 C4(43,877) = 7016 Sum = 5190.279153997618127 Averaged sum = 0.5190798233821000227 logp*logq = 25.48779888370848959 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(43,877) = 0.6189141984790312126 D2(43,877) = 0.1183230647684956047 C1(43,877) = 0.7723868751182453690 C2(43,877) = 1.575085056848264053 C3(43,877) = 2.782111886594453241 C4(43,877) = 7016 Sum = 5190.279153997618127 Averaged sum = 0.5190798233821000227 logp*logq = 25.48779888370848959 -------------- ************************************* p = 43; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119300902048.0792036 -------------- Searches starting with [43,881]-exponents: u = 9, v = 66 n_start has 210 digits starting right neighbors generation We generated 4548 left neighbors We generated 5462 right neighbors We generated 10009 non-negative rho_i D1(43,881) = 0.6911756300052041674 D2(43,881) = 0.002753775108673516182 C1(43,881) = 1.012946843960485725 C2(43,881) = 1.935694217045361230 C3(43,881) = 3.826265504736175409 C4(43,881) = 7048 Sum = 4851.335593892808408 Averaged sum = 0.4846973317906692384 logp*logq = 25.50491472719587211 -------------- ************************************* p = 43; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120322747195.7380388 -------------- Searches starting with [43,883]-exponents: u = 9, v = 56 n_start has 180 digits starting right neighbors generation We generated 3345 left neighbors We generated 6665 right neighbors We generated 10009 non-negative rho_i D1(43,883) = 0.7057732422687427958 D2(43,883) = 0.008768889860166201262 C1(43,883) = 0.9083622517350108955 C2(43,883) = 1.942106331202923354 C3(43,883) = 3.331231551555468625 C4(43,883) = 7064 Sum = 4412.338366562461364 Averaged sum = 0.4408370832812929727 logp*logq = 25.51344352929867194 -------------- ************************************* p = 43; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122385695427.5043607 -------------- Searches starting with [43,887]-exponents: u = 9, v = 41 n_start has 136 digits starting right neighbors generation We generated 1878 left neighbors We generated 8132 right neighbors We generated 10009 non-negative rho_i D1(43,887) = 0.7341758215799045758 D2(43,887) = 0.02101617249981068933 C1(43,887) = 0.9128814492129101577 C2(43,887) = 1.955144869966377310 C3(43,887) = 3.351234629098128416 C4(43,887) = 7096 Sum = 4068.389418643693241 Averaged sum = 0.4064731160599154002 logp*logq = 25.53044333277275756 -------------- ************************************* p = 43; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 133092281610.4162187 -------------- Searches starting with [43,907]-exponents: u = 9, v = 16 n_start has 63 digits starting right neighbors generation We generated 333 left neighbors We generated 9677 right neighbors We generated 10009 non-negative rho_i D1(43,907) = 0.6638806220770233095 D2(43,907) = 0.08756802383145158347 C1(43,907) = 0.8730490179597064408 C2(43,907) = 2.025599214693281433 C3(43,907) = 3.178982843825946895 C4(43,907) = 7256 Sum = 4382.997964181146777 Averaged sum = 0.4379056813049402315 logp*logq = 25.61430857126269246 -------------- ************************************* p = 43; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 135313417209.3745786 -------------- Searches starting with [43,911]-exponents: u = 9, v = 16 n_start has 63 digits starting right neighbors generation We generated 333 left neighbors We generated 9677 right neighbors We generated 10009 non-negative rho_i D1(43,911) = 0.7033929562903853382 D2(43,911) = 0.1022091007629515063 C1(43,911) = 0.8883880341282196765 C2(43,911) = 2.041010256831189791 C3(43,911) = 3.244241128550485606 C4(43,911) = 7288 Sum = 4471.789446321606974 Averaged sum = 0.4467768454712365845 logp*logq = 25.63085953357289931 -------------- ************************************* p = 43; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139837175814.4044015 -------------- Searches starting with [43,919]-exponents: u = 9, v = 11 n_start has 48 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(43,919) = 0.6337660011189854997 D2(43,919) = 0.1332401755455256048 C1(43,919) = 0.7914919809905743875 C2(43,919) = 2.073570976906899874 C3(43,919) = 2.853423701654712738 C4(43,919) = 7352 Sum = 4517.347851064947363 Averaged sum = 0.4513285893760562856 logp*logq = 25.66374455281448906 -------------- ************************************* p = 43; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145646833419.4873898 -------------- Searches starting with [43,929]-exponents: u = 9, v = 11 n_start has 48 digits starting right neighbors generation We generated 193 left neighbors We generated 9817 right neighbors We generated 10009 non-negative rho_i D1(43,929) = 0.6934073461548524789 D2(43,929) = 0.002122734137373603361 C1(43,929) = 1.000104370415877964 C2(43,929) = 1.945724562862550603 C3(43,929) = 3.761720188206741935 C4(43,929) = 7432 Sum = 4639.233929776157199 Averaged sum = 0.4635062373639881306 logp*logq = 25.70445057908899541 -------------- ************************************* p = 43; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150420591823.3731291 -------------- Searches starting with [43,937]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(43,937) = 1.025684722269912008 D2(43,937) = 0.006495160337545527828 C1(43,937) = 1.296501511485923832 C2(43,937) = 2.149378908784914790 C3(43,937) = 5.570723462520377797 C4(43,937) = 7496 Sum = 5046.968137892881490 Averaged sum = 0.5042429950937038155 logp*logq = 25.73670115280955899 -------------- ************************************* p = 43; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152850067784.7895203 -------------- Searches starting with [43,941]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(43,941) = 0.7573370103958536410 D2(43,941) = 0.008573317677159916003 C1(43,941) = 0.9927020683967323462 C2(43,941) = 2.152309667942516584 C3(43,941) = 3.725012614375587418 C4(43,941) = 7528 Sum = 4148.381181165935151 Averaged sum = 0.4144650995270191978 logp*logq = 25.75272332875577341 -------------- ************************************* p = 43; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156548130405.7813993 -------------- Searches starting with [43,947]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(43,947) = 0.6812514749726141556 D2(43,947) = 0.01169056836795848129 C1(43,947) = 0.8860507763484824457 C2(43,947) = 2.156698902739704796 C3(43,947) = 3.234211667581755035 C4(43,947) = 7576 Sum = 4607.902402614359830 Averaged sum = 0.4603759019496812699 logp*logq = 25.77662934217406394 -------------- ************************************* p = 43; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160311457479.3343982 -------------- Searches starting with [43,953]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(43,953) = 0.8640003440035462687 D2(43,953) = 0.01480807734929457181 C1(43,953) = 1.197307981457653710 C2(43,953) = 2.161080187816926331 C3(43,953) = 4.884756725389021861 C4(43,953) = 7624 Sum = 3420.693065106925382 Averaged sum = 0.3417617209618268939 logp*logq = 25.80038436923747004 -------------- ************************************* p = 43; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169350467438.6948494 -------------- Searches starting with [43,967]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(43,967) = 0.9075737931474793714 D2(43,967) = 0.02208479237988646946 C1(43,967) = 1.210397262046050070 C2(43,967) = 2.171274375781810249 C3(43,967) = 4.970196380172232247 C4(43,967) = 7736 Sum = 3755.958552933991042 Averaged sum = 0.3752581229827146610 logp*logq = 25.85523617639944336 -------------- ************************************* p = 43; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172000343063.8983958 -------------- Searches starting with [43,971]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(43,971) = 0.7731146679671661418 D2(43,971) = 0.02416486595645587526 C1(43,971) = 0.9564205092321175204 C2(43,971) = 2.174180089645789025 C3(43,971) = 3.550209710006955232 C4(43,971) = 7768 Sum = 3830.269393375029286 Averaged sum = 0.3826825250649444786 logp*logq = 25.87076230831542388 -------------- ************************************* p = 43; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 176032063110.0607633 -------------- Searches starting with [43,977]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(43,977) = 0.7203711902774076533 D2(43,977) = 0.02728612248695697495 C1(43,977) = 1.118612794815195140 C2(43,977) = 2.178533313582581469 C3(43,977) = 4.401163654894864896 C4(43,977) = 7816 Sum = 4725.409827957388816 Averaged sum = 0.4721160783252461601 logp*logq = 25.89393199215410067 -------------- ************************************* p = 43; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180132732685.5519723 -------------- Searches starting with [43,983]-exponents: u = 9, v = 6 n_start has 33 digits starting right neighbors generation We generated 100 left neighbors We generated 9910 right neighbors We generated 10009 non-negative rho_i D1(43,983) = 0.9422501199809657244 D2(43,983) = 0.02810084801644188156 C1(43,983) = 1.462959523251252294 C2(43,983) = 1.348493208931999527 C3(43,983) = 6.945112668156691583 C4(43,983) = 7864 Sum = 4597.809944255056483 Averaged sum = 0.4593675636182492239 logp*logq = 25.91695981989663921 -------------- ************************************* p = 43; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 185708839410.3629930 -------------- Searches starting with [43,991]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(43,991) = 1.060874161795305059 D2(43,991) = 0.01996865930827573885 C1(43,991) = 1.646963313693500221 C2(43,991) = 1.264026663122469581 C3(43,991) = 8.862199888338251993 C4(43,991) = 7928 Sum = 4457.994756411347321 Averaged sum = 0.4453986168859373885 logp*logq = 25.94744590465881145 -------------- ************************************* p = 43; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189973304160.2862397 -------------- Searches starting with [43,997]-exponents: u = 11, v = 1 n_start has 21 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(43,997) = 0.7701920825019733145 D2(43,997) = 0.01124933583911216219 C1(43,997) = 1.195691393059584816 C2(43,997) = 2.488059883965151854 C3(43,997) = 4.874306937635423204 C4(43,997) = 7976 Sum = 4313.740411179986361 Averaged sum = 0.4309861535797768369 logp*logq = 25.97014939481568055 -------------- ************************************* p = 47; q = 53; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4352277.760177784272 -------------- Searches starting with [47,53]-exponents: u = 1, v = 32 n_start has 57 digits starting right neighbors generation We generated 216 left neighbors We generated 9794 right neighbors We generated 10009 non-negative rho_i D1(47,53) = 1.072306452895772395 D2(47,53) = 0.03894766672037935703 C1(47,53) = 1.485749471096342124 C2(47,53) = 1.333097854640345080 C3(47,53) = 7.410929920772850974 C4(47,53) = 424 Sum = 3412.605373021911854 Averaged sum = 0.3409536789910991961 logp*logq = 15.28620988905154113 -------------- ************************************* p = 47; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6577208.745803104634 -------------- Searches starting with [47,59]-exponents: u = 1, v = 16 n_start has 31 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(47,59) = 0.9815952313437108465 D2(47,59) = 0.01326075621939283964 C1(47,59) = 1.439425544015271099 C2(47,59) = 1.535550781243283037 C3(47,59) = 6.962273746114536006 C4(47,59) = 472 Sum = 4831.293855412893686 Averaged sum = 0.4826949600772198707 logp*logq = 15.69912101053656829 -------------- ************************************* p = 47; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7477964.214567094516 -------------- Searches starting with [47,61]-exponents: u = 1, v = 14 n_start has 27 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(47,61) = 0.7326299377007867757 D2(47,61) = 0.1346743908022139218 C1(47,61) = 0.9710205128674627442 C2(47,61) = 1.690583195880683149 C3(47,61) = 3.702631955968292435 C4(47,61) = 488 Sum = 4791.235028984563779 Averaged sum = 0.4786926794869181516 logp*logq = 15.82747114907943544 -------------- ************************************* p = 47; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10731428.14933084384 -------------- Searches starting with [47,67]-exponents: u = 1, v = 10 n_start has 20 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(47,67) = 0.8982353316720420768 D2(47,67) = 0.01899019715220063722 C1(47,67) = 1.172272412295453951 C2(47,67) = 1.748524405405416625 C3(47,67) = 4.856674300440181715 C4(47,67) = 536 Sum = 4984.257835715300255 Averaged sum = 0.4979776037281746683 logp*logq = 16.18868720447611215 -------------- ************************************* p = 47; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13415840.65862009086 -------------- Searches starting with [47,71]-exponents: u = 1, v = 9 n_start has 19 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(47,71) = 1.606426487989347654 D2(47,71) = 0.08798414114210468084 C1(47,71) = 2.237075896500980356 C2(47,71) = 1.884955293690274096 C3(47,71) = 20.40597418924872806 C4(47,71) = 568 Sum = 5204.800017146672710 Averaged sum = 0.5200119909228367180 logp*logq = 16.41194670544834800 -------------- ************************************* p = 47; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14930283.04646479865 -------------- Searches starting with [47,73]-exponents: u = 1, v = 8 n_start has 17 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(47,73) = 0.9114960245664252227 D2(47,73) = 0.1419949389886168961 C1(47,73) = 1.246906856580102295 C2(47,73) = 1.669724144954532729 C3(47,73) = 5.370760157950385617 C4(47,73) = 584 Sum = 5146.922440535039759 Averaged sum = 0.5142294375597002456 logp*logq = 16.51890212757175636 -------------- ************************************* p = 47; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20236919.05052821557 -------------- Searches starting with [47,79]-exponents: u = 1, v = 7 n_start has 15 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(47,79) = 0.6926179515486220730 D2(47,79) = 0.08589671115457026445 C1(47,79) = 0.8949368752381617926 C2(47,79) = 1.526899654423515983 C3(47,79) = 3.341683361457291738 C4(47,79) = 632 Sum = 5061.562416548200087 Averaged sum = 0.5057011106552303014 logp*logq = 16.82301916997306870 -------------- ************************************* p = 47; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24475632.00323102616 -------------- Searches starting with [47,83]-exponents: u = 1, v = 6 n_start has 14 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(47,83) = 0.8330755544186012661 D2(47,83) = 0.06849377394650722118 C1(47,83) = 1.076424142761183406 C2(47,83) = 1.737826182379044373 C3(47,83) = 4.267976171270854340 C4(47,83) = 664 Sum = 5289.011258988439915 Averaged sum = 0.5284255429102247892 logp*logq = 17.01318856844708911 -------------- ************************************* p = 47; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32021322.07993662993 -------------- Searches starting with [47,89]-exponents: u = 1, v = 6 n_start has 14 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(47,89) = 1.197106679506598608 D2(47,89) = 0.01650338184446671490 C1(47,89) = 2.026757001743262705 C2(47,89) = 0.9802075171243114232 C3(47,89) = 15.36810707304940433 C4(47,89) = 712 Sum = 5046.025121806113728 Averaged sum = 0.5041487782801592294 logp*logq = 17.28191255387274201 -------------- ************************************* p = 47; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44603036.71271547289 -------------- Searches starting with [47,97]-exponents: u = 19, v = 5 n_start has 42 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(47,97) = 0.7303852707942098072 D2(47,97) = 0.1055518833165615940 C1(47,97) = 1.064792191599739998 C2(47,97) = 1.702545385882181485 C3(47,97) = 4.201571337717004659 C4(47,97) = 776 Sum = 4839.989033598348873 Averaged sum = 0.4835636960334048229 logp*logq = 17.61331250240147475 -------------- ************************************* p = 47; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52111446.73093307837 -------------- Searches starting with [47,101]-exponents: u = 181, v = 5 n_start has 313 digits --- performed 5000 steps in the continued fraction search [47,101]-exponents: u = 16, v = 112 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(47,101) = 0.7691712047495765243 D2(47,101) = 0.1386916005426961927 C1(47,101) = 0.9686381909446338488 C2(47,101) = 1.250926119106003287 C3(47,101) = 3.690759526724877831 C4(47,101) = 808 Sum = 5666.467495720622563 Averaged sum = 0.5667034199140536616 logp*logq = 17.76889518951926113 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(47,101) = 0.7691712047495765243 D2(47,101) = 0.1386916005426961927 C1(47,101) = 0.9686381909446338488 C2(47,101) = 1.250926119106003287 C3(47,101) = 3.690759526724877831 C4(47,101) = 808 Sum = 5666.467495720622563 Averaged sum = 0.5667034199140536616 logp*logq = 17.76889518951926113 -------------- ************************************* p = 47; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56197942.20411546483 -------------- Searches starting with [47,103]-exponents: u = 6, v = 49 n_start has 109 digits starting right neighbors generation We generated 1710 left neighbors We generated 8300 right neighbors We generated 10009 non-negative rho_i D1(47,103) = 0.7499631242548688258 D2(47,103) = 0.02542678289046111166 C1(47,103) = 0.9921624786198051120 C2(47,103) = 1.559819060473488897 C3(47,103) = 3.809681664714322156 C4(47,103) = 824 Sum = 5291.082001638891313 Averaged sum = 0.5286324309760107217 logp*logq = 17.84439069860841852 -------------- ************************************* p = 47; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65076934.14625846307 -------------- Searches starting with [47,107]-exponents: u = 6, v = 14 n_start has 39 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(47,107) = 1.770801101352934965 D2(47,107) = 0.06580327140011656333 C1(47,107) = 2.252504210809055988 C2(47,107) = 1.607875457319303087 C3(47,107) = 20.83484443064188729 C4(47,107) = 856 Sum = 5625.638621318731546 Averaged sum = 0.5620580099229425063 logp*logq = 17.99108073020511642 -------------- ************************************* p = 47; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69886412.08618308066 -------------- Searches starting with [47,109]-exponents: u = 6, v = 9 n_start has 29 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(47,109) = 1.091410333237117280 D2(47,109) = 0.1164641224325571175 C1(47,109) = 1.387054708403271213 C2(47,109) = 1.792729493416171259 C3(47,109) = 6.487676041744916659 C4(47,109) = 872 Sum = 5094.924773363329327 Averaged sum = 0.5090343464245508369 logp*logq = 18.06238179755210000 -------------- ************************************* p = 47; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80288814.47935446221 -------------- Searches starting with [47,113]-exponents: u = 11, v = 4 n_start has 27 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(47,113) = 1.231429727666104505 D2(47,113) = 0.08666086170987515044 C1(47,113) = 1.594317181737724069 C2(47,113) = 1.803690562374294599 C3(47,113) = 8.578999553144945323 C4(47,113) = 904 Sum = 5556.892063679297212 Averaged sum = 0.5551895357857225708 logp*logq = 18.20114087256866326 -------------- ************************************* p = 47; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125879454.0599890730 -------------- Searches starting with [47,127]-exponents: u = 5, v = 27 n_start has 66 digits starting right neighbors generation We generated 513 left neighbors We generated 9497 right neighbors We generated 10009 non-negative rho_i D1(47,127) = 0.8497334297730290309 D2(47,127) = 0.03635185213030719401 C1(47,127) = 1.162416962107225219 C2(47,127) = 1.602259972799692059 C3(47,127) = 4.792574101336811912 C4(47,127) = 1016 Sum = 4969.286742413194640 Averaged sum = 0.4964818405847931501 logp*logq = 18.65083529316338141 -------------- ************************************* p = 47; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141842703.7877906262 -------------- Searches starting with [47,131]-exponents: u = 5, v = 15 n_start has 41 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(47,131) = 0.9716730089654460947 D2(47,131) = 0.08904224556401671684 C1(47,131) = 1.220093955933990891 C2(47,131) = 1.760322600653300114 C3(47,131) = 5.180091268888757187 C4(47,131) = 1048 Sum = 4815.660641243921431 Averaged sum = 0.4811330443844461415 logp*logq = 18.77022928178621098 -------------- ************************************* p = 47; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168534791.1373951865 -------------- Searches starting with [47,137]-exponents: u = 5, v = 7 n_start has 24 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(47,137) = 1.130819992185107485 D2(47,137) = 0.02836052052159197428 C1(47,137) = 1.617018120680056536 C2(47,137) = 1.867944743453020386 C3(47,137) = 8.845604783537015632 C4(47,137) = 1096 Sum = 3765.867715025863428 Averaged sum = 0.3762481481692340321 logp*logq = 18.94265276203638878 -------------- ************************************* p = 47; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 178206398.6251885884 -------------- Searches starting with [47,139]-exponents: u = 5, v = 7 n_start has 24 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(47,139) = 0.7067765909420426765 D2(47,139) = 0.05310369637882663721 C1(47,139) = 0.9180053277092674802 C2(47,139) = 1.895560479638688884 C3(47,139) = 3.447238673915364680 C4(47,139) = 1112 Sum = 4912.977950196095375 Averaged sum = 0.4908560245974718128 logp*logq = 18.99845297934393287 -------------- ************************************* p = 47; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 232856250.1339452383 -------------- Searches starting with [47,149]-exponents: u = 9, v = 3 n_start has 22 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(47,149) = 1.119230260434785194 D2(47,149) = 0.1063809249056211531 C1(47,149) = 1.707543471689821434 C2(47,149) = 1.068336436398579867 C3(47,149) = 9.993740694503838740 C4(47,149) = 1192 Sum = 4368.439643422729560 Averaged sum = 0.4364511582998031331 logp*logq = 19.26593186892181659 -------------- ************************************* p = 47; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 245122325.2940408085 -------------- Searches starting with [47,151]-exponents: u = 13, v = 3 n_start has 29 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(47,151) = 0.8356892612459965813 D2(47,151) = 0.1270165270789687616 C1(47,151) = 1.135221925524392645 C2(47,151) = 1.888180546425057433 C3(47,151) = 4.620050873371715042 C4(47,151) = 1208 Sum = 4787.320980655906675 Averaged sum = 0.4783016266016491833 logp*logq = 19.31726793082121502 -------------- ************************************* p = 47; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 284798554.2495739447 -------------- Searches starting with [47,157]-exponents: u = 21, v = 3 n_start has 42 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(47,157) = 1.004716042876153437 D2(47,157) = 0.09506434909286734016 C1(47,157) = 1.293432478161269314 C2(47,157) = 1.765130321525938977 C3(47,157) = 5.718412201743644884 C4(47,157) = 1256 Sum = 5461.565717393775761 Averaged sum = 0.5456654728138451155 logp*logq = 19.46729266111833199 -------------- ************************************* p = 47; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 329040078.1337958821 -------------- Searches starting with [47,163]-exponents: u = 41, v = 3 n_start has 76 digits starting right neighbors generation We generated 588 left neighbors We generated 9422 right neighbors We generated 10009 non-negative rho_i D1(47,163) = 0.6820435068835428721 D2(47,163) = 0.02045668408856384724 C1(47,163) = 0.8884671255175074751 C2(47,163) = 1.569491024300556983 C3(47,163) = 3.312664122670529292 C4(47,163) = 1304 Sum = 4866.252416972610344 Averaged sum = 0.4861876727917484607 logp*logq = 19.61169011934628533 -------------- ************************************* p = 47; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 361232228.7623009281 -------------- Searches starting with [47,167]-exponents: u = 109, v = 3 n_start has 189 digits starting right neighbors generation We generated 3725 left neighbors We generated 6285 right neighbors We generated 10009 non-negative rho_i D1(47,167) = 0.7719086733533885948 D2(47,167) = 0.01170534744704519102 C1(47,167) = 0.9937252971810271223 C2(47,167) = 1.339683275708144771 C3(47,167) = 3.817716567654291856 C4(47,167) = 1336 Sum = 4972.114641277176574 Averaged sum = 0.4967643761891474247 logp*logq = 19.70503160244328914 -------------- ************************************* p = 47; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 413816531.7198813826 -------------- Searches starting with [47,173]-exponents: u = 4, v = 62 n_start has 146 digits starting right neighbors generation We generated 2121 left neighbors We generated 7889 right neighbors We generated 10009 non-negative rho_i D1(47,173) = 1.169719982252266304 D2(47,173) = 0.01646630372262540724 C1(47,173) = 1.522820158341109316 C2(47,173) = 1.399441174485165763 C3(47,173) = 7.790704919303027887 C4(47,173) = 1384 Sum = 6226.555914783298068 Averaged sum = 0.6220957053435206382 logp*logq = 19.84093327346822736 -------------- ************************************* p = 47; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 471863836.2938957892 -------------- Searches starting with [47,179]-exponents: u = 4, v = 23 n_start has 59 digits starting right neighbors generation We generated 368 left neighbors We generated 9642 right neighbors We generated 10009 non-negative rho_i D1(47,179) = 0.6535056788529707505 D2(47,179) = 0.0009975995214648820598 C1(47,179) = 0.8350801572173181747 C2(47,179) = 1.664162536455424666 C3(47,179) = 3.082623904639636174 C4(47,179) = 1432 Sum = 4906.944985388918484 Averaged sum = 0.4902532705953560280 logp*logq = 19.97220101950258247 -------------- ************************************* p = 47; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 492488110.6264283418 -------------- Searches starting with [47,181]-exponents: u = 4, v = 17 n_start has 46 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(47,181) = 0.8893231893602151027 D2(47,181) = 0.06096971065417805446 C1(47,181) = 1.253087190672523124 C2(47,181) = 1.725981435685617504 C3(47,181) = 5.415695080652274630 C4(47,181) = 1448 Sum = 4378.452536444812760 Averaged sum = 0.4374515472519545170 logp*logq = 20.01498087742497845 -------------- ************************************* p = 47; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 605780303.3158628440 -------------- Searches starting with [47,191]-exponents: u = 4, v = 8 n_start has 25 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(47,191) = 0.9294139757353479467 D2(47,191) = 0.001798553764717938892 C1(47,191) = 1.392091386635004045 C2(47,191) = 1.892502406642279412 C3(47,191) = 6.531877280017504649 C4(47,191) = 1528 Sum = 4790.859276223018807 Averaged sum = 0.4786551379981035874 logp*logq = 20.22202794251919997 -------------- ************************************* p = 47; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 630569545.4543644171 -------------- Searches starting with [47,193]-exponents: u = 4, v = 8 n_start has 25 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(47,193) = 0.7290981108874127936 D2(47,193) = 0.02948999047238859870 C1(47,193) = 0.9937773792073301019 C2(47,193) = 1.922144084733571136 C3(47,193) = 3.817984628022955248 C4(47,193) = 1544 Sum = 4561.059162090692875 Averaged sum = 0.4556957899980710236 logp*logq = 20.26213400935520028 -------------- ************************************* p = 47; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 682391546.0747710482 -------------- Searches starting with [47,197]-exponents: u = 4, v = 8 n_start has 26 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(47,197) = 0.7282171911679423761 D2(47,197) = 0.08913810929503138016 C1(47,197) = 0.9689796545376119585 C2(47,197) = 1.985631589105385439 C3(47,197) = 3.692458888822202911 C4(47,197) = 1576 Sum = 4090.967587515813084 Averaged sum = 0.4087289027391161039 logp*logq = 20.34111416554620538 -------------- ************************************* p = 47; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 709453047.8858232813 -------------- Searches starting with [47,199]-exponents: u = 4, v = 8 n_start has 26 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(47,199) = 1.404044359101049465 D2(47,199) = 0.05949255807996276287 C1(47,199) = 2.193447048706296910 C2(47,199) = 0.9617101233543759056 C3(47,199) = 19.24037930754903952 C4(47,199) = 1592 Sum = 2517.532470861538728 Averaged sum = 0.2515268729005433838 logp*logq = 20.38000487603328642 -------------- ************************************* p = 47; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 888854183.7933574848 -------------- Searches starting with [47,211]-exponents: u = 25, v = 5 n_start has 54 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(47,211) = 0.6641309476493214713 D2(47,211) = 0.01645277830759379186 C1(47,211) = 0.8455733000963603641 C2(47,211) = 1.587165614559738529 C3(47,211) = 3.126540362786772554 C4(47,211) = 1688 Sum = 4741.642683655588937 Averaged sum = 0.4737379042517323346 logp*logq = 20.60544375729534803 -------------- ************************************* p = 47; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1099816767.550509532 -------------- Searches starting with [47,223]-exponents: u = 7, v = 42 n_start has 111 digits starting right neighbors generation We generated 1519 left neighbors We generated 8491 right neighbors We generated 10009 non-negative rho_i D1(47,223) = 0.6475565554402102396 D2(47,223) = 0.01938876392410602809 C1(47,223) = 0.8559217988226433548 C2(47,223) = 1.715585470700494103 C3(47,223) = 3.170464185192173490 C4(47,223) = 1784 Sum = 4891.761682802261018 Averaged sum = 0.4887363056051814385 logp*logq = 20.81840942792150525 -------------- ************************************* p = 47; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1177734246.119208384 -------------- Searches starting with [47,227]-exponents: u = 7, v = 22 n_start has 64 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(47,227) = 1.080874773397687797 D2(47,227) = 0.08286314705258087670 C1(47,227) = 1.505209457036708141 C2(47,227) = 1.782177098601921801 C3(47,227) = 7.607922643232086930 C4(47,227) = 1816 Sum = 3558.058099556905141 Averaged sum = 0.3554858726702872556 logp*logq = 20.88685829920296291 -------------- ************************************* p = 47; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1218189698.916178475 -------------- Searches starting with [47,229]-exponents: u = 7, v = 17 n_start has 52 digits starting right neighbors generation We generated 256 left neighbors We generated 9754 right neighbors We generated 10009 non-negative rho_i D1(47,229) = 0.7930056974553517644 D2(47,229) = 0.004343476369320639374 C1(47,229) = 0.9999958988576806915 C2(47,229) = 1.603948876247239227 C3(47,229) = 3.850126315084143082 C4(47,229) = 1832 Sum = 4655.869210539040967 Averaged sum = 0.4651682696112539681 logp*logq = 20.92063174034353022 -------------- ************************************* p = 47; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1302176104.925094067 -------------- Searches starting with [47,233]-exponents: u = 7, v = 12 n_start has 41 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(47,233) = 0.7648435396270224251 D2(47,233) = 0.02075723154397900553 C1(47,233) = 1.128853243978185091 C2(47,233) = 1.726058899913148444 C3(47,233) = 4.580554331332949935 C4(47,233) = 1864 Sum = 4876.956329998021676 Averaged sum = 0.4872571016083546483 logp*logq = 20.98730262882528859 -------------- ************************************* p = 47; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1436094352.247434202 -------------- Searches starting with [47,239]-exponents: u = 7, v = 7 n_start has 29 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(47,239) = 0.8340920157051337791 D2(47,239) = 0.05003808415675201622 C1(47,239) = 1.054315796142035132 C2(47,239) = 1.927453609316412693 C3(47,239) = 4.142648154957954151 C4(47,239) = 1912 Sum = 4690.571421082707116 Averaged sum = 0.4686353702750231907 logp*logq = 21.08519301032165468 -------------- ************************************* p = 47; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1482918228.512635937 -------------- Searches starting with [47,241]-exponents: u = 7, v = 7 n_start has 29 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(47,241) = 0.6465331800450507843 D2(47,241) = 0.05932684959388421608 C1(47,241) = 0.8202525726710843192 C2(47,241) = 1.938395985137718370 C3(47,241) = 3.021616383018275072 C4(47,241) = 1928 Sum = 4806.655949348597712 Averaged sum = 0.4802333848884601570 logp*logq = 21.11727775934572905 -------------- ************************************* p = 47; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1734195374.986155991 -------------- Searches starting with [47,251]-exponents: u = 10, v = 2 n_start has 22 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(47,251) = 0.7623187865058262418 D2(47,251) = 0.009239044918186096128 C1(47,251) = 0.9585762298473972301 C2(47,251) = 2.068350575310150807 C3(47,251) = 3.641033701818100240 C4(47,251) = 2008 Sum = 4702.086677198733452 Averaged sum = 0.4697858604454724200 logp*logq = 21.27380938196003206 -------------- ************************************* p = 47; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1899320409.576273715 -------------- Searches starting with [47,257]-exponents: u = 10, v = 2 n_start has 22 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(47,257) = 0.8535353747966611744 D2(47,257) = 0.1278662154481549611 C1(47,257) = 1.149196724512310787 C2(47,257) = 1.873520879528768579 C3(47,257) = 4.707915794467235750 C4(47,257) = 2056 Sum = 4088.294184195282363 Averaged sum = 0.4084618027970109265 logp*logq = 21.36476197996597197 -------------- ************************************* p = 47; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2075806278.998918178 -------------- Searches starting with [47,263]-exponents: u = 13, v = 2 n_start has 27 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(47,263) = 0.7675670993239766080 D2(47,263) = 0.1073307825757893953 C1(47,263) = 1.025790164224544279 C2(47,263) = 2.045971603623243941 C3(47,263) = 3.986363860636266496 C4(47,263) = 2104 Sum = 4044.219740458023454 Averaged sum = 0.4040583215564015840 logp*logq = 21.45361548334825281 -------------- ************************************* p = 47; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2264148530.395984785 -------------- Searches starting with [47,269]-exponents: u = 13, v = 2 n_start has 27 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(47,269) = 1.040488474564403115 D2(47,269) = 0.01629489641303459947 C1(47,269) = 1.349956885718326019 C2(47,269) = 1.960436379653522370 C3(47,269) = 6.171194287484045113 C4(47,269) = 2152 Sum = 5683.955271832049891 Averaged sum = 0.5678844311951293726 logp*logq = 21.54046460043399403 -------------- ************************************* p = 47; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2329651081.089144923 -------------- Searches starting with [47,271]-exponents: u = 16, v = 2 n_start has 32 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(47,271) = 0.9356043733770099926 D2(47,271) = 0.1268896133598469755 C1(47,271) = 1.390521827118560678 C2(47,271) = 1.231211896897366478 C3(47,271) = 6.518070823668034503 C4(47,271) = 2168 Sum = 4525.370716348303101 Averaged sum = 0.4521301544957841043 logp*logq = 21.56898434270476170 -------------- ************************************* p = 47; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2534589463.208959075 -------------- Searches starting with [47,277]-exponents: u = 16, v = 2 n_start has 32 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(47,277) = 0.7418927630251321536 D2(47,277) = 0.06674435392941873810 C1(47,277) = 1.081632408923891429 C2(47,277) = 1.923407164571399514 C3(47,277) = 4.298048462476712554 C4(47,277) = 2216 Sum = 4674.181812699487104 Averaged sum = 0.4669978831750911284 logp*logq = 21.65329751342256590 -------------- ************************************* p = 47; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2678432862.740948891 -------------- Searches starting with [47,281]-exponents: u = 19, v = 2 n_start has 37 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(47,281) = 0.7932482461090926346 D2(47,281) = 0.1509263562797775373 C1(47,281) = 1.081215478832637239 C2(47,281) = 1.938818473709434145 C3(47,281) = 4.295633344715675775 C4(47,281) = 2248 Sum = 4237.787686260139669 Averaged sum = 0.4233977106863962103 logp*logq = 21.70849770772603167 -------------- ************************************* p = 47; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2752578191.327143487 -------------- Searches starting with [47,283]-exponents: u = 19, v = 2 n_start has 37 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(47,283) = 0.9958271437708926162 D2(47,283) = 0.1016911063751465552 C1(47,283) = 1.237085313746177600 C2(47,283) = 1.891186967608583827 C3(47,283) = 5.300117129484032384 C4(47,283) = 2264 Sum = 4554.801766027884609 Averaged sum = 0.4550706130510425226 logp*logq = 21.73580383354260194 -------------- ************************************* p = 47; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3146331311.138729798 -------------- Searches starting with [47,293]-exponents: u = 28, v = 2 n_start has 52 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(47,293) = 0.6449494418443229252 D2(47,293) = 0.001665540086920066584 C1(47,293) = 0.8381746009397169032 C2(47,293) = 1.741283008716538755 C3(47,293) = 3.095510408783762011 C4(47,293) = 2344 Sum = 4886.128590755289053 Averaged sum = 0.4881735029228982968 logp*logq = 21.86950294790622799 -------------- ************************************* p = 47; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3765735837.734906330 -------------- Searches starting with [47,307]-exponents: u = 58, v = 2 n_start has 102 digits starting right neighbors generation We generated 713 left neighbors We generated 9297 right neighbors We generated 10009 non-negative rho_i D1(47,307) = 0.6389512067390931990 D2(47,307) = 0.03012701212489855197 C1(47,307) = 0.8191903718140241815 C2(47,307) = 1.554619134924635202 C3(47,307) = 3.017292630054760329 C4(47,307) = 2456 Sum = 4791.003877536800852 Averaged sum = 0.4786695851270657260 logp*logq = 22.04920912073149808 -------------- ************************************* p = 47; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3958179028.396207220 -------------- Searches starting with [47,311]-exponents: u = 79, v = 2 n_start has 138 digits starting right neighbors generation We generated 1351 left neighbors We generated 8659 right neighbors We generated 10009 non-negative rho_i D1(47,311) = 0.6497713777480187913 D2(47,311) = 0.003021207557631182024 C1(47,311) = 0.8485539642627617252 C2(47,311) = 1.460656431007943163 C3(47,311) = 3.139128913764176294 C4(47,311) = 2488 Sum = 5040.883896449379876 Averaged sum = 0.5036351180387031547 logp*logq = 22.09904991513927123 -------------- ************************************* p = 47; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4057084434.457249867 -------------- Searches starting with [47,313]-exponents: u = 97, v = 2 n_start has 168 digits starting right neighbors generation We generated 1981 left neighbors We generated 8029 right neighbors We generated 10009 non-negative rho_i D1(47,313) = 0.6628419455479743759 D2(47,313) = 0.005749594599106999911 C1(47,313) = 0.8568835235190411353 C2(47,313) = 1.413207399416410043 C3(47,313) = 3.174577396238065901 C4(47,313) = 2504 Sum = 5124.073442660920593 Averaged sum = 0.5119465923329923661 logp*logq = 22.12373043299685772 -------------- ************************************* p = 47; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4260370022.414915193 -------------- Searches starting with [47,317]-exponents: u = 175, v = 2 n_start has 298 digits --- performed 5000 steps in the continued fraction search [47,317]-exponents: u = 13, v = 77 --- starting right neighbors generation We generated 6176 left neighbors We generated 3834 right neighbors We generated 10009 non-negative rho_i D1(47,317) = 0.6368434607439298713 D2(47,317) = 0.008165027605130121758 C1(47,317) = 0.8030722238210879908 C2(47,317) = 1.288314923410193414 C3(47,317) = 2.952436875242914092 C4(47,317) = 2536 Sum = 5253.350813016889143 Averaged sum = 0.5248627048673083368 logp*logq = 22.17262185317741408 -------------- ************************************* p = 47; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5031641691.340461198 -------------- Searches starting with [47,331]-exponents: u = 3, v = 71 n_start has 184 digits starting right neighbors generation We generated 2354 left neighbors We generated 7656 right neighbors We generated 10009 non-negative rho_i D1(47,331) = 0.6919918106566741343 D2(47,331) = 0.01158551291074343633 C1(47,331) = 0.8916330983226554886 C2(47,331) = 1.404900169213038825 C3(47,331) = 3.326833068027641895 C4(47,331) = 2648 Sum = 4638.078619125776489 Averaged sum = 0.4633908101834125776 logp*logq = 22.33901214779586017 -------------- ************************************* p = 47; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5391979108.700767944 -------------- Searches starting with [47,337]-exponents: u = 3, v = 41 n_start has 109 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(47,337) = 1.000729173660697613 D2(47,337) = 0.02751624234565979968 C1(47,337) = 1.323913010193449162 C2(47,337) = 1.545001228536620792 C3(47,337) = 5.958282897205560102 C4(47,337) = 2696 Sum = 5857.778435196448305 Averaged sum = 0.5852511175138823364 logp*logq = 22.40817833604979544 -------------- ************************************* p = 47; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6034529781.015234689 -------------- Searches starting with [47,347]-exponents: u = 3, v = 25 n_start has 69 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(47,347) = 1.002922905536666155 D2(47,347) = 0.01194309142772455730 C1(47,347) = 1.312356027031284500 C2(47,347) = 1.689178522915510696 C3(47,347) = 5.866171657953194462 C4(47,347) = 2776 Sum = 5298.441819961423886 Averaged sum = 0.5293677510202241868 logp*logq = 22.52076377313561611 -------------- ************************************* p = 47; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6169546177.675505064 -------------- Searches starting with [47,349]-exponents: u = 3, v = 23 n_start has 64 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(47,349) = 0.7177546079709705377 D2(47,349) = 0.05691722141255446492 C1(47,349) = 0.9432845645456830684 C2(47,349) = 1.735043524693685836 C3(47,349) = 3.566742647893314984 C4(47,349) = 2792 Sum = 4762.780165842735155 Averaged sum = 0.4758497518076466335 logp*logq = 22.54289111910757767 -------------- ************************************* p = 47; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6446272668.799853511 -------------- Searches starting with [47,353]-exponents: u = 3, v = 21 n_start has 59 digits starting right neighbors generation We generated 231 left neighbors We generated 9779 right neighbors We generated 10009 non-negative rho_i D1(47,353) = 0.9800876071668744151 D2(47,353) = 0.06390017119394533359 C1(47,353) = 1.361332722214059790 C2(47,353) = 1.783538305316550779 C3(47,353) = 6.266564504972932044 C4(47,353) = 2824 Sum = 2852.928015798034888 Averaged sum = 0.2850362689377595053 logp*logq = 22.58676791991039998 -------------- ************************************* p = 47; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6878452829.196575795 -------------- Searches starting with [47,359]-exponents: u = 3, v = 17 n_start has 49 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(47,359) = 0.8670241130790685384 D2(47,359) = 0.08516170308050707237 C1(47,359) = 1.104949874846082913 C2(47,359) = 1.854447879000063308 C3(47,359) = 4.435301597392764461 C4(47,359) = 2872 Sum = 4859.436885399975676 Averaged sum = 0.4855067324807648791 logp*logq = 22.65165958412524050 -------------- ************************************* p = 47; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7487604497.248101147 -------------- Searches starting with [47,367]-exponents: u = 3, v = 13 n_start has 39 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(47,367) = 0.8022905382167343251 D2(47,367) = 0.1029535310203211453 C1(47,367) = 1.147236825765504057 C2(47,367) = 1.932684665794237727 C3(47,367) = 4.695493136766616224 C4(47,367) = 2936 Sum = 4635.126888382374914 Averaged sum = 0.4630959025259641237 logp*logq = 22.73651475651738314 -------------- ************************************* p = 47; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7970004949.221226137 -------------- Searches starting with [47,373]-exponents: u = 3, v = 13 n_start has 39 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(47,373) = 0.9855929774949683226 D2(47,373) = 0.04247255833742651586 C1(47,373) = 1.224044607777461666 C2(47,373) = 1.945918620734667279 C3(47,373) = 5.207753614372175089 C4(47,373) = 2984 Sum = 4428.123234869621269 Averaged sum = 0.4424141507512859695 logp*logq = 22.79895095072967529 -------------- ************************************* p = 47; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8475036356.572167313 -------------- Searches starting with [47,379]-exponents: u = 3, v = 11 n_start has 34 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(47,379) = 0.9170480984762730434 D2(47,379) = 0.1251285210926689186 C1(47,379) = 1.171845525304324697 C2(47,379) = 2.031290807824981235 C3(47,379) = 4.853880130935063856 C4(47,379) = 3032 Sum = 4894.736808693683392 Averaged sum = 0.4890335506737619534 logp*logq = 22.86039078006474638 -------------- ************************************* p = 47; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8824631199.621604539 -------------- Searches starting with [47,383]-exponents: u = 3, v = 11 n_start has 34 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(47,383) = 0.8879421519868683422 D2(47,383) = 0.1283690894331537062 C1(47,383) = 1.310501501766103358 C2(47,383) = 1.293268350938753774 C3(47,383) = 5.851523920323811625 C4(47,383) = 3064 Sum = 4474.695030583296783 Averaged sum = 0.4470671426299627118 logp*logq = 22.90081264848137843 -------------- ************************************* p = 47; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9368892290.142469609 -------------- Searches starting with [47,389]-exponents: u = 3, v = 9 n_start has 29 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(47,389) = 0.6904702874403557832 D2(47,389) = 0.04517614262397846867 C1(47,389) = 0.9035050562058300625 C2(47,389) = 2.048548550356122512 C3(47,389) = 3.380506477330165897 C4(47,389) = 3112 Sum = 4770.371862533765575 Averaged sum = 0.4766082388384219777 logp*logq = 22.96066070744020637 -------------- ************************************* p = 47; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10132743217.43898458 -------------- Searches starting with [47,397]-exponents: u = 3, v = 9 n_start has 29 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(47,397) = 0.9763355945171866566 D2(47,397) = 0.1062851409651614228 C1(47,397) = 1.247171254315433339 C2(47,397) = 1.409387950054780687 C3(47,397) = 5.372674840151121655 C4(47,397) = 3176 Sum = 5294.375391306657614 Averaged sum = 0.5289614738042419437 logp*logq = 23.03903791987359414 -------------- ************************************* p = 47; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10531495903.21885864 -------------- Searches starting with [47,401]-exponents: u = 3, v = 7 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(47,401) = 1.025367913016468753 D2(47,401) = 0.1147188977595506823 C1(47,401) = 1.306326547225499527 C2(47,401) = 1.386459210707752876 C3(47,401) = 5.818682271941041014 C4(47,401) = 3208 Sum = 4798.739115892631603 Averaged sum = 0.4794424134171876913 logp*logq = 23.07763621408698702 -------------- ************************************* p = 47; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11363712317.92749797 -------------- Searches starting with [47,409]-exponents: u = 3, v = 7 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(47,409) = 0.7351080909109037355 D2(47,409) = 0.1104846430022805586 C1(47,409) = 1.043015972157597291 C2(47,409) = 1.926760727345315492 C3(47,409) = 4.080019679471395317 C4(47,409) = 3272 Sum = 4562.579804939597806 Averaged sum = 0.4558477175481664308 logp*logq = 23.15369098540562388 -------------- ************************************* p = 47; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12471280050.52490672 -------------- Searches starting with [47,419]-exponents: u = 3, v = 7 n_start has 24 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(47,419) = 0.9119169882111876182 D2(47,419) = 0.04490238750022003997 C1(47,419) = 1.202265321313221951 C2(47,419) = 2.190896950404507858 C3(47,419) = 5.057072145642904322 C4(47,419) = 3352 Sum = 4194.115357980039374 Averaged sum = 0.4190344048336536491 logp*logq = 23.24669424177312378 -------------- ************************************* p = 47; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12702038287.56270371 -------------- Searches starting with [47,421]-exponents: u = 3, v = 7 n_start has 24 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(47,421) = 0.9623532434122785142 D2(47,421) = 0.05636883272596231938 C1(47,421) = 1.236787986333478929 C2(47,421) = 1.377602759717835968 C3(47,421) = 5.297993106599638927 C4(47,421) = 3368 Sum = 4581.076023211705763 Averaged sum = 0.4576956762125792550 logp*logq = 23.26502831261667614 -------------- ************************************* p = 47; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13903570503.14016895 -------------- Searches starting with [47,431]-exponents: u = 11, v = 5 n_start has 32 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(47,431) = 0.7424962590006052845 D2(47,431) = 0.05718799159526543261 C1(47,431) = 0.9282365469408407337 C2(47,431) = 2.024991511085559595 C3(47,431) = 3.495115248354493652 C4(47,431) = 3448 Sum = 4150.580688024352581 Averaged sum = 0.4146848524352435389 logp*logq = 23.35541151482692852 -------------- ************************************* p = 47; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14153620642.20947592 -------------- Searches starting with [47,433]-exponents: u = 11, v = 5 n_start has 32 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(47,433) = 0.8048336379248481540 D2(47,433) = 0.05214254064657134630 C1(47,433) = 1.097015041753595801 C2(47,433) = 2.020924182415846569 C3(47,433) = 4.388109856399827627 C4(47,433) = 3464 Sum = 3579.480556485017141 Averaged sum = 0.3576261920756336438 logp*logq = 23.37323630407955626 -------------- ************************************* p = 47; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14923766150.99478417 -------------- Searches starting with [47,439]-exponents: u = 11, v = 5 n_start has 32 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(47,439) = 0.6745511666267624856 D2(47,439) = 0.03748212864369972992 C1(47,439) = 0.8502364472557742674 C2(47,439) = 2.009170678756432837 C3(47,439) = 3.146257087296334420 C4(47,439) = 3512 Sum = 4658.859986984436221 Averaged sum = 0.4654670783279484684 logp*logq = 23.42622082285763006 -------------- ************************************* p = 47; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15454144179.29700764 -------------- Searches starting with [47,443]-exponents: u = 11, v = 5 n_start has 32 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(47,443) = 0.8418521546722222570 D2(47,443) = 0.02807889187821364548 C1(47,443) = 1.055852778552271113 C2(47,443) = 2.001682918978588816 C3(47,443) = 4.151240718792866236 C4(47,443) = 3544 Sum = 4614.047026427330832 Averaged sum = 0.4609898118121021912 logp*logq = 23.46114303599219218 -------------- ************************************* p = 47; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16275707974.45174359 -------------- Searches starting with [47,449]-exponents: u = 19, v = 5 n_start has 46 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(47,449) = 1.113918035956745013 D2(47,449) = 0.01322023529420807515 C1(47,449) = 1.506144015280603112 C2(47,449) = 1.817366470966763156 C3(47,449) = 7.617513819659453907 C4(47,449) = 3592 Sum = 4703.241436140547991 Averaged sum = 0.4699012325048004787 logp*logq = 23.51293952482927671 -------------- ************************************* p = 47; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17420875556.67228676 -------------- Searches starting with [47,457]-exponents: u = 27, v = 5 n_start has 59 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(47,457) = 0.8985415657623080303 D2(47,457) = 0.08364047140211308159 C1(47,457) = 1.239257821635995623 C2(47,457) = 1.890247016998148307 C3(47,457) = 5.315662775375633000 C4(47,457) = 3656 Sum = 4487.957207573400634 Averaged sum = 0.4483921678063143804 logp*logq = 23.58093506868475150 -------------- ************************************* p = 47; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18015309580.17084232 -------------- Searches starting with [47,461]-exponents: u = 43, v = 5 n_start has 86 digits starting right neighbors generation We generated 758 left neighbors We generated 9252 right neighbors We generated 10009 non-negative rho_i D1(47,461) = 0.9904902155630488874 D2(47,461) = 0.05192989640466865374 C1(47,461) = 1.261891925483468655 C2(47,461) = 1.860307511547672373 C3(47,461) = 5.480361129980711007 C4(47,461) = 3688 Sum = 4948.735766483883249 Averaged sum = 0.4944285909165634178 logp*logq = 23.61448776557671309 -------------- ************************************* p = 47; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18318093006.47121954 -------------- Searches starting with [47,463]-exponents: u = 51, v = 5 n_start has 99 digits starting right neighbors generation We generated 1040 left neighbors We generated 8970 right neighbors We generated 10009 non-negative rho_i D1(47,463) = 0.7160274192706483146 D2(47,463) = 0.03708894047316116763 C1(47,463) = 0.9213875208437019268 C2(47,463) = 1.846346248682991990 C3(47,463) = 3.462992499784986760 C4(47,463) = 3704 Sum = 4731.970109636549248 Averaged sum = 0.4727715165987160803 logp*logq = 23.63115509724105716 -------------- ************************************* p = 47; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18934942294.42762183 -------------- Searches starting with [47,467]-exponents: u = 83, v = 5 n_start has 153 digits starting right neighbors generation We generated 2568 left neighbors We generated 7442 right neighbors We generated 10009 non-negative rho_i D1(47,467) = 0.6444242086818636483 D2(47,467) = 0.009105830863067347707 C1(47,467) = 0.8370190201489711620 C2(47,467) = 1.820111010532605286 C3(47,467) = 3.090691816818147703 C4(47,467) = 3736 Sum = 4892.277763213874855 Averaged sum = 0.4887878672408707019 logp*logq = 23.66427485073426970 -------------- ************************************* p = 47; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20877925750.90002480 -------------- Searches starting with [47,479]-exponents: u = 8, v = 63 n_start has 183 digits starting right neighbors generation We generated 3674 left neighbors We generated 6336 right neighbors We generated 10009 non-negative rho_i D1(47,479) = 0.7693107425904338552 D2(47,479) = 0.006476294721643936256 C1(47,479) = 0.9903808218452887560 C2(47,479) = 1.794282184885034636 C3(47,479) = 3.800542277355429867 C4(47,479) = 3832 Sum = 5055.072229233282460 Averaged sum = 0.5050526755153644180 logp*logq = 23.76195825359417111 -------------- ************************************* p = 47; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22252724160.29635875 -------------- Searches starting with [47,487]-exponents: u = 8, v = 23 n_start has 76 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(47,487) = 0.8165048666046225671 D2(47,487) = 0.002838975548322295500 C1(47,487) = 1.105666196702640102 C2(47,487) = 1.626588043452397077 C3(47,487) = 4.439586755794652387 C4(47,487) = 3896 Sum = 4644.869977222341398 Averaged sum = 0.4640693353204457387 logp*logq = 23.82573027223483188 -------------- ************************************* p = 47; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22964709334.62174395 -------------- Searches starting with [47,491]-exponents: u = 8, v = 18 n_start has 62 digits starting right neighbors generation We generated 317 left neighbors We generated 9693 right neighbors We generated 10009 non-negative rho_i D1(47,491) = 0.8235420961934360175 D2(47,491) = 0.01321596091554925452 C1(47,491) = 1.063087183216158401 C2(47,491) = 1.708309101480323213 C3(47,491) = 4.191924942681092387 C4(47,491) = 3928 Sum = 5009.040813023346748 Averaged sum = 0.5004536729966377008 logp*logq = 23.85722449775844919 -------------- ************************************* p = 47; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24439107679.56063140 -------------- Searches starting with [47,499]-exponents: u = 8, v = 13 n_start has 49 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(47,499) = 0.9169878418990617791 D2(47,499) = 0.03626578871474806707 C1(47,499) = 1.206995077492550330 C2(47,499) = 1.832053645097650584 C3(47,499) = 5.089420264477499092 C4(47,499) = 3992 Sum = 5221.029309268187759 Averaged sum = 0.5216334608120878967 logp*logq = 23.91945045992700018 -------------- ************************************* p = 47; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25202028509.44504494 -------------- Searches starting with [47,503]-exponents: u = 8, v = 8 n_start has 35 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(47,503) = 0.9609994487455803052 D2(47,503) = 0.05181208990590321237 C1(47,503) = 1.386529041999775546 C2(47,503) = 2.002216428984110660 C3(47,503) = 6.483080133901249084 C4(47,503) = 4024 Sum = 3848.109538206985508 Averaged sum = 0.3844649353788575790 logp*logq = 23.95019032463067630 -------------- ************************************* p = 47; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26379282459.75171352 -------------- Searches starting with [47,509]-exponents: u = 8, v = 8 n_start has 36 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(47,509) = 0.8206518343811299653 D2(47,509) = 0.07100779242104074807 C1(47,509) = 1.019745661179878839 C2(47,509) = 2.023658621977689517 C3(47,509) = 3.954012311002424610 C4(47,509) = 4072 Sum = 4184.940862850659083 Averaged sum = 0.4181177802828113781 logp*logq = 23.99584478370460666 -------------- ************************************* p = 47; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28855343233.56438721 -------------- Searches starting with [47,521]-exponents: u = 8, v = 8 n_start has 36 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(47,521) = 1.310193904774319607 D2(47,521) = 0.06126702597900914840 C1(47,521) = 1.998850342650083284 C2(47,521) = 1.101807557126496821 C3(47,521) = 14.80067969516650716 C4(47,521) = 4168 Sum = 3254.348859950049723 Averaged sum = 0.3251422579628384178 logp*logq = 24.08556102015432451 -------------- ************************************* p = 47; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29284159095.93815025 -------------- Searches starting with [47,523]-exponents: u = 13, v = 3 n_start has 30 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(47,523) = 0.9422877755125745212 D2(47,523) = 0.07307552052468983425 C1(47,523) = 1.437544716660670751 C2(47,523) = 1.278505740891001367 C3(47,523) = 6.944642810404121081 C4(47,523) = 4184 Sum = 4607.673329839034513 Averaged sum = 0.4603530152701603071 logp*logq = 24.10031256157830018 -------------- ************************************* p = 47; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33358990160.36891702 -------------- Searches starting with [47,541]-exponents: u = 13, v = 3 n_start has 30 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(47,541) = 0.9236417111726481454 D2(47,541) = 0.01355578601361266338 C1(47,541) = 1.203919408030100696 C2(47,541) = 2.068776069595924326 C3(47,541) = 5.068361459249224448 C4(47,541) = 4328 Sum = 5334.524922872508115 Averaged sum = 0.5329728167521738550 logp*logq = 24.23059314300662728 -------------- ************************************* p = 47; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34806097947.36996698 -------------- Searches starting with [47,547]-exponents: u = 18, v = 3 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(47,547) = 0.7195536825906957934 D2(47,547) = 0.1441508543087177341 C1(47,547) = 1.055164000331856426 C2(47,547) = 1.467747246747789191 C3(47,547) = 4.147387873985077791 C4(47,547) = 4376 Sum = 4477.080728335954815 Averaged sum = 0.4473054978854985328 logp*logq = 24.27305843674884194 -------------- ************************************* p = 47; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37320529284.79548850 -------------- Searches starting with [47,557]-exponents: u = 18, v = 3 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(47,557) = 0.7283016385792842049 D2(47,557) = 0.08297467655882780015 C1(47,557) = 1.041478548185227797 C2(47,557) = 2.010942601857946584 C3(47,557) = 4.071572110827453382 C4(47,557) = 4456 Sum = 4662.228805843548464 Averaged sum = 0.4658036572927913342 logp*logq = 24.34280939516141373 -------------- ************************************* p = 47; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38892270702.77234811 -------------- Searches starting with [47,563]-exponents: u = 23, v = 3 n_start has 47 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(47,563) = 0.6934523313765060400 D2(47,563) = 0.03772349908190348535 C1(47,563) = 0.8657766937543615305 C2(47,563) = 1.968028484751719843 C3(47,563) = 3.212866421476284379 C4(47,563) = 4504 Sum = 4187.223833283568020 Averaged sum = 0.4183458720435176361 logp*logq = 24.38406137124120060 -------------- ************************************* p = 47; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40512485155.12002543 -------------- Searches starting with [47,569]-exponents: u = 28, v = 3 n_start has 56 digits starting right neighbors generation We generated 213 left neighbors We generated 9797 right neighbors We generated 10009 non-negative rho_i D1(47,569) = 0.7285303202263368992 D2(47,569) = 0.1057747075516722631 C1(47,569) = 0.9258773456724318454 C2(47,569) = 1.945436540586898763 C3(47,569) = 3.484016810457685997 C4(47,569) = 4552 Sum = 4535.249269688300820 Averaged sum = 0.4531171215594265981 logp*logq = 24.42487603898685830 -------------- ************************************* p = 47; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41063494114.05854479 -------------- Searches starting with [47,571]-exponents: u = 28, v = 3 n_start has 56 digits starting right neighbors generation We generated 213 left neighbors We generated 9797 right neighbors We generated 10009 non-negative rho_i D1(47,571) = 0.9492024787990519647 D2(47,571) = 0.08431911135209841081 C1(47,571) = 1.260483785983877006 C2(47,571) = 1.924718303149255342 C3(47,571) = 5.469967469752038956 C4(47,571) = 4568 Sum = 4796.074842563143380 Averaged sum = 0.4791762256532264342 logp*logq = 24.43838534267739198 -------------- ************************************* p = 47; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42749834220.85833904 -------------- Searches starting with [47,577]-exponents: u = 33, v = 3 n_start has 64 digits starting right neighbors generation We generated 324 left neighbors We generated 9686 right neighbors We generated 10009 non-negative rho_i D1(47,577) = 0.6430965610633099009 D2(47,577) = 0.02682860691809025515 C1(47,577) = 0.8464817284634302488 C2(47,577) = 1.869424352422722139 C3(47,577) = 3.130371665745854546 C4(47,577) = 4616 Sum = 4554.844476343002518 Averaged sum = 0.4550748802420823776 logp*logq = 24.47863115444700267 -------------- ************************************* p = 47; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45673610664.94763629 -------------- Searches starting with [47,587]-exponents: u = 48, v = 3 n_start has 89 digits starting right neighbors generation We generated 586 left neighbors We generated 9424 right neighbors We generated 10009 non-negative rho_i D1(47,587) = 0.7463073610740579591 D2(47,587) = 0.05306112798437910617 C1(47,587) = 0.9643093659260566423 C2(47,587) = 1.774134356233247591 C3(47,587) = 3.669283942319903608 C4(47,587) = 4696 Sum = 4897.509832014413623 Averaged sum = 0.4893106036581490281 logp*logq = 24.54478652090324389 -------------- ************************************* p = 47; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47497404374.83399729 -------------- Searches starting with [47,593]-exponents: u = 63, v = 3 n_start has 114 digits starting right neighbors generation We generated 1041 left neighbors We generated 8969 right neighbors We generated 10009 non-negative rho_i D1(47,593) = 0.7296002918151555425 D2(47,593) = 0.01789890474646676558 C1(47,593) = 0.9627075161832642624 C2(47,593) = 1.695765178110822526 C3(47,593) = 3.661368775618689322 C4(47,593) = 4744 Sum = 4921.429407824136183 Averaged sum = 0.4917004104130418806 logp*logq = 24.58394090175359157 -------------- ************************************* p = 47; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49374557805.64887356 -------------- Searches starting with [47,599]-exponents: u = 98, v = 3 n_start has 173 digits starting right neighbors generation We generated 2469 left neighbors We generated 7541 right neighbors We generated 10009 non-negative rho_i D1(47,599) = 0.8626441584572894730 D2(47,599) = 0.01431826128606065499 C1(47,599) = 1.116286197026500168 C2(47,599) = 1.595041013819150737 C3(47,599) = 4.503605253726910016 C4(47,599) = 4792 Sum = 4444.250557580113775 Averaged sum = 0.4440254328684297907 logp*logq = 24.62270110429263384 -------------- ************************************* p = 47; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50012306471.25896560 -------------- Searches starting with [47,601]-exponents: u = 113, v = 3 n_start has 198 digits starting right neighbors generation We generated 3136 left neighbors We generated 6874 right neighbors We generated 10009 non-negative rho_i D1(47,601) = 0.6628148342966175119 D2(47,601) = 0.01890549802024951084 C1(47,601) = 0.8501161218207611276 C2(47,601) = 1.552706537737321237 C3(47,601) = 3.145746767715169719 C4(47,601) = 4808 Sum = 4995.260528810465256 Averaged sum = 0.4990768836857293692 logp*logq = 24.63553494151485879 -------------- ************************************* p = 47; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51962168161.38565634 -------------- Searches starting with [47,607]-exponents: u = 253, v = 3 n_start has 432 digits --- performed 5000 steps in the continued fraction search [47,607]-exponents: u = 191, v = 19 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(47,607) = 0.6833320120867225767 D2(47,607) = 0.1144184868208249114 C1(47,607) = 0.8498136479624659217 C2(47,607) = 1.406299023180017207 C3(47,607) = 3.144464292823612918 C4(47,607) = 4856 Sum = 5377.366243851061217 Averaged sum = 0.5377904034254486666 logp*logq = 24.67378175538758838 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(47,607) = 0.6833320120867225767 D2(47,607) = 0.1144184868208249114 C1(47,607) = 0.8498136479624659217 C2(47,607) = 1.406299023180017207 C3(47,607) = 3.144464292823612918 C4(47,607) = 4856 Sum = 5377.366243851061217 Averaged sum = 0.5377904034254486666 logp*logq = 24.67378175538758838 -------------- ************************************* p = 47; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53967743637.98532417 -------------- Searches starting with [47,613]-exponents: u = 5, v = 883 n_start has 2470 digits --- performed 5000 steps in the continued fraction search [47,613]-exponents: u = 1458, v = 8 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(47,613) = 0.7956543300025475092 D2(47,613) = 0.5353906725969174716 C1(47,613) = 0.9427033135755880604 C2(47,613) = 1.518856331008767782 C3(47,613) = 3.563948874797726272 C4(47,613) = 4904 Sum = 6287.862017404902095 Averaged sum = 0.6288490866491551250 logp*logq = 24.71165236499473815 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(47,613) = 0.7956543300025475092 D2(47,613) = 0.5353906725969174716 C1(47,613) = 0.9427033135755880604 C2(47,613) = 1.518856331008767782 C3(47,613) = 3.563948874797726272 C4(47,613) = 4904 Sum = 6287.862017404902095 Averaged sum = 0.6288490866491551250 logp*logq = 24.71165236499473815 -------------- ************************************* p = 47; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55336250974.00231110 -------------- Searches starting with [47,617]-exponents: u = 5, v = 160 n_start has 455 digits --- performed 5000 steps in the continued fraction search [47,617]-exponents: u = 152, v = 52 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(47,617) = 0.6580854405498178416 D2(47,617) = 0.1332382380696431015 C1(47,617) = 0.8168709531225852634 C2(47,617) = 1.408735653502475337 C3(47,617) = 3.007872788739760821 C4(47,617) = 4936 Sum = 5404.902076106822797 Averaged sum = 0.5405442620368859683 logp*logq = 24.73669406369057396 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(47,617) = 0.6580854405498178416 D2(47,617) = 0.1332382380696431015 C1(47,617) = 0.8168709531225852634 C2(47,617) = 1.408735653502475337 C3(47,617) = 3.007872788739760821 C4(47,617) = 4936 Sum = 5404.902076106822797 Averaged sum = 0.5405442620368859683 logp*logq = 24.73669406369057396 -------------- ************************************* p = 47; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56030056066.04276490 -------------- Searches starting with [47,619]-exponents: u = 5, v = 112 n_start has 322 digits --- performed 5000 steps in the continued fraction search [47,619]-exponents: u = 97, v = 26 --- starting right neighbors generation We generated 8457 left neighbors We generated 1553 right neighbors We generated 10009 non-negative rho_i D1(47,619) = 0.8446820236743930720 D2(47,619) = 0.008641927688079359263 C1(47,619) = 1.061272901512168526 C2(47,619) = 1.439707466742451113 C3(47,619) = 4.181684634532422749 C4(47,619) = 4952 Sum = 5219.517631703273546 Averaged sum = 0.5214824289842415372 logp*logq = 24.74915409916637986 -------------- ************************************* p = 47; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60329027171.82303165 -------------- Searches starting with [47,631]-exponents: u = 5, v = 40 n_start has 121 digits starting right neighbors generation We generated 1113 left neighbors We generated 8897 right neighbors We generated 10009 non-negative rho_i D1(47,631) = 0.6645446904622495145 D2(47,631) = 0.03183155633684713367 C1(47,631) = 0.8740256985705385893 C2(47,631) = 1.691830622218270960 C3(47,631) = 3.248794755222365989 C4(47,631) = 5048 Sum = 4805.556949665238077 Averaged sum = 0.4801235837411567666 logp*logq = 24.82307920415425249 -------------- ************************************* p = 47; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64094049390.65021844 -------------- Searches starting with [47,641]-exponents: u = 5, v = 25 n_start has 79 digits starting right neighbors generation We generated 500 left neighbors We generated 9510 right neighbors We generated 10009 non-negative rho_i D1(47,641) = 0.9307977769528370083 D2(47,641) = 0.003950527416415734499 C1(47,641) = 1.256712340173767430 C2(47,641) = 1.813189031636823530 C3(47,641) = 5.442226934020427306 C4(47,641) = 5128 Sum = 5114.240439707780175 Averaged sum = 0.5109641762121870492 logp*logq = 24.88361736334458016 -------------- ************************************* p = 47; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64867437566.39546998 -------------- Searches starting with [47,643]-exponents: u = 5, v = 25 n_start has 79 digits starting right neighbors generation We generated 500 left neighbors We generated 9510 right neighbors We generated 10009 non-negative rho_i D1(47,643) = 0.7384230773176765503 D2(47,643) = 0.02163730131364826968 C1(47,643) = 0.9426159814207236310 C2(47,643) = 1.831376206328180653 C3(47,643) = 3.563529303389729449 C4(47,643) = 5144 Sum = 4763.929924967845925 Averaged sum = 0.4759646243348831976 logp*logq = 24.89561160233361842 -------------- ************************************* p = 47; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66434913649.16813143 -------------- Searches starting with [47,647]-exponents: u = 5, v = 22 n_start has 71 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(47,647) = 0.6010151555934827484 D2(47,647) = 0.05937012079006181513 C1(47,647) = 0.7714642330171687650 C2(47,647) = 1.870105109800190958 C3(47,647) = 2.829273014489501696 C4(47,647) = 5176 Sum = 4704.002568790286867 Averaged sum = 0.4699772773294321977 logp*logq = 24.91948856320962686 -------------- ************************************* p = 47; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68838473923.10287529 -------------- Searches starting with [47,653]-exponents: u = 5, v = 19 n_start has 62 digits starting right neighbors generation We generated 310 left neighbors We generated 9700 right neighbors We generated 10009 non-negative rho_i D1(47,653) = 0.5977749516727567910 D2(47,653) = 0.02562377448744417637 C1(47,653) = 0.8303289261732413586 C2(47,653) = 1.913586278568157535 C3(47,653) = 3.062942215238731674 C4(47,653) = 5224 Sum = 4657.552655056835335 Averaged sum = 0.4653364626892631966 logp*logq = 24.95502863958241741 -------------- ************************************* p = 47; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71305810142.97124929 -------------- Searches starting with [47,659]-exponents: u = 5, v = 16 n_start has 54 digits starting right neighbors generation We generated 203 left neighbors We generated 9807 right neighbors We generated 10009 non-negative rho_i D1(47,659) = 0.7536642868111933987 D2(47,659) = 0.07087590290983140810 C1(47,659) = 1.002840044328514810 C2(47,659) = 1.960364932263110378 C3(47,659) = 3.864916903435869062 C4(47,659) = 5272 Sum = 4291.793068962290311 Averaged sum = 0.4287933928426706276 logp*logq = 24.99024364972786288 -------------- ************************************* p = 47; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72142615856.71322086 -------------- Searches starting with [47,661]-exponents: u = 5, v = 16 n_start has 54 digits starting right neighbors generation We generated 203 left neighbors We generated 9807 right neighbors We generated 10009 non-negative rho_i D1(47,661) = 0.6919260153152882144 D2(47,661) = 0.08710887785626248534 C1(47,661) = 0.8892428939494179819 C2(47,661) = 1.977103614458576162 C3(47,661) = 3.316130393028214963 C4(47,661) = 5288 Sum = 4460.486294786826768 Averaged sum = 0.4456475466866646786 logp*logq = 25.00191077260045382 -------------- ************************************* p = 47; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77317075240.11500089 -------------- Searches starting with [47,673]-exponents: u = 5, v = 13 n_start has 46 digits starting right neighbors generation We generated 165 left neighbors We generated 9845 right neighbors We generated 10009 non-negative rho_i D1(47,673) = 0.6667143476819069581 D2(47,673) = 0.03555540907145191935 C1(47,673) = 0.9575479188351974271 C2(47,673) = 2.031579354949615194 C3(47,673) = 3.635989714305627596 C4(47,673) = 5384 Sum = 4670.474664462959539 Averaged sum = 0.4666275016947706603 logp*logq = 25.07118066387832363 -------------- ************************************* p = 47; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79101400748.24420858 -------------- Searches starting with [47,677]-exponents: u = 5, v = 10 n_start has 37 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(47,677) = 0.8150478169165567812 D2(47,677) = 0.05694365776260596459 C1(47,677) = 1.170518613560827462 C2(47,677) = 2.054010144556923827 C3(47,677) = 4.845205150319056922 C4(47,677) = 5416 Sum = 4445.534103929354056 Averaged sum = 0.4441536720880561550 logp*logq = 25.09399642013774030 -------------- ************************************* p = 47; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81834809262.90687162 -------------- Searches starting with [47,683]-exponents: u = 5, v = 10 n_start has 37 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(47,683) = 0.9841683847279432491 D2(47,683) = 0.09099450525256017970 C1(47,683) = 1.253045821566393356 C2(47,683) = 2.089613109865407353 C3(47,683) = 5.415393054854618811 C4(47,683) = 5464 Sum = 4841.744493443571394 Averaged sum = 0.4837390841686053946 logp*logq = 25.12796853114950297 -------------- ************************************* p = 47; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85587352852.15046470 -------------- Searches starting with [47,691]-exponents: u = 5, v = 10 n_start has 37 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(47,691) = 0.8222679663732703361 D2(47,691) = 0.1374646372591649848 C1(47,691) = 1.068613694521821361 C2(47,691) = 1.574872503968962434 C3(47,691) = 4.223272896453435045 C4(47,691) = 5528 Sum = 4361.337193860429040 Averaged sum = 0.4357415519892525767 logp*logq = 25.17280336212411936 -------------- ************************************* p = 47; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90455379914.76790841 -------------- Searches starting with [47,701]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(47,701) = 0.6394457759056985121 D2(47,701) = 0.1493596865066693222 C1(47,701) = 0.8059880862929200379 C2(47,701) = 2.020054016549666923 C3(47,701) = 2.964065472554345805 C4(47,701) = 5608 Sum = 4707.960214614051061 Averaged sum = 0.4703726860439655371 logp*logq = 25.22812252645247053 -------------- ************************************* p = 47; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94494986152.28534477 -------------- Searches starting with [47,709]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(47,709) = 0.6497815195589548652 D2(47,709) = 0.1279748374472274201 C1(47,709) = 0.8383934272914698949 C2(47,709) = 2.000854653141530733 C3(47,709) = 3.096423726239019161 C4(47,709) = 5672 Sum = 4716.507030535190639 Averaged sum = 0.4712265991143161793 logp*logq = 25.27181261344898452 -------------- ************************************* p = 47; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99730474661.15484816 -------------- Searches starting with [47,719]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(47,719) = 0.8625752213707114448 D2(47,719) = 0.02750376799303119153 C1(47,719) = 1.175709729681823424 C2(47,719) = 2.189167457995028867 C3(47,719) = 4.879231804678370244 C4(47,719) = 5752 Sum = 3581.585799941178918 Averaged sum = 0.3578365271197101526 logp*logq = 25.32573713081095767 -------------- ************************************* p = 47; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104071029124.5330739 -------------- Searches starting with [47,727]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(47,727) = 1.020861316129818230 D2(47,727) = 0.05148512797700565183 C1(47,727) = 1.290078482236271343 C2(47,727) = 2.215258347180684533 C3(47,727) = 5.692614422474181720 C4(47,727) = 5816 Sum = 4781.896744480385120 Averaged sum = 0.4777596907263847657 logp*logq = 25.36833947531958381 -------------- ************************************* p = 47; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107417043931.1095150 -------------- Searches starting with [47,733]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(47,733) = 0.9959919123699461921 D2(47,733) = 0.04708440631691592276 C1(47,733) = 1.536439833791004334 C2(47,733) = 1.276155365795236744 C3(47,733) = 7.935070090150325057 C4(47,733) = 5864 Sum = 4576.785166048464469 Averaged sum = 0.4572669763261529093 logp*logq = 25.39998470225071237 -------------- ************************************* p = 47; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110842038585.5845480 -------------- Searches starting with [47,739]-exponents: u = 12, v = 4 n_start has 32 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(47,739) = 1.362220910667000743 D2(47,739) = 0.05410443017078212951 C1(47,739) = 1.713279520357069589 C2(47,739) = 1.364479214547112731 C3(47,739) = 10.07132019131326346 C4(47,739) = 5912 Sum = 4842.365158663959670 Averaged sum = 0.4838010948810030643 logp*logq = 25.43137194891915521 -------------- ************************************* p = 47; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113169838425.0417295 -------------- Searches starting with [47,743]-exponents: u = 12, v = 4 n_start has 32 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(47,743) = 0.9669202027079857967 D2(47,743) = 0.05754942077153753999 C1(47,743) = 1.255893119979090954 C2(47,743) = 2.161651527744111405 C3(47,743) = 5.436219855477624556 C4(47,743) = 5944 Sum = 5505.140878430242889 Averaged sum = 0.5500190706794128173 logp*logq = 25.45215552220425066 -------------- ************************************* p = 47; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117933776773.5393540 -------------- Searches starting with [47,751]-exponents: u = 12, v = 4 n_start has 32 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(47,751) = 0.7521494227680788124 D2(47,751) = 0.04024520495637492457 C1(47,751) = 1.021748428102581710 C2(47,751) = 2.146676931507840867 C3(47,751) = 3.964702383619125434 C4(47,751) = 6008 Sum = 3894.034114361560014 Averaged sum = 0.3890532634990068952 logp*logq = 25.49338909008911074 -------------- ************************************* p = 47; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121602945748.0740947 -------------- Searches starting with [47,757]-exponents: u = 12, v = 4 n_start has 32 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(47,757) = 0.7810103592783147442 D2(47,757) = 0.02781144923085751657 C1(47,757) = 0.9703558319328516150 C2(47,757) = 2.135973873098686601 C3(47,757) = 3.699315646793479646 C4(47,757) = 6056 Sum = 4251.385409417482722 Averaged sum = 0.4247562603074715478 logp*logq = 25.52402703108698471 -------------- ************************************* p = 47; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124095555045.9184787 -------------- Searches starting with [47,761]-exponents: u = 12, v = 4 n_start has 32 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(47,761) = 1.166027040211771707 D2(47,761) = 0.01976058736776191116 C1(47,761) = 1.464721128042908525 C2(47,761) = 2.129069069693662736 C3(47,761) = 7.203790717520742526 C4(47,761) = 6088 Sum = 4395.735660287085903 Averaged sum = 0.4391783055537102511 logp*logq = 25.54431771099672260 -------------- ************************************* p = 47; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129194009276.0321827 -------------- Searches starting with [47,769]-exponents: u = 12, v = 4 n_start has 32 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(47,769) = 0.6616416713068882878 D2(47,769) = 0.004186936011819121803 C1(47,769) = 0.9646542743989241052 C2(47,769) = 2.115769253701490977 C3(47,769) = 3.670990464606113027 C4(47,769) = 6152 Sum = 4665.316200482749846 Averaged sum = 0.4661121191410480413 logp*logq = 25.58458105938732321 -------------- ************************************* p = 47; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131800589227.2794815 -------------- Searches starting with [47,773]-exponents: u = 19, v = 4 n_start has 44 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(47,773) = 1.918501255859607679 D2(47,773) = 0.1104934052343544847 C1(47,773) = 2.796887120399196999 C2(47,773) = 1.219196755437324816 C3(47,773) = 43.40243958386454459 C4(47,773) = 6184 Sum = 4137.448818722852451 Averaged sum = 0.4133728463106057000 logp*logq = 25.60455592962151285 -------------- ************************************* p = 47; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141231044296.9161109 -------------- Searches starting with [47,787]-exponents: u = 19, v = 4 n_start has 44 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(47,787) = 0.7739040402360744492 D2(47,787) = 0.1102768050685551859 C1(47,787) = 0.9775180830375187179 C2(47,787) = 2.057629165385841389 C3(47,787) = 3.735207434996565111 C4(47,787) = 6296 Sum = 4469.216992961637262 Averaged sum = 0.4465198314478606516 logp*logq = 25.67366299829952981 -------------- ************************************* p = 47; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148266418720.9567239 -------------- Searches starting with [47,797]-exponents: u = 26, v = 4 n_start has 56 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(47,797) = 0.8544719767720417838 D2(47,797) = 0.06165628607801117693 C1(47,797) = 1.136979618393760877 C2(47,797) = 2.011635385344692555 C3(47,797) = 4.631011369268088197 C4(47,797) = 6376 Sum = 4430.370389974261016 Averaged sum = 0.4426386641996464198 logp*logq = 25.72227661891757025 -------------- ************************************* p = 47; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 157047499644.8350440 -------------- Searches starting with [47,809]-exponents: u = 33, v = 4 n_start has 67 digits starting right neighbors generation We generated 401 left neighbors We generated 9609 right neighbors We generated 10009 non-negative rho_i D1(47,809) = 1.186957766492047683 D2(47,809) = 0.01096336496149628665 C1(47,809) = 1.620736788330512418 C2(47,809) = 1.964050848502544478 C3(47,809) = 8.890060719552681916 C4(47,809) = 6472 Sum = 5566.919657093512265 Averaged sum = 0.5561913934552415091 logp*logq = 25.77981414204555927 -------------- ************************************* p = 47; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 158547597388.4132876 -------------- Searches starting with [47,811]-exponents: u = 40, v = 4 n_start has 79 digits starting right neighbors generation We generated 581 left neighbors We generated 9429 right neighbors We generated 10009 non-negative rho_i D1(47,811) = 0.8610766456353630246 D2(47,811) = 0.003145714719137347668 C1(47,811) = 1.100709693514403631 C2(47,811) = 1.956746719626521216 C3(47,811) = 4.410020686290265313 C4(47,811) = 6488 Sum = 4859.639054628169779 Averaged sum = 0.4855269312247147346 logp*logq = 25.78932068416355798 -------------- ************************************* p = 47; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166207767822.7937139 -------------- Searches starting with [47,821]-exponents: u = 61, v = 4 n_start has 114 digits starting right neighbors generation We generated 1204 left neighbors We generated 8806 right neighbors We generated 10009 non-negative rho_i D1(47,821) = 0.8559344496112775385 D2(47,821) = 0.01289392159610902580 C1(47,821) = 1.136627825430718999 C2(47,821) = 1.860726284729439091 C3(47,821) = 4.628815604437959460 C4(47,821) = 6568 Sum = 3776.927493979235862 Averaged sum = 0.3773531315795020344 logp*logq = 25.83650445607819150 -------------- ************************************* p = 47; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167772077960.5439572 -------------- Searches starting with [47,823]-exponents: u = 61, v = 4 n_start has 114 digits starting right neighbors generation We generated 1204 left neighbors We generated 8806 right neighbors We generated 10009 non-negative rho_i D1(47,823) = 0.9606060776318715570 D2(47,823) = 0.001446013349715848120 C1(47,823) = 1.267516205421102321 C2(47,823) = 1.849765494543277545 C3(47,823) = 5.522072014499175567 C4(47,823) = 6584 Sum = 5475.969188559384909 Averaged sum = 0.5471045247836332210 logp*logq = 25.84587221642148711 -------------- ************************************* p = 47; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 170933364343.5956711 -------------- Searches starting with [47,827]-exponents: u = 82, v = 4 n_start has 149 digits starting right neighbors generation We generated 2051 left neighbors We generated 7959 right neighbors We generated 10009 non-negative rho_i D1(47,827) = 0.6408297446970236527 D2(47,827) = 0.01223506666055033147 C1(47,827) = 0.8368735338996601351 C2(47,827) = 1.783963827195369186 C3(47,827) = 3.090085693670226506 C4(47,827) = 6616 Sum = 4078.461518101832210 Averaged sum = 0.4074794203318845250 logp*logq = 25.86453963530203666 -------------- ************************************* p = 47; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172530438557.5957640 -------------- Searches starting with [47,829]-exponents: u = 89, v = 4 n_start has 161 digits starting right neighbors generation We generated 2286 left neighbors We generated 7724 right neighbors We generated 10009 non-negative rho_i D1(47,829) = 1.045829811529347223 D2(47,829) = 0.02569743739504516102 C1(47,829) = 1.354723183474511907 C2(47,829) = 1.738474295210844103 C3(47,829) = 6.210974969534305469 C4(47,829) = 6632 Sum = 5658.691545359388040 Averaged sum = 0.5653603302387239524 logp*logq = 25.87383951325775380 -------------- ************************************* p = 47; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180682088307.6559160 -------------- Searches starting with [47,839]-exponents: u = 299, v = 4 n_start has 512 digits --- performed 5000 steps in the continued fraction search [47,839]-exponents: u = 235, v = 23 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(47,839) = 0.6056646912753882665 D2(47,839) = 0.2092136766796232149 C1(47,839) = 0.7488997775036441571 C2(47,839) = 1.493993146141420652 C3(47,839) = 2.744504069167635747 C4(47,839) = 6712 Sum = 5399.467781724966017 Averaged sum = 0.5400007782503216338 logp*logq = 25.92000490571149307 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(47,839) = 0.6056646912753882665 D2(47,839) = 0.2092136766796232149 C1(47,839) = 0.7488997775036441571 C2(47,839) = 1.493993146141420652 C3(47,839) = 2.744504069167635747 C4(47,839) = 6712 Sum = 5399.467781724966017 Averaged sum = 0.5400007782503216338 logp*logq = 25.92000490571149307 -------------- ************************************* p = 47; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 192569003521.1406807 -------------- Searches starting with [47,853]-exponents: u = 7, v = 85 n_start has 261 digits --- performed 5000 steps in the continued fraction search [47,853]-exponents: u = 27, v = 28 --- starting right neighbors generation We generated 6364 left neighbors We generated 3646 right neighbors We generated 10009 non-negative rho_i D1(47,853) = 0.6395203090926524655 D2(47,853) = 0.002112190787721097758 C1(47,853) = 0.8102468947161208748 C2(47,853) = 1.650118303136843853 C3(47,853) = 2.981132151554585084 C4(47,853) = 6824 Sum = 4975.389326500641685 Averaged sum = 0.4970915502548348171 logp*logq = 25.98372038629294859 -------------- ************************************* p = 47; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 196069064809.7531539 -------------- Searches starting with [47,857]-exponents: u = 7, v = 61 n_start has 191 digits starting right neighbors generation We generated 3278 left neighbors We generated 6732 right neighbors We generated 10009 non-negative rho_i D1(47,857) = 0.8469879751139060024 D2(47,857) = 0.02366822206047071039 C1(47,857) = 1.091344844261651094 C2(47,857) = 1.715354300809545990 C3(47,857) = 4.354694764709448461 C4(47,857) = 6856 Sum = 4508.913998759893061 Averaged sum = 0.4504859625097305486 logp*logq = 26.00173280558701172 -------------- ************************************* p = 47; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 197836647140.0477059 -------------- Searches starting with [47,859]-exponents: u = 7, v = 53 n_start has 168 digits starting right neighbors generation We generated 2568 left neighbors We generated 7442 right neighbors We generated 10009 non-negative rho_i D1(47,859) = 0.8209187394547096551 D2(47,859) = 0.01480797607197323163 C1(47,859) = 1.065082253289417941 C2(47,859) = 1.759530580337827826 C3(47,859) = 4.203214622516944681 C4(47,859) = 6872 Sum = 4318.514886484066193 Averaged sum = 0.4314631717937922063 logp*logq = 26.01070751268502871 -------------- ************************************* p = 47; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 201407168398.5487454 -------------- Searches starting with [47,863]-exponents: u = 7, v = 41 n_start has 133 digits starting right neighbors generation We generated 1607 left neighbors We generated 8403 right neighbors We generated 10009 non-negative rho_i D1(47,863) = 0.6001479900701909226 D2(47,863) = 0.01044344874507775234 C1(47,863) = 0.7893349233766704961 C2(47,863) = 1.822915456549479155 C3(47,863) = 2.898262664444623967 C4(47,863) = 6904 Sum = 4460.273378382691749 Averaged sum = 0.4456262741914968277 logp*logq = 26.02859440944030670 -------------- ************************************* p = 47; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 214280586419.5996165 -------------- Searches starting with [47,877]-exponents: u = 7, v = 21 n_start has 74 digits starting right neighbors generation We generated 452 left neighbors We generated 9558 right neighbors We generated 10009 non-negative rho_i D1(47,877) = 0.9904506919282098981 D2(47,877) = 0.03561217459028907462 C1(47,877) = 1.343297161833307255 C2(47,877) = 1.940768119170678914 C3(47,877) = 6.116036968092356437 C4(47,877) = 7016 Sum = 5081.602361920078335 Averaged sum = 0.5077033032191106339 logp*logq = 26.09055214465320281 -------------- ************************************* p = 47; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 218067995170.6377106 -------------- Searches starting with [47,881]-exponents: u = 7, v = 21 n_start has 74 digits starting right neighbors generation We generated 452 left neighbors We generated 9558 right neighbors We generated 10009 non-negative rho_i D1(47,881) = 0.7031608110625199434 D2(47,881) = 0.05530007878543466238 C1(47,881) = 0.9018616769311191644 C2(47,881) = 1.961220620472633704 C3(47,881) = 3.373025395676106784 C4(47,881) = 7048 Sum = 4507.294828024278821 Averaged sum = 0.4503241910305004317 logp*logq = 26.10807275555588511 -------------- ************************************* p = 47; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 219980172167.2729174 -------------- Searches starting with [47,883]-exponents: u = 7, v = 21 n_start has 74 digits starting right neighbors generation We generated 452 left neighbors We generated 9558 right neighbors We generated 10009 non-negative rho_i D1(47,883) = 1.043854590313595798 D2(47,883) = 0.06549921228919530217 C1(47,883) = 1.433574823426905429 C2(47,883) = 1.971800729330567156 C3(47,883) = 6.907575342002671165 C4(47,883) = 7064 Sum = 3306.748831592843492 Averaged sum = 0.3303775433702511232 logp*logq = 26.11680325272473870 -------------- ************************************* p = 47; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 223841730638.0286790 -------------- Searches starting with [47,887]-exponents: u = 7, v = 17 n_start has 62 digits starting right neighbors generation We generated 285 left neighbors We generated 9725 right neighbors We generated 10009 non-negative rho_i D1(47,887) = 0.6872045115426627349 D2(47,887) = 0.08670186357495306081 C1(47,887) = 0.9075409268378898777 C2(47,887) = 1.993762705045357494 C3(47,887) = 3.398949275310125360 C4(47,887) = 7096 Sum = 4415.606283191628601 Averaged sum = 0.4411635810961763014 logp*logq = 26.13420507941888253 -------------- ************************************* p = 47; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 243907190142.9497742 -------------- Searches starting with [47,907]-exponents: u = 7, v = 13 n_start has 51 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(47,907) = 0.8535812493411087870 D2(47,907) = 0.04470012002356968729 C1(47,907) = 1.220608552545818883 C2(47,907) = 2.087655310995505362 C3(47,907) = 5.183686119058043769 C4(47,907) = 7256 Sum = 4081.974861345713099 Averaged sum = 0.4078304387397055749 logp*logq = 26.22005362161465549 -------------- ************************************* p = 47; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 248074760828.2855036 -------------- Searches starting with [47,911]-exponents: u = 7, v = 9 n_start has 39 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(47,911) = 0.7395302494067971171 D2(47,911) = 0.05604632600373696257 C1(47,911) = 1.057492635738688609 C2(47,911) = 2.099799728202767376 C3(47,911) = 4.160428060974654610 C4(47,911) = 7288 Sum = 4537.298253286795760 Averaged sum = 0.4533218356765706624 logp*logq = 26.23699599263574270 -------------- ************************************* p = 47; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 256567775794.1154502 -------------- Searches starting with [47,919]-exponents: u = 7, v = 9 n_start has 39 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(47,919) = 0.6291223567591051316 D2(47,919) = 0.07956860368289779893 C1(47,919) = 0.8007509374024866870 C2(47,919) = 2.124907760562418751 C3(47,919) = 2.943212099714137295 C4(47,919) = 7352 Sum = 4472.373158728730844 Averaged sum = 0.4468351642250705209 logp*logq = 26.27065869976927386 -------------- ************************************* p = 47; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267484476699.8084237 -------------- Searches starting with [47,929]-exponents: u = 7, v = 9 n_start has 39 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(47,929) = 0.9896302513537276968 D2(47,929) = 0.1107836685230350220 C1(47,929) = 1.302609866736846463 C2(47,929) = 2.158085337419980693 C3(47,929) = 5.789600683907789893 C4(47,929) = 7432 Sum = 4346.533519515519200 Averaged sum = 0.4342625156874332301 logp*logq = 26.31232737056985354 -------------- ************************************* p = 47; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 276462390391.0787272 -------------- Searches starting with [47,937]-exponents: u = 7, v = 9 n_start has 39 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(47,937) = 0.9764166031480128038 D2(47,937) = 0.08906500944451731774 C1(47,937) = 1.198507857828129505 C2(47,937) = 1.309655592241275847 C3(47,937) = 5.031520419952353641 C4(47,937) = 7496 Sum = 4208.040404827165282 Averaged sum = 0.4204256573910645701 logp*logq = 26.34534062837177312 -------------- ************************************* p = 47; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 281034059724.7419662 -------------- Searches starting with [47,941]-exponents: u = 16, v = 5 n_start has 42 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(47,941) = 0.9453809134651744569 D2(47,941) = 0.09188625533638358830 C1(47,941) = 1.405051999030031944 C2(47,941) = 1.334499308724353798 C3(47,941) = 6.647007396774966210 C4(47,941) = 7528 Sum = 4321.687020155979506 Averaged sum = 0.4317800999256648522 logp*logq = 26.36174170791978830 -------------- ************************************* p = 47; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287996184126.0050708 -------------- Searches starting with [47,947]-exponents: u = 16, v = 5 n_start has 42 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(47,947) = 1.080918746928925532 D2(47,947) = 0.1196670717241366010 C1(47,947) = 1.405560544076616676 C2(47,947) = 2.129465465258923566 C3(47,947) = 6.651565984100491010 C4(47,947) = 7576 Sum = 5738.254994959066667 Averaged sum = 0.5733095209270723016 logp*logq = 26.38621306743209846 -------------- ************************************* p = 47; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 295085171911.3886244 -------------- Searches starting with [47,953]-exponents: u = 16, v = 5 n_start has 42 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(47,953) = 0.6711250023326899355 D2(47,953) = 0.1046196270095793319 C1(47,953) = 0.8505172413352491181 C2(47,953) = 2.115704827433645373 C3(47,953) = 3.147448302325271706 C4(47,953) = 7624 Sum = 4640.411999912987676 Averaged sum = 0.4636239384466967405 logp*logq = 26.41052986995880086 -------------- ************************************* p = 47; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 312127891977.0111822 -------------- Searches starting with [47,967]-exponents: u = 16, v = 5 n_start has 42 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(47,967) = 0.9192770342915639274 D2(47,967) = 0.07205234432426132734 C1(47,967) = 1.304302007760795210 C2(47,967) = 2.086108356582086005 C3(47,967) = 5.802822966157660017 C4(47,967) = 7736 Sum = 3627.091871611887571 Averaged sum = 0.3623830424230080498 logp*logq = 26.46667885094839422 -------------- ************************************* p = 47; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 317128266659.5483188 -------------- Searches starting with [47,971]-exponents: u = 25, v = 5 n_start has 57 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(47,971) = 0.9390165531024945067 D2(47,971) = 0.05883289030983432146 C1(47,971) = 1.188754945141958801 C2(47,971) = 1.931029258137937908 C3(47,971) = 4.965798921337736858 C4(47,971) = 7768 Sum = 4615.667965520046956 Averaged sum = 0.4611517599680334654 logp*logq = 26.48257215567066195 -------------- ************************************* p = 47; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 324739699051.2579150 -------------- Searches starting with [47,977]-exponents: u = 25, v = 5 n_start has 57 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(47,977) = 0.6627920299324137167 D2(47,977) = 0.04704390089234079723 C1(47,977) = 0.8297471199796476974 C2(47,977) = 1.920346396613234268 C3(47,977) = 3.060540770227332848 C4(47,977) = 7816 Sum = 4269.486978656048238 Averaged sum = 0.4265647895550053190 logp*logq = 26.50628977236743058 -------------- ************************************* p = 47; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 332485530318.4257331 -------------- Searches starting with [47,983]-exponents: u = 34, v = 5 n_start has 72 digits starting right neighbors generation We generated 369 left neighbors We generated 9641 right neighbors We generated 10009 non-negative rho_i D1(47,983) = 0.8396373719154109408 D2(47,983) = 0.03389370654607456094 C1(47,983) = 1.160626895526656392 C2(47,983) = 1.814236162762467438 C3(47,983) = 4.781022560610024181 C4(47,983) = 7864 Sum = 3418.414540904684366 Averaged sum = 0.3415340734243864888 logp*logq = 26.52986217825607024 -------------- ************************************* p = 47; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 343025017658.6793931 -------------- Searches starting with [47,991]-exponents: u = 43, v = 5 n_start has 87 digits starting right neighbors generation We generated 494 left neighbors We generated 9516 right neighbors We generated 10009 non-negative rho_i D1(47,991) = 0.8517292115381792972 D2(47,991) = 0.01931065781906653085 C1(47,991) = 1.157011009219040203 C2(47,991) = 1.732426092293156246 C3(47,991) = 4.757773613539503756 C4(47,991) = 7928 Sum = 3350.812639227856638 Averaged sum = 0.3347799619570243419 logp*logq = 26.56106921923292689 -------------- ************************************* p = 47; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 351090414136.5486940 -------------- Searches starting with [47,997]-exponents: u = 52, v = 5 n_start has 102 digits starting right neighbors generation We generated 624 left neighbors We generated 9386 right neighbors We generated 10009 non-negative rho_i D1(47,997) = 0.7330512196677235274 D2(47,997) = 0.009429187656308818873 C1(47,997) = 0.9167417780371601783 C2(47,997) = 1.670320286265185197 C3(47,997) = 3.441371625876246439 C4(47,997) = 7976 Sum = 4126.711501687382106 Averaged sum = 0.4123000800966512245 logp*logq = 26.58430961737425228 -------------- ************************************* p = 53; q = 59; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10734935.06901048836 -------------- Searches starting with [53,59]-exponents: u = 1, v = 37 n_start has 68 digits starting right neighbors generation We generated 283 left neighbors We generated 9727 right neighbors We generated 10009 non-negative rho_i D1(53,59) = 1.218976179434758247 D2(53,59) = 0.02010531317160515951 C1(53,59) = 1.681035176972477281 C2(53,59) = 1.292344979823744619 C3(53,59) = 10.15410348218906675 C4(53,59) = 472 Sum = 3632.606463334166694 Averaged sum = 0.3629340057282612343 logp*logq = 16.18901394074486652 -------------- ************************************* p = 53; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12254077.05697642100 -------------- Searches starting with [53,61]-exponents: u = 1, v = 28 n_start has 52 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(53,61) = 0.8762357408209322140 D2(53,61) = 0.04443540652249259131 C1(53,61) = 1.129940996881309024 C2(53,61) = 1.392591780368743681 C3(53,61) = 4.749348339076694588 C4(53,61) = 488 Sum = 5135.510590300599009 Averaged sum = 0.5130892786792485772 logp*logq = 16.32136926056006130 -------------- ************************************* p = 53; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17784842.46784682935 -------------- Searches starting with [53,67]-exponents: u = 1, v = 16 n_start has 31 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(53,67) = 0.9896332515475582658 D2(53,67) = 0.002196259321065065286 C1(53,67) = 1.461733608400985064 C2(53,67) = 1.544217244706127858 C3(53,67) = 7.504450284731117301 C4(53,67) = 536 Sum = 4593.397517510094525 Averaged sum = 0.4589267177050748851 logp*logq = 16.69385710574024213 -------------- ************************************* p = 53; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22389069.87834650020 -------------- Searches starting with [53,71]-exponents: u = 1, v = 13 n_start has 26 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(53,71) = 0.6961822320384305698 D2(53,71) = 0.1355329914288830470 C1(53,71) = 0.9037361935417275791 C2(53,71) = 1.747333809035720156 C3(53,71) = 3.476782410365182020 C4(53,71) = 568 Sum = 5182.993174110785702 Averaged sum = 0.5178332674703552504 logp*logq = 16.92408344587848762 -------------- ************************************* p = 53; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24999751.04579802748 -------------- Searches starting with [53,73]-exponents: u = 1, v = 12 n_start has 25 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(53,73) = 1.224475557070300777 D2(53,73) = 0.1477237587529400264 C1(53,73) = 1.626016688942388428 C2(53,73) = 1.800402326559089994 C3(53,73) = 9.412289570760215217 C4(53,73) = 584 Sum = 5843.543677071860490 Averaged sum = 0.5838289216776761405 logp*logq = 17.03437642461481307 -------------- ************************************* p = 53; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34208457.79266967170 -------------- Searches starting with [53,79]-exponents: u = 1, v = 9 n_start has 19 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(53,79) = 1.016731082235815254 D2(53,79) = 0.1160520348422546527 C1(53,79) = 1.601372587169084568 C2(53,79) = 1.077681876371818273 C3(53,79) = 9.097830445775202006 C4(53,79) = 632 Sum = 5104.972782048167303 Averaged sum = 0.5100382437854098614 logp*logq = 17.34798347533750010 -------------- ************************************* p = 53; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41619823.26024671817 -------------- Searches starting with [53,83]-exponents: u = 1, v = 8 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(53,83) = 0.7265793007754901287 D2(53,83) = 0.1355092565145627160 C1(53,83) = 1.161671289939883509 C2(53,83) = 1.682839855128826539 C3(53,83) = 4.961749509053045207 C4(53,83) = 664 Sum = 5205.834670902391001 Averaged sum = 0.5201153632633021281 logp*logq = 17.54408713241057587 -------------- ************************************* p = 53; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54909486.17485357600 -------------- Searches starting with [53,89]-exponents: u = 1, v = 7 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(53,89) = 0.9704878959021297534 D2(53,89) = 0.09497560700856110539 C1(53,89) = 1.381202295487101505 C2(53,89) = 1.707826624743246036 C3(53,89) = 6.715756291550445126 C4(53,89) = 712 Sum = 4444.249053154455505 Averaged sum = 0.4440252825611405241 logp*logq = 17.82119668162346692 -------------- ************************************* p = 53; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77279401.61721473077 -------------- Searches starting with [53,97]-exponents: u = 1, v = 6 n_start has 14 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(53,97) = 0.8381219530978978367 D2(53,97) = 0.04741160816998284392 C1(53,97) = 1.129192680904004406 C2(53,97) = 1.742630348160255267 C3(53,97) = 4.744450452072719597 C4(53,97) = 776 Sum = 4521.285583927264142 Averaged sum = 0.4517220085849999142 logp*logq = 18.16293800479009548 -------------- ************************************* p = 53; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90727917.49254213678 -------------- Searches starting with [53,101]-exponents: u = 1, v = 6 n_start has 14 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(53,101) = 0.7410508908308543212 D2(53,101) = 0.01888842544986536132 C1(53,101) = 0.9490423646584703459 C2(53,101) = 1.294986765333489713 C3(53,101) = 3.700904374089774038 C4(53,101) = 808 Sum = 4999.849913724142502 Averaged sum = 0.4995354095038607754 logp*logq = 18.32337566808334151 -------------- ************************************* p = 53; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98073428.20515762408 -------------- Searches starting with [53,103]-exponents: u = 7, v = 5 n_start has 23 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(53,103) = 1.235143257196396466 D2(53,103) = 0.01312127530069930020 C1(53,103) = 2.110345261009272492 C2(53,103) = 0.9685739035205484440 C3(53,103) = 18.35363525977324963 C4(53,103) = 824 Sum = 5083.678421149655659 Averaged sum = 0.5079107224647472933 logp*logq = 18.40122702347373016 -------------- ************************************* p = 53; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114089585.4324610533 -------------- Searches starting with [53,107]-exponents: u = 7, v = 5 n_start has 23 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(53,107) = 0.7813355562911784037 D2(53,107) = 0.1278639564864068561 C1(53,107) = 1.140959289189901719 C2(53,107) = 1.714273535215023901 C3(53,107) = 4.822053500882937633 C4(53,107) = 856 Sum = 4964.830901351456060 Averaged sum = 0.4960366571437162613 logp*logq = 18.55249453487729261 -------------- ************************************* p = 53; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122794226.9143690832 -------------- Searches starting with [53,109]-exponents: u = 7, v = 5 n_start has 23 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(53,109) = 1.194230614770526524 D2(53,109) = 0.1112343720627685362 C1(53,109) = 1.836256567295121323 C2(53,109) = 0.9979096045314757893 C3(53,109) = 12.57742211407198059 C4(53,109) = 872 Sum = 3731.316954715046595 Averaged sum = 0.3727961789104852227 logp*logq = 18.62602056047424124 -------------- ************************************* p = 53; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141683978.0646495632 -------------- Searches starting with [53,113]-exponents: u = 25, v = 5 n_start has 54 digits starting right neighbors generation We generated 371 left neighbors We generated 9639 right neighbors We generated 10009 non-negative rho_i D1(53,113) = 0.8736990445719066827 D2(53,113) = 0.06154594887840557676 C1(53,113) = 1.247957302976288939 C2(53,113) = 1.682991940347896822 C3(53,113) = 5.588623288627538364 C4(53,113) = 904 Sum = 4228.103605085350001 Averaged sum = 0.4224301733525177342 logp*logq = 18.76910962885840987 -------------- ************************************* p = 53; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 225275986.9352671444 -------------- Searches starting with [53,127]-exponents: u = 6, v = 9 n_start has 30 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(53,127) = 0.6970669557656080838 D2(53,127) = 0.1224129408290819429 C1(53,127) = 0.9308721196929078354 C2(53,127) = 1.823207834323986436 C3(53,127) = 3.609334338285538449 C4(53,127) = 1016 Sum = 4381.423819121690027 Averaged sum = 0.4377484083446588097 logp*logq = 19.23283681710015820 -------------- ************************************* p = 53; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 254791598.7746030803 -------------- Searches starting with [53,131]-exponents: u = 11, v = 4 n_start has 28 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(53,131) = 0.6371368765265470051 D2(53,131) = 0.07516359679363423256 C1(53,131) = 0.8291729579379668685 C2(53,131) = 1.815977938276321140 C3(53,131) = 3.137092852086493232 C4(53,131) = 1048 Sum = 4996.967023853504005 Averaged sum = 0.4992473797435811774 logp*logq = 19.35595650927648214 -------------- ************************************* p = 53; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 304371783.6391779310 -------------- Searches starting with [53,137]-exponents: u = 26, v = 4 n_start has 54 digits starting right neighbors generation We generated 325 left neighbors We generated 9685 right neighbors We generated 10009 non-negative rho_i D1(53,137) = 0.8073010123511646731 D2(53,137) = 0.04207284822402294490 C1(53,137) = 1.082622433934814260 C2(53,137) = 1.666708198670197612 C3(53,137) = 4.449370864510596021 C4(53,137) = 1096 Sum = 4924.923943968516457 Averaged sum = 0.4920495498020298189 logp*logq = 19.53376048464608607 -------------- ************************************* p = 53; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 322399479.5648568612 -------------- Searches starting with [53,139]-exponents: u = 41, v = 4 n_start has 80 digits starting right neighbors generation We generated 732 left neighbors We generated 9278 right neighbors We generated 10009 non-negative rho_i D1(53,139) = 1.045147191071545593 D2(53,139) = 0.03179639572175223565 C1(53,139) = 1.367834625396485245 C2(53,139) = 1.574836096745450629 C3(53,139) = 6.593106131768502218 C4(53,139) = 1112 Sum = 5519.400899618388837 Averaged sum = 0.5514437905503435744 logp*logq = 19.59130195434251905 -------------- ************************************* p = 53; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 424799374.0373833974 -------------- Searches starting with [53,149]-exponents: u = 5, v = 23 n_start has 59 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(53,149) = 0.6511134215948651757 D2(53,149) = 0.07464572120936156361 C1(53,149) = 0.8496589680574491407 C2(53,149) = 1.665128845754482308 C3(53,149) = 3.226969463542658028 C4(53,149) = 1192 Sum = 4709.877193450234260 Averaged sum = 0.4705642115546242641 logp*logq = 19.86712755434426826 -------------- ************************************* p = 53; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 447893287.3536857929 -------------- Searches starting with [53,151]-exponents: u = 5, v = 15 n_start has 42 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(53,151) = 0.7339967129995331298 D2(53,151) = 0.04061358070965005294 C1(53,151) = 0.9472914263021365951 C2(53,151) = 1.734151027471652993 C3(53,151) = 3.691980193916954102 C4(53,151) = 1208 Sum = 4840.281641081215043 Averaged sum = 0.4835929304706978762 logp*logq = 19.92006556413440349 -------------- ************************************* p = 53; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 522832568.4179171984 -------------- Searches starting with [53,157]-exponents: u = 5, v = 7 n_start has 24 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(53,157) = 0.8327863973096728408 D2(53,157) = 0.1425702190753081248 C1(53,157) = 1.267895884424256425 C2(53,157) = 1.263236266496575188 C3(53,157) = 5.744397786283361065 C4(53,157) = 1256 Sum = 5022.367375991773588 Averaged sum = 0.5017851309812941940 logp*logq = 20.07477183390622334 -------------- ************************************* p = 53; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 606779021.1500755877 -------------- Searches starting with [53,163]-exponents: u = 5, v = 7 n_start has 25 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(53,163) = 0.8031373083767942510 D2(53,163) = 0.05107919607021006952 C1(53,163) = 1.065586958988746055 C2(53,163) = 1.919954370951745534 C3(53,163) = 4.346076654357153491 C4(53,163) = 1304 Sum = 5242.570172669168193 Averaged sum = 0.5237856102177208705 logp*logq = 20.22367523191758527 -------------- ************************************* p = 53; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 668087323.6926326747 -------------- Searches starting with [53,167]-exponents: u = 9, v = 3 n_start has 23 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(53,167) = 0.6500419578143080598 D2(53,167) = 0.04038773695398971521 C1(53,167) = 1.057967308982133377 C2(53,167) = 1.966056130081216668 C3(53,167) = 4.300654602509413268 C4(53,167) = 1336 Sum = 4976.635361457734032 Averaged sum = 0.4972160417082359908 logp*logq = 20.31992944704803792 -------------- ************************************* p = 53; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 768592859.5206050317 -------------- Searches starting with [53,173]-exponents: u = 9, v = 3 n_start has 23 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(53,173) = 0.7417666342439219037 D2(53,173) = 0.1483061041665324894 C1(53,173) = 0.9905646414952049494 C2(53,173) = 1.807750420370893120 C3(53,173) = 3.918973572263882575 C4(53,173) = 1384 Sum = 4261.015641801847616 Averaged sum = 0.4257184176043408548 logp*logq = 20.46007194581065186 -------------- ************************************* p = 53; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 880003037.7371538644 -------------- Searches starting with [53,179]-exponents: u = 13, v = 3 n_start has 30 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(53,179) = 0.6946202253690779634 D2(53,179) = 0.05980563563317291771 C1(53,179) = 0.8792551505355476047 C2(53,179) = 1.849330467283081510 C3(53,179) = 3.361380791068101040 C4(53,179) = 1432 Sum = 4556.445304779157318 Averaged sum = 0.4552348191406891115 logp*logq = 20.59543591740460669 -------------- ************************************* p = 53; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 919693229.1811018168 -------------- Searches starting with [53,181]-exponents: u = 17, v = 3 n_start has 37 digits starting right neighbors generation We generated 132 left neighbors We generated 9878 right neighbors We generated 10009 non-negative rho_i D1(53,181) = 0.9408295534203604110 D2(53,181) = 0.01821101096721593534 C1(53,181) = 1.190109357954254408 C2(53,181) = 1.810303082684825840 C3(53,181) = 5.160172128075154606 C4(53,181) = 1448 Sum = 4740.644984903678162 Averaged sum = 0.4736382240886879970 logp*logq = 20.63955072585941983 -------------- ************************************* p = 53; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1138592536.110880224 -------------- Searches starting with [53,191]-exponents: u = 41, v = 3 n_start has 78 digits starting right neighbors generation We generated 588 left neighbors We generated 9422 right neighbors We generated 10009 non-negative rho_i D1(53,191) = 0.7594192322475485874 D2(53,191) = 0.01435695992844056707 C1(53,191) = 0.9755795685753059002 C2(53,191) = 1.587189973612803925 C3(53,191) = 3.838830501941282085 C4(53,191) = 1528 Sum = 4789.790097152324605 Averaged sum = 0.4785483162306248981 logp*logq = 20.85305871913821681 -------------- ************************************* p = 53; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1186669286.113896925 -------------- Searches starting with [53,193]-exponents: u = 53, v = 3 n_start has 99 digits starting right neighbors generation We generated 891 left neighbors We generated 9119 right neighbors We generated 10009 non-negative rho_i D1(53,193) = 0.8314389286678190693 D2(53,193) = 0.02188362155217956678 C1(53,193) = 1.114995726787810692 C2(53,193) = 1.512923919995699276 C3(53,193) = 4.652479420935454085 C4(53,193) = 1544 Sum = 5289.758522907808538 Averaged sum = 0.5285002021088828592 logp*logq = 20.89441630053915559 -------------- ************************************* p = 53; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1287362053.509682923 -------------- Searches starting with [53,197]-exponents: u = 165, v = 3 n_start has 292 digits --- performed 5000 steps in the continued fraction search [53,197]-exponents: u = 98, v = 18 --- starting right neighbors generation We generated 8233 left neighbors We generated 1777 right neighbors We generated 10009 non-negative rho_i D1(53,197) = 0.6727910138652101515 D2(53,197) = 0.003913831407470427668 C1(53,197) = 0.8536277743556821157 C2(53,197) = 1.264457761649661845 C3(53,197) = 3.244676968035187137 C4(53,197) = 1576 Sum = 5404.661408579398711 Averaged sum = 0.5399801587150962844 logp*logq = 20.97586104185685360 -------------- ************************************* p = 53; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1340040054.084161052 -------------- Searches starting with [53,199]-exponents: u = 4221, v = 3 n_start has 7286 digits --- performed 5000 steps in the continued fraction search [53,199]-exponents: u = 1117, v = 2330 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,199) = 0.7200482948976927905 D2(53,199) = 0.6308207183377231117 C1(53,199) = 0.8389777965751696229 C2(53,199) = 1.388783050705165504 C3(53,199) = 3.179792133325761623 C4(53,199) = 1592 Sum = 6868.319429122728954 Averaged sum = 0.6869006329755704525 logp*logq = 21.01596534157008378 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,199) = 0.7200482948976927905 D2(53,199) = 0.6308207183377231117 C1(53,199) = 0.8389777965751696229 C2(53,199) = 1.388783050705165504 C3(53,199) = 3.179792133325761623 C4(53,199) = 1592 Sum = 6868.319429122728954 Averaged sum = 0.6869006329755704525 logp*logq = 21.01596534157008378 -------------- ************************************* p = 53; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1690751716.786486852 -------------- Searches starting with [53,211]-exponents: u = 4, v = 20 n_start has 54 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(53,211) = 0.8902049652160823232 D2(53,211) = 0.004204477900254424756 C1(53,211) = 1.247646564302822096 C2(53,211) = 1.692975274526640503 C3(53,211) = 5.586229306725398129 C4(53,211) = 1688 Sum = 4604.400840236333391 Averaged sum = 0.4600260605691211301 logp*logq = 21.24843906981817911 -------------- ************************************* p = 53; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2105987593.079243844 -------------- Searches starting with [53,223]-exponents: u = 4, v = 11 n_start has 33 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(53,223) = 1.048717440239184746 D2(53,223) = 0.1578946437357415363 C1(53,223) = 1.340085247709607354 C2(53,223) = 1.467272888564192191 C3(53,223) = 6.345606198803501114 C4(53,223) = 1784 Sum = 4997.457015026153210 Averaged sum = 0.4992963348012941563 logp*logq = 21.46805035941541131 -------------- ************************************* p = 53; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2260010250.479809564 -------------- Searches starting with [53,227]-exponents: u = 4, v = 8 n_start has 26 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(53,227) = 0.6638354566516633363 D2(53,227) = 0.01340090931296174909 C1(53,227) = 0.9103294785534303808 C2(53,227) = 1.932814739905097079 C3(53,227) = 3.508534237038083454 C4(53,227) = 1816 Sum = 4647.463296697080083 Averaged sum = 0.4643284340790368751 logp*logq = 21.53863518583085502 -------------- ************************************* p = 53; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2340107092.282842391 -------------- Searches starting with [53,229]-exponents: u = 4, v = 8 n_start has 26 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(53,229) = 0.9330325951223966250 D2(53,229) = 0.03698688511324761829 C1(53,229) = 1.327895760049029083 C2(53,229) = 1.958039913782939941 C3(53,229) = 6.239844658827035740 C4(53,229) = 1832 Sum = 3556.074401355535843 Averaged sum = 0.3552876812224533763 logp*logq = 21.57346253120163149 -------------- ************************************* p = 53; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2506652144.118611612 -------------- Searches starting with [53,233]-exponents: u = 4, v = 8 n_start has 26 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(53,233) = 0.7157749535861086913 D2(53,233) = 0.08607809630622147273 C1(53,233) = 1.127615860812656321 C2(53,233) = 1.368011543545444271 C3(53,233) = 4.734146358758407330 C4(53,233) = 1864 Sum = 4301.336892665540276 Averaged sum = 0.4297469170412169324 logp*logq = 21.64221389265356432 -------------- ************************************* p = 53; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2772898375.617608947 -------------- Searches starting with [53,239]-exponents: u = 11, v = 5 n_start has 31 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(53,239) = 1.016791090603176353 D2(53,239) = 0.07631277250330679255 C1(53,239) = 1.396850092344811929 C2(53,239) = 1.909912373794590781 C3(53,239) = 6.862228568000659343 C4(53,239) = 1912 Sum = 5110.082336243184131 Averaged sum = 0.5105487397585357310 logp*logq = 21.74315895509660743 -------------- ************************************* p = 53; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2866176969.961067247 -------------- Searches starting with [53,241]-exponents: u = 11, v = 5 n_start has 31 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(53,241) = 0.8097196249163014080 D2(53,241) = 0.06216778268885158427 C1(53,241) = 1.037671854272947357 C2(53,241) = 1.897548738727587189 C3(53,241) = 4.181972675536352855 C4(53,241) = 1928 Sum = 4879.556336277965722 Averaged sum = 0.4875168684461949967 logp*logq = 21.77624491251342253 -------------- ************************************* p = 53; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3368256616.419947801 -------------- Searches starting with [53,251]-exponents: u = 32, v = 5 n_start has 68 digits starting right neighbors generation We generated 477 left neighbors We generated 9533 right neighbors We generated 10009 non-negative rho_i D1(53,251) = 0.6820050323632034134 D2(53,251) = 0.07946022380207750736 C1(53,251) = 0.9533400640282546679 C2(53,251) = 1.771196437120844806 C3(53,251) = 3.722900442712258770 C4(53,251) = 2008 Sum = 4670.584857145929328 Averaged sum = 0.4666385110546437534 logp*logq = 21.93766112294772602 -------------- ************************************* p = 53; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3699457068.347291355 -------------- Searches starting with [53,257]-exponents: u = 116, v = 5 n_start has 213 digits starting right neighbors generation We generated 5313 left neighbors We generated 4697 right neighbors We generated 10009 non-negative rho_i D1(53,257) = 0.6752081623397389377 D2(53,257) = 0.008654604793148725070 C1(53,257) = 0.9730795533959912932 C2(53,257) = 1.609167282418688022 C3(53,257) = 3.825620374129703441 C4(53,257) = 2056 Sum = 4922.946404479702706 Averaged sum = 0.4918519736716657714 logp*logq = 22.03145190754495868 -------------- ************************************* p = 53; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4054438707.262358238 -------------- Searches starting with [53,263]-exponents: u = 7, v = 57 n_start has 151 digits starting right neighbors generation We generated 2587 left neighbors We generated 7423 right neighbors We generated 10009 non-negative rho_i D1(53,263) = 0.7887985629067972110 D2(53,263) = 0.02801852239064896766 C1(53,263) = 1.037002205964094821 C2(53,263) = 1.646657946740603964 C3(53,263) = 4.178113084962018015 C4(53,263) = 2104 Sum = 4456.259141229173238 Averaged sum = 0.4452252114326279587 logp*logq = 22.12307809502222828 -------------- ************************************* p = 53; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4434307734.493753167 -------------- Searches starting with [53,269]-exponents: u = 7, v = 17 n_start has 54 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(53,269) = 1.117674422856777105 D2(53,269) = 0.07515552777626622776 C1(53,269) = 1.566451219858019003 C2(53,269) = 1.800878898584578453 C3(53,269) = 8.670140601276691618 C4(53,269) = 2152 Sum = 5083.727573895858252 Averaged sum = 0.5079156333195981868 logp*logq = 22.21263734909121727 -------------- ************************************* p = 53; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4566656036.321331179 -------------- Searches starting with [53,271]-exponents: u = 7, v = 17 n_start has 54 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(53,271) = 0.7015724162872834803 D2(53,271) = 0.1041645003318723910 C1(53,271) = 0.9102913829488065381 C2(53,271) = 1.831183091650942999 C3(53,271) = 3.508349946542456494 C4(53,271) = 2168 Sum = 4592.652810843832831 Averaged sum = 0.4588523140017816796 logp*logq = 22.24204705329682415 -------------- ************************************* p = 53; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4981471800.017419557 -------------- Searches starting with [53,277]-exponents: u = 7, v = 12 n_start has 42 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(53,277) = 1.185785059437196148 D2(53,277) = 0.01384353576099242632 C1(53,277) = 1.762891321205957607 C2(53,277) = 1.746183021900576504 C3(53,277) = 11.36734081054438095 C4(53,277) = 2216 Sum = 3130.518104429941026 Averaged sum = 0.3127703171575523055 logp*logq = 22.32899122649116037 -------------- ************************************* p = 53; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5273256547.708755641 -------------- Searches starting with [53,281]-exponents: u = 7, v = 7 n_start has 30 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(53,281) = 0.6427768381229262823 D2(53,281) = 0.03000662308105660592 C1(53,281) = 0.8155463442931096452 C2(53,281) = 1.933556524082321496 C3(53,281) = 3.078700563430668764 C4(53,281) = 2248 Sum = 4532.644423260374314 Averaged sum = 0.4528568711420096228 logp*logq = 22.38591394939461863 -------------- ************************************* p = 53; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5423852352.682302700 -------------- Searches starting with [53,283]-exponents: u = 7, v = 7 n_start has 30 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(53,283) = 0.7493963617346169465 D2(53,283) = 0.03751003153937574850 C1(53,283) = 0.9784652109291092457 C2(53,283) = 1.942462520441888560 C3(53,283) = 3.854135013559407740 C4(53,283) = 2264 Sum = 4961.965365510972739 Averaged sum = 0.4957503612259938794 logp*logq = 22.41407216610085960 -------------- ************************************* p = 53; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6225648042.929881427 -------------- Searches starting with [53,293]-exponents: u = 10, v = 2 n_start has 23 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(53,293) = 0.7641208999531180998 D2(53,293) = 0.04738077311870063578 C1(53,293) = 1.221693641108619549 C2(53,293) = 2.131287469246328049 C3(53,293) = 5.389861011002099180 C4(53,293) = 2344 Sum = 4398.706438542125660 Averaged sum = 0.4394751162495879369 logp*logq = 22.55194337716072052 -------------- ************************************* p = 53; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7493166451.808203463 -------------- Searches starting with [53,307]-exponents: u = 10, v = 2 n_start has 23 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(53,307) = 0.6575956777675112895 D2(53,307) = 0.1239197395721296150 C1(53,307) = 1.011292271820838294 C2(53,307) = 1.897598889899066211 C3(53,307) = 4.032594049674965490 C4(53,307) = 2456 Sum = 4504.068189180834637 Averaged sum = 0.4500018172825291875 logp*logq = 22.73725730238963180 -------------- ************************************* p = 53; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7888354419.290532125 -------------- Searches starting with [53,311]-exponents: u = 13, v = 2 n_start has 28 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(53,311) = 0.7844196101883208583 D2(53,311) = 0.09880565023552651876 C1(53,311) = 1.206099997578273486 C2(53,311) = 1.349769713802356031 C3(53,311) = 5.275209871218369276 C4(53,311) = 2488 Sum = 4885.297229722584605 Averaged sum = 0.4880904415748411035 logp*logq = 22.78865338468899748 -------------- ************************************* p = 53; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8091694976.004999410 -------------- Searches starting with [53,313]-exponents: u = 13, v = 2 n_start has 28 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(53,313) = 0.8479460688554884929 D2(53,313) = 0.09589773216796555647 C1(53,313) = 1.139710040235873899 C2(53,313) = 2.063317633586811981 C3(53,313) = 4.813754595975787095 C4(53,313) = 2504 Sum = 4092.328765411705310 Averaged sum = 0.4088648981328509651 logp*logq = 22.81410406102897266 -------------- ************************************* p = 53; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8510113730.393369136 -------------- Searches starting with [53,317]-exponents: u = 13, v = 2 n_start has 28 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(53,317) = 0.6763047988411053464 D2(53,317) = 0.04403605110830652201 C1(53,317) = 0.9532379523794753705 C2(53,317) = 2.014530647707409430 C3(53,317) = 3.722376311656912377 C4(53,317) = 2536 Sum = 4595.242703305958883 Averaged sum = 0.4591110703672653495 logp*logq = 22.86452114376593729 -------------- ************************************* p = 53; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10103054766.89214278 -------------- Searches starting with [53,331]-exponents: u = 16, v = 2 n_start has 33 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(53,331) = 1.115702213061529511 D2(53,331) = 0.04407476511436072967 C1(53,331) = 1.638188803310219431 C2(53,331) = 1.929679988153503813 C3(53,331) = 9.571592816182807022 C4(53,331) = 2648 Sum = 4219.386322081502724 Averaged sum = 0.4215592289021383478 logp*logq = 23.03610366723172740 -------------- ************************************* p = 53; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10849970462.51926043 -------------- Searches starting with [53,337]-exponents: u = 19, v = 2 n_start has 38 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(53,337) = 1.271440208690560745 D2(53,337) = 0.1017438566653578524 C1(53,337) = 1.632176846967388687 C2(53,337) = 1.918768984754296134 C3(53,337) = 9.492576826473017836 C4(53,337) = 2696 Sum = 5437.269709483944544 Averaged sum = 0.5432380566973668243 logp*logq = 23.10742819458071886 -------------- ************************************* p = 53; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12185674452.80370357 -------------- Searches starting with [53,347]-exponents: u = 25, v = 2 n_start has 49 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(53,347) = 0.8037570673124447938 D2(53,347) = 0.04082099594882084592 C1(53,347) = 1.014343928450577779 C2(53,347) = 1.806234625992611496 C3(53,347) = 4.049597926321598362 C4(53,347) = 2776 Sum = 4677.082648172000212 Averaged sum = 0.4672877058819063055 logp*logq = 23.22352687356305955 -------------- ************************************* p = 53; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12466921653.59290346 -------------- Searches starting with [53,349]-exponents: u = 28, v = 2 n_start has 54 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(53,349) = 0.7153265016949665846 D2(53,349) = 0.005718251114243751813 C1(53,349) = 0.9132402181448739184 C2(53,349) = 1.772386199477072415 C3(53,349) = 3.522643834578053587 C4(53,349) = 2792 Sum = 4804.343320080977912 Averaged sum = 0.4800023299111777312 logp*logq = 23.24634470598637476 -------------- ************************************* p = 53; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13043955555.00163495 -------------- Searches starting with [53,353]-exponents: u = 31, v = 2 n_start has 59 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(53,353) = 0.8692843112322685913 D2(53,353) = 0.01884227512665063402 C1(53,353) = 1.130127850973660754 C2(53,353) = 1.739988277048207420 C3(53,353) = 4.750572127498050709 C4(53,353) = 2824 Sum = 5144.494787279944911 Averaged sum = 0.5139868905265206225 logp*logq = 23.29159068755409684 -------------- ************************************* p = 53; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13946679717.96622556 -------------- Searches starting with [53,359]-exponents: u = 40, v = 2 n_start has 75 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(53,359) = 0.7476728564257094858 D2(53,359) = 0.03376542781556669503 C1(53,359) = 0.9500622390978644898 C2(53,359) = 1.682968206034338257 C3(53,359) = 3.706112407041723913 C4(53,359) = 2872 Sum = 4667.731772654977277 Averaged sum = 0.4663534591522606931 logp*logq = 23.35850730383516865 -------------- ************************************* p = 53; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15222042699.88062332 -------------- Searches starting with [53,367]-exponents: u = 58, v = 2 n_start has 106 digits starting right neighbors generation We generated 713 left neighbors We generated 9297 right neighbors We generated 10009 non-negative rho_i D1(53,367) = 0.8577565298365656322 D2(53,367) = 0.02406102978117765399 C1(53,367) = 1.086248734221461746 C2(53,367) = 1.574113832715769091 C3(53,367) = 4.471673815651411341 C4(53,367) = 2936 Sum = 4500.533779610609271 Averaged sum = 0.4496486941363382227 logp*logq = 23.44601039193027435 -------------- ************************************* p = 53; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16234345295.83907646 -------------- Searches starting with [53,373]-exponents: u = 85, v = 2 n_start has 152 digits starting right neighbors generation We generated 1469 left neighbors We generated 8541 right neighbors We generated 10009 non-negative rho_i D1(53,373) = 0.7463654064125795408 D2(53,373) = 0.01052740550443979277 C1(53,373) = 0.9762177721225626541 C2(53,373) = 1.465856813871091359 C3(53,373) = 3.842210084067838674 C4(53,373) = 2984 Sum = 5188.938547746835401 Averaged sum = 0.5184272702314752124 logp*logq = 23.51039491497659392 -------------- ************************************* p = 53; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17296188244.08903875 -------------- Searches starting with [53,379]-exponents: u = 163, v = 2 n_start has 287 digits --- performed 5000 steps in the continued fraction search [53,379]-exponents: u = 24, v = 58 --- starting right neighbors generation We generated 5244 left neighbors We generated 4766 right neighbors We generated 10009 non-negative rho_i D1(53,379) = 0.9620769110435942443 D2(53,379) = 0.004895085004071816976 C1(53,379) = 1.221574895496970224 C2(53,379) = 1.318776203664003432 C3(53,379) = 5.388978595078906260 C4(53,379) = 3032 Sum = 5338.286215917691912 Averaged sum = 0.5333486078447089531 logp*logq = 23.57375198146171021 -------------- ************************************* p = 53; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18032386336.58604063 -------------- Searches starting with [53,383]-exponents: u = 400, v = 2 n_start has 695 digits --- performed 5000 steps in the continued fraction search [53,383]-exponents: u = 231, v = 102 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,383) = 0.6450772799721196739 D2(53,383) = 0.2063913281005153261 C1(53,383) = 0.7935314860835814741 C2(53,383) = 1.309466531737551606 C3(53,383) = 2.986650884818525008 C4(53,383) = 3064 Sum = 5719.913587930318234 Averaged sum = 0.5720485636493967631 logp*logq = 23.61543521906900126 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,383) = 0.6450772799721196739 D2(53,383) = 0.2063913281005153261 C1(53,383) = 0.7935314860835814741 C2(53,383) = 1.309466531737551606 C3(53,383) = 2.986650884818525008 C4(53,383) = 3064 Sum = 5719.913587930318234 Averaged sum = 0.5720485636493967631 logp*logq = 23.61543521906900126 -------------- ************************************* p = 53; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19180324861.95051065 -------------- Searches starting with [53,389]-exponents: u = 3, v = 243 n_start has 635 digits --- performed 5000 steps in the continued fraction search [53,389]-exponents: u = 105, v = 161 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,389) = 0.6858572839958344388 D2(53,389) = 0.1855233576425631569 C1(53,389) = 0.8461461653155425121 C2(53,389) = 1.307738307366075200 C3(53,389) = 3.211377133265170658 C4(53,389) = 3112 Sum = 5664.925589877789974 Averaged sum = 0.5665492139091699144 logp*logq = 23.67715084379478784 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,389) = 0.6858572839958344388 D2(53,389) = 0.1855233576425631569 C1(53,389) = 0.8461461653155425121 C2(53,389) = 1.307738307366075200 C3(53,389) = 3.211377133265170658 C4(53,389) = 3112 Sum = 5664.925589877789974 Averaged sum = 0.5665492139091699144 logp*logq = 23.67715084379478784 -------------- ************************************* p = 53; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20794904681.80734369 -------------- Searches starting with [53,397]-exponents: u = 3, v = 69 n_start has 185 digits starting right neighbors generation We generated 2135 left neighbors We generated 7875 right neighbors We generated 10009 non-negative rho_i D1(53,397) = 0.6585997479519023938 D2(53,397) = 0.01709255687931917195 C1(53,397) = 0.8541285759203372977 C2(53,397) = 1.434816889908516891 C3(53,397) = 3.246918272477801124 C4(53,397) = 3176 Sum = 4516.608256384766196 Averaged sum = 0.4512546964117060841 logp*logq = 23.75797382642351205 -------------- ************************************* p = 53; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21639292254.90049988 -------------- Searches starting with [53,401]-exponents: u = 3, v = 51 n_start has 138 digits starting right neighbors generation We generated 1196 left neighbors We generated 8814 right neighbors We generated 10009 non-negative rho_i D1(53,401) = 0.6779809884139495528 D2(53,401) = 0.02144281019774665831 C1(53,401) = 0.8931935386422126162 C2(53,401) = 1.513640931493317251 C3(53,401) = 3.426607282048848158 C4(53,401) = 3208 Sum = 4102.652511508173953 Averaged sum = 0.4098963444408206567 logp*logq = 23.79777658497860599 -------------- ************************************* p = 53; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23404745887.30578384 -------------- Searches starting with [53,409]-exponents: u = 3, v = 33 n_start has 92 digits starting right neighbors generation We generated 527 left neighbors We generated 9483 right neighbors We generated 10009 non-negative rho_i D1(53,409) = 0.8144334213078472744 D2(53,409) = 0.01974223121898429388 C1(53,409) = 1.056729676312294648 C2(53,409) = 1.630111217404686397 C3(53,409) = 4.293321806969720834 C4(53,409) = 3272 Sum = 5045.181791168459084 Averaged sum = 0.5040645210479027959 logp*logq = 23.87620465444257229 -------------- ************************************* p = 53; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25760549988.46085135 -------------- Searches starting with [53,419]-exponents: u = 3, v = 23 n_start has 66 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(53,419) = 0.7581062024171766727 D2(53,419) = 0.04878647720247205239 C1(53,419) = 1.001744031205782772 C2(53,419) = 1.754484001206737799 C3(53,419) = 3.979850919513758045 C4(53,419) = 3352 Sum = 4777.072330384293987 Averaged sum = 0.4772776831236181423 logp*logq = 23.97211008843837439 -------------- ************************************* p = 53; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26252216910.03641202 -------------- Searches starting with [53,421]-exponents: u = 3, v = 21 n_start has 61 digits starting right neighbors generation We generated 231 left neighbors We generated 9779 right neighbors We generated 10009 non-negative rho_i D1(53,421) = 0.7873774334774254469 D2(53,421) = 0.006904644176898406229 C1(53,421) = 1.092739154428215409 C2(53,421) = 1.753451851267174861 C3(53,421) = 4.511871537452379153 C4(53,421) = 3368 Sum = 4366.584410228043344 Averaged sum = 0.4362658018011832694 logp*logq = 23.99101627613370248 -------------- ************************************* p = 53; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28816670599.11649175 -------------- Searches starting with [53,431]-exponents: u = 3, v = 17 n_start has 50 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(53,431) = 0.7934308243128212194 D2(53,431) = 0.07033883986740791572 C1(53,431) = 1.066433793418928214 C2(53,431) = 1.868013624636496283 C3(53,431) = 4.351154309714290865 C4(53,431) = 3448 Sum = 4402.860148112704033 Averaged sum = 0.4398901137089323641 logp*logq = 24.08421989687201590 -------------- ************************************* p = 53; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29351248210.53166075 -------------- Searches starting with [53,433]-exponents: u = 3, v = 17 n_start has 50 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(53,433) = 0.7924603940044122903 D2(53,433) = 0.1032867670982676986 C1(53,433) = 1.127857817613519318 C2(53,433) = 1.901706369617611862 C3(53,433) = 4.735726026375074092 C4(53,433) = 3464 Sum = 4264.958155734477538 Averaged sum = 0.4261123144904063880 logp*logq = 24.10260091078406593 -------------- ************************************* p = 53; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30999559068.85207286 -------------- Searches starting with [53,439]-exponents: u = 3, v = 15 n_start has 45 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(53,439) = 0.7181186030957455807 D2(53,439) = 0.06237699058514808551 C1(53,439) = 0.9256717031400749503 C2(53,439) = 1.920398986523767021 C3(53,439) = 3.583546029171951417 C4(53,439) = 3512 Sum = 4505.446478617567821 Averaged sum = 0.4501395222916942572 logp*logq = 24.15723881774498425 -------------- ************************************* p = 53; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32136258653.17947758 -------------- Searches starting with [53,443]-exponents: u = 3, v = 13 n_start has 40 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(53,443) = 0.7438346916902481572 D2(53,443) = 0.1188462120428752584 C1(53,443) = 0.9886385091367740718 C2(53,443) = 1.978363898063258289 C3(53,443) = 3.908579262893577205 C4(53,443) = 3544 Sum = 4364.364662935227648 Averaged sum = 0.4360440266695201966 logp*logq = 24.19325078267586459 -------------- ************************************* p = 53; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33899414746.90865037 -------------- Searches starting with [53,449]-exponents: u = 3, v = 13 n_start has 40 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(53,449) = 0.9655114421949455872 D2(53,449) = 0.03546422016035944586 C1(53,449) = 1.409932605291179782 C2(53,449) = 1.968850041083176431 C3(53,449) = 6.987137371042165309 C4(53,449) = 3592 Sum = 3667.197649592654956 Averaged sum = 0.3663900139467134535 logp*logq = 24.24666358708079973 -------------- ************************************* p = 53; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36361666550.74425969 -------------- Searches starting with [53,457]-exponents: u = 3, v = 11 n_start has 35 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(53,457) = 0.6391819943100878844 D2(53,457) = 0.1256803533818492820 C1(53,457) = 0.8601310554012325831 C2(53,457) = 2.062068216777437232 C3(53,457) = 3.273902764392821716 C4(53,457) = 3656 Sum = 4614.545524364072082 Averaged sum = 0.4610396167813040345 logp*logq = 24.31678093993425018 -------------- ************************************* p = 53; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37641787981.70158021 -------------- Searches starting with [53,461]-exponents: u = 3, v = 11 n_start has 35 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(53,461) = 0.8723152226630017264 D2(53,461) = 0.1253594688430469042 C1(53,461) = 1.094573561087063212 C2(53,461) = 1.336866344333391391 C3(53,461) = 4.523298096189526186 C4(53,461) = 3688 Sum = 4615.080341535413296 Averaged sum = 0.4610930504081739730 logp*logq = 24.35138065270600288 -------------- ************************************* p = 53; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38294345701.84161738 -------------- Searches starting with [53,463]-exponents: u = 3, v = 9 n_start has 30 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(53,463) = 0.9259705627141369283 D2(53,463) = 0.1244293826708925216 C1(53,463) = 1.376612553096835159 C2(53,463) = 1.275427181227030009 C3(53,463) = 6.673389702803812737 C4(53,463) = 3704 Sum = 4409.932371284259401 Averaged sum = 0.4405967000983374364 logp*logq = 24.36856809042866187 -------------- ************************************* p = 53; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39624812994.52467659 -------------- Searches starting with [53,467]-exponents: u = 3, v = 9 n_start has 30 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(53,467) = 1.035289958229315996 D2(53,467) = 0.02238073748001523352 C1(53,467) = 1.316215999926562977 C2(53,467) = 2.055945549620637307 C3(53,467) = 6.140159822982971766 C4(53,467) = 3736 Sum = 4703.726624825219304 Averaged sum = 0.4699497077455509345 logp*logq = 24.40272134975163881 -------------- ************************************* p = 53; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43824242141.33826029 -------------- Searches starting with [53,479]-exponents: u = 3, v = 9 n_start has 30 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(53,479) = 0.8041326356301019224 D2(53,479) = 0.09439375325244137764 C1(53,479) = 1.224382412088538775 C2(53,479) = 1.362747685117617157 C3(53,479) = 5.409880382085087581 C4(53,479) = 3832 Sum = 4557.153297263612319 Averaged sum = 0.4553055547271068357 logp*logq = 24.50345297476535615 -------------- ************************************* p = 53; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46803087354.13141637 -------------- Searches starting with [53,487]-exponents: u = 3, v = 7 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(53,487) = 0.6911869452766686813 D2(53,487) = 0.1164735205275167675 C1(53,487) = 0.9312357647853427128 C2(53,487) = 1.959578424229478438 C3(53,487) = 3.611144542129805091 C4(53,487) = 3896 Sum = 4054.495845036955959 Averaged sum = 0.4050850079964987471 logp*logq = 24.56921500679951862 -------------- ************************************* p = 53; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48348063839.53879911 -------------- Searches starting with [53,491]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(53,491) = 0.6096986273357353869 D2(53,491) = 0.1067955248390915140 C1(53,491) = 0.7910849881990941025 C2(53,491) = 1.951496608939565577 C3(53,491) = 2.976592905082876738 C4(53,491) = 3928 Sum = 4722.158699299569308 Averaged sum = 0.4717912577979387859 logp*logq = 24.60169201336011568 -------------- ************************************* p = 53; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51552149506.47607968 -------------- Searches starting with [53,499]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(53,499) = 0.6417488823451455929 D2(53,499) = 0.08117588586723075399 C1(53,499) = 0.8886957810747823457 C2(53,499) = 1.777912901523053822 C3(53,499) = 3.405422297676860113 C4(53,499) = 3992 Sum = 4605.149675589765085 Averaged sum = 0.4601008767698836132 logp*logq = 24.66585974404687369 -------------- ************************************* p = 53; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53212483066.08935120 -------------- Searches starting with [53,503]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(53,503) = 0.8152166308443526842 D2(53,503) = 0.01802099730463623828 C1(53,503) = 1.107167253855909770 C2(53,503) = 2.195070059793920075 C3(53,503) = 4.602529656373534284 C4(53,503) = 4024 Sum = 3669.059395119007034 Averaged sum = 0.3665760210929170780 logp*logq = 24.69755884986881263 -------------- ************************************* p = 53; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55777587154.34521037 -------------- Searches starting with [53,509]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(53,509) = 1.080962156882459748 D2(53,509) = 0.04740833405950410849 C1(53,509) = 1.384813320978307407 C2(53,509) = 1.357479865667683760 C3(53,509) = 6.749277592620284216 C4(53,509) = 4072 Sum = 4665.530385928381288 Averaged sum = 0.4661335184262544997 logp*logq = 24.74463796174450123 -------------- ************************************* p = 53; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61184137639.76650503 -------------- Searches starting with [53,521]-exponents: u = 11, v = 5 n_start has 33 digits **************************************************** Computing .... elapsed time = 9 minutes **************************************************** starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(53,521) = 0.7812068123989321325 D2(53,521) = 0.04663778812181081585 C1(53,521) = 1.053824589396139354 C2(53,521) = 2.045407170609374158 C3(53,521) = 4.276158664713562230 C4(53,521) = 4168 Sum = 3736.382238569866652 Averaged sum = 0.3733022518303393598 logp*logq = 24.83715380397674120 -------------- ************************************* p = 53; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62121977545.31938600 -------------- Searches starting with [53,523]-exponents: u = 11, v = 5 n_start has 33 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(53,523) = 0.6692292938700714834 D2(53,523) = 0.04258456543271825809 C1(53,523) = 0.8478930122032154329 C2(53,523) = 2.042159197886876446 C3(53,523) = 3.219121448740930951 C4(53,523) = 4184 Sum = 4363.053288292495675 Averaged sum = 0.4359130071228390123 logp*logq = 24.85236566899771510 -------------- ************************************* p = 53; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71054403808.91386707 -------------- Searches starting with [53,541]-exponents: u = 19, v = 5 n_start has 47 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(53,541) = 0.7574701973192986321 D2(53,541) = 0.007589709477412874380 C1(53,541) = 0.9661914458265881740 C2(53,541) = 1.840559044166819953 C3(53,541) = 3.789458177550193931 C4(53,541) = 4328 Sum = 4543.270392421071669 Averaged sum = 0.4539185125807844608 logp*logq = 24.98671167139721175 -------------- ************************************* p = 53; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74235039020.96843548 -------------- Searches starting with [53,547]-exponents: u = 19, v = 5 n_start has 47 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(53,547) = 0.8116805829791738928 D2(53,547) = 0.1188575915264853577 C1(53,547) = 1.151275014859395421 C2(53,547) = 1.952829781962851905 C3(53,547) = 4.891131200809648373 C4(53,547) = 4376 Sum = 4257.844585443249363 Averaged sum = 0.4254015971069287005 logp*logq = 25.03050209965935063 -------------- ************************************* p = 53; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79771301387.93416631 -------------- Searches starting with [53,557]-exponents: u = 35, v = 5 n_start has 75 digits starting right neighbors generation We generated 516 left neighbors We generated 9494 right neighbors We generated 10009 non-negative rho_i D1(53,557) = 0.8393116900629230178 D2(53,557) = 0.05030391650988294626 C1(53,557) = 1.147006078233439788 C2(53,557) = 1.887937889540496347 C3(53,557) = 4.862425692988143970 C4(53,557) = 4456 Sum = 4631.138465185847933 Averaged sum = 0.4626974188416273287 logp*logq = 25.10242964498902678 -------------- ************************************* p = 53; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83237923637.02330645 -------------- Searches starting with [53,563]-exponents: u = 59, v = 5 n_start has 116 digits starting right neighbors generation We generated 1362 left neighbors We generated 8648 right neighbors We generated 10009 non-negative rho_i D1(53,563) = 0.7938715253515678952 D2(53,563) = 0.01486145678010329463 C1(53,563) = 1.054207577239526794 C2(53,563) = 1.854660615668994774 C3(53,563) = 4.278417409851310948 C4(53,563) = 4504 Sum = 5003.176049435077353 Averaged sum = 0.4998677239919150117 logp*logq = 25.14496889386740192 -------------- ************************************* p = 53; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86816036005.23869351 -------------- Searches starting with [53,569]-exponents: u = 147, v = 5 n_start has 268 digits --- performed 5000 steps in the continued fraction search [53,569]-exponents: u = 64, v = 12 --- starting right neighbors generation We generated 7435 left neighbors We generated 2575 right neighbors We generated 10009 non-negative rho_i D1(53,569) = 0.8631278201827472468 D2(53,569) = 0.0008773795600957251577 C1(53,569) = 1.101607113610899369 C2(53,569) = 1.735237788722986957 C3(53,569) = 4.567379084790016155 C4(53,569) = 4552 Sum = 4975.358238679432453 Averaged sum = 0.4970884442681019535 logp*logq = 25.18705718815329578 -------------- ************************************* p = 53; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88033921722.26904445 -------------- Searches starting with [53,571]-exponents: u = 243, v = 5 n_start has 433 digits --- performed 5000 steps in the continued fraction search [53,571]-exponents: u = 19, v = 123 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,571) = 0.5586056921784394974 D2(53,571) = 0.1903303541394360610 C1(53,571) = 0.7074576388310196428 C2(53,571) = 1.467912827389563824 C3(53,571) = 2.652415205440287946 C4(53,571) = 4568 Sum = 5338.458356003813161 Averaged sum = 0.5338992255229336095 logp*logq = 25.20098805126525105 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,571) = 0.5586056921784394974 D2(53,571) = 0.1903303541394360610 C1(53,571) = 0.7074576388310196428 C2(53,571) = 1.467912827389563824 C3(53,571) = 2.652415205440287946 C4(53,571) = 4568 Sum = 5338.458356003813161 Averaged sum = 0.5338992255229336095 logp*logq = 25.20098805126525105 -------------- ************************************* p = 53; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91764352150.57764351 -------------- Searches starting with [53,577]-exponents: u = 8, v = 143 n_start has 409 digits --- performed 5000 steps in the continued fraction search [53,577]-exponents: u = 111, v = 55 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,577) = 0.5604337596497510325 D2(53,577) = 0.1658707707941529016 C1(53,577) = 0.7134470661471560664 C2(53,577) = 1.470239804913291747 C3(53,577) = 2.674410769237369730 C4(53,577) = 4616 Sum = 5304.605453214465069 Averaged sum = 0.5305135966811146184 logp*logq = 25.24248973835700197 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,577) = 0.5604337596497510325 D2(53,577) = 0.1658707707941529016 C1(53,577) = 0.7134470661471560664 C2(53,577) = 1.470239804913291747 C3(53,577) = 2.674410769237369730 C4(53,577) = 4616 Sum = 5304.605453214465069 Averaged sum = 0.5305135966811146184 logp*logq = 25.24248973835700197 -------------- ************************************* p = 53; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98242965862.45909026 -------------- Searches starting with [53,587]-exponents: u = 8, v = 33 n_start has 106 digits starting right neighbors generation We generated 1088 left neighbors We generated 8922 right neighbors We generated 10009 non-negative rho_i D1(53,587) = 0.7031022805877974957 D2(53,587) = 0.03571642165278400743 C1(53,587) = 0.9077949878838242421 C2(53,587) = 1.854977509824156933 C3(53,587) = 3.496294515532035504 C4(53,587) = 4696 Sum = 4646.252154554805806 Averaged sum = 0.4642074287695879514 logp*logq = 25.31070949085756377 -------------- ************************************* p = 53; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102290811713.6134409 -------------- Searches starting with [53,593]-exponents: u = 8, v = 23 n_start has 78 digits starting right neighbors generation We generated 546 left neighbors We generated 9464 right neighbors We generated 10009 non-negative rho_i D1(53,593) = 0.9935212247775023268 D2(53,593) = 0.07589029237042352435 C1(53,593) = 1.264797705638042668 C2(53,593) = 1.896881463887253827 C3(53,593) = 5.719910681621806043 C4(53,593) = 4744 Sum = 4752.792858792187697 Averaged sum = 0.4748519191519819859 logp*logq = 25.35108568879896991 -------------- ************************************* p = 53; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106462155129.6173125 -------------- Searches starting with [53,599]-exponents: u = 8, v = 18 n_start has 64 digits starting right neighbors generation We generated 317 left neighbors We generated 9693 right neighbors We generated 10009 non-negative rho_i D1(53,599) = 1.251438587073074769 D2(53,599) = 0.01134090543427114216 C1(53,599) = 1.559860772079700273 C2(53,599) = 1.736201306868175041 C3(53,599) = 8.591710448970271968 C4(53,599) = 4792 Sum = 4238.252245460847014 Averaged sum = 0.4234441248337343405 logp*logq = 25.39105540804818815 -------------- ************************************* p = 53; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107880473752.0430679 -------------- Searches starting with [53,601]-exponents: u = 8, v = 13 n_start has 50 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(53,601) = 0.6951600075340634982 D2(53,601) = 0.01643907587635334499 C1(53,601) = 0.9798139881505684316 C2(53,601) = 1.840575639225807552 C3(53,601) = 3.861309400621652305 C4(53,601) = 4808 Sum = 4488.082986231374333 Averaged sum = 0.4484047343622114430 logp*logq = 25.40428972668070304 -------------- ************************************* p = 53; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112220333253.5230291 -------------- Searches starting with [53,607]-exponents: u = 8, v = 13 n_start has 50 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(53,607) = 0.6675166229429490644 D2(53,607) = 0.02998953547508918280 C1(53,607) = 0.8710640361577400511 C2(53,607) = 1.856001731728486771 C3(53,607) = 3.323630156559082998 C4(53,607) = 4856 Sum = 4288.729788205209387 Averaged sum = 0.4284873402143280434 logp*logq = 25.44373003690948132 -------------- ************************************* p = 53; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116689500639.0021834 -------------- Searches starting with [53,613]-exponents: u = 8, v = 8 n_start has 37 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(53,613) = 0.6888488640026367357 D2(53,613) = 0.04757712787367974250 C1(53,613) = 0.8964731191387100213 C2(53,613) = 2.029977530756817445 C3(53,613) = 3.442137540970781566 C4(53,613) = 4904 Sum = 4358.153009199752282 Averaged sum = 0.4354234198421173226 logp*logq = 25.48278240337402262 -------------- ************************************* p = 53; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119742031861.2862043 -------------- Searches starting with [53,617]-exponents: u = 8, v = 8 n_start has 37 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(53,617) = 0.7554161594650505478 D2(53,617) = 0.05782627560460860231 C1(53,617) = 0.9874683120265421692 C2(53,617) = 2.041454351816895724 C3(53,617) = 3.902277800098572166 C4(53,617) = 4936 Sum = 4594.375624410092997 Averaged sum = 0.4590244404446091514 logp*logq = 25.50860553124307538 -------------- ************************************* p = 53; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121290506306.0529092 -------------- Searches starting with [53,619]-exponents: u = 8, v = 8 n_start has 37 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(53,619) = 1.663651954414723292 D2(53,619) = 0.06302047408646059384 C1(53,619) = 2.314155275250885599 C2(53,619) = 2.047259339529540277 C3(53,619) = 24.30905670082596291 C4(53,619) = 4952 Sum = 5113.985733533633810 Averaged sum = 0.5109387284977154371 logp*logq = 25.52145438360140898 -------------- ************************************* p = 53; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130898274799.4119896 -------------- Searches starting with [53,631]-exponents: u = 8, v = 8 n_start has 37 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(53,631) = 0.8431905911546315930 D2(53,631) = 0.07557424043977024434 C1(53,631) = 1.296585590466315466 C2(53,631) = 1.365178515434084993 C3(53,631) = 5.976192056394469403 C4(53,631) = 5048 Sum = 4518.448987143853112 Averaged sum = 0.4514386039708115807 logp*logq = 25.59768633024456657 -------------- ************************************* p = 53; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139330352893.9920948 -------------- Searches starting with [53,641]-exponents: u = 13, v = 3 n_start has 31 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(53,641) = 0.8145099657131832834 D2(53,641) = 0.07398771940785122526 C1(53,641) = 1.078859628393615068 C2(53,641) = 2.155591753812922736 C3(53,641) = 4.426345951552572213 C4(53,641) = 5128 Sum = 4066.033329112457200 Averaged sum = 0.4062377189641779598 logp*logq = 25.66011358986129782 -------------- ************************************* p = 53; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141064364713.8685485 -------------- Searches starting with [53,643]-exponents: u = 13, v = 3 n_start has 31 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(53,643) = 0.8801697376911290135 D2(53,643) = 0.06514086440275323827 C1(53,643) = 1.180342262819364102 C2(53,643) = 2.147451825344916876 C3(53,643) = 5.091144608897728959 C4(53,643) = 5144 Sum = 4976.258377579925355 Averaged sum = 0.4971783772184958891 logp*logq = 25.67248211049833503 -------------- ************************************* p = 53; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 144580770649.2234509 -------------- Searches starting with [53,647]-exponents: u = 13, v = 3 n_start has 31 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(53,647) = 0.6647625606420780278 D2(53,647) = 0.04805174815464504949 C1(53,647) = 0.8565552521392060979 C2(53,647) = 2.131769899986815085 C3(53,647) = 3.257800648363052570 C4(53,647) = 5176 Sum = 4697.325967844852521 Averaged sum = 0.4693102175886554622 logp*logq = 25.69710415476596559 -------------- ************************************* p = 53; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149977821497.9699477 -------------- Searches starting with [53,653]-exponents: u = 13, v = 3 n_start has 31 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(53,653) = 0.6307754167004660415 D2(53,653) = 0.02377271818375602293 C1(53,653) = 0.8292576496161763072 C2(53,653) = 2.109585207138319012 C3(53,653) = 3.137459211389789561 C4(53,653) = 5224 Sum = 4371.940002170467905 Averaged sum = 0.4368008794255637831 logp*logq = 25.73375326343059004 -------------- ************************************* p = 53; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155524196682.8292860 -------------- Searches starting with [53,659]-exponents: u = 13, v = 3 n_start has 31 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(53,659) = 0.6243337300550196857 D2(53,659) = 0.0009094723202614718829 C1(53,659) = 0.9222666045569194743 C2(53,659) = 2.088796882518375929 C3(53,659) = 3.566760412309527893 C4(53,659) = 5272 Sum = 4679.278066931714907 Averaged sum = 0.4675070503478584181 logp*logq = 25.77006716213775107 -------------- ************************************* p = 53; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 157406640221.4157034 -------------- Searches starting with [53,661]-exponents: u = 13, v = 3 n_start has 31 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(53,661) = 0.8561812465768551973 D2(53,661) = 0.1383758359006393685 C1(53,661) = 1.080503328098250192 C2(53,661) = 1.431909075361570906 C3(53,661) = 4.436389191091686157 C4(53,661) = 5288 Sum = 4704.291510231510248 Averaged sum = 0.4700061454922080375 logp*logq = 25.78209835896119046 -------------- ************************************* p = 53; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169061742502.2962024 -------------- Searches starting with [53,673]-exponents: u = 18, v = 3 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(53,673) = 0.8729346669699648574 D2(53,673) = 0.1102766397058786762 C1(53,673) = 1.197053031846539989 C2(53,673) = 2.067941790557325077 C3(53,673) = 5.209813975112535349 C4(53,673) = 5384 Sum = 4237.630026233252407 Averaged sum = 0.4233819588603509249 logp*logq = 25.85352982539925874 -------------- ************************************* p = 53; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173086542155.0021863 -------------- Searches starting with [53,677]-exponents: u = 18, v = 3 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(53,677) = 0.6576917266270650614 D2(53,677) = 0.08296556595832069055 C1(53,677) = 0.8607526467238129517 C2(53,677) = 2.041915355072875744 C3(53,677) = 3.276709946577709150 C4(53,677) = 5416 Sum = 4302.999947135617853 Averaged sum = 0.4299130729479086675 logp*logq = 25.87705755003456998 -------------- ************************************* p = 53; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179257609031.3253066 -------------- Searches starting with [53,683]-exponents: u = 23, v = 3 n_start has 49 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(53,683) = 1.136374313584535847 D2(53,683) = 0.04555727635869430996 C1(53,683) = 1.463660214975040287 C2(53,683) = 2.006419719146467013 C3(53,683) = 7.524412220447545347 C4(53,683) = 5464 Sum = 4897.708390577642837 Averaged sum = 0.4893304416602700407 logp*logq = 25.91208976479339875 -------------- ************************************* p = 53; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187739963976.9437230 -------------- Searches starting with [53,691]-exponents: u = 23, v = 3 n_start has 49 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(53,691) = 0.8304909684221534878 D2(53,691) = 0.0008316578669119414252 C1(53,691) = 1.174159868270360565 C2(53,691) = 1.964218073624877869 C3(53,691) = 5.047929447260978192 C4(53,691) = 5528 Sum = 4120.304677556852927 Averaged sum = 0.4116599737792839372 logp*logq = 25.95832367197787473 -------------- ************************************* p = 53; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 198761028327.1533219 -------------- Searches starting with [53,701]-exponents: u = 33, v = 3 n_start has 66 digits starting right neighbors generation We generated 324 left neighbors We generated 9686 right neighbors We generated 10009 non-negative rho_i D1(53,701) = 0.7125485277129130234 D2(53,701) = 0.03660552800369460293 C1(53,701) = 0.9935403817945933525 C2(53,701) = 1.909178006979312144 C3(53,701) = 3.935086423248218101 C4(53,701) = 5608 Sum = 4254.651324985993937 Averaged sum = 0.4250825581962227932 logp*logq = 26.01536907737993326 -------------- ************************************* p = 53; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 207920684356.3464977 -------------- Searches starting with [53,709]-exponents: u = 38, v = 3 n_start has 75 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(53,709) = 0.5802741381538887727 D2(53,709) = 0.05155913840263876141 C1(53,709) = 0.7462632151296572730 C2(53,709) = 1.855929446168828632 C3(53,709) = 2.798202619224978740 C4(53,709) = 5672 Sum = 4697.424223842133422 Averaged sum = 0.4693200343532953763 logp*logq = 26.06042251871491070 -------------- ************************************* p = 53; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 219810084240.1015024 -------------- Searches starting with [53,719]-exponents: u = 53, v = 3 n_start has 100 digits starting right neighbors generation We generated 757 left neighbors We generated 9253 right neighbors We generated 10009 non-negative rho_i D1(53,719) = 0.6963660912592834350 D2(53,719) = 0.01554300751634847752 C1(53,719) = 0.9002456964222486789 C2(53,719) = 1.766932262732916910 C3(53,719) = 3.460089430268649640 C4(53,719) = 5752 Sum = 4782.377592136421598 Averaged sum = 0.4778077322546130080 logp*logq = 26.11602975702685265 -------------- ************************************* p = 53; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 229681984439.5417269 -------------- Searches starting with [53,727]-exponents: u = 73, v = 3 n_start has 135 digits starting right neighbors generation We generated 1370 left neighbors We generated 8640 right neighbors We generated 10009 non-negative rho_i D1(53,727) = 0.9999528279590882487 D2(53,727) = 0.007361892396424858547 C1(53,727) = 1.316425176596267556 C2(53,727) = 1.676741505239054608 C3(53,727) = 6.141931029925884293 C4(53,727) = 5816 Sum = 5694.897906747485721 Averaged sum = 0.5689777107350869938 logp*logq = 26.15996151274079830 -------------- ************************************* p = 53; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 237300767034.9474888 -------------- Searches starting with [53,733]-exponents: u = 108, v = 3 n_start has 195 digits starting right neighbors generation We generated 2963 left neighbors We generated 7047 right neighbors We generated 10009 non-negative rho_i D1(53,733) = 0.6208917319290675751 D2(53,733) = 0.003652859349004179927 C1(53,733) = 0.8037379785075945787 C2(53,733) = 1.587388643315896847 C3(53,733) = 3.028979518919774095 C4(53,733) = 5864 Sum = 4447.737331932648404 Averaged sum = 0.4443737967761662907 logp*logq = 26.19259423272570945 -------------- ************************************* p = 53; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 245107057673.4658953 -------------- Searches starting with [53,739]-exponents: u = 183, v = 3 n_start has 325 digits --- performed 5000 steps in the continued fraction search [53,739]-exponents: u = 30, v = 63 --- starting right neighbors generation We generated 7959 left neighbors We generated 2051 right neighbors We generated 10009 non-negative rho_i D1(53,739) = 0.6218531131503876714 D2(53,739) = 0.01142293427021287329 C1(53,739) = 0.7855977463584318123 C2(53,739) = 1.461955105030977032 C3(53,739) = 2.954156907094386426 C4(53,739) = 5912 Sum = 5115.191288631427337 Averaged sum = 0.5110591756050981453 logp*logq = 26.22496092214328800 -------------- ************************************* p = 53; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 250416920881.3307184 -------------- Searches starting with [53,743]-exponents: u = 338, v = 3 n_start has 592 digits --- performed 5000 steps in the continued fraction search [53,743]-exponents: u = 71, v = 148 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,743) = 0.6061377974696490401 D2(53,743) = 0.2084725721779762624 C1(53,743) = 0.7496652273504861480 C2(53,743) = 1.438162630710102182 C3(53,743) = 2.811359343751399716 C4(53,743) = 5944 Sum = 5476.786758389540515 Averaged sum = 0.5477334491838724387 logp*logq = 26.24639304929391521 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,743) = 0.6061377974696490401 D2(53,743) = 0.2084725721779762624 C1(53,743) = 0.7496652273504861480 C2(53,743) = 1.438162630710102182 C3(53,743) = 2.811359343751399716 C4(53,743) = 5944 Sum = 5476.786758389540515 Averaged sum = 0.5477334491838724387 logp*logq = 26.24639304929391521 -------------- ************************************* p = 53; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 261294331438.7493111 -------------- Searches starting with [53,751]-exponents: u = 5, v = 310 n_start has 901 digits --- performed 5000 steps in the continued fraction search [53,751]-exponents: u = 27, v = 287 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,751) = 0.6900368260600501971 D2(53,751) = 0.3053257519516203764 C1(53,751) = 0.8423165909028506521 C2(53,751) = 1.454431914383382137 C3(53,751) = 3.194464568798627594 C4(53,751) = 6008 Sum = 5713.619344548506452 Averaged sum = 0.5714190763624868938 logp*logq = 26.28891331554746099 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(53,751) = 0.6900368260600501971 D2(53,751) = 0.3053257519516203764 C1(53,751) = 0.8423165909028506521 C2(53,751) = 1.454431914383382137 C3(53,751) = 3.194464568798627594 C4(53,751) = 6008 Sum = 5713.619344548506452 Averaged sum = 0.5714190763624868938 logp*logq = 26.28891331554746099 -------------- ************************************* p = 53; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269681458770.5048633 -------------- Searches starting with [53,757]-exponents: u = 5, v = 106 n_start has 314 digits --- performed 5000 steps in the continued fraction search [53,757]-exponents: u = 31, v = 57 --- starting right neighbors generation We generated 7607 left neighbors We generated 2403 right neighbors We generated 10009 non-negative rho_i D1(53,757) = 0.7433885269663747198 D2(53,757) = 0.001570146381857573041 C1(53,757) = 0.9403547526173250196 C2(53,757) = 1.471683664813029619 C3(53,757) = 3.656836361482939542 C4(53,757) = 6056 Sum = 5102.693737485185326 Averaged sum = 0.5098105442586857155 logp*logq = 26.32050731712228853 -------------- ************************************* p = 53; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 275383682168.8131210 -------------- Searches starting with [53,761]-exponents: u = 5, v = 73 n_start has 219 digits starting right neighbors generation We generated 3640 left neighbors We generated 6370 right neighbors We generated 10009 non-negative rho_i D1(53,761) = 0.8490123644807054859 D2(53,761) = 0.005919723861565657693 C1(53,761) = 1.090673527994743946 C2(53,761) = 1.557728313371946962 C3(53,761) = 4.499039254178694685 C4(53,761) = 6088 Sum = 5123.274111126780611 Averaged sum = 0.5118667310547288051 logp*logq = 26.34143117010141219 -------------- ************************************* p = 53; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287058234861.0981069 -------------- Searches starting with [53,769]-exponents: u = 5, v = 46 n_start has 142 digits starting right neighbors generation We generated 1453 left neighbors We generated 8557 right neighbors We generated 10009 non-negative rho_i D1(53,769) = 0.7640188467351251764 D2(53,769) = 0.02679102983496587808 C1(53,769) = 0.9718466958515373611 C2(53,769) = 1.680878286176972828 C3(53,769) = 3.819122677295292387 C4(53,769) = 6152 Sum = 4537.745498664397268 Averaged sum = 0.4533665199984411297 logp*logq = 26.38295094104648769 -------------- ************************************* p = 53; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 293032432062.7346900 -------------- Searches starting with [53,773]-exponents: u = 5, v = 37 n_start has 116 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(53,773) = 1.152427787197206004 D2(53,773) = 0.04020082815537999277 C1(53,773) = 1.530341998331075345 C2(53,773) = 1.729528842872432555 C3(53,773) = 8.249034657532754659 C4(53,773) = 6184 Sum = 6169.330500011295764 Averaged sum = 0.6163783095225592730 logp*logq = 26.40354912947173975 -------------- ************************************* p = 53; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 314677043911.2211515 -------------- Searches starting with [53,787]-exponents: u = 5, v = 25 n_start has 82 digits starting right neighbors generation We generated 500 left neighbors We generated 9510 right neighbors We generated 10009 non-negative rho_i D1(53,787) = 0.6865394037894938408 D2(53,787) = 0.01442517367801123666 C1(53,787) = 0.8807115919400411070 C2(53,787) = 1.854967560686651316 C3(53,787) = 3.368137895534079899 C4(53,787) = 6296 Sum = 4485.739621581901299 Averaged sum = 0.4481706086104407332 logp*logq = 26.47481269241144549 -------------- ************************************* p = 53; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 330854092445.6576495 -------------- Searches starting with [53,797]-exponents: u = 5, v = 19 n_start has 64 digits starting right neighbors generation We generated 310 left neighbors We generated 9700 right neighbors We generated 10009 non-negative rho_i D1(53,797) = 0.7411040347779707250 D2(53,797) = 0.002959220107102296669 C1(53,797) = 0.9389561069122107208 C2(53,797) = 1.922021516531122727 C3(53,797) = 3.649790918664442637 C4(53,797) = 6376 Sum = 4436.059361525042852 Averaged sum = 0.4432070498076773756 logp*logq = 26.52494330681764913 -------------- ************************************* p = 53; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 351078715224.4083463 -------------- Searches starting with [53,809]-exponents: u = 5, v = 16 n_start has 56 digits starting right neighbors generation We generated 203 left neighbors We generated 9807 right neighbors We generated 10009 non-negative rho_i D1(53,809) = 0.6057003966122372086 D2(53,809) = 0.07474347042439458714 C1(53,809) = 0.7823673783608718894 C2(53,809) = 1.996294327654312074 C3(53,809) = 2.941027882462684449 C4(53,809) = 6472 Sum = 4620.171037752379845 Averaged sum = 0.4616016622791867164 logp*logq = 26.58427629516838408 -------------- ************************************* p = 53; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 354537333346.9489647 -------------- Searches starting with [53,811]-exponents: u = 5, v = 16 n_start has 56 digits starting right neighbors generation We generated 203 left neighbors We generated 9807 right neighbors We generated 10009 non-negative rho_i D1(53,811) = 0.7814031859105721562 D2(53,811) = 0.08798405105601040749 C1(53,811) = 1.108333121738858158 C2(53,811) = 2.009946021782688259 C3(53,811) = 4.609934379248905142 C4(53,811) = 6488 Sum = 4154.390148121244003 Averaged sum = 0.4150654559018127688 logp*logq = 26.59407949005893033 -------------- ************************************* p = 53; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 372214313601.7902896 -------------- Searches starting with [53,821]-exponents: u = 5, v = 13 n_start has 47 digits starting right neighbors generation We generated 165 left neighbors We generated 9845 right neighbors We generated 10009 non-negative rho_i D1(53,821) = 0.7147795410466492662 D2(53,821) = 0.01088238181459002442 C1(53,821) = 0.9206423195202493563 C2(53,821) = 2.038856828334692158 C3(53,821) = 3.558781132449777462 C4(53,821) = 6568 Sum = 4705.646124355079654 Averaged sum = 0.4701414850989189383 logp*logq = 26.64273563716361595 -------------- ************************************* p = 53; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 375827357601.7550947 -------------- Searches starting with [53,823]-exponents: u = 5, v = 13 n_start has 47 digits starting right neighbors generation We generated 165 left neighbors We generated 9845 right neighbors We generated 10009 non-negative rho_i D1(53,823) = 0.6249746247501754723 D2(53,823) = 0.01900294846636199198 C1(53,823) = 0.8150978468755239890 C2(53,823) = 2.047404412649945040 C3(53,823) = 3.076797265066504008 C4(53,823) = 6584 Sum = 4614.608649656608355 Averaged sum = 0.4610459236343898846 logp*logq = 26.65239571957774509 -------------- ************************************* p = 53; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 383132093179.9030111 -------------- Searches starting with [53,827]-exponents: u = 5, v = 13 n_start has 47 digits starting right neighbors generation We generated 165 left neighbors We generated 9845 right neighbors We generated 10009 non-negative rho_i D1(53,827) = 0.9384979511441762768 D2(53,827) = 0.03564231638805860706 C1(53,827) = 1.357162494373409807 C2(53,827) = 2.064894657894793730 C3(53,827) = 6.496797872658931794 C4(53,827) = 6616 Sum = 3448.123462191207988 Averaged sum = 0.3445022941543818552 logp*logq = 26.67164565747503962 -------------- ************************************* p = 53; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 386824035995.1988792 -------------- Searches starting with [53,829]-exponents: u = 5, v = 10 n_start has 38 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(53,829) = 0.9172080046871727155 D2(53,829) = 0.04417651745150404327 C1(53,829) = 1.326352413873099672 C2(53,829) = 2.073852728890492535 C3(53,829) = 6.226580220352038529 C4(53,829) = 6632 Sum = 3904.655134971275749 Averaged sum = 0.3901144105276526874 logp*logq = 26.68123573922364734 -------------- ************************************* p = 53; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 405684551666.9359191 -------------- Searches starting with [53,839]-exponents: u = 5, v = 10 n_start has 38 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(53,839) = 1.492678172772357345 D2(53,839) = 0.08936206841755320542 C1(53,839) = 2.054471847739416037 C2(53,839) = 2.121142144336907139 C3(53,839) = 16.99275685064885176 C4(53,839) = 6712 Sum = 5723.158299755980696 Averaged sum = 0.5718012088875992303 logp*logq = 26.72884172821576601 -------------- ************************************* p = 53; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 433234703240.1144627 -------------- Searches starting with [53,853]-exponents: u = 5, v = 10 n_start has 38 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(53,853) = 1.165032491842442280 D2(53,853) = 0.09017563824436760099 C1(53,853) = 1.732040569796927393 C2(53,853) = 1.187575907624740522 C3(53,853) = 10.89393447648954966 C4(53,853) = 6824 Sum = 2406.084581016416441 Averaged sum = 0.2403921052069553842 logp*logq = 26.79454545791389054 -------------- ************************************* p = 53; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 441357021260.1356899 -------------- Searches starting with [53,857]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(53,857) = 0.7629993696506025786 D2(53,857) = 0.1226233152195485436 C1(53,857) = 1.134328187698829082 C2(53,857) = 1.467484633392859354 C3(53,857) = 4.778165323981282312 C4(53,857) = 6856 Sum = 4450.423140501707843 Averaged sum = 0.4446421361276558940 logp*logq = 26.81311995688503793 -------------- ************************************* p = 53; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 445460635988.6294374 -------------- Searches starting with [53,859]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(53,859) = 0.6499065876710770595 D2(53,859) = 0.1410606360507767270 C1(53,859) = 0.9661965541387663292 C2(53,859) = 1.591604186704550006 C3(53,859) = 3.789484868856694164 C4(53,859) = 6872 Sum = 4652.135056864764753 Averaged sum = 0.4647951900154625590 logp*logq = 26.82237472078082454 -------------- ************************************* p = 53; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 453753429338.4042376 -------------- Searches starting with [53,863]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(53,863) = 0.8991532516216249625 D2(53,863) = 0.1338781168171272700 C1(53,863) = 1.198392405386258458 C2(53,863) = 2.036875142121110822 C3(53,863) = 5.219444251934980117 C4(53,863) = 6904 Sum = 5024.815996675570648 Averaged sum = 0.5020297728719722897 logp*logq = 26.84081978026749974 -------------- ************************************* p = 53; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 483690421465.6510243 -------------- Searches starting with [53,877]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(53,877) = 0.6409912429479943723 D2(53,877) = 0.003547684742996487425 C1(53,877) = 0.8333332645082471711 C2(53,877) = 2.198356545770744912 C3(53,877) = 3.155140171317728509 C4(53,877) = 7016 Sum = 4315.198502872503947 Averaged sum = 0.4311318316387754968 logp*logq = 26.90471091394468848 -------------- ************************************* p = 53; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 492508845392.6343493 -------------- Searches starting with [53,881]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(53,881) = 0.7503354470268882305 D2(53,881) = 0.01271910634526307071 C1(53,881) = 0.9469257760363522373 C2(53,881) = 2.208393052696218229 C3(53,881) = 3.690119266066954731 C4(53,881) = 7048 Sum = 4460.818530453869723 Averaged sum = 0.4456807403790458311 logp*logq = 26.92277825758536253 -------------- ************************************* p = 53; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 496962889356.4479687 -------------- Searches starting with [53,883]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(53,883) = 0.7889355934286682924 D2(53,883) = 0.01735401155299436258 C1(53,883) = 1.081865321403177324 C2(53,883) = 2.213458998840679631 C3(53,883) = 4.444728426347913975 C4(53,883) = 7064 Sum = 3487.624290789069379 Averaged sum = 0.3484488251362842820 logp*logq = 26.93178119095222711 -------------- ************************************* p = 53; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 505961311441.5785498 -------------- Searches starting with [53,887]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(53,887) = 1.137340650348929056 D2(53,887) = 0.02672724482574713854 C1(53,887) = 1.532327885667552733 C2(53,887) = 2.223691333413018977 C3(53,887) = 8.271653283657489092 C4(53,887) = 7096 Sum = 5644.940300944012912 Averaged sum = 0.5639864422963345900 logp*logq = 26.94972604370906894 -------------- ************************************* p = 53; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 552795240650.3522171 -------------- Searches starting with [53,907]-exponents: u = 12, v = 4 n_start has 33 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(53,907) = 0.9354124488344341292 D2(53,907) = 0.04430022489964346547 C1(53,907) = 1.169519040701751110 C2(53,907) = 1.327971105240061641 C3(53,907) = 5.015731091955468143 C4(53,907) = 7256 Sum = 4564.412829126710599 Averaged sum = 0.4560308551430423218 logp*logq = 27.03825349983016112 -------------- ************************************* p = 53; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 562538019827.4915642 -------------- Searches starting with [53,911]-exponents: u = 12, v = 4 n_start has 33 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(53,911) = 0.7649545205537333128 D2(53,911) = 0.05126770217121402752 C1(53,911) = 0.9872451772952144213 C2(53,911) = 2.188881418703135211 C3(53,911) = 3.901077382635111386 C4(53,911) = 7288 Sum = 4300.588929681017379 Averaged sum = 0.4296721879989027255 logp*logq = 27.05572455954526030 -------------- ************************************* p = 53; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 582408375911.2391511 -------------- Searches starting with [53,919]-exponents: u = 12, v = 4 n_start has 33 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(53,919) = 0.7162114924552541957 D2(53,919) = 0.03737909488709661121 C1(53,919) = 0.9626507888813352376 C2(53,919) = 2.176883872259632050 C3(53,919) = 3.771003135384681439 C4(53,919) = 7352 Sum = 3662.940664452507332 Averaged sum = 0.3659646982168555632 logp*logq = 27.09043771544119805 -------------- ************************************* p = 53; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 607979293779.2204927 -------------- Searches starting with [53,929]-exponents: u = 12, v = 4 n_start has 33 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(53,929) = 1.812292761491977965 D2(53,929) = 0.02076784665352489715 C1(53,929) = 2.349224944178938838 C2(53,929) = 2.162613038095526424 C3(53,929) = 25.51341605691471609 C4(53,929) = 7432 Sum = 6851.434197249340676 Averaged sum = 0.6845273451143311695 logp*logq = 27.13340666204847293 -------------- ************************************* p = 53; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 629033343433.1854211 -------------- Searches starting with [53,937]-exponents: u = 12, v = 4 n_start has 33 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(53,937) = 0.7583627496516394780 D2(53,937) = 0.008023155363783022592 C1(53,937) = 0.9963130752001739513 C2(53,937) = 2.151722299778571490 C3(53,937) = 3.950159444762826814 C4(53,937) = 7496 Sum = 4712.302247174870809 Averaged sum = 0.4708064988685054260 logp*logq = 27.16745010246949900 -------------- ************************************* p = 53; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 639762582509.6669370 -------------- Searches starting with [53,941]-exponents: u = 12, v = 4 n_start has 33 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(53,941) = 0.5927209904324440260 D2(53,941) = 0.001818495426883024317 C1(53,941) = 0.7637306903978945973 C2(53,941) = 2.146438586926010293 C3(53,941) = 2.866415046750259894 C4(53,941) = 7528 Sum = 4492.163444708564157 Averaged sum = 0.4488124132988874170 logp*logq = 27.18436297964700974 -------------- ************************************* p = 53; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 656112411911.1519493 -------------- Searches starting with [53,947]-exponents: u = 12, v = 4 n_start has 33 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(53,947) = 0.6907811320142613991 D2(53,947) = 0.1484392498214250305 C1(53,947) = 1.014336056655855916 C2(53,947) = 1.558165743713508050 C3(53,947) = 4.049553972457266291 C4(53,947) = 7576 Sum = 4632.021885929976769 Averaged sum = 0.4627856814796659775 logp*logq = 27.20959797083077592 -------------- ************************************* p = 53; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 672772843954.8142628 -------------- Searches starting with [53,953]-exponents: u = 19, v = 4 n_start has 45 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(53,953) = 0.9000291581256857819 D2(53,953) = 0.1186869995107000802 C1(53,953) = 1.321500233883021365 C2(53,953) = 1.355745532235671321 C3(53,953) = 6.185061089101051561 C4(53,953) = 7624 Sum = 4092.754183624148414 Averaged sum = 0.4089074017008840457 logp*logq = 27.23467358205989596 -------------- ************************************* p = 53; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 712876976254.2492317 -------------- Searches starting with [53,967]-exponents: u = 19, v = 4 n_start has 45 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(53,967) = 0.6588606684113014810 D2(53,967) = 0.1094942188976359951 C1(53,967) = 0.8499716305192589110 C2(53,967) = 2.089186634190914590 C3(53,967) = 3.228360946756125134 C4(53,967) = 7736 Sum = 4645.442696134974068 Averaged sum = 0.4641265557133553869 logp*logq = 27.29257469865037681 -------------- ************************************* p = 53; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 724656767692.7636892 -------------- Searches starting with [53,971]-exponents: u = 19, v = 4 n_start has 45 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(53,971) = 0.6741961163379270105 D2(53,971) = 0.09300327397960742958 C1(53,971) = 0.8673741513962936918 C2(53,971) = 2.073549518038018532 C3(53,971) = 3.306763270003029577 C4(53,971) = 7768 Sum = 4416.486000089878489 Averaged sum = 0.4412514736826734428 logp*logq = 27.30896395582857245 -------------- ************************************* p = 53; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 742598741200.1946824 -------------- Searches starting with [53,977]-exponents: u = 26, v = 4 n_start has 57 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(53,977) = 0.6914545928784626057 D2(53,977) = 0.06969302451228638514 C1(53,977) = 0.9840809709646744810 C2(53,977) = 2.051513359601994775 C3(53,977) = 3.884094318078243253 C4(53,977) = 7816 Sum = 4341.632267593215853 Averaged sum = 0.4337728312112314770 logp*logq = 27.33342168356298064 -------------- ************************************* p = 53; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 760871001923.0419791 -------------- Searches starting with [53,983]-exponents: u = 26, v = 4 n_start has 57 digits starting right neighbors generation We generated 249 left neighbors We generated 9761 right neighbors We generated 10009 non-negative rho_i D1(53,983) = 0.6194223896539528703 D2(53,983) = 0.04785555786332635393 C1(53,983) = 0.8288831598541848750 C2(53,983) = 2.030942088868884515 C3(53,983) = 3.135839567001104778 C4(53,983) = 7864 Sum = 4455.575362960673636 Averaged sum = 0.4451568950904859262 logp*logq = 27.35772966916879648 -------------- ************************************* p = 53; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 785754727817.5641832 -------------- Searches starting with [53,991]-exponents: u = 33, v = 4 n_start has 69 digits starting right neighbors generation We generated 401 left neighbors We generated 9609 right neighbors We generated 10009 non-negative rho_i D1(53,991) = 0.5856649518846108194 D2(53,991) = 0.02066537300802448360 C1(53,991) = 0.8166205630468855696 C2(53,991) = 2.005428050824120857 C3(53,991) = 3.083264037726959491 C4(53,991) = 7928 Sum = 4533.653011033689267 Averaged sum = 0.4529576392280636694 logp*logq = 27.38991052955484311 -------------- ************************************* p = 53; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 804813287985.7532944 -------------- Searches starting with [53,997]-exponents: u = 33, v = 4 n_start has 69 digits starting right neighbors generation We generated 401 left neighbors We generated 9609 right neighbors We generated 10009 non-negative rho_i D1(53,997) = 1.189376559448940821 D2(53,997) = 0.001503418360844892314 C1(53,997) = 1.633946865718702467 C2(53,997) = 1.987514243170164709 C3(53,997) = 9.515772437313714402 C4(53,997) = 7976 Sum = 5539.107650123015754 Averaged sum = 0.5534126935880723103 logp*logq = 27.41387614707227370 -------------- ************************************* p = 59; q = 61; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19043608.82204248553 -------------- Searches starting with [59,61]-exponents: u = 1, v = 122 n_start has 220 digits starting right neighbors generation We generated 2496 left neighbors We generated 7514 right neighbors We generated 10009 non-negative rho_i D1(59,61) = 0.7320577287625869541 D2(59,61) = 0.005316938592482457088 C1(59,61) = 0.9458705393020194910 C2(59,61) = 1.030439774290965153 C3(59,61) = 3.778830792042742859 C4(59,61) = 488 Sum = 5330.965915541287540 Averaged sum = 0.5326172360416912319 logp*logq = 16.76224210834007128 -------------- ************************************* p = 59; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27918262.30831456634 -------------- Searches starting with [59,67]-exponents: u = 1, v = 32 n_start has 61 digits starting right neighbors generation We generated 216 left neighbors We generated 9794 right neighbors We generated 10009 non-negative rho_i D1(59,67) = 0.9700216782161041845 D2(59,67) = 0.02115432265489103408 C1(59,67) = 1.359948977503988324 C2(59,67) = 1.349151706478203782 C3(59,67) = 6.762543607777473648 C4(59,67) = 536 Sum = 3268.999683274926884 Averaged sum = 0.3266060229068764996 logp*logq = 17.14479159568068385 -------------- ************************************* p = 59; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35365128.07695468870 -------------- Searches starting with [59,71]-exponents: u = 1, v = 22 n_start has 43 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(59,71) = 1.194258902745017646 D2(59,71) = 0.06535217523826619076 C1(59,71) = 1.729596503914114571 C2(59,71) = 1.508600926695703157 C3(59,71) = 11.36952114964448237 C4(59,71) = 568 Sum = 2676.229169210631154 Averaged sum = 0.2673822728754751877 logp*logq = 17.38123681001939176 -------------- ************************************* p = 59; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39606706.69388179954 -------------- Searches starting with [59,73]-exponents: u = 1, v = 19 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(59,73) = 0.7783430977682539397 D2(59,73) = 0.01069640032956596934 C1(59,73) = 1.143562445327118922 C2(59,73) = 1.516945460149281387 C3(59,73) = 4.989168610395590008 C4(59,73) = 584 Sum = 4992.898468365527910 Averaged sum = 0.4988408900355208223 logp*logq = 17.49450902284137232 -------------- ************************************* p = 59; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54656965.86189244057 -------------- Searches starting with [59,79]-exponents: u = 1, v = 13 n_start has 27 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(59,79) = 1.138445487929256904 D2(59,79) = 0.06390464536584142107 C1(59,79) = 1.729305079477194428 C2(59,79) = 1.692599902196901640 C3(59,79) = 11.36486520336071802 C4(59,79) = 632 Sum = 4388.178982126812829 Averaged sum = 0.4384233172271768237 logp*logq = 17.81658722762771397 -------------- ************************************* p = 59; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66851749.85036414323 -------------- Searches starting with [59,83]-exponents: u = 1, v = 11 n_start has 23 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(59,83) = 1.008137115361715422 D2(59,83) = 0.01534325062198552596 C1(59,83) = 1.560557339576163245 C2(59,83) = 1.730625436308047433 C3(59,83) = 8.965221277297541588 C4(59,83) = 664 Sum = 4896.960882019842179 Averaged sum = 0.4892557580197664281 logp*logq = 18.01798803694173565 -------------- ************************************* p = 59; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88860907.63736336213 -------------- Searches starting with [59,89]-exponents: u = 1, v = 9 n_start has 20 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(59,89) = 0.8889117454506437074 D2(59,89) = 0.1227524893129343281 C1(59,89) = 1.409935103747214906 C2(59,89) = 1.157682477877768315 C3(59,89) = 7.254734245079584912 C4(59,89) = 712 Sum = 4941.473219726840875 Averaged sum = 0.4937029892823299905 logp*logq = 18.30258286965983734 -------------- ************************************* p = 59; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126222314.3625803101 -------------- Searches starting with [59,97]-exponents: u = 1, v = 8 n_start has 18 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(59,97) = 1.076162451476934950 D2(59,97) = 0.05821913711586259100 C1(59,97) = 1.471223366478070517 C2(59,97) = 1.977804151197377767 C3(59,97) = 7.907364132510753542 C4(59,97) = 776 Sum = 5827.536587755914977 Averaged sum = 0.5822296520887116572 logp*logq = 18.65355530989411627 -------------- ************************************* p = 59; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148831703.0137485138 -------------- Searches starting with [59,101]-exponents: u = 1, v = 7 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(59,101) = 0.7552306033863508914 D2(59,101) = 0.08290440094652981107 C1(59,101) = 0.9842574084173926603 C2(59,101) = 1.715917634972878746 C3(59,101) = 3.988308206143377497 C4(59,101) = 808 Sum = 4982.820034308781682 Averaged sum = 0.4978339528732922052 logp*logq = 18.81832671555775192 -------------- ************************************* p = 59; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161220087.3880157982 -------------- Searches starting with [59,103]-exponents: u = 1, v = 7 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(59,103) = 0.9382029056819126558 D2(59,103) = 0.06068862854489937167 C1(59,103) = 1.191325344558496176 C2(59,103) = 1.449735307619159818 C3(59,103) = 5.335591320994229473 C4(59,103) = 824 Sum = 4762.797627089521109 Averaged sum = 0.4758514963622261074 logp*logq = 18.89828099186161033 -------------- ************************************* p = 59; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 188316485.9824337796 -------------- Searches starting with [59,107]-exponents: u = 1, v = 6 n_start has 14 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(59,107) = 0.6796127665907188406 D2(59,107) = 0.05224432169811745204 C1(59,107) = 1.138962610822121450 C2(59,107) = 1.761917114808436578 C3(59,107) = 4.957017495294101036 C4(59,107) = 856 Sum = 5063.871620971460948 Averaged sum = 0.5059318234560356627 logp*logq = 19.05363454148074314 -------------- ************************************* p = 59; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 203087332.1598245484 -------------- Searches starting with [59,109]-exponents: u = 1, v = 6 n_start has 14 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(59,109) = 1.112876775240805516 D2(59,109) = 0.04188930165447529432 C1(59,109) = 1.447607989086714433 C2(59,109) = 1.755477815296348440 C3(59,109) = 7.649216625480476221 C4(59,109) = 872 Sum = 5226.410213504222773 Averaged sum = 0.5221710673897714830 logp*logq = 19.12914665217713277 -------------- ************************************* p = 59; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 235236239.7439002666 -------------- Searches starting with [59,113]-exponents: u = 1, v = 6 n_start has 15 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(59,113) = 0.7461258602898898784 D2(59,113) = 0.01886612315433693841 C1(59,113) = 0.9854408279525658333 C2(59,113) = 1.469047424596201249 C3(59,113) = 3.994947431883377488 C4(59,113) = 904 Sum = 5115.855864003612710 Averaged sum = 0.5111255733843153872 logp*logq = 19.27610084266335181 -------------- ************************************* p = 59; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 378737620.9598979140 -------------- Searches starting with [59,127]-exponents: u = 19, v = 5 n_start has 45 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(59,127) = 0.7749293494581790500 D2(59,127) = 0.08922170598708577771 C1(59,127) = 1.144832739783102120 C2(59,127) = 1.728332455294404596 C3(59,127) = 4.998084179999417073 C4(59,127) = 1016 Sum = 4773.877302441753929 Averaged sum = 0.4769584676233144099 logp*logq = 19.75235423031945865 -------------- ************************************* p = 59; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 429786714.9192490945 -------------- Searches starting with [59,131]-exponents: u = 49, v = 5 n_start has 98 digits starting right neighbors generation We generated 1180 left neighbors We generated 8830 right neighbors We generated 10009 non-negative rho_i D1(59,131) = 0.9613214927789314241 D2(59,131) = 0.03394857064582589578 C1(59,131) = 1.298488141629275276 C2(59,131) = 1.568685634211239944 C3(59,131) = 6.202896146364368028 C4(59,131) = 1048 Sum = 5657.372937380373320 Averaged sum = 0.5652285880088293855 logp*logq = 19.87879963178162908 -------------- ************************************* p = 59; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 515891199.9308744897 -------------- Searches starting with [59,137]-exponents: u = 6, v = 29 n_start has 73 digits starting right neighbors generation We generated 630 left neighbors We generated 9380 right neighbors We generated 10009 non-negative rho_i D1(59,137) = 0.9212250097857023402 D2(59,137) = 0.05784398916835925692 C1(59,137) = 1.181032179905622543 C2(59,137) = 1.636087537981394522 C3(59,137) = 5.258957132652669134 C4(59,137) = 1096 Sum = 4883.718283134868184 Averaged sum = 0.4879326888934826840 logp*logq = 20.06140644836610754 -------------- ************************************* p = 59; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 547297029.3747509101 -------------- Searches starting with [59,139]-exponents: u = 6, v = 19 n_start has 52 digits starting right neighbors generation We generated 262 left neighbors We generated 9748 right neighbors We generated 10009 non-negative rho_i D1(59,139) = 0.7815314012355664495 D2(59,139) = 0.01890979219764371729 C1(59,139) = 1.131888625661362441 C2(59,139) = 1.514587795474507283 C3(59,139) = 4.907976850404749405 C4(59,139) = 1112 Sum = 4640.599976366156944 Averaged sum = 0.4636427191893452836 logp*logq = 20.12050222831712287 -------------- ************************************* p = 59; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 726521351.2854451202 -------------- Searches starting with [59,149]-exponents: u = 11, v = 4 n_start has 29 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(59,149) = 1.064277775563466857 D2(59,149) = 0.07450961497053488180 C1(59,149) = 1.518142110533593371 C2(59,149) = 1.835869587430084090 C3(59,149) = 8.446384428136318977 C4(59,149) = 1192 Sum = 3989.945401575864523 Averaged sum = 0.3986357679664166772 logp*logq = 20.40377842978631466 -------------- ************************************* p = 59; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 767114323.6063510003 -------------- Searches starting with [59,151]-exponents: u = 11, v = 4 n_start has 29 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(59,151) = 1.023754073921095054 D2(59,151) = 0.03717558412648923641 C1(59,151) = 1.273882085684874787 C2(59,151) = 1.801536617510505037 C3(59,151) = 5.992044412233902046 C4(59,151) = 1208 Sum = 4430.588485416874803 Averaged sum = 0.4426604541329678092 logp*logq = 20.45814640116603175 -------------- ************************************* p = 59; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 899213991.4767454518 -------------- Searches starting with [59,157]-exponents: u = 31, v = 4 n_start has 64 digits starting right neighbors generation We generated 464 left neighbors We generated 9546 right neighbors We generated 10009 non-negative rho_i D1(59,157) = 1.239077777263837168 D2(59,157) = 0.01876490158401354838 C1(59,157) = 1.746218699535494539 C2(59,157) = 1.664794852606732024 C3(59,157) = 11.63826731570595808 C4(59,157) = 1256 Sum = 3585.741442076290786 Averaged sum = 0.3582517176617335184 logp*logq = 20.61703159689895593 -------------- ************************************* p = 59; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1047798542.252886718 -------------- Searches starting with [59,163]-exponents: u = 401, v = 4 n_start has 719 digits --- performed 5000 steps in the continued fraction search [59,163]-exponents: u = 209, v = 145 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,163) = 0.8980610797822490355 D2(59,163) = 0.3431562513167210734 C1(59,163) = 1.108642811200588946 C2(59,163) = 1.320115755789815884 C3(59,163) = 4.750215450806615121 C4(59,163) = 1304 Sum = 5902.187402966155255 Averaged sum = 0.5902777680734228678 logp*logq = 20.76995717369185086 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,163) = 0.8980610797822490355 D2(59,163) = 0.3431562513167210734 C1(59,163) = 1.108642811200588946 C2(59,163) = 1.320115755789815884 C3(59,163) = 4.750215450806615121 C4(59,163) = 1304 Sum = 5902.187402966155255 Averaged sum = 0.5902777680734228678 logp*logq = 20.76995717369185086 -------------- ************************************* p = 59; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1156670443.848840592 -------------- Searches starting with [59,167]-exponents: u = 5, v = 47 n_start has 114 digits starting right neighbors generation We generated 1381 left neighbors We generated 8629 right neighbors We generated 10009 non-negative rho_i D1(59,167) = 0.6430753165801639041 D2(59,167) = 0.03173448067984577646 C1(59,167) = 0.8647445825076984344 C2(59,167) = 1.512967569509503696 C3(59,167) = 3.371617716540309436 C4(59,167) = 1336 Sum = 4748.581814971413974 Averaged sum = 0.4744311934230606427 logp*logq = 20.86881140780710382 -------------- ************************************* p = 59; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1335724176.364711327 -------------- Searches starting with [59,173]-exponents: u = 5, v = 15 n_start has 43 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(59,173) = 0.6690761068952879023 D2(59,173) = 0.03360516554435802957 C1(59,173) = 0.8775491415821889213 C2(59,173) = 1.748662068480189492 C3(59,173) = 3.432845073895503599 C4(59,173) = 1384 Sum = 4678.622565935301412 Averaged sum = 0.4674415591902589082 logp*logq = 21.01273943592930287 -------------- ************************************* p = 59; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1534944190.433344437 -------------- Searches starting with [59,179]-exponents: u = 5, v = 11 n_start has 34 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(59,179) = 0.9163720231722512440 D2(59,179) = 0.1227010052962326826 C1(59,179) = 1.404486594776306623 C2(59,179) = 1.196804944026953507 C3(59,179) = 7.199390808832095168 C4(59,179) = 1432 Sum = 4796.153634397635542 Averaged sum = 0.4791840977517869460 logp*logq = 21.15175985930072282 -------------- ************************************* p = 59; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1606086476.672448585 -------------- Searches starting with [59,181]-exponents: u = 5, v = 7 n_start has 25 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(59,181) = 0.7914897203837153659 D2(59,181) = 0.1557891771013386106 C1(59,181) = 1.074425262747045979 C2(59,181) = 1.797485246227502807 C3(59,181) = 4.527171909924385973 C4(59,181) = 1448 Sum = 4179.427794733564137 Averaged sum = 0.4175669692010754458 logp*logq = 21.19706629701912604 -------------- ************************************* p = 59; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1999857107.074498978 -------------- Searches starting with [59,191]-exponents: u = 9, v = 3 n_start has 23 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(59,191) = 0.8260739086943330632 D2(59,191) = 0.03959210845034861801 C1(59,191) = 1.094169111122320255 C2(59,191) = 1.987392726487474905 C3(59,191) = 4.654559549642443793 C4(59,191) = 1528 Sum = 4340.517264625651940 Averaged sum = 0.4336614311745081367 logp*logq = 21.41634156849118586 -------------- ************************************* p = 59; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2086630291.260177347 -------------- Searches starting with [59,193]-exponents: u = 9, v = 3 n_start has 23 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(59,193) = 0.6822972924844122832 D2(59,193) = 0.01622486258089285030 C1(59,193) = 0.8859208119684311047 C2(59,193) = 1.966542628336611291 C3(59,193) = 3.473475615907010624 C4(59,193) = 1544 Sum = 4807.839037286154439 Averaged sum = 0.4803515873000454030 logp*logq = 21.45881630093493487 -------------- ************************************* p = 59; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2268673253.419686653 -------------- Searches starting with [59,197]-exponents: u = 9, v = 3 n_start has 23 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(59,197) = 0.6504433168439487435 D2(59,197) = 0.1223199421247313882 C1(59,197) = 0.8331378599053200034 C2(59,197) = 1.801702369973344961 C3(59,197) = 3.225118290683026171 C4(59,197) = 1576 Sum = 4884.389560148975917 Averaged sum = 0.4879997562342867336 logp*logq = 21.54246102771146365 -------------- ************************************* p = 59; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2364065456.119852226 -------------- Searches starting with [59,199]-exponents: u = 9, v = 3 n_start has 23 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(59,199) = 0.6888496693938265908 D2(59,199) = 0.1415202140427990283 C1(59,199) = 0.9137970138017073894 C2(59,199) = 1.822772034699452978 C3(59,199) = 3.612266895947363380 C4(59,199) = 1592 Sum = 4931.598257364430690 Averaged sum = 0.4927163809935488749 logp*logq = 21.58364862482091904 -------------- ************************************* p = 59; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3001571835.950808546 -------------- Searches starting with [59,211]-exponents: u = 21, v = 3 n_start has 45 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(59,211) = 1.469600517605537562 D2(59,211) = 0.09377432381754385028 C1(59,211) = 2.148036506526294067 C2(59,211) = 1.810009664304900730 C3(59,211) = 20.47185029232020159 C4(59,211) = 1688 Sum = 3093.070201754734324 Averaged sum = 0.3090288941707197845 logp*logq = 21.82240193372003489 -------------- ************************************* p = 59; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3760979868.639604736 -------------- Searches starting with [59,223]-exponents: u = 61, v = 3 n_start has 116 digits starting right neighbors generation We generated 1163 left neighbors We generated 8847 right neighbors We generated 10009 non-negative rho_i D1(59,223) = 1.640534219268819700 D2(59,223) = 0.02981395758658917483 C1(59,223) = 2.201427068073341174 C2(59,223) = 1.509353650773079990 C3(59,223) = 22.06716725488732763 C4(59,223) = 1784 Sum = 4386.547205442576933 Averaged sum = 0.4382602862865997535 logp*logq = 22.04794536375865367 -------------- ************************************* p = 59; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4043743980.413214665 -------------- Searches starting with [59,227]-exponents: u = 153, v = 3 n_start has 279 digits --- performed 5000 steps in the continued fraction search [59,227]-exponents: u = 42, v = 47 --- starting right neighbors generation We generated 7000 left neighbors We generated 3010 right neighbors We generated 10009 non-negative rho_i D1(59,227) = 0.7938464869821214267 D2(59,227) = 0.005692743603357991608 C1(59,227) = 1.015645441131990207 C2(59,227) = 1.295053958314904470 C3(59,227) = 4.168193798996904747 C4(59,227) = 1816 Sum = 5233.625900843695387 Averaged sum = 0.5228919872958033157 logp*logq = 22.12043682759740671 -------------- ************************************* p = 59; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4190998840.675151134 -------------- Searches starting with [59,229]-exponents: u = 601, v = 3 n_start has 1072 digits --- performed 5000 steps in the continued fraction search [59,229]-exponents: u = 270, v = 243 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,229) = 0.6085757201567847422 D2(59,229) = 0.3526011649662565110 C1(59,229) = 0.7422533585387099708 C2(59,229) = 1.319159907318560128 C3(59,229) = 2.838376054126631207 C4(59,229) = 1832 Sum = 6031.567633922618996 Averaged sum = 0.6032170851007719767 logp*logq = 22.15620492926681896 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,229) = 0.6085757201567847422 D2(59,229) = 0.3526011649662565110 C1(59,229) = 0.7422533585387099708 C2(59,229) = 1.319159907318560128 C3(59,229) = 2.838376054126631207 C4(59,229) = 1832 Sum = 6031.567633922618996 Averaged sum = 0.6032170851007719767 logp*logq = 22.15620492926681896 -------------- ************************************* p = 59; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4497616391.387036037 -------------- Searches starting with [59,233]-exponents: u = 4, v = 92 n_start has 225 digits starting right neighbors generation We generated 4526 left neighbors We generated 5484 right neighbors We generated 10009 non-negative rho_i D1(59,233) = 1.051608862178793971 D2(59,233) = 0.002528541045062714870 C1(59,233) = 1.356722830526048798 C2(59,233) = 1.339520133200062809 C3(59,233) = 6.731949432968032683 C4(59,233) = 1864 Sum = 5458.216824157074816 Averaged sum = 0.5453308846195498867 logp*logq = 22.22681340258407247 -------------- ************************************* p = 59; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4988919514.909945529 -------------- Searches starting with [59,239]-exponents: u = 4, v = 32 n_start has 84 digits starting right neighbors generation We generated 616 left neighbors We generated 9394 right neighbors We generated 10009 non-negative rho_i D1(59,239) = 0.6520814702946926987 D2(59,239) = 0.004084706374067042128 C1(59,239) = 0.8901232786295121016 C2(59,239) = 1.592778847933265062 C3(59,239) = 3.494052542664500189 C4(59,239) = 1912 Sum = 4795.505319029017110 Averaged sum = 0.4791193245108419533 logp*logq = 22.33048519318564928 -------------- ************************************* p = 59; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5161354430.500442455 -------------- Searches starting with [59,241]-exponents: u = 4, v = 26 n_start has 70 digits starting right neighbors generation We generated 423 left neighbors We generated 9587 right neighbors We generated 10009 non-negative rho_i D1(59,241) = 0.8732591929605003556 D2(59,241) = 0.003091444252828174835 C1(59,241) = 1.117564629785750555 C2(59,241) = 1.645682900598416834 C3(59,241) = 4.810156070974184173 C4(59,241) = 1928 Sum = 4762.445788507262136 Averaged sum = 0.4758163441409993142 logp*logq = 22.36446486852741370 -------------- ************************************* p = 59; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6091993797.551739475 -------------- Searches starting with [59,251]-exponents: u = 4, v = 14 n_start has 41 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(59,251) = 0.6632509565767543380 D2(59,251) = 0.02130369093058578909 C1(59,251) = 0.9126562893419358870 C2(59,251) = 1.826861163465667626 C3(59,251) = 3.606480059018321230 C4(59,251) = 2008 Sum = 4588.352641197202041 Averaged sum = 0.4584226837043862564 logp*logq = 22.53024125384875891 -------------- ************************************* p = 59; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6707992180.721309223 -------------- Searches starting with [59,257]-exponents: u = 4, v = 11 n_start has 34 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(59,257) = 0.6432199744277357106 D2(59,257) = 0.1273666824470447570 C1(59,257) = 0.8755223823241586322 C2(59,257) = 1.937031450515847616 C3(59,257) = 3.423080198359901175 C4(59,257) = 2056 Sum = 4704.987534623826793 Averaged sum = 0.4700756853455716648 logp*logq = 22.62656551524201160 -------------- ************************************* p = 59; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7369875936.435068236 -------------- Searches starting with [59,263]-exponents: u = 4, v = 8 n_start has 27 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(59,263) = 0.8267904969340072790 D2(59,263) = 0.005699594256534339653 C1(59,263) = 1.139717084609515200 C2(59,263) = 1.949467759123890809 C3(59,263) = 4.962276743325703047 C4(59,263) = 2104 Sum = 3983.077222956953756 Averaged sum = 0.3979495676847790744 logp*logq = 22.72066670941507008 -------------- ************************************* p = 59; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8079898424.473943750 -------------- Searches starting with [59,269]-exponents: u = 4, v = 8 n_start has 27 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(59,269) = 1.122618455449858917 D2(59,269) = 0.06738028009426394039 C1(59,269) = 1.509576534940507429 C2(59,269) = 2.015356121757254885 C3(59,269) = 8.345309236230309864 C4(59,269) = 2152 Sum = 5959.051030027594962 Averaged sum = 0.5953692706591662466 logp*logq = 22.81264513817192430 -------------- ************************************* p = 59; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8327667628.548035641 -------------- Searches starting with [59,271]-exponents: u = 4, v = 8 n_start has 27 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(59,271) = 0.8697440535541494085 D2(59,271) = 0.06856167464404978835 C1(59,271) = 1.379703112097476858 C2(59,271) = 1.258967351685695065 C3(59,271) = 6.952931680914604790 C4(59,271) = 2168 Sum = 4914.324247976866975 Averaged sum = 0.4909905333177007668 logp*logq = 22.84284925734593860 -------------- ************************************* p = 59; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9105477265.051675772 -------------- Searches starting with [59,277]-exponents: u = 11, v = 5 n_start has 32 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(59,277) = 1.039939564774461674 D2(59,277) = 0.06807919054318526928 C1(59,277) = 1.436168329557587628 C2(59,277) = 1.925482789463558436 C3(59,277) = 7.527213171613368949 C4(59,277) = 2216 Sum = 4038.789678682391430 Averaged sum = 0.4035158036449586802 logp*logq = 22.93214196666013895 -------------- ************************************* p = 59; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9653653543.892388461 -------------- Searches starting with [59,281]-exponents: u = 11, v = 5 n_start has 32 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(59,281) = 0.6174762144914445251 D2(59,281) = 0.04459879897469404033 C1(59,281) = 0.8014030666727004653 C2(59,281) = 1.905052869146813073 C3(59,281) = 3.084429124786541385 C4(59,281) = 2248 Sum = 4799.674086233161383 Averaged sum = 0.4795358263795745212 logp*logq = 22.99060228622899971 -------------- ************************************* p = 59; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9936901738.720121789 -------------- Searches starting with [59,283]-exponents: u = 11, v = 5 n_start has 32 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(59,283) = 1.239209598851724814 D2(59,283) = 0.03343613769040223404 C1(59,283) = 1.841810508727292528 C2(59,283) = 1.895398841628363608 C3(59,283) = 13.31181806058522090 C4(59,283) = 2264 Sum = 3956.974449584817830 Averaged sum = 0.3953416374847455120 logp*logq = 23.01952111272168093 -------------- ************************************* p = 59; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11448407806.93684398 -------------- Searches starting with [59,293]-exponents: u = 39, v = 5 n_start has 82 digits starting right neighbors generation We generated 696 left neighbors We generated 9314 right neighbors We generated 10009 non-negative rho_i D1(59,293) = 0.7612576377622772767 D2(59,293) = 0.04900456864710010888 C1(59,293) = 1.053307442296396795 C2(59,293) = 1.764894201743592629 C3(59,293) = 4.394775672175991831 C4(59,293) = 2344 Sum = 3967.417095393329188 Averaged sum = 0.3963849630725676080 logp*logq = 23.16111650111473418 -------------- ************************************* p = 59; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13848408127.53447399 -------------- Searches starting with [59,307]-exponents: u = 7, v = 42 n_start has 117 digits starting right neighbors generation We generated 1519 left neighbors We generated 8491 right neighbors We generated 10009 non-negative rho_i D1(59,307) = 0.9467319041883137857 D2(59,307) = 0.002560103990887376577 C1(59,307) = 1.222320202515152921 C2(59,307) = 1.748469598375492203 C3(59,307) = 5.573163131681855043 C4(59,307) = 2456 Sum = 4979.717702431220069 Averaged sum = 0.4975239986443420990 logp*logq = 23.35143612633392670 -------------- ************************************* p = 59; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14599024081.23424908 -------------- Searches starting with [59,311]-exponents: u = 7, v = 22 n_start has 68 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(59,311) = 0.7063212096780703066 D2(59,311) = 0.04536809599067136162 C1(59,311) = 0.9792301225777253629 C2(59,311) = 1.793536775247591307 C3(59,311) = 3.960226878768743279 C4(59,311) = 2488 Sum = 4506.916845218001489 Averaged sum = 0.4502864267377361863 logp*logq = 23.40422051967547999 -------------- ************************************* p = 59; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14985646347.00320264 -------------- Searches starting with [59,313]-exponents: u = 7, v = 17 n_start has 55 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(59,313) = 0.8990969375200902850 D2(59,313) = 0.06832414844534088569 C1(59,313) = 1.267087436964316634 C2(59,313) = 1.817611321298605506 C3(59,313) = 5.935093757196519451 C4(59,313) = 2504 Sum = 4394.817663470415041 Averaged sum = 0.4390865884174657849 logp*logq = 23.43035866971798613 -------------- ************************************* p = 59; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15782027329.94073385 -------------- Searches starting with [59,317]-exponents: u = 7, v = 12 n_start has 43 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(59,317) = 0.7412226395784390440 D2(59,317) = 0.1183060908291221701 C1(59,317) = 0.9529687611898682590 C2(59,317) = 1.869808528024549678 C3(59,317) = 3.816718989885550906 C4(59,317) = 2536 Sum = 4646.887535419152410 Averaged sum = 0.4642709097231643930 logp*logq = 23.48213761875968034 -------------- ************************************* p = 59; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18823180067.04275968 -------------- Searches starting with [59,331]-exponents: u = 7, v = 7 n_start has 31 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(59,331) = 0.8523419498712895793 D2(59,331) = 0.03283271115005930538 C1(59,331) = 1.184111112632245319 C2(59,331) = 1.963528954044250491 C3(59,331) = 5.281764156532156626 C4(59,331) = 2648 Sum = 4444.210743424583984 Averaged sum = 0.4440214550329287626 logp*logq = 23.65835492957339469 -------------- ************************************* p = 59; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20253755602.36613132 -------------- Searches starting with [59,337]-exponents: u = 7, v = 7 n_start has 31 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(59,337) = 1.066740760814046455 D2(59,337) = 0.04450038624774522609 C1(59,337) = 1.359686977932630707 C2(59,337) = 1.247268758511456326 C3(59,337) = 6.760053836453931868 C4(59,337) = 2696 Sum = 4790.239463876805221 Averaged sum = 0.4785932124964337317 logp*logq = 23.73160607514827843 -------------- ************************************* p = 59; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22818576770.53512262 -------------- Searches starting with [59,347]-exponents: u = 10, v = 2 n_start has 23 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(59,347) = 1.473182286916282512 D2(59,347) = 0.06824158569745306049 C1(59,347) = 1.850689014783195101 C2(59,347) = 1.620386599161539263 C3(59,347) = 13.47897274731291804 C4(59,347) = 2776 Sum = 4363.362336325849818 Averaged sum = 0.4359438841368618062 logp*logq = 23.85084081179890113 -------------- ************************************* p = 59; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23359626351.26181148 -------------- Searches starting with [59,349]-exponents: u = 10, v = 2 n_start has 23 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(59,349) = 0.9506830814422793016 D2(59,349) = 0.07806164580431770987 C1(59,349) = 1.282623926765981020 C2(59,349) = 1.722691575219731370 C3(59,349) = 6.066120395367671070 C4(59,349) = 2792 Sum = 4682.913810557365046 Averaged sum = 0.4678702977877275498 logp*logq = 23.87427499954143231 -------------- ************************************* p = 59; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24470720681.99901413 -------------- Searches starting with [59,353]-exponents: u = 10, v = 2 n_start has 23 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(59,353) = 0.6229865740650079828 D2(59,353) = 0.09795217098452825907 C1(59,353) = 0.7999216561001849280 C2(59,353) = 1.893071103018998626 C3(59,353) = 3.078013677376807306 C4(59,353) = 2824 Sum = 4747.188508221547020 Averaged sum = 0.4742919880329250694 logp*logq = 23.92074316562234755 -------------- ************************************* p = 59; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26211585211.64852275 -------------- Searches starting with [59,359]-exponents: u = 10, v = 2 n_start has 23 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(59,359) = 1.105547407281962831 D2(59,359) = 0.1120790939963096148 C1(59,359) = 1.442231877413160768 C2(59,359) = 1.413205051217371729 C3(59,359) = 7.591636281934825331 C4(59,359) = 2872 Sum = 4735.512450498557709 Averaged sum = 0.4731254321609109511 logp*logq = 23.98946733362978879 -------------- ************************************* p = 59; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28676220298.99003352 -------------- Searches starting with [59,367]-exponents: u = 13, v = 2 n_start has 29 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(59,367) = 1.328198778764727545 D2(59,367) = 0.07036337220924772831 C1(59,367) = 1.827648366490040919 C2(59,367) = 2.064398961642740107 C3(59,367) = 13.04946871576232665 C4(59,367) = 2936 Sum = 4661.143566284005825 Averaged sum = 0.4656952309205720676 logp*logq = 24.07933405525478808 -------------- ************************************* p = 59; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30636493492.58264278 -------------- Searches starting with [59,373]-exponents: u = 13, v = 2 n_start has 29 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(59,373) = 0.6778839991038452806 D2(59,373) = 0.008803813488224885034 C1(59,373) = 0.9096554663493102147 C2(59,373) = 2.006741618039857951 C3(59,373) = 3.591301269160333231 C4(59,373) = 2984 Sum = 4590.970462993134856 Averaged sum = 0.4586842304918708018 logp*logq = 24.14545773312171335 -------------- ************************************* p = 59; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32696249064.72554063 -------------- Searches starting with [59,379]-exponents: u = 16, v = 2 n_start has 34 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(59,379) = 0.9495647889969595586 D2(59,379) = 0.1457378078500916763 C1(59,379) = 1.251591272623105100 C2(59,379) = 1.529386007161945121 C3(59,379) = 5.807226388446827604 C4(59,379) = 3032 Sum = 5442.645470981618163 Averaged sum = 0.5437751494636445361 logp*logq = 24.21052620076946236 -------------- ************************************* p = 59; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34126340988.48913236 -------------- Searches starting with [59,383]-exponents: u = 16, v = 2 n_start has 34 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(59,383) = 0.7580597961865337834 D2(59,383) = 0.08844834628788773200 C1(59,383) = 0.9682527442938584004 C2(59,383) = 1.996867204967547071 C3(59,383) = 3.899594936434718438 C4(59,383) = 3064 Sum = 4643.426017993022874 Averaged sum = 0.4639250692369889973 logp*logq = 24.25333538604543490 -------------- ************************************* p = 59; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36359380687.25667826 -------------- Searches starting with [59,389]-exponents: u = 19, v = 2 n_start has 39 digits starting right neighbors generation We generated 108 left neighbors We generated 9902 right neighbors We generated 10009 non-negative rho_i D1(59,389) = 0.6856196845110701959 D2(59,389) = 0.01395457430192122344 C1(59,389) = 0.8879713507824318019 C2(59,389) = 1.925963611159313500 C3(59,389) = 3.483500675942327439 C4(59,389) = 3112 Sum = 4774.570880244015063 Averaged sum = 0.4770277630376676054 logp*logq = 24.31671807330690767 -------------- ************************************* p = 59; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39506231126.40956983 -------------- Searches starting with [59,397]-exponents: u = 22, v = 2 n_start has 45 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(59,397) = 1.075805679947520654 D2(59,397) = 0.05363791231317109816 C1(59,397) = 1.395652002508283624 C2(59,397) = 1.897015273372889731 C3(59,397) = 7.110548977502504828 C4(59,397) = 3176 Sum = 5395.726566133306110 Averaged sum = 0.5390874778832356989 logp*logq = 24.39972424644794416 -------------- ************************************* p = 59; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41154625235.96663175 -------------- Searches starting with [59,401]-exponents: u = 22, v = 2 n_start has 45 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(59,401) = 0.9827243727868949237 D2(59,401) = 0.00007799857615504315913 C1(59,401) = 1.259496635878097678 C2(59,401) = 1.845693935522060525 C3(59,401) = 5.872109891751407318 C4(59,401) = 3208 Sum = 4887.438238977053427 Averaged sum = 0.4883043499827208939 logp*logq = 24.44060215716910595 -------------- ************************************* p = 59; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44606647223.28857404 -------------- Searches starting with [59,409]-exponents: u = 28, v = 2 n_start has 55 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(59,409) = 0.6663420360985223481 D2(59,409) = 0.09325436212493826196 C1(59,409) = 0.8422836987954336150 C2(59,409) = 1.836272895232372606 C3(59,409) = 3.266842896878566456 C4(59,409) = 3272 Sum = 4302.314181095958711 Averaged sum = 0.4298445580073892208 logp*logq = 24.52114872574785061 -------------- ************************************* p = 59; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49223882407.32156943 -------------- Searches starting with [59,419]-exponents: u = 37, v = 2 n_start has 71 digits starting right neighbors generation We generated 273 left neighbors We generated 9737 right neighbors We generated 10009 non-negative rho_i D1(59,419) = 1.185560692803903095 D2(59,419) = 0.06463942884660249494 C1(59,419) = 1.569164172713423791 C2(59,419) = 1.736633235737993245 C3(59,419) = 9.074330786390999705 C4(59,419) = 3352 Sum = 5655.590027286006941 Averaged sum = 0.5650504573170153802 logp*logq = 24.61964475745198837 -------------- ************************************* p = 59; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50188996134.79350790 -------------- Searches starting with [59,421]-exponents: u = 40, v = 2 n_start has 77 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(59,421) = 1.054521324684591640 D2(59,421) = 0.02295554674561888829 C1(59,421) = 1.362515051082582669 C2(59,421) = 1.695917423467673372 C3(59,421) = 6.786977426233431996 C4(59,421) = 3368 Sum = 5131.889044316821202 Averaged sum = 0.5127274497269278851 logp*logq = 24.63906163911403189 -------------- ************************************* p = 59; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55230594019.40392890 -------------- Searches starting with [59,431]-exponents: u = 58, v = 2 n_start has 108 digits starting right neighbors generation We generated 713 left neighbors We generated 9297 right neighbors We generated 10009 non-negative rho_i D1(59,431) = 0.7133867816127796273 D2(59,431) = 0.003775328666979283625 C1(59,431) = 0.9572958163300375161 C2(59,431) = 1.576891406510230727 C3(59,431) = 3.840001653201335591 C4(59,431) = 3448 Sum = 4863.086989064585702 Averaged sum = 0.4858714146332886105 logp*logq = 24.73478287617744144 -------------- ************************************* p = 59; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56283113994.87585743 -------------- Searches starting with [59,433]-exponents: u = 64, v = 2 n_start has 119 digits starting right neighbors generation We generated 795 left neighbors We generated 9215 right neighbors We generated 10009 non-negative rho_i D1(59,433) = 0.7901428773483377489 D2(59,433) = 0.02615549614171397899 C1(59,433) = 1.054264893173780311 C2(59,433) = 1.561827350544065956 C3(59,433) = 4.400693662076752606 C4(59,433) = 3464 Sum = 5153.921986384249430 Averaged sum = 0.5149287627519481896 logp*logq = 24.75366039806128719 -------------- ************************************* p = 59; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59531664489.49143291 -------------- Searches starting with [59,439]-exponents: u = 94, v = 2 n_start has 172 digits starting right neighbors generation We generated 1781 left neighbors We generated 8229 right neighbors We generated 10009 non-negative rho_i D1(59,439) = 0.5915467281091977685 D2(59,439) = 0.007945822850052929616 C1(59,439) = 0.7732911279525282632 C2(59,439) = 1.461249481085316597 C3(59,439) = 2.964936013913255540 C4(59,439) = 3512 Sum = 4932.764242283912788 Averaged sum = 0.4928328746412141860 logp*logq = 24.80977418423638442 -------------- ************************************* p = 59; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61774648846.56536535 -------------- Searches starting with [59,443]-exponents: u = 133, v = 2 n_start has 241 digits starting right neighbors generation We generated 3418 left neighbors We generated 6592 right neighbors We generated 10009 non-negative rho_i D1(59,443) = 0.6634373361589632629 D2(59,443) = 0.01417132106205686371 C1(59,443) = 0.8541101625172583972 C2(59,443) = 1.386855995234953157 C3(59,443) = 3.321598219040403680 C4(59,443) = 3544 Sum = 4794.381021663322805 Averaged sum = 0.4790069958700492361 logp*logq = 24.84675890441100503 -------------- ************************************* p = 59; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65258000950.18923110 -------------- Searches starting with [59,449]-exponents: u = 328, v = 2 n_start has 587 digits --- performed 5000 steps in the continued fraction search [59,449]-exponents: u = 180, v = 85 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,449) = 0.7166806880512626107 D2(59,449) = 0.1473878293053772940 C1(59,449) = 0.8905608011205806544 C2(59,449) = 1.308144351979048060 C3(59,449) = 3.496201818290121084 C4(59,449) = 3592 Sum = 5550.605666401991244 Averaged sum = 0.5551160782480239268 logp*logq = 24.90161449555827703 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,449) = 0.7166806880512626107 D2(59,449) = 0.1473878293053772940 C1(59,449) = 0.8905608011205806544 C2(59,449) = 1.308144351979048060 C3(59,449) = 3.496201818290121084 C4(59,449) = 3592 Sum = 5550.605666401991244 Averaged sum = 0.5551160782480239268 logp*logq = 24.90161449555827703 -------------- ************************************* p = 59; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70130656345.76774952 -------------- Searches starting with [59,457]-exponents: u = 3, v = 243 n_start has 652 digits --- performed 5000 steps in the continued fraction search [59,457]-exponents: u = 105, v = 161 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,457) = 0.7903510711346910518 D2(59,457) = 0.1828957723843420252 C1(59,457) = 0.9786312076395161046 C2(59,457) = 1.323347394139551236 C3(59,457) = 3.956894677711917853 C4(59,457) = 3656 Sum = 5605.528674392225539 Averaged sum = 0.5606089283320557595 logp*logq = 24.97362585843856979 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,457) = 0.7903510711346910518 D2(59,457) = 0.1828957723843420252 C1(59,457) = 0.9786312076395161046 C2(59,457) = 1.323347394139551236 C3(59,457) = 3.956894677711917853 C4(59,457) = 3656 Sum = 5605.528674392225539 Averaged sum = 0.5606089283320557595 logp*logq = 24.97362585843856979 -------------- ************************************* p = 59; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72667507252.60586407 -------------- Searches starting with [59,461]-exponents: u = 3, v = 119 n_start has 323 digits --- performed 5000 steps in the continued fraction search [59,461]-exponents: u = 114, v = 13 --- starting right neighbors generation We generated 6322 left neighbors We generated 3688 right neighbors We generated 10009 non-negative rho_i D1(59,461) = 0.8083554975312336766 D2(59,461) = 0.001496251915297193042 C1(59,461) = 1.027375188683568928 C2(59,461) = 1.323533750458340311 C3(59,461) = 4.237480543212394519 C4(59,461) = 3688 Sum = 5132.561393980579656 Averaged sum = 0.5127946242362453448 logp*logq = 25.00916017869689616 -------------- ************************************* p = 59; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73961600515.00352231 -------------- Searches starting with [59,463]-exponents: u = 3, v = 95 n_start has 259 digits starting right neighbors generation We generated 4098 left neighbors We generated 5912 right neighbors We generated 10009 non-negative rho_i D1(59,463) = 0.8754241253257827952 D2(59,463) = 0.001302003438003144275 C1(59,463) = 1.123347320534190927 C2(59,463) = 1.372227160054407850 C3(59,463) = 4.849410074980180202 C4(59,463) = 3704 Sum = 4895.703555637875110 Averaged sum = 0.4891301384391922379 logp*logq = 25.02681188350976436 -------------- ************************************* p = 59; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76601897943.64421398 -------------- Searches starting with [59,467]-exponents: u = 3, v = 67 n_start has 185 digits starting right neighbors generation We generated 2064 left neighbors We generated 7946 right neighbors We generated 10009 non-negative rho_i D1(59,467) = 0.7701033297420300688 D2(59,467) = 0.001915180720511716798 C1(59,467) = 0.9734422352034995030 C2(59,467) = 1.451918550078833421 C3(59,467) = 3.928141760863159853 C4(59,467) = 3736 Sum = 4444.864765406976349 Averaged sum = 0.4440867984221177289 logp*logq = 25.06188769071817364 -------------- ************************************* p = 59; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84950984869.62230093 -------------- Searches starting with [59,479]-exponents: u = 3, v = 35 n_start has 100 digits starting right neighbors generation We generated 562 left neighbors We generated 9448 right neighbors We generated 10009 non-negative rho_i D1(59,479) = 0.8323671327907090751 D2(59,479) = 0.01561756815206423225 C1(59,479) = 1.122996739093415950 C2(59,479) = 1.624766529577209629 C3(59,479) = 4.847021166017267691 C4(59,479) = 3832 Sum = 5113.117873674859464 Averaged sum = 0.5108520205489918537 logp*logq = 25.16534027851830500 -------------- ************************************* p = 59; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90886623823.73516571 -------------- Searches starting with [59,487]-exponents: u = 3, v = 27 n_start has 78 digits starting right neighbors generation We generated 364 left neighbors We generated 9646 right neighbors We generated 10009 non-negative rho_i D1(59,487) = 1.440681280830309003 D2(59,487) = 0.008937625952940871378 C1(59,487) = 1.857336828534188054 C2(59,487) = 1.702376730483754514 C3(59,487) = 13.60550314851837967 C4(59,487) = 3896 Sum = 5296.120611324846254 Averaged sum = 0.5291358388774948800 logp*logq = 25.23287867464765163 -------------- ************************************* p = 59; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93969204153.63182508 -------------- Searches starting with [59,491]-exponents: u = 3, v = 25 n_start has 73 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(59,491) = 0.6594688304776188383 D2(59,491) = 0.007049671683675057541 C1(59,491) = 0.9142908564742940305 C2(59,491) = 1.736628441496503706 C3(59,491) = 3.614775013774512281 C4(59,491) = 3928 Sum = 4433.252622169915149 Averaged sum = 0.4429266282515651063 logp*logq = 25.26623295015187464 -------------- ************************************* p = 59; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100370480260.7207624 -------------- Searches starting with [59,499]-exponents: u = 3, v = 21 n_start has 62 digits starting right neighbors generation We generated 231 left neighbors We generated 9779 right neighbors We generated 10009 non-negative rho_i D1(59,499) = 0.8412789920880114115 D2(59,499) = 0.04459477975243941082 C1(59,499) = 1.182463386257370681 C2(59,499) = 1.817150203306285341 C3(59,499) = 5.269546439238311946 C4(59,499) = 3992 Sum = 3353.491659015763794 Averaged sum = 0.3350476230408396237 logp*logq = 25.33213397966373876 -------------- ************************************* p = 59; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103691848421.0569862 -------------- Searches starting with [59,503]-exponents: u = 3, v = 19 n_start has 57 digits starting right neighbors generation We generated 208 left neighbors We generated 9802 right neighbors We generated 10009 non-negative rho_i D1(59,503) = 0.6235592206855367287 D2(59,503) = 0.004442831958402674815 C1(59,503) = 0.8069435122394032005 C2(59,503) = 1.826049329036234806 C3(59,503) = 3.108541516151553386 C4(59,503) = 4024 Sum = 4664.210160901619111 Averaged sum = 0.4660016146369886213 logp*logq = 25.36468934177353517 -------------- ************************************* p = 59; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108828616347.0389961 -------------- Searches starting with [59,509]-exponents: u = 3, v = 17 n_start has 52 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(59,509) = 0.6038703540188476647 D2(59,509) = 0.07915824907950092515 C1(59,509) = 0.7855046911901415359 C2(59,509) = 1.902670231050198742 C3(59,509) = 3.016271700008461622 C4(59,509) = 4072 Sum = 4674.275453768962329 Averaged sum = 0.4670072388619205045 logp*logq = 25.41304015468068958 -------------- ************************************* p = 59; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119676132458.6643628 -------------- Searches starting with [59,521]-exponents: u = 3, v = 13 n_start has 41 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(59,521) = 0.6908074881318890378 D2(59,521) = 0.09507568423812325051 C1(59,521) = 0.8965788122140160451 C2(59,521) = 1.980210242356256606 C3(59,521) = 3.525899067566499771 C4(59,521) = 4168 Sum = 4502.753999644247291 Averaged sum = 0.4498705164995751115 logp*logq = 25.50805503496412147 -------------- ************************************* p = 59; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121560485986.6561915 -------------- Searches starting with [59,523]-exponents: u = 3, v = 13 n_start has 41 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(59,523) = 0.6295934259983595975 D2(59,523) = 0.1199235480603454826 C1(59,523) = 0.8182169014342052507 C2(59,523) = 2.005689090529169531 C3(59,523) = 3.158187612182962587 C4(59,523) = 4184 Sum = 4708.204406771695063 Averaged sum = 0.4703970833021975285 logp*logq = 25.52367780290290680 -------------- ************************************* p = 59; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139544971094.5980666 -------------- Searches starting with [59,541]-exponents: u = 3, v = 11 n_start has 36 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(59,541) = 0.8539907211928274448 D2(59,541) = 0.1359395888063713374 C1(59,541) = 1.135570824633344547 C2(59,541) = 2.099585402728504368 C3(59,541) = 4.933442971901608555 C4(59,541) = 4328 Sum = 5073.079366668751809 Averaged sum = 0.5068517700738087530 logp*logq = 25.66165275969465850 -------------- ************************************* p = 59; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145964029507.2992659 -------------- Searches starting with [59,547]-exponents: u = 3, v = 9 n_start has 30 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(59,547) = 0.8174172369554226083 D2(59,547) = 0.1305790554534334231 C1(59,547) = 1.222919491843976041 C2(59,547) = 1.367463517504397766 C3(59,547) = 5.577859368358779828 C4(59,547) = 4376 Sum = 4545.992741450190228 Averaged sum = 0.4541905026925956867 logp*logq = 25.70662605506219936 -------------- ************************************* p = 59; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 157154699978.9447721 -------------- Searches starting with [59,557]-exponents: u = 3, v = 9 n_start has 31 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(59,557) = 0.7590709200305031631 D2(59,557) = 0.05084303169188546154 C1(59,557) = 0.9755949948671835481 C2(59,557) = 2.113674352403889569 C3(59,557) = 3.940045095588798878 C4(59,557) = 4456 Sum = 4675.660065731089681 Averaged sum = 0.4671455755551093697 logp*logq = 25.78049650734024951 -------------- ************************************* p = 59; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164172710996.4042596 -------------- Searches starting with [59,563]-exponents: u = 3, v = 9 n_start has 31 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(59,563) = 0.9730573204098020661 D2(59,563) = 0.09394942520269613012 C1(59,563) = 1.291817001813005377 C2(59,563) = 2.158672071450462807 C3(59,563) = 6.145008101835174969 C4(59,563) = 4504 Sum = 4340.114745512158379 Averaged sum = 0.4336212154573042641 logp*logq = 25.82418482646487851 -------------- ************************************* p = 59; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 171424711953.8109692 -------------- Searches starting with [59,569]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(59,569) = 1.152754725498078407 D2(59,569) = 0.07336758272987327374 C1(59,569) = 1.766681885845974445 C2(59,569) = 1.144682540872679210 C3(59,569) = 11.97785400511934872 C4(59,569) = 4552 Sum = 3451.049511876514395 Averaged sum = 0.3447946360152377255 logp*logq = 25.86741000981098522 -------------- ************************************* p = 59; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173894942210.9844577 -------------- Searches starting with [59,571]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(59,571) = 0.7847952893297300202 D2(59,571) = 0.09955701046114505345 C1(59,571) = 1.202756832037289954 C2(59,571) = 1.396829707542399954 C3(59,571) = 5.422009997865032760 C4(59,571) = 4568 Sum = 4505.271844298385814 Averaged sum = 0.4501220745627321225 logp*logq = 25.88171717341551268 -------------- ************************************* p = 59; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 181467045039.1374600 -------------- Searches starting with [59,577]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(59,577) = 0.6520354476182990041 D2(59,577) = 0.1055605728104695014 C1(59,577) = 0.8547080424918607642 C2(59,577) = 1.975293152110022403 C3(59,577) = 3.324390585109868454 C4(59,577) = 4616 Sum = 4653.574515625956837 Averaged sum = 0.4649390064567845775 logp*logq = 25.92433990413318223 -------------- ************************************* p = 59; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 194637055752.7575017 -------------- Searches starting with [59,587]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(59,587) = 0.6372290308038810372 D2(59,587) = 0.07917359037114083349 C1(59,587) = 0.8274010980596583732 C2(59,587) = 1.799844420801995701 C3(59,587) = 3.199218780386211295 C4(59,587) = 4696 Sum = 4657.993421944897133 Averaged sum = 0.4653804997447194657 logp*logq = 25.99440240867737607 -------------- ************************************* p = 59; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 202877715652.0313477 -------------- Searches starting with [59,593]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(59,593) = 0.6673335766503364235 D2(59,593) = 0.06528691143002525492 C1(59,593) = 0.8795941327973550940 C2(59,593) = 1.693528923975614713 C3(59,593) = 3.442726023630817760 C4(59,593) = 4744 Sum = 4434.368838987141088 Averaged sum = 0.4430381495641064131 logp*logq = 26.03586924853030197 -------------- ************************************* p = 59; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 211379013145.2783799 -------------- Searches starting with [59,599]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(59,599) = 0.8946950073920836894 D2(59,599) = 0.02626362864418856924 C1(59,599) = 1.145994490131157282 C2(59,599) = 2.233203118152210599 C3(59,599) = 5.006251879508883163 C4(59,599) = 4792 Sum = 4654.556887506634592 Averaged sum = 0.4650371553108836639 logp*logq = 26.07691862988807578 -------------- ************************************* p = 59; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 214271648812.6501053 -------------- Searches starting with [59,601]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(59,601) = 1.461682326979014671 D2(59,601) = 0.03548651798985517323 C1(59,601) = 1.905876243141220162 C2(59,601) = 2.243046991662673567 C3(59,601) = 14.56608925206715465 C4(59,601) = 4808 Sum = 6692.505156663701768 Averaged sum = 0.6686487318077432079 logp*logq = 26.09051043395277459 -------------- ************************************* p = 59; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 223129042261.1863386 -------------- Searches starting with [59,607]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(59,607) = 1.311714137619079912 D2(59,607) = 0.03024201550743433487 C1(59,607) = 2.080557286115120369 C2(59,607) = 1.073352448147642754 C3(59,607) = 18.61949589175717865 C4(59,607) = 4856 Sum = 3159.932525936331071 Averaged sum = 0.3157091143906814937 logp*logq = 26.13101610589295698 -------------- ************************************* p = 59; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 232260019548.7242383 -------------- Searches starting with [59,613]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(59,613) = 1.177076553397151440 D2(59,613) = 0.04450616971607565478 C1(59,613) = 1.549460754072330848 C2(59,613) = 2.069513602253784134 C3(59,613) = 8.826482816253384897 C4(59,613) = 4904 Sum = 6088.943367755957145 Averaged sum = 0.6083468246334256314 logp*logq = 26.17112335493143620 -------------- ************************************* p = 59; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 238502115478.0045531 -------------- Searches starting with [59,617]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(59,617) = 0.8363446118251521569 D2(59,617) = 0.03771929180540229086 C1(59,617) = 1.133843979858394198 C2(59,617) = 2.064087611379733687 C3(59,617) = 4.921483685977086297 C4(59,617) = 4936 Sum = 3753.429926396292271 Averaged sum = 0.3750054877006985984 logp*logq = 26.19764401716420974 -------------- ************************************* p = 59; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 241670228764.4288503 -------------- Searches starting with [59,619]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(59,619) = 1.085174080387675821 D2(59,619) = 0.03438130553708513965 C1(59,619) = 1.396577781679090397 C2(59,619) = 2.061426696695781654 C3(59,619) = 7.119807077678112902 C4(59,619) = 4952 Sum = 4937.798249469540392 Averaged sum = 0.4933358227065181728 logp*logq = 26.21083994273922571 -------------- ************************************* p = 59; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 261351234808.3103215 -------------- Searches starting with [59,631]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(59,631) = 0.5761195274492362581 D2(59,631) = 0.01507728190995861419 C1(59,631) = 0.7680278571629216651 C2(59,631) = 2.046138808479458844 C3(59,631) = 2.943083850179420943 C4(59,631) = 5048 Sum = 4626.550127926193319 Averaged sum = 0.4622389976946941072 logp*logq = 26.28913106682465810 -------------- ************************************* p = 59; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278656203012.4618216 -------------- Searches starting with [59,641]-exponents: u = 19, v = 5 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(59,641) = 0.6138967582915448598 D2(59,641) = 0.1621643949224160358 C1(59,641) = 0.8086300957558254164 C2(59,641) = 2.020184764280539122 C3(59,641) = 3.115918997655935325 C4(59,641) = 5128 Sum = 4604.799268841467000 Averaged sum = 0.4600658676033037266 logp*logq = 26.35324461165967906 -------------- ************************************* p = 59; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 282218443622.0328957 -------------- Searches starting with [59,643]-exponents: u = 19, v = 5 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(59,643) = 0.6116221293884543872 D2(59,643) = 0.1477469712389336801 C1(59,643) = 0.7941521760475817223 C2(59,643) = 2.006394169148374974 C3(59,643) = 3.053155096469285322 C4(59,643) = 5144 Sum = 4500.388397339344754 Averaged sum = 0.4496341689818508097 logp*logq = 26.36594723079231573 -------------- ************************************* p = 59; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 289445935652.8063782 -------------- Searches starting with [59,647]-exponents: u = 19, v = 5 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(59,647) = 0.9152973330585959487 D2(59,647) = 0.1207965588652706098 C1(59,647) = 1.194645144518111130 C2(59,647) = 1.980691502981322773 C3(59,647) = 5.360545128864498341 C4(59,647) = 5176 Sum = 4724.238712101107305 Averaged sum = 0.4719990720452699875 logp*logq = 26.39123436575185698 -------------- ************************************* p = 59; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 300548038543.7685074 -------------- Searches starting with [59,653]-exponents: u = 27, v = 5 n_start has 62 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(59,653) = 0.6586366239274512865 D2(59,653) = 0.08422732253851835405 C1(59,653) = 0.8829404966505022880 C2(59,653) = 1.945979291785936827 C3(59,653) = 3.458956306560483510 C4(59,653) = 5224 Sum = 4188.962827915018764 Averaged sum = 0.4185196151378777864 logp*logq = 26.42887344018758963 -------------- ************************************* p = 59; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 311968559852.2784827 -------------- Searches starting with [59,659]-exponents: u = 35, v = 5 n_start has 77 digits starting right neighbors generation We generated 516 left neighbors We generated 9494 right neighbors We generated 10009 non-negative rho_i D1(59,659) = 1.041850072149188982 D2(59,659) = 0.05128900328581634918 C1(59,659) = 1.377956040611456819 C2(59,659) = 1.914880771493460747 C3(59,659) = 6.935879721000158046 C4(59,659) = 5272 Sum = 5137.511504595598953 Averaged sum = 0.5132891901883903439 logp*logq = 26.46616824997405012 -------------- ************************************* p = 59; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 315847213965.9792275 -------------- Searches starting with [59,661]-exponents: u = 35, v = 5 n_start has 77 digits starting right neighbors generation We generated 516 left neighbors We generated 9494 right neighbors We generated 10009 non-negative rho_i D1(59,661) = 1.140471180663883323 D2(59,661) = 0.04097267898369321367 C1(59,661) = 1.566646652260714278 C2(59,661) = 1.905173940099716824 C3(59,661) = 9.042279293960286074 C4(59,661) = 5288 Sum = 5546.021579655601828 Averaged sum = 0.5541034648471977048 logp*logq = 26.47852443350179556 -------------- ************************************* p = 59; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 339889161834.5528221 -------------- Searches starting with [59,673]-exponents: u = 99, v = 5 n_start has 190 digits starting right neighbors generation We generated 3463 left neighbors We generated 6547 right neighbors We generated 10009 non-negative rho_i D1(59,673) = 0.7640943880984404849 D2(59,673) = 0.01054457604946284874 C1(59,673) = 0.9939197412176682744 C2(59,673) = 1.769851658311379097 C3(59,673) = 4.042840245062235219 C4(59,673) = 5384 Sum = 4944.189453865304205 Averaged sum = 0.4939743684549209916 logp*logq = 26.55188540680456991 -------------- ************************************* p = 59; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 348202018900.0787221 -------------- Searches starting with [59,677]-exponents: u = 203, v = 5 n_start has 374 digits --- performed 5000 steps in the continued fraction search [59,677]-exponents: u = 111, v = 35 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,677) = 0.8159971116255813288 D2(59,677) = 0.1207402219205310745 C1(59,677) = 1.031851423988042765 C2(59,677) = 1.508208116970889452 C3(59,677) = 4.264223920094649891 C4(59,677) = 5416 Sum = 5150.411425604046052 Averaged sum = 0.5150926518255871639 logp*logq = 26.57604866236845458 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,677) = 0.8159971116255813288 D2(59,677) = 0.1207402219205310745 C1(59,677) = 1.031851423988042765 C2(59,677) = 1.508208116970889452 C3(59,677) = 4.264223920094649891 C4(59,677) = 5416 Sum = 5150.411425604046052 Averaged sum = 0.5150926518255871639 logp*logq = 26.57604866236845458 -------------- ************************************* p = 59; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 360957899775.5270325 -------------- Searches starting with [59,683]-exponents: u = 8, v = 333 n_start has 959 digits --- performed 5000 steps in the continued fraction search [59,683]-exponents: u = 425, v = 63 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,683) = 0.6981244056621672598 D2(59,683) = 0.3796488927600669385 C1(59,683) = 0.8544047464121091566 C2(59,683) = 1.504832405072031927 C3(59,683) = 3.322973763935115159 C4(59,683) = 5464 Sum = 5728.092160686422361 Averaged sum = 0.5728665027189141275 logp*logq = 26.61202716735809673 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,683) = 0.6981244056621672598 D2(59,683) = 0.3796488927600669385 C1(59,683) = 0.8544047464121091566 C2(59,683) = 1.504832405072031927 C3(59,683) = 3.322973763935115159 C4(59,683) = 5464 Sum = 5728.092160686422361 Averaged sum = 0.5728665027189141275 logp*logq = 26.61202716735809673 -------------- ************************************* p = 59; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 378510611426.4879745 -------------- Searches starting with [59,691]-exponents: u = 8, v = 53 n_start has 165 digits starting right neighbors generation We generated 2534 left neighbors We generated 7476 right neighbors We generated 10009 non-negative rho_i D1(59,691) = 1.142992062846031042 D2(59,691) = 0.02536287250552965891 C1(59,691) = 1.497417292440041487 C2(59,691) = 1.770012492501324202 C3(59,691) = 8.203901877183580527 C4(59,691) = 5528 Sum = 5778.163883625628748 Averaged sum = 0.5772968212234617592 logp*logq = 26.65950994490381575 -------------- ************************************* p = 59; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 401348619096.3310435 -------------- Searches starting with [59,701]-exponents: u = 8, v = 28 n_start has 94 digits starting right neighbors generation We generated 797 left neighbors We generated 9213 right neighbors We generated 10009 non-negative rho_i D1(59,701) = 0.7589540895369794130 D2(59,701) = 0.04767098570249247938 C1(59,701) = 1.039182191698680099 C2(59,701) = 1.894297289989991159 C3(59,701) = 4.308386810001124001 C4(59,701) = 5608 Sum = 3412.200389780344636 Averaged sum = 0.3409132170826600695 logp*logq = 26.71809626087108917 -------------- ************************************* p = 59; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 420355528183.0046473 -------------- Searches starting with [59,709]-exponents: u = 8, v = 18 n_start has 66 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(59,709) = 1.324272418843051962 D2(59,709) = 0.09410979171591079138 C1(59,709) = 1.768522851218686447 C2(59,709) = 1.942661544168020975 C3(59,709) = 12.00888640605349113 C4(59,709) = 5672 Sum = 5631.152530919989672 Averaged sum = 0.5626089050774292808 logp*logq = 26.76436668582224144 -------------- ************************************* p = 59; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 445060465285.4167327 -------------- Searches starting with [59,719]-exponents: u = 8, v = 13 n_start has 52 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(59,719) = 0.7915458375092519232 D2(59,719) = 0.01704354061519299624 C1(59,719) = 1.007918232912837426 C2(59,719) = 1.868963465755234755 C3(59,719) = 4.123169902521639995 C4(59,719) = 5752 Sum = 4377.213346012532299 Averaged sum = 0.4373277396355812068 logp*logq = 26.82147598692808200 -------------- ************************************* p = 59; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 465600788690.3336149 -------------- Searches starting with [59,727]-exponents: u = 8, v = 8 n_start has 38 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(59,727) = 0.8023172309589647398 D2(59,727) = 0.03480314939069333827 C1(59,727) = 1.172704201766981281 C2(59,727) = 2.044619602690683898 C3(59,727) = 5.197760326550183682 C4(59,727) = 5816 Sum = 4379.797973945847653 Averaged sum = 0.4375859700215653565 logp*logq = 26.86659442728474237 -------------- ************************************* p = 59; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 481469451797.0846194 -------------- Searches starting with [59,733]-exponents: u = 8, v = 8 n_start has 38 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(59,733) = 0.6166785697445027806 D2(59,733) = 0.04733674385211878002 C1(59,733) = 0.7910801573851091897 C2(59,733) = 2.058699663330004468 C3(59,733) = 3.040000902632123788 C4(59,733) = 5864 Sum = 4465.365073495699573 Averaged sum = 0.4461349858622938928 logp*logq = 26.90010862234450038 -------------- ************************************* p = 59; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 497742942417.0350953 -------------- Searches starting with [59,739]-exponents: u = 8, v = 8 n_start has 38 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(59,739) = 0.7155806310282091375 D2(59,739) = 0.06014414253019384689 C1(59,739) = 0.9444499475341282346 C2(59,739) = 2.073040648760622134 C3(59,739) = 3.771293384309612214 C4(59,739) = 5912 Sum = 4435.403876045312857 Averaged sum = 0.4431415602003509698 logp*logq = 26.93334960081889360 -------------- ************************************* p = 59; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 508820252497.0130627 -------------- Searches starting with [59,743]-exponents: u = 8, v = 8 n_start has 38 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(59,743) = 0.7664745385859493299 D2(59,743) = 0.06884725573030461855 C1(59,743) = 0.9970147144938996139 C2(59,743) = 2.082759102221043965 C3(59,743) = 4.060464759850564522 C4(59,743) = 5944 Sum = 4780.048672839365505 Averaged sum = 0.4775750497391712963 logp*logq = 26.95536065261610135 -------------- ************************************* p = 59; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 531532125696.5624183 -------------- Searches starting with [59,751]-exponents: u = 8, v = 8 n_start has 38 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(59,751) = 0.8276139424522447690 D2(59,751) = 0.07032130259789490923 C1(59,751) = 1.281237062445589426 C2(59,751) = 1.380973478594648942 C3(59,751) = 6.054307657665420144 C4(59,751) = 6008 Sum = 4482.303326122708801 Averaged sum = 0.4478272880530231593 logp*logq = 26.99902947635721431 -------------- ************************************* p = 59; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 549061830043.1376054 -------------- Searches starting with [59,757]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(59,757) = 0.9070584642001685048 D2(59,757) = 0.06264419158725473326 C1(59,757) = 1.404091489305374824 C2(59,757) = 1.320336323463462152 C3(59,757) = 7.195393966900065096 C4(59,757) = 6056 Sum = 4512.119832559869021 Averaged sum = 0.4508062576241251894 logp*logq = 27.03147689514383909 -------------- ************************************* p = 59; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 560988331768.9400158 -------------- Searches starting with [59,761]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(59,761) = 1.405841071883081523 D2(59,761) = 0.07348047771398589951 C1(59,761) = 1.838739765973771132 C2(59,761) = 2.183246958240212998 C3(59,761) = 13.25448927803205394 C4(59,761) = 6088 Sum = 4814.961235312590811 Averaged sum = 0.4810631666812459597 logp*logq = 27.05296594326695889 -------------- ************************************* p = 59; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 585426949576.5278154 -------------- Searches starting with [59,769]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(59,769) = 0.9914868377190474851 D2(59,769) = 0.04466084200673070000 C1(59,769) = 1.359736894220143641 C2(59,769) = 2.156787294004580642 C3(59,769) = 6.760528118218875744 C4(59,769) = 6152 Sum = 4869.549884746167506 Averaged sum = 0.4865171230638592772 logp*logq = 27.09560724631902265 -------------- ************************************* p = 59; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 597943337484.2961198 -------------- Searches starting with [59,773]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(59,773) = 1.125250424393057302 D2(59,773) = 0.03103707128995447663 C1(59,773) = 1.446701236291543696 C2(59,773) = 2.144334197104378351 C3(59,773) = 7.639474405913244255 C4(59,773) = 6184 Sum = 4875.869287909686604 Averaged sum = 0.4871484951453378563 logp*logq = 27.11676183303691639 -------------- ************************************* p = 59; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 643347189116.3193794 -------------- Searches starting with [59,787]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(59,787) = 0.7158617474294416441 D2(59,787) = 0.1414354314271286783 C1(59,787) = 1.064036045190943248 C2(59,787) = 1.498770407161738526 C3(59,787) = 4.461546554680740712 C4(59,787) = 6296 Sum = 4383.386603767033444 Averaged sum = 0.4379445103174176685 logp*logq = 27.18995036743181118 -------------- ************************************* p = 59; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 677337230099.5266329 -------------- Searches starting with [59,797]-exponents: u = 18, v = 3 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(59,797) = 0.6085546114174053479 D2(59,797) = 0.1350310975656728148 C1(59,797) = 0.8054601604822029686 C2(59,797) = 2.119253996249664250 C3(59,797) = 3.102067452808723536 C4(59,797) = 6376 Sum = 4496.720333073247165 Averaged sum = 0.4492676923841789554 logp*logq = 27.24143511005981979 -------------- ************************************* p = 59; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 719894709292.7093456 -------------- Searches starting with [59,809]-exponents: u = 18, v = 3 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(59,809) = 0.8186506852658839422 D2(59,809) = 0.06579577578621164054 C1(59,809) = 1.046500350920459878 C2(59,809) = 2.053240869568787840 C3(59,809) = 4.352929937998157343 C4(59,809) = 6472 Sum = 4530.527503742043168 Averaged sum = 0.4526453695416168616 logp*logq = 27.30237080116936660 -------------- ************************************* p = 59; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 727179217039.8256833 -------------- Searches starting with [59,811]-exponents: u = 18, v = 3 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(59,811) = 1.073505712494816268 D2(59,811) = 0.05547421316028251439 C1(59,811) = 1.554719823579674459 C2(59,811) = 2.043451643681245023 C3(59,811) = 8.891966243729177359 C4(59,811) = 6488 Sum = 4163.666711493998932 Averaged sum = 0.4159922780991106936 logp*logq = 27.31243879997309809 -------------- ************************************* p = 59; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 764439900943.6594308 -------------- Searches starting with [59,821]-exponents: u = 23, v = 3 n_start has 50 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(59,821) = 0.6726620029357198783 D2(59,821) = 0.007742925191334627454 C1(59,821) = 0.8890361531141633136 C2(59,821) = 1.998362310666991322 C3(59,821) = 3.488717890175549205 C4(59,821) = 6568 Sum = 4578.696716038442455 Averaged sum = 0.4574579594403479323 logp*logq = 27.36240924698691460 -------------- ************************************* p = 59; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 772061670277.5277003 -------------- Searches starting with [59,823]-exponents: u = 23, v = 3 n_start has 50 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(59,823) = 0.8345857976234519885 D2(59,823) = 0.1237740473920220269 C1(59,823) = 1.073717545431729527 C2(59,823) = 2.020319379042694659 C3(59,823) = 4.522671007565712000 C4(59,823) = 6584 Sum = 4754.649299631343545 Averaged sum = 0.4750373963064585418 logp*logq = 27.37233026755982911 -------------- ************************************* p = 59; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 787477144844.0159467 -------------- Searches starting with [59,827]-exponents: u = 28, v = 3 n_start has 59 digits starting right neighbors generation We generated 213 left neighbors We generated 9797 right neighbors We generated 10009 non-negative rho_i D1(59,827) = 0.7256157362571202813 D2(59,827) = 0.09324660209430539283 C1(59,827) = 1.031673785204285237 C2(59,827) = 1.990799284397909373 C3(59,827) = 4.263159403736198103 C4(59,827) = 6616 Sum = 4241.224618477431169 Averaged sum = 0.4237410948623669866 logp*logq = 27.39210018480474348 -------------- ************************************* p = 59; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 795271429316.6192130 -------------- Searches starting with [59,829]-exponents: u = 28, v = 3 n_start has 59 digits starting right neighbors generation We generated 213 left neighbors We generated 9797 right neighbors We generated 10009 non-negative rho_i D1(59,829) = 0.7994907498443690887 D2(59,829) = 0.07897188602995246843 C1(59,829) = 1.049830701807167805 C2(59,829) = 1.977026404113040374 C3(59,829) = 4.373352830303545934 C4(59,829) = 6632 Sum = 4483.699474975898779 Averaged sum = 0.4479667773979317393 logp*logq = 27.40194931385406810 -------------- ************************************* p = 59; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 835119976480.1445573 -------------- Searches starting with [59,839]-exponents: u = 33, v = 3 n_start has 68 digits starting right neighbors generation We generated 324 left neighbors We generated 9686 right neighbors We generated 10009 non-negative rho_i D1(59,839) = 0.6875424933865582543 D2(59,839) = 0.01514973999552831161 C1(59,839) = 0.9142430883576691496 C2(59,839) = 1.915695277183491744 C3(59,839) = 3.614532334005930243 C4(59,839) = 6712 Sum = 4307.612652506550393 Averaged sum = 0.4303739287148117088 logp*logq = 27.45084123588300962 -------------- ************************************* p = 59; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 893417429465.1510840 -------------- Searches starting with [59,853]-exponents: u = 43, v = 3 n_start has 85 digits starting right neighbors generation We generated 430 left neighbors We generated 9580 right neighbors We generated 10009 non-negative rho_i D1(59,853) = 0.9198142445986956616 D2(59,853) = 0.05871112397951023496 C1(59,853) = 1.253768993157598647 C2(59,853) = 1.835128692357259657 C3(59,853) = 5.825028211150891590 C4(59,853) = 6824 Sum = 5065.271827139479264 Averaged sum = 0.5060717181675970890 logp*logq = 27.51831975481354112 -------------- ************************************* p = 59; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 910624065953.5418245 -------------- Searches starting with [59,857]-exponents: u = 53, v = 3 n_start has 103 digits starting right neighbors generation We generated 757 left neighbors We generated 9253 right neighbors We generated 10009 non-negative rho_i D1(59,857) = 1.403424204576221675 D2(59,857) = 0.02309876413250232614 C1(59,857) = 1.900239872860500340 C2(59,857) = 1.800434477037988180 C3(59,857) = 14.45115428787902064 C4(59,857) = 6856 Sum = 3797.244823428712614 Averaged sum = 0.3793830376090231405 logp*logq = 27.53739598817515323 -------------- ************************************* p = 59; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 919320586988.0643106 -------------- Searches starting with [59,859]-exponents: u = 53, v = 3 n_start has 103 digits starting right neighbors generation We generated 757 left neighbors We generated 9253 right neighbors We generated 10009 non-negative rho_i D1(59,859) = 0.6374253454605546427 D2(59,859) = 0.006541986243956994977 C1(59,859) = 0.8120683482420608131 C2(59,859) = 1.784335157239806379 C3(59,859) = 3.131012932091846661 C4(59,859) = 6872 Sum = 4648.100512968203687 Averaged sum = 0.4643920984082529411 logp*logq = 27.54690074176537845 -------------- ************************************* p = 59; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 936901545248.6586000 -------------- Searches starting with [59,863]-exponents: u = 63, v = 3 n_start has 121 digits starting right neighbors generation We generated 1041 left neighbors We generated 8969 right neighbors We generated 10009 non-negative rho_i D1(59,863) = 0.8134628221361094580 D2(59,863) = 0.01747564916520008347 C1(59,863) = 1.089417279764871410 C2(59,863) = 1.750019859881522850 C3(59,863) = 4.623576873756239961 C4(59,863) = 6904 Sum = 3668.482594852278546 Averaged sum = 0.3665183929315894241 logp*logq = 27.56584403922299476 -------------- ************************************* p = 59; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1000439981121.269610 -------------- Searches starting with [59,877]-exponents: u = 113, v = 3 n_start has 209 digits starting right neighbors generation We generated 3136 left neighbors We generated 6874 right neighbors We generated 10009 non-negative rho_i D1(59,877) = 0.6543409419153295200 D2(59,877) = 0.004531637181189252766 C1(59,877) = 0.8471180425481658721 C2(59,877) = 1.590240917758616015 C3(59,877) = 3.289115491406568090 C4(59,877) = 7016 Sum = 4861.865475965935668 Averaged sum = 0.4857493731607488927 logp*logq = 27.63146100028650593 -------------- ************************************* p = 59; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1019176820876.104251 -------------- Searches starting with [59,881]-exponents: u = 148, v = 3 n_start has 271 digits starting right neighbors generation We generated 5151 left neighbors We generated 4859 right neighbors We generated 10009 non-negative rho_i D1(59,881) = 0.7963453128120143642 D2(59,881) = 0.01089104626055888172 C1(59,881) = 1.018842853610744202 C2(59,881) = 1.524995607805224243 C3(59,881) = 4.186967571111500044 C4(59,881) = 7048 Sum = 5008.766292722967455 Averaged sum = 0.5004262456512106559 logp*logq = 27.65001637903719566 -------------- ************************************* p = 59; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1028643952363.547657 -------------- Searches starting with [59,883]-exponents: u = 178, v = 3 n_start has 325 digits --- performed 5000 steps in the continued fraction search [59,883]-exponents: u = 96, v = 19 --- starting right neighbors generation We generated 7681 left neighbors We generated 2329 right neighbors We generated 10009 non-negative rho_i D1(59,883) = 0.6455290405971383020 D2(59,883) = 0.00006930748037725955090 C1(59,883) = 0.8206206269255679372 C2(59,883) = 1.486410410379176002 C3(59,883) = 3.168875339790448929 C4(59,883) = 7064 Sum = 5002.867318308270291 Averaged sum = 0.4998368786400509832 logp*logq = 27.65926249965192274 -------------- ************************************* p = 59; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1047777194749.509437 -------------- Searches starting with [59,887]-exponents: u = 278, v = 3 n_start has 502 digits --- performed 5000 steps in the continued fraction search [59,887]-exponents: u = 183, v = 41 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,887) = 0.5989335133406904136 D2(59,887) = 0.1387852957549492815 C1(59,887) = 0.7485166118330252917 C2(59,887) = 1.442679736039626192 C3(59,887) = 2.863472464726819390 C4(59,887) = 7096 Sum = 5304.936249724261267 Averaged sum = 0.5305466796403901657 logp*logq = 27.67769207879486622 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(59,887) = 0.5989335133406904136 D2(59,887) = 0.1387852957549492815 C1(59,887) = 0.7485166118330252917 C2(59,887) = 1.442679736039626192 C3(59,887) = 2.863472464726819390 C4(59,887) = 7096 Sum = 5304.936249724261267 Averaged sum = 0.5305466796403901657 logp*logq = 27.67769207879486622 -------------- ************************************* p = 59; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1147504658624.444235 -------------- Searches starting with [59,907]-exponents: u = 5, v = 94 n_start has 287 digits --- performed 5000 steps in the continued fraction search [59,907]-exponents: u = 21, v = 44 --- starting right neighbors generation We generated 5793 left neighbors We generated 4217 right neighbors We generated 10009 non-negative rho_i D1(59,907) = 0.6039569299202906748 D2(59,907) = 0.01105393643803181715 C1(59,907) = 0.7718409007616827190 C2(59,907) = 1.518752097332212649 C3(59,907) = 2.958898785644439756 C4(59,907) = 7256 Sum = 4847.648231630686161 Averaged sum = 0.4843289271286528285 logp*logq = 27.76861083867630764 -------------- ************************************* p = 59; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1168280150762.989958 -------------- Searches starting with [59,911]-exponents: u = 5, v = 70 n_start has 217 digits starting right neighbors generation We generated 3263 left neighbors We generated 6747 right neighbors We generated 10009 non-negative rho_i D1(59,911) = 0.9956327391482731434 D2(59,911) = 0.008580294585489350072 C1(59,911) = 1.286921030747614301 C2(59,911) = 1.584918253295747321 C3(59,911) = 6.102867893876755550 C4(59,911) = 7288 Sum = 5296.023596542338476 Averaged sum = 0.5291261461227233965 logp*logq = 27.78655382667924621 -------------- ************************************* p = 59; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1210681638333.087897 -------------- Searches starting with [59,919]-exponents: u = 5, v = 49 n_start has 155 digits starting right neighbors generation We generated 1710 left neighbors We generated 8300 right neighbors We generated 10009 non-negative rho_i D1(59,919) = 0.6990590372659346426 D2(59,919) = 0.007133099441799723747 C1(59,919) = 0.9220217596967013596 C2(59,919) = 1.686573587895582584 C3(59,919) = 3.654266353682127323 C4(59,919) = 7352 Sum = 3993.460773058286888 Averaged sum = 0.3989869890157145458 logp*logq = 27.82220465438757627 -------------- ************************************* p = 59; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1265304952514.209715 -------------- Searches starting with [59,929]-exponents: u = 5, v = 34 n_start has 110 digits starting right neighbors generation We generated 818 left neighbors We generated 9192 right neighbors We generated 10009 non-negative rho_i D1(59,929) = 0.8488332438716356918 D2(59,929) = 0.02441090548235217355 C1(59,929) = 1.098467320091867819 C2(59,929) = 1.781091025582156198 C3(59,929) = 4.682763331511363401 C4(59,929) = 7432 Sum = 4879.816466047637155 Averaged sum = 0.4875428580325344345 logp*logq = 27.86633427823671917 -------------- ************************************* p = 59; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1310326292164.304081 -------------- Searches starting with [59,937]-exponents: u = 5, v = 28 n_start has 93 digits starting right neighbors generation We generated 568 left neighbors We generated 9442 right neighbors We generated 10009 non-negative rho_i D1(59,937) = 0.7755880806134797504 D2(59,937) = 0.03494871527996717320 C1(59,937) = 0.9943225164778514154 C2(59,937) = 1.841811262737585824 C3(59,937) = 4.045129536374909669 C4(59,937) = 7496 Sum = 4613.481000466501424 Averaged sum = 0.4609332601125488484 logp*logq = 27.90129730011485467 -------------- ************************************* p = 59; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1333285120301.629039 -------------- Searches starting with [59,941]-exponents: u = 5, v = 25 n_start has 84 digits starting right neighbors generation We generated 416 left neighbors We generated 9594 right neighbors We generated 10009 non-negative rho_i D1(59,941) = 0.7377358054553552146 D2(59,941) = 0.06647288173354426627 C1(59,941) = 0.9687393393300163683 C2(59,941) = 1.873996934750443165 C3(59,941) = 3.902262805120619665 C4(59,941) = 7528 Sum = 4704.748557750561516 Averaged sum = 0.4700518091468240099 logp*logq = 27.91866702795277053 -------------- ************************************* p = 59; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1368291047815.936766 -------------- Searches starting with [59,947]-exponents: u = 5, v = 22 n_start has 75 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(59,947) = 0.6722166409753095499 D2(59,947) = 0.03502533811239413473 C1(59,947) = 0.8884475402279103495 C2(59,947) = 1.903782178472877017 C3(59,947) = 3.485832897286749538 C4(59,947) = 7576 Sum = 4501.621066003016710 Averaged sum = 0.4497573250077946558 logp*logq = 27.94458366675134649 -------------- ************************************* p = 59; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1403986239311.193344 -------------- Searches starting with [59,953]-exponents: u = 5, v = 19 n_start has 66 digits starting right neighbors generation We generated 241 left neighbors We generated 9769 right neighbors We generated 10009 non-negative rho_i D1(59,953) = 0.6246513330077313901 D2(59,953) = 0.07450260824386637905 C1(59,953) = 0.8677870802658216400 C2(59,953) = 1.944269738465078588 C3(59,953) = 3.386066332669248031 C4(59,953) = 7624 Sum = 4463.356687016940677 Averaged sum = 0.4459343278066680664 logp*logq = 27.97033662042373328 -------------- ************************************* p = 59; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1490006744001.487958 -------------- Searches starting with [59,967]-exponents: u = 5, v = 16 n_start has 57 digits starting right neighbors generation We generated 203 left neighbors We generated 9807 right neighbors We generated 10009 non-negative rho_i D1(59,967) = 0.6921001388273515155 D2(59,967) = 0.05432394190141286572 C1(59,967) = 0.9306612995490853270 C2(59,967) = 2.003690212021684142 C3(59,967) = 3.698909934231998249 C4(59,967) = 7736 Sum = 4071.842478107878324 Averaged sum = 0.4068181115104284468 logp*logq = 28.02980176205116815 -------------- ************************************* p = 59; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1515298743479.114979 -------------- Searches starting with [59,971]-exponents: u = 5, v = 16 n_start has 57 digits starting right neighbors generation We generated 203 left neighbors We generated 9807 right neighbors We generated 10009 non-negative rho_i D1(59,971) = 0.7952913776790178865 D2(59,971) = 0.07540921681031439217 C1(59,971) = 1.013692707370691743 C2(59,971) = 2.025461410842085150 C3(59,971) = 4.156769649892729427 C4(59,971) = 7768 Sum = 4405.922708978842916 Averaged sum = 0.4401960944129126702 logp*logq = 28.04663372586566363 -------------- ************************************* p = 59; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1553842646663.028804 -------------- Searches starting with [59,977]-exponents: u = 5, v = 13 n_start has 48 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(59,977) = 0.5984040976267263947 D2(59,977) = 0.1092948158179101986 C1(59,977) = 0.8535905486903754601 C2(59,977) = 2.060370535700219354 C3(59,977) = 3.319173295872729562 C4(59,977) = 7816 Sum = 4558.802476438540765 Averaged sum = 0.4554703243519373329 logp*logq = 28.07175210577357253 -------------- ************************************* p = 59; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1593121951783.695601 -------------- Searches starting with [59,983]-exponents: u = 5, v = 13 n_start has 48 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(59,983) = 0.6700840081387740168 D2(59,983) = 0.1465769653475069559 C1(59,983) = 0.9120783631043426469 C2(59,983) = 2.098669849636049457 C3(59,983) = 3.603551807770491297 C4(59,983) = 7864 Sum = 4094.434280782135305 Averaged sum = 0.4090752603439040168 logp*logq = 28.09671669871831599 -------------- ************************************* p = 59; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1646654596787.273715 -------------- Searches starting with [59,991]-exponents: u = 5, v = 13 n_start has 48 digits starting right neighbors generation We generated 165 left neighbors We generated 9845 right neighbors We generated 10009 non-negative rho_i D1(59,991) = 0.8410066351160420006 D2(59,991) = 0.02532145966002528640 C1(59,991) = 1.223442412055303949 C2(59,991) = 2.083679039425303299 C3(59,991) = 5.581960383319358061 C4(59,991) = 7928 Sum = 4040.726682575898236 Averaged sum = 0.4037093298607151799 logp*logq = 28.12976682854713488 -------------- ************************************* p = 59; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1687686556117.854621 -------------- Searches starting with [59,997]-exponents: u = 5, v = 10 n_start has 39 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(59,997) = 0.7520702995926864394 D2(59,997) = 0.04632672912784960794 C1(59,997) = 0.9702761000928913380 C2(59,997) = 2.105741133391342018 C3(59,997) = 3.910700438299219342 C4(59,997) = 7976 Sum = 4695.885136604696123 Averaged sum = 0.4691662640228490482 logp*logq = 28.15437980535624255 -------------- ************************************* p = 61; q = 67; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32119086.16347219968 -------------- Searches starting with [61,67]-exponents: u = 1, v = 43 n_start has 81 digits starting right neighbors generation We generated 331 left neighbors We generated 9679 right neighbors We generated 10009 non-negative rho_i D1(61,67) = 0.7771758363807234481 D2(61,67) = 0.02182773692702607277 C1(61,67) = 1.065786516233100736 C2(61,67) = 1.266921032901091306 C3(61,67) = 4.511518476718270665 C4(61,67) = 536 Sum = 5245.885589867611790 Averaged sum = 0.5241168538183246868 logp*logq = 17.28496099593674250 -------------- ************************************* p = 61; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40765198.51737077980 -------------- Searches starting with [61,71]-exponents: u = 1, v = 27 n_start has 52 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(61,71) = 0.9287363702339410001 D2(61,71) = 0.03347776357367299485 C1(61,71) = 1.322750686058942033 C2(61,71) = 1.416592023491433323 C3(61,71) = 6.487566459711965599 C4(61,71) = 568 Sum = 3292.363458691141902 Averaged sum = 0.3289402995994746630 logp*logq = 17.52333929786664759 -------------- ************************************* p = 61; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45696742.89647373723 -------------- Searches starting with [61,73]-exponents: u = 1, v = 22 n_start has 43 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(61,73) = 0.8543038431295429296 D2(61,73) = 0.08641988795489842383 C1(61,73) = 1.234308214241396519 C2(61,73) = 1.517174732858134819 C3(61,73) = 5.725111720760058005 C4(61,73) = 584 Sum = 4722.914767093548567 Averaged sum = 0.4718667965924216771 logp*logq = 17.63753758191255212 -------------- ************************************* p = 61; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63227442.24269371751 -------------- Searches starting with [61,79]-exponents: u = 1, v = 15 n_start has 31 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(61,79) = 0.8534855726027290362 D2(61,79) = 0.1108988022050225008 C1(61,79) = 1.279333351882959668 C2(61,79) = 1.678562664328568395 C3(61,79) = 6.101356981239710060 C4(61,79) = 632 Sum = 5039.462158412409518 Averaged sum = 0.5034930720763722168 logp*logq = 17.96224897757488105 -------------- ************************************* p = 61; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77461869.32506555441 -------------- Searches starting with [61,83]-exponents: u = 1, v = 13 n_start has 27 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(61,83) = 0.8242241052502858090 D2(61,83) = 0.1672233063627425307 C1(61,83) = 1.134012729656265884 C2(61,83) = 1.803747010600602328 C3(61,83) = 4.968315225292944259 C4(61,83) = 664 Sum = 4908.015783761864417 Averaged sum = 0.4903602541474537333 logp*logq = 18.16529636453874382 -------------- ************************************* p = 61; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103203976.0730949374 -------------- Searches starting with [61,89]-exponents: u = 1, v = 10 n_start has 22 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(61,89) = 0.7925062020494495819 D2(61,89) = 0.1529040564242530426 C1(61,89) = 1.243354124360423394 C2(61,89) = 1.235553629875198663 C3(61,89) = 5.798792374598601857 C4(61,89) = 712 Sum = 4749.505589085031448 Averaged sum = 0.4745234877695105852 logp*logq = 18.45221793810962552 -------------- ************************************* p = 61; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147017148.9814093748 -------------- Searches starting with [61,97]-exponents: u = 1, v = 8 n_start has 18 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(61,97) = 0.7325176676325281475 D2(61,97) = 0.1231943229869427400 C1(61,97) = 1.182235280243394286 C2(61,97) = 1.279248611238811960 C3(61,97) = 5.318811675835206247 C4(61,97) = 776 Sum = 4453.236459439721875 Averaged sum = 0.4449232150504268034 logp*logq = 18.80605979767627115 -------------- ************************************* p = 61; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173585062.7970514581 -------------- Searches starting with [61,101]-exponents: u = 1, v = 8 n_start has 18 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(61,101) = 0.7638468788983593524 D2(61,101) = 0.06852592879848278169 C1(61,101) = 0.9897881339333719022 C2(61,101) = 1.994881056979450725 C3(61,101) = 4.051956161134445841 C4(61,101) = 808 Sum = 5101.624546317591862 Averaged sum = 0.5097037212826048418 logp*logq = 18.97217831269275761 -------------- ************************************* p = 61; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 188156809.3160999019 -------------- Searches starting with [61,103]-exponents: u = 1, v = 7 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(61,103) = 0.7805717916078659343 D2(61,103) = 0.09089534940707407584 C1(61,103) = 1.013124769313470611 C2(61,103) = 1.726157764065596747 C3(61,103) = 4.187857498983376690 C4(61,103) = 824 Sum = 5111.073964842667498 Averaged sum = 0.5106478134521598059 logp*logq = 19.05278626523962399 -------------- ************************************* p = 61; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220059809.1946050987 -------------- Searches starting with [61,107]-exponents: u = 1, v = 7 n_start has 16 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(61,107) = 0.8135331684026572754 D2(61,107) = 0.05829074420738782316 C1(61,107) = 1.040697194245562877 C2(61,107) = 1.452867592662631318 C3(61,107) = 4.354312043795781499 C4(61,107) = 856 Sum = 4844.627954305282520 Averaged sum = 0.4840271709766492676 logp*logq = 19.20940992734488639 -------------- ************************************* p = 61; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 237467040.9355460087 -------------- Searches starting with [61,109]-exponents: u = 1, v = 7 n_start has 17 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(61,109) = 0.8654928090541930811 D2(61,109) = 0.03963578608000367555 C1(61,109) = 1.454277568309324335 C2(61,109) = 1.159351922231694686 C3(61,109) = 7.813231003208872146 C4(61,109) = 872 Sum = 4633.041492608164810 Averaged sum = 0.4628875504653976231 logp*logq = 19.28553939680060026 -------------- ************************************* p = 61; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 275388952.6874572821 -------------- Searches starting with [61,113]-exponents: u = 1, v = 6 n_start has 15 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(61,113) = 1.331111116339613376 D2(61,113) = 0.04031923893561320005 C1(61,113) = 1.931246480621277764 C2(61,113) = 1.759582090936376250 C3(61,113) = 15.33409569038870517 C4(61,113) = 904 Sum = 4068.343185251777389 Averaged sum = 0.4064684968779875501 logp*logq = 19.43369502975584047 -------------- ************************************* p = 61; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 445114489.5326953791 -------------- Searches starting with [61,127]-exponents: u = 7, v = 5 n_start has 24 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(61,127) = 0.8079598578737841494 D2(61,127) = 0.1353406570733409286 C1(61,127) = 1.020080182116532831 C2(61,127) = 1.748515987223539355 C3(61,127) = 4.229237368728951859 C4(61,127) = 1016 Sum = 4379.416454787190181 Averaged sum = 0.4375478524115486243 logp*logq = 19.91384208688848330 -------------- ************************************* p = 61; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 505632793.1865207572 -------------- Searches starting with [61,131]-exponents: u = 13, v = 5 n_start has 34 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(61,131) = 0.7200202167152500710 D2(61,131) = 0.1175378835015279884 C1(61,131) = 0.9789005327723520011 C2(61,131) = 1.761016275956927232 C3(61,131) = 3.990069568197263632 C4(61,131) = 1048 Sum = 4695.806434336141551 Averaged sum = 0.4691584008728286093 logp*logq = 20.04132125863530123 -------------- ************************************* p = 61; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 607839241.9112139619 -------------- Searches starting with [61,137]-exponents: u = 73, v = 5 n_start has 142 digits starting right neighbors generation We generated 2544 left neighbors We generated 7466 right neighbors We generated 10009 non-negative rho_i D1(61,137) = 0.6486308916840567707 D2(61,137) = 0.006532016256109496058 C1(61,137) = 0.8311456203893774960 C2(61,137) = 1.548309933600861668 C3(61,137) = 3.237939136630840348 C4(61,137) = 1096 Sum = 4671.945445332321325 Averaged sum = 0.4667744475304547232 logp*logq = 20.22542100021804931 -------------- ************************************* p = 61; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 645154205.9332115103 -------------- Searches starting with [61,139]-exponents: u = 6, v = 574 n_start has 1241 digits --- performed 5000 steps in the continued fraction search [61,139]-exponents: u = 475, v = 176 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,139) = 0.6926547347315914341 D2(61,139) = 0.4610006691620600096 C1(61,139) = 0.8424826573250039894 C2(61,139) = 1.344710680906225289 C3(61,139) = 3.290249829060003788 C4(61,139) = 1112 Sum = 6212.609885294559167 Averaged sum = 0.6213231208415400707 logp*logq = 20.28499992515144428 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,139) = 0.6926547347315914341 D2(61,139) = 0.4610006691620600096 C1(61,139) = 0.8424826573250039894 C2(61,139) = 1.344710680906225289 C3(61,139) = 3.290249829060003788 C4(61,139) = 1112 Sum = 6212.609885294559167 Averaged sum = 0.6213231208415400707 logp*logq = 20.28499992515144428 -------------- ************************************* p = 61; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 858409732.2141097546 -------------- Searches starting with [61,149]-exponents: u = 6, v = 9 n_start has 31 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(61,149) = 0.9025539708930724565 D2(61,149) = 0.08222639458993118975 C1(61,149) = 1.285462051897744321 C2(61,149) = 1.808171661028154244 C3(61,149) = 6.154447253008280333 C4(61,149) = 1192 Sum = 4162.795702812643277 Averaged sum = 0.4159052555512681863 logp*logq = 20.57059208683777598 -------------- ************************************* p = 61; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 906774676.8831933472 -------------- Searches starting with [61,151]-exponents: u = 6, v = 9 n_start has 31 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(61,151) = 0.7272652060496403639 D2(61,151) = 0.1114170300306763716 C1(61,151) = 0.9311123893048400403 C2(61,151) = 1.333900840146131549 C3(61,151) = 3.729423426394681791 C4(61,151) = 1208 Sum = 4962.442803182505405 Averaged sum = 0.4957980620623943855 logp*logq = 20.62540455040620846 -------------- ************************************* p = 61; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1064305948.422340262 -------------- Searches starting with [61,157]-exponents: u = 11, v = 4 n_start has 29 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(61,157) = 0.7478225936561114943 D2(61,157) = 0.03989240381659238600 C1(61,157) = 1.129197883328182109 C2(61,157) = 1.810405092282673873 C3(61,157) = 4.934613518670470608 C4(61,157) = 1256 Sum = 4945.231189166762041 Averaged sum = 0.4940784483131943292 logp*logq = 20.78558873204229529 -------------- ************************************* p = 61; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1241721513.554007271 -------------- Searches starting with [61,163]-exponents: u = 26, v = 4 n_start has 56 digits starting right neighbors generation We generated 325 left neighbors We generated 9685 right neighbors We generated 10009 non-negative rho_i D1(61,163) = 0.9009343117317011755 D2(61,163) = 0.03295658481447395407 C1(61,163) = 1.215944577436814499 C2(61,163) = 1.684592644875513759 C3(61,163) = 5.578403211364614178 C4(61,163) = 1304 Sum = 4886.412074171886780 Averaged sum = 0.4882018257739920851 logp*logq = 20.93976457112407520 -------------- ************************************* p = 61; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1371851330.198016885 -------------- Searches starting with [61,167]-exponents: u = 61, v = 4 n_start has 118 digits starting right neighbors generation We generated 1558 left neighbors We generated 8452 right neighbors We generated 10009 non-negative rho_i D1(61,167) = 0.7216349486698265550 D2(61,167) = 0.006591788284685390107 C1(61,167) = 0.9697887245673122323 C2(61,167) = 1.514934588577633659 C3(61,167) = 3.939003961506519238 C4(61,167) = 1336 Sum = 4124.219518224658382 Averaged sum = 0.4120511058272213390 logp*logq = 21.03942700046476315 -------------- ************************************* p = 61; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1586080523.463692524 -------------- Searches starting with [61,173]-exponents: u = 5, v = 67 n_start has 159 digits starting right neighbors generation We generated 2810 left neighbors We generated 7200 right neighbors We generated 10009 non-negative rho_i D1(61,173) = 0.7000050169148841533 D2(61,173) = 0.001403405554280098439 C1(61,173) = 0.9204621776267897100 C2(61,173) = 1.444057255456746552 C3(61,173) = 3.673695580928373061 C4(61,173) = 1384 Sum = 5144.431875825640003 Averaged sum = 0.5139806050380297735 logp*logq = 21.18453173028492908 -------------- ************************************* p = 61; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1824713330.773365677 -------------- Searches starting with [61,179]-exponents: u = 5, v = 19 n_start has 52 digits starting right neighbors generation We generated 294 left neighbors We generated 9716 right neighbors We generated 10009 non-negative rho_i D1(61,179) = 0.9462686012551939190 D2(61,179) = 0.003317862281506354250 C1(61,179) = 1.283193060398541767 C2(61,179) = 1.723617469664877757 C3(61,179) = 6.134738321310148284 C4(61,179) = 1432 Sum = 5070.529962823082397 Averaged sum = 0.5065970589292718949 logp*logq = 21.32468873261437057 -------------- ************************************* p = 61; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1909993314.645519116 -------------- Searches starting with [61,181]-exponents: u = 5, v = 15 n_start has 43 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(61,181) = 0.7674031602136945459 D2(61,181) = 0.04197530060941939412 C1(61,181) = 1.055837407234032230 C2(61,181) = 1.764242725180669041 C3(61,181) = 4.448510731107959576 C4(61,181) = 1448 Sum = 4399.973938768574197 Averaged sum = 0.4396017522997876108 logp*logq = 21.37036557881323191 -------------- ************************************* p = 61; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2382541382.850594857 -------------- Searches starting with [61,191]-exponents: u = 5, v = 7 n_start has 25 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(61,191) = 1.030206730341966620 D2(61,191) = 0.003355334306318645680 C1(61,191) = 1.494689175625465703 C2(61,191) = 1.897704751419930064 C3(61,191) = 8.272575330100910808 C4(61,191) = 1528 Sum = 4043.334528378486955 Averaged sum = 0.4039698799458973879 logp*logq = 21.59143356284885338 -------------- ************************************* p = 61; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2486782523.952413600 -------------- Searches starting with [61,193]-exponents: u = 5, v = 7 n_start has 25 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(61,193) = 0.8071637852148237369 D2(61,193) = 0.01986861363925753145 C1(61,193) = 1.136397031467026674 C2(61,193) = 1.916271321349383556 C3(61,193) = 4.985089353589000689 C4(61,193) = 1544 Sum = 3941.368672584598349 Averaged sum = 0.3937824630417222848 logp*logq = 21.63425555281040021 -------------- ************************************* p = 61; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2705585366.702924000 -------------- Searches starting with [61,197]-exponents: u = 5, v = 7 n_start has 25 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(61,197) = 1.153085754524568216 D2(61,197) = 0.03366503540903245991 C1(61,197) = 1.895091287712856638 C2(61,197) = 1.048314712109969313 C3(61,197) = 14.57005735629949344 C4(61,197) = 1576 Sum = 4619.979051040161148 Averaged sum = 0.4615824808712320060 logp*logq = 21.71858412757198129 -------------- ************************************* p = 61; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2820298194.572889665 -------------- Searches starting with [61,199]-exponents: u = 9, v = 3 n_start has 23 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(61,199) = 0.7942100371583843826 D2(61,199) = 0.04097413031280310429 C1(61,199) = 1.305183568850696694 C2(61,199) = 1.995493118667147745 C3(61,199) = 6.328441453721886366 C4(61,199) = 1592 Sum = 4455.402827867872422 Averaged sum = 0.4451396570954013810 logp*logq = 21.76010845906240606 -------------- ************************************* p = 61; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3587831168.935699767 -------------- Searches starting with [61,211]-exponents: u = 13, v = 3 n_start has 31 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(61,211) = 1.117342801231952722 D2(61,211) = 0.1279251249451260214 C1(61,211) = 1.490389151180903143 C2(61,211) = 1.942688235925698107 C3(61,211) = 8.222441620742898395 C4(61,211) = 1688 Sum = 4709.623738388819706 Averaged sum = 0.4705388888389269364 logp*logq = 22.00081372567012244 -------------- ************************************* p = 61; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4503862119.389816337 -------------- Searches starting with [61,223]-exponents: u = 21, v = 3 n_start has 45 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(61,223) = 0.7449319624401668494 D2(61,223) = 0.02991571111980263324 C1(61,223) = 0.9562372359475108299 C2(61,223) = 1.755560247078883242 C3(61,223) = 3.864263171581251944 C4(61,223) = 1784 Sum = 4718.769872059436546 Averaged sum = 0.4714526797941289386 logp*logq = 22.22820111439110702 -------------- ************************************* p = 61; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4845349623.074241020 -------------- Searches starting with [61,227]-exponents: u = 29, v = 3 n_start has 59 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(61,227) = 0.7681115784812423930 D2(61,227) = 0.02434150249635224028 C1(61,227) = 0.9817989777752464939 C2(61,227) = 1.679725504557041693 C3(61,227) = 4.006451799150904515 C4(61,227) = 1816 Sum = 4774.967695176707780 Averaged sum = 0.4770674088497060425 logp*logq = 22.30128524131084623 -------------- ************************************* p = 61; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5023264055.402827269 -------------- Searches starting with [61,229]-exponents: u = 37, v = 3 n_start has 74 digits starting right neighbors generation We generated 455 left neighbors We generated 9555 right neighbors We generated 10009 non-negative rho_i D1(61,229) = 0.6633380654967298098 D2(61,229) = 0.03645768459671633861 C1(61,229) = 0.8609647687627380523 C2(61,229) = 1.636302047257721773 C3(61,229) = 3.377346928680097561 C4(61,229) = 1832 Sum = 4646.500052854776581 Averaged sum = 0.4642321963087997384 logp*logq = 22.33734576959456402 -------------- ************************************* p = 61; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5393883758.950463122 -------------- Searches starting with [61,233]-exponents: u = 57, v = 3 n_start has 109 digits starting right neighbors generation We generated 970 left neighbors We generated 9040 right neighbors We generated 10009 non-negative rho_i D1(61,233) = 0.7524303772996433707 D2(61,233) = 0.03123480869402329365 C1(61,233) = 1.011177897610110974 C2(61,233) = 1.517054013389986140 C3(61,233) = 4.176347660713519579 C4(61,233) = 1864 Sum = 5072.476120139494034 Averaged sum = 0.5067914996642515769 logp*logq = 22.40853151136694234 -------------- ************************************* p = 61; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5988165152.689875201 -------------- Searches starting with [61,239]-exponents: u = 385, v = 3 n_start has 695 digits --- performed 5000 steps in the continued fraction search [61,239]-exponents: u = 334, v = 28 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,239) = 0.6050237805998877416 D2(61,239) = 0.2617848503672725328 C1(61,239) = 0.7486905387279698802 C2(61,239) = 1.298998947622088053 C3(61,239) = 2.881686224966052662 C4(61,239) = 1912 Sum = 5781.657494307880446 Averaged sum = 0.5782235717879668412 logp*logq = 22.51305088373298666 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,239) = 0.6050237805998877416 D2(61,239) = 0.2617848503672725328 C1(61,239) = 0.7486905387279698802 C2(61,239) = 1.298998947622088053 C3(61,239) = 2.881686224966052662 C4(61,239) = 1912 Sum = 5781.657494307880446 Averaged sum = 0.5782235717879668412 logp*logq = 22.51305088373298666 -------------- ************************************* p = 61; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6196858854.138959728 -------------- Searches starting with [61,241]-exponents: u = 4, v = 377 n_start has 906 digits --- performed 5000 steps in the continued fraction search [61,241]-exponents: u = 128, v = 274 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,241) = 0.8911267972631484317 D2(61,241) = 0.3320859924554324238 C1(61,241) = 1.093636311823276441 C2(61,241) = 1.328852835894503894 C3(61,241) = 4.692677199794124897 C4(61,241) = 1928 Sum = 5918.944946369269459 Averaged sum = 0.5919536900059275386 logp*logq = 22.54730836418465692 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,241) = 0.8911267972631484317 D2(61,241) = 0.3320859924554324238 C1(61,241) = 1.093636311823276441 C2(61,241) = 1.328852835894503894 C3(61,241) = 4.692677199794124897 C4(61,241) = 1928 Sum = 5918.944946369269459 Averaged sum = 0.5919536900059275386 logp*logq = 22.54730836418465692 -------------- ************************************* p = 61; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7324128987.306130269 -------------- Searches starting with [61,251]-exponents: u = 4, v = 29 n_start has 77 digits starting right neighbors generation We generated 478 left neighbors We generated 9532 right neighbors We generated 10009 non-negative rho_i D1(61,251) = 0.7751057977012710697 D2(61,251) = 0.03309806200464740380 C1(61,251) = 1.002041582808538438 C2(61,251) = 1.629131018457335646 C3(61,251) = 4.122755205761954133 C4(61,251) = 2008 Sum = 4923.941107687527979 Averaged sum = 0.4919513545496581056 logp*logq = 22.71444007519645638 -------------- ************************************* p = 61; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8071069575.679641722 -------------- Searches starting with [61,257]-exponents: u = 4, v = 20 n_start has 56 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(61,257) = 0.9365960779390010132 D2(61,257) = 0.03268509240942533723 C1(61,257) = 1.338329942277848212 C2(61,257) = 1.752212482502786646 C3(61,257) = 6.632029621755310084 C4(61,257) = 2056 Sum = 2927.344103490502335 Averaged sum = 0.2924711862813969762 logp*logq = 22.81155184770492155 -------------- ************************************* p = 61; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8874274105.448986812 -------------- Searches starting with [61,263]-exponents: u = 4, v = 14 n_start has 42 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(61,263) = 0.7428522838745634832 D2(61,263) = 0.02470192523740401702 C1(61,263) = 0.9983062745208222890 C2(61,263) = 1.837745672548246710 C3(61,263) = 4.101042928844960618 C4(61,263) = 2104 Sum = 4771.903390567929993 Averaged sum = 0.4767612539282575674 logp*logq = 22.90642237802750427 -------------- ************************************* p = 61; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9736551028.081619171 -------------- Searches starting with [61,269]-exponents: u = 4, v = 11 n_start has 34 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(61,269) = 0.7071286894829138950 D2(61,269) = 0.1260827929204720454 C1(61,269) = 0.9639884178680621556 C2(61,269) = 1.943046818825147544 C3(61,269) = 3.906838071659560305 C4(61,269) = 2152 Sum = 4463.607648083799100 Averaged sum = 0.4459594013471674593 logp*logq = 22.99915278799820953 -------------- ************************************* p = 61; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10037599658.09933539 -------------- Searches starting with [61,271]-exponents: u = 4, v = 11 n_start has 34 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(61,271) = 0.8456060419567721289 D2(61,271) = 0.1284874396637635710 C1(61,271) = 1.087856551689672029 C2(61,271) = 1.322191447773562009 C3(61,271) = 4.654492006860317042 C4(61,271) = 2168 Sum = 4658.652365432262010 Averaged sum = 0.4654463348418685193 logp*logq = 23.02960384474777013 -------------- ************************************* p = 61; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10983133093.74576571 -------------- Searches starting with [61,277]-exponents: u = 4, v = 8 n_start has 27 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(61,277) = 0.7752627775814636776 D2(61,277) = 0.01917801680592766837 C1(61,277) = 1.111662307453945770 C2(61,277) = 1.971658913049466006 C3(61,277) = 4.813793490308667099 C4(61,277) = 2216 Sum = 4456.225774300470282 Averaged sum = 0.4452218777400809553 logp*logq = 23.11962657783869362 -------------- ************************************* p = 61; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11649916471.49483726 -------------- Searches starting with [61,281]-exponents: u = 4, v = 8 n_start has 27 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(61,281) = 0.7339193331902008868 D2(61,281) = 0.05849579033459730395 C1(61,281) = 1.001922599436996661 C2(61,281) = 2.013649509487771426 C3(61,281) = 4.122061820226715543 C4(61,281) = 2248 Sum = 3866.363127942539277 Averaged sum = 0.3862886530065480344 logp*logq = 23.17856484710364805 -------------- ************************************* p = 61; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11994572624.10629696 -------------- Searches starting with [61,283]-exponents: u = 4, v = 8 n_start has 27 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(61,283) = 0.7489159933894423492 D2(61,283) = 0.07486196404194691050 C1(61,283) = 1.190654251686577591 C2(61,283) = 1.357018612718813212 C3(61,283) = 5.382490940721789081 C4(61,283) = 2264 Sum = 4988.352868185811606 Averaged sum = 0.4983867387537028280 logp*logq = 23.20772010309988820 -------------- ************************************* p = 61; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13835078475.33217142 -------------- Searches starting with [61,293]-exponents: u = 11, v = 5 n_start has 32 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(61,293) = 0.7086617519123745352 D2(61,293) = 0.04871786438545465609 C1(61,293) = 0.9399856289637716694 C2(61,293) = 1.915708709483873563 C3(61,293) = 3.776498176903964238 C4(61,293) = 2344 Sum = 4554.231145055326676 Averaged sum = 0.4550136022634955216 logp*logq = 23.35047312240139053 -------------- ************************************* p = 61; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16761471553.30732860 -------------- Searches starting with [61,307]-exponents: u = 39, v = 5 n_start has 83 digits starting right neighbors generation We generated 696 left neighbors We generated 9314 right neighbors We generated 10009 non-negative rho_i D1(61,307) = 0.8369377053432326684 D2(61,307) = 0.04560522411292086956 C1(61,307) = 1.059821325587400475 C2(61,307) = 1.768709782910496926 C3(61,307) = 4.473634573419218472 C4(61,307) = 2456 Sum = 4269.370629648072777 Averaged sum = 0.4265531651162026952 logp*logq = 23.54234872965600498 -------------- ************************************* p = 61; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17677609371.06905067 -------------- Searches starting with [61,311]-exponents: u = 74, v = 5 n_start has 145 digits starting right neighbors generation We generated 2214 left neighbors We generated 7796 right neighbors We generated 10009 non-negative rho_i D1(61,311) = 0.9502895136562137963 D2(61,311) = 0.03096447584776719208 C1(61,311) = 1.262404475072850090 C2(61,311) = 1.659665384365817194 C3(61,311) = 5.957077086373432922 C4(61,311) = 2488 Sum = 4370.165546759924183 Averaged sum = 0.4366235934418947130 logp*logq = 23.59556466844483156 -------------- ************************************* p = 61; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18149639119.21601275 -------------- Searches starting with [61,313]-exponents: u = 123, v = 5 n_start has 233 digits --- performed 5000 steps in the continued fraction search [61,313]-exponents: u = 23, v = 13 --- starting right neighbors generation We generated 5815 left neighbors We generated 4195 right neighbors We generated 10009 non-negative rho_i D1(61,313) = 0.6501441271363291492 D2(61,313) = 0.01352811783179450064 C1(61,313) = 0.8389610346013833222 C2(61,313) = 1.574460021339161110 C3(61,313) = 3.273910711020444524 C4(61,313) = 2504 Sum = 5041.721727948006558 Averaged sum = 0.5037188258515342749 logp*logq = 23.62191651422080955 -------------- ************************************* p = 61; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19122257134.57000289 -------------- Searches starting with [61,317]-exponents: u = 7, v = 222 n_start has 568 digits **************************************************** Computing .... elapsed time = 10 minutes **************************************************** --- performed 5000 steps in the continued fraction search [61,317]-exponents: u = 142, v = 109 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,317) = 0.7249874006786580555 D2(61,317) = 0.2760937845844437180 C1(61,317) = 0.9035424133652275994 C2(61,317) = 1.391840989302985114 C3(61,317) = 3.586869240509906767 C4(61,317) = 2536 Sum = 5581.430056783756722 Averaged sum = 0.5581988255609317653 logp*logq = 23.67411878857343328 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,317) = 0.7249874006786580555 D2(61,317) = 0.2760937845844437180 C1(61,317) = 0.9035424133652275994 C2(61,317) = 1.391840989302985114 C3(61,317) = 3.586869240509906767 C4(61,317) = 2536 Sum = 5581.430056783756722 Averaged sum = 0.5581988255609317653 logp*logq = 23.67411878857343328 -------------- ************************************* p = 61; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22839944371.94725094 -------------- Searches starting with [61,331]-exponents: u = 7, v = 17 n_start has 56 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(61,331) = 0.8010478373486601015 D2(61,331) = 0.1000035108862157636 C1(61,331) = 1.157391682943536580 C2(61,331) = 1.858152742386860511 C3(61,331) = 5.135258151278325372 C4(61,331) = 2648 Sum = 4311.803403214319017 Averaged sum = 0.4307926269571704483 logp*logq = 23.85177678617728141 -------------- ************************************* p = 61; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24590519162.64792594 -------------- Searches starting with [61,337]-exponents: u = 7, v = 12 n_start has 43 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(61,337) = 0.7311748473272074637 D2(61,337) = 0.0003086900186094977882 C1(61,337) = 1.096076383116707040 C2(61,337) = 1.763028655058385789 C3(61,337) = 4.708891937011507534 C4(61,337) = 2696 Sum = 4479.596193431466839 Averaged sum = 0.4475568182067605994 logp*logq = 23.92562680570674197 -------------- ************************************* p = 61; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27731543615.96272453 -------------- Searches starting with [61,347]-exponents: u = 7, v = 7 n_start has 31 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(61,347) = 0.7777297230482140318 D2(61,347) = 0.02984421242999594717 C1(61,347) = 1.082213592847544042 C2(61,347) = 1.968248933647433692 C3(61,347) = 4.617510414965687706 C4(61,347) = 2776 Sum = 4228.529475778268249 Averaged sum = 0.4224727221279117044 logp*logq = 24.04583636094484855 -------------- ************************************* p = 61; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28394523750.59256887 -------------- Searches starting with [61,349]-exponents: u = 7, v = 7 n_start has 31 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(61,349) = 0.9620010109355136768 D2(61,349) = 0.03586355128639775019 C1(61,349) = 1.315213157833820898 C2(61,349) = 1.975399795306711175 C3(61,349) = 6.418806354262933284 C4(61,349) = 2792 Sum = 3911.424119020881434 Averaged sum = 0.3907907002718434842 logp*logq = 24.06946213783694897 -------------- ************************************* p = 61; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29756404118.36041180 -------------- Searches starting with [61,353]-exponents: u = 7, v = 7 n_start has 31 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(61,353) = 0.8382008918803035055 D2(61,353) = 0.04680680195910063054 C1(61,353) = 1.353037561582945686 C2(61,353) = 1.304934267925405230 C3(61,353) = 6.771360987992018668 C4(61,353) = 2824 Sum = 4924.723668493456648 Averaged sum = 0.4920295402631088668 logp*logq = 24.11631021025467858 -------------- ************************************* p = 61; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31891209399.32222583 -------------- Searches starting with [61,359]-exponents: u = 10, v = 2 n_start has 23 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(61,359) = 0.6886628440562694644 D2(61,359) = 0.02879701837974001534 C1(61,359) = 1.111456482773198639 C2(61,359) = 2.147436223036385364 C3(61,359) = 4.812393067397984133 C4(61,359) = 2872 Sum = 4776.545871738809266 Averaged sum = 0.4772250845977429579 logp*logq = 24.18559624134216604 -------------- ************************************* p = 61; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34915534427.37176016 -------------- Searches starting with [61,367]-exponents: u = 10, v = 2 n_start has 23 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(61,367) = 0.5961864534283124907 D2(61,367) = 0.07821569927877175178 C1(61,367) = 0.8650350859669384267 C2(61,367) = 1.730382059376990727 C3(61,367) = 3.396836014317365713 C4(61,367) = 2936 Sum = 4710.796499315438064 Averaged sum = 0.4706560594780135941 logp*logq = 24.27619767965373781 -------------- ************************************* p = 61; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37322491082.70193952 -------------- Searches starting with [61,373]-exponents: u = 10, v = 2 n_start has 23 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(61,373) = 0.9274098782307993747 D2(61,373) = 0.1036584918151798942 C1(61,373) = 1.200779067661546571 C2(61,373) = 1.907633057269854472 C3(61,373) = 5.460083418285778676 C4(61,373) = 2984 Sum = 4836.853925674091918 Averaged sum = 0.4832504671469769126 logp*logq = 24.34286195996646165 -------------- ************************************* p = 61; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39852955420.39578209 -------------- Searches starting with [61,379]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(61,379) = 1.418479459784982071 D2(61,379) = 0.07037096288903830745 C1(61,379) = 2.200274545961371365 C2(61,379) = 1.088633707916661783 C3(61,379) = 22.42971142334368033 C4(61,379) = 3032 Sum = 4040.429497210333232 Averaged sum = 0.4036796380467912111 logp*logq = 24.40846240305613226 -------------- ************************************* p = 61; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41610633320.24771101 -------------- Searches starting with [61,383]-exponents: u = 13, v = 2 n_start has 29 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(61,383) = 0.7093758554273333920 D2(61,383) = 0.09078737331214135027 C1(61,383) = 0.9470336702159751653 C2(61,383) = 2.091462201238671985 C3(61,383) = 3.814312863983294559 C4(61,383) = 3064 Sum = 4768.477668509881273 Averaged sum = 0.4764189897602039437 logp*logq = 24.45162158021110175 -------------- ************************************* p = 61; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44356383085.24322372 -------------- Searches starting with [61,389]-exponents: u = 13, v = 2 n_start has 29 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(61,389) = 0.8488555939754561199 D2(61,389) = 0.02917914990898768206 C1(61,389) = 1.107765252619895076 C2(61,389) = 2.033587616280949079 C3(61,389) = 4.787347140697817062 C4(61,389) = 3112 Sum = 4727.497676809178901 Averaged sum = 0.4723246754729921971 logp*logq = 24.51552246060490144 -------------- ************************************* p = 61; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48228080008.09731960 -------------- Searches starting with [61,397]-exponents: u = 16, v = 2 n_start has 34 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(61,397) = 0.7129864347052487765 D2(61,397) = 0.1308852645219259338 C1(61,397) = 1.076510608379180523 C2(61,397) = 1.416936534309737338 C3(61,397) = 4.580433968651234106 C4(61,397) = 3176 Sum = 4382.973452647089039 Averaged sum = 0.4379032323555888739 logp*logq = 24.59920726115542250 -------------- ************************************* p = 61; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50257185785.95706662 -------------- Searches starting with [61,401]-exponents: u = 16, v = 2 n_start has 34 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(61,401) = 0.7357732225691575657 D2(61,401) = 0.1001027851809072601 C1(61,401) = 0.9276574626730621585 C2(61,401) = 2.015750005493755936 C3(61,401) = 3.711253302528922906 C4(61,401) = 3208 Sum = 4186.836195822032142 Averaged sum = 0.4183071431533651855 logp*logq = 24.64041937437753212 -------------- ************************************* p = 61; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54508607480.07143758 -------------- Searches starting with [61,409]-exponents: u = 19, v = 2 n_start has 40 digits starting right neighbors generation We generated 108 left neighbors We generated 9902 right neighbors We generated 10009 non-negative rho_i D1(61,409) = 0.6891317019139126128 D2(61,409) = 0.005282874297423808292 C1(61,409) = 0.9120875080026261968 C2(61,409) = 1.925484227168453386 C3(61,409) = 3.630460117456892983 C4(61,409) = 3272 Sum = 4250.534627187250081 Averaged sum = 0.4246712585859976103 logp*logq = 24.72162446155927985 -------------- ************************************* p = 61; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60199251760.71765598 -------------- Searches starting with [61,419]-exponents: u = 22, v = 2 n_start has 45 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(61,419) = 1.355152102092495542 D2(61,419) = 0.02368303631744023741 C1(61,419) = 1.852715179379043606 C2(61,419) = 1.875916113089011046 C3(61,419) = 13.72287543865014026 C4(61,419) = 3352 Sum = 5718.575098592097758 Averaged sum = 0.5713433008884102066 logp*logq = 24.82092575995998386 -------------- ************************************* p = 61; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61389299813.87757138 -------------- Searches starting with [61,421]-exponents: u = 22, v = 2 n_start has 45 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(61,421) = 0.7115378247821106477 D2(61,421) = 0.1263102493839711173 C1(61,421) = 0.9209155956598309260 C2(61,421) = 1.920921416297290678 C3(61,421) = 3.676051056624641480 C4(61,421) = 3368 Sum = 4599.524460032308666 Averaged sum = 0.4595388610283053918 logp*logq = 24.84050138678041689 -------------- ************************************* p = 61; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67608882200.18210230 -------------- Searches starting with [61,431]-exponents: u = 28, v = 2 n_start has 56 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(61,431) = 0.8488546164356691499 D2(61,431) = 0.06548824396490844751 C1(61,431) = 1.099068030630743476 C2(61,431) = 1.816708015463941988 C3(61,431) = 4.728848478919040436 C4(61,431) = 3448 Sum = 4769.287161108197031 Averaged sum = 0.4764998662312116127 logp*logq = 24.93700520485777860 -------------- ************************************* p = 61; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68907927217.05009526 -------------- Searches starting with [61,433]-exponents: u = 31, v = 2 n_start has 61 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(61,433) = 0.9595661106279117889 D2(61,433) = 0.03183776036073417961 C1(61,433) = 1.239587673430325066 C2(61,433) = 1.784036209693282365 C3(61,433) = 5.767999396669046415 C4(61,433) = 3464 Sum = 4986.015523445578661 Averaged sum = 0.4981532144515514697 logp*logq = 24.95603706229630358 -------------- ************************************* p = 61; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72918601920.55431097 -------------- Searches starting with [61,439]-exponents: u = 37, v = 2 n_start has 72 digits starting right neighbors generation We generated 330 left neighbors We generated 9680 right neighbors We generated 10009 non-negative rho_i D1(61,439) = 0.9125127884726092053 D2(61,439) = 0.01214482811459903705 C1(61,439) = 1.269751755736427462 C2(61,439) = 1.726235356462832871 C3(61,439) = 6.019271969594331991 C4(61,439) = 3512 Sum = 2961.667155392654261 Averaged sum = 0.2959004051746082786 logp*logq = 25.01260961378857396 -------------- ************************************* p = 61; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75688850953.35460722 -------------- Searches starting with [61,443]-exponents: u = 40, v = 2 n_start has 77 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(61,443) = 0.6536774341869844801 D2(61,443) = 0.008220963157311272179 C1(61,443) = 0.8447473258296017369 C2(61,443) = 1.688851917954295510 C3(61,443) = 3.300800166758726593 C4(61,443) = 3544 Sum = 4774.898535080276014 Averaged sum = 0.4770604990588746142 logp*logq = 25.04989670719512238 -------------- ************************************* p = 61; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79992664776.90988970 -------------- Searches starting with [61,449]-exponents: u = 49, v = 2 n_start has 93 digits starting right neighbors generation We generated 521 left neighbors We generated 9489 right neighbors We generated 10009 non-negative rho_i D1(61,449) = 0.7307573355042953820 D2(61,449) = 0.0005292341648297819159 C1(61,449) = 0.9922063116127047947 C2(61,449) = 1.625604191746383356 C3(61,449) = 4.065831159473419485 C4(61,449) = 3592 Sum = 4735.498771273980568 Averaged sum = 0.4731240654684764280 logp*logq = 25.10520077712785491 -------------- ************************************* p = 61; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86016147565.41877602 -------------- Searches starting with [61,457]-exponents: u = 73, v = 2 n_start has 136 digits starting right neighbors generation We generated 1134 left neighbors We generated 8876 right neighbors We generated 10009 non-negative rho_i D1(61,457) = 0.7269540659785613125 D2(61,457) = 0.004272414841352096218 C1(61,457) = 0.9664734413391246924 C2(61,457) = 1.530832573227377146 C3(61,457) = 3.920586606899434303 C4(61,457) = 3656 Sum = 3949.167993746852346 Averaged sum = 0.3945616938502200366 logp*logq = 25.17780087796335822 -------------- ************************************* p = 61; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89153524371.63104045 -------------- Searches starting with [61,461]-exponents: u = 91, v = 2 n_start has 168 digits starting right neighbors generation We generated 1587 left neighbors We generated 8423 right neighbors We generated 10009 non-negative rho_i D1(61,461) = 0.6722722744316971186 D2(61,461) = 0.01935413787189376299 C1(61,461) = 0.8814503846656054054 C2(61,461) = 1.479247210078668200 C3(61,461) = 3.476582132632657750 C4(61,461) = 3688 Sum = 4999.271414786082251 Averaged sum = 0.4994776116281428964 logp*logq = 25.21362571352665751 -------------- ************************************* p = 61; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90754303646.83499725 -------------- Searches starting with [61,463]-exponents: u = 106, v = 2 n_start has 195 digits starting right neighbors generation We generated 2194 left neighbors We generated 7816 right neighbors We generated 10009 non-negative rho_i D1(61,463) = 0.7752332709187619450 D2(61,463) = 0.01358999885866950831 C1(61,463) = 0.9792869719388910275 C2(61,463) = 1.442455185232882531 C3(61,463) = 3.992249875529762251 C4(61,463) = 3704 Sum = 4472.615184226695664 Averaged sum = 0.4468593450121586237 logp*logq = 25.23142173207255120 -------------- ************************************* p = 61; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94021028905.26595273 -------------- Searches starting with [61,467]-exponents: u = 151, v = 2 n_start has 275 digits starting right neighbors generation We generated 4384 left neighbors We generated 5626 right neighbors We generated 10009 non-negative rho_i D1(61,467) = 0.9189118750964229852 D2(61,467) = 0.005450336011397917624 C1(61,467) = 1.176807422181419071 C2(61,467) = 1.357987209315130168 C3(61,467) = 5.278156535104638835 C4(61,467) = 3736 Sum = 5261.861392276591566 Averaged sum = 0.5257129975298822625 logp*logq = 25.26678430595481952 -------------- ************************************* p = 61; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104356909547.9646455 -------------- Searches starting with [61,479]-exponents: u = 3, v = 381 n_start has 1027 digits --- performed 5000 steps in the continued fraction search [61,479]-exponents: u = 290, v = 181 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,479) = 0.8055196291506154942 D2(61,479) = 0.2931533878217337973 C1(61,479) = 0.9848685759198093097 C2(61,479) = 1.361846010432595571 C3(61,479) = 4.023874742857799811 C4(61,479) = 3832 Sum = 5834.202043681760533 Averaged sum = 0.5834785522233983931 logp*logq = 25.37108268339934265 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,479) = 0.8055196291506154942 D2(61,479) = 0.2931533878217337973 C1(61,479) = 0.9848685759198093097 C2(61,479) = 1.361846010432595571 C3(61,479) = 4.023874742857799811 C4(61,479) = 3832 Sum = 5834.202043681760533 Averaged sum = 0.5834785522233983931 logp*logq = 25.37108268339934265 -------------- ************************************* p = 61; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111710132225.8906643 -------------- Searches starting with [61,487]-exponents: u = 3, v = 93 n_start has 256 digits starting right neighbors generation We generated 3807 left neighbors We generated 6203 right neighbors We generated 10009 non-negative rho_i D1(61,487) = 0.6731153426236590186 D2(61,487) = 0.006994274834893640328 C1(61,487) = 0.8656716541369984840 C2(61,487) = 1.384466642962204099 C3(61,487) = 3.399894119380641039 C4(61,487) = 3896 Sum = 4828.041891422038568 Averaged sum = 0.4823700560917213076 logp*logq = 25.43917324818159327 -------------- ************************************* p = 61; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115530478563.1451900 -------------- Searches starting with [61,491]-exponents: u = 3, v = 67 n_start has 186 digits starting right neighbors generation We generated 1922 left neighbors We generated 8088 right neighbors We generated 10009 non-negative rho_i D1(61,491) = 0.6153361792212394217 D2(61,491) = 0.01940328755471830595 C1(61,491) = 0.8026290154928715545 C2(61,491) = 1.465618481919135882 C3(61,491) = 3.110006977947866220 C4(61,491) = 3928 Sum = 4943.912255240020311 Averaged sum = 0.4939466735178359787 logp*logq = 25.47280021576068408 -------------- ************************************* p = 61; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 123467034150.7318890 -------------- Searches starting with [61,499]-exponents: u = 3, v = 43 n_start has 122 digits starting right neighbors generation We generated 802 left neighbors We generated 9208 right neighbors We generated 10009 non-negative rho_i D1(61,499) = 0.6332004237551830429 D2(61,499) = 0.02840109686938781262 C1(61,499) = 0.8453376538026385716 C2(61,499) = 1.583303784892601045 C3(61,499) = 3.303555862726104883 C4(61,499) = 3992 Sum = 4742.875404211387607 Averaged sum = 0.4738610654622227602 logp*logq = 25.53924002742871404 -------------- ************************************* p = 61; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 127586646355.7725855 -------------- Searches starting with [61,503]-exponents: u = 3, v = 37 n_start has 106 digits starting right neighbors generation We generated 597 left neighbors We generated 9413 right neighbors We generated 10009 non-negative rho_i D1(61,503) = 0.6878583080776042762 D2(61,503) = 0.04195170177389461131 C1(61,503) = 0.8927887439396560302 C2(61,503) = 1.636213062994253581 C3(61,503) = 3.532754838059479232 C4(61,503) = 4024 Sum = 4676.679858488318337 Averaged sum = 0.4672474631320130220 logp*logq = 25.57206154999643043 -------------- ************************************* p = 61; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 133960077185.6203922 -------------- Searches starting with [61,509]-exponents: u = 3, v = 31 n_start has 90 digits starting right neighbors generation We generated 492 left neighbors We generated 9518 right neighbors We generated 10009 non-negative rho_i D1(61,509) = 0.9992405197421138164 D2(61,509) = 0.01082742441503027724 C1(61,509) = 1.366128230295596872 C2(61,509) = 1.680201489437985586 C3(61,509) = 6.897834588297250544 C4(61,509) = 4072 Sum = 3327.871733176872030 Averaged sum = 0.3324879341769279679 logp*logq = 25.62080766105633673 -------------- ************************************* p = 61; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147427054914.2009450 -------------- Searches starting with [61,521]-exponents: u = 3, v = 21 n_start has 63 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(61,521) = 1.287319237205452554 D2(61,521) = 0.07220251734911901422 C1(61,521) = 1.799167951563579384 C2(61,521) = 1.810748889507548263 C3(61,521) = 12.72244697372931030 C4(61,521) = 4168 Sum = 6019.180998438283445 Averaged sum = 0.6013768606692260411 logp*logq = 25.71659934744501665 -------------- ************************************* p = 61; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149767486931.0297500 -------------- Searches starting with [61,523]-exponents: u = 3, v = 21 n_start has 63 digits starting right neighbors generation We generated 231 left neighbors We generated 9779 right neighbors We generated 10009 non-negative rho_i D1(61,523) = 0.8834425627836560048 D2(61,523) = 0.01599462195281057615 C1(61,523) = 1.180461513486385371 C2(61,523) = 1.795708368431441265 C3(61,523) = 5.305491675621318279 C4(61,523) = 4184 Sum = 4894.032297782728868 Averaged sum = 0.4889631629316344158 logp*logq = 25.73234984128820263 -------------- ************************************* p = 61; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172119153994.0064261 -------------- Searches starting with [61,541]-exponents: u = 3, v = 15 n_start has 47 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(61,541) = 0.6376644662792771715 D2(61,541) = 0.01651952803719845227 C1(61,541) = 0.8246712197260673194 C2(61,541) = 1.907516291807283727 C3(61,541) = 3.208439285645503320 C4(61,541) = 4328 Sum = 4564.653323103062469 Averaged sum = 0.4560548829156821330 logp*logq = 25.87145282969444931 -------------- ************************************* p = 61; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180102831332.3798942 -------------- Searches starting with [61,547]-exponents: u = 3, v = 13 n_start has 41 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(61,547) = 0.8986397399977773695 D2(61,547) = 0.07763580548398996551 C1(61,547) = 1.303790910101473748 C2(61,547) = 1.970448462540647323 C3(61,547) = 6.315994830884125848 C4(61,547) = 4376 Sum = 3957.715701501509672 Averaged sum = 0.3954156960237296105 logp*logq = 25.91679380989525433 -------------- ************************************* p = 61; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 194027977464.7441668 -------------- Searches starting with [61,557]-exponents: u = 3, v = 13 n_start has 42 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(61,557) = 0.9662406198623629476 D2(61,557) = 0.02108849364781043371 C1(61,557) = 1.211372470118797606 C2(61,557) = 1.989250246640052337 C3(61,557) = 5.542464618504822028 C4(61,557) = 4456 Sum = 4320.932969899602181 Averaged sum = 0.4317047627035270438 logp*logq = 25.99126819934773282 -------------- ************************************* p = 61; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 202765038095.0890338 -------------- Searches starting with [61,563]-exponents: u = 3, v = 11 n_start has 36 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(61,563) = 0.8167063087830911274 D2(61,563) = 0.07115225504756350119 C1(61,563) = 1.102264184930861120 C2(61,563) = 2.041132338192631292 C3(61,563) = 4.750262691070813778 C4(61,563) = 4504 Sum = 4696.185713166734659 Averaged sum = 0.4691962946514871274 logp*logq = 26.03531369782072074 -------------- ************************************* p = 61; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 211796612069.3525344 -------------- Searches starting with [61,569]-exponents: u = 3, v = 11 n_start has 36 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(61,569) = 0.8510851699334400006 D2(61,569) = 0.1275859425312665860 C1(61,569) = 1.100266719914062675 C2(61,569) = 2.099364842942058354 C3(61,569) = 4.736868352318118774 C4(61,569) = 4552 Sum = 4759.723917740280544 Averaged sum = 0.4755444018123968972 logp*logq = 26.07889227409037330 -------------- ************************************* p = 61; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 214873733758.4973350 -------------- Searches starting with [61,571]-exponents: u = 3, v = 11 n_start has 36 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(61,571) = 0.6491144281249470053 D2(61,571) = 0.1372086525926670817 C1(61,571) = 0.8462841551219624396 C2(61,571) = 1.531705692073659582 C3(61,571) = 3.307979005286293957 C4(61,571) = 4568 Sum = 4705.614762654603506 Averaged sum = 0.4701383517488863528 logp*logq = 26.09331640771058278 -------------- ************************************* p = 61; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 224308372703.7441756 -------------- Searches starting with [61,577]-exponents: u = 3, v = 9 n_start has 31 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(61,577) = 0.6927777808855985670 D2(61,577) = 0.1484990161583852576 C1(61,577) = 1.038440190415443071 C2(61,577) = 1.491030344759300922 C3(61,577) = 4.340441397910766480 C4(61,577) = 4616 Sum = 4370.820559687826109 Averaged sum = 0.4366890358365297341 logp*logq = 26.13628760592455462 -------------- ************************************* p = 61; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 240725451411.4904202 -------------- Searches starting with [61,587]-exponents: u = 3, v = 9 n_start has 31 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(61,587) = 0.7098106594223655418 D2(61,587) = 0.05102258307610711509 C1(61,587) = 0.9245443187665934687 C2(61,587) = 2.122539635298750379 C3(61,587) = 3.694956515401767777 C4(61,587) = 4696 Sum = 4729.146332271728024 Averaged sum = 0.4724893927736764935 logp*logq = 26.20692291528749418 -------------- ************************************* p = 61; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 251002509115.8105275 -------------- Searches starting with [61,593]-exponents: u = 3, v = 9 n_start has 31 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(61,593) = 0.8004963437519827396 D2(61,593) = 0.09177453661621697475 C1(61,593) = 1.064246686733824166 C2(61,593) = 2.165085948299805782 C3(61,593) = 4.501708674175333727 C4(61,593) = 4744 Sum = 4114.552103521982509 Averaged sum = 0.4110852336419205224 logp*logq = 26.24872877250556337 -------------- ************************************* p = 61; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 261608188656.6951453 -------------- Searches starting with [61,599]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(61,599) = 1.300859472330795620 D2(61,599) = 0.07082343801731046578 C1(61,599) = 1.997676958057867107 C2(61,599) = 1.147568516455123196 C3(61,599) = 16.84387880295616459 C4(61,599) = 4792 Sum = 3819.471719405095801 Averaged sum = 0.3816037285847832751 logp*logq = 26.29011375824404316 -------------- ************************************* p = 61; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 265217659872.5945616 -------------- Searches starting with [61,601]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(61,601) = 0.8220124504438102649 D2(61,601) = 0.09348039571210537052 C1(61,601) = 1.262331071430835178 C2(61,601) = 1.365889330193298135 C3(61,601) = 5.956458976362478977 C4(61,601) = 4808 Sum = 4535.151966635593325 Averaged sum = 0.4531074000035561320 logp*logq = 26.30381668381252431 -------------- ************************************* p = 61; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 276272494624.6237838 -------------- Searches starting with [61,607]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(61,607) = 0.7960998441678607698 D2(61,607) = 0.1045858298253381829 C1(61,607) = 1.079553838287050844 C2(61,607) = 1.982197917583385080 C3(61,607) = 4.600181525724878973 C4(61,607) = 4856 Sum = 4632.151932389233617 Averaged sum = 0.4627986744319346205 logp*logq = 26.34465351496867840 -------------- ************************************* p = 61; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287672542751.2426059 -------------- Searches starting with [61,613]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(61,613) = 0.6529812660638154231 D2(61,613) = 0.09341282536814014423 C1(61,613) = 0.8586315555660349672 C2(61,613) = 1.972933817902686381 C3(61,613) = 3.366225731081134282 C4(61,613) = 4904 Sum = 4652.859974641673348 Averaged sum = 0.4648676166092190377 logp*logq = 26.38508866586658066 -------------- ************************************* p = 61; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 295467933287.1251876 -------------- Searches starting with [61,617]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(61,617) = 0.7845381124870834187 D2(61,617) = 0.07920563021727230488 C1(61,617) = 1.129084185484812116 C2(61,617) = 1.807192309326374709 C3(61,617) = 4.933820455190366158 C4(61,617) = 4936 Sum = 4224.748689510506441 Averaged sum = 0.4220949834659313059 logp*logq = 26.41182615110935205 -------------- ************************************* p = 61; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 299425046666.5218776 -------------- Searches starting with [61,619]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(61,619) = 0.7733542323190150206 D2(61,619) = 0.07596166123029106781 C1(61,619) = 1.018786620227938157 C2(61,619) = 1.804556210523329378 C3(61,619) = 4.221510745533695634 C4(61,619) = 4952 Sum = 4860.084111485300657 Averaged sum = 0.4855713968913278706 logp*logq = 26.42512996163376219 -------------- ************************************* p = 61; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 324016787494.8015189 -------------- Searches starting with [61,631]-exponents: u = 3, v = 7 n_start has 25 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(61,631) = 0.6248767621299441678 D2(61,631) = 0.02267974972428650157 C1(61,631) = 0.9935626246332228108 C2(61,631) = 2.238491726752185919 C3(61,631) = 4.073634187414855624 C4(61,631) = 5048 Sum = 4386.858852046727102 Averaged sum = 0.4382914229240410732 logp*logq = 26.50406116465204042 -------------- ************************************* p = 61; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 345652190909.3741444 -------------- Searches starting with [61,641]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(61,641) = 1.003412499290633125 D2(61,641) = 0.03640175517351677977 C1(61,641) = 1.594956121560723381 C2(61,641) = 1.235265988024113530 C3(61,641) = 9.532307263243890697 C4(61,641) = 5128 Sum = 4496.325135700137333 Averaged sum = 0.4492282081826493488 logp*logq = 26.56869887783741209 -------------- ************************************* p = 61; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 350107241516.5230501 -------------- Searches starting with [61,643]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(61,643) = 0.8173891718090683885 D2(61,643) = 0.04607544318592769229 C1(61,643) = 1.299266118566372090 C2(61,643) = 1.378477123253647829 C3(61,643) = 6.275724091746589278 C4(61,643) = 5144 Sum = 4805.626130032854536 Averaged sum = 0.4801304955572838981 logp*logq = 26.58150534883057248 -------------- ************************************* p = 61; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 359147578071.3447702 -------------- Searches starting with [61,647]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(61,647) = 0.9490212448784187429 D2(61,647) = 0.04026725942287342391 C1(61,647) = 1.260720698725507145 C2(61,647) = 2.074148345446100444 C3(61,647) = 5.942914637846518578 C4(61,647) = 5176 Sum = 4174.184915480335959 Averaged sum = 0.4170431527105940613 logp*logq = 26.60699922194272948 -------------- ************************************* p = 61; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 373037959446.7450629 -------------- Searches starting with [61,653]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(61,653) = 0.8609630826145867250 D2(61,653) = 0.03077441389393884807 C1(61,653) = 1.080294745527793387 C2(61,653) = 2.066584117151381136 C3(61,653) = 4.605002155110827085 C4(61,653) = 5224 Sum = 3871.774783305566046 Averaged sum = 0.3868293319318179684 logp*logq = 26.64494601936595991 -------------- ************************************* p = 61; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 387331106897.6952104 -------------- Searches starting with [61,659]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(61,659) = 1.246736009294509793 D2(61,659) = 0.02156548836404301775 C1(61,659) = 1.764918464775946171 C2(61,659) = 2.059285815410789938 C3(61,659) = 12.12114704574256779 C4(61,659) = 5272 Sum = 3978.019569225912351 Averaged sum = 0.3974442570912091469 logp*logq = 26.68254573756097457 -------------- ************************************* p = 61; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 392186347721.3895760 -------------- Searches starting with [61,661]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(61,661) = 0.6736143479912610704 D2(61,661) = 0.01855578127676428806 C1(61,661) = 0.8765949452028659116 C2(61,661) = 2.056909041629894359 C3(61,661) = 3.452801198429349294 C4(61,661) = 5288 Sum = 4437.794582257214747 Averaged sum = 0.4433804158514551651 logp*logq = 26.69500294062137938 -------------- ************************************* p = 61; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 422292350908.3378335 -------------- Searches starting with [61,673]-exponents: u = 19, v = 5 n_start has 49 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(61,673) = 0.7696539648147732439 D2(61,673) = 0.0009911172157645658456 C1(61,673) = 1.139167570370085229 C2(61,673) = 1.867702792964827894 C3(61,673) = 5.004651901697368225 C4(61,673) = 5384 Sum = 4489.383710501311627 Averaged sum = 0.4485346898292848063 logp*logq = 26.76896368578913465 -------------- ************************************* p = 61; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 432706060832.8441296 -------------- Searches starting with [61,677]-exponents: u = 19, v = 5 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(61,677) = 0.7201348957210236543 D2(61,677) = 0.1513925578074898619 C1(61,677) = 0.9640050202508542271 C2(61,677) = 2.017962782770243670 C3(61,677) = 3.906929765130308680 C4(61,677) = 5416 Sum = 4596.307104839110106 Averaged sum = 0.4592174148105814873 logp*logq = 26.79332449108826818 -------------- ************************************* p = 61; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 448689587114.2059858 -------------- Searches starting with [61,683]-exponents: u = 19, v = 5 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(61,683) = 0.8348308628844334053 D2(61,683) = 0.1133120537139768853 C1(61,683) = 1.069128946354824752 C2(61,683) = 1.981654969764255387 C3(61,683) = 4.532885743777076798 C4(61,683) = 5464 Sum = 4664.167645754144233 Averaged sum = 0.4659973669451637759 logp*logq = 26.82959714287102611 -------------- ************************************* p = 61; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 470691215164.8584421 -------------- Searches starting with [61,691]-exponents: u = 27, v = 5 n_start has 63 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(61,691) = 0.6861115799879246477 D2(61,691) = 0.06870527020356522321 C1(61,691) = 0.8756223364105255137 C2(61,691) = 1.939387364306446532 C3(61,691) = 3.448057154284921261 C4(61,691) = 5528 Sum = 4536.219847706632893 Averaged sum = 0.4532140920877842835 logp*logq = 26.87746812183721336 -------------- ************************************* p = 61; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 499330190161.9887159 -------------- Searches starting with [61,701]-exponents: u = 51, v = 5 n_start has 106 digits starting right neighbors generation We generated 1040 left neighbors We generated 8970 right neighbors We generated 10009 non-negative rho_i D1(61,701) = 0.6826288016508586549 D2(61,701) = 0.02008791224895658189 C1(61,701) = 0.9280589103983474438 C2(61,701) = 1.893655656171959572 C3(61,701) = 3.713360039500337957 C4(61,701) = 5608 Sum = 4005.500637569859288 Averaged sum = 0.4001898928534178527 logp*logq = 26.93653341759998419 -------------- ************************************* p = 61; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 523175146048.1549641 -------------- Searches starting with [61,709]-exponents: u = 91, v = 5 n_start has 177 digits starting right neighbors generation We generated 2941 left neighbors We generated 7069 right neighbors We generated 10009 non-negative rho_i D1(61,709) = 0.6721119888167492618 D2(61,709) = 0.01392830206049211965 C1(61,709) = 0.8788814221096674010 C2(61,709) = 1.780972418042268979 C3(61,709) = 3.463979554429366210 C4(61,709) = 5672 Sum = 4811.210973778118419 Averaged sum = 0.4806884777478387870 logp*logq = 26.98318213223047149 -------------- ************************************* p = 61; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 554181638680.4167003 -------------- Searches starting with [61,719]-exponents: u = 8, v = 1773 n_start has 5080 digits --- performed 5000 steps in the continued fraction search [61,719]-exponents: u = 210, v = 1645 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,719) = 0.7413159868904566642 D2(61,719) = 0.6104902551112693861 C1(61,719) = 0.8731101689233765647 C2(61,719) = 1.534819354472020063 C3(61,719) = 3.435833822411700262 C4(61,719) = 5752 Sum = 6478.691928973731125 Averaged sum = 0.6479339862960027127 logp*logq = 27.04075833761102280 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,719) = 0.7413159868904566642 D2(61,719) = 0.6104902551112693861 C1(61,719) = 0.8731101689233765647 C2(61,719) = 1.534819354472020063 C3(61,719) = 3.435833822411700262 C4(61,719) = 5752 Sum = 6478.691928973731125 Averaged sum = 0.6479339862960027127 logp*logq = 27.04075833761102280 -------------- ************************************* p = 61; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 579971991876.0844563 -------------- Searches starting with [61,727]-exponents: u = 8, v = 68 n_start has 209 digits starting right neighbors generation We generated 4127 left neighbors We generated 5883 right neighbors We generated 10009 non-negative rho_i D1(61,727) = 0.6368797425023399567 D2(61,727) = 0.008514633711970782221 C1(61,727) = 0.8259353933717232974 C2(61,727) = 1.760672001681172676 C3(61,727) = 3.214178152599239739 C4(61,727) = 5816 Sum = 4800.701347415831916 Averaged sum = 0.4796384601274684699 logp*logq = 27.08624564945206302 -------------- ************************************* p = 61; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 599903018958.5572282 -------------- Searches starting with [61,733]-exponents: u = 8, v = 38 n_start has 124 digits starting right neighbors generation We generated 1419 left neighbors We generated 8591 right neighbors We generated 10009 non-negative rho_i D1(61,733) = 0.6373465937404895396 D2(61,733) = 0.01255308464537846668 C1(61,733) = 0.8501366710236048778 C2(61,733) = 1.865893948557642253 C3(61,733) = 3.326043582347239207 C4(61,733) = 5864 Sum = 4592.237202725367186 Averaged sum = 0.4588107905610317900 logp*logq = 27.12003384402913067 -------------- ************************************* p = 61; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 620348087134.4818771 -------------- Searches starting with [61,739]-exponents: u = 8, v = 28 n_start has 95 digits starting right neighbors generation We generated 797 left neighbors We generated 9213 right neighbors We generated 10009 non-negative rho_i D1(61,739) = 0.6418803395978709048 D2(61,739) = 0.04231489122605529761 C1(61,739) = 0.8247159878194507872 C2(61,739) = 1.897038204117622053 C3(61,739) = 3.208642340626719874 C4(61,739) = 5912 Sum = 4383.855147946719391 Averaged sum = 0.4379913226043280439 logp*logq = 27.15354658830427320 -------------- ************************************* p = 61; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 634268113676.4837327 -------------- Searches starting with [61,743]-exponents: u = 8, v = 23 n_start has 81 digits starting right neighbors generation We generated 546 left neighbors We generated 9464 right neighbors We generated 10009 non-negative rho_i D1(61,743) = 0.9684280238029285402 D2(61,743) = 0.06333999002905653154 C1(61,743) = 1.254883439798665921 C2(61,743) = 1.918978598374036883 C3(61,743) = 5.894076924960403145 C4(61,743) = 5944 Sum = 4979.594441351136333 Averaged sum = 0.4975116836198557631 logp*logq = 27.17573759422411940 -------------- ************************************* p = 61; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 662816116461.4923889 -------------- Searches starting with [61,751]-exponents: u = 8, v = 18 n_start has 67 digits starting right neighbors generation We generated 317 left neighbors We generated 9693 right neighbors We generated 10009 non-negative rho_i D1(61,751) = 0.7300545393247968103 D2(61,751) = 0.001212321188734287655 C1(61,751) = 1.036564095420161648 C2(61,751) = 1.759651953997323453 C3(61,751) = 4.328945300606186313 C4(61,751) = 6008 Sum = 4210.528802014806854 Averaged sum = 0.4206742733554607707 logp*logq = 27.21976343792663110 -------------- ************************************* p = 61; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 684857164622.9524312 -------------- Searches starting with [61,757]-exponents: u = 8, v = 13 n_start has 52 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(61,757) = 0.6580972987383974915 D2(61,757) = 0.01163352570055740743 C1(61,757) = 0.8374380728751746017 C2(61,757) = 1.871389817217911237 C3(61,757) = 3.266869848150387010 C4(61,757) = 6056 Sum = 4300.288822857227691 Averaged sum = 0.4296422043018511031 logp*logq = 27.25247613466695956 -------------- ************************************* p = 61; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 699856302802.5648528 -------------- Searches starting with [61,761]-exponents: u = 8, v = 13 n_start has 52 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(61,761) = 0.6107865184100492790 D2(61,761) = 0.01863266599928792320 C1(61,761) = 0.8017381392501066739 C2(61,761) = 1.879378761552550135 C3(61,761) = 3.106092780031783193 C4(61,761) = 6088 Sum = 4607.369607619224921 Averaged sum = 0.4603226703585997524 logp*logq = 27.27414086920601983 -------------- ************************************* p = 61; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 730599152714.3550933 -------------- Searches starting with [61,769]-exponents: u = 8, v = 8 n_start has 38 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(61,769) = 0.7697709569310592092 D2(61,769) = 0.03564302988593876991 C1(61,769) = 0.9978672855318396587 C2(61,769) = 2.054570190369102307 C3(61,769) = 4.098498732199935093 C4(61,769) = 6152 Sum = 4763.749286177949439 Averaged sum = 0.4759465766987660544 logp*logq = 27.31713079159484183 -------------- ************************************* p = 61; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 746348383610.4540606 -------------- Searches starting with [61,773]-exponents: u = 8, v = 8 n_start has 38 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(61,773) = 0.8238790485037195836 D2(61,773) = 0.04351340055516139601 C1(61,773) = 1.114512424807126955 C2(61,773) = 2.063415720504617267 C3(61,773) = 4.833227520132794219 C4(61,773) = 6184 Sum = 4559.883022163779565 Averaged sum = 0.4555782817627914442 logp*logq = 27.33845833029738723 -------------- ************************************* p = 61; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 803501771428.0254943 -------------- Searches starting with [61,787]-exponents: u = 8, v = 8 n_start has 38 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(61,787) = 0.6553420763712141103 D2(61,787) = 0.07193450088560481155 C1(61,787) = 0.8712704269796509872 C2(61,787) = 2.095209740833233828 C3(61,787) = 3.426909773871859111 C4(61,787) = 6296 Sum = 4569.315995881936362 Averaged sum = 0.4565207309303563155 logp*logq = 27.41224522676128125 -------------- ************************************* p = 61; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 846309432706.0443292 -------------- Searches starting with [61,797]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(61,797) = 1.308108825193888565 D2(61,797) = 0.04895351859423786491 C1(61,797) = 2.029054535563445899 C2(61,797) = 1.113043922204911262 C3(61,797) = 17.60783153046333499 C4(61,797) = 6376 Sum = 2417.738622961312142 Averaged sum = 0.2415564614807984955 logp*logq = 27.46415088937867741 -------------- ************************************* p = 61; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 899931753450.1750355 -------------- Searches starting with [61,809]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(61,809) = 0.6212625788566289031 D2(61,809) = 0.05162961032970045696 C1(61,809) = 0.8384843887539034477 C2(61,809) = 2.171911730471868735 C3(61,809) = 3.271705481388642821 C4(61,809) = 6472 Sum = 4457.109270985791337 Averaged sum = 0.4453101479654102644 logp*logq = 27.52558476789571452 -------------- ************************************* p = 61; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 909112857324.8085354 -------------- Searches starting with [61,811]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(61,811) = 0.7056563686167006978 D2(61,811) = 0.04500248983841548105 C1(61,811) = 0.9692736357698340554 C2(61,811) = 2.165840861194006009 C3(61,811) = 3.936136828121030576 C4(61,811) = 6488 Sum = 3959.811675751641459 Averaged sum = 0.3956251049806815325 logp*logq = 27.53573507889007382 -------------- ************************************* p = 61; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 956086345594.7402299 -------------- Searches starting with [61,821]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(61,821) = 0.7765434431900196075 D2(61,821) = 0.01348673736322020423 C1(61,821) = 1.009634522060672322 C2(61,821) = 2.137085681422717352 C3(61,821) = 4.167245760663964657 C4(61,821) = 6568 Sum = 4749.758967672108800 Averaged sum = 0.4745488028446506944 logp*logq = 27.58611406557900767 -------------- ************************************* p = 61; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 965697231133.7224878 -------------- Searches starting with [61,823]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(61,823) = 0.6155836166211168778 D2(61,823) = 0.007478075897233639960 C1(61,823) = 0.7946462754588813202 C2(61,823) = 2.131625045194013791 C3(61,823) = 3.075108804485989363 C4(61,823) = 6584 Sum = 4465.162870800437863 Averaged sum = 0.4461147837746466043 logp*logq = 27.59611619670353622 -------------- ************************************* p = 61; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 985138172956.3727521 -------------- Searches starting with [61,827]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(61,827) = 1.164028806723222308 D2(61,827) = 0.1485379460489147097 C1(61,827) = 1.555380265338275044 C2(61,827) = 1.997489573149602935 C3(61,827) = 9.013657737021742841 C4(61,827) = 6616 Sum = 4709.739731210137199 Averaged sum = 0.4705504776910917373 logp*logq = 27.61604774539365461 -------------- ************************************* p = 61; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 994968979499.3018906 -------------- Searches starting with [61,829]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(61,829) = 0.6133648562411996234 D2(61,829) = 0.1531762407986553743 C1(61,829) = 0.8085353438176893064 C2(61,829) = 2.002554959320934353 C3(61,829) = 3.136082363562110996 C4(61,829) = 6632 Sum = 4240.739529475865844 Averaged sum = 0.4236926295809637171 logp*logq = 27.62597739723639924 -------------- ************************************* p = 61; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1045241464670.411632 -------------- Searches starting with [61,839]-exponents: u = 18, v = 3 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(61,839) = 0.8270343345551198231 D2(61,839) = 0.1346038048458089219 C1(61,839) = 1.074343958439964414 C2(61,839) = 1.540311562712953395 C3(61,839) = 4.566426233023800486 C4(61,839) = 6712 Sum = 4405.113616316339551 Averaged sum = 0.4401152578995243832 logp*logq = 27.67526904132378149 -------------- ************************************* p = 61; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1118823988559.212548 -------------- Searches starting with [61,853]-exponents: u = 18, v = 3 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(61,853) = 0.5853072654591034908 D2(61,853) = 0.07082770167762506294 C1(61,853) = 0.8492527706022707768 C2(61,853) = 2.066606364721355311 C3(61,853) = 3.321890242605118170 C4(61,853) = 6824 Sum = 4571.815780095665957 Averaged sum = 0.4567704845734504903 logp*logq = 27.74329923937364639 -------------- ************************************* p = 61; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1140549674657.999764 -------------- Searches starting with [61,857]-exponents: u = 18, v = 3 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(61,857) = 1.369442970006942469 D2(61,857) = 0.05128129863226874127 C1(61,857) = 1.986859583389000550 C2(61,857) = 2.048066942149715519 C3(61,857) = 16.58826452139942263 C4(61,857) = 6856 Sum = 5022.044544592982824 Averaged sum = 0.5017528768701151787 logp*logq = 27.76253143288061923 -------------- ************************************* p = 61; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1151531479644.709566 -------------- Searches starting with [61,859]-exponents: u = 23, v = 3 n_start has 50 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(61,859) = 0.7626134261751221557 D2(61,859) = 0.04188488816191305064 C1(61,859) = 1.106437216955178032 C2(61,859) = 2.039172243826690726 C3(61,859) = 4.778368004888200476 C4(61,859) = 6872 Sum = 4248.045706504830864 Averaged sum = 0.4244225903191958102 logp*logq = 27.77211389377938117 -------------- ************************************* p = 61; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1173734972667.990094 -------------- Searches starting with [61,863]-exponents: u = 23, v = 3 n_start has 50 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(61,863) = 0.7454112968066089281 D2(61,863) = 0.02376784826555903569 C1(61,863) = 0.9902356527517665070 C2(61,863) = 2.022055099708130659 C3(61,863) = 4.054520355268757710 C4(61,863) = 6904 Sum = 4681.590698414876935 Averaged sum = 0.4677381055464958472 logp*logq = 27.79121206454815370 -------------- ************************************* p = 61; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1254007432719.820379 -------------- Searches starting with [61,877]-exponents: u = 28, v = 3 n_start has 59 digits starting right neighbors generation We generated 213 left neighbors We generated 9797 right neighbors We generated 10009 non-negative rho_i D1(61,877) = 0.6170380630710069727 D2(61,877) = 0.06892475127943680545 C1(61,877) = 0.8292300590464159694 C2(61,877) = 1.975760551574314988 C3(61,877) = 3.229182963401224445 C4(61,877) = 7016 Sum = 4410.387191953603336 Averaged sum = 0.4406421412682189366 logp*logq = 27.85736548533049951 -------------- ************************************* p = 61; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1277687048494.096779 -------------- Searches starting with [61,881]-exponents: u = 28, v = 3 n_start has 59 digits starting right neighbors generation We generated 213 left neighbors We generated 9797 right neighbors We generated 10009 non-negative rho_i D1(61,881) = 0.6638861272801875437 D2(61,881) = 0.04413281277867904933 C1(61,881) = 0.9323161655720801914 C2(61,881) = 1.951912492471024589 C3(61,881) = 3.735775192898753525 C4(61,881) = 7048 Sum = 4452.806523806282896 Averaged sum = 0.4448802601464964428 logp*logq = 27.87607256591416244 -------------- ************************************* p = 61; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1289652965800.775513 -------------- Searches starting with [61,883]-exponents: u = 33, v = 3 n_start has 68 digits starting right neighbors generation We generated 324 left neighbors We generated 9686 right neighbors We generated 10009 non-negative rho_i D1(61,883) = 0.9912257027674291690 D2(61,883) = 0.03234755374474214245 C1(61,883) = 1.391977579073633258 C2(61,883) = 1.940597555184649985 C3(61,883) = 7.154554127682794686 C4(61,883) = 7064 Sum = 2889.016623795949666 Averaged sum = 0.2886418846833799247 logp*logq = 27.88539427935100280 -------------- ************************************* p = 61; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1313839039400.274770 -------------- Searches starting with [61,887]-exponents: u = 33, v = 3 n_start has 68 digits starting right neighbors generation We generated 324 left neighbors We generated 9686 right neighbors We generated 10009 non-negative rho_i D1(61,887) = 0.9230130072925004781 D2(61,887) = 0.009836424045980132900 C1(61,887) = 1.229112481571210945 C2(61,887) = 1.919023857540084984 C3(61,887) = 5.683215552764731116 C4(61,887) = 7096 Sum = 4932.135630820029219 Averaged sum = 0.4927700700189858346 logp*logq = 27.90397453183640258 -------------- ************************************* p = 61; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1439960227690.299125 -------------- Searches starting with [61,907]-exponents: u = 53, v = 3 n_start has 104 digits starting right neighbors generation We generated 757 left neighbors We generated 9253 right neighbors We generated 10009 non-negative rho_i D1(61,907) = 0.5930644779384941803 D2(61,907) = 0.01025305508835855356 C1(61,907) = 0.7574564450141848561 C2(61,907) = 1.796065500081554977 C3(61,907) = 2.917617664636945916 C4(61,907) = 7256 Sum = 4510.423131747889369 Averaged sum = 0.4506367401086911149 logp*logq = 27.99563660947551315 -------------- ************************************* p = 61; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1466245682955.424720 -------------- Searches starting with [61,911]-exponents: u = 58, v = 3 n_start has 113 digits starting right neighbors generation We generated 840 left neighbors We generated 9170 right neighbors We generated 10009 non-negative rho_i D1(61,911) = 0.6487829030744280191 D2(61,911) = 0.02470167480531761768 C1(61,911) = 0.8246513446543968578 C2(61,911) = 1.765081924523011474 C3(61,911) = 3.208349142250799790 C4(61,911) = 7288 Sum = 4510.864691005981469 Averaged sum = 0.4506808563299012358 logp*logq = 28.01372629263383682 -------------- ************************************* p = 61; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1519904451823.448645 -------------- Searches starting with [61,919]-exponents: u = 78, v = 3 n_start has 149 digits starting right neighbors generation We generated 1483 left neighbors We generated 8527 right neighbors We generated 10009 non-negative rho_i D1(61,919) = 0.7415801470038784348 D2(61,919) = 0.02134354382710114719 C1(61,919) = 0.9478861284306044336 C2(61,919) = 1.691012741434382913 C3(61,919) = 3.818912130714488826 C4(61,919) = 7352 Sum = 4702.277103277398999 Averaged sum = 0.4698048859304025376 logp*logq = 28.04966858816845224 -------------- ************************************* p = 61; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1589052431231.103927 -------------- Searches starting with [61,929]-exponents: u = 128, v = 3 n_start has 238 digits starting right neighbors generation We generated 3878 left neighbors We generated 6132 right neighbors We generated 10009 non-negative rho_i D1(61,929) = 0.6401319188801927339 D2(61,929) = 0.01210509640413054030 C1(61,929) = 0.8251737620469054581 C2(61,929) = 1.566221345068187805 C3(61,929) = 3.210719408358929642 C4(61,929) = 7432 Sum = 4867.919654797301341 Averaged sum = 0.4863542466577381697 logp*logq = 28.09415899930823904 -------------- ************************************* p = 61; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1646063615156.085864 -------------- Searches starting with [61,937]-exponents: u = 258, v = 3 n_start has 470 digits --- performed 5000 steps in the continued fraction search [61,937]-exponents: u = 57, v = 103 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,937) = 0.6539423371522699731 D2(61,937) = 0.1041384445613679507 C1(61,937) = 0.8204186405198373767 C2(61,937) = 1.443316226504108717 C3(61,937) = 3.189209299554268346 C4(61,937) = 7496 Sum = 5239.872778126878925 Averaged sum = 0.5240396817808659791 logp*logq = 28.12940786576957918 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,937) = 0.6539423371522699731 D2(61,937) = 0.1041384445613679507 C1(61,937) = 0.8204186405198373767 C2(61,937) = 1.443316226504108717 C3(61,937) = 3.189209299554268346 C4(61,937) = 7496 Sum = 5239.872778126878925 Averaged sum = 0.5240396817808659791 logp*logq = 28.12940786576957918 -------------- ************************************* p = 61; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1675142918431.368540 -------------- Searches starting with [61,941]-exponents: u = 503, v = 3 n_start has 907 digits --- performed 5000 steps in the continued fraction search [61,941]-exponents: u = 258, v = 140 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,941) = 0.6444326168910559725 D2(61,941) = 0.2943914304266186295 C1(61,941) = 0.7908806033669584978 C2(61,941) = 1.472380363792222924 C3(61,941) = 3.058782607089584008 C4(61,941) = 7528 Sum = 5628.842408400961350 Averaged sum = 0.5629405348935854935 logp*logq = 28.14691960200229320 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,941) = 0.6444326168910559725 D2(61,941) = 0.2943914304266186295 C1(61,941) = 0.7908806033669584978 C2(61,941) = 1.472380363792222924 C3(61,941) = 3.058782607089584008 C4(61,941) = 7528 Sum = 5628.842408400961350 Averaged sum = 0.5629405348935854935 logp*logq = 28.14691960200229320 -------------- ************************************* p = 61; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1719488752310.248541 -------------- Searches starting with [61,947]-exponents: u = 5, v = 742 n_start has 2218 digits --- performed 5000 steps in the continued fraction search [61,947]-exponents: u = 295, v = 564 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,947) = 0.6788597184083316797 D2(61,947) = 0.4597911271432143920 C1(61,947) = 0.8136350656658803892 C2(61,947) = 1.507268557526143535 C3(61,947) = 3.158772537116667942 C4(61,947) = 7576 Sum = 6086.367304157737339 Averaged sum = 0.6086976001757913130 logp*logq = 28.17304812554130337 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,947) = 0.6788597184083316797 D2(61,947) = 0.4597911271432143920 C1(61,947) = 0.8136350656658803892 C2(61,947) = 1.507268557526143535 C3(61,947) = 3.158772537116667942 C4(61,947) = 7576 Sum = 6086.367304157737339 Averaged sum = 0.6086976001757913130 logp*logq = 28.17304812554130337 -------------- ************************************* p = 61; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1764717303903.958508 -------------- Searches starting with [61,953]-exponents: u = 5, v = 166 n_start has 504 digits --- performed 5000 steps in the continued fraction search [61,953]-exponents: u = 145, v = 63 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,953) = 0.5865624742275840711 D2(61,953) = 0.1358614455546196936 C1(61,953) = 0.7339993694331564943 C2(61,953) = 1.449679754052248837 C3(61,953) = 2.822456647477686989 C4(61,953) = 7624 Sum = 5281.869561392811782 Averaged sum = 0.5282397801172929075 logp*logq = 28.19901162572578598 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(61,953) = 0.5865624742275840711 D2(61,953) = 0.1358614455546196936 C1(61,953) = 0.7339993694331564943 C2(61,953) = 1.449679754052248837 C3(61,953) = 2.822456647477686989 C4(61,953) = 7624 Sum = 5281.869561392811782 Averaged sum = 0.5282397801172929075 logp*logq = 28.19901162572578598 -------------- ************************************* p = 61; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1873750085696.385024 -------------- Searches starting with [61,967]-exponents: u = 5, v = 58 n_start has 183 digits starting right neighbors generation We generated 2268 left neighbors We generated 7742 right neighbors We generated 10009 non-negative rho_i D1(61,967) = 0.6735937560557646827 D2(61,967) = 0.01028666901967055614 C1(61,967) = 0.8794795350066327405 C2(61,967) = 1.639921209664058126 C3(61,967) = 3.466909635132402411 C4(61,967) = 7736 Sum = 4843.040800995688615 Averaged sum = 0.4838685983610439220 logp*logq = 28.25896293209844640 -------------- ************************************* p = 61; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1905818150715.660401 -------------- Searches starting with [61,971]-exponents: u = 5, v = 49 n_start has 156 digits starting right neighbors generation We generated 1566 left neighbors We generated 8444 right neighbors We generated 10009 non-negative rho_i D1(61,971) = 0.6123366974432784065 D2(61,971) = 0.02895807458886935427 C1(61,971) = 0.8061653537787954566 C2(61,971) = 1.685887981183980825 C3(61,971) = 3.125593120330119524 C4(61,971) = 7768 Sum = 4736.501798813079263 Averaged sum = 0.4732242780310799543 logp*logq = 28.27593250775032367 -------------- ************************************* p = 61; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1954696874881.519879 -------------- Searches starting with [61,977]-exponents: u = 5, v = 40 n_start has 129 digits starting right neighbors generation We generated 1113 left neighbors We generated 8897 right neighbors We generated 10009 non-negative rho_i D1(61,977) = 1.100367724313421715 D2(61,977) = 0.01953438336277392407 C1(61,977) = 1.415602749706232733 C2(61,977) = 1.742638278588242660 C3(61,977) = 7.397532345186819855 C4(61,977) = 7816 Sum = 5033.440269893278585 Averaged sum = 0.5028914247070914762 logp*logq = 28.30125624613269676 -------------- ************************************* p = 61; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2004518383791.323135 -------------- Searches starting with [61,983]-exponents: u = 5, v = 34 n_start has 111 digits starting right neighbors generation We generated 818 left neighbors We generated 9192 right neighbors We generated 10009 non-negative rho_i D1(61,983) = 1.329847244339720640 D2(61,983) = 0.02721023287635942472 C1(61,983) = 1.693433988272257479 C2(61,983) = 1.792164777323910203 C3(61,983) = 10.95612449247605124 C4(61,983) = 7864 Sum = 4811.192564808945851 Averaged sum = 0.4806866385062389700 logp*logq = 28.32642494024724289 -------------- ************************************* p = 61; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2072434824244.529112 -------------- Searches starting with [61,991]-exponents: u = 5, v = 28 n_start has 93 digits starting right neighbors generation We generated 568 left neighbors We generated 9442 right neighbors We generated 10009 non-negative rho_i D1(61,991) = 1.164821479819671435 D2(61,991) = 0.03330904594996758223 C1(61,991) = 1.495231414942161627 C2(61,991) = 1.848521408511583261 C3(61,991) = 8.278918928433172763 C4(61,991) = 7928 Sum = 4986.198942910360156 Averaged sum = 0.4981715399051214063 logp*logq = 28.35974527556970321 -------------- ************************************* p = 61; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2124503999089.037125 -------------- Searches starting with [61,997]-exponents: u = 5, v = 25 n_start has 84 digits starting right neighbors generation We generated 500 left neighbors We generated 9510 right neighbors We generated 10009 non-negative rho_i D1(61,997) = 0.7317822118186342333 D2(61,997) = 0.006603332262440413000 C1(61,997) = 0.9325225319317223492 C2(61,997) = 1.883152063797856841 C3(61,997) = 3.736865177763611962 C4(61,997) = 7976 Sum = 4298.351805763011361 Averaged sum = 0.4294486767672106465 logp*logq = 28.38455947886666845 -------------- ************************************* p = 67; q = 71; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60809623.63139558841 -------------- Searches starting with [67,71]-exponents: u = 1, v = 72 n_start has 136 digits starting right neighbors generation We generated 883 left neighbors We generated 9127 right neighbors We generated 10009 non-negative rho_i D1(67,71) = 1.042192321870353121 D2(67,71) = 0.009356847232397415315 C1(67,71) = 1.342125930252919607 C2(67,71) = 1.149867827753529038 C3(67,71) = 6.872739989647024681 C4(67,71) = 568 Sum = 5354.220589161886846 Averaged sum = 0.5349406123650601305 logp*logq = 17.92325861782200966 -------------- ************************************* p = 67; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68343918.81963285290 -------------- Searches starting with [67,73]-exponents: u = 1, v = 49 n_start has 94 digits starting right neighbors generation We generated 464 left neighbors We generated 9546 right neighbors We generated 10009 non-negative rho_i D1(67,73) = 1.151049068927851941 D2(67,73) = 0.001897996666004604610 C1(67,73) = 1.573628972075021205 C2(67,73) = 1.233995290665344888 C3(67,73) = 9.583547300435755676 C4(67,73) = 584 Sum = 3973.779659054307850 Averaged sum = 0.3970206473228402287 logp*logq = 18.04006314599292908 -------------- ************************************* p = 67; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95266152.35093570675 -------------- Searches starting with [67,79]-exponents: u = 1, v = 25 n_start has 50 digits starting right neighbors generation We generated 124 left neighbors We generated 9886 right neighbors We generated 10009 non-negative rho_i D1(67,79) = 0.9206380616200003723 D2(67,79) = 0.05269172886318100364 C1(67,79) = 1.253669429244352755 C2(67,79) = 1.465162742688685277 C3(67,79) = 6.052803351151830976 C4(67,79) = 632 Sum = 5225.593422959972288 Averaged sum = 0.5220894617803948734 logp*logq = 18.37218513608179203 -------------- ************************************* p = 67; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117255572.3890394725 -------------- Searches starting with [67,83]-exponents: u = 1, v = 19 n_start has 39 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(67,83) = 0.6955410062392551796 D2(67,83) = 0.06415050588910757541 C1(67,83) = 0.9375822699807778529 C2(67,83) = 1.568699171598639980 C3(67,83) = 3.844166381753010470 C4(67,83) = 664 Sum = 5019.012070993658470 Averaged sum = 0.5014499021873971895 logp*logq = 18.57986648986744584 -------------- ************************************* p = 67; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 157248232.7397291516 -------------- Searches starting with [67,89]-exponents: u = 1, v = 14 n_start has 30 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(67,89) = 0.7662806548636530650 D2(67,89) = 0.09811441908145564639 C1(67,89) = 1.018152754586277970 C2(67,89) = 1.713282411770346739 C3(67,89) = 4.315754652273310502 C4(67,89) = 712 Sum = 4779.717285013383527 Averaged sum = 0.4775419407546591595 logp*logq = 18.87333621494258786 -------------- ************************************* p = 67; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 225821063.0373589217 -------------- Searches starting with [67,97]-exponents: u = 1, v = 11 n_start has 24 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(67,97) = 1.149635034031544640 D2(67,97) = 0.1102060868272551018 C1(67,97) = 1.485727685469105366 C2(67,97) = 1.850705345204831404 C3(67,97) = 8.446936850364844788 C4(67,97) = 776 Sum = 5047.302028475134308 Averaged sum = 0.5042763541287975130 logp*logq = 19.23525348715999814 -------------- ************************************* p = 67; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267642629.0094184207 -------------- Searches starting with [67,101]-exponents: u = 1, v = 10 n_start has 22 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(67,101) = 0.9024934924350064223 D2(67,101) = 0.1087933734431741756 C1(67,101) = 1.242991824770734193 C2(67,101) = 1.905237670925353434 C3(67,101) = 5.960690560838435707 C4(67,101) = 808 Sum = 4239.756806938150736 Averaged sum = 0.4235944456926916511 logp*logq = 19.40516317476226429 -------------- ************************************* p = 67; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 290644308.4238651652 -------------- Searches starting with [67,103]-exponents: u = 1, v = 9 n_start has 20 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(67,103) = 1.154724789056011595 D2(67,103) = 0.1421116474828711991 C1(67,103) = 1.517243235832286158 C2(67,103) = 1.678174530975262035 C3(67,103) = 8.838052471543484885 C4(67,103) = 824 Sum = 5580.377015580648335 Averaged sum = 0.5575359192307571520 logp*logq = 19.48761076968650913 -------------- ************************************* p = 67; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 341141843.4444402519 -------------- Searches starting with [67,107]-exponents: u = 1, v = 8 n_start has 19 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(67,107) = 1.273008715539314559 D2(67,107) = 0.06965856093130275083 C1(67,107) = 2.067027855218506570 C2(67,107) = 0.9426153198828931834 C3(67,107) = 19.46597110049589033 C4(67,107) = 856 Sum = 3991.283941147516399 Averaged sum = 0.3987695015633446297 logp*logq = 19.64780891193926720 -------------- ************************************* p = 67; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 368767091.8796927844 -------------- Searches starting with [67,109]-exponents: u = 1, v = 8 n_start has 19 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(67,109) = 0.6715322920411076962 D2(67,109) = 0.1096765084731015699 C1(67,109) = 0.9579506903448663115 C2(67,109) = 1.699740684883659919 C3(67,109) = 3.958281329161444550 C4(67,109) = 872 Sum = 4809.486054731254514 Averaged sum = 0.4805161409462738049 logp*logq = 19.72567581540431958 -------------- ************************************* p = 67; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 429105200.8851960956 -------------- Searches starting with [67,113]-exponents: u = 1, v = 8 n_start has 19 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(67,113) = 1.033631874984769730 D2(67,113) = 0.05560052780122044202 C1(67,113) = 1.709446520175722576 C2(67,113) = 1.062014766186524490 C3(67,113) = 11.64770459111906465 C4(67,113) = 904 Sum = 4906.236319666205280 Averaged sum = 0.4901824677456494434 logp*logq = 19.87721267033853666 -------------- ************************************* p = 67; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 701209801.7016288244 -------------- Searches starting with [67,127]-exponents: u = 1, v = 6 n_start has 15 digits starting right neighbors generation We generated 14 left neighbors We generated 9996 right neighbors We generated 10009 non-negative rho_i D1(67,127) = 0.7621857148593037914 D2(67,127) = 0.02770787609284933572 C1(67,127) = 1.037901450546387990 C2(67,127) = 1.766198331323910895 C3(67,127) = 4.439915303022120174 C4(67,127) = 1016 Sum = 4879.736629413840429 Averaged sum = 0.4875348815479908511 logp*logq = 20.36831768938146631 -------------- ************************************* p = 67; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 798867935.5826110000 -------------- Searches starting with [67,131]-exponents: u = 22, v = 6 n_start has 53 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(67,131) = 0.7425788325857004252 D2(67,131) = 0.009702792036329126157 C1(67,131) = 0.9859576829131786022 C2(67,131) = 1.482745752952034226 C3(67,131) = 4.120743463463460902 C4(67,131) = 1048 Sum = 4825.391094626006165 Averaged sum = 0.4821052147693082391 logp*logq = 20.49870620293847604 -------------- ************************************* p = 67; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 964391110.3006798990 -------------- Searches starting with [67,137]-exponents: u = 7, v = 47 n_start has 114 digits starting right neighbors generation We generated 905 left neighbors We generated 9105 right neighbors We generated 10009 non-negative rho_i D1(67,137) = 0.7264330001615229016 D2(67,137) = 0.02430485806311931631 C1(67,137) = 0.9867870244454834238 C2(67,137) = 1.291041920956568041 C3(67,137) = 4.125654610604463727 C4(67,137) = 1096 Sum = 4027.294135788192166 Averaged sum = 0.4023672830240975289 logp*logq = 20.68700748637384885 -------------- ************************************* p = 67; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1024987369.694639598 -------------- Searches starting with [67,139]-exponents: u = 7, v = 23 n_start has 63 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(67,139) = 0.8286929930580631216 D2(67,139) = 0.06061765159934793002 C1(67,139) = 1.068848642262387428 C2(67,139) = 1.493888895476278749 C3(67,139) = 4.641704713868047197 C4(67,139) = 1112 Sum = 4738.959747991036414 Averaged sum = 0.4734698519323645133 logp*logq = 20.74794612721173102 -------------- ************************************* p = 67; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1372714633.356051597 -------------- Searches starting with [67,149]-exponents: u = 19, v = 5 n_start has 46 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(67,149) = 0.9894222141692084758 D2(67,149) = 0.05083410666526447317 C1(67,149) = 1.275350332116699298 C2(67,149) = 1.715470273287077016 C3(67,149) = 6.244241425452658722 C4(67,149) = 1192 Sum = 4894.734034166002753 Averaged sum = 0.4890332734704768462 logp*logq = 21.04005610043756104 -------------- ************************************* p = 67; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1451871860.738761478 -------------- Searches starting with [67,151]-exponents: u = 31, v = 5 n_start has 68 digits starting right neighbors generation We generated 547 left neighbors We generated 9463 right neighbors We generated 10009 non-negative rho_i D1(67,151) = 0.7188685827536345674 D2(67,151) = 0.01060683489123599214 C1(67,151) = 0.9271977699003352185 C2(67,151) = 1.678080000198325273 C3(67,151) = 3.787259014486049831 C4(67,151) = 1208 Sum = 4856.897257041449647 Averaged sum = 0.4852529980059396190 logp*logq = 21.09611949927482292 -------------- ************************************* p = 67; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1710342396.989094733 -------------- Searches starting with [67,157]-exponents: u = 6, v = 79 n_start has 185 digits starting right neighbors generation We generated 4136 left neighbors We generated 5874 right neighbors We generated 10009 non-negative rho_i D1(67,157) = 1.008230292451712185 D2(67,157) = 0.0003451106113674282241 C1(67,157) = 1.326206266984194645 C2(67,157) = 1.512521563380964924 C3(67,157) = 6.717385533847676191 C4(67,157) = 1256 Sum = 4896.137559357412842 Averaged sum = 0.4891734997859339436 logp*logq = 21.25995941957456211 -------------- ************************************* p = 67; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2002483254.056949130 -------------- Searches starting with [67,163]-exponents: u = 6, v = 14 n_start has 42 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(67,163) = 0.6938094050559969644 D2(67,163) = 0.02047957717503130006 C1(67,163) = 0.9343201987020503888 C2(67,163) = 1.626684101718782052 C3(67,163) = 3.826198620426014619 C4(67,163) = 1304 Sum = 4493.298708938902767 Averaged sum = 0.4489258376400142638 logp*logq = 21.41765387435344488 -------------- ************************************* p = 67; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2217377014.228853283 -------------- Searches starting with [67,167]-exponents: u = 6, v = 9 n_start has 31 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(67,167) = 0.8461663208315106958 D2(67,167) = 0.07433490550062786498 C1(67,167) = 1.210885653775713464 C2(67,167) = 1.818487537261570449 C3(67,167) = 5.692078202921180535 C4(67,167) = 1336 Sum = 4118.419879053379490 Averaged sum = 0.4114716634082705055 logp*logq = 21.51959080915736263 -------------- ************************************* p = 67; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2572147867.585253384 -------------- Searches starting with [67,173]-exponents: u = 11, v = 4 n_start has 30 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(67,173) = 0.8433491796612349675 D2(67,173) = 0.08345195228485769186 C1(67,173) = 1.071738841483174038 C2(67,173) = 1.868473149938083748 C3(67,173) = 4.661012044833842461 C4(67,173) = 1384 Sum = 4469.533858517700449 Averaged sum = 0.4465514895112099560 logp*logq = 21.66800713295431426 -------------- ************************************* p = 67; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2968619336.327452371 -------------- Searches starting with [67,179]-exponents: u = 16, v = 4 n_start has 39 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(67,179) = 0.6778923060843207128 D2(67,179) = 0.1391712822964749038 C1(67,179) = 0.8916879157176639251 C2(67,179) = 1.804047374044015405 C3(67,179) = 3.598953998862403144 C4(67,179) = 1432 Sum = 4770.182784440278090 Averaged sum = 0.4765893480308000888 logp*logq = 21.81136281175208141 -------------- ************************************* p = 67; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3110601955.680037450 -------------- Searches starting with [67,181]-exponents: u = 21, v = 4 n_start has 48 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(67,181) = 1.121127892606012929 D2(67,181) = 0.07936436686147311449 C1(67,181) = 1.502728704598264026 C2(67,181) = 1.746624217185775209 C3(67,181) = 8.655723311630542832 C4(67,181) = 1448 Sum = 5130.555896852998487 Averaged sum = 0.5125942548559295121 logp*logq = 21.85808209928926565 -------------- ************************************* p = 67; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3899816422.931587392 -------------- Searches starting with [67,191]-exponents: u = 361, v = 4 n_start has 669 digits --- performed 5000 steps in the continued fraction search [67,191]-exponents: u = 56, v = 234 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,191) = 0.5921373209087648738 D2(67,191) = 0.2922764138469311334 C1(67,191) = 0.7365499462143811540 C2(67,191) = 1.304023911370054948 C3(67,191) = 2.880125618291311068 C4(67,191) = 1528 Sum = 5784.305797796131895 Averaged sum = 0.5784884286224754371 logp*logq = 22.08419531793095286 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,191) = 0.5921373209087648738 D2(67,191) = 0.2922764138469311334 C1(67,191) = 0.7365499462143811540 C2(67,191) = 1.304023911370054948 C3(67,191) = 2.880125618291311068 C4(67,191) = 1528 Sum = 5784.305797796131895 Averaged sum = 0.5784884286224754371 logp*logq = 22.08419531793095286 -------------- ************************************* p = 67; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4074421439.121198606 -------------- Searches starting with [67,193]-exponents: u = 5, v = 151 n_start has 355 digits --- performed 5000 steps in the continued fraction search [67,193]-exponents: u = 26, v = 105 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,193) = 0.5819510017543711460 D2(67,193) = 0.08791457438081253803 C1(67,193) = 0.7587266483672040055 C2(67,193) = 1.273019051322473637 C3(67,193) = 2.973334697498229582 C4(67,193) = 1544 Sum = 5434.264946709990381 Averaged sum = 0.5434808427552745656 logp*logq = 22.12799459542962122 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,193) = 0.5819510017543711460 D2(67,193) = 0.08791457438081253803 C1(67,193) = 0.7587266483672040055 C2(67,193) = 1.273019051322473637 C3(67,193) = 2.973334697498229582 C4(67,193) = 1544 Sum = 5434.264946709990381 Averaged sum = 0.5434808427552745656 logp*logq = 22.12799459542962122 -------------- ************************************* p = 67; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4441454389.535410135 -------------- Searches starting with [67,197]-exponents: u = 5, v = 35 n_start has 90 digits starting right neighbors generation We generated 792 left neighbors We generated 9218 right neighbors We generated 10009 non-negative rho_i D1(67,197) = 0.7867312289760645583 D2(67,197) = 0.02266855083738422235 C1(67,197) = 1.077059209772519276 C2(67,197) = 1.583294139087958996 C3(67,197) = 4.696763811632481369 C4(67,197) = 1576 Sum = 4959.736622874918603 Averaged sum = 0.4955276873688598864 logp*logq = 22.21424772496345180 -------------- ************************************* p = 67; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4634155082.876152620 -------------- Searches starting with [67,199]-exponents: u = 5, v = 27 n_start has 72 digits starting right neighbors generation We generated 513 left neighbors We generated 9497 right neighbors We generated 10009 non-negative rho_i D1(67,199) = 0.6982045732574121660 D2(67,199) = 0.02453803803686123795 C1(67,199) = 0.9008343632545320039 C2(67,199) = 1.659280495178694635 C3(67,199) = 3.646542236863082756 C4(67,199) = 1592 Sum = 4727.841412567241337 Averaged sum = 0.4723590181403977757 logp*logq = 22.25671972870566441 -------------- ************************************* p = 67; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5927796488.816371917 -------------- Searches starting with [67,211]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(67,211) = 1.312494880741640377 D2(67,211) = 0.09951538947317572163 C1(67,211) = 2.026767621599397637 C2(67,211) = 1.054950533672235737 C3(67,211) = 18.37233634690083445 C4(67,211) = 1688 Sum = 3771.412501521132978 Averaged sum = 0.3768021282367002675 logp*logq = 22.50291839385432849 -------------- ************************************* p = 67; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7479974645.122426431 -------------- Searches starting with [67,223]-exponents: u = 9, v = 3 n_start has 24 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(67,223) = 1.328837131854226361 D2(67,223) = 0.02539328175279694503 C1(67,223) = 2.197422661215660825 C2(67,223) = 0.9666974787911411133 C3(67,223) = 23.47511784684414858 C4(67,223) = 1784 Sum = 3577.635714202489107 Averaged sum = 0.3574418737338884111 logp*logq = 22.73549523923753684 -------------- ************************************* p = 67; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8060547337.751664266 -------------- Searches starting with [67,227]-exponents: u = 9, v = 3 n_start has 24 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(67,227) = 0.8280134894607873152 D2(67,227) = 0.008934384193906031734 C1(67,227) = 1.150393577716243377 C2(67,227) = 1.986268350075798233 C3(67,227) = 5.218430193692620529 C4(67,227) = 1816 Sum = 3635.789474945516404 Averaged sum = 0.3632520206759432914 logp*logq = 22.81024729906894613 -------------- ************************************* p = 67; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8363399366.377418036 -------------- Searches starting with [67,229]-exponents: u = 9, v = 3 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(67,229) = 1.038993990577675867 D2(67,229) = 0.08108930079368971782 C1(67,229) = 1.375773103921726257 C2(67,229) = 1.648850142567045197 C3(67,229) = 7.213014556837498008 C4(67,229) = 1832 Sum = 5188.492267567214612 Averaged sum = 0.5183826823426131093 logp*logq = 22.84713080416680410 -------------- ************************************* p = 67; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8995058012.316445266 -------------- Searches starting with [67,233]-exponents: u = 9, v = 3 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(67,233) = 0.8567338537945332625 D2(67,233) = 0.1183335021250633122 C1(67,233) = 1.202815914030065335 C2(67,233) = 1.823921191147927504 C3(67,233) = 5.626489141866034200 C4(67,233) = 1864 Sum = 3826.983397898302195 Averaged sum = 0.3823542209909383750 logp*logq = 22.91994115372404642 -------------- ************************************* p = 67; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10009954423.53789340 -------------- Searches starting with [67,239]-exponents: u = 13, v = 3 n_start has 31 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(67,239) = 0.6720534020147720404 D2(67,239) = 0.1094362825464130332 C1(67,239) = 0.9118346611843708360 C2(67,239) = 1.944480474742559823 C3(67,239) = 3.704610137714768137 C4(67,239) = 1912 Sum = 4603.582135983827581 Averaged sum = 0.4599442637609978600 logp*logq = 23.02684587717005747 -------------- ************************************* p = 67; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10366913579.17151606 -------------- Searches starting with [67,241]-exponents: u = 13, v = 3 n_start has 31 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(67,241) = 0.9605042401483119790 D2(67,241) = 0.07457521209847338425 C1(67,241) = 1.366090032369349033 C2(67,241) = 1.911522204106086778 C3(67,241) = 7.113398602365571866 C4(67,241) = 1928 Sum = 4209.960671178994535 Averaged sum = 0.4206175113576775437 logp*logq = 23.06188518510636041 -------------- ************************************* p = 67; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12299582946.47805273 -------------- Searches starting with [67,251]-exponents: u = 21, v = 3 n_start has 46 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(67,251) = 0.7017640199862725992 D2(67,251) = 0.04821906680134437225 C1(67,251) = 0.8911069530069090896 C2(67,251) = 1.792109163100364332 C3(67,251) = 3.595952358436135410 C4(67,251) = 2008 Sum = 4239.177557125716364 Averaged sum = 0.4235365727970542875 logp*logq = 23.23283119195953254 -------------- ************************************* p = 67; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13584010759.65220538 -------------- Searches starting with [67,257]-exponents: u = 29, v = 3 n_start has 61 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(67,257) = 0.8303268518255722052 D2(67,257) = 0.01561269391453457018 C1(67,257) = 1.056702805441594838 C2(67,257) = 1.690040228269704034 C3(67,257) = 4.561437562036068786 C4(67,257) = 2056 Sum = 4493.276033387441076 Averaged sum = 0.4489235721238326582 logp*logq = 23.33215925859784848 -------------- ************************************* p = 67; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14968217146.68072319 -------------- Searches starting with [67,263]-exponents: u = 53, v = 3 n_start has 105 digits starting right neighbors generation We generated 891 left neighbors We generated 9119 right neighbors We generated 10009 non-negative rho_i D1(67,263) = 0.7037194389717052826 D2(67,263) = 0.01716679366645549408 C1(67,263) = 0.9021356661486254414 C2(67,263) = 1.553165487644649271 C3(67,263) = 3.653363751628435186 C4(67,263) = 2104 Sum = 4683.403767311758570 Averaged sum = 0.4679192494067098182 logp*logq = 23.42919493320745821 -------------- ************************************* p = 67; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16457409617.76797695 -------------- Searches starting with [67,269]-exponents: u = 161, v = 3 n_start has 302 digits --- performed 5000 steps in the continued fraction search [67,269]-exponents: u = 95, v = 16 --- starting right neighbors generation We generated 7470 left neighbors We generated 2540 right neighbors We generated 10009 non-negative rho_i D1(67,269) = 0.8265316565105045358 D2(67,269) = 0.01042212323959198790 C1(67,269) = 1.060141435416671356 C2(67,269) = 1.301643106758036168 C3(67,269) = 4.584020232595475304 C4(67,269) = 2152 Sum = 5204.871990159776213 Averaged sum = 0.5200191817524004609 logp*logq = 23.52404164543450231 -------------- ************************************* p = 67; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16978058299.86808785 -------------- Searches starting with [67,271]-exponents: u = 449, v = 3 n_start has 828 digits --- performed 5000 steps in the continued fraction search [67,271]-exponents: u = 330, v = 81 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,271) = 0.6562540724886399319 D2(67,271) = 0.2922962554512689194 C1(67,271) = 0.8105866987834930234 C2(67,271) = 1.318861244800837520 C3(67,271) = 3.203248922224165754 C4(67,271) = 2168 Sum = 5814.209763838252998 Averaged sum = 0.5814791242962549253 logp*logq = 23.55518765910409978 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,271) = 0.6562540724886399319 D2(67,271) = 0.2922962554512689194 C1(67,271) = 0.8105866987834930234 C2(67,271) = 1.318861244800837520 C3(67,271) = 3.203248922224165754 C4(67,271) = 2168 Sum = 5814.209763838252998 Averaged sum = 0.5814791242962549253 logp*logq = 23.55518765910409978 -------------- ************************************* p = 67; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18615583688.44002261 -------------- Searches starting with [67,277]-exponents: u = 4, v = 77 n_start has 196 digits starting right neighbors generation We generated 3126 left neighbors We generated 6884 right neighbors We generated 10009 non-negative rho_i D1(67,277) = 0.6447007802485854258 D2(67,277) = 0.007210662144794378245 C1(67,277) = 0.8428505652768103456 C2(67,277) = 1.397954703023916291 C3(67,277) = 3.355171834194856263 C4(67,277) = 2216 Sum = 5035.778054229084260 Averaged sum = 0.5031249929292720811 logp*logq = 23.64726489959148898 -------------- ************************************* p = 67; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19772309063.78844235 -------------- Searches starting with [67,281]-exponents: u = 4, v = 41 n_start has 108 digits starting right neighbors generation We generated 924 left neighbors We generated 9086 right neighbors We generated 10009 non-negative rho_i D1(67,281) = 0.8212795014823413995 D2(67,281) = 0.01203458597956717477 C1(67,281) = 1.110552773684461178 C2(67,281) = 1.545115020062498133 C3(67,281) = 4.928216792516158828 C4(67,281) = 2248 Sum = 5185.435820051537221 Averaged sum = 0.5180773124239721472 logp*logq = 23.70754826365619177 -------------- ************************************* p = 67; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20370811485.64834965 -------------- Searches starting with [67,283]-exponents: u = 4, v = 35 n_start has 94 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(67,283) = 0.9226600601606799445 D2(67,283) = 0.03190291250394283505 C1(67,283) = 1.174705194333164832 C2(67,283) = 1.602442170117959338 C3(67,283) = 5.403857229035413902 C4(67,283) = 2264 Sum = 4478.856733509336333 Averaged sum = 0.4474829387060981449 logp*logq = 23.73736890368414786 -------------- ************************************* p = 67; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23573283343.61303827 -------------- Searches starting with [67,293]-exponents: u = 4, v = 17 n_start has 50 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(67,293) = 0.8239794976582738912 D2(67,293) = 0.04968124003533067480 C1(67,293) = 1.096413509250421076 C2(67,293) = 1.789645745314313233 C3(67,293) = 4.829149614043450495 C4(67,293) = 2344 Sum = 5044.303979567737216 Averaged sum = 0.5039768188198358693 logp*logq = 23.88337984600079045 -------------- ************************************* p = 67; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28684835969.75472786 -------------- Searches starting with [67,307]-exponents: u = 4, v = 11 n_start has 35 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(67,307) = 0.7397616793933003260 D2(67,307) = 0.1417152558006232012 C1(67,307) = 0.9829174644844750834 C2(67,307) = 1.979866283200788891 C3(67,307) = 4.102790016245193912 C4(67,307) = 2456 Sum = 4931.625952980244013 Averaged sum = 0.4927191480647661118 logp*logq = 24.07963445665566603 -------------- ************************************* p = 67; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30289437601.31181921 -------------- Searches starting with [67,311]-exponents: u = 4, v = 8 n_start has 28 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(67,311) = 0.9652347320631865732 D2(67,311) = 0.1540156243303181808 C1(67,311) = 1.276452331515754932 C2(67,311) = 1.855489018338998363 C3(67,311) = 6.254131966492699234 C4(67,311) = 2488 Sum = 5455.561037143969713 Averaged sum = 0.5450655447241452405 logp*logq = 24.13406489467260519 -------------- ************************************* p = 67; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31116938208.03342599 -------------- Searches starting with [67,313]-exponents: u = 4, v = 8 n_start has 28 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(67,313) = 0.9833098269397958897 D2(67,313) = 0.1415639277747006190 C1(67,313) = 1.363602607499059299 C2(67,313) = 1.844264383821188740 C3(67,313) = 7.088031732248899345 C4(67,313) = 2504 Sum = 4232.774256565726741 Averaged sum = 0.4228968185199047598 logp*logq = 24.16101814478500327 -------------- ************************************* p = 67; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32823540215.56022303 -------------- Searches starting with [67,317]-exponents: u = 4, v = 8 n_start has 28 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(67,317) = 0.7658233937510973180 D2(67,317) = 0.02841954394029479143 C1(67,317) = 1.031293030520686002 C2(67,317) = 2.003359501334527561 C3(67,317) = 4.397975316365084121 C4(67,317) = 2536 Sum = 4713.609324759053062 Averaged sum = 0.4709370890957191590 logp*logq = 24.21441178441934394 -------------- ************************************* p = 67; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39364266880.85304887 -------------- Searches starting with [67,331]-exponents: u = 11, v = 5 n_start has 33 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(67,331) = 0.7081831026330993158 D2(67,331) = 0.05351403075948699663 C1(67,331) = 0.9484010123988942370 C2(67,331) = 1.939817868145082631 C3(67,331) = 3.904363072762136230 C4(67,331) = 2648 Sum = 4660.121081283796568 Averaged sum = 0.4655930743614543479 logp*logq = 24.39612430978063908 -------------- ************************************* p = 67; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42452843896.83473899 -------------- Searches starting with [67,337]-exponents: u = 11, v = 5 n_start has 33 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(67,337) = 0.8653586368031906656 D2(67,337) = 0.02539917660293601947 C1(67,337) = 1.295393983706026565 C2(67,337) = 1.915504634806694987 C3(67,337) = 6.426604860973841238 C4(67,337) = 2696 Sum = 4402.986326220103516 Averaged sum = 0.4399027201738538831 logp*logq = 24.47165974149592130 -------------- ************************************* p = 67; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48007002885.61717757 -------------- Searches starting with [67,347]-exponents: u = 25, v = 5 n_start has 59 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(67,347) = 0.8459361540468997212 D2(67,347) = 0.07181413228810365633 C1(67,347) = 1.196503952427009805 C2(67,347) = 1.813411792952522680 C3(67,347) = 5.575714121068442071 C4(67,347) = 2776 Sum = 4285.713088245228249 Averaged sum = 0.4281859414771933509 logp*logq = 24.59461273066324552 -------------- ************************************* p = 67; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49181220837.50716355 -------------- Searches starting with [67,349]-exponents: u = 32, v = 5 n_start has 72 digits starting right neighbors generation We generated 477 left neighbors We generated 9533 right neighbors We generated 10009 non-negative rho_i D1(67,349) = 0.7813481934161832718 D2(67,349) = 0.04843437439971782568 C1(67,349) = 1.005606302205107026 C2(67,349) = 1.791201684168419991 C3(67,349) = 4.238684534570375999 C4(67,349) = 2792 Sum = 4698.981478958054497 Averaged sum = 0.4694756198379512936 logp*logq = 24.61877769728782211 -------------- ************************************* p = 67; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51595223683.70426189 -------------- Searches starting with [67,353]-exponents: u = 53, v = 5 n_start has 110 digits starting right neighbors generation We generated 1239 left neighbors We generated 8771 right neighbors We generated 10009 non-negative rho_i D1(67,353) = 0.6766117258301414116 D2(67,353) = 0.005757329935067646630 C1(67,353) = 0.9139568238904336083 C2(67,353) = 1.750843661021591048 C3(67,353) = 3.715918467691743396 C4(67,353) = 2824 Sum = 4703.138565461529459 Averaged sum = 0.4698909546869347046 logp*logq = 24.66669494088029459 -------------- ************************************* p = 67; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55384312591.06700562 -------------- Searches starting with [67,359]-exponents: u = 361, v = 5 n_start has 672 digits --- performed 5000 steps in the continued fraction search [67,359]-exponents: u = 225, v = 88 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,359) = 0.7865800587266556259 D2(67,359) = 0.3103880897741225287 C1(67,359) = 0.9784140933040238212 C2(67,359) = 1.410657920719058360 C3(67,359) = 4.076339836931534760 C4(67,359) = 2872 Sum = 5620.657912873758578 Averaged sum = 0.5621220034877246302 logp*logq = 24.73756222437429612 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,359) = 0.7865800587266556259 D2(67,359) = 0.3103880897741225287 C1(67,359) = 0.9784140933040238212 C2(67,359) = 1.410657920719058360 C3(67,359) = 4.076339836931534760 C4(67,359) = 2872 Sum = 5620.657912873758578 Averaged sum = 0.5621220034877246302 logp*logq = 24.73756222437429612 -------------- ************************************* p = 67; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60762057530.91267648 -------------- Searches starting with [67,367]-exponents: u = 7, v = 42 n_start has 121 digits starting right neighbors generation We generated 1423 left neighbors We generated 8587 right neighbors We generated 10009 non-negative rho_i D1(67,367) = 0.7447106305521182954 D2(67,367) = 0.03385130278366432638 C1(67,367) = 0.9662285980780728344 C2(67,367) = 1.702530090385119756 C3(67,367) = 4.005621158394710080 C4(67,367) = 2936 Sum = 4814.290917986419269 Averaged sum = 0.4809961952229412797 logp*logq = 24.83023137734804718 -------------- ************************************* p = 67; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65049676983.07383935 -------------- Searches starting with [67,373]-exponents: u = 7, v = 22 n_start has 70 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(67,373) = 0.8548936564096386746 D2(67,373) = 0.04552334767236947501 C1(67,373) = 1.094235714282095828 C2(67,373) = 1.822002869189980738 C3(67,373) = 4.814068829756242705 C4(67,373) = 2984 Sum = 4440.728952543255576 Averaged sum = 0.4436735890242037742 logp*logq = 24.89841707622117200 -------------- ************************************* p = 67; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69564113374.43638571 -------------- Searches starting with [67,379]-exponents: u = 7, v = 12 n_start has 44 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(67,379) = 1.347024868466327904 D2(67,379) = 0.1050819249461961362 C1(67,379) = 1.701929486753621147 C2(67,379) = 1.884337934472191888 C3(67,379) = 11.52263264571333673 C4(67,379) = 3032 Sum = 4463.882536246173714 Averaged sum = 0.4459868654457162268 logp*logq = 24.96551465887672349 -------------- ************************************* p = 67; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72703751227.84335841 -------------- Searches starting with [67,383]-exponents: u = 7, v = 12 n_start has 44 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(67,383) = 1.073273280786712555 D2(67,383) = 0.1503367825197253391 C1(67,383) = 1.452897036683250078 C2(67,383) = 1.931418977293848785 C3(67,383) = 8.057895803053056010 C4(67,383) = 3064 Sum = 5560.477859941688130 Averaged sum = 0.5555477929804863752 logp*logq = 25.00965881888708685 -------------- ************************************* p = 67; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77614340806.19253407 -------------- Searches starting with [67,389]-exponents: u = 7, v = 7 n_start has 31 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(67,389) = 0.6010398217775563482 D2(67,389) = 0.003039395297060523711 C1(67,389) = 0.7759765131233936709 C2(67,389) = 1.959487648431159486 C3(67,389) = 3.047916959049062751 C4(67,389) = 3112 Sum = 4694.554683295627521 Averaged sum = 0.4690333383250701889 logp*logq = 25.07501805126490300 -------------- ************************************* p = 67; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84550321461.42385619 -------------- Searches starting with [67,397]-exponents: u = 7, v = 7 n_start has 31 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(67,397) = 0.9387909745826136440 D2(67,397) = 0.02338817550559520897 C1(67,397) = 1.312184319231752356 C2(67,397) = 1.983834460573968049 C3(67,397) = 6.583461581966956189 C4(67,397) = 3176 Sum = 3626.079455048744482 Averaged sum = 0.3622818918022524210 logp*logq = 25.16061271431125777 -------------- ************************************* p = 67; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88190525566.65840893 -------------- Searches starting with [67,401]-exponents: u = 7, v = 7 n_start has 32 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(67,401) = 1.122049375504057092 D2(67,401) = 0.03373750724265924708 C1(67,401) = 1.505308937227064572 C2(67,401) = 1.996151968108254292 C3(67,401) = 8.687858618337942979 C4(67,401) = 3208 Sum = 4340.012548068464538 Averaged sum = 0.4336110049024342629 logp*logq = 25.20276537431007199 -------------- ************************************* p = 67; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95828285274.59322474 -------------- Searches starting with [67,409]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(67,409) = 0.9712617052761425109 D2(67,409) = 0.03129892419432359135 C1(67,409) = 1.261135724176275680 C2(67,409) = 2.171830146734542861 C3(67,409) = 6.118057414648636369 C4(67,409) = 3272 Sum = 5277.976447111196950 Averaged sum = 0.5273230539625533969 logp*logq = 25.28582373173276027 -------------- ************************************* p = 67; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106072779427.6763029 -------------- Searches starting with [67,419]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(67,419) = 0.7779622253080406626 D2(67,419) = 0.06962761539726965904 C1(67,419) = 1.055530587303543006 C2(67,419) = 1.741497224554455408 C3(67,419) = 4.553764655123646794 C4(67,419) = 3352 Sum = 4280.703323343275745 Averaged sum = 0.4276854154604132026 logp*logq = 25.38739129383195517 -------------- ************************************* p = 67; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108218013998.6375097 -------------- Searches starting with [67,421]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(67,421) = 0.7971819702709229158 D2(67,421) = 0.07436305051521017773 C1(67,421) = 1.162359218742428331 C2(67,421) = 1.747021860036151571 C3(67,421) = 5.308884274570338505 C4(67,421) = 3368 Sum = 4333.030961820682701 Averaged sum = 0.4329134740554183936 logp*logq = 25.40741367747382809 -------------- ************************************* p = 67; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119444768702.5218452 -------------- Searches starting with [67,431]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(67,431) = 0.6711172669340122627 D2(67,431) = 0.1075462409713767228 C1(67,431) = 1.047075510758386403 C2(67,431) = 1.934454374876233916 C3(67,431) = 4.498801808651671171 C4(67,431) = 3448 Sum = 4215.131244977469248 Averaged sum = 0.4211341038043230340 logp*logq = 25.50611991488705764 -------------- ************************************* p = 67; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121792683324.4894917 -------------- Searches starting with [67,433]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(67,433) = 0.9254422417980635126 D2(67,433) = 0.08170572432819627039 C1(67,433) = 1.443718485302830346 C2(67,433) = 1.250072941471117579 C3(67,433) = 7.952371685397562706 C4(67,433) = 3464 Sum = 4525.612497462737511 Averaged sum = 0.4521543108664939066 logp*logq = 25.52558611919035108 -------------- ************************************* p = 67; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129047936730.8705211 -------------- Searches starting with [67,439]-exponents: u = 13, v = 2 n_start has 30 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(67,439) = 0.8394790005534525714 D2(67,439) = 0.08008708005731637789 C1(67,439) = 1.090022340572722400 C2(67,439) = 2.103387312395955156 C3(67,439) = 4.785025646907457063 C4(67,439) = 3512 Sum = 4755.990813512912350 Averaged sum = 0.4751714270669309971 logp*logq = 25.58344977484583783 -------------- ************************************* p = 67; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134064630509.2133162 -------------- Searches starting with [67,443]-exponents: u = 13, v = 2 n_start has 30 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(67,443) = 0.7184412100327920856 D2(67,443) = 0.04413455944171214031 C1(67,443) = 0.9425009038622254352 C2(67,443) = 2.069602210739311053 C3(67,443) = 3.871418283812538247 C4(67,443) = 3544 Sum = 4774.415305449472280 Averaged sum = 0.4770122195473546088 logp*logq = 25.62158783785268808 -------------- ************************************* p = 67; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141866748415.3458958 -------------- Searches starting with [67,449]-exponents: u = 13, v = 2 n_start has 30 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(67,449) = 0.8542794281589664774 D2(67,449) = 0.1505082939758492691 C1(67,449) = 1.152735954311252454 C2(67,449) = 1.887039568847578154 C3(67,449) = 5.236015202741874290 C4(67,449) = 3592 Sum = 4228.482535978116651 Averaged sum = 0.4224680323686798532 logp*logq = 25.67815406254156088 -------------- ************************************* p = 67; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152802343377.1763723 -------------- Searches starting with [67,457]-exponents: u = 16, v = 2 n_start has 35 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(67,457) = 0.6827373165230484303 D2(67,457) = 0.1261813066241748452 C1(67,457) = 0.9159406054469587555 C2(67,457) = 2.062518607108969660 C3(67,457) = 3.726520622238819320 C4(67,457) = 3656 Sum = 4626.291637174527651 Averaged sum = 0.4622131718627762664 logp*logq = 25.75241104979929764 -------------- ************************************* p = 67; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 158505238973.0153604 -------------- Searches starting with [67,461]-exponents: u = 16, v = 2 n_start has 35 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(67,461) = 0.7928337422118503500 D2(67,461) = 0.07908237117417181200 C1(67,461) = 1.017472174655834881 C2(67,461) = 2.017418889905958917 C3(67,461) = 4.311538280133235362 C4(67,461) = 3688 Sum = 4499.389905507661708 Averaged sum = 0.4495344095821422427 logp*logq = 25.78905348317500313 -------------- ************************************* p = 67; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161416794764.9242332 -------------- Searches starting with [67,463]-exponents: u = 16, v = 2 n_start has 35 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(67,463) = 0.6819420808813900539 D2(67,463) = 0.05760315715377165166 C1(67,463) = 0.8841248625293301598 C2(67,463) = 1.996932747824881629 C3(67,463) = 3.560073466710236620 C4(67,463) = 3704 Sum = 4550.003417827952805 Averaged sum = 0.4545912096940706170 logp*logq = 25.80725564415264516 -------------- ************************************* p = 67; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167362049878.7027539 -------------- Searches starting with [67,467]-exponents: u = 19, v = 2 n_start has 41 digits starting right neighbors generation We generated 108 left neighbors We generated 9902 right neighbors We generated 10009 non-negative rho_i D1(67,467) = 0.9877564830762679403 D2(67,467) = 0.01789191037799523083 C1(67,467) = 1.469551843195664032 C2(67,467) = 1.959194758483814096 C3(67,467) = 8.252961526004236465 C4(67,467) = 3736 Sum = 3302.335491559206402 Averaged sum = 0.3299366062103313419 logp*logq = 25.84342526606716780 -------------- ************************************* p = 67; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 186203118733.6962460 -------------- Searches starting with [67,479]-exponents: u = 22, v = 2 n_start has 46 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(67,479) = 0.6701991131932868013 D2(67,479) = 0.03766648032802018671 C1(67,479) = 0.8835821200900408430 C2(67,479) = 1.910812954368232554 C3(67,479) = 3.557299515790099728 C4(67,479) = 3832 Sum = 4720.395318718679288 Averaged sum = 0.4716150783013966718 logp*logq = 25.95010395102449126 -------------- ************************************* p = 67; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199633392747.9265464 -------------- Searches starting with [67,487]-exponents: u = 25, v = 2 n_start has 52 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(67,487) = 0.7628302426790390982 D2(67,487) = 0.06393726545797267626 C1(67,487) = 1.014299355568508823 C2(67,487) = 1.881630557393208099 C3(67,487) = 4.291936129759091544 C4(67,487) = 3896 Sum = 4838.576689193087266 Averaged sum = 0.4834225885895781063 logp*logq = 26.01974848516727406 -------------- ************************************* p = 67; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 206619110758.6922181 -------------- Searches starting with [67,491]-exponents: u = 28, v = 2 n_start has 57 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(67,491) = 1.439293289085496628 D2(67,491) = 0.01273037283261763009 C1(67,491) = 2.059637788046900444 C2(67,491) = 1.832187447517666153 C3(67,491) = 19.26045915883869417 C4(67,491) = 3928 Sum = 2858.795444718208836 Averaged sum = 0.2856224842360084760 logp*logq = 26.05414289060611277 -------------- ************************************* p = 67; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 221148221237.7694585 -------------- Searches starting with [67,499]-exponents: u = 31, v = 2 n_start has 63 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(67,499) = 0.6472899817112265390 D2(67,499) = 0.003132291557356799601 C1(67,499) = 0.8496020813215382730 C2(67,499) = 1.777212367142333923 C3(67,499) = 3.387863619003773155 C4(67,499) = 3992 Sum = 4721.110747795122847 Averaged sum = 0.4716865568783217951 logp*logq = 26.12209899798973591 -------------- ************************************* p = 67; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 228698316430.9686362 -------------- Searches starting with [67,503]-exponents: u = 34, v = 2 n_start has 68 digits starting right neighbors generation We generated 250 left neighbors We generated 9760 right neighbors We generated 10009 non-negative rho_i D1(67,503) = 0.9139827159374224225 D2(67,503) = 0.02606844567037568984 C1(67,503) = 1.194339096248274256 C2(67,503) = 1.760523273743318430 C3(67,503) = 5.558405205550928847 C4(67,503) = 4024 Sum = 5026.790298325488202 Averaged sum = 0.5022270255095901890 logp*logq = 26.15566957647436756 -------------- ************************************* p = 67; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 240389936182.0761979 -------------- Searches starting with [67,509]-exponents: u = 40, v = 2 n_start has 79 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(67,509) = 0.6107645599497320461 D2(67,509) = 0.003299760188129951833 C1(67,509) = 0.8092738221829696322 C2(67,509) = 1.704594654035549539 C3(67,509) = 3.197214711105669112 C4(67,509) = 4072 Sum = 4578.229725907337253 Averaged sum = 0.4574113024185570240 logp*logq = 26.20552817592784846 -------------- ************************************* p = 67; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 265135281610.0127288 -------------- Searches starting with [67,521]-exponents: u = 58, v = 2 n_start has 112 digits starting right neighbors generation We generated 626 left neighbors We generated 9384 right neighbors We generated 10009 non-negative rho_i D1(67,521) = 1.370906565858404520 D2(67,521) = 0.03089655619083823409 C1(67,521) = 1.849855480132596013 C2(67,521) = 1.610910502215583187 C3(67,521) = 14.25011027725046998 C4(67,521) = 4168 Sum = 7003.447149384526518 Averaged sum = 0.6997149714641349303 logp*logq = 26.30350602931510964 -------------- ************************************* p = 67; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269441189426.6191629 -------------- Searches starting with [67,523]-exponents: u = 64, v = 2 n_start has 123 digits starting right neighbors generation We generated 795 left neighbors We generated 9215 right neighbors We generated 10009 non-negative rho_i D1(67,523) = 0.6005108376775669571 D2(67,523) = 0.02399082535912419438 C1(67,523) = 0.8056336998875881568 C2(67,523) = 1.586206570430957626 C3(67,523) = 3.180543455117501006 C4(67,523) = 4184 Sum = 4790.361167406203074 Averaged sum = 0.4786053719059049929 logp*logq = 26.31961598243027896 -------------- ************************************* p = 67; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 310637847312.2675002 -------------- Searches starting with [67,541]-exponents: u = 229, v = 2 n_start has 424 digits --- performed 5000 steps in the continued fraction search [67,541]-exponents: u = 11, v = 124 --- starting right neighbors generation We generated 9746 left neighbors We generated 264 right neighbors We generated 10009 non-negative rho_i D1(67,541) = 0.6886804986674058833 D2(67,541) = 0.006473721643406538549 C1(67,541) = 0.8702727629907594029 C2(67,541) = 1.291743966967233257 C3(67,541) = 3.489947801455676012 C4(67,541) = 4328 Sum = 5295.379325313162967 Averaged sum = 0.5290617769320774270 logp*logq = 26.46189359249861702 -------------- ************************************* p = 67; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 325383182832.1250862 -------------- Searches starting with [67,547]-exponents: u = 1216, v = 2 n_start has 2226 digits --- performed 5000 steps in the continued fraction search [67,547]-exponents: u = 778, v = 290 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,547) = 0.7430410355094674677 D2(67,547) = 0.4434934259274218489 C1(67,547) = 0.8932744631152872141 C2(67,547) = 1.426075601998408984 C3(67,547) = 3.607163930019056482 C4(67,547) = 4376 Sum = 6160.031954755738638 Averaged sum = 0.6160648019557694407 logp*logq = 26.50826934887191920 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,547) = 0.7430410355094674677 D2(67,547) = 0.4434934259274218489 C1(67,547) = 0.8932744631152872141 C2(67,547) = 1.426075601998408984 C3(67,547) = 3.607163930019056482 C4(67,547) = 4376 Sum = 6160.031954755738638 Averaged sum = 0.6160648019557694407 logp*logq = 26.50826934887191920 -------------- ************************************* p = 67; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 351137387055.0134397 -------------- Searches starting with [67,557]-exponents: u = 3, v = 135 n_start has 377 digits --- performed 5000 steps in the continued fraction search [67,557]-exponents: u = 28, v = 91 --- starting right neighbors generation We generated 7888 left neighbors We generated 2122 right neighbors We generated 10009 non-negative rho_i D1(67,557) = 0.7504303802647024939 D2(67,557) = 0.001160456030327665812 C1(67,557) = 0.9532778713463146969 C2(67,557) = 1.318034256372114336 C3(67,557) = 3.931805814206779983 C4(67,557) = 4456 Sum = 5177.843719597198483 Averaged sum = 0.5173187850531719935 logp*logq = 26.58444339994012364 -------------- ************************************* p = 67; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 367318115391.1098668 -------------- Searches starting with [67,563]-exponents: u = 3, v = 79 n_start has 223 digits starting right neighbors generation We generated 2662 left neighbors We generated 7348 right neighbors We generated 10009 non-negative rho_i D1(67,563) = 0.6016050905850566476 D2(67,563) = 0.01175282798369714343 C1(67,563) = 0.7814598289626821838 C2(67,563) = 1.438943037054832554 C3(67,563) = 3.072014507570851409 C4(67,563) = 4504 Sum = 4939.219553483154441 Averaged sum = 0.4934778253055404577 logp*logq = 26.62949410897811823 -------------- ************************************* p = 67; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 384061003297.1343862 -------------- Searches starting with [67,569]-exponents: u = 3, v = 57 n_start has 163 digits starting right neighbors generation We generated 1479 left neighbors We generated 8531 right neighbors We generated 10009 non-negative rho_i D1(67,569) = 1.025244351099086797 D2(67,569) = 0.01005996981652196691 C1(67,569) = 1.355811151873576879 C2(67,569) = 1.522605036969734339 C3(67,569) = 7.009158088487527493 C4(67,569) = 4552 Sum = 4193.675753887707298 Averaged sum = 0.4189904839532128382 logp*logq = 26.67406723966974127 -------------- ************************************* p = 67; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 389769182937.4160196 -------------- Searches starting with [67,571]-exponents: u = 3, v = 51 n_start has 147 digits starting right neighbors generation We generated 1196 left neighbors We generated 8814 right neighbors We generated 10009 non-negative rho_i D1(67,571) = 0.7380559240503906004 D2(67,571) = 0.001121271232112594335 C1(67,571) = 0.9476975164275834884 C2(67,571) = 1.542322502244791855 C3(67,571) = 3.900420245821707460 C4(67,571) = 4568 Sum = 4793.412371413276074 Averaged sum = 0.4789102179451769481 logp*logq = 26.68882056224248344 -------------- ************************************* p = 67; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 407282324230.6119872 -------------- Searches starting with [67,577]-exponents: u = 3, v = 41 n_start has 119 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(67,577) = 0.7068288526191172846 D2(67,577) = 0.02504460365622719868 C1(67,577) = 0.9528026107538820198 C2(67,577) = 1.618779712676991142 C3(67,577) = 3.929122997892144916 C4(67,577) = 4616 Sum = 3605.215910133288534 Averaged sum = 0.3601974133413216639 logp*logq = 26.73277245323853767 -------------- ************************************* p = 67; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 437796404070.1498709 -------------- Searches starting with [67,587]-exponents: u = 3, v = 29 n_start has 86 digits starting right neighbors generation We generated 393 left neighbors We generated 9617 right neighbors We generated 10009 non-negative rho_i D1(67,587) = 0.9937590629344165789 D2(67,587) = 0.007469125892702301398 C1(67,587) = 1.364456007132091987 C2(67,587) = 1.697800749339124344 C3(67,587) = 7.096724529737738440 C4(67,587) = 4696 Sum = 5417.518496421577769 Averaged sum = 0.5412647114018960704 logp*logq = 26.80501980836542032 -------------- ************************************* p = 67; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 456922561057.5370853 -------------- Searches starting with [67,593]-exponents: u = 3, v = 25 n_start has 75 digits starting right neighbors generation We generated 277 left neighbors We generated 9733 right neighbors We generated 10009 non-negative rho_i D1(67,593) = 0.9404565467458504845 D2(67,593) = 0.03209985601540040496 C1(67,593) = 1.304172340897779233 C2(67,593) = 1.754834687558008474 C3(67,593) = 6.508141102159201100 C4(67,593) = 4744 Sum = 5047.287280024604090 Averaged sum = 0.5042748806099114886 logp*logq = 26.84777976284227150 -------------- ************************************* p = 67; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 476679045449.9649645 -------------- Searches starting with [67,599]-exponents: u = 3, v = 23 n_start has 70 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(67,599) = 0.6508748246151411356 D2(67,599) = 0.03949044350128822378 C1(67,599) = 0.8306941685899642631 C2(67,599) = 1.799028561469760414 C3(67,599) = 3.297102178769001274 C4(67,599) = 4792 Sum = 4368.900917552512729 Averaged sum = 0.4364972442354393774 logp*logq = 26.89010924067050441 -------------- ************************************* p = 67; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 483407053097.6144220 -------------- Searches starting with [67,601]-exponents: u = 3, v = 21 n_start has 64 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(67,601) = 1.135926835404811592 D2(67,601) = 0.06643183502918963030 C1(67,601) = 1.594790340952715993 C2(67,601) = 1.826484570759581060 C3(67,601) = 9.879281520642080761 C4(67,601) = 4808 Sum = 5465.773338427879269 Averaged sum = 0.5460858565718732410 logp*logq = 26.90412489571260895 -------------- ************************************* p = 67; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 504026009038.9981292 -------------- Searches starting with [67,607]-exponents: u = 3, v = 19 n_start has 59 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(67,607) = 1.146924849979155824 D2(67,607) = 0.05112574145722626009 C1(67,607) = 1.452068480710588459 C2(67,607) = 1.853609125299434720 C3(67,607) = 8.048312826874828408 C4(67,607) = 4856 Sum = 4387.135436698141167 Averaged sum = 0.4383190565189470643 logp*logq = 26.94589370892238278 -------------- ************************************* p = 67; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 525308567598.5790482 -------------- Searches starting with [67,613]-exponents: u = 3, v = 17 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(67,613) = 0.9052051638630505071 D2(67,613) = 0.01691099706575041561 C1(67,613) = 1.291288478459744971 C2(67,613) = 1.869219942352786587 C3(67,613) = 6.388822964868531628 C4(67,613) = 4904 Sum = 4338.418758236643286 Averaged sum = 0.4334517692313561081 logp*logq = 26.98725167468875877 -------------- ************************************* p = 67; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 539872784973.7292641 -------------- Searches starting with [67,617]-exponents: u = 3, v = 17 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(67,617) = 0.6561917305082904860 D2(67,617) = 0.05717217207466399229 C1(67,617) = 0.8356232392429855404 C2(67,617) = 1.910524672605036022 C3(67,617) = 3.320525628365446179 C4(67,617) = 4936 Sum = 4468.572135830979450 Averaged sum = 0.4464554037197501698 logp*logq = 27.01459936536862442 -------------- ************************************* p = 67; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 547269276331.8336774 -------------- Searches starting with [67,619]-exponents: u = 3, v = 17 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(67,619) = 0.6596703254766633624 D2(67,619) = 0.07885929010093781433 C1(67,619) = 0.9504956442559564266 C2(67,619) = 1.932731006069334125 C3(67,619) = 3.916126302917985480 C4(67,619) = 4952 Sum = 4330.522064067527412 Averaged sum = 0.4326628098778626648 logp*logq = 27.02820679672507453 -------------- ************************************* p = 67; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 593284197648.4176158 -------------- Searches starting with [67,631]-exponents: u = 3, v = 13 n_start has 42 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(67,631) = 1.400246385174028799 D2(67,631) = 0.06473007521399832536 C1(67,631) = 2.041623912565621849 C2(67,631) = 1.980099183759809920 C3(67,631) = 18.76855187665378794 C4(67,631) = 5048 Sum = 5422.584363124597300 Averaged sum = 0.5417708425541609850 logp*logq = 27.10893937518314531 -------------- ************************************* p = 67; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 633833574680.7147973 -------------- Searches starting with [67,641]-exponents: u = 3, v = 13 n_start has 42 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(67,641) = 0.7266026829506978562 D2(67,641) = 0.1661927015154474131 C1(67,641) = 0.9627613797505011783 C2(67,641) = 1.579149145838424936 C3(67,641) = 3.985724255419253506 C4(67,641) = 5128 Sum = 4233.272260846806479 Averaged sum = 0.4229465741679295113 logp*logq = 27.17505225642074494 -------------- ************************************* p = 67; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 642190610664.0433851 -------------- Searches starting with [67,643]-exponents: u = 3, v = 13 n_start has 42 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(67,643) = 0.7593801087178450172 D2(67,643) = 0.01072738920802103189 C1(67,643) = 1.123487990935262738 C2(67,643) = 2.002042103026604904 C3(67,643) = 5.020626826196508187 C4(67,643) = 5144 Sum = 4322.709120752300783 Averaged sum = 0.4318822180789590152 logp*logq = 27.18815099791575176 -------------- ************************************* p = 67; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 659156414536.2629890 -------------- Searches starting with [67,647]-exponents: u = 3, v = 11 n_start has 37 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(67,647) = 0.8656794310040563202 D2(67,647) = 0.03817029645395875538 C1(67,647) = 1.118381958562025734 C2(67,647) = 2.030536257501730733 C3(67,647) = 4.983943782886320529 C4(67,647) = 5176 Sum = 4569.911913698533602 Averaged sum = 0.4565802691276384855 logp*logq = 27.21422669463040462 -------------- ************************************* p = 67; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 685243110087.4993783 -------------- Searches starting with [67,653]-exponents: u = 3, v = 11 n_start has 37 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(67,653) = 0.8205596237973135723 D2(67,653) = 0.08257828109288051074 C1(67,653) = 1.146936970485806691 C2(67,653) = 2.076508838229931279 C3(67,653) = 5.192588103433639573 C4(67,653) = 5224 Sum = 3925.311181615135423 Averaged sum = 0.3921781578194760139 logp*logq = 27.25303951748189516 -------------- ************************************* p = 67; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 712109365668.7562701 -------------- Searches starting with [67,659]-exponents: u = 3, v = 11 n_start has 37 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(67,659) = 0.9892899626627947599 D2(67,659) = 0.1320986151609366950 C1(67,659) = 1.269591195176882352 C2(67,659) = 2.127579279630320686 C3(67,659) = 6.192806569641401966 C4(67,659) = 5272 Sum = 4560.246737582141929 Averaged sum = 0.4556146205996744859 logp*logq = 27.29149734002993655 -------------- ************************************* p = 67; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 721240759258.0794026 -------------- Searches starting with [67,661]-exponents: u = 3, v = 11 n_start has 37 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(67,661) = 0.7033036396045239862 D2(67,661) = 0.1247626164176075758 C1(67,661) = 1.059904910077848572 C2(67,661) = 1.474422395539598856 C3(67,661) = 4.582463314667720327 C4(67,661) = 5288 Sum = 4616.743754540333071 Averaged sum = 0.4612592421361108074 logp*logq = 27.30423884256613073 -------------- ************************************* p = 67; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 777918443256.5337749 -------------- Searches starting with [67,673]-exponents: u = 3, v = 9 n_start has 31 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(67,673) = 0.7742297482055796781 D2(67,673) = 0.01171642214970174769 C1(67,673) = 0.9895241849555145815 C2(67,673) = 2.105749520583227268 C3(67,673) = 4.141904945875498637 C4(67,673) = 5384 Sum = 4487.855772049804784 Averaged sum = 0.4483820333749430297 logp*logq = 27.37988752691078031 -------------- ************************************* p = 67; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 797545159895.8029943 -------------- Searches starting with [67,677]-exponents: u = 3, v = 9 n_start has 31 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(67,677) = 0.9917620938229760333 D2(67,677) = 0.03290081022033129444 C1(67,677) = 1.406548118472538116 C2(67,677) = 2.127978338982864283 C3(67,677) = 7.538973892549813685 C4(67,677) = 5416 Sum = 3786.268297061523157 Averaged sum = 0.3782863719713780755 logp*logq = 27.40480429683076555 -------------- ************************************* p = 67; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 827690199835.5995210 -------------- Searches starting with [67,683]-exponents: u = 3, v = 9 n_start has 31 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(67,683) = 0.7147168766504237575 D2(67,683) = 0.06638582313708054345 C1(67,683) = 0.9357326698447486503 C2(67,683) = 2.163018324934677580 C3(67,683) = 3.833968297254723123 C4(67,683) = 5464 Sum = 4553.022911507898835 Averaged sum = 0.4548928875519930897 logp*logq = 27.44190476653038047 -------------- ************************************* p = 67; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 869225360334.6338136 -------------- Searches starting with [67,691]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(67,691) = 0.9290458314931177046 D2(67,691) = 0.07467304743487829974 C1(67,691) = 1.434714845110348737 C2(67,691) = 1.284790737483587787 C3(67,691) = 7.850201267262330130 C4(67,691) = 5528 Sum = 4309.969379885207908 Averaged sum = 0.4306093895379366478 logp*logq = 27.49086826154207315 -------------- ************************************* p = 67; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 923356789673.4123111 -------------- Searches starting with [67,701]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(67,701) = 0.6269069687708033181 D2(67,701) = 0.1003614847594796129 C1(67,701) = 0.8149745502059650841 C2(67,701) = 2.000399668892322846 C3(67,701) = 3.223499015603310307 C4(67,701) = 5608 Sum = 4605.057091213315748 Averaged sum = 0.4600916266573399688 logp*logq = 27.55128155111543494 -------------- ************************************* p = 67; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 968481179675.6524986 -------------- Searches starting with [67,709]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(67,709) = 0.7189420753959338182 D2(67,709) = 0.08769401002817905296 C1(67,709) = 0.9672167791820810267 C2(67,709) = 1.989926752678630064 C3(67,709) = 4.011310079591470648 C4(67,709) = 5672 Sum = 4188.023080999795871 Averaged sum = 0.4184257249475268130 logp*logq = 27.59899488715823989 -------------- ************************************* p = 67; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1027228076126.992767 -------------- Searches starting with [67,719]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(67,719) = 0.5938467746399871717 D2(67,719) = 0.06676869997612410252 C1(67,719) = 0.7802839394431672858 C2(67,719) = 1.817716791928250202 C3(67,719) = 3.066830825048526610 C4(67,719) = 5752 Sum = 4584.385731053371473 Averaged sum = 0.4580263493908853505 logp*logq = 27.65788510218672421 -------------- ************************************* p = 67; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1076149522876.418262 -------------- Searches starting with [67,727]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(67,727) = 0.6762355597157409523 D2(67,727) = 0.0001233286082580731005 C1(67,727) = 0.8695543125901145361 C2(67,727) = 2.240004969013253659 C3(67,727) = 3.486348593304904087 C4(67,727) = 5816 Sum = 4499.649205904009167 Averaged sum = 0.4495603163057257635 logp*logq = 27.70441052979490482 -------------- ************************************* p = 67; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1113990624989.749712 -------------- Searches starting with [67,733]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(67,733) = 0.8238602286156603111 D2(67,733) = 0.02181635422169298757 C1(67,733) = 1.086167010859874303 C2(67,733) = 2.263226371761000000 C3(67,733) = 4.758604036635520383 C4(67,733) = 5864 Sum = 4154.426140478177426 Averaged sum = 0.4150690519011067465 logp*logq = 27.73896984176963796 -------------- ************************************* p = 67; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1152837507485.764071 -------------- Searches starting with [67,739]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(67,739) = 1.101792545585532519 D2(67,739) = 0.02688665379462631383 C1(67,739) = 1.761789337172007130 C2(67,739) = 1.173737116359512546 C3(67,739) = 12.55707116002808755 C4(67,739) = 5912 Sum = 4057.166140617336077 Averaged sum = 0.4053517974440339771 logp*logq = 27.77324741708939678 -------------- ************************************* p = 67; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1179303196166.161792 -------------- Searches starting with [67,743]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(67,743) = 0.9779749641293228989 D2(67,743) = 0.03256177692161861473 C1(67,743) = 1.563725653527689086 C2(67,743) = 1.254632982813982305 C3(67,743) = 9.448203781681657819 C4(67,743) = 5944 Sum = 4491.042719241195639 Averaged sum = 0.4487004415267454929 logp*logq = 27.79594486826181368 -------------- ************************************* p = 67; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1233621753754.260246 -------------- Searches starting with [67,751]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(67,751) = 0.6187076287042847214 D2(67,751) = 0.03152455135132374922 C1(67,751) = 0.7993157747903731604 C2(67,751) = 2.089771916392325778 C3(67,751) = 3.151814341559478517 C4(67,751) = 6008 Sum = 4391.868305207433099 Averaged sum = 0.4387919177947280546 logp*logq = 27.84097547396628656 -------------- ************************************* p = 67; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1275596136095.853945 -------------- Searches starting with [67,757]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(67,757) = 0.6882987668825743300 D2(67,757) = 0.02352765658692840736 C1(67,757) = 0.8722028243874004016 C2(67,757) = 2.083431178765206829 C3(67,757) = 3.499635205200770613 C4(67,757) = 6056 Sum = 4031.632484432937805 Averaged sum = 0.4028007277882843246 logp*logq = 27.87443474299012328 -------------- ************************************* p = 67; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1304177790003.015664 -------------- Searches starting with [67,761]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(67,761) = 0.6428049440336266355 D2(67,761) = 0.01830961430408315253 C1(67,761) = 0.8593816641769881922 C2(67,761) = 2.079309822171052743 C3(67,761) = 3.435783422963644338 C4(67,761) = 6088 Sum = 4179.154259083617732 Averaged sum = 0.4175396402321528356 logp*logq = 27.89659391216613252 -------------- ************************************* p = 67; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1362803314236.486436 -------------- Searches starting with [67,769]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(67,769) = 0.6423261384628752733 D2(67,769) = 0.008130581384489385496 C1(67,769) = 0.8793737027259171138 C2(67,769) = 2.071306636842330614 C3(67,769) = 3.535863566847655734 C4(67,769) = 6152 Sum = 4273.420672752242153 Averaged sum = 0.4269578052504987664 logp*logq = 27.94056495466194033 -------------- ************************************* p = 67; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1392858508697.591425 -------------- Searches starting with [67,773]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(67,773) = 1.788919177258177969 D2(67,773) = 0.003163550029624108616 C1(67,773) = 2.298344379830626637 C2(67,773) = 2.067418890009686526 C3(67,773) = 27.13664253753631347 C4(67,773) = 6184 Sum = 5203.485820780469563 Averaged sum = 0.5198806894575351746 logp*logq = 27.96237923248590889 -------------- ************************************* p = 67; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1502047210501.238254 -------------- Searches starting with [67,787]-exponents: u = 19, v = 5 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(67,787) = 0.6214389935220269763 D2(67,787) = 0.1367247779202349248 C1(67,787) = 0.8545651138335857852 C2(67,787) = 2.026694682245342273 C3(67,787) = 3.412098285537135082 C4(67,787) = 6296 Sum = 4327.851523304551677 Averaged sum = 0.4323959959341144647 logp*logq = 28.03785010053500470 -------------- ************************************* p = 67; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1583946065420.514897 -------------- Searches starting with [67,797]-exponents: u = 27, v = 5 n_start has 64 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(67,797) = 0.8022838526357070160 D2(67,797) = 0.08568714514552953828 C1(67,797) = 1.034457356191504120 C2(67,797) = 1.978183338744544937 C3(67,797) = 4.418007877083593958 C4(67,797) = 6376 Sum = 4628.140655449430761 Averaged sum = 0.4623979074282576442 logp*logq = 28.09094035913282045 -------------- ************************************* p = 67; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1686668314409.330245 -------------- Searches starting with [67,809]-exponents: u = 35, v = 5 n_start has 79 digits starting right neighbors generation We generated 516 left neighbors We generated 9494 right neighbors We generated 10009 non-negative rho_i D1(67,809) = 0.8038884887421310452 D2(67,809) = 0.03332784282704140874 C1(67,809) = 1.110857381195289291 C2(67,809) = 1.928813504416298023 C3(67,809) = 4.930373248982767274 C4(67,809) = 6472 Sum = 4446.848801528976363 Averaged sum = 0.4442850236316291701 logp*logq = 28.15377628748186332 -------------- ************************************* p = 67; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1704270455642.532196 -------------- Searches starting with [67,811]-exponents: u = 43, v = 5 n_start has 94 digits starting right neighbors generation We generated 758 left neighbors We generated 9252 right neighbors We generated 10009 non-negative rho_i D1(67,811) = 0.7557935078744189229 D2(67,811) = 0.02531769905519041588 C1(67,811) = 0.9764186593162520636 C2(67,811) = 1.921297231426660167 C3(67,811) = 4.064674403773928178 C4(67,811) = 6488 Sum = 4576.400464048240974 Averaged sum = 0.4572285407181777374 logp*logq = 28.16415824984136475 -------------- ************************************* p = 67; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1794391333813.120608 -------------- Searches starting with [67,821]-exponents: u = 75, v = 5 n_start has 152 digits starting right neighbors generation We generated 2017 left neighbors We generated 7993 right neighbors We generated 10009 non-negative rho_i D1(67,821) = 1.222705779281481841 D2(67,821) = 0.02348171999820115936 C1(67,821) = 1.569573637783077889 C2(67,821) = 1.812291994586075558 C3(67,821) = 9.527892308781143501 C4(67,821) = 6568 Sum = 4703.655477019787614 Averaged sum = 0.4699425993625524641 logp*logq = 28.21568699056714085 -------------- ************************************* p = 67; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1812842898718.342560 -------------- Searches starting with [67,823]-exponents: u = 91, v = 5 n_start has 181 digits starting right neighbors generation We generated 2941 left neighbors We generated 7069 right neighbors We generated 10009 non-negative rho_i D1(67,823) = 0.7502588716742779752 D2(67,823) = 0.01107157420084631222 C1(67,823) = 0.9891319033409915636 C2(67,823) = 1.800350972087596206 C3(67,823) = 4.139572073229871073 C4(67,823) = 6584 Sum = 4257.001613101125853 Averaged sum = 0.4253173756720077783 logp*logq = 28.22591739128169628 -------------- ************************************* p = 67; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1850179578331.242413 -------------- Searches starting with [67,827]-exponents: u = 131, v = 5 n_start has 254 digits --- performed 5000 steps in the continued fraction search [67,827]-exponents: u = 25, v = 11 --- starting right neighbors generation We generated 5802 left neighbors We generated 4208 right neighbors We generated 10009 non-negative rho_i D1(67,827) = 0.8982838950936454284 D2(67,827) = 0.006745357231499829324 C1(67,827) = 1.159733824539355117 C2(67,827) = 1.720004301227962724 C3(67,827) = 5.288904317699266021 C4(67,827) = 6616 Sum = 4938.135763334389936 Averaged sum = 0.4933695437440693312 logp*logq = 28.24630381967609453 -------------- ************************************* p = 67; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1869066243351.844501 -------------- Searches starting with [67,829]-exponents: u = 179, v = 5 n_start has 342 digits --- performed 5000 steps in the continued fraction search [67,829]-exponents: u = 31, v = 65 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,829) = 0.5996755377249541066 D2(67,829) = 0.03192822658636725975 C1(67,829) = 0.8119929500707756826 C2(67,829) = 1.602957728816943375 C3(67,829) = 3.209724932689068118 C4(67,829) = 6632 Sum = 5027.970941585653981 Averaged sum = 0.5028473788964550436 logp*logq = 28.25646008697978772 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,829) = 0.5996755377249541066 D2(67,829) = 0.03192822658636725975 C1(67,829) = 0.8119929500707756826 C2(67,829) = 1.602957728816943375 C3(67,829) = 3.209724932689068118 C4(67,829) = 6632 Sum = 5027.970941585653981 Averaged sum = 0.5028473788964550436 logp*logq = 28.25646008697978772 -------------- ************************************* p = 67; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1965714030739.675641 -------------- Searches starting with [67,839]-exponents: u = 8, v = 178 n_start has 536 digits --- performed 5000 steps in the continued fraction search [67,839]-exponents: u = 89, v = 109 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,839) = 0.7825427654529705447 D2(67,839) = 0.2252664105458462018 C1(67,839) = 0.9813736631678360881 C2(67,839) = 1.503604224910182939 C3(67,839) = 4.093703349345648462 C4(67,839) = 6712 Sum = 5288.100999510460122 Averaged sum = 0.5288629862496709793 logp*logq = 28.30687666966750327 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(67,839) = 0.7825427654529705447 D2(67,839) = 0.2252664105458462018 C1(67,839) = 0.9813736631678360881 C2(67,839) = 1.503604224910182939 C3(67,839) = 4.093703349345648462 C4(67,839) = 6712 Sum = 5288.100999510460122 Averaged sum = 0.5288629862496709793 logp*logq = 28.30687666966750327 -------------- ************************************* p = 67; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2107364982195.700434 -------------- Searches starting with [67,853]-exponents: u = 8, v = 38 n_start has 126 digits starting right neighbors generation We generated 1419 left neighbors We generated 8591 right neighbors We generated 10009 non-negative rho_i D1(67,853) = 0.7620718085516319249 D2(67,853) = 0.009553860064929147365 C1(67,853) = 0.9704555598474270164 C2(67,853) = 1.886188445640843941 C3(67,853) = 4.030012314876610032 C4(67,853) = 6824 Sum = 4113.558463659468934 Averaged sum = 0.4109859590028443334 logp*logq = 28.37645945938257908 -------------- ************************************* p = 67; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2149229607673.608302 -------------- Searches starting with [67,857]-exponents: u = 8, v = 28 n_start has 97 digits starting right neighbors generation We generated 797 left neighbors We generated 9213 right neighbors We generated 10009 non-negative rho_i D1(67,857) = 0.7786269895055501145 D2(67,857) = 0.02616010956415327235 C1(67,857) = 1.060285123147794968 C2(67,857) = 1.903586329253664900 C3(67,857) = 4.584966309211101232 C4(67,857) = 6856 Sum = 4648.047248876932975 Averaged sum = 0.4643867767885835722 logp*logq = 28.39613057184317252 -------------- ************************************* p = 67; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2170398103693.978256 -------------- Searches starting with [67,859]-exponents: u = 8, v = 28 n_start has 97 digits starting right neighbors generation We generated 797 left neighbors We generated 9213 right neighbors We generated 10009 non-negative rho_i D1(67,859) = 0.7617426674116852547 D2(67,859) = 0.03469555053269419421 C1(67,859) = 0.9821844903196986897 C2(67,859) = 1.912516177395219170 C3(67,859) = 4.098473288391177037 C4(67,859) = 6872 Sum = 4551.664160992302464 Averaged sum = 0.4547571346780200283 logp*logq = 28.40593172457806175 -------------- ************************************* p = 67; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2213211525601.834844 -------------- Searches starting with [67,863]-exponents: u = 8, v = 23 n_start has 83 digits starting right neighbors generation We generated 546 left neighbors We generated 9464 right neighbors We generated 10009 non-negative rho_i D1(67,863) = 0.9605532622073809131 D2(67,863) = 0.05228180114539363352 C1(67,863) = 1.273609523057614465 C2(67,863) = 1.930888444636445084 C3(67,863) = 6.228649371854064550 C4(67,863) = 6904 Sum = 5085.351063571091158 Averaged sum = 0.5080778363044351242 logp*logq = 28.42546575562074729 -------------- ************************************* p = 67; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2368147064774.320776 -------------- Searches starting with [67,877]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(67,877) = 1.021302140063182933 D2(67,877) = 0.1206619111223075085 C1(67,877) = 1.308234623393089786 C2(67,877) = 2.001990690215857877 C3(67,877) = 6.546222236179482802 C4(67,877) = 7016 Sum = 4636.397793002145140 Averaged sum = 0.4632228787093760755 logp*logq = 28.49312893607859157 -------------- ************************************* p = 67; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2413895507044.806969 -------------- Searches starting with [67,881]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(67,881) = 0.7129347763665317473 D2(67,881) = 0.005500406659708858910 C1(67,881) = 0.9746778622720286980 C2(67,881) = 1.888566509450194483 C3(67,881) = 4.054524862784904744 C4(67,881) = 7048 Sum = 4100.381999771249450 Averaged sum = 0.4096694974294384504 logp*logq = 28.51226295143868032 -------------- ************************************* p = 67; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2437020751963.643094 -------------- Searches starting with [67,883]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(67,883) = 0.6394885033382115057 D2(67,883) = 0.008439831940873280913 C1(67,883) = 0.8309983440150979396 C2(67,883) = 1.891930371840574795 C3(67,883) = 3.298542855954145168 C4(67,883) = 7064 Sum = 4426.556856965144999 Averaged sum = 0.4422576538080872214 logp*logq = 28.52179740590821494 -------------- ************************************* p = 67; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2483777489985.798711 -------------- Searches starting with [67,887]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(67,887) = 0.6424907855220319541 D2(67,887) = 0.01436095413839028916 C1(67,887) = 0.8376823093292014554 C2(67,887) = 1.898697439149537146 C3(67,887) = 3.330359749718484493 C4(67,887) = 7096 Sum = 4241.645888969775914 Averaged sum = 0.4237831840313493770 logp*logq = 28.54080169868709146 -------------- ************************************* p = 67; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2727906816086.317817 -------------- Searches starting with [67,907]-exponents: u = 8, v = 8 n_start has 39 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(67,907) = 0.6351055999343415832 D2(67,907) = 0.04864538035712140162 C1(67,907) = 0.8273416872670077230 C2(67,907) = 2.094507441549171032 C3(67,907) = 3.281265323529170858 C4(67,907) = 7256 Sum = 4331.334959506470377 Averaged sum = 0.4327440263269527802 logp*logq = 28.63455569700022513 -------------- ************************************* p = 67; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2778849821182.070373 -------------- Searches starting with [67,911]-exponents: u = 8, v = 8 n_start has 39 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(67,911) = 1.273552504737437762 D2(67,911) = 0.05548797165382088055 C1(67,911) = 1.748619389045812842 C2(67,911) = 2.102174619498803374 C3(67,911) = 12.32179013549144995 C4(67,911) = 7288 Sum = 4372.931540882341661 Averaged sum = 0.4368999441385095076 logp*logq = 28.65305822463207706 -------------- ************************************* p = 67; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2882908506785.660087 -------------- Searches starting with [67,919]-exponents: u = 8, v = 8 n_start has 39 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(67,919) = 0.6455407990515406134 D2(67,919) = 0.06942947415765138007 C1(67,919) = 0.8231397180087309200 C2(67,919) = 2.117754262088268216 C3(67,919) = 3.261522934504041702 C4(67,919) = 7352 Sum = 4184.937481759818542 Averaged sum = 0.4181174424777518775 logp*logq = 28.68982079866176152 -------------- ************************************* p = 67; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3017128219493.363409 -------------- Searches starting with [67,929]-exponents: u = 13, v = 3 n_start has 33 digits **************************************************** Computing .... elapsed time = 11 minutes **************************************************** starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(67,929) = 1.106719477719371832 D2(67,929) = 0.04876881262064605080 C1(67,929) = 1.726408840549711013 C2(67,929) = 1.193075227615674779 C3(67,929) = 11.93494241067699012 C4(67,929) = 7432 Sum = 3551.997859976938029 Averaged sum = 0.3548803936434147297 logp*logq = 28.73532657420585019 -------------- ************************************* p = 67; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3127890381305.414818 -------------- Searches starting with [67,937]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(67,937) = 0.7454409660399399334 D2(67,937) = 0.06011545992781104906 C1(67,937) = 0.9877244232526580767 C2(67,937) = 2.204292943511906219 C3(67,937) = 4.131212692264006157 C4(67,937) = 7496 Sum = 4018.932437931427325 Averaged sum = 0.4015318651145396468 logp*logq = 28.77137989365784449 -------------- ************************************* p = 67; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3184419998869.947275 -------------- Searches starting with [67,941]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(67,941) = 0.6749352023119087142 D2(67,941) = 0.04857773139154901111 C1(67,941) = 0.9146965009100233269 C2(67,941) = 2.193710479492759701 C3(67,941) = 3.719868078355396800 C4(67,941) = 7528 Sum = 3804.531060238303836 Averaged sum = 0.3801110061183238921 logp*logq = 28.78929128440425485 -------------- ************************************* p = 67; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3270670466992.607345 -------------- Searches starting with [67,947]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(67,947) = 0.8917770596880645414 D2(67,947) = 0.03190984313766302432 C1(67,947) = 1.131949471637705073 C2(67,947) = 2.178467804710416350 C3(67,947) = 5.082011665525881807 C4(67,947) = 7576 Sum = 4187.619820703591198 Averaged sum = 0.4183854351786982913 logp*logq = 28.81601611559830373 -------------- ************************************* p = 67; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3358690081720.809422 -------------- Searches starting with [67,953]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(67,953) = 0.8937913851976154368 D2(67,953) = 0.01593773854478136413 C1(67,953) = 1.267613666220029515 C2(67,953) = 2.163911797819770457 C3(67,953) = 6.175243150354680599 C4(67,953) = 7624 Sum = 3426.108279243455169 Averaged sum = 0.3423027554444455159 logp*logq = 28.84257215725909636 -------------- ************************************* p = 67; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3571088895866.703776 -------------- Searches starting with [67,967]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(67,967) = 0.7782459168625936784 D2(67,967) = 0.1478843039502044167 C1(67,967) = 1.019408374436413230 C2(67,967) = 2.020721830105183993 C3(67,967) = 4.323544372293395817 C4(67,967) = 7736 Sum = 4831.460553132782327 Averaged sum = 0.4827116148599043188 logp*logq = 28.90389167806095001 -------------- ************************************* p = 67; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3633612814597.415664 -------------- Searches starting with [67,971]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(67,971) = 1.092403076222843668 D2(67,971) = 0.1146299628927819563 C1(67,971) = 1.367307645439898738 C2(67,971) = 1.370186905391254278 C3(67,971) = 7.125848951160798647 C4(67,971) = 7768 Sum = 4287.419566882006777 Averaged sum = 0.4283564358958943727 logp*logq = 28.92124853498606359 -------------- ************************************* p = 67; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3728958970093.462343 -------------- Searches starting with [67,977]-exponents: u = 18, v = 3 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(67,977) = 0.7121344981598952770 D2(67,977) = 0.1228988065227627490 C1(67,977) = 1.065988085425199405 C2(67,977) = 1.493894629469286330 C3(67,977) = 4.622674154012697112 C4(67,977) = 7816 Sum = 4323.267969643019623 Averaged sum = 0.4319380527168567912 logp*logq = 28.94715021413991048 -------------- ************************************* p = 67; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3826200195500.373496 -------------- Searches starting with [67,983]-exponents: u = 18, v = 3 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(67,983) = 0.7611051092807262180 D2(67,983) = 0.1186016231440659774 C1(67,983) = 1.029187553982115394 C2(67,983) = 2.136285283676644340 C3(67,983) = 4.384696419025767428 C4(67,983) = 7864 Sum = 3922.824405558500126 Averaged sum = 0.3919297038224098438 logp*logq = 28.97289331059086969 -------------- ************************************* p = 67; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3958847588282.661142 -------------- Searches starting with [67,991]-exponents: u = 18, v = 3 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(67,991) = 0.6036201789548271518 D2(67,991) = 0.08127352334653059926 C1(67,991) = 0.7898959430898278356 C2(67,991) = 2.100694022835193908 C3(67,991) = 3.109461297518159264 C4(67,991) = 7928 Sum = 4531.766191283406264 Averaged sum = 0.4527691269141179202 logp*logq = 29.00697408578248585 -------------- ************************************* p = 67; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4060611123290.229395 -------------- Searches starting with [67,997]-exponents: u = 18, v = 3 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(67,997) = 0.6919795044321893474 D2(67,997) = 0.05568415087955034080 C1(67,997) = 1.008981393072087094 C2(67,997) = 2.076398017159121616 C3(67,997) = 4.259280627984496481 C4(67,997) = 7976 Sum = 4348.389333360806008 Averaged sum = 0.4344479301989015893 logp*logq = 29.03235460119263174 -------------- ************************************* p = 71; q = 73; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87649382.39517796339 -------------- Searches starting with [71,73]-exponents: u = 1, v = 153 n_start has 287 digits starting right neighbors generation We generated 3704 left neighbors We generated 6306 right neighbors We generated 10009 non-negative rho_i D1(71,73) = 0.6757257920352115618 D2(71,73) = 0.004474493335918696111 C1(71,73) = 0.8702356983277646335 C2(71,73) = 1.012975601990226370 C3(71,73) = 3.531607093934409556 C4(71,73) = 584 Sum = 5462.074712842496161 Averaged sum = 0.5457163265903183296 logp*logq = 18.28885512304517478 -------------- ************************************* p = 71; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122737370.8842535481 -------------- Searches starting with [71,79]-exponents: u = 1, v = 39 n_start has 76 digits starting right neighbors generation We generated 265 left neighbors We generated 9745 right neighbors We generated 10009 non-negative rho_i D1(71,79) = 0.9333666709399596795 D2(71,79) = 0.02500794934131659937 C1(71,79) = 1.297783056025068201 C2(71,79) = 1.314528652302128564 C3(71,79) = 6.564347495146555401 C4(71,79) = 632 Sum = 5578.647460131554452 Averaged sum = 0.5573631192058701620 logp*logq = 18.62555743449256291 -------------- ************************************* p = 71; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 151501023.5062294483 -------------- Searches starting with [71,83]-exponents: u = 1, v = 27 n_start has 54 digits starting right neighbors generation We generated 158 left neighbors We generated 9852 right neighbors We generated 10009 non-negative rho_i D1(71,83) = 0.6886223275141547680 D2(71,83) = 0.009700718773915967624 C1(71,83) = 0.9133602388265043665 C2(71,83) = 1.415837846828104276 C3(71,83) = 3.759474629944009584 C4(71,83) = 664 Sum = 4823.931510434514058 Averaged sum = 0.4819593875946162512 logp*logq = 18.83610293870757354 -------------- ************************************* p = 71; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 203997832.8796255825 -------------- Searches starting with [71,89]-exponents: u = 1, v = 18 n_start has 37 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(71,89) = 0.7816567107070571996 D2(71,89) = 0.02193150830989900321 C1(71,89) = 1.159969066611357096 C2(71,89) = 1.558633976116297507 C3(71,89) = 5.375420900458222246 C4(71,89) = 712 Sum = 4890.903987602083880 Averaged sum = 0.4886506132083208992 logp*logq = 19.13361992861297427 -------------- ************************************* p = 71; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294423107.3404504836 -------------- Searches starting with [71,97]-exponents: u = 1, v = 13 n_start has 28 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(71,97) = 1.002976801742584200 D2(71,97) = 0.09658500364339239695 C1(71,97) = 1.387263595299158266 C2(71,97) = 1.757859575474882541 C3(71,97) = 7.473704326636203502 C4(71,97) = 776 Sum = 5347.269114253028800 Averaged sum = 0.5342460899443529623 logp*logq = 19.50052843134635564 -------------- ************************************* p = 71; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 349768252.4422776179 -------------- Searches starting with [71,101]-exponents: u = 1, v = 12 n_start has 26 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(71,101) = 0.8426717121511819007 D2(71,101) = 0.1344997237106457800 C1(71,101) = 1.319123713592212312 C2(71,101) = 1.179694201909025665 C3(71,101) = 6.770635069708361784 C4(71,101) = 808 Sum = 4929.468664231812529 Averaged sum = 0.4925036131713270585 logp*logq = 19.67278135725975191 -------------- ************************************* p = 71; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 380260078.4935852797 -------------- Searches starting with [71,103]-exponents: u = 1, v = 11 n_start has 24 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(71,103) = 0.7353776742265647696 D2(71,103) = 0.08571790840818992755 C1(71,103) = 1.066618364367096302 C2(71,103) = 1.835948762956234539 C3(71,103) = 4.694951946839372669 C4(71,103) = 824 Sum = 4749.280719914336850 Averaged sum = 0.4745010210724684633 logp*logq = 19.75636599366652404 -------------- ************************************* p = 71; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 447314928.0439344942 -------------- Searches starting with [71,107]-exponents: u = 1, v = 10 n_start has 23 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(71,107) = 0.7713660145438526421 D2(71,107) = 0.06968142140981256554 C1(71,107) = 1.047989287355309743 C2(71,107) = 1.875589380410181872 C3(71,107) = 4.569837358697861336 C4(71,107) = 856 Sum = 4927.352436750372435 Averaged sum = 0.4922921807123960870 logp*logq = 19.91877344151919146 -------------- ************************************* p = 71; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 484057477.9759268283 -------------- Searches starting with [71,109]-exponents: u = 1, v = 9 n_start has 21 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(71,109) = 0.9661823732089338171 D2(71,109) = 0.1034668249852484782 C1(71,109) = 1.550388842376575685 C2(71,109) = 1.110671521132507084 C3(71,109) = 9.467886902069414715 C4(71,109) = 872 Sum = 4978.751206070166680 Averaged sum = 0.4974274359146934439 logp*logq = 19.99771421377856177 -------------- ************************************* p = 71; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 564437899.5203155495 -------------- Searches starting with [71,113]-exponents: u = 1, v = 9 n_start has 21 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(71,113) = 0.7296938169774633547 D2(71,113) = 0.08865992157309424487 C1(71,113) = 0.9870596810227733968 C2(71,113) = 1.962366842884564493 C3(71,113) = 4.183448466772975753 C4(71,113) = 904 Sum = 5016.779632871752459 Averaged sum = 0.5012268591139726705 logp*logq = 20.15134092579533221 -------------- ************************************* p = 71; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 928628026.0541064212 -------------- Searches starting with [71,127]-exponents: u = 1, v = 7 n_start has 17 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(71,127) = 1.129255864578270340 D2(71,127) = 0.04865263003887365343 C1(71,127) = 1.637913531295665104 C2(71,127) = 1.468006763293045933 C3(71,127) = 10.74894511965719434 C4(71,127) = 1016 Sum = 3732.447249581383898 Averaged sum = 0.3729091067620525426 logp*logq = 20.64921881407043584 -------------- ************************************* p = 71; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1059863036.862839148 -------------- Searches starting with [71,131]-exponents: u = 8, v = 6 n_start has 28 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(71,131) = 1.042318301295771992 D2(71,131) = 0.03321562699702232893 C1(71,131) = 1.769078459488951400 C2(71,131) = 1.066232798336653587 C3(71,131) = 13.00044248084488468 C4(71,131) = 1048 Sum = 4993.970185680762530 Averaged sum = 0.4989479653992169577 logp*logq = 20.78140552621523474 -------------- ************************************* p = 71; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1282790587.067974832 -------------- Searches starting with [71,137]-exponents: u = 15, v = 6 n_start has 41 digits starting right neighbors generation We generated 172 left neighbors We generated 9838 right neighbors We generated 10009 non-negative rho_i D1(71,137) = 0.9439243681634141665 D2(71,137) = 0.01648302650718785499 C1(71,137) = 1.449304250808351772 C2(71,137) = 1.596372828058606990 C3(71,137) = 8.177147676045043762 C4(71,137) = 1096 Sum = 4500.837729362397344 Averaged sum = 0.4496790617806371609 logp*logq = 20.97230368795464872 -------------- ************************************* p = 71; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1364539353.332095272 -------------- Searches starting with [71,139]-exponents: u = 15, v = 6 n_start has 41 digits starting right neighbors generation We generated 172 left neighbors We generated 9838 right neighbors We generated 10009 non-negative rho_i D1(71,139) = 0.8191890911762383004 D2(71,139) = 0.009740529454767648195 C1(71,139) = 1.203473306444358043 C2(71,139) = 1.592224044274164470 C3(71,139) = 5.725406722484317176 C4(71,139) = 1112 Sum = 4582.122792886877543 Averaged sum = 0.4578002590555377703 logp*logq = 21.03408273854111323 -------------- ************************************* p = 71; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1834836519.234851435 -------------- Searches starting with [71,149]-exponents: u = 7, v = 23 n_start has 63 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(71,149) = 1.357473858458901333 D2(71,149) = 0.06017883460384134912 C1(71,149) = 1.954653581714413165 C2(71,149) = 1.503575628855344162 C3(71,149) = 17.01420188257063916 C4(71,149) = 1192 Sum = 3955.772666413491055 Averaged sum = 0.3952215672308413483 logp*logq = 21.33022122414893429 -------------- ************************************* p = 71; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1942142919.098343370 -------------- Searches starting with [71,151]-exponents: u = 7, v = 11 n_start has 37 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(71,151) = 0.7186257917242887924 D2(71,151) = 0.1061120390739211931 C1(71,151) = 1.066431948259284297 C2(71,151) = 1.746053489077743298 C3(71,151) = 4.693683146282014084 C4(71,151) = 1208 Sum = 4835.340924095695621 Averaged sum = 0.4830993030368364093 logp*logq = 21.38705779787611274 -------------- ************************************* p = 71; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2293069724.335387091 -------------- Searches starting with [71,157]-exponents: u = 13, v = 5 n_start has 36 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(71,157) = 0.7080422813426469142 D2(71,157) = 0.1021606621783785847 C1(71,157) = 0.9691395966845849665 C2(71,157) = 1.774073659686779511 C3(71,157) = 4.076152803629273935 C4(71,157) = 1256 Sum = 4272.491730330208209 Averaged sum = 0.4268649945379366779 logp*logq = 21.55315724783279266 -------------- ************************************* p = 71; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2690590382.839944072 -------------- Searches starting with [71,163]-exponents: u = 43, v = 5 n_start has 91 digits starting right neighbors generation We generated 914 left neighbors We generated 9096 right neighbors We generated 10009 non-negative rho_i D1(71,163) = 0.6697888166955903686 D2(71,163) = 0.03493349114758775577 C1(71,163) = 0.9193271669326072803 C2(71,163) = 1.602578790374781446 C3(71,163) = 3.792140589273883042 C4(71,163) = 1304 Sum = 4808.254181449225775 Averaged sum = 0.4803930643869743006 logp*logq = 21.71302647965414540 -------------- ************************************* p = 71; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2983518766.525996287 -------------- Searches starting with [71,167]-exponents: u = 6, v = 304 n_start has 687 digits --- performed 5000 steps in the continued fraction search [71,167]-exponents: u = 311, v = 36 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,167) = 0.6557717738661088478 D2(71,167) = 0.3225659390137481045 C1(71,167) = 0.8169276357509079156 C2(71,167) = 1.311869805345746776 C3(71,167) = 3.268926943476987941 C4(71,167) = 1336 Sum = 5809.702956262604603 Averaged sum = 0.5810283984661070709 logp*logq = 21.81636923501086680 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,167) = 0.6557717738661088478 D2(71,167) = 0.3225659390137481045 C1(71,167) = 0.8169276357509079156 C2(71,167) = 1.311869805345746776 C3(71,167) = 3.268926943476987941 C4(71,167) = 1336 Sum = 5809.702956262604603 Averaged sum = 0.5810283984661070709 logp*logq = 21.81636923501086680 -------------- ************************************* p = 71; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3467960064.570025222 -------------- Searches starting with [71,173]-exponents: u = 6, v = 19 n_start has 54 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(71,173) = 0.8602508986254918612 D2(71,173) = 0.09103157184314773143 C1(71,173) = 1.144082027377383205 C2(71,173) = 1.705189012092335314 C3(71,173) = 5.253015490939731238 C4(71,173) = 1384 Sum = 4935.806430583536262 Averaged sum = 0.4931368199204252435 logp*logq = 21.96683238039183665 -------------- ************************************* p = 71; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4010433146.468218899 -------------- Searches starting with [71,179]-exponents: u = 6, v = 9 n_start has 32 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(71,179) = 0.6430337786602348553 D2(71,179) = 0.06710274573268485213 C1(71,179) = 0.9228603372541104041 C2(71,179) = 1.822309815559633589 C3(71,179) = 3.811616569724022500 C4(71,179) = 1432 Sum = 4634.605785729951976 Averaged sum = 0.4630438391177891873 logp*logq = 22.11216508900713442 -------------- ************************************* p = 71; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4204951876.844721344 -------------- Searches starting with [71,181]-exponents: u = 6, v = 9 n_start has 32 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(71,181) = 1.012230994223064568 D2(71,181) = 0.09275174612704568376 C1(71,181) = 1.387390274765689357 C2(71,181) = 1.850042345675193395 C3(71,181) = 7.475077165249751630 C4(71,181) = 1448 Sum = 4294.396101927956080 Averaged sum = 0.4290534620769263743 logp*logq = 22.15952868603585334 -------------- ************************************* p = 71; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5288287204.141721570 -------------- Searches starting with [71,191]-exponents: u = 16, v = 4 n_start has 39 digits starting right neighbors generation We generated 157 left neighbors We generated 9853 right neighbors We generated 10009 non-negative rho_i D1(71,191) = 1.061029518807106924 D2(71,191) = 0.003880188402367988724 C1(71,191) = 1.424361102398646427 C2(71,191) = 1.806597482460120580 C3(71,191) = 7.886704546681497288 C4(71,191) = 1528 Sum = 5759.159135986115325 Averaged sum = 0.5753980553487976147 logp*logq = 22.38876025045317647 -------------- ************************************* p = 71; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5528396061.864839902 -------------- Searches starting with [71,193]-exponents: u = 16, v = 4 n_start has 39 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(71,193) = 0.7610949271409418764 D2(71,193) = 0.1137944642450293856 C1(71,193) = 1.000719088632257415 C2(71,193) = 1.790606945760508318 C3(71,193) = 4.267126486872051313 C4(71,193) = 1544 Sum = 4689.152315777838788 Averaged sum = 0.4684935873491696261 logp*logq = 22.43316356734761457 -------------- ************************************* p = 71; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6033579101.653178612 -------------- Searches starting with [71,197]-exponents: u = 26, v = 4 n_start has 58 digits starting right neighbors generation We generated 325 left neighbors We generated 9685 right neighbors We generated 10009 non-negative rho_i D1(71,197) = 0.8063791878950892008 D2(71,197) = 0.01570228348623792471 C1(71,197) = 1.067510632014446283 C2(71,197) = 1.696903439319495357 C3(71,197) = 4.701029723178832728 C4(71,197) = 1576 Sum = 5062.309354456952568 Averaged sum = 0.5057757372821413296 logp*logq = 22.52060622080106800 -------------- ************************************* p = 71; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6299045553.352270033 -------------- Searches starting with [71,199]-exponents: u = 36, v = 4 n_start has 76 digits starting right neighbors generation We generated 553 left neighbors We generated 9457 right neighbors We generated 10009 non-negative rho_i D1(71,199) = 0.7827541698282400292 D2(71,199) = 0.03761652772866834430 C1(71,199) = 1.022826231063621772 C2(71,199) = 1.634679177493900967 C3(71,199) = 4.406116764724086680 C4(71,199) = 1592 Sum = 4902.307606413794552 Averaged sum = 0.4897899496866614598 logp*logq = 22.56366395939880092 -------------- ************************************* p = 71; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8084851563.777045853 -------------- Searches starting with [71,211]-exponents: u = 5, v = 43 n_start has 110 digits starting right neighbors generation We generated 1131 left neighbors We generated 8879 right neighbors We generated 10009 non-negative rho_i D1(71,211) = 0.6723143113062255429 D2(71,211) = 0.03144718917332164938 C1(71,211) = 0.8785156885579766953 C2(71,211) = 1.546885410990090897 C3(71,211) = 3.574260052371270061 C4(71,211) = 1688 Sum = 4911.941946853080421 Averaged sum = 0.4907525174196303747 logp*logq = 22.81325797034832299 -------------- ************************************* p = 71; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10234623828.17981564 -------------- Searches starting with [71,223]-exponents: u = 5, v = 11 n_start has 36 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(71,223) = 0.6857930612575189329 D2(71,223) = 0.09327349854118304144 C1(71,223) = 0.8878943273356538725 C2(71,223) = 1.848879983038808164 C3(71,223) = 3.623195047459195824 C4(71,223) = 1784 Sum = 4645.052308047675349 Averaged sum = 0.4640875520079603706 logp*logq = 23.04904230190889072 -------------- ************************************* p = 71; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11040379734.81070049 -------------- Searches starting with [71,227]-exponents: u = 5, v = 11 n_start has 36 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(71,227) = 1.414845370607383608 D2(71,227) = 0.09426495889614936260 C1(71,227) = 2.192176531047096301 C2(71,227) = 1.035625555376981143 C3(71,227) = 24.00908881375659539 C4(71,227) = 1816 Sum = 3011.988016446569305 Averaged sum = 0.3009279664748295838 logp*logq = 23.12482527347290750 -------------- ************************************* p = 71; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11461018767.70432556 -------------- Searches starting with [71,229]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(71,229) = 0.9889581864069279362 D2(71,229) = 0.1442372518173490982 C1(71,229) = 1.290601744184876038 C2(71,229) = 1.822207099878646795 C3(71,229) = 6.496352992712760575 C4(71,229) = 1832 Sum = 5045.324427797511601 Averaged sum = 0.5040787718850546109 logp*logq = 23.16221744198727634 -------------- ************************************* p = 71; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12339013697.90308935 -------------- Searches starting with [71,233]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(71,233) = 0.6379748161126966081 D2(71,233) = 0.09429906330035654912 C1(71,233) = 0.8502906887761893165 C2(71,233) = 1.650143110239442042 C3(71,233) = 3.430941812726456010 C4(71,233) = 1864 Sum = 4752.371634012684816 Averaged sum = 0.4748098345501733256 logp*logq = 23.23603192499292265 -------------- ************************************* p = 71; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13751461965.47396338 -------------- Searches starting with [71,239]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(71,239) = 0.9681796533220439517 D2(71,239) = 0.03171408793553694143 C1(71,239) = 1.607278170742273598 C2(71,239) = 1.158473281175517282 C3(71,239) = 10.28194528397919533 C4(71,239) = 1912 Sum = 4829.793213863985307 Averaged sum = 0.4825450308586257675 logp*logq = 23.34441098016865740 -------------- ************************************* p = 71; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14248728591.74321629 -------------- Searches starting with [71,241]-exponents: u = 9, v = 3 n_start has 24 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(71,241) = 0.9623937654667749316 D2(71,241) = 0.03044857329399360207 C1(71,241) = 1.597455310928454245 C2(71,241) = 1.159328101707715803 C3(71,241) = 10.13654618150413955 C4(71,241) = 1928 Sum = 4682.401391722793861 Averaged sum = 0.4678191019804969389 logp*logq = 23.37993351804852911 -------------- ************************************* p = 71; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16944973111.19412838 -------------- Searches starting with [71,251]-exponents: u = 9, v = 3 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(71,251) = 1.003458729466331962 D2(71,251) = 0.1127278369550034824 C1(71,251) = 1.412681914571553510 C2(71,251) = 1.829874576889275088 C3(71,251) = 7.754278389948484995 C4(71,251) = 2008 Sum = 4697.645852175096081 Averaged sum = 0.4693421772579774284 logp*logq = 23.55323705517584744 -------------- ************************************* p = 71; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18740165840.31455600 -------------- Searches starting with [71,257]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(71,257) = 0.7964313521494540037 D2(71,257) = 0.1176245475891082359 C1(71,257) = 1.010525530480425028 C2(71,257) = 1.964203018234417115 C3(71,257) = 4.328231320893458726 C4(71,257) = 2056 Sum = 4107.769058718042609 Averaged sum = 0.4104075390866262973 logp*logq = 23.65393496325405950 -------------- ************************************* p = 71; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20677435387.22362869 -------------- Searches starting with [71,263]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(71,263) = 0.8353884490757801982 D2(71,263) = 0.02595654212696833522 C1(71,263) = 1.262956212419494189 C2(71,263) = 1.877789078058794468 C3(71,263) = 6.241108051844961113 C4(71,263) = 2104 Sum = 4604.069447058503864 Averaged sum = 0.4599929510499054715 logp*logq = 23.75230886473878333 -------------- ************************************* p = 71; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22764396961.99127885 -------------- Searches starting with [71,269]-exponents: u = 17, v = 3 n_start has 39 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(71,269) = 1.561462759118962068 D2(71,269) = 0.08062347347024328839 C1(71,269) = 2.305083238374953882 C2(71,269) = 1.834955604023611734 C3(71,269) = 28.27945793537912048 C4(71,269) = 2152 Sum = 5788.167007910960371 Averaged sum = 0.5782962341803337367 logp*logq = 23.84846361568281569 -------------- ************************************* p = 71; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23494663954.76054393 -------------- Searches starting with [71,271]-exponents: u = 21, v = 3 n_start has 47 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(71,271) = 0.8891184256734684473 D2(71,271) = 0.04156981408321002313 C1(71,271) = 1.225829698472643344 C2(71,271) = 1.797520407289685136 C3(71,271) = 5.914033459936970055 C4(71,271) = 2168 Sum = 4449.452102844344030 Averaged sum = 0.4445451196767253502 logp*logq = 23.88003916655832236 -------------- ************************************* p = 71; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25793445642.96610033 -------------- Searches starting with [71,277]-exponents: u = 29, v = 3 n_start has 62 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(71,277) = 0.6218597502132643536 D2(71,277) = 0.02083809409207022721 C1(71,277) = 0.8001804388628546942 C2(71,277) = 1.706658867398057029 C3(71,277) = 3.190507679277698933 C4(71,277) = 2216 Sum = 4784.526074813230039 Averaged sum = 0.4780223873327235527 logp*logq = 23.97338625175284947 -------------- ************************************* p = 71; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27418971152.63551344 -------------- Searches starting with [71,281]-exponents: u = 41, v = 3 n_start has 84 digits starting right neighbors generation We generated 510 left neighbors We generated 9500 right neighbors We generated 10009 non-negative rho_i D1(71,281) = 0.8857902662811598388 D2(71,281) = 0.05802673010526072521 C1(71,281) = 1.112166561702564631 C2(71,281) = 1.642014970739685146 C3(71,281) = 5.015474934685557078 C4(71,281) = 2248 Sum = 3491.524141069084695 Averaged sum = 0.3488384594933644415 logp*logq = 24.03450098859089807 -------------- ************************************* p = 71; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28260555972.54139730 -------------- Searches starting with [71,283]-exponents: u = 49, v = 3 n_start has 99 digits starting right neighbors generation We generated 722 left neighbors We generated 9288 right neighbors We generated 10009 non-negative rho_i D1(71,283) = 0.8570599057038277708 D2(71,283) = 0.04723564398034791558 C1(71,283) = 1.176357659360928932 C2(71,283) = 1.593710162296279785 C3(71,283) = 5.504680148796068784 C4(71,283) = 2264 Sum = 3590.775094730542442 Averaged sum = 0.3587546303057790430 logp*logq = 24.06473288748915176 -------------- ************************************* p = 71; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32769284931.04907811 -------------- Searches starting with [71,293]-exponents: u = 553, v = 3 n_start has 1032 digits --- performed 5000 steps in the continued fraction search [71,293]-exponents: u = 261, v = 213 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,293) = 0.5968703321794499911 D2(71,293) = 0.3377402473272956456 C1(71,293) = 0.7339015385678231447 C2(71,293) = 1.341371554761421311 C3(71,293) = 2.898178405231618783 C4(71,293) = 2344 Sum = 5897.788034280574340 Averaged sum = 0.5898377872067781118 logp*logq = 24.21275747857832028 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,293) = 0.5968703321794499911 D2(71,293) = 0.3377402473272956456 C1(71,293) = 0.7339015385678231447 C2(71,293) = 1.341371554761421311 C3(71,293) = 2.898178405231618783 C4(71,293) = 2344 Sum = 5897.788034280574340 Averaged sum = 0.5898377872067781118 logp*logq = 24.21275747857832028 -------------- ************************************* p = 71; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39982938098.25044706 -------------- Searches starting with [71,307]-exponents: u = 4, v = 32 n_start has 87 digits starting right neighbors generation We generated 616 left neighbors We generated 9394 right neighbors We generated 10009 non-negative rho_i D1(71,307) = 0.6373047580049085627 D2(71,307) = 0.003313395591672616989 C1(71,307) = 0.8160173118279408192 C2(71,307) = 1.629379168405988249 C3(71,307) = 3.264615208509881407 C4(71,307) = 2456 Sum = 4509.046582682839131 Averaged sum = 0.4504992089802017315 logp*logq = 24.41171865251932774 -------------- ************************************* p = 71; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42251248691.05764975 -------------- Searches starting with [71,311]-exponents: u = 4, v = 23 n_start has 65 digits starting right neighbors generation We generated 309 left neighbors We generated 9701 right neighbors We generated 10009 non-negative rho_i D1(71,311) = 0.8208249531502460739 D2(71,311) = 0.02632127281420718565 C1(71,311) = 1.063079857596988540 C2(71,311) = 1.707739694894500949 C3(71,311) = 4.670926301948280085 C4(71,311) = 2488 Sum = 4716.350412618822703 Averaged sum = 0.4712109514056172148 logp*logq = 24.46689974513079152 -------------- ************************************* p = 71; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43421680747.33023125 -------------- Searches starting with [71,313]-exponents: u = 4, v = 20 n_start has 58 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(71,313) = 0.8031626629652031028 D2(71,313) = 0.06972835559789259974 C1(71,313) = 1.142273994133784657 C2(71,313) = 1.752170731560807819 C3(71,313) = 5.239262934469729570 C4(71,313) = 2504 Sum = 4257.267771347692524 Averaged sum = 0.4253439675639616869 logp*logq = 24.49422470970611468 -------------- ************************************* p = 71; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45836873635.77558265 -------------- Searches starting with [71,317]-exponents: u = 4, v = 17 n_start has 50 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(71,317) = 0.5966084369667324921 D2(71,317) = 0.04762933965961085075 C1(71,317) = 0.7957475144252028626 C2(71,317) = 1.799843066203444535 C3(71,317) = 3.170067125122248899 C4(71,317) = 2536 Sum = 4748.288977667065738 Averaged sum = 0.4744019360242847175 logp*logq = 24.54835470536421979 -------------- ************************************* p = 71; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55108689394.51880979 -------------- Searches starting with [71,331]-exponents: u = 4, v = 11 n_start has 36 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(71,331) = 0.9933863903092485389 D2(71,331) = 0.1183332559553044581 C1(71,331) = 1.363472589451655556 C2(71,331) = 1.968469353700428326 C3(71,331) = 7.220298079032637182 C4(71,331) = 2648 Sum = 4323.136874172974824 Averaged sum = 0.4319249549578354305 logp*logq = 24.73257324293145528 -------------- ************************************* p = 71; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59494540555.86875547 -------------- Searches starting with [71,337]-exponents: u = 4, v = 8 n_start has 28 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(71,337) = 0.8962516714289253065 D2(71,337) = 0.1477442567652429078 C1(71,337) = 1.201102043248651440 C2(71,337) = 1.861551495923822389 C3(71,337) = 5.705756059396196125 C4(71,337) = 2696 Sum = 4410.813410475737615 Averaged sum = 0.4406847247952580293 logp*logq = 24.80915038992466402 -------------- ************************************* p = 71; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67392463678.81825727 -------------- Searches starting with [71,347]-exponents: u = 4, v = 8 n_start has 28 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(71,347) = 0.8136017597016482272 D2(71,347) = 0.05356022595397684745 C1(71,347) = 1.027716327685142656 C2(71,347) = 2.043695848296572053 C3(71,347) = 4.437467766301033225 C4(71,347) = 2776 Sum = 3840.603816899717802 Averaged sum = 0.3837150381556317117 logp*logq = 24.93379903375859712 -------------- ************************************* p = 71; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69063848993.26699379 -------------- Searches starting with [71,349]-exponents: u = 4, v = 8 n_start has 28 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(71,349) = 0.7781529537978815376 D2(71,349) = 0.06331954167745553337 C1(71,349) = 1.248871440756142679 C2(71,349) = 1.331026928395567166 C3(71,349) = 6.114947943458319609 C4(71,349) = 2792 Sum = 4751.587628878997881 Averaged sum = 0.4747315045338193507 logp*logq = 24.95829726140190055 -------------- ************************************* p = 71; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72501662936.21489626 -------------- Searches starting with [71,353]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(71,353) = 1.122685573370604071 D2(71,353) = 0.06541776124660795652 C1(71,353) = 1.452564631652086428 C2(71,353) = 1.313389747430797169 C3(71,353) = 8.215894360340602628 C4(71,353) = 2824 Sum = 5336.082413203551698 Averaged sum = 0.5331284257371916973 logp*logq = 25.00687533559523006 -------------- ************************************* p = 71; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77902194141.46304227 -------------- Searches starting with [71,359]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(71,359) = 0.6438087055651516894 D2(71,359) = 0.04712188802846687627 C1(71,359) = 0.8261959876886230512 C2(71,359) = 1.946601119323442599 C3(71,359) = 3.313151809177775975 C4(71,359) = 2872 Sum = 4666.251102291795829 Averaged sum = 0.4662055252564487790 logp*logq = 25.07871995555563474 -------------- ************************************* p = 71; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85575692731.32239039 -------------- Searches starting with [71,367]-exponents: u = 18, v = 5 n_start has 47 digits starting right neighbors generation We generated 181 left neighbors We generated 9829 right neighbors We generated 10009 non-negative rho_i D1(71,367) = 0.7285424893503061835 D2(71,367) = 0.01235338909528877571 C1(71,367) = 1.094001474221075974 C2(71,367) = 1.762638224307967520 C3(71,367) = 4.885104098009961902 C4(71,367) = 2936 Sum = 4629.315945949062529 Averaged sum = 0.4625153307971887830 logp*logq = 25.17266711634973081 -------------- ************************************* p = 71; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91700454239.73216160 -------------- Searches starting with [71,373]-exponents: u = 25, v = 5 n_start has 60 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(71,373) = 0.8209767163630312530 D2(71,373) = 0.1042830333081207498 C1(71,373) = 1.190774309692761267 C2(71,373) = 1.856614283196504145 C3(71,373) = 5.620953658446980305 C4(71,373) = 2984 Sum = 4066.429954060612370 Averaged sum = 0.4062773457948458757 logp*logq = 25.24179316973780652 -------------- ************************************* p = 71; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98155235749.22790386 -------------- Searches starting with [71,379]-exponents: u = 39, v = 5 n_start has 86 digits starting right neighbors generation We generated 696 left neighbors We generated 9314 right neighbors We generated 10009 non-negative rho_i D1(71,379) = 0.9842508548041504008 D2(71,379) = 0.03767904330577315478 C1(71,379) = 1.373779822698748458 C2(71,379) = 1.793250099002129680 C3(71,379) = 7.329011679450806153 C4(71,379) = 3032 Sum = 3538.111956925331971 Averaged sum = 0.3534930519457819933 logp*logq = 25.30981610060911573 -------------- ************************************* p = 71; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102647749516.4870244 -------------- Searches starting with [71,383]-exponents: u = 60, v = 5 n_start has 124 digits starting right neighbors generation We generated 1461 left neighbors We generated 8549 right neighbors We generated 10009 non-negative rho_i D1(71,383) = 0.9659217585988514905 D2(71,383) = 0.04223115879639840137 C1(71,383) = 1.307976034896121074 C2(71,383) = 1.701813190720527017 C3(71,383) = 6.662080955112941312 C4(71,383) = 3064 Sum = 4042.474641734382229 Averaged sum = 0.4038839686016966959 logp*logq = 25.35456905631799795 -------------- ************************************* p = 71; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109679648035.3758441 -------------- Searches starting with [71,389]-exponents: u = 284, v = 5 n_start has 539 digits --- performed 5000 steps in the continued fraction search [71,389]-exponents: u = 96, v = 121 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,389) = 0.7319911873818702313 D2(71,389) = 0.2410741057754001515 C1(71,389) = 0.9198682327208867758 C2(71,389) = 1.401875379598977922 C3(71,389) = 3.795116653698955239 C4(71,389) = 3112 Sum = 5448.293898451554927 Averaged sum = 0.5448838782329787905 logp*logq = 25.42082966318160717 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,389) = 0.7319911873818702313 D2(71,389) = 0.2410741057754001515 C1(71,389) = 0.9198682327208867758 C2(71,389) = 1.401875379598977922 C3(71,389) = 3.795116653698955239 C4(71,389) = 3112 Sum = 5448.293898451554927 Averaged sum = 0.5448838782329787905 logp*logq = 25.42082966318160717 -------------- ************************************* p = 71; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119622258521.0755479 -------------- Searches starting with [71,397]-exponents: u = 7, v = 52 n_start has 149 digits starting right neighbors generation We generated 2164 left neighbors We generated 7846 right neighbors We generated 10009 non-negative rho_i D1(71,397) = 0.7855739339471579486 D2(71,397) = 0.01477692021998821401 C1(71,397) = 1.051049336116603480 C2(71,397) = 1.695199062060667269 C3(71,397) = 4.590157669208959376 C4(71,397) = 3176 Sum = 4169.578208336496728 Averaged sum = 0.4165828962270453319 logp*logq = 25.50760476918273915 -------------- ************************************* p = 71; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124844994398.0769488 -------------- Searches starting with [71,401]-exponents: u = 7, v = 32 n_start has 97 digits starting right neighbors generation We generated 918 left neighbors We generated 9092 right neighbors We generated 10009 non-negative rho_i D1(71,401) = 0.8131055731642395549 D2(71,401) = 0.01079408960621252504 C1(71,401) = 1.122810599413203037 C2(71,401) = 1.798351314106074816 C3(71,401) = 5.093477956103007194 C4(71,401) = 3208 Sum = 3529.602000159022611 Averaged sum = 0.3526428214765733450 logp*logq = 25.55033875994155382 -------------- ************************************* p = 71; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 135812701947.7646554 -------------- Searches starting with [71,409]-exponents: u = 7, v = 17 n_start has 58 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(71,409) = 0.7055867873687212239 D2(71,409) = 0.07884269980764542676 C1(71,409) = 0.9397190932652991935 C2(71,409) = 1.869833164061757119 C3(71,409) = 3.905933756895075541 C4(71,409) = 3272 Sum = 4359.807795453297821 Averaged sum = 0.4355887496706262185 logp*logq = 25.63454258192202513 -------------- ************************************* p = 71; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150542439365.7439134 -------------- Searches starting with [71,419]-exponents: u = 7, v = 12 n_start has 45 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(71,419) = 1.049422549199283620 D2(71,419) = 0.1120167636737327751 C1(71,419) = 1.586494007620726082 C2(71,419) = 1.159920954950862221 C3(71,419) = 9.976721752798059053 C4(71,419) = 3352 Sum = 3184.419375422713394 Averaged sum = 0.3181555975045172739 logp*logq = 25.73751087052503209 -------------- ************************************* p = 71; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 153629452063.9194364 -------------- Searches starting with [71,421]-exponents: u = 7, v = 7 n_start has 32 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(71,421) = 0.8072876948090237106 D2(71,421) = 0.1472610484855566815 C1(71,421) = 1.048138046484622610 C2(71,421) = 1.413013091242134950 C3(71,421) = 4.570823112977244797 C4(71,421) = 3368 Sum = 4547.539203227938162 Averaged sum = 0.4543450098139612511 logp*logq = 25.75780938448702900 -------------- ************************************* p = 71; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169798264112.7587593 -------------- Searches starting with [71,431]-exponents: u = 7, v = 7 n_start has 32 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(71,431) = 1.575138198118216919 D2(71,431) = 0.01843962838158531712 C1(71,431) = 2.207606514453479811 C2(71,431) = 1.992307527081096645 C3(71,431) = 24.55227116944361737 C4(71,431) = 3448 Sum = 6584.843312245965735 Averaged sum = 0.6578922282191992941 logp*logq = 25.85787688764277235 -------------- ************************************* p = 71; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173182458997.7944819 -------------- Searches starting with [71,433]-exponents: u = 7, v = 7 n_start has 32 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(71,433) = 0.8396524112182717412 D2(71,433) = 0.02312555528365470823 C1(71,433) = 1.155855537892632903 C2(71,433) = 1.997900884708926858 C3(71,433) = 5.343456246498647982 C4(71,433) = 3464 Sum = 4733.568663127598503 Averaged sum = 0.4729312282073732144 logp*logq = 25.87761155195172796 -------------- ************************************* p = 71; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 183645519136.6521441 -------------- Searches starting with [71,439]-exponents: u = 7, v = 7 n_start has 32 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(71,439) = 0.8865654610219227521 D2(71,439) = 0.03512850155648224562 C1(71,439) = 1.445021357430430511 C2(71,439) = 1.269808579726032019 C3(71,439) = 8.126526896031237255 C4(71,439) = 3512 Sum = 4725.451879938679017 Averaged sum = 0.4721202797421000117 logp*logq = 25.93627320998522726 -------------- ************************************* p = 71; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 190885047472.7234405 -------------- Searches starting with [71,443]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(71,443) = 0.9472856797750225683 D2(71,443) = 0.02831924152853066086 C1(71,443) = 1.543775102090631976 C2(71,443) = 1.222138251188811697 C3(71,443) = 9.377530891749953117 C4(71,443) = 3544 Sum = 4526.973258866744428 Averaged sum = 0.4522902646484908011 logp*logq = 25.97493723811867547 -------------- ************************************* p = 71; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 202151564480.5753837 -------------- Searches starting with [71,449]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(71,449) = 0.7305496644985750998 D2(71,449) = 0.04735868482131000669 C1(71,449) = 0.9422276954780315628 C2(71,449) = 1.571042250691897476 C3(71,449) = 3.920166355093756544 C4(71,449) = 3592 Sum = 4542.866854270117804 Averaged sum = 0.4538781950514654615 logp*logq = 26.03228357220965156 -------------- ************************************* p = 71; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 217957220363.5102158 -------------- Searches starting with [71,457]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(71,457) = 0.6973574199677686268 D2(71,457) = 0.06925979204849386900 C1(71,457) = 0.9067674153670186487 C2(71,457) = 1.754114870017805273 C3(71,457) = 3.723709317108544698 C4(71,457) = 3656 Sum = 4446.879622852817350 Averaged sum = 0.4442881029925884054 logp*logq = 26.10756464361389528 -------------- ************************************* p = 71; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226206110906.7512820 -------------- Searches starting with [71,461]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(71,461) = 0.7491933532529527606 D2(71,461) = 0.08491019227747509980 C1(71,461) = 0.9542120224871114063 C2(71,461) = 1.921883782818760027 C3(71,461) = 3.988878615631777662 C4(71,461) = 3688 Sum = 4151.547152126964731 Averaged sum = 0.4147814119419487193 logp*logq = 26.14471241576639834 -------------- ************************************* p = 71; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 230419086771.1140420 -------------- Searches starting with [71,463]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(71,463) = 0.8569659737210909235 D2(71,463) = 0.08970001835704516194 C1(71,463) = 1.203704294225129841 C2(71,463) = 1.927479092567411157 C3(71,463) = 5.727324532311775041 C4(71,463) = 3704 Sum = 4211.655490452123375 Averaged sum = 0.4207868408884127660 logp*logq = 26.16316560422546339 -------------- ************************************* p = 71; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239025013963.2609675 -------------- Searches starting with [71,467]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(71,467) = 0.9166239286745149968 D2(71,467) = 0.09940283622276545997 C1(71,467) = 1.238641850818095124 C2(71,467) = 1.938782259731962263 C3(71,467) = 6.024921159671298428 C4(71,467) = 3736 Sum = 4173.656233639887624 Averaged sum = 0.4169903320651301452 logp*logq = 26.19983404433549468 -------------- ************************************* p = 71; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 266325196884.4778485 -------------- Searches starting with [71,479]-exponents: u = 13, v = 2 n_start has 30 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(71,479) = 0.6171382743218980435 D2(71,479) = 0.06221870334798665518 C1(71,479) = 0.8127326144993477001 C2(71,479) = 2.100183394049596145 C3(71,479) = 3.249104520157760529 C4(71,479) = 3832 Sum = 4464.480248096329507 Averaged sum = 0.4460465828850364179 logp*logq = 26.30798394370737308 -------------- ************************************* p = 71; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 285808816734.0925532 -------------- Searches starting with [71,487]-exponents: u = 13, v = 2 n_start has 30 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(71,487) = 0.7900801275818136309 D2(71,487) = 0.001036942398287757788 C1(71,487) = 1.091009257173825390 C2(71,487) = 2.042946983818136922 C3(71,487) = 4.863956422124160177 C4(71,487) = 3896 Sum = 3871.653150531964572 Averaged sum = 0.3868171795915640495 logp*logq = 26.37858895128087745 -------------- ************************************* p = 71; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 295950394998.0350252 -------------- Searches starting with [71,491]-exponents: u = 13, v = 2 n_start has 30 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(71,491) = 0.7459232018449585636 D2(71,491) = 0.1323610868057007567 C1(71,491) = 1.136083082735194132 C2(71,491) = 1.407471562691577146 C3(71,491) = 5.192444752082170440 C4(71,491) = 3928 Sum = 4457.318780617958238 Averaged sum = 0.4453310800897150803 logp*logq = 26.41345769276052796 -------------- ************************************* p = 71; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 317058136004.2595998 -------------- Searches starting with [71,499]-exponents: u = 16, v = 2 n_start has 36 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(71,499) = 0.9626360992919692431 D2(71,499) = 0.1026359494064328245 C1(71,499) = 1.246321192871270957 C2(71,499) = 2.053395796779894385 C3(71,499) = 6.092379066573453656 C4(71,499) = 3992 Sum = 4713.140048251008065 Averaged sum = 0.4708902036418231657 logp*logq = 26.48235098834421024 -------------- ************************************* p = 71; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 328034473323.9480971 -------------- Searches starting with [71,503]-exponents: u = 16, v = 2 n_start has 36 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(71,503) = 0.6924637737731789960 D2(71,503) = 0.06176011395326884504 C1(71,503) = 0.9441636738910783440 C2(71,503) = 2.014345991832961017 C3(71,503) = 3.931185607709509194 C4(71,503) = 4024 Sum = 4355.511308584005887 Averaged sum = 0.4351594873198127572 logp*logq = 26.51638454140517170 -------------- ************************************* p = 71; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 345041571857.4440457 -------------- Searches starting with [71,509]-exponents: u = 19, v = 2 n_start has 41 digits starting right neighbors generation We generated 108 left neighbors We generated 9902 right neighbors We generated 10009 non-negative rho_i D1(71,509) = 0.7876714978139561521 D2(71,509) = 0.007566648685177878491 C1(71,509) = 1.175536001101121166 C2(71,509) = 1.962864354584369060 C3(71,509) = 5.498126214072383259 C4(71,509) = 4072 Sum = 4320.925491916994399 Averaged sum = 0.4317040155776795283 logp*logq = 26.56693074485597246 -------------- ************************************* p = 71; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 381074152371.2966321 -------------- Searches starting with [71,521]-exponents: u = 22, v = 2 n_start has 47 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(71,521) = 0.7458806975000806360 D2(71,521) = 0.03915780990395103988 C1(71,521) = 0.9746436008313026388 C2(71,521) = 1.925524907528973453 C3(71,521) = 4.108811640416039888 C4(71,521) = 4168 Sum = 4758.831111207188067 Averaged sum = 0.4754552014394233257 logp*logq = 26.66625981878244591 -------------- ************************************* p = 71; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 387349005110.6362704 -------------- Searches starting with [71,523]-exponents: u = 22, v = 2 n_start has 47 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(71,523) = 0.8739857946567882008 D2(71,523) = 0.01877910291840504385 C1(71,523) = 1.122759569494755093 C2(71,523) = 1.905993584343962427 C3(71,523) = 5.093101112886312387 C4(71,523) = 4184 Sum = 4558.337085168664819 Averaged sum = 0.4554238270725012307 logp*logq = 26.68259194557036272 -------------- ************************************* p = 71; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 447450483759.7038725 -------------- Searches starting with [71,541]-exponents: u = 31, v = 2 n_start has 63 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(71,541) = 0.8125336200723012117 D2(71,541) = 0.03136543392134918670 C1(71,541) = 1.155601556652767304 C2(71,541) = 1.817518370818046490 C3(71,541) = 5.341488897545678333 C4(71,541) = 4328 Sum = 3540.827334119419402 Averaged sum = 0.3537643455009910482 logp*logq = 26.82683171772276382 -------------- ************************************* p = 71; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 468989888716.9616761 -------------- Searches starting with [71,547]-exponents: u = 34, v = 2 n_start has 69 digits starting right neighbors generation We generated 250 left neighbors We generated 9760 right neighbors We generated 10009 non-negative rho_i D1(71,547) = 0.9206893323845737426 D2(71,547) = 0.03684813058501899518 C1(71,547) = 1.178867567891079941 C2(71,547) = 1.783832408828485566 C3(71,547) = 5.524748787281438416 C4(71,547) = 4376 Sum = 4618.819909222323787 Averaged sum = 0.4614666709184058134 logp*logq = 26.87384704592139911 -------------- ************************************* p = 71; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 506642578988.7552205 -------------- Searches starting with [71,557]-exponents: u = 43, v = 2 n_start has 86 digits starting right neighbors generation We generated 388 left neighbors We generated 9622 right neighbors We generated 10009 non-negative rho_i D1(71,557) = 0.6218611219659590684 D2(71,557) = 0.02582065832670359155 C1(71,557) = 0.8227346549144272085 C2(71,557) = 1.709464251409319096 C3(71,557) = 3.296566146107154009 C4(71,557) = 4456 Sum = 4464.770073782301005 Averaged sum = 0.4460755393927766016 logp*logq = 26.95107161951892999 -------------- ************************************* p = 71; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 530318510687.0492260 -------------- Searches starting with [71,563]-exponents: u = 52, v = 2 n_start has 102 digits starting right neighbors generation We generated 556 left neighbors We generated 9454 right neighbors We generated 10009 non-negative rho_i D1(71,563) = 0.9650693158355157424 D2(71,563) = 0.03254640074296189865 C1(71,563) = 1.319198853446461611 C2(71,563) = 1.665815519710394577 C3(71,563) = 6.771372737591374312 C4(71,563) = 4504 Sum = 3427.269561354662451 Averaged sum = 0.3424187792341555052 logp*logq = 26.99674362654676325 -------------- ************************************* p = 71; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 554832147995.9089010 -------------- Searches starting with [71,569]-exponents: u = 61, v = 2 n_start has 119 digits starting right neighbors generation We generated 754 left neighbors We generated 9256 right neighbors We generated 10009 non-negative rho_i D1(71,569) = 0.6579941735831416313 D2(71,569) = 0.006041457840687746492 C1(71,569) = 0.8873935521842002211 C2(71,569) = 1.598623592566016875 C3(71,569) = 3.620565298492861766 C4(71,569) = 4552 Sum = 4695.579833120450372 Averaged sum = 0.4691357611270307095 logp*logq = 27.04193146890643498 -------------- ************************************* p = 71; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 563193024225.2536118 -------------- Searches starting with [71,571]-exponents: u = 67, v = 2 n_start has 130 digits starting right neighbors generation We generated 935 left neighbors We generated 9075 right neighbors We generated 10009 non-negative rho_i D1(71,571) = 0.6005479585794551105 D2(71,571) = 0.002759254332254209140 C1(71,571) = 0.8076340378382856880 C2(71,571) = 1.577382265412545015 C3(71,571) = 3.225174346770588850 C4(71,571) = 4568 Sum = 4464.882517596303035 Averaged sum = 0.4460867736633333035 logp*logq = 27.05688825574985390 -------------- ************************************* p = 71; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 588855282957.9281637 -------------- Searches starting with [71,577]-exponents: u = 85, v = 2 n_start has 163 digits starting right neighbors generation We generated 1346 left neighbors We generated 8664 right neighbors We generated 10009 non-negative rho_i D1(71,577) = 0.9723624759559070005 D2(71,577) = 0.01643440233327943708 C1(71,577) = 1.287243651983021277 C2(71,577) = 1.518684282130329918 C3(71,577) = 6.464799832885512905 C4(71,577) = 4616 Sum = 5641.195100879874771 Averaged sum = 0.5636122590548381228 logp*logq = 27.10144629084682399 -------------- ************************************* p = 71; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 633604015562.6776344 -------------- Searches starting with [71,587]-exponents: u = 166, v = 2 n_start has 313 digits starting right neighbors generation We generated 5126 left neighbors We generated 4884 right neighbors We generated 10009 non-negative rho_i D1(71,587) = 0.6361710370169768959 D2(71,587) = 0.007944902781382365299 C1(71,587) = 0.8159771032810823712 C2(71,587) = 1.366141550616237951 C3(71,587) = 3.264424892562394884 C4(71,587) = 4696 Sum = 5058.592927560683784 Averaged sum = 0.5054044287701752207 logp*logq = 27.17469001512016416 -------------- ************************************* p = 71; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 661674563179.3798987 -------------- Searches starting with [71,593]-exponents: u = 361, v = 2 n_start has 674 digits --- performed 5000 steps in the continued fraction search [71,593]-exponents: u = 73, v = 180 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,593) = 0.7386302667636080176 D2(71,593) = 0.1732370897263543290 C1(71,593) = 0.9204880985667336875 C2(71,593) = 1.344651714861101712 C3(71,593) = 3.798529018666454123 C4(71,593) = 4744 Sum = 5507.823004075383000 Averaged sum = 0.5508373841459528953 logp*logq = 27.21803967560452025 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,593) = 0.7386302667636080176 D2(71,593) = 0.1732370897263543290 C1(71,593) = 0.9204880985667336875 C2(71,593) = 1.344651714861101712 C3(71,593) = 3.798529018666454123 C4(71,593) = 4744 Sum = 5507.823004075383000 Averaged sum = 0.5508373841459528953 logp*logq = 27.21803967560452025 -------------- ************************************* p = 71; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 690687228840.5596419 -------------- Searches starting with [71,599]-exponents: u = 3, v = 1715 n_start has 4769 digits --- performed 5000 steps in the continued fraction search [71,599]-exponents: u = 2135, v = 292 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,599) = 0.6865105583727972982 D2(71,599) = 0.5385880513798531342 C1(71,599) = 0.8132636665998850471 C2(71,599) = 1.449674693149302015 C3(71,599) = 3.251607201088448044 C4(71,599) = 4792 Sum = 6445.459173210161566 Averaged sum = 0.6446103783588520418 logp*logq = 27.26095292270180999 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,599) = 0.6865105583727972982 D2(71,599) = 0.5385880513798531342 C1(71,599) = 0.8132636665998850471 C2(71,599) = 1.449674693149302015 C3(71,599) = 3.251607201088448044 C4(71,599) = 4792 Sum = 6445.459173210161566 Averaged sum = 0.6446103783588520418 logp*logq = 27.26095292270180999 -------------- ************************************* p = 71; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 700571220694.1060412 -------------- Searches starting with [71,601]-exponents: u = 3, v = 465 n_start has 1298 digits --- performed 5000 steps in the continued fraction search [71,601]-exponents: u = 447, v = 162 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,601) = 0.6929582917705397537 D2(71,601) = 0.3329665869527892348 C1(71,601) = 0.8463922340382039627 C2(71,601) = 1.396349407087393720 C3(71,601) = 3.411603592773107129 C4(71,601) = 4808 Sum = 5865.141352582227680 Averaged sum = 0.5865727925374765157 logp*logq = 27.27516186878172234 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,601) = 0.6929582917705397537 D2(71,601) = 0.3329665869527892348 C1(71,601) = 0.8463922340382039627 C2(71,601) = 1.396349407087393720 C3(71,601) = 3.411603592773107129 C4(71,601) = 4808 Sum = 5865.141352582227680 Averaged sum = 0.5865727925374765157 logp*logq = 27.27516186878172234 -------------- ************************************* p = 71; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 730873856654.3852550 -------------- Searches starting with [71,607]-exponents: u = 3, v = 145 n_start has 410 digits --- performed 5000 steps in the continued fraction search [71,607]-exponents: u = 51, v = 88 --- starting right neighbors generation We generated 8573 left neighbors We generated 1437 right neighbors We generated 10009 non-negative rho_i D1(71,607) = 0.9514136637947989995 D2(71,607) = 0.008496401689761173973 C1(71,607) = 1.206954832924581198 C2(71,607) = 1.315230486266464592 C3(71,607) = 5.754380832125751826 C4(71,607) = 4856 Sum = 5226.560065305724865 Averaged sum = 0.5221860390953866385 logp*logq = 27.31750671908923182 -------------- ************************************* p = 71; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 762169688317.8079736 -------------- Searches starting with [71,613]-exponents: u = 3, v = 87 n_start has 249 digits starting right neighbors generation We generated 3160 left neighbors We generated 6850 right neighbors We generated 10009 non-negative rho_i D1(71,613) = 0.6817692945841406593 D2(71,613) = 0.01598393392914933952 C1(71,613) = 0.8845304823078094421 C2(71,613) = 1.430517947182576975 C3(71,613) = 3.605566906691621500 C4(71,613) = 4904 Sum = 4655.537262249113710 Averaged sum = 0.4651351046307437016 logp*logq = 27.35943505592285994 -------------- ************************************* p = 71; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 783596378060.8962229 -------------- Searches starting with [71,617]-exponents: u = 3, v = 69 n_start has 199 digits starting right neighbors generation We generated 2135 left neighbors We generated 7875 right neighbors We generated 10009 non-negative rho_i D1(71,617) = 0.9675889888630232596 D2(71,617) = 0.004094548664710180428 C1(71,617) = 1.269653840977486603 C2(71,617) = 1.480884387789524269 C3(71,617) = 6.302009920760309187 C4(71,617) = 4936 Sum = 4409.184508357358475 Averaged sum = 0.4405219810527883380 logp*logq = 27.38715990082757476 -------------- ************************************* p = 71; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 794481067650.1850280 -------------- Searches starting with [71,619]-exponents: u = 3, v = 61 n_start has 176 digits starting right neighbors generation We generated 1597 left neighbors We generated 8413 right neighbors We generated 10009 non-negative rho_i D1(71,619) = 0.6869671889667201981 D2(71,619) = 0.009822855344669086212 C1(71,619) = 0.9056890397421426062 C2(71,619) = 1.509064583556975419 C3(71,619) = 3.717891717548418339 C4(71,619) = 4952 Sum = 4943.944149783161510 Averaged sum = 0.4939498601042223508 logp*logq = 27.40095499337580545 -------------- ************************************* p = 71; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 862241267712.1656413 -------------- Searches starting with [71,631]-exponents: u = 3, v = 39 n_start has 115 digits starting right neighbors generation We generated 720 left neighbors We generated 9290 right neighbors We generated 10009 non-negative rho_i D1(71,631) = 1.360597882129768541 D2(71,631) = 0.0002024609491316310930 C1(71,631) = 1.771943662552175068 C2(71,631) = 1.626820031247584695 C3(71,631) = 13.05456193415444027 C4(71,631) = 5048 Sum = 5704.022554636025838 Averaged sum = 0.5698893550440629271 logp*logq = 27.48280096138493057 -------------- ************************************* p = 71; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 922013415417.0311648 -------------- Searches starting with [71,641]-exponents: u = 3, v = 29 n_start has 87 digits starting right neighbors generation We generated 393 left neighbors We generated 9617 right neighbors We generated 10009 non-negative rho_i D1(71,641) = 0.9112142074766101508 D2(71,641) = 0.004414825240321348637 C1(71,641) = 1.254361492095577380 C2(71,641) = 1.707672942892543600 C3(71,641) = 6.163817261094497833 C4(71,641) = 5128 Sum = 5116.437210832147578 Averaged sum = 0.5111836557930010568 logp*logq = 27.54982561074100135 -------------- ************************************* p = 71; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 934338844609.5668761 -------------- Searches starting with [71,643]-exponents: u = 3, v = 29 n_start has 87 digits starting right neighbors generation We generated 393 left neighbors We generated 9617 right neighbors We generated 10009 non-negative rho_i D1(71,643) = 0.6355041688170116574 D2(71,643) = 0.03173740377910216089 C1(71,643) = 0.8131311446979230433 C2(71,643) = 1.735462222546395285 C3(71,643) = 3.250982486744949236 C4(71,643) = 5144 Sum = 4413.671642088121182 Averaged sum = 0.4409702909469598543 logp*logq = 27.56310499804456582 -------------- ************************************* p = 71; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 959367746279.3327978 -------------- Searches starting with [71,647]-exponents: u = 3, v = 27 n_start has 82 digits starting right neighbors generation We generated 364 left neighbors We generated 9646 right neighbors We generated 10009 non-negative rho_i D1(71,647) = 0.7930096382296373205 D2(71,647) = 0.02083476503522876660 C1(71,647) = 1.102634004763066594 C2(71,647) = 1.756514921159496531 C3(71,647) = 4.946631718833694561 C4(71,647) = 5176 Sum = 2961.935641177415349 Averaged sum = 0.2959272296110915525 logp*logq = 27.58954030681191231 -------------- ************************************* p = 71; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 997869557151.0449867 -------------- Searches starting with [71,653]-exponents: u = 3, v = 23 n_start has 71 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(71,653) = 0.9835634555619289518 D2(71,653) = 0.02137242265712629560 C1(71,653) = 1.286368228431317373 C2(71,653) = 1.793890508218363738 C3(71,653) = 6.456599430151688639 C4(71,653) = 5224 Sum = 4927.357699501621934 Averaged sum = 0.4922927065142993240 logp*logq = 27.62888840045785934 -------------- ************************************* p = 71; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1037543066389.033028 -------------- Searches starting with [71,659]-exponents: u = 3, v = 21 n_start has 65 digits starting right neighbors generation We generated 231 left neighbors We generated 9779 right neighbors We generated 10009 non-negative rho_i D1(71,659) = 0.8595830395465693394 D2(71,659) = 0.005269283445732872114 C1(71,659) = 1.155993713738777535 C2(71,659) = 1.820267481869994482 C3(71,659) = 5.344526866512826345 C4(71,659) = 5272 Sum = 4777.939610478417484 Averaged sum = 0.4773643331480085407 logp*logq = 27.66787659796231971 -------------- ************************************* p = 71; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1051032173465.016444 -------------- Searches starting with [71,661]-exponents: u = 3, v = 21 n_start has 65 digits starting right neighbors generation We generated 231 left neighbors We generated 9779 right neighbors We generated 10009 non-negative rho_i D1(71,661) = 0.6673637705812135842 D2(71,661) = 0.02523867394737968347 C1(71,661) = 0.9465786460494994661 C2(71,661) = 1.840712784596092283 C3(71,661) = 3.944974637048192180 C4(71,661) = 5288 Sum = 4282.228188519958433 Averaged sum = 0.4278377648636185865 logp*logq = 27.68079381959555597 -------------- ************************************* p = 71; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1134809352167.322247 -------------- Searches starting with [71,673]-exponents: u = 3, v = 17 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(71,673) = 0.6769633433023291518 D2(71,673) = 0.04212424661888301796 C1(71,673) = 0.9219026688350217341 C2(71,673) = 1.908936216757478487 C3(71,673) = 3.806327730601440748 C4(71,673) = 5384 Sum = 4169.967311572963167 Averaged sum = 0.4166217715628897159 logp*logq = 27.75748578109434827 -------------- ************************************* p = 71; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1163840211200.172449 -------------- Searches starting with [71,677]-exponents: u = 3, v = 17 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(71,677) = 0.7470030767629623177 D2(71,677) = 0.08107187226023709437 C1(71,677) = 1.079456729740227577 C2(71,677) = 1.948833897273393520 C3(71,677) = 4.783163742861030486 C4(71,677) = 5416 Sum = 4162.094683694656498 Averaged sum = 0.4158352166744586370 logp*logq = 27.78274618021341013 -------------- ************************************* p = 71; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1208448359984.126489 -------------- Searches starting with [71,683]-exponents: u = 3, v = 15 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(71,683) = 0.7001469875137597386 D2(71,683) = 0.008609728940252723459 C1(71,683) = 0.9609943521996265883 C2(71,683) = 1.936417381005036201 C3(71,683) = 4.028297496499774672 C4(71,683) = 5464 Sum = 4057.263217385742578 Averaged sum = 0.4053614963918216183 logp*logq = 27.82035830550599254 -------------- ************************************* p = 71; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1269947986510.618767 -------------- Searches starting with [71,691]-exponents: u = 3, v = 13 n_start has 43 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(71,691) = 0.7580738845836112202 D2(71,691) = 0.07158953860370888148 C1(71,691) = 1.108618253337611522 C2(71,691) = 2.001310753249164940 C3(71,691) = 4.989738154852249765 C4(71,691) = 5528 Sum = 4372.637409581344457 Averaged sum = 0.4368705574564236643 logp*logq = 27.86999706005689879 -------------- ************************************* p = 71; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1350159047249.422421 -------------- Searches starting with [71,701]-exponents: u = 3, v = 13 n_start has 43 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(71,701) = 0.7932208216729120433 D2(71,701) = 0.1627617025143827623 C1(71,701) = 1.013302424628381877 C2(71,701) = 1.587288645243866148 C3(71,701) = 4.345692832076057520 C4(71,701) = 5608 Sum = 4228.871493970097791 Averaged sum = 0.4225068931931359567 logp*logq = 27.93124351421685600 -------------- ************************************* p = 71; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1417073391331.503945 -------------- Searches starting with [71,709]-exponents: u = 3, v = 11 n_start has 37 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(71,709) = 0.7058488106540674659 D2(71,709) = 0.04403666699002487429 C1(71,709) = 0.9042201691462025415 C2(71,709) = 2.051175464693374167 C3(71,709) = 3.709982102303750918 C4(71,709) = 5672 Sum = 4261.543527869398354 Averaged sum = 0.4257711587440701722 logp*logq = 27.97961486875492794 -------------- ************************************* p = 71; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1504252545912.635906 -------------- Searches starting with [71,719]-exponents: u = 3, v = 11 n_start has 37 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(71,719) = 0.6627117267037245201 D2(71,719) = 0.1144090777013793730 C1(71,719) = 0.8479426832327158554 C2(71,719) = 2.123919867219713296 C3(71,719) = 3.419281481311338529 C4(71,719) = 5752 Sum = 4424.194840103400050 Averaged sum = 0.4420216645122789539 logp*logq = 28.03931724352517141 -------------- ************************************* p = 71; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1576903621715.957558 -------------- Searches starting with [71,727]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(71,727) = 1.019140517848437172 D2(71,727) = 0.1015759349200671506 C1(71,727) = 1.540686078141477302 C2(71,727) = 1.229663859145110394 C3(71,727) = 9.335625003297523135 C4(71,727) = 5816 Sum = 3580.253395565242579 Averaged sum = 0.3577034064906826435 logp*logq = 28.08648430708684987 -------------- ************************************* p = 71; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1633131134225.887150 -------------- Searches starting with [71,733]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(71,733) = 0.9112610857116323622 D2(71,733) = 0.1440456570525837338 C1(71,733) = 1.227771169262941289 C2(71,733) = 1.953316847301450145 C3(71,733) = 5.930704530900565609 C4(71,733) = 5864 Sum = 5087.840708286395097 Averaged sum = 0.5083265769094210308 logp*logq = 28.12152022934183410 -------------- ************************************* p = 71; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1690880524322.481655 -------------- Searches starting with [71,739]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(71,739) = 0.7487540345681406285 D2(71,739) = 0.02021909371556067457 C1(71,739) = 0.9596560594773945612 C2(71,739) = 2.129760859705897431 C3(71,739) = 4.020488614969051671 C4(71,739) = 5912 Sum = 4354.577038500603324 Averaged sum = 0.4350661443201721774 logp*logq = 28.15627052948873713 -------------- ************************************* p = 71; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1730239584595.304446 -------------- Searches starting with [71,743]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(71,743) = 0.5633254273153670090 D2(71,743) = 0.03977576359638004875 C1(71,743) = 0.7381155732396060324 C2(71,743) = 2.150268121047683109 C3(71,743) = 2.915940251704305992 C4(71,743) = 5944 Sum = 4525.891173290131738 Averaged sum = 0.4521821533909613086 logp*logq = 28.17928100305500783 -------------- ************************************* p = 71; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1811058559039.158283 -------------- Searches starting with [71,751]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(71,751) = 0.6056972896565625872 D2(71,751) = 0.08131395809387379150 C1(71,751) = 0.8103838334005736951 C2(71,751) = 2.193692030595837614 C3(71,751) = 3.238058536269930407 C4(71,751) = 6008 Sum = 4274.761477989776243 Averaged sum = 0.4270917652102883648 logp*logq = 28.22493262950261289 -------------- ************************************* p = 71; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1873544745044.060818 -------------- Searches starting with [71,757]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(71,757) = 1.055877507966471375 D2(71,757) = 0.06633408498060320163 C1(71,757) = 1.636025398902433490 C2(71,757) = 1.201275730956473062 C3(71,757) = 10.71955905529975883 C4(71,757) = 6056 Sum = 3597.044513441535446 Averaged sum = 0.3593810084365606400 logp*logq = 28.25885333802495891 -------------- ************************************* p = 71; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1916109810307.651112 -------------- Searches starting with [71,761]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(71,761) = 0.8820205283588019733 D2(71,761) = 0.08467416129322396456 C1(71,761) = 1.125021841829706977 C2(71,761) = 1.371798882052351670 C3(71,761) = 5.109834239519131129 C4(71,761) = 6088 Sum = 4517.275383728793464 Averaged sum = 0.4513213491586365734 logp*logq = 28.28131810610406064 -------------- ************************************* p = 71; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2003457505811.077055 -------------- Searches starting with [71,769]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(71,769) = 0.8300322499678822037 D2(71,769) = 0.09377397807881152592 C1(71,769) = 1.133149038331744380 C2(71,769) = 2.008360129292263944 C3(71,769) = 5.170402670847102163 C4(71,769) = 6152 Sum = 4670.809787168117471 Averaged sum = 0.4666609838313635199 logp*logq = 28.32589555682067394 -------------- ************************************* p = 71; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2048257765247.400899 -------------- Searches starting with [71,773]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(71,773) = 0.8563504938081405570 D2(71,773) = 0.08804487262824618658 C1(71,773) = 1.195261374485495859 C2(71,773) = 2.003632232519928541 C3(71,773) = 5.657641595164276872 C4(71,773) = 6184 Sum = 4218.018221380096319 Averaged sum = 0.4214225418503443220 logp*logq = 28.34801067712306795 -------------- ************************************* p = 71; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2211124598320.965689 -------------- Searches starting with [71,787]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(71,787) = 0.6735526386447516789 D2(71,787) = 0.06333371525328443871 C1(71,787) = 0.8664549323503088797 C2(71,787) = 1.827676265606982345 C3(71,787) = 3.512300758735856463 C4(71,787) = 6296 Sum = 4365.909312138480393 Averaged sum = 0.4361983526964212602 logp*logq = 28.42452237004732249 -------------- ************************************* p = 71; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2333393591046.166971 -------------- Searches starting with [71,797]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(71,797) = 0.7385356191609067665 D2(71,797) = 0.04669951594176165633 C1(71,797) = 0.9487547516168694408 C2(71,797) = 1.649814876490011848 C3(71,797) = 3.957441206099189805 C4(71,797) = 6376 Sum = 4559.753397994220656 Averaged sum = 0.4555653310015206969 logp*logq = 28.47834480071637068 -------------- ************************************* p = 71; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2486873225199.167320 -------------- Searches starting with [71,809]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(71,809) = 1.029233806988027279 D2(71,809) = 0.02570169225285025753 C1(71,809) = 1.651669179449566004 C2(71,809) = 1.225367870015525682 C3(71,809) = 10.96547728179713019 C4(71,809) = 6472 Sum = 4329.772967987388899 Averaged sum = 0.4325879676278738035 logp*logq = 28.54204730446026431 -------------- ************************************* p = 71; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2513186146855.693930 -------------- Searches starting with [71,811]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(71,811) = 1.672540632098083845 D2(71,811) = 0.02090833024856156712 C1(71,811) = 2.683864176212056822 C2(71,811) = 1.056992812413835966 C3(71,811) = 48.97595253436594165 C4(71,811) = 6488 Sum = 2120.762988246745538 Averaged sum = 0.2118856017830697910 logp*logq = 28.55257244530645946 -------------- ************************************* p = 71; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2647963111181.509421 -------------- Searches starting with [71,821]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(71,821) = 0.8778359523540767914 D2(71,821) = 0.02927007100768818248 C1(71,821) = 1.128930427119074295 C2(71,821) = 2.101945231097555873 C3(71,821) = 5.138874133996206331 C4(71,821) = 6568 Sum = 4605.054578345828332 Averaged sum = 0.4600913755965459418 logp*logq = 28.60481182308358236 -------------- ************************************* p = 71; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2675569342870.443773 -------------- Searches starting with [71,823]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(71,823) = 0.6899199620168257543 D2(71,823) = 0.02682934426216927988 C1(71,823) = 0.8787183167761395769 C2(71,823) = 2.100009745303007772 C3(71,823) = 3.575310289416683172 C4(71,823) = 6584 Sum = 4016.557810163808727 Averaged sum = 0.4012946158621049782 logp*logq = 28.61518331208586788 -------------- ************************************* p = 71; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2731442274697.757570 -------------- Searches starting with [71,827]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(71,827) = 0.6580557421214189162 D2(71,827) = 0.02200546921356837095 C1(71,827) = 0.8995274912029162049 C2(71,827) = 2.096192608242405512 C3(71,827) = 3.684825417051916523 C4(71,827) = 6616 Sum = 4283.667040305080951 Averaged sum = 0.4279815206619123740 logp*logq = 28.63585089137115993 -------------- ************************************* p = 71; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2759711398923.151685 -------------- Searches starting with [71,829]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(71,829) = 0.6178440367076529070 D2(71,829) = 0.01962166592031076329 C1(71,829) = 0.8007432117384147636 C2(71,829) = 2.094310314176004990 C3(71,829) = 3.193112078823631914 C4(71,829) = 6632 Sum = 4315.758091786880629 Averaged sum = 0.4311877402124968158 logp*logq = 28.64614722458268883 -------------- ************************************* p = 71; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2904432419115.092179 -------------- Searches starting with [71,839]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(71,839) = 0.7088147420325632510 D2(71,839) = 0.007971632042684711221 C1(71,839) = 1.010975713894840641 C2(71,839) = 2.085149468592963891 C3(71,839) = 4.331057366469628513 C4(71,839) = 6712 Sum = 4224.575668358150539 Averaged sum = 0.4220776969085973163 logp*logq = 28.69725910645985765 -------------- ************************************* p = 71; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3116717616860.643881 -------------- Searches starting with [71,853]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(71,853) = 1.171176680344647207 D2(71,853) = 0.1113935535367119585 C1(71,853) = 1.747900501637698589 C2(71,853) = 1.250236388728449222 C3(71,853) = 12.60731894862033888 C4(71,853) = 6824 Sum = 3578.966526138017242 Averaged sum = 0.3575748352620658649 logp*logq = 28.76780151808323424 -------------- ************************************* p = 71; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3179496339763.829043 -------------- Searches starting with [71,857]-exponents: u = 19, v = 5 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(71,857) = 0.6744438302374944877 D2(71,857) = 0.1448396733580623500 C1(71,857) = 1.006552865458603487 C2(71,857) = 1.529280803097744014 C3(71,857) = 4.303372546417288753 C4(71,857) = 6856 Sum = 4533.843911736884914 Averaged sum = 0.4529767121327689993 logp*logq = 28.78774391645454110 -------------- ************************************* p = 71; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3211246314491.854759 -------------- Searches starting with [71,859]-exponents: u = 19, v = 5 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(71,859) = 0.7936092919896882725 D2(71,859) = 0.1522823061059337056 C1(71,859) = 1.053303925466803273 C2(71,859) = 2.055603400047332412 C3(71,859) = 4.605187100570999301 C4(71,859) = 6872 Sum = 4252.304588786534258 Averaged sum = 0.4248480955926200677 logp*logq = 28.79768023768338572 -------------- ************************************* p = 71; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3275473858396.030525 -------------- Searches starting with [71,863]-exponents: u = 19, v = 5 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(71,863) = 0.6947626465146298815 D2(71,863) = 0.1317294205453364194 C1(71,863) = 0.8843534518664199773 C2(71,863) = 2.035977858169213715 C3(71,863) = 3.604641562636709968 C4(71,863) = 6904 Sum = 4097.174365385281952 Averaged sum = 0.4093490224183516787 logp*logq = 28.81748366413580901 -------------- ************************************* p = 71; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3508044911724.754746 -------------- Searches starting with [71,877]-exponents: u = 27, v = 5 n_start has 65 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(71,877) = 1.082943575002324956 D2(71,877) = 0.06883318530070863337 C1(71,877) = 1.463391858899476098 C2(71,877) = 1.976293361830870693 C3(71,877) = 8.345888232446743526 C4(71,877) = 7016 Sum = 4943.885713658963920 Averaged sum = 0.4939440217463246997 logp*logq = 28.88607999301467138 -------------- ************************************* p = 71; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3576757884391.990679 -------------- Searches starting with [71,881]-exponents: u = 27, v = 5 n_start has 65 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(71,881) = 0.9087504193286168782 D2(71,881) = 0.05286943233408132317 C1(71,881) = 1.279353123529678180 C2(71,881) = 1.961237707944448683 C3(71,881) = 6.391260998860743105 C4(71,881) = 7048 Sum = 4390.561548815395362 Averaged sum = 0.4386613596578474735 logp*logq = 28.90547788713570793 -------------- ************************************* p = 71; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3611498257828.825928 -------------- Searches starting with [71,883]-exponents: u = 35, v = 5 n_start has 80 digits starting right neighbors generation We generated 516 left neighbors We generated 9494 right neighbors We generated 10009 non-negative rho_i D1(71,883) = 0.6634956984617114374 D2(71,883) = 0.04515752847834208522 C1(71,883) = 0.8481590386824495915 C2(71,883) = 1.953978287774664241 C3(71,883) = 3.420354255401641818 C4(71,883) = 7064 Sum = 4326.542172309828391 Averaged sum = 0.4322651785702695965 logp*logq = 28.91514383204174453 -------------- ************************************* p = 71; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3681753372536.919133 -------------- Searches starting with [71,887]-exponents: u = 35, v = 5 n_start has 80 digits starting right neighbors generation We generated 516 left neighbors We generated 9494 right neighbors We generated 10009 non-negative rho_i D1(71,887) = 0.7181817532396303587 D2(71,887) = 0.03022502509144047389 C1(71,887) = 0.9950417083104445907 C2(71,887) = 1.939947643802737568 C3(71,887) = 4.232145285552321913 C4(71,887) = 7096 Sum = 4183.075276866701921 Averaged sum = 0.4179313894361776322 logp*logq = 28.93441021456690815 -------------- ************************************* p = 71; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4048862858287.516610 -------------- Searches starting with [71,907]-exponents: u = 131, v = 5 n_start has 258 digits --- performed 5000 steps in the continued fraction search [71,907]-exponents: u = 25, v = 11 --- starting right neighbors generation We generated 5802 left neighbors We generated 4208 right neighbors We generated 10009 non-negative rho_i D1(71,907) = 0.6120559504959375274 D2(71,907) = 0.005115640076671192419 C1(71,907) = 0.7940831927077688936 C2(71,907) = 1.731753989861987391 C3(71,907) = 3.162426668579058107 C4(71,907) = 7256 Sum = 4647.498344104611330 Averaged sum = 0.4643319356683596093 logp*logq = 29.02945718189063303 -------------- ************************************* p = 71; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4125526976295.557156 -------------- Searches starting with [71,911]-exponents: u = 235, v = 5 n_start has 450 digits --- performed 5000 steps in the continued fraction search [71,911]-exponents: u = 195, v = 7 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,911) = 0.6975852795647197508 D2(71,911) = 0.1624888604142829087 C1(71,911) = 0.8828424805148074654 C2(71,911) = 1.514937606321193209 C3(71,911) = 3.596753322013686176 C4(71,911) = 7288 Sum = 5139.497133983421066 Averaged sum = 0.5140011135096930758 logp*logq = 29.04821487938484848 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,911) = 0.6975852795647197508 D2(71,911) = 0.1624888604142829087 C1(71,911) = 0.8828424805148074654 C2(71,911) = 1.514937606321193209 C3(71,911) = 3.596753322013686176 C4(71,911) = 7288 Sum = 5139.497133983421066 Averaged sum = 0.5140011135096930758 logp*logq = 29.04821487938484848 -------------- ************************************* p = 71; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4282184742160.470158 -------------- Searches starting with [71,919]-exponents: u = 8, v = 283 n_start has 854 digits --- performed 5000 steps in the continued fraction search [71,919]-exponents: u = 315, v = 80 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,919) = 0.7291428640627240643 D2(71,919) = 0.3329603492393684235 C1(71,919) = 0.9020012382925917176 C2(71,919) = 1.519162092686398660 C3(71,919) = 3.698065440264112498 C4(71,919) = 7352 Sum = 5543.225217866804594 Averaged sum = 0.5543779595826387233 logp*logq = 29.08548444906085396 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(71,919) = 0.7291428640627240643 D2(71,919) = 0.3329603492393684235 C1(71,919) = 0.9020012382925917176 C2(71,919) = 1.519162092686398660 C3(71,919) = 3.698065440264112498 C4(71,919) = 7352 Sum = 5543.225217866804594 Averaged sum = 0.5543779595826387233 logp*logq = 29.08548444906085396 -------------- ************************************* p = 71; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4484364013857.294231 -------------- Searches starting with [71,929]-exponents: u = 8, v = 58 n_start has 187 digits starting right neighbors generation We generated 3025 left neighbors We generated 6985 right neighbors We generated 10009 non-negative rho_i D1(71,929) = 0.6592172580165303388 D2(71,929) = 0.008224090944076185884 C1(71,929) = 0.8663186344392936311 C2(71,929) = 1.796752565131652467 C3(71,929) = 3.511606733201957894 C4(71,929) = 7432 Sum = 4718.551532877585095 Averaged sum = 0.4714308655088005889 logp*logq = 29.13161779845395238 -------------- ************************************* p = 71; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4651302166654.354376 -------------- Searches starting with [71,937]-exponents: u = 8, v = 38 n_start has 128 digits starting right neighbors generation We generated 1419 left neighbors We generated 8591 right neighbors We generated 10009 non-negative rho_i D1(71,937) = 1.168250287036365831 D2(71,937) = 0.008467255797750189514 C1(71,937) = 1.580290706791526616 C2(71,937) = 1.899524832921116177 C3(71,937) = 9.887391909059841084 C4(71,937) = 7496 Sum = 4034.646108743743789 Averaged sum = 0.4031018192370610240 logp*logq = 29.16816833216474212 -------------- ************************************* p = 71; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4736533904436.815774 -------------- Searches starting with [71,941]-exponents: u = 8, v = 28 n_start has 99 digits starting right neighbors generation We generated 797 left neighbors We generated 9213 right neighbors We generated 10009 non-negative rho_i D1(71,941) = 0.6632628132966723641 D2(71,941) = 0.02347642934751839203 C1(71,941) = 0.9054776113547558593 C2(71,941) = 1.915253845401084935 C3(71,941) = 3.716752173983904299 C4(71,941) = 7528 Sum = 4331.528660716132555 Averaged sum = 0.4327633790304858182 logp*logq = 29.18632674035668423 -------------- ************************************* p = 71; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4866616929076.793366 -------------- Searches starting with [71,947]-exponents: u = 8, v = 23 n_start has 84 digits starting right neighbors generation We generated 546 left neighbors We generated 9464 right neighbors We generated 10009 non-negative rho_i D1(71,947) = 0.6538166012523079126 D2(71,947) = 0.04697014698660517153 C1(71,947) = 0.8689382340585362165 C2(71,947) = 1.939821500760317231 C3(71,947) = 3.524969711845086468 C4(71,947) = 7576 Sum = 4471.050419143255102 Averaged sum = 0.4467030092060400741 logp*logq = 29.21342013586979048 -------------- ************************************* p = 71; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4999416962480.019816 -------------- Searches starting with [71,953]-exponents: u = 8, v = 18 n_start has 69 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(71,953) = 0.7003111370351945664 D2(71,953) = 0.07183661387921068874 C1(71,953) = 0.9057852809069807657 C2(71,953) = 1.965754999774320047 C3(71,953) = 3.718410547897152220 C4(71,953) = 7624 Sum = 4527.739350587962627 Averaged sum = 0.4523668049343553428 logp*logq = 29.24034241405946899 -------------- ************************************* p = 71; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5320070107817.446209 -------------- Searches starting with [71,967]-exponents: u = 8, v = 13 n_start has 54 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(71,967) = 0.6283622904095671254 D2(71,967) = 0.0009942862277868763672 C1(71,967) = 0.8612592427866886753 C2(71,967) = 1.898341535774708783 C3(71,967) = 3.485941234687373007 C4(71,967) = 7736 Sum = 4213.208639837168971 Averaged sum = 0.4209420161691646489 logp*logq = 29.30250759735644412 -------------- ************************************* p = 71; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5414511739142.771565 -------------- Searches starting with [71,971]-exponents: u = 8, v = 13 n_start has 54 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(71,971) = 0.9703377033095522099 D2(71,971) = 0.006287925891150849307 C1(71,971) = 1.300387117452452574 C2(71,971) = 1.904406220430518687 C3(71,971) = 6.589178847651768520 C4(71,971) = 7768 Sum = 5198.438069597545044 Averaged sum = 0.5193763682283489903 logp*logq = 29.32010382410609023 -------------- ************************************* p = 71; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5558573994145.167415 -------------- Searches starting with [71,977]-exponents: u = 8, v = 13 n_start has 54 digits starting right neighbors generation We generated 210 left neighbors We generated 9800 right neighbors We generated 10009 non-negative rho_i D1(71,977) = 0.8925072411059325898 D2(71,977) = 0.01431375532042201205 C1(71,977) = 1.317575466453146944 C2(71,977) = 1.913582575218876264 C3(71,977) = 6.755453391048439710 C4(71,977) = 7816 Sum = 3731.568309248060578 Averaged sum = 0.3728212917622200598 logp*logq = 29.34636271542230640 -------------- ************************************* p = 71; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5705551915650.732983 -------------- Searches starting with [71,983]-exponents: u = 8, v = 8 n_start has 39 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(71,983) = 0.6422210205294133350 D2(71,983) = 0.02431489022283662219 C1(71,983) = 0.8374036983304459958 C2(71,983) = 2.082778010728129951 C3(71,983) = 3.367430471760984082 C4(71,983) = 7864 Sum = 4533.136640969167631 Averaged sum = 0.4529060486531289470 logp*logq = 29.37246083700869056 -------------- ************************************* p = 71; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5906128301510.326669 -------------- Searches starting with [71,991]-exponents: u = 8, v = 8 n_start has 39 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(71,991) = 0.7846362844011999471 D2(71,991) = 0.03625638941155529592 C1(71,991) = 1.021045746056106242 C2(71,991) = 2.096236134680096130 C3(71,991) = 4.394756947686757825 C4(71,991) = 7928 Sum = 4620.626553000652250 Averaged sum = 0.4616471728445051703 logp*logq = 29.40701162294088878 -------------- ************************************* p = 71; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6060068157761.326947 -------------- Searches starting with [71,997]-exponents: u = 8, v = 8 n_start has 39 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(71,997) = 0.5685024733296029708 D2(71,997) = 0.04536952316111318138 C1(71,997) = 0.7422184718798903548 C2(71,997) = 2.106478557508060924 C3(71,997) = 2.933338249635162382 C4(71,997) = 7976 Sum = 4467.155459557429866 Averaged sum = 0.4463138634786122355 logp*logq = 29.43274216310185699 -------------- ************************************* p = 73; q = 79; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138577291.7657254423 -------------- Searches starting with [73,79]-exponents: u = 1, v = 54 n_start has 105 digits starting right neighbors generation We generated 514 left neighbors We generated 9496 right neighbors We generated 10009 non-negative rho_i D1(73,79) = 0.8508565851241501185 D2(73,79) = 0.01389059193354258925 C1(73,79) = 1.093263712483469734 C2(73,79) = 1.229910068133012946 C3(73,79) = 4.914659717922965479 C4(73,79) = 632 Sum = 4576.023317676477491 Averaged sum = 0.4571908599936534610 logp*logq = 18.74693879122269481 -------------- ************************************* p = 73; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 171287913.7307620258 -------------- Searches starting with [73,83]-exponents: u = 1, v = 33 n_start has 66 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(73,83) = 0.6802918877830499474 D2(73,83) = 0.05555114524304855682 C1(73,83) = 0.9142899939144549739 C2(73,83) = 1.394527089594449584 C3(73,83) = 3.786970274774470296 C4(73,83) = 664 Sum = 4869.786099910460499 Averaged sum = 0.4865407233400400138 logp*logq = 18.95885640465080852 -------------- ************************************* p = 73; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 231088726.0972490535 -------------- Searches starting with [73,89]-exponents: u = 1, v = 21 n_start has 43 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(73,89) = 0.8083253891717710884 D2(73,89) = 0.08325696949183865288 C1(73,89) = 1.087324785797013973 C2(73,89) = 1.560561454664468046 C3(73,89) = 4.872334090682837242 C4(73,89) = 712 Sum = 5248.250206979727422 Averaged sum = 0.5243531029053579201 logp*logq = 19.25831229039929983 -------------- ************************************* p = 73; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334320913.4106601170 -------------- Searches starting with [73,97]-exponents: u = 1, v = 15 n_start has 32 digits starting right neighbors generation We generated 61 left neighbors We generated 9949 right neighbors We generated 10009 non-negative rho_i D1(73,97) = 0.8537658846892508949 D2(73,97) = 0.05056028328822186479 C1(73,97) = 1.302297522136096210 C2(73,97) = 1.679287273023456286 C3(73,97) = 6.663587925244977671 C4(73,97) = 776 Sum = 4769.880385047590638 Averaged sum = 0.4765591352830043599 logp*logq = 19.62761190824503340 -------------- ************************************* p = 73; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 397612071.6264093415 -------------- Searches starting with [73,101]-exponents: u = 1, v = 13 n_start has 28 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(73,101) = 0.6452119647699622964 D2(73,101) = 0.1684350222574268218 C1(73,101) = 0.8656602738705420124 C2(73,101) = 1.345156031337501153 C3(73,101) = 3.528039293584838285 C4(73,101) = 808 Sum = 5014.721268239144898 Averaged sum = 0.5010212077369512336 logp*logq = 19.80098739351922405 -------------- ************************************* p = 73; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 432510319.7364985084 -------------- Searches starting with [73,103]-exponents: u = 1, v = 12 n_start has 27 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(73,103) = 0.8224473447969965569 D2(73,103) = 0.1078208803513236870 C1(73,103) = 1.054365679627158397 C2(73,103) = 1.815621119841877269 C3(73,103) = 4.643979562745181687 C4(73,103) = 824 Sum = 4621.070379797136665 Averaged sum = 0.4616915156156595729 logp*logq = 19.88511674471397134 -------------- ************************************* p = 73; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 509317722.8445428717 -------------- Searches starting with [73,107]-exponents: u = 1, v = 11 n_start has 25 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(73,107) = 0.8545844082918725523 D2(73,107) = 0.1351292314845894072 C1(73,107) = 1.119368293480271749 C2(73,107) = 1.891543412009596590 C3(73,107) = 5.105105249439253342 C4(73,107) = 856 Sum = 5100.659004594693062 Averaged sum = 0.5096072539309314679 logp*logq = 20.04858258968751784 -------------- ************************************* p = 73; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 551436810.7448818852 -------------- Searches starting with [73,109]-exponents: u = 1, v = 10 n_start has 23 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(73,109) = 0.7475077815168627050 D2(73,109) = 0.005739543716676334313 C1(73,109) = 0.9761155709896340299 C2(73,109) = 1.814686857684061120 C3(73,109) = 4.143781133000315011 C4(73,109) = 872 Sum = 4934.251961055766133 Averaged sum = 0.4929815127441069171 logp*logq = 20.12803781302154012 -------------- ************************************* p = 73; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 643650026.1929143819 -------------- Searches starting with [73,113]-exponents: u = 1, v = 9 n_start has 21 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(73,113) = 0.8001027657255627770 D2(73,113) = 0.1370019537741312407 C1(73,113) = 1.043927385383742862 C2(73,113) = 1.687168085426774766 C3(73,113) = 4.573914467819127027 C4(73,113) = 904 Sum = 5020.118714372151165 Averaged sum = 0.5015604670168999066 logp*logq = 20.28266569876426047 -------------- ************************************* p = 73; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1062391376.639308268 -------------- Searches starting with [73,127]-exponents: u = 1, v = 7 n_start has 17 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(73,127) = 1.115854698630785322 D2(73,127) = 0.07265715363616359683 C1(73,127) = 1.572947467719644388 C2(73,127) = 1.741288020338734592 C3(73,127) = 9.883146927365049005 C4(73,127) = 1016 Sum = 5419.950127039019125 Averaged sum = 0.5415076558136696098 logp*logq = 20.78378821978538057 -------------- ************************************* p = 73; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1213574996.203317833 -------------- Searches starting with [73,131]-exponents: u = 1, v = 7 n_start has 17 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(73,131) = 1.056163611027548825 D2(73,131) = 0.05017885331166367673 C1(73,131) = 1.534039141583283843 C2(73,131) = 1.567356571977934874 C3(73,131) = 9.338682012301167836 C4(73,131) = 1048 Sum = 4542.691757147062666 Averaged sum = 0.4538607010837309088 logp*logq = 20.91683638278974502 -------------- ************************************* p = 73; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1470662201.464318326 -------------- Searches starting with [73,137]-exponents: u = 8, v = 6 n_start has 28 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(73,137) = 0.6684019277939105836 D2(73,137) = 0.03288882472431650330 C1(73,137) = 0.8869426867887819437 C2(73,137) = 1.782464375941229219 C3(73,137) = 3.639105284356068032 C4(73,137) = 1096 Sum = 4752.503019933079632 Averaged sum = 0.4748229613281126618 logp*logq = 21.10897861348928081 -------------- ************************************* p = 73; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1565013478.718642901 -------------- Searches starting with [73,139]-exponents: u = 8, v = 6 n_start has 28 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(73,139) = 1.027018031895370860 D2(73,139) = 0.02518879561861266310 C1(73,139) = 1.504053744545970524 C2(73,139) = 1.777806331508164332 C3(73,139) = 8.939633412964956040 C4(73,139) = 1112 Sum = 4232.217604974283165 Averaged sum = 0.4228412034143553966 logp*logq = 21.17116027350121129 -------------- ************************************* p = 73; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2108470565.951169491 -------------- Searches starting with [73,149]-exponents: u = 519, v = 6 n_start has 981 digits --- performed 5000 steps in the continued fraction search [73,149]-exponents: u = 61, v = 389 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,149) = 0.6315804725799103796 D2(73,149) = 0.4289134720730945958 C1(73,149) = 0.7787084381101528957 C2(73,149) = 1.349973446853225933 C3(73,149) = 3.108393891574769859 C4(73,149) = 1192 Sum = 6022.971098191963858 Averaged sum = 0.6023573455537517609 logp*logq = 21.46922867134331084 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,149) = 0.6315804725799103796 D2(73,149) = 0.4289134720730945958 C1(73,149) = 0.7787084381101528957 C2(73,149) = 1.349973446853225933 C3(73,149) = 3.108393891574769859 C4(73,149) = 1192 Sum = 6022.971098191963858 Averaged sum = 0.6023573455537517609 logp*logq = 21.46922867134331084 -------------- ************************************* p = 73; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2232606658.072204975 -------------- Searches starting with [73,151]-exponents: u = 7, v = 59 n_start has 142 digits starting right neighbors generation We generated 1220 left neighbors We generated 8790 right neighbors We generated 10009 non-negative rho_i D1(73,151) = 0.6790435495657723498 D2(73,151) = 0.01302652413620971635 C1(73,151) = 1.091469747817369567 C2(73,151) = 1.245884780911701374 C3(73,151) = 4.901835852685579765 C4(73,151) = 1208 Sum = 4203.559929692621799 Averaged sum = 0.4199780127577801778 logp*logq = 21.52643564474605128 -------------- ************************************* p = 73; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2638872428.165558026 -------------- Searches starting with [73,157]-exponents: u = 7, v = 11 n_start has 38 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(73,157) = 0.9232113206478166750 D2(73,157) = 0.1230961462537217983 C1(73,157) = 1.307762808201604446 C2(73,157) = 1.769258370255007658 C3(73,157) = 6.716839127003967874 C4(73,157) = 1256 Sum = 4485.226685970565770 Averaged sum = 0.4481193611720017754 logp*logq = 21.69361755232359862 -------------- ************************************* p = 73; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3099568173.621910521 -------------- Searches starting with [73,163]-exponents: u = 13, v = 5 n_start has 36 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(73,163) = 0.9017981346905824050 D2(73,163) = 0.08420186403767797802 C1(73,163) = 1.347885055639853909 C2(73,163) = 1.762248637599058590 C3(73,163) = 7.121023529301911806 C4(73,163) = 1304 Sum = 4361.604345789207082 Averaged sum = 0.4357682431600766393 logp*logq = 21.85452863990288662 -------------- ************************************* p = 73; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3439338083.474703733 -------------- Searches starting with [73,167]-exponents: u = 31, v = 5 n_start has 69 digits starting right neighbors generation We generated 547 left neighbors We generated 9463 right neighbors We generated 10009 non-negative rho_i D1(73,167) = 0.6667205191218847193 D2(73,167) = 0.008686871739754679674 C1(73,167) = 0.8564447902591969976 C2(73,167) = 1.691874023384689678 C3(73,167) = 3.481004502616247780 C4(73,167) = 1336 Sum = 4570.264775764206572 Averaged sum = 0.4566155236051759988 logp*logq = 21.95854487222251486 -------------- ************************************* p = 73; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4001713873.214688948 -------------- Searches starting with [73,173]-exponents: u = 6, v = 179 n_start has 412 digits --- performed 5000 steps in the continued fraction search [73,173]-exponents: u = 101, v = 75 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,173) = 0.6800651158520119853 D2(73,173) = 0.1793521922039770799 C1(73,173) = 0.8644835303797872953 C2(73,173) = 1.288042957355121570 C3(73,173) = 3.521998111133206223 C4(73,173) = 1384 Sum = 5493.112757973142486 Averaged sum = 0.5493662124185561042 logp*logq = 22.10998857460364209 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,173) = 0.6800651158520119853 D2(73,173) = 0.1793521922039770799 C1(73,173) = 0.8644835303797872953 C2(73,173) = 1.288042957355121570 C3(73,173) = 3.521998111133206223 C4(73,173) = 1384 Sum = 5493.112757973142486 Averaged sum = 0.5493662124185561042 logp*logq = 22.10998857460364209 -------------- ************************************* p = 73; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4632064053.274460576 -------------- Searches starting with [73,179]-exponents: u = 6, v = 19 n_start has 54 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(73,179) = 0.6257806353691346438 D2(73,179) = 0.09160904054025785077 C1(73,179) = 0.8121454785901385510 C2(73,179) = 1.711000816097503815 C3(73,179) = 3.263511159031739786 C4(73,179) = 1432 Sum = 4864.015641416029708 Averaged sum = 0.4859641963648745836 logp*logq = 22.25626840554862225 -------------- ************************************* p = 73; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4858233189.839189783 -------------- Searches starting with [73,181]-exponents: u = 6, v = 14 n_start has 43 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(73,181) = 0.6723976261460695669 D2(73,181) = 0.01581157977377139428 C1(73,181) = 0.9087586942790696149 C2(73,181) = 1.638107916487075761 C3(73,181) = 3.756585935273530793 C4(73,181) = 1448 Sum = 4708.480361652250001 Averaged sum = 0.4704246539766460187 logp*logq = 22.30394066757634510 -------------- ************************************* p = 73; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6119009762.435840672 -------------- Searches starting with [73,191]-exponents: u = 11, v = 4 n_start has 30 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(73,191) = 0.8182710385053247539 D2(73,191) = 0.09482712576065671757 C1(73,191) = 1.097842791588132951 C2(73,191) = 1.895442837845280503 C3(73,191) = 4.947544833696866754 C4(73,191) = 1528 Sum = 5189.774657040635656 Averaged sum = 0.5185108059786827511 logp*logq = 22.53466611685548811 -------------- ************************************* p = 73; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6398688003.386896111 -------------- Searches starting with [73,193]-exponents: u = 11, v = 4 n_start has 30 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(73,193) = 0.6485046150225168843 D2(73,193) = 0.06434192913050025959 C1(73,193) = 0.8573796984193520984 C2(73,193) = 1.867280100918942123 C3(73,193) = 3.485747447346432260 C4(73,193) = 1544 Sum = 4823.401074917973730 Averaged sum = 0.4819063917392320641 logp*logq = 22.57935880682597620 -------------- ************************************* p = 73; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6987378712.353676138 -------------- Searches starting with [73,197]-exponents: u = 16, v = 4 n_start has 39 digits starting right neighbors generation We generated 157 left neighbors We generated 9853 right neighbors We generated 10009 non-negative rho_i D1(73,197) = 0.7934503227644772128 D2(73,197) = 0.009862569833657070105 C1(73,197) = 1.210236317635447502 C2(73,197) = 1.817372911833696809 C3(73,197) = 5.827456908713159435 C4(73,197) = 1576 Sum = 4586.055687335736587 Averaged sum = 0.4581931948582012775 logp*logq = 22.66737131747428637 -------------- ************************************* p = 73; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7296857844.044688737 -------------- Searches starting with [73,199]-exponents: u = 16, v = 4 n_start has 40 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(73,199) = 0.7797743689511897507 D2(73,199) = 0.1322258581534595016 C1(73,199) = 1.029158402672060151 C2(73,199) = 1.813588700099464688 C3(73,199) = 4.476582589920490496 C4(73,199) = 1592 Sum = 4841.840239999144891 Averaged sum = 0.4837486502147212399 logp*logq = 22.71070966011552810 -------------- ************************************* p = 73; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9380794111.532705721 -------------- Searches starting with [73,211]-exponents: u = 116, v = 4 n_start has 226 digits starting right neighbors generation We generated 4977 left neighbors We generated 5033 right neighbors We generated 10009 non-negative rho_i D1(73,211) = 0.6667668765485784764 D2(73,211) = 0.01330188866161794135 C1(73,211) = 0.8692530234482198891 C2(73,211) = 1.379201089076556232 C3(73,211) = 3.546547992813288871 C4(73,211) = 1688 Sum = 5108.159110032238216 Averaged sum = 0.5103565900721588786 logp*logq = 22.96193025645919591 -------------- ************************************* p = 73; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11893420402.15294801 -------------- Searches starting with [73,223]-exponents: u = 5, v = 23 n_start has 64 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(73,223) = 1.115310160245417257 D2(73,223) = 0.04936808561937319179 C1(73,223) = 1.474533242103900677 C2(73,223) = 1.701634644751559227 C3(73,223) = 8.563432524881867948 C4(73,223) = 1784 Sum = 5236.740886670091575 Averaged sum = 0.5232032057818055325 logp*logq = 23.19925117677213721 -------------- ************************************* p = 73; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12836108593.88183178 -------------- Searches starting with [73,227]-exponents: u = 5, v = 15 n_start has 45 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(73,227) = 0.6328399290099425203 D2(73,227) = 0.02585675027862817206 C1(73,227) = 0.8289186468987122892 C2(73,227) = 1.783960948592278391 C3(73,227) = 3.344215032557717633 C4(73,227) = 1816 Sum = 4674.186427163536876 Averaged sum = 0.4669983442065677766 logp*logq = 23.27552802026121360 -------------- ************************************* p = 73; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13328412486.04684266 -------------- Searches starting with [73,229]-exponents: u = 5, v = 15 n_start has 45 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(73,229) = 0.9871494413171153509 D2(73,229) = 0.05740832188925158232 C1(73,229) = 1.475444709691360709 C2(73,229) = 1.817061510889028498 C3(73,229) = 8.574807651067094588 C4(73,229) = 1832 Sum = 3494.861038162646183 Averaged sum = 0.3491718491520277933 logp*logq = 23.31316387072503920 -------------- ************************************* p = 73; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14356367330.69683939 -------------- Searches starting with [73,233]-exponents: u = 5, v = 11 n_start has 36 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(73,233) = 0.8006811996259362110 D2(73,233) = 0.1278646163271085654 C1(73,233) = 1.031894537056288322 C2(73,233) = 1.890574818390043130 C3(73,233) = 4.494456865459818240 C4(73,233) = 1864 Sum = 4668.564793863884966 Averaged sum = 0.4664366863686567055 logp*logq = 23.38745939716388585 -------------- ************************************* p = 73; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16011046872.64374564 -------------- Searches starting with [73,239]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(73,239) = 0.8977798947226380315 D2(73,239) = 0.1238256388820151153 C1(73,239) = 1.156375133851325204 C2(73,239) = 1.808710150291295427 C3(73,239) = 5.387802498478962939 C4(73,239) = 1912 Sum = 4577.926919525306555 Averaged sum = 0.4573810490084230747 logp*logq = 23.49654475048960234 -------------- ************************************* p = 73; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16593863347.11780451 -------------- Searches starting with [73,241]-exponents: u = 5, v = 7 n_start has 26 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(73,241) = 0.7621075017855579590 D2(73,241) = 0.09623623441804196472 C1(73,241) = 0.9923697059721590751 C2(73,241) = 1.656987190612273038 C3(73,241) = 4.243044737299269563 C4(73,241) = 1928 Sum = 4809.562354077803103 Averaged sum = 0.4805237640201621643 logp*logq = 23.53229878607672502 -------------- ************************************* p = 73; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19756170884.09962068 -------------- Searches starting with [73,251]-exponents: u = 9, v = 3 n_start has 24 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(73,251) = 0.7947910865193923895 D2(73,251) = 0.02339643266700946995 C1(73,251) = 1.055341668938324878 C2(73,251) = 2.016840739837480050 C3(73,251) = 4.650585324169940790 C4(73,251) = 2008 Sum = 4305.264148443673271 Averaged sum = 0.4301392894838318784 logp*logq = 23.70673172931908872 -------------- ************************************* p = 73; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21863531951.80745188 -------------- Searches starting with [73,257]-exponents: u = 9, v = 3 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(73,257) = 0.8439191623680554782 D2(73,257) = 0.08228265199683128353 C1(73,257) = 1.112587207408946951 C2(73,257) = 1.667241686630924150 C3(73,257) = 5.054935721009131326 C4(73,257) = 2056 Sum = 4667.984837027005346 Averaged sum = 0.4663787428341497998 logp*logq = 23.80808587808944694 -------------- ************************************* p = 73; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24139150824.63939227 -------------- Searches starting with [73,263]-exponents: u = 9, v = 3 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(73,263) = 0.7602999469574373542 D2(73,263) = 0.1196409910946501526 C1(73,263) = 1.000746250066685970 C2(73,263) = 1.361155416724816253 C3(73,263) = 4.295124993172318937 C4(73,263) = 2104 Sum = 4483.081942183475832 Averaged sum = 0.4479050796466655841 logp*logq = 23.90710087489016594 -------------- ************************************* p = 73; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26592159645.38108186 -------------- Searches starting with [73,269]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(73,269) = 0.7814521236079788763 D2(73,269) = 0.07564050878827826232 C1(73,269) = 1.004883565507017319 C2(73,269) = 1.930213755006537589 C3(73,269) = 4.321083658538941459 C4(73,269) = 2152 Sum = 4601.698867258115274 Averaged sum = 0.4597561062302043434 logp*logq = 24.00388225911305095 -------------- ************************************* p = 73; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27450866900.51221549 -------------- Searches starting with [73,271]-exponents: u = 13, v = 3 n_start has 32 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(73,271) = 0.6952249710258874853 D2(73,271) = 0.04695925885439741345 C1(73,271) = 0.9582074481076965763 C2(73,271) = 1.903216599352015588 C3(73,271) = 4.037103214282494271 C4(73,271) = 2168 Sum = 4137.759328520743770 Averaged sum = 0.4134038693696416994 logp*logq = 24.03566358547840539 -------------- ************************************* p = 73; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30155073058.29373409 -------------- Searches starting with [73,277]-exponents: u = 17, v = 3 n_start has 40 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(73,277) = 0.9786284437513789713 D2(73,277) = 0.1201563698785347156 C1(73,277) = 1.290182206870486751 C2(73,277) = 1.878648668073953832 C3(73,277) = 6.547042341084949414 C4(73,277) = 2216 Sum = 5198.269089013972619 Averaged sum = 0.5193594853645691496 logp*logq = 24.12961900660529669 -------------- ************************************* p = 73; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32068241744.21337946 -------------- Searches starting with [73,281]-exponents: u = 21, v = 3 n_start has 47 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(73,281) = 0.7509529407899206234 D2(73,281) = 0.04089413273314875862 C1(73,281) = 1.036618326870791193 C2(73,281) = 1.802514921135669376 C3(73,281) = 4.525483978962380768 C4(73,281) = 2248 Sum = 4144.799642151681852 Averaged sum = 0.4141072676742613499 logp*logq = 24.19113202358608451 -------------- ************************************* p = 73; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33059041675.76844357 -------------- Searches starting with [73,283]-exponents: u = 25, v = 3 n_start has 54 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(73,283) = 1.328499911766920349 D2(73,283) = 0.006737733317770886882 C1(73,283) = 1.929585250463247549 C2(73,283) = 1.769905935597633321 C3(73,283) = 16.61383928350888742 C4(73,283) = 2264 Sum = 3045.126737845939783 Averaged sum = 0.3042388588116634812 logp*logq = 24.22156094149532375 -------------- ************************************* p = 73; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38370324477.44937498 -------------- Searches starting with [73,293]-exponents: u = 45, v = 3 n_start has 92 digits starting right neighbors generation We generated 655 left neighbors We generated 9355 right neighbors We generated 10009 non-negative rho_i D1(73,293) = 0.7518039287263820252 D2(73,293) = 0.01306063126794364093 C1(73,293) = 0.9928028476144860680 C2(73,293) = 1.603486001756306376 C3(73,293) = 4.245722199615674246 C4(73,293) = 2344 Sum = 4787.435766161814884 Averaged sum = 0.4783130948308337380 logp*logq = 24.37055019770976538 -------------- ************************************* p = 73; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46877703144.40239974 -------------- Searches starting with [73,307]-exponents: u = 4, v = 227 n_start has 573 digits --- performed 5000 steps in the continued fraction search [73,307]-exponents: u = 148, v = 102 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,307) = 0.5868286457489296806 D2(73,307) = 0.1863818716044606425 C1(73,307) = 0.7364077989258563336 C2(73,307) = 1.298478638418340504 C3(73,307) = 2.922676393492181454 C4(73,307) = 2456 Sum = 5553.294685664518117 Averaged sum = 0.5553850070671585275 logp*logq = 24.57080798665488840 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,307) = 0.5868286457489296806 D2(73,307) = 0.1863818716044606425 C1(73,307) = 0.7364077989258563336 C2(73,307) = 1.298478638418340504 C3(73,307) = 2.922676393492181454 C4(73,307) = 2456 Sum = 5553.294685664518117 Averaged sum = 0.5553850070671585275 logp*logq = 24.57080798665488840 -------------- ************************************* p = 73; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49554984612.72544429 -------------- Searches starting with [73,311]-exponents: u = 4, v = 74 n_start has 192 digits starting right neighbors generation We generated 2808 left neighbors We generated 7202 right neighbors We generated 10009 non-negative rho_i D1(73,311) = 0.7472460631121422000 D2(73,311) = 0.01822857683577496531 C1(73,311) = 0.9840822313046851263 C2(73,311) = 1.424702402627852495 C3(73,311) = 4.192139746929804266 C4(73,311) = 2488 Sum = 4553.089010882255730 Averaged sum = 0.4548994915458343221 logp*logq = 24.62634869029601332 -------------- ************************************* p = 73; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50936812433.07488407 -------------- Searches starting with [73,313]-exponents: u = 4, v = 53 n_start has 140 digits starting right neighbors generation We generated 1514 left neighbors We generated 8496 right neighbors We generated 10009 non-negative rho_i D1(73,313) = 1.010500571103948380 D2(73,313) = 0.001955216200197093108 C1(73,313) = 1.351367008077918524 C2(73,313) = 1.491903550850253846 C3(73,313) = 7.157226626229543254 C4(73,313) = 2504 Sum = 5773.433754343586375 Averaged sum = 0.5768242336240969502 logp*logq = 24.65385172961000784 -------------- ************************************* p = 73; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53788981934.18107234 -------------- Searches starting with [73,317]-exponents: u = 4, v = 35 n_start has 95 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(73,317) = 0.6835321229738684976 D2(73,317) = 0.01182701348186785352 C1(73,317) = 0.9367203502101240783 C2(73,317) = 1.599003237370527034 C3(73,317) = 3.912723707885403766 C4(73,317) = 2536 Sum = 4631.580959338526389 Averaged sum = 0.4627416284682312307 logp*logq = 24.70833448637799572 -------------- ************************************* p = 73; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64747023172.35462846 -------------- Searches starting with [73,331]-exponents: u = 4, v = 17 n_start has 51 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(73,331) = 0.6727036567286979527 D2(73,331) = 0.07800039059691211233 C1(73,331) = 0.9852102388024698540 C2(73,331) = 1.836991382684817829 C3(73,331) = 4.199032351277803910 C4(73,331) = 2648 Sum = 4416.918962658970140 Averaged sum = 0.4412947310079898231 logp*logq = 24.89375356229708435 -------------- ************************************* p = 73; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69934837794.29228609 -------------- Searches starting with [73,337]-exponents: u = 4, v = 14 n_start has 43 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(73,337) = 0.9449123017068769623 D2(73,337) = 0.02842195893170918482 C1(73,337) = 1.217428054071002196 C2(73,337) = 1.881162817624132504 C3(73,337) = 5.888814464015098282 C4(73,337) = 2696 Sum = 4811.787769188131114 Averaged sum = 0.4807461054239315730 logp*logq = 24.97082975679688449 -------------- ************************************* p = 73; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79283091940.50054062 -------------- Searches starting with [73,347]-exponents: u = 4, v = 11 n_start has 36 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(73,347) = 1.023655990452541109 D2(73,347) = 0.1007851277721921531 C1(73,347) = 1.271563696451909954 C2(73,347) = 1.163009351746597309 C3(73,347) = 6.371898820275469099 C4(73,347) = 2776 Sum = 3868.815912010140561 Averaged sum = 0.3865337108612389410 logp*logq = 25.09629072646623741 -------------- ************************************* p = 73; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81262346799.14381860 -------------- Searches starting with [73,349]-exponents: u = 4, v = 8 n_start has 28 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(73,349) = 0.7188085959706085014 D2(73,349) = 0.1353699423999975488 C1(73,349) = 1.105385033400275014 C2(73,349) = 1.392152696482254444 C3(73,349) = 5.002190591207597170 C4(73,349) = 2792 Sum = 4480.122334003534693 Averaged sum = 0.4476093849538949638 logp*logq = 25.12094860721626187 -------------- ************************************* p = 73; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85334380235.29066563 -------------- Searches starting with [73,353]-exponents: u = 4, v = 8 n_start has 28 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(73,353) = 0.9818523251258017787 D2(73,353) = 0.1299227804463966454 C1(73,353) = 1.321940969680003281 C2(73,353) = 1.851149013843394433 C3(73,353) = 6.856976921907089361 C4(73,353) = 2824 Sum = 5257.319350403281088 Averaged sum = 0.5252592017587452380 logp*logq = 25.16984326106492044 -------------- ************************************* p = 73; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91733739957.98962092 -------------- Searches starting with [73,359]-exponents: u = 4, v = 8 n_start has 28 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(73,359) = 0.6843113857827196456 D2(73,359) = 0.03995848417312952857 C1(73,359) = 0.9417661368727503279 C2(73,359) = 2.035641020410948023 C3(73,359) = 3.941582862930907290 C4(73,359) = 2872 Sum = 4448.248403461847110 Averaged sum = 0.4444248579740081037 logp*logq = 25.24215608700923866 -------------- ************************************* p = 73; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100831384106.1067966 -------------- Searches starting with [73,367]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(73,367) = 0.7824679955646762068 D2(73,367) = 0.06622786065847536157 C1(73,367) = 1.257710416865416699 C2(73,367) = 1.335746222497987632 C3(73,367) = 6.244628675369963632 C4(73,367) = 2936 Sum = 4747.880210442453844 Averaged sum = 0.4743610960577933703 logp*logq = 25.33671549438324182 -------------- ************************************* p = 73; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108096700348.6462443 -------------- Searches starting with [73,373]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(73,373) = 0.8298659242668662271 D2(73,373) = 0.04512484449262821498 C1(73,373) = 1.066015409857304717 C2(73,373) = 1.950779310540067142 C3(73,373) = 4.723444300623827976 C4(73,373) = 2984 Sum = 4643.409917558308588 Averaged sum = 0.4639234606412537304 logp*logq = 25.40629203706137795 -------------- ************************************* p = 73; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115756914919.8046302 -------------- Searches starting with [73,379]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(73,379) = 0.7342442765631280148 D2(73,379) = 0.02062808539347399780 C1(73,379) = 1.104280403856979480 C2(73,379) = 1.929647688972569434 C3(73,379) = 4.994149658582325003 C4(73,379) = 3032 Sum = 4621.296365726781887 Averaged sum = 0.4617140938881788277 logp*logq = 25.47475826825628601 -------------- ************************************* p = 73; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121090359383.3487454 -------------- Searches starting with [73,383]-exponents: u = 18, v = 5 n_start has 47 digits starting right neighbors generation We generated 181 left neighbors We generated 9829 right neighbors We generated 10009 non-negative rho_i D1(73,383) = 0.9707599294583425008 D2(73,383) = 0.004788829930106150215 C1(73,383) = 1.314680640040984757 C2(73,383) = 1.761775380053065745 C3(73,383) = 6.784853921505441712 C4(73,383) = 3064 Sum = 4502.562746398108408 Averaged sum = 0.4498514083722757926 logp*logq = 25.51980287561107107 -------------- ************************************* p = 73; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129441554274.2010922 -------------- Searches starting with [73,389]-exponents: u = 25, v = 5 n_start has 60 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(73,389) = 0.6465040801653242506 D2(73,389) = 0.08717012236957002584 C1(73,389) = 0.8373186752024344470 C2(73,389) = 1.846143414478076796 C3(73,389) = 3.385378599978070416 C4(73,389) = 3112 Sum = 4674.640854218786666 Averaged sum = 0.4670437460504332766 logp*logq = 25.58649529786528827 -------------- ************************************* p = 73; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141255467007.9105627 -------------- Searches starting with [73,397]-exponents: u = 46, v = 5 n_start has 99 digits starting right neighbors generation We generated 950 left neighbors We generated 9060 right neighbors We generated 10009 non-negative rho_i D1(73,397) = 0.9845205093739127770 D2(73,397) = 0.007369906409394923063 C1(73,397) = 1.345667044244720225 C2(73,397) = 1.770470930798472697 C3(73,397) = 7.098057613905338372 C4(73,397) = 3176 Sum = 5429.064311237004553 Averaged sum = 0.5424182546944754274 logp*logq = 25.67383591070474514 -------------- ************************************* p = 73; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147463775932.5259029 -------------- Searches starting with [73,401]-exponents: u = 88, v = 5 n_start has 177 digits starting right neighbors generation We generated 2970 left neighbors We generated 7040 right neighbors We generated 10009 non-negative rho_i D1(73,401) = 0.9074549439793686506 D2(73,401) = 0.02589697344394073872 C1(73,401) = 1.197672454646930103 C2(73,401) = 1.622655873724041943 C3(73,401) = 5.721796130776038921 C4(73,401) = 3208 Sum = 5248.091827588261237 Averaged sum = 0.5243372792075393383 logp*logq = 25.71684839566675567 -------------- ************************************* p = 73; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160506610826.9193993 -------------- Searches starting with [73,409]-exponents: u = 7, v = 117 n_start has 319 digits --- performed 5000 steps in the continued fraction search [73,409]-exponents: u = 111, v = 7 --- starting right neighbors generation We generated 9895 left neighbors We generated 115 right neighbors We generated 10009 non-negative rho_i D1(73,409) = 0.8125317865248397271 D2(73,409) = 0.009834888943399303825 C1(73,409) = 1.042684199633506372 C2(73,409) = 1.520491145835848142 C3(73,409) = 4.565640576913018139 C4(73,409) = 3272 Sum = 5148.129079595559305 Averaged sum = 0.5143499929658866325 logp*logq = 25.80160096762100893 -------------- ************************************* p = 73; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 178033984436.4694654 -------------- Searches starting with [73,419]-exponents: u = 7, v = 27 n_start has 84 digits starting right neighbors generation We generated 670 left neighbors We generated 9340 right neighbors We generated 10009 non-negative rho_i D1(73,419) = 0.8237261667121292003 D2(73,419) = 0.02439265499702715639 C1(73,419) = 1.153532769135264433 C2(73,419) = 1.818861178492430004 C3(73,419) = 5.365545238131322279 C4(73,419) = 3352 Sum = 3307.664881577157927 Averaged sum = 0.3304690659983173071 logp*logq = 25.90524029281525729 -------------- ************************************* p = 73; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 181708772382.0082824 -------------- Searches starting with [73,421]-exponents: u = 7, v = 22 n_start has 71 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(73,421) = 0.6521656331464121780 D2(73,421) = 0.04028619488815265798 C1(73,421) = 0.8584162387560126345 C2(73,421) = 1.835581906831825989 C3(73,421) = 3.491013543718011868 C4(73,421) = 3368 Sum = 4680.444356842542440 Averaged sum = 0.4676235744672337337 logp*logq = 25.92567109066582926 -------------- ************************************* p = 73; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200963819479.2459401 -------------- Searches starting with [73,431]-exponents: u = 7, v = 12 n_start has 45 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(73,431) = 0.9260498735221960859 D2(73,431) = 0.1298404436281821374 C1(73,431) = 1.289229392164382148 C2(73,431) = 1.929212861414769166 C3(73,431) = 6.537963484936695852 C4(73,431) = 3448 Sum = 4149.340174883519839 Averaged sum = 0.4145609126669517274 logp*logq = 26.02639072621225999 -------------- ************************************* p = 73; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204995527719.4197218 -------------- Searches starting with [73,433]-exponents: u = 7, v = 12 n_start has 45 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(73,433) = 0.6294507975929154680 D2(73,433) = 0.1504822331432091738 C1(73,433) = 0.8169074043685574216 C2(73,433) = 1.950658404501189020 C3(73,433) = 3.286223055028127266 C4(73,433) = 3464 Sum = 4667.617933681549824 Averaged sum = 0.4663420854912128908 logp*logq = 26.04625399984401626 -------------- ************************************* p = 73; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 217463737946.4549403 -------------- Searches starting with [73,439]-exponents: u = 7, v = 7 n_start has 32 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(73,439) = 0.8221239928324614801 D2(73,439) = 0.1594927476030266171 C1(73,439) = 1.096951442915707546 C2(73,439) = 1.913131460814754469 C3(73,439) = 4.941126322125942965 C4(73,439) = 3512 Sum = 4358.761866135905239 Averaged sum = 0.4354842507878814306 logp*logq = 26.10529795149021350 -------------- ************************************* p = 73; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226093383044.3341055 -------------- Searches starting with [73,443]-exponents: u = 7, v = 7 n_start has 32 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(73,443) = 0.7843952005272680532 D2(73,443) = 0.004331254748316805188 C1(73,443) = 1.033555852657430549 C2(73,443) = 1.982297143872423772 C3(73,443) = 4.505344503860268865 C4(73,443) = 3544 Sum = 4843.798484089848973 Averaged sum = 0.4839442985402986285 logp*logq = 26.14421395018658289 -------------- ************************************* p = 73; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239527484734.9886646 -------------- Searches starting with [73,449]-exponents: u = 7, v = 7 n_start has 32 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(73,449) = 0.6645751841424231088 D2(73,449) = 0.01765159621178771393 C1(73,449) = 0.8557591259022304942 C2(73,449) = 1.998252702864946899 C3(73,449) = 3.477530115845113758 C4(73,449) = 3592 Sum = 4340.940503720477590 Averaged sum = 0.4337037170267237077 logp*logq = 26.20193400602306613 -------------- ************************************* p = 73; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 258382189011.9232054 -------------- Searches starting with [73,457]-exponents: u = 7, v = 7 n_start has 32 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(73,457) = 0.9131956424533235555 D2(73,457) = 0.03236428966749026276 C1(73,457) = 1.490981472184443779 C2(73,457) = 1.251916719679166073 C3(73,457) = 8.771047200331739343 C4(73,457) = 3656 Sum = 4695.868001682028919 Averaged sum = 0.4691645520713386870 logp*logq = 26.27770567850678267 -------------- ************************************* p = 73; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 268225944804.5965506 -------------- Searches starting with [73,461]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(73,461) = 0.9362204451181742392 D2(73,461) = 0.02729024048431737340 C1(73,461) = 1.528383435066566788 C2(73,461) = 1.233962133875780341 C3(73,461) = 9.262075819187839711 C4(73,461) = 3688 Sum = 4657.218916071578187 Averaged sum = 0.4653031188002376049 logp*logq = 26.31509553989603643 -------------- ************************************* p = 73; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 273254378153.9957721 -------------- Searches starting with [73,463]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(73,463) = 1.138222988529269881 D2(73,463) = 0.02024012161936633117 C1(73,463) = 1.495892600432701571 C2(73,463) = 2.182008331376414335 C3(73,463) = 8.834007332520033301 C4(73,463) = 3704 Sum = 4541.795328562655031 Averaged sum = 0.4537711388313173175 logp*logq = 26.33366898639618486 -------------- ************************************* p = 73; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 283527906805.1471883 -------------- Searches starting with [73,467]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(73,467) = 0.7206089500345291291 D2(73,467) = 0.04529650325862744840 C1(73,467) = 0.9849447839006636865 C2(73,467) = 1.574465829930132193 C3(73,467) = 4.197409290247945484 C4(73,467) = 3736 Sum = 4537.744040694898347 Averaged sum = 0.4533663743325905032 logp*logq = 26.37057639197210286 -------------- ************************************* p = 73; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 316133710680.8245961 -------------- Searches starting with [73,479]-exponents: u = 10, v = 2 n_start has 24 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(73,479) = 0.7871124318188877500 D2(73,479) = 0.08110556199269549343 C1(73,479) = 1.006252535323704758 C2(73,479) = 1.924031224541039908 C3(73,479) = 4.329707452799946825 C4(73,479) = 3832 Sum = 4263.921951937751207 Averaged sum = 0.4260087872852184241 logp*logq = 26.47943109610282704 -------------- ************************************* p = 73; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 339417323911.2733525 -------------- Searches starting with [73,487]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(73,487) = 0.9078620311765389985 D2(73,487) = 0.09955851343586373612 C1(73,487) = 1.214105990537215783 C2(73,487) = 1.945563236442959737 C3(73,487) = 5.860391821785485979 C4(73,487) = 3896 Sum = 4283.532767551804909 Averaged sum = 0.4279681054602662512 logp*logq = 26.55049623119956689 -------------- ************************************* p = 73; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 351541008890.7851031 -------------- Searches starting with [73,491]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(73,491) = 1.200482356303550890 D2(73,491) = 0.06435917111448470656 C1(73,491) = 1.882161534788782821 C2(73,491) = 1.109828956776651249 C3(73,491) = 15.50509118029935434 C4(73,491) = 3928 Sum = 3463.499128069185718 Averaged sum = 0.3460384781765596680 logp*logq = 26.58559220964450866 -------------- ************************************* p = 73; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 376782704525.0582448 -------------- Searches starting with [73,499]-exponents: u = 13, v = 2 n_start has 30 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(73,499) = 0.8940405523489826510 D2(73,499) = 0.05732830855893129208 C1(73,499) = 1.144512011726766352 C2(73,499) = 2.102109669907539526 C3(73,499) = 5.295514938506635287 C4(73,499) = 3992 Sum = 4344.138239520238574 Averaged sum = 0.4340232030692615220 logp*logq = 26.65493447765314888 -------------- ************************************* p = 73; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 389913136687.0026324 -------------- Searches starting with [73,503]-exponents: u = 13, v = 2 n_start has 30 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(73,503) = 0.9241797929814900490 D2(73,503) = 0.02718831828618350184 C1(73,503) = 1.323909078022948687 C2(73,503) = 2.073868682008267042 C3(73,503) = 6.876659549938749517 C4(73,503) = 4024 Sum = 3597.332397599842845 Averaged sum = 0.3594097709661147812 logp*logq = 26.68918982481930239 -------------- ************************************* p = 73; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 410263483973.6272035 -------------- Searches starting with [73,509]-exponents: u = 13, v = 2 n_start has 30 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(73,509) = 1.109105066334247147 D2(73,509) = 0.1457586463537493686 C1(73,509) = 1.436933576240767782 C2(73,509) = 1.901347685217962610 C3(73,509) = 8.107107812114645033 C4(73,509) = 4072 Sum = 4864.710231936658884 Averaged sum = 0.4860335929600018867 logp*logq = 26.74006543407575455 -------------- ************************************* p = 73; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 453400568149.2470043 -------------- Searches starting with [73,521]-exponents: u = 16, v = 2 n_start has 36 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(73,521) = 0.8666302261375755069 D2(73,521) = 0.08655813042547227141 C1(73,521) = 1.099477265639665258 C2(73,521) = 2.044458532729145750 C3(73,521) = 4.959336185715912174 C4(73,521) = 4168 Sum = 4249.855145425868777 Averaged sum = 0.4246033715082294712 logp*logq = 26.84004182810517510 -------------- ************************************* p = 73; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 460915418958.5170041 -------------- Searches starting with [73,523]-exponents: u = 16, v = 2 n_start has 36 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(73,523) = 0.6898207211317865924 D2(73,523) = 0.06722123964020598883 C1(73,523) = 0.9136437666869075065 C2(73,523) = 2.025996661803056268 C3(73,523) = 3.783407801440777530 C4(73,523) = 4184 Sum = 4495.030100513976449 Averaged sum = 0.4490988211123964880 logp*logq = 26.85648039013481706 -------------- ************************************* p = 73; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 532932260495.2283188 -------------- Searches starting with [73,541]-exponents: u = 22, v = 2 n_start has 47 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(73,541) = 0.9869078860021404763 D2(73,541) = 0.05427137971475760126 C1(73,541) = 1.451905235852731587 C2(73,541) = 1.946397841698630425 C3(73,541) = 8.285821633228746313 C4(73,541) = 4328 Sum = 2505.380961842697036 Averaged sum = 0.2503128146510837282 logp*logq = 27.00166016203218582 -------------- ************************************* p = 73; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 558757768195.3728171 -------------- Searches starting with [73,547]-exponents: u = 22, v = 2 n_start has 47 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(73,547) = 0.9268536793803920580 D2(73,547) = 0.1303352770500385205 C1(73,547) = 1.242488319997628059 C2(73,547) = 1.965467370864869282 C3(73,547) = 6.107712485450714910 C4(73,547) = 4376 Sum = 4689.420156776924193 Averaged sum = 0.4685203473650638618 logp*logq = 27.04898188558805720 -------------- ************************************* p = 73; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 603921298516.8906702 -------------- Searches starting with [73,557]-exponents: u = 25, v = 2 n_start has 53 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(73,557) = 1.146205043835480341 D2(73,557) = 0.008187532885996329327 C1(73,557) = 1.647177640807890385 C2(73,557) = 1.847209456646661130 C3(73,557) = 11.01149075356570223 C4(73,557) = 4456 Sum = 5087.987912553939865 Averaged sum = 0.5083412840997042526 logp*logq = 27.12670972592265848 -------------- ************************************* p = 73; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 632331345135.9017350 -------------- Searches starting with [73,563]-exponents: u = 28, v = 2 n_start has 58 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(73,563) = 1.068259054232406315 D2(73,563) = 0.03745971814715869205 C1(73,563) = 1.521325443175639742 C2(73,563) = 1.829636498204117157 C3(73,563) = 9.167356596833304570 C4(73,563) = 4504 Sum = 5028.104096900820654 Averaged sum = 0.5023582872315736491 logp*logq = 27.17267937398470638 -------------- ************************************* p = 73; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 661755309943.1733062 -------------- Searches starting with [73,569]-exponents: u = 34, v = 2 n_start has 69 digits starting right neighbors generation We generated 250 left neighbors We generated 9760 right neighbors We generated 10009 non-negative rho_i D1(73,569) = 0.6774376299309167559 D2(73,569) = 0.04798536746738065168 C1(73,569) = 0.9572207016962719913 C2(73,569) = 1.800818564231484651 C3(73,569) = 4.031305694839466571 C4(73,569) = 4552 Sum = 4248.708143700944264 Averaged sum = 0.4244887744730686646 logp*logq = 27.21816170211387067 -------------- ************************************* p = 73; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 671792910590.7560141 -------------- Searches starting with [73,571]-exponents: u = 34, v = 2 n_start has 69 digits starting right neighbors generation We generated 250 left neighbors We generated 9760 right neighbors We generated 10009 non-negative rho_i D1(73,571) = 0.7460353554202250737 D2(73,571) = 0.02092576002862446372 C1(73,571) = 0.9780934380858371456 C2(73,571) = 1.774478629350607022 C3(73,571) = 4.155734724135234438 C4(73,571) = 4568 Sum = 4776.505661508777593 Averaged sum = 0.4772210671904063935 logp*logq = 27.23321596121205365 -------------- ************************************* p = 73; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 702607588748.9829129 -------------- Searches starting with [73,577]-exponents: u = 40, v = 2 n_start has 81 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(73,577) = 0.6140155341849821621 D2(73,577) = 0.01116364997580301518 C1(73,577) = 0.7895735014953262079 C2(73,577) = 1.731020731405322055 C3(73,577) = 3.157971750502152322 C4(73,577) = 4616 Sum = 4468.861785171360140 Averaged sum = 0.4464843426087881047 logp*logq = 27.27806437767196126 -------------- ************************************* p = 73; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 756361615229.1891072 -------------- Searches starting with [73,587]-exponents: u = 52, v = 2 n_start has 103 digits starting right neighbors generation We generated 556 left neighbors We generated 9454 right neighbors We generated 10009 non-negative rho_i D1(73,587) = 0.7039516747604501366 D2(73,587) = 0.02588629143758761722 C1(73,587) = 0.9634220956867833182 C2(73,587) = 1.665191730957307344 C3(73,587) = 4.067880040339275724 C4(73,587) = 4696 Sum = 3596.798405809222923 Averaged sum = 0.3593564198030995028 logp*logq = 27.35178542578677753 -------------- ************************************* p = 73; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 790093865744.7106933 -------------- Searches starting with [73,593]-exponents: u = 61, v = 2 n_start has 120 digits starting right neighbors generation We generated 754 left neighbors We generated 9256 right neighbors We generated 10009 non-negative rho_i D1(73,593) = 0.6473299870617566512 D2(73,593) = 0.004661134754493783176 C1(73,593) = 0.8740227982777180314 C2(73,593) = 1.603091363915055016 C3(73,593) = 3.571270463495300908 C4(73,593) = 4744 Sum = 4660.175818215377736 Averaged sum = 0.4655985431327183271 logp*logq = 27.39541759274761831 -------------- ************************************* p = 73; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 824968055766.3063194 -------------- Searches starting with [73,599]-exponents: u = 79, v = 2 n_start has 153 digits starting right neighbors generation We generated 1240 left neighbors We generated 8770 right neighbors We generated 10009 non-negative rho_i D1(73,599) = 1.023545234949278998 D2(73,599) = 0.01619388601194369154 C1(73,599) = 1.364706179791535955 C2(73,599) = 1.550004768626521171 C3(73,599) = 7.297630092033539829 C4(73,599) = 4792 Sum = 4049.100605880837423 Averaged sum = 0.4045459692157895317 logp*logq = 27.43861050224817755 -------------- ************************************* p = 73; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 836851144020.5870250 -------------- Searches starting with [73,601]-exponents: u = 85, v = 2 n_start has 164 digits starting right neighbors generation We generated 1346 left neighbors We generated 8664 right neighbors We generated 10009 non-negative rho_i D1(73,601) = 0.6623803184866617615 D2(73,601) = 0.02536830488207705945 C1(73,601) = 0.8495790694031375227 C2(73,601) = 1.533130987710850185 C3(73,601) = 3.446370708779963506 C4(73,601) = 4808 Sum = 4373.754615211161285 Averaged sum = 0.4369821775613109486 logp*logq = 27.45291204696085303 -------------- ************************************* p = 73; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 873289414887.7794926 -------------- Searches starting with [73,607]-exponents: u = 115, v = 2 n_start has 220 digits starting right neighbors generation We generated 2407 left neighbors We generated 7603 right neighbors We generated 10009 non-negative rho_i D1(73,607) = 1.241274470528372508 D2(73,607) = 0.01444475378071068184 C1(73,607) = 1.620210607139171503 C2(73,607) = 1.451905524577174994 C3(73,607) = 10.58740111628502013 C4(73,607) = 4856 Sum = 5859.052073055193254 Averaged sum = 0.5853783667754214460 logp*logq = 27.49553285547250953 -------------- ************************************* p = 73; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 910932316960.7210660 -------------- Searches starting with [73,613]-exponents: u = 184, v = 2 n_start has 349 digits --- performed 5000 steps in the continued fraction search [73,613]-exponents: u = 100, v = 27 --- starting right neighbors generation We generated 6296 left neighbors We generated 3714 right neighbors We generated 10009 non-negative rho_i D1(73,613) = 0.6350796037829942189 D2(73,613) = 0.006539681335100950944 C1(73,613) = 0.8124405637414129383 C2(73,613) = 1.349485457301762291 C3(73,613) = 3.264913987631047916 C4(73,613) = 4904 Sum = 5035.874467852142060 Averaged sum = 0.5031346256221542672 logp*logq = 27.53773443612330679 -------------- ************************************* p = 73; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 936710364263.6838112 -------------- Searches starting with [73,617]-exponents: u = 295, v = 2 n_start has 556 digits --- performed 5000 steps in the continued fraction search [73,617]-exponents: u = 213, v = 39 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,617) = 0.6000328540254321642 D2(73,617) = 0.1006377090788438158 C1(73,617) = 0.7536969878522326470 C2(73,617) = 1.323294562772031317 C3(73,617) = 2.997203351012683900 C4(73,617) = 4936 Sum = 5382.743915500851791 Averaged sum = 0.5383282243725224313 logp*logq = 27.56563996175671940 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,617) = 0.6000328540254321642 D2(73,617) = 0.1006377090788438158 C1(73,617) = 0.7536969878522326470 C2(73,617) = 1.323294562772031317 C3(73,617) = 2.997203351012683900 C4(73,617) = 4936 Sum = 5382.743915500851791 Averaged sum = 0.5383282243725224313 logp*logq = 27.56563996175671940 -------------- ************************************* p = 73; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 949807297174.2152691 -------------- Searches starting with [73,619]-exponents: u = 421, v = 2 n_start has 791 digits --- performed 5000 steps in the continued fraction search [73,619]-exponents: u = 247, v = 106 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,619) = 0.5668023959823135508 D2(73,619) = 0.2061126614852343892 C1(73,619) = 0.7034129647718015343 C2(73,619) = 1.352885943633488968 C3(73,619) = 2.785552664453987366 C4(73,619) = 4952 Sum = 5585.455620224948638 Averaged sum = 0.5586014221647113349 logp*logq = 27.57952495588537856 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,619) = 0.5668023959823135508 D2(73,619) = 0.2061126614852343892 C1(73,619) = 0.7034129647718015343 C2(73,619) = 1.352885943633488968 C3(73,619) = 2.785552664453987366 C4(73,619) = 4952 Sum = 5585.455620224948638 Averaged sum = 0.5586014221647113349 logp*logq = 27.57952495588537856 -------------- ************************************* p = 73; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1031365025146.591656 -------------- Searches starting with [73,631]-exponents: u = 3, v = 183 n_start has 518 digits --- performed 5000 steps in the continued fraction search [73,631]-exponents: u = 132, v = 78 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,631) = 0.5562089160971665785 D2(73,631) = 0.06924491796447358707 C1(73,631) = 0.7004308513998501276 C2(73,631) = 1.315357942770617646 C3(73,631) = 2.773480876603962641 C4(73,631) = 5048 Sum = 5341.256253266796436 Averaged sum = 0.5341790432310027438 logp*logq = 27.66190430791131924 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,631) = 0.5562089160971665785 D2(73,631) = 0.06924491796447358707 C1(73,631) = 0.7004308513998501276 C2(73,631) = 1.315357942770617646 C3(73,631) = 2.773480876603962641 C4(73,631) = 5048 Sum = 5341.256253266796436 Averaged sum = 0.5341790432310027438 logp*logq = 27.66190430791131924 -------------- ************************************* p = 73; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1103342971230.456143 -------------- Searches starting with [73,641]-exponents: u = 3, v = 77 n_start has 222 digits starting right neighbors generation We generated 2419 left neighbors We generated 7591 right neighbors We generated 10009 non-negative rho_i D1(73,641) = 0.6760839997826739727 D2(73,641) = 0.01793430156915177460 C1(73,641) = 0.8821143655101647827 C2(73,641) = 1.462167853998832431 C3(73,641) = 3.613605087191511287 C4(73,641) = 5128 Sum = 4949.788780571837681 Averaged sum = 0.4945337976393083905 logp*logq = 27.72936575186544780 -------------- ************************************* p = 73; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1118189169612.514555 -------------- Searches starting with [73,643]-exponents: u = 3, v = 69 n_start has 200 digits starting right neighbors generation We generated 1987 left neighbors We generated 8023 right neighbors We generated 10009 non-negative rho_i D1(73,643) = 0.6622728007334855491 D2(73,643) = 0.01415509094920561377 C1(73,643) = 0.8686852438868001706 C2(73,643) = 1.486314194828711548 C3(73,643) = 3.543616526718419444 C4(73,643) = 5144 Sum = 4912.758117692238484 Averaged sum = 0.4908340611142210494 logp*logq = 27.74273167993715414 -------------- ************************************* p = 73; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1148340836449.720656 -------------- Searches starting with [73,647]-exponents: u = 3, v = 57 n_start has 166 digits starting right neighbors generation We generated 1355 left neighbors We generated 8655 right neighbors We generated 10009 non-negative rho_i D1(73,647) = 0.6786213545501195487 D2(73,647) = 0.01853095990729110818 C1(73,647) = 0.8988084821190589469 C2(73,647) = 1.535804387588852504 C3(73,647) = 3.702540188257411530 C4(73,647) = 5176 Sum = 4908.678241426814442 Averaged sum = 0.4904264403463697114 logp*logq = 27.76933926562319398 -------------- ************************************* p = 73; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1194732931243.460330 -------------- Searches starting with [73,653]-exponents: u = 3, v = 45 n_start has 133 digits starting right neighbors generation We generated 843 left neighbors We generated 9167 right neighbors We generated 10009 non-negative rho_i D1(73,653) = 0.7797131563088523893 D2(73,653) = 0.02366245976741225070 C1(73,653) = 1.046111163513377213 C2(73,653) = 1.599254929680256239 C3(73,653) = 4.588484690411329125 C4(73,653) = 5224 Sum = 5066.466231783251643 Averaged sum = 0.5061910512322161697 logp*logq = 27.80894378783554969 -------------- ************************************* p = 73; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1242549046882.650648 -------------- Searches starting with [73,659]-exponents: u = 3, v = 37 n_start has 110 digits starting right neighbors generation We generated 597 left neighbors We generated 9413 right neighbors We generated 10009 non-negative rho_i D1(73,659) = 1.229162949676980830 D2(73,659) = 0.01312261102580625773 C1(73,659) = 1.668189041295119221 C2(73,659) = 1.645935261818270410 C3(73,659) = 11.35366064155036740 C4(73,659) = 5272 Sum = 6444.121626915455443 Averaged sum = 0.6438327132496208855 logp*logq = 27.84818606849033713 -------------- ************************************* p = 73; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1258809401444.112864 -------------- Searches starting with [73,661]-exponents: u = 3, v = 35 n_start has 105 digits starting right neighbors generation We generated 480 left neighbors We generated 9530 right neighbors We generated 10009 non-negative rho_i D1(73,661) = 1.049763288612232926 D2(73,661) = 0.04695551892823767968 C1(73,661) = 1.429573274585004987 C2(73,661) = 1.680206817299004341 C3(73,661) = 8.020667811630382318 C4(73,661) = 5288 Sum = 5789.566220732271702 Averaged sum = 0.5784360296465452794 logp*logq = 27.86118747068528493 -------------- ************************************* p = 73; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1359827851558.423811 -------------- Searches starting with [73,673]-exponents: u = 3, v = 27 n_start has 82 digits starting right neighbors generation We generated 300 left neighbors We generated 9710 right neighbors We generated 10009 non-negative rho_i D1(73,673) = 0.5845083514891433393 D2(73,673) = 0.06268975271555021208 C1(73,673) = 0.7761260944648508227 C2(73,673) = 1.773119756001599834 C3(73,673) = 3.096725459685029758 C4(73,673) = 5384 Sum = 4649.250520045842660 Averaged sum = 0.4645069957084466640 logp*logq = 27.93837922792816483 -------------- ************************************* p = 73; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1394844767410.526686 -------------- Searches starting with [73,677]-exponents: u = 3, v = 25 n_start has 77 digits starting right neighbors generation We generated 277 left neighbors We generated 9733 right neighbors We generated 10009 non-negative rho_i D1(73,677) = 0.6151752073860649659 D2(73,677) = 0.04532467139471359196 C1(73,677) = 0.8202249007927547900 C2(73,677) = 1.787746689661570980 C3(73,677) = 3.302139127826559650 C4(73,677) = 5416 Sum = 4466.773158376195374 Averaged sum = 0.4462756677366565465 logp*logq = 27.96380424716812241 -------------- ************************************* p = 73; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1448662000167.204249 -------------- Searches starting with [73,683]-exponents: u = 3, v = 23 n_start has 71 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(73,683) = 0.7262832706324725487 D2(73,683) = 0.03979459783752982067 C1(73,683) = 0.9521963042104027385 C2(73,683) = 1.819078802242445639 C3(73,683) = 4.001914276541984745 C4(73,683) = 5464 Sum = 4480.084418986688564 Averaged sum = 0.4476055968614935122 logp*logq = 28.00166148785193938 -------------- ************************************* p = 73; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1522878994218.988513 -------------- Searches starting with [73,691]-exponents: u = 3, v = 19 n_start has 60 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(73,691) = 1.030974276512567131 D2(73,691) = 0.03746902826423131309 C1(73,691) = 1.464216915346521958 C2(73,691) = 1.859723027824931088 C3(73,691) = 8.435731811094978626 C4(73,691) = 5528 Sum = 4915.683079338109913 Averaged sum = 0.4911262942689689192 logp*logq = 28.05162373443227745 -------------- ************************************* p = 73; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1619711766010.155885 -------------- Searches starting with [73,701]-exponents: u = 3, v = 17 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(73,701) = 0.7704860747848324275 D2(73,701) = 0.02991760402100027290 C1(73,701) = 1.023743815185617601 C2(73,701) = 1.903038206427427053 C3(73,701) = 4.441420105189285085 C4(73,701) = 5608 Sum = 4503.654000315765354 Averaged sum = 0.4499604356395009845 logp*logq = 28.11326932712685259 -------------- ************************************* p = 73; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1700521210043.901969 -------------- Searches starting with [73,709]-exponents: u = 3, v = 15 n_start has 49 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(73,709) = 0.7161809403106955784 D2(73,709) = 0.1056066391164981408 C1(73,709) = 1.036319243604802073 C2(73,709) = 1.980545844220974839 C3(73,709) = 4.523513184232123572 C4(73,709) = 5672 Sum = 4423.346198724680878 Averaged sum = 0.4419368766834529801 logp*logq = 28.16195591414381035 -------------- ************************************* p = 73; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1805840706765.654558 -------------- Searches starting with [73,719]-exponents: u = 3, v = 15 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(73,719) = 0.9504030397061374989 D2(73,719) = 0.05315908515766288184 C1(73,719) = 1.391870190534681990 C2(73,719) = 1.989130616442678951 C3(73,719) = 7.592122130955639844 C4(73,719) = 5752 Sum = 2745.284644690813879 Averaged sum = 0.2742816110191641402 logp*logq = 28.22204736479943928 -------------- ************************************* p = 73; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1893639609640.994941 -------------- Searches starting with [73,727]-exponents: u = 3, v = 13 n_start has 43 digits **************************************************** Computing .... elapsed time = 12 minutes **************************************************** starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(73,727) = 1.646907348787192219 D2(73,727) = 0.1204383971306973631 C1(73,727) = 2.284614893220185663 C2(73,727) = 2.058227370559209337 C3(73,727) = 27.86298257735856818 C4(73,727) = 5816 Sum = 5943.753099434159129 Averaged sum = 0.5938408531755579108 logp*logq = 28.26952181256630079 -------------- ************************************* p = 73; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1961608785246.944676 -------------- Searches starting with [73,733]-exponents: u = 3, v = 13 n_start has 43 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(73,733) = 1.054266282590036827 D2(73,733) = 0.0004763299159448722047 C1(73,733) = 1.363650838426207145 C2(73,733) = 2.012904347685273717 C3(73,733) = 7.286422303601864826 C4(73,733) = 5864 Sum = 4970.749174013301825 Averaged sum = 0.4966279522443103032 logp*logq = 28.30478606129111331 -------------- ************************************* p = 73; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2031433518535.464507 -------------- Searches starting with [73,739]-exponents: u = 3, v = 11 n_start has 38 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(73,739) = 0.6367708816594016318 D2(73,739) = 0.03588917745217786298 C1(73,739) = 0.8315116012216848493 C2(73,739) = 2.049697536765129027 C3(73,739) = 3.356867877159904993 C4(73,739) = 5912 Sum = 4587.106007103107007 Averaged sum = 0.4582981323911586579 logp*logq = 28.33976282653005159 -------------- ************************************* p = 73; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2079031461365.033854 -------------- Searches starting with [73,743]-exponents: u = 3, v = 11 n_start has 38 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(73,743) = 0.6935096237034345574 D2(73,743) = 0.06102767827947020326 C1(73,743) = 0.8948192244869919877 C2(73,743) = 2.075749974903619627 C3(73,743) = 3.681091057608449794 C4(73,743) = 5944 Sum = 4406.401850970306164 Averaged sum = 0.4402439655280553666 logp*logq = 28.36292325762163664 -------------- ************************************* p = 73; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2176789916801.246437 -------------- Searches starting with [73,751]-exponents: u = 3, v = 11 n_start has 38 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(73,751) = 0.5760175048803666061 D2(73,751) = 0.1160631013729086385 C1(73,751) = 0.7497651902455496496 C2(73,751) = 2.132598419495288806 C3(73,751) = 2.980089673393345489 C4(73,751) = 6008 Sum = 4559.210936076564899 Averaged sum = 0.4555111335874278048 logp*logq = 28.40887239228474808 -------------- ************************************* p = 73; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2252392632830.689104 -------------- Searches starting with [73,757]-exponents: u = 3, v = 11 n_start has 38 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(73,757) = 0.9802569366811024110 D2(73,757) = 0.09866481129161915452 C1(73,757) = 1.484187400106821231 C2(73,757) = 1.246610318201192982 C3(73,757) = 8.684687016154893686 C4(73,757) = 6056 Sum = 3539.490192230938813 Averaged sum = 0.3536307515467018496 logp*logq = 28.44301415951291650 -------------- ************************************* p = 73; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2303902013040.957290 -------------- Searches starting with [73,761]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(73,761) = 0.7276348985345559071 D2(73,761) = 0.1301704601279490761 C1(73,761) = 1.101670610981140769 C2(73,761) = 1.458736230962851140 C3(73,761) = 4.975203492864757895 C4(73,761) = 6088 Sum = 4423.172916172570563 Averaged sum = 0.4419195640096483727 logp*logq = 28.46562532879572230 -------------- ************************************* p = 73; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2409627500568.531106 -------------- Searches starting with [73,769]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(73,769) = 0.7449744638790345056 D2(73,769) = 0.006706681906990604138 C1(73,769) = 0.9689493410162421090 C2(73,769) = 2.122792039236193077 C3(73,769) = 4.100758001754129399 C4(73,769) = 6152 Sum = 4601.154934976958366 Averaged sum = 0.4597017619119750590 logp*logq = 28.51049328740540584 -------------- ************************************* p = 73; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2463865392112.891120 -------------- Searches starting with [73,773]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(73,773) = 1.352796181988111431 D2(73,773) = 0.02491265023212445760 C1(73,773) = 1.926532741260140465 C2(73,773) = 2.141911294819545101 C3(73,773) = 16.54014381044126163 C4(73,773) = 6184 Sum = 4556.971608289459568 Averaged sum = 0.4552874021669956607 logp*logq = 28.53275253028324468 -------------- ************************************* p = 73; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2661105740210.861400 -------------- Searches starting with [73,787]-exponents: u = 3, v = 9 n_start has 32 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(73,787) = 0.8011710473653907816 D2(73,787) = 0.08322827658003334328 C1(73,787) = 1.041267415408807306 C2(73,787) = 1.472604947376122552 C3(73,787) = 4.556229566011445390 C4(73,787) = 6296 Sum = 4798.737276110233825 Averaged sum = 0.4794422296043794409 logp*logq = 28.60976284415484690 -------------- ************************************* p = 73; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2809242616799.130936 -------------- Searches starting with [73,797]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(73,797) = 1.348082787181438970 D2(73,797) = 0.09986891328709987302 C1(73,797) = 1.766585042528332950 C2(73,797) = 1.502061757305593617 C3(73,797) = 13.10303055883096204 C4(73,797) = 6376 Sum = 4792.861580063759834 Averaged sum = 0.4788551883368727979 logp*logq = 28.66393603155588014 -------------- ************************************* p = 73; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2995264566710.021168 -------------- Searches starting with [73,809]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(73,809) = 0.8565785868353703059 D2(73,809) = 0.08373304222438532102 C1(73,809) = 1.125745514607694062 C2(73,809) = 2.006510718976209972 C3(73,809) = 5.152741039650037751 C4(73,809) = 6472 Sum = 4845.114958042791748 Averaged sum = 0.4840758275594756467 logp*logq = 28.72805367972477878 -------------- ************************************* p = 73; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3027164268105.235080 -------------- Searches starting with [73,811]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(73,811) = 0.7087663648867037597 D2(73,811) = 0.08107219235150479484 C1(73,811) = 0.9139664102472113450 C2(73,811) = 2.004325830446503851 C3(73,811) = 3.785186027725078440 C4(73,811) = 6488 Sum = 4336.267778559168389 Averaged sum = 0.4332368646777069027 logp*logq = 28.73864741212213583 -------------- ************************************* p = 73; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3190590833997.888152 -------------- Searches starting with [73,821]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(73,821) = 0.8752194101467696596 D2(73,821) = 0.06265502257071420680 C1(73,821) = 1.185292941560858082 C2(73,821) = 1.833225800709582989 C3(73,821) = 5.619559716558538581 C4(73,821) = 6568 Sum = 4418.054924385245854 Averaged sum = 0.4414082250359921924 logp*logq = 28.79122722999462910 -------------- ************************************* p = 73; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3224072117294.324232 -------------- Searches starting with [73,823]-exponents: u = 3, v = 7 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(73,823) = 0.5862632050646259700 D2(73,823) = 0.06034340324658880326 C1(73,823) = 0.7729045283190278678 C2(73,823) = 1.831367923919807257 C3(73,823) = 3.082230061236816383 C4(73,823) = 6584 Sum = 4330.881974241380375 Averaged sum = 0.4326987685324588245 logp*logq = 28.80166630921056792 -------------- ************************************* p = 73; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3291842576413.268771 -------------- Searches starting with [73,827]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(73,827) = 0.7149706020995932641 D2(73,827) = 0.05275655045214478647 C1(73,827) = 0.9328523297456882858 C2(73,827) = 1.728578919187230674 C3(73,827) = 3.890743890559200120 C4(73,827) = 6616 Sum = 4418.942598965901608 Averaged sum = 0.4414969126751824965 logp*logq = 28.82246857755538474 -------------- ************************************* p = 73; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3326134753945.576525 -------------- Searches starting with [73,829]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(73,829) = 0.6290772741591560480 D2(73,829) = 0.05062840375317609152 C1(73,829) = 0.8173007506703963294 C2(73,829) = 1.726886607705456732 C3(73,829) = 3.288106163513492645 C4(73,829) = 6632 Sum = 4446.240119394177410 Averaged sum = 0.4442242101502824868 logp*logq = 28.83283201119593201 -------------- ************************************* p = 73; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3501725578519.760283 -------------- Searches starting with [73,839]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(73,839) = 0.8526598221135996141 D2(73,839) = 0.01593598006235756195 C1(73,839) = 1.088624405531868202 C2(73,839) = 2.280389364741063111 C3(73,839) = 4.881564973921642978 C4(73,839) = 6712 Sum = 4558.857807963080908 Averaged sum = 0.4554758525290319620 logp*logq = 28.88427698536250485 -------------- ************************************* p = 73; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3759394851306.400077 -------------- Searches starting with [73,853]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(73,853) = 0.7913761703050533868 D2(73,853) = 0.03268783320450411355 C1(73,853) = 1.272029090893923569 C2(73,853) = 2.111349371282903423 C3(73,853) = 6.376219141929980300 C4(73,853) = 6824 Sum = 4599.500282999082469 Averaged sum = 0.4595364454989591836 logp*logq = 28.95527911657601859 -------------- ************************************* p = 73; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3835617205893.688624 -------------- Searches starting with [73,857]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(73,857) = 0.9630114113768386905 D2(73,857) = 0.02797693860446505846 C1(73,857) = 1.278707318519578908 C2(73,857) = 2.107608956850314205 C3(73,857) = 6.438537642425773093 C4(73,857) = 6856 Sum = 4203.925689901528827 Averaged sum = 0.4200145558898520159 logp*logq = 28.97535147805738406 -------------- ************************************* p = 73; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3874169966300.454624 -------------- Searches starting with [73,859]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(73,859) = 0.6237558987042415338 D2(73,859) = 0.02564846908725796512 C1(73,859) = 0.8348201410630986463 C2(73,859) = 2.105763997548369720 C3(73,859) = 3.373082102240369960 C4(73,859) = 6872 Sum = 4489.790909560558492 Averaged sum = 0.4485753731202476263 logp*logq = 28.98535255354423709 -------------- ************************************* p = 73; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3952166547203.387398 -------------- Searches starting with [73,863]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(73,863) = 0.8468943547079606273 D2(73,863) = 0.02104400370713962651 C1(73,863) = 1.159055809508801594 C2(73,863) = 2.102123119920318722 C3(73,863) = 5.408878237440570957 C4(73,863) = 6904 Sum = 3673.364708306398374 Averaged sum = 0.3670061652818861398 logp*logq = 29.00528503743717751 -------------- ************************************* p = 73; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4234677980297.169808 -------------- Searches starting with [73,877]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(73,877) = 0.9979007639175217938 D2(73,877) = 0.005450464216542733404 C1(73,877) = 1.281207927533777470 C2(73,877) = 2.089866650867458549 C3(73,877) = 6.462028719087477368 C4(73,877) = 7016 Sum = 4503.567163387986099 Averaged sum = 0.4499517597550190927 logp*logq = 29.07432840343132123 -------------- ************************************* p = 73; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4318169545919.635581 -------------- Searches starting with [73,881]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(73,881) = 0.7322063505379878882 D2(73,881) = 0.001135898640652205616 C1(73,881) = 1.006218621489286539 C2(73,881) = 2.086495566197335953 C3(73,881) = 4.329493605608104111 C4(73,881) = 7048 Sum = 4149.616392287692087 Averaged sum = 0.4145885095701560683 logp*logq = 29.09385271216917663 -------------- ************************************* p = 73; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4360385772519.616680 -------------- Searches starting with [73,883]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(73,883) = 0.6474052932144590665 D2(73,883) = 0.1444213413558806366 C1(73,883) = 0.8453997512806111102 C2(73,883) = 2.003761823460266589 C3(73,883) = 3.425457281909220497 C4(73,883) = 7064 Sum = 4428.975889053791705 Averaged sum = 0.4424993394998293241 logp*logq = 29.10358164931106443 -------------- ************************************* p = 73; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4445767293252.861424 -------------- Searches starting with [73,887]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(73,887) = 0.9443125856144243760 D2(73,887) = 0.1589169649784619879 C1(73,887) = 1.239222198607683758 C2(73,887) = 2.019040605747587557 C3(73,887) = 6.078728558437562088 C4(73,887) = 7096 Sum = 5118.988961090924486 Averaged sum = 0.5114386013678613734 logp*logq = 29.12297358940186929 -------------- ************************************* p = 73; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4892086280516.995814 -------------- Searches starting with [73,907]-exponents: u = 19, v = 5 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(73,907) = 0.8187162957014454586 D2(73,907) = 0.1064908747717590506 C1(73,907) = 1.077637793471632838 C2(73,907) = 2.018686303118397261 C3(73,907) = 4.804077449143817865 C4(73,907) = 7256 Sum = 4843.635219228183374 Averaged sum = 0.4839279867347570560 logp*logq = 29.21863997066192410 -------------- ************************************* p = 73; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4985325986375.208170 -------------- Searches starting with [73,911]-exponents: u = 27, v = 5 n_start has 66 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(73,911) = 1.121929478784528715 D2(73,911) = 0.08941478651096762560 C1(73,911) = 1.617697694634997756 C2(73,911) = 2.002487444635767195 C3(73,911) = 10.54872426666668938 C4(73,911) = 7288 Sum = 3236.456488805537825 Averaged sum = 0.3233546297138113523 logp*logq = 29.23751991065969892 -------------- ************************************* p = 73; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5175889701601.800492 -------------- Searches starting with [73,919]-exponents: u = 27, v = 5 n_start has 66 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(73,919) = 0.7630613225501234144 D2(73,919) = 0.05771611365658159209 C1(73,919) = 0.9906603504154885404 C2(73,919) = 1.972531581007435054 C3(73,919) = 4.232494836585627346 C4(73,919) = 7352 Sum = 4583.843633905983921 Averaged sum = 0.4579721884210194746 logp*logq = 29.27503236331775379 -------------- ************************************* p = 73; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5421894235560.673059 -------------- Searches starting with [73,929]-exponents: u = 43, v = 5 n_start has 95 digits starting right neighbors generation We generated 758 left neighbors We generated 9252 right neighbors We generated 10009 non-negative rho_i D1(73,929) = 0.8578959309134508804 D2(73,929) = 0.02181848713893201670 C1(73,929) = 1.088965774337317686 C2(73,929) = 1.938790970535507310 C3(73,929) = 4.883992532385002192 C4(73,929) = 7432 Sum = 4124.989567029783265 Averaged sum = 0.4121280414656592331 logp*logq = 29.32146636027855772 -------------- ************************************* p = 73; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5625073277628.299556 -------------- Searches starting with [73,937]-exponents: u = 59, v = 5 n_start has 125 digits starting right neighbors generation We generated 1253 left neighbors We generated 8757 right neighbors We generated 10009 non-negative rho_i D1(73,937) = 0.6156663815129544258 D2(73,937) = 0.04264383402674078079 C1(73,937) = 0.7874272240946163679 C2(73,937) = 1.850968518647581612 C3(73,937) = 3.148115894850492013 C4(73,937) = 7496 Sum = 4382.371525127047870 Averaged sum = 0.4378430937283492726 logp*logq = 29.35825509106809959 -------------- ************************************* p = 73; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5728826556493.462633 -------------- Searches starting with [73,941]-exponents: u = 75, v = 5 n_start has 155 digits starting right neighbors generation We generated 2017 left neighbors We generated 7993 right neighbors We generated 10009 non-negative rho_i D1(73,941) = 0.6601639685281791592 D2(73,941) = 0.02018561241300549792 C1(73,941) = 0.8828533426914802421 C2(73,941) = 1.829328708005666861 C3(73,941) = 3.617496293607033969 C4(73,941) = 7528 Sum = 3911.691638707036652 Averaged sum = 0.3908174281853368620 logp*logq = 29.37653183624029850 -------------- ************************************* p = 73; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5887201052720.448368 -------------- Searches starting with [73,947]-exponents: u = 115, v = 5 n_start has 230 digits starting right neighbors generation We generated 4478 left neighbors We generated 5532 right neighbors We generated 10009 non-negative rho_i D1(73,947) = 0.6036209415833450697 D2(73,947) = 0.01160625609769258373 C1(73,947) = 0.7863067092967635962 C2(73,947) = 1.744450198977111992 C3(73,947) = 3.142982640073133998 C4(73,947) = 7576 Sum = 4711.356862495504560 Averaged sum = 0.4707120454086826416 logp*logq = 29.40380179737391696 -------------- ************************************* p = 73; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6048911933081.061460 -------------- Searches starting with [73,953]-exponents: u = 267, v = 5 n_start has 513 digits --- performed 5000 steps in the continued fraction search [73,953]-exponents: u = 69, v = 109 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,953) = 0.8236662392712614547 D2(73,953) = 0.2144349004702445169 C1(73,953) = 1.038366263642167246 C2(73,953) = 1.522557537306303774 C3(73,953) = 4.537019108724031972 C4(73,953) = 7624 Sum = 5204.151672500322628 Averaged sum = 0.5204672139714294058 logp*logq = 29.43089952602538285 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(73,953) = 0.8236662392712614547 D2(73,953) = 0.2144349004702445169 C1(73,953) = 1.038366263642167246 C2(73,953) = 1.522557537306303774 C3(73,953) = 4.537019108724031972 C4(73,953) = 7624 Sum = 5204.151672500322628 Averaged sum = 0.5204672139714294058 logp*logq = 29.43089952602538285 -------------- ************************************* p = 73; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6439485973924.706086 -------------- Searches starting with [73,967]-exponents: u = 8, v = 88 n_start has 278 digits --- performed 5000 steps in the continued fraction search [73,967]-exponents: u = 63, v = 5 --- starting right neighbors generation We generated 6653 left neighbors We generated 3357 right neighbors We generated 10009 non-negative rho_i D1(73,967) = 0.6060686004803874546 D2(73,967) = 0.002081147203847044729 C1(73,967) = 0.8555305798316719483 C2(73,967) = 1.723947164440559548 C3(73,967) = 3.476372801834790000 C4(73,967) = 7736 Sum = 4791.033782669616946 Averaged sum = 0.4786725729513055196 logp*logq = 29.49346983514565229 -------------- ************************************* p = 73; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6554551011231.254921 -------------- Searches starting with [73,971]-exponents: u = 8, v = 63 n_start has 204 digits starting right neighbors generation We generated 3556 left neighbors We generated 6454 right neighbors We generated 10009 non-negative rho_i D1(73,971) = 1.037504426539135881 D2(73,971) = 0.004734395531752998522 C1(73,971) = 1.364910053305532539 C2(73,971) = 1.799808902867118109 C3(73,971) = 7.299797227000448336 C4(73,971) = 7768 Sum = 4457.425256036468712 Averaged sum = 0.4453417180573952155 logp*logq = 29.51118073518138473 -------------- ************************************* p = 73; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6730097546214.281025 -------------- Searches starting with [73,977]-exponents: u = 8, v = 43 n_start has 144 digits starting right neighbors generation We generated 1672 left neighbors We generated 8338 right neighbors We generated 10009 non-negative rho_i D1(73,977) = 0.8314623024929375200 D2(73,977) = 0.03865894927290593736 C1(73,977) = 1.117460077449852558 C2(73,977) = 1.834711539232807642 C3(73,977) = 5.090937276091856127 C4(73,977) = 7816 Sum = 3897.788972666185662 Averaged sum = 0.3894284116960920833 logp*logq = 29.53761075371703589 -------------- ************************************* p = 73; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6909227512717.726171 -------------- Searches starting with [73,983]-exponents: u = 8, v = 33 n_start has 114 digits starting right neighbors generation We generated 1088 left neighbors We generated 8922 right neighbors We generated 10009 non-negative rho_i D1(73,983) = 1.005930197233596391 D2(73,983) = 0.01818884775972402318 C1(73,983) = 1.374930123004493448 C2(73,983) = 1.916647814701269555 C3(73,983) = 7.407105470729121034 C4(73,983) = 7864 Sum = 3724.696373122100752 Averaged sum = 0.3721347160677491010 logp*logq = 29.56387895479861931 -------------- ************************************* p = 73; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7153729217914.292275 -------------- Searches starting with [73,991]-exponents: u = 8, v = 23 n_start has 84 digits starting right neighbors generation We generated 546 left neighbors We generated 9464 right neighbors We generated 10009 non-negative rho_i D1(73,991) = 0.6958662977672943088 D2(73,991) = 0.04794766069071310476 C1(73,991) = 0.9258458632597412499 C2(73,991) = 1.947775285276034083 C3(73,991) = 3.851243935880137772 C4(73,991) = 7928 Sum = 4369.458962510534115 Averaged sum = 0.4365529985523562908 logp*logq = 29.59865490560372362 -------------- ************************************* p = 73; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7341418013595.729075 -------------- Searches starting with [73,997]-exponents: u = 8, v = 18 n_start has 69 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(73,997) = 0.7084717818573770399 D2(73,997) = 0.07171308030031961192 C1(73,997) = 0.9310998182193419591 C2(73,997) = 1.972559836517741184 C3(73,997) = 3.880826024512824156 C4(73,997) = 7976 Sum = 4466.186176949998790 Averaged sum = 0.4462170223748625027 logp*logq = 29.62455312975939224 -------------- ************************************* p = 79; q = 83; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242835205.3911585687 -------------- Searches starting with [79,83]-exponents: u = 1, v = 88 n_start has 171 digits starting right neighbors generation We generated 1244 left neighbors We generated 8766 right neighbors We generated 10009 non-negative rho_i D1(79,83) = 0.8434256439398442213 D2(79,83) = 0.009843898278028267101 C1(79,83) = 1.083189257826323556 C2(79,83) = 1.129587637297139839 C3(79,83) = 4.939729537380218907 C4(79,83) = 664 Sum = 4763.325986726945820 Averaged sum = 0.4759042848163598581 logp*logq = 19.30789360413091279 -------------- ************************************* p = 79; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 329426079.8028531193 -------------- Searches starting with [79,89]-exponents: u = 1, v = 36 n_start has 73 digits starting right neighbors generation We generated 244 left neighbors We generated 9766 right neighbors We generated 10009 non-negative rho_i D1(79,89) = 0.9728868020829033169 D2(79,89) = 0.007585212407922064626 C1(79,89) = 1.276364026969365713 C2(79,89) = 1.338358142330278906 C3(79,89) = 6.567762260899804659 C4(79,89) = 712 Sum = 5231.235296583906877 Averaged sum = 0.5226531418307430189 logp*logq = 19.61286254623146590 -------------- ************************************* p = 79; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 479838938.4578309671 -------------- Searches starting with [79,97]-exponents: u = 1, v = 21 n_start has 44 digits starting right neighbors generation We generated 104 left neighbors We generated 9906 right neighbors We generated 10009 non-negative rho_i D1(79,97) = 0.9578820079818288763 D2(79,97) = 0.008437581759107971233 C1(79,97) = 1.237598638811061215 C2(79,97) = 1.517002606699460994 C3(79,97) = 6.202846581478949405 C4(79,97) = 776 Sum = 4649.918202511188732 Averaged sum = 0.4645737039175930394 logp*logq = 19.98896106067891260 -------------- ************************************* p = 79; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 572502941.3956874746 -------------- Searches starting with [79,101]-exponents: u = 1, v = 17 n_start has 36 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(79,101) = 0.6695734974223215251 D2(79,101) = 0.004166841425421236268 C1(79,101) = 0.8868998360247170809 C2(79,101) = 1.584046184455003445 C3(79,101) = 3.698232506163381480 C4(79,101) = 808 Sum = 5004.821273814124752 Averaged sum = 0.5000320984927689831 logp*logq = 20.16552843118853141 -------------- ************************************* p = 79; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 623716579.9690398581 -------------- Searches starting with [79,103]-exponents: u = 1, v = 16 n_start has 35 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(79,103) = 0.8284063249997700363 D2(79,103) = 0.01839184259921623502 C1(79,103) = 1.172000906490428978 C2(79,103) = 1.627487878908799987 C3(79,103) = 5.630934940462043681 C4(79,103) = 824 Sum = 4250.839731341878239 Averaged sum = 0.4247017415667777239 logp*logq = 20.25120662438663336 -------------- ************************************* p = 79; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 736693078.0232687638 -------------- Searches starting with [79,107]-exponents: u = 1, v = 14 n_start has 31 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(79,107) = 0.9570621026046573591 D2(79,107) = 0.1544354193843876066 C1(79,107) = 1.281966741553071852 C2(79,107) = 1.798638154095591435 C3(79,107) = 6.622249681052396379 C4(79,107) = 856 Sum = 5211.258838023569977 Averaged sum = 0.5206572922393415903 logp*logq = 20.41768191568555101 -------------- ************************************* p = 79; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 798783041.3971334314 -------------- Searches starting with [79,109]-exponents: u = 1, v = 13 n_start has 29 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(79,109) = 0.8486541947903069177 D2(79,109) = 0.1031957030113575956 C1(79,109) = 1.119241731221576904 C2(79,109) = 1.783031152818396462 C3(79,109) = 5.209453098881088500 C4(79,109) = 872 Sum = 5080.563206975963120 Averaged sum = 0.5075994811645482185 logp*logq = 20.49859992918184121 -------------- ************************************* p = 79; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 935016329.9161349742 -------------- Searches starting with [79,113]-exponents: u = 1, v = 12 n_start has 27 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(79,113) = 0.7669100957382240512 D2(79,113) = 0.1496966121222463289 C1(79,113) = 1.036843033282247128 C2(79,113) = 1.358301297407228920 C3(79,113) = 4.613407503811839255 C4(79,113) = 904 Sum = 5106.788184361512067 Averaged sum = 0.5102196207774515004 logp*logq = 20.65607455225139363 -------------- ************************************* p = 79; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1557616899.822254028 -------------- Searches starting with [79,127]-exponents: u = 1, v = 9 n_start has 21 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(79,127) = 0.8656721849240600612 D2(79,127) = 0.07111704362926549325 C1(79,127) = 1.190347159374863587 C2(79,127) = 1.964256301303493252 C3(79,127) = 5.785353987265786932 C4(79,127) = 1016 Sum = 5184.506630811928022 Averaged sum = 0.5179844770518461407 logp*logq = 21.16642286187496942 -------------- ************************************* p = 79; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1783637176.848067115 -------------- Searches starting with [79,131]-exponents: u = 1, v = 8 n_start has 19 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(79,131) = 0.6555530658799307673 D2(79,131) = 0.09733319035354761793 C1(79,131) = 0.8628486888101466239 C2(79,131) = 1.715961830358388146 C3(79,131) = 3.569367114708746542 C4(79,131) = 1048 Sum = 4723.885047591789104 Averaged sum = 0.4719637373955229397 logp*logq = 21.30192047421424332 -------------- ************************************* p = 79; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2169147544.187856979 -------------- Searches starting with [79,137]-exponents: u = 1, v = 7 n_start has 17 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(79,137) = 0.9096744267057237548 D2(79,137) = 0.06123558355307849976 C1(79,137) = 1.520189739731609687 C2(79,137) = 1.151071279918285025 C3(79,137) = 9.409572362471123837 C4(79,137) = 1096 Sum = 5043.174654058810890 Averaged sum = 0.5038639878168459276 logp*logq = 21.49760009053840857 -------------- ************************************* p = 79; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2310954616.874500616 -------------- Searches starting with [79,139]-exponents: u = 1, v = 7 n_start has 17 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(79,139) = 1.045528278579345037 D2(79,139) = 0.06600948696164206263 C1(79,139) = 1.361776876869658663 C2(79,139) = 1.748959049914435736 C3(79,139) = 7.449344887037239918 C4(79,139) = 1112 Sum = 4924.266208544647643 Averaged sum = 0.4919838354026024221 logp*logq = 21.56092653017239812 -------------- ************************************* p = 79; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3130574717.236476762 -------------- Searches starting with [79,149]-exponents: u = 8, v = 6 n_start has 29 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(79,149) = 0.7443957547062970348 D2(79,149) = 0.03010052766244592799 C1(79,149) = 1.001912925788947714 C2(79,149) = 1.792887714437732602 C3(79,149) = 4.381790899812650383 C4(79,149) = 1192 Sum = 5080.888135753016740 Averaged sum = 0.5076319448249592106 logp*logq = 21.86448244037367175 -------------- ************************************* p = 79; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3318380196.503530788 -------------- Searches starting with [79,151]-exponents: u = 8, v = 6 n_start has 29 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(79,151) = 0.8730653098144274969 D2(79,151) = 0.02308297930777988441 C1(79,151) = 1.247980540537870255 C2(79,151) = 1.788661899208503386 C3(79,151) = 6.298539905653197621 C4(79,151) = 1208 Sum = 4462.109962333082528 Averaged sum = 0.4458097674426099039 logp*logq = 21.92274260819705916 -------------- ************************************* p = 79; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3934314019.735717323 -------------- Searches starting with [79,157]-exponents: u = 15, v = 6 n_start has 42 digits starting right neighbors generation We generated 172 left neighbors We generated 9838 right neighbors We generated 10009 non-negative rho_i D1(79,157) = 0.7535587128365750535 D2(79,157) = 0.002858381890330551751 C1(79,157) = 1.006428926588133390 C2(79,157) = 1.603963509092712822 C3(79,157) = 4.411068641115999895 C4(79,157) = 1256 Sum = 4642.853451778493764 Averaged sum = 0.4638678641001592330 logp*logq = 22.09300237572455023 -------------- ************************************* p = 79; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4634878749.774317156 -------------- Searches starting with [79,163]-exponents: u = 211, v = 6 n_start has 414 digits --- performed 5000 steps in the continued fraction search [79,163]-exponents: u = 73, v = 99 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(79,163) = 0.6112853254241029155 D2(79,163) = 0.2080212768089748428 C1(79,163) = 0.7797172462558226802 C2(79,163) = 1.303375754288003740 C3(79,163) = 3.157560163424508288 C4(79,163) = 1304 Sum = 5483.573102720533131 Averaged sum = 0.5484121514872020333 logp*logq = 22.25687587591856718 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(79,163) = 0.6112853254241029155 D2(79,163) = 0.2080212768089748428 C1(79,163) = 0.7797172462558226802 C2(79,163) = 1.303375754288003740 C3(79,163) = 3.157560163424508288 C4(79,163) = 1304 Sum = 5483.573102720533131 Averaged sum = 0.5484121514872020333 logp*logq = 22.25687587591856718 -------------- ************************************* p = 79; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5152805046.690549663 -------------- Searches starting with [79,167]-exponents: u = 7, v = 35 n_start has 92 digits starting right neighbors generation We generated 618 left neighbors We generated 9392 right neighbors We generated 10009 non-negative rho_i D1(79,167) = 0.7772146658969281729 D2(79,167) = 0.02597441909882627576 C1(79,167) = 1.085849989963473156 C2(79,167) = 1.384744473895459323 C3(79,167) = 4.959149197752909585 C4(79,167) = 1336 Sum = 3743.346192706453308 Averaged sum = 0.3739980210516988019 logp*logq = 22.36280707260389465 -------------- ************************************* p = 79; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6012093678.977579477 -------------- Searches starting with [79,173]-exponents: u = 7, v = 11 n_start has 38 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(79,173) = 0.7755374846959101006 D2(79,173) = 0.1296549961791994930 C1(79,173) = 1.074249221106329157 C2(79,173) = 1.791018043207957598 C3(79,173) = 4.875034953481933583 C4(79,173) = 1384 Sum = 4681.325836522707866 Averaged sum = 0.4677116431734147133 logp*logq = 22.51703889071467318 -------------- ************************************* p = 79; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6977885488.734384092 -------------- Searches starting with [79,179]-exponents: u = 13, v = 5 n_start has 36 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(79,179) = 0.8682542786980763468 D2(79,179) = 0.07883444466424203250 C1(79,179) = 1.303132152143457382 C2(79,179) = 1.771564849494338038 C3(79,179) = 6.832197973117949529 C4(79,179) = 1432 Sum = 4422.543416289734624 Averaged sum = 0.4418566706254105929 logp*logq = 22.66601176924879664 -------------- ************************************* p = 79; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7325019759.002507281 -------------- Searches starting with [79,181]-exponents: u = 19, v = 5 n_start has 48 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(79,181) = 0.6755045465440393363 D2(79,181) = 0.04312464252837655346 C1(79,181) = 0.9107664044018244281 C2(79,181) = 1.738203564580561839 C3(79,181) = 3.830707534371269460 C4(79,181) = 1448 Sum = 4515.876940503221087 Averaged sum = 0.4511816305827975908 logp*logq = 22.71456168932064900 -------------- ************************************* p = 79; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9265233055.336072818 -------------- Searches starting with [79,191]-exponents: u = 6, v = 94 n_start has 226 digits --- performed 5000 steps in the continued fraction search [79,191]-exponents: u = 9, v = 21 --- starting right neighbors generation We generated 5523 left neighbors We generated 4487 right neighbors We generated 10009 non-negative rho_i D1(79,191) = 0.7235871617471314943 D2(79,191) = 0.01337794041996004664 C1(79,191) = 0.9468557487295169035 C2(79,191) = 1.442737310159187996 C3(79,191) = 4.040094936501059990 C4(79,191) = 1528 Sum = 5110.961411574147252 Averaged sum = 0.5106365682459933312 logp*logq = 22.94953485074794804 -------------- ************************************* p = 79; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9696689195.194172744 -------------- Searches starting with [79,193]-exponents: u = 6, v = 44 n_start has 112 digits starting right neighbors generation We generated 1301 left neighbors We generated 8709 right neighbors We generated 10009 non-negative rho_i D1(79,193) = 0.7168954749128401355 D2(79,193) = 0.03978990997504235429 C1(79,193) = 0.9132296400159710451 C2(79,193) = 1.582727642407039472 C3(79,193) = 3.844647412420207753 C4(79,193) = 1544 Sum = 3956.448297639939912 Averaged sum = 0.3952890696013527737 logp*logq = 22.99505034410971584 -------------- ************************************* p = 79; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10605973177.65734566 -------------- Searches starting with [79,197]-exponents: u = 6, v = 19 n_start has 55 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(79,197) = 0.6499493724450877596 D2(79,197) = 0.08762984362867325657 C1(79,197) = 0.8459352092730822318 C2(79,197) = 1.721714652862589192 C3(79,197) = 3.481443701297151647 C4(79,197) = 1576 Sum = 4639.824962992624135 Averaged sum = 0.4635652875404759851 logp*logq = 23.08468318667996425 -------------- ************************************* p = 79; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11084564576.79444397 -------------- Searches starting with [79,199]-exponents: u = 6, v = 14 n_start has 44 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(79,199) = 0.6666199624169507057 D2(79,199) = 0.008575566770654306886 C1(79,199) = 0.9038901535141014689 C2(79,199) = 1.645378162041412054 C3(79,199) = 3.792060539675010471 C4(79,199) = 1592 Sum = 4378.376526923619937 Averaged sum = 0.4374439531345409069 logp*logq = 23.12881939884575692 -------------- ************************************* p = 79; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14316306339.55041675 -------------- Searches starting with [79,211]-exponents: u = 11, v = 4 n_start has 31 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(79,211) = 0.6595438506956236433 D2(79,211) = 0.08015243006189573820 C1(79,211) = 0.9094579961728537713 C2(79,211) = 1.897020564151076283 C3(79,211) = 3.823323590540909386 C4(79,211) = 1688 Sum = 4369.769236298449270 Averaged sum = 0.4365839980316164721 logp*logq = 23.38466502802516083 -------------- ************************************* p = 79; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18230376619.09613086 -------------- Searches starting with [79,223]-exponents: u = 21, v = 4 n_start has 50 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(79,223) = 1.060942540549966333 D2(79,223) = 0.04416560160641108633 C1(79,223) = 1.401413749672291368 C2(79,223) = 1.744189734028633682 C3(79,223) = 7.897735551138065400 C4(79,223) = 1784 Sum = 5324.264706220783305 Averaged sum = 0.5319477176761697777 logp*logq = 23.62635508472671625 -------------- ************************************* p = 79; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19702989326.19431923 -------------- Searches starting with [79,227]-exponents: u = 36, v = 4 n_start has 78 digits starting right neighbors generation We generated 553 left neighbors We generated 9457 right neighbors We generated 10009 non-negative rho_i D1(79,227) = 0.7398140108781989259 D2(79,227) = 0.03595643052367060168 C1(79,227) = 1.044251318040749659 C2(79,227) = 1.652880392361863243 C3(79,227) = 4.664083103845890503 C4(79,227) = 1816 Sum = 4008.343329576478790 Averaged sum = 0.4004739064418502138 logp*logq = 23.70403620362504563 -------------- ************************************* p = 79; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20472839441.45508806 -------------- Searches starting with [79,229]-exponents: u = 46, v = 4 n_start has 97 digits starting right neighbors generation We generated 841 left neighbors We generated 9169 right neighbors We generated 10009 non-negative rho_i D1(79,229) = 0.8417861653602933659 D2(79,229) = 0.03377224530343473992 C1(79,229) = 1.113132849265442285 C2(79,229) = 1.588454657481151762 C3(79,229) = 5.162735102049303805 C4(79,229) = 1832 Sum = 4951.377915033952440 Averaged sum = 0.4946925681920224238 logp*logq = 23.74236493933287377 -------------- ************************************* p = 79; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22081991844.77548202 -------------- Searches starting with [79,233]-exponents: u = 126, v = 4 n_start has 249 digits --- performed 5000 steps in the continued fraction search [79,233]-exponents: u = 21, v = 34 --- starting right neighbors generation We generated 5785 left neighbors We generated 4225 right neighbors We generated 10009 non-negative rho_i D1(79,233) = 0.8575035456175588609 D2(79,233) = 0.01562795320752078254 C1(79,233) = 1.118966004082910243 C2(79,233) = 1.373008787748564399 C3(79,233) = 5.207335379643409711 C4(79,233) = 1864 Sum = 4994.649805200340085 Averaged sum = 0.4990158662404176326 logp*logq = 23.81802826464780420 -------------- ************************************* p = 79; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24676615866.53707142 -------------- Searches starting with [79,239]-exponents: u = 5, v = 71 n_start has 179 digits starting right neighbors generation We generated 2878 left neighbors We generated 7132 right neighbors We generated 10009 non-negative rho_i D1(79,239) = 0.8320234201883939625 D2(79,239) = 0.02131277328102999702 C1(79,239) = 1.102076826180562100 C2(79,239) = 1.442520508030894249 C3(79,239) = 5.079246281185552587 C4(79,239) = 1912 Sum = 5225.893709456032191 Averaged sum = 0.5221194634285175533 logp*logq = 23.92912190610105593 -------------- ************************************* p = 79; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25591706785.55778821 -------------- Searches starting with [79,241]-exponents: u = 5, v = 47 n_start has 122 digits starting right neighbors generation We generated 1381 left neighbors We generated 8629 right neighbors We generated 10009 non-negative rho_i D1(79,241) = 0.7960151097212352921 D2(79,241) = 0.01553182319894690602 C1(79,241) = 1.083896321463915724 C2(79,241) = 1.550391952518157216 C3(79,241) = 4.944882691468788360 C4(79,241) = 1928 Sum = 3955.743008920800597 Averaged sum = 0.3952186041483465478 logp*logq = 23.96553418225844739 -------------- ************************************* p = 79; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30566744650.16535158 -------------- Searches starting with [79,251]-exponents: u = 5, v = 15 n_start has 46 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(79,251) = 0.7371631102662956496 D2(79,251) = 0.02211938861179920702 C1(79,251) = 1.026187834899744238 C2(79,251) = 1.796151197759191008 C3(79,251) = 4.541485643356884527 C4(79,251) = 2008 Sum = 4231.324544191147453 Averaged sum = 0.4227519776392394298 logp*logq = 24.14317847879696513 -------------- ************************************* p = 79; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33890432430.89492561 -------------- Searches starting with [79,257]-exponents: u = 5, v = 11 n_start has 36 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(79,257) = 0.6954732179372582167 D2(79,257) = 0.1119951935884744011 C1(79,257) = 0.9071857219915549076 C2(79,257) = 1.890192593578787820 C3(79,257) = 3.810533918593081774 C4(79,257) = 2056 Sum = 4754.096036503607198 Averaged sum = 0.4749821197425923866 logp*logq = 24.24639858232152560 -------------- ************************************* p = 79; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37486116305.42046767 -------------- Searches starting with [79,263]-exponents: u = 5, v = 7 n_start has 27 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(79,263) = 0.6953123178075449175 D2(79,263) = 0.1308325146246030587 C1(79,263) = 0.9031020522402758938 C2(79,263) = 1.830271033063101194 C3(79,263) = 3.787656106962936261 C4(79,263) = 2104 Sum = 4737.547487467447834 Averaged sum = 0.4733287528691625371 logp*logq = 24.34723646951458790 -------------- ************************************* p = 79; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41369081817.69810450 -------------- Searches starting with [79,269]-exponents: u = 5, v = 7 n_start has 27 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(79,269) = 0.6210582478593355553 D2(79,269) = 0.06906428807569271629 C1(79,269) = 0.8853124440075155008 C2(79,269) = 1.564993570877647977 C3(79,269) = 3.689585709971399203 C4(79,269) = 2152 Sum = 4629.677027660129665 Averaged sum = 0.4625514065001628200 logp*logq = 24.44579962277406297 -------------- ************************************* p = 79; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42729955755.48143019 -------------- Searches starting with [79,271]-exponents: u = 5, v = 7 n_start has 27 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(79,271) = 0.8495418419925240845 D2(79,271) = 0.01116188359481689182 C1(79,271) = 1.169776548053888724 C2(79,271) = 1.963969232964263671 C3(79,271) = 5.612495054517441639 C4(79,271) = 2168 Sum = 3832.498344719761742 Averaged sum = 0.3829052197741794127 logp*logq = 24.47816605115789175 -------------- ************************************* p = 79; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47020579975.94532467 -------------- Searches starting with [79,277]-exponents: u = 9, v = 3 n_start has 25 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(79,277) = 0.9475217448930960555 D2(79,277) = 0.02365949536545333040 C1(79,277) = 1.234577038879739180 C2(79,277) = 2.033401805737674413 C3(79,277) = 6.175269657089123783 C4(79,277) = 2216 Sum = 4617.699176170170503 Averaged sum = 0.4613546983884674296 logp*logq = 24.57385121464719998 -------------- ************************************* p = 79; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50060429437.43196690 -------------- Searches starting with [79,281]-exponents: u = 9, v = 3 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(79,281) = 0.8709199975064519486 D2(79,281) = 0.05494720133879444540 C1(79,281) = 1.219071940362759854 C2(79,281) = 1.567129404883712787 C3(79,281) = 6.035677826594405996 C4(79,281) = 2248 Sum = 4714.921336953717647 Averaged sum = 0.4710681723402655258 logp*logq = 24.63649670136773853 -------------- ************************************* p = 79; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51636045570.49303793 -------------- Searches starting with [79,283]-exponents: u = 9, v = 3 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(79,283) = 0.8590837580213249770 D2(79,283) = 0.06843747149465615202 C1(79,283) = 1.113284789801974421 C2(79,283) = 1.667603525214797178 C3(79,283) = 5.163891979020290103 C4(79,283) = 2264 Sum = 4630.220076541722170 Averaged sum = 0.4626056625578701339 logp*logq = 24.66748582312385355 -------------- ************************************* p = 79; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60096534110.34595844 -------------- Searches starting with [79,293]-exponents: u = 9, v = 3 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(79,293) = 1.687197641896092223 D2(79,293) = 0.07666489226530313755 C1(79,293) = 2.657205954195521300 C2(79,293) = 1.062067582429772853 C3(79,293) = 50.32053734234364440 C4(79,293) = 2344 Sum = 4589.267361176008339 Averaged sum = 0.4585140734514944889 logp*logq = 24.81921800811162327 -------------- ************************************* p = 79; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73692184968.53785195 -------------- Searches starting with [79,307]-exponents: u = 17, v = 3 n_start has 40 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(79,307) = 0.7188186077484849902 D2(79,307) = 0.1187701547211375712 C1(79,307) = 0.9349125124045341058 C2(79,307) = 1.893352913531351016 C3(79,307) = 3.969563967517807947 C4(79,307) = 2456 Sum = 4558.588966460957515 Averaged sum = 0.4554489925527982331 logp*logq = 25.02316259210047778 -------------- ************************************* p = 79; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77980592122.02116301 -------------- Searches starting with [79,311]-exponents: u = 21, v = 3 n_start has 48 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(79,311) = 0.6578468129968224386 D2(79,311) = 0.04699593814572977001 C1(79,311) = 0.8885660792546317255 C2(79,311) = 1.824392937732332858 C3(79,311) = 3.707330618520016485 C4(79,311) = 2488 Sum = 4199.034878067627235 Averaged sum = 0.4195259144837273689 logp*logq = 25.07972581372698589 -------------- ************************************* p = 79; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80195656399.48845413 -------------- Searches starting with [79,313]-exponents: u = 21, v = 3 n_start has 48 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(79,313) = 0.8511798710048997007 D2(79,313) = 0.01569912734702449263 C1(79,313) = 1.126176646494746900 C2(79,313) = 1.794489567094232628 C3(79,313) = 5.263000803645190330 C4(79,313) = 2504 Sum = 4707.803892427732144 Averaged sum = 0.4703570678816797026 logp*logq = 25.10773519074481959 -------------- ************************************* p = 79; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84771139729.28138634 -------------- Searches starting with [79,317]-exponents: u = 25, v = 3 n_start has 55 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(79,317) = 0.8261550179468865969 D2(79,317) = 0.04988425535578386897 C1(79,317) = 1.187967687648248978 C2(79,317) = 1.756031472096434979 C3(79,317) = 5.765089585173888727 C4(79,317) = 2536 Sum = 4210.007189513728426 Averaged sum = 0.4206221590082654038 logp*logq = 25.16322098843660440 -------------- ************************************* p = 79; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102389875751.6139510 -------------- Searches starting with [79,331]-exponents: u = 81, v = 3 n_start has 162 digits starting right neighbors generation We generated 1930 left neighbors We generated 8080 right neighbors We generated 10009 non-negative rho_i D1(79,331) = 0.9427995980567003944 D2(79,331) = 0.01755607373267174747 C1(79,331) = 1.259173003107070264 C2(79,331) = 1.477188070043293617 C3(79,331) = 6.403358773461519688 C4(79,331) = 2648 Sum = 4305.017934193645977 Averaged sum = 0.4301146901981862300 logp*logq = 25.35205367505075117 -------------- ************************************* p = 79; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110750843401.7221410 -------------- Searches starting with [79,337]-exponents: u = 329, v = 3 n_start has 632 digits --- performed 5000 steps in the continued fraction search [79,337]-exponents: u = 95, v = 163 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(79,337) = 0.6058768688139424385 D2(79,337) = 0.2070724279767792742 C1(79,337) = 0.7600244421324555707 C2(79,337) = 1.312395007507084697 C3(79,337) = 3.067184066403594722 C4(79,337) = 2696 Sum = 5561.557487142601667 Averaged sum = 0.5562113698512452912 logp*logq = 25.43054886120809637 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(79,337) = 0.6058768688139424385 D2(79,337) = 0.2070724279767792742 C1(79,337) = 0.7600244421324555707 C2(79,337) = 1.312395007507084697 C3(79,337) = 3.067184066403594722 C4(79,337) = 2696 Sum = 5561.557487142601667 Averaged sum = 0.5562113698512452912 logp*logq = 25.43054886120809637 -------------- ************************************* p = 79; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125845348618.7633391 -------------- Searches starting with [79,347]-exponents: u = 4, v = 62 n_start has 166 digits starting right neighbors generation We generated 1978 left neighbors We generated 8032 right neighbors We generated 10009 non-negative rho_i D1(79,347) = 0.8665696749699892846 D2(79,347) = 0.02100585207301881768 C1(79,347) = 1.155758702127038450 C2(79,347) = 1.479559155327472874 C3(79,347) = 5.497668770817592586 C4(79,347) = 2776 Sum = 4297.779166824393431 Averaged sum = 0.4293914643645112829 logp*logq = 25.55831959812093697 -------------- ************************************* p = 79; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129045570227.8246460 -------------- Searches starting with [79,349]-exponents: u = 4, v = 47 n_start has 128 digits starting right neighbors generation We generated 1082 left neighbors We generated 8928 right neighbors We generated 10009 non-negative rho_i D1(79,349) = 1.309151383130669296 D2(79,349) = 0.03240722164375193125 C1(79,349) = 1.768286636709327164 C2(79,349) = 1.537714380699616244 C3(79,349) = 13.56618480351978994 C4(79,349) = 2792 Sum = 6722.252890073499113 Averaged sum = 0.6716208302601158070 logp*logq = 25.58343143650735091 -------------- ************************************* p = 79; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 135634045362.4089224 -------------- Searches starting with [79,353]-exponents: u = 4, v = 35 n_start has 97 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(79,353) = 0.7363308628993784305 D2(79,353) = 0.01960717401084660700 C1(79,353) = 0.9545102018625743278 C2(79,353) = 1.622565548936056530 C3(79,353) = 4.085956000445089156 C4(79,353) = 2824 Sum = 4475.027722485054733 Averaged sum = 0.4471003819047911613 logp*logq = 25.63322625293357395 -------------- ************************************* p = 79; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145999695896.4071792 -------------- Searches starting with [79,359]-exponents: u = 4, v = 23 n_start has 67 digits starting right neighbors generation We generated 309 left neighbors We generated 9701 right neighbors We generated 10009 non-negative rho_i D1(79,359) = 0.7639399302398874983 D2(79,359) = 0.01753608618955669987 C1(79,359) = 0.9830390230439156211 C2(79,359) = 1.720770743207079050 C3(79,359) = 4.261517737800532833 C4(79,359) = 2872 Sum = 4585.307486414435098 Averaged sum = 0.4581184420436042659 logp*logq = 25.70687037575125766 -------------- ************************************* p = 79; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160758752265.3484886 -------------- Searches starting with [79,367]-exponents: u = 4, v = 17 n_start has 52 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(79,367) = 0.8912937478135525200 D2(79,367) = 0.05213798884616626416 C1(79,367) = 1.134366286244956940 C2(79,367) = 1.827148665535896842 C3(79,367) = 5.326946059458847479 C4(79,367) = 2936 Sum = 4064.433780950885491 Averaged sum = 0.4060779079779084316 logp*logq = 25.80317064502272337 -------------- ************************************* p = 79; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172562980119.7490221 -------------- Searches starting with [79,373]-exponents: u = 4, v = 14 n_start has 44 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(79,373) = 0.7076553805671346449 D2(79,373) = 0.0008641921999310163815 C1(79,373) = 0.9328122671691185687 C2(79,373) = 1.869755822101832742 C3(79,373) = 3.957288854934617417 C4(79,373) = 2984 Sum = 4608.266242644281768 Averaged sum = 0.4604122532365153130 logp*logq = 25.87402810892772882 -------------- ************************************* p = 79; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 185024635910.5047309 -------------- Searches starting with [79,379]-exponents: u = 4, v = 11 n_start has 36 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(79,379) = 0.7486909058201584059 D2(79,379) = 0.06497814109427069113 C1(79,379) = 1.026773041258596060 C2(79,379) = 1.936633664630606998 C3(79,379) = 4.545406485977329237 C4(79,379) = 3032 Sum = 4109.700517818974035 Averaged sum = 0.4106005113217078664 logp*logq = 25.94375482024259632 -------------- ************************************* p = 79; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 193710131262.0433626 -------------- Searches starting with [79,383]-exponents: u = 4, v = 11 n_start has 37 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(79,383) = 0.7053589193084217494 D2(79,383) = 0.1132641329567617493 C1(79,383) = 0.8997119441724961338 C2(79,383) = 1.986737654987231875 C3(79,383) = 3.768768192716199251 C4(79,383) = 3064 Sum = 4018.779430215213184 Averaged sum = 0.4015165781012302112 logp*logq = 25.98962870987407705 -------------- ************************************* p = 79; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 207324068844.6933614 -------------- Searches starting with [79,389]-exponents: u = 4, v = 8 n_start has 29 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(79,389) = 0.7662806700773585988 D2(79,389) = 0.1372374012627647243 C1(79,389) = 1.011126010814500425 C2(79,389) = 1.432908335952813251 C3(79,389) = 4.441727933324632592 C4(79,389) = 3112 Sum = 4419.177667152791564 Averaged sum = 0.4415203983567580741 logp*logq = 26.05754895599030980 -------------- ************************************* p = 79; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226610275502.3843543 -------------- Searches starting with [79,397]-exponents: u = 4, v = 8 n_start has 29 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(79,397) = 0.7567583877684178896 D2(79,397) = 0.01350533524120308095 C1(79,397) = 1.026109391393418455 C2(79,397) = 2.025698368796564740 C3(79,397) = 4.540960334347858560 C4(79,397) = 3176 Sum = 4374.962924846462205 Averaged sum = 0.4371028998747589375 logp*logq = 26.14649753094814010 -------------- ************************************* p = 79; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 236757414487.4086434 -------------- Searches starting with [79,401]-exponents: u = 4, v = 8 n_start has 29 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(79,401) = 1.016655280564169131 D2(79,401) = 0.03992348799409466361 C1(79,401) = 1.337488445121568498 C2(79,401) = 2.053977346306283786 C3(79,401) = 7.187256176180987829 C4(79,401) = 3208 Sum = 5087.930252484996956 Averaged sum = 0.5083355232775499007 logp*logq = 26.19030188631485170 -------------- ************************************* p = 79; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 258100472387.6010654 -------------- Searches starting with [79,409]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(79,409) = 0.7903352174118482971 D2(79,409) = 0.06081429183546826888 C1(79,409) = 1.276368653419994120 C2(79,409) = 1.326983626920555770 C3(79,409) = 6.567807068518216158 C4(79,409) = 3272 Sum = 4416.440135557656356 Averaged sum = 0.4412468913535474429 logp*logq = 26.27661477391959914 -------------- ************************************* p = 79; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 286831887868.2059821 -------------- Searches starting with [79,419]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(79,419) = 0.9169959331442600572 D2(79,419) = 0.02801330572696440535 C1(79,419) = 1.229237695937762874 C2(79,419) = 1.952805991070835556 C3(79,419) = 6.126839022442397164 C4(79,419) = 3352 Sum = 5091.660177449843952 Averaged sum = 0.5087081803826400192 logp*logq = 26.38216212452686421 -------------- ************************************* p = 79; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 292862501710.6170987 -------------- Searches starting with [79,421]-exponents: u = 11, v = 5 n_start has 34 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(79,421) = 0.8079178162639913038 D2(79,421) = 0.02086919746989650588 C1(79,421) = 1.093323928472158250 C2(79,421) = 1.946662851695052636 C3(79,421) = 5.014107988847810112 C4(79,421) = 3368 Sum = 4864.020737471557801 Averaged sum = 0.4859647055121948048 logp*logq = 26.40296905838019415 -------------- ************************************* p = 79; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 324497272279.4208489 -------------- Searches starting with [79,431]-exponents: u = 18, v = 5 n_start has 48 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(79,431) = 0.6499907493507344019 D2(79,431) = 0.1142335075067341396 C1(79,431) = 0.9478047551451720619 C2(79,431) = 1.888664443608511230 C3(79,431) = 4.045752763487423576 C4(79,431) = 3448 Sum = 4580.984680296060468 Averaged sum = 0.4576865501344850103 logp*logq = 26.50554296713664609 -------------- ************************************* p = 79; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 331128358939.8840349 -------------- Searches starting with [79,433]-exponents: u = 25, v = 5 n_start has 61 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(79,433) = 0.7051507948040655960 D2(79,433) = 0.09317511744803994102 C1(79,433) = 0.9108061821641915406 C2(79,433) = 1.868541905861849444 C3(79,433) = 3.830932241632332441 C4(79,433) = 3464 Sum = 4395.965916336140190 Averaged sum = 0.4392013104542052343 logp*logq = 26.52577192851100452 -------------- ************************************* p = 79; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 351650244079.5485630 -------------- Searches starting with [79,439]-exponents: u = 32, v = 5 n_start has 74 digits starting right neighbors generation We generated 477 left neighbors We generated 9533 right neighbors We generated 10009 non-negative rho_i D1(79,439) = 0.7818385194119449368 D2(79,439) = 0.03687764158893320351 C1(79,439) = 1.012242663035812263 C2(79,439) = 1.815025896899134918 C3(79,439) = 4.449047957704195268 C4(79,439) = 3512 Sum = 4607.199582724956166 Averaged sum = 0.4603056831576537282 logp*logq = 26.58590289379816018 -------------- ************************************* p = 79; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365866864356.0991487 -------------- Searches starting with [79,443]-exponents: u = 46, v = 5 n_start has 101 digits starting right neighbors generation We generated 950 left neighbors We generated 9060 right neighbors We generated 10009 non-negative rho_i D1(79,443) = 0.6745713557491936114 D2(79,443) = 0.003725025313769872907 C1(79,443) = 0.9251259266957944401 C2(79,443) = 1.783706247781889976 C3(79,443) = 3.912687972602161244 C4(79,443) = 3544 Sum = 4505.770874487022774 Averaged sum = 0.4501719327092639398 logp*logq = 26.62553534558167991 -------------- ************************************* p = 79; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 388018184140.2494699 -------------- Searches starting with [79,449]-exponents: u = 116, v = 5 n_start has 234 digits starting right neighbors generation We generated 5176 left neighbors We generated 4834 right neighbors We generated 10009 non-negative rho_i D1(79,449) = 0.6060029701322045830 D2(79,449) = 0.001157104387364128798 C1(79,449) = 0.8693651956882969976 C2(79,449) = 1.614434856390382185 C3(79,449) = 3.603832206781674699 C4(79,449) = 3592 Sum = 4854.861755989014201 Averaged sum = 0.4850496309310634629 logp*logq = 26.68431804181234111 -------------- ************************************* p = 79; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 419145809087.9947864 -------------- Searches starting with [79,457]-exponents: u = 7, v = 117 n_start has 325 digits --- performed 5000 steps in the continued fraction search [79,457]-exponents: u = 111, v = 7 --- starting right neighbors generation We generated 9895 left neighbors We generated 115 right neighbors We generated 10009 non-negative rho_i D1(79,457) = 0.9898113469149205606 D2(79,457) = 0.007737313846971454667 C1(79,457) = 1.276017408680853292 C2(79,457) = 1.533899485618448672 C3(79,457) = 6.564406098757142875 C4(79,457) = 3656 Sum = 5072.853058610385290 Averaged sum = 0.5068291596173828844 logp*logq = 26.76148468938311787 -------------- ************************************* p = 79; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 435413898864.8273922 -------------- Searches starting with [79,461]-exponents: u = 7, v = 52 n_start has 152 digits starting right neighbors generation We generated 2164 left neighbors We generated 7846 right neighbors We generated 10009 non-negative rho_i D1(79,461) = 0.6458475614753990068 D2(79,461) = 0.005556574645193654214 C1(79,461) = 0.8351731232583451818 C2(79,461) = 1.708366973973311339 C3(79,461) = 3.426628722053772245 C4(79,461) = 3688 Sum = 4369.893103205566368 Averaged sum = 0.4365963735843307392 logp*logq = 26.79956290729713823 -------------- ************************************* p = 79; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 443728309040.5029973 -------------- Searches starting with [79,463]-exponents: u = 7, v = 42 n_start has 126 digits starting right neighbors generation We generated 1423 left neighbors We generated 8587 right neighbors We generated 10009 non-negative rho_i D1(79,463) = 0.7825984895916551092 D2(79,463) = 0.02800245813891109382 C1(79,463) = 1.065627788718391598 C2(79,463) = 1.731513735458876646 C3(79,463) = 4.813448611083127003 C4(79,463) = 3704 Sum = 3824.153491372764940 Averaged sum = 0.3820714848009556340 logp*logq = 26.81847829550583376 -------------- ************************************* p = 79; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 460724079846.5115631 -------------- Searches starting with [79,467]-exponents: u = 7, v = 27 n_start has 86 digits starting right neighbors generation We generated 670 left neighbors We generated 9340 right neighbors We generated 10009 non-negative rho_i D1(79,467) = 0.5882177006655389069 D2(79,467) = 0.01023619814389425160 C1(79,467) = 0.7845189706183326597 C2(79,467) = 1.821503374872368598 C3(79,467) = 3.179997555018107012 C4(79,467) = 3736 Sum = 4637.917497551518260 Averaged sum = 0.4633747125138893256 logp*logq = 26.85606517547658576 -------------- ************************************* p = 79; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 514738026319.3272312 -------------- Searches starting with [79,479]-exponents: u = 7, v = 12 n_start has 46 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(79,479) = 0.7182293563373166576 D2(79,479) = 0.09940409774812247528 C1(79,479) = 0.9422711779518871302 C2(79,479) = 1.915070466002488631 C3(79,479) = 4.012873686575450304 C4(79,479) = 3832 Sum = 4470.347495853846458 Averaged sum = 0.4466327800833096671 logp*logq = 26.96692392142655717 -------------- ************************************* p = 79; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 553372595647.9686339 -------------- Searches starting with [79,487]-exponents: u = 7, v = 12 n_start has 46 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(79,487) = 0.8894983246534938983 D2(79,487) = 0.1190857465850353988 C1(79,487) = 1.352513409831698589 C2(79,487) = 1.274312310055065727 C3(79,487) = 7.348276867064724369 C4(79,487) = 3896 Sum = 4202.571563081204384 Averaged sum = 0.4198792649696477554 logp*logq = 27.03929738310193794 -------------- ************************************* p = 79; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 573509011824.8872907 -------------- Searches starting with [79,491]-exponents: u = 7, v = 7 n_start has 33 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(79,491) = 0.7503170463473880149 D2(79,491) = 0.1543870054580619695 C1(79,491) = 1.004282684101457796 C2(79,491) = 1.925134443287129718 C3(79,491) = 4.397129996233554780 C4(79,491) = 3928 Sum = 4236.020182727245195 Averaged sum = 0.4232211192653856724 logp*logq = 27.07503948712365404 -------------- ************************************* p = 79; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 615473891495.5824319 -------------- Searches starting with [79,499]-exponents: u = 7, v = 7 n_start has 33 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(79,499) = 0.7249322121746366142 D2(79,499) = 0.004850241980477693757 C1(79,499) = 0.9619201599451024804 C2(79,499) = 2.002491635089258464 C3(79,499) = 4.130848045319554729 C4(79,499) = 3992 Sum = 4406.637297951272578 Averaged sum = 0.4402674890549777778 logp*logq = 27.14565836330500014 -------------- ************************************* p = 79; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 637324230959.1312052 -------------- Searches starting with [79,503]-exponents: u = 7, v = 7 n_start has 33 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(79,503) = 0.6713355915418184330 D2(79,503) = 0.01268431856412512632 C1(79,503) = 0.8947678746400249770 C2(79,503) = 2.011885911136854571 C3(79,503) = 3.741391131632544236 C4(79,503) = 4024 Sum = 4431.608572603350054 Averaged sum = 0.4427623711263213162 logp*logq = 27.18054435981976942 -------------- ************************************* p = 79; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 671215846836.2287014 -------------- Searches starting with [79,509]-exponents: u = 7, v = 7 n_start has 33 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(79,509) = 0.7055961844438847834 D2(79,509) = 0.02456158036287289625 C1(79,509) = 1.157781621023291105 C2(79,509) = 2.026079821083281149 C3(79,509) = 5.514093188926265207 C4(79,509) = 4072 Sum = 4642.255348508561158 Averaged sum = 0.4638081075540574641 logp*logq = 27.23235660152902923 -------------- ************************************* p = 79; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 743157312608.5047351 -------------- Searches starting with [79,521]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(79,521) = 0.6757147604705388222 D2(79,521) = 0.0002786137171111623134 C1(79,521) = 0.9162218223207404076 C2(79,521) = 2.182559489075947698 C3(79,521) = 3.861648945328329510 C4(79,521) = 4168 Sum = 3742.453418215335857 Averaged sum = 0.3739088238800415483 logp*logq = 27.33417358550972912 -------------- ************************************* p = 79; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 755703382919.6048469 -------------- Searches starting with [79,523]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(79,523) = 0.6845052847792383898 D2(79,523) = 0.04076146150515467977 C1(79,523) = 0.9387426565167379570 C2(79,523) = 1.585741154153931452 C3(79,523) = 3.992047781520362321 C4(79,523) = 4184 Sum = 4415.343130332488612 Averaged sum = 0.4411372894727234101 logp*logq = 27.35091478550085165 -------------- ************************************* p = 79; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 876118640112.0385962 -------------- Searches starting with [79,541]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(79,541) = 0.6572479913309495754 D2(79,541) = 0.08428909806324440009 C1(79,541) = 0.9277089527032156280 C2(79,541) = 1.946512749491722242 C3(79,541) = 3.927619918234785898 C4(79,541) = 4328 Sum = 4314.119658735200253 Averaged sum = 0.4310240442337096865 logp*logq = 27.49876735263030980 -------------- ************************************* p = 79; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 919375324014.3753376 -------------- Searches starting with [79,547]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(79,547) = 0.9640294294773723139 D2(79,547) = 0.09654140753957354403 C1(79,547) = 1.272059326181518091 C2(79,547) = 1.960810361825414557 C3(79,547) = 6.526203008703806198 C4(79,547) = 4376 Sum = 5272.750310945194685 Averaged sum = 0.5268009102752717239 logp*logq = 27.54696028073101128 -------------- ************************************* p = 79; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 995109988978.7518916 -------------- Searches starting with [79,557]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(79,557) = 0.5910776170957971146 D2(79,557) = 0.06841790892654931672 C1(79,557) = 0.7722080053139641525 C2(79,557) = 2.131073866345725044 C3(79,557) = 3.122788108436067955 C4(79,557) = 4456 Sum = 4595.579436861318218 Averaged sum = 0.4591447134440321928 logp*logq = 27.62611910968290967 -------------- ************************************* p = 79; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1042804746046.321514 -------------- Searches starting with [79,563]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(79,563) = 0.9109411529093725290 D2(79,563) = 0.02761676526280271137 C1(79,563) = 1.187352483170266352 C2(79,563) = 2.092810613780020202 C3(79,563) = 5.759861849862365534 C4(79,563) = 4504 Sum = 4618.533386772319712 Averaged sum = 0.4614380444372384565 logp*logq = 27.67293507024810661 -------------- ************************************* p = 79; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1092243265669.168960 -------------- Searches starting with [79,569]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(79,569) = 0.6530964175288922871 D2(79,569) = 0.1364471198671648298 C1(79,569) = 0.8355630702030756043 C2(79,569) = 1.908849817652516234 C3(79,569) = 3.428599703195072722 C4(79,569) = 4552 Sum = 4313.075040753790795 Averaged sum = 0.4309196763666490953 logp*logq = 27.71925473920085266 -------------- ************************************* p = 79; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1109117922476.223034 -------------- Searches starting with [79,571]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(79,571) = 0.6246301511797703228 D2(79,571) = 0.1407681049759140631 C1(79,571) = 0.8115704983721912725 C2(79,571) = 1.913796150730538759 C3(79,571) = 3.309415548130161677 C4(79,571) = 4568 Sum = 4591.385517154299671 Averaged sum = 0.4587256985867019354 logp*logq = 27.73458615090379869 -------------- ************************************* p = 79; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1160950564596.928947 -------------- Searches starting with [79,577]-exponents: u = 16, v = 2 n_start has 36 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(79,577) = 0.8646444249336049539 D2(79,577) = 0.1042546118730379470 C1(79,577) = 1.324516583165905783 C2(79,577) = 1.305817224072578875 C3(79,577) = 7.051079313042924667 C4(79,577) = 4616 Sum = 4291.767234675889010 Averaged sum = 0.4287908117370255780 logp*logq = 27.78026023771787617 -------------- ************************************* p = 79; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1251468163000.359877 -------------- Searches starting with [79,587]-exponents: u = 16, v = 2 n_start has 36 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(79,587) = 0.9116803272246561732 D2(79,587) = 0.06036698607252840220 C1(79,587) = 1.211192352858074084 C2(79,587) = 2.037784451272755026 C3(79,587) = 5.965951971143760830 C4(79,587) = 4696 Sum = 4810.213991981304035 Averaged sum = 0.4805888692158361509 logp*logq = 27.85533850842183665 -------------- ************************************* p = 79; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1308331731659.897597 -------------- Searches starting with [79,593]-exponents: u = 16, v = 2 n_start has 36 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(79,593) = 0.9998688934539366987 D2(79,593) = 0.01387365438857044272 C1(79,593) = 1.500648705525050971 C2(79,593) = 1.993604212520270732 C3(79,593) = 9.142296227503708166 C4(79,593) = 4744 Sum = 3796.745820351258324 Averaged sum = 0.3793331821711717777 logp*logq = 27.89977395428506546 -------------- ************************************* p = 79; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1367167306677.530944 -------------- Searches starting with [79,599]-exponents: u = 19, v = 2 n_start has 42 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(79,599) = 0.9245502173915977324 D2(79,599) = 0.1355315243329071310 C1(79,599) = 1.192857249647065765 C2(79,599) = 2.042880515283100283 C3(79,599) = 5.806807989123967381 C4(79,599) = 4792 Sum = 4439.675501734210844 Averaged sum = 0.4435683386686193270 logp*logq = 27.94376205585036203 -------------- ************************************* p = 79; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1387225597597.626993 -------------- Searches starting with [79,601]-exponents: u = 19, v = 2 n_start has 42 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(79,601) = 0.8314276791474659445 D2(79,601) = 0.1129474539610005025 C1(79,601) = 1.161582502261683672 C2(79,601) = 2.021029826804647444 C3(79,601) = 5.545086008389968939 C4(79,601) = 4808 Sum = 4128.346411783947668 Averaged sum = 0.4124634240967077299 logp*logq = 27.95832689551122474 -------------- ************************************* p = 79; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1448764678762.465568 -------------- Searches starting with [79,607]-exponents: u = 22, v = 2 n_start has 48 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(79,607) = 2.068610395837438385 D2(79,607) = 0.05282871747730853299 C1(79,607) = 3.055477691760991660 C2(79,607) = 1.963096608633330007 C3(79,607) = 90.53344969804007269 C4(79,607) = 4856 Sum = 3017.674879303446977 Averaged sum = 0.3014961414030819240 logp*logq = 28.00173236356800218 -------------- ************************************* p = 79; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1512387865629.301985 -------------- Searches starting with [79,613]-exponents: u = 22, v = 2 n_start has 48 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(79,613) = 0.7011453485504121582 D2(79,613) = 0.001035757957762913604 C1(79,613) = 0.9696895021808933822 C2(79,613) = 1.913467562758297124 C3(79,613) = 4.178447142743690238 C4(79,613) = 4904 Sum = 4023.416161104051695 Averaged sum = 0.4019798342595715551 logp*logq = 28.04471088567611089 -------------- ************************************* p = 79; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1555985400432.528551 -------------- Searches starting with [79,617]-exponents: u = 22, v = 2 n_start has 48 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(79,617) = 0.9170501702475703310 D2(79,617) = 0.09225370977343232553 C1(79,617) = 1.337186732005157176 C2(79,617) = 1.946322788931572301 C3(79,617) = 7.184059153403639438 C4(79,617) = 4936 Sum = 4111.008489894856682 Averaged sum = 0.4107311909176597744 logp*logq = 28.07313015888528537 -------------- ************************************* p = 79; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1578144300197.776435 -------------- Searches starting with [79,619]-exponents: u = 25, v = 2 n_start has 54 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(79,619) = 0.9164188463110704164 D2(79,619) = 0.06978177468578738892 C1(79,619) = 1.185060637354118135 C2(79,619) = 1.924543077093660309 C3(79,619) = 5.740428448725886790 C4(79,619) = 4952 Sum = 4513.990521961206844 Averaged sum = 0.4509931583536024422 logp*logq = 28.08727077916364604 -------------- ************************************* p = 79; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1716256798509.034450 -------------- Searches starting with [79,631]-exponents: u = 28, v = 2 n_start has 59 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(79,631) = 0.5921607245904064464 D2(79,631) = 0.05025326428365565122 C1(79,631) = 0.7742433662634649211 C2(79,631) = 1.859698107699827061 C3(79,631) = 3.132174980338760810 C4(79,631) = 5048 Sum = 4575.101998932879739 Averaged sum = 0.4570988109634208950 logp*logq = 28.17116675527874151 -------------- ************************************* p = 79; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1838314400449.096681 -------------- Searches starting with [79,641]-exponents: u = 34, v = 2 n_start has 71 digits starting right neighbors generation We generated 250 left neighbors We generated 9760 right neighbors We generated 10009 non-negative rho_i D1(79,641) = 0.9101331701126161854 D2(79,641) = 0.02471859201394401216 C1(79,641) = 1.224987025678301289 C2(79,641) = 1.795616185457090253 C3(79,641) = 6.088554917324016770 C4(79,641) = 5128 Sum = 4831.446354665451172 Averaged sum = 0.4827101962898842213 logp*logq = 28.23987018097312191 -------------- ************************************* p = 79; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1863508615344.361735 -------------- Searches starting with [79,643]-exponents: u = 34, v = 2 n_start has 71 digits starting right neighbors generation We generated 250 left neighbors We generated 9760 right neighbors We generated 10009 non-negative rho_i D1(79,643) = 0.8121507780104019884 D2(79,643) = 0.002029573093206534432 C1(79,643) = 1.143828224600129774 C2(79,643) = 1.773563783443751231 C3(79,643) = 5.401793473229298358 C4(79,643) = 5144 Sum = 4451.843825372942116 Averaged sum = 0.4447840768681129100 logp*logq = 28.25348217906102694 -------------- ************************************* p = 79; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1914695306318.355767 -------------- Searches starting with [79,647]-exponents: u = 37, v = 2 n_start has 76 digits starting right neighbors generation We generated 273 left neighbors We generated 9737 right neighbors We generated 10009 non-negative rho_i D1(79,647) = 0.7154544697304688835 D2(79,647) = 0.02649604833924169817 C1(79,647) = 1.001469666900362426 C2(79,647) = 1.763241898346948168 C3(79,647) = 4.378927696442670192 C4(79,647) = 5176 Sum = 4269.302436531673662 Averaged sum = 0.4265463519364245841 logp*logq = 28.28057961692984422 -------------- ************************************* p = 79; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1993500526978.690740 -------------- Searches starting with [79,653]-exponents: u = 43, v = 2 n_start has 88 digits starting right neighbors generation We generated 388 left neighbors We generated 9622 right neighbors We generated 10009 non-negative rho_i D1(79,653) = 0.7174669745671505505 D2(79,653) = 0.01334802663917890058 C1(79,653) = 0.9531739933235777380 C2(79,653) = 1.720391610429438461 C3(79,653) = 4.077912869284371794 C4(79,653) = 5224 Sum = 4692.452396443855713 Averaged sum = 0.4688232986755775514 logp*logq = 28.32091326811626385 -------------- ************************************* p = 79; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2074783670071.759732 -------------- Searches starting with [79,659]-exponents: u = 49, v = 2 n_start has 99 digits starting right neighbors generation We generated 446 left neighbors We generated 9564 right neighbors We generated 10009 non-negative rho_i D1(79,659) = 0.6095379261041760915 D2(79,659) = 0.03848040009470758948 C1(79,659) = 0.8370316072205859298 C2(79,659) = 1.694365352373189686 C3(79,659) = 3.436032581722327183 C4(79,659) = 5272 Sum = 4527.083093846849009 Averaged sum = 0.4523012382702416834 logp*logq = 28.36087800878913546 -------------- ************************************* p = 79; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2102438063776.690860 -------------- Searches starting with [79,661]-exponents: u = 52, v = 2 n_start has 105 digits starting right neighbors generation We generated 556 left neighbors We generated 9454 right neighbors We generated 10009 non-negative rho_i D1(79,661) = 0.6401086607360813215 D2(79,661) = 0.007362716511985156646 C1(79,661) = 0.8421121420428405254 C2(79,661) = 1.663827686899918662 C3(79,661) = 3.461871813647889775 C4(79,661) = 5288 Sum = 4668.613044707793569 Averaged sum = 0.4664415071143764181 logp*logq = 28.37411876998942526 -------------- ************************************* p = 79; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2274386920293.251787 -------------- Searches starting with [79,673]-exponents: u = 76, v = 2 n_start has 150 digits starting right neighbors generation We generated 1076 left neighbors We generated 8934 right neighbors We generated 10009 non-negative rho_i D1(79,673) = 0.6638538156731417187 D2(79,673) = 0.02941140907633332461 C1(79,673) = 0.8898994044820568714 C2(79,673) = 1.579188784597541785 C3(79,673) = 3.714627032330052041 C4(79,673) = 5384 Sum = 3852.942419859012973 Averaged sum = 0.3849477889758230566 logp*logq = 28.45273164642831286 -------------- ************************************* p = 79; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2334046906214.935754 -------------- Searches starting with [79,677]-exponents: u = 88, v = 2 n_start has 173 digits starting right neighbors generation We generated 1528 left neighbors We generated 8482 right neighbors We generated 10009 non-negative rho_i D1(79,677) = 0.6815330709059451529 D2(79,677) = 0.001757178688781062108 C1(79,677) = 0.8752754128424519576 C2(79,677) = 1.525751177590301750 C3(79,677) = 3.635378397800913701 C4(79,677) = 5416 Sum = 4316.189338521692828 Averaged sum = 0.4312308261086714784 logp*logq = 28.47862474651253833 -------------- ************************************* p = 79; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2425791425946.098489 -------------- Searches starting with [79,683]-exponents: u = 115, v = 2 n_start has 224 digits starting right neighbors generation We generated 2407 left neighbors We generated 7603 right neighbors We generated 10009 non-negative rho_i D1(79,683) = 1.016077968605828763 D2(79,683) = 0.01051430600342721148 C1(79,683) = 1.330151733475317982 C2(79,683) = 1.463464112592940899 C3(79,683) = 7.109916490151551688 C4(79,683) = 5464 Sum = 5437.811366096952912 Averaged sum = 0.5432921736534072247 logp*logq = 28.51717894828864367 -------------- ************************************* p = 79; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2552414812003.427681 -------------- Searches starting with [79,691]-exponents: u = 202, v = 2 n_start has 389 digits --- performed 5000 steps in the continued fraction search [79,691]-exponents: u = 56, v = 72 --- starting right neighbors generation We generated 7301 left neighbors We generated 2709 right neighbors We generated 10009 non-negative rho_i D1(79,691) = 0.6540925957177085689 D2(79,691) = 0.009905802115007662092 C1(79,691) = 0.8352967032628023484 C2(79,691) = 1.344973972501546757 C3(79,691) = 3.427253232710841533 C4(79,691) = 5528 Sum = 5110.625665376855223 Averaged sum = 0.5106030238162508964 logp*logq = 28.56806101209075561 -------------- ************************************* p = 79; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2717793667108.591929 -------------- Searches starting with [79,701]-exponents: u = 1969, v = 2 n_start has 3743 digits --- performed 5000 steps in the continued fraction search [79,701]-exponents: u = 749, v = 813 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(79,701) = 1.135129404756245572 D2(79,701) = 0.5523820698622063085 C1(79,701) = 1.355807242160025415 C2(79,701) = 1.505278168060739524 C3(79,701) = 7.384055783076054020 C4(79,701) = 5608 Sum = 6297.492359065160916 Averaged sum = 0.6298122171282289145 logp*logq = 28.63084151527651034 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(79,701) = 1.135129404756245572 D2(79,701) = 0.5523820698622063085 C1(79,701) = 1.355807242160025415 C2(79,701) = 1.505278168060739524 C3(79,701) = 7.384055783076054020 C4(79,701) = 5608 Sum = 6297.492359065160916 Averaged sum = 0.6298122171282289145 logp*logq = 28.63084151527651034 -------------- ************************************* p = 79; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2855946518769.741699 -------------- Searches starting with [79,709]-exponents: u = 3, v = 225 n_start has 648 digits --- performed 5000 steps in the continued fraction search [79,709]-exponents: u = 291, v = 18 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(79,709) = 0.7033940667888794152 D2(79,709) = 0.1484992657246802929 C1(79,709) = 0.8815227299120547713 C2(79,709) = 1.354575069366353497 C3(79,709) = 3.669024147058042619 C4(79,709) = 5672 Sum = 5413.476599471865397 Averaged sum = 0.5414018001271992596 logp*logq = 28.68042443430959513 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(79,709) = 0.7033940667888794152 D2(79,709) = 0.1484992657246802929 C1(79,709) = 0.8815227299120547713 C2(79,709) = 1.354575069366353497 C3(79,709) = 3.669024147058042619 C4(79,709) = 5672 Sum = 5413.476599471865397 Averaged sum = 0.5414018001271992596 logp*logq = 28.68042443430959513 -------------- ************************************* p = 79; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3036182796560.037144 -------------- Searches starting with [79,719]-exponents: u = 3, v = 91 n_start has 266 digits starting right neighbors generation We generated 3522 left neighbors We generated 6488 right neighbors We generated 10009 non-negative rho_i D1(79,719) = 0.6212028542025654443 D2(79,719) = 0.0002860263052280991885 C1(79,719) = 0.8065761407598534436 C2(79,719) = 1.428144360973210271 C3(79,719) = 3.285131690122033044 C4(79,719) = 5752 Sum = 4908.922462042606380 Averaged sum = 0.4904508404478575662 logp*logq = 28.74162218332003371 -------------- ************************************* p = 79; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3186584110756.939986 -------------- Searches starting with [79,727]-exponents: u = 3, v = 61 n_start has 181 digits starting right neighbors generation We generated 1597 left neighbors We generated 8413 right neighbors We generated 10009 non-negative rho_i D1(79,727) = 0.8844856452994155826 D2(79,727) = 0.001010461260275847499 C1(79,727) = 1.170899832902086014 C2(79,727) = 1.521969467272795475 C3(79,727) = 5.621799503018056178 C4(79,727) = 5816 Sum = 5320.841741062236159 Averaged sum = 0.5316057289501684642 logp*logq = 28.78997064732193274 -------------- ************************************* p = 79; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3303105225953.092908 -------------- Searches starting with [79,733]-exponents: u = 3, v = 49 n_start has 147 digits starting right neighbors generation We generated 1037 left neighbors We generated 8973 right neighbors We generated 10009 non-negative rho_i D1(79,733) = 0.8535088392286487097 D2(79,733) = 0.004572884171263973926 C1(79,733) = 1.143258331790532421 C2(79,733) = 1.580331819990961615 C3(79,733) = 5.397255794934355494 C4(79,733) = 5864 Sum = 5276.125618382221082 Averaged sum = 0.5271381375144590950 logp*logq = 28.82588411952067055 -------------- ************************************* p = 79; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3422884784154.120504 -------------- Searches starting with [79,739]-exponents: u = 3, v = 41 n_start has 124 digits starting right neighbors generation We generated 667 left neighbors We generated 9343 right neighbors We generated 10009 non-negative rho_i D1(79,739) = 0.7582704005086210143 D2(79,739) = 0.03638846021849313808 C1(79,739) = 1.026135658832461663 C2(79,739) = 1.646426613624391141 C3(79,739) = 4.541136231527737850 C4(79,739) = 5912 Sum = 4922.718523646208886 Averaged sum = 0.4918292060791496539 logp*logq = 28.86150481559200215 -------------- ************************************* p = 79; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3504579423444.656050 -------------- Searches starting with [79,743]-exponents: u = 3, v = 37 n_start has 112 digits starting right neighbors generation We generated 597 left neighbors We generated 9413 right neighbors We generated 10009 non-negative rho_i D1(79,743) = 0.7053309709949906494 D2(79,743) = 0.01336532537089800575 C1(79,743) = 0.9604130924049672877 C2(79,743) = 1.663279272565492931 C3(79,743) = 4.121677936998031951 C4(79,743) = 5944 Sum = 4683.005750733056854 Averaged sum = 0.4678794835381213761 logp*logq = 28.88509163590424587 -------------- ************************************* p = 79; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3672474147231.073274 -------------- Searches starting with [79,751]-exponents: u = 3, v = 31 n_start has 95 digits starting right neighbors generation We generated 422 left neighbors We generated 9588 right neighbors We generated 10009 non-negative rho_i D1(79,751) = 0.6246040682666610904 D2(79,751) = 0.02201978064925248591 C1(79,751) = 0.8600485046901550019 C2(79,751) = 1.720775535375025599 C3(79,751) = 3.554658679126153063 C4(79,751) = 6008 Sum = 4527.577473323594041 Averaged sum = 0.4523506317637720093 logp*logq = 28.93188670541379733 -------------- ************************************* p = 79; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3802413189445.157359 -------------- Searches starting with [79,757]-exponents: u = 3, v = 29 n_start has 90 digits starting right neighbors generation We generated 393 left neighbors We generated 9617 right neighbors We generated 10009 non-negative rho_i D1(79,757) = 1.041581785279508953 D2(79,757) = 0.03635853950100837410 C1(79,757) = 1.447471455462125737 C2(79,757) = 1.764041173308312556 C3(79,757) = 8.452772214888347103 C4(79,757) = 6056 Sum = 3124.830630253146115 Averaged sum = 0.3122020811522775617 logp*logq = 28.96665703095604730 -------------- ************************************* p = 79; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3890988978695.238805 -------------- Searches starting with [79,761]-exponents: u = 3, v = 27 n_start has 84 digits starting right neighbors generation We generated 364 left neighbors We generated 9646 right neighbors We generated 10009 non-negative rho_i D1(79,761) = 0.8471573790801030699 D2(79,761) = 0.01531225578234478338 C1(79,761) = 1.183564569712886898 C2(79,761) = 1.775085840993226915 C3(79,761) = 5.727778126469319013 C4(79,761) = 6088 Sum = 2924.125345427164827 Averaged sum = 0.2921495999028039591 logp*logq = 28.98968447741480687 -------------- ************************************* p = 79; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4072908446341.287701 -------------- Searches starting with [79,769]-exponents: u = 3, v = 23 n_start has 73 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(79,769) = 0.9075954802446093454 D2(79,769) = 0.02290288046416660033 C1(79,769) = 1.219538475563499165 C2(79,769) = 1.820009929136063197 C3(79,769) = 6.039831619981573959 C4(79,769) = 6152 Sum = 4913.729112263012766 Averaged sum = 0.4909310732603669463 logp*logq = 29.03537846615443388 -------------- ************************************* p = 79; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4166291831811.334091 -------------- Searches starting with [79,773]-exponents: u = 3, v = 21 n_start has 67 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(79,773) = 0.7249887556243146875 D2(79,773) = 0.06346164921128139384 C1(79,773) = 1.025689270041849059 C2(79,773) = 1.861368001656682528 C3(79,773) = 4.538147961057228477 C4(79,773) = 6184 Sum = 4150.809584293375895 Averaged sum = 0.4147077214800055845 logp*logq = 29.05804750715673778 -------------- ************************************* p = 79; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4506201160750.649771 -------------- Searches starting with [79,787]-exponents: u = 3, v = 19 n_start has 61 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(79,787) = 0.8319488506817730229 D2(79,787) = 0.1054042939583670551 C1(79,787) = 1.196298490896585072 C2(79,787) = 1.947535159316574156 C3(79,787) = 5.836349996810777236 C4(79,787) = 6296 Sum = 3340.294258555040506 Averaged sum = 0.3337290696927805481 logp*logq = 29.13647559980735085 -------------- ************************************* p = 79; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4761796499758.982843 -------------- Searches starting with [79,797]-exponents: u = 3, v = 17 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(79,797) = 0.7929245187810668253 D2(79,797) = 0.07330653181763016852 C1(79,797) = 1.011404816308582324 C2(79,797) = 1.966350286919827793 C3(79,797) = 4.443554466586439505 C4(79,797) = 6376 Sum = 4184.430881738843052 Averaged sum = 0.4180668280286585125 logp*logq = 29.19164612888415780 -------------- ************************************* p = 79; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5083109002540.152912 -------------- Searches starting with [79,809]-exponents: u = 3, v = 15 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(79,809) = 0.6388880552152435325 D2(79,809) = 0.03059418107088111162 C1(79,809) = 0.8363722398859752792 C2(79,809) = 1.985151758069780282 C3(79,809) = 3.432693257371955482 C4(79,809) = 6472 Sum = 4526.856959000474905 Averaged sum = 0.4522786451194399945 logp*logq = 29.25694419869223469 -------------- ************************************* p = 79; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5138246371397.476990 -------------- Searches starting with [79,811]-exponents: u = 3, v = 15 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(79,811) = 0.8131429397120056319 D2(79,811) = 0.04378950343507853146 C1(79,811) = 1.195595881172752219 C2(79,811) = 1.998752247567551773 C3(79,811) = 5.830306120854978236 C4(79,811) = 6488 Sum = 3907.049235038403910 Averaged sum = 0.3903536052591071945 logp*logq = 29.26773296430304590 -------------- ************************************* p = 79; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5420888183923.537205 -------------- Searches starting with [79,821]-exponents: u = 3, v = 13 n_start has 44 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(79,821) = 0.9122873433152069075 D2(79,821) = 0.1167961938644736009 C1(79,821) = 1.269963699754532798 C2(79,821) = 2.073769726261464560 C3(79,821) = 6.506066295023424747 C4(79,821) = 6568 Sum = 4151.496225203787713 Averaged sum = 0.4147763238289327318 logp*logq = 29.32128078952723192 -------------- ************************************* p = 79; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5478826517163.170990 -------------- Searches starting with [79,823]-exponents: u = 3, v = 13 n_start has 44 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(79,823) = 0.6751764465504743557 D2(79,823) = 0.1331912684440053845 C1(79,823) = 0.8692627265376314330 C2(79,823) = 2.090563983443458075 C3(79,823) = 3.603287691702598435 C4(79,823) = 6584 Sum = 4515.351862515356025 Averaged sum = 0.4511291699985369192 logp*logq = 29.33191205475359847 -------------- ************************************* p = 79; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5596135006428.807046 -------------- Searches starting with [79,827]-exponents: u = 3, v = 13 n_start has 44 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(79,827) = 0.6401907292954292501 D2(79,827) = 0.1514381064117370463 C1(79,827) = 0.8363709062180156141 C2(79,827) = 1.555433303420929495 C3(79,827) = 3.432686506384335850 C4(79,827) = 6616 Sum = 4532.757886966779461 Averaged sum = 0.4528682073100988571 logp*logq = 29.35309729796414229 -------------- ************************************* p = 79; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5655510666529.987759 -------------- Searches starting with [79,829]-exponents: u = 3, v = 13 n_start has 44 digits starting right neighbors generation We generated 111 left neighbors We generated 9899 right neighbors We generated 10009 non-negative rho_i D1(79,829) = 0.8127242290731220690 D2(79,829) = 0.001322294521588847926 C1(79,829) = 1.212824210386558865 C2(79,829) = 2.033596438824578800 C3(79,829) = 5.980325707122630237 C4(79,829) = 6632 Sum = 4139.358992636882487 Averaged sum = 0.4135636919409414014 logp*logq = 29.36365152496150865 -------------- ************************************* p = 79; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5959714026529.016601 -------------- Searches starting with [79,839]-exponents: u = 3, v = 11 n_start has 38 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(79,839) = 0.6137466402296101221 D2(79,839) = 0.05433741863046147062 C1(79,839) = 0.8376006629732410061 C2(79,839) = 2.088639542916778745 C3(79,839) = 3.438917140197058537 C4(79,839) = 6712 Sum = 4367.500892920546595 Averaged sum = 0.4363573676611596158 logp*logq = 29.41604361372862364 -------------- ************************************* p = 79; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6406619775171.549379 -------------- Searches starting with [79,853]-exponents: u = 3, v = 11 n_start has 38 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(79,853) = 0.7187312869827208983 D2(79,853) = 0.1141420391964210544 C1(79,853) = 0.9286125815178806785 C2(79,853) = 1.470661215743011964 C3(79,853) = 3.932857055235423993 C4(79,853) = 6824 Sum = 4539.852754756002335 Averaged sum = 0.4535770561250876546 logp*logq = 29.48835291160382508 -------------- ************************************* p = 79; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6538930985657.437607 -------------- Searches starting with [79,857]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(79,857) = 1.144322262911147808 D2(79,857) = 0.09532243188840038553 C1(79,857) = 1.739921444893667082 C2(79,857) = 1.239040526694013654 C3(79,857) = 13.01043767647061959 C4(79,857) = 6856 Sum = 3864.237116304002376 Averaged sum = 0.3860762430116897168 logp*logq = 29.50879481018642042 -------------- ************************************* p = 79; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6605871613838.439383 -------------- Searches starting with [79,859]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(79,859) = 0.7891405555784785938 D2(79,859) = 0.1171871909060576196 C1(79,859) = 1.199874039148104127 C2(79,859) = 1.407493620386910885 C3(79,859) = 5.867204207171236460 C4(79,859) = 6872 Sum = 4375.066163125035427 Averaged sum = 0.4371132144195259694 logp*logq = 29.51898000792754951 -------------- ************************************* p = 79; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6741337435544.459193 -------------- Searches starting with [79,863]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(79,863) = 0.8369622260660296271 D2(79,863) = 0.1394601932526958722 C1(79,863) = 1.117037970693248993 C2(79,863) = 1.973365060791092807 C3(79,863) = 5.192551177620050591 C4(79,863) = 6904 Sum = 4967.630308815729532 Averaged sum = 0.4963163461700199352 logp*logq = 29.53927945374098676 -------------- ************************************* p = 79; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7232413581194.137640 -------------- Searches starting with [79,877]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(79,877) = 0.6061986151066344695 D2(79,877) = 0.03235524724163529927 C1(79,877) = 0.8126165063637597748 C2(79,877) = 2.170256672235783217 C3(79,877) = 3.314524200112597872 C4(79,877) = 7016 Sum = 4209.373452412656281 Averaged sum = 0.4205588422832107384 logp*logq = 29.60959392504838999 -------------- ************************************* p = 79; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7377660368957.428389 -------------- Searches starting with [79,881]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(79,881) = 0.6921769159002689314 D2(79,881) = 0.04914223937324978913 C1(79,881) = 0.9603145436262717781 C2(79,881) = 2.187843731278924143 C3(79,881) = 4.121079003273733596 C4(79,881) = 7048 Sum = 3810.597780733929667 Averaged sum = 0.3807171326540043628 logp*logq = 29.62947768110195871 -------------- ************************************* p = 79; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7451121920699.100810 -------------- Searches starting with [79,883]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(79,883) = 0.6224865708559217851 D2(79,883) = 0.05775054651971076277 C1(79,883) = 0.8476147654227840475 C2(79,883) = 2.196850691750066357 C3(79,883) = 3.490077001745907547 C4(79,883) = 7064 Sum = 4373.025025613680684 Averaged sum = 0.4369092842055830437 logp*logq = 29.63938573036440085 -------------- ************************************* p = 79; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7599736418412.971668 -------------- Searches starting with [79,887]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(79,887) = 0.6357241764966250418 D2(79,887) = 0.07543871713097034021 C1(79,887) = 0.8456422157259748169 C2(79,887) = 2.215333429685617179 C3(79,887) = 3.479939837034562520 C4(79,887) = 7096 Sum = 4551.309213827327990 Averaged sum = 0.4547216718780425606 logp*logq = 29.65913468083163961 -------------- ************************************* p = 79; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8377430023807.217427 -------------- Searches starting with [79,907]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(79,907) = 0.6750708988874642443 D2(79,907) = 0.08789163594118236276 C1(79,907) = 0.8682453528566355391 C2(79,907) = 2.028200781755034748 C3(79,907) = 3.597885888913759158 C4(79,907) = 7256 Sum = 4149.502413440557037 Averaged sum = 0.4145771219343148204 logp*logq = 29.75656230365008369 -------------- ************************************* p = 79; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8540065794530.453508 -------------- Searches starting with [79,911]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(79,911) = 0.5996425564946185177 D2(79,911) = 0.08312356642823797250 C1(79,911) = 0.8410247351401870680 C2(79,911) = 2.024278661257437621 C3(79,911) = 3.456325046475491226 C4(79,911) = 7288 Sum = 4338.153134153567176 Averaged sum = 0.4334252307077197698 logp*logq = 29.77578982797691958 -------------- ************************************* p = 79; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8872634620163.416055 -------------- Searches starting with [79,919]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(79,919) = 0.6530715454019239369 D2(79,919) = 0.07383044722883829306 C1(79,919) = 0.8564097829948149811 C2(79,919) = 2.016666149405116802 C3(79,919) = 3.535636199661933592 C4(79,919) = 7352 Sum = 4516.694954951484598 Averaged sum = 0.4512633584725231890 logp*logq = 29.81399289409508724 -------------- ************************************* p = 79; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9302290279074.089931 -------------- Searches starting with [79,929]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(79,929) = 0.9130819886553955241 D2(79,929) = 0.05761502858795540574 C1(79,929) = 1.240621018129793191 C2(79,929) = 1.846505551981580366 C3(79,929) = 6.230553817095196939 C4(79,929) = 7432 Sum = 4466.416162176894451 Averaged sum = 0.4462400002174937008 logp*logq = 29.86128175233623141 -------------- ************************************* p = 79; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9657421206727.969828 -------------- Searches starting with [79,937]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(79,937) = 1.057942915989448348 D2(79,937) = 0.04698873333707742578 C1(79,937) = 1.410995547567513279 C2(79,937) = 1.740701818076155807 C3(79,937) = 8.010120059359071242 C4(79,937) = 7496 Sum = 5068.099798620804673 Averaged sum = 0.5063542610271560268 logp*logq = 29.89874777268866375 -------------- ************************************* p = 79; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9838860301093.940386 -------------- Searches starting with [79,941]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(79,941) = 0.9163904007062934782 D2(79,941) = 0.04157205563340987877 C1(79,941) = 1.185374488801196384 C2(79,941) = 1.667728657518830925 C3(79,941) = 5.743085830614139847 C4(79,941) = 7528 Sum = 4502.562505061937844 Averaged sum = 0.4498513842603594609 logp*logq = 29.91736099722514283 -------------- ************************************* p = 79; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10115934856202.81837 -------------- Searches starting with [79,947]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(79,947) = 0.6401511826670029331 D2(79,947) = 0.002081299978964354652 C1(79,947) = 0.8288003684882292276 C2(79,947) = 2.287141431370533486 C3(79,947) = 3.394577821338557482 C4(79,947) = 7576 Sum = 4514.874758165157611 Averaged sum = 0.4510815024642978930 logp*logq = 29.94513300503609540 -------------- ************************************* p = 79; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10398987998687.24339 -------------- Searches starting with [79,953]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(79,953) = 0.8263588039581817030 D2(79,953) = 0.01856671543153790520 C1(79,953) = 1.070876293432614912 C2(79,953) = 2.304798145161215465 C3(79,953) = 4.850847498285551384 C4(79,953) = 7624 Sum = 4340.132622400699207 Averaged sum = 0.4336230015386851041 logp*logq = 29.97272960952262797 -------------- ************************************* p = 79; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11083203204992.30846 -------------- Searches starting with [79,967]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(79,967) = 0.7396137324207617577 D2(79,967) = 0.02559338922173105675 C1(79,967) = 1.194454913438191519 C2(79,967) = 2.124740601880984278 C3(79,967) = 5.820504803680730762 C4(79,967) = 7736 Sum = 4551.311046560571843 Averaged sum = 0.4547218549865692720 logp*logq = 30.03645185339042711 -------------- ************************************* p = 79; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11284924269378.90632 -------------- Searches starting with [79,971]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(79,971) = 0.6275478289234115399 D2(79,971) = 0.02151649154969128301 C1(79,971) = 1.013471701264476275 C2(79,971) = 2.121517313904877906 C3(79,971) = 4.457118656074490297 C4(79,971) = 7768 Sum = 4512.211762259601682 Averaged sum = 0.4508154423278650896 logp*logq = 30.05448881544260205 -------------- ************************************* p = 79; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11592800990350.75944 -------------- Searches starting with [79,977]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(79,977) = 0.6912787336326345684 D2(79,977) = 0.01550133552078837731 C1(79,977) = 0.9492763180015419764 C2(79,977) = 2.116775878326553084 C3(79,977) = 4.054541662612412864 C4(79,977) = 7816 Sum = 3546.952224102878251 Averaged sum = 0.3543762837549084076 logp*logq = 30.08140541710621170 -------------- ************************************* p = 79; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11907114829507.99606 -------------- Searches starting with [79,983]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(79,983) = 0.9186935087823760196 D2(79,983) = 0.009601895417649933072 C1(79,983) = 1.283501056685082655 C2(79,983) = 2.112142214073835648 C3(79,983) = 6.637249863588365010 C4(79,983) = 7864 Sum = 4550.276446586902573 Averaged sum = 0.4546184880194727318 logp*logq = 30.10815722221670938 -------------- ************************************* p = 79; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12336375933752.87542 -------------- Searches starting with [79,991]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 99 left neighbors We generated 9911 right neighbors We generated 10009 non-negative rho_i D1(79,991) = 0.9930956371112437943 D2(79,991) = 0.001907753967855245845 C1(79,991) = 1.423673718234853055 C2(79,991) = 2.106123584056773995 C3(79,991) = 8.161283471593042596 C4(79,991) = 7928 Sum = 3416.655526521707071 Averaged sum = 0.3413583301550311790 logp*logq = 30.14357340681119425 -------------- ************************************* p = 79; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12666076877875.32869 -------------- Searches starting with [79,997]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(79,997) = 0.8533084703056229363 D2(79,997) = 0.1287590709448941252 C1(79,997) = 1.112647750877187568 C2(79,997) = 2.006512346970357587 C3(79,997) = 5.159043291792401767 C4(79,997) = 7976 Sum = 4628.749092665738541 Averaged sum = 0.4624586964397780538 logp*logq = 30.16994842362976764 -------------- ************************************* p = 83; q = 89; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 411191114.9274542674 -------------- Searches starting with [83,89]-exponents: u = 1, v = 63 n_start has 125 digits starting right neighbors generation We generated 659 left neighbors We generated 9351 right neighbors We generated 10009 non-negative rho_i D1(83,89) = 0.7947803002384405384 D2(83,89) = 0.01612110397883648282 C1(83,89) = 1.019179990992158874 C2(83,89) = 1.212376169450894557 C3(83,89) = 4.546585310726163410 C4(83,89) = 712 Sum = 4303.978108786711530 Averaged sum = 0.4300108011576292866 logp*logq = 19.83456866420508364 -------------- ************************************* p = 83; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 601488900.8422414623 -------------- Searches starting with [83,97]-exponents: u = 1, v = 28 n_start has 58 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(83,97) = 0.8189769409838093514 D2(83,97) = 0.006517989712921340004 C1(83,97) = 1.090768993327363237 C2(83,97) = 1.422717766005684280 C3(83,97) = 5.056876233688912135 C4(83,97) = 776 Sum = 5196.752524133455075 Averaged sum = 0.5192079652446253446 logp*logq = 20.21491864074365737 -------------- ************************************* p = 83; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 719079118.8045943739 -------------- Searches starting with [83,101]-exponents: u = 1, v = 22 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(83,101) = 0.9892907361288905519 D2(83,101) = 0.001623432862694362010 C1(83,101) = 1.371087540766574314 C2(83,101) = 1.498023927785079672 C3(83,101) = 7.669626589011504429 C4(83,101) = 808 Sum = 5145.515676168336934 Averaged sum = 0.5140888876179775136 logp*logq = 20.39348194969338006 -------------- ************************************* p = 83; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 784163936.6464972457 -------------- Searches starting with [83,103]-exponents: u = 1, v = 20 n_start has 43 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(83,103) = 0.8157667952061692881 D2(83,103) = 0.07940605753907702810 C1(83,103) = 1.138038775235751130 C2(83,103) = 1.597093036889005174 C3(83,103) = 5.424827198410758371 C4(83,103) = 824 Sum = 4534.714921296070591 Averaged sum = 0.4530637347683155751 logp*logq = 20.48012865932115507 -------------- ************************************* p = 83; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 927947584.5627768533 -------------- Searches starting with [83,107]-exponents: u = 1, v = 17 n_start has 37 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(83,107) = 0.9798404236171557417 D2(83,107) = 0.04141201390845160619 C1(83,107) = 1.301819806973094215 C2(83,107) = 1.630250736878161728 C3(83,107) = 6.919507333070207211 C4(83,107) = 856 Sum = 5334.842938909875734 Averaged sum = 0.5330045897602033903 logp*logq = 20.64848580700311774 -------------- ************************************* p = 83; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1007077619.139430291 -------------- Searches starting with [83,109]-exponents: u = 1, v = 16 n_start has 35 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(83,109) = 0.6496518689891685472 D2(83,109) = 0.04482978022853776298 C1(83,109) = 0.9904555454533194732 C2(83,109) = 1.662786721301745885 C3(83,109) = 4.356615379857541882 C4(83,109) = 872 Sum = 4938.537788568136959 Averaged sum = 0.4934097101177077589 logp*logq = 20.73031852729471185 -------------- ************************************* p = 83; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1180936095.418560749 -------------- Searches starting with [83,113]-exponents: u = 1, v = 14 n_start has 31 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(83,113) = 0.8474147311473034898 D2(83,113) = 0.1666642801060874601 C1(83,113) = 1.176292322320498251 C2(83,113) = 1.819480430413997209 C3(83,113) = 5.742106479390893994 C4(83,113) = 904 Sum = 4340.901663083335564 Averaged sum = 0.4336998364555235852 logp*logq = 20.88957326212907228 -------------- ************************************* p = 83; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1978669744.017563160 -------------- Searches starting with [83,127]-exponents: u = 1, v = 10 n_start has 23 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(83,127) = 0.6738298815511087406 D2(83,127) = 0.05736429655191388941 C1(83,127) = 0.9214716986589058389 C2(83,127) = 1.891436149996441043 C3(83,127) = 3.932179809436729599 C4(83,127) = 1016 Sum = 4724.137060394720468 Averaged sum = 0.4719889160150584941 logp*logq = 21.40569060940711232 -------------- ************************************* p = 83; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2269260632.394984451 -------------- Searches starting with [83,131]-exponents: u = 1, v = 9 n_start has 21 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(83,131) = 0.7669636488993792323 D2(83,131) = 0.1238687785614884831 C1(83,131) = 1.095801600852149009 C2(83,131) = 1.696915407080086541 C3(83,131) = 5.094832471152252594 C4(83,131) = 1048 Sum = 4220.610469660226806 Averaged sum = 0.4216815335857954646 logp*logq = 21.54271990278252374 -------------- ************************************* p = 83; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2765843544.100036522 -------------- Searches starting with [83,137]-exponents: u = 1, v = 8 n_start has 20 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(83,137) = 0.9229710637180362130 D2(83,137) = 0.09980669015035865560 C1(83,137) = 1.215876524301685379 C2(83,137) = 1.724974833317216251 C3(83,137) = 6.089971457027083619 C4(83,137) = 1096 Sum = 5029.747661230679132 Averaged sum = 0.5025224958767788122 logp*logq = 21.74061150463402007 -------------- ************************************* p = 83; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2948769476.987223887 -------------- Searches starting with [83,139]-exponents: u = 1, v = 8 n_start has 20 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(83,139) = 0.8951489796780236393 D2(83,139) = 0.09133365980210112182 C1(83,139) = 1.211481639239152564 C2(83,139) = 1.719350465563869995 C3(83,139) = 6.050331927915318240 C4(83,139) = 1112 Sum = 4723.007403714791284 Averaged sum = 0.4718760519247468562 logp*logq = 21.80465379383169506 -------------- ************************************* p = 83; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4008332418.132522306 -------------- Searches starting with [83,149]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(83,149) = 0.6912525339770576141 D2(83,149) = 0.05482743902393800726 C1(83,149) = 0.9277079889511641684 C2(83,149) = 1.749364813715407170 C3(83,149) = 3.968786154980459516 C4(83,149) = 1192 Sum = 4458.976917656411374 Averaged sum = 0.4454967446954152636 logp*logq = 22.11164113594557362 -------------- ************************************* p = 83; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4251594319.752145917 -------------- Searches starting with [83,151]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(83,151) = 0.8497632888013346710 D2(83,151) = 0.04320934877735108495 C1(83,151) = 1.118906413608390488 C2(83,151) = 1.581564056845205724 C3(83,151) = 5.272779818033617801 C4(83,151) = 1208 Sum = 4952.645715124023847 Averaged sum = 0.4948192342016209258 logp*logq = 22.17055988359687587 -------------- ************************************* p = 83; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5050455568.122723702 -------------- Searches starting with [83,157]-exponents: u = 8, v = 6 n_start has 29 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(83,157) = 0.8765214555661452550 D2(83,157) = 0.02848628440830557471 C1(83,157) = 1.502845089365097601 C2(83,157) = 1.799501817974042463 C3(83,157) = 9.328213220779603410 C4(83,157) = 1256 Sum = 5076.190525906928406 Averaged sum = 0.5071626062450722756 logp*logq = 22.34274428767431633 -------------- ************************************* p = 83; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5960798188.472648904 -------------- Searches starting with [83,163]-exponents: u = 8, v = 6 n_start has 29 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(83,163) = 0.7247462646664719802 D2(83,163) = 0.009129361899158746355 C1(83,163) = 0.9684511862923727922 C2(83,163) = 1.787982819821859720 C3(83,163) = 4.216475914709994058 C4(83,163) = 1304 Sum = 4956.769948451884928 Averaged sum = 0.4952312866871700398 logp*logq = 22.50847023329699640 -------------- ************************************* p = 83; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6634830040.204619346 -------------- Searches starting with [83,167]-exponents: u = 22, v = 6 n_start has 56 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(83,167) = 0.7968041674754251790 D2(83,167) = 0.1111455686966019988 C1(83,167) = 1.024073150674900775 C2(83,167) = 1.720910358774187002 C3(83,167) = 4.579762336668039980 C4(83,167) = 1336 Sum = 4494.954019690236884 Averaged sum = 0.4490912198711396626 logp*logq = 22.61559888875888152 -------------- ************************************* p = 83; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7754771448.075824306 -------------- Searches starting with [83,173]-exponents: u = 421, v = 6 n_start has 822 digits --- performed 5000 steps in the continued fraction search [83,173]-exponents: u = 337, v = 66 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,173) = 0.6711834485489251786 D2(83,173) = 0.3838128379261843606 C1(83,173) = 0.8362267856512584838 C2(83,173) = 1.349548966727623305 C3(83,173) = 3.464368777577233093 C4(83,173) = 1384 Sum = 5848.870097753783842 Averaged sum = 0.5849455043258109652 logp*logq = 22.77157416158366477 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,173) = 0.6711834485489251786 D2(83,173) = 0.3838128379261843606 C1(83,173) = 0.8362267856512584838 C2(83,173) = 1.349548966727623305 C3(83,173) = 3.464368777577233093 C4(83,173) = 1384 Sum = 5848.870097753783842 Averaged sum = 0.5849455043258109652 logp*logq = 22.77157416158366477 -------------- ************************************* p = 83; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9015679337.894302697 -------------- Searches starting with [83,179]-exponents: u = 7, v = 17 n_start has 52 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(83,179) = 1.410392239337155042 D2(83,179) = 0.05317120271265408700 C1(83,179) = 2.046245886335627907 C2(83,179) = 1.601192523996294125 C3(83,179) = 20.91507993549895218 C4(83,179) = 1432 Sum = 5790.762628297651017 Averaged sum = 0.5785555628232241999 logp*logq = 22.92223104715680672 -------------- ************************************* p = 83; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9469384821.537791540 -------------- Searches starting with [83,181]-exponents: u = 7, v = 17 n_start has 52 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(83,181) = 1.349255572138041831 D2(83,181) = 0.08121090724233872529 C1(83,181) = 2.018489672492416041 C2(83,181) = 1.631263757666180066 C3(83,181) = 20.07003882283461583 C4(83,181) = 1448 Sum = 3694.156105299275869 Averaged sum = 0.3690834354380333569 logp*logq = 22.97132978126749136 -------------- ************************************* p = 83; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12009443158.03225142 -------------- Searches starting with [83,191]-exponents: u = 19, v = 5 n_start has 48 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(83,191) = 0.7280530422375962984 D2(83,191) = 0.05500316423992098135 C1(83,191) = 0.9891628167935484072 C2(83,191) = 1.758254682345456384 C3(83,191) = 4.348255067106856370 C4(83,191) = 1528 Sum = 4344.384506715069428 Averaged sum = 0.4340478076446267787 logp*logq = 23.20895910710349088 -------------- ************************************* p = 83; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12575157943.66393602 -------------- Searches starting with [83,193]-exponents: u = 25, v = 5 n_start has 60 digits starting right neighbors generation We generated 371 left neighbors We generated 9639 right neighbors We generated 10009 non-negative rho_i D1(83,193) = 0.6548092149077336213 D2(83,193) = 0.02329660524404797887 C1(83,193) = 0.8634479554264533783 C2(83,193) = 1.728745153120320456 C3(83,193) = 3.607365634575829938 C4(83,193) = 1544 Sum = 4530.721631972099569 Averaged sum = 0.4526647649087920441 logp*logq = 23.25498911298565721 -------------- ************************************* p = 83; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13768306753.82631511 -------------- Searches starting with [83,197]-exponents: u = 49, v = 5 n_start has 106 digits starting right neighbors generation We generated 1180 left neighbors We generated 8830 right neighbors We generated 10009 non-negative rho_i D1(83,197) = 0.8595320344573615275 D2(83,197) = 0.01001801060186437322 C1(83,197) = 1.178240449477213198 C2(83,197) = 1.606474499840238918 C3(83,197) = 5.758752109099149178 C4(83,197) = 1576 Sum = 5229.724907430100448 Averaged sum = 0.5225022387281547056 logp*logq = 23.34563517580982560 -------------- ************************************* p = 83; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14396778582.28691113 -------------- Searches starting with [83,199]-exponents: u = 109, v = 5 n_start has 221 digits starting right neighbors generation We generated 5250 left neighbors We generated 4760 right neighbors We generated 10009 non-negative rho_i D1(83,199) = 0.7481591981379496276 D2(83,199) = 0.001895612638859932262 C1(83,199) = 0.9824464582909357593 C2(83,199) = 1.466121303874504755 C3(83,199) = 4.305076662979872711 C4(83,199) = 1592 Sum = 5089.750726201002506 Averaged sum = 0.5085174069538417929 logp*logq = 23.39027030893824022 -------------- ************************************* p = 83; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18648061700.56588593 -------------- Searches starting with [83,211]-exponents: u = 6, v = 14 n_start has 45 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(83,211) = 0.6945596226092549965 D2(83,211) = 0.002833420402069069782 C1(83,211) = 0.9145455288697546513 C2(83,211) = 1.648569320597538631 C3(83,211) = 3.891919544741977233 C4(83,211) = 1688 Sum = 4786.349620504351429 Averaged sum = 0.4782045779302978748 logp*logq = 23.64900804737054777 -------------- ************************************* p = 83; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23811397678.83663093 -------------- Searches starting with [83,223]-exponents: u = 11, v = 4 n_start has 31 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(83,223) = 0.8209772759870887165 D2(83,223) = 0.08558989869635380308 C1(83,223) = 1.090111182481927945 C2(83,223) = 1.311167826643685083 C3(83,223) = 5.051935924954699231 C4(83,223) = 1784 Sum = 4452.487502860226993 Averaged sum = 0.4448483867379585366 logp*logq = 23.89343019705943826 -------------- ************************************* p = 83; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25757442012.98310830 -------------- Searches starting with [83,227]-exponents: u = 11, v = 4 n_start has 31 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(83,227) = 0.6678818406764875665 D2(83,227) = 0.04146888694796682464 C1(83,227) = 0.9689860954459147279 C2(83,227) = 1.870899892632633381 C3(83,227) = 4.219828541569290072 C4(83,227) = 1816 Sum = 4552.045044192763455 Averaged sum = 0.4547951887494018838 logp*logq = 23.97198943251368593 -------------- ************************************* p = 83; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26775454844.25991092 -------------- Searches starting with [83,229]-exponents: u = 11, v = 4 n_start has 31 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(83,229) = 0.6587376443153138572 D2(83,229) = 0.01867880885305467078 C1(83,229) = 0.8757281395700308933 C2(83,229) = 1.850053989126977442 C3(83,229) = 3.673792886255281428 C4(83,229) = 1832 Sum = 4797.158727837886916 Averaged sum = 0.4792845167187418239 logp*logq = 24.01075144078336415 -------------- ************************************* p = 83; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28904700713.28388863 -------------- Searches starting with [83,233]-exponents: u = 16, v = 4 n_start has 41 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(83,233) = 0.7253653530025566005 D2(83,233) = 0.1266981327989054563 C1(83,233) = 0.9354677375854958364 C2(83,233) = 1.832571683125774166 C3(83,233) = 4.014811222820134893 C4(83,233) = 1864 Sum = 4567.907738474498448 Averaged sum = 0.4563800318188129132 logp*logq = 24.08727007327688751 -------------- ************************************* p = 83; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32341579501.45429952 -------------- Searches starting with [83,239]-exponents: u = 26, v = 4 n_start has 60 digits starting right neighbors generation We generated 325 left neighbors We generated 9685 right neighbors We generated 10009 non-negative rho_i D1(83,239) = 0.6556175211244194960 D2(83,239) = 0.005570326478524100238 C1(83,239) = 0.8513618142880492026 C2(83,239) = 1.716845752513923759 C3(83,239) = 3.543160910841553559 C4(83,239) = 1912 Sum = 4749.816985449339992 Averaged sum = 0.4745545994054690770 logp*logq = 24.19961953039295211 -------------- ************************************* p = 83; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33554721315.81412058 -------------- Searches starting with [83,241]-exponents: u = 31, v = 4 n_start has 70 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(83,241) = 0.7783793359207778724 D2(83,241) = 0.04166789198266497814 C1(83,241) = 1.101138921511692459 C2(83,241) = 1.667563641891069872 C3(83,241) = 5.135398212259942320 C4(83,241) = 1928 Sum = 4463.241647507505558 Averaged sum = 0.4459228341999705823 logp*logq = 24.23644341522676240 -------------- ************************************* p = 83; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40158333859.40318223 -------------- Searches starting with [83,251]-exponents: u = 5, v = 579 n_start has 1400 digits --- performed 5000 steps in the continued fraction search [83,251]-exponents: u = 484, v = 189 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,251) = 0.7059678179595232880 D2(83,251) = 0.4185526710548070643 C1(83,251) = 0.8652715375177293718 C2(83,251) = 1.362838339087056072 C3(83,251) = 3.617153476925403752 C4(83,251) = 2008 Sum = 6039.090902879242554 Averaged sum = 0.6039694872366479202 logp*logq = 24.41609582390459030 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,251) = 0.7059678179595232880 D2(83,251) = 0.4185526710548070643 C1(83,251) = 0.8652715375177293718 C2(83,251) = 1.362838339087056072 C3(83,251) = 3.617153476925403752 C4(83,251) = 2008 Sum = 6039.090902879242554 Averaged sum = 0.6039694872366479202 logp*logq = 24.41609582390459030 -------------- ************************************* p = 83; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44576949708.22255108 -------------- Searches starting with [83,257]-exponents: u = 5, v = 43 n_start has 114 digits starting right neighbors generation We generated 1131 left neighbors We generated 8879 right neighbors We generated 10009 non-negative rho_i D1(83,257) = 0.9025155234465566002 D2(83,257) = 0.03090286480519969828 C1(83,257) = 1.238700726729563332 C2(83,257) = 1.575171229433405150 C3(83,257) = 6.300048680318180383 C4(83,257) = 2056 Sum = 3861.511122218506931 Averaged sum = 0.3858038887220008922 logp*logq = 24.52048273968795907 -------------- ************************************* p = 83; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49362680011.81463501 -------------- Searches starting with [83,263]-exponents: u = 5, v = 19 n_start has 56 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(83,263) = 0.8908800250033031441 D2(83,263) = 0.05775999677118545939 C1(83,263) = 1.283996199726332455 C2(83,263) = 1.735348952512720059 C3(83,263) = 6.738658557552155139 C4(83,263) = 2104 Sum = 4404.344403497120987 Averaged sum = 0.4400384057845060433 logp*logq = 24.62246051028465697 -------------- ************************************* p = 83; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54536597831.24097818 -------------- Searches starting with [83,269]-exponents: u = 5, v = 15 n_start has 47 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(83,269) = 0.7381772401551345296 D2(83,269) = 0.04218048314659193573 C1(83,269) = 1.110746145526745075 C2(83,269) = 1.827302960479654295 C3(83,269) = 5.209232570711952803 C4(83,269) = 2152 Sum = 4601.900824727248567 Averaged sum = 0.4597762838172892963 logp*logq = 24.72213783308633360 -------------- ************************************* p = 83; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56351242980.46598887 -------------- Searches starting with [83,271]-exponents: u = 5, v = 11 n_start has 37 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(83,271) = 0.6875279004258646190 D2(83,271) = 0.06956137549203871678 C1(83,271) = 0.9271885610381193240 C2(83,271) = 1.855989043775614327 C3(83,271) = 3.965724203091682994 C4(83,271) = 2168 Sum = 4303.387954691638996 Averaged sum = 0.4299518388142310916 logp*logq = 24.75487013540481802 -------------- ************************************* p = 83; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62076723657.90548539 -------------- Searches starting with [83,277]-exponents: u = 5, v = 7 n_start has 27 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(83,277) = 1.882557357377611319 D2(83,277) = 0.09010032714879051818 C1(83,277) = 2.942499980390442344 C2(83,277) = 1.074250336290477150 C3(83,277) = 79.21725095304779927 C4(83,277) = 2216 Sum = 5058.203241962164084 Averaged sum = 0.5053654952504909665 logp*logq = 24.85163693529956578 -------------- ************************************* p = 83; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66136761171.19193854 -------------- Searches starting with [83,281]-exponents: u = 5, v = 7 n_start has 27 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(83,281) = 0.8201198470218887325 D2(83,281) = 0.1195992401880797001 C1(83,281) = 1.157595674269673469 C2(83,281) = 1.829392237968136014 C3(83,281) = 5.584780887958559729 C4(83,281) = 2248 Sum = 4262.536052687128242 Averaged sum = 0.4258703219789317856 logp*logq = 24.91499057401151504 -------------- ************************************* p = 83; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68242269723.03523518 -------------- Searches starting with [83,283]-exponents: u = 5, v = 7 n_start has 27 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(83,283) = 0.9029893091196640198 D2(83,283) = 0.1029192940769421096 C1(83,283) = 1.330926871337093625 C2(83,283) = 1.814106800446398617 C3(83,283) = 7.225338616840322678 C4(83,283) = 2264 Sum = 3676.323254412345275 Averaged sum = 0.3673017538627580453 logp*logq = 24.94633000046526229 -------------- ************************************* p = 83; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79560007405.95293379 -------------- Searches starting with [83,293]-exponents: u = 5, v = 7 n_start has 27 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(83,293) = 1.298015194915640501 D2(83,293) = 0.01725038908641789067 C1(83,293) = 2.175884440029594514 C2(83,293) = 0.9866446646821647382 C3(83,293) = 25.35808003173804659 C4(83,293) = 2344 Sum = 3524.339138253637532 Averaged sum = 0.3521170085176978251 logp*logq = 25.09977738401856507 -------------- ************************************* p = 83; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97784056742.64551114 -------------- Searches starting with [83,307]-exponents: u = 9, v = 3 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(83,307) = 0.8478770579994997196 D2(83,307) = 0.09988914686993053020 C1(83,307) = 1.095507026638982935 C2(83,307) = 1.848347421183717180 C3(83,307) = 5.092602945074294899 C4(83,307) = 2456 Sum = 4482.151641751522300 Averaged sum = 0.4478121332552225297 logp*logq = 25.30602738170678808 -------------- ************************************* p = 83; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103540637007.0143060 -------------- Searches starting with [83,311]-exponents: u = 9, v = 3 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(83,311) = 0.7491447056572993422 D2(83,311) = 0.1082902300475989715 C1(83,311) = 1.183263403660487801 C2(83,311) = 1.348718074575883272 C3(83,311) = 5.801893312012957751 C4(83,311) = 2488 Sum = 4753.151239658724776 Averaged sum = 0.4748877250133604532 logp*logq = 25.36323000068069177 -------------- ************************************* p = 83; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106515462463.6367148 -------------- Searches starting with [83,313]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(83,313) = 1.002234552138955690 D2(83,313) = 0.08231903482135175351 C1(83,313) = 1.582829885081654316 C2(83,313) = 1.152282997936827704 C3(83,313) = 10.50541758157683657 C4(83,313) = 2504 Sum = 4182.349711048192225 Averaged sum = 0.4178588980965323434 logp*logq = 25.39155599900920083 -------------- ************************************* p = 83; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112663238380.2600996 -------------- Searches starting with [83,317]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(83,317) = 0.7074219546684918606 D2(83,317) = 0.07858592164001965105 C1(83,317) = 0.9147932260132311660 C2(83,317) = 1.959481895099811294 C3(83,317) = 3.893352219928792942 C4(83,317) = 2536 Sum = 4431.712559100338133 Averaged sum = 0.4427727604256507276 logp*logq = 25.44766901472078861 -------------- ************************************* p = 83; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136369818838.4169099 -------------- Searches starting with [83,331]-exponents: u = 21, v = 3 n_start has 48 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(83,331) = 1.019584854731357319 D2(83,331) = 0.05651984734538343484 C1(83,331) = 1.321537046737070815 C2(83,331) = 1.843543264522977306 C3(83,331) = 7.125229759166328804 C4(83,331) = 2648 Sum = 4666.202382183745691 Averaged sum = 0.4662006576265107094 logp*logq = 25.63863628835898993 -------------- ************************************* p = 83; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147636468239.0041070 -------------- Searches starting with [83,337]-exponents: u = 25, v = 3 n_start has 56 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(83,337) = 0.9336804060001762386 D2(83,337) = 0.07212900486051797758 C1(83,337) = 1.281471862820080611 C2(83,337) = 1.787425715810528552 C3(83,337) = 6.713430169680573669 C4(83,337) = 2696 Sum = 4883.209456791640285 Averaged sum = 0.4878818520123529108 logp*logq = 25.71801879338483478 -------------- ************************************* p = 83; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168000680312.4064316 -------------- Searches starting with [83,347]-exponents: u = 45, v = 3 n_start has 94 digits starting right neighbors generation We generated 655 left neighbors We generated 9355 right neighbors We generated 10009 non-negative rho_i D1(83,347) = 0.6788000492157985302 D2(83,347) = 0.01115060242496759217 C1(83,347) = 0.8722091674355761323 C2(83,347) = 1.626488211833943752 C3(83,347) = 3.654633634477789800 C4(83,347) = 2776 Sum = 4152.860979228723156 Averaged sum = 0.4149126765140097069 logp*logq = 25.84723386582008068 -------------- ************************************* p = 83; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172321812995.7150493 -------------- Searches starting with [83,349]-exponents: u = 53, v = 3 n_start has 110 digits starting right neighbors generation We generated 891 left neighbors We generated 9119 right neighbors We generated 10009 non-negative rho_i D1(83,349) = 0.9972665672541930461 D2(83,349) = 0.01126740839872473744 C1(83,349) = 1.370492476632429633 C2(83,349) = 1.588336603628527964 C3(83,349) = 7.662848161226285192 C4(83,349) = 2792 Sum = 3708.745806529030369 Averaged sum = 0.3705410936686012957 logp*logq = 25.87262957139776816 -------------- ************************************* p = 83; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 181221753235.5296486 -------------- Searches starting with [83,353]-exponents: u = 77, v = 3 n_start has 156 digits starting right neighbors generation We generated 1815 left neighbors We generated 8195 right neighbors We generated 10009 non-negative rho_i D1(83,353) = 0.9296030681443245507 D2(83,353) = 0.001919963806795179926 C1(83,353) = 1.247590642321791558 C2(83,353) = 1.493084116778150797 C3(83,353) = 6.383820130319478112 C4(83,353) = 2824 Sum = 4208.838029349636347 Averaged sum = 0.4205053481216541459 logp*logq = 25.92298727431845592 -------------- ************************************* p = 83; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 195233844383.9680069 -------------- Searches starting with [83,359]-exponents: u = 229, v = 3 n_start has 448 digits --- performed 5000 steps in the continued fraction search [83,359]-exponents: u = 82, v = 90 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,359) = 0.5880258398826585706 D2(83,359) = 0.09669197275024463358 C1(83,359) = 0.7488243274585367566 C2(83,359) = 1.298515701759656023 C3(83,359) = 3.042443914244627580 C4(83,359) = 2872 Sum = 5333.699433735516505 Averaged sum = 0.5334232857021218627 logp*logq = 25.99746387901087843 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,359) = 0.5880258398826585706 D2(83,359) = 0.09669197275024463358 C1(83,359) = 0.7488243274585367566 C2(83,359) = 1.298515701759656023 C3(83,359) = 3.042443914244627580 C4(83,359) = 2872 Sum = 5333.699433735516505 Averaged sum = 0.5334232857021218627 logp*logq = 25.99746387901087843 -------------- ************************************* p = 83; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 215204104480.3634251 -------------- Searches starting with [83,367]-exponents: u = 4, v = 107 n_start has 283 digits --- performed 5000 steps in the continued fraction search [83,367]-exponents: u = 59, v = 22 --- starting right neighbors generation We generated 5712 left neighbors We generated 4298 right neighbors We generated 10009 non-negative rho_i D1(83,367) = 0.6012999323805312282 D2(83,367) = 0.007197639029818437445 C1(83,367) = 0.7813305111497064180 C2(83,367) = 1.355327496562365496 C3(83,367) = 3.193001277658881648 C4(83,367) = 2936 Sum = 5037.669265751248638 Averaged sum = 0.5033139440255019120 logp*logq = 26.09485273791629806 -------------- ************************************* p = 83; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 231191262938.9428133 -------------- Searches starting with [83,373]-exponents: u = 4, v = 47 n_start has 129 digits starting right neighbors generation We generated 1082 left neighbors We generated 8928 right neighbors We generated 10009 non-negative rho_i D1(83,373) = 0.7187373739305741408 D2(83,373) = 0.03332064400363918350 C1(83,373) = 0.9727287319983891117 C2(83,373) = 1.548000564225579808 C3(83,373) = 4.243360797402349056 C4(83,373) = 2984 Sum = 4923.381247327686405 Averaged sum = 0.4918954188557984219 logp*logq = 26.16651118297409567 -------------- ************************************* p = 83; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 248082228150.9776322 -------------- Searches starting with [83,379]-exponents: u = 4, v = 32 n_start has 91 digits starting right neighbors generation We generated 533 left neighbors We generated 9477 right neighbors We generated 10009 non-negative rho_i D1(83,379) = 0.8971580440609092369 D2(83,379) = 0.05866800511703276038 C1(83,379) = 1.251588424344561468 C2(83,379) = 1.672068011814086932 C3(83,379) = 6.421854240164243446 C4(83,379) = 3032 Sum = 3321.116311551104872 Averaged sum = 0.3318129994556004468 logp*logq = 26.23702609328073434 -------------- ************************************* p = 83; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 259862516856.4474879 -------------- Searches starting with [83,383]-exponents: u = 4, v = 26 n_start has 75 digits starting right neighbors generation We generated 423 left neighbors We generated 9587 right neighbors We generated 10009 non-negative rho_i D1(83,383) = 0.9025744371802911903 D2(83,383) = 0.003284246793670224708 C1(83,383) = 1.279792232366692452 C2(83,383) = 1.716339027443268968 C3(83,383) = 6.696696185528163683 C4(83,383) = 3064 Sum = 3028.197429828828677 Averaged sum = 0.3025474502776329980 logp*logq = 26.28341854678643648 -------------- ************************************* p = 83; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278339261414.6711557 -------------- Searches starting with [83,389]-exponents: u = 4, v = 20 n_start has 60 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(83,389) = 0.7455085735385117325 D2(83,389) = 0.004418546443959486945 C1(83,389) = 0.9622024517135169190 C2(83,389) = 1.788397633071618394 C3(83,389) = 4.177507741598696543 C4(83,389) = 3112 Sum = 4481.539759008152309 Averaged sum = 0.4477510000008144979 logp*logq = 26.35210657139817172 -------------- ************************************* p = 83; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 304537671255.1422905 -------------- Searches starting with [83,397]-exponents: u = 4, v = 14 n_start has 45 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(83,397) = 0.9622397024717014491 D2(83,397) = 0.1196085423942368957 C1(83,397) = 1.304749894331540073 C2(83,397) = 1.906948915932524347 C3(83,397) = 6.949698816681348501 C4(83,397) = 3176 Sum = 5211.880651913459557 Averaged sum = 0.5207194177154020938 logp*logq = 26.44206063156789808 -------------- ************************************* p = 83; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 318331826916.6163198 -------------- Searches starting with [83,401]-exponents: u = 4, v = 14 n_start has 45 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(83,401) = 0.7356775904745601333 D2(83,401) = 0.01785460436866335492 C1(83,401) = 0.9578586698935006569 C2(83,401) = 1.898389135189043592 C3(83,401) = 4.150631567512638820 C4(83,401) = 3208 Sum = 4427.671367760712496 Averaged sum = 0.4423690046718665697 logp*logq = 26.48636015654872379 -------------- ************************************* p = 83; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 347367361389.2675740 -------------- Searches starting with [83,409]-exponents: u = 4, v = 11 n_start has 37 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(83,409) = 0.6528054080818439272 D2(83,409) = 0.1022043377699429777 C1(83,409) = 0.9020519291618083718 C2(83,409) = 1.986157408368778287 C3(83,409) = 3.820336605100307743 C4(83,409) = 3272 Sum = 4321.825155419811181 Averaged sum = 0.4317939010310531702 logp*logq = 26.57364873524378679 -------------- ************************************* p = 83; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 386496715000.5968633 -------------- Searches starting with [83,419]-exponents: u = 4, v = 8 n_start has 29 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(83,419) = 0.6698916985837324196 D2(83,419) = 0.1286908496132587265 C1(83,419) = 0.8617763401555594454 C2(83,419) = 1.875991824448868650 C3(83,419) = 3.598416723019709063 C4(83,419) = 3352 Sum = 4400.177218378501914 Averaged sum = 0.4396220619820663317 logp*logq = 26.68038920558614292 -------------- ************************************* p = 83; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 394715600378.0125447 -------------- Searches starting with [83,421]-exponents: u = 4, v = 8 n_start has 29 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(83,421) = 0.6344114436347443003 D2(83,421) = 0.1201264546437990789 C1(83,421) = 0.8586032416225813187 C2(83,421) = 1.868332015961192102 C3(83,421) = 3.581490714009012174 C4(83,421) = 3368 Sum = 4368.345701842606978 Averaged sum = 0.4364417725889306602 logp*logq = 26.70143134348073312 -------------- ************************************* p = 83; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 437859867901.2936510 -------------- Searches starting with [83,431]-exponents: u = 4, v = 8 n_start has 29 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(83,431) = 0.6457011697986801985 D2(83,431) = 0.04797979648003640938 C1(83,431) = 1.046085173599168905 C2(83,431) = 2.074071518374716224 C3(83,431) = 4.732029932473431081 C4(83,431) = 3448 Sum = 4638.459038240704681 Averaged sum = 0.4634288178879712939 logp*logq = 26.80516475983390468 -------------- ************************************* p = 83; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 446909697341.1370874 -------------- Searches starting with [83,433]-exponents: u = 4, v = 8 n_start has 29 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(83,433) = 1.137313468051749389 D2(83,433) = 0.05288415516545211746 C1(83,433) = 1.475943161748692045 C2(83,433) = 1.314528661894216971 C3(83,433) = 8.962691051124106482 C4(83,433) = 3464 Sum = 5236.254040263061222 Averaged sum = 0.5231545649178800302 logp*logq = 26.82562239178026020 -------------- ************************************* p = 83; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 474929915895.0937559 -------------- Searches starting with [83,439]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(83,439) = 0.6804536854119729875 D2(83,439) = 0.05795546476241869889 C1(83,439) = 1.102102926837103132 C2(83,439) = 1.989234802228930875 C3(83,439) = 5.142759395020489723 C4(83,439) = 3512 Sum = 4231.413828953461197 Averaged sum = 0.4227608980870677587 logp*logq = 26.88643308461113350 -------------- ************************************* p = 83; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 494351948250.8674647 -------------- Searches starting with [83,443]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(83,443) = 0.6176864479075452758 D2(83,443) = 0.04353570604770884645 C1(83,443) = 0.8665053032005753981 C2(83,443) = 1.976718682852032673 C3(83,443) = 3.623790613086492180 C4(83,443) = 3544 Sum = 4410.535936913159504 Averaged sum = 0.4406570023891657013 logp*logq = 26.92651354631722261 -------------- ************************************* p = 83; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 524630860355.5340550 -------------- Searches starting with [83,449]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(83,449) = 0.7732918270796836800 D2(83,449) = 0.02299736563299237067 C1(83,449) = 1.012064228632378866 C2(83,449) = 1.959003171215121186 C3(83,449) = 4.498766823023374385 C4(83,449) = 3592 Sum = 4583.116309953095711 Averaged sum = 0.4578995214260261476 logp*logq = 26.98596072909871757 -------------- ************************************* p = 83; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 567212402199.7411202 -------------- Searches starting with [83,457]-exponents: u = 18, v = 5 n_start has 48 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(83,457) = 0.6794249118999818527 D2(83,457) = 0.1607345895205893836 C1(83,457) = 0.9104706013357025775 C2(83,457) = 1.943715522809256919 C3(83,457) = 3.868425781977283510 C4(83,457) = 3656 Sum = 4686.884845994953573 Averaged sum = 0.4682670442596616617 logp*logq = 27.06399967758067584 -------------- ************************************* p = 83; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 589481006173.8376459 -------------- Searches starting with [83,461]-exponents: u = 18, v = 5 n_start has 48 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(83,461) = 0.7021447248220460385 D2(83,461) = 0.1168907910006411389 C1(83,461) = 0.9323236926946304768 C2(83,461) = 1.901629956398744843 C3(83,461) = 3.996099111702136809 C4(83,461) = 3688 Sum = 4726.804684426794295 Averaged sum = 0.4722554385479862419 logp*logq = 27.10250833617377459 -------------- ************************************* p = 83; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 600865856559.2002412 -------------- Searches starting with [83,463]-exponents: u = 25, v = 5 n_start has 62 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(83,463) = 1.023505937701537573 D2(83,463) = 0.09704981287800273428 C1(83,463) = 1.495970356664249308 C2(83,463) = 1.882662299888341300 C3(83,463) = 9.233410462643392842 C4(83,463) = 3704 Sum = 3066.430113961767647 Averaged sum = 0.3063672808434176888 logp*logq = 27.12163754616803703 -------------- ************************************* p = 83; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 624145475947.6159162 -------------- Searches starting with [83,467]-exponents: u = 25, v = 5 n_start has 62 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(83,467) = 0.6602906905501089172 D2(83,467) = 0.06060197277269130203 C1(83,467) = 0.9434010475213662957 C2(83,467) = 1.847949681415628352 C3(83,467) = 4.062417557476427517 C4(83,467) = 3736 Sum = 4433.537322649377323 Averaged sum = 0.4429550726995081749 logp*logq = 27.15964931267564273 -------------- ************************************* p = 83; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 698192869588.2878471 -------------- Searches starting with [83,479]-exponents: u = 81, v = 5 n_start has 169 digits starting right neighbors generation We generated 2643 left neighbors We generated 7367 right neighbors We generated 10009 non-negative rho_i D1(83,479) = 0.7238022020868872947 D2(83,479) = 0.00006992077976089079232 C1(83,479) = 0.9334522730408764482 C2(83,479) = 1.693236096925490995 C3(83,479) = 4.002805919959278554 C4(83,479) = 3832 Sum = 4318.620196484744797 Averaged sum = 0.4314736933244824455 logp*logq = 27.27176121900187519 -------------- ************************************* p = 83; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 751211293631.4691525 -------------- Searches starting with [83,487]-exponents: u = 7, v = 467 n_start has 1269 digits --- performed 5000 steps in the continued fraction search [83,487]-exponents: u = 499, v = 108 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,487) = 0.7561923576391278395 D2(83,487) = 0.4359049569072642259 C1(83,487) = 0.9295057372501815798 C2(83,487) = 1.475279714176504571 C3(83,487) = 3.979401881697733752 C4(83,487) = 3896 Sum = 5846.591363905940949 Averaged sum = 0.5847176081514092359 logp*logq = 27.34495279884815213 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,487) = 0.7561923576391278395 D2(83,487) = 0.4359049569072642259 C1(83,487) = 0.9295057372501815798 C2(83,487) = 1.475279714176504571 C3(83,487) = 3.979401881697733752 C4(83,487) = 3896 Sum = 5846.591363905940949 Averaged sum = 0.5847176081514092359 logp*logq = 27.34495279884815213 -------------- ************************************* p = 83; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 778861391638.5622883 -------------- Searches starting with [83,491]-exponents: u = 7, v = 87 n_start has 248 digits --- performed 5000 steps in the continued fraction search [83,491]-exponents: u = 35, v = 2 --- starting right neighbors generation We generated 5563 left neighbors We generated 4447 right neighbors We generated 10009 non-negative rho_i D1(83,491) = 0.7686996291477433344 D2(83,491) = 0.01197859016402799934 C1(83,491) = 1.006458134466810521 C2(83,491) = 1.593029181935648478 C3(83,491) = 4.461447886234881567 C4(83,491) = 3928 Sum = 4730.118674648584771 Averaged sum = 0.4725865395792371636 logp*logq = 27.38109893584119941 -------------- ************************************* p = 83; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 836519857723.6625481 -------------- Searches starting with [83,499]-exponents: u = 7, v = 32 n_start has 100 digits starting right neighbors generation We generated 822 left neighbors We generated 9188 right neighbors We generated 10009 non-negative rho_i D1(83,499) = 0.9533065986705922805 D2(83,499) = 0.05498410460141870664 C1(83,499) = 1.239131275609525423 C2(83,499) = 1.769774208859094268 C3(83,499) = 6.304080380786363472 C4(83,499) = 3992 Sum = 4655.442746313327677 Averaged sum = 0.4651256615359504123 logp*logq = 27.45251609615148998 -------------- ************************************* p = 83; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 866559359011.7514993 -------------- Searches starting with [83,503]-exponents: u = 7, v = 22 n_start has 73 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(83,503) = 0.6955720743954105922 D2(83,503) = 0.02201868668490605974 C1(83,503) = 0.9032461124477014843 C2(83,503) = 1.844903337923083580 C3(83,503) = 3.827121465987657388 C4(83,503) = 4024 Sum = 4461.395111477152499 Averaged sum = 0.4457383466357430811 logp*logq = 27.48779644809707406 -------------- ************************************* p = 83; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 913175919153.8421979 -------------- Searches starting with [83,509]-exponents: u = 7, v = 17 n_start has 60 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(83,509) = 0.6463978083618528410 D2(83,509) = 0.06231628685599610816 C1(83,509) = 0.8296326498686501809 C2(83,509) = 1.887254927130832010 C3(83,509) = 3.430590377316387939 C4(83,509) = 4072 Sum = 4157.515760224368059 Averaged sum = 0.4153777360599828214 logp*logq = 27.54019438151481311 -------------- ************************************* p = 83; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1012215204369.027607 -------------- Searches starting with [83,521]-exponents: u = 7, v = 12 n_start has 47 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(83,521) = 0.6964859865056329839 D2(83,521) = 0.1396821640669393933 C1(83,521) = 0.9104721540806129453 C2(83,521) = 1.462160211903825307 C3(83,521) = 3.868434707175062942 C4(83,521) = 4168 Sum = 4652.440760380655869 Averaged sum = 0.4648257328784749594 logp*logq = 27.64316231672504071 -------------- ************************************* p = 83; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1029498350543.326129 -------------- Searches starting with [83,523]-exponents: u = 7, v = 12 n_start has 47 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(83,523) = 1.212077177264157588 D2(83,523) = 0.1034727386368305166 C1(83,523) = 1.847766330218484104 C2(83,523) = 1.160290575093201548 C3(83,523) = 15.57324143447115534 C4(83,523) = 4184 Sum = 3060.477638151578767 Averaged sum = 0.3057725685035047225 logp*logq = 27.66009276122096220 -------------- ************************************* p = 83; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1195537117757.275450 -------------- Searches starting with [83,541]-exponents: u = 7, v = 7 n_start has 33 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(83,541) = 1.110090276384336534 D2(83,541) = 0.01140762636016873628 C1(83,541) = 1.538505934112124301 C2(83,541) = 2.022592465229504631 C3(83,541) = 9.835823001148684388 C4(83,541) = 4328 Sum = 5526.276785613027838 Averaged sum = 0.5521307608765139213 logp*logq = 27.80961667125681340 -------------- ************************************* p = 83; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1255248124727.762083 -------------- Searches starting with [83,547]-exponents: u = 7, v = 7 n_start has 33 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(83,547) = 0.7476055825035025087 D2(83,547) = 0.02238557694683191747 C1(83,547) = 1.230313545868516662 C2(83,547) = 2.035722062615483370 C3(83,547) = 6.222022646919036467 C4(83,547) = 4376 Sum = 4217.027822645350458 Averaged sum = 0.4213235910326057006 logp*logq = 27.85835437791688133 -------------- ************************************* p = 83; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1359867014764.371759 -------------- Searches starting with [83,557]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(83,557) = 0.7014909190777877122 D2(83,557) = 0.006411792027890320829 C1(83,557) = 0.9314537634673161370 C2(83,557) = 2.199779448458842789 C3(83,557) = 3.990937058436987388 C4(83,557) = 4456 Sum = 4776.402642151959584 Averaged sum = 0.4772107745181296417 logp*logq = 27.93840802763392270 -------------- ************************************* p = 83; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1425798610878.899611 -------------- Searches starting with [83,563]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(83,563) = 0.8456992801823672583 D2(83,563) = 0.04034934504115226204 C1(83,563) = 1.179801706402730266 C2(83,563) = 1.595634232077418421 C3(83,563) = 5.772126979110774466 C4(83,563) = 4504 Sum = 3531.543433709280967 Averaged sum = 0.3528367902596943717 logp*logq = 27.98575320135460113 -------------- ************************************* p = 83; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1494176706852.158575 -------------- Searches starting with [83,569]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(83,569) = 1.584481365297388526 D2(83,569) = 0.05432949165941110342 C1(83,569) = 2.057551676702658464 C2(83,569) = 1.771713622233536118 C3(83,569) = 21.26940052396261668 C4(83,569) = 4552 Sum = 4908.175462827039565 Averaged sum = 0.4903762076957777564 logp*logq = 28.03259647332374162 -------------- ************************************* p = 83; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1517524027128.676336 -------------- Searches starting with [83,571]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(83,571) = 0.6845825156311347075 D2(83,571) = 0.05763857036352050734 C1(83,571) = 0.9173821032372479223 C2(83,571) = 1.775601483111940089 C3(83,571) = 3.908357831269729648 C4(83,571) = 4568 Sum = 4219.492328057092769 Averaged sum = 0.4215698199677383125 logp*logq = 28.04810119311793151 -------------- ************************************* p = 83; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1589263131150.718716 -------------- Searches starting with [83,577]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(83,577) = 0.6862029612018975055 D2(83,577) = 0.07367960248058259567 C1(83,577) = 0.8922370917894396633 C2(83,577) = 1.945798128684962154 C3(83,577) = 3.765026465787778950 C4(83,577) = 4616 Sum = 4379.834935058910868 Averaged sum = 0.4375896628093626604 logp*logq = 28.09429158521155039 -------------- ************************************* p = 83; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1714630205305.227840 -------------- Searches starting with [83,587]-exponents: u = 10, v = 2 n_start has 25 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(83,587) = 0.6671757527864584750 D2(83,587) = 0.09235898866238737732 C1(83,587) = 0.8885889241536887905 C2(83,587) = 1.967659470714447340 C3(83,587) = 3.744672491615424141 C4(83,587) = 4696 Sum = 4112.535854828681099 Averaged sum = 0.4108837900718034868 logp*logq = 28.17021854956758288 -------------- ************************************* p = 83; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1793439318039.809057 -------------- Searches starting with [83,593]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(83,593) = 0.9415164980213136945 D2(83,593) = 0.06515967786105715345 C1(83,593) = 1.486937810301055254 C2(83,593) = 1.242738247529269385 C3(83,593) = 9.110314395783391591 C4(83,593) = 4744 Sum = 4232.778477828855039 Averaged sum = 0.4228972402666455229 logp*logq = 28.21515629896654193 -------------- ************************************* p = 83; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1875022259914.243336 -------------- Searches starting with [83,599]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(83,599) = 0.7480017019365865793 D2(83,599) = 0.05981698386564887692 C1(83,599) = 1.025357572697962651 C2(83,599) = 2.134583666770547706 C3(83,599) = 4.588511129626046435 C4(83,599) = 4792 Sum = 3760.111291582768980 Averaged sum = 0.3756730234371834329 logp*logq = 28.25964164723471437 -------------- ************************************* p = 83; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1902844769721.620216 -------------- Searches starting with [83,601]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(83,601) = 0.6555749636230882453 D2(83,601) = 0.04699896415084843431 C1(83,601) = 0.9162050108887428159 C2(83,601) = 2.122553206653220652 C3(83,601) = 3.901528029773356696 C4(83,601) = 4808 Sum = 4151.131518377174828 Averaged sum = 0.4147398859403711487 logp*logq = 28.27437112956578936 -------------- ************************************* p = 83; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1988232677216.093956 -------------- Searches starting with [83,607]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(83,607) = 0.7643151386319714930 D2(83,607) = 0.01081835008491254731 C1(83,607) = 1.101582374566224743 C2(83,607) = 2.088719522836999458 C3(83,607) = 5.138783127750545891 C4(83,607) = 4856 Sum = 3999.882103516668976 Averaged sum = 0.3996285446614715731 logp*logq = 28.31826725816735020 -------------- ************************************* p = 83; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2076555473515.511812 -------------- Searches starting with [83,613]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(83,613) = 0.6795704422285799821 D2(83,613) = 0.1366022017046980795 C1(83,613) = 0.9252015087876051426 C2(83,613) = 1.920369833317364047 C3(83,613) = 3.954032607458158653 C4(83,613) = 4904 Sum = 3895.378814878187074 Averaged sum = 0.3891876126364459060 logp*logq = 28.36173161457274067 -------------- ************************************* p = 83; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2137102686048.012214 -------------- Searches starting with [83,617]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(83,617) = 0.8373492231735961725 D2(83,617) = 0.1116265804575905759 C1(83,617) = 1.286162753813226395 C2(83,617) = 1.336413467875827170 C3(83,617) = 6.760386829415617180 C4(83,617) = 4936 Sum = 4425.212690148639910 Averaged sum = 0.4421233579926705875 logp*logq = 28.39047214260761872 -------------- ************************************* p = 83; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2167883821346.195858 -------------- Searches starting with [83,619]-exponents: u = 16, v = 2 n_start has 37 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(83,619) = 1.141632732909395121 D2(83,619) = 0.08700361046171163403 C1(83,619) = 1.753453091554639783 C2(83,619) = 1.131449395719866169 C3(83,619) = 13.53685875449458408 C4(83,619) = 4952 Sum = 1918.469014104498205 Averaged sum = 0.1916743944554399246 logp*logq = 28.40477261013011647 -------------- ************************************* p = 83; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2359844767411.588510 -------------- Searches starting with [83,631]-exponents: u = 16, v = 2 n_start has 37 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(83,631) = 0.7906325707971998783 D2(83,631) = 0.05572430596114220520 C1(83,631) = 1.052356385537501423 C2(83,631) = 2.044816710287369279 C3(83,631) = 4.776330259218891606 C4(83,631) = 5048 Sum = 4785.492589118358233 Averaged sum = 0.4781189518551661738 logp*logq = 28.48961695628218337 -------------- ************************************* p = 83; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2529637211258.930914 -------------- Searches starting with [83,641]-exponents: u = 19, v = 2 n_start has 43 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(83,641) = 0.6228216873829319687 D2(83,641) = 0.1505578244665255870 C1(83,641) = 0.9371215076550340054 C2(83,641) = 1.522460514396447795 C3(83,641) = 4.024688947716138677 C4(83,641) = 5128 Sum = 4159.815609757480247 Averaged sum = 0.4156075142129563640 logp*logq = 28.55909701362664979 -------------- ************************************* p = 83; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2564700653239.991783 -------------- Searches starting with [83,643]-exponents: u = 19, v = 2 n_start has 43 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(83,643) = 0.7133441645034548326 D2(83,643) = 0.1419617921995871438 C1(83,643) = 0.9722280938510482569 C2(83,643) = 2.060417631770530561 C3(83,643) = 4.240205390728550550 C4(83,643) = 5144 Sum = 3971.898924556175439 Averaged sum = 0.3968327429869293075 logp*logq = 28.57286288335092713 -------------- ************************************* p = 83; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2635954928195.288778 -------------- Searches starting with [83,647]-exponents: u = 19, v = 2 n_start has 43 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(83,647) = 0.6146540992011600999 D2(83,647) = 0.1003821137833677064 C1(83,647) = 0.8113021418575648042 C2(83,647) = 2.020199108958133467 C3(83,647) = 3.338412789317628327 C4(83,647) = 5176 Sum = 4420.746156944739037 Averaged sum = 0.4416771062988049793 logp*logq = 28.60026663386241783 -------------- ************************************* p = 83; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2745697402360.845647 -------------- Searches starting with [83,653]-exponents: u = 22, v = 2 n_start has 48 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(83,653) = 1.024255309407636724 D2(83,653) = 0.04601618540017097913 C1(83,653) = 1.516619226669625511 C2(83,653) = 1.967859138777648824 C3(83,653) = 9.521097884994878820 C4(83,653) = 5224 Sum = 2183.180543770286649 Averaged sum = 0.2181217448067026325 logp*logq = 28.64105622141239299 -------------- ************************************* p = 83; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2858941959950.138865 -------------- Searches starting with [83,659]-exponents: u = 22, v = 2 n_start has 48 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(83,659) = 0.7549615710016623958 D2(83,659) = 0.1404922584553555484 C1(83,659) = 1.046321908022729147 C2(83,659) = 2.004378619088445910 C3(83,659) = 4.733694756159958188 C4(83,659) = 5272 Sum = 4127.075480927098394 Averaged sum = 0.4123364452919470870 logp*logq = 28.68147272824074133 -------------- ************************************* p = 83; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2897481897668.576945 -------------- Searches starting with [83,661]-exponents: u = 22, v = 2 n_start has 48 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(83,661) = 0.9134534942197083458 D2(83,661) = 0.1164589056896099032 C1(83,661) = 1.178035853074130580 C2(83,661) = 1.980991937410475412 C3(83,661) = 5.757001684811440434 C4(83,661) = 5288 Sum = 4315.392796965513129 Averaged sum = 0.4311512435773317143 logp*logq = 28.69486316457171704 -------------- ************************************* p = 83; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3137240444977.365256 -------------- Searches starting with [83,673]-exponents: u = 25, v = 2 n_start has 54 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(83,673) = 1.126906416449855227 D2(83,673) = 0.1128734271598780272 C1(83,673) = 1.629415339061196806 C2(83,673) = 1.931683259838672219 C3(83,673) = 11.25836440918523990 C4(83,673) = 5384 Sum = 5003.476961544280646 Averaged sum = 0.4998977881450974768 logp*logq = 28.77436469026396692 -------------- ************************************* p = 83; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3220476638837.774923 -------------- Searches starting with [83,677]-exponents: u = 28, v = 2 n_start has 60 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(83,677) = 0.9613376014068882678 D2(83,677) = 0.06539626842327676611 C1(83,677) = 1.311655941497434227 C2(83,677) = 1.885440377189897510 C3(83,677) = 7.021380576421573988 C4(83,677) = 5416 Sum = 4755.221647687156170 Averaged sum = 0.4750945796470332870 logp*logq = 28.80055048901410329 -------------- ************************************* p = 83; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3348523144077.020884 -------------- Searches starting with [83,683]-exponents: u = 31, v = 2 n_start has 66 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(83,683) = 0.7108384301282179443 D2(83,683) = 0.004348498817031152511 C1(83,683) = 0.9422446863163280160 C2(83,683) = 1.826230365923360998 C3(83,683) = 4.055443460429077562 C4(83,683) = 5464 Sum = 4677.228716688145163 Averaged sum = 0.4673022995991752586 logp*logq = 28.83954051204716198 -------------- ************************************* p = 83; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3525339123158.370154 -------------- Searches starting with [83,691]-exponents: u = 34, v = 2 n_start has 71 digits starting right neighbors generation We generated 250 left neighbors We generated 9760 right neighbors We generated 10009 non-negative rho_i D1(83,691) = 0.7960365734586759668 D2(83,691) = 0.006581900935754231209 C1(83,691) = 1.033705048420765534 C2(83,691) = 1.788890996674986437 C3(83,691) = 4.645778342898357182 C4(83,691) = 5528 Sum = 4523.487907965142315 Averaged sum = 0.4519420429578521645 logp*logq = 28.89099775271667208 -------------- ************************************* p = 83; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3756421660437.982802 -------------- Searches starting with [83,701]-exponents: u = 43, v = 2 n_start has 89 digits starting right neighbors generation We generated 388 left neighbors We generated 9622 right neighbors We generated 10009 non-negative rho_i D1(83,701) = 0.8326813161456073022 D2(83,701) = 0.03085502416255324962 C1(83,701) = 1.161635446253419354 C2(83,701) = 1.748198066207653349 C3(83,701) = 5.618404940628366411 C4(83,701) = 5608 Sum = 3009.144968727067822 Averaged sum = 0.3006439173470943973 logp*logq = 28.95448793413592968 -------------- ************************************* p = 83; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3949583887478.602284 -------------- Searches starting with [83,709]-exponents: u = 49, v = 2 n_start has 100 digits starting right neighbors generation We generated 446 left neighbors We generated 9564 right neighbors We generated 10009 non-negative rho_i D1(83,709) = 0.7982119481419157150 D2(83,709) = 0.03806846747768485281 C1(83,709) = 1.033986048378694435 C2(83,709) = 1.704464851856614374 C3(83,709) = 4.647718506591372059 C4(83,709) = 5672 Sum = 4636.528494037261440 Averaged sum = 0.4632359370603718093 logp*logq = 29.00463134435028457 -------------- ************************************* p = 83; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4201744364829.866025 -------------- Searches starting with [83,719]-exponents: u = 64, v = 2 n_start has 129 digits starting right neighbors generation We generated 795 left neighbors We generated 9215 right neighbors We generated 10009 non-negative rho_i D1(83,719) = 0.6456774172657463748 D2(83,719) = 0.01753199932200168100 C1(83,719) = 0.8424700675164896043 C2(83,719) = 1.624420304413626220 C3(83,719) = 3.496656395161780765 C4(83,719) = 5752 Sum = 4461.349744288623295 Averaged sum = 0.4457338139962656904 logp*logq = 29.06652087995382478 -------------- ************************************* p = 83; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4412294128687.038823 -------------- Searches starting with [83,727]-exponents: u = 82, v = 2 n_start has 164 digits starting right neighbors generation We generated 1293 left neighbors We generated 8717 right neighbors We generated 10009 non-negative rho_i D1(83,727) = 0.6521927997406419066 D2(83,727) = 0.006398319077113091313 C1(83,727) = 0.8415401393893736261 C2(83,727) = 1.553003863958527551 C3(83,727) = 3.491828194678670019 C4(83,727) = 5816 Sum = 4708.377376875290355 Averaged sum = 0.4704143647592457143 logp*logq = 29.11541588071131373 -------------- ************************************* p = 83; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4575491877331.071784 -------------- Searches starting with [83,733]-exponents: u = 106, v = 2 n_start has 210 digits **************************************************** Computing .... elapsed time = 13 minutes **************************************************** starting right neighbors generation We generated 2194 left neighbors We generated 7816 right neighbors We generated 10009 non-negative rho_i D1(83,733) = 1.355118892644648961 D2(83,733) = 0.002887649005051134876 C1(83,733) = 1.786890475010982659 C2(83,733) = 1.492922670681979197 C3(83,733) = 14.22640996676694882 C4(83,733) = 5864 Sum = 4447.901005332081584 Averaged sum = 0.4443901493987492840 logp*logq = 29.15173532304752469 -------------- ************************************* p = 83; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4743321191924.663943 -------------- Searches starting with [83,739]-exponents: u = 142, v = 2 n_start has 279 digits starting right neighbors generation We generated 3685 left neighbors We generated 6325 right neighbors We generated 10009 non-negative rho_i D1(83,739) = 0.6203312256365668517 D2(83,739) = 0.007346580856506184691 C1(83,739) = 0.8055413190741757819 C2(83,739) = 1.425170922611986230 C3(83,739) = 3.309958346383875975 C4(83,739) = 5912 Sum = 4909.940347520559530 Averaged sum = 0.4905525374683344520 logp*logq = 29.18775867968035655 -------------- ************************************* p = 83; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4857825997769.476930 -------------- Searches starting with [83,743]-exponents: u = 187, v = 2 n_start has 365 digits --- performed 5000 steps in the continued fraction search [83,743]-exponents: u = 101, v = 29 --- starting right neighbors generation We generated 6415 left neighbors We generated 3595 right neighbors We generated 10009 non-negative rho_i D1(83,743) = 0.6364921027412661614 D2(83,743) = 0.003743479081045670704 C1(83,743) = 0.8172853670087438340 C2(83,743) = 1.365844885772155574 C3(83,743) = 3.368224732738845878 C4(83,743) = 5944 Sum = 4982.435591836119596 Averaged sum = 0.4977955431947366965 logp*logq = 29.21161212819918880 -------------- ************************************* p = 83; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5093244525272.776154 -------------- Searches starting with [83,751]-exponents: u = 481, v = 2 n_start has 929 digits --- performed 5000 steps in the continued fraction search [83,751]-exponents: u = 149, v = 213 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,751) = 0.6159562352192992216 D2(83,751) = 0.2433055084694004579 C1(83,751) = 0.7641516840556799039 C2(83,751) = 1.387390318998906242 C3(83,751) = 3.112529325826937410 C4(83,751) = 6008 Sum = 5596.566175157408283 Averaged sum = 0.5597125887746182901 logp*logq = 29.25893617470925779 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,751) = 0.6159562352192992216 D2(83,751) = 0.2433055084694004579 C1(83,751) = 0.7641516840556799039 C2(83,751) = 1.387390318998906242 C3(83,751) = 3.112529325826937410 C4(83,751) = 6008 Sum = 5596.566175157408283 Averaged sum = 0.5597125887746182901 logp*logq = 29.25893617470925779 -------------- ************************************* p = 83; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5275526222441.255952 -------------- Searches starting with [83,757]-exponents: u = 3, v = 2003 n_start has 5773 digits --- performed 5000 steps in the continued fraction search [83,757]-exponents: u = 2977, v = 19 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,757) = 0.6898643610943330713 D2(83,757) = 0.5914711473606580230 C1(83,757) = 0.8178675631368866124 C2(83,757) = 1.508759405807583023 C3(83,757) = 3.371139750459455692 C4(83,757) = 6056 Sum = 6441.355879915020183 Averaged sum = 0.6442000079923012484 logp*logq = 29.29409954812396799 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,757) = 0.6898643610943330713 D2(83,757) = 0.5914711473606580230 C1(83,757) = 0.8178675631368866124 C2(83,757) = 1.508759405807583023 C3(83,757) = 3.371139750459455692 C4(83,757) = 6056 Sum = 6441.355879915020183 Averaged sum = 0.6442000079923012484 logp*logq = 29.29409954812396799 -------------- ************************************* p = 83; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5399823045236.041012 -------------- Searches starting with [83,761]-exponents: u = 3, v = 345 n_start has 1000 digits --- performed 5000 steps in the continued fraction search [83,761]-exponents: u = 182, v = 216 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,761) = 0.5831432447294506819 D2(83,761) = 0.2483055083963707695 C1(83,761) = 0.7217805945918602900 C2(83,761) = 1.382466515676314431 C3(83,761) = 2.922611135909243520 C4(83,761) = 6088 Sum = 5635.745745463426740 Averaged sum = 0.5636309376401066846 logp*logq = 29.31738729956111522 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(83,761) = 0.5831432447294506819 D2(83,761) = 0.2483055083963707695 C1(83,761) = 0.7217805945918602900 C2(83,761) = 1.382466515676314431 C3(83,761) = 2.922611135909243520 C4(83,761) = 6088 Sum = 5635.745745463426740 Averaged sum = 0.5636309376401066846 logp*logq = 29.31738729956111522 -------------- ************************************* p = 83; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5655206937525.653900 -------------- Searches starting with [83,769]-exponents: u = 3, v = 131 n_start has 384 digits --- performed 5000 steps in the continued fraction search [83,769]-exponents: u = 55, v = 68 --- starting right neighbors generation We generated 7072 left neighbors We generated 2938 right neighbors We generated 10009 non-negative rho_i D1(83,769) = 0.7920625817832784503 D2(83,769) = 0.004783939230136395211 C1(83,769) = 1.014826857657248454 C2(83,769) = 1.361627801327505070 C3(83,769) = 4.517271891518797859 C4(83,769) = 6152 Sum = 5028.436012726562195 Averaged sum = 0.5023914489685844934 logp*logq = 29.36359781855400398 -------------- ************************************* p = 83; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5786351745071.256047 -------------- Searches starting with [83,773]-exponents: u = 3, v = 99 n_start has 292 digits starting right neighbors generation We generated 4092 left neighbors We generated 5918 right neighbors We generated 10009 non-negative rho_i D1(83,773) = 0.6501797611559752946 D2(83,773) = 0.0009681239029936346847 C1(83,773) = 0.8424787977795276612 C2(83,773) = 1.417679634856275409 C3(83,773) = 3.496701754432958840 C4(83,773) = 6184 Sum = 4927.729382872034418 Averaged sum = 0.4923298414299165169 logp*logq = 29.38652311307702463 -------------- ************************************* p = 83; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6263985539861.783008 -------------- Searches starting with [83,787]-exponents: u = 3, v = 55 n_start has 166 digits starting right neighbors generation We generated 1302 left neighbors We generated 8708 right neighbors We generated 10009 non-negative rho_i D1(83,787) = 0.7595203799433008716 D2(83,787) = 0.01544600667891492069 C1(83,787) = 1.014918129022892681 C2(83,787) = 1.572294963151027864 C3(83,787) = 4.517884556691907428 C4(83,787) = 6296 Sum = 3962.118330027327005 Averaged sum = 0.3958555629960362679 logp*logq = 29.46583776616320164 -------------- ************************************* p = 83; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6623413248318.925179 -------------- Searches starting with [83,797]-exponents: u = 3, v = 41 n_start has 125 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(83,797) = 1.096949469847206017 D2(83,797) = 0.003363467185555500113 C1(83,797) = 1.433421395197151944 C2(83,797) = 1.642765197925979117 C3(83,797) = 8.413927700550468150 C4(83,797) = 6376 Sum = 4992.475254641474016 Averaged sum = 0.4987986067181011105 logp*logq = 29.52163194942609882 -------------- ************************************* p = 83; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7075563170343.942751 -------------- Searches starting with [83,809]-exponents: u = 3, v = 31 n_start has 96 digits starting right neighbors generation We generated 422 left neighbors We generated 9588 right neighbors We generated 10009 non-negative rho_i D1(83,809) = 0.7292120757494515757 D2(83,809) = 0.01473420249251764183 C1(83,809) = 1.006183788184251098 C2(83,809) = 1.724284214604161275 C3(83,809) = 4.459629570267372049 C4(83,809) = 6472 Sum = 4557.464923135612134 Averaged sum = 0.4553366892931973358 logp*logq = 29.58766815633854759 -------------- ************************************* p = 83; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7153185367941.172662 -------------- Searches starting with [83,811]-exponents: u = 3, v = 31 n_start has 96 digits starting right neighbors generation We generated 422 left neighbors We generated 9588 right neighbors We generated 10009 non-negative rho_i D1(83,811) = 0.6053740347824881384 D2(83,811) = 0.03847727993945009682 C1(83,811) = 0.7766360582877924990 C2(83,811) = 1.748391901162424830 C3(83,811) = 3.170806375503048606 C4(83,811) = 6488 Sum = 4297.493863350004753 Averaged sum = 0.4293629596712963086 logp*logq = 29.59857887943188651 -------------- ************************************* p = 83; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7551233290661.736210 -------------- Searches starting with [83,821]-exponents: u = 3, v = 25 n_start has 79 digits starting right neighbors generation We generated 277 left neighbors We generated 9733 right neighbors We generated 10009 non-negative rho_i D1(83,821) = 0.8550595019932520758 D2(83,821) = 0.01928326106641296307 C1(83,821) = 1.197186577760700811 C2(83,821) = 1.790317649038194884 C3(83,821) = 5.923173837929206492 C4(83,821) = 6568 Sum = 4698.846628859784931 Averaged sum = 0.4694621469537201450 logp*logq = 29.65273201560588414 -------------- ************************************* p = 83; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7632857944833.005439 -------------- Searches starting with [83,823]-exponents: u = 3, v = 25 n_start has 79 digits starting right neighbors generation We generated 277 left neighbors We generated 9733 right neighbors We generated 10009 non-negative rho_i D1(83,823) = 0.7196129193606675002 D2(83,823) = 0.03936830122511707169 C1(83,823) = 0.9643273255835601040 C2(83,823) = 1.810771525490702824 C3(83,823) = 4.190718238800047921 C4(83,823) = 6584 Sum = 4572.482278621243397 Averaged sum = 0.4568370744950787688 logp*logq = 29.66348345791180395 -------------- ************************************* p = 83; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7798154207975.792682 -------------- Searches starting with [83,827]-exponents: u = 3, v = 23 n_start has 73 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(83,827) = 0.7981805370052146851 D2(83,827) = 0.002461788386712969865 C1(83,827) = 1.017157141550026832 C2(83,827) = 1.810484486010332156 C3(83,827) = 4.532940128136754280 C4(83,827) = 6616 Sum = 4159.944261471112907 Averaged sum = 0.4156203678160768216 logp*logq = 29.68490818161732728 -------------- ************************************* p = 83; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7881833850323.337232 -------------- Searches starting with [83,829]-exponents: u = 3, v = 23 n_start has 73 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(83,829) = 0.9240103525894731245 D2(83,829) = 0.01980882370040421732 C1(83,829) = 1.244015899074632057 C2(83,829) = 1.828203436997638627 C3(83,829) = 6.350001534967444750 C4(83,829) = 6632 Sum = 4930.377938733901809 Averaged sum = 0.4925944588604158066 logp*logq = 29.69558171484499444 -------------- ************************************* p = 83; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8310709082533.300965 -------------- Searches starting with [83,839]-exponents: u = 3, v = 21 n_start has 68 digits starting right neighbors generation We generated 231 left neighbors We generated 9779 right neighbors We generated 10009 non-negative rho_i D1(83,839) = 0.7874132494064681600 D2(83,839) = 0.01846809441594069470 C1(83,839) = 0.9979650643842924363 C2(83,839) = 1.870298797550848191 C3(83,839) = 4.405499694595663959 C4(83,839) = 6712 Sum = 3942.054733421063695 Averaged sum = 0.3938510074354144964 logp*logq = 29.74856604998031324 -------------- ************************************* p = 83; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8941216240963.604005 -------------- Searches starting with [83,853]-exponents: u = 3, v = 17 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(83,853) = 1.197718657407527711 D2(83,853) = 0.02222441038905510956 C1(83,853) = 1.599374608662936989 C2(83,853) = 1.925742530918404775 C3(83,853) = 10.76687740273723832 C4(83,853) = 6824 Sum = 5168.789879923657084 Averaged sum = 0.5164142151986868902 logp*logq = 29.82169274071122453 -------------- ************************************* p = 83; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9127981638543.348009 -------------- Searches starting with [83,857]-exponents: u = 3, v = 17 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(83,857) = 0.8661180938617555968 D2(83,857) = 0.05086610457496780818 C1(83,857) = 1.158975109105359741 C2(83,857) = 1.955132762849588764 C3(83,857) = 5.596239590581747478 C4(83,857) = 6856 Sum = 4484.591279388461921 Averaged sum = 0.4480558776489621261 logp*logq = 29.84236571693320446 -------------- ************************************* p = 83; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9222488775643.610695 -------------- Searches starting with [83,859]-exponents: u = 3, v = 17 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(83,859) = 0.8305954534697443298 D2(83,859) = 0.06596055484013225128 C1(83,859) = 1.074072727228740755 C2(83,859) = 1.970600158026944932 C3(83,859) = 4.932965575522323876 C4(83,859) = 6872 Sum = 4367.552642178678954 Averaged sum = 0.4363625379337275406 logp*logq = 29.85266604935427415 -------------- ************************************* p = 83; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9413773159191.858209 -------------- Searches starting with [83,863]-exponents: u = 3, v = 15 n_start has 50 digits starting right neighbors generation We generated 88 left neighbors We generated 9922 right neighbors We generated 10009 non-negative rho_i D1(83,863) = 0.8289922894733956312 D2(83,863) = 0.09800833264531371469 C1(83,863) = 1.066449479460357287 C2(83,863) = 2.003391198345962370 C3(83,863) = 4.877404104754716102 C4(83,863) = 6904 Sum = 4407.356887245695195 Averaged sum = 0.4403393832796178634 logp*logq = 29.87319496250414454 -------------- ************************************* p = 83; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10107554969287.45759 -------------- Searches starting with [83,877]-exponents: u = 3, v = 13 n_start has 45 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(83,877) = 0.9179933568811177077 D2(83,877) = 0.05413157002216888143 C1(83,877) = 1.353020643741267878 C2(83,877) = 2.021447355758428165 C3(83,877) = 7.466473030202030784 C4(83,877) = 7016 Sum = 3873.571293115311359 Averaged sum = 0.3870088213722960694 logp*logq = 29.94430427691179307 -------------- ************************************* p = 83; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10312860260138.12524 -------------- Searches starting with [83,881]-exponents: u = 3, v = 13 n_start has 45 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(83,881) = 0.6185678660346347390 D2(83,881) = 0.08028848888287898834 C1(83,881) = 0.8233329459896809997 C2(83,881) = 2.048350449160257414 C3(83,881) = 3.398627863786531886 C4(83,881) = 7048 Sum = 4509.079439187404431 Averaged sum = 0.4505024916762318344 logp*logq = 29.96441280129558283 -------------- ************************************* p = 83; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10416715092570.20024 -------------- Searches starting with [83,883]-exponents: u = 3, v = 13 n_start has 45 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(83,883) = 0.9368259950342242481 D2(83,883) = 0.09402491726348209654 C1(83,883) = 1.206345107603506798 C2(83,883) = 2.062458680218202064 C3(83,883) = 6.004330017970610025 C4(83,883) = 7064 Sum = 4494.578537484220084 Averaged sum = 0.4490537054135498136 logp*logq = 29.97443285231878220 -------------- ************************************* p = 83; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10626851211764.68792 -------------- Searches starting with [83,887]-exponents: u = 3, v = 13 n_start has 45 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(83,887) = 0.6598895850688815409 D2(83,887) = 0.1230493240398834253 C1(83,887) = 0.8558379289961741111 C2(83,887) = 2.092224142625521963 C3(83,887) = 3.566804863732411706 C4(83,887) = 7096 Sum = 4433.159652484648375 Averaged sum = 0.4429173396427863298 logp*logq = 29.99440504725794972 -------------- ************************************* p = 83; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11727222956320.79307 -------------- Searches starting with [83,907]-exponents: u = 3, v = 11 n_start has 39 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(83,907) = 0.8034971166540797693 D2(83,907) = 0.05938368878479812267 C1(83,907) = 1.048389914841853017 C2(83,907) = 2.106253312203881010 C3(83,907) = 4.748262845710403332 C4(83,907) = 7256 Sum = 4561.004826587766366 Averaged sum = 0.4556903613335764178 logp*logq = 30.09293400344818278 -------------- ************************************* p = 83; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11957488825522.02594 -------------- Searches starting with [83,911]-exponents: u = 3, v = 11 n_start has 39 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(83,911) = 0.8509361750711678870 D2(83,911) = 0.08085698895106322598 C1(83,911) = 1.111525828352000340 C2(83,911) = 2.128470259967828197 C3(83,911) = 5.215271031792794457 C4(83,911) = 7288 Sum = 4531.836059899817505 Averaged sum = 0.4527761074932378364 logp*logq = 30.11237887798418359 -------------- ************************************* p = 83; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12428505688468.94044 -------------- Searches starting with [83,919]-exponents: u = 3, v = 11 n_start has 39 digits starting right neighbors generation We generated 66 left neighbors We generated 9944 right neighbors We generated 10009 non-negative rho_i D1(83,919) = 0.8563650347990760210 D2(83,919) = 0.1180663613907167949 C1(83,919) = 1.129778067512928743 C2(83,919) = 1.538252951839088399 C3(83,919) = 5.358647695010859059 C4(83,919) = 7352 Sum = 4316.709349340609578 Averaged sum = 0.4312827804316724526 logp*logq = 30.15101379608029599 -------------- ************************************* p = 83; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13037321086477.53142 -------------- Searches starting with [83,929]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(83,929) = 0.6655470066981556354 D2(83,929) = 0.1332287813553481975 C1(83,929) = 1.014592809590706792 C2(83,929) = 1.535425742626784358 C3(83,929) = 4.515701207811245893 C4(83,929) = 7432 Sum = 4195.821775085493764 Averaged sum = 0.4192048931047550968 logp*logq = 30.19883721316818348 -------------- ************************************* p = 83; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13540776817950.83467 -------------- Searches starting with [83,937]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(83,937) = 0.7397196477430929305 D2(83,937) = 0.1292645144824788743 C1(83,937) = 1.023645145564061814 C2(83,937) = 1.975787759684372670 C3(83,937) = 4.576850702748426909 C4(83,937) = 7496 Sum = 4177.960909568360464 Averaged sum = 0.4174204125855090882 logp*logq = 30.23672675384604911 -------------- ************************************* p = 83; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13798077468008.64019 -------------- Searches starting with [83,941]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(83,941) = 0.6484036850907501649 D2(83,941) = 0.007035786401342136343 C1(83,941) = 0.8430884898509045080 C2(83,941) = 2.156510516986396692 C3(83,941) = 3.499870948524589126 C4(83,941) = 7528 Sum = 4287.726599169770839 Averaged sum = 0.4283871115166121330 logp*logq = 30.25555038447420536 -------------- ************************************* p = 83; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14191102935718.42236 -------------- Searches starting with [83,947]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(83,947) = 0.6688543884608624837 D2(83,947) = 0.02929685257552191368 C1(83,947) = 0.8983419456118181171 C2(83,947) = 2.179888322535840288 C3(83,947) = 3.799334632565024896 C4(83,947) = 7576 Sum = 4207.667411588980785 Averaged sum = 0.4203883916064522714 logp*logq = 30.28363633034624338 -------------- ************************************* p = 83; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14592734592222.83520 -------------- Searches starting with [83,953]-exponents: u = 3, v = 9 n_start has 33 digits starting right neighbors generation We generated 55 left neighbors We generated 9955 right neighbors We generated 10009 non-negative rho_i D1(83,953) = 0.6784089396426262850 D2(83,953) = 0.05254646478145784245 C1(83,953) = 0.8763054969359140403 C2(83,953) = 2.204247522748288120 C3(83,953) = 3.676945920184190983 C4(83,953) = 7624 Sum = 4468.425825478221314 Averaged sum = 0.4464407858405656224 logp*logq = 30.31154489011393597 -------------- ************************************* p = 83; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15564090064652.98539 -------------- Searches starting with [83,967]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(83,967) = 1.336984521646738137 D2(83,967) = 0.05840529878080125513 C1(83,967) = 2.089751429517128976 C2(83,967) = 1.185658047773013266 C3(83,967) = 22.31176969553790900 C4(83,967) = 7736 Sum = 3855.849305288110827 Averaged sum = 0.3852382161342902215 logp*logq = 30.37598745776329409 -------------- ************************************* p = 83; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15850597485190.21628 -------------- Searches starting with [83,971]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(83,971) = 0.7732765377019496789 D2(83,971) = 0.08117697531457244031 C1(83,971) = 0.9983075303026639534 C2(83,971) = 1.426415486473465696 C3(83,971) = 4.407742058016166523 C4(83,971) = 7768 Sum = 4384.409031245619819 Averaged sum = 0.4380466611295453910 logp*logq = 30.39422831176786501 -------------- ************************************* p = 83; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16287990643908.93729 -------------- Searches starting with [83,977]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(83,977) = 0.6959893320608266103 D2(83,977) = 0.08740245772066268637 C1(83,977) = 0.8885464887596522497 C2(83,977) = 2.039218085002165212 C3(83,977) = 3.744436383262311345 C4(83,977) = 7816 Sum = 3877.130194686573757 Averaged sum = 0.3873643915162927123 logp*logq = 30.42144918188029565 -------------- ************************************* p = 83; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16734664332201.71482 -------------- Searches starting with [83,983]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(83,983) = 0.7270008839963109820 D2(83,983) = 0.08080639797630071591 C1(83,983) = 0.9658962088740423707 C2(83,983) = 2.033796979791816760 C3(83,983) = 4.200498903463239584 C4(83,983) = 7864 Sum = 4429.466906386640494 Averaged sum = 0.4425483970812908876 logp*logq = 30.44850339255988629 -------------- ************************************* p = 83; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17344905115194.78112 -------------- Searches starting with [83,991]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(83,991) = 0.7294042552447672508 D2(83,991) = 0.07225306025545377182 C1(83,991) = 0.9448542856367741103 C2(83,991) = 2.026798938910720619 C3(83,991) = 4.071199150020615449 C4(83,991) = 7928 Sum = 4279.900281718550728 Averaged sum = 0.4276051835066990437 logp*logq = 30.48431992589394814 -------------- ************************************* p = 83; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17813773907642.63898 -------------- Searches starting with [83,997]-exponents: u = 3, v = 7 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(83,997) = 1.125753643400723947 D2(83,997) = 0.06072360647624992408 C1(83,997) = 1.645417009710943451 C2(83,997) = 1.859829957945180307 C3(83,997) = 11.52925681421198486 C4(83,997) = 7976 Sum = 3563.014185959925827 Averaged sum = 0.3559810356638950771 logp*logq = 30.51099308902219718 -------------- ************************************* p = 89; q = 97; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 827743663.3758028713 -------------- Searches starting with [89,97]-exponents: u = 1, v = 52 n_start has 106 digits starting right neighbors generation We generated 449 left neighbors We generated 9561 right neighbors We generated 10009 non-negative rho_i D1(89,97) = 0.7959579306662608212 D2(89,97) = 0.03046921732563739436 C1(89,97) = 1.096990188511878025 C2(89,97) = 1.279557858667600527 C3(89,97) = 5.192340026243116501 C4(89,97) = 776 Sum = 3868.714880497082537 Averaged sum = 0.3865236167945931198 logp*logq = 20.53421407912318948 -------------- ************************************* p = 89; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 992361290.0183899699 -------------- Searches starting with [89,101]-exponents: u = 1, v = 35 n_start has 73 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(89,101) = 0.9969343243574949846 D2(89,101) = 0.05421491303924011896 C1(89,101) = 1.345835347725002467 C2(89,101) = 1.403020765425687201 C3(89,101) = 7.544642099541277629 C4(89,101) = 808 Sum = 5456.577474606518020 Averaged sum = 0.5451670970732858448 logp*logq = 20.71559780259066776 -------------- ************************************* p = 89; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1083663319.029702862 -------------- Searches starting with [89,103]-exponents: u = 1, v = 30 n_start has 63 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(89,103) = 0.6622639423054014982 D2(89,103) = 0.001220101384051076844 C1(89,103) = 0.8675453880098423737 C2(89,103) = 1.402436077080409544 C3(89,103) = 3.679076861977719527 C4(89,103) = 824 Sum = 4949.680519828432354 Averaged sum = 0.4945229812996735292 logp*logq = 20.80361310041938578 -------------- ************************************* p = 89; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1285777532.418840545 -------------- Searches starting with [89,107]-exponents: u = 1, v = 24 n_start has 51 digits starting right neighbors generation We generated 119 left neighbors We generated 9891 right neighbors We generated 10009 non-negative rho_i D1(89,107) = 0.6702662033063654090 D2(89,107) = 0.03287707293667306266 C1(89,107) = 0.9026635746674389478 C2(89,107) = 1.505150890496479265 C3(89,107) = 3.878286934264864084 C4(89,107) = 856 Sum = 4943.380743614965507 Averaged sum = 0.4938935701483630239 logp*logq = 20.97462945589875674 -------------- ************************************* p = 89; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1397226066.885085064 -------------- Searches starting with [89,109]-exponents: u = 1, v = 22 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(89,109) = 1.317126669390945514 D2(89,109) = 0.02569746859091766203 C1(89,109) = 1.705862357215191296 C2(89,109) = 1.533615017096562773 C3(89,109) = 12.95440434726350395 C4(89,109) = 872 Sum = 4896.607154661834799 Averaged sum = 0.4892204170908017583 logp*logq = 21.05775472723958589 -------------- ************************************* p = 89; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1642565025.526260445 -------------- Searches starting with [89,113]-exponents: u = 1, v = 18 n_start has 39 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(89,113) = 1.232356845322462691 D2(89,113) = 0.01148532577519565805 C1(89,113) = 1.635054638662837119 C2(89,113) = 1.584968894312534129 C3(89,113) = 11.64776805958098147 C4(89,113) = 904 Sum = 5273.332048320963030 Averaged sum = 0.5268590317035630961 logp*logq = 21.21952489690089958 -------------- ************************************* p = 89; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2774660787.862081647 -------------- Searches starting with [89,127]-exponents: u = 1, v = 12 n_start has 28 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(89,127) = 1.046487082032754449 D2(89,127) = 0.06194175355231803554 C1(89,127) = 1.381433801083560674 C2(89,127) = 1.803439515735793009 C3(89,127) = 7.958897426247689833 C4(89,127) = 1016 Sum = 5093.519099385544866 Averaged sum = 0.5088939054236731807 logp*logq = 21.74379433806480255 -------------- ************************************* p = 89; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3189047164.278348831 -------------- Searches starting with [89,131]-exponents: u = 1, v = 11 n_start has 26 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(89,131) = 0.6690289521700592497 D2(89,131) = 0.03744284886226232943 C1(89,131) = 0.9115021535605716335 C2(89,131) = 1.826764674798230555 C3(89,131) = 3.930100913256703714 C4(89,131) = 1048 Sum = 4749.360300877425020 Averaged sum = 0.4745089720129308642 logp*logq = 21.88298801454146250 -------------- ************************************* p = 89; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3899075544.299980313 -------------- Searches starting with [89,137]-exponents: u = 1, v = 10 n_start has 24 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(89,137) = 0.7784207757659157835 D2(89,137) = 0.04786738777732053195 C1(89,137) = 1.067522202293120948 C2(89,137) = 1.894422852993761513 C3(89,137) = 4.967600088246429783 C4(89,137) = 1096 Sum = 4574.010098790063530 Averaged sum = 0.4569897191317877440 logp*logq = 22.08400532206052698 -------------- ************************************* p = 89; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4161157683.243838421 -------------- Searches starting with [89,139]-exponents: u = 1, v = 10 n_start has 24 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(89,139) = 0.8932768798263993631 D2(89,139) = 0.08735549072958963613 C1(89,139) = 1.452785041767498797 C2(89,139) = 1.149946242467552064 C3(89,139) = 8.858946537860615308 C4(89,139) = 1112 Sum = 4813.464800451718085 Averaged sum = 0.4809136577531939339 logp*logq = 22.14905916174562200 -------------- ************************************* p = 89; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5683854115.602372697 -------------- Searches starting with [89,149]-exponents: u = 1, v = 8 n_start has 20 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(89,149) = 0.7519467225022031593 D2(89,149) = 0.09120488656849757639 C1(89,149) = 1.019533581410709177 C2(89,149) = 1.729685760018779116 C3(89,149) = 4.622240667429743809 C4(89,149) = 1192 Sum = 4684.254721647885302 Averaged sum = 0.4680042683232975624 logp*logq = 22.46089538105357727 -------------- ************************************* p = 89; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6034415002.427181598 -------------- Searches starting with [89,151]-exponents: u = 1, v = 8 n_start has 20 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(89,151) = 1.042351665252830168 D2(89,151) = 0.07605973517093602593 C1(89,151) = 1.573910329372476095 C2(89,151) = 1.569204369210811879 C3(89,151) = 10.62599550772894348 C4(89,151) = 1208 Sum = 3470.443815394159070 Averaged sum = 0.3467323224492116165 logp*logq = 22.52074475265120491 -------------- ************************************* p = 89; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7187784437.443162045 -------------- Searches starting with [89,157]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(89,157) = 0.8141539089088975872 D2(89,157) = 0.06417935694276778605 C1(89,157) = 1.080784360312883072 C2(89,157) = 1.765833196129273133 C3(89,157) = 5.067515324067404620 C4(89,157) = 1256 Sum = 5145.282925377170551 Averaged sum = 0.5140656334675962185 logp*logq = 22.69564881619198925 -------------- ************************************* p = 89; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8505615332.450605199 -------------- Searches starting with [89,163]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(89,163) = 0.7786597823995991461 D2(89,163) = 0.03987541948043314441 C1(89,163) = 1.032001061103374756 C2(89,163) = 1.589596671486220932 C3(89,163) = 4.709586496676364323 C4(89,163) = 1304 Sum = 4911.578998796636212 Averaged sum = 0.4907162552499386764 logp*logq = 22.86399240967162400 -------------- ************************************* p = 89; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9483441990.454291303 -------------- Searches starting with [89,167]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(89,167) = 0.7044946186866563688 D2(89,167) = 0.02338244947173863280 C1(89,167) = 0.9246920629472306759 C2(89,167) = 1.299034709887080506 C3(89,167) = 4.008713624019355147 C4(89,167) = 1336 Sum = 4857.481076413197142 Averaged sum = 0.4853113274466177582 logp*logq = 22.97281316647789792 -------------- ************************************* p = 89; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11111562556.94176629 -------------- Searches starting with [89,173]-exponents: u = 8, v = 6 n_start has 30 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(89,173) = 0.9568301957026651932 D2(89,173) = 0.01428940331705117282 C1(89,173) = 1.375222553131967243 C2(89,173) = 1.801771380071314169 C3(89,173) = 7.885013898947811441 C4(89,173) = 1384 Sum = 3568.484410939834975 Averaged sum = 0.3565275662843276026 logp*logq = 23.13125207489766095 -------------- ************************************* p = 89; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12949054255.07648803 -------------- Searches starting with [89,179]-exponents: u = 15, v = 6 n_start has 43 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(89,179) = 0.6875249744334209493 D2(89,179) = 0.1564236726395618209 C1(89,179) = 0.9487977478209279479 C2(89,179) = 1.776264365868360257 C3(89,179) = 4.156470446158272558 C4(89,179) = 1432 Sum = 4586.718318797294662 Averaged sum = 0.4582593984211504308 logp*logq = 23.28428859192907730 -------------- ************************************* p = 89; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13611254748.41874719 -------------- Searches starting with [89,181]-exponents: u = 22, v = 6 n_start has 57 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(89,181) = 0.8342990592190564284 D2(89,181) = 0.1077323274276027666 C1(89,181) = 1.239580091992046973 C2(89,181) = 1.729823611119167371 C3(89,181) = 6.432029946834858500 C4(89,181) = 1448 Sum = 4223.671172752468055 Averaged sum = 0.4219873286794353136 logp*logq = 23.33416284248434233 -------------- ************************************* p = 89; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17327237683.58633813 -------------- Searches starting with [89,191]-exponents: u = 7, v = 47 n_start has 121 digits starting right neighbors generation We generated 905 left neighbors We generated 9105 right neighbors We generated 10009 non-negative rho_i D1(89,191) = 0.7261169881309872903 D2(89,191) = 0.008213218987893044128 C1(89,191) = 0.9981982339396603698 C2(89,191) = 1.319578488182766550 C3(89,191) = 4.476509045894861215 C4(89,191) = 1528 Sum = 3870.081236827045812 Averaged sum = 0.3866601295660950956 logp*logq = 23.57554553290780609 -------------- ************************************* p = 89; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18156647509.16180693 -------------- Searches starting with [89,193]-exponents: u = 7, v = 23 n_start has 67 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(89,193) = 1.079726240555745793 D2(89,193) = 0.03138102197124883115 C1(89,193) = 1.539481218357781603 C2(89,193) = 1.512056285110236991 C3(89,193) = 10.09062131437064774 C4(89,193) = 1544 Sum = 5261.293453059066732 Averaged sum = 0.5256562546766976453 logp*logq = 23.62230258455097471 -------------- ************************************* p = 89; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19907858804.50521736 -------------- Searches starting with [89,197]-exponents: u = 7, v = 11 n_start has 39 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(89,197) = 0.7016351939011729157 D2(89,197) = 0.08976250016967978696 C1(89,197) = 1.053315348778654650 C2(89,197) = 1.771088556026095584 C3(89,197) = 4.862752121855213626 C4(89,197) = 1576 Sum = 4719.499929161355291 Averaged sum = 0.4715256198582630923 logp*logq = 23.71438040551778961 -------------- ************************************* p = 89; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20831259422.32318769 -------------- Searches starting with [89,199]-exponents: u = 7, v = 11 n_start has 39 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(89,199) = 0.7150311094567654464 D2(89,199) = 0.1194963135258477536 C1(89,199) = 0.9373973994931419072 C2(89,199) = 1.802642607263317808 C3(89,199) = 4.085924761970045843 C4(89,199) = 1592 Sum = 4660.788227598497205 Averaged sum = 0.4656597290037463488 logp*logq = 23.75972055233696631 -------------- ************************************* p = 89; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27093103893.29970473 -------------- Searches starting with [89,211]-exponents: u = 31, v = 5 n_start has 73 digits starting right neighbors generation We generated 547 left neighbors We generated 9463 right neighbors We generated 10009 non-negative rho_i D1(89,211) = 1.508509401119827528 D2(89,211) = 0.001136741159379445521 C1(89,211) = 2.168121850183337454 C2(89,211) = 1.720908746181239795 C3(89,211) = 25.93364321154615150 C4(89,211) = 1688 Sum = 3959.522227284130654 Averaged sum = 0.3955961861608682840 logp*logq = 24.02254506356743701 -------------- ************************************* p = 89; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34728547172.46737743 -------------- Searches starting with [89,223]-exponents: u = 6, v = 39 n_start has 104 digits starting right neighbors generation We generated 1016 left neighbors We generated 8994 right neighbors We generated 10009 non-negative rho_i D1(89,223) = 0.7342912527664763725 D2(89,223) = 0.03797038088446673168 C1(89,223) = 1.011997347154630804 C2(89,223) = 1.602377243708063169 C3(89,223) = 4.570230109493060852 C4(89,223) = 1784 Sum = 4827.657149656856989 Averaged sum = 0.4823316165108259556 logp*logq = 24.27082787076485116 -------------- ************************************* p = 89; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37613465658.54916515 -------------- Searches starting with [89,227]-exponents: u = 6, v = 19 n_start has 57 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(89,227) = 0.7667846040522977846 D2(89,227) = 0.06822246562503900968 C1(89,227) = 0.9847138525864134171 C2(89,227) = 1.723998523439959006 C3(89,227) = 4.386782546060384972 C4(89,227) = 1816 Sum = 4494.075084321152917 Averaged sum = 0.4490034053672847354 logp*logq = 24.35062795244603186 -------------- ************************************* p = 89; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39124011024.85891600 -------------- Searches starting with [89,229]-exponents: u = 6, v = 14 n_start has 45 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(89,229) = 1.331364558698703741 D2(89,229) = 0.1117982830551831206 C1(89,229) = 1.968938389132308856 C2(89,229) = 1.769061549066176680 C3(89,229) = 19.22972721904313486 C4(89,229) = 1832 Sum = 5174.851697977240227 Averaged sum = 0.5170198519309861352 logp*logq = 24.39000220816735170 -------------- ************************************* p = 89; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42286319536.81905056 -------------- Searches starting with [89,233]-exponents: u = 6, v = 9 n_start has 34 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(89,233) = 1.121184903869662407 D2(89,233) = 0.02656898580109524679 C1(89,233) = 1.715391485837788975 C2(89,233) = 1.823633192113190977 C3(89,233) = 13.14109427114167082 C4(89,233) = 1864 Sum = 3739.449626321558210 Averaged sum = 0.3736087147888458597 logp*logq = 24.46772945548344370 -------------- ************************************* p = 89; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47398360512.82546399 -------------- Searches starting with [89,239]-exponents: u = 6, v = 9 n_start has 34 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(89,239) = 0.7313746511014236476 D2(89,239) = 0.08119266382395670809 C1(89,239) = 0.9985185424018574403 C2(89,239) = 1.883002220856080498 C3(89,239) = 4.478662580312579754 C4(89,239) = 1912 Sum = 4025.046087194330281 Averaged sum = 0.4021426803071565872 logp*logq = 24.58185347671223612 -------------- ************************************* p = 89; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49204897405.91581581 -------------- Searches starting with [89,241]-exponents: u = 6, v = 9 n_start has 34 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(89,241) = 1.136486715671153696 D2(89,241) = 0.05922401507436010528 C1(89,241) = 1.848219613417843378 C2(89,241) = 1.048627361029271539 C3(89,241) = 16.04171028800782123 C4(89,241) = 1928 Sum = 3926.741758533630726 Averaged sum = 0.3923210868751754147 logp*logq = 24.61925899626146648 -------------- ************************************* p = 89; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59055825111.59725188 -------------- Searches starting with [89,251]-exponents: u = 16, v = 4 n_start has 41 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(89,251) = 1.019924568514123114 D2(89,251) = 0.1186918766251934256 C1(89,251) = 1.572284409865156976 C2(89,251) = 1.122458367431706320 C3(89,251) = 10.60008486835520722 C4(89,251) = 2008 Sum = 3544.606110879958197 Averaged sum = 0.3541418833929421717 logp*logq = 24.80174902183027266 -------------- ************************************* p = 89; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65661903120.41173832 -------------- Searches starting with [89,257]-exponents: u = 21, v = 4 n_start has 51 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(89,257) = 0.6222832393544430856 D2(89,257) = 0.06122617119061818340 C1(89,257) = 0.8070821557313256730 C2(89,257) = 1.783029197896775924 C3(89,257) = 3.359772841319386676 C4(89,257) = 2056 Sum = 4391.694320922524276 Averaged sum = 0.4387745350107427591 logp*logq = 24.90778473307151481 -------------- ************************************* p = 89; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72828503461.30923668 -------------- Searches starting with [89,263]-exponents: u = 36, v = 4 n_start has 80 digits starting right neighbors generation We generated 553 left neighbors We generated 9457 right neighbors We generated 10009 non-negative rho_i D1(89,263) = 1.271136530394065531 D2(89,263) = 0.03266007428349849000 C1(89,263) = 1.803762074604531728 C2(89,263) = 1.671804100752834409 C3(89,263) = 15.00580389178627103 C4(89,263) = 2104 Sum = 3610.839243910866010 Averaged sum = 0.3607592410741198931 logp*logq = 25.01137324658270619 -------------- ************************************* p = 89; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80588756292.51548610 -------------- Searches starting with [89,269]-exponents: u = 86, v = 4 n_start has 178 digits starting right neighbors generation We generated 2763 left neighbors We generated 7247 right neighbors We generated 10009 non-negative rho_i D1(89,269) = 0.7366339709310603337 D2(89,269) = 0.01445290122249614374 C1(89,269) = 0.9849513771261498648 C2(89,269) = 1.467947436211844563 C3(89,269) = 4.388347391815349538 C4(89,269) = 2152 Sum = 4425.414853375446194 Averaged sum = 0.4421435561370213002 logp*logq = 25.11262497663509084 -------------- ************************************* p = 89; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83313320805.14320749 -------------- Searches starting with [89,271]-exponents: u = 161, v = 4 n_start has 324 digits --- performed 5000 steps in the continued fraction search [89,271]-exponents: u = 101, v = 16 --- starting right neighbors generation We generated 9228 left neighbors We generated 782 right neighbors We generated 10009 non-negative rho_i D1(89,271) = 0.8888385164944351526 D2(89,271) = 0.01080327877432949967 C1(89,271) = 1.151489241939869169 C2(89,271) = 1.334719176331839510 C3(89,271) = 5.635114485937241359 C4(89,271) = 2168 Sum = 5179.664074922089747 Averaged sum = 0.5175006569009980765 logp*logq = 25.14587428696155640 -------------- ************************************* p = 89; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91918625971.34198085 -------------- Searches starting with [89,277]-exponents: u = 5, v = 83 n_start has 213 digits starting right neighbors generation We generated 3927 left neighbors We generated 6083 right neighbors We generated 10009 non-negative rho_i D1(89,277) = 0.5999737342857098839 D2(89,277) = 0.01261618035930857987 C1(89,277) = 0.7939496995780618142 C2(89,277) = 1.427314425165429682 C3(89,277) = 3.294170328621350159 C4(89,277) = 2216 Sum = 4648.023462544447334 Averaged sum = 0.4643844002941799713 logp*logq = 25.24416952228273739 -------------- ************************************* p = 89; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98028474959.19553535 -------------- Searches starting with [89,281]-exponents: u = 5, v = 39 n_start has 106 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(89,281) = 0.6774082377486433074 D2(89,281) = 0.04017948682472276073 C1(89,281) = 0.8968734172451033968 C2(89,281) = 1.597500643665406232 C3(89,281) = 3.844714467779394249 C4(89,281) = 2248 Sum = 4642.606203364804563 Averaged sum = 0.4638431614911384317 logp*logq = 25.30852383422048432 -------------- ************************************* p = 89; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101199359846.5621631 -------------- Searches starting with [89,283]-exponents: u = 5, v = 31 n_start has 86 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(89,283) = 0.8309591720320161821 D2(89,283) = 0.03983891278549532521 C1(89,283) = 1.090685007988188616 C2(89,283) = 1.654598895215526077 C3(89,283) = 5.143413326989030853 C4(89,283) = 2264 Sum = 4770.830624467475792 Averaged sum = 0.4766540737803452684 logp*logq = 25.34035826815291337 -------------- ************************************* p = 89; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118269216579.8521503 -------------- Searches starting with [89,293]-exponents: u = 5, v = 15 n_start has 47 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(89,293) = 0.6434366034688832197 D2(89,293) = 0.02703991321960501501 C1(89,293) = 0.8381145209535301799 C2(89,293) = 1.825647905424656795 C3(89,293) = 3.520031647758868976 C4(89,293) = 2344 Sum = 4418.652821512333014 Averaged sum = 0.4414679609863455903 logp*logq = 25.49622935919030631 -------------- ************************************* p = 89; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145834329329.1835621 -------------- Searches starting with [89,307]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(89,307) = 1.358847615962370129 D2(89,307) = 0.1162051822767560801 C1(89,307) = 1.923906011748125453 C2(89,307) = 1.839633290570992352 C3(89,307) = 17.97243248444638090 C4(89,307) = 2456 Sum = 4865.567162337528529 Averaged sum = 0.4861192089457017213 logp*logq = 25.70573708373847853 -------------- ************************************* p = 89; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 154559229200.0498061 -------------- Searches starting with [89,311]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(89,311) = 0.7308043483283213225 D2(89,311) = 0.08025817690122250193 C1(89,311) = 0.9826776193780102405 C2(89,311) = 1.678705913862652203 C3(89,311) = 4.373390425245289757 C4(89,311) = 2488 Sum = 4800.663187557523349 Averaged sum = 0.4796346475729366918 logp*logq = 25.76384322033846444 -------------- ************************************* p = 89; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 159071023630.3099402 -------------- Searches starting with [89,313]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(89,313) = 0.7990295886300037692 D2(89,313) = 0.06402323626720070859 C1(89,313) = 1.145213508841620272 C2(89,313) = 1.581533472221627094 C3(89,313) = 5.582262408465391864 C4(89,313) = 2504 Sum = 3549.606249662213892 Averaged sum = 0.3546414476633243972 logp*logq = 25.79261662892939276 -------------- ************************************* p = 89; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168401349425.9053856 -------------- Searches starting with [89,317]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(89,317) = 0.9096370572744980943 D2(89,317) = 0.007789011226801057155 C1(89,317) = 1.233340786746283353 C2(89,317) = 1.986686553289218642 C3(89,317) = 6.372052081626042368 C4(89,317) = 2536 Sum = 5341.196105393268825 Averaged sum = 0.5336393351377029498 logp*logq = 25.84961595194049732 -------------- ************************************* p = 89; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204452101235.7728121 -------------- Searches starting with [89,331]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(89,331) = 0.8253086270859491505 D2(89,331) = 0.06475075036734872125 C1(89,331) = 1.137440731886686107 C2(89,331) = 1.687199313103654520 C3(89,331) = 5.517489403809606352 C4(89,331) = 2648 Sum = 4648.787245728504627 Averaged sum = 0.4644607099339099437 logp*logq = 26.04359956120864063 -------------- ************************************* p = 89; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 221621302150.3589988 -------------- Searches starting with [89,337]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(89,337) = 0.7306793450393052188 D2(89,337) = 0.09983234003988358279 C1(89,337) = 0.9487817889569661368 C2(89,337) = 1.862873089286911000 C3(89,337) = 4.156370845786106761 C4(89,337) = 2696 Sum = 4512.249468257396265 Averaged sum = 0.4508192095371561859 logp*logq = 26.12423591603681940 -------------- ************************************* p = 89; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 252705835998.1001807 -------------- Searches starting with [89,347]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(89,347) = 0.7800304451305105016 D2(89,347) = 0.07556169300469873862 C1(89,347) = 1.091434747272242387 C2(89,347) = 1.971035071576853886 C3(89,347) = 5.149206889122440649 C4(89,347) = 2776 Sum = 4403.725373646418111 Averaged sum = 0.4399765584620259877 logp*logq = 26.25549194564491776 -------------- ************************************* p = 89; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 259309658561.4527127 -------------- Searches starting with [89,349]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(89,349) = 0.9955007609725889687 D2(89,349) = 0.05334876272891868516 C1(89,349) = 1.434991021724536159 C2(89,349) = 1.950116578792243423 C3(89,349) = 8.625382109489213868 C4(89,349) = 2792 Sum = 4208.453533737627598 Averaged sum = 0.4204669331339422118 logp*logq = 26.28128877739528456 -------------- ************************************* p = 89; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 272919272213.1209059 -------------- Searches starting with [89,353]-exponents: u = 13, v = 3 n_start has 33 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(89,353) = 0.7224693535895675710 D2(89,353) = 0.01239833741403522285 C1(89,353) = 1.105440030745510131 C2(89,353) = 1.911732642456831610 C3(89,353) = 5.258639375469422555 C4(89,353) = 2824 Sum = 4464.963973368761730 Averaged sum = 0.4460949119161516365 logp*logq = 26.33244188222263345 -------------- ************************************* p = 89; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294367507106.7160847 -------------- Searches starting with [89,359]-exponents: u = 17, v = 3 n_start has 41 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(89,359) = 0.6412959827580188564 D2(89,359) = 0.1088815268776322568 C1(89,359) = 0.8376024801889724333 C2(89,359) = 1.908025721085335716 C3(89,359) = 3.517326296528067376 C4(89,359) = 2872 Sum = 4583.206389292733821 Averaged sum = 0.4579085212601392568 logp*logq = 26.40809484782785018 -------------- ************************************* p = 89; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 324977558982.1181606 -------------- Searches starting with [89,367]-exponents: u = 21, v = 3 n_start has 49 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(89,367) = 0.9023235884032297077 D2(89,367) = 0.1146795304748144845 C1(89,367) = 1.323258026057546083 C2(89,367) = 1.842662573900415354 C3(89,367) = 7.293158390804839086 C4(89,367) = 2936 Sum = 4134.169600717795914 Averaged sum = 0.4130452193743426830 logp*logq = 26.50702196760634669 -------------- ************************************* p = 89; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 349514980594.9126199 -------------- Searches starting with [89,373]-exponents: u = 29, v = 3 n_start has 65 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(89,373) = 0.7049972084990340176 D2(89,373) = 0.008499455052470550113 C1(89,373) = 0.9614918414981634893 C2(89,373) = 1.739872301308871380 C3(89,373) = 4.236455983379746575 C4(89,373) = 2984 Sum = 4488.947184410241384 Averaged sum = 0.4484910764721991591 logp*logq = 26.57981226063419793 -------------- ************************************* p = 89; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 375468702847.5388832 -------------- Searches starting with [89,379]-exponents: u = 41, v = 3 n_start has 88 digits starting right neighbors generation We generated 510 left neighbors We generated 9500 right neighbors We generated 10009 non-negative rho_i D1(89,379) = 0.7541154160346255364 D2(89,379) = 0.04100535138548818017 C1(89,379) = 0.9660716806678618113 C2(89,379) = 1.669136252578272824 C3(89,379) = 4.265689870526382177 C4(89,379) = 3032 Sum = 4214.435663695611030 Averaged sum = 0.4210646082221611580 logp*logq = 26.65144095673432835 -------------- ************************************* p = 89; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 393586294595.0354906 -------------- Searches starting with [89,383]-exponents: u = 53, v = 3 n_start has 112 digits starting right neighbors generation We generated 891 left neighbors We generated 9119 right neighbors We generated 10009 non-negative rho_i D1(89,383) = 0.6819650514197310661 D2(89,383) = 0.002716797492798471076 C1(89,383) = 0.9398815800798103505 C2(89,383) = 1.593306910399814478 C3(89,383) = 4.101194207277578948 C4(89,383) = 3064 Sum = 3852.626022770990820 Averaged sum = 0.3849161777171536437 logp*logq = 26.69856618087556248 -------------- ************************************* p = 89; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 422028690462.3725910 -------------- Searches starting with [89,389]-exponents: u = 93, v = 3 n_start has 190 digits starting right neighbors generation We generated 2449 left neighbors We generated 7561 right neighbors We generated 10009 non-negative rho_i D1(89,389) = 0.8131094543776441461 D2(89,389) = 0.01754663196657190431 C1(89,389) = 1.082474451383934795 C2(89,389) = 1.460691608811803678 C3(89,389) = 5.080391765476869444 C4(89,389) = 3112 Sum = 4390.202236855892185 Averaged sum = 0.4386254607708954126 logp*logq = 26.76833913554908011 -------------- ************************************* p = 89; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 462408262860.1626720 -------------- Searches starting with [89,397]-exponents: u = 2185, v = 3 n_start has 4268 digits --- performed 5000 steps in the continued fraction search [89,397]-exponents: u = 1862, v = 243 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(89,397) = 0.7415334095583446714 D2(89,397) = 0.6051381695889229218 C1(89,397) = 0.8863370220075563691 C2(89,397) = 1.482385392380559942 C3(89,397) = 3.784366214813669623 C4(89,397) = 3176 Sum = 6418.625936581880136 Averaged sum = 0.6419267863368216957 logp*logq = 26.85971402365219334 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(89,397) = 0.7415334095583446714 D2(89,397) = 0.6051381695889229218 C1(89,397) = 0.8863370220075563691 C2(89,397) = 1.482385392380559942 C3(89,397) = 3.784366214813669623 C4(89,397) = 3176 Sum = 6418.625936581880136 Averaged sum = 0.6419267863368216957 logp*logq = 26.85971402365219334 -------------- ************************************* p = 89; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 483691556898.8786553 -------------- Searches starting with [89,401]-exponents: u = 4, v = 164 n_start has 435 digits --- performed 5000 steps in the continued fraction search [89,401]-exponents: u = 118, v = 54 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(89,401) = 0.9261363777346076081 D2(89,401) = 0.06870960330750326056 C1(89,401) = 1.184184446267892153 C2(89,401) = 1.305233565031739143 C3(89,401) = 5.918664984020707884 C4(89,401) = 3208 Sum = 5259.538827768513823 Averaged sum = 0.5260064834251939017 logp*logq = 26.90471326137983411 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(89,401) = 0.9261363777346076081 D2(89,401) = 0.06870960330750326056 C1(89,401) = 1.184184446267892153 C2(89,401) = 1.305233565031739143 C3(89,401) = 5.918664984020707884 C4(89,401) = 3208 Sum = 5259.538827768513823 Averaged sum = 0.5260064834251939017 logp*logq = 26.90471326137983411 -------------- ************************************* p = 89; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 528538013394.6743751 -------------- Searches starting with [89,409]-exponents: u = 4, v = 50 n_start has 139 digits starting right neighbors generation We generated 1292 left neighbors We generated 8718 right neighbors We generated 10009 non-negative rho_i D1(89,409) = 0.6137164895894506983 D2(89,409) = 0.01308819501416206738 C1(89,409) = 0.8007438267306232873 C2(89,409) = 1.540740906640760822 C3(89,409) = 3.327948518612656922 C4(89,409) = 3272 Sum = 4745.589919873188044 Averaged sum = 0.4741322729416713002 logp*logq = 26.99338056662311048 -------------- ************************************* p = 89; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 589067730832.0837314 -------------- Searches starting with [89,419]-exponents: u = 4, v = 26 n_start has 76 digits starting right neighbors generation We generated 352 left neighbors We generated 9658 right neighbors We generated 10009 non-negative rho_i D1(89,419) = 0.7669122590608265520 D2(89,419) = 0.04272468269353180877 C1(89,419) = 0.9961287569298429465 C2(89,419) = 1.715197969455687206 C3(89,419) = 4.462620237886070410 C4(89,419) = 3352 Sum = 4606.924173906139045 Averaged sum = 0.4602781670402776546 logp*logq = 27.10180700691055991 -------------- ************************************* p = 89; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 601794285973.4157275 -------------- Searches starting with [89,421]-exponents: u = 4, v = 23 n_start has 69 digits starting right neighbors generation We generated 309 left neighbors We generated 9701 right neighbors We generated 10009 non-negative rho_i D1(89,421) = 1.005206570548311913 D2(89,421) = 0.002523883643396604010 C1(89,421) = 1.429740778233689998 C2(89,421) = 1.729953973061890172 C3(89,421) = 8.557651259026602647 C4(89,421) = 3368 Sum = 5047.047272003111371 Averaged sum = 0.5042509013890609822 logp*logq = 27.12318150620431765 -------------- ************************************* p = 89; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 668667923203.4246207 -------------- Searches starting with [89,431]-exponents: u = 4, v = 17 n_start has 53 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(89,431) = 0.7848356394395478303 D2(89,431) = 0.04213070174336787005 C1(89,431) = 1.086078533483269825 C2(89,431) = 1.842125525343524836 C3(89,431) = 5.107959878520144188 C4(89,431) = 3448 Sum = 4216.225168875155586 Averaged sum = 0.4212433978294690364 logp*logq = 27.22855339596605070 -------------- ************************************* p = 89; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 682708735643.6786261 -------------- Searches starting with [89,433]-exponents: u = 4, v = 17 n_start has 53 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(89,433) = 0.8014313812660340205 D2(89,433) = 0.06780563293534183852 C1(89,433) = 1.037115145735433683 C2(89,433) = 1.868564189908304070 C3(89,433) = 4.745890852470061909 C4(89,433) = 3464 Sum = 4397.810493307642573 Averaged sum = 0.4393856022887044234 logp*logq = 27.24933415701703459 -------------- ************************************* p = 89; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 726210211327.1603080 -------------- Searches starting with [89,439]-exponents: u = 4, v = 14 n_start has 45 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(89,439) = 0.9686689318113009250 D2(89,439) = 0.1566895201944698100 C1(89,439) = 1.322488942339344401 C2(89,439) = 1.959717987845355735 C3(89,439) = 7.284740989812581361 C4(89,439) = 3512 Sum = 5224.181553606555332 Averaged sum = 0.5219484017990364004 logp*logq = 27.31110535714307267 -------------- ************************************* p = 89; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 756386927701.2092024 -------------- Searches starting with [89,443]-exponents: u = 4, v = 11 n_start has 37 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(89,443) = 0.8189612056724128362 D2(89,443) = 0.03206425729979353083 C1(89,443) = 1.236599454801559489 C2(89,443) = 1.928584482475708330 C3(89,443) = 6.403307252723982027 C4(89,443) = 3544 Sum = 4347.293607848940135 Averaged sum = 0.4343384561743371101 logp*logq = 27.35181889132490778 -------------- ************************************* p = 89; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 803469485724.4717087 -------------- Searches starting with [89,449]-exponents: u = 4, v = 11 n_start has 37 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(89,449) = 0.5990101973165561775 D2(89,449) = 0.08944092450757387206 C1(89,449) = 0.8025610250791284147 C2(89,449) = 1.988286900512805932 C3(89,449) = 3.337041599897225008 C4(89,449) = 3592 Sum = 4340.409215714919317 Averaged sum = 0.4336506359990927482 logp*logq = 27.41220504470648167 -------------- ************************************* p = 89; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 869754323088.8835258 -------------- Searches starting with [89,457]-exponents: u = 4, v = 8 n_start has 30 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(89,457) = 1.303722144371048632 D2(89,457) = 0.1204865928064794199 C1(89,457) = 1.696530559619306492 C2(89,457) = 1.388754542468259200 C3(89,457) = 12.77415109587040908 C4(89,457) = 3656 Sum = 5225.240281615661158 Averaged sum = 0.5220541794001060204 logp*logq = 27.49147662146209535 -------------- ************************************* p = 89; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 904450601228.4824164 -------------- Searches starting with [89,461]-exponents: u = 4, v = 8 n_start has 30 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(89,461) = 0.6997081532609373232 D2(89,461) = 0.1238146505089928795 C1(89,461) = 0.9022467889834961533 C2(89,461) = 1.885730777759658906 C3(89,461) = 3.875860568126554662 C4(89,461) = 3688 Sum = 4191.635157261363329 Averaged sum = 0.4187866077791351113 logp*logq = 27.53059352583868734 -------------- ************************************* p = 89; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 922197164923.0386773 -------------- Searches starting with [89,463]-exponents: u = 4, v = 8 n_start has 30 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(89,463) = 0.8063599014931048878 D2(89,463) = 0.1161473285976549063 C1(89,463) = 1.094321228145455858 C2(89,463) = 1.878883843506782374 C3(89,463) = 5.171572976574018385 C4(89,463) = 3704 Sum = 4463.786803137489253 Averaged sum = 0.4459773007430801532 logp*logq = 27.55002488246037482 -------------- ************************************* p = 89; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 958501578544.6429021 -------------- Searches starting with [89,467]-exponents: u = 4, v = 8 n_start has 30 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(89,467) = 0.6295521290256994022 D2(89,467) = 0.002155806686702564220 C1(89,467) = 0.8401513537266352138 C2(89,467) = 2.041231991309926993 C3(89,467) = 3.530813806731888555 C4(89,467) = 3736 Sum = 4579.048831444834633 Averaged sum = 0.4574931393190962766 logp*logq = 27.58863704632135714 -------------- ************************************* p = 89; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1074116699254.666341 -------------- Searches starting with [89,479]-exponents: u = 4, v = 8 n_start has 30 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(89,479) = 1.685882433329885021 D2(89,479) = 0.03429195852589511592 C1(89,479) = 2.741585266906255145 C2(89,479) = 1.025391213914053557 C3(89,479) = 61.35179835340357356 C4(89,479) = 3832 Sum = 2754.225460547108580 Averaged sum = 0.2751748886549214287 logp*logq = 27.70251976463620924 -------------- ************************************* p = 89; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1157018331927.426934 -------------- Searches starting with [89,487]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(89,487) = 0.8251622978231869554 D2(89,487) = 0.04084041063706741507 C1(89,487) = 1.075175377162822413 C2(89,487) = 1.989240400124881743 C3(89,487) = 5.025015108260055936 C4(89,487) = 3896 Sum = 4603.209485752807080 Averaged sum = 0.4599070322462590748 logp*logq = 27.77686740837707962 -------------- ************************************* p = 89; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1200290197854.797264 -------------- Searches starting with [89,491]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(89,491) = 0.6499779673300420145 D2(89,491) = 0.02835635676772700588 C1(89,491) = 0.8514511388046482171 C2(89,491) = 1.978468199977128760 C3(89,491) = 3.591232882898793595 C4(89,491) = 3928 Sum = 4354.199544692107992 Averaged sum = 0.4350284288832159049 logp*logq = 27.81358447503163243 -------------- ************************************* p = 89; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1290601716191.602657 -------------- Searches starting with [89,499]-exponents: u = 11, v = 5 n_start has 35 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(89,499) = 0.7832230457262566570 D2(89,499) = 0.004675734456519291338 C1(89,499) = 1.190162674150247879 C2(89,499) = 1.958169024862957813 C3(89,499) = 5.972033659135994982 C4(89,499) = 3992 Sum = 4357.864592293344752 Averaged sum = 0.4353946040856573835 logp*logq = 27.88612967220985949 -------------- ************************************* p = 89; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1337692564361.675329 -------------- Searches starting with [89,503]-exponents: u = 18, v = 5 n_start has 49 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(89,503) = 0.6288224288232393593 D2(89,503) = 0.1605249377629023699 C1(89,503) = 0.8114373754630512473 C2(89,503) = 1.958239126637129524 C3(89,503) = 3.381816328858650649 C4(89,503) = 4024 Sum = 4216.941225369599646 Averaged sum = 0.4213149390917773650 logp*logq = 27.92196727870792764 -------------- ************************************* p = 89; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1410820885983.877525 -------------- Searches starting with [89,509]-exponents: u = 18, v = 5 n_start has 49 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(89,509) = 0.8376731601689729743 D2(89,509) = 0.1023088691904570274 C1(89,509) = 1.076677777662617313 C2(89,509) = 1.902408651612591413 C3(89,509) = 5.036363976319658004 C4(89,509) = 4072 Sum = 4372.395622420936133 Averaged sum = 0.4368464004816601191 logp*logq = 27.97519283955361379 -------------- ************************************* p = 89; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1566378146749.747167 -------------- Searches starting with [89,521]-exponents: u = 39, v = 5 n_start has 90 digits starting right neighbors generation We generated 696 left neighbors We generated 9314 right neighbors We generated 10009 non-negative rho_i D1(89,521) = 0.7154359329860284500 D2(89,521) = 0.009699382928098379340 C1(89,521) = 0.9229771210097581790 C2(89,521) = 1.814485969024787703 C3(89,521) = 3.998404188212084733 C4(89,521) = 4168 Sum = 4484.349725417740501 Averaged sum = 0.4480317439721990709 logp*logq = 28.07978715736751510 -------------- ************************************* p = 89; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1593549475914.083930 -------------- Searches starting with [89,523]-exponents: u = 46, v = 5 n_start has 104 digits starting right neighbors generation We generated 848 left neighbors We generated 9162 right neighbors We generated 10009 non-negative rho_i D1(89,523) = 0.6168860943689907889 D2(89,523) = 0.04966381512693488097 C1(89,523) = 0.8501983229334040826 C2(89,523) = 1.755479043175460105 C3(89,523) = 3.584483533905096075 C4(89,523) = 4184 Sum = 4480.440649710303351 Averaged sum = 0.4476411879019186083 logp*logq = 28.09698501890296847 -------------- ************************************* p = 89; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1854934803490.019406 -------------- Searches starting with [89,541]-exponents: u = 7, v = 92 n_start has 266 digits --- performed 5000 steps in the continued fraction search [89,541]-exponents: u = 59, v = 0 --- starting right neighbors generation We generated 6231 left neighbors We generated 3779 right neighbors We generated 10009 non-negative rho_i D1(89,541) = 0.7702834357109247214 D2(89,541) = 0.0002453578916863863277 C1(89,541) = 1.005719938450864968 C2(89,541) = 1.595084836067206178 C3(89,541) = 4.527354255740164946 C4(89,541) = 4328 Sum = 4891.844269367183167 Averaged sum = 0.4887445568355663070 logp*logq = 28.24887066500373230 -------------- ************************************* p = 89; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1949079226923.587772 -------------- Searches starting with [89,547]-exponents: u = 7, v = 42 n_start has 129 digits starting right neighbors generation We generated 1423 left neighbors We generated 8587 right neighbors We generated 10009 non-negative rho_i D1(89,547) = 0.6481080472400097737 D2(89,547) = 0.01671413729736349771 C1(89,547) = 0.8496620497182693398 C2(89,547) = 1.745176690454595241 C3(89,547) = 3.581598324448801550 C4(89,547) = 4376 Sum = 4433.686773890517072 Averaged sum = 0.4429700043851051126 logp*logq = 28.29837818566553825 -------------- ************************************* p = 89; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2114197208540.803558 -------------- Searches starting with [89,557]-exponents: u = 7, v = 22 n_start has 75 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(89,557) = 0.6825023741381664138 D2(89,557) = 0.02931794214309243930 C1(89,557) = 0.8927123885166083594 C2(89,557) = 1.868098585370561595 C3(89,557) = 3.820767624370203717 C4(89,557) = 4456 Sum = 4509.632663654582709 Averaged sum = 0.4505577643775185042 logp*logq = 28.37969628594181987 -------------- ************************************* p = 89; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2218359952259.519202 -------------- Searches starting with [89,563]-exponents: u = 7, v = 17 n_start has 61 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(89,563) = 1.454200886006102178 D2(89,563) = 0.06612570819171775001 C1(89,563) = 1.925329609469897397 C2(89,563) = 1.906759416140458610 C3(89,563) = 18.01089147644144638 C4(89,563) = 4504 Sum = 6010.237374863884544 Averaged sum = 0.6004833025141257411 logp*logq = 28.42778927855145639 -------------- ************************************* p = 89; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2326468205385.238264 -------------- Searches starting with [89,569]-exponents: u = 7, v = 12 n_start has 47 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(89,569) = 0.8789662289699166803 D2(89,569) = 0.1064109577909275212 C1(89,569) = 1.161979135069973009 C2(89,569) = 1.948877702727980744 C3(89,569) = 5.724576381791424924 C4(89,569) = 4552 Sum = 4832.349126086670169 Averaged sum = 0.4828003922556369436 logp*logq = 28.47537244185156531 -------------- ************************************* p = 89; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2363399251170.970264 -------------- Searches starting with [89,571]-exponents: u = 7, v = 12 n_start has 47 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(89,571) = 0.6259872979710903184 D2(89,571) = 0.1208036450037780334 C1(89,571) = 0.8161985285642252771 C2(89,571) = 1.963877025475436302 C3(89,571) = 3.406079915133082787 C4(89,571) = 4568 Sum = 4337.890326634808127 Averaged sum = 0.4333989735872522856 logp*logq = 28.49112205930730995 -------------- ************************************* p = 89; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2476932537427.719208 -------------- Searches starting with [89,577]-exponents: u = 7, v = 12 n_start has 47 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(89,577) = 1.154539006046709445 D2(89,577) = 0.1043622600891465392 C1(89,577) = 1.433494139960915190 C2(89,577) = 1.194698534932319952 C3(89,577) = 8.606017115854054432 C4(89,577) = 4616 Sum = 3251.299799949455163 Averaged sum = 0.3248376261314272318 logp*logq = 28.53804203046847593 -------------- ************************************* p = 89; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2675529081579.426541 -------------- Searches starting with [89,587]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(89,587) = 0.7616527166041578969 D2(89,587) = 0.1174726835572855734 C1(89,587) = 1.011090540667517267 C2(89,587) = 1.915873889971402905 C3(89,587) = 4.564011453350131657 C4(89,587) = 4696 Sum = 4742.838886774610068 Averaged sum = 0.4738574170021590636 logp*logq = 28.61516826422547569 -------------- ************************************* p = 89; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2800490810327.920175 -------------- Searches starting with [89,593]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(89,593) = 0.9255984133835438887 D2(89,593) = 0.08303492826181193968 C1(89,593) = 1.226746265971640550 C2(89,593) = 1.761351870775558287 C3(89,593) = 6.309267408734573300 C4(89,593) = 4744 Sum = 4955.378889527285558 Averaged sum = 0.4950923058774388608 logp*logq = 28.66081580715114281 -------------- ************************************* p = 89; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2929942174954.285411 -------------- Searches starting with [89,599]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(89,599) = 0.7793946189740381067 D2(89,599) = 0.008577012259946671248 C1(89,599) = 1.009705172469199126 C2(89,599) = 2.036481794061159820 C3(89,599) = 4.554527273002497097 C4(89,599) = 4792 Sum = 4539.831994168638531 Averaged sum = 0.4535749819331240414 logp*logq = 28.70600380325229360 -------------- ************************************* p = 89; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2974109963815.420106 -------------- Searches starting with [89,601]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(89,601) = 0.9398891803397460732 D2(89,601) = 0.01183618918776051321 C1(89,601) = 1.275536743387310992 C2(89,601) = 2.040389961621296662 C3(89,601) = 6.788845244280767536 C4(89,601) = 4808 Sum = 5310.394231513335384 Averaged sum = 0.5305619174256504530 logp*logq = 28.72096593833857311 -------------- ************************************* p = 89; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3109724982126.806693 -------------- Searches starting with [89,607]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(89,607) = 0.9494180077728851778 D2(89,607) = 0.02104514873898784529 C1(89,607) = 1.568706989087167248 C2(89,607) = 1.233432985103975789 C3(89,607) = 10.54329734336644325 C4(89,607) = 4856 Sum = 4463.853657281219430 Averaged sum = 0.4459839801459905515 logp*logq = 28.76555540802520518 -------------- ************************************* p = 89; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3250098064985.853580 -------------- Searches starting with [89,613]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(89,613) = 0.8576301471740562495 D2(89,613) = 0.01144992149431937465 C1(89,613) = 1.113626477638362573 C2(89,613) = 2.220837585645869202 C3(89,613) = 5.323679343222983016 C4(89,613) = 4904 Sum = 4827.158751885736947 Averaged sum = 0.4822818215491794332 logp*logq = 28.80970628565677422 -------------- ************************************* p = 89; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3346381643014.271346 -------------- Searches starting with [89,617]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(89,617) = 1.061520407785909706 D2(89,617) = 0.02722540986593140253 C1(89,617) = 1.433025440715342683 C2(89,617) = 1.470921259279081132 C3(89,617) = 8.599962548131708008 C4(89,617) = 4936 Sum = 4194.790548201366212 Averaged sum = 0.4191018631433076443 logp*logq = 28.83890077146715673 -------------- ************************************* p = 89; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3395347117450.918073 -------------- Searches starting with [89,619]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(89,619) = 0.8375445969157711312 D2(89,619) = 0.03113238385908482536 C1(89,619) = 1.102106086194056220 C2(89,619) = 1.548954458900175152 C3(89,619) = 5.232379984246430758 C4(89,619) = 4952 Sum = 4753.029942735784090 Averaged sum = 0.4748756062279732331 logp*logq = 28.85342711543901229 -------------- ************************************* p = 89; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3700953412316.795309 -------------- Searches starting with [89,631]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(89,631) = 1.312269775710299608 D2(89,631) = 0.05296622727367328248 C1(89,631) = 1.763227870636574715 C2(89,631) = 1.785775909714761770 C3(89,631) = 14.11972789384595592 C4(89,631) = 5048 Sum = 6095.942850897539551 Averaged sum = 0.6090461435605494605 logp*logq = 28.93961158138973361 -------------- ************************************* p = 89; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3971595737992.657170 -------------- Searches starting with [89,641]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(89,641) = 0.8221574278619800137 D2(89,641) = 0.07394036334328835079 C1(89,641) = 1.166662925036216419 C2(89,641) = 1.962657352167080248 C3(89,641) = 5.764978891196087964 C4(89,641) = 5128 Sum = 4048.637978367955470 Averaged sum = 0.4044997480635383625 logp*logq = 29.01018907898427963 -------------- ************************************* p = 89; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4027521866029.593524 -------------- Searches starting with [89,643]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(89,643) = 0.5787702497522877107 D2(89,643) = 0.07725241404345217557 C1(89,643) = 0.7743894847438640514 C2(89,643) = 1.966545163860623494 C3(89,643) = 3.198825525283907768 C4(89,643) = 5144 Sum = 4480.032458002014048 Averaged sum = 0.4476004054353096261 logp*logq = 29.02417238116457633 -------------- ************************************* p = 89; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4141209351500.350153 -------------- Searches starting with [89,647]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(89,647) = 0.7396653218790540944 D2(89,647) = 0.08393286771695462160 C1(89,647) = 1.008773033215206008 C2(89,647) = 1.974371672356631545 C3(89,647) = 4.548156975659642600 C4(89,647) = 5176 Sum = 3857.417459400704840 Averaged sum = 0.3853948905385857568 logp*logq = 29.05200897499778955 -------------- ************************************* p = 89; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4316399992481.842234 -------------- Searches starting with [89,653]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(89,653) = 0.9846988396307128514 D2(89,653) = 0.06394791247968790694 C1(89,653) = 1.561221784072206287 C2(89,653) = 1.223408404449781378 C3(89,653) = 10.42546043744798769 C4(89,653) = 5224 Sum = 4186.554146259047276 Averaged sum = 0.4182789635587018958 logp*logq = 29.09344283569422395 -------------- ************************************* p = 89; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4497297257599.049449 -------------- Searches starting with [89,659]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(89,659) = 0.6671226858149817918 D2(89,659) = 0.07641946643800524815 C1(89,659) = 1.057663484088737673 C2(89,659) = 2.166584752091218831 C3(89,659) = 4.894604597322165708 C4(89,659) = 5272 Sum = 4540.018712331688025 Averaged sum = 0.4535936369599048881 logp*logq = 29.13449772284429751 -------------- ************************************* p = 89; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4558887141009.368364 -------------- Searches starting with [89,661]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(89,661) = 0.6747634022386902949 D2(89,661) = 0.06434133756328632205 C1(89,661) = 0.9148877835068035183 C2(89,661) = 2.155220077267502407 C3(89,661) = 3.950131195143537132 C4(89,661) = 5288 Sum = 3831.720942375986425 Averaged sum = 0.3828275494430998526 logp*logq = 29.14809966164601652 -------------- ************************************* p = 89; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4942324668345.257899 -------------- Searches starting with [89,673]-exponents: u = 13, v = 2 n_start has 31 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(89,673) = 0.8849459024982017928 D2(89,673) = 0.1226515841589825945 C1(89,673) = 1.171648662390663247 C2(89,673) = 1.920360427625768478 C3(89,673) = 5.808299371467477325 C4(89,673) = 5384 Sum = 4881.578924751601595 Averaged sum = 0.4877189454242783090 logp*logq = 29.22885691707672725 -------------- ************************************* p = 89; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5075551584504.999941 -------------- Searches starting with [89,677]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(89,677) = 0.8449336308787820771 D2(89,677) = 0.1296500354824357423 C1(89,677) = 1.116988717208343887 C2(89,677) = 1.928411466694855054 C3(89,677) = 5.350624256053094107 C4(89,677) = 5416 Sum = 4682.480893305731329 Averaged sum = 0.4678270449900820591 logp*logq = 29.25545632155240887 -------------- ************************************* p = 89; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5280607128735.976177 -------------- Searches starting with [89,683]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(89,683) = 0.8442796957965265785 D2(89,683) = 0.1070654216386896549 C1(89,683) = 1.301577083285829222 C2(89,683) = 1.332080506407940692 C3(89,683) = 7.059552788332324336 C4(89,683) = 5464 Sum = 4323.550833632306419 Averaged sum = 0.4319663136809178159 logp*logq = 29.29506219353930290 -------------- ************************************* p = 89; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5563965577685.484013 -------------- Searches starting with [89,691]-exponents: u = 16, v = 2 n_start has 37 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(89,691) = 0.7255469576934216064 D2(89,691) = 0.1059493549095604065 C1(89,691) = 0.9846489592923458387 C2(89,691) = 2.108978089620714696 C3(89,691) = 4.386355116786123463 C4(89,691) = 5528 Sum = 4612.531131446482609 Averaged sum = 0.4608383586218885611 logp*logq = 29.34733220335764634 -------------- ************************************* p = 89; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5934626526415.051343 -------------- Searches starting with [89,701]-exponents: u = 16, v = 2 n_start has 37 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(89,701) = 0.7046200527100903621 D2(89,701) = 0.03519488044003843072 C1(89,701) = 0.9230305894352859146 C2(89,701) = 2.041472560658942845 C3(89,701) = 3.998725214811533566 C4(89,701) = 5608 Sum = 4546.881057370794681 Averaged sum = 0.4542792544081121671 logp*logq = 29.41182521470015671 -------------- ************************************* p = 89; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6244740104453.633288 -------------- Searches starting with [89,709]-exponents: u = 19, v = 2 n_start has 43 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(89,709) = 0.6872129346391123004 D2(89,709) = 0.1394198351789765534 C1(89,709) = 1.037664707951052379 C2(89,709) = 1.463264251521034769 C3(89,709) = 4.749808752118073139 C4(89,709) = 5672 Sum = 4253.194372997988669 Averaged sum = 0.4249369940051941921 logp*logq = 29.46276064205941207 -------------- ************************************* p = 89; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6649931869276.992644 -------------- Searches starting with [89,719]-exponents: u = 19, v = 2 n_start has 43 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(89,719) = 0.6730916332955200662 D2(89,719) = 0.07564811113412876873 C1(89,719) = 0.9005888619325041345 C2(89,719) = 2.012322623908384436 C3(89,719) = 3.866223773781145203 C4(89,719) = 5752 Sum = 4599.790746522045459 Averaged sum = 0.4595654657330448056 logp*logq = 29.52562772532232347 -------------- ************************************* p = 89; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6988555682330.165490 -------------- Searches starting with [89,727]-exponents: u = 22, v = 2 n_start has 49 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(89,727) = 0.6825912062939666577 D2(89,727) = 0.01507981596965322502 C1(89,727) = 0.8845437201623780618 C2(89,727) = 1.954174710190882719 C3(89,727) = 3.774189643992084938 C4(89,727) = 5816 Sum = 4246.412724101657857 Averaged sum = 0.4242594389151421577 logp*logq = 29.57529502454803201 -------------- ************************************* p = 89; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7251200330440.420841 -------------- Searches starting with [89,733]-exponents: u = 22, v = 2 n_start has 49 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(89,733) = 0.7026928974539843263 D2(89,733) = 0.1056697035647046771 C1(89,733) = 0.9333364918917562549 C2(89,733) = 1.986275766437474906 C3(89,733) = 4.061086022454024088 C4(89,733) = 5864 Sum = 4354.496664667571763 Averaged sum = 0.4350581141640095677 logp*logq = 29.61218813391048899 -------------- ************************************* p = 89; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7521453207388.982972 -------------- Searches starting with [89,739]-exponents: u = 25, v = 2 n_start has 55 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(89,739) = 0.7116387396342070601 D2(89,739) = 0.04983244465858805120 C1(89,739) = 0.9171905360703157494 C2(89,739) = 1.932172483862408816 C3(89,739) = 3.963813187234496027 C4(89,739) = 5912 Sum = 4171.341287994543799 Averaged sum = 0.4167590456583618542 logp*logq = 29.64878048088418720 -------------- ************************************* p = 89; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7705925509787.209958 -------------- Searches starting with [89,743]-exponents: u = 25, v = 2 n_start has 55 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(89,743) = 0.8032351481261916227 D2(89,743) = 0.01688302690538495411 C1(89,743) = 1.077694324293952005 C2(89,743) = 1.900371214630911309 C3(89,743) = 5.044057324786528771 C4(89,743) = 5944 Sum = 4487.234103908750554 Averaged sum = 0.4483199224606604609 logp*logq = 29.67301069556453806 -------------- ************************************* p = 89; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8085409259320.053736 -------------- Searches starting with [89,751]-exponents: u = 28, v = 2 n_start has 61 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(89,751) = 0.6471420955030760345 D2(89,751) = 0.05509797258769832013 C1(89,751) = 0.8854515036995116662 C2(89,751) = 1.891009320026862135 C3(89,751) = 3.779337679564917192 C4(89,751) = 6008 Sum = 4166.945365225802886 Averaged sum = 0.4163198486587873800 logp*logq = 29.72108222725843909 -------------- ************************************* p = 89; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8379429987674.361899 -------------- Searches starting with [89,757]-exponents: u = 31, v = 2 n_start has 67 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(89,757) = 1.259738208170239960 D2(89,757) = 0.001140316683722282110 C1(89,757) = 1.674158617898298162 C2(89,757) = 1.838703766235472797 C3(89,757) = 12.35216211535515421 C4(89,757) = 6056 Sum = 5294.133240270649863 Averaged sum = 0.5289372804746378122 logp*logq = 29.75680100754511778 -------------- ************************************* p = 89; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8580013389165.786992 -------------- Searches starting with [89,761]-exponents: u = 31, v = 2 n_start has 67 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(89,761) = 0.8078934151829218723 D2(89,761) = 0.05299301568920072004 C1(89,761) = 1.151910988443386704 C2(89,761) = 1.849456071599574103 C3(89,761) = 5.638684182084173373 C4(89,761) = 6088 Sum = 4277.540356412039941 Averaged sum = 0.4273694031783434849 logp*logq = 29.78045658993603451 -------------- ************************************* p = 89; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8992365054031.195231 -------------- Searches starting with [89,769]-exponents: u = 37, v = 2 n_start has 78 digits starting right neighbors generation We generated 273 left neighbors We generated 9737 right neighbors We generated 10009 non-negative rho_i D1(89,769) = 0.6411747452310071783 D2(89,769) = 0.05097090679751759462 C1(89,769) = 0.8330626402504768300 C2(89,769) = 1.813177026588516755 C3(89,769) = 3.493430952443044984 C4(89,769) = 6152 Sum = 4410.595669931518270 Averaged sum = 0.4406629703198639494 logp*logq = 29.82739700590163932 -------------- ************************************* p = 89; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9204231191327.050379 -------------- Searches starting with [89,773]-exponents: u = 40, v = 2 n_start has 84 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(89,773) = 0.8496789519599820227 D2(89,773) = 0.008023032612834169276 C1(89,773) = 1.195538597290222511 C2(89,773) = 1.771263979662657518 C3(89,773) = 6.020436274697435307 C4(89,773) = 6184 Sum = 2878.571158074781543 Averaged sum = 0.2875982773578560838 logp*logq = 29.85068440635715452 -------------- ************************************* p = 89; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9976483979575.588545 -------------- Searches starting with [89,787]-exponents: u = 49, v = 2 n_start has 102 digits starting right neighbors generation We generated 446 left neighbors We generated 9564 right neighbors We generated 10009 non-negative rho_i D1(89,787) = 0.7056670747563831631 D2(89,787) = 0.02667657480246774792 C1(89,787) = 0.9738403332374953757 C2(89,787) = 1.708114059300070097 C3(89,787) = 4.315740547914778380 C4(89,787) = 6296 Sum = 4537.574646019493971 Averaged sum = 0.4533494500968622211 logp*logq = 29.93125183752159837 -------------- ************************************* p = 89; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10558235549315.57940 -------------- Searches starting with [89,797]-exponents: u = 64, v = 2 n_start has 131 digits starting right neighbors generation We generated 795 left neighbors We generated 9215 right neighbors We generated 10009 non-negative rho_i D1(89,797) = 0.9740571732307190771 D2(89,797) = 0.02446982263179093571 C1(89,797) = 1.325736818492058015 C2(89,797) = 1.645759982811530783 C3(89,797) = 7.320354312466079823 C4(89,797) = 6376 Sum = 3632.105318771561674 Averaged sum = 0.3628839363344551577 logp*logq = 29.98792729211289201 -------------- ************************************* p = 89; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11290768304224.95858 -------------- Searches starting with [89,809]-exponents: u = 88, v = 2 n_start has 178 digits starting right neighbors generation We generated 1399 left neighbors We generated 8611 right neighbors We generated 10009 non-negative rho_i D1(89,809) = 0.6316410358436243193 D2(89,809) = 0.01668193024495537400 C1(89,809) = 0.8419005992928803523 C2(89,809) = 1.552545702238180804 C3(89,809) = 3.540099954112226223 C4(89,809) = 6472 Sum = 4761.842113487242053 Averaged sum = 0.4757560309208953994 logp*logq = 30.05500654352182144 -------------- ************************************* p = 89; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11416600563772.34589 -------------- Searches starting with [89,811]-exponents: u = 94, v = 2 n_start has 190 digits starting right neighbors generation We generated 1646 left neighbors We generated 8364 right neighbors We generated 10009 non-negative rho_i D1(89,811) = 0.7521157317400044354 D2(89,811) = 0.003393832666016814593 C1(89,811) = 0.9989825691130383016 C2(89,811) = 1.528082080902572784 C3(89,811) = 4.481784215362243159 C4(89,811) = 6488 Sum = 4984.868666186557899 Averaged sum = 0.4980386318499907982 logp*logq = 30.06608960191737145 -------------- ************************************* p = 89; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12062204549840.04760 -------------- Searches starting with [89,821]-exponents: u = 148, v = 2 n_start has 295 digits starting right neighbors generation We generated 3863 left neighbors We generated 6147 right neighbors We generated 10009 non-negative rho_i D1(89,821) = 0.5891247431953278583 D2(89,821) = 0.01366968783714769683 C1(89,821) = 0.7654364497869195075 C2(89,821) = 1.431994329475684827 C3(89,821) = 3.156110133220593192 C4(89,821) = 6568 Sum = 4886.798634860815145 Averaged sum = 0.4882404470837061789 logp*logq = 30.12109808901617830 -------------- ************************************* p = 89; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12194661022510.25777 -------------- Searches starting with [89,823]-exponents: u = 166, v = 2 n_start has 330 digits starting right neighbors generation We generated 4889 left neighbors We generated 5121 right neighbors We generated 10009 non-negative rho_i D1(89,823) = 0.6272296550670384494 D2(89,823) = 0.009243294036069823656 C1(89,823) = 0.8108238805715574386 C2(89,823) = 1.404546037034154693 C3(89,823) = 3.378702459101024624 C4(89,823) = 6584 Sum = 4941.658500662703011 Averaged sum = 0.4937215007156262375 logp*logq = 30.13201935077798065 -------------- ************************************* p = 89; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12462963957902.08643 -------------- Searches starting with [89,827]-exponents: u = 220, v = 2 n_start has 435 digits --- performed 5000 steps in the continued fraction search [89,827]-exponents: u = 105, v = 54 --- starting right neighbors generation We generated 8687 left neighbors We generated 1323 right neighbors We generated 10009 non-negative rho_i D1(89,827) = 0.6275350065047547751 D2(89,827) = 0.002837346739378678101 C1(89,827) = 0.8017992681575454004 C2(89,827) = 1.343686193423757597 C3(89,827) = 3.333226822750940398 C4(89,827) = 6616 Sum = 5108.087207856177012 Averaged sum = 0.5103494063199297644 logp*logq = 30.15378247884066660 -------------- ************************************* p = 89; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12598824110245.09568 -------------- Searches starting with [89,829]-exponents: u = 262, v = 2 n_start has 517 digits --- performed 5000 steps in the continued fraction search [89,829]-exponents: u = 64, v = 114 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(89,829) = 0.5855738513281616004 D2(89,829) = 0.04532187586083931490 C1(89,829) = 0.7434785574860235803 C2(89,829) = 1.337058031364568411 C3(89,829) = 3.053747267123842382 C4(89,829) = 6632 Sum = 5216.995673555353533 Averaged sum = 0.5217517425297883321 logp*logq = 30.16462460094724804 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(89,829) = 0.5855738513281616004 D2(89,829) = 0.04532187586083931490 C1(89,829) = 0.7434785574860235803 C2(89,829) = 1.337058031364568411 C3(89,829) = 3.053747267123842382 C4(89,829) = 6632 Sum = 5216.995673555353533 Averaged sum = 0.5217517425297883321 logp*logq = 30.16462460094724804 -------------- ************************************* p = 89; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13295487737686.81513 -------------- Searches starting with [89,839]-exponents: u = 4525, v = 2 n_start has 8827 digits --- performed 5000 steps in the continued fraction search [89,839]-exponents: u = 3106, v = 947 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(89,839) = 0.9033745361806294386 D2(89,839) = 0.6479412262285876376 C1(89,839) = 1.064524708693082324 C2(89,839) = 1.536299285262545771 C3(89,839) = 4.945291740899922444 C4(89,839) = 6712 Sum = 6563.368459480401884 Averaged sum = 0.6564024861966598543 logp*logq = 30.21844582574880481 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(89,839) = 0.9033745361806294386 D2(89,839) = 0.6479412262285876376 C1(89,839) = 1.064524708693082324 C2(89,839) = 1.536299285262545771 C3(89,839) = 4.945291740899922444 C4(89,839) = 6712 Sum = 6563.368459480401884 Averaged sum = 0.6564024861966598543 logp*logq = 30.21844582574880481 -------------- ************************************* p = 89; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14320705678162.63785 -------------- Searches starting with [89,853]-exponents: u = 3, v = 141 n_start has 420 digits --- performed 5000 steps in the continued fraction search [89,853]-exponents: u = 152, v = 16 --- starting right neighbors generation We generated 8001 left neighbors We generated 2009 right neighbors We generated 10009 non-negative rho_i D1(89,853) = 0.6035081281924663540 D2(89,853) = 0.004171728628123245099 C1(89,853) = 0.7726830023189919800 C2(89,853) = 1.356584141815050414 C3(89,853) = 3.190639452990168378 C4(89,853) = 6824 Sum = 5073.010703403762678 Averaged sum = 0.5068449099214469655 logp*logq = 30.29272755544816934 -------------- ************************************* p = 89; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14624613219196.95699 -------------- Searches starting with [89,857]-exponents: u = 3, v = 109 n_start has 326 digits starting right neighbors generation We generated 4805 left neighbors We generated 5205 right neighbors We generated 10009 non-negative rho_i D1(89,857) = 0.6738292589386858627 D2(89,857) = 0.008401591134709621262 C1(89,857) = 0.8722247986222794140 C2(89,857) = 1.414092019713664172 C3(89,857) = 3.705018426272720372 C4(89,857) = 6856 Sum = 4796.945631201725012 Averaged sum = 0.4792632262165775813 logp*logq = 30.31372706214611679 -------------- ************************************* p = 89; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14778434249480.91774 -------------- Searches starting with [89,859]-exponents: u = 3, v = 97 n_start has 291 digits starting right neighbors generation We generated 3789 left neighbors We generated 6221 right neighbors We generated 10009 non-negative rho_i D1(89,859) = 0.6517632011239805754 D2(89,859) = 0.007540534252022649567 C1(89,859) = 0.8473397104670814459 C2(89,859) = 1.437719109731713728 C3(89,859) = 3.569130661862132018 C4(89,859) = 6872 Sum = 4890.933428034969467 Averaged sum = 0.4886535546043530290 logp*logq = 30.32419008872461987 -------------- ************************************* p = 89; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15089847111312.51261 -------------- Searches starting with [89,863]-exponents: u = 3, v = 81 n_start has 244 digits starting right neighbors generation We generated 2739 left neighbors We generated 7271 right neighbors We generated 10009 non-negative rho_i D1(89,863) = 0.6184455381655123987 D2(89,863) = 0.004723588335145235106 C1(89,863) = 0.8117488808296796339 C2(89,863) = 1.479467342498509463 C3(89,863) = 3.383398511507737083 C4(89,863) = 6904 Sum = 4441.496070381269461 Averaged sum = 0.4437502318294804137 logp*logq = 30.34504325686854361 -------------- ************************************* p = 89; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16220155406026.25790 -------------- Searches starting with [89,877]-exponents: u = 3, v = 51 n_start has 156 digits starting right neighbors generation We generated 1084 left neighbors We generated 8926 right neighbors We generated 10009 non-negative rho_i D1(89,877) = 0.6423005952893448030 D2(89,877) = 0.02227359081726642164 C1(89,877) = 0.8643318697483818368 C2(89,877) = 1.607850517447362628 C3(89,877) = 3.661367139363598889 C4(89,877) = 7016 Sum = 3827.075572874062565 Averaged sum = 0.3823634302002260530 logp*logq = 30.41727574570593711 -------------- ************************************* p = 89; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16554877461980.09603 -------------- Searches starting with [89,881]-exponents: u = 3, v = 45 n_start has 139 digits starting right neighbors generation We generated 843 left neighbors We generated 9167 right neighbors We generated 10009 non-negative rho_i D1(89,881) = 0.7103353929356746614 D2(89,881) = 0.01347453758747750250 C1(89,881) = 0.9605543620917162048 C2(89,881) = 1.630739918432450811 C3(89,881) = 4.230496641597875318 C4(89,881) = 7048 Sum = 4804.140847574429052 Averaged sum = 0.4799821008666629086 logp*logq = 30.43770188502661545 -------------- ************************************* p = 89; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16724238715541.30977 -------------- Searches starting with [89,883]-exponents: u = 3, v = 43 n_start has 133 digits starting right neighbors generation We generated 802 left neighbors We generated 9208 right neighbors We generated 10009 non-negative rho_i D1(89,883) = 0.6623323251617512984 D2(89,883) = 0.003827094113365267670 C1(89,883) = 0.8980291121014416926 C2(89,883) = 1.638804228468353077 C3(89,883) = 3.851392117659869535 C4(89,883) = 7064 Sum = 4650.490936487314620 Averaged sum = 0.4646309258154975142 logp*logq = 30.44788020315149830 -------------- ************************************* p = 89; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17066999476613.54878 -------------- Searches starting with [89,887]-exponents: u = 3, v = 39 n_start has 121 digits starting right neighbors generation We generated 632 left neighbors We generated 9378 right neighbors We generated 10009 non-negative rho_i D1(89,887) = 0.9028450207452610874 D2(89,887) = 0.01549138044610226257 C1(89,887) = 1.231321360026347020 C2(89,887) = 1.669998913511843199 C3(89,887) = 6.352759576336007155 C4(89,887) = 7096 Sum = 5300.926104666714745 Averaged sum = 0.5296159561061759161 logp*logq = 30.46816785969859185 -------------- ************************************* p = 89; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18863559057644.12338 -------------- Searches starting with [89,907]-exponents: u = 3, v = 29 n_start has 92 digits starting right neighbors generation We generated 393 left neighbors We generated 9617 right neighbors We generated 10009 non-negative rho_i D1(89,907) = 0.9715060916035911087 D2(89,907) = 0.02857060276689480891 C1(89,907) = 1.356998244658255542 C2(89,907) = 1.782753963502178201 C3(89,907) = 7.672168434886161502 C4(89,907) = 7256 Sum = 3039.172969039144620 Averaged sum = 0.3036440172883549425 logp*logq = 30.56825308464354699 -------------- ************************************* p = 89; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19239856288795.27751 -------------- Searches starting with [89,911]-exponents: u = 3, v = 27 n_start has 86 digits starting right neighbors generation We generated 300 left neighbors We generated 9710 right neighbors We generated 10009 non-negative rho_i D1(89,911) = 0.9016347924790287258 D2(89,911) = 0.07021391462067870504 C1(89,911) = 1.166162208652224308 C2(89,911) = 1.825054575489505059 C3(89,911) = 5.760646119887072220 C4(89,911) = 7288 Sum = 4423.752155878951251 Averaged sum = 0.4419774358955890949 logp*logq = 30.58800509174087770 -------------- ************************************* p = 89; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20009939677347.23049 -------------- Searches starting with [89,919]-exponents: u = 3, v = 23 n_start has 75 digits starting right neighbors generation We generated 196 left neighbors We generated 9814 right neighbors We generated 10009 non-negative rho_i D1(89,919) = 0.8296682510062703555 D2(89,919) = 0.07289974802713401621 C1(89,919) = 1.172144672985541227 C2(89,919) = 1.860673527621755631 C3(89,919) = 5.812626912345198061 C4(89,919) = 7352 Sum = 4486.615492356609549 Averaged sum = 0.4482581169304235737 logp*logq = 30.62725024989432045 -------------- ************************************* p = 89; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21005996063789.14563 -------------- Searches starting with [89,929]-exponents: u = 3, v = 21 n_start has 69 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(89,929) = 0.7583679064771048997 D2(89,929) = 0.07601082985427380806 C1(89,929) = 0.9803462725844940807 C2(89,929) = 1.901534722081990375 C3(89,929) = 4.358107563126560487 C4(89,929) = 7432 Sum = 4285.316195857815891 Averaged sum = 0.4281462879266476062 logp*logq = 30.67582903974404076 -------------- ************************************* p = 89; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21830234907848.58923 -------------- Searches starting with [89,937]-exponents: u = 3, v = 19 n_start has 63 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(89,937) = 0.6126364525178666152 D2(89,937) = 0.04177297419029093961 C1(89,937) = 0.8031592050047384749 C2(89,937) = 1.910446297041998947 C3(89,937) = 3.340040265276991650 C4(89,937) = 7496 Sum = 4480.849385039006812 Averaged sum = 0.4476820246816871627 logp*logq = 30.71431704721347459 -------------- ************************************* p = 89; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22251665993073.16087 -------------- Searches starting with [89,941]-exponents: u = 3, v = 19 n_start has 63 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(89,941) = 0.8118367010763340352 D2(89,941) = 0.07273560236240148606 C1(89,941) = 1.082740973075609158 C2(89,941) = 1.942075919543080441 C3(89,941) = 5.082425321605471410 C4(89,941) = 7528 Sum = 4819.782042005659958 Averaged sum = 0.4815448138680847195 logp*logq = 30.73343799783089845 -------------- ************************************* p = 89; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22895638786044.19159 -------------- Searches starting with [89,947]-exponents: u = 3, v = 17 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(89,947) = 0.6565265097223756582 D2(89,947) = 0.005758469350876319216 C1(89,947) = 0.8482556420657973171 C2(89,947) = 1.925444034227161708 C3(89,947) = 3.574042721881877768 C4(89,947) = 7576 Sum = 4389.941777395058756 Averaged sum = 0.4385994382450852988 logp*logq = 30.76196756232732418 -------------- ************************************* p = 89; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23554003899387.98805 -------------- Searches starting with [89,953]-exponents: u = 3, v = 17 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(89,953) = 0.6621888859555695726 D2(89,953) = 0.04316656895983072730 C1(89,953) = 0.8884564822446571497 C2(89,953) = 1.963861728932840460 C3(89,953) = 3.796429043874270845 C4(89,953) = 7624 Sum = 4491.004077061145543 Averaged sum = 0.4486965807834094858 logp*logq = 30.79031693889887995 -------------- ************************************* p = 89; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25147444059315.39398 -------------- Searches starting with [89,967]-exponents: u = 3, v = 15 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(89,967) = 1.005329594849244329 D2(89,967) = 0.001114046553007854695 C1(89,967) = 1.285443119833231047 C2(89,967) = 1.983768821996401976 C3(89,967) = 6.890583498389921988 C4(89,967) = 7736 Sum = 3963.838137194564754 Averaged sum = 0.3960273890692941107 logp*logq = 30.85577737944961263 -------------- ************************************* p = 89; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25617743901366.33258 -------------- Searches starting with [89,971]-exponents: u = 3, v = 15 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(89,971) = 0.5868555586444185413 D2(89,971) = 0.02175399710423780088 C1(89,971) = 0.8679487097050046085 C2(89,971) = 2.005085072568207343 C3(89,971) = 3.681305612472708127 C4(89,971) = 7768 Sum = 4426.550711759786573 Averaged sum = 0.4422570398401225470 logp*logq = 30.87430634846366311 -------------- ************************************* p = 89; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26335979796911.10393 -------------- Searches starting with [89,977]-exponents: u = 3, v = 13 n_start has 45 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(89,977) = 0.7629371844732262618 D2(89,977) = 0.05457171688103588282 C1(89,977) = 1.128298256995892678 C2(89,977) = 2.038911974297623709 C3(89,977) = 5.442263533747311949 C4(89,977) = 7816 Sum = 4214.376537698500513 Averaged sum = 0.4210587009390049468 logp*logq = 30.90195717329468970 -------------- ************************************* p = 89; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27069769547189.59240 -------------- Searches starting with [89,983]-exponents: u = 3, v = 13 n_start has 45 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(89,983) = 0.6006561022247211029 D2(89,983) = 0.09013345140527591843 C1(89,983) = 0.7752837722249968462 C2(89,983) = 2.075476638294575522 C3(89,983) = 3.203123846037582962 C4(89,983) = 7864 Sum = 4459.081369907008987 Averaged sum = 0.4455071805282254958 logp*logq = 30.92943870630055187 -------------- ************************************* p = 89; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28072763820985.83728 -------------- Searches starting with [89,991]-exponents: u = 3, v = 13 n_start has 45 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(89,991) = 0.6127304373614241090 D2(89,991) = 0.1432487646124586561 C1(89,991) = 0.8209432899097727536 C2(89,991) = 2.129919596839117766 C3(89,991) = 3.430433151481784204 C4(89,991) = 7928 Sum = 4433.332876833415285 Averaged sum = 0.4429346465014901873 logp*logq = 30.96582096319330688 -------------- ************************************* p = 89; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28843778334816.80146 -------------- Searches starting with [89,997]-exponents: u = 3, v = 13 n_start has 45 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(89,997) = 1.002264016864389350 D2(89,997) = 0.1121777831998830679 C1(89,997) = 1.504648651320241970 C2(89,997) = 1.242549588418628705 C3(89,997) = 9.576417876386567551 C4(89,997) = 7976 Sum = 2292.450282602969167 Averaged sum = 0.2290388932563661871 logp*logq = 30.99291542998670338 -------------- ************************************* p = 97; q = 101; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1476355659.043761001 -------------- Searches starting with [97,101]-exponents: u = 1, v = 113 n_start has 229 digits starting right neighbors generation We generated 1916 left neighbors We generated 8094 right neighbors We generated 10009 non-negative rho_i D1(97,101) = 0.7625978767496737101 D2(97,101) = 0.01275171841171181881 C1(97,101) = 1.007428669535944082 C2(97,101) = 1.109492931021307791 C3(97,101) = 4.626678101804010993 C4(97,101) = 808 Sum = 4956.157580767220370 Averaged sum = 0.4951701049822380228 logp*logq = 21.11284249550991588 -------------- ************************************* p = 97; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1614910840.283071768 -------------- Searches starting with [97,103]-exponents: u = 1, v = 76 n_start has 155 digits starting right neighbors generation We generated 935 left neighbors We generated 9075 right neighbors We generated 10009 non-negative rho_i D1(97,103) = 0.7349783806314230620 D2(97,103) = 0.006938689659981812220 C1(97,103) = 0.9922588645804914670 C2(97,103) = 1.183219646890979275 C3(97,103) = 4.521178949250877951 C4(97,103) = 824 Sum = 4422.233868853680844 Averaged sum = 0.4418257437160236631 logp*logq = 21.20254558484199050 -------------- ************************************* p = 97; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1922402167.110275485 -------------- Searches starting with [97,107]-exponents: u = 1, v = 46 n_start has 96 digits starting right neighbors generation We generated 355 left neighbors We generated 9655 right neighbors We generated 10009 non-negative rho_i D1(97,107) = 0.6765817365069049800 D2(97,107) = 0.01687118015954738403 C1(97,107) = 0.8838765550280241799 C2(97,107) = 1.307777283087266829 C3(97,107) = 3.834245866709200749 C4(97,107) = 856 Sum = 5032.433823091095347 Averaged sum = 0.5027908705256364619 logp*logq = 21.37684136968004866 -------------- ************************************* p = 97; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2092364620.643047893 -------------- Searches starting with [97,109]-exponents: u = 1, v = 39 n_start has 82 digits starting right neighbors generation We generated 265 left neighbors We generated 9745 right neighbors We generated 10009 non-negative rho_i D1(97,109) = 0.6990677073582452067 D2(97,109) = 0.03468158542936753286 C1(97,109) = 0.9872320760754593992 C2(97,109) = 1.369595232077883611 C3(97,109) = 4.486753273920301782 C4(97,109) = 872 Sum = 4380.314603690829602 Averaged sum = 0.4376375865411958839 logp*logq = 21.46156066081225873 -------------- ************************************* p = 97; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2467405310.602740678 -------------- Searches starting with [97,113]-exponents: u = 1, v = 29 n_start has 62 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(97,113) = 1.046157918205087579 D2(97,113) = 0.03836100811909024476 C1(97,113) = 1.509388720026849676 C2(97,113) = 1.453070090492385476 C3(97,113) = 9.925341572775913846 C4(97,113) = 904 Sum = 5478.479956121533350 Averaged sum = 0.5473553757739567739 logp*logq = 21.62643295390650404 -------------- ************************************* p = 97; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4210115194.357081584 -------------- Searches starting with [97,127]-exponents: u = 1, v = 16 n_start has 36 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(97,127) = 1.145101655908434372 D2(97,127) = 0.08212350303218492623 C1(97,127) = 1.747507523213455058 C2(97,127) = 1.697593364461686981 C3(97,127) = 14.25576298810758239 C4(97,127) = 1016 Sum = 4730.697434133238250 Averaged sum = 0.4726443634861862573 logp*logq = 22.16075584634643321 -------------- ************************************* p = 97; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4851815087.934643768 -------------- Searches starting with [97,131]-exponents: u = 1, v = 15 n_start has 34 digits starting right neighbors generation We generated 61 left neighbors We generated 9949 right neighbors We generated 10009 non-negative rho_i D1(97,131) = 0.7921520925203328762 D2(97,131) = 0.01208595466075415073 C1(97,131) = 1.033845290334499021 C2(97,131) = 1.688262042881314383 C3(97,131) = 4.816303666163465682 C4(97,131) = 1048 Sum = 4534.037507752312723 Averaged sum = 0.4529960543263375685 logp*logq = 22.30261871681861266 -------------- ************************************* p = 97; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5954962576.869829631 -------------- Searches starting with [97,137]-exponents: u = 1, v = 13 n_start has 30 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(97,137) = 1.379848267592178350 D2(97,137) = 0.1513096602582291749 C1(97,137) = 1.898792798965679825 C2(97,137) = 1.867606817700112300 C3(97,137) = 17.94294661178426561 C4(97,137) = 1096 Sum = 5191.064229762134603 Averaged sum = 0.5186396472936491760 logp*logq = 22.50749075541316067 -------------- ************************************* p = 97; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6363167182.606302045 -------------- Searches starting with [97,139]-exponents: u = 1, v = 12 n_start has 28 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(97,139) = 0.9040634637011935125 D2(97,139) = 0.03952856593317506465 C1(97,139) = 1.205239136529062213 C2(97,139) = 1.795579460551154889 C3(97,139) = 6.250231870090413985 C4(97,139) = 1112 Sum = 5083.564732045914708 Averaged sum = 0.5078993637771919979 logp*logq = 22.57379207503174290 -------------- ************************************* p = 97; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8743777151.764852107 -------------- Searches starting with [97,149]-exponents: u = 1, v = 10 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(97,149) = 0.8803681573965220333 D2(97,149) = 0.1367963359175182040 C1(97,149) = 1.256882095303908517 C2(97,149) = 1.690978192329852530 C3(97,149) = 6.760818270959886780 C4(97,149) = 1192 Sum = 4564.047949272559920 Averaged sum = 0.4559943999672854351 logp*logq = 22.89160810165013921 -------------- ************************************* p = 97; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9293723824.451661705 -------------- Searches starting with [97,151]-exponents: u = 1, v = 10 n_start has 24 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(97,151) = 1.070325577224479141 D2(97,151) = 0.05632471271765106456 C1(97,151) = 1.531846729102453569 C2(97,151) = 1.918926244917674315 C3(97,151) = 10.27012937883245153 C4(97,151) = 1208 Sum = 5074.466111956952149 Averaged sum = 0.5069903199077782145 logp*logq = 22.95260515170089536 -------------- ************************************* p = 97; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11107242341.91382174 -------------- Searches starting with [97,157]-exponents: u = 1, v = 9 n_start has 22 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(97,157) = 1.808025207312863616 D2(97,157) = 0.1077867675091876231 C1(97,157) = 2.711018540471401600 C2(97,157) = 1.708924247199281126 C3(97,157) = 61.69615932810163509 C4(97,157) = 1256 Sum = 5580.799445590755803 Averaged sum = 0.5575781242472530526 logp*logq = 23.13086319573858327 -------------- ************************************* p = 97; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13186177586.90762082 -------------- Searches starting with [97,163]-exponents: u = 1, v = 8 n_start has 20 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(97,163) = 0.6870533668469900473 D2(97,163) = 0.08869039555647630398 C1(97,163) = 0.8936686515479898028 C2(97,163) = 1.740898963490311848 C3(97,163) = 3.891762265098286995 C4(97,163) = 1304 Sum = 4617.225363392419955 Averaged sum = 0.4613073597154980472 logp*logq = 23.30243496538450646 -------------- ************************************* p = 97; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14732805067.54756540 -------------- Searches starting with [97,167]-exponents: u = 1, v = 8 n_start has 20 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(97,167) = 0.6072925790304889753 D2(97,167) = 0.06835850911490982102 C1(97,167) = 0.8276961335587208028 C2(97,167) = 1.576581121564902127 C3(97,167) = 3.520306270860549690 C4(97,167) = 1336 Sum = 4781.578794188170342 Averaged sum = 0.4777279242869587713 logp*logq = 23.41334248157531247 -------------- ************************************* p = 97; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17314664403.53088742 -------------- Searches starting with [97,173]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(97,173) = 0.7781300196393159557 D2(97,173) = 0.05791910908059674473 C1(97,173) = 1.316618699100691340 C2(97,173) = 1.774934908259850186 C3(97,173) = 7.403671565737358366 C4(97,173) = 1384 Sum = 4913.108171531406758 Averaged sum = 0.4908690350216212167 logp*logq = 23.57481963277819221 -------------- ************************************* p = 97; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20237249861.23249491 -------------- Searches starting with [97,179]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(97,179) = 1.072558006972990891 D2(97,179) = 0.03614699782131032356 C1(97,179) = 1.409223732140228707 C2(97,179) = 1.599759625425932402 C3(97,179) = 8.523150230348723334 C4(97,179) = 1432 Sum = 4823.960596143318097 Averaged sum = 0.4819622935501366867 logp*logq = 23.73079079571231931 -------------- ************************************* p = 97; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21292515025.47326518 -------------- Searches starting with [97,181]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(97,181) = 1.494269109593114860 D2(97,181) = 0.03095764092320407853 C1(97,181) = 2.200138649871093836 C2(97,181) = 1.596745843994709362 C3(97,181) = 28.37210865415879635 C4(97,181) = 1448 Sum = 5709.293123470210040 Averaged sum = 0.5704159380028184674 logp*logq = 23.78162144064901638 -------------- ************************************* p = 97; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27231300801.48251793 -------------- Searches starting with [97,191]-exponents: u = 8, v = 6 n_start has 30 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(97,191) = 1.083235366846668721 D2(97,191) = 0.007727827524296394317 C1(97,191) = 1.562888369710894854 C2(97,191) = 1.811199779458125244 C3(97,191) = 10.76650350557136047 C4(97,191) = 1528 Sum = 3720.467151622300879 Averaged sum = 0.3717121742054451872 logp*logq = 24.02763291338651499 -------------- ************************************* p = 97; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28560388682.18013483 -------------- Searches starting with [97,193]-exponents: u = 8, v = 6 n_start has 30 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(97,193) = 0.7565486074077114414 D2(97,193) = 0.002548502018994873662 C1(97,193) = 0.9852295100503523899 C2(97,193) = 1.808186066019610415 C3(97,193) = 4.473111939856130202 C4(97,193) = 1544 Sum = 4624.198537417971780 Averaged sum = 0.4620040500967101388 logp*logq = 24.07528658364522157 -------------- ************************************* p = 97; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31370383983.02942926 -------------- Searches starting with [97,197]-exponents: u = 15, v = 6 n_start has 44 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(97,197) = 0.6685401423171593447 D2(97,197) = 0.1583351455170332409 C1(97,197) = 0.8992233125224097931 C2(97,197) = 1.370743163798438084 C3(97,197) = 3.924771697331601395 C4(97,197) = 1576 Sum = 4347.674905601128975 Averaged sum = 0.4343765516636156434 logp*logq = 24.16913009952768411 -------------- ************************************* p = 97; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32854011635.79287241 -------------- Searches starting with [97,199]-exponents: u = 15, v = 6 n_start has 44 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(97,199) = 0.6575524816410840509 D2(97,199) = 0.1221015870883489078 C1(97,199) = 0.8850780637368150349 C2(97,199) = 1.758494099589879399 C3(97,199) = 3.841257230691917813 C4(97,199) = 1592 Sum = 4775.260822667842664 Averaged sum = 0.4770966952410673058 logp*logq = 24.21533969423205991 -------------- ************************************* p = 97; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42945777072.79842540 -------------- Searches starting with [97,211]-exponents: u = 7, v = 47 n_start has 124 digits starting right neighbors generation We generated 905 left neighbors We generated 9105 right neighbors We generated 10009 non-negative rho_i D1(97,211) = 0.7263582984736915129 D2(97,211) = 0.001490489821178746797 C1(97,211) = 0.9939675650529219818 C2(97,211) = 1.326177013700239629 C3(97,211) = 4.532940938980778209 C4(97,211) = 1688 Sum = 4894.987564355084238 Averaged sum = 0.4890586036921854569 logp*logq = 24.48320415860558415 -------------- ************************************* p = 97; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55311576611.85154460 -------------- Searches starting with [97,223]-exponents: u = 13, v = 5 n_start has 38 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(97,223) = 1.191936163525225051 D2(97,223) = 0.08433504337751102411 C1(97,223) = 1.898535226609858345 C2(97,223) = 1.023245526992154575 C3(97,223) = 17.93592063310389501 C4(97,223) = 1784 Sum = 2870.442186550057858 Averaged sum = 0.2867861111549663161 logp*logq = 24.73624806555218976 -------------- ************************************* p = 97; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59998080248.85946422 -------------- Searches starting with [97,227]-exponents: u = 13, v = 5 n_start has 38 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(97,227) = 0.7500665023375539953 D2(97,227) = 0.08440265972041223296 C1(97,227) = 0.9829260502724947334 C2(97,227) = 1.814103357794738457 C3(97,227) = 4.457472221905789307 C4(97,227) = 1816 Sum = 4562.084925160341014 Averaged sum = 0.4557982740693716669 logp*logq = 24.81757840280429138 -------------- ************************************* p = 97; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62454723289.40696863 -------------- Searches starting with [97,229]-exponents: u = 19, v = 5 n_start has 50 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(97,229) = 0.9760647979345411085 D2(97,229) = 0.05582276444525198684 C1(97,229) = 1.240817100748429567 C2(97,229) = 1.787362549241260462 C3(97,229) = 6.597669003206998233 C4(97,229) = 1832 Sum = 4147.171369805757658 Averaged sum = 0.4143442271761172602 logp*logq = 24.85770770379497745 -------------- ************************************* p = 97; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67603490803.77083826 -------------- Searches starting with [97,233]-exponents: u = 25, v = 5 n_start has 62 digits starting right neighbors generation We generated 371 left neighbors We generated 9639 right neighbors We generated 10009 non-negative rho_i D1(97,233) = 0.7560002466689241627 D2(97,233) = 0.004582000733794537570 C1(97,233) = 1.041573127376006926 C2(97,233) = 1.739751364495506604 C3(97,233) = 4.873231513543529179 C4(97,233) = 1864 Sum = 4598.643743147509465 Averaged sum = 0.4594508685330711825 logp*logq = 24.93692545777111274 -------------- ************************************* p = 97; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75942167559.36814827 -------------- Searches starting with [97,239]-exponents: u = 79, v = 5 n_start has 169 digits starting right neighbors generation We generated 2720 left neighbors We generated 7290 right neighbors We generated 10009 non-negative rho_i D1(97,239) = 0.6419348391441694209 D2(97,239) = 0.02240677509096521288 C1(97,239) = 0.8616464405209506018 C2(97,239) = 1.512773494121181496 C3(97,239) = 3.706807203077918756 C4(97,239) = 1912 Sum = 4877.596068007040628 Averaged sum = 0.4873210178846079156 logp*logq = 25.05323793439471263 -------------- ************************************* p = 97; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78893189780.30589713 -------------- Searches starting with [97,241]-exponents: u = 223, v = 5 n_start has 455 digits --- performed 5000 steps in the continued fraction search [97,241]-exponents: u = 132, v = 57 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,241) = 0.6414682027726762111 D2(97,241) = 0.1856137431913751468 C1(97,241) = 0.8218546158417158896 C2(97,241) = 1.319231445395696718 C3(97,241) = 3.489176375014851257 C4(97,241) = 1928 Sum = 5370.462801860901672 Averaged sum = 0.5370999901851086781 logp*logq = 25.09136074650138783 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,241) = 0.6414682027726762111 D2(97,241) = 0.1856137431913751468 C1(97,241) = 0.8218546158417158896 C2(97,241) = 1.319231445395696718 C3(97,241) = 3.489176375014851257 C4(97,241) = 1928 Sum = 5370.462801860901672 Averaged sum = 0.5370999901851086781 logp*logq = 25.09136074650138783 -------------- ************************************* p = 97; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95019713908.96665929 -------------- Searches starting with [97,251]-exponents: u = 6, v = 24 n_start has 70 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(97,251) = 0.7331012337884161053 D2(97,251) = 0.04659071641096316745 C1(97,251) = 0.9790334707213332809 C2(97,251) = 1.717716626989685077 C3(97,251) = 4.431167096737270802 C4(97,251) = 2008 Sum = 4558.743560759153592 Averaged sum = 0.4554644380816418815 logp*logq = 25.27735022184995563 -------------- ************************************* p = 97; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105863809201.8628960 -------------- Searches starting with [97,257]-exponents: u = 6, v = 14 n_start has 46 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(97,257) = 0.6770446207420543630 D2(97,257) = 0.007042625093271932931 C1(97,257) = 0.8882105991332120818 C2(97,257) = 1.683320728078850786 C3(97,257) = 3.859597383512592796 C4(97,257) = 2056 Sum = 4678.914200486438968 Averaged sum = 0.4674706964218642190 logp*logq = 25.38541928612073157 -------------- ************************************* p = 97; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117651679206.4009398 -------------- Searches starting with [97,263]-exponents: u = 6, v = 9 n_start has 34 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(97,263) = 0.5721841837732880541 D2(97,263) = 0.05450987023474835552 C1(97,263) = 0.7632369889105997516 C2(97,263) = 1.871387570873113753 C3(97,263) = 3.191640537633731926 C4(97,263) = 2104 Sum = 4640.416025521673981 Averaged sum = 0.4636243406455863704 logp*logq = 25.49099422491551136 -------------- ************************************* p = 97; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130441093346.7676916 -------------- Searches starting with [97,269]-exponents: u = 11, v = 4 n_start has 32 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(97,269) = 0.8860736165209206671 D2(97,269) = 0.06595150994068009583 C1(97,269) = 1.447946986664271924 C2(97,269) = 1.200109623333295738 C3(97,269) = 9.040065425303284203 C4(97,269) = 2152 Sum = 4556.101182562355421 Averaged sum = 0.4552004378621595985 logp*logq = 25.59418756982234023 -------------- ************************************* p = 97; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134937085410.2089401 -------------- Searches starting with [97,271]-exponents: u = 11, v = 4 n_start has 32 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(97,271) = 0.6847645389972399805 D2(97,271) = 0.06802779671015006746 C1(97,271) = 0.9390700251326864491 C2(97,271) = 1.925261875909863243 C3(97,271) = 4.169919970982060012 C4(97,271) = 2168 Sum = 4649.486041967427645 Averaged sum = 0.4645305267226923413 logp*logq = 25.62807447275879371 -------------- ************************************* p = 97; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149155411400.8528166 -------------- Searches starting with [97,277]-exponents: u = 11, v = 4 n_start has 32 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(97,277) = 0.7808456317111910547 D2(97,277) = 0.01042180414166409687 C1(97,277) = 1.023260617903192771 C2(97,277) = 1.872477934635571289 C3(97,277) = 4.739408337100924278 C4(97,277) = 2216 Sum = 4681.018865542651895 Averaged sum = 0.4676809736779550300 logp*logq = 25.72825462885043416 -------------- ************************************* p = 97; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 159266224435.8094949 -------------- Searches starting with [97,281]-exponents: u = 16, v = 4 n_start has 42 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(97,281) = 0.8300706192953815116 D2(97,281) = 0.1439362333617023660 C1(97,281) = 1.147974745268638506 C2(97,281) = 1.878687955806443672 C3(97,281) = 5.729026168066707915 C4(97,281) = 2248 Sum = 4180.734865129341622 Averaged sum = 0.4176975587100950766 logp*logq = 25.79384300649689758 -------------- ************************************* p = 97; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164518341794.4541250 -------------- Searches starting with [97,283]-exponents: u = 16, v = 4 n_start has 42 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(97,283) = 1.055091234153417879 D2(97,283) = 0.1046498860690186829 C1(97,283) = 1.450198895488211602 C2(97,283) = 1.840898685459502872 C3(97,283) = 9.071072798996710454 C4(97,283) = 2264 Sum = 4859.983458278380091 Averaged sum = 0.4855613406212788581 logp*logq = 25.82628790120638248 -------------- ************************************* p = 97; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 192844112893.0987730 -------------- Searches starting with [97,293]-exponents: u = 36, v = 4 n_start has 82 digits starting right neighbors generation We generated 553 left neighbors We generated 9457 right neighbors We generated 10009 non-negative rho_i D1(97,293) = 0.6872890083173959278 D2(97,293) = 0.02022669580547185342 C1(97,293) = 0.8961354316111502592 C2(97,293) = 1.675762816174821970 C3(97,293) = 3.906387078330315646 C4(97,293) = 2344 Sum = 4355.599622192873140 Averaged sum = 0.4351683107396216545 logp*logq = 25.98514799426458091 -------------- ************************************* p = 97; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 238747719183.7427382 -------------- Searches starting with [97,307]-exponents: u = 5, v = 135 n_start has 346 digits --- performed 5000 steps in the continued fraction search [97,307]-exponents: u = 88, v = 35 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,307) = 0.9579415709265078236 D2(97,307) = 0.005060618644800432078 C1(97,307) = 1.241883332645004257 C2(97,307) = 1.337365778069128712 C3(97,307) = 6.608374162835842354 C4(97,307) = 2456 Sum = 5163.834019506472415 Averaged sum = 0.5164350454551927607 logp*logq = 26.19867326310452061 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,307) = 0.9579415709265078236 D2(97,307) = 0.005060618644800432078 C1(97,307) = 1.241883332645004257 C2(97,307) = 1.337365778069128712 C3(97,307) = 6.608374162835842354 C4(97,307) = 2456 Sum = 5163.834019506472415 Averaged sum = 0.5164350454551927607 logp*logq = 26.19867326310452061 -------------- ************************************* p = 97; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 253313490035.1618996 -------------- Searches starting with [97,311]-exponents: u = 5, v = 51 n_start has 138 digits starting right neighbors generation We generated 1530 left neighbors We generated 8480 right neighbors We generated 10009 non-negative rho_i D1(97,311) = 0.6208362742629157238 D2(97,311) = 0.01666651367842645870 C1(97,311) = 0.8138724816660416976 C2(97,311) = 1.543507932150991060 C3(97,311) = 3.447083565644192053 C4(97,311) = 2488 Sum = 4753.722811441651988 Averaged sum = 0.4749448307964483952 logp*logq = 26.25789364968224545 -------------- ************************************* p = 97; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 260851944398.9000152 -------------- Searches starting with [97,313]-exponents: u = 5, v = 39 n_start has 108 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(97,313) = 0.8159011739822994387 D2(97,313) = 0.03266110614397787281 C1(97,313) = 1.083579603556105965 C2(97,313) = 1.605728233336130734 C3(97,313) = 5.194653623985689974 C4(97,313) = 2504 Sum = 4891.261072047368533 Averaged sum = 0.4886862895441471209 logp*logq = 26.28721882047520465 -------------- ************************************* p = 97; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 276454246124.5426034 -------------- Searches starting with [97,317]-exponents: u = 5, v = 27 n_start has 78 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(97,317) = 0.7055387313408263609 D2(97,317) = 0.07155389341120541646 C1(97,317) = 0.9351217924613284458 C2(97,317) = 1.703289202238836827 C3(97,317) = 4.144961019832265446 C4(97,317) = 2536 Sum = 4520.288077947043449 Averaged sum = 0.4516223476817907333 logp*logq = 26.34531116907900147 -------------- ************************************* p = 97; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 336887414680.2189035 -------------- Searches starting with [97,331]-exponents: u = 5, v = 11 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(97,331) = 1.146647067868652073 D2(97,331) = 0.06746621564101240658 C1(97,331) = 1.587907312989964577 C2(97,331) = 1.885615555502105932 C3(97,331) = 11.18397756289494032 C4(97,331) = 2648 Sum = 5540.898843966632320 Averaged sum = 0.5535916519099442821 logp*logq = 26.54301463041366126 -------------- ************************************* p = 97; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365743197272.8932879 -------------- Searches starting with [97,337]-exponents: u = 5, v = 11 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(97,337) = 0.8835032498498770570 D2(97,337) = 0.09840073088942110146 C1(97,337) = 1.392626045573471718 C2(97,337) = 1.226229544409453748 C3(97,337) = 8.310738826587668169 C4(97,337) = 2696 Sum = 4367.502639809405808 Averaged sum = 0.4363575421929669106 logp*logq = 26.62519727728308836 -------------- ************************************* p = 97; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 418093231996.5791374 -------------- Searches starting with [97,347]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(97,347) = 0.6759773256636654224 D2(97,347) = 0.07605296968594801450 C1(97,347) = 0.9119043322002003737 C2(97,347) = 1.690630225070956924 C3(97,347) = 4.001183632965944970 C4(97,347) = 2776 Sum = 4300.760491534403772 Averaged sum = 0.4296893287575585744 logp*logq = 26.75897028765478062 -------------- ************************************* p = 97; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 429231313309.4935376 -------------- Searches starting with [97,349]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(97,349) = 0.8553750697276171137 D2(97,349) = 0.06475365526687927935 C1(97,349) = 1.230669330776688921 C2(97,349) = 1.680417662977301386 C3(97,349) = 6.496647531190782044 C4(97,349) = 2792 Sum = 4222.857683361913901 Averaged sum = 0.4219060528885916576 logp*logq = 26.78526180242634811 -------------- ************************************* p = 97; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 452202454684.7726755 -------------- Searches starting with [97,353]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(97,353) = 0.8155225418323344326 D2(97,353) = 0.03831773885342988230 C1(97,353) = 1.079846900135133303 C2(97,353) = 1.467896948401767024 C3(97,353) = 5.165253643188576870 C4(97,353) = 2824 Sum = 4817.694771780827707 Averaged sum = 0.4813362745310048663 logp*logq = 26.83739582509216098 -------------- ************************************* p = 97; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 488448325423.7064634 -------------- Searches starting with [97,359]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(97,359) = 1.215091198870727933 D2(97,359) = 0.01159163909548851853 C1(97,359) = 2.055969764908225403 C2(97,359) = 1.030463091515619223 C3(97,359) = 22.78702987043121379 C4(97,359) = 2872 Sum = 3838.858521845220072 Averaged sum = 0.3835406655854950616 logp*logq = 26.91449952069207361 -------------- ************************************* p = 97; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 540263963480.2538245 -------------- Searches starting with [97,367]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(97,367) = 0.8029319927182190701 D2(97,367) = 0.04553315492576908232 C1(97,367) = 1.089348407234291596 C2(97,367) = 1.595998713426049501 C3(97,367) = 5.240420087616870932 C4(97,367) = 2936 Sum = 4789.877904122298430 Averaged sum = 0.4785570890321009521 logp*logq = 27.01532367833026828 -------------- ************************************* p = 97; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 581868204574.9806580 -------------- Searches starting with [97,373]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(97,373) = 1.126479496877270341 D2(97,373) = 0.07741138401592447973 C1(97,373) = 1.435589717202514929 C2(97,373) = 1.855966078537787842 C3(97,373) = 8.871790584275755318 C4(97,373) = 2984 Sum = 4184.985282733305165 Averaged sum = 0.4181222182768813233 logp*logq = 27.08950980641327466 -------------- ************************************* p = 97; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 625934808377.7299523 -------------- Searches starting with [97,379]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(97,379) = 0.8848087176515754126 D2(97,379) = 0.1040204518552695816 C1(97,379) = 1.212084671341294391 C2(97,379) = 1.885490227512346045 C3(97,379) = 6.315629890079655457 C4(97,379) = 3032 Sum = 4153.913085415685872 Averaged sum = 0.4150177925282931234 logp*logq = 27.16251206265188894 -------------- ************************************* p = 97; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 656731414247.7689449 -------------- Searches starting with [97,383]-exponents: u = 13, v = 3 n_start has 34 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(97,383) = 1.148976689292390625 D2(97,383) = 0.06904104706961055653 C1(97,383) = 1.830108680253167814 C2(97,383) = 1.072961695204968884 C3(97,383) = 16.16356927166198993 C4(97,383) = 3064 Sum = 2823.803029003547138 Averaged sum = 0.2821263891501196061 logp*logq = 27.21054096552695107 -------------- ************************************* p = 97; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 705132732034.7005875 -------------- Searches starting with [97,389]-exponents: u = 13, v = 3 n_start has 34 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(97,389) = 0.8649571248429470773 D2(97,389) = 0.06128281243929972571 C1(97,389) = 1.171498876740803849 C2(97,389) = 1.975350044939382750 C3(97,389) = 5.937659480071651368 C4(97,389) = 3112 Sum = 4692.390739238323983 Averaged sum = 0.4688171384991831334 logp*logq = 27.28165189442730390 -------------- ************************************* p = 97; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 773954557772.5358953 -------------- Searches starting with [97,397]-exponents: u = 17, v = 3 n_start has 42 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(97,397) = 0.8839794679907194288 D2(97,397) = 0.1223165973264242216 C1(97,397) = 1.358398119524618708 C2(97,397) = 1.243351160157972888 C3(97,397) = 7.889268843467815150 C4(97,397) = 3176 Sum = 4072.511778586569956 Averaged sum = 0.4068849813754191184 logp*logq = 27.37477899792439010 -------------- ************************************* p = 97; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 810276307022.1216548 -------------- Searches starting with [97,401]-exponents: u = 17, v = 3 n_start has 42 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(97,401) = 0.8243368016259886851 D2(97,401) = 0.1159069333048065304 C1(97,401) = 1.168924654829768125 C2(97,401) = 1.932275089993516498 C3(97,401) = 5.914463622064531039 C4(97,401) = 3208 Sum = 3903.832226628463436 Averaged sum = 0.3900321936885266696 logp*logq = 27.42064114622516824 -------------- ************************************* p = 97; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 886909465590.4232691 -------------- Searches starting with [97,409]-exponents: u = 21, v = 3 n_start has 50 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(97,409) = 0.6168244518589360376 D2(97,409) = 0.01242656680821731575 C1(97,409) = 0.8137756750377257604 C2(97,409) = 1.833049022624667013 C3(97,409) = 3.446576196796308041 C4(97,409) = 3272 Sum = 4477.112714463781100 Averaged sum = 0.4473086936221182036 logp*logq = 27.51100874594118909 -------------- ************************************* p = 97; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 990538314339.9646401 -------------- Searches starting with [97,419]-exponents: u = 29, v = 3 n_start has 66 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(97,419) = 0.7914097792579600632 D2(97,419) = 0.07105234564974439875 C1(97,419) = 1.135586247805816566 C2(97,419) = 1.761122145062172210 C3(97,419) = 5.622117169375687533 C4(97,419) = 3352 Sum = 4271.202573819059205 Averaged sum = 0.4267361948065799985 logp*logq = 27.62151438415412289 -------------- ************************************* p = 97; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1012353327101.698992 -------------- Searches starting with [97,421]-exponents: u = 33, v = 3 n_start has 74 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(97,421) = 0.6720327618163736995 D2(97,421) = 0.03474000236678521617 C1(97,421) = 0.8694493375091138508 C2(97,421) = 1.725773745273818635 C3(97,421) = 3.751049090815088566 C4(97,421) = 3368 Sum = 4417.248390918401381 Averaged sum = 0.4413276442120492938 logp*logq = 27.64329876331179600 -------------- ************************************* p = 97; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1127125020084.602192 -------------- Searches starting with [97,431]-exponents: u = 57, v = 3 n_start has 122 digits starting right neighbors generation We generated 970 left neighbors We generated 9040 right neighbors We generated 10009 non-negative rho_i D1(97,431) = 0.7284944919535385163 D2(97,431) = 0.002289703100064836031 C1(97,431) = 0.9979562783724180874 C2(97,431) = 1.576265611127228282 C3(97,431) = 4.560516820583973485 C4(97,431) = 3448 Sum = 4831.796109000840709 Averaged sum = 0.4827451402738376170 logp*logq = 27.75069127658580277 -------------- ************************************* p = 97; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1151251274885.453071 -------------- Searches starting with [97,433]-exponents: u = 69, v = 3 n_start has 145 digits starting right neighbors generation We generated 1345 left neighbors We generated 8665 right neighbors We generated 10009 non-negative rho_i D1(97,433) = 0.6512022241847756375 D2(97,433) = 0.02445370605240630187 C1(97,433) = 0.8850606126863637887 C2(97,433) = 1.544073076441882256 C3(97,433) = 3.841155303969690648 C4(97,433) = 3464 Sum = 3945.269429712085051 Averaged sum = 0.3941721880020066991 logp*logq = 27.77187053190767340 -------------- ************************************* p = 97; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1226059229796.955905 -------------- Searches starting with [97,439]-exponents: u = 133, v = 3 n_start has 273 digits starting right neighbors generation We generated 4775 left neighbors We generated 5235 right neighbors We generated 10009 non-negative rho_i D1(97,439) = 0.6718579192241861118 D2(97,439) = 0.01549494962957657845 C1(97,439) = 0.8807569528967301004 C2(97,439) = 1.390988759610078776 C3(97,439) = 3.816101225154620501 C4(97,439) = 3512 Sum = 4770.779083856556653 Averaged sum = 0.4766489243537373017 logp*logq = 27.83482626369237560 -------------- ************************************* p = 97; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1278003902274.065318 -------------- Searches starting with [97,443]-exponents: u = 333, v = 3 n_start has 670 digits **************************************************** Computing .... elapsed time = 14 minutes **************************************************** --- performed 5000 steps in the continued fraction search [97,443]-exponents: u = 34, v = 212 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,443) = 0.5846180052121673067 D2(97,443) = 0.2126754043766375729 C1(97,443) = 0.7376681623965405843 C2(97,443) = 1.344692942640501718 C3(97,443) = 3.069935483358473163 C4(97,443) = 3544 Sum = 5470.026814659398143 Averaged sum = 0.5470573872046602803 logp*logq = 27.87632052530181591 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,443) = 0.5846180052121673067 D2(97,443) = 0.2126754043766375729 C1(97,443) = 0.7376681623965405843 C2(97,443) = 1.344692942640501718 C3(97,443) = 3.069935483358473163 C4(97,443) = 3544 Sum = 5470.026814659398143 Averaged sum = 0.5470573872046602803 logp*logq = 27.87632052530181591 -------------- ************************************* p = 97; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1359128294878.538298 -------------- Searches starting with [97,449]-exponents: u = 4, v = 203 n_start has 547 digits --- performed 5000 steps in the continued fraction search [97,449]-exponents: u = 101, v = 111 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,449) = 0.5484043145266426659 D2(97,449) = 0.1459820253313660707 C1(97,449) = 0.7028168341177054118 C2(97,449) = 1.326459746285337328 C3(97,449) = 2.911485944537615762 C4(97,449) = 3592 Sum = 5350.914523935307915 Averaged sum = 0.5351449668902198134 logp*logq = 27.93786465052592276 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,449) = 0.5484043145266426659 D2(97,449) = 0.1459820253313660707 C1(97,449) = 0.7028168341177054118 C2(97,449) = 1.326459746285337328 C3(97,449) = 2.911485944537615762 C4(97,449) = 3592 Sum = 5350.914523935307915 Averaged sum = 0.5351449668902198134 logp*logq = 27.93786465052592276 -------------- ************************************* p = 97; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1473492203815.942164 -------------- Searches starting with [97,457]-exponents: u = 4, v = 59 n_start has 165 digits starting right neighbors generation We generated 1720 left neighbors We generated 8290 right neighbors We generated 10009 non-negative rho_i D1(97,457) = 0.6199728783388595316 D2(97,457) = 0.01705271882360971700 C1(97,457) = 0.8052666408056655469 C2(97,457) = 1.513597650437957319 C3(97,457) = 3.402270404076537913 C4(97,457) = 3656 Sum = 4742.399581447886890 Averaged sum = 0.4738135259714144160 logp*logq = 28.01865634818104388 -------------- ************************************* p = 97; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1533422625110.877242 -------------- Searches starting with [97,461]-exponents: u = 4, v = 44 n_start has 126 digits starting right neighbors generation We generated 1003 left neighbors We generated 9007 right neighbors We generated 10009 non-negative rho_i D1(97,461) = 0.6347943813056654075 D2(97,461) = 0.01828575045139454707 C1(97,461) = 0.8204702809670697065 C2(97,461) = 1.590772543714321875 C3(97,461) = 3.481839587580548720 C4(97,461) = 3688 Sum = 4444.294089436140936 Averaged sum = 0.4440297821396883741 logp*logq = 28.05852336282793121 -------------- ************************************* p = 97; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1564093184854.065224 -------------- Searches starting with [97,463]-exponents: u = 4, v = 38 n_start has 110 digits starting right neighbors generation We generated 750 left neighbors We generated 9260 right neighbors We generated 10009 non-negative rho_i D1(97,463) = 1.015978377015048376 D2(97,463) = 0.01792588808604387267 C1(97,463) = 1.319996662780133211 C2(97,463) = 1.623156667612497807 C3(97,463) = 7.441797175257101554 C4(97,463) = 3704 Sum = 4516.779780046816038 Averaged sum = 0.4512718333546624077 logp*logq = 28.07832733738552114 -------------- ************************************* p = 97; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1626871453187.319860 -------------- Searches starting with [97,467]-exponents: u = 4, v = 32 n_start has 94 digits starting right neighbors generation We generated 533 left neighbors We generated 9477 right neighbors We generated 10009 non-negative rho_i D1(97,467) = 0.6652515127781286450 D2(97,467) = 0.04332897217127479779 C1(97,467) = 0.8529546664114189590 C2(97,467) = 1.687310575009504205 C3(97,467) = 3.658139530281452678 C4(97,467) = 3736 Sum = 4112.074264059915747 Averaged sum = 0.4108376725007409079 logp*logq = 28.11767993255445179 -------------- ************************************* p = 97; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1827091508842.104906 -------------- Searches starting with [97,479]-exponents: u = 4, v = 20 n_start has 62 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(97,479) = 0.6309111856327264331 D2(97,479) = 0.08328350147020226338 C1(97,479) = 0.8242132106088993252 C2(97,479) = 1.830407993177390335 C3(97,479) = 3.501712234263975569 C4(97,479) = 3832 Sum = 4566.202092436157341 Averaged sum = 0.4562096205850891539 logp*logq = 28.23374647901160036 -------------- ************************************* p = 97; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1970916584404.270454 -------------- Searches starting with [97,487]-exponents: u = 4, v = 17 n_start has 54 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(97,487) = 0.8625914933550140205 D2(97,487) = 0.06838841939418919993 C1(97,487) = 1.280923928972127343 C2(97,487) = 1.887418228725705671 C3(97,487) = 7.012544265403108160 C4(97,487) = 3896 Sum = 3581.813944936751913 Averaged sum = 0.3578593211046809784 logp*logq = 28.30951982174453257 -------------- ************************************* p = 97; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2046067919419.901619 -------------- Searches starting with [97,491]-exponents: u = 4, v = 14 n_start has 46 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(97,491) = 0.5935202578813397177 D2(97,491) = 0.1184111609401587239 C1(97,491) = 0.7866523873995465002 C2(97,491) = 1.938788694180409888 C3(97,491) = 3.307323302254296338 C4(97,491) = 3928 Sum = 4485.975414103663546 Averaged sum = 0.4481941666603720198 logp*logq = 28.34694097910441175 -------------- ************************************* p = 97; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2203079590546.571752 -------------- Searches starting with [97,499]-exponents: u = 4, v = 11 n_start has 38 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(97,499) = 0.9397807761923957439 D2(97,499) = 0.03464448764808599070 C1(97,499) = 1.243787486301199390 C2(97,499) = 1.950215490761158786 C3(97,499) = 6.627535435003278183 C4(97,499) = 3992 Sum = 4977.947639287984990 Averaged sum = 0.4973471514924552893 logp*logq = 28.42087731135151079 -------------- ************************************* p = 97; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2285034283599.235642 -------------- Searches starting with [97,503]-exponents: u = 4, v = 11 n_start has 38 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(97,503) = 0.7251256904330195099 D2(97,503) = 0.06780051806689757629 C1(97,503) = 1.037809622850133965 C2(97,503) = 1.984750052949136642 C3(97,503) = 4.845423735142914695 C4(97,503) = 4024 Sum = 4014.600929242946335 Averaged sum = 0.4010991037309367904 logp*logq = 28.45740214392550254 -------------- ************************************* p = 97; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2412412413620.099799 -------------- Searches starting with [97,509]-exponents: u = 4, v = 11 n_start has 38 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(97,509) = 0.6797765951004051340 D2(97,509) = 0.1153807314985492177 C1(97,509) = 0.9072832720943809747 C2(97,509) = 1.458206563574949248 C3(97,509) = 3.973167766427283264 C4(97,509) = 4072 Sum = 4173.997321682825725 Averaged sum = 0.4170244101991033795 logp*logq = 28.51164836426530935 -------------- ************************************* p = 97; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2683782765144.911527 -------------- Searches starting with [97,521]-exponents: u = 4, v = 8 n_start has 30 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(97,521) = 0.6344021026706221182 D2(97,521) = 0.1100477735838781025 C1(97,521) = 0.8638210151287499160 C2(97,521) = 1.890838193322247883 C3(97,521) = 3.719084178012794435 C4(97,521) = 4168 Sum = 4147.694030704977572 Averaged sum = 0.4143964462688557870 logp*logq = 28.61824839478212312 -------------- ************************************* p = 97; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2731237842424.229343 -------------- Searches starting with [97,523]-exponents: u = 4, v = 8 n_start has 30 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(97,523) = 0.9536601636047006989 D2(97,523) = 0.1035383251570809751 C1(97,523) = 1.398742384740262250 C2(97,523) = 1.885052666402641546 C3(97,523) = 8.388390553626983952 C4(97,523) = 4184 Sum = 3784.846833324127661 Averaged sum = 0.3781443534143398602 logp*logq = 28.63577604449408108 -------------- ************************************* p = 97; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3188508177116.753566 -------------- Searches starting with [97,541]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(97,541) = 0.9327621379761918715 D2(97,541) = 0.04217460313540073321 C1(97,541) = 1.524241441992266691 C2(97,541) = 1.233465664053099115 C3(97,541) = 10.15204792912655878 C4(97,541) = 4328 Sum = 4487.606493121918307 Averaged sum = 0.4483571278970844547 logp*logq = 28.79057426726384135 -------------- ************************************* p = 97; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3353518301327.284153 -------------- Searches starting with [97,547]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(97,547) = 0.6057545813145378087 D2(97,547) = 0.03847940823929258154 C1(97,547) = 0.8005928810787310115 C2(97,547) = 2.005519656669199030 C3(97,547) = 3.378177353728744578 C4(97,547) = 4376 Sum = 4379.995458819735984 Averaged sum = 0.4376057007512974307 logp*logq = 28.84103114985234164 -------------- ************************************* p = 97; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3643291384053.891271 -------------- Searches starting with [97,557]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(97,557) = 0.6255568694892401602 D2(97,557) = 0.01153961194388766665 C1(97,557) = 0.8232189654726013380 C2(97,557) = 1.982358429982785035 C3(97,557) = 3.496422369811054896 C4(97,557) = 4456 Sum = 4405.100097897294819 Averaged sum = 0.4401139072731836166 logp*logq = 28.92390861539922087 -------------- ************************************* p = 97; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3826317027213.890986 -------------- Searches starting with [97,563]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(97,563) = 0.9983103198697739797 D2(97,563) = 0.1150550838282887366 C1(97,563) = 1.523520222821325961 C2(97,563) = 1.204132055911691894 C3(97,563) = 10.14092083746712235 C4(97,563) = 4504 Sum = 3275.337718878029226 Averaged sum = 0.3272392565569017110 logp*logq = 28.97292384478246348 -------------- ************************************* p = 97; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4016449696665.901466 -------------- Searches starting with [97,569]-exponents: u = 18, v = 5 n_start has 50 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(97,569) = 0.6242328610112300937 D2(97,569) = 0.1344875676680942446 C1(97,569) = 0.8286026597724795438 C2(97,569) = 1.951369489597353548 C3(97,569) = 3.525162051113311599 C4(97,569) = 4552 Sum = 4408.042529148117131 Averaged sum = 0.4404078858175758948 logp*logq = 29.02141946831053234 -------------- ************************************* p = 97; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4081440485672.030672 -------------- Searches starting with [97,571]-exponents: u = 18, v = 5 n_start has 50 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(97,571) = 1.015914217119293029 D2(97,571) = 0.1175698811088360973 C1(97,571) = 1.343917832623559866 C2(97,571) = 1.935155291488028012 C3(97,571) = 7.717462014205784001 C4(97,571) = 4568 Sum = 4881.244097778845801 Averaged sum = 0.4876854928343336798 logp*logq = 29.03747110224726023 -------------- ************************************* p = 97; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4281355650696.599524 -------------- Searches starting with [97,577]-exponents: u = 25, v = 5 n_start has 64 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(97,577) = 0.7238454128556484486 D2(97,577) = 0.07157451578814751619 C1(97,577) = 0.9736111573404383890 C2(97,577) = 1.891255499709263674 C3(97,577) = 4.394782926296232247 C4(97,577) = 4616 Sum = 4300.673846797183185 Averaged sum = 0.4296806720748509526 logp*logq = 29.08529081618743337 -------------- ************************************* p = 97; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4631472793994.241312 -------------- Searches starting with [97,587]-exponents: u = 39, v = 5 n_start has 92 digits starting right neighbors generation We generated 696 left neighbors We generated 9314 right neighbors We generated 10009 non-negative rho_i D1(97,587) = 0.6093186343342465743 D2(97,587) = 0.006417498803855588789 C1(97,587) = 0.8178642637720258015 C2(97,587) = 1.829542494510989570 C3(97,587) = 3.468069880052032335 C4(97,587) = 4696 Sum = 4477.329780498084336 Averaged sum = 0.4473303807071719788 logp*logq = 29.16389603149914288 -------------- ************************************* p = 97; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4852033042052.265805 -------------- Searches starting with [97,593]-exponents: u = 60, v = 5 n_start has 134 digits starting right neighbors generation We generated 1461 left neighbors We generated 8549 right neighbors We generated 10009 non-negative rho_i D1(97,593) = 0.7175589927355248413 D2(97,593) = 0.01259021267945056335 C1(97,593) = 0.9770532248484707405 C2(97,593) = 1.737340905989747638 C3(97,593) = 4.417844698164528501 C4(97,593) = 4744 Sum = 4744.813966275001081 Averaged sum = 0.4740547473548807155 logp*logq = 29.21041891697320400 -------------- ************************************* p = 97; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5080716664714.198767 -------------- Searches starting with [97,599]-exponents: u = 137, v = 5 n_start has 287 digits --- performed 5000 steps in the continued fraction search [97,599]-exponents: u = 54, v = 16 --- starting right neighbors generation We generated 6819 left neighbors We generated 3191 right neighbors We generated 10009 non-negative rho_i D1(97,599) = 1.299000505115705864 D2(97,599) = 0.01482827601743479719 C1(97,599) = 1.700462794041125706 C2(97,599) = 1.571438038551534652 C3(97,599) = 13.27161689692903947 C4(97,599) = 4792 Sum = 4861.890894286087018 Averaged sum = 0.4857519127071722467 logp*logq = 29.25647344329983508 -------------- ************************************* p = 97; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5158786503450.058355 -------------- Searches starting with [97,601]-exponents: u = 207, v = 5 n_start has 426 digits --- performed 5000 steps in the continued fraction search [97,601]-exponents: u = 156, v = 15 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,601) = 0.5438604318234581731 D2(97,601) = 0.1167553293545040599 C1(97,601) = 0.7126558995095077711 C2(97,601) = 1.436743603851360763 C3(97,601) = 2.955371351611064496 C4(97,601) = 4808 Sum = 5115.479287105792546 Averaged sum = 0.5115990886194411987 logp*logq = 29.27172249401434822 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,601) = 0.5438604318234581731 D2(97,601) = 0.1167553293545040599 C1(97,601) = 0.7126558995095077711 C2(97,601) = 1.436743603851360763 C3(97,601) = 2.955371351611064496 C4(97,601) = 4808 Sum = 5115.479287105792546 Averaged sum = 0.5115990886194411987 logp*logq = 29.27172249401434822 -------------- ************************************* p = 97; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5398633686769.166366 -------------- Searches starting with [97,607]-exponents: u = 7, v = 232 n_start has 660 digits --- performed 5000 steps in the continued fraction search [97,607]-exponents: u = 31, v = 199 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,607) = 0.8263413204356043138 D2(97,607) = 0.2638325697654610583 C1(97,607) = 1.043583068181974424 C2(97,607) = 1.445668703107840052 C3(97,607) = 4.888147877853016142 C4(97,607) = 4856 Sum = 5375.161621952335543 Averaged sum = 0.5375699191871522695 logp*logq = 29.31716701651489826 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,607) = 0.8263413204356043138 D2(97,607) = 0.2638325697654610583 C1(97,607) = 1.043583068181974424 C2(97,607) = 1.445668703107840052 C3(97,607) = 4.888147877853016142 C4(97,607) = 4856 Sum = 5375.161621952335543 Averaged sum = 0.5375699191871522695 logp*logq = 29.31716701651489826 -------------- ************************************* p = 97; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5647107236697.197108 -------------- Searches starting with [97,613]-exponents: u = 7, v = 62 n_start has 187 digits starting right neighbors generation We generated 2914 left neighbors We generated 7096 right neighbors We generated 10009 non-negative rho_i D1(97,613) = 0.8036714983130423255 D2(97,613) = 0.004859086147941452235 C1(97,613) = 1.072643147666406405 C2(97,613) = 1.674684365840273430 C3(97,613) = 5.108984161785087697 C4(97,613) = 4904 Sum = 4941.463631589937233 Averaged sum = 0.4937020313307960069 logp*logq = 29.36216453646854765 -------------- ************************************* p = 97; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5817657813366.610998 -------------- Searches starting with [97,617]-exponents: u = 7, v = 42 n_start has 132 digits starting right neighbors generation We generated 1423 left neighbors We generated 8587 right neighbors We generated 10009 non-negative rho_i D1(97,617) = 0.5757204427640621586 D2(97,617) = 0.008922939372429560435 C1(97,617) = 0.7570293079827561489 C2(97,617) = 1.755393690039643953 C3(97,617) = 3.161656220469710158 C4(97,617) = 4936 Sum = 4570.468780467908938 Averaged sum = 0.4566359057316324246 logp*logq = 29.39191885910629077 -------------- ************************************* p = 97; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5904428402100.760235 -------------- Searches starting with [97,619]-exponents: u = 7, v = 37 n_start has 118 digits starting right neighbors generation We generated 1105 left neighbors We generated 8905 right neighbors We generated 10009 non-negative rho_i D1(97,619) = 0.6087731592854529619 D2(97,619) = 0.02557002969235576268 C1(97,619) = 0.7904998549179900639 C2(97,619) = 1.772562784683821030 C3(97,619) = 3.326728650973690481 C4(97,619) = 4952 Sum = 4402.133624426468112 Averaged sum = 0.4398175266686450306 logp*logq = 29.40672376192570309 -------------- ************************************* p = 97; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6446515776791.499572 -------------- Searches starting with [97,631]-exponents: u = 7, v = 17 n_start has 62 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(97,631) = 0.7445795479033134445 D2(97,631) = 0.03504577170384785394 C1(97,631) = 1.074273731728934336 C2(97,631) = 1.893242342744277116 C3(97,631) = 5.121666960661948786 C4(97,631) = 5048 Sum = 4031.341087013245555 Averaged sum = 0.4027716142485009047 logp*logq = 29.49456091113650983 -------------- ************************************* p = 97; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6927303935697.034592 -------------- Searches starting with [97,641]-exponents: u = 7, v = 12 n_start has 48 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(97,641) = 0.6365660400028600647 D2(97,641) = 0.09101794257236471584 C1(97,641) = 0.8522053320119550741 C2(97,641) = 1.951928660746159520 C3(97,641) = 3.653973835953241764 C4(97,641) = 5128 Sum = 4540.721068362046452 Averaged sum = 0.4536638094077376812 logp*logq = 29.56649181096574531 -------------- ************************************* p = 97; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7026734879263.599714 -------------- Searches starting with [97,643]-exponents: u = 7, v = 12 n_start has 48 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(97,643) = 0.8699204946532167899 D2(97,643) = 0.1031789487979133297 C1(97,643) = 1.134978345871532888 C2(97,643) = 1.964627314437836480 C3(97,643) = 5.616922815057596235 C4(97,643) = 5144 Sum = 4495.338054053310951 Averaged sum = 0.4491295887754332052 logp*logq = 29.58074325856156627 -------------- ************************************* p = 97; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7228940868339.332252 -------------- Searches starting with [97,647]-exponents: u = 7, v = 12 n_start has 48 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(97,647) = 0.8551880322684544915 D2(97,647) = 0.1287159594591645838 C1(97,647) = 1.102766819684682712 C2(97,647) = 1.991234524725930906 C3(97,647) = 5.348440080467142252 C4(97,647) = 5176 Sum = 4047.199378441984276 Averaged sum = 0.4043560174285127661 logp*logq = 29.60911365012895879 -------------- ************************************* p = 97; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7540744637168.736343 -------------- Searches starting with [97,653]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(97,653) = 1.085078560733942453 D2(97,653) = 0.1003156930892872663 C1(97,653) = 1.667424108602646695 C2(97,653) = 1.195646587133471313 C3(97,653) = 12.62136392602063550 C4(97,653) = 5224 Sum = 3265.569770810385507 Averaged sum = 0.3262633400749710767 logp*logq = 29.65134205131732896 -------------- ************************************* p = 97; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7862959763409.741180 -------------- Searches starting with [97,659]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(97,659) = 0.6581605774632403980 D2(97,659) = 0.1312454736467182932 C1(97,659) = 0.8539282209608227133 C2(97,659) = 1.947056295783036690 C3(97,659) = 3.663558801693789185 C4(97,659) = 5272 Sum = 4496.697487649116259 Averaged sum = 0.4492654098960052212 logp*logq = 29.69318421171890027 -------------- ************************************* p = 97; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7972721216324.574044 -------------- Searches starting with [97,661]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(97,661) = 0.7444753381482988443 D2(97,661) = 0.1221928693195682988 C1(97,661) = 1.043616571197515664 C2(97,661) = 1.938583347235116588 C3(97,661) = 4.888396900102721191 C4(97,661) = 5288 Sum = 4107.688994459082489 Averaged sum = 0.4103995398600342181 logp*logq = 29.70704698286800727 -------------- ************************************* p = 97; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8656683943735.162199 -------------- Searches starting with [97,673]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(97,673) = 1.126099839461027493 D2(97,673) = 0.06475188717859424323 C1(97,673) = 1.464322448168645520 C2(97,673) = 1.680565073816462447 C3(97,673) = 9.267985236464956027 C4(97,673) = 5384 Sum = 4618.257150305825398 Averaged sum = 0.4614104456295159754 logp*logq = 29.78935284874386587 -------------- ************************************* p = 97; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8894572066698.878282 -------------- Searches starting with [97,677]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(97,677) = 0.6324353423012252691 D2(97,677) = 0.002080183159157775925 C1(97,677) = 0.8394905803516906551 C2(97,677) = 2.049978190080712959 C3(97,677) = 3.584008849457374776 C4(97,677) = 5416 Sum = 4521.888454126254858 Averaged sum = 0.4517822413953696531 logp*logq = 29.81646232646790220 -------------- ************************************* p = 97; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9260949389770.763695 -------------- Searches starting with [97,683]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(97,683) = 0.8015135277679644719 D2(97,683) = 0.01059895141392118546 C1(97,683) = 1.062327684402111395 C2(97,683) = 2.060210586805046941 C3(97,683) = 5.029474368930930307 C4(97,683) = 5464 Sum = 4876.699128249442807 Averaged sum = 0.4872314045608395251 logp*logq = 29.85682768522438707 -------------- ************************************* p = 97; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9767679400387.167357 -------------- Searches starting with [97,691]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(97,691) = 1.022368050700373589 D2(97,691) = 0.01266664945316380385 C1(97,691) = 1.697502759932474312 C2(97,691) = 1.189713749584177354 C3(97,691) = 13.21201742321257350 C4(97,691) = 5528 Sum = 4280.304348595154434 Averaged sum = 0.4276455538610405069 logp*logq = 29.91010003078013207 -------------- ************************************* p = 97; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10431276528690.54125 -------------- Searches starting with [97,701]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(97,701) = 0.7417133453517352800 D2(97,701) = 0.02737822105607425247 C1(97,701) = 1.025779916928803934 C2(97,701) = 1.562153344351029103 C3(97,701) = 4.757598424873997710 C4(97,701) = 5608 Sum = 3547.357796530351288 Averaged sum = 0.3544168045289590656 logp*logq = 29.97582976754714306 -------------- ************************************* p = 97; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10987088631270.60094 -------------- Searches starting with [97,709]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(97,709) = 1.143774717402037761 D2(97,709) = 0.04126710277289966692 C1(97,709) = 1.641173681175224974 C2(97,709) = 1.791277438283525134 C3(97,709) = 12.12750496368534481 C4(97,709) = 5672 Sum = 4902.526494833810881 Averaged sum = 0.4898118188464193107 logp*logq = 30.02774193853662606 -------------- ************************************* p = 97; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11714102435201.84994 -------------- Searches starting with [97,719]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(97,719) = 0.7942293835532682594 D2(97,719) = 0.05885796414112098052 C1(97,719) = 1.014081347181282188 C2(97,719) = 1.965284819557945936 C3(97,719) = 4.673717641738404286 C4(97,719) = 5752 Sum = 4157.204376195691501 Averaged sum = 0.4153466256564783196 logp*logq = 30.09181456823963976 -------------- ************************************* p = 97; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12322331402222.57684 -------------- Searches starting with [97,727]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(97,727) = 0.8527296085352302734 D2(97,727) = 0.07025013695615480339 C1(97,727) = 1.099108037285441235 C2(97,727) = 1.978717200671358999 C3(97,727) = 5.318767516960321724 C4(97,727) = 5816 Sum = 4141.431043559243145 Averaged sum = 0.4137707107162796628 logp*logq = 30.14243429332421381 -------------- ************************************* p = 97; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12794479045124.63121 -------------- Searches starting with [97,733]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(97,733) = 0.7799252703378832533 D2(97,733) = 0.07893588337323280799 C1(97,733) = 1.020965400311604474 C2(97,733) = 1.988918117181235506 C3(97,733) = 4.722896734451035592 C4(97,733) = 5864 Sum = 4409.794329709286126 Averaged sum = 0.4405829083534105431 logp*logq = 30.18003486920726971 -------------- ************************************* p = 97; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13280646157711.23419 -------------- Searches starting with [97,739]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(97,739) = 0.9146271537059408952 D2(97,739) = 0.06405048809579584944 C1(97,739) = 1.456916722912307156 C2(97,739) = 1.277460672633612977 C3(97,739) = 9.164206388897791177 C4(97,739) = 5912 Sum = 4336.421343383559791 Averaged sum = 0.4332522073517394136 logp*logq = 30.21732891524730833 -------------- ************************************* p = 97; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13612692851444.91678 -------------- Searches starting with [97,743]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(97,743) = 0.8996406880488377380 D2(97,743) = 0.05970251095007322342 C1(97,743) = 1.432962259069927522 C2(97,743) = 1.278166300404545837 C3(97,743) = 8.836417030607126517 C4(97,743) = 5944 Sum = 4255.171653757776570 Averaged sum = 0.4251345442859203287 logp*logq = 30.24202377131922259 -------------- ************************************* p = 97; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14296232089782.10924 -------------- Searches starting with [97,751]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(97,751) = 0.9849063520690731251 D2(97,751) = 0.04608279566934048842 C1(97,751) = 1.358619468702055368 C2(97,751) = 2.158283016079590809 C3(97,751) = 7.891924589927870051 C4(97,751) = 6008 Sum = 5185.722259555548073 Averaged sum = 0.5181059306179986085 logp*logq = 30.29101712824973414 -------------- ************************************* p = 97; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14826257141766.37425 -------------- Searches starting with [97,757]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(97,757) = 0.6800908512996364451 D2(97,757) = 0.01715685119181446186 C1(97,757) = 0.8812145696896807763 C2(97,757) = 2.131222461945114533 C3(97,757) = 3.818757492604286622 C4(97,757) = 6056 Sum = 4177.313627426971431 Averaged sum = 0.4173557425743802009 logp*logq = 30.32742085598720073 -------------- ************************************* p = 97; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15188050154754.73382 -------------- Searches starting with [97,761]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(97,761) = 0.7436274794767832692 D2(97,761) = 0.1149929462781195004 C1(97,761) = 1.079421542208667643 C2(97,761) = 1.931259305038118563 C3(97,761) = 5.161913965151371069 C4(97,761) = 6088 Sum = 3939.919754971949951 Averaged sum = 0.3936377015657857879 logp*logq = 30.35153006055461726 -------------- ************************************* p = 97; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15932315936336.87819 -------------- Searches starting with [97,769]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(97,769) = 0.5848447106718502528 D2(97,769) = 0.1271218048215528921 C1(97,769) = 0.8011689925500157623 C2(97,769) = 1.945241118163348044 C3(97,769) = 3.381137942311210201 C4(97,769) = 6152 Sum = 4260.251859559451878 Averaged sum = 0.4256421080586923647 logp*logq = 30.39937061135115737 -------------- ************************************* p = 97; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16314975979607.61682 -------------- Searches starting with [97,773]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(97,773) = 1.151590080288640453 D2(97,773) = 0.1152590078652357479 C1(97,773) = 1.497902918849735212 C2(97,773) = 1.426127049800003818 C3(97,773) = 9.753503763282584824 C4(97,773) = 6184 Sum = 4610.669112338011870 Averaged sum = 0.4606523241420733210 logp*logq = 30.42310457368391087 -------------- ************************************* p = 97; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17711176115489.68859 -------------- Searches starting with [97,787]-exponents: u = 16, v = 2 n_start has 38 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(97,787) = 1.345502346942272220 D2(97,787) = 0.07574990504856502846 C1(97,787) = 1.804805302518522487 C2(97,787) = 2.100049018330150802 C3(97,787) = 15.55348940303489814 C4(97,787) = 6296 Sum = 5586.043913125627600 Averaged sum = 0.5581020994230819862 logp*logq = 30.50521697520147722 -------------- ************************************* p = 97; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18764337538359.12596 -------------- Searches starting with [97,797]-exponents: u = 16, v = 2 n_start has 38 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(97,797) = 0.6421831801801244205 D2(97,797) = 0.01730736557253474695 C1(97,797) = 0.8581303564642559189 C2(97,797) = 2.044449697644174677 C3(97,797) = 3.687042164203731363 C4(97,797) = 6376 Sum = 4140.218232719862089 Averaged sum = 0.4136495386871677579 logp*logq = 30.56297924484728798 -------------- ************************************* p = 97; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20092039659682.08562 -------------- Searches starting with [97,809]-exponents: u = 19, v = 2 n_start has 44 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(97,809) = 0.7059912381407767449 D2(97,809) = 0.1207458205173113260 C1(97,809) = 0.9172498444404167421 C2(97,809) = 2.075537494218265250 C3(97,809) = 4.033838119107193310 C4(97,809) = 6472 Sum = 4462.892735344731366 Averaged sum = 0.4458879743575513404 logp*logq = 30.63134481571854355 -------------- ************************************* p = 97; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20320277684480.22885 -------------- Searches starting with [97,811]-exponents: u = 19, v = 2 n_start has 44 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(97,811) = 0.8496444444792868035 D2(97,811) = 0.1046606690937514634 C1(97,811) = 1.197542083951959200 C2(97,811) = 2.059990294654953823 C3(97,811) = 6.177507412723370240 C4(97,811) = 6488 Sum = 3938.322992897155548 Averaged sum = 0.3934781689376716503 logp*logq = 30.64264040412027065 -------------- ************************************* p = 97; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21492039792852.19013 -------------- Searches starting with [97,821]-exponents: u = 22, v = 2 n_start has 50 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(97,821) = 0.9209504594058760475 D2(97,821) = 0.03369177034073407774 C1(97,821) = 1.373983789373652780 C2(97,821) = 1.991691316233210106 C3(97,821) = 8.078467196524724970 C4(97,821) = 6568 Sum = 2887.430661520028230 Averaged sum = 0.2884834310640451823 logp*logq = 30.69870374031268101 -------------- ************************************* p = 97; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21732597308575.80398 -------------- Searches starting with [97,823]-exponents: u = 22, v = 2 n_start has 50 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(97,823) = 0.7959984323069485848 D2(97,823) = 0.02098957254846012881 C1(97,823) = 1.042743072503576674 C2(97,823) = 1.979519179947516127 C3(97,823) = 4.881908476521391617 C4(97,823) = 6584 Sum = 4577.778864696801263 Averaged sum = 0.4573662568385254534 logp*logq = 30.70983442944974914 -------------- ************************************* p = 97; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22220021989509.88789 -------------- Searches starting with [97,827]-exponents: u = 22, v = 2 n_start has 50 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(97,827) = 0.9762115534245086383 D2(97,827) = 0.1454478891121734278 C1(97,827) = 1.267622146538364797 C2(97,827) = 2.044411604059899593 C3(97,827) = 6.872133726193035416 C4(97,827) = 6616 Sum = 4426.484176929422185 Averaged sum = 0.4422503923398363657 logp*logq = 30.73201488976645011 -------------- ************************************* p = 97; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22466915519593.83474 -------------- Searches starting with [97,829]-exponents: u = 22, v = 2 n_start has 50 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(97,829) = 0.6175608726501413460 D2(97,829) = 0.1259604847603095575 C1(97,829) = 0.8614549468210855092 C2(97,829) = 2.025435963008430138 C3(97,829) = 3.705728032446710112 C4(97,829) = 6632 Sum = 4195.233054273285757 Averaged sum = 0.4191460739607638882 logp*logq = 30.74306492165714038 -------------- ************************************* p = 97; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23733726901602.02582 -------------- Searches starting with [97,839]-exponents: u = 25, v = 2 n_start has 56 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(97,839) = 0.6614584655645271122 D2(97,839) = 0.04264734270890075600 C1(97,839) = 0.8923183995588777687 C2(97,839) = 1.944663184410636397 C3(97,839) = 3.883780218999706587 C4(97,839) = 6712 Sum = 4108.034769197369704 Averaged sum = 0.4104340862421190632 logp*logq = 30.79791822847354292 -------------- ************************************* p = 97; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25600279701384.39566 -------------- Searches starting with [97,853]-exponents: u = 28, v = 2 n_start has 62 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(97,853) = 0.7551682584698025436 D2(97,853) = 0.04691267746365965441 C1(97,853) = 0.9846408716540958538 C2(97,853) = 1.902258804640569392 C3(97,853) = 4.469110070873917712 C4(97,853) = 6824 Sum = 4339.556815101725578 Averaged sum = 0.4335654725848461962 logp*logq = 30.87362439318970645 -------------- ************************************* p = 97; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26154087104405.83930 -------------- Searches starting with [97,857]-exponents: u = 31, v = 2 n_start has 68 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(97,857) = 1.026788565693637254 D2(97,857) = 0.01507384406407321740 C1(97,857) = 1.481442764940864767 C2(97,857) = 1.871387523152485021 C3(97,857) = 9.512418927176902361 C4(97,857) = 6856 Sum = 2574.400905003162017 Averaged sum = 0.2572086027578341509 logp*logq = 30.89502658885029821 -------------- ************************************* p = 97; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26434477914364.91278 -------------- Searches starting with [97,859]-exponents: u = 31, v = 2 n_start has 68 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(97,859) = 0.7613029186278807261 D2(97,859) = 0.0001071432258797956674 C1(97,859) = 1.000268549191188215 C2(97,859) = 1.856902900226037802 C3(97,859) = 4.576579400788886279 C4(97,859) = 6872 Sum = 4539.673437528754678 Averaged sum = 0.4535591405264017063 logp*logq = 30.90569025563333662 -------------- ************************************* p = 97; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27002303862541.64823 -------------- Searches starting with [97,863]-exponents: u = 31, v = 2 n_start has 68 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(97,863) = 1.119829814606679724 D2(97,863) = 0.05923951671733648720 C1(97,863) = 1.468015583435849490 C2(97,863) = 1.874528953208537840 C3(97,863) = 9.320176688576671175 C4(97,863) = 6904 Sum = 4785.867396886943853 Averaged sum = 0.4781563989296576934 logp*logq = 30.92694330653491316 -------------- ************************************* p = 97; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29065148720989.30704 -------------- Searches starting with [97,877]-exponents: u = 37, v = 2 n_start has 80 digits starting right neighbors generation We generated 273 left neighbors We generated 9737 right neighbors We generated 10009 non-negative rho_i D1(97,877) = 0.7240472165966983033 D2(97,877) = 0.01284983877324567524 C1(97,877) = 1.022507068105412069 C2(97,877) = 1.794753363323223164 C3(97,877) = 4.733981008004943963 C4(97,877) = 7016 Sum = 4233.119606072341946 Averaged sum = 0.4229313224170588416 logp*logq = 31.00056093390996523 -------------- ************************************* p = 97; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29676564234513.78420 -------------- Searches starting with [97,881]-exponents: u = 40, v = 2 n_start has 86 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(97,881) = 0.5869388608310190867 D2(97,881) = 0.04481043841933417359 C1(97,881) = 0.7714760079737915228 C2(97,881) = 1.795554887091465975 C3(97,881) = 3.231876236593061373 C4(97,881) = 7048 Sum = 4516.686275599324763 Averaged sum = 0.4512624913177465044 logp*logq = 31.02137876723432585 -------------- ************************************* p = 97; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29986016311199.12745 -------------- Searches starting with [97,883]-exponents: u = 43, v = 2 n_start has 92 digits starting right neighbors generation We generated 388 left neighbors We generated 9622 right neighbors We generated 10009 non-negative rho_i D1(97,883) = 1.051827668717201313 D2(97,883) = 0.02419749123143106673 C1(97,883) = 1.477050921774704149 C2(97,883) = 1.775385015690372987 C3(97,883) = 9.449106735609690174 C4(97,883) = 7064 Sum = 3046.895008247043727 Averaged sum = 0.3044155268505388877 logp*logq = 31.03175226596159749 -------------- ************************************* p = 97; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30612482328752.71822 -------------- Searches starting with [97,887]-exponents: u = 43, v = 2 n_start has 92 digits starting right neighbors generation We generated 319 left neighbors We generated 9691 right neighbors We generated 10009 non-negative rho_i D1(97,887) = 0.8034069623155904588 D2(97,887) = 0.04668250858397755226 C1(97,887) = 1.122485092739424168 C2(97,887) = 1.770342680161462407 C3(97,887) = 5.511227841118622175 C4(97,887) = 7096 Sum = 4674.288984329942402 Averaged sum = 0.4670085907013630134 logp*logq = 31.05242896095073365 -------------- ************************************* p = 97; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33899908517538.98509 -------------- Searches starting with [97,907]-exponents: u = 64, v = 2 n_start has 134 digits starting right neighbors generation We generated 795 left neighbors We generated 9215 right neighbors We generated 10009 non-negative rho_i D1(97,907) = 0.8160326175801179630 D2(97,907) = 0.005738260484423322713 C1(97,907) = 1.070548082013671470 C2(97,907) = 1.645191171703345383 C3(97,907) = 5.092734681331141306 C4(97,907) = 7256 Sum = 4683.472713793208176 Averaged sum = 0.4679261378552510916 logp*logq = 31.15443343171364151 -------------- ************************************* p = 97; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34589255171163.89088 -------------- Searches starting with [97,911]-exponents: u = 70, v = 2 n_start has 145 digits starting right neighbors generation We generated 877 left neighbors We generated 9133 right neighbors We generated 10009 non-negative rho_i D1(97,911) = 0.6755646427539438656 D2(97,911) = 0.02589384692460279871 C1(97,911) = 0.8825478385197289264 C2(97,911) = 1.632251646793808129 C3(97,911) = 3.826507086716068836 C4(97,911) = 7288 Sum = 4610.721969191789225 Averaged sum = 0.4606576050746117719 logp*logq = 31.17456420557738129 -------------- ************************************* p = 97; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36000787653540.97948 -------------- Searches starting with [97,919]-exponents: u = 85, v = 2 n_start has 175 digits starting right neighbors generation We generated 1217 left neighbors We generated 8793 right neighbors We generated 10009 non-negative rho_i D1(97,919) = 1.214747963241986709 D2(97,919) = 0.02660278041750909704 C1(97,919) = 1.627287364568863050 C2(97,919) = 1.579617514279947819 C3(97,919) = 11.87412023449253019 C4(97,919) = 7352 Sum = 6233.783482993561046 Averaged sum = 0.6228178122683146214 logp*logq = 31.21456193341033779 -------------- ************************************* p = 97; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37828060171373.97428 -------------- Searches starting with [97,929]-exponents: u = 121, v = 2 n_start has 247 digits starting right neighbors generation We generated 2549 left neighbors We generated 7461 right neighbors We generated 10009 non-negative rho_i D1(97,929) = 0.5969420394998207545 D2(97,929) = 0.01885648859694083666 C1(97,929) = 0.7862072592627944125 C2(97,929) = 1.495388276344122217 C3(97,929) = 3.305085541832385396 C4(97,929) = 7432 Sum = 4393.574155040540575 Averaged sum = 0.4389623493896034144 logp*logq = 31.26407227573757470 -------------- ************************************* p = 97; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39341392849024.81388 -------------- Searches starting with [97,937]-exponents: u = 175, v = 2 n_start has 354 digits --- performed 5000 steps in the continued fraction search [97,937]-exponents: u = 13, v = 77 --- starting right neighbors generation We generated 5447 left neighbors We generated 4563 right neighbors We generated 10009 non-negative rho_i D1(97,937) = 0.5879978750942508929 D2(97,937) = 0.004617696317079598448 C1(97,937) = 0.7605408671396869083 C2(97,937) = 1.405567274167815638 C3(97,937) = 3.178582965760857071 C4(97,937) = 7496 Sum = 4920.248006634528955 Averaged sum = 0.4915823765245807727 logp*logq = 31.30329833367767162 -------------- ************************************* p = 97; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40115581860881.67916 -------------- Searches starting with [97,941]-exponents: u = 226, v = 2 n_start has 455 digits --- performed 5000 steps in the continued fraction search [97,941]-exponents: u = 178, v = 10 --- starting right neighbors generation We generated 8961 left neighbors We generated 1049 right neighbors We generated 10009 non-negative rho_i D1(97,941) = 0.8051620878831000230 D2(97,941) = 0.007339085614522844559 C1(97,941) = 1.031022449925908590 C2(97,941) = 1.356278339324152720 C3(97,941) = 4.795675181565490165 C4(97,941) = 7528 Sum = 5076.128010961656726 Averaged sum = 0.5071563603718310247 logp*logq = 31.32278594984965614 -------------- ************************************* p = 97; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41299132075994.80579 -------------- Searches starting with [97,947]-exponents: u = 388, v = 2 n_start has 777 digits --- performed 5000 steps in the continued fraction search [97,947]-exponents: u = 133, v = 159 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,947) = 0.5466752978848146451 D2(97,947) = 0.1737893437073355409 C1(97,947) = 0.6885244241678803296 C2(97,947) = 1.383271889784531762 C3(97,947) = 2.848895437431412305 C4(97,947) = 7576 Sum = 5405.176465263407027 Averaged sum = 0.5405717036967103738 logp*logq = 31.35186260056563018 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,947) = 0.5466752978848146451 D2(97,947) = 0.1737893437073355409 C1(97,947) = 0.6885244241678803296 C2(97,947) = 1.383271889784531762 C3(97,947) = 2.848895437431412305 C4(97,947) = 7576 Sum = 5405.176465263407027 Averaged sum = 0.5405717036967103738 logp*logq = 31.35186260056563018 -------------- ************************************* p = 97; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42509793816502.43384 -------------- Searches starting with [97,953]-exponents: u = 1399, v = 2 n_start has 2786 digits --- performed 5000 steps in the continued fraction search [97,953]-exponents: u = 371, v = 684 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,953) = 1.139069872063310343 D2(97,953) = 0.4804442617275395538 C1(97,953) = 1.378181104672613433 C2(97,953) = 1.500870867976289244 C3(97,953) = 8.130190473230561978 C4(97,953) = 7624 Sum = 6067.267591646530661 Averaged sum = 0.6067874379084439105 logp*logq = 31.38075560805230303 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,953) = 1.139069872063310343 D2(97,953) = 0.4804442617275395538 C1(97,953) = 1.378181104672613433 C2(97,953) = 1.500870867976289244 C3(97,953) = 8.130190473230561978 C4(97,953) = 7624 Sum = 6067.267591646530661 Averaged sum = 0.6067874379084439105 logp*logq = 31.38075560805230303 -------------- ************************************* p = 97; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45442609931355.15991 -------------- Searches starting with [97,967]-exponents: u = 3, v = 187 n_start has 565 digits --- performed 5000 steps in the continued fraction search [97,967]-exponents: u = 41, v = 143 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,967) = 0.5547914326913122098 D2(97,967) = 0.06984328212247498195 C1(97,967) = 0.7044071878912937971 C2(97,967) = 1.358647807123451179 C3(97,967) = 2.918535025664037068 C4(97,967) = 7736 Sum = 5211.715523065352701 Averaged sum = 0.5212236746740026703 logp*logq = 31.44747132556162207 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(97,967) = 0.5547914326913122098 D2(97,967) = 0.06984328212247498195 C1(97,967) = 0.7044071878912937971 C2(97,967) = 1.358647807123451179 C3(97,967) = 2.918535025664037068 C4(97,967) = 7736 Sum = 5211.715523065352701 Averaged sum = 0.5212236746740026703 logp*logq = 31.44747132556162207 -------------- ************************************* p = 97; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46308915052837.41391 -------------- Searches starting with [97,971]-exponents: u = 3, v = 139 n_start has 422 digits --- performed 5000 steps in the continued fraction search [97,971]-exponents: u = 43, v = 86 --- starting right neighbors generation We generated 7572 left neighbors We generated 2438 right neighbors We generated 10009 non-negative rho_i D1(97,971) = 0.7614412073732375211 D2(97,971) = 0.004782294812322598422 C1(97,971) = 0.9775871698144206941 C2(97,971) = 1.373057356390097391 C3(97,971) = 4.421432943323472065 C4(97,971) = 7768 Sum = 5031.608418637309611 Averaged sum = 0.5027084042998610861 logp*logq = 31.46635560822272436 -------------- ************************************* p = 97; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47632511963783.45379 -------------- Searches starting with [97,977]-exponents: u = 3, v = 101 n_start has 308 digits starting right neighbors generation We generated 3967 left neighbors We generated 6043 right neighbors We generated 10009 non-negative rho_i D1(97,977) = 0.5803218970109616555 D2(97,977) = 0.01388769397726893307 C1(97,977) = 0.7552832934997584805 C2(97,977) = 1.447855649866026982 C3(97,977) = 3.153273500313183646 C4(97,977) = 7816 Sum = 4847.133564552692213 Averaged sum = 0.4842775066992399053 logp*logq = 31.49453666846011665 -------------- ************************************* p = 97; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48985487196829.54849 -------------- Searches starting with [97,983]-exponents: u = 3, v = 79 n_start has 243 digits starting right neighbors generation We generated 2490 left neighbors We generated 7520 right neighbors We generated 10009 non-negative rho_i D1(97,983) = 0.5838678925278887906 D2(97,983) = 0.01106772690076176026 C1(97,983) = 0.7686706928883758739 C2(97,983) = 1.502785029346633974 C3(97,983) = 3.218119694255836500 C4(97,983) = 7864 Sum = 4750.009901879383140 Averaged sum = 0.4745738737016068678 logp*logq = 31.52254519051277806 -------------- ************************************* p = 97; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50835961202583.33973 -------------- Searches starting with [97,991]-exponents: u = 3, v = 61 n_start has 189 digits starting right neighbors generation We generated 1461 left neighbors We generated 8549 right neighbors We generated 10009 non-negative rho_i D1(97,991) = 0.6305485728054696875 D2(97,991) = 0.01954009804103445175 C1(97,991) = 0.8410892990719361786 C2(97,991) = 1.570600105969673224 C3(97,991) = 3.592731891466974651 C4(97,991) = 7928 Sum = 4725.343609100994358 Averaged sum = 0.4721094623939448854 logp*logq = 31.55962511776024832 -------------- ************************************* p = 97; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52259308874070.65399 -------------- Searches starting with [97,997]-exponents: u = 3, v = 53 n_start has 165 digits starting right neighbors generation We generated 1131 left neighbors We generated 8879 right neighbors We generated 10009 non-negative rho_i D1(97,997) = 0.6543781819003020771 D2(97,997) = 0.02587792848761408728 C1(97,997) = 0.8355177005648896203 C2(97,997) = 1.614965576258261196 C3(97,997) = 3.562423343111758475 C4(97,997) = 7976 Sum = 3798.428353928967915 Averaged sum = 0.3795012842370834164 logp*logq = 31.58723915117410738 -------------- ************************************* p = 101; q = 103; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1947539939.483140622 -------------- Searches starting with [101,103]-exponents: u = 1, v = 235 n_start has 476 digits --- performed 5000 steps in the continued fraction search [101,103]-exponents: u = 61, v = 153 --- starting right neighbors generation We generated 7901 left neighbors We generated 2109 right neighbors We generated 10009 non-negative rho_i D1(101,103) = 0.7063918390185469326 D2(101,103) = 0.005710179698433878694 C1(101,103) = 0.9041126331915874854 C2(101,103) = 0.9877616333653960793 C3(101,103) = 3.985623611618385730 C4(101,103) = 824 Sum = 5644.539682436819643 Averaged sum = 0.5639464164688599903 logp*logq = 21.38983284357752413 -------------- ************************************* p = 101; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2321938480.331625019 -------------- Searches starting with [101,107]-exponents: u = 1, v = 79 n_start has 163 digits starting right neighbors generation We generated 974 left neighbors We generated 9036 right neighbors We generated 10009 non-negative rho_i D1(101,107) = 1.092549082950990590 D2(101,107) = 0.0007618699759450881575 C1(101,107) = 1.472773486669684063 C2(101,107) = 1.172772144464303966 C3(101,107) = 9.510233522380365518 C4(101,107) = 856 Sum = 6194.299976843096399 Averaged sum = 0.6188730119735334598 logp*logq = 21.56566822561257242 -------------- ************************************* p = 101; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2529116484.075850522 -------------- Searches starting with [101,109]-exponents: u = 1, v = 60 n_start has 125 digits starting right neighbors generation We generated 574 left neighbors We generated 9436 right neighbors We generated 10009 non-negative rho_i D1(101,109) = 0.7881150458123640326 D2(101,109) = 0.01555904582170830250 C1(101,109) = 1.038582848782030770 C2(101,109) = 1.247291662089419159 C3(101,109) = 4.895636008903551563 C4(101,109) = 872 Sum = 5101.716520521725882 Averaged sum = 0.5097129104327830834 logp*logq = 21.65113586291551365 -------------- ************************************* p = 101; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2986788339.791369958 -------------- Searches starting with [101,113]-exponents: u = 1, v = 41 n_start has 87 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(101,113) = 0.8360487972552597504 D2(101,113) = 0.002900796834187272943 C1(101,113) = 1.178139665140120542 C2(101,113) = 1.335294864925090906 C3(101,113) = 6.060387474546347641 C4(101,113) = 904 Sum = 3412.670643938260475 Averaged sum = 0.3409602002136337771 logp*logq = 21.81746451320477134 -------------- ************************************* p = 101; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5120445122.117541669 -------------- Searches starting with [101,127]-exponents: u = 1, v = 20 n_start has 45 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(101,127) = 0.7499886834172078792 D2(101,127) = 0.1014761731762936498 C1(101,127) = 0.9795143914626991475 C2(101,127) = 1.651027276138058225 C3(101,127) = 4.472772947809981747 C4(101,127) = 1016 Sum = 4689.509847674402639 Averaged sum = 0.4685293083898893634 logp*logq = 22.35650721013252854 -------------- ************************************* p = 101; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5908295338.492500036 -------------- Searches starting with [101,131]-exponents: u = 1, v = 17 n_start has 38 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(101,131) = 0.9067501738520932968 D2(101,131) = 0.1272466280143204146 C1(101,131) = 1.227938662247217073 C2(101,131) = 1.723537436165881418 C3(101,131) = 6.539974297799682632 C4(101,131) = 1048 Sum = 5327.698190078551345 Averaged sum = 0.5322907573262614991 logp*logq = 22.49962318995522311 -------------- ************************************* p = 101; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7264787714.631636271 -------------- Searches starting with [101,137]-exponents: u = 1, v = 15 n_start has 35 digits starting right neighbors generation We generated 61 left neighbors We generated 9949 right neighbors We generated 10009 non-negative rho_i D1(101,137) = 0.7458621269575733721 D2(101,137) = 0.02024784084168506595 C1(101,137) = 0.9871529462566742240 C2(101,137) = 1.703507797745186871 C3(101,137) = 4.525329963160223565 C4(101,137) = 1096 Sum = 4578.060260904415421 Averaged sum = 0.4573943711564007814 logp*logq = 22.70630491325703404 -------------- ************************************* p = 101; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7767326704.179617495 -------------- Searches starting with [101,139]-exponents: u = 1, v = 14 n_start has 33 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(101,139) = 0.6967032349518739075 D2(101,139) = 0.1269330299984360406 C1(101,139) = 1.006982410670375006 C2(101,139) = 1.812486040036299714 C3(101,139) = 4.664666993003217210 C4(101,139) = 1112 Sum = 4560.812322475761501 Averaged sum = 0.4556711282321671997 logp*logq = 22.77319188860984047 -------------- ************************************* p = 101; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10703271311.56234727 -------------- Searches starting with [101,149]-exponents: u = 1, v = 11 n_start has 26 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(101,149) = 0.7216333934843720188 D2(101,149) = 0.1482571055028436933 C1(101,149) = 1.151903626446441247 C2(101,149) = 1.301236244423450542 C3(101,149) = 5.822035642057529657 C4(101,149) = 1192 Sum = 4852.727448537479991 Averaged sum = 0.4848363921008572276 logp*logq = 23.09381526174091838 -------------- ************************************* p = 101; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11382593205.36036899 -------------- Searches starting with [101,151]-exponents: u = 1, v = 11 n_start has 26 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(101,151) = 0.8280067740806506017 D2(101,151) = 0.05370312042536416279 C1(101,151) = 1.221405674088899366 C2(101,151) = 1.866184358815950037 C3(101,151) = 6.474957789293699417 C4(101,151) = 1208 Sum = 4102.285569334514091 Averaged sum = 0.4098596832185547098 logp*logq = 23.15535111361852345 -------------- ************************************* p = 101; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13625157736.99053072 -------------- Searches starting with [101,157]-exponents: u = 1, v = 10 n_start has 24 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(101,157) = 0.8641000311436344210 D2(101,157) = 0.02586408932479884837 C1(101,157) = 1.128192064032916198 C2(101,157) = 1.894897576034098531 C3(101,157) = 5.614693351152387428 C4(101,157) = 1256 Sum = 4622.016433847910202 Averaged sum = 0.4617860359524338297 logp*logq = 23.33518375445553361 -------------- ************************************* p = 101; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16199902479.90328263 -------------- Searches starting with [101,163]-exponents: u = 1, v = 9 n_start has 22 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(101,163) = 0.8733892092555314254 D2(101,163) = 0.1092969900001476217 C1(101,163) = 1.140319989267605691 C2(101,163) = 1.715916963526731271 C3(101,163) = 5.719804754389422071 C4(101,163) = 1304 Sum = 4657.993484350006519 Averaged sum = 0.4653805059796189948 logp*logq = 23.50827105940757410 -------------- ************************************* p = 101; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18117755273.81278078 -------------- Searches starting with [101,167]-exponents: u = 1, v = 9 n_start has 23 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(101,167) = 0.6191221461818729158 D2(101,167) = 0.05748287155777917494 C1(101,167) = 1.030678608010337590 C2(101,167) = 1.996340546819912580 C3(101,167) = 4.836812562092117366 C4(101,167) = 1336 Sum = 4794.315099944661674 Averaged sum = 0.4790004096258029447 logp*logq = 23.62015824875118270 -------------- ************************************* p = 101; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21323205293.32664610 -------------- Searches starting with [101,173]-exponents: u = 1, v = 8 n_start has 20 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(101,173) = 0.7244591610251425986 D2(101,173) = 0.07777548149628237376 C1(101,173) = 0.9879638420746674141 C2(101,173) = 1.739828939258856730 C3(101,173) = 4.530945458948057334 C4(101,173) = 1384 Sum = 4831.964217606183761 Averaged sum = 0.4827619360182019943 logp*logq = 23.78306176703230759 -------------- ************************************* p = 101; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24956762420.23721300 -------------- Searches starting with [101,179]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(101,179) = 0.8799299195532601192 D2(101,179) = 0.03980917875877981641 C1(101,179) = 1.492637547516894612 C2(101,179) = 1.159288056501687583 C3(101,179) = 9.803576758408608043 C4(101,179) = 1432 Sum = 4519.288015736813912 Averaged sum = 0.4515224313854345002 logp*logq = 23.94041066130679835 -------------- ************************************* p = 101; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26269917646.02843750 -------------- Searches starting with [101,181]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(101,181) = 0.7869290636533400438 D2(101,181) = 0.05522043458164044093 C1(101,181) = 1.334656646176830024 C2(101,181) = 1.779379503535485732 C3(101,181) = 7.699389974443981366 C4(101,181) = 1448 Sum = 4447.966012684793017 Averaged sum = 0.4443966442886195441 logp*logq = 23.99169030573329061 -------------- ************************************* p = 101; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33670060192.54518407 -------------- Searches starting with [101,191]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(101,191) = 0.8274460426836538190 D2(101,191) = 0.02222436182879316792 C1(101,191) = 1.048665636990460476 C2(101,191) = 1.435297730406002003 C3(101,191) = 4.971711707835756849 C4(101,191) = 1528 Sum = 3386.284148332293341 Averaged sum = 0.3383239233022573025 logp*logq = 24.23987485783817599 -------------- ************************************* p = 101; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35328274746.68056819 -------------- Searches starting with [101,193]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(101,193) = 0.8156939975947466957 D2(101,193) = 0.01646077613284306365 C1(101,193) = 1.114535764838038143 C2(101,193) = 1.311378539805791965 C3(101,193) = 5.498645984042523102 C4(101,193) = 1544 Sum = 5139.774095148125779 Averaged sum = 0.5135152457935983393 logp*logq = 24.28794946459414074 -------------- ************************************* p = 101; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38836327571.25960856 -------------- Searches starting with [101,197]-exponents: u = 8, v = 6 n_start has 30 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(101,197) = 0.8047225149335168699 D2(101,197) = 0.01246615953569680981 C1(101,197) = 1.080297532192474042 C2(101,197) = 1.820220873756773039 C3(101,197) = 5.218134943828703253 C4(101,197) = 1576 Sum = 5122.915168571268525 Averaged sum = 0.5118308690749593890 logp*logq = 24.38262192315093461 -------------- ************************************* p = 101; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40689654116.97232975 -------------- Searches starting with [101,199]-exponents: u = 8, v = 6 n_start has 30 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(101,199) = 0.7792097051030956242 D2(101,199) = 0.007401931130257560783 C1(101,199) = 1.104495982524743291 C2(101,199) = 1.817254740524196446 C3(101,199) = 5.414863415587712492 C4(101,199) = 1592 Sum = 3530.062211330317106 Averaged sum = 0.3526888012119409638 logp*logq = 24.42923969848083161 -------------- ************************************* p = 101; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53314292014.16202046 -------------- Searches starting with [101,211]-exponents: u = 22, v = 6 n_start has 59 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(101,211) = 0.6440390936716033572 D2(101,211) = 0.07290850641305190531 C1(101,211) = 0.8439391556349653245 C2(101,211) = 1.718848339864743653 C3(101,211) = 3.635214813153031698 C4(101,211) = 1688 Sum = 4637.926243575461196 Averaged sum = 0.4633755863298492552 logp*logq = 24.69947027502916211 -------------- ************************************* p = 101; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68819252841.47110564 -------------- Searches starting with [101,223]-exponents: u = 7, v = 29 n_start has 83 digits starting right neighbors generation We generated 485 left neighbors We generated 9525 right neighbors We generated 10009 non-negative rho_i D1(101,223) = 0.6595905464970074752 D2(101,223) = 0.01505901988903239362 C1(101,223) = 0.8590943813497038508 C2(101,223) = 1.458791394193100674 C3(101,223) = 3.720453864114560341 C4(101,223) = 1784 Sum = 4476.069165024094677 Averaged sum = 0.4472044325131476348 logp*logq = 24.95474938055049171 -------------- ************************************* p = 101; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74703899399.31193916 -------------- Searches starting with [101,227]-exponents: u = 7, v = 17 n_start has 55 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(101,227) = 0.8192386592001892577 D2(101,227) = 0.05759613853392492158 C1(101,227) = 1.117213543707332842 C2(101,227) = 1.641350877622359488 C3(101,227) = 5.521210369788250593 C4(101,227) = 1816 Sum = 4472.787693719269678 Averaged sum = 0.4468765804495223976 logp*logq = 25.03679812851677061 -------------- ************************************* p = 101; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77790247080.86997259 -------------- Searches starting with [101,229]-exponents: u = 7, v = 11 n_start has 40 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(101,229) = 0.7446542000728382860 D2(101,229) = 0.08565388576371006361 C1(101,229) = 1.010089227704597391 C2(101,229) = 1.790455639049279248 C3(101,229) = 4.686883304372646087 C4(101,229) = 1832 Sum = 4424.246392551614440 Averaged sum = 0.4420268151215520471 logp*logq = 25.07728190141496631 -------------- ************************************* p = 101; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84262217048.32697598 -------------- Searches starting with [101,233]-exponents: u = 7, v = 11 n_start has 41 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(101,233) = 0.8136122807627493065 D2(101,233) = 0.1071868945686692159 C1(101,233) = 1.298835300249543084 C2(101,233) = 1.246516794881212988 C3(101,233) = 7.288940189176380853 C4(101,233) = 1864 Sum = 4517.044746408011671 Averaged sum = 0.4512983061652524399 logp*logq = 25.15719940514171565 -------------- ************************************* p = 101; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94752995790.65832365 -------------- Searches starting with [101,239]-exponents: u = 13, v = 5 n_start has 38 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(101,239) = 0.7491016156993414876 D2(101,239) = 0.06977163146780147652 C1(101,239) = 1.004331995024094433 C2(101,239) = 1.807748298139850492 C3(101,239) = 4.645797587255035435 C4(101,239) = 1912 Sum = 4864.884508564076218 Averaged sum = 0.4860510049519508660 logp*logq = 25.27453929825247303 -------------- ************************************* p = 101; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98468137778.04188947 -------------- Searches starting with [101,241]-exponents: u = 19, v = 5 n_start has 50 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(101,241) = 0.7571876009231103678 D2(101,241) = 0.04355382116624093322 C1(101,241) = 1.019967163777643782 C2(101,241) = 1.783274745667452429 C3(101,241) = 4.758224163438618187 C4(101,241) = 1928 Sum = 4891.226481102660798 Averaged sum = 0.4886828335600620240 logp*logq = 25.31299885846074662 -------------- ************************************* p = 101; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118790969209.1969997 -------------- Searches starting with [101,251]-exponents: u = 85, v = 5 n_start has 183 digits starting right neighbors generation We generated 3166 left neighbors We generated 6844 right neighbors We generated 10009 non-negative rho_i D1(101,251) = 0.6379144302906548123 D2(101,251) = 0.01470691722311260332 C1(101,251) = 0.8575100525981432087 C2(101,251) = 1.512134504646778393 C3(101,251) = 3.711450212841920046 C4(101,251) = 2008 Sum = 4427.106082349483299 Averaged sum = 0.4423125269606837145 logp*logq = 25.50063122422793455 -------------- ************************************* p = 101; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132474351349.3900987 -------------- Searches starting with [101,257]-exponents: u = 6, v = 84 n_start has 215 digits starting right neighbors generation We generated 4383 left neighbors We generated 5627 right neighbors We generated 10009 non-negative rho_i D1(101,257) = 0.8691910582111130272 D2(101,257) = 0.01273975613097060363 C1(101,257) = 1.157220341134911372 C2(101,257) = 1.484203096360864044 C3(101,257) = 5.869567908398793947 C4(101,257) = 2056 Sum = 4699.246511272104235 Averaged sum = 0.4695020992378963168 logp*logq = 25.60965488891309930 -------------- ************************************* p = 101; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147362650654.4630384 -------------- Searches starting with [101,263]-exponents: u = 6, v = 24 n_start has 71 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(101,263) = 0.6396154049778792527 D2(101,263) = 0.03480949915962620583 C1(101,263) = 0.8524908390170351617 C2(101,263) = 1.713060131118911240 C3(101,263) = 3.683069910481017793 C4(101,263) = 2104 Sum = 4705.293890065251389 Averaged sum = 0.4701062933425168737 logp*logq = 25.71616239690335258 -------------- ************************************* p = 101; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 163530813909.6422334 -------------- Searches starting with [101,269]-exponents: u = 6, v = 14 n_start has 47 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(101,269) = 0.7415290393589173284 D2(101,269) = 0.1464128476612447915 C1(101,269) = 1.048952618411899846 C2(101,269) = 1.828480096586467114 C3(101,269) = 4.973894229191739483 C4(101,269) = 2152 Sum = 3884.471005769729646 Averaged sum = 0.3880978125456818509 logp*logq = 25.82026727380571540 -------------- ************************************* p = 101; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169217974039.5041724 -------------- Searches starting with [101,271]-exponents: u = 6, v = 14 n_start has 47 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(101,271) = 0.8216091443301813296 D2(101,271) = 0.01156468132353415360 C1(101,271) = 1.265159546470138601 C2(101,271) = 1.696118179217677504 C3(101,271) = 6.923050854625111423 C4(101,271) = 2168 Sum = 4412.440152774359858 Averaged sum = 0.4408472527499610209 logp*logq = 25.85445350802447220 -------------- ************************************* p = 101; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187214074017.1793108 -------------- Searches starting with [101,277]-exponents: u = 6, v = 9 n_start has 35 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(101,277) = 0.7406437475589493577 D2(101,277) = 0.05729459376403613073 C1(101,277) = 1.049832193154217449 C2(101,277) = 1.882541080516478354 C3(101,277) = 4.980589449960563316 C4(101,277) = 2216 Sum = 4247.333626652958455 Averaged sum = 0.4243514463635686337 logp*logq = 25.95551857987960073 -------------- ************************************* p = 101; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200020623498.3361067 -------------- Searches starting with [101,281]-exponents: u = 6, v = 9 n_start has 35 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(101,281) = 0.9794963381278084137 D2(101,281) = 0.06040961983115010892 C1(101,281) = 1.604311412472369718 C2(101,281) = 1.144448898206869644 C3(101,281) = 11.62937677842221833 C4(101,281) = 2248 Sum = 4477.656934038779787 Averaged sum = 0.4473630666438984700 logp*logq = 26.02168631566988528 -------------- ************************************* p = 101; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 206675920938.8234592 -------------- Searches starting with [101,283]-exponents: u = 11, v = 4 n_start has 32 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(101,283) = 0.7975631867557540572 D2(101,283) = 0.06972680178793241818 C1(101,283) = 1.306235808202425515 C2(101,283) = 1.270564029244820187 C3(101,283) = 7.371904126491234669 C4(101,283) = 2264 Sum = 4689.505639935078555 Averaged sum = 0.4685288879943129738 logp*logq = 26.05441780405114357 -------------- ************************************* p = 101; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242600318683.9487045 -------------- Searches starting with [101,293]-exponents: u = 16, v = 4 n_start has 42 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(101,293) = 1.873747827603038376 D2(101,293) = 0.1076124399416118230 C1(101,293) = 2.907292290231360637 C2(101,293) = 1.086333422060159462 C3(101,293) = 85.30495343523115982 C4(101,293) = 2344 Sum = 3702.286324023350492 Averaged sum = 0.3698957262487112091 logp*logq = 26.21468114707441281 -------------- ************************************* p = 101; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 300914659041.6082435 -------------- Searches starting with [101,307]-exponents: u = 31, v = 4 n_start has 73 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(101,307) = 0.5731515598406353805 D2(101,307) = 0.03837883602838671196 C1(101,307) = 0.7816192242149426180 C2(101,307) = 1.700788021525018992 C3(101,307) = 3.304747155926562109 C4(101,307) = 2456 Sum = 4665.208155426220533 Averaged sum = 0.4661013243507064175 logp*logq = 26.43009253671582787 -------------- ************************************* p = 101; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 319440233739.7792377 -------------- Searches starting with [101,311]-exponents: u = 46, v = 4 n_start has 103 digits starting right neighbors generation We generated 841 left neighbors We generated 9169 right neighbors We generated 10009 non-negative rho_i D1(101,311) = 0.9190586918874176527 D2(101,311) = 0.01424260532635636824 C1(101,311) = 1.200325988370947675 C2(101,311) = 1.614145742981852049 C3(101,311) = 6.269547133498310598 C4(101,311) = 2488 Sum = 4700.050985324074839 Averaged sum = 0.4695824743055325046 logp*logq = 26.48983603141842475 -------------- ************************************* p = 101; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 329031799679.1184528 -------------- Searches starting with [101,313]-exponents: u = 61, v = 4 n_start has 133 digits starting right neighbors generation We generated 1448 left neighbors We generated 8562 right neighbors We generated 10009 non-negative rho_i D1(101,313) = 0.7654214192916211601 D2(101,313) = 0.006396317236733940257 C1(101,313) = 1.007070049478049751 C2(101,313) = 1.556679398710877988 C3(101,313) = 4.665292237221698809 C4(101,313) = 2504 Sum = 4577.049380561070350 Averaged sum = 0.4572933740194894944 logp*logq = 26.51942023860056597 -------------- ************************************* p = 101; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 348891119196.8732495 -------------- Searches starting with [101,317]-exponents: u = 141, v = 4 n_start has 293 digits --- performed 5000 steps in the continued fraction search [101,317]-exponents: u = 25, v = 53 --- starting right neighbors generation We generated 6982 left neighbors We generated 3028 right neighbors We generated 10009 non-negative rho_i D1(101,317) = 0.6328392943190137066 D2(101,317) = 0.01033188536383386390 C1(101,317) = 0.8270419831523359942 C2(101,317) = 1.371221490976703223 C3(101,317) = 3.542478832819662081 C4(101,317) = 2536 Sum = 5021.807544550887113 Averaged sum = 0.5017291981767296546 logp*logq = 26.57802573109456117 -------------- ************************************* p = 101; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 425902189757.1827613 -------------- Searches starting with [101,331]-exponents: u = 5, v = 31 n_start has 89 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(101,331) = 0.8890515604695277385 D2(101,331) = 0.01594929457534219878 C1(101,331) = 1.248351820422977485 C2(101,331) = 1.654064164425172471 C3(101,331) = 6.747363618731753395 C4(101,331) = 2648 Sum = 5012.679758459990594 Averaged sum = 0.5008172403297023273 logp*logq = 26.77747555534435915 -------------- ************************************* p = 101; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 462718234777.4788264 -------------- Searches starting with [101,337]-exponents: u = 5, v = 19 n_start has 59 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(101,337) = 0.7643536698328677001 D2(101,337) = 0.04700363648192622966 C1(101,337) = 1.111503180241979576 C2(101,337) = 1.762581042552656975 C3(101,337) = 5.473203151914129570 C4(101,337) = 2696 Sum = 4182.462557419822325 Averaged sum = 0.4178701725866542437 logp*logq = 26.86038414158678347 -------------- ************************************* p = 101; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 529574029069.5078585 -------------- Searches starting with [101,347]-exponents: u = 5, v = 11 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(101,347) = 0.8165118549536278546 D2(101,347) = 0.04981372457695858254 C1(101,347) = 1.082688209188443168 C2(101,347) = 1.875370552770390747 C3(101,347) = 5.237248163384741246 C4(101,347) = 2776 Sum = 4519.524755694125353 Averaged sum = 0.4515460840937281799 logp*logq = 26.99533880160073500 -------------- ************************************* p = 101; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 543808258531.8906024 -------------- Searches starting with [101,349]-exponents: u = 5, v = 11 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(101,349) = 0.9016914681343631480 D2(101,349) = 0.07110834920557114857 C1(101,349) = 1.212089680923027584 C2(101,349) = 1.897674458810838140 C3(101,349) = 6.383361160841839535 C4(101,349) = 2792 Sum = 4819.150454256615797 Averaged sum = 0.4814817118849651111 logp*logq = 27.02186255573761210 -------------- ************************************* p = 101; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 573175099613.0082251 -------------- Searches starting with [101,353]-exponents: u = 5, v = 11 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(101,353) = 0.7494633600128049450 D2(101,353) = 0.1170612448575460386 C1(101,353) = 1.014940017018539905 C2(101,353) = 1.945628347897097596 C3(101,353) = 4.721782219694702410 C4(101,353) = 2824 Sum = 4847.274677681084122 Averaged sum = 0.4842916053233174265 logp*logq = 27.07445709094673565 -------------- ************************************* p = 101; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 619539230638.6345378 -------------- Searches starting with [101,359]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(101,359) = 0.6936532723892534327 D2(101,359) = 0.1193798776947487237 C1(101,359) = 0.9009284265284479316 C2(101,359) = 1.866752270934530838 C3(101,359) = 3.966261889379871752 C4(101,359) = 2872 Sum = 4442.367094014264672 Averaged sum = 0.4438372558711424389 logp*logq = 27.15224186230377862 -------------- ************************************* p = 101; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 685871839497.1424412 -------------- Searches starting with [101,367]-exponents: u = 5, v = 7 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(101,367) = 1.153847840058811860 D2(101,367) = 0.06506755358711022366 C1(101,367) = 1.523083703744851997 C2(101,367) = 1.688086078801413515 C3(101,367) = 10.27084970937496036 C4(101,367) = 2936 Sum = 4975.536639679988264 Averaged sum = 0.4971062683265049719 logp*logq = 27.25395662432826342 -------------- ************************************* p = 101; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 739173167016.0431856 -------------- Searches starting with [101,373]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(101,373) = 0.7239171252041263537 D2(101,373) = 0.02948645660354891432 C1(101,373) = 0.9862970122871567690 C2(101,373) = 1.398868062562633199 C3(101,373) = 4.519410125858834912 C4(101,373) = 2984 Sum = 3923.067087962534216 Averaged sum = 0.3919539502410364887 logp*logq = 27.32879805658261433 -------------- ************************************* p = 101; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 795665859022.8944052 -------------- Searches starting with [101,379]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(101,379) = 0.9689619998270343435 D2(101,379) = 0.009662035998832584176 C1(101,379) = 1.643390278353782359 C2(101,379) = 2.071828028518936007 C3(101,379) = 12.34559317625016135 C4(101,379) = 3032 Sum = 4500.329899745463730 Averaged sum = 0.4496283244825121121 logp*logq = 27.40244515956369776 -------------- ************************************* p = 101; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 835167644462.9985737 -------------- Searches starting with [101,383]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(101,383) = 0.7450577081088527076 D2(101,383) = 0.02806130544707507099 C1(101,383) = 1.025682558711905795 C2(101,383) = 1.436583160259839332 C3(101,383) = 4.799997006556144051 C4(101,383) = 3064 Sum = 3766.142064197114138 Averaged sum = 0.3762755584171359914 logp*logq = 27.45089831345727799 -------------- ************************************* p = 101; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 897283212834.9598162 -------------- Searches starting with [101,389]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(101,389) = 0.6243213051962101949 D2(101,389) = 0.05408138999514413128 C1(101,389) = 0.8255461613240416229 C2(101,389) = 1.700432775333125012 C3(101,389) = 3.534384259709991071 C4(101,389) = 3112 Sum = 4565.825141423354793 Averaged sum = 0.4561719593788944743 logp*logq = 27.52263738254422265 -------------- ************************************* p = 101; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 985669655547.1174999 -------------- Searches starting with [101,397]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(101,397) = 0.7181251468884295698 D2(101,397) = 0.09113097447808701030 C1(101,397) = 0.9364478555045694217 C2(101,397) = 1.879654438882565422 C3(101,397) = 4.187673266510687061 C4(101,397) = 3176 Sum = 4328.584262381313651 Averaged sum = 0.4324692039545722501 logp*logq = 27.61658710047023000 -------------- ************************************* p = 101; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1032345341572.808617 -------------- Searches starting with [101,401]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(101,401) = 0.6930596819966552265 D2(101,401) = 0.1034902111791238485 C1(101,401) = 1.106446047876174128 C2(101,401) = 1.398121924569528472 C3(101,401) = 5.431036315839904664 C4(101,401) = 3208 Sum = 4231.680669107527281 Averaged sum = 0.4227875581084551184 logp*logq = 27.66285436031766677 -------------- ************************************* p = 101; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1130883384112.214607 -------------- Searches starting with [101,409]-exponents: u = 13, v = 3 n_start has 34 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(101,409) = 1.138567784390768967 D2(101,409) = 0.06815109129618420107 C1(101,409) = 1.601519742258092177 C2(101,409) = 1.990161508478198570 C3(101,409) = 11.57983207093682709 C4(101,409) = 3272 Sum = 5400.990017090348509 Averaged sum = 0.5396133496943099719 logp*logq = 27.75402019909237042 -------------- ************************************* p = 101; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1264252255000.946728 -------------- Searches starting with [101,419]-exponents: u = 17, v = 3 n_start has 42 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(101,419) = 0.7679363427497460382 D2(101,419) = 0.1318897557646861143 C1(101,419) = 0.9955815507259633459 C2(101,419) = 1.347966272928639087 C3(101,419) = 4.584039881269347804 C4(101,419) = 3352 Sum = 4516.794744553715711 Averaged sum = 0.4512733284597577891 logp*logq = 27.86550196057186694 -------------- ************************************* p = 101; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1292344034565.731143 -------------- Searches starting with [101,421]-exponents: u = 17, v = 3 n_start has 42 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(101,421) = 0.6569187309675295898 D2(101,421) = 0.1396564332198619024 C1(101,421) = 0.8643117874856595466 C2(101,421) = 1.963407129726026573 C3(101,421) = 3.750258776602079070 C4(101,421) = 3368 Sum = 4424.768467972629226 Averaged sum = 0.4420789757191157184 logp*logq = 27.88747876646619629 -------------- ************************************* p = 101; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1440224188727.039669 -------------- Searches starting with [101,431]-exponents: u = 21, v = 3 n_start has 50 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(101,431) = 0.7456241451680718528 D2(101,431) = 0.01304657954307512868 C1(101,431) = 1.043461212483311337 C2(101,431) = 1.841844154859596130 C3(101,431) = 4.932297307231772570 C4(101,431) = 3448 Sum = 4179.661746754982950 Averaged sum = 0.4175903433664684734 logp*logq = 27.99581990401455374 -------------- ************************************* p = 101; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1471327603636.438513 -------------- Searches starting with [101,433]-exponents: u = 21, v = 3 n_start has 51 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(101,433) = 0.7086185570461889593 D2(101,433) = 0.1141942825623299704 C1(101,433) = 1.045325083771815048 C2(101,433) = 1.867430030335205264 C3(101,433) = 4.946376824435717252 C4(101,433) = 3464 Sum = 4393.312749577938867 Averaged sum = 0.4389362323486800747 logp*logq = 28.01718624086658408 -------------- ************************************* p = 101; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1567805639842.647176 -------------- Searches starting with [101,439]-exponents: u = 29, v = 3 n_start has 67 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(101,439) = 0.8571626180875444445 D2(101,439) = 0.02284983551082777964 C1(101,439) = 1.087808048030192643 C2(101,439) = 1.778946408314227597 C3(101,439) = 5.278416591293426517 C4(101,439) = 3512 Sum = 3561.806918516917103 Averaged sum = 0.3558604174759633432 logp*logq = 28.08069807599182458 -------------- ************************************* p = 101; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1634828246158.937642 -------------- Searches starting with [101,443]-exponents: u = 33, v = 3 n_start has 75 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(101,443) = 0.6351203927259216449 D2(101,443) = 0.05022919666772207564 C1(101,443) = 0.9129157992905537556 C2(101,443) = 1.748772076940859843 C3(101,443) = 4.039644956331594915 C4(101,443) = 3544 Sum = 4301.770691180273417 Averaged sum = 0.4297902578859300046 logp*logq = 28.12255886653898089 -------------- ************************************* p = 101; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1739548349204.712323 -------------- Searches starting with [101,449]-exponents: u = 41, v = 3 n_start has 91 digits starting right neighbors generation We generated 510 left neighbors We generated 9500 right neighbors We generated 10009 non-negative rho_i D1(101,449) = 0.6601360669898736801 D2(101,449) = 0.01553551351314316004 C1(101,449) = 0.8672192050570919378 C2(101,449) = 1.668746386739237839 C3(101,449) = 3.766971145290895060 C4(101,449) = 3592 Sum = 4529.843876600059893 Averaged sum = 0.4525770682985373057 logp*logq = 28.18464662603843343 -------------- ************************************* p = 101; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1887269094360.913207 -------------- Searches starting with [101,457]-exponents: u = 69, v = 3 n_start has 147 digits starting right neighbors generation We generated 1345 left neighbors We generated 8665 right neighbors We generated 10009 non-negative rho_i D1(101,457) = 0.7886583945634610989 D2(101,457) = 0.01828282837700550699 C1(101,457) = 1.032034010409502390 C2(101,457) = 1.545455463287134842 C3(101,457) = 4.846849036413266403 C4(101,457) = 3656 Sum = 4492.999871920410917 Averaged sum = 0.4488959808093127102 logp*logq = 28.26615197647273948 -------------- ************************************* p = 101; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1964720567273.587096 -------------- Searches starting with [101,461]-exponents: u = 101, v = 3 n_start has 211 digits starting right neighbors generation We generated 2889 left neighbors We generated 7121 right neighbors We generated 10009 non-negative rho_i D1(101,461) = 0.7319039066243005512 D2(101,461) = 0.006734696235347822024 C1(101,461) = 0.9744389475454365920 C2(101,461) = 1.455966745889441457 C3(101,461) = 4.438189368569690443 C4(101,461) = 3688 Sum = 4419.478494245434550 Averaged sum = 0.4415504540159291187 logp*logq = 28.30637114618786177 -------------- ************************************* p = 101; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2004368278722.965073 -------------- Searches starting with [101,463]-exponents: u = 129, v = 3 n_start has 267 digits starting right neighbors generation We generated 4600 left neighbors We generated 5410 right neighbors We generated 10009 non-negative rho_i D1(101,463) = 0.7369576824706325441 D2(101,463) = 0.007533640276582419080 C1(101,463) = 0.9688714439462188349 C2(101,463) = 1.401580553254434604 C3(101,463) = 4.400560409817668555 C4(101,463) = 3704 Sum = 4724.746349265600666 Averaged sum = 0.4720497901154561560 logp*logq = 28.32635005408504140 -------------- ************************************* p = 101; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2085542773513.970179 -------------- Searches starting with [101,467]-exponents: u = 285, v = 3 n_start has 580 digits --- performed 5000 steps in the continued fraction search [101,467]-exponents: u = 206, v = 44 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(101,467) = 0.7342485817475033606 D2(101,467) = 0.1710614285742934958 C1(101,467) = 0.9329069441639583362 C2(101,467) = 1.342654429571785410 C3(101,467) = 4.165057258940439397 C4(101,467) = 3736 Sum = 5354.829844856650389 Averaged sum = 0.5355365381394789868 logp*logq = 28.36605026032943589 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(101,467) = 0.7342485817475033606 D2(101,467) = 0.1710614285742934958 C1(101,467) = 0.9329069441639583362 C2(101,467) = 1.342654429571785410 C3(101,467) = 4.165057258940439397 C4(101,467) = 3736 Sum = 5354.829844856650389 Averaged sum = 0.5355365381394789868 logp*logq = 28.36605026032943589 -------------- ************************************* p = 101; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2344614356799.801503 -------------- Searches starting with [101,479]-exponents: u = 4, v = 83 n_start has 231 digits starting right neighbors generation We generated 3428 left neighbors We generated 6582 right neighbors We generated 10009 non-negative rho_i D1(101,479) = 0.5754093600700744863 D2(101,479) = 0.003661291804398399211 C1(101,479) = 0.7622656458459958194 C2(101,479) = 1.437007142971068582 C3(101,479) = 3.208366099845596308 C4(101,479) = 3832 Sum = 4510.424454475426167 Averaged sum = 0.4506368722625063610 logp*logq = 28.48314205091257284 -------------- ************************************* p = 101; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2530871227462.956143 -------------- Searches starting with [101,487]-exponents: u = 4, v = 44 n_start has 127 digits starting right neighbors generation We generated 1003 left neighbors We generated 9007 right neighbors We generated 10009 non-negative rho_i D1(101,487) = 0.8498055465295984533 D2(101,487) = 0.02317907705197063781 C1(101,487) = 1.168539550675465737 C2(101,487) = 1.603478758834218178 C3(101,487) = 5.972059949471515315 C4(101,487) = 3896 Sum = 3677.527623645958300 Averaged sum = 0.3674220824903545109 logp*logq = 28.55958471807114498 -------------- ************************************* p = 101; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2628242336672.005129 -------------- Searches starting with [101,491]-exponents: u = 4, v = 35 n_start has 103 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(101,491) = 0.6554522691899694068 D2(101,491) = 0.005535790030899614693 C1(101,491) = 0.8461154047331939510 C2(101,491) = 1.656832742818213001 C3(101,491) = 3.647333765351204816 C4(101,491) = 3928 Sum = 4259.889793159737107 Averaged sum = 0.4256059339753958544 logp*logq = 28.59733642564503494 -------------- ************************************* p = 101; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2831777877381.291372 -------------- Searches starting with [101,499]-exponents: u = 4, v = 26 n_start has 79 digits starting right neighbors generation We generated 352 left neighbors We generated 9658 right neighbors We generated 10009 non-negative rho_i D1(101,499) = 1.284027091779349860 D2(101,499) = 0.07165030303243131973 C1(101,499) = 1.836354559596534639 C2(101,499) = 1.770168851023320905 C3(101,499) = 16.58347596811267027 C4(101,499) = 3992 Sum = 3232.215540582272982 Averaged sum = 0.3229309162336170428 logp*logq = 28.67192585555590782 -------------- ************************************* p = 101; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2938067948523.220599 -------------- Searches starting with [101,503]-exponents: u = 4, v = 20 n_start has 63 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(101,503) = 1.073646484763871624 D2(101,503) = 0.04186002794185241153 C1(101,503) = 1.551798629885764062 C2(101,503) = 1.796364254982803157 C3(101,503) = 10.73194260738288174 C4(101,503) = 4024 Sum = 5031.920577929440387 Averaged sum = 0.5027395921600000387 logp*logq = 28.70877332088836645 -------------- ************************************* p = 101; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3103335793593.408520 -------------- Searches starting with [101,509]-exponents: u = 4, v = 17 n_start has 55 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(101,509) = 0.7442120585571289291 D2(101,509) = 0.01034371302210451197 C1(101,509) = 0.9690279405740355317 C2(101,509) = 1.836138323710719439 C3(101,509) = 4.401613749432720375 C4(101,509) = 4072 Sum = 4483.511670499161020 Averaged sum = 0.4479480138374623858 logp*logq = 28.76349871132893086 -------------- ************************************* p = 101; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3455679985955.159452 -------------- Searches starting with [101,521]-exponents: u = 4, v = 14 n_start has 47 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(101,521) = 0.7607764880547529459 D2(101,521) = 0.1468642505909292936 C1(101,521) = 1.043805860894580962 C2(101,521) = 1.976496116944920754 C3(101,521) = 4.934897727020107422 C4(101,521) = 4168 Sum = 4628.489025674705449 Averaged sum = 0.4624327131256574532 logp*logq = 28.87104036592652912 -------------- ************************************* p = 101; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3517328405446.641102 -------------- Searches starting with [101,523]-exponents: u = 4, v = 14 n_start has 47 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(101,523) = 1.168845926056779761 D2(101,523) = 0.001604631931264080226 C1(101,523) = 1.543542860820485183 C2(101,523) = 1.924579761535797716 C3(101,523) = 10.59729440309293752 C4(101,523) = 4184 Sum = 5284.325333509802679 Averaged sum = 0.5279573717164354760 logp*logq = 28.88872284164527450 -------------- ************************************* p = 101; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4111826439462.601100 -------------- Searches starting with [101,541]-exponents: u = 4, v = 8 n_start has 30 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(101,541) = 1.681488092452029214 D2(101,541) = 0.08350773327868676111 C1(101,541) = 2.631087772929917637 C2(101,541) = 1.153988171913386276 C3(101,541) = 55.91442877741726885 C4(101,541) = 4328 Sum = 4931.523873173884259 Averaged sum = 0.4927089492630516793 logp*logq = 29.04488843488872013 -------------- ************************************* p = 101; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4326547585011.424560 -------------- Searches starting with [101,547]-exponents: u = 4, v = 8 n_start has 30 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(101,547) = 0.6373147142846485615 D2(101,547) = 0.1188316266392251705 C1(101,547) = 0.8310699653486496000 C2(101,547) = 1.906828185732502153 C3(101,547) = 3.564368372368835833 C4(101,547) = 4376 Sum = 4357.180094916049781 Averaged sum = 0.4353262158972974104 logp*logq = 29.09579101543299309 -------------- ************************************* p = 101; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4703841154862.631791 -------------- Searches starting with [101,557]-exponents: u = 4, v = 8 n_start has 30 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(101,557) = 0.6501612343137311555 D2(101,557) = 0.00006389148747868942320 C1(101,557) = 0.8522597943137431496 C2(101,557) = 2.068391319048049455 C3(101,557) = 3.681768744416180306 C4(101,557) = 4456 Sum = 4461.128520639774815 Averaged sum = 0.4457117115236062359 logp*logq = 29.17940055785578860 -------------- ************************************* p = 101; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4942284307725.075429 -------------- Searches starting with [101,563]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(101,563) = 0.6040536570995763123 D2(101,563) = 0.02718134820919540316 C1(101,563) = 0.7804715773951330602 C2(101,563) = 2.097488904620125297 C3(101,563) = 3.298951949615491864 C4(101,563) = 4504 Sum = 4323.813230990856995 Averaged sum = 0.4319925298222456784 logp*logq = 29.22884875072026734 -------------- ************************************* p = 101; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5190093082539.712867 -------------- Searches starting with [101,569]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(101,569) = 1.062767243804416816 D2(101,569) = 0.03447778611473428765 C1(101,569) = 1.740667746641360728 C2(101,569) = 1.147394176877662113 C3(101,569) = 14.32590301892943444 C4(101,569) = 4552 Sum = 3973.605971303531376 Averaged sum = 0.3970032941656040938 logp*logq = 29.27777274792426574 -------------- ************************************* p = 101; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5274822628836.751860 -------------- Searches starting with [101,571]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(101,571) = 1.108375179626680751 D2(101,571) = 0.03437304405148110114 C1(101,571) = 1.815278554217598695 C2(101,571) = 1.122661996470599460 C3(101,571) = 16.05747447360313723 C4(101,571) = 4568 Sum = 3809.994415411586487 Averaged sum = 0.3806568503758204103 logp*logq = 29.29396616986027922 -------------- ************************************* p = 101; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5535529198489.577239 -------------- Searches starting with [101,577]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(101,577) = 0.5918006855071522979 D2(101,577) = 0.03914545521039999819 C1(101,577) = 0.8111029127702403540 C2(101,577) = 2.014696109880844634 C3(101,577) = 3.457170540388545601 C4(101,577) = 4616 Sum = 4285.345108686537497 Averaged sum = 0.4281491766097050152 logp*logq = 29.34220828700206486 -------------- ************************************* p = 101; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5992368394795.065313 -------------- Searches starting with [101,587]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(101,587) = 0.6705314672758271342 D2(101,587) = 0.01356543527910422598 C1(101,587) = 0.8718511896334510405 C2(101,587) = 1.992694579602926393 C3(101,587) = 3.793750618131402516 C4(101,587) = 4696 Sum = 4272.273677402343982 Averaged sum = 0.4268432088522673576 logp*logq = 29.42150784136090139 -------------- ************************************* p = 101; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6280317640545.844612 -------------- Searches starting with [101,593]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(101,593) = 0.7855374942377536552 D2(101,593) = 0.1604835576596496114 C1(101,593) = 1.045846359137728889 C2(101,593) = 1.920158194991076178 C3(101,593) = 4.950321679009472770 C4(101,593) = 4744 Sum = 4789.710023583878577 Averaged sum = 0.4785403160739213285 logp*logq = 29.46844167483429771 -------------- ************************************* p = 101; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6578994328886.170718 -------------- Searches starting with [101,599]-exponents: u = 18, v = 5 n_start has 50 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(101,599) = 1.052325776094553995 D2(101,599) = 0.1547594314493128026 C1(101,599) = 1.404121066800747821 C2(101,599) = 1.548854731544042937 C3(101,599) = 8.562358504800689965 C4(101,599) = 4792 Sum = 5372.350670066399913 Averaged sum = 0.5367519902154460897 logp*logq = 29.51490301202963149 -------------- ************************************* p = 101; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6680986427282.375680 -------------- Searches starting with [101,601]-exponents: u = 18, v = 5 n_start has 50 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(101,601) = 0.7336964939179739620 D2(101,601) = 0.1384493295218101208 C1(101,601) = 1.006648170937519931 C2(101,601) = 1.963690635081779229 C3(101,601) = 4.662283185393268163 C4(101,601) = 4808 Sum = 4546.785447759760474 Averaged sum = 0.4542697020441363247 logp*logq = 29.53028676132999189 -------------- ************************************* p = 101; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6994412321160.616521 -------------- Searches starting with [101,607]-exponents: u = 18, v = 5 n_start has 50 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(101,607) = 0.7786490630466436421 D2(101,607) = 0.09211926232240483664 C1(101,607) = 1.148621750623878107 C2(101,607) = 1.919349035191942055 C3(101,607) = 5.792887488313505854 C4(101,607) = 4856 Sum = 4082.677120955277062 Averaged sum = 0.4079006015541289901 logp*logq = 29.57613270638660322 -------------- ************************************* p = 101; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7319240637057.830371 -------------- Searches starting with [101,613]-exponents: u = 25, v = 5 n_start has 65 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(101,613) = 0.5822756166260529730 D2(101,613) = 0.05153231982793405232 C1(101,613) = 0.7806646468381950160 C2(101,613) = 1.880730735485265448 C3(101,613) = 3.299926169807355302 C4(101,613) = 4904 Sum = 4293.284383971623969 Averaged sum = 0.4289423902459410499 logp*logq = 29.62152770041374506 -------------- ************************************* p = 101; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7542274047160.786448 -------------- Searches starting with [101,617]-exponents: u = 32, v = 5 n_start has 79 digits starting right neighbors generation We generated 477 left neighbors We generated 9533 right neighbors We generated 10009 non-negative rho_i D1(101,617) = 0.9063337944120218400 D2(101,617) = 0.02689286065986527377 C1(101,617) = 1.231503859359646350 C2(101,617) = 1.857392883776194000 C3(101,617) = 6.575730186100263984 C4(101,617) = 4936 Sum = 4731.814945193383318 Averaged sum = 0.4727560141066423537 logp*logq = 29.65154485024363153 -------------- ************************************* p = 101; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7655768473068.338829 -------------- Searches starting with [101,619]-exponents: u = 32, v = 5 n_start has 79 digits starting right neighbors generation We generated 477 left neighbors We generated 9533 right neighbors We generated 10009 non-negative rho_i D1(101,619) = 1.134987970159959019 D2(101,619) = 0.01517510081988636252 C1(101,619) = 1.608785772672459116 C2(101,619) = 1.846322723718663213 C3(101,619) = 11.70922727174470675 C4(101,619) = 4952 Sum = 5430.558320492356223 Averaged sum = 0.5425675212800835470 logp*logq = 29.66648052838215818 -------------- ************************************* p = 101; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8365134796348.572216 -------------- Searches starting with [101,631]-exponents: u = 88, v = 5 n_start has 191 digits starting right neighbors generation We generated 2970 left neighbors We generated 7040 right neighbors We generated 10009 non-negative rho_i D1(101,631) = 0.6443702609079709113 D2(101,631) = 0.007740839150240985667 C1(101,631) = 0.8607726005020573067 C2(101,631) = 1.670180139964002760 C3(101,631) = 3.730014912424287447 C4(101,631) = 5048 Sum = 4692.809157271586946 Averaged sum = 0.4688589426787478215 logp*logq = 29.75509356456488573 -------------- ************************************* p = 101; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8994728933039.820536 -------------- Searches starting with [101,641]-exponents: u = 7, v = 492 n_start has 1396 digits --- performed 5000 steps in the continued fraction search [101,641]-exponents: u = 683, v = 2 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(101,641) = 0.6055273273400769488 D2(101,641) = 0.4125947046249945406 C1(101,641) = 0.7472292536272305533 C2(101,641) = 1.473661370784882913 C3(101,641) = 3.135429225234710867 C4(101,641) = 5128 Sum = 5788.929711214965608 Averaged sum = 0.5789508662081173725 logp*logq = 29.82765984758400710 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(101,641) = 0.6055273273400769488 D2(101,641) = 0.4125947046249945406 C1(101,641) = 0.7472292536272305533 C2(101,641) = 1.473661370784882913 C3(101,641) = 3.135429225234710867 C4(101,641) = 5128 Sum = 5788.929711214965608 Averaged sum = 0.5789508662081173725 logp*logq = 29.82765984758400710 -------------- ************************************* p = 101; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9124983267473.656260 -------------- Searches starting with [101,643]-exponents: u = 7, v = 182 n_start has 526 digits --- performed 5000 steps in the continued fraction search [101,643]-exponents: u = 226, v = 5 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(101,643) = 0.5718107222394685799 D2(101,643) = 0.1897054977457560571 C1(101,643) = 0.7296256648135102041 C2(101,643) = 1.438100263720981782 C3(101,643) = 3.052143838817429419 C4(101,643) = 5144 Sum = 5213.383019021556571 Averaged sum = 0.5213904409462502821 logp*logq = 29.84203718169390505 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(101,643) = 0.5718107222394685799 D2(101,643) = 0.1897054977457560571 C1(101,643) = 0.7296256648135102041 C2(101,643) = 1.438100263720981782 C3(101,643) = 3.052143838817429419 C4(101,643) = 5144 Sum = 5213.383019021556571 Averaged sum = 0.5213904409462502821 logp*logq = 29.84203718169390505 -------------- ************************************* p = 101; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9389922689667.758033 -------------- Searches starting with [101,647]-exponents: u = 7, v = 82 n_start has 245 digits starting right neighbors generation We generated 4930 left neighbors We generated 5080 right neighbors We generated 10009 non-negative rho_i D1(101,647) = 0.8030246498164322990 D2(101,647) = 0.006123644795759310235 C1(101,647) = 1.061848004078580322 C2(101,647) = 1.626403258354037278 C3(101,647) = 5.072960049886243922 C4(101,647) = 5176 Sum = 4566.977066604094362 Averaged sum = 0.4562870483169242044 logp*logq = 29.87065817585260667 -------------- ************************************* p = 101; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9798589775710.698309 -------------- Searches starting with [101,653]-exponents: u = 7, v = 42 n_start has 133 digits starting right neighbors generation We generated 1423 left neighbors We generated 8587 right neighbors We generated 10009 non-negative rho_i D1(101,653) = 0.5772622439249199917 D2(101,653) = 0.006206584857612506412 C1(101,653) = 0.7879786703220232689 C2(101,653) = 1.761155490839557811 C3(101,653) = 3.337045081775200658 C4(101,653) = 5224 Sum = 4554.647604303372891 Averaged sum = 0.4550552107406706855 logp*logq = 29.91325959081272924 -------------- ************************************* p = 101; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10221059383686.27871 -------------- Searches starting with [101,659]-exponents: u = 7, v = 27 n_start has 91 digits starting right neighbors generation We generated 574 left neighbors We generated 9436 right neighbors We generated 10009 non-negative rho_i D1(101,659) = 0.7070257914481814142 D2(101,659) = 0.05479891299054147049 C1(101,659) = 0.9910755068773959242 C2(101,659) = 1.811221979898349621 C3(101,659) = 4.552558649562469674 C4(101,659) = 5272 Sum = 4302.327103668396626 Averaged sum = 0.4298458491026472800 logp*logq = 29.95547135322693744 -------------- ************************************* p = 101; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10365007419268.99661 -------------- Searches starting with [101,661]-exponents: u = 7, v = 27 n_start has 91 digits starting right neighbors generation We generated 574 left neighbors We generated 9436 right neighbors We generated 10009 non-negative rho_i D1(101,661) = 0.6975132418761558586 D2(101,661) = 0.07241028467397662279 C1(101,661) = 0.9079603745728526015 C2(101,661) = 1.829321707424045824 C3(101,661) = 4.009146143214125033 C4(101,661) = 5288 Sum = 4358.414672506609987 Averaged sum = 0.4354495626442811456 logp*logq = 29.96945657761622756 -------------- ************************************* p = 101; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11262384362037.30914 -------------- Searches starting with [101,673]-exponents: u = 7, v = 17 n_start has 63 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(101,673) = 2.009623246188896905 D2(101,673) = 0.05783579137385894712 C1(101,673) = 2.672745765989380244 C2(101,673) = 1.926156824402241237 C3(101,673) = 59.59261252992966484 C4(101,673) = 5384 Sum = 7021.556006392191873 Averaged sum = 0.7015242288332692449 logp*logq = 30.05248947128863358 -------------- ************************************* p = 101; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11574649256694.98742 -------------- Searches starting with [101,677]-exponents: u = 7, v = 12 n_start has 48 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(101,677) = 0.6933952802566991551 D2(101,677) = 0.07920715869134981426 C1(101,677) = 1.027069848117029480 C2(101,677) = 1.948550181689967912 C3(101,677) = 4.810191656059495872 C4(101,677) = 5416 Sum = 4341.598966780202723 Averaged sum = 0.4337695041243083948 logp*logq = 30.07983841364432795 -------------- ************************************* p = 101; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12055719727918.80687 -------------- Searches starting with [101,683]-exponents: u = 7, v = 12 n_start has 49 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(101,683) = 0.7871045624791704304 D2(101,683) = 0.1135294150092948303 C1(101,683) = 1.030697441137933320 C2(101,683) = 1.984393940352923989 C3(101,683) = 4.836951875025051957 C4(101,683) = 5464 Sum = 4475.859451872967994 Averaged sum = 0.4471834800552470770 logp*logq = 30.12056032946416766 -------------- ************************************* p = 101; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12721355627451.77411 -------------- Searches starting with [101,691]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(101,691) = 1.689586424677747160 D2(101,691) = 0.09690786389237427309 C1(101,691) = 2.601606939534983059 C2(101,691) = 1.198250858039707148 C3(101,691) = 53.44944780032927046 C4(101,691) = 5528 Sum = 4657.196832538780664 Averaged sum = 0.4653009124326886466 logp*logq = 30.17430324264706968 -------------- ************************************* p = 101; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13593509963681.79452 -------------- Searches starting with [101,701]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(101,701) = 0.6760608243660618020 D2(101,701) = 0.1156143577768320071 C1(101,701) = 0.8939618330045055896 C2(101,701) = 1.941023172570823280 C3(101,701) = 3.924228555191555552 C4(101,701) = 5608 Sum = 4522.869539413643574 Averaged sum = 0.4518802617058291112 logp*logq = 30.24061358621750632 -------------- ************************************* p = 101; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14324383057752.94132 -------------- Searches starting with [101,709]-exponents: u = 7, v = 7 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(101,709) = 0.9052893974783433139 D2(101,709) = 0.07867003954550475612 C1(101,709) = 1.238189705640157480 C2(101,709) = 1.783036147083668332 C3(101,709) = 6.643311409827162403 C4(101,709) = 5672 Sum = 4845.117414054150404 Averaged sum = 0.4840760729397692480 logp*logq = 30.29298431008030945 -------------- ************************************* p = 101; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15280871126763.52647 -------------- Searches starting with [101,719]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(101,719) = 1.086884853032549703 D2(101,719) = 0.001670778515057029352 C1(101,719) = 1.431722570726408984 C2(101,719) = 2.059480940044928266 C3(101,719) = 8.931529946170850307 C4(101,719) = 5752 Sum = 4937.603152410536264 Averaged sum = 0.4933163305435644185 logp*logq = 30.35762290895570561 -------------- ************************************* p = 101; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16081485711798.47069 -------------- Searches starting with [101,727]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(101,727) = 0.9228650292206800509 D2(101,727) = 0.01234586897344621738 C1(101,727) = 1.535982088878273208 C2(101,727) = 2.072302358365509268 C3(101,727) = 10.47546386459010193 C4(101,727) = 5816 Sum = 4413.917305629447464 Averaged sum = 0.4409948352112546173 logp*logq = 30.40868977042355497 -------------- ************************************* p = 101; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16703217498392.38524 -------------- Searches starting with [101,733]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(101,733) = 0.9218415960768464942 D2(101,733) = 0.006892880887050167344 C1(101,733) = 1.534113155702358857 C2(101,733) = 2.246605882314267850 C3(101,733) = 10.44556532317759281 C4(101,733) = 5864 Sum = 4450.334838902954365 Averaged sum = 0.4446333139077784359 logp*logq = 30.44662248136821638 -------------- ************************************* p = 101; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17343622141335.24286 -------------- Searches starting with [101,739]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(101,739) = 0.6140591812296057967 D2(101,739) = 0.02034074484957158901 C1(101,739) = 1.005695980202269504 C2(101,739) = 1.487764380994983763 C3(101,739) = 4.655498809554379060 C4(101,739) = 5912 Sum = 4187.845841089221124 Averaged sum = 0.4184080168937177664 logp*logq = 30.48424595481696148 -------------- ************************************* p = 101; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17781130853988.79316 -------------- Searches starting with [101,743]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(101,743) = 0.9411879878751691214 D2(101,743) = 0.02547435379701395060 C1(101,743) = 1.303731327130243062 C2(101,743) = 1.568172269560175888 C3(101,743) = 7.343722279322005275 C4(101,743) = 5944 Sum = 3764.679329536830688 Averaged sum = 0.3761294164788521019 logp*logq = 30.50915894657829428 -------------- ************************************* p = 101; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18682064722147.33455 -------------- Searches starting with [101,751]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(101,751) = 0.9969064789542694617 D2(101,751) = 0.03635684324270726268 C1(101,751) = 1.432949000573646233 C2(101,751) = 1.699294468303983604 C3(101,751) = 8.948297873963988739 C4(101,751) = 6008 Sum = 3463.229506908035280 Averaged sum = 0.3460115403045294515 logp*logq = 30.55858507378532993 -------------- ************************************* p = 101; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19380923326697.18098 -------------- Searches starting with [101,757]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(101,757) = 0.6576149028558808830 D2(101,757) = 0.04561630876911500672 C1(101,757) = 0.8877848195764032605 C2(101,757) = 1.805470879200881534 C3(101,757) = 3.887331934232588088 C4(101,757) = 6056 Sum = 4099.855252483678887 Averaged sum = 0.4096168700653091104 logp*logq = 30.59531036453269186 -------------- ************************************* p = 101; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19858088706816.13682 -------------- Searches starting with [101,761]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(101,761) = 1.083480618599436736 D2(101,761) = 0.05486950117404523166 C1(101,761) = 1.611948524590211912 C2(101,761) = 1.970136463354548281 C3(101,761) = 11.76600102217560548 C4(101,761) = 6088 Sum = 3751.294088394419992 Averaged sum = 0.3747920959530842234 logp*logq = 30.61963253158688421 -------------- ************************************* p = 101; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20840007019504.18557 -------------- Searches starting with [101,769]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(101,769) = 0.7945264358010405723 D2(101,769) = 0.06549876244929012080 C1(101,769) = 1.133616114328048723 C2(101,769) = 1.982691766541670502 C3(101,769) = 5.661462099889151539 C4(101,769) = 6152 Sum = 3938.379152708186424 Averaged sum = 0.3934837798689365994 logp*logq = 30.66789566964207346 -------------- ************************************* p = 101; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21345013740141.83268 -------------- Searches starting with [101,773]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(101,773) = 0.6354219606007263538 D2(101,773) = 0.07088186901708278369 C1(101,773) = 0.8851276402795883899 C2(101,773) = 1.989030237662581351 C3(101,773) = 3.871566939399926531 C4(101,773) = 6184 Sum = 4172.417297339929837 Averaged sum = 0.4168665498391377597 logp*logq = 30.69183927985538201 -------------- ************************************* p = 101; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23188486508950.91906 -------------- Searches starting with [101,787]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(101,787) = 0.9861329071510241451 D2(101,787) = 0.05472570403583419492 C1(101,787) = 1.574109627078997699 C2(101,787) = 1.221563011947401697 C3(101,787) = 11.10444679398414331 C4(101,787) = 6296 Sum = 3906.574635140850586 Averaged sum = 0.3903061879449346175 logp*logq = 30.77467700025161220 -------------- ************************************* p = 101; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24579883934821.84662 -------------- Searches starting with [101,797]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(101,797) = 0.7254992013140928694 D2(101,797) = 0.03958376283964105577 C1(101,797) = 0.9463516240799850727 C2(101,797) = 2.161677225812683348 C3(101,797) = 4.251583419388119238 C4(101,797) = 6376 Sum = 4317.326070923123290 Averaged sum = 0.4313443971348909272 logp*logq = 30.83294949811964363 -------------- ************************************* p = 101; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26334973398930.66831 -------------- Searches starting with [101,809]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(101,809) = 0.6698935348684449630 D2(101,809) = 0.1154057407351516704 C1(101,809) = 0.8678193445046727711 C2(101,809) = 1.940994798668315665 C3(101,809) = 3.770430118981722359 C4(101,809) = 6472 Sum = 4148.555759203633299 Averaged sum = 0.4144825416328937256 logp*logq = 30.90191895876013149 -------------- ************************************* p = 101; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26636786404175.99421 -------------- Searches starting with [101,811]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(101,811) = 0.6298833625834899609 D2(101,811) = 0.1182294366957380127 C1(101,811) = 0.8829517986485656209 C2(101,811) = 1.944255507523491573 C3(101,811) = 3.858705334892262604 C4(101,811) = 6488 Sum = 4204.863841116024664 Averaged sum = 0.4201082866536142135 logp*logq = 30.91331432385042171 -------------- ************************************* p = 101; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28186743118844.26240 -------------- Searches starting with [101,821]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(101,821) = 0.8438474342872421191 D2(101,821) = 0.1005334284812270751 C1(101,821) = 1.309366520915858143 C2(101,821) = 1.335970304975380806 C3(101,821) = 7.407284830302862737 C4(101,821) = 6568 Sum = 4249.377737476259372 Averaged sum = 0.4245556736413487234 logp*logq = 30.96987288117130600 -------------- ************************************* p = 101; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28505036030040.68713 -------------- Searches starting with [101,823]-exponents: u = 16, v = 2 n_start has 38 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(101,823) = 1.728341429409690152 D2(101,823) = 0.07959195278980797569 C1(101,823) = 2.681680874335223512 C2(101,823) = 1.153292546672267458 C3(101,823) = 60.41252289283814635 C4(101,823) = 6584 Sum = 2405.860045859282813 Averaged sum = 0.2403696718812351697 logp*logq = 30.98110189040149583 -------------- ************************************* p = 101; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29150065512113.82718 -------------- Searches starting with [101,827]-exponents: u = 16, v = 2 n_start has 38 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(101,827) = 0.6725145650817647278 D2(101,827) = 0.1065436698773804341 C1(101,827) = 1.043468273226320224 C2(101,827) = 1.484222241423722429 C3(101,827) = 4.932350567760201787 C4(101,827) = 6616 Sum = 4447.979341452403850 Averaged sum = 0.4443979759668702018 logp*logq = 31.00347827613637758 -------------- ************************************* p = 101; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29476837920907.56763 -------------- Searches starting with [101,829]-exponents: u = 16, v = 2 n_start has 38 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(101,829) = 1.010190359535034159 D2(101,829) = 0.1086008977664707751 C1(101,829) = 1.359812548397218593 C2(101,829) = 2.140838389928196692 C3(101,829) = 8.001371610965761943 C4(101,829) = 6632 Sum = 4388.449815128234352 Averaged sum = 0.4384503761742665952 logp*logq = 31.01462591565505131 -------------- ************************************* p = 101; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31153999728406.61534 -------------- Searches starting with [101,839]-exponents: u = 16, v = 2 n_start has 38 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(101,839) = 0.7557647263264158965 D2(101,839) = 0.04866174349553007216 C1(101,839) = 0.9837863371409336398 C2(101,839) = 2.083594201789017628 C3(101,839) = 4.502090350886144774 C4(101,839) = 6712 Sum = 4355.297020407174468 Averaged sum = 0.4351380777707237954 logp*logq = 31.06996375511519299 -------------- ************************************* p = 101; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33626603850097.08774 -------------- Searches starting with [101,853]-exponents: u = 19, v = 2 n_start has 44 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(101,853) = 0.6802103052821814510 D2(101,853) = 0.1337632527535531071 C1(101,853) = 1.033510700644923195 C2(101,853) = 1.480199085716062949 C3(101,853) = 4.857807328178075070 C4(101,853) = 6824 Sum = 4166.281540080003702 Averaged sum = 0.4162535258347490960 logp*logq = 31.14633865085718239 -------------- ************************************* p = 101; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34360538916421.78827 -------------- Searches starting with [101,857]-exponents: u = 19, v = 2 n_start has 44 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(101,857) = 0.7308264618571975824 D2(101,857) = 0.1281652923520624778 C1(101,857) = 1.003811965524718966 C2(101,857) = 2.091956882057200908 C3(101,857) = 4.642104249267224039 C4(101,857) = 6856 Sum = 3921.858393639615019 Averaged sum = 0.3918331894934174262 logp*logq = 31.16792989733434493 -------------- ************************************* p = 101; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34732180285984.09968 -------------- Searches starting with [101,859]-exponents: u = 19, v = 2 n_start has 44 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(101,859) = 0.6279381741778323292 D2(101,859) = 0.1126661893392634219 C1(101,859) = 0.8360215159823471280 C2(101,859) = 2.076964692277338365 C3(101,859) = 3.591462344892766866 C4(101,859) = 6872 Sum = 4324.733475716629016 Averaged sum = 0.4320844715472703583 logp*logq = 31.17868775888809485 -------------- ************************************* p = 101; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35484906151833.88149 -------------- Searches starting with [101,863]-exponents: u = 19, v = 2 n_start has 44 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(101,863) = 0.6594756762407905465 D2(101,863) = 0.08363885645221842853 C1(101,863) = 0.8766325051193566960 C2(101,863) = 2.048947638151493076 C3(101,863) = 3.821593132750013494 C4(101,863) = 6904 Sum = 4508.389270971751059 Averaged sum = 0.4504335369139525486 logp*logq = 31.20012854317419333 -------------- ************************************* p = 101; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38220626747187.97675 -------------- Searches starting with [101,877]-exponents: u = 22, v = 2 n_start has 50 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(101,877) = 0.7333342866908864302 D2(101,877) = 0.1481541632547477405 C1(101,877) = 0.9692655108840405282 C2(101,877) = 2.056169718836176229 C3(101,877) = 4.403213257615114244 C4(101,877) = 7016 Sum = 4556.085729638377971 Averaged sum = 0.4551988939592744501 logp*logq = 31.27439645301511801 -------------- ************************************* p = 101; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39031814087079.07647 -------------- Searches starting with [101,881]-exponents: u = 22, v = 2 n_start has 50 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(101,881) = 0.7018237284985056040 D2(101,881) = 0.1120987764605926322 C1(101,881) = 0.9527992277135711109 C2(101,881) = 2.021076717654752117 C3(101,881) = 4.293713807949821255 C4(101,881) = 7048 Sum = 4505.398609390855209 Averaged sum = 0.4501347396733794794 logp*logq = 31.29539817534094457 -------------- ************************************* p = 101; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39442431947376.03424 -------------- Searches starting with [101,883]-exponents: u = 22, v = 2 n_start has 50 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(101,883) = 0.5809300083893873298 D2(101,883) = 0.09546649392045299761 C1(101,883) = 0.8569846071372514827 C2(101,883) = 2.004923984091027896 C3(101,883) = 3.708468949952513134 C4(101,883) = 7064 Sum = 4436.621525654411246 Averaged sum = 0.4432632156713369214 logp*logq = 31.30586330571368788 -------------- ************************************* p = 101; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40273815851993.15753 -------------- Searches starting with [101,887]-exponents: u = 25, v = 2 n_start has 57 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(101,887) = 0.8779803157055420554 D2(101,887) = 0.06446158458364583079 C1(101,887) = 1.295122422798753419 C2(101,887) = 1.974874909853524415 C3(101,887) = 7.247669089172724978 C4(101,887) = 7096 Sum = 2906.228587806212531 Averaged sum = 0.2903615334005607484 logp*logq = 31.32672264299493611 -------------- ************************************* p = 101; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44638960352594.07032 -------------- Searches starting with [101,907]-exponents: u = 28, v = 2 n_start has 63 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(101,907) = 0.9747698002335424968 D2(101,907) = 0.03213390071508595467 C1(101,907) = 1.285615835899234579 C2(101,907) = 1.896927825200232769 C3(101,907) = 7.143059084538937811 C4(101,907) = 7256 Sum = 4659.175714221322079 Averaged sum = 0.4654986226617366449 logp*logq = 31.42962814413797020 -------------- ************************************* p = 101; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45554782928434.03311 -------------- Searches starting with [101,911]-exponents: u = 31, v = 2 n_start has 69 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(101,911) = 0.8261620061628559904 D2(101,911) = 0.003224024320294509092 C1(101,911) = 1.067203958682130703 C2(101,911) = 1.868926395608221939 C3(101,911) = 5.114683641441680796 C4(101,911) = 7288 Sum = 4234.503619606122886 Averaged sum = 0.4230695993212231877 logp*logq = 31.44993673803931245 -------------- ************************************* p = 101; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47430555870712.06417 -------------- Searches starting with [101,919]-exponents: u = 34, v = 2 n_start has 75 digits starting right neighbors generation We generated 250 left neighbors We generated 9760 right neighbors We generated 10009 non-negative rho_i D1(101,919) = 0.7575058626060576158 D2(101,919) = 0.03212606731910163150 C1(101,919) = 1.086026579365366255 C2(101,919) = 1.857021632550581548 C3(101,919) = 5.264055288159659254 C4(101,919) = 7352 Sum = 3341.327364626021645 Averaged sum = 0.3338322874039386197 logp*logq = 31.49028777556197149 -------------- ************************************* p = 101; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49859763704044.44601 -------------- Searches starting with [101,929]-exponents: u = 37, v = 2 n_start has 81 digits starting right neighbors generation We generated 273 left neighbors We generated 9737 right neighbors We generated 10009 non-negative rho_i D1(101,929) = 0.7943034561806680455 D2(101,929) = 0.02851016832678827900 C1(101,929) = 1.073956508428049025 C2(101,929) = 1.818841276734382275 C3(101,929) = 5.167776295715093390 C4(101,929) = 7432 Sum = 4648.814382170719532 Averaged sum = 0.4644634211380477102 logp*logq = 31.54023545482389021 -------------- ************************************* p = 101; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51872401730661.60526 -------------- Searches starting with [101,937]-exponents: u = 40, v = 2 n_start has 87 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(101,937) = 0.8291372575799435038 D2(101,937) = 0.02675973572047116809 C1(101,937) = 1.166277551027086966 C2(101,937) = 1.786618913847414014 C3(101,937) = 5.951436125561372659 C4(101,937) = 7496 Sum = 4658.775017769597183 Averaged sum = 0.4654585890468175825 logp*logq = 31.57980800610523262 -------------- ************************************* p = 101; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52902290955689.91432 -------------- Searches starting with [101,941]-exponents: u = 43, v = 2 n_start has 93 digits starting right neighbors generation We generated 319 left neighbors We generated 9691 right neighbors We generated 10009 non-negative rho_i D1(101,941) = 0.6875263105185953020 D2(101,941) = 0.05312901431439452056 C1(101,941) = 0.8897890904640507695 C2(101,941) = 1.785317424886956371 C3(101,941) = 3.899265693980599703 C4(101,941) = 7528 Sum = 4418.178608194901151 Averaged sum = 0.4414205822954242332 logp*logq = 31.59946776114599291 -------------- ************************************* p = 101; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54477084049269.65011 -------------- Searches starting with [101,947]-exponents: u = 49, v = 2 n_start has 105 digits starting right neighbors generation We generated 446 left neighbors We generated 9564 right neighbors We generated 10009 non-negative rho_i D1(101,947) = 0.7397585072841608524 D2(101,947) = 0.04907676790209989890 C1(101,947) = 1.030455583682596521 C2(101,947) = 1.756970026874396315 C3(101,947) = 4.835163105431740139 C4(101,947) = 7576 Sum = 3082.291928768086129 Averaged sum = 0.3079520360443686811 logp*logq = 31.62880125301266814 -------------- ************************************* p = 101; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56088363319686.91841 -------------- Searches starting with [101,953]-exponents: u = 52, v = 2 n_start has 111 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(101,953) = 0.6577059804741171897 D2(101,953) = 0.03495105195480132501 C1(101,953) = 0.9087158867924405828 C2(101,953) = 1.720997713278788551 C3(101,953) = 4.013781122296606099 C4(101,953) = 7624 Sum = 4424.593247387426395 Averaged sum = 0.4420614694162679983 logp*logq = 31.65794947948458741 -------------- ************************************* p = 101; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59993330474025.62707 -------------- Searches starting with [101,967]-exponents: u = 70, v = 2 n_start has 147 digits starting right neighbors generation We generated 877 left neighbors We generated 9133 right neighbors We generated 10009 non-negative rho_i D1(101,967) = 0.6634960076235593708 D2(101,967) = 0.03107915240083674047 C1(101,967) = 0.8527622505612834361 C2(101,967) = 1.645647514041276394 C3(101,967) = 3.684598996402516499 C4(101,967) = 7736 Sum = 3845.608439298991364 Averaged sum = 0.3842150503845530387 logp*logq = 31.72525451320581581 -------------- ************************************* p = 101; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61147225521228.09746 -------------- Searches starting with [101,971]-exponents: u = 76, v = 2 n_start has 159 digits starting right neighbors generation We generated 1076 left neighbors We generated 8934 right neighbors We generated 10009 non-negative rho_i D1(101,971) = 0.9258964135826404004 D2(101,971) = 0.009668257870792812227 C1(101,971) = 1.206659688470649052 C2(101,971) = 1.609783885979257258 C3(101,971) = 6.330571349400816307 C4(101,971) = 7768 Sum = 4636.652997154768607 Averaged sum = 0.4632483761769176348 logp*logq = 31.74430560534357421 -------------- ************************************* p = 101; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62910587975458.03704 -------------- Searches starting with [101,977]-exponents: u = 88, v = 2 n_start has 183 digits starting right neighbors generation We generated 1399 left neighbors We generated 8611 right neighbors We generated 10009 non-negative rho_i D1(101,977) = 0.6279399660443879853 D2(101,977) = 0.009870729099772649054 C1(101,977) = 0.8408359195016171469 C2(101,977) = 1.571165402787869786 C3(101,977) = 3.618003332755359561 C4(101,977) = 7816 Sum = 4702.350138030609523 Averaged sum = 0.4698121828385062966 logp*logq = 31.77273559576243940 -------------- ************************************* p = 101; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64713537075829.37222 -------------- Searches starting with [101,983]-exponents: u = 106, v = 2 n_start has 219 digits starting right neighbors generation We generated 2041 left neighbors We generated 7969 right neighbors We generated 10009 non-negative rho_i D1(101,983) = 0.8324216476025670813 D2(101,983) = 0.007272415763296016350 C1(101,983) = 1.069461418257775059 C2(101,983) = 1.526330694483931223 C3(101,983) = 5.132372187307010322 C4(101,983) = 7864 Sum = 4202.282814539729434 Averaged sum = 0.4198504160795013922 logp*logq = 31.80099152392468734 -------------- ************************************* p = 101; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67180153647864.59942 -------------- Searches starting with [101,991]-exponents: u = 142, v = 2 n_start has 291 digits starting right neighbors generation We generated 3478 left neighbors We generated 6532 right neighbors We generated 10009 non-negative rho_i D1(101,991) = 0.6234633831822015681 D2(101,991) = 0.01292784119445503403 C1(101,991) = 0.8150531277671838186 C2(101,991) = 1.461617053301811648 C3(101,991) = 3.478119261011157678 C4(101,991) = 7928 Sum = 4821.165993020818299 Averaged sum = 0.4816830845260084223 logp*logq = 31.83839898721732269 -------------- ************************************* p = 101; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69077967207177.55318 -------------- Searches starting with [101,997]-exponents: u = 190, v = 2 n_start has 387 digits --- performed 5000 steps in the continued fraction search [101,997]-exponents: u = 87, v = 41 --- starting right neighbors generation We generated 6261 left neighbors We generated 3749 right neighbors We generated 10009 non-negative rho_i D1(101,997) = 0.7680659856124911731 D2(101,997) = 0.005371027716764368671 C1(101,997) = 0.9912662497196727204 C2(101,997) = 1.394527011845854887 C3(101,997) = 4.553886871409568797 C4(101,997) = 7976 Sum = 4975.338667308032646 Averaged sum = 0.4970864888908015432 logp*logq = 31.86625694212636346 -------------- ************************************* p = 103; q = 107; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2544742380.569753205 -------------- Searches starting with [103,107]-exponents: u = 1, v = 121 n_start has 248 digits starting right neighbors generation We generated 2165 left neighbors We generated 7845 right neighbors We generated 10009 non-negative rho_i D1(103,107) = 0.6779130736844123211 D2(103,107) = 0.006796845296503367073 C1(103,107) = 0.8939547532196634641 C2(103,107) = 1.098310037860155439 C3(103,107) = 3.939087502429685317 C4(103,107) = 856 Sum = 5338.992025374544914 Averaged sum = 0.5334191253246622953 logp*logq = 21.65729525611589858 -------------- ************************************* p = 103; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2772807061.530660988 -------------- Searches starting with [103,109]-exponents: u = 1, v = 81 n_start has 168 digits starting right neighbors generation We generated 1000 left neighbors We generated 9010 right neighbors We generated 10009 non-negative rho_i D1(103,109) = 0.8100512901390998675 D2(103,109) = 0.007587693708205425620 C1(103,109) = 1.091183090585249231 C2(103,109) = 1.176130665574813003 C3(103,109) = 5.330334975322156243 C4(103,109) = 872 Sum = 5476.028556604006003 Averaged sum = 0.5471104562497758020 logp*logq = 21.74312602363712365 -------------- ************************************* p = 103; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3276892369.773021903 -------------- Searches starting with [103,113]-exponents: u = 1, v = 50 n_start has 105 digits starting right neighbors generation We generated 431 left neighbors We generated 9579 right neighbors We generated 10009 non-negative rho_i D1(103,113) = 1.157475824301468935 D2(103,113) = 0.01644630969236883047 C1(103,113) = 1.608941052689193013 C2(103,113) = 1.297232080992077303 C3(103,113) = 11.79217483369316542 C4(103,113) = 904 Sum = 3788.048773738052391 Averaged sum = 0.3784642595402190420 logp*logq = 21.91016136198975101 -------------- ************************************* p = 103; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5630670206.483763227 -------------- Searches starting with [103,127]-exponents: u = 1, v = 22 n_start has 49 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(103,127) = 0.8268549126435554926 D2(103,127) = 0.01719404004671283263 C1(103,127) = 1.069759301076561995 C2(103,127) = 1.548218854701839190 C3(103,127) = 5.158052248155771439 C4(103,127) = 1016 Sum = 4480.053891441379570 Averaged sum = 0.4476025468519711830 logp*logq = 22.45149431401729387 -------------- ************************************* p = 103; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6500977305.121157602 -------------- Searches starting with [103,131]-exponents: u = 1, v = 19 n_start has 43 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(103,131) = 0.6354917137080960149 D2(103,131) = 0.07197099413097782264 C1(103,131) = 0.8572690980648493559 C2(103,131) = 1.646354096887218809 C3(103,131) = 3.723592002563443710 C4(103,131) = 1048 Sum = 4842.126650700806034 Averaged sum = 0.4837772655311026111 logp*logq = 22.59521835717990171 -------------- ************************************* p = 103; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8000566738.843569093 -------------- Searches starting with [103,137]-exponents: u = 1, v = 16 n_start has 37 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(103,137) = 1.041382833385693379 D2(103,137) = 0.02521937179187134827 C1(103,137) = 1.418567846658628408 C2(103,137) = 1.679005719749014399 C3(103,137) = 8.806446880276844783 C4(103,137) = 1096 Sum = 4855.572430177684437 Averaged sum = 0.4851206344467663539 logp*logq = 22.80277821847249206 -------------- ************************************* p = 103; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8556434239.807087609 -------------- Searches starting with [103,139]-exponents: u = 1, v = 15 n_start has 35 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(103,139) = 0.8547454458637718940 D2(103,139) = 0.1411258213174002811 C1(103,139) = 1.099028918168245386 C2(103,139) = 1.797185568700066393 C3(103,139) = 5.394857957309805675 C4(103,139) = 1112 Sum = 4129.312388193958597 Averaged sum = 0.4125599348780056546 logp*logq = 22.86994937954432240 -------------- ************************************* p = 103; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11806723564.03992491 -------------- Searches starting with [103,149]-exponents: u = 1, v = 12 n_start has 29 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(103,149) = 0.7426271635944138138 D2(103,149) = 0.06385796744656228370 C1(103,149) = 0.9796945008616263123 C2(103,149) = 1.831116451303979037 C3(103,149) = 4.492627255056493842 C4(103,149) = 1192 Sum = 4637.121496784338442 Averaged sum = 0.4632951840128223041 logp*logq = 23.19193499971002130 -------------- ************************************* p = 103; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12559363271.36212532 -------------- Searches starting with [103,151]-exponents: u = 1, v = 12 n_start has 29 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(103,151) = 0.7561942423707611244 D2(103,151) = 0.1214576127234024419 C1(103,151) = 1.208450317905429191 C2(103,151) = 1.250362986719786897 C3(103,151) = 6.380538455650092280 C4(103,151) = 1208 Sum = 4799.645161738829844 Averaged sum = 0.4795329365310050798 logp*logq = 23.25373230174618630 -------------- ************************************* p = 103; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15045262667.43968535 -------------- Searches starting with [103,157]-exponents: u = 1, v = 10 n_start has 24 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(103,157) = 1.551797873307494859 D2(103,157) = 0.08434693671434540670 C1(103,157) = 2.509500914136089936 C2(103,157) = 1.008255638144061842 C3(103,157) = 46.92331656338443790 C4(103,157) = 1256 Sum = 4909.409577782604083 Averaged sum = 0.4904995082208616328 logp*logq = 23.43432900566230370 -------------- ************************************* p = 103; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17901524512.80492012 -------------- Searches starting with [103,163]-exponents: u = 1, v = 10 n_start has 25 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(103,163) = 0.7860241883715031102 D2(103,163) = 0.08550165038221133653 C1(103,163) = 1.288910410019961240 C2(103,163) = 1.220470948113420129 C3(103,163) = 7.218479220071925400 C4(103,163) = 1304 Sum = 4469.949780631791026 Averaged sum = 0.4465930443232881432 logp*logq = 23.60815171447962963 -------------- ************************************* p = 103; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20030346469.19151726 -------------- Searches starting with [103,167]-exponents: u = 1, v = 9 n_start has 23 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(103,167) = 0.6827584048501695040 D2(103,167) = 0.1064710840183185920 C1(103,167) = 0.9464828626784863762 C2(103,167) = 1.716905757217511914 C3(103,167) = 4.269535490106714973 C4(103,167) = 1336 Sum = 4291.973615598379587 Averaged sum = 0.4288114312716934346 logp*logq = 23.72051428398784369 -------------- ************************************* p = 103; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23590500289.12077113 -------------- Searches starting with [103,173]-exponents: u = 1, v = 8 n_start has 20 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(103,173) = 1.017134118520541084 D2(103,173) = 0.07038624630242872636 C1(103,173) = 1.324864285167794607 C2(103,173) = 1.157868148796128390 C3(103,173) = 7.627669491659329085 C4(103,173) = 1384 Sum = 4783.992151877347702 Averaged sum = 0.4779690430489906786 logp*logq = 23.88410993781897747 -------------- ************************************* p = 103; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27628878012.11894632 -------------- Searches starting with [103,179]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(103,179) = 0.6984746674526532066 D2(103,179) = 0.06352702863255305793 C1(103,179) = 0.9214482699579903396 C2(103,179) = 1.582101232233836859 C3(103,179) = 4.108724102704274344 C4(103,179) = 1432 Sum = 4612.468178414678870 Averaged sum = 0.4608320689793864392 logp*logq = 24.04212736746109623 -------------- ************************************* p = 103; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29088969550.96054064 -------------- Searches starting with [103,181]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(103,181) = 0.8514448716542583928 D2(103,181) = 0.002674272990594561835 C1(103,181) = 1.146942493425465679 C2(103,181) = 2.027541333866114711 C3(103,181) = 5.806195061633554453 C4(103,181) = 1448 Sum = 5037.862550431150831 Averaged sum = 0.5033332551135129215 logp*logq = 24.09362488603342580 -------------- ************************************* p = 103; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37322563903.03974157 -------------- Searches starting with [103,191]-exponents: u = 1, v = 7 n_start has 18 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(103,191) = 1.160009758225820325 D2(103,191) = 0.03722467167753471243 C1(103,191) = 1.787924091705082783 C2(103,191) = 1.771241529544685267 C3(103,191) = 15.51675742113994628 C4(103,191) = 1528 Sum = 3607.398746393106544 Averaged sum = 0.3604155006886908326 logp*logq = 24.34286391107595754 -------------- ************************************* p = 103; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39168660015.85041121 -------------- Searches starting with [103,193]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(103,193) = 0.6199078725430028350 D2(103,193) = 0.02894701700823574235 C1(103,193) = 0.8460117685101732198 C2(103,193) = 1.604205589249613497 C3(103,193) = 3.659859668073889028 C4(103,193) = 1544 Sum = 4601.869088579610886 Averaged sum = 0.4597731130562104991 logp*logq = 24.39114277458917096 -------------- ************************************* p = 103; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43075381342.27027166 -------------- Searches starting with [103,197]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(103,197) = 0.7055507994097132361 D2(103,197) = 0.01651036418405479140 C1(103,197) = 0.9731795131530000049 C2(103,197) = 1.345990436732346736 C3(103,197) = 4.447963830784823470 C4(103,197) = 1576 Sum = 4753.212034115602064 Averaged sum = 0.4748937989924669861 logp*logq = 24.48621747230485655 -------------- ************************************* p = 103; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45139941604.70364618 -------------- Searches starting with [103,199]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 23 left neighbors We generated 9987 right neighbors We generated 10009 non-negative rho_i D1(103,199) = 1.021122028480206333 D2(103,199) = 0.005738494835966045790 C1(103,199) = 1.774435804840025978 C2(103,199) = 2.137697770818169977 C3(103,199) = 15.19908498325193775 C4(103,199) = 1592 Sum = 4708.697836032697734 Averaged sum = 0.4704463818595961368 logp*logq = 24.53303331468639615 -------------- ************************************* p = 103; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59213300968.03725843 -------------- Searches starting with [103,211]-exponents: u = 15, v = 6 n_start has 45 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(103,211) = 0.7146824339029969152 D2(103,211) = 0.1495668640255830976 C1(103,211) = 0.9542664857742841607 C2(103,211) = 1.341889341742654483 C3(103,211) = 4.320805433496232480 C4(103,211) = 1688 Sum = 4445.083838458827665 Averaged sum = 0.4441086860284571550 logp*logq = 24.80441203211407666 -------------- ************************************* p = 103; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76516768782.02713446 -------------- Searches starting with [103,223]-exponents: u = 74796, v = 6 n_start has 150567 digits --- performed 5000 steps in the continued fraction search [103,223]-exponents: u = 39803, v = 30000 --- performed 10000 steps in the continued fraction search [103,223]-exponents: u = 4803, v = 60000 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,223) = 0.7474649855052287516 D2(103,223) = 0.7474648633193739090 C1(103,223) = 0.8496066024856005315 C2(103,223) = 1.334365240972876746 C3(103,223) = 3.680092037055036448 C4(103,223) = 1784 Sum = 7473.901779199294243 Averaged sum = 0.7474649244123706613 logp*logq = 25.06077575352320356 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,223) = 0.7474649855052287516 D2(103,223) = 0.7474648633193739090 C1(103,223) = 0.8496066024856005315 C2(103,223) = 1.334365240972876746 C3(103,223) = 3.680092037055036448 C4(103,223) = 1784 Sum = 7473.901779199294243 Averaged sum = 0.7474649244123706613 logp*logq = 25.06077575352320356 -------------- ************************************* p = 103; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83088580094.98475172 -------------- Searches starting with [103,227]-exponents: u = 7, v = 41 n_start has 111 digits starting right neighbors generation We generated 758 left neighbors We generated 9252 right neighbors We generated 10009 non-negative rho_i D1(103,227) = 0.6452113267578501555 D2(103,227) = 0.003480764144045822006 C1(103,227) = 0.8587042240067686738 C2(103,227) = 1.368340425871291398 C3(103,227) = 3.731796196126744751 C4(103,227) = 1816 Sum = 4580.727777975660368 Averaged sum = 0.4576608830028634597 logp*logq = 25.14317310571792631 -------------- ************************************* p = 103; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86536219332.66262565 -------------- Searches starting with [103,229]-exponents: u = 7, v = 29 n_start has 83 digits starting right neighbors generation We generated 485 left neighbors We generated 9525 right neighbors We generated 10009 non-negative rho_i D1(103,229) = 1.158099478566819287 D2(103,229) = 0.02115165131307621946 C1(103,229) = 1.661747546922550478 C2(103,229) = 1.468764816643676933 C3(103,229) = 12.78687207118345840 C4(103,229) = 1832 Sum = 3731.134105498213774 Averaged sum = 0.3727779104304339868 logp*logq = 25.18382888385405047 -------------- ************************************* p = 103; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93767667436.25972988 -------------- Searches starting with [103,233]-exponents: u = 7, v = 17 n_start has 55 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(103,233) = 0.7951318590800387724 D2(103,233) = 0.06383489963516092151 C1(103,233) = 1.202215892284299920 C2(103,233) = 1.651586013593849750 C3(103,233) = 6.319824981420465517 C4(103,233) = 1864 Sum = 4382.675372814774798 Averaged sum = 0.4378734511754196021 logp*logq = 25.26408593669539779 -------------- ************************************* p = 103; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105494470600.5704219 -------------- Searches starting with [103,239]-exponents: u = 7, v = 11 n_start has 41 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(103,239) = 1.113348044167846601 D2(103,239) = 0.08482806267605993512 C1(103,239) = 1.779061162633456184 C2(103,239) = 1.051844143132771686 C3(103,239) = 15.30728062809815276 C4(103,239) = 1912 Sum = 3338.641024229714921 Averaged sum = 0.3335638949175457010 logp*logq = 25.38192437712000781 -------------- ************************************* p = 103; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109648687540.3205189 -------------- Searches starting with [103,241]-exponents: u = 13, v = 5 n_start has 39 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(103,241) = 0.6561195199812371738 D2(103,241) = 0.1200645162763607090 C1(103,241) = 0.8921706218349945538 C2(103,241) = 1.858570485882546990 C3(103,241) = 3.928324479845844021 C4(103,241) = 1928 Sum = 4707.453512862167442 Averaged sum = 0.4703220614309289081 logp*logq = 25.42054734220215231 -------------- ************************************* p = 103; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132384566984.3198370 -------------- Searches starting with [103,251]-exponents: u = 25, v = 5 n_start has 63 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(103,251) = 0.8463492960723001753 D2(103,251) = 0.07766488490911005247 C1(103,251) = 1.224330152732073979 C2(103,251) = 1.709978606563910854 C3(103,251) = 6.537830955152934525 C4(103,251) = 2008 Sum = 4370.260890111860782 Averaged sum = 0.4366331192039025659 logp*logq = 25.60897691009271998 -------------- ************************************* p = 103; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147702180374.1196912 -------------- Searches starting with [103,257]-exponents: u = 85, v = 5 n_start has 184 digits starting right neighbors generation We generated 3166 left neighbors We generated 6844 right neighbors We generated 10009 non-negative rho_i D1(103,257) = 0.5745673563969186960 D2(103,257) = 0.01230117025005874803 C1(103,257) = 0.7699088099346168950 C2(103,257) = 1.513126234852694323 C3(103,257) = 3.256701920391640458 C4(103,257) = 2056 Sum = 4823.346307101459170 Averaged sum = 0.4819009198822518902 logp*logq = 25.71846378855569051 -------------- ************************************* p = 103; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164376245956.7836389 -------------- Searches starting with [103,263]-exponents: u = 6, v = 84 n_start has 216 digits starting right neighbors generation We generated 4383 left neighbors We generated 5627 right neighbors We generated 10009 non-negative rho_i D1(103,263) = 0.8319121897382416539 D2(103,263) = 0.006885586753003501890 C1(103,263) = 1.104937812944026195 C2(103,263) = 1.481616551610487249 C3(103,263) = 5.443966979033550767 C4(103,263) = 2104 Sum = 5050.230177206347195 Averaged sum = 0.5045689057054997697 logp*logq = 25.82542381981493602 -------------- ************************************* p = 103; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 182491788022.3707875 -------------- Searches starting with [103,269]-exponents: u = 6, v = 24 n_start has 71 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(103,269) = 0.6964207154752124785 D2(103,269) = 0.02878869105104809941 C1(103,269) = 0.9046154402092190935 C2(103,269) = 1.710478929022007224 C3(103,269) = 4.004016932083236831 C4(103,269) = 2152 Sum = 4388.452577263825008 Averaged sum = 0.4384506521394569895 logp*logq = 25.92997101181886146 -------------- ************************************* p = 103; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 188865790131.5614686 -------------- Searches starting with [103,271]-exponents: u = 6, v = 19 n_start has 59 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(103,271) = 0.6348533581904720170 D2(103,271) = 0.06132746614080468840 C1(103,271) = 0.8321584778378102560 C2(103,271) = 1.744270831932678114 C3(103,271) = 3.582925719031302858 C4(103,271) = 2168 Sum = 4591.121082065343638 Averaged sum = 0.4586992788555643558 logp*logq = 25.96430249463797630 -------------- ************************************* p = 103; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 209041151411.9287860 -------------- Searches starting with [103,277]-exponents: u = 6, v = 14 n_start has 47 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(103,277) = 0.6955015429078773852 D2(103,277) = 0.006877809293574074797 C1(103,277) = 0.9233062793294909831 C2(103,277) = 1.694723064854078094 C3(103,277) = 4.120448203913696549 C4(103,277) = 2216 Sum = 4706.166151280059250 Averaged sum = 0.4701934410310779548 logp*logq = 26.06579696623740270 -------------- ************************************* p = 103; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 223403598623.0971147 -------------- Searches starting with [103,281]-exponents: u = 6, v = 9 n_start has 35 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(103,281) = 0.6009064869985731538 D2(103,281) = 0.03588873120136493276 C1(103,281) = 0.7940730609321531364 C2(103,281) = 1.863181189418215255 C3(103,281) = 3.379652047037362771 C4(103,281) = 2248 Sum = 4641.487685150958098 Averaged sum = 0.4637314102458745227 logp*logq = 26.13224583188103406 -------------- ************************************* p = 103; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 230869023312.8878817 -------------- Searches starting with [103,283]-exponents: u = 6, v = 9 n_start has 35 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(103,283) = 0.6253841212704656122 D2(103,283) = 0.05065925013904915936 C1(103,283) = 0.8534852627524872922 C2(103,283) = 1.879271278914269053 C3(103,283) = 3.702047292539136125 C4(103,283) = 2264 Sum = 4355.029303890993317 Averaged sum = 0.4351113301919265978 logp*logq = 26.16511638801817885 -------------- ************************************* p = 103; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 271183255583.9257776 -------------- Searches starting with [103,293]-exponents: u = 11, v = 4 n_start has 33 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(103,293) = 0.9279255877173697998 D2(103,293) = 0.05123645489718356465 C1(103,293) = 1.207296573171807145 C2(103,293) = 1.921351265234091333 C3(103,293) = 6.369258985478688415 C4(103,293) = 2344 Sum = 4404.942578883373182 Averaged sum = 0.4400981695357551386 logp*logq = 26.32606064915936285 -------------- ************************************* p = 103; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 336676130097.8142289 -------------- Searches starting with [103,307]-exponents: u = 21, v = 4 n_start has 53 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(103,307) = 0.7851576548462537301 D2(103,307) = 0.06446956868486709527 C1(103,307) = 1.180654917870461182 C2(103,307) = 1.813789487795947595 C3(103,307) = 6.114274288561095735 C4(103,307) = 2456 Sum = 4294.870271055134251 Averaged sum = 0.4291008363527959087 logp*logq = 26.54238726691997880 -------------- ************************************* p = 103; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 357494064631.0765296 -------------- Searches starting with [103,311]-exponents: u = 26, v = 4 n_start has 63 digits starting right neighbors generation We generated 325 left neighbors We generated 9685 right neighbors We generated 10009 non-negative rho_i D1(103,311) = 0.7104123443645802639 D2(103,311) = 0.007697816655188184084 C1(103,311) = 1.044801622060784193 C2(103,311) = 1.759742809184861140 C3(103,311) = 4.964360543236427166 C4(103,311) = 2488 Sum = 4328.638509374045651 Averaged sum = 0.4324746237760061595 logp*logq = 26.60238459651209646 -------------- ************************************* p = 103; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 368274528905.3725852 -------------- Searches starting with [103,313]-exponents: u = 26, v = 4 n_start has 63 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(103,313) = 0.7706314322732808467 D2(103,313) = 0.06855017226204547094 C1(103,313) = 1.114801250262249972 C2(103,313) = 1.733626025572059527 C3(103,313) = 5.526940276267826352 C4(103,313) = 2504 Sum = 4149.704212402100344 Averaged sum = 0.4145972836848936302 logp*logq = 26.63209449945406929 -------------- ************************************* p = 103; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 390599662665.1402973 -------------- Searches starting with [103,317]-exponents: u = 41, v = 4 n_start has 93 digits starting right neighbors generation We generated 642 left neighbors We generated 9368 right neighbors We generated 10009 non-negative rho_i D1(103,317) = 0.7448980650378244343 D2(103,317) = 0.05294382818196118721 C1(103,317) = 1.052515383512884367 C2(103,317) = 1.655405709527563103 C3(103,317) = 5.023435936368739120 C4(103,317) = 2536 Sum = 3598.314524384949006 Averaged sum = 0.3595078953326954747 logp*logq = 26.69094899175610346 -------------- ************************************* p = 103; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 477221331474.1106150 -------------- Searches starting with [103,331]-exponents: u = 5, v = 131 n_start has 341 digits --- performed 5000 steps in the continued fraction search [103,331]-exponents: u = 85, v = 32 --- starting right neighbors generation We generated 9442 left neighbors We generated 568 right neighbors We generated 10009 non-negative rho_i D1(103,331) = 0.6121528035508652400 D2(103,331) = 0.004580174603112477009 C1(103,331) = 0.7951552285432884263 C2(103,331) = 1.346740982616306975 C3(103,331) = 3.385265534258450576 C4(103,331) = 2648 Sum = 5121.396565605819945 Averaged sum = 0.5116791453297851879 logp*logq = 26.89124622749991278 -------------- ************************************* p = 103; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 518656199139.1037417 -------------- Searches starting with [103,337]-exponents: u = 5, v = 43 n_start has 119 digits starting right neighbors generation We generated 1131 left neighbors We generated 8879 right neighbors We generated 10009 non-negative rho_i D1(103,337) = 0.8028597240786488015 D2(103,337) = 0.01688742363129183112 C1(103,337) = 1.111525371419877340 C2(103,337) = 1.600727715853723252 C3(103,337) = 5.499243581541443130 C4(103,337) = 2696 Sum = 3703.290861343988355 Averaged sum = 0.3699960896537104961 logp*logq = 26.97450707120457517 -------------- ************************************* p = 103; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 593934641547.0628796 -------------- Searches starting with [103,347]-exponents: u = 5, v = 19 n_start has 59 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(103,347) = 0.8465920650249641942 D2(103,347) = 0.07058966605339797661 C1(103,347) = 1.095813517864259142 C2(103,347) = 1.790698715103550131 C3(103,347) = 5.368321036535551496 C4(103,347) = 2776 Sum = 4177.780524247507176 Averaged sum = 0.4174023902735045635 logp*logq = 27.11003511918964360 -------------- ************************************* p = 103; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 609967531715.3342881 -------------- Searches starting with [103,349]-exponents: u = 5, v = 15 n_start has 49 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(103,349) = 0.9224726945140814342 D2(103,349) = 0.1048314992803365927 C1(103,349) = 1.367614172039397766 C2(103,349) = 1.825888350862446186 C3(103,349) = 8.144498208174514240 C4(103,349) = 2792 Sum = 4064.781702103200817 Averaged sum = 0.4061126688083925284 logp*logq = 27.13667156600100393 -------------- ************************************* p = 103; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 643050799526.0584761 -------------- Searches starting with [103,353]-exponents: u = 5, v = 15 n_start has 49 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(103,353) = 0.6205333666685059709 D2(103,353) = 0.02161082486780736892 C1(103,353) = 0.8271806535155331350 C2(103,353) = 1.849750302492525078 C3(103,353) = 3.555678226598611402 C4(103,353) = 2824 Sum = 4601.211829439020907 Averaged sum = 0.4597074462422840351 logp*logq = 27.18948956199193583 -------------- ************************************* p = 103; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 695296924677.9786040 -------------- Searches starting with [103,359]-exponents: u = 5, v = 11 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(103,359) = 0.7724917925725866865 D2(103,359) = 0.08276028822831093038 C1(103,359) = 1.111308793891341483 C2(103,359) = 1.913858784323014730 C3(103,359) = 5.497417374464583470 C4(103,359) = 2872 Sum = 3662.991014822625216 Averaged sum = 0.3659697287264087537 logp*logq = 27.26760482102704486 -------------- ************************************* p = 103; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 770073454858.1006677 -------------- Searches starting with [103,367]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(103,367) = 0.7606715646159875958 D2(103,367) = 0.1252257318138430943 C1(103,367) = 1.027652002990298344 C2(103,367) = 1.875876988346935942 C3(103,367) = 4.835498483097442763 C4(103,367) = 2936 Sum = 4224.577315284164019 Averaged sum = 0.4220778614531086042 logp*logq = 27.36975174316385057 -------------- ************************************* p = 103; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 830182304502.8848008 -------------- Searches starting with [103,373]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(103,373) = 0.9777492834803766621 D2(103,373) = 0.08786893315360502000 C1(103,373) = 1.455983615544476206 C2(103,373) = 1.841684823677481334 C3(103,373) = 9.326539475235101378 C4(103,373) = 2984 Sum = 3777.809611017199413 Averaged sum = 0.3774412639641522043 logp*logq = 27.44491115759822675 -------------- ************************************* p = 103; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 893910207786.8995865 -------------- Searches starting with [103,379]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(103,379) = 0.7190134236210803182 D2(103,379) = 0.04793158170091232475 C1(103,379) = 1.015950839257260960 C2(103,379) = 1.592905336493446193 C3(103,379) = 4.749501087869565819 C4(103,379) = 3032 Sum = 4249.940278142975888 Averaged sum = 0.4246118771248851921 logp*logq = 27.51887116835850503 -------------- ************************************* p = 103; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 938482632642.6277028 -------------- Searches starting with [103,383]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(103,383) = 0.8215269612251918750 D2(103,383) = 0.02605852402616920867 C1(103,383) = 1.111566529570336367 C2(103,383) = 1.372765554874184532 C3(103,383) = 5.499590700477185651 C4(103,383) = 3064 Sum = 4104.811635577713884 Averaged sum = 0.4101120627013401823 logp*logq = 27.56753018735968794 -------------- ************************************* p = 103; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1008589622453.855701 -------------- Searches starting with [103,389]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(103,389) = 0.9437722343071197243 D2(103,389) = 0.006451075022380208034 C1(103,389) = 1.221311238579137481 C2(103,389) = 2.073044545377787158 C3(103,389) = 6.507632460435793062 C4(103,389) = 3112 Sum = 4833.387041054656873 Averaged sum = 0.4829040904240840117 logp*logq = 27.63957405747587699 -------------- ************************************* p = 103; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1108382591478.531117 -------------- Searches starting with [103,397]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(103,397) = 0.7257034519372265394 D2(103,397) = 0.04351502197344658729 C1(103,397) = 0.9663380444074017905 C2(103,397) = 1.605241416184342920 C3(103,397) = 4.401540094955003337 C4(103,397) = 3176 Sum = 4674.920025518326752 Averaged sum = 0.4670716380775628686 logp*logq = 27.73392294381995179 -------------- ************************************* p = 103; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1161097484930.855572 -------------- Searches starting with [103,401]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(103,401) = 0.6260423676788934165 D2(103,401) = 0.06006331560857419954 C1(103,401) = 0.8359123947472909882 C2(103,401) = 1.710995786002529356 C3(103,401) = 3.603611834859683986 C4(103,401) = 3208 Sum = 4582.815227283521327 Averaged sum = 0.4578694402321432038 logp*logq = 27.78038678146803892 -------------- ************************************* p = 103; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1272417767721.805451 -------------- Searches starting with [103,409]-exponents: u = 9, v = 3 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(103,409) = 0.7506350506961401315 D2(103,409) = 0.09714635758971056127 C1(103,409) = 0.9783053892958152082 C2(103,409) = 1.890417643580251349 C3(103,409) = 4.483066750823216254 C4(103,409) = 3272 Sum = 4445.411479961045726 Averaged sum = 0.4441414207174588596 logp*logq = 27.87193996066748074 -------------- ************************************* p = 103; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1423152190468.145542 -------------- Searches starting with [103,419]-exponents: u = 13, v = 3 n_start has 35 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(103,419) = 0.8674005292279436806 D2(103,419) = 0.07219053071091554751 C1(103,419) = 1.135817400673015997 C2(103,419) = 1.998017374722320612 C3(103,419) = 5.707974699535215762 C4(103,419) = 3352 Sum = 4545.563743230750051 Averaged sum = 0.4541476414457738086 logp*logq = 27.98389537975186959 -------------- ************************************* p = 103; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1454910582731.087773 -------------- Searches starting with [103,421]-exponents: u = 13, v = 3 n_start has 35 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(103,421) = 0.7612840506889562204 D2(103,421) = 0.05396378558779498997 C1(103,421) = 1.013185092661447360 C2(103,421) = 1.980856076779022380 C3(103,421) = 4.729398800894820390 C4(103,421) = 3368 Sum = 4701.241662886215486 Averaged sum = 0.4697014349971241369 logp*logq = 28.00596555949592059 -------------- ************************************* p = 103; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1622139399561.037007 -------------- Searches starting with [103,431]-exponents: u = 17, v = 3 n_start has 43 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(103,431) = 0.8980238497738446240 D2(103,431) = 0.1504304626542962405 C1(103,431) = 1.204840722543542179 C2(103,431) = 1.508980067037076955 C3(103,431) = 6.345315957251905928 C4(103,431) = 3448 Sum = 5131.262296991717559 Averaged sum = 0.5126648313509558956 logp*logq = 28.11476701093815121 -------------- ************************************* p = 103; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1657321942526.368642 -------------- Searches starting with [103,433]-exponents: u = 17, v = 3 n_start has 43 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(103,433) = 0.8077994027880016870 D2(103,433) = 0.1231293006294807275 C1(103,433) = 1.081114500851213614 C2(103,433) = 1.951427062361709616 C3(103,433) = 5.248661640056974979 C4(103,433) = 3464 Sum = 4819.680533278136715 Averaged sum = 0.4815346721229030588 logp*logq = 28.13622412791245757 -------------- ************************************* p = 103; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1766472628118.075486 -------------- Searches starting with [103,439]-exponents: u = 21, v = 3 n_start has 51 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(103,439) = 0.8245401919559029624 D2(103,439) = 0.04717139817677399833 C1(103,439) = 1.239875108656002447 C2(103,439) = 1.878425266881343546 C3(103,439) = 6.695561541550348401 C4(103,439) = 3512 Sum = 3981.965887221833623 Averaged sum = 0.3978385340415459709 logp*logq = 28.20000580864570159 -------------- ************************************* p = 103; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1842315748191.612955 -------------- Searches starting with [103,443]-exponents: u = 21, v = 3 n_start has 51 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(103,443) = 0.7482514010721350687 D2(103,443) = 0.004022373840521418473 C1(103,443) = 1.017451139998602972 C2(103,443) = 1.837224410811522431 C3(103,443) = 4.760441453131115141 C4(103,443) = 3544 Sum = 4700.873455122122953 Averaged sum = 0.4696646473296156412 logp*logq = 28.24204445502798580 -------------- ************************************* p = 103; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1960843805625.191766 -------------- Searches starting with [103,449]-exponents: u = 25, v = 3 n_start has 59 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(103,449) = 0.7863622398515707989 D2(103,449) = 0.04166397855043237914 C1(103,449) = 1.041940899286185494 C2(103,449) = 1.801024938641072732 C3(103,449) = 4.942628899648450459 C4(103,449) = 3592 Sum = 4560.781090428445953 Averaged sum = 0.4556680078357923822 logp*logq = 28.30439600960088675 -------------- ************************************* p = 103; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2128093566169.504939 -------------- Searches starting with [103,457]-exponents: u = 37, v = 3 n_start has 83 digits starting right neighbors generation We generated 455 left neighbors We generated 9555 right neighbors We generated 10009 non-negative rho_i D1(103,457) = 0.9886701649126429875 D2(103,457) = 0.01159076045132918324 C1(103,457) = 1.408564103389285642 C2(103,457) = 1.715068860192704658 C3(103,457) = 8.672373690926932718 C4(103,457) = 3656 Sum = 3107.707190440396647 Averaged sum = 0.3104912768948343138 logp*logq = 28.38624765550595215 -------------- ************************************* p = 103; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2215806820673.873411 -------------- Searches starting with [103,461]-exponents: u = 41, v = 3 n_start has 91 digits starting right neighbors generation We generated 510 left neighbors We generated 9500 right neighbors We generated 10009 non-negative rho_i D1(103,461) = 0.6719458924516358387 D2(103,461) = 0.01096763109677604980 C1(103,461) = 0.9426598464513632237 C2(103,461) = 1.668083992178263041 C3(103,461) = 4.244576898619443955 C4(103,461) = 3688 Sum = 4348.740442934978375 Averaged sum = 0.4344830095848714532 logp*logq = 28.42663770622748486 -------------- ************************************* p = 103; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2260713301198.929089 -------------- Searches starting with [103,463]-exponents: u = 45, v = 3 n_start has 99 digits starting right neighbors generation We generated 565 left neighbors We generated 9445 right neighbors We generated 10009 non-negative rho_i D1(103,463) = 0.9480719153146764100 D2(103,463) = 0.02872754913362430710 C1(103,463) = 1.321663559962417056 C2(103,463) = 1.646651623593981216 C3(103,463) = 7.590320351811364662 C4(103,463) = 3704 Sum = 5308.622065841839035 Averaged sum = 0.5303848602099949081 logp*logq = 28.44670149941475460 -------------- ************************************* p = 103; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2352666264851.137619 -------------- Searches starting with [103,467]-exponents: u = 61, v = 3 n_start has 131 digits starting right neighbors generation We generated 1049 left neighbors We generated 8961 right neighbors We generated 10009 non-negative rho_i D1(103,467) = 0.7727190811087392584 D2(103,467) = 0.03195338588444009319 C1(103,467) = 1.060984985355666088 C2(103,467) = 1.587902270622549009 C3(103,467) = 5.089109893985158038 C4(103,467) = 3736 Sum = 3702.414188771073611 Averaged sum = 0.3699085012260039575 logp*logq = 28.48657038172197673 -------------- ************************************* p = 103; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2646236784922.591927 -------------- Searches starting with [103,479]-exponents: u = 257, v = 3 n_start has 526 digits --- performed 5000 steps in the continued fraction search [103,479]-exponents: u = 211, v = 17 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,479) = 0.6137219332190250743 D2(103,479) = 0.1285469884730727343 C1(103,479) = 0.7833340042568714418 C2(103,479) = 1.330519426066658434 C3(103,479) = 3.324447787641705748 C4(103,479) = 3832 Sum = 5288.653742794660178 Averaged sum = 0.5289182661060766254 logp*logq = 28.60415966549452981 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,479) = 0.6137219332190250743 D2(103,479) = 0.1285469884730727343 C1(103,479) = 0.7833340042568714418 C2(103,479) = 1.330519426066658434 C3(103,479) = 3.324447787641705748 C4(103,479) = 3832 Sum = 5288.653742794660178 Averaged sum = 0.5289182661060766254 logp*logq = 28.60415966549452981 -------------- ************************************* p = 103; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2857382517608.365019 -------------- Searches starting with [103,487]-exponents: u = 4, v = 179 n_start has 490 digits --- performed 5000 steps in the continued fraction search [103,487]-exponents: u = 29, v = 138 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,487) = 0.9926348196837822875 D2(103,487) = 0.09879867682656599777 C1(103,487) = 1.270603051208572019 C2(103,487) = 1.327328394907524833 C3(103,487) = 7.018633483882085603 C4(103,487) = 3896 Sum = 5236.966559625370260 Averaged sum = 0.5237490308656235883 logp*logq = 28.68092711807232562 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,487) = 0.9926348196837822875 D2(103,487) = 0.09879867682656599777 C1(103,487) = 1.270603051208572019 C2(103,487) = 1.327328394907524833 C3(103,487) = 7.018633483882085603 C4(103,487) = 3896 Sum = 5236.966559625370260 Averaged sum = 0.5237490308656235883 logp*logq = 28.68092711807232562 -------------- ************************************* p = 103; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2967791599701.856260 -------------- Searches starting with [103,491]-exponents: u = 4, v = 89 n_start has 248 digits starting right neighbors generation We generated 3730 left neighbors We generated 6280 right neighbors We generated 10009 non-negative rho_i D1(103,491) = 1.060499505530190228 D2(103,491) = 0.01352896154950658865 C1(103,491) = 1.398466279169525298 C2(103,491) = 1.423078873154895492 C3(103,491) = 8.539109574849152429 C4(103,491) = 3928 Sum = 5279.860727862350361 Averaged sum = 0.5275113126048906345 logp*logq = 28.71883922303456626 -------------- ************************************* p = 103; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3198635934644.923637 -------------- Searches starting with [103,499]-exponents: u = 4, v = 44 n_start has 127 digits starting right neighbors generation We generated 1003 left neighbors We generated 9007 right neighbors We generated 10009 non-negative rho_i D1(103,499) = 0.9491582805788769172 D2(103,499) = 0.002064943164182856322 C1(103,499) = 1.300488395149846279 C2(103,499) = 1.585821908645040565 C3(103,499) = 7.347793297350034724 C4(103,499) = 3992 Sum = 5474.693589937645972 Averaged sum = 0.5469770796221047029 logp*logq = 28.79374556443170379 -------------- ************************************* p = 103; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3319215531544.047008 -------------- Searches starting with [103,503]-exponents: u = 4, v = 35 n_start has 103 digits starting right neighbors generation We generated 588 left neighbors We generated 9422 right neighbors We generated 10009 non-negative rho_i D1(103,503) = 0.8200547422981168395 D2(103,503) = 0.03685988861537676850 C1(103,503) = 1.139910657806536682 C2(103,503) = 1.654051223151797954 C3(103,503) = 5.743918225385034333 C4(103,503) = 4024 Sum = 4917.407046790362400 Averaged sum = 0.4912985359966392646 logp*logq = 28.83074958525758217 -------------- ************************************* p = 103; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3506738397567.953013 -------------- Searches starting with [103,509]-exponents: u = 4, v = 29 n_start has 87 digits starting right neighbors generation We generated 478 left neighbors We generated 9532 right neighbors We generated 10009 non-negative rho_i D1(103,509) = 0.8279553266827402250 D2(103,509) = 0.01928499379134895679 C1(103,509) = 1.174546905678078286 C2(103,509) = 1.720718106075610476 C3(103,509) = 6.057268605962384404 C4(103,509) = 4072 Sum = 3043.860376535991146 Averaged sum = 0.3041123365507034815 logp*logq = 28.88570748994100453 -------------- ************************************* p = 103; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3906668425541.292222 -------------- Searches starting with [103,521]-exponents: u = 4, v = 20 n_start has 63 digits **************************************************** Computing .... elapsed time = 15 minutes **************************************************** starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(103,521) = 0.9082673104884023333 D2(103,521) = 0.1026343050389373711 C1(103,521) = 1.156417449013017180 C2(103,521) = 1.862537427680021224 C3(103,521) = 5.891178381645302779 C4(103,521) = 4168 Sum = 3786.285457930176723 Averaged sum = 0.3782880865151540336 logp*logq = 28.99370606163308398 -------------- ************************************* p = 103; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3976661108548.525810 -------------- Searches starting with [103,523]-exponents: u = 4, v = 17 n_start has 55 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(103,523) = 0.6014818649690291348 D2(103,523) = 0.01228949301395559720 C1(103,523) = 0.8000932906201150472 C2(103,523) = 1.842304114684479852 C3(103,523) = 3.410999134473108117 C4(103,523) = 4184 Sum = 4345.006760521931875 Averaged sum = 0.4341099770728276426 logp*logq = 29.01146366568660230 -------------- ************************************* p = 103; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4651880985536.296256 -------------- Searches starting with [103,541]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(103,541) = 0.8219368736690022186 D2(103,541) = 0.02777685840271911394 C1(103,541) = 1.081310330212842536 C2(103,541) = 1.956250180199171922 C3(103,541) = 5.250238152461055432 C4(103,541) = 4328 Sum = 4455.185127024166374 Averaged sum = 0.4451179065864887975 logp*logq = 29.16829276675303730 -------------- ************************************* p = 103; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4895862709547.270091 -------------- Searches starting with [103,547]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(103,547) = 0.6871474984159561958 D2(103,547) = 0.07338644015272354928 C1(103,547) = 0.9859808397881649922 C2(103,547) = 2.003762381855217747 C3(103,547) = 4.536148276643536944 C4(103,547) = 4376 Sum = 4133.868329808430762 Averaged sum = 0.4130151193734070098 logp*logq = 29.21941161939476786 -------------- ************************************* p = 103; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5324694193711.865478 -------------- Searches starting with [103,557]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(103,557) = 0.8458605689356517162 D2(103,557) = 0.1009112037638169762 C1(103,557) = 1.324874188326516399 C2(103,557) = 1.303375498475478298 C3(103,557) = 7.627785335966524162 C4(103,557) = 4456 Sum = 4378.547155713821145 Averaged sum = 0.4374610006707784140 logp*logq = 29.30337639746404541 -------------- ************************************* p = 103; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5595784616183.671858 -------------- Searches starting with [103,563]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(103,563) = 0.6968366393718937504 D2(103,563) = 0.1140391732426813301 C1(103,563) = 0.9846166394268416241 C2(103,563) = 1.906513515727788297 C3(103,563) = 4.526668088014885785 C4(103,563) = 4504 Sum = 3876.472593754617755 Averaged sum = 0.3872986905539632086 logp*logq = 29.35303468310323108 -------------- ************************************* p = 103; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5877581865607.926398 -------------- Searches starting with [103,569]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(103,569) = 0.7232629255793983088 D2(103,569) = 0.08890186707441630015 C1(103,569) = 1.063700939061919266 C2(103,569) = 1.748050706946868876 C3(103,569) = 5.110350883475209624 C4(103,569) = 4552 Sum = 4182.645066681218594 Averaged sum = 0.4178884071017303022 logp*logq = 29.40216654590811225 -------------- ************************************* p = 103; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5973945839042.962338 -------------- Searches starting with [103,571]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(103,571) = 0.8493472809666620967 D2(103,571) = 0.08361330043423128482 C1(103,571) = 1.163734525510719385 C2(103,571) = 1.743403170147840684 C3(103,571) = 5.957657387305316593 C4(103,571) = 4568 Sum = 4461.379664001909849 Averaged sum = 0.4457368032772414676 logp*logq = 29.41842876956870767 -------------- ************************************* p = 103; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6270491490725.224101 -------------- Searches starting with [103,577]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(103,577) = 0.8774551566401374409 D2(103,577) = 0.01969660572815473703 C1(103,577) = 1.165428080927837512 C2(103,577) = 2.094028043302673380 C3(103,577) = 5.973150719241230387 C4(103,577) = 4616 Sum = 4737.225502842564947 Averaged sum = 0.4732965833592331848 logp*logq = 29.46687585517669859 -------------- ************************************* p = 103; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6790273477113.229352 -------------- Searches starting with [103,587]-exponents: u = 11, v = 5 n_start has 36 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(103,587) = 1.017009841449731355 D2(103,587) = 0.03620332961630397962 C1(103,587) = 1.667440099294977383 C2(103,587) = 1.177117154455169654 C3(103,587) = 12.89898978041121124 C4(103,587) = 4696 Sum = 4201.827329051750741 Averaged sum = 0.4198049084875362914 logp*logq = 29.54651233314068953 -------------- ************************************* p = 103; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7117983439990.243337 -------------- Searches starting with [103,593]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(103,593) = 0.6943031033904598905 D2(103,593) = 0.03726151016975092625 C1(103,593) = 0.9522993638521127848 C2(103,593) = 2.017242227515275231 C3(103,593) = 4.307790352650427659 C4(103,593) = 4744 Sum = 3743.203405199808991 Averaged sum = 0.3739837551403545799 logp*logq = 29.59364557651626534 -------------- ************************************* p = 103; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7457969559580.927979 -------------- Searches starting with [103,599]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(103,599) = 0.7386521282135314539 D2(103,599) = 0.02217259986783251306 C1(103,599) = 0.9572603430364329312 C2(103,599) = 2.004248521864385256 C3(103,599) = 4.340689214248357547 C4(103,599) = 4792 Sum = 4280.478959167804526 Averaged sum = 0.4276629992174847164 logp*logq = 29.64030431609746010 -------------- ************************************* p = 103; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7574083175257.817542 -------------- Searches starting with [103,601]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(103,601) = 0.6709469746803659652 D2(103,601) = 0.01728834840522173732 C1(103,601) = 0.9765431332331406099 C2(103,601) = 2.000057921819672836 C3(103,601) = 4.470967365980872414 C4(103,601) = 4808 Sum = 4256.643937735669884 Averaged sum = 0.4252816402972994189 logp*logq = 29.65575342702963516 -------------- ************************************* p = 103; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7930951722547.467024 -------------- Searches starting with [103,607]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(103,607) = 1.077575926116339134 D2(103,607) = 0.003038939028779974700 C1(103,607) = 1.427803081845245069 C2(103,607) = 1.987875438542156910 C3(103,607) = 8.932059579312326245 C4(103,607) = 4856 Sum = 4926.261361920161026 Averaged sum = 0.4921831713378120717 logp*logq = 29.70179415982767928 -------------- ************************************* p = 103; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8300874823679.755844 -------------- Searches starting with [103,613]-exponents: u = 18, v = 5 n_start has 51 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(103,613) = 0.9695459712309269453 D2(103,613) = 0.1125948395572246953 C1(103,613) = 1.483969108090315515 C2(103,613) = 1.218219647300246518 C3(103,613) = 9.735528939248272401 C4(103,613) = 4904 Sum = 3266.651370202268179 Averaged sum = 0.3263714027577448475 logp*logq = 29.74738202562020807 -------------- ************************************* p = 103; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8554911776163.967787 -------------- Searches starting with [103,617]-exponents: u = 18, v = 5 n_start has 51 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(103,617) = 0.6569334757251823070 D2(103,617) = 0.1417760681404245965 C1(103,617) = 0.9020102125568573391 C2(103,617) = 1.971017994865530401 C3(103,617) = 3.988051521448748478 C4(103,617) = 4936 Sum = 3884.971288660720085 Averaged sum = 0.3881477958498071820 logp*logq = 29.77752671067294562 -------------- ************************************* p = 103; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8684195207732.571397 -------------- Searches starting with [103,619]-exponents: u = 18, v = 5 n_start has 51 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(103,619) = 0.7180590386136274602 D2(103,619) = 0.1258310694529434439 C1(103,619) = 1.010846382738662645 C2(103,619) = 1.955720340545120324 C3(103,619) = 4.712466752487035857 C4(103,619) = 4952 Sum = 3720.484769687909036 Averaged sum = 0.3717139344278058783 logp*logq = 29.79252584670306505 -------------- ************************************* p = 103; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9492426414902.378324 -------------- Searches starting with [103,631]-exponents: u = 25, v = 5 n_start has 65 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(103,631) = 0.7497149930674265556 D2(103,631) = 0.04382939625196730121 C1(103,631) = 1.081476660796187560 C2(103,631) = 1.877558761659313041 C3(103,631) = 5.251577558639195758 C4(103,631) = 5048 Sum = 3994.675961592292605 Averaged sum = 0.3991083986004888205 logp*logq = 29.88151537710263602 -------------- ************************************* p = 103; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10210012534489.26501 -------------- Searches starting with [103,641]-exponents: u = 46, v = 5 n_start has 107 digits starting right neighbors generation We generated 848 left neighbors We generated 9162 right neighbors We generated 10009 non-negative rho_i D1(103,641) = 0.7247069247899186554 D2(103,641) = 0.04240015917228435075 C1(103,641) = 0.9459297609478332484 C2(103,641) = 1.778461045039788670 C3(103,641) = 4.265915501021897390 C4(103,641) = 5128 Sum = 4528.721183783109723 Averaged sum = 0.4524648999683394668 logp*logq = 29.95438997577226940 -------------- ************************************* p = 103; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10358498351754.20487 -------------- Searches starting with [103,643]-exponents: u = 53, v = 5 n_start has 121 digits starting right neighbors generation We generated 1137 left neighbors We generated 8873 right neighbors We generated 10009 non-negative rho_i D1(103,643) = 0.5706020048422163445 D2(103,643) = 0.02446742343812745881 C1(103,643) = 0.7843341140758939174 C2(103,643) = 1.761129335337879627 C3(103,643) = 3.329550558789751241 C4(103,643) = 5144 Sum = 4539.802575598435907 Averaged sum = 0.4535720427213943358 logp*logq = 29.96882839551221890 -------------- ************************************* p = 103; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10660548559781.01582 -------------- Searches starting with [103,647]-exponents: u = 74, v = 5 n_start has 164 digits starting right neighbors generation We generated 2077 left neighbors We generated 7933 right neighbors We generated 10009 non-negative rho_i D1(103,647) = 0.6862756238924773845 D2(103,647) = 0.02376579824880692476 C1(103,647) = 0.9257750005009667151 C2(103,647) = 1.689728090585711749 C3(103,647) = 4.136077688863036864 C4(103,647) = 5176 Sum = 4738.510946242773837 Averaged sum = 0.4734250121133753459 logp*logq = 29.99757099298399107 -------------- ************************************* p = 103; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11126529420186.31690 -------------- Searches starting with [103,653]-exponents: u = 179, v = 5 n_start has 375 digits --- performed 5000 steps in the continued fraction search [103,653]-exponents: u = 52, v = 64 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,653) = 0.5592717369589634079 D2(103,653) = 0.05042043309304245394 C1(103,653) = 0.7534056231360779048 C2(103,653) = 1.481265153019050752 C3(103,653) = 3.175312595362798748 C4(103,653) = 5224 Sum = 4997.887275685489040 Averaged sum = 0.4998387114396928733 logp*logq = 30.04035341050370047 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,653) = 0.5592717369589634079 D2(103,653) = 0.05042043309304245394 C1(103,653) = 0.7534056231360779048 C2(103,653) = 1.481265153019050752 C3(103,653) = 3.175312595362798748 C4(103,653) = 5224 Sum = 4997.887275685489040 Averaged sum = 0.4998387114396928733 logp*logq = 30.04035341050370047 -------------- ************************************* p = 103; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11608335341769.99357 -------------- Searches starting with [103,659]-exponents: u = 7, v = 437 n_start has 1246 digits --- performed 5000 steps in the continued fraction search [103,659]-exponents: u = 326, v = 201 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,659) = 0.6075011352778656829 D2(103,659) = 0.4047510869673663564 C1(103,659) = 0.7526919545581950963 C2(103,659) = 1.484821565764265841 C3(103,659) = 3.171839224031477152 C4(103,659) = 5272 Sum = 5717.492940357921885 Averaged sum = 0.5718064746832605145 logp*logq = 30.08274451994309067 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,659) = 0.6075011352778656829 D2(103,659) = 0.4047510869673663564 C1(103,659) = 0.7526919545581950963 C2(103,659) = 1.484821565764265841 C3(103,659) = 3.171839224031477152 C4(103,659) = 5272 Sum = 5717.492940357921885 Averaged sum = 0.5718064746832605145 logp*logq = 30.08274451994309067 -------------- ************************************* p = 103; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11772520542135.68182 -------------- Searches starting with [103,661]-exponents: u = 7, v = 177 n_start has 514 digits --- performed 5000 steps in the continued fraction search [103,661]-exponents: u = 141, v = 60 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,661) = 0.5659747000542561696 D2(103,661) = 0.1851356434131233705 C1(103,661) = 0.7234028175430871133 C2(103,661) = 1.443217407086596625 C3(103,661) = 3.032521489893114436 C4(103,661) = 5288 Sum = 5187.173967513642955 Averaged sum = 0.5187692736787321687 logp*logq = 30.09678916398811822 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(103,661) = 0.5659747000542561696 D2(103,661) = 0.1851356434131233705 C1(103,661) = 0.7234028175430871133 C2(103,661) = 1.443217407086596625 C3(103,661) = 3.032521489893114436 C4(103,661) = 5288 Sum = 5187.173967513642955 Averaged sum = 0.5187692736787321687 logp*logq = 30.09678916398811822 -------------- ************************************* p = 103; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12796270065725.44652 -------------- Searches starting with [103,673]-exponents: u = 7, v = 37 n_start has 119 digits starting right neighbors generation We generated 1105 left neighbors We generated 8905 right neighbors We generated 10009 non-negative rho_i D1(103,673) = 0.5761622908493891308 D2(103,673) = 0.01830799948193204147 C1(103,673) = 0.7637817515570423639 C2(103,673) = 1.777796985078378088 C3(103,673) = 3.226244225387385517 C4(103,673) = 5384 Sum = 4523.818015007691781 Averaged sum = 0.4519750239791879090 logp*logq = 30.18017484327336536 -------------- ************************************* p = 103; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13152592248889.98949 -------------- Searches starting with [103,677]-exponents: u = 7, v = 27 n_start has 91 digits starting right neighbors generation We generated 574 left neighbors We generated 9436 right neighbors We generated 10009 non-negative rho_i D1(103,677) = 1.108938033374676162 D2(103,677) = 0.05007299670833470997 C1(103,677) = 1.555692289294201789 C2(103,677) = 1.810516735057021306 C3(103,677) = 10.86748218178823572 C4(103,677) = 5416 Sum = 5561.085825971214395 Averaged sum = 0.5556085349156973119 logp*logq = 30.20763998431807056 -------------- ************************************* p = 103; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13701616262711.02906 -------------- Searches starting with [103,683]-exponents: u = 7, v = 22 n_start has 77 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(103,683) = 1.081892325926794720 D2(103,683) = 0.01383465462628039311 C1(103,683) = 1.473749727673927046 C2(103,683) = 1.884218597363268646 C3(103,683) = 9.584141034951564244 C4(103,683) = 5464 Sum = 5074.225674990212654 Averaged sum = 0.5069662978309733893 logp*logq = 30.24853491718444662 -------------- ************************************* p = 103; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14461429263129.22399 -------------- Searches starting with [103,691]-exponents: u = 7, v = 17 n_start has 63 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(103,691) = 0.8224453161038077478 D2(103,691) = 0.05215549213323436589 C1(103,691) = 1.111106487622089656 C2(103,691) = 1.924547285311631663 C3(103,691) = 5.495712052147554539 C4(103,691) = 5528 Sum = 4838.896582529587566 Averaged sum = 0.4834545491587159123 logp*logq = 30.30250617031462183 -------------- ************************************* p = 103; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15457234307387.46150 -------------- Searches starting with [103,701]-exponents: u = 7, v = 12 n_start has 49 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(103,701) = 1.288116703029204542 D2(103,701) = 0.1053606906925359219 C1(103,701) = 1.820065537263286141 C2(103,701) = 1.980229237843715863 C3(103,701) = 16.30076385336947850 C4(103,701) = 5608 Sum = 5388.699917246269904 Averaged sum = 0.5383854448242851338 logp*logq = 30.36909824964253425 -------------- ************************************* p = 103; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16291937726474.86372 -------------- Searches starting with [103,709]-exponents: u = 7, v = 12 n_start has 49 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(103,709) = 0.8501936657159784686 D2(103,709) = 0.1095188734333499304 C1(103,709) = 1.310441047417763007 C2(103,709) = 1.317345779078084738 C3(103,709) = 7.460804142683585122 C4(103,709) = 5672 Sum = 4128.394845423851138 Averaged sum = 0.4124682631055900827 logp*logq = 30.42169148336975046 -------------- ************************************* p = 103; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17384579875635.74157 -------------- Searches starting with [103,719]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(103,719) = 0.7964314818873598011 D2(103,719) = 0.1216161865843015385 C1(103,719) = 1.119198692262858525 C2(103,719) = 1.950797302514814092 C3(103,719) = 5.564338924823651680 C4(103,719) = 5752 Sum = 3812.200267968874816 Averaged sum = 0.3808772372833324824 logp*logq = 30.48660471518528497 -------------- ************************************* p = 103; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18299384598960.79759 -------------- Searches starting with [103,727]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(103,727) = 0.6438152998246181597 D2(103,727) = 0.08449962463157535462 C1(103,727) = 0.8507766400683003555 C2(103,727) = 1.792417151497638638 C3(103,727) = 3.686701314445104317 C4(103,727) = 5816 Sum = 4258.285319482465979 Averaged sum = 0.4254456308804541891 logp*logq = 30.53788854673838616 -------------- ************************************* p = 103; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19009926843572.32941 -------------- Searches starting with [103,733]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(103,733) = 0.8364934224479129336 D2(103,733) = 0.06149829074018429546 C1(103,733) = 1.089887000122053571 C2(103,733) = 1.689383007313844645 C3(103,733) = 5.319750628375047449 C4(103,733) = 5864 Sum = 4325.595738621902904 Averaged sum = 0.4321706203039167653 logp*logq = 30.57598242410861060 -------------- ************************************* p = 103; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19741926721530.29557 -------------- Searches starting with [103,739]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(103,739) = 0.6428565074489657609 D2(103,739) = 0.04088220902845360015 C1(103,739) = 0.8325023568701079154 C2(103,739) = 1.564244349082865558 C3(103,739) = 3.584815727776390636 C4(103,739) = 5912 Sum = 4011.884450925560654 Averaged sum = 0.4008277001624098964 logp*logq = 30.61376575011157589 -------------- ************************************* p = 103; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20242077347524.74287 -------------- Searches starting with [103,743]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(103,743) = 0.6766192312508060972 D2(103,743) = 0.004941662475843734205 C1(103,743) = 0.8755959098134784001 C2(103,743) = 2.068263970136931134 C3(103,743) = 3.829730306994789607 C4(103,743) = 5944 Sum = 4081.083751320195803 Averaged sum = 0.4077414078649411333 logp*logq = 30.63878459082839496 -------------- ************************************* p = 103; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21272169053287.07595 -------------- Searches starting with [103,751]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(103,751) = 1.556376141252159268 D2(103,751) = 0.007559235373811981167 C1(103,751) = 2.592960540102709876 C2(103,751) = 1.025923468792125975 C3(103,751) = 53.33040027626445376 C4(103,751) = 6008 Sum = 1913.141518570061138 Averaged sum = 0.1911421239454552041 logp*logq = 30.68842071705878023 -------------- ************************************* p = 103; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22071361937882.73032 -------------- Searches starting with [103,757]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(103,757) = 0.8564834597036742812 D2(103,757) = 0.01545447030056714876 C1(103,757) = 1.134329595771334641 C2(103,757) = 1.392167169130716322 C3(103,757) = 5.694965863075498028 C4(103,757) = 6056 Sum = 4240.507026220142490 Averaged sum = 0.4236694001618685673 logp*logq = 30.72530204421087343 -------------- ************************************* p = 103; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22617103996160.21900 -------------- Searches starting with [103,761]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(103,761) = 0.5933072593090686109 D2(103,761) = 0.02073501108970868765 C1(103,761) = 0.8053784396529094292 C2(103,761) = 1.525765508623597242 C3(103,761) = 3.438758264263072078 C4(103,761) = 6088 Sum = 4410.673354694932558 Averaged sum = 0.4406707318108634786 logp*logq = 30.74972754995688219 -------------- ************************************* p = 103; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23740314335841.12179 -------------- Searches starting with [103,769]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(103,769) = 0.7319180110517898934 D2(103,769) = 0.03153024481694500787 C1(103,769) = 0.9667839150315444499 C2(103,769) = 1.697810263043002098 C3(103,769) = 4.404550797180218511 C4(103,769) = 6152 Sum = 4534.657218219689372 Averaged sum = 0.4530579696492845811 logp*logq = 30.79819574579078274 -------------- ************************************* p = 103; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24318076686971.66422 -------------- Searches starting with [103,773]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(103,773) = 0.9074344081043524977 D2(103,773) = 0.03793269022463400927 C1(103,773) = 1.305437607625059567 C2(103,773) = 1.800777311331104888 C3(103,773) = 7.403775246092119266 C4(103,773) = 6184 Sum = 4197.048303775314779 Averaged sum = 0.4193274356854146048 logp*logq = 30.82224108630432697 -------------- ************************************* p = 103; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26427619253903.99005 -------------- Searches starting with [103,787]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(103,787) = 0.7032836165585897140 D2(103,787) = 0.05902947811425815750 C1(103,787) = 0.9212258058143483438 C2(103,787) = 1.979698376327732357 C3(103,787) = 4.107322584597177561 C4(103,787) = 6296 Sum = 4442.585965212925639 Averaged sum = 0.4438591233103132819 logp*logq = 30.90543076307186759 -------------- ************************************* p = 103; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28020313520369.41545 -------------- Searches starting with [103,797]-exponents: u = 10, v = 2 n_start has 26 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(103,797) = 0.6045755826859683305 D2(103,797) = 0.07203029451607677956 C1(103,797) = 0.7872616701782933721 C2(103,797) = 1.995023073465925020 C3(103,797) = 3.344532631805888718 C4(103,797) = 6376 Sum = 4327.556991682494625 Averaged sum = 0.4323665692559191352 logp*logq = 30.96395084593860163 -------------- ************************************* p = 103; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30029860130309.65696 -------------- Searches starting with [103,809]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(103,809) = 1.105494192294285368 D2(103,809) = 0.05031759596739203085 C1(103,809) = 1.766466801849880248 C2(103,809) = 1.151266649542110189 C3(103,809) = 15.01446608579011964 C4(103,809) = 6472 Sum = 3003.561938123758737 Averaged sum = 0.3000861163076989446 logp*logq = 31.03321334024759407 -------------- ************************************* p = 103; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30375489155404.33769 -------------- Searches starting with [103,811]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(103,811) = 0.8287579503025122437 D2(103,811) = 0.06014476583507251271 C1(103,811) = 1.324270553552421875 C2(103,811) = 1.337131860416007822 C3(103,811) = 7.620727403424950884 C4(103,811) = 6488 Sum = 4249.470869175951790 Averaged sum = 0.4245649784370018773 logp*logq = 31.04465712134121891 -------------- ************************************* p = 103; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32150720648779.09726 -------------- Searches starting with [103,821]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(103,821) = 0.6276219472028767433 D2(103,821) = 0.03347465291885699597 C1(103,821) = 0.8226806774498730989 C2(103,821) = 2.160559794064955197 C3(103,821) = 3.531224741490271094 C4(103,821) = 6568 Sum = 4375.922650968020043 Averaged sum = 0.4371987861892316958 logp*logq = 31.10145598156404203 -------------- ************************************* p = 103; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32515327191774.93096 -------------- Searches starting with [103,823]-exponents: u = 13, v = 2 n_start has 32 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(103,823) = 0.7701001934422929826 D2(103,823) = 0.02470499751310503185 C1(103,823) = 1.086074750992856089 C2(103,823) = 2.152358824028185656 C3(103,823) = 5.288740080876309459 C4(103,823) = 6584 Sum = 4141.469582145598356 Averaged sum = 0.4137745611095612305 logp*logq = 31.11273269999389556 -------------- ************************************* p = 103; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33254265392743.72887 -------------- Searches starting with [103,827]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(103,827) = 0.8421386572447382325 D2(103,827) = 0.007710117809517768589 C1(103,827) = 1.107886587410416253 C2(103,827) = 2.136497151133942681 C3(103,827) = 5.468641298292617721 C4(103,827) = 6616 Sum = 4424.638154749269762 Averaged sum = 0.4420659561144239946 logp*logq = 31.13520415729144974 -------------- ************************************* p = 103; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33628638638405.52929 -------------- Searches starting with [103,829]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(103,829) = 1.203733396406652794 D2(103,829) = 0.1012445978651538922 C1(103,829) = 1.751956654717169198 C2(103,829) = 1.789873166370143614 C3(103,829) = 14.68404754678446598 C4(103,829) = 6632 Sum = 4105.330552397590858 Averaged sum = 0.4101639077228085580 logp*logq = 31.14639916029061162 -------------- ************************************* p = 103; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35550385504714.54164 -------------- Searches starting with [103,839]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(103,839) = 0.5940346655458103652 D2(103,839) = 0.1233633058244495298 C1(103,839) = 0.8156416430412792474 C2(103,839) = 1.954665307240374652 C3(103,839) = 3.493310509449763422 C4(103,839) = 6712 Sum = 4231.916518417212065 Averaged sum = 0.4228111218320723414 logp*logq = 31.20197211613347594 -------------- ************************************* p = 103; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38384371840096.05322 -------------- Searches starting with [103,853]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(103,853) = 0.9641997838944822100 D2(103,853) = 0.1073299177941977576 C1(103,853) = 1.298830117445155604 C2(103,853) = 2.144164158028655360 C3(103,853) = 7.329130880962923070 C4(103,853) = 6824 Sum = 4321.579380068510248 Averaged sum = 0.4317693455958147915 logp*logq = 31.27867150935120450 -------------- ************************************* p = 103; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39225748301940.98645 -------------- Searches starting with [103,857]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(103,857) = 1.293296150577672281 D2(103,857) = 0.08294319118197951428 C1(103,857) = 1.797736624885985116 C2(103,857) = 2.120827980978522610 C3(103,857) = 15.75202370468201782 C4(103,857) = 6856 Sum = 4715.847644442389765 Averaged sum = 0.4711607197964221965 logp*logq = 31.30035449153434523 -------------- ************************************* p = 103; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39651823802847.77417 -------------- Searches starting with [103,859]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(103,859) = 0.9360166984675023754 D2(103,859) = 0.07134063840787194770 C1(103,859) = 1.258275890447269434 C2(103,859) = 2.109748855204840435 C3(103,859) = 6.887194925072160808 C4(103,859) = 6872 Sum = 4757.528078827725557 Averaged sum = 0.4753250153689405092 logp*logq = 31.31115806050130505 -------------- ************************************* p = 103; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40514860198235.15830 -------------- Searches starting with [103,863]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(103,863) = 0.8949477319006390675 D2(103,863) = 0.04916839585976577751 C1(103,863) = 1.155484846676972038 C2(103,863) = 2.088619799782745202 C3(103,863) = 5.882758733681208138 C4(103,863) = 6904 Sum = 4155.992615382096627 Averaged sum = 0.4152255585355276878 logp*logq = 31.33268994121786166 -------------- ************************************* p = 103; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43652138827059.98885 -------------- Searches starting with [103,877]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(103,877) = 0.8207941756213668884 D2(103,877) = 0.1258645663481423201 C1(103,877) = 1.059978438651511374 C2(103,877) = 1.413351132107960021 C3(103,877) = 5.081260314285927236 C4(103,877) = 7016 Sum = 4241.937713081268003 Averaged sum = 0.4238123402019450498 logp*logq = 31.40727339648818003 -------------- ************************************* p = 103; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44582581519575.49396 -------------- Searches starting with [103,881]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(103,881) = 0.5723765974409777972 D2(103,881) = 0.1342239941365079580 C1(103,881) = 0.7732678840968832662 C2(103,881) = 2.102306274928468956 C3(103,881) = 3.273521784694086453 C4(103,881) = 7048 Sum = 4447.382743968678006 Averaged sum = 0.4443383698639902094 logp*logq = 31.42836434978204520 -------------- ************************************* p = 103; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45053597108813.77298 -------------- Searches starting with [103,883]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(103,883) = 0.6054255494181647110 D2(103,883) = 0.1188888695997150121 C1(103,883) = 0.8321937472548174120 C2(103,883) = 2.087463829560928614 C3(103,883) = 3.583119518964478268 C4(103,883) = 7064 Sum = 4279.756599105949285 Averaged sum = 0.4275908281652462069 logp*logq = 31.43887394382778270 -------------- ************************************* p = 103; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46007332740660.10672 -------------- Searches starting with [103,887]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(103,887) = 0.8460257534569264604 D2(103,887) = 0.09016795638141878227 C1(103,887) = 1.094305526096247715 C2(103,887) = 2.059724920147108848 C3(103,887) = 5.355920480480306355 C4(103,887) = 7096 Sum = 4136.848049124814152 Averaged sum = 0.4133128233714471128 logp*logq = 31.45982190711928727 -------------- ************************************* p = 103; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51016214399287.15837 -------------- Searches starting with [103,907]-exponents: u = 22, v = 2 n_start has 51 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(103,907) = 0.9726309241692860560 D2(103,907) = 0.1088112840331195520 C1(103,907) = 1.321409329022767437 C2(103,907) = 2.022306539224278121 C3(103,907) = 7.587361592473983919 C4(103,907) = 7256 Sum = 5127.431429130315531 Averaged sum = 0.5122820890329019414 logp*logq = 31.56316462752181986 -------------- ************************************* p = 103; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52067366593109.55820 -------------- Searches starting with [103,911]-exponents: u = 22, v = 2 n_start has 51 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(103,911) = 0.8396721301130078125 D2(103,911) = 0.07751784823182739263 C1(103,911) = 1.062668230541780408 C2(103,911) = 1.991942893438899833 C3(103,911) = 5.102263828160333369 C4(103,911) = 7288 Sum = 3803.554746972740780 Averaged sum = 0.3800134625809512219 logp*logq = 31.58355950746509741 -------------- ************************************* p = 103; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54220597847537.23552 -------------- Searches starting with [103,919]-exponents: u = 25, v = 2 n_start has 57 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(103,919) = 1.100710976522866744 D2(103,919) = 0.02221744979867631039 C1(103,919) = 1.525876157568102986 C2(103,919) = 1.938489841856217934 C3(103,919) = 10.38175240657070165 C4(103,919) = 7352 Sum = 4886.415760581613673 Averaged sum = 0.4882021940834862297 logp*logq = 31.62408198626688819 -------------- ************************************* p = 103; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57009662132486.71091 -------------- Searches starting with [103,929]-exponents: u = 28, v = 2 n_start has 63 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(103,929) = 0.7842892655617595255 D2(103,929) = 0.06622209198365297998 C1(103,929) = 1.053612890816790863 C2(103,929) = 1.934398459649821584 C3(103,929) = 5.031898064832912160 C4(103,929) = 7432 Sum = 4359.680163780607324 Averaged sum = 0.4355759979798788414 logp*logq = 31.67424188049397394 -------------- ************************************* p = 103; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59320885788658.98464 -------------- Searches starting with [103,937]-exponents: u = 31, v = 2 n_start has 69 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(103,937) = 0.8757114828692701585 D2(103,937) = 0.007160087846260825717 C1(103,937) = 1.105647152586808923 C2(103,937) = 1.877105118313290328 C3(103,937) = 5.449892298174084319 C4(103,937) = 7496 Sum = 3201.194942109674540 Averaged sum = 0.3198316457298106244 logp*logq = 31.71398256546472569 -------------- ************************************* p = 103; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60503712928206.29326 -------------- Searches starting with [103,941]-exponents: u = 31, v = 2 n_start has 69 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(103,941) = 0.8427024523172082913 D2(103,941) = 0.07345681641300989272 C1(103,941) = 1.152292729275487143 C2(103,941) = 1.901627969820428789 C3(103,941) = 5.854030884972152197 C4(103,941) = 7528 Sum = 4618.444923346530974 Averaged sum = 0.4614292060492088095 logp*logq = 31.73372584979639236 -------------- ************************************* p = 103; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62312550382592.06031 -------------- Searches starting with [103,947]-exponents: u = 34, v = 2 n_start has 75 digits starting right neighbors generation We generated 250 left neighbors We generated 9760 right neighbors We generated 10009 non-negative rho_i D1(103,947) = 0.6266793263508954009 D2(103,947) = 0.02330888985536916099 C1(103,947) = 0.8214451056618085168 C2(103,947) = 1.852763733386214638 C3(103,947) = 3.524539951946457860 C4(103,947) = 7576 Sum = 4189.049851546209233 Averaged sum = 0.4185283096759126019 logp*logq = 31.76318397219739273 -------------- ************************************* p = 103; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64163526495490.41491 -------------- Searches starting with [103,953]-exponents: u = 37, v = 2 n_start has 81 digits starting right neighbors generation We generated 273 left neighbors We generated 9737 right neighbors We generated 10009 non-negative rho_i D1(103,953) = 1.014414335076842884 D2(103,953) = 0.05742658528502531963 C1(103,953) = 1.445241971551759722 C2(103,953) = 1.851361784082148746 C3(103,953) = 9.174160554961210352 C4(103,953) = 7624 Sum = 2787.976671461520304 Averaged sum = 0.2785469748687701373 logp*logq = 31.79245604205817062 -------------- ************************************* p = 103; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68650328805413.43640 -------------- Searches starting with [103,967]-exponents: u = 43, v = 2 n_start has 93 digits starting right neighbors generation We generated 388 left neighbors We generated 9622 right neighbors We generated 10009 non-negative rho_i D1(103,967) = 0.6126047987614845427 D2(103,967) = 0.004590106780193326572 C1(103,967) = 0.8050101204351391521 C2(103,967) = 1.769184548811950623 C3(103,967) = 3.436816443368025973 C4(103,967) = 7736 Sum = 4414.951256657395264 Averaged sum = 0.4410981373421316080 logp*logq = 31.86004703772193128 -------------- ************************************* p = 103; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69976394039525.40055 -------------- Searches starting with [103,971]-exponents: u = 46, v = 2 n_start has 99 digits starting right neighbors generation We generated 417 left neighbors We generated 9593 right neighbors We generated 10009 non-negative rho_i D1(103,971) = 0.7471305871829314136 D2(103,971) = 0.02918193753383863415 C1(103,971) = 0.9573259173240775188 C2(103,971) = 1.766026957345843090 C3(103,971) = 4.341125750086006022 C4(103,971) = 7768 Sum = 3958.800942110516628 Averaged sum = 0.3955241225008009419 logp*logq = 31.87917907309697620 -------------- ************************************* p = 103; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72003068731176.17964 -------------- Searches starting with [103,977]-exponents: u = 49, v = 2 n_start has 105 digits starting right neighbors generation We generated 446 left neighbors We generated 9564 right neighbors We generated 10009 non-negative rho_i D1(103,977) = 0.6806141953604487577 D2(103,977) = 0.02608946749972172718 C1(103,977) = 0.8881066891385808663 C2(103,977) = 1.738553860355196458 C3(103,977) = 3.903917894861132688 C4(103,977) = 7816 Sum = 4506.322689336724555 Averaged sum = 0.4502270645755544564 logp*logq = 31.90772985530267898 -------------- ************************************* p = 103; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74075490846087.71609 -------------- Searches starting with [103,983]-exponents: u = 55, v = 2 n_start has 117 digits starting right neighbors generation We generated 591 left neighbors We generated 9419 right neighbors We generated 10009 non-negative rho_i D1(103,983) = 0.8160632444238203644 D2(103,983) = 0.01376826720980609225 C1(103,983) = 1.060307040861378725 C2(103,983) = 1.704306105719665801 C3(103,983) = 5.083821594825019822 C4(103,983) = 7864 Sum = 4375.541582713034310 Averaged sum = 0.4371607136290372974 logp*logq = 31.93610583570557798 -------------- ************************************* p = 103; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76911169870202.25214 -------------- Searches starting with [103,991]-exponents: u = 64, v = 2 n_start has 135 digits starting right neighbors generation We generated 795 left neighbors We generated 9215 right neighbors We generated 10009 non-negative rho_i D1(103,991) = 0.6679875862392539610 D2(103,991) = 0.01141086334510031050 C1(103,991) = 0.9143063365776028893 C2(103,991) = 1.663228948895782347 C3(103,991) = 4.063967987108613701 C4(103,991) = 7928 Sum = 3508.281428829710243 Averaged sum = 0.3505126814696483408 logp*logq = 31.97367223378030813 -------------- ************************************* p = 103; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79093241932574.04361 -------------- Searches starting with [103,997]-exponents: u = 70, v = 2 n_start has 147 digits starting right neighbors generation We generated 877 left neighbors We generated 9133 right neighbors We generated 10009 non-negative rho_i D1(103,997) = 1.033528850385348599 D2(103,997) = 0.01201239814581001274 C1(103,997) = 1.402953033983088059 C2(103,997) = 1.630850926073205312 C3(103,997) = 8.598067978610367553 C4(103,997) = 7976 Sum = 5758.922181492353311 Averaged sum = 0.5753743812061497962 logp*logq = 32.00164855004302953 -------------- ************************************* p = 107; q = 109; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3315471413.215642855 -------------- Searches starting with [107,109]-exponents: u = 1, v = 252 n_start has 516 digits --- performed 5000 steps in the continued fraction search [107,109]-exponents: u = 150, v = 83 --- starting right neighbors generation We generated 9164 left neighbors We generated 846 right neighbors We generated 10009 non-negative rho_i D1(107,109) = 0.7219907087489238168 D2(107,109) = 0.0005538899340537524483 C1(107,109) = 0.9231586853150931126 C2(107,109) = 0.9795068965494789609 C3(107,109) = 4.150768147858386055 C4(107,109) = 872 Sum = 5670.112994681582635 Averaged sum = 0.5665014481648099345 logp*logq = 21.92186565657214143 -------------- ************************************* p = 107; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3923594798.520532224 -------------- Searches starting with [107,113]-exponents: u = 1, v = 85 n_start has 177 digits starting right neighbors generation We generated 1126 left neighbors We generated 8884 right neighbors We generated 10009 non-negative rho_i D1(107,113) = 0.6559825407975660875 D2(107,113) = 0.001070904110646413419 C1(107,113) = 0.8824472721204934628 C2(107,113) = 1.165859537512763223 C3(107,113) = 3.898243222586752220 C4(107,113) = 904 Sum = 5191.390357151993263 Averaged sum = 0.5186722307075625200 logp*logq = 22.09027411096299938 -------------- ************************************* p = 107; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6771964758.024127235 -------------- Searches starting with [107,127]-exponents: u = 1, v = 27 n_start has 59 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(107,127) = 0.6884403836615486231 D2(107,127) = 0.06018875071966788794 C1(107,127) = 0.9129657913591766226 C2(107,127) = 1.516006947868788448 C3(107,127) = 4.086048514039511004 C4(107,127) = 1016 Sum = 4798.855579426422598 Averaged sum = 0.4794540492982738133 logp*logq = 22.63605709713171617 -------------- ************************************* p = 107; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7827919677.817614909 -------------- Searches starting with [107,131]-exponents: u = 1, v = 23 n_start has 51 digits starting right neighbors generation We generated 114 left neighbors We generated 9896 right neighbors We generated 10009 non-negative rho_i D1(107,131) = 1.073321419939661026 D2(107,131) = 0.03063231573065718718 C1(107,131) = 1.369896533474778431 C2(107,131) = 1.549147941964940630 C3(107,131) = 8.265233876890815218 C4(107,131) = 1048 Sum = 3870.561565012420541 Averaged sum = 0.3867081191939674834 logp*logq = 22.78096262554584186 -------------- ************************************* p = 107; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9650048085.248985591 -------------- Searches starting with [107,137]-exponents: u = 1, v = 18 n_start has 41 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(107,137) = 0.8282240491644870952 D2(107,137) = 0.1146551972133000325 C1(107,137) = 1.254472602700875447 C2(107,137) = 1.695903137730581262 C3(107,137) = 6.917825552295716059 C4(107,137) = 1096 Sum = 4533.228351756094215 Averaged sum = 0.4529152114852726761 logp*logq = 22.99022873521224699 -------------- ************************************* p = 107; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10326219473.51010056 -------------- Searches starting with [107,139]-exponents: u = 1, v = 17 n_start has 39 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(107,139) = 0.8528326320813945318 D2(107,139) = 0.1069866869552759955 C1(107,139) = 1.122118388539425462 C2(107,139) = 1.712429742484679738 C3(107,139) = 5.640893342862848159 C4(107,139) = 1112 Sum = 4762.320027429770406 Averaged sum = 0.4758037793415696279 logp*logq = 23.05795207763374830 -------------- ************************************* p = 107; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14286553033.79135770 -------------- Searches starting with [107,149]-exponents: u = 1, v = 14 n_start has 33 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(107,149) = 0.8740807941694742773 D2(107,149) = 0.1452332477663012947 C1(107,149) = 1.148398533916672009 C2(107,149) = 1.245306266885825675 C3(107,149) = 5.874143403979143567 C4(107,149) = 1192 Sum = 4880.046121062540122 Averaged sum = 0.4875658028836587193 logp*logq = 23.38258458452108079 -------------- ************************************* p = 107; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15204995954.82229617 -------------- Searches starting with [107,151]-exponents: u = 1, v = 13 n_start has 31 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(107,151) = 0.7026317617504565731 D2(107,151) = 0.08186447471045148120 C1(107,151) = 0.9368586091345638576 C2(107,151) = 1.813703700603566967 C3(107,151) = 4.239373381851996693 C4(107,151) = 1208 Sum = 4646.495463561081604 Averaged sum = 0.4642317377920952746 logp*logq = 23.44488989203310565 -------------- ************************************* p = 107; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18241611972.23793670 -------------- Searches starting with [107,157]-exponents: u = 1, v = 12 n_start has 29 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(107,157) = 0.6465199773325451478 D2(107,157) = 0.1292941062659194764 C1(107,157) = 0.8844349602794388711 C2(107,157) = 1.341958734898903018 C3(107,157) = 3.910207897151231035 C4(107,157) = 1256 Sum = 4440.616173106380102 Averaged sum = 0.4436623212215386254 logp*logq = 23.62697119335863646 -------------- ************************************* p = 107; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21735719711.85966706 -------------- Searches starting with [107,163]-exponents: u = 1, v = 11 n_start has 27 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(107,163) = 0.8063390687880745531 D2(107,163) = 0.1024480391597344977 C1(107,163) = 1.065563863173865605 C2(107,163) = 1.237437027813022034 C3(107,163) = 5.169875877264459554 C4(107,163) = 1304 Sum = 4924.501914262931139 Averaged sum = 0.4920073847799911218 logp*logq = 23.80222281387596376 -------------- ************************************* p = 107; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24342972990.11613751 -------------- Searches starting with [107,167]-exponents: u = 1, v = 10 n_start has 25 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(107,167) = 1.255924118805241473 D2(107,167) = 0.01418922184535896455 C1(107,167) = 1.873478882600404168 C2(107,167) = 1.893421489404415543 C3(107,167) = 17.96568383233872745 C4(107,167) = 1336 Sum = 4300.573996324318202 Averaged sum = 0.4296706960060263964 logp*logq = 23.91550906125863343 -------------- ************************************* p = 107; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28708226468.11845215 -------------- Searches starting with [107,173]-exponents: u = 1, v = 9 n_start has 23 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(107,173) = 0.7565276571422272610 D2(107,173) = 0.1079279451027137642 C1(107,173) = 1.001018265632049597 C2(107,173) = 1.723523725350789872 C3(107,173) = 4.680170591161291250 C4(107,173) = 1384 Sum = 4775.001381029412851 Averaged sum = 0.4770707744059759068 logp*logq = 24.08044955515939441 -------------- ************************************* p = 107; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33666394098.78488677 -------------- Searches starting with [107,179]-exponents: u = 1, v = 9 n_start has 23 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(107,179) = 0.8204840658569949642 D2(107,179) = 0.06189410312489008730 C1(107,179) = 1.370077372333946190 C2(107,179) = 1.197219926838575396 C3(107,179) = 8.267538635943888420 C4(107,179) = 1432 Sum = 4476.366464161573392 Averaged sum = 0.4472341356940327097 logp*logq = 24.23976596901109109 -------------- ************************************* p = 107; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35460556228.89751078 -------------- Searches starting with [107,181]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(107,181) = 1.030069120710725005 D2(107,181) = 0.08453236707624240454 C1(107,181) = 1.383879435295340748 C2(107,181) = 1.752867146705771785 C3(107,181) = 8.445353189031984258 C4(107,181) = 1448 Sum = 4614.901136384648717 Averaged sum = 0.4610751460070585190 logp*logq = 24.29168682356356794 -------------- ************************************* p = 107; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45590934143.31852328 -------------- Searches starting with [107,191]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(107,191) = 0.8749938306505703669 D2(107,191) = 0.03721151960646143972 C1(107,191) = 1.489213768610016406 C2(107,191) = 1.164528409642997782 C3(107,191) = 9.934535505324098399 C4(107,191) = 1528 Sum = 4760.131589965262614 Averaged sum = 0.4755851323773866134 logp*logq = 24.54297472105437389 -------------- ************************************* p = 107; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47865003647.78209613 -------------- Searches starting with [107,193]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(107,193) = 0.8169714764977272899 D2(107,193) = 0.05160767290301899647 C1(107,193) = 1.390230005822825624 C2(107,193) = 1.785897608199381583 C3(107,193) = 8.528448493129604702 C4(107,193) = 1544 Sum = 4917.398801762047630 Averaged sum = 0.4912977122351930892 logp*logq = 24.59165046155452517 -------------- ************************************* p = 107; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52680263830.63692488 -------------- Searches starting with [107,197]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(107,197) = 0.8115146935090001413 D2(107,197) = 0.04085176676414591283 C1(107,197) = 1.195531753829360707 C2(107,197) = 1.779254959634767212 C3(107,197) = 6.316899974087230840 C4(107,197) = 1576 Sum = 4012.983215178185139 Averaged sum = 0.4009374777878094853 logp*logq = 24.68750672198353154 -------------- ************************************* p = 107; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55226426387.19051504 -------------- Searches starting with [107,199]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(107,199) = 0.7400431790563945109 D2(107,199) = 0.03565491771295247324 C1(107,199) = 1.142825324475694398 C2(107,199) = 1.776082731564278474 C3(107,199) = 5.823885604432855187 C4(107,199) = 1592 Sum = 4628.230998200172019 Averaged sum = 0.4624069335797953860 logp*logq = 24.73470741456893435 -------------- ************************************* p = 107; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72606261677.29182159 -------------- Searches starting with [107,211]-exponents: u = 8, v = 6 n_start has 31 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(107,211) = 0.7427139791731452715 D2(107,211) = 0.006960772623978285807 C1(107,211) = 0.9765089159932546413 C2(107,211) = 1.825925010230012403 C3(107,211) = 4.506617679175271615 C4(107,211) = 1688 Sum = 4502.644796838723165 Averaged sum = 0.4498596060384377225 logp*logq = 25.00831700405644048 -------------- ************************************* p = 107; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94021391884.72491325 -------------- Searches starting with [107,223]-exponents: u = 15, v = 6 n_start has 45 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(107,223) = 0.9847361434525638785 D2(107,223) = 0.1142821042857635804 C1(107,223) = 1.330224578243993356 C2(107,223) = 1.768151057026605298 C3(107,223) = 7.774842577423927830 C4(107,223) = 1784 Sum = 4838.154077339790668 Averaged sum = 0.4833803654051144638 logp*logq = 25.26678816656730724 -------------- ************************************* p = 107; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102165804746.0365619 -------------- Searches starting with [107,227]-exponents: u = 29, v = 6 n_start has 73 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(107,227) = 0.6815597388866476922 D2(107,227) = 0.04718630395137062307 C1(107,227) = 0.9092471194937102145 C2(107,227) = 1.704630789912694070 C3(107,227) = 4.062688931504808105 C4(107,227) = 1816 Sum = 4632.786498878600859 Averaged sum = 0.4628620740212409690 logp*logq = 25.34986286720172038 -------------- ************************************* p = 107; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106440593255.9003684 -------------- Searches starting with [107,229]-exponents: u = 50, v = 6 n_start has 116 digits starting right neighbors generation We generated 1365 left neighbors We generated 8645 right neighbors We generated 10009 non-negative rho_i D1(107,229) = 0.8711693847788013238 D2(107,229) = 0.01790818417981086628 C1(107,229) = 1.214505338116699190 C2(107,229) = 1.677116443800583736 C3(107,229) = 6.504416310864094924 C4(107,229) = 1832 Sum = 3883.388402920645693 Averaged sum = 0.3879896496074178932 logp*logq = 25.39085285665837125 -------------- ************************************* p = 107; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115411479704.6070356 -------------- Searches starting with [107,233]-exponents: u = 1520, v = 6 n_start has 3099 digits --- performed 5000 steps in the continued fraction search [107,233]-exponents: u = 37, v = 1274 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,233) = 0.6449207777893631421 D2(107,233) = 0.5614005790972966143 C1(107,233) = 0.7806364283651564025 C2(107,233) = 1.410249248063326817 C3(107,233) = 3.331949731478414912 C4(107,233) = 1864 Sum = 6348.798055977810906 Averaged sum = 0.6349432999277738679 logp*logq = 25.47176966358244403 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,233) = 0.6449207777893631421 D2(107,233) = 0.5614005790972966143 C1(107,233) = 0.7806364283651564025 C2(107,233) = 1.410249248063326817 C3(107,233) = 3.331949731478414912 C4(107,233) = 1864 Sum = 6348.798055977810906 Averaged sum = 0.6349432999277738679 logp*logq = 25.47176966358244403 -------------- ************************************* p = 107; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129970949409.0155222 -------------- Searches starting with [107,239]-exponents: u = 7, v = 29 n_start has 84 digits starting right neighbors generation We generated 485 left neighbors We generated 9525 right neighbors We generated 10009 non-negative rho_i D1(107,239) = 0.5874168129572652444 D2(107,239) = 0.01510643822064004288 C1(107,239) = 0.7971819458470454961 C2(107,239) = 1.468691805330680070 C3(107,239) = 3.418038782960933139 C4(107,239) = 1912 Sum = 4639.647524357610480 Averaged sum = 0.4635475596320921650 logp*logq = 25.59057679634523176 -------------- ************************************* p = 107; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 135131911695.8714097 -------------- Searches starting with [107,241]-exponents: u = 7, v = 23 n_start has 69 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(107,241) = 0.8525254047287082318 D2(107,241) = 0.03346639700720062338 C1(107,241) = 1.251344978537074996 C2(107,241) = 1.546535634756537105 C3(107,241) = 6.884547678600421411 C4(107,241) = 1928 Sum = 3322.385954406991317 Averaged sum = 0.3319398495760806591 logp*logq = 25.62951726198337449 -------------- ************************************* p = 107; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 163404705671.5735160 -------------- Searches starting with [107,251]-exponents: u = 13, v = 5 n_start has 39 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(107,251) = 0.8250709380125120799 D2(107,251) = 0.1016540963349735959 C1(107,251) = 1.321012578895846465 C2(107,251) = 1.237732549606488500 C3(107,251) = 7.665199012447144777 C4(107,251) = 2008 Sum = 4487.451779860810923 Averaged sum = 0.4483416704826467102 logp*logq = 25.81949581743728749 -------------- ************************************* p = 107; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 182475678778.5665424 -------------- Searches starting with [107,257]-exponents: u = 19, v = 5 n_start has 51 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(107,257) = 1.453811814658605075 D2(107,257) = 0.05279714243856452929 C1(107,257) = 2.215055520781851499 C2(107,257) = 1.802389899005579815 C3(107,257) = 30.41981682363400381 C4(107,257) = 2056 Sum = 3504.571335630123781 Averaged sum = 0.3501420057578303308 logp*logq = 25.92988273412136744 -------------- ************************************* p = 107; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 203253952488.5606446 -------------- Searches starting with [107,263]-exponents: u = 31, v = 5 n_start has 76 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(107,263) = 0.8021070408023652771 D2(107,263) = 0.06804108574791758553 C1(107,263) = 1.162230767215694420 C2(107,263) = 1.707480919784981504 C3(107,263) = 6.000760996511758725 C4(107,263) = 2104 Sum = 3500.630236316369219 Averaged sum = 0.3497482502064511159 logp*logq = 26.03772203162343435 -------------- ************************************* p = 107; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 225848138111.2511196 -------------- Searches starting with [107,269]-exponents: u = 85, v = 5 n_start has 185 digits starting right neighbors generation We generated 3166 left neighbors We generated 6844 right neighbors We generated 10009 non-negative rho_i D1(107,269) = 0.5804883530119217119 D2(107,269) = 0.009918449909145864657 C1(107,269) = 0.7788962420800702930 C2(107,269) = 1.517293704335473793 C3(107,269) = 3.323022232790502917 C4(107,269) = 2152 Sum = 4804.319771983422142 Averaged sum = 0.4799999772188452535 logp*logq = 26.14312865509562494 -------------- ************************************* p = 107; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 233802448905.1055357 -------------- Searches starting with [107,271]-exponents: u = 211, v = 5 n_start has 441 digits --- performed 5000 steps in the continued fraction search [107,271]-exponents: u = 39, v = 123 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,271) = 0.7410120253559261575 D2(107,271) = 0.1617562096406742832 C1(107,271) = 0.9544829556172413832 C2(107,271) = 1.328480497620307651 C3(107,271) = 4.356147496937535261 C4(107,271) = 2168 Sum = 5284.321067001123841 Averaged sum = 0.5284849551956319472 logp*logq = 26.17774236028840088 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,271) = 0.7410120253559261575 D2(107,271) = 0.1617562096406742832 C1(107,271) = 0.9544829556172413832 C2(107,271) = 1.328480497620307651 C3(107,271) = 4.356147496937535261 C4(107,271) = 2168 Sum = 5284.321067001123841 Averaged sum = 0.5284849551956319472 logp*logq = 26.17774236028840088 -------------- ************************************* p = 107; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 258994112941.1674662 -------------- Searches starting with [107,277]-exponents: u = 6, v = 54 n_start has 145 digits starting right neighbors generation We generated 1837 left neighbors We generated 8173 right neighbors We generated 10009 non-negative rho_i D1(107,277) = 0.7247397523656937862 D2(107,277) = 0.03078789558567081399 C1(107,277) = 0.9521886868727648231 C2(107,277) = 1.562722076211955235 C3(107,277) = 4.340766054210533328 C4(107,277) = 2216 Sum = 4472.470999398123136 Averaged sum = 0.4468449394942674728 logp*logq = 26.28007116843073715 -------------- ************************************* p = 107; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 276939879423.8603486 -------------- Searches starting with [107,281]-exponents: u = 6, v = 29 n_start has 84 digits starting right neighbors generation We generated 630 left neighbors We generated 9380 right neighbors We generated 10009 non-negative rho_i D1(107,281) = 0.7411508794696750733 D2(107,281) = 0.01660019380745064798 C1(107,281) = 0.9704386827573961037 C2(107,281) = 1.704942129413999142 C3(107,281) = 4.464637575603391501 C4(107,281) = 2248 Sum = 4377.818518887870963 Averaged sum = 0.4373882025065312182 logp*logq = 26.34706627778565361 -------------- ************************************* p = 107; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 286271657038.9178515 -------------- Searches starting with [107,283]-exponents: u = 6, v = 24 n_start has 72 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(107,283) = 0.7818190033770904330 D2(107,283) = 0.04669008509993479233 C1(107,283) = 1.139802754087449145 C2(107,283) = 1.736231146277046166 C3(107,283) = 5.796808899933156216 C4(107,283) = 2264 Sum = 3863.136575192332736 Averaged sum = 0.3859662878601591304 logp*logq = 26.38020704673083419 -------------- ************************************* p = 107; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 336705450887.9060994 -------------- Searches starting with [107,293]-exponents: u = 6, v = 9 n_start has 35 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(107,293) = 0.7856269546072460111 D2(107,293) = 0.02410286097835340435 C1(107,293) = 1.013597008703542040 C2(107,293) = 1.857970326129989833 C3(107,293) = 4.771821136125300005 C4(107,293) = 2344 Sum = 4044.827219616544228 Averaged sum = 0.4041190148482909609 logp*logq = 26.54247435213566730 -------------- ************************************* p = 107; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 418766484591.1478690 -------------- Searches starting with [107,307]-exponents: u = 11, v = 4 n_start has 33 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(107,307) = 1.199391552150798474 D2(107,307) = 0.04857310602543208906 C1(107,307) = 1.562420670513630486 C2(107,307) = 1.926232510624039599 C3(107,307) = 11.12155296166267847 C4(107,307) = 2456 Sum = 4494.349885472572562 Averaged sum = 0.4490308607725619504 logp*logq = 26.76057928549867512 -------------- ************************************* p = 107; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 444879734871.8326418 -------------- Searches starting with [107,311]-exponents: u = 11, v = 4 n_start has 33 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(107,311) = 0.7397320463291541881 D2(107,311) = 0.01522660804657559874 C1(107,311) = 0.9655790923588776053 C2(107,311) = 1.895724956550379167 C3(107,311) = 4.431311971658776046 C4(107,311) = 2488 Sum = 4502.260802525141597 Averaged sum = 0.4498212411354922167 logp*logq = 26.82106982387120082 -------------- ************************************* p = 107; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 458407313869.8100959 -------------- Searches starting with [107,313]-exponents: u = 11, v = 4 n_start has 33 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(107,313) = 0.7892099885025459953 D2(107,313) = 0.1628531233405119841 C1(107,313) = 1.058954893784190929 C2(107,313) = 1.810062053057545278 C3(107,313) = 5.117465027829416767 C4(107,313) = 2504 Sum = 4912.190071352076579 Averaged sum = 0.4907773075584050933 logp*logq = 26.85102395743303071 -------------- ************************************* p = 107; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 486431663826.7454770 -------------- Searches starting with [107,317]-exponents: u = 16, v = 4 n_start has 43 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(107,317) = 0.6518023102073412692 D2(107,317) = 0.1396253580769995665 C1(107,317) = 0.9049206008244938990 C2(107,317) = 1.893113978598294600 C3(107,317) = 4.035679057228234424 C4(107,317) = 2536 Sum = 4147.812189219298873 Averaged sum = 0.4144082514955838619 logp*logq = 26.91036226380757711 -------------- ************************************* p = 107; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 595284955957.4752187 -------------- Searches starting with [107,331]-exponents: u = 36, v = 4 n_start has 84 digits starting right neighbors generation We generated 553 left neighbors We generated 9457 right neighbors We generated 10009 non-negative rho_i D1(107,331) = 0.9028702930413404809 D2(107,331) = 0.01332174001779257129 C1(107,331) = 1.181053431344197083 C2(107,331) = 1.687295143087696505 C3(107,331) = 6.177455231423356699 C4(107,331) = 2648 Sum = 4532.101139692089992 Averaged sum = 0.4528025916367359368 logp*logq = 27.11230604542320944 -------------- ************************************* p = 107; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 647413697491.9551046 -------------- Searches starting with [107,337]-exponents: u = 66, v = 4 n_start has 145 digits starting right neighbors generation We generated 1597 left neighbors We generated 8413 right neighbors We generated 10009 non-negative rho_i D1(107,337) = 0.6257285085793600975 D2(107,337) = 0.01924313333750830996 C1(107,337) = 0.8520518385448062493 C2(107,337) = 1.538806711447697111 C3(107,337) = 3.719775776625784626 C4(107,337) = 2696 Sum = 4724.996520839669943 Averaged sum = 0.4720747847776670939 logp*logq = 27.19625133591006188 -------------- ************************************* p = 107; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 742206611766.2358539 -------------- Searches starting with [107,347]-exponents: u = 5, v = 139 n_start has 364 digits --- performed 5000 steps in the continued fraction search [107,347]-exponents: u = 47, v = 73 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,347) = 0.6152370805894668854 D2(107,347) = 0.01608998798941171868 C1(107,347) = 0.7990991158346418576 C2(107,347) = 1.336833093370423058 C3(107,347) = 3.428156853309068051 C4(107,347) = 2776 Sum = 5136.386236841508401 Averaged sum = 0.5136899926834191820 logp*logq = 27.33289349386822785 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,347) = 0.6152370805894668854 D2(107,347) = 0.01608998798941171868 C1(107,347) = 0.7990991158346418576 C2(107,347) = 1.336833093370423058 C3(107,347) = 3.428156853309068051 C4(107,347) = 2776 Sum = 5136.386236841508401 Averaged sum = 0.5136899926834191820 logp*logq = 27.33289349386822785 -------------- ************************************* p = 107; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 762408932810.5832221 -------------- Searches starting with [107,349]-exponents: u = 5, v = 83 n_start has 222 digits starting right neighbors generation We generated 3927 left neighbors We generated 6083 right neighbors We generated 10009 non-negative rho_i D1(107,349) = 0.9268921793884597160 D2(107,349) = 0.005953468170446999234 C1(107,349) = 1.234586268396138836 C2(107,349) = 1.452389746157272517 C3(107,349) = 6.708943229909948516 C4(107,349) = 2792 Sum = 4619.295416582385017 Averaged sum = 0.4615141788972309937 logp*logq = 27.35974890591580030 -------------- ************************************* p = 107; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 804109340791.1249851 -------------- Searches starting with [107,353]-exponents: u = 5, v = 43 n_start has 120 digits starting right neighbors generation We generated 1131 left neighbors We generated 8879 right neighbors We generated 10009 non-negative rho_i D1(107,353) = 0.6397122913523494194 D2(107,353) = 0.003275599827086871220 C1(107,353) = 0.8815949964370403272 C2(107,353) = 1.593874391014740248 C3(107,353) = 3.893124261743437645 C4(107,353) = 2824 Sum = 4599.825812165323040 Averaged sum = 0.4595689691443024318 logp*logq = 27.41300109288762056 -------------- ************************************* p = 107; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 869999522168.5361774 -------------- Searches starting with [107,359]-exponents: u = 5, v = 27 n_start has 80 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(107,359) = 0.7139470272607602025 D2(107,359) = 0.07227274361671664865 C1(107,359) = 1.026107481088301056 C2(107,359) = 1.722573746113028322 C3(107,359) = 4.864754371504929815 C4(107,359) = 2872 Sum = 3969.648948821286521 Averaged sum = 0.3966079477291723969 logp*logq = 27.49175849936332212 -------------- ************************************* p = 107; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 964374094892.8353283 -------------- Searches starting with [107,367]-exponents: u = 5, v = 15 n_start has 49 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(107,367) = 0.6946059800258717306 D2(107,367) = 0.1160571369097289758 C1(107,367) = 0.9203033990605220869 C2(107,367) = 1.844840487770798425 C3(107,367) = 4.132535882250205415 C4(107,367) = 2936 Sum = 4630.789684921120766 Averaged sum = 0.4626625721771526391 logp*logq = 27.59474512152064586 -------------- ************************************* p = 107; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1040291818921.268770 -------------- Searches starting with [107,373]-exponents: u = 5, v = 11 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(107,373) = 0.9028669002213076711 D2(107,373) = 0.04273223999595199179 C1(107,373) = 1.181802512637115626 C2(107,373) = 1.879717333785351666 C3(107,373) = 6.184593739357934392 C4(107,373) = 2984 Sum = 4546.727875464380944 Averaged sum = 0.4542639499914457931 logp*logq = 27.67052238483898690 -------------- ************************************* p = 107; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1120829760775.007864 -------------- Searches starting with [107,379]-exponents: u = 5, v = 11 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(107,379) = 0.5902721548531209182 D2(107,379) = 0.1035888238891735302 C1(107,379) = 0.7846410627060484640 C2(107,379) = 1.943373399607706889 C3(107,379) = 3.352585506692056000 C4(107,379) = 3032 Sum = 4585.587394953881948 Averaged sum = 0.4581464077284326054 logp*logq = 27.74509038477068381 -------------- ************************************* p = 107; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1177187701297.741644 -------------- Searches starting with [107,383]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(107,383) = 1.131535521828731059 D2(107,383) = 0.08276147424558721400 C1(107,383) = 1.792590297174988274 C2(107,383) = 1.101019603613865791 C3(107,383) = 15.85924045101586017 C4(107,383) = 3064 Sum = 3254.722093085119597 Averaged sum = 0.3251795477155679486 logp*logq = 27.79414940583163470 -------------- ************************************* p = 107; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1265876031514.897117 -------------- Searches starting with [107,389]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(107,389) = 0.6335686730630994350 D2(107,389) = 0.1002046095186249076 C1(107,389) = 0.8330063463042761322 C2(107,389) = 1.860228683965054292 C3(107,389) = 3.612137581646328515 C4(107,389) = 3112 Sum = 4510.324641941125055 Averaged sum = 0.4506268999841267914 logp*logq = 27.86678551346168384 -------------- ************************************* p = 107; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1392205081952.564572 -------------- Searches starting with [107,397]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(107,397) = 0.8361817678878986131 D2(107,397) = 0.05001501704107673623 C1(107,397) = 1.084975540373914194 C2(107,397) = 1.601506747892349570 C3(107,397) = 5.326939748951288809 C4(107,397) = 3176 Sum = 4259.675561129416038 Averaged sum = 0.4255845300359092854 logp*logq = 27.96190999597783780 -------------- ************************************* p = 107; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1458975787660.223031 -------------- Searches starting with [107,401]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(107,401) = 0.6519131797098157172 D2(107,401) = 0.02970547873037088976 C1(107,401) = 0.8984091834918029792 C2(107,401) = 1.439461623945549705 C3(107,401) = 3.995367265784390962 C4(107,401) = 3208 Sum = 4010.254242014503115 Averaged sum = 0.4006648258581779513 logp*logq = 28.00875579017057924 -------------- ************************************* p = 107; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1600058942242.619843 -------------- Searches starting with [107,409]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 52 left neighbors We generated 9958 right neighbors We generated 10009 non-negative rho_i D1(107,409) = 1.002172859759987474 D2(107,409) = 0.001247996913570700372 C1(107,409) = 1.311368312147261864 C2(107,409) = 2.076334405892171708 C3(107,409) = 7.552066892401684652 C4(107,409) = 3272 Sum = 4538.542411739507124 Averaged sum = 0.4534461396482672719 logp*logq = 28.10106158339738549 -------------- ************************************* p = 107; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1791254509087.787423 -------------- Searches starting with [107,419]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(107,419) = 0.8487592789830078683 D2(107,419) = 0.05022249537117428672 C1(107,419) = 1.124546048867030512 C2(107,419) = 1.707576395450706205 C3(107,419) = 5.662046095884888731 C4(107,419) = 3352 Sum = 4596.119451890402376 Averaged sum = 0.4591986663892898767 logp*logq = 28.21393733337120008 -------------- ************************************* p = 107; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1831559565253.360959 -------------- Searches starting with [107,421]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(107,421) = 0.7760604636890880053 D2(107,421) = 0.05692465212241791131 C1(107,421) = 1.053189791119641276 C2(107,421) = 1.715058360275638012 C3(107,421) = 5.072180344019642253 C4(107,421) = 3368 Sum = 4343.722834373390318 Averaged sum = 0.4339816999074223517 logp*logq = 28.23618894129728769 -------------- ************************************* p = 107; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2043908038685.324742 -------------- Searches starting with [107,431]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(107,431) = 0.6576452231202545568 D2(107,431) = 0.09967001007459431538 C1(107,431) = 0.8932245068825109814 C2(107,431) = 1.901166940644459962 C3(107,431) = 3.963557399905393950 C4(107,431) = 3448 Sum = 4610.764244722363754 Averaged sum = 0.4606618288262927119 logp*logq = 28.34588479639943549 -------------- ************************************* p = 107; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2088606685356.001456 -------------- Searches starting with [107,433]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(107,433) = 0.7828145818734684558 D2(107,433) = 0.08950715351664200923 C1(107,433) = 1.253475408824140678 C2(107,433) = 1.318123186216423658 C3(107,433) = 6.907197994365720659 C4(107,433) = 3464 Sum = 4449.891925520978200 Averaged sum = 0.4445890623959414727 logp*logq = 28.36751830186579501 -------------- ************************************* p = 107; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2227329167086.178703 -------------- Searches starting with [107,439]-exponents: u = 13, v = 3 n_start has 35 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(107,439) = 0.7507910350820231863 D2(107,439) = 0.08136047215914444873 C1(107,439) = 0.9905316834148498721 C2(107,439) = 2.014535416691347634 C3(107,439) = 4.605110747263563285 C4(107,439) = 3512 Sum = 4486.870350937336550 Averaged sum = 0.4482835798718489909 logp*logq = 28.43182430068420513 -------------- ************************************* p = 107; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2323761968017.792106 -------------- Searches starting with [107,443]-exponents: u = 13, v = 3 n_start has 35 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(107,443) = 0.7158048268324375462 D2(107,443) = 0.04662538425973179018 C1(107,443) = 0.9255082871977192995 C2(107,443) = 1.981826341000943613 C3(107,443) = 4.165831710467082410 C4(107,443) = 3544 Sum = 4265.833159668854160 Averaged sum = 0.4261997362043015446 logp*logq = 28.47420852627231678 -------------- ************************************* p = 107; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2474532592404.644149 -------------- Searches starting with [107,449]-exponents: u = 13, v = 3 n_start has 35 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(107,449) = 0.8554774133425684632 D2(107,449) = 0.1502477136611690883 C1(107,449) = 1.125598265152182556 C2(107,449) = 1.428013546739787201 C3(107,449) = 5.671238917193095715 C4(107,449) = 3592 Sum = 4745.503428223058177 Averaged sum = 0.4741236315539073011 logp*logq = 28.53707264256082259 -------------- ************************************* p = 107; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2687404975813.426614 -------------- Searches starting with [107,457]-exponents: u = 17, v = 3 n_start has 43 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(107,457) = 0.7059752187301691351 D2(107,457) = 0.09686400539170973497 C1(107,457) = 0.9278685222012001746 C2(107,457) = 1.933851213934781456 C3(107,457) = 4.181018482379080210 C4(107,457) = 3656 Sum = 4504.834532041230931 Averaged sum = 0.4500783826597293367 logp*logq = 28.61959715092036183 -------------- ************************************* p = 107; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2799100491740.117593 -------------- Searches starting with [107,461]-exponents: u = 21, v = 3 n_start has 51 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(107,461) = 1.156322989998193825 D2(107,461) = 0.05025471703829797688 C1(107,461) = 1.741891967866687254 C2(107,461) = 1.889110760744568734 C3(107,461) = 14.66681462182928026 C4(107,461) = 3688 Sum = 2556.787175699627619 Averaged sum = 0.2554488136376888420 logp*logq = 28.66031922854696538 -------------- ************************************* p = 107; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2856299313016.858396 -------------- Searches starting with [107,463]-exponents: u = 21, v = 3 n_start has 51 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(107,463) = 0.6588718684470784471 D2(107,463) = 0.02899265551121201641 C1(107,463) = 0.8857534696048124809 C2(107,463) = 1.868776988560219846 C3(107,463) = 3.918164773921779409 C4(107,463) = 3704 Sum = 4602.847253656555142 Averaged sum = 0.4598708416082081269 logp*logq = 28.68054795639108612 -------------- ************************************* p = 107; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2973451696595.526669 -------------- Searches starting with [107,467]-exponents: u = 21, v = 3 n_start has 51 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(107,467) = 0.7122541746282015755 D2(107,467) = 0.1129362724975364786 C1(107,467) = 0.9326022840440134830 C2(107,467) = 1.877717699413143276 C3(107,467) = 4.211644628563178487 C4(107,467) = 3736 Sum = 4426.701841179935360 Averaged sum = 0.4422721391927200879 logp*logq = 28.72074458133206641 -------------- ************************************* p = 107; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3347719585579.701325 -------------- Searches starting with [107,479]-exponents: u = 33, v = 3 n_start has 76 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(107,479) = 1.063591503943226068 D2(107,479) = 0.03250853134485081058 C1(107,479) = 1.449565283560050122 C2(107,479) = 1.742860702388234733 C3(107,479) = 9.345439679324397458 C4(107,479) = 3832 Sum = 5283.188771900935591 Averaged sum = 0.5278438177541148557 logp*logq = 28.83930050924749706 -------------- ************************************* p = 107; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3617119220845.405702 -------------- Searches starting with [107,487]-exponents: u = 45, v = 3 n_start has 100 digits starting right neighbors generation We generated 565 left neighbors We generated 9445 right neighbors We generated 10009 non-negative rho_i D1(107,487) = 1.078924205313859531 D2(107,487) = 0.02575864550836432289 C1(107,487) = 1.506346942679599822 C2(107,487) = 1.651013066816359635 C3(107,487) = 10.20045618594444987 C4(107,487) = 3896 Sum = 5744.907139480234349 Averaged sum = 0.5739741372245213656 logp*logq = 28.91669902960644794 -------------- ************************************* p = 107; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3758055523246.369374 -------------- Searches starting with [107,491]-exponents: u = 57, v = 3 n_start has 124 digits starting right neighbors generation We generated 856 left neighbors We generated 9154 right neighbors We generated 10009 non-negative rho_i D1(107,491) = 0.9007604346251077752 D2(107,491) = 0.03458637132898235890 C1(107,491) = 1.238588325283445418 C2(107,491) = 1.597595501129145447 C3(107,491) = 6.750466924807442864 C4(107,491) = 3928 Sum = 5321.384686430844349 Averaged sum = 0.5316599746658851383 logp*logq = 28.95492279149039238 -------------- ************************************* p = 107; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4052863974713.556608 -------------- Searches starting with [107,499]-exponents: u = 113, v = 3 n_start has 238 digits starting right neighbors generation We generated 3516 left neighbors We generated 6494 right neighbors We generated 10009 non-negative rho_i D1(107,499) = 0.7055491787014027119 D2(107,499) = 0.003230065946073450621 C1(107,499) = 0.9339733498110836085 C2(107,499) = 1.432984509926040251 C3(107,499) = 4.220556874977941530 C4(107,499) = 3992 Sum = 4890.535978040767533 Averaged sum = 0.4886138453432678123 logp*logq = 29.03044490138150243 -------------- ************************************* p = 107; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4206925089459.447155 -------------- Searches starting with [107,503]-exponents: u = 209, v = 3 n_start has 433 digits --- performed 5000 steps in the continued fraction search [107,503]-exponents: u = 137, v = 31 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,503) = 0.6487075156968175878 D2(107,503) = 0.03973337975057026495 C1(107,503) = 0.8359204938853765171 C2(107,503) = 1.321827740157428445 C3(107,503) = 3.628403174515801747 C4(107,503) = 4024 Sum = 5151.810735431318874 Averaged sum = 0.5152325968028121686 logp*logq = 29.06775311421235502 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,503) = 0.6487075156968175878 D2(107,503) = 0.03973337975057026495 C1(107,503) = 0.8359204938853765171 C2(107,503) = 1.321827740157428445 C3(107,503) = 3.628403174515801747 C4(107,503) = 4024 Sum = 5151.810735431318874 Averaged sum = 0.5152325968028121686 logp*logq = 29.06775311421235502 -------------- ************************************* p = 107; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4446608563672.582406 -------------- Searches starting with [107,509]-exponents: u = 4, v = 773 n_start has 2101 digits --- performed 5000 steps in the continued fraction search [107,509]-exponents: u = 451, v = 433 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,509) = 0.6447865658281879284 D2(107,509) = 0.4475047911783217599 C1(107,509) = 0.7880653909455740508 C2(107,509) = 1.428387948819812167 C3(107,509) = 3.370332315275454181 C4(107,509) = 4072 Sum = 6022.336050815891176 Averaged sum = 0.6022938344650356212 logp*logq = 29.12316280102219810 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,509) = 0.6447865658281879284 D2(107,509) = 0.4475047911783217599 C1(107,509) = 0.7880653909455740508 C2(107,509) = 1.428387948819812167 C3(107,509) = 3.370332315275454181 C4(107,509) = 4072 Sum = 6022.336050815891176 Averaged sum = 0.6022938344650356212 logp*logq = 29.12316280102219810 -------------- ************************************* p = 107; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4958127059053.851458 -------------- Searches starting with [107,521]-exponents: u = 4, v = 59 n_start has 169 digits starting right neighbors generation We generated 1720 left neighbors We generated 8290 right neighbors We generated 10009 non-negative rho_i D1(107,521) = 0.7451439745971537606 D2(107,521) = 0.007878434022785330643 C1(107,521) = 1.005129959510049851 C2(107,521) = 1.522480938465411352 C3(107,521) = 4.709933667410245184 C4(107,521) = 4168 Sum = 4957.198694640902231 Averaged sum = 0.4952741227536119723 logp*logq = 29.23204917629140641 -------------- ************************************* p = 107; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5047694684882.757488 -------------- Searches starting with [107,523]-exponents: u = 4, v = 53 n_start has 153 digits starting right neighbors generation We generated 1383 left neighbors We generated 8627 right neighbors We generated 10009 non-negative rho_i D1(107,523) = 0.7466752523994794717 D2(107,523) = 0.02603287318356251445 C1(107,523) = 1.016742003202060987 C2(107,523) = 1.563388630196974956 C3(107,523) = 4.795015126039038330 C4(107,523) = 4184 Sum = 3881.407027403690911 Averaged sum = 0.3877916902191718365 logp*logq = 29.24995275694584590 -------------- ************************************* p = 107; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5912388868545.597781 -------------- Searches starting with [107,541]-exponents: u = 4, v = 23 n_start has 71 digits starting right neighbors generation We generated 309 left neighbors We generated 9701 right neighbors We generated 10009 non-negative rho_i D1(107,541) = 0.6142379539074125330 D2(107,541) = 0.007346844731839496765 C1(107,541) = 0.8402784715286116126 C2(107,541) = 1.772866186772379791 C3(107,541) = 3.652864412876913650 C4(107,541) = 4328 Sum = 4335.134025705851064 Averaged sum = 0.4331235913383805639 logp*logq = 29.40807107355229433 -------------- ************************************* p = 107; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6225097055148.340477 -------------- Searches starting with [107,547]-exponents: u = 4, v = 20 n_start has 63 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(107,547) = 0.7657578378144347253 D2(107,547) = 0.07990706075770594847 C1(107,547) = 1.031505719766835987 C2(107,547) = 1.847179274052701568 C3(107,547) = 4.905411772067283297 C4(107,547) = 4376 Sum = 4760.650159057384043 Averaged sum = 0.4756369426573467922 logp*logq = 29.45961014934626663 -------------- ************************************* p = 107; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6775031694909.353737 -------------- Searches starting with [107,557]-exponents: u = 4, v = 14 n_start has 47 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(107,557) = 1.017268753172411059 D2(107,557) = 0.07094927510577375208 C1(107,557) = 1.517473467115807433 C2(107,557) = 1.910850824188593057 C3(107,557) = 10.37694922192506342 C4(107,557) = 4456 Sum = 4222.412814241200915 Averaged sum = 0.4218616059787392262 logp*logq = 29.54426516089877276 -------------- ************************************* p = 107; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7122868668451.908644 -------------- Searches starting with [107,563]-exponents: u = 4, v = 14 n_start has 47 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(107,563) = 0.6113695889316973742 D2(107,563) = 0.1382964714630423918 C1(107,563) = 0.7961964166260525757 C2(107,563) = 1.979960863853810582 C3(107,563) = 3.412849173606262451 C4(107,563) = 4504 Sum = 4510.835561955692232 Averaged sum = 0.4506779460441295067 logp*logq = 29.59433166308132395 -------------- ************************************* p = 107; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7484590440718.652130 -------------- Searches starting with [107,569]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(107,569) = 0.8052908701729217458 D2(107,569) = 0.02025095347405863703 C1(107,569) = 1.038536713124305405 C2(107,569) = 1.956768477334968374 C3(107,569) = 4.958876365455547553 C4(107,569) = 4552 Sum = 4327.514428100884155 Averaged sum = 0.4323623167250358832 logp*logq = 29.64386741496423426 -------------- ************************************* p = 107; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7608318639308.710593 -------------- Searches starting with [107,571]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(107,571) = 0.6257754260027581445 D2(107,571) = 0.03396161247411132076 C1(107,571) = 0.8151836974865928868 C2(107,571) = 1.971084109441108371 C3(107,571) = 3.514233356964136619 C4(107,571) = 4568 Sum = 4183.229306278757334 Averaged sum = 0.4179467785272012523 logp*logq = 29.66026332243297402 -------------- ************************************* p = 107; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7989175412174.394676 -------------- Searches starting with [107,577]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(107,577) = 0.6880794401657864614 D2(107,577) = 0.07766347772771852648 C1(107,577) = 0.9281575063095515847 C2(107,577) = 2.016588055791746014 C3(107,577) = 4.182881731308285467 C4(107,577) = 4616 Sum = 4372.923212229861928 Averaged sum = 0.4368991120221662432 logp*logq = 29.70910866789968672 -------------- ************************************* p = 107; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8657090382502.657030 -------------- Searches starting with [107,587]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(107,587) = 0.7999472158613487747 D2(107,587) = 0.1030679255620495536 C1(107,587) = 1.255378332434551869 C2(107,587) = 1.335840625998213384 C3(107,587) = 6.927492504587233332 C4(107,587) = 4696 Sum = 4372.385885690208534 Averaged sum = 0.4368454276841051587 logp*logq = 29.78939979850304733 -------------- ************************************* p = 107; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9078412888797.825784 -------------- Searches starting with [107,593]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(107,593) = 0.6634310815925417158 D2(107,593) = 0.1119197962483490132 C1(107,593) = 0.9388796017408688493 C2(107,593) = 1.912318534463328711 C3(107,593) = 4.252603424873477171 C4(107,593) = 4744 Sum = 4079.428079058067271 Averaged sum = 0.4075759895152430084 logp*logq = 29.83692050128123291 -------------- ************************************* p = 107; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9515686845312.160332 -------------- Searches starting with [107,599]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(107,599) = 0.8543982348963813738 D2(107,599) = 0.08787889926247437401 C1(107,599) = 1.258708225993510454 C2(107,599) = 1.754471744968020031 C3(107,599) = 6.963149092935411561 C4(107,599) = 4792 Sum = 3273.141004972658594 Averaged sum = 0.3270197826928423014 logp*logq = 29.88396279960080259 -------------- ************************************* p = 107; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9665064577388.451204 -------------- Searches starting with [107,601]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(107,601) = 0.5973035869698733525 D2(107,601) = 0.08287434253582140916 C1(107,601) = 0.8024664628528596076 C2(107,601) = 1.750075365263758610 C3(107,601) = 3.446000946393820645 C4(107,601) = 4808 Sum = 4494.319719886167733 Averaged sum = 0.4490278469263830285 logp*logq = 29.89953891013801087 -------------- ************************************* p = 107; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10124285123500.49661 -------------- Searches starting with [107,607]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(107,607) = 1.090793277129232629 D2(107,607) = 0.01292417499687545045 C1(107,607) = 1.525218276867335725 C2(107,607) = 2.095621109207948676 C3(107,607) = 10.50159971173526405 C4(107,607) = 4856 Sum = 4010.000418232402366 Averaged sum = 0.4006394663035670263 logp*logq = 29.94595812134212390 -------------- ************************************* p = 107; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10600483643404.48321 -------------- Searches starting with [107,613]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(107,613) = 0.7332280766871723665 D2(107,613) = 0.03837798540927254802 C1(107,613) = 1.204876151470941474 C2(107,613) = 2.122890638600419584 C3(107,613) = 6.408565399178847199 C4(107,613) = 4904 Sum = 4153.868289493090385 Averaged sum = 0.4150133169640414013 logp*logq = 29.99192074274197380 -------------- ************************************* p = 107; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10927604564243.47138 -------------- Searches starting with [107,617]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(107,617) = 1.557069283823869068 D2(107,617) = 0.02788678037220076469 C1(107,617) = 2.558229155816154333 C2(107,617) = 1.044485021830508310 C3(107,617) = 51.63435467377284609 C4(107,617) = 4936 Sum = 2522.373324319593302 Averaged sum = 0.2520105229612941654 logp*logq = 30.02231323254621813 -------------- ************************************* p = 107; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11094112400491.02529 -------------- Searches starting with [107,619]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(107,619) = 1.258489551434104681 D2(107,619) = 0.03718066268463581922 C1(107,619) = 1.604839699518562771 C2(107,619) = 1.229538824073133277 C3(107,619) = 11.87321582888453261 C4(107,619) = 4952 Sum = 4528.160042728581106 Averaged sum = 0.4524088363201699576 logp*logq = 30.03743566915719476 -------------- ************************************* p = 107; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12135507059078.55540 -------------- Searches starting with [107,631]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(107,631) = 1.081612060161626914 D2(107,631) = 0.02030442715565145827 C1(107,631) = 1.437073238435194481 C2(107,631) = 2.010754850364091037 C3(107,631) = 9.167170664753685623 C4(107,631) = 5048 Sum = 4910.323041792405644 Averaged sum = 0.4905907724840049599 logp*logq = 30.12715673907787173 -------------- ************************************* p = 107; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13060720468225.59790 -------------- Searches starting with [107,641]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(107,641) = 0.7405560854952770346 D2(107,641) = 0.1505287051956258411 C1(107,641) = 0.9535205037912942676 C2(107,641) = 1.921879488112051942 C3(107,641) = 4.349688315600937842 C4(107,641) = 5128 Sum = 3908.199492939622869 Averaged sum = 0.3904685276191050923 logp*logq = 30.20063040427558102 -------------- ************************************* p = 107; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13252237409786.10892 -------------- Searches starting with [107,643]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(107,643) = 0.6655862901246497625 D2(107,643) = 0.1468189664692442939 C1(107,643) = 1.020693878397332618 C2(107,643) = 1.472926737509846417 C3(107,643) = 4.824319672302101530 C4(107,643) = 5144 Sum = 4238.313216485320983 Averaged sum = 0.4234502164537237469 logp*logq = 30.21518751522127870 -------------- ************************************* p = 107; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13641890951818.37508 -------------- Searches starting with [107,647]-exponents: u = 18, v = 5 n_start has 51 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(107,647) = 0.7909806269708296845 D2(107,647) = 0.1262975067094410362 C1(107,647) = 1.212900732524676745 C2(107,647) = 1.358870154982498145 C3(107,647) = 6.488344766333062202 C4(107,647) = 5176 Sum = 4276.021935180365858 Averaged sum = 0.4272176975902054009 logp*logq = 30.24416639156648051 -------------- ************************************* p = 107; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14243196961979.69968 -------------- Searches starting with [107,653]-exponents: u = 18, v = 5 n_start has 51 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(107,653) = 1.111680830188479745 D2(107,653) = 0.1204422759477786804 C1(107,653) = 1.567374856102004008 C2(107,653) = 1.958586535461236406 C3(107,653) = 11.20682672946471292 C4(107,653) = 5224 Sum = 4540.255382257374942 Averaged sum = 0.4536172826713332943 logp*logq = 30.28730050247173311 -------------- ************************************* p = 107; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14865141458468.85182 -------------- Searches starting with [107,659]-exponents: u = 25, v = 5 n_start has 65 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(107,659) = 0.9225174729342263401 D2(107,659) = 0.07969569055986726798 C1(107,659) = 1.364381307327474518 C2(107,659) = 1.919666629923604341 C3(107,659) = 8.195251060264471773 C4(107,659) = 5272 Sum = 2836.994698629722966 Averaged sum = 0.2834443699300352648 logp*logq = 30.33004008854381485 -------------- ************************************* p = 107; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15077130673397.98786 -------------- Searches starting with [107,661]-exponents: u = 25, v = 5 n_start has 65 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(107,661) = 0.5829317693332211268 D2(107,661) = 0.06716232530131572666 C1(107,661) = 0.7752657105241284443 C2(107,661) = 1.907738414379275106 C3(107,661) = 3.304473824638780385 C4(107,661) = 5288 Sum = 4450.138595966221145 Averaged sum = 0.4446137072600880353 logp*logq = 30.34420018675668295 -------------- ************************************* p = 107; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16399489775693.48867 -------------- Searches starting with [107,673]-exponents: u = 39, v = 5 n_start has 94 digits starting right neighbors generation We generated 696 left neighbors We generated 9314 right neighbors We generated 10009 non-negative rho_i D1(107,673) = 0.6075911702009185125 D2(107,673) = 0.0001295539409283687604 C1(107,673) = 0.8184478241050591584 C2(107,673) = 1.844298022590440976 C3(107,673) = 3.531963364831220684 C4(107,673) = 5384 Sum = 4430.326652107967761 Averaged sum = 0.4426342943458854791 logp*logq = 30.42827133903653443 -------------- ************************************* p = 107; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16859952608398.09490 -------------- Searches starting with [107,677]-exponents: u = 53, v = 5 n_start has 122 digits starting right neighbors generation We generated 1137 left neighbors We generated 8873 right neighbors We generated 10009 non-negative rho_i D1(107,677) = 0.8078051553598980988 D2(107,677) = 0.03137712691369395051 C1(107,677) = 1.121496301290862341 C2(107,677) = 1.775625109389465822 C3(107,677) = 5.635485687382167053 C4(107,677) = 5416 Sum = 3576.770663172848426 Averaged sum = 0.3573554464155108829 logp*logq = 30.45596225760851434 -------------- ************************************* p = 107; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17569637176960.43356 -------------- Searches starting with [107,683]-exponents: u = 81, v = 5 n_start has 179 digits starting right neighbors generation We generated 2506 left neighbors We generated 7504 right neighbors We generated 10009 non-negative rho_i D1(107,683) = 0.9173830370952643951 D2(107,683) = 0.01465341693087888738 C1(107,683) = 1.193097932802984369 C2(107,683) = 1.688487561935662412 C3(107,683) = 6.293240986617394243 C4(107,683) = 5464 Sum = 4252.887508428625291 Averaged sum = 0.4249063351412354172 logp*logq = 30.49719336776979694 -------------- ************************************* p = 107; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18552177661545.85923 -------------- Searches starting with [107,691]-exponents: u = 340, v = 5 n_start has 705 digits --- performed 5000 steps in the continued fraction search [107,691]-exponents: u = 39, v = 205 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,691) = 0.6898124567197956594 D2(107,691) = 0.2820792653535201407 C1(107,691) = 0.8722688596317503922 C2(107,691) = 1.466295242547430249 C3(107,691) = 3.837546689534258565 C4(107,691) = 5528 Sum = 5360.263663023786284 Averaged sum = 0.5360799742998086092 logp*logq = 30.55160829224525356 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(107,691) = 0.6898124567197956594 D2(107,691) = 0.2820792653535201407 C1(107,691) = 0.8722688596317503922 C2(107,691) = 1.466295242547430249 C3(107,691) = 3.837546689534258565 C4(107,691) = 5528 Sum = 5360.263663023786284 Averaged sum = 0.5360799742998086092 logp*logq = 30.55160829224525356 -------------- ************************************* p = 107; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19840527250819.84063 -------------- Searches starting with [107,701]-exponents: u = 7, v = 87 n_start has 262 digits starting right neighbors generation We generated 5362 left neighbors We generated 4648 right neighbors We generated 10009 non-negative rho_i D1(107,701) = 0.6413883425236356235 D2(107,701) = 0.01629483131023055733 C1(107,701) = 0.8472317324477248954 C2(107,701) = 1.602137646994801227 C3(107,701) = 3.692234839390064879 C4(107,701) = 5608 Sum = 4574.205879673604784 Averaged sum = 0.4570092796157063427 logp*logq = 30.61874779257429117 -------------- ************************************* p = 107; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20920975197989.35064 -------------- Searches starting with [107,709]-exponents: u = 7, v = 42 n_start has 134 digits starting right neighbors generation We generated 1423 left neighbors We generated 8587 right neighbors We generated 10009 non-negative rho_i D1(107,709) = 0.7464116563571888014 D2(107,709) = 0.008814779211303698158 C1(107,709) = 1.028642398470895378 C2(107,709) = 1.776074649585372913 C3(107,709) = 4.883804229698452577 C4(107,709) = 5672 Sum = 3661.191885032859162 Averaged sum = 0.3657899775235147529 logp*logq = 30.67177336962146279 -------------- ************************************* p = 107; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22335986128078.28460 -------------- Searches starting with [107,719]-exponents: u = 7, v = 22 n_start has 78 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(107,719) = 0.7649556110008868215 D2(107,719) = 0.004312219254781958066 C1(107,719) = 0.9913470404924152873 C2(107,719) = 1.882620053004455694 C3(107,719) = 4.610903420165697409 C4(107,719) = 5752 Sum = 4187.847159449250663 Averaged sum = 0.4184081486111750088 logp*logq = 30.73722022145165026 -------------- ************************************* p = 107; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23521255846510.43576 -------------- Searches starting with [107,727]-exponents: u = 7, v = 17 n_start has 63 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(107,727) = 0.5885572778344286606 D2(107,727) = 0.03970533915834491791 C1(107,727) = 0.8150045825109270670 C2(107,727) = 1.919919607500501345 C3(107,727) = 3.513263024391924062 C4(107,727) = 5816 Sum = 4293.375203951775894 Averaged sum = 0.4289514640775078323 logp*logq = 30.78892563236814831 -------------- ************************************* p = 107; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24442209737164.60466 -------------- Searches starting with [107,733]-exponents: u = 7, v = 12 n_start has 49 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(107,733) = 1.192679413870601417 D2(107,733) = 0.06817354097611431685 C1(107,733) = 1.771282243991585484 C2(107,733) = 1.949803657005637056 C3(107,733) = 15.34669776197818092 C4(107,733) = 5864 Sum = 4503.242038785077399 Averaged sum = 0.4499192765296310719 logp*logq = 30.82733266092237562 -------------- ************************************* p = 107; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25391271399847.49481 -------------- Searches starting with [107,739]-exponents: u = 7, v = 12 n_start has 49 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(107,739) = 0.6498666078233293350 D2(107,739) = 0.09871066980008648796 C1(107,739) = 0.9196841549231085127 C2(107,739) = 1.981744871590500053 C3(107,739) = 4.128592314411868830 C4(107,739) = 5912 Sum = 4080.439286160928123 Averaged sum = 0.4076770192987239607 logp*logq = 30.86542658521803776 -------------- ************************************* p = 107; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26039900015745.09121 -------------- Searches starting with [107,743]-exponents: u = 7, v = 12 n_start has 49 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(107,743) = 0.7548366867947332417 D2(107,743) = 0.1204689520509443977 C1(107,743) = 1.041450858067735668 C2(107,743) = 2.004432771749556439 C3(107,743) = 4.981206354016797862 C4(107,743) = 5944 Sum = 3912.367722096285755 Averaged sum = 0.3908849757314702523 logp*logq = 30.89065109362041973 -------------- ************************************* p = 107; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27376203162268.32767 -------------- Searches starting with [107,751]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(107,751) = 0.9064468983202371556 D2(107,751) = 0.1043596279575423427 C1(107,751) = 1.399712883301238431 C2(107,751) = 1.273747050970821186 C3(107,751) = 8.654053482097923427 C4(107,751) = 6008 Sum = 3859.309262221832148 Averaged sum = 0.3855839007115428263 logp*logq = 30.94069525423247994 -------------- ************************************* p = 107; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28413337035416.14201 -------------- Searches starting with [107,757]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(107,757) = 0.6897541032564170325 D2(107,757) = 0.1268392638792588341 C1(107,757) = 0.9484432574336840636 C2(107,757) = 1.963776850467644600 C3(107,757) = 4.315772227717110593 C4(107,757) = 6056 Sum = 4404.942655647530675 Averaged sum = 0.4400981772052683260 logp*logq = 30.97787976478470407 -------------- ************************************* p = 107; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29121739140318.74558 -------------- Searches starting with [107,761]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(107,761) = 0.5554575858245655244 D2(107,761) = 0.1114962970321957928 C1(107,761) = 0.7359416978374692897 C2(107,761) = 1.949438492490629575 C3(107,761) = 3.110081347889771266 C4(107,761) = 6088 Sum = 4449.705324367820122 Averaged sum = 0.4445704190596283467 logp*logq = 31.00250606069890427 -------------- ************************************* p = 107; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30580164322038.83168 -------------- Searches starting with [107,769]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(107,769) = 0.6012603201443101078 D2(107,769) = 0.07739302262368861288 C1(107,769) = 0.8241628868566228478 C2(107,769) = 1.793583108398961427 C3(107,769) = 3.563222000842367424 C4(107,769) = 6152 Sum = 4215.233260578562042 Averaged sum = 0.4211442961912840485 logp*logq = 31.05137268992839643 -------------- ************************************* p = 107; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31330578813453.95712 -------------- Searches starting with [107,773]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(107,773) = 0.8478456854173011976 D2(107,773) = 0.06186639533651210729 C1(107,773) = 1.209852943641467754 C2(107,773) = 1.697217686764459471 C3(107,773) = 6.457927729114266547 C4(107,773) = 6184 Sum = 3327.322778810125970 Averaged sum = 0.3324330881017210481 logp*logq = 31.07561569545719726 -------------- ************************************* p = 107; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34071733742970.14080 -------------- Searches starting with [107,787]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(107,787) = 0.7692841419278316074 D2(107,787) = 0.005298182245345918219 C1(107,787) = 1.284624239097573151 C2(107,787) = 2.078112890494205451 C3(107,787) = 7.247004567369781894 C4(107,787) = 6296 Sum = 4185.927134748039532 Averaged sum = 0.4182163187878948478 logp*logq = 31.15948923397825246 -------------- ************************************* p = 107; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36142493052387.32678 -------------- Searches starting with [107,797]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(107,797) = 0.8273143429751930126 D2(107,797) = 0.01099946778185092567 C1(107,797) = 1.359249165160208623 C2(107,797) = 1.311158382711069217 C3(107,797) = 8.130661554122275740 C4(107,797) = 6376 Sum = 4292.808306277439995 Averaged sum = 0.4288948252849875107 logp*logq = 31.21849038190065309 -------------- ************************************* p = 107; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38756602696855.62046 -------------- Searches starting with [107,809]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(107,809) = 0.5895593198343987307 D2(107,809) = 0.02510982674187871390 C1(107,809) = 0.7887031342605859991 C2(107,809) = 1.630878804956733668 C3(107,809) = 3.373647824544444534 C4(107,809) = 6472 Sum = 4258.495752456046653 Averaged sum = 0.4254666552558743783 logp*logq = 31.28832224938972529 -------------- ************************************* p = 107; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39206360382767.81305 -------------- Searches starting with [107,811]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(107,811) = 0.7735589180988618969 D2(107,811) = 0.02819510217596169636 C1(107,811) = 1.090650736105302303 C2(107,811) = 1.702067827982855307 C3(107,811) = 5.373754001359148703 C4(107,811) = 6488 Sum = 4276.833245968174050 Averaged sum = 0.4272987557166723999 logp*logq = 31.29986010422554523 -------------- ************************************* p = 107; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41517073997136.34433 -------------- Searches starting with [107,821]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(107,821) = 0.6666126339361682483 D2(107,821) = 0.04062872251196543345 C1(107,821) = 0.8622921147000538867 C2(107,821) = 1.812499738287630240 C3(107,821) = 3.778970004772981039 C4(107,821) = 6568 Sum = 3984.879018651795629 Averaged sum = 0.3981295852384649445 logp*logq = 31.35712588017227660 -------------- ************************************* p = 107; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41991792523294.22779 -------------- Searches starting with [107,823]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(107,823) = 0.7695772981221429510 D2(107,823) = 0.04281392216509780034 C1(107,823) = 1.026121880320259225 C2(107,823) = 1.815084048527074558 C3(107,823) = 4.864862371353117371 C4(107,823) = 6584 Sum = 4660.252513362592753 Averaged sum = 0.4656062057510833003 logp*logq = 31.36849529900365805 -------------- ************************************* p = 107; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42954025412436.90568 -------------- Searches starting with [107,827]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(107,827) = 0.9875969425709250509 D2(107,827) = 0.05133971379695913904 C1(107,827) = 1.473211628571544868 C2(107,827) = 1.979612847683045689 C3(107,827) = 9.692434065993904764 C4(107,827) = 6616 Sum = 3508.139930660269852 Averaged sum = 0.3504985443760885055 logp*logq = 31.39115148319027655 -------------- ************************************* p = 107; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43441595289185.16373 -------------- Searches starting with [107,829]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(107,829) = 0.6419793797389531731 D2(107,829) = 0.05374195347673345802 C1(107,829) = 0.9576492663824261652 C2(107,829) = 1.982459266465530008 C3(107,829) = 4.377464918490450472 C4(107,829) = 6632 Sum = 4198.922316449581585 Averaged sum = 0.4195146684433591353 logp*logq = 31.40243851484827070 -------------- ************************************* p = 107; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45945099423788.45797 -------------- Searches starting with [107,839]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(107,839) = 0.7690144481129767007 D2(107,839) = 0.06588927519019365377 C1(107,839) = 1.035890961936278676 C2(107,839) = 1.996811204771154782 C3(107,839) = 4.938689685852406621 C4(107,839) = 6712 Sum = 4628.186092663222203 Averaged sum = 0.4624024470639646521 logp*logq = 31.45846830885312099 -------------- ************************************* p = 107; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49639013866730.19225 -------------- Searches starting with [107,853]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(107,853) = 1.176648694812452697 D2(107,853) = 0.04998762903394998493 C1(107,853) = 1.883956144257165039 C2(107,853) = 1.153330702453236186 C3(107,853) = 18.25824860054587236 C4(107,853) = 6824 Sum = 3334.172075764123226 Averaged sum = 0.3331174019146891024 logp*logq = 31.53579821036920425 -------------- ************************************* p = 107; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50736132119129.28990 -------------- Searches starting with [107,857]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(107,857) = 1.029098411451076833 D2(107,857) = 0.05918585963117040812 C1(107,857) = 1.329126289565441084 C2(107,857) = 1.354791377947625192 C3(107,857) = 7.761688555951463586 C4(107,857) = 6856 Sum = 4615.569248474379482 Averaged sum = 0.4611418971400119374 logp*logq = 31.55765943777210491 -------------- ************************************* p = 107; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51291790066594.39567 -------------- Searches starting with [107,859]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(107,859) = 0.7169658159235703004 D2(107,859) = 0.06473587243958596968 C1(107,859) = 0.9478585212340135677 C2(107,859) = 1.442323908803826604 C3(107,859) = 4.311883201891296121 C4(107,859) = 6872 Sum = 4170.230639671794108 Averaged sum = 0.4166480806945543119 logp*logq = 31.56855181760965636 -------------- ************************************* p = 107; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52417451799442.79248 -------------- Searches starting with [107,863]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(107,863) = 0.7544209214006684641 D2(107,863) = 0.05019825501960754930 C1(107,863) = 1.030081198131402347 C2(107,863) = 2.185170315370741783 C3(107,863) = 4.894649950928208253 C4(107,863) = 6904 Sum = 3839.858361431733755 Averaged sum = 0.3836405596394978274 logp*logq = 31.59026070141452208 -------------- ************************************* p = 107; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56511047779659.60485 -------------- Searches starting with [107,877]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(107,877) = 0.8153446795964696117 D2(107,877) = 0.1085196956991112501 C1(107,877) = 1.188661921484306667 C2(107,877) = 1.946241372631129402 C3(107,877) = 6.250346566405628423 C4(107,877) = 7016 Sum = 3474.575544778677622 Averaged sum = 0.3471451238663880130 logp*logq = 31.66545727088946538 -------------- ************************************* p = 107; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57725584841102.70661 -------------- Searches starting with [107,881]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(107,881) = 0.6180758037808021866 D2(107,881) = 0.1136252693546313573 C1(107,881) = 0.8174710600620281092 C2(107,881) = 1.952151092452008526 C3(107,881) = 3.526648441993897247 C4(107,881) = 7048 Sum = 4430.829915741360140 Averaged sum = 0.4426845754562254111 logp*logq = 31.68672160262237823 -------------- ************************************* p = 107; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58340496507375.44155 -------------- Searches starting with [107,883]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(107,883) = 0.9628669997839714586 D2(107,883) = 0.1161991554700439900 C1(107,883) = 1.352844911383486023 C2(107,883) = 1.955125656988957647 C3(107,883) = 8.050775645259051031 C4(107,883) = 7064 Sum = 4045.674187341287615 Averaged sum = 0.4042036354622127700 logp*logq = 31.69731759091427835 -------------- ************************************* p = 107; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59585761305870.83403 -------------- Searches starting with [107,887]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(107,887) = 0.8153978247982098596 D2(107,887) = 0.1213906290472959509 C1(107,887) = 1.070540675113470919 C2(107,887) = 1.961115719318720191 C3(107,887) = 5.209697291338362202 C4(107,887) = 7096 Sum = 4383.332604142351884 Averaged sum = 0.4379391152105456972 logp*logq = 31.71843775719377046 -------------- ************************************* p = 107; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66129099981846.81727 -------------- Searches starting with [107,907]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(107,907) = 0.5811043673391927498 D2(107,907) = 0.07444888550780707083 C1(107,907) = 0.8089695491057902876 C2(107,907) = 2.121542360932821159 C3(107,907) = 3.480725124328821692 C4(107,907) = 7256 Sum = 4288.283837998975437 Averaged sum = 0.4284427852931337233 logp*logq = 31.82263000769106378 -------------- ************************************* p = 107; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67502958602451.97015 -------------- Searches starting with [107,911]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(107,911) = 2.119532809365963782 D2(107,911) = 0.05329354459438520056 C1(107,911) = 3.038661027046447158 C2(107,911) = 2.101373368521010558 C3(107,911) = 108.2994534663283250 C4(107,911) = 7288 Sum = 7095.800504720566625 Averaged sum = 0.7089420026696539739 logp*logq = 31.84319254399391227 -------------- ************************************* p = 107; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70317944507666.02414 -------------- Searches starting with [107,919]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(107,919) = 0.6349871709417886049 D2(107,919) = 0.01419475093141430829 C1(107,919) = 0.8267245814718950210 C2(107,919) = 2.064234272923643009 C3(107,919) = 3.577322881205144801 C4(107,919) = 7352 Sum = 4409.731169717725083 Averaged sum = 0.4405765980335423202 logp*logq = 31.88404813832742443 -------------- ************************************* p = 107; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73965536122796.37105 -------------- Searches starting with [107,929]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(107,929) = 0.7708461850199182231 D2(107,929) = 0.1382893474650570625 C1(107,929) = 1.020409389329468428 C2(107,929) = 1.557063945940530113 C3(107,929) = 4.822204116434116916 C4(107,929) = 7432 Sum = 4626.337403414514747 Averaged sum = 0.4622177443715171093 logp*logq = 31.93462037257739660 -------------- ************************************* p = 107; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76989313800090.40790 -------------- Searches starting with [107,937]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(107,937) = 0.8923228410167050553 D2(107,937) = 0.09355681974710622284 C1(107,937) = 1.262788735864122253 C2(107,937) = 2.071701706480311329 C3(107,937) = 7.007093644423710434 C4(107,937) = 7496 Sum = 4176.257722659890825 Averaged sum = 0.4172502470436497977 logp*logq = 31.97468774633413691 -------------- ************************************* p = 107; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78537185608583.01114 -------------- Searches starting with [107,941]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(107,941) = 0.7177768897648739269 D2(107,941) = 0.06820578455435570836 C1(107,941) = 0.9245545134598967323 C2(107,941) = 2.047274583909406976 C3(107,941) = 4.159710379151843857 C4(107,941) = 7528 Sum = 3903.597729534258414 Averaged sum = 0.3900087650648674607 logp*logq = 31.99459333057569407 -------------- ************************************* p = 107; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80904746852795.07016 -------------- Searches starting with [107,947]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(107,947) = 1.272566704413443877 D2(107,947) = 0.03322165732482424997 C1(107,947) = 1.907308975559272604 C2(107,947) = 2.013668953880572828 C3(107,947) = 18.92760664633945743 C4(107,947) = 7576 Sum = 4892.733885155215244 Averaged sum = 0.4888334384209426760 logp*logq = 32.02429361383154050 -------------- ************************************* p = 107; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83328047665745.20597 -------------- Searches starting with [107,953]-exponents: u = 22, v = 2 n_start has 51 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(107,953) = 0.6489322923536646936 D2(107,953) = 0.001174183363749565408 C1(107,953) = 0.8852319523147678317 C2(107,953) = 1.982991230582312935 C3(107,953) = 3.915015612667087728 C4(107,953) = 7624 Sum = 3929.030128089394425 Averaged sum = 0.3925497180626830278 logp*logq = 32.05380631509998607 -------------- ************************************* p = 107; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89204530391646.52589 -------------- Searches starting with [107,967]-exponents: u = 25, v = 2 n_start has 57 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(107,967) = 0.6684548488864766533 D2(107,967) = 0.05132339144211912699 C1(107,967) = 0.9886287548703656604 C2(107,967) = 1.975184647235823100 C3(107,967) = 4.591619760583759335 C4(107,967) = 7736 Sum = 4239.593599999083545 Averaged sum = 0.4235781396742015731 logp*logq = 32.12195294336880635 -------------- ************************************* p = 107; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90941926997985.59158 -------------- Searches starting with [107,971]-exponents: u = 25, v = 2 n_start has 57 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(107,971) = 0.6854075642067300240 D2(107,971) = 0.02598978374994018694 C1(107,971) = 0.8880446583486379762 C2(107,971) = 1.950721755614881482 C3(107,971) = 3.932030063203198613 C4(107,971) = 7768 Sum = 4269.695318134833526 Averaged sum = 0.4265856047691910806 logp*logq = 32.14124225387423121 -------------- ************************************* p = 107; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93597775970758.43613 -------------- Searches starting with [107,977]-exponents: u = 25, v = 2 n_start has 57 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(107,977) = 0.6905447683428166296 D2(107,977) = 0.1096474963386762595 C1(107,977) = 1.010075111690276270 C2(107,977) = 1.985183452244300695 C3(107,977) = 4.745980671036160804 C4(107,977) = 7816 Sum = 4208.609836548113547 Averaged sum = 0.4204825493603870064 logp*logq = 32.17002773813362708 -------------- ************************************* p = 107; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96314210007113.58260 -------------- Searches starting with [107,983]-exponents: u = 28, v = 2 n_start has 63 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(107,983) = 0.7685920316149711258 D2(107,983) = 0.06151856060317948484 C1(107,983) = 1.033932916640661669 C2(107,983) = 1.938315332210839978 C3(107,983) = 4.923803028800841276 C4(107,983) = 7864 Sum = 4687.523566704835824 Averaged sum = 0.4683308588974758542 logp*logq = 32.19863698362986508 -------------- ************************************* p = 107; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100032094631422.1106 -------------- Searches starting with [107,991]-exponents: u = 31, v = 2 n_start has 69 digits starting right neighbors generation We generated 227 left neighbors We generated 9783 right neighbors We generated 10009 non-negative rho_i D1(107,991) = 0.8383648171305410122 D2(107,991) = 0.006181646032201147689 C1(107,991) = 1.214767275506754000 C2(107,991) = 1.884647546416401435 C3(107,991) = 6.507043622580143368 C4(107,991) = 7928 Sum = 2545.647616081242623 Averaged sum = 0.2543358593347230116 logp*logq = 32.23651219673860958 -------------- ************************************* p = 107; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102893798803338.6163 -------------- Searches starting with [107,997]-exponents: u = 31, v = 2 n_start has 69 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(107,997) = 0.7811426818042089768 D2(107,997) = 0.05861667154954302075 C1(107,997) = 1.043233378135621232 C2(107,997) = 1.895542816937637526 C3(107,997) = 4.994914664969946220 C4(107,997) = 7976 Sum = 4495.346823091799931 Averaged sum = 0.4491304648907782927 logp*logq = 32.26471849265072623 -------------- ************************************* p = 109; q = 113; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4282577272.540217337 -------------- Searches starting with [109,113]-exponents: u = 1, v = 130 n_start has 269 digits starting right neighbors generation We generated 2561 left neighbors We generated 7449 right neighbors We generated 10009 non-negative rho_i D1(109,113) = 0.7922908049898653924 D2(109,113) = 0.0007136450967455429402 C1(109,113) = 1.043493397950113772 C2(109,113) = 1.087562566105001273 C3(109,113) = 5.017584027329131467 C4(109,113) = 904 Sum = 5062.874007406995966 Averaged sum = 0.5058321518040759283 logp*logq = 22.17782083179199003 -------------- ************************************* p = 109; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7407559199.252706233 -------------- Searches starting with [109,127]-exponents: u = 1, v = 30 n_start has 66 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(109,127) = 0.7130028610918668952 D2(109,127) = 0.05660755718571950366 C1(109,127) = 0.9550185619979126437 C2(109,127) = 1.477242293922169275 C3(109,127) = 4.376245787155786480 C4(109,127) = 1016 Sum = 4843.194809832811835 Averaged sum = 0.4838839853964244015 logp*logq = 22.72576682917927800 -------------- ************************************* p = 109; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8567541346.305372111 -------------- Searches starting with [109,131]-exponents: u = 1, v = 25 n_start has 55 digits starting right neighbors generation We generated 124 left neighbors We generated 9886 right neighbors We generated 10009 non-negative rho_i D1(109,131) = 0.9159370441421143237 D2(109,131) = 0.02037148909857778899 C1(109,131) = 1.272533315181281318 C2(109,131) = 1.507930171573696967 C3(109,131) = 7.149054531651255645 C4(109,131) = 1048 Sum = 5020.409575677142370 Averaged sum = 0.5015895269934201588 logp*logq = 22.87124663764891251 -------------- ************************************* p = 109; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10570596800.77046609 -------------- Searches starting with [109,137]-exponents: u = 1, v = 20 n_start has 45 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(109,137) = 0.8923063224694919098 D2(109,137) = 0.05575084761183423301 C1(109,137) = 1.259016818966048080 C2(109,137) = 1.616840860599987975 C3(109,137) = 7.001240845303257455 C4(109,137) = 1096 Sum = 4697.989273294292039 Averaged sum = 0.4693764884897883944 logp*logq = 23.08134209699155555 -------------- ************************************* p = 109; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11314306638.90100539 -------------- Searches starting with [109,139]-exponents: u = 1, v = 19 n_start has 43 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(109,139) = 0.6343751003067589612 D2(109,139) = 0.06569130582048747446 C1(109,139) = 0.8729049778724949594 C2(109,139) = 1.649161165744239870 C3(109,139) = 3.854597634569249260 C4(109,139) = 1112 Sum = 4506.905653322871693 Averaged sum = 0.4502853085545880401 logp*logq = 23.14933383610758402 -------------- ************************************* p = 109; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15673745763.64542376 -------------- Searches starting with [109,149]-exponents: u = 1, v = 15 n_start has 35 digits starting right neighbors generation We generated 61 left neighbors We generated 9949 right neighbors We generated 10009 non-negative rho_i D1(109,149) = 1.399408921332373938 D2(109,149) = 0.03251644849242705491 C1(109,149) = 2.179589155363476042 C2(109,149) = 1.729064683765548808 C3(109,149) = 29.05046267299029783 C4(109,149) = 1192 Sum = 1888.212157640472618 Averaged sum = 0.1886514294775174961 logp*logq = 23.47525290518557652 -------------- ************************************* p = 109; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16685487006.26659131 -------------- Searches starting with [109,151]-exponents: u = 1, v = 14 n_start has 33 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(109,151) = 0.7750184132969871688 D2(109,151) = 0.1324722945626813063 C1(109,151) = 1.050804572191355434 C2(109,151) = 1.831131410357134297 C3(109,151) = 5.074609500133960036 C4(109,151) = 1208 Sum = 4954.560608325405336 Averaged sum = 0.4950105513363378295 logp*logq = 23.53780513699267894 -------------- ************************************* p = 109; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20032224742.00501082 -------------- Searches starting with [109,157]-exponents: u = 1, v = 12 n_start has 29 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(109,157) = 1.076150032870473262 D2(109,157) = 0.007864233391358093611 C1(109,157) = 1.439763508750974800 C2(109,157) = 1.783564778598779144 C3(109,157) = 9.257843690508941845 C4(109,157) = 1256 Sum = 5442.054061462179007 Averaged sum = 0.5437160616906962741 logp*logq = 23.72060805095077615 -------------- ************************************* p = 109; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23885901278.56424337 -------------- Searches starting with [109,163]-exponents: u = 1, v = 11 n_start has 27 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(109,163) = 0.8867706852326695185 D2(109,163) = 0.01331335964469375843 C1(109,163) = 1.263586262026068895 C2(109,163) = 1.838274633226863916 C3(109,163) = 7.050866211777663307 C4(109,163) = 1304 Sum = 4672.856431223088660 Averaged sum = 0.4668654642045247936 logp*logq = 23.89655421715907994 -------------- ************************************* p = 109; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26763087236.73771035 -------------- Searches starting with [109,167]-exponents: u = 1, v = 10 n_start has 25 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(109,167) = 1.573717991929774312 D2(109,167) = 0.08221480765238934937 C1(109,167) = 2.552638980423353518 C2(109,167) = 1.012656149410342980 C3(109,167) = 51.71071232554612118 C4(109,167) = 1336 Sum = 4963.732057716193700 Averaged sum = 0.4959268715871908982 logp*logq = 24.01028943314320542 -------------- ************************************* p = 109; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31582961161.17608960 -------------- Searches starting with [109,173]-exponents: u = 1, v = 10 n_start has 25 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(109,173) = 0.6912616442488118399 D2(109,173) = 0.09063300279899626004 C1(109,173) = 0.9059607655439005097 C2(109,173) = 1.321745977717501009 C3(109,173) = 4.056666659746333340 C4(109,173) = 1384 Sum = 4420.878499339870623 Averaged sum = 0.4416903286382126708 logp*logq = 24.17588360835640242 -------------- ************************************* p = 109; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37061013854.38986396 -------------- Searches starting with [109,179]-exponents: u = 1, v = 9 n_start has 23 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(109,179) = 0.6858918334730778710 D2(109,179) = 0.09023652882709952060 C1(109,179) = 1.034122698146924497 C2(109,179) = 1.570939624917684349 C3(109,179) = 4.945430757061629503 C4(109,179) = 1432 Sum = 4502.332937565468129 Averaged sum = 0.4498284481532089248 logp*logq = 24.33583141453654596 -------------- ************************************* p = 109; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39044116591.19183230 -------------- Searches starting with [109,181]-exponents: u = 1, v = 9 n_start has 23 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(109,181) = 1.339177946455151159 D2(109,181) = 0.03264234013730259906 C1(109,181) = 1.896591817151244301 C2(109,181) = 1.984978011473524201 C3(109,181) = 18.75761460823633726 C4(109,181) = 1448 Sum = 6282.891229928872509 Averaged sum = 0.6277241712387723557 logp*logq = 24.38795803840342224 -------------- ************************************* p = 109; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50248263373.39498562 -------------- Searches starting with [109,191]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(109,191) = 1.300248047376498745 D2(109,191) = 0.05932821066846768253 C1(109,191) = 1.733891380958415347 C2(109,191) = 1.587556494301086437 C3(109,191) = 14.58670466692803426 C4(109,191) = 1528 Sum = 5279.934830157246614 Averaged sum = 0.5275187161711706079 logp*logq = 24.64024182355496182 -------------- ************************************* p = 109; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52764817616.90878384 -------------- Searches starting with [109,193]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(109,193) = 0.6392360721668895750 D2(109,193) = 0.0006633262456528635844 C1(109,193) = 0.8973218415281281169 C2(109,193) = 2.036438974979443039 C3(109,193) = 4.002856613256088929 C4(109,193) = 1544 Sum = 4602.228256532282964 Averaged sum = 0.4598089975554284108 logp*logq = 24.68911047254702704 -------------- ************************************* p = 109; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58095068878.56742333 -------------- Searches starting with [109,197]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(109,197) = 0.8317493266375659678 D2(109,197) = 0.04941967972028229902 C1(109,197) = 1.416874547464962811 C2(109,197) = 1.207645173644966891 C3(109,197) = 8.936028355778265202 C4(109,197) = 1576 Sum = 4802.355981638549028 Averaged sum = 0.4798037747665649942 logp*logq = 24.78534662420007777 -------------- ************************************* p = 109; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60914335586.16120423 -------------- Searches starting with [109,199]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(109,199) = 0.7361046544990111546 D2(109,199) = 0.04519212557429060841 C1(109,199) = 1.036779765840306637 C2(109,199) = 1.784740993211442616 C3(109,199) = 4.965783816442001242 C4(109,199) = 1592 Sum = 4540.112698130755278 Averaged sum = 0.4536030270886957016 logp*logq = 24.83273437946455609 -------------- ************************************* p = 109; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80171050512.27226930 -------------- Searches starting with [109,211]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(109,211) = 0.7334270618962929777 D2(109,211) = 0.01122489685806433299 C1(109,211) = 1.279082752861671019 C2(109,211) = 1.267955378664000335 C3(109,211) = 7.221796256997181102 C4(109,211) = 1688 Sum = 4851.264318259111236 Averaged sum = 0.4846902106363384190 logp*logq = 25.10742832047376243 -------------- ************************************* p = 109; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103923806615.6580993 -------------- Searches starting with [109,223]-exponents: u = 8, v = 6 n_start has 31 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(109,223) = 0.7738692977998800062 D2(109,223) = 0.1572573931075950643 C1(109,223) = 1.057358577859121973 C2(109,223) = 1.791117677835919193 C3(109,223) = 5.126279915235766752 C4(109,223) = 1784 Sum = 4293.965533290081826 Averaged sum = 0.4290104439294716581 logp*logq = 25.36692383888863554 -------------- ************************************* p = 109; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112963181565.3494862 -------------- Searches starting with [109,227]-exponents: u = 15, v = 6 n_start has 45 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(109,227) = 0.7716547183228433358 D2(109,227) = 0.1284853394671082765 C1(109,227) = 1.101975736621379737 C2(109,227) = 1.784906336015629440 C3(109,227) = 5.492293155890456576 C4(109,227) = 1816 Sum = 4166.357659765783967 Averaged sum = 0.4162611309587155527 logp*logq = 25.45032777571033454 -------------- ************************************* p = 109; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117708870533.8607067 -------------- Searches starting with [109,229]-exponents: u = 22, v = 6 n_start has 59 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(109,229) = 0.7453718049060315984 D2(109,229) = 0.09256541763940581554 C1(109,229) = 1.118105624009084681 C2(109,229) = 1.750749690168176010 C3(109,229) = 5.630949926125081959 C4(109,229) = 1832 Sum = 4420.316469495422697 Averaged sum = 0.4416341761909703963 logp*logq = 25.49148021399608182 -------------- ************************************* p = 109; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 127670390454.5758170 -------------- Searches starting with [109,233]-exponents: u = 36, v = 6 n_start has 88 digits starting right neighbors generation We generated 751 left neighbors We generated 9259 right neighbors We generated 10009 non-negative rho_i D1(109,233) = 0.6645470134751758874 D2(109,233) = 0.03046967594429234146 C1(109,233) = 0.8783686344962329425 C2(109,233) = 1.692133926498272269 C3(109,233) = 3.887288650457148675 C4(109,233) = 1864 Sum = 4591.945287329556048 Averaged sum = 0.4587816252702124136 logp*logq = 25.57271770508507582 -------------- ************************************* p = 109; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 143844067678.5621769 -------------- Searches starting with [109,239]-exponents: u = 7, v = 239 n_start has 583 digits --- performed 5000 steps in the continued fraction search [109,239]-exponents: u = 255, v = 8 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,239) = 0.6242159825023882557 D2(109,239) = 0.2826925499209229461 C1(109,239) = 0.7955582444038966418 C2(109,239) = 1.352569157742537517 C3(109,239) = 3.420238339996157187 C4(109,239) = 1912 Sum = 5483.923068193520239 Averaged sum = 0.5484471515345054744 logp*logq = 25.69199568645898670 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,239) = 0.6242159825023882557 D2(109,239) = 0.2826925499209229461 C1(109,239) = 0.7955582444038966418 C2(109,239) = 1.352569157742537517 C3(109,239) = 3.420238339996157187 C4(109,239) = 1912 Sum = 5483.923068193520239 Averaged sum = 0.5484471515345054744 logp*logq = 25.69199568645898670 -------------- ************************************* p = 109; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149578994029.7708084 -------------- Searches starting with [109,241]-exponents: u = 7, v = 65 n_start has 170 digits starting right neighbors generation We generated 2871 left neighbors We generated 7139 right neighbors We generated 10009 non-negative rho_i D1(109,241) = 0.7280238090280417934 D2(109,241) = 0.01647773434218157658 C1(109,241) = 0.9500285798179550373 C2(109,241) = 1.608021040658253747 C3(109,241) = 4.342621142484302097 C4(109,241) = 1928 Sum = 4373.522084938636727 Averaged sum = 0.4369589454429650042 logp*logq = 25.73109047838828585 -------------- ************************************* p = 109; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 181010693097.2727186 -------------- Searches starting with [109,251]-exponents: u = 7, v = 11 n_start has 41 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(109,251) = 1.003163086003254830 D2(109,251) = 0.08604999126170918692 C1(109,251) = 1.393716026431078463 C2(109,251) = 1.805183161852048718 C3(109,251) = 8.621806619255828050 C4(109,251) = 2008 Sum = 5196.531233548242142 Averaged sum = 0.5191858560843483006 logp*logq = 25.92182194435269199 -------------- ************************************* p = 109; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 202224911698.7055783 -------------- Searches starting with [109,257]-exponents: u = 13, v = 5 n_start has 39 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(109,257) = 0.7113710442494427648 D2(109,257) = 0.1126622693155893544 C1(109,257) = 1.140065826024275168 C2(109,257) = 1.337913456402473234 C3(109,257) = 5.825369761182920155 C4(109,257) = 2056 Sum = 4716.042905186481745 Averaged sum = 0.4711802283131663248 logp*logq = 26.03264633920157742 -------------- ************************************* p = 109; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 225348294609.1840515 -------------- Searches starting with [109,263]-exponents: u = 19, v = 5 n_start has 51 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(109,263) = 0.8822734699015934462 D2(109,263) = 0.04820121320206965846 C1(109,263) = 1.345433922934611872 C2(109,263) = 1.801474168873901126 C3(109,263) = 8.001780163672884288 C4(109,263) = 2104 Sum = 3906.838846388648652 Averaged sum = 0.3903325853120839896 logp*logq = 26.14091301831173957 -------------- ************************************* p = 109; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 250503162559.1790195 -------------- Searches starting with [109,269]-exponents: u = 31, v = 5 n_start has 76 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(109,269) = 0.6963707453054442878 D2(109,269) = 0.06425011011313196267 C1(109,269) = 1.009823906263467705 C2(109,269) = 1.707124575223501951 C3(109,269) = 4.763129660354928067 C4(109,269) = 2152 Sum = 4278.121336728899781 Averaged sum = 0.4274274489688180419 logp*logq = 26.24673738237837876 -------------- ************************************* p = 109; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 259361393129.0691090 -------------- Searches starting with [109,271]-exponents: u = 37, v = 5 n_start has 88 digits starting right neighbors generation We generated 678 left neighbors We generated 9332 right neighbors We generated 10009 non-negative rho_i D1(109,271) = 0.6344665195503398948 D2(109,271) = 0.02530627168474308820 C1(109,271) = 0.8382645610202085425 C2(109,271) = 1.669668885936527291 C3(109,271) = 3.653633835438204379 C4(109,271) = 2168 Sum = 4672.637734390117548 Averaged sum = 0.4668436141862441350 logp*logq = 26.28148826633001243 -------------- ************************************* p = 109; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287423512201.6225827 -------------- Searches starting with [109,277]-exponents: u = 199, v = 5 n_start has 418 digits --- performed 5000 steps in the continued fraction search [109,277]-exponents: u = 44, v = 107 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,277) = 0.6934737500392715161 D2(109,277) = 0.1373520817564214985 C1(109,277) = 0.8959779012437804990 C2(109,277) = 1.329062277017517877 C3(109,277) = 3.994549888889797916 C4(109,277) = 2216 Sum = 5242.551057947013231 Averaged sum = 0.5243075365483561587 logp*logq = 26.38422261727160055 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,277) = 0.6934737500392715161 D2(109,277) = 0.1373520817564214985 C1(109,277) = 0.8959779012437804990 C2(109,277) = 1.329062277017517877 C3(109,277) = 3.994549888889797916 C4(109,277) = 2216 Sum = 5242.551057947013231 Averaged sum = 0.5243075365483561587 logp*logq = 26.38422261727160055 -------------- ************************************* p = 109; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307420771469.1445862 -------------- Searches starting with [109,281]-exponents: u = 6, v = 104 n_start has 267 digits --- performed 5000 steps in the continued fraction search [109,281]-exponents: u = 34, v = 27 --- starting right neighbors generation We generated 6599 left neighbors We generated 3411 right neighbors We generated 10009 non-negative rho_i D1(109,281) = 0.6627550072770086747 D2(109,281) = 0.003102468187992876333 C1(109,281) = 0.8728867331504861536 C2(109,281) = 1.447076358019505184 C3(109,281) = 3.854488931705511514 C4(109,281) = 2248 Sum = 4963.030933610032356 Averaged sum = 0.4958568222210043317 logp*logq = 26.45148323723567200 -------------- ************************************* p = 109; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 317821374817.5393615 -------------- Searches starting with [109,283]-exponents: u = 6, v = 59 n_start has 157 digits starting right neighbors generation We generated 2212 left neighbors We generated 7798 right neighbors We generated 10009 non-negative rho_i D1(109,283) = 0.9364738732466408887 D2(109,283) = 0.02276298570912840646 C1(109,283) = 1.276056200440024067 C2(109,283) = 1.557790639703433146 C3(109,283) = 7.188090135803285876 C4(109,283) = 2264 Sum = 4255.834366607289927 Averaged sum = 0.4252007559803466807 logp*logq = 26.48475534749569221 -------------- ************************************* p = 109; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 374053899395.5876619 -------------- Searches starting with [109,293]-exponents: u = 6, v = 14 n_start has 47 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(109,293) = 0.8102562968847338627 D2(109,293) = 0.1039418890189086039 C1(109,293) = 1.209692310857403646 C2(109,293) = 1.798999247475256343 C3(109,293) = 6.487294174007982751 C4(109,293) = 2344 Sum = 4122.811188348146069 Averaged sum = 0.4119103994752868487 logp*logq = 26.64766574000820858 -------------- ************************************* p = 109; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 465619704203.0658129 -------------- Searches starting with [109,307]-exponents: u = 6, v = 9 n_start has 35 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(109,307) = 0.6924058885433717047 D2(109,307) = 0.07357311033407237540 C1(109,307) = 1.138969510252019743 C2(109,307) = 1.915533207751482984 C3(109,307) = 5.815506465731005535 C4(109,307) = 2456 Sum = 4702.943961674037480 Averaged sum = 0.4698715118067776481 logp*logq = 26.86663505249193906 -------------- ************************************* p = 109; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 494773205089.4064782 -------------- Searches starting with [109,311]-exponents: u = 11, v = 4 n_start has 33 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(109,311) = 0.7366001284384754513 D2(109,311) = 0.06999500286503914414 C1(109,311) = 1.211423827528663224 C2(109,311) = 1.316864193493032537 C3(109,311) = 6.504680282637425513 C4(109,311) = 2488 Sum = 4281.535848985011923 Averaged sum = 0.4277685931646530046 logp*logq = 26.92736532298589945 -------------- ************************************* p = 109; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 509878433619.3135402 -------------- Searches starting with [109,313]-exponents: u = 11, v = 4 n_start has 33 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(109,313) = 0.6555445219020197647 D2(109,313) = 0.05625883258106292185 C1(109,313) = 0.9159162202672681727 C2(109,313) = 1.936855344429646239 C3(109,313) = 4.119574830123176453 C4(109,313) = 2504 Sum = 4204.804947194693903 Averaged sum = 0.4201024025571679391 logp*logq = 26.95743816879889649 -------------- ************************************* p = 109; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 541176678896.5763463 -------------- Searches starting with [109,317]-exponents: u = 11, v = 4 n_start has 33 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(109,317) = 0.7250624434906236271 D2(109,317) = 0.02300466339655513864 C1(109,317) = 1.065110667776489240 C2(109,317) = 1.906384108333821111 C3(109,317) = 5.188075366003205291 C4(109,317) = 2536 Sum = 4282.918163729220149 Averaged sum = 0.4279067003426136626 logp*logq = 27.01701164084483940 -------------- ************************************* p = 109; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 662811022634.0569030 -------------- Searches starting with [109,331]-exponents: u = 21, v = 4 n_start has 53 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(109,331) = 0.8057748262478266177 D2(109,331) = 0.03677959185332315086 C1(109,331) = 1.129274390056969114 C2(109,331) = 1.798102856748720540 C3(109,331) = 5.729005400223920102 C4(109,331) = 2648 Sum = 4214.778555205644707 Averaged sum = 0.4210988665406778606 logp*logq = 27.21975575276798387 -------------- ************************************* p = 109; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 721092838674.2209059 -------------- Searches starting with [109,337]-exponents: u = 31, v = 4 n_start has 74 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(109,337) = 0.5757970492106935439 D2(109,337) = 0.04179701758586436989 C1(109,337) = 0.7874760444855057402 C2(109,337) = 1.718225890213622097 C3(109,337) = 3.377775717625373063 C4(109,337) = 2696 Sum = 4583.927920349812343 Averaged sum = 0.4579806094864434352 logp*logq = 27.30403372970654103 -------------- ************************************* p = 109; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 827121484391.6618639 -------------- Searches starting with [109,347]-exponents: u = 96, v = 4 n_start has 206 digits starting right neighbors generation We generated 3371 left neighbors We generated 6639 right neighbors We generated 10009 non-negative rho_i D1(109,347) = 0.5793080383195737654 D2(109,347) = 0.003958005368847443358 C1(109,347) = 0.7754911396980524599 C2(109,347) = 1.463536492756200318 C3(109,347) = 3.315777429680797633 C4(109,347) = 2776 Sum = 4440.558906344273188 Averaged sum = 0.4436565996947020869 logp*logq = 27.44121741887414987 -------------- ************************************* p = 109; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 849725558993.1352400 -------------- Searches starting with [109,349]-exponents: u = 156, v = 4 n_start has 329 digits --- performed 5000 steps in the continued fraction search [109,349]-exponents: u = 74, v = 32 --- starting right neighbors generation We generated 8569 left neighbors We generated 1441 right neighbors We generated 10009 non-negative rho_i D1(109,349) = 0.8905367032608726163 D2(109,349) = 0.001129249886238606836 C1(109,349) = 1.161430577611244722 C2(109,349) = 1.358309641966047759 C3(109,349) = 6.020958092343633684 C4(109,349) = 2792 Sum = 5074.744986258523120 Averaged sum = 0.5070181822618166770 logp*logq = 27.46817926252367829 -------------- ************************************* p = 109; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 896390960914.4880610 -------------- Searches starting with [109,353]-exponents: u = 5, v = 511 n_start has 1313 digits --- performed 5000 steps in the continued fraction search [109,353]-exponents: u = 224, v = 328 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,353) = 0.6362014742801804648 D2(109,353) = 0.3923372138671863870 C1(109,353) = 0.7884312200725852802 C2(109,353) = 1.387285297057962679 C3(109,353) = 3.382766463708539087 C4(109,353) = 2824 Sum = 5857.826741201834918 Averaged sum = 0.5858412582460080926 logp*logq = 27.52164249505894141 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,353) = 0.6362014742801804648 D2(109,353) = 0.3923372138671863870 C1(109,353) = 0.7884312200725852802 C2(109,353) = 1.387285297057962679 C3(109,353) = 3.382766463708539087 C4(109,353) = 2824 Sum = 5857.826741201834918 Averaged sum = 0.5858412582460080926 logp*logq = 27.52164249505894141 -------------- ************************************* p = 109; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 970145626614.5026888 -------------- Searches starting with [109,359]-exponents: u = 5, v = 59 n_start has 161 digits starting right neighbors generation We generated 1989 left neighbors We generated 8021 right neighbors We generated 10009 non-negative rho_i D1(109,359) = 0.6864262743848424841 D2(109,359) = 0.01430903593027275794 C1(109,359) = 0.8973474695169204241 C2(109,359) = 1.524021503288926791 C3(109,359) = 4.003015184330655897 C4(109,359) = 2872 Sum = 4715.296938662234592 Averaged sum = 0.4711056987373598353 logp*logq = 27.60071202770579454 -------------- ************************************* p = 109; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1075822713478.268249 -------------- Searches starting with [109,367]-exponents: u = 5, v = 27 n_start has 80 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(109,367) = 0.6404361242410080337 D2(109,367) = 0.06172500005027114867 C1(109,367) = 0.8522869567209674753 C2(109,367) = 1.715301199213498471 C3(109,367) = 3.733689699428318640 C4(109,367) = 2936 Sum = 4595.687605366330480 Averaged sum = 0.4591555205681217384 logp*logq = 27.70410679966759053 -------------- ************************************* p = 109; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1160862499077.177000 -------------- Searches starting with [109,373]-exponents: u = 5, v = 19 n_start has 60 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(109,373) = 0.6853918561435348130 D2(109,373) = 0.07150080989033633537 C1(109,373) = 0.9292876045206672223 C2(109,373) = 1.802683456591635355 C3(109,373) = 4.205605913729146286 C4(109,373) = 2984 Sum = 4646.640476009699630 Averaged sum = 0.4642462259975721480 logp*logq = 27.78018437844981363 -------------- ************************************* p = 109; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1251104530369.592786 -------------- Searches starting with [109,379]-exponents: u = 5, v = 15 n_start has 49 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(109,379) = 0.9700713883289974535 D2(109,379) = 0.01576678556726580799 C1(109,379) = 1.311287916636258132 C2(109,379) = 1.855151015062831961 C3(109,379) = 7.590396840650195348 C4(109,379) = 3032 Sum = 4586.029844589133588 Averaged sum = 0.4581906129072967917 logp*logq = 27.85504790137230750 -------------- ************************************* p = 109; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1314268495927.221147 -------------- Searches starting with [109,383]-exponents: u = 5, v = 11 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(109,383) = 0.9394003468785111589 D2(109,383) = 0.05216346281000309925 C1(109,383) = 1.280042826734868744 C2(109,383) = 1.893389289361550144 C3(109,383) = 7.232521397219647629 C4(109,383) = 3064 Sum = 5209.292565498699389 Averaged sum = 0.5204608417922569077 logp*logq = 27.90430134991747123 -------------- ************************************* p = 109; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1413691273780.560865 -------------- Searches starting with [109,389]-exponents: u = 5, v = 11 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(109,389) = 1.588631225909348345 D2(109,389) = 0.1128141637678757938 C1(109,389) = 2.157382984437619708 C2(109,389) = 1.956765948463033742 C3(109,389) = 28.07023855317440126 C4(109,389) = 3112 Sum = 5175.149622442319028 Averaged sum = 0.5170496175884023407 logp*logq = 27.97722532418986487 -------------- ************************************* p = 109; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1555357903029.007636 -------------- Searches starting with [109,397]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(109,397) = 0.7719335141717917099 D2(109,397) = 0.1064804781099889058 C1(109,397) = 1.019057683626768694 C2(109,397) = 1.869511533400015119 C3(109,397) = 4.831600492188134230 C4(109,397) = 3176 Sum = 4479.180640459513693 Averaged sum = 0.4475153002757032364 logp*logq = 28.07272679779598955 -------------- ************************************* p = 109; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1630256121499.372832 -------------- Searches starting with [109,401]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(109,401) = 0.9893416890954885158 D2(109,401) = 0.08414364389613411008 C1(109,401) = 1.477076283770664525 C2(109,401) = 1.849127163859637376 C3(109,401) = 9.807488818111725395 C4(109,401) = 3208 Sum = 3792.401425690305964 Averaged sum = 0.3788991333490164815 logp*logq = 28.11975824815784882 -------------- ************************************* p = 109; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1788556277799.977443 -------------- Searches starting with [109,409]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(109,409) = 0.6248394593934859543 D2(109,409) = 0.03697263030302653545 C1(109,409) = 0.8717349969610887167 C2(109,409) = 1.532805733068258531 C3(109,409) = 3.847633037568077718 C4(109,409) = 3272 Sum = 4461.794130069812729 Averaged sum = 0.4457782126156272084 logp*logq = 28.21242986163070241 -------------- ************************************* p = 109; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2003171826186.641658 -------------- Searches starting with [109,419]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(109,419) = 0.7926225031756749649 D2(109,419) = 0.01294894887496416075 C1(109,419) = 1.303559081123113152 C2(109,419) = 1.256534002217199585 C3(109,419) = 7.500256797148360433 C4(109,419) = 3352 Sum = 4412.732929150656382 Averaged sum = 0.4408765040614103688 logp*logq = 28.32575295334965254 -------------- ************************************* p = 109; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2048425873195.153469 -------------- Searches starting with [109,421]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(109,421) = 0.6427363421601274450 D2(109,421) = 0.01922310109798104325 C1(109,421) = 1.057054010242992884 C2(109,421) = 1.381755369732687443 C3(109,421) = 5.123867152452119036 C4(109,421) = 3368 Sum = 4219.457356252498698 Averaged sum = 0.4215663259319111497 logp*logq = 28.34809274738412957 -------------- ************************************* p = 109; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2286911519767.594635 -------------- Searches starting with [109,431]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(109,431) = 0.6952988312638804504 D2(109,431) = 0.05515476375299511663 C1(109,431) = 0.9442281017840926303 C2(109,431) = 1.716758322023898487 C3(109,431) = 4.303859598466702009 C4(109,431) = 3448 Sum = 4623.433652031967119 Averaged sum = 0.4619276303358944069 logp*logq = 28.45822334188129280 -------------- ************************************* p = 109; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2337124827990.398582 -------------- Searches starting with [109,433]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(109,433) = 1.065933954831654152 D2(109,433) = 0.06175439724545739199 C1(109,433) = 1.598981340051130035 C2(109,433) = 1.724115768346136760 C3(109,433) = 11.84110952288548376 C4(109,433) = 3464 Sum = 3338.196219433190626 Averaged sum = 0.3335194544343281672 logp*logq = 28.47994258383304414 -------------- ************************************* p = 109; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2492988820128.434972 -------------- Searches starting with [109,439]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(109,439) = 0.6091310887981955496 D2(109,439) = 0.08901714047186910461 C1(109,439) = 0.8222064520489683257 C2(109,439) = 1.893223066979313771 C3(109,439) = 3.564061996010495893 C4(109,439) = 3512 Sum = 4498.362606215041995 Averaged sum = 0.4494317720266801874 logp*logq = 28.54450343595467293 -------------- ************************************* p = 109; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2601360350649.725506 -------------- Searches starting with [109,443]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(109,443) = 0.7138666383735664903 D2(109,443) = 0.09635003703846630725 C1(109,443) = 1.144207975849226756 C2(109,443) = 1.380708142339331770 C3(109,443) = 5.862786950263017584 C4(109,443) = 3544 Sum = 4278.574244499157450 Averaged sum = 0.4274726990207970277 logp*logq = 28.58705563591677725 -------------- ************************************* p = 109; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2770832385409.586902 -------------- Searches starting with [109,449]-exponents: u = 13, v = 3 n_start has 35 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(109,449) = 0.5995267719031270318 D2(109,449) = 0.08645359948849522930 C1(109,449) = 0.8183973417954587041 C2(109,449) = 2.023169349797874439 C3(109,449) = 3.543139104386200384 C4(109,449) = 3592 Sum = 4239.448187260926177 Averaged sum = 0.4235636114757644297 logp*logq = 28.65016889113453426 -------------- ************************************* p = 109; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3010178379409.052939 -------------- Searches starting with [109,457]-exponents: u = 13, v = 3 n_start has 35 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(109,457) = 0.9910538560131064941 D2(109,457) = 0.02054997643731673134 C1(109,457) = 1.388934776445531599 C2(109,457) = 1.961207128807505732 C3(109,457) = 8.558322265255477788 C4(109,457) = 3656 Sum = 4941.677010247046666 Averaged sum = 0.4937233500096959402 logp*logq = 28.73302045519553792 -------------- ************************************* p = 109; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3135795230476.726283 -------------- Searches starting with [109,461]-exponents: u = 13, v = 3 n_start has 35 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(109,461) = 0.9061461496708481360 D2(109,461) = 0.1198718093529093832 C1(109,461) = 1.400554506050583479 C2(109,461) = 1.236364431189039363 C3(109,461) = 8.713425713182312110 C4(109,461) = 3688 Sum = 4016.992195856377401 Averaged sum = 0.4013380153718031173 logp*logq = 28.77390391988070148 -------------- ************************************* p = 109; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3200130854367.362269 -------------- Searches starting with [109,463]-exponents: u = 17, v = 3 n_start has 43 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(109,463) = 0.7452915141914334918 D2(109,463) = 0.1288605733742595501 C1(109,463) = 1.151901187306406617 C2(109,463) = 1.356879456742768936 C3(109,463) = 5.932920749651140510 C4(109,463) = 3704 Sum = 4298.406317358791799 Averaged sum = 0.4294541230251565390 logp*logq = 28.79421281688797516 -------------- ************************************* p = 109; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3331916388556.987781 -------------- Searches starting with [109,467]-exponents: u = 17, v = 3 n_start has 43 digits **************************************************** Computing .... elapsed time = 16 minutes **************************************************** starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(109,467) = 0.6894456902268361327 D2(109,467) = 0.1108556604957424484 C1(109,467) = 0.9824244351407890599 C2(109,467) = 1.951084615804803836 C3(109,467) = 4.565614129952596551 C4(109,467) = 3736 Sum = 3996.063000288577014 Averaged sum = 0.3992469777488837060 logp*logq = 28.83456874644800629 -------------- ************************************* p = 109; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3753067146779.448013 -------------- Searches starting with [109,479]-exponents: u = 21, v = 3 n_start has 51 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(109,479) = 0.8047833682476096920 D2(109,479) = 0.1042870583664932020 C1(109,479) = 1.191266178574330592 C2(109,479) = 1.873003588378837786 C3(109,479) = 6.305131851581760822 C4(109,479) = 3832 Sum = 4008.583340458829280 Averaged sum = 0.4004978859485292517 logp*logq = 28.95359452741603818 -------------- ************************************* p = 109; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4056330197314.268264 -------------- Searches starting with [109,487]-exponents: u = 29, v = 3 n_start has 68 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(109,487) = 0.7371742045180746210 D2(109,487) = 0.09284802919319036553 C1(109,487) = 1.013268739797980807 C2(109,487) = 1.805274463914256108 C3(109,487) = 4.788559769246701299 C4(109,487) = 3896 Sum = 4344.530793244200905 Averaged sum = 0.4340624231435908587 logp*logq = 29.03129978849809667 -------------- ************************************* p = 109; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4215018246343.174822 -------------- Searches starting with [109,491]-exponents: u = 33, v = 3 n_start has 76 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(109,491) = 0.6998351045790502663 D2(109,491) = 0.02935041134085959060 C1(109,491) = 0.9544544489586131890 C2(109,491) = 1.743424633698897429 C3(109,491) = 4.372431535685370584 C4(109,491) = 3928 Sum = 4511.471185794863057 Averaged sum = 0.4507414512733402994 logp*logq = 29.06967503628003759 -------------- ************************************* p = 109; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4547034828590.738603 -------------- Searches starting with [109,499]-exponents: u = 45, v = 3 n_start has 100 digits starting right neighbors generation We generated 565 left neighbors We generated 9445 right neighbors We generated 10009 non-negative rho_i D1(109,499) = 0.8531543621342896560 D2(109,499) = 0.02638191973838121811 C1(109,499) = 1.192006566737449491 C2(109,499) = 1.655155756868578954 C3(109,499) = 6.312351781503211248 C4(109,499) = 3992 Sum = 4978.626568306417254 Averaged sum = 0.4974149833456306578 logp*logq = 29.14549645042775584 -------------- ************************************* p = 109; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4720578731958.873583 -------------- Searches starting with [109,503]-exponents: u = 57, v = 3 n_start has 125 digits starting right neighbors generation We generated 856 left neighbors We generated 9154 right neighbors We generated 10009 non-negative rho_i D1(109,503) = 0.6494117119526068869 D2(109,503) = 0.03836788059907747965 C1(109,503) = 0.8936006748429672065 C2(109,503) = 1.604768404654086782 C3(109,503) = 3.979898744996140064 C4(109,503) = 4024 Sum = 4602.134174098338767 Averaged sum = 0.4597995977718392214 logp*logq = 29.18295252071284031 -------------- ************************************* p = 109; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4990622680346.728371 -------------- Searches starting with [109,509]-exponents: u = 89, v = 3 n_start has 190 digits starting right neighbors generation We generated 2160 left neighbors We generated 7850 right neighbors We generated 10009 non-negative rho_i D1(109,509) = 0.6116909824439256499 D2(109,509) = 0.01330220333116254732 C1(109,509) = 0.8202941072355633133 C2(109,509) = 1.492963595151848451 C3(109,509) = 3.553542364135553296 C4(109,509) = 4072 Sum = 4749.493003536605608 Averaged sum = 0.4745222303463488468 logp*logq = 29.23858180354752202 -------------- ************************************* p = 109; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5567124062003.054675 -------------- Searches starting with [109,521]-exponents: u = 4, v = 2522 n_start has 6861 digits --- performed 5000 steps in the continued fraction search [109,521]-exponents: u = 3173, v = 144 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,521) = 0.6856044722205164078 D2(109,521) = 0.5947049335034928051 C1(109,521) = 0.8161016260008524862 C2(109,521) = 1.456953882684826835 C3(109,521) = 3.530588437374208448 C4(109,521) = 4168 Sum = 6503.099011788358581 Averaged sum = 0.6503749386727031284 logp*logq = 29.34789971013453517 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,521) = 0.6856044722205164078 D2(109,521) = 0.5947049335034928051 C1(109,521) = 0.8161016260008524862 C2(109,521) = 1.456953882684826835 C3(109,521) = 3.530588437374208448 C4(109,521) = 4168 Sum = 6503.099011788358581 Averaged sum = 0.6503749386727031284 logp*logq = 29.34789971013453517 -------------- ************************************* p = 109; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5668095264717.517473 -------------- Searches starting with [109,523]-exponents: u = 4, v = 350 n_start has 960 digits --- performed 5000 steps in the continued fraction search [109,523]-exponents: u = 207, v = 187 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,523) = 0.6658341550637331772 D2(109,523) = 0.2954722354969398610 C1(109,523) = 0.8332826497872247318 C2(109,523) = 1.386538752372961370 C3(109,523) = 3.625606570791776732 C4(109,523) = 4184 Sum = 5605.750521658558266 Averaged sum = 0.5606311152773835650 logp*logq = 29.36587424508177882 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,523) = 0.6658341550637331772 D2(109,523) = 0.2954722354969398610 C1(109,523) = 0.8332826497872247318 C2(109,523) = 1.386538752372961370 C3(109,523) = 3.625606570791776732 C4(109,523) = 4184 Sum = 5605.750521658558266 Averaged sum = 0.5606311152773835650 logp*logq = 29.36587424508177882 -------------- ************************************* p = 109; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6643228663866.400131 -------------- Searches starting with [109,541]-exponents: u = 4, v = 38 n_start has 113 digits starting right neighbors generation We generated 750 left neighbors We generated 9260 right neighbors We generated 10009 non-negative rho_i D1(109,541) = 0.9190485662220043126 D2(109,541) = 0.003910071992395140635 C1(109,541) = 1.273546589068797993 C2(109,541) = 1.631587045993700076 C3(109,541) = 7.160260423264980106 C4(109,541) = 4328 Sum = 5281.453605146261274 Averaged sum = 0.5276704571032332175 logp*logq = 29.52461920579650587 -------------- ************************************* p = 109; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6996020042026.222083 -------------- Searches starting with [109,547]-exponents: u = 4, v = 29 n_start has 88 digits starting right neighbors generation We generated 395 left neighbors We generated 9615 right neighbors We generated 10009 non-negative rho_i D1(109,547) = 0.7976616649077331674 D2(109,547) = 0.04904186325989936605 C1(109,547) = 1.125472336976441858 C2(109,547) = 1.716168577917887479 C3(109,547) = 5.695435296272122039 C4(109,547) = 4376 Sum = 4628.533338358999612 Averaged sum = 0.4624371404095313829 logp*logq = 29.57636253786442273 -------------- ************************************* p = 109; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7616614142221.587201 -------------- Searches starting with [109,557]-exponents: u = 4, v = 23 n_start has 72 digits starting right neighbors generation We generated 309 left neighbors We generated 9701 right neighbors We generated 10009 non-negative rho_i D1(109,557) = 0.8741984472584573689 D2(109,557) = 0.03217361077835605348 C1(109,557) = 1.267706191882824198 C2(109,557) = 1.802144603810942799 C3(109,557) = 7.095911221811854858 C4(109,557) = 4456 Sum = 2727.061166135548282 Averaged sum = 0.2724609018019330884 logp*logq = 29.66135304858846173 -------------- ************************************* p = 109; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8009247848490.997643 -------------- Searches starting with [109,563]-exponents: u = 4, v = 20 n_start has 64 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(109,563) = 1.472705284912332503 D2(109,563) = 0.1077504794306902042 C1(109,563) = 2.163393075328865381 C2(109,563) = 1.879423758009051294 C3(109,563) = 28.33222377451711411 C4(109,563) = 4504 Sum = 3077.558317513727659 Averaged sum = 0.3074791005608679847 logp*logq = 29.71161797103811520 -------------- ************************************* p = 109; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8417635116873.746592 -------------- Searches starting with [109,569]-exponents: u = 4, v = 17 n_start has 55 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(109,569) = 0.7454781312474105416 D2(109,569) = 0.04895255240485745702 C1(109,569) = 0.9865901810745907957 C2(109,569) = 1.892128642174170464 C3(109,569) = 4.595107321336336000 C4(109,569) = 4552 Sum = 4590.273499546185344 Averaged sum = 0.4586145968174827999 logp*logq = 29.76135003975346332 -------------- ************************************* p = 109; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8557343562226.738875 -------------- Searches starting with [109,571]-exponents: u = 4, v = 14 n_start has 47 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(109,571) = 1.148436193020831409 D2(109,571) = 0.06843469609096044979 C1(109,571) = 1.714586406238423292 C2(109,571) = 1.912187999526243247 C3(109,571) = 14.15786627742077521 C4(109,571) = 4568 Sum = 4620.647781094406658 Averaged sum = 0.4616492937450701026 logp*logq = 29.77781092640384173 -------------- ************************************* p = 109; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8987446196977.607326 -------------- Searches starting with [109,577]-exponents: u = 4, v = 14 n_start has 47 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(109,577) = 0.7038939942825070833 D2(109,577) = 0.1334259011272688631 C1(109,577) = 0.9386497288292125464 C2(109,577) = 1.978898618561199636 C3(109,577) = 4.266908664392129667 C4(109,577) = 4616 Sum = 4470.958878073227171 Averaged sum = 0.4466938633303254242 logp*logq = 29.82684985252971192 -------------- ************************************* p = 109; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9741918521622.189909 -------------- Searches starting with [109,587]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(109,587) = 0.7543799231435018031 D2(109,587) = 0.04263253798201218703 C1(109,587) = 1.048080836279314743 C2(109,587) = 1.984200207592283668 C3(109,587) = 5.053289630956166123 C4(109,587) = 4696 Sum = 3992.087729639508717 Averaged sum = 0.3988498081366279066 logp*logq = 29.90745918765876865 -------------- ************************************* p = 109; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10217961524420.43096 -------------- Searches starting with [109,593]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(109,593) = 0.8644962441399459548 D2(109,593) = 0.08600936087440076791 C1(109,593) = 1.207852949124921352 C2(109,593) = 2.029329679897470609 C3(109,593) = 6.468876095755343878 C4(109,593) = 4744 Sum = 4666.568289047828589 Averaged sum = 0.4662372154109130371 logp*logq = 29.95516822135936930 -------------- ************************************* p = 109; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10712120299679.76610 -------------- Searches starting with [109,599]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(109,599) = 0.8910775373965679224 D2(109,599) = 0.09009194176571933091 C1(109,599) = 1.399752683056603597 C2(109,599) = 1.266493686670670811 C3(109,599) = 8.702633037059167777 C4(109,599) = 4792 Sum = 4126.438609220322718 Averaged sum = 0.4122728153881829071 logp*logq = 30.00239695462028240 -------------- ************************************* p = 109; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10880951367222.92694 -------------- Searches starting with [109,601]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(109,601) = 0.9964112439144586569 D2(109,601) = 0.08627198778867459645 C1(109,601) = 1.565149860224330830 C2(109,601) = 1.191678969471194750 C3(109,601) = 11.23780276631800452 C4(109,601) = 4808 Sum = 3641.007766659270407 Averaged sum = 0.3637733806233660112 logp*logq = 30.01803479537387245 -------------- ************************************* p = 109; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11400039909332.05798 -------------- Searches starting with [109,607]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(109,607) = 0.6028301227312712165 D2(109,607) = 0.1141674068296703543 C1(109,607) = 0.8343146265404320381 C2(109,607) = 1.918059599281549407 C3(109,607) = 3.631394561505930831 C4(109,607) = 4856 Sum = 4326.754005456181830 Averaged sum = 0.4322863428370648246 logp*logq = 30.06463797214147171 -------------- ************************************* p = 109; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11938418361446.06320 -------------- Searches starting with [109,613]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(109,613) = 0.8128996094802858077 D2(109,613) = 0.09756333836667426499 C1(109,613) = 1.040634359680955095 C2(109,613) = 1.903306975305207285 C3(109,613) = 4.995458881001453345 C4(109,613) = 4904 Sum = 4068.297955579836242 Averaged sum = 0.4064639779778036009 logp*logq = 30.11078274957813893 -------------- ************************************* p = 109; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12308309125576.81031 -------------- Searches starting with [109,617]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(109,617) = 0.7927338669005355660 D2(109,617) = 0.08046378281274484464 C1(109,617) = 1.088489513802068640 C2(109,617) = 1.751518850047910801 C3(109,617) = 5.378986328903143390 C4(109,617) = 4936 Sum = 4327.486688798967420 Averaged sum = 0.4323595452891365191 logp*logq = 30.14129568889816675 -------------- ************************************* p = 109; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12496604180323.06480 -------------- Searches starting with [109,619]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(109,619) = 0.7468814107565423281 D2(109,619) = 0.07571535350082834496 C1(109,619) = 1.066608486216343336 C2(109,619) = 1.747360471267577015 C3(109,619) = 5.200100753942206701 C4(109,619) = 4952 Sum = 3988.563882476449384 Averaged sum = 0.3984977402813916858 logp*logq = 30.15647805775487221 -------------- ************************************* p = 109; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13674510991832.98448 -------------- Searches starting with [109,631]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(109,631) = 0.9185498932677980113 D2(109,631) = 0.03531443774152904709 C1(109,631) = 1.510787478037478308 C2(109,631) = 1.246271391581042085 C3(109,631) = 10.33208729315151190 C4(109,631) = 5048 Sum = 4427.667506899697286 Averaged sum = 0.4423686189329300915 logp*logq = 30.24655470431626301 -------------- ************************************* p = 109; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14721344384230.64463 -------------- Searches starting with [109,641]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(109,641) = 0.6327256475847163962 D2(109,641) = 0.03360817401141195457 C1(109,641) = 0.8697033549657665078 C2(109,641) = 2.026140545184778684 C3(109,641) = 3.835569077387210852 C4(109,641) = 5128 Sum = 3889.319150373671806 Averaged sum = 0.3885821910654083131 logp*logq = 30.32031955550935812 -------------- ************************************* p = 109; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14938073799517.23832 -------------- Searches starting with [109,643]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(109,643) = 0.8159869075337645008 D2(109,643) = 0.02893444402001542584 C1(109,643) = 1.136779998700149317 C2(109,643) = 2.022113843007251585 C3(109,643) = 5.795857898264743121 C4(109,643) = 5144 Sum = 3674.327297435645626 Averaged sum = 0.3671023376396888426 logp*logq = 30.33493435823930611 -------------- ************************************* p = 109; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15379061875594.92460 -------------- Searches starting with [109,647]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(109,647) = 0.9106381369955704888 D2(109,647) = 0.01977648661627030715 C1(109,647) = 1.191934425337906319 C2(109,647) = 2.014243812204827828 C3(109,647) = 6.311647927878550446 C4(109,647) = 5176 Sum = 4452.897728451585088 Averaged sum = 0.4448893724099895183 logp*logq = 30.36402808176044549 -------------- ************************************* p = 109; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16059683853799.86120 -------------- Searches starting with [109,653]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(109,653) = 0.7715266955382770201 D2(109,653) = 0.006484668035546203960 C1(109,653) = 1.027773871018902172 C2(109,653) = 2.002868751278205216 C3(109,653) = 4.897136087151538615 C4(109,653) = 5224 Sum = 4621.573585899009372 Averaged sum = 0.4617417909780207185 logp*logq = 30.40733313893583762 -------------- ************************************* p = 109; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16763786457032.42264 -------------- Searches starting with [109,659]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(109,659) = 0.9262882325474360354 D2(109,659) = 0.1560657987688932588 C1(109,659) = 1.236525929466367710 C2(109,659) = 1.931629271047897976 C3(109,659) = 6.762027564637544080 C4(109,659) = 5272 Sum = 5019.941833376797007 Averaged sum = 0.5015427948223395950 logp*logq = 30.45024210772319958 -------------- ************************************* p = 109; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17003806119465.11960 -------------- Searches starting with [109,661]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(109,661) = 0.8246133221036636860 D2(109,661) = 0.1246432650544060033 C1(109,661) = 1.265648026590243358 C2(109,661) = 1.330649906193806963 C3(109,661) = 7.073372535751904637 C4(109,661) = 5288 Sum = 4178.353525292046998 Averaged sum = 0.4174596388542358875 logp*logq = 30.46445832430557843 -------------- ************************************* p = 109; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18501310102268.58120 -------------- Searches starting with [109,673]-exponents: u = 18, v = 5 n_start has 51 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(109,673) = 0.7853205998818385659 D2(109,673) = 0.09880786714509932484 C1(109,673) = 1.053133998211632700 C2(109,673) = 1.941797374406231766 C3(109,673) = 5.092914277982087179 C4(109,673) = 5384 Sum = 4745.529988401345576 Averaged sum = 0.4741262851834694351 logp*logq = 30.54886266184431102 -------------- ************************************* p = 109; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19022875094025.76535 -------------- Searches starting with [109,677]-exponents: u = 25, v = 5 n_start has 66 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(109,677) = 0.7037045566980822472 D2(109,677) = 0.07344192642014819879 C1(109,677) = 1.041626931338616693 C2(109,677) = 1.917614047924399165 C3(109,677) = 5.003128985218671990 C4(109,677) = 5416 Sum = 4161.716162074323179 Averaged sum = 0.4157973985487384533 logp*logq = 30.57666332324272858 -------------- ************************************* p = 109; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19826842906182.90739 -------------- Searches starting with [109,683]-exponents: u = 25, v = 5 n_start has 66 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(109,683) = 0.8540189057262039909 D2(109,683) = 0.03863722016394283438 C1(109,683) = 1.234921829561702415 C2(109,683) = 1.884570051976262443 C3(109,683) = 6.745281959159601270 C4(109,683) = 5464 Sum = 4171.525818849181147 Averaged sum = 0.4167774821509822307 logp*logq = 30.61805783782681858 -------------- ************************************* p = 109; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20940127620884.59023 -------------- Searches starting with [109,691]-exponents: u = 39, v = 5 n_start has 94 digits starting right neighbors generation We generated 594 left neighbors We generated 9416 right neighbors We generated 10009 non-negative rho_i D1(109,691) = 0.6193603680796360742 D2(109,691) = 0.06215553667846028981 C1(109,691) = 0.8157334797924067980 C2(109,691) = 1.809209144557683106 C3(109,691) = 3.528579924254410950 C4(109,691) = 5528 Sum = 4401.982031480587928 Averaged sum = 0.4398023810051541540 logp*logq = 30.67268841595048498 -------------- ************************************* p = 109; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22400267106807.25645 -------------- Searches starting with [109,701]-exponents: u = 81, v = 5 n_start has 180 digits starting right neighbors generation We generated 2506 left neighbors We generated 7504 right neighbors We generated 10009 non-negative rho_i D1(109,701) = 0.5762693902922852253 D2(109,701) = 0.01252428338652003558 C1(109,701) = 0.7752193190180723716 C2(109,701) = 1.690126203844776203 C3(109,701) = 3.314384569763398322 C4(109,701) = 5608 Sum = 4577.650247130556214 Averaged sum = 0.4573534066470732555 logp*logq = 30.74009399912948539 -------------- ************************************* p = 109; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23625074049045.08486 -------------- Searches starting with [109,709]-exponents: u = 319, v = 5 n_start has 665 digits --- performed 5000 steps in the continued fraction search [109,709]-exponents: u = 190, v = 81 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,709) = 0.5423149488918705987 D2(109,709) = 0.2435560531672683706 C1(109,709) = 0.6910820995885972111 C2(109,709) = 1.446320053152029029 C3(109,709) = 2.910192932505625118 C4(109,709) = 5672 Sum = 5322.231234889160548 Averaged sum = 0.5322763511240284576 logp*logq = 30.79332972365455729 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(109,709) = 0.5423149488918705987 D2(109,709) = 0.2435560531672683706 C1(109,709) = 0.6910820995885972111 C2(109,709) = 1.446320053152029029 C3(109,709) = 2.910192932505625118 C4(109,709) = 5672 Sum = 5322.231234889160548 Averaged sum = 0.5322763511240284576 logp*logq = 30.79332972365455729 -------------- ************************************* p = 109; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25229522439979.49688 -------------- Searches starting with [109,719]-exponents: u = 7, v = 92 n_start has 278 digits --- performed 5000 steps in the continued fraction search [109,719]-exponents: u = 59, v = 0 --- starting right neighbors generation We generated 6030 left neighbors We generated 3980 right neighbors We generated 10009 non-negative rho_i D1(109,719) = 0.6042595215875842503 D2(109,719) = 0.008989903231441586824 C1(109,719) = 0.7964526483443937133 C2(109,719) = 1.598359660310188370 C3(109,719) = 3.424970082725504674 C4(109,719) = 5752 Sum = 4630.326273535205225 Averaged sum = 0.4626162727080832476 logp*logq = 30.85903595014155222 -------------- ************************************* p = 109; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26573783859728.45639 -------------- Searches starting with [109,727]-exponents: u = 7, v = 42 n_start has 135 digits starting right neighbors generation We generated 1423 left neighbors We generated 8587 right neighbors We generated 10009 non-negative rho_i D1(109,727) = 0.8648029322672440775 D2(109,727) = 0.003014784551314785872 C1(109,727) = 1.141658395266364065 C2(109,727) = 1.774009442597219298 C3(109,727) = 5.839727540798127110 C4(109,727) = 5816 Sum = 4629.194611030309284 Averaged sum = 0.4625032082156368552 logp*logq = 30.91094627654040766 -------------- ************************************* p = 109; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27618460321640.53702 -------------- Searches starting with [109,733]-exponents: u = 7, v = 32 n_start has 106 digits starting right neighbors generation We generated 822 left neighbors We generated 9188 right neighbors We generated 10009 non-negative rho_i D1(109,733) = 1.161634176753524438 D2(109,733) = 0.04586583579871347975 C1(109,733) = 1.633324420273815613 C2(109,733) = 1.818183400698748999 C3(109,733) = 12.48667553455053415 C4(109,733) = 5864 Sum = 3694.061137131265137 Averaged sum = 0.3690739471606819000 logp*logq = 30.94950551730304026 -------------- ************************************* p = 109; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28695183804805.34937 -------------- Searches starting with [109,739]-exponents: u = 7, v = 22 n_start has 78 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(109,739) = 0.5703048780945093658 D2(109,739) = 0.007325300987855717561 C1(109,739) = 0.7589554045645506369 C2(109,739) = 1.889909332108274339 C3(109,739) = 3.232101353189500677 C4(109,739) = 5912 Sum = 4452.740474232350191 Averaged sum = 0.4448736611282196214 logp*logq = 30.98775041293291223 -------------- ************************************* p = 109; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29431154010398.37061 -------------- Searches starting with [109,743]-exponents: u = 7, v = 17 n_start has 64 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(109,743) = 1.133616749236203929 D2(109,743) = 0.02432457734823533152 C1(109,743) = 1.643884815145820270 C2(109,743) = 1.907838326878340153 C3(109,743) = 12.69217334473268171 C4(109,743) = 5944 Sum = 4942.958885696825238 Averaged sum = 0.4938514222896218641 logp*logq = 31.01307488944723610 -------------- ************************************* p = 109; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30947625196240.86885 -------------- Searches starting with [109,751]-exponents: u = 7, v = 17 n_start has 64 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(109,751) = 0.7505498739648987347 D2(109,751) = 0.06030803579822768418 C1(109,751) = 1.115626186346224287 C2(109,751) = 1.945666016681346904 C3(109,751) = 5.609410520591691287 C4(109,751) = 6008 Sum = 4013.194583362885946 Averaged sum = 0.4009585956002483710 logp*logq = 31.06331738178375649 -------------- ************************************* p = 109; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32124794413429.10763 -------------- Searches starting with [109,757]-exponents: u = 7, v = 12 n_start has 49 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(109,757) = 0.7567676980357008440 D2(109,757) = 0.08941085222328729452 C1(109,757) = 1.036988684307382494 C2(109,757) = 1.976138915902465628 C3(109,757) = 4.967387673179253796 C4(109,757) = 6056 Sum = 4541.156768461513738 Averaged sum = 0.4537073402399354319 logp*logq = 31.10064925954148136 -------------- ************************************* p = 109; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32928944296087.20413 -------------- Searches starting with [109,761]-exponents: u = 7, v = 12 n_start has 49 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(109,761) = 0.6429492922792395774 D2(109,761) = 0.1100533913214659905 C1(109,761) = 0.8592284032502055878 C2(109,761) = 1.997688709556172587 C3(109,761) = 3.773966130844312094 C4(109,761) = 6088 Sum = 4337.964527730880450 Averaged sum = 0.4334063870247657558 logp*logq = 31.12537315277125234 -------------- ************************************* p = 109; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34584732625408.89775 -------------- Searches starting with [109,769]-exponents: u = 7, v = 12 n_start has 49 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(109,769) = 1.012117576868007130 D2(109,769) = 0.09563697505146895013 C1(109,769) = 1.564328791015051790 C2(109,769) = 1.204228276013796097 C3(109,769) = 11.22354943376030959 C4(109,769) = 6152 Sum = 2906.992281812486377 Averaged sum = 0.2904378341305311597 logp*logq = 31.17443344701031018 -------------- ************************************* p = 109; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35436820790367.08564 -------------- Searches starting with [109,773]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(109,773) = 0.7439524285955624236 D2(109,773) = 0.1276322722666577488 C1(109,773) = 0.9805758456509969997 C2(109,773) = 1.468064391488891986 C3(109,773) = 4.552586957500198789 C4(109,773) = 6184 Sum = 4298.400609919579860 Averaged sum = 0.4294535527944429873 logp*logq = 31.19877253082344666 -------------- ************************************* p = 109; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38550048399387.70064 -------------- Searches starting with [109,787]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(109,787) = 0.8046930280326057449 D2(109,787) = 0.08421068297811192341 C1(109,787) = 1.034159317990602457 C2(109,787) = 1.803654334666613578 C3(109,787) = 4.945710696257895165 C4(109,787) = 6296 Sum = 4098.881644424715861 Averaged sum = 0.4095195968053467740 logp*logq = 31.28297847143353698 -------------- ************************************* p = 109; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40902546915991.94918 -------------- Searches starting with [109,797]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(109,797) = 0.6802487359877280370 D2(109,797) = 0.05157765279073148007 C1(109,797) = 0.9533564943716278641 C2(109,797) = 1.691404468122270939 C3(109,797) = 4.365017242957547239 C4(109,797) = 6376 Sum = 4163.912127627112413 Averaged sum = 0.4160167976448308935 logp*logq = 31.34221344882314141 -------------- ************************************* p = 109; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43873081461028.78283 -------------- Searches starting with [109,809]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(109,809) = 0.8463699767052414673 D2(109,809) = 0.005094045588462021681 C1(109,809) = 1.105109822298152254 C2(109,809) = 2.082445395045767603 C3(109,809) = 5.518964675469627278 C4(109,809) = 6472 Sum = 4715.600276829947381 Averaged sum = 0.4711360052782443182 logp*logq = 31.41232206937454880 -------------- ************************************* p = 109; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44384243678438.07810 -------------- Searches starting with [109,811]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(109,811) = 0.9491859585286141882 D2(109,811) = 0.007463146213979892576 C1(109,811) = 1.586523348347645102 C2(109,811) = 2.085292365446261911 C3(109,811) = 11.61527182213016772 C4(109,811) = 6488 Sum = 4347.767736435111400 Averaged sum = 0.4343858263997513637 logp*logq = 31.42390565027746972 -------------- ************************************* p = 109; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47010795284994.26503 -------------- Searches starting with [109,821]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(109,821) = 0.7499248779138142208 D2(109,821) = 0.01311401180099386428 C1(109,821) = 0.9951287576928805160 C2(109,821) = 1.419223435773772811 C3(109,821) = 4.656156673883573033 C4(109,821) = 6568 Sum = 4725.524353172674638 Averaged sum = 0.4721275205487735676 logp*logq = 31.48139837817937741 -------------- ************************************* p = 109; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47550473154497.82873 -------------- Searches starting with [109,823]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(109,823) = 0.6395936507476608522 D2(109,823) = 0.01522766954692114576 C1(109,823) = 1.051885491921250924 C2(109,823) = 1.468093613449822228 C3(109,823) = 5.083095240514379816 C4(109,823) = 6584 Sum = 4073.946110519516211 Averaged sum = 0.4070282855949161965 logp*logq = 31.49281285554337005 -------------- ************************************* p = 109; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48644449578734.55581 -------------- Searches starting with [109,827]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(109,827) = 0.6229590136087059661 D2(109,827) = 0.01993088773392017380 C1(109,827) = 0.8553724469866440327 C2(109,827) = 1.577187109564405987 C3(109,827) = 3.751539331284992003 C4(109,827) = 6616 Sum = 4344.030504694061472 Averaged sum = 0.4340124392740594937 logp*logq = 31.51555882922839281 -------------- ************************************* p = 109; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49198812005596.56120 -------------- Searches starting with [109,829]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(109,829) = 0.9066516551400993383 D2(109,829) = 0.02246657987005067467 C1(109,829) = 1.259630622168766526 C2(109,829) = 1.631615867818050064 C3(109,829) = 7.007886549625146068 C4(109,829) = 6632 Sum = 4958.094936225121458 Averaged sum = 0.4953636663228216063 logp*logq = 31.52689059290757362 -------------- ************************************* p = 109; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52045655542615.27855 -------------- Searches starting with [109,839]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(109,839) = 0.9660144490473455403 D2(109,839) = 0.03518484454224767641 C1(109,839) = 1.235672728992090994 C2(109,839) = 1.810196257607392526 C3(109,839) = 6.753115619812975020 C4(109,839) = 6712 Sum = 3848.812013235620731 Averaged sum = 0.3845351197158178370 logp*logq = 31.58314244050529508 -------------- ************************************* p = 109; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56247280591184.13613 -------------- Searches starting with [109,853]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(109,853) = 0.7531999696199953733 D2(109,853) = 0.05445329749891012034 C1(109,853) = 1.017397404876050198 C2(109,853) = 1.987682763170804514 C3(109,853) = 4.819216927323658096 C4(109,853) = 6824 Sum = 4218.875390506403255 Averaged sum = 0.4215081816871219158 logp*logq = 31.66077881079880298 -------------- ************************************* p = 109; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57495435454434.81602 -------------- Searches starting with [109,857]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(109,857) = 0.8708480545121267054 D2(109,857) = 0.05915301934086211829 C1(109,857) = 1.146957672673800578 C2(109,857) = 1.993242246294298294 C3(109,857) = 5.887758356068258547 C4(109,857) = 6856 Sum = 4514.952756524703486 Averaged sum = 0.4510892952867123075 logp*logq = 31.68272667717969038 -------------- ************************************* p = 109; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58127629933503.95325 -------------- Searches starting with [109,859]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(109,859) = 1.006886774881211250 D2(109,859) = 0.06151589808647948838 C1(109,859) = 1.441198686736102059 C2(109,859) = 1.996033471267194119 C3(109,859) = 9.278403932453511038 C4(109,859) = 6872 Sum = 3787.767515698428926 Averaged sum = 0.3784361590267188456 logp*logq = 31.69366222498030156 -------------- ************************************* p = 109; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59408423618675.89043 -------------- Searches starting with [109,863]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(109,863) = 0.7003553601075828782 D2(109,863) = 0.06626854069227240677 C1(109,863) = 0.9785233427165201975 C2(109,863) = 2.001639761525413143 C3(109,863) = 4.538166331722255852 C4(109,863) = 6904 Sum = 4190.530848724407850 Averaged sum = 0.4186762762238393296 logp*logq = 31.71545714400503042 -------------- ************************************* p = 109; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64067076936792.98084 -------------- Searches starting with [109,877]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(109,877) = 1.670669497010026676 D2(109,877) = 0.04544884604112653368 C1(109,877) = 2.677467990184910250 C2(109,877) = 1.104228685308905105 C3(109,877) = 62.71594055777673617 C4(109,877) = 7016 Sum = 2184.003824732608188 Averaged sum = 0.2182039988742739722 logp*logq = 31.79095172757622495 -------------- ************************************* p = 109; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65449523815350.04852 -------------- Searches starting with [109,881]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(109,881) = 0.7660809456937997003 D2(109,881) = 0.06029606389072931686 C1(109,881) = 1.227745651462877610 C2(109,881) = 1.386939596944957574 C3(109,881) = 6.670874294185133618 C4(109,881) = 7048 Sum = 4253.018471148440684 Averaged sum = 0.4249194196371706149 logp*logq = 31.81230033270948064 -------------- ************************************* p = 109; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66149491165272.45495 -------------- Searches starting with [109,883]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(109,883) = 0.7726270288294847592 D2(109,883) = 0.06372070785930966754 C1(109,883) = 1.028204367065992775 C2(109,883) = 2.202214978439822516 C3(109,883) = 4.900395854855638919 C4(109,883) = 7064 Sum = 4147.588171662891211 Averaged sum = 0.4143858698833940664 logp*logq = 31.82293831432496917 -------------- ************************************* p = 109; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67567092469045.27466 -------------- Searches starting with [109,887]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(109,887) = 0.7046702476861436649 D2(109,887) = 0.04649338397877261790 C1(109,887) = 0.9628100417878751941 C2(109,887) = 2.186041242144262723 C3(109,887) = 4.429269518729714250 C4(109,887) = 7096 Sum = 4532.363750575066083 Averaged sum = 0.4528288291113064325 logp*logq = 31.84414218265776513 -------------- ************************************* p = 109; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75017861993786.28018 -------------- Searches starting with [109,907]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(109,907) = 1.042736001227553748 D2(109,907) = 0.1150094005936917019 C1(109,907) = 1.466145701855787072 C2(109,907) = 1.957989714324775484 C3(109,907) = 9.643177211591095280 C4(109,907) = 7256 Sum = 4194.225241122331770 Averaged sum = 0.4190453832672926137 logp*logq = 31.94874736102643800 -------------- ************************************* p = 109; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76582628840664.16935 -------------- Searches starting with [109,911]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(109,911) = 0.5720131954102609479 D2(109,911) = 0.1200415627422385882 C1(109,911) = 0.7870945209560095760 C2(109,911) = 1.963798981079844803 C3(109,911) = 3.375784334177023714 C4(109,911) = 7288 Sum = 4204.001657182332477 Averaged sum = 0.4200221457870249253 logp*logq = 31.96939138942015865 -------------- ************************************* p = 109; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79789170244815.37848 -------------- Searches starting with [109,919]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(109,919) = 1.207709653294160389 D2(109,919) = 0.08264496973880762304 C1(109,919) = 1.881026067764318687 C2(109,919) = 1.224804972335776483 C3(109,919) = 18.31168706188120715 C4(109,919) = 7352 Sum = 3931.107194269872173 Averaged sum = 0.3927572379128656382 logp*logq = 32.01040889995685833 -------------- ************************************* p = 109; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83944884184611.50527 -------------- Searches starting with [109,929]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(109,929) = 0.6510073548506771843 D2(109,929) = 0.08835401430619593198 C1(109,929) = 0.8619375074447858569 C2(109,929) = 2.139117049065758581 C3(109,929) = 3.789802810805376283 C4(109,929) = 7432 Sum = 4448.379423790093417 Averaged sum = 0.4444379482256062960 logp*logq = 32.06118155875798549 -------------- ************************************* p = 109; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87390502435042.31521 -------------- Searches starting with [109,937]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(109,937) = 0.7037848900374036265 D2(109,937) = 0.04678667997812147099 C1(109,937) = 1.009761777937618898 C2(109,937) = 2.099470033241743112 C3(109,937) = 4.762672264725909179 C4(109,937) = 7496 Sum = 3883.515413459175669 Averaged sum = 0.3880023392406010259 logp*logq = 32.10140772489398792 -------------- ************************************* p = 109; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89154523353919.39381 -------------- Searches starting with [109,941]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(109,941) = 0.9923111961041571217 D2(109,941) = 0.02759801212689197790 C1(109,941) = 1.376828953189271131 C2(109,941) = 2.081235350718523833 C3(109,941) = 8.399666154470217861 C4(109,941) = 7528 Sum = 4336.450832796785733 Averaged sum = 0.4332551536414013121 logp*logq = 32.12139219763723500 -------------- ************************************* p = 109; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91852963083946.53822 -------------- Searches starting with [109,947]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(109,947) = 0.6975141431971168363 D2(109,947) = 0.0004501292842895907062 C1(109,947) = 1.063742513051155109 C2(109,947) = 2.055510826828469188 C3(109,947) = 5.177115300219590630 C4(109,947) = 7576 Sum = 4363.283380750010009 Averaged sum = 0.4359359956788899998 logp*logq = 32.15121018710141912 -------------- ************************************* p = 109; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94615256348435.38821 -------------- Searches starting with [109,953]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(109,953) = 1.183466139210517690 D2(109,953) = 0.1255987404055037233 C1(109,953) = 1.538047986947545812 C2(109,953) = 1.441022782533976763 C3(109,953) = 10.77675431401622728 C4(109,953) = 7624 Sum = 4506.847898023465410 Averaged sum = 0.4502795382179503857 logp*logq = 32.18083985116561268 -------------- ************************************* p = 109; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101315097507805.2581 -------------- Searches starting with [109,967]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(109,967) = 0.5830737109430656484 D2(109,967) = 0.06631830459248467705 C1(109,967) = 0.8006067429922859579 C2(109,967) = 2.049690033118336575 C3(109,967) = 3.447032802098817665 C4(109,967) = 7736 Sum = 4182.769326425691401 Averaged sum = 0.4179008219028565692 logp*logq = 32.24925655366757825 -------------- ************************************* p = 109; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103296262492326.9437 -------------- Searches starting with [109,971]-exponents: u = 19, v = 2 n_start has 45 digits starting right neighbors generation We generated 75 left neighbors We generated 9935 right neighbors We generated 10009 non-negative rho_i D1(109,971) = 0.7894524555570835584 D2(109,971) = 0.04337563370327280894 C1(109,971) = 1.020871477236249449 C2(109,971) = 2.027641904113884602 C3(109,971) = 4.845165455781229495 C4(109,971) = 7768 Sum = 4267.326673031790494 Averaged sum = 0.4263489532452583169 logp*logq = 32.26862231029917246 -------------- ************************************* p = 109; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106325033835541.2472 -------------- Searches starting with [109,977]-exponents: u = 22, v = 2 n_start has 51 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(109,977) = 0.6497063341962835186 D2(109,977) = 0.01138122634201707050 C1(109,977) = 0.8621430581775791516 C2(109,977) = 1.996982392107094880 C3(109,977) = 3.791007112911759111 C4(109,977) = 7816 Sum = 4134.439311972767673 Averaged sum = 0.4130721662476538788 logp*logq = 32.29752187529571653 -------------- ************************************* p = 109; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109423249658891.2494 -------------- Searches starting with [109,983]-exponents: u = 22, v = 2 n_start has 51 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(109,983) = 0.9432465713917769592 D2(109,983) = 0.1259067282647953483 C1(109,983) = 1.321932061114415981 C2(109,983) = 2.051699965803669202 C3(109,983) = 7.716313630836726585 C4(109,983) = 7864 Sum = 4484.291368207041035 Averaged sum = 0.4480259134985554036 logp*logq = 32.32624450307123301 -------------- ************************************* p = 109; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113664224699651.6288 -------------- Searches starting with [109,991]-exponents: u = 22, v = 2 n_start has 51 digits starting right neighbors generation We generated 86 left neighbors We generated 9924 right neighbors We generated 10009 non-negative rho_i D1(109,991) = 1.089544197510060613 D2(109,991) = 0.06778965631037144797 C1(109,991) = 1.612756349344722850 C2(109,991) = 1.995291237717994623 C3(109,991) = 12.09593736485375723 C4(109,991) = 7928 Sum = 4588.929303019025201 Averaged sum = 0.4584802980336722151 logp*logq = 32.36426982073240242 -------------- ************************************* p = 109; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116928985157211.0686 -------------- Searches starting with [109,997]-exponents: u = 25, v = 2 n_start has 57 digits starting right neighbors generation We generated 142 left neighbors We generated 9868 right neighbors We generated 10009 non-negative rho_i D1(109,997) = 0.6118470508531483041 D2(109,997) = 0.02979978421147952098 C1(109,997) = 0.8289247170386510683 C2(109,997) = 1.958573562424196306 C3(109,997) = 3.601266037251480567 C4(109,997) = 7976 Sum = 4346.638154723865247 Averaged sum = 0.4342729697995669145 logp*logq = 32.39258790198051961 -------------- ************************************* p = 113; q = 127; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8820558474.703918236 -------------- Searches starting with [113,127]-exponents: u = 1, v = 40 n_start has 87 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(113,127) = 0.8571116749465523560 D2(113,127) = 0.02153064695138895152 C1(113,127) = 1.158415585525826839 C2(113,127) = 1.370343552211757750 C3(113,127) = 6.046328643741233283 C4(113,127) = 1016 Sum = 5092.617178065880166 Averaged sum = 0.5088037943916355446 logp*logq = 22.90035102408796813 -------------- ************************************* p = 113; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10213216354.25648028 -------------- Searches starting with [113,131]-exponents: u = 1, v = 31 n_start has 68 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(113,131) = 1.184918643282330476 D2(113,131) = 0.04496024239188745531 C1(113,131) = 1.711335460222772194 C2(113,131) = 1.459549829832761501 C3(113,131) = 14.27260465513800028 C4(113,131) = 1048 Sum = 6047.659205622532560 Averaged sum = 0.6042221206536649575 logp*logq = 23.04694843952013341 -------------- ************************************* p = 113; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12621378217.07933206 -------------- Searches starting with [113,137]-exponents: u = 1, v = 24 n_start has 54 digits starting right neighbors generation We generated 119 left neighbors We generated 9891 right neighbors We generated 10009 non-negative rho_i D1(113,137) = 0.7337234368012533574 D2(113,137) = 0.004427642114866671495 C1(113,137) = 1.023605905741306999 C2(113,137) = 1.513630622224588414 C3(113,137) = 4.903952749315113545 C4(113,137) = 1096 Sum = 4572.435307093045326 Averaged sum = 0.4568323815658952269 logp*logq = 23.25865789705694130 -------------- ************************************* p = 113; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13516431943.62238974 -------------- Searches starting with [113,139]-exponents: u = 1, v = 22 n_start has 50 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(113,139) = 0.7730288586098954823 D2(113,139) = 0.04963491328319414267 C1(113,139) = 1.014987268688394907 C2(113,139) = 1.577062734812347186 C3(113,139) = 4.838736375290885207 C4(113,139) = 1112 Sum = 4755.124526220262177 Averaged sum = 0.4750848762334161431 logp*logq = 23.32717196323560478 -------------- ************************************* p = 113; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18771297514.94463803 -------------- Searches starting with [113,149]-exponents: u = 1, v = 17 n_start has 39 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(113,149) = 0.8193622628220812728 D2(113,149) = 0.05627228822299490394 C1(113,149) = 1.259758579951751229 C2(113,149) = 1.696599609418811306 C3(113,149) = 7.077174189622075984 C4(113,149) = 1192 Sum = 4417.629050025816493 Averaged sum = 0.4413656758942768001 logp*logq = 23.65559481221717847 -------------- ************************************* p = 113; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19992590835.32228792 -------------- Searches starting with [113,151]-exponents: u = 1, v = 16 n_start has 37 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(113,151) = 0.6868650983036276336 D2(113,151) = 0.01154714280229060731 C1(113,151) = 0.9568959117135634311 C2(113,151) = 1.680600001927740750 C3(113,151) = 4.421221758284779668 C4(113,151) = 1208 Sum = 4271.233742291301844 Averaged sum = 0.4267393088511641366 logp*logq = 23.71862758362991317 -------------- ************************************* p = 113; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24036391434.27532595 -------------- Searches starting with [113,157]-exponents: u = 1, v = 14 n_start has 33 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(113,157) = 1.216240820554373186 D2(113,157) = 0.1335376217057086218 C1(113,157) = 1.608843337922708297 C2(113,157) = 1.838366631620704744 C3(113,157) = 12.17194200405283540 C4(113,157) = 1256 Sum = 4911.044114981762406 Averaged sum = 0.4906628149647080034 logp*logq = 23.90283482861895977 -------------- ************************************* p = 113; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28699130149.05629791 -------------- Searches starting with [113,163]-exponents: u = 1, v = 12 n_start has 29 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(113,163) = 0.7932161314891869401 D2(113,163) = 0.1423774115929390889 C1(113,163) = 1.260110254177426839 C2(113,163) = 1.234167333516303372 C3(113,163) = 7.081041372833561011 C4(113,163) = 1304 Sum = 4615.842942462155588 Averaged sum = 0.4611692419284799269 logp*logq = 24.08013265085742695 -------------- ************************************* p = 113; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32184203837.05046587 -------------- Searches starting with [113,167]-exponents: u = 1, v = 12 n_start has 29 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(113,167) = 0.7761326904346998548 D2(113,167) = 0.1151510690709993187 C1(113,167) = 1.246290278427684700 C2(113,167) = 1.237561878515561457 C3(113,167) = 6.930648650175780845 C4(113,167) = 1336 Sum = 4751.186356014263134 Averaged sum = 0.4746914133294298266 logp*logq = 24.19474160506409986 -------------- ************************************* p = 113; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38028735569.72372832 -------------- Searches starting with [113,173]-exponents: u = 1, v = 11 n_start has 27 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(113,173) = 1.030332513446100564 D2(113,173) = 0.09848500596637539667 C1(113,173) = 1.364060702287646701 C2(113,173) = 1.223709481176681591 C3(113,173) = 8.321934844587838496 C4(113,173) = 1384 Sum = 4692.730083170131290 Averaged sum = 0.4688510423788721441 logp*logq = 24.36160791010149469 -------------- ************************************* p = 113; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44679671976.07983891 -------------- Searches starting with [113,179]-exponents: u = 1, v = 10 n_start has 25 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(113,179) = 0.6007954615559329351 D2(113,179) = 0.05828100774439974002 C1(113,179) = 0.7944078905830003904 C2(113,179) = 1.948983094459247689 C3(113,179) = 3.434981715925037775 C4(113,179) = 1432 Sum = 4733.571765293963570 Averaged sum = 0.4729315381450657978 logp*logq = 24.52278446949288377 -------------- ************************************* p = 113; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47089295539.64427063 -------------- Searches starting with [113,181]-exponents: u = 1, v = 10 n_start has 25 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(113,181) = 1.039924749088524939 D2(113,181) = 0.06942900581444662861 C1(113,181) = 1.713683106473242302 C2(113,181) = 1.064348921028216747 C3(113,181) = 14.32474857956293064 C4(113,181) = 1448 Sum = 4221.231165741373162 Averaged sum = 0.4217435473814939716 logp*logq = 24.57531154121833009 -------------- ************************************* p = 113; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60719663263.62274941 -------------- Searches starting with [113,191]-exponents: u = 1, v = 9 n_start has 23 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(113,191) = 1.472342751259540106 D2(113,191) = 0.04376387207112588162 C1(113,191) = 2.465647616964663723 C2(113,191) = 0.9093760133099688695 C3(113,191) = 46.06575914280894092 C4(113,191) = 1528 Sum = 1222.023405107297994 Averaged sum = 0.1220924572991605549 logp*logq = 24.82953342429414504 -------------- ************************************* p = 113; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63784591952.66533316 -------------- Searches starting with [113,193]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(113,193) = 0.8883980003777418081 D2(113,193) = 0.07895208817543233595 C1(113,193) = 1.226840823041923787 C2(113,193) = 1.757417007163585134 C3(113,193) = 6.724389591632903739 C4(113,193) = 1544 Sum = 5241.408924887998620 Averaged sum = 0.5236695898579277270 logp*logq = 24.87877749268590244 -------------- ************************************* p = 113; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70279989510.44906928 -------------- Searches starting with [113,197]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(113,197) = 1.140343070965183913 D2(113,197) = 0.06777030188076072994 C1(113,197) = 1.741957662470231731 C2(113,197) = 1.750229676493721936 C3(113,197) = 14.96792588305876958 C4(113,197) = 1576 Sum = 3777.284441249361392 Averaged sum = 0.3773887942101470068 logp*logq = 24.97575295101158373 -------------- ************************************* p = 113; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73717403582.04461910 -------------- Searches starting with [113,199]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(113,199) = 0.7886625944090123984 D2(113,199) = 0.05682167242757924832 C1(113,199) = 1.030349692137338433 C2(113,199) = 1.591142567915228165 C3(113,199) = 4.955594685109614197 C4(113,199) = 1592 Sum = 4542.685293782150282 Averaged sum = 0.4538600553284194507 logp*logq = 25.02350474913382633 -------------- ************************************* p = 113; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97226480814.44110863 -------------- Searches starting with [113,211]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(113,211) = 0.9303216662615944147 D2(113,211) = 0.03353040514078777939 C1(113,211) = 1.283280813198789345 C2(113,211) = 1.783101349554379338 C3(113,211) = 7.340548001183773044 C4(113,211) = 1688 Sum = 4512.871897510510284 Averaged sum = 0.4508813964942062427 logp*logq = 25.30030894767132041 -------------- ************************************* p = 113; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126283847235.5779660 -------------- Searches starting with [113,223]-exponents: u = 8, v = 6 n_start has 31 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(113,223) = 0.9510428345897782960 D2(113,223) = 0.006568451023899031126 C1(113,223) = 1.661485534435890945 C2(113,223) = 1.834145852295387168 C3(113,223) = 13.20910577336384091 C4(113,223) = 1784 Sum = 4848.359448002430009 Averaged sum = 0.4843999848139104815 logp*logq = 25.56179796608579331 -------------- ************************************* p = 113; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 137356095766.3366713 -------------- Searches starting with [113,227]-exponents: u = 8, v = 6 n_start has 31 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(113,227) = 0.9196958965244109642 D2(113,227) = 0.06380868004734391949 C1(113,227) = 1.255963327921733683 C2(113,227) = 1.518187037612466994 C3(113,227) = 7.035573871637155732 C4(113,227) = 1816 Sum = 4926.750630225145659 Averaged sum = 0.4922320541737581835 logp*logq = 25.64584262976488203 -------------- ************************************* p = 113; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 143171809329.8783450 -------------- Searches starting with [113,229]-exponents: u = 8, v = 6 n_start has 31 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(113,229) = 0.8609748046904090342 D2(113,229) = 0.09358107003808013464 C1(113,229) = 1.151391409007834485 C2(113,229) = 1.622170368151524709 C3(113,229) = 5.980714769013229519 C4(113,229) = 1832 Sum = 4935.311899353045056 Averaged sum = 0.4930874112651658563 logp*logq = 25.68731120987152584 -------------- ************************************* p = 113; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155385161537.4693124 -------------- Searches starting with [113,233]-exponents: u = 8, v = 6 n_start has 31 digits starting right neighbors generation We generated 27 left neighbors We generated 9983 right neighbors We generated 10009 non-negative rho_i D1(113,233) = 0.7907112690605971938 D2(113,233) = 0.1425049553242022019 C1(113,233) = 1.050531156616509581 C2(113,233) = 1.321286449692247303 C3(113,233) = 5.113410076378762525 C4(113,233) = 1864 Sum = 4520.221479928551326 Averaged sum = 0.4516156938683735964 logp*logq = 25.76917278471904735 -------------- ************************************* p = 113; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175230324413.4826602 -------------- Searches starting with [113,239]-exponents: u = 22, v = 6 n_start has 60 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(113,239) = 0.6384000321624054668 D2(113,239) = 0.08641881825614087564 C1(113,239) = 0.9592216498460284637 C2(113,239) = 1.751204861227108583 C3(113,239) = 4.437223363022812834 C4(113,239) = 1912 Sum = 4612.908412156858724 Averaged sum = 0.4608760527681944974 logp*logq = 25.88936708502314106 -------------- ************************************* p = 113; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 182271325164.4521310 -------------- Searches starting with [113,241]-exponents: u = 29, v = 6 n_start has 74 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(113,241) = 0.8323994836070930973 D2(113,241) = 0.05581395731910137163 C1(113,241) = 1.074217603217915426 C2(113,241) = 1.722272614750573377 C3(113,241) = 5.305056366956961402 C4(113,241) = 1928 Sum = 4078.829626436959615 Averaged sum = 0.4075161980654370681 logp*logq = 25.92876221149452201 -------------- ************************************* p = 113; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220896238093.4161978 -------------- Searches starting with [113,251]-exponents: u = 7, v = 77 n_start has 200 digits starting right neighbors generation We generated 3963 left neighbors We generated 6047 right neighbors We generated 10009 non-negative rho_i D1(113,251) = 0.8739788903662417232 D2(113,251) = 0.007241853724366263089 C1(113,251) = 1.175684672022824138 C2(113,251) = 1.604835034895853265 C3(113,251) = 6.210718446993578104 C4(113,251) = 2008 Sum = 4574.267278754734485 Averaged sum = 0.4570154140028708647 logp*logq = 26.12095891731989493 -------------- ************************************* p = 113; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 246995187317.8952317 -------------- Searches starting with [113,257]-exponents: u = 7, v = 23 n_start has 70 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(113,257) = 0.9342243447030413029 D2(113,257) = 0.03080321508277614925 C1(113,257) = 1.374548221239806621 C2(113,257) = 1.553190359265606904 C3(113,257) = 8.458618038284893497 C4(113,257) = 2056 Sum = 3182.753202787247761 Averaged sum = 0.3179891300616692738 logp*logq = 26.23263468884162790 -------------- ************************************* p = 113; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 275466840106.6734491 -------------- Searches starting with [113,263]-exponents: u = 7, v = 11 n_start has 41 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(113,263) = 0.8109547521496890199 D2(113,263) = 0.09561208683183353735 C1(113,263) = 1.171232836834737432 C2(113,263) = 1.822118042321129329 C3(113,263) = 6.167917258595672801 C4(113,263) = 2104 Sum = 3659.252224960173007 Averaged sum = 0.3655961859286814874 logp*logq = 26.34173309570601552 -------------- ************************************* p = 113; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 306465316221.4003170 -------------- Searches starting with [113,269]-exponents: u = 13, v = 5 n_start has 39 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(113,269) = 0.7255311836165347330 D2(113,269) = 0.1128975826741018874 C1(113,269) = 0.9574380793220549496 C2(113,269) = 1.868672140943614112 C3(113,269) = 4.424946828399987436 C4(113,269) = 2152 Sum = 4663.047809788441154 Averaged sum = 0.4658854840432052307 logp*logq = 26.44837042514104777 -------------- ************************************* p = 113; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 317387186111.9478621 -------------- Searches starting with [113,271]-exponents: u = 13, v = 5 n_start has 39 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(113,271) = 0.7856419542892011840 D2(113,271) = 0.08698450492564159246 C1(113,271) = 1.137786368006682707 C2(113,271) = 1.844303253681990266 C3(113,271) = 5.855646368183496512 C4(113,271) = 2168 Sum = 3690.706922048902309 Averaged sum = 0.3687388272603559106 logp*logq = 26.48338827280583859 -------------- ************************************* p = 113; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 352005223166.2775722 -------------- Searches starting with [113,277]-exponents: u = 19, v = 5 n_start has 52 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(113,277) = 0.9893198387877932890 D2(113,277) = 0.01903939149030402260 C1(113,277) = 1.352273042313873276 C2(113,277) = 1.780922027770810595 C3(113,277) = 8.170941582040896465 C4(113,277) = 2216 Sum = 4870.916973534255330 Averaged sum = 0.4866537090153117523 logp*logq = 26.58691185097497948 -------------- ************************************* p = 113; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 376690292469.5690552 -------------- Searches starting with [113,281]-exponents: u = 31, v = 5 n_start has 76 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(113,281) = 0.6058071263386491147 D2(113,281) = 0.05838464201295079334 C1(113,281) = 0.7991379217717062476 C2(113,281) = 1.707891097942450054 C3(113,281) = 3.460313197695012254 C4(113,281) = 2248 Sum = 4533.804997109245263 Averaged sum = 0.4529728241691722713 logp*logq = 26.65468918138819668 -------------- ************************************* p = 113; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 389533963095.2560645 -------------- Searches starting with [113,283]-exponents: u = 37, v = 5 n_start has 89 digits starting right neighbors generation We generated 678 left neighbors We generated 9332 right neighbors We generated 10009 non-negative rho_i D1(113,283) = 0.6895940254814388587 D2(113,283) = 0.02160667445060669907 C1(113,283) = 0.9121949313137816889 C2(113,283) = 1.672535958757967621 C3(113,283) = 4.124640180769461689 C4(113,283) = 2264 Sum = 4569.304266434835419 Averaged sum = 0.4565195590403472293 logp*logq = 26.68821689510601531 -------------- ************************************* p = 113; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 459028804550.8914734 -------------- Searches starting with [113,293]-exponents: u = 6, v = 129 n_start has 331 digits --- performed 5000 steps in the continued fraction search [113,293]-exponents: u = 99, v = 14 --- starting right neighbors generation We generated 9816 left neighbors We generated 194 right neighbors We generated 10009 non-negative rho_i D1(113,293) = 0.8884089244211423191 D2(113,293) = 0.01187808866960990293 C1(113,293) = 1.162038706105790554 C2(113,293) = 1.399864361232247506 C3(113,293) = 6.080453664269917221 C4(113,293) = 2344 Sum = 5086.324808389224824 Averaged sum = 0.5081751232280172669 logp*logq = 26.85237880005077832 -------------- ************************************* p = 113; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 572357871156.1413518 -------------- Searches starting with [113,307]-exponents: u = 6, v = 14 n_start has 48 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(113,307) = 0.6168380962532202042 D2(113,307) = 0.1174733273099043733 C1(113,307) = 0.8481128124744022589 C2(113,307) = 1.819731164468006637 C3(113,307) = 3.733833176504543325 C4(113,307) = 2456 Sum = 4348.036325679154184 Averaged sum = 0.4344126611728598446 logp*logq = 27.07303028156392070 -------------- ************************************* p = 113; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 608478304680.4441045 -------------- Searches starting with [113,311]-exponents: u = 6, v = 14 n_start has 48 digits starting right neighbors generation We generated 175 left neighbors We generated 9835 right neighbors We generated 10009 non-negative rho_i D1(113,311) = 1.086147383436271147 D2(113,311) = 0.006762372243261694110 C1(113,311) = 1.681674271246322050 C2(113,311) = 1.712474415482939018 C3(113,311) = 13.62991565558908092 C4(113,311) = 2488 Sum = 2801.325251854117924 Averaged sum = 0.2798806326160573408 logp*logq = 27.13422709496754263 -------------- ************************************* p = 113; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 627199787268.1574241 -------------- Searches starting with [113,313]-exponents: u = 6, v = 9 n_start has 35 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(113,313) = 0.9472134585649644702 D2(113,313) = 0.01975004522000379977 C1(113,313) = 1.244535735120395894 C2(113,313) = 1.864177340506084624 C3(113,313) = 6.911785163160615735 C4(113,313) = 2504 Sum = 4622.095917608612998 Averaged sum = 0.4617939771813980415 logp*logq = 27.16453096680550680 -------------- ************************************* p = 113; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 666004387290.4803109 -------------- Searches starting with [113,317]-exponents: u = 6, v = 9 n_start has 35 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(113,317) = 0.9337190446903125218 D2(113,317) = 0.04545384892988191706 C1(113,317) = 1.278670243375889908 C2(113,317) = 1.892239276160563549 C3(113,317) = 7.288163294762885995 C4(113,317) = 2536 Sum = 5058.254708935098404 Averaged sum = 0.5053706373199219107 logp*logq = 27.22456209498834637 -------------- ************************************* p = 113; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 816966339213.4865981 -------------- Searches starting with [113,331]-exponents: u = 11, v = 4 n_start has 33 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(113,331) = 1.018605828495775173 D2(113,331) = 0.02304160549877599088 C1(113,331) = 1.498688625016093121 C2(113,331) = 1.913350699535251883 C3(113,331) = 10.25763322604607273 C4(113,331) = 2648 Sum = 4161.484897185226173 Averaged sum = 0.4157742928549531594 logp*logq = 27.42886373048456262 -------------- ************************************* p = 113; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 889378862611.0166483 -------------- Searches starting with [113,337]-exponents: u = 16, v = 4 n_start has 43 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(113,337) = 0.8706365059725196517 D2(113,337) = 0.1192133513164630589 C1(113,337) = 1.358420016392296553 C2(113,337) = 1.230367450532529057 C3(113,337) = 8.249335843073795708 C4(113,337) = 2696 Sum = 4208.740293440922594 Averaged sum = 0.4204955833191050648 logp*logq = 27.51378914884337845 -------------- ************************************* p = 113; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1021227766906.879849 -------------- Searches starting with [113,347]-exponents: u = 21, v = 4 n_start has 54 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(113,347) = 0.7731304060291946382 D2(113,347) = 0.02312658756188382639 C1(113,347) = 1.053044423088651270 C2(113,347) = 1.791938903861172016 C3(113,347) = 5.133412051454855374 C4(113,347) = 2776 Sum = 4492.317705594599022 Averaged sum = 0.4488278255164950566 logp*logq = 27.65202671241302417 -------------- ************************************* p = 113; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1049353821650.004441 -------------- Searches starting with [113,349]-exponents: u = 26, v = 4 n_start has 64 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(113,349) = 0.8056142285641766775 D2(113,349) = 0.1038992955578960543 C1(113,349) = 1.060731277011943179 C2(113,349) = 1.785115870088415760 C3(113,349) = 5.195075226847750087 C4(113,349) = 2792 Sum = 4596.553101989780142 Averaged sum = 0.4592419924058127827 logp*logq = 27.67919568270440316 -------------- ************************************* p = 113; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1107437198053.686799 -------------- Searches starting with [113,353]-exponents: u = 31, v = 4 n_start has 74 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(113,353) = 0.8880842815612452040 D2(113,353) = 0.02953262509236016461 C1(113,353) = 1.185734579451286600 C2(113,353) = 1.713055124672778052 C3(113,353) = 6.308436307020480630 C4(113,353) = 2824 Sum = 4866.144667818688925 Averaged sum = 0.4861769075650603381 logp*logq = 27.73306963121152077 -------------- ************************************* p = 113; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1199284917353.837748 -------------- Searches starting with [113,359]-exponents: u = 56, v = 4 n_start has 126 digits starting right neighbors generation We generated 1189 left neighbors We generated 8821 right neighbors We generated 10009 non-negative rho_i D1(113,359) = 0.7421941042268586399 D2(113,359) = 0.02251203128514853553 C1(113,359) = 1.028604886757704321 C2(113,359) = 1.592499122575123420 C3(113,359) = 4.942181557524334787 C4(113,359) = 2872 Sum = 3696.200671708521935 Averaged sum = 0.3692877082334420956 logp*logq = 27.81274659289708220 -------------- ************************************* p = 113; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1330978717799.919881 -------------- Searches starting with [113,367]-exponents: u = 381, v = 4 n_start has 793 digits --- performed 5000 steps in the continued fraction search [113,367]-exponents: u = 22, v = 278 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(113,367) = 0.9885619616440469573 D2(113,367) = 0.2911578577417641778 C1(113,367) = 1.246959588292323660 C2(113,367) = 1.366993267512162048 C3(113,367) = 6.937858107701829452 C4(113,367) = 2936 Sum = 5559.396975210029536 Averaged sum = 0.5559952970507080244 logp*logq = 27.91693566558177132 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(113,367) = 0.9885619616440469573 D2(113,367) = 0.2911578577417641778 C1(113,367) = 1.246959588292323660 C2(113,367) = 1.366993267512162048 C3(113,367) = 6.937858107701829452 C4(113,367) = 2936 Sum = 5559.396975210029536 Averaged sum = 0.5559952970507080244 logp*logq = 27.91693566558177132 -------------- ************************************* p = 113; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1437027253751.792854 -------------- Searches starting with [113,373]-exponents: u = 5, v = 95 n_start has 255 digits starting right neighbors generation We generated 4915 left neighbors We generated 5095 right neighbors We generated 10009 non-negative rho_i D1(113,373) = 0.7396607815260109608 D2(113,373) = 0.01515634436688007884 C1(113,373) = 0.9800757586204480788 C2(113,373) = 1.425186452928684134 C3(113,373) = 4.583317208521199939 C4(113,373) = 2984 Sum = 4708.358230913348282 Averaged sum = 0.4704124518846386534 logp*logq = 27.99359768857404603 -------------- ************************************* p = 113; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1549628481957.728542 -------------- Searches starting with [113,379]-exponents: u = 5, v = 39 n_start has 111 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(113,379) = 0.7325386194300419821 D2(113,379) = 0.02008634408411419260 C1(113,379) = 0.9575885849651550319 C2(113,379) = 1.621069914051542101 C3(113,379) = 4.425981463725280505 C4(113,379) = 3032 Sum = 4477.393158656097694 Averaged sum = 0.4473367128240681081 logp*logq = 28.06903632907015992 -------------- ************************************* p = 113; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1628479955673.581549 -------------- Searches starting with [113,383]-exponents: u = 5, v = 27 n_start has 81 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(113,383) = 0.7388733642981372138 D2(113,383) = 0.04057354366697082938 C1(113,383) = 1.052160239616336079 C2(113,383) = 1.700488506600453393 C3(113,383) = 5.126366321365803712 C4(113,383) = 3064 Sum = 4357.357253426604009 Averaged sum = 0.4353439158184238195 logp*logq = 28.11866815312737428 -------------- ************************************* p = 113; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1752654032401.151691 -------------- Searches starting with [113,389]-exponents: u = 5, v = 19 n_start has 60 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(113,389) = 0.7257019949837041572 D2(113,389) = 0.05002408619972115292 C1(113,389) = 0.9815146176152196543 C2(113,389) = 1.787596664353553452 C3(113,389) = 4.593572766125852714 C4(113,389) = 3112 Sum = 4485.169076295739920 Averaged sum = 0.4481136053847277370 logp*logq = 28.19215234494637855 -------------- ************************************* p = 113; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1929703502259.573833 -------------- Searches starting with [113,397]-exponents: u = 5, v = 15 n_start has 50 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(113,397) = 0.7871543279545276664 D2(113,397) = 0.01594807550172893946 C1(113,397) = 1.052670792349906341 C2(113,397) = 1.862693238148184637 C3(113,397) = 5.130433546033756795 C4(113,397) = 3176 Sum = 4786.150429621610417 Averaged sum = 0.4781846767530832667 logp*logq = 28.28838748127145320 -------------- ************************************* p = 113; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2023359242179.082273 -------------- Searches starting with [113,401]-exponents: u = 5, v = 11 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(113,401) = 0.6960230035809939456 D2(113,401) = 0.05059007946649678992 C1(113,401) = 0.9496623167323232631 C2(113,401) = 1.899092671893316346 C3(113,401) = 4.371820899663346831 C4(113,401) = 3208 Sum = 4629.991726349548129 Averaged sum = 0.4625828480716902916 logp*logq = 28.33578023728070961 -------------- ************************************* p = 113; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2221411174121.253784 -------------- Searches starting with [113,409]-exponents: u = 5, v = 11 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(113,409) = 0.8130513555055330399 D2(113,409) = 0.09690086992056321569 C1(113,409) = 1.291709928526776509 C2(113,409) = 1.291953213198101038 C3(113,409) = 7.437293886962256969 C4(113,409) = 3272 Sum = 4510.706166725817483 Averaged sum = 0.4506650181562411313 logp*logq = 28.42916377388252333 -------------- ************************************* p = 113; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2490133495945.055947 -------------- Searches starting with [113,419]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(113,419) = 0.7509698819415117412 D2(113,419) = 0.08647246409139082203 C1(113,419) = 0.9910078216301456938 C2(113,419) = 1.858142110950819591 C3(113,419) = 4.661813737804127801 C4(113,419) = 3352 Sum = 4570.699053999451098 Averaged sum = 0.4566589123788041860 logp*logq = 28.54335743779738782 -------------- ************************************* p = 113; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2546825635739.128280 -------------- Searches starting with [113,421]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(113,421) = 0.6964132674122369386 D2(113,421) = 0.07069745299128512963 C1(113,421) = 1.041427273790571320 C2(113,421) = 1.713682684691269715 C3(113,421) = 5.041606552444004082 C4(113,421) = 3368 Sum = 4375.274329168888042 Averaged sum = 0.4371340123058135720 logp*logq = 28.56586885090132250 -------------- ************************************* p = 113; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2845743520226.378417 -------------- Searches starting with [113,431]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(113,431) = 1.054791944053098423 D2(113,431) = 0.02316801282053984575 C1(113,431) = 1.384021049191538010 C2(113,431) = 1.411572742592306867 C3(113,431) = 8.584005456840668312 C4(113,431) = 3448 Sum = 4621.560025919847091 Averaged sum = 0.4617404361994052443 logp*logq = 28.67684549214883854 -------------- ************************************* p = 113; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2908712286536.547992 -------------- Searches starting with [113,433]-exponents: u = 5, v = 7 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(113,433) = 0.7291322114642537181 D2(113,433) = 0.01524088086247726865 C1(113,433) = 1.185095765250875022 C2(113,433) = 1.301082009163957671 C3(113,433) = 6.302179445873207092 C4(113,433) = 3464 Sum = 4639.023244016625181 Averaged sum = 0.4634851877327030853 logp*logq = 28.69873158595640074 -------------- ************************************* p = 113; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3104234950913.686433 -------------- Searches starting with [113,439]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(113,439) = 0.7790873346769612590 D2(113,439) = 0.01168519955411015605 C1(113,439) = 1.283785384593894709 C2(113,439) = 1.273262790062148995 C3(113,439) = 7.346303686101098921 C4(113,439) = 3512 Sum = 4629.637632730619414 Averaged sum = 0.4625474705495673308 logp*logq = 28.76378840833395073 -------------- ************************************* p = 113; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3240236715440.433759 -------------- Searches starting with [113,443]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(113,443) = 0.6767228339347107336 D2(113,443) = 0.02386976599541625164 C1(113,443) = 0.9356115401821951582 C2(113,443) = 1.490348300146438710 C3(113,443) = 4.277434911423302392 C4(113,443) = 3544 Sum = 4513.148362161190336 Averaged sum = 0.4509090180998291873 logp*logq = 28.80666750338513248 -------------- ************************************* p = 113; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3453003707742.891430 -------------- Searches starting with [113,449]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(113,449) = 0.7872264307600220892 D2(113,449) = 0.04513529246031278570 C1(113,449) = 1.143330296521106183 C2(113,449) = 1.712710050218934592 C3(113,449) = 5.906291712108212186 C4(113,449) = 3592 Sum = 3910.936695194182398 Averaged sum = 0.3907420017178721548 logp*logq = 28.87026560811019463 -------------- ************************************* p = 113; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3753664412994.888052 -------------- Searches starting with [113,457]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(113,457) = 0.6571752673190501137 D2(113,457) = 0.07609979602684274192 C1(113,457) = 0.9096672868459309117 C2(113,457) = 1.886378607709267629 C3(113,457) = 4.108477052221890662 C4(113,457) = 3656 Sum = 4291.665513400741501 Averaged sum = 0.4287806487561935759 logp*logq = 28.95375365558305587 -------------- ************************************* p = 113; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3911535781411.446169 -------------- Searches starting with [113,461]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(113,461) = 0.7092400690172527794 D2(113,461) = 0.09026194601257070142 C1(113,461) = 0.9938324275457688875 C2(113,461) = 1.902126446191506729 C3(113,461) = 4.682313158750132320 C4(113,461) = 3688 Sum = 3664.202503763197327 Averaged sum = 0.3660907686845036794 logp*logq = 28.99495119577646467 -------------- ************************************* p = 113; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3992409742703.932863 -------------- Searches starting with [113,463]-exponents: u = 9, v = 3 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(113,463) = 0.6365498670908008478 D2(113,463) = 0.09750297583606777795 C1(113,463) = 0.8662859939198154644 C2(113,463) = 1.910155054499691526 C3(113,463) = 3.840740140050428128 C4(113,463) = 3704 Sum = 3970.517225365546042 Averaged sum = 0.3966946973089765253 logp*logq = 29.01541611006844206 -------------- ************************************* p = 113; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4158111257655.119964 -------------- Searches starting with [113,467]-exponents: u = 13, v = 3 n_start has 35 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(113,467) = 1.195389101164849925 D2(113,467) = 0.06204819005141981003 C1(113,467) = 1.919335131485300291 C2(113,467) = 1.064131037647865406 C3(113,467) = 19.71624610968715934 C4(113,467) = 3736 Sum = 2159.351541200020415 Averaged sum = 0.2157409872314936972 logp*logq = 29.05608206249920791 -------------- ************************************* p = 113; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4687976826039.283593 -------------- Searches starting with [113,479]-exponents: u = 13, v = 3 n_start has 35 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(113,479) = 0.9460539738411168163 D2(113,479) = 0.01816855560411916870 C1(113,479) = 1.327749683285844385 C2(113,479) = 1.966421080436213943 C3(113,479) = 7.865532445208459808 C4(113,479) = 3832 Sum = 4807.035620815478692 Averaged sum = 0.4802713178954419714 logp*logq = 29.17602222494003573 -------------- ************************************* p = 113; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5069809883145.875170 -------------- Searches starting with [113,487]-exponents: u = 17, v = 3 n_start has 43 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(113,487) = 0.6934481180663665591 D2(113,487) = 0.1409352801463402141 C1(113,487) = 0.9453256981111864038 C2(113,487) = 1.987433965481994151 C3(113,487) = 4.342469601119011022 C4(113,487) = 3896 Sum = 4057.098506252491603 Averaged sum = 0.4053450400891689083 logp*logq = 29.25432443443523917 -------------- ************************************* p = 113; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5269699674343.943724 -------------- Searches starting with [113,491]-exponents: u = 17, v = 3 n_start has 43 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(113,491) = 0.6387945953613921083 D2(113,491) = 0.09190925319303867655 C1(113,491) = 0.8557034869758793039 C2(113,491) = 1.940158129549342945 C3(113,491) = 3.778119936013481671 C4(113,491) = 3928 Sum = 4409.445167348556507 Averaged sum = 0.4405480235136933267 logp*logq = 29.29299448906743033 -------------- ************************************* p = 113; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5688105633308.211665 -------------- Searches starting with [113,499]-exponents: u = 21, v = 3 n_start has 52 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(113,499) = 0.7383696341023175796 D2(113,499) = 0.01045170219561187324 C1(113,499) = 1.037950828192577718 C2(113,499) = 1.862158202591009250 C3(113,499) = 5.014454168408913271 C4(113,499) = 3992 Sum = 3958.135965572941261 Averaged sum = 0.3954576846411171207 logp*logq = 29.36939837951376225 -------------- ************************************* p = 113; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5906899529149.761177 -------------- Searches starting with [113,503]-exponents: u = 25, v = 3 n_start has 60 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(113,503) = 1.054002765857277245 D2(113,503) = 0.09148324021936657917 C1(113,503) = 1.562645940678067880 C2(113,503) = 1.867755317222014704 C3(113,503) = 11.32906658640294355 C4(113,503) = 4024 Sum = 2629.041492927608252 Averaged sum = 0.2626677483192734790 logp*logq = 29.40714219533123371 -------------- ************************************* p = 113; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6247477100101.302023 -------------- Searches starting with [113,509]-exponents: u = 29, v = 3 n_start has 68 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(113,509) = 0.7970286989687020578 D2(113,509) = 0.01610267743871702872 C1(113,509) = 1.164707322331312501 C2(113,509) = 1.794828056974649196 C3(113,509) = 6.105711623800431262 C4(113,509) = 4072 Sum = 3470.745751426986065 Averaged sum = 0.3467624889026861889 logp*logq = 29.46319883419882916 -------------- ************************************* p = 113; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6975021627123.812469 -------------- Searches starting with [113,521]-exponents: u = 41, v = 3 n_start has 93 digits starting right neighbors generation We generated 510 left neighbors We generated 9500 right neighbors We generated 10009 non-negative rho_i D1(113,521) = 0.6118900750120118735 D2(113,521) = 0.007543553418104580685 C1(113,521) = 0.8615935284873027092 C2(113,521) = 1.682657767615759523 C3(113,521) = 3.812846201274231186 C4(113,521) = 4168 Sum = 4470.878792153235803 Averaged sum = 0.4466858619395779601 logp*logq = 29.57335654429408267 -------------- ************************************* p = 113; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7102508613798.760356 -------------- Searches starting with [113,523]-exponents: u = 45, v = 3 n_start has 101 digits starting right neighbors generation We generated 565 left neighbors We generated 9445 right neighbors We generated 10009 non-negative rho_i D1(113,523) = 0.6122393046074628604 D2(113,523) = 0.03129507496401483349 C1(113,523) = 0.8038705057980305964 C2(113,523) = 1.666840458654244198 C3(113,523) = 3.485845311141160804 C4(113,523) = 4184 Sum = 4455.477059780865536 Averaged sum = 0.4451470736118359013 logp*logq = 29.59146916345807510 -------------- ************************************* p = 113; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8334574965319.982797 -------------- Searches starting with [113,541]-exponents: u = 213, v = 3 n_start has 446 digits --- performed 5000 steps in the continued fraction search [113,541]-exponents: u = 22, v = 121 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(113,541) = 0.6218462007378060886 D2(113,541) = 0.05078988198232221920 C1(113,541) = 0.8020189909951928574 C2(113,541) = 1.330748879079679371 C3(113,541) = 3.475834100311091569 C4(113,541) = 4328 Sum = 5136.867095076283125 Averaged sum = 0.5137380833159599085 logp*logq = 29.75143363686825971 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(113,541) = 0.6218462007378060886 D2(113,541) = 0.05078988198232221920 C1(113,541) = 0.8020189909951928574 C2(113,541) = 1.330748879079679371 C3(113,541) = 3.475834100311091569 C4(113,541) = 4328 Sum = 5136.867095076283125 Averaged sum = 0.5137380833159599085 logp*logq = 29.75143363686825971 -------------- ************************************* p = 113; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8780675635489.900514 -------------- Searches starting with [113,547]-exponents: u = 4, v = 1244 n_start has 3415 digits --- performed 5000 steps in the continued fraction search [113,547]-exponents: u = 96, v = 1172 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(113,547) = 0.6884816771114514207 D2(113,547) = 0.5168176654600354226 C1(113,547) = 0.8327321530725460385 C2(113,547) = 1.451900355102111751 C3(113,547) = 3.645682057667034967 C4(113,547) = 4376 Sum = 6212.900066305869818 Averaged sum = 0.6213521418447714589 logp*logq = 29.80357447226527749 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(113,547) = 0.6884816771114514207 D2(113,547) = 0.5168176654600354226 C1(113,547) = 0.8327321530725460385 C2(113,547) = 1.451900355102111751 C3(113,547) = 3.645682057667034967 C4(113,547) = 4376 Sum = 6212.900066305869818 Averaged sum = 0.6213521418447714589 logp*logq = 29.80357447226527749 -------------- ************************************* p = 113; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9565824341725.475947 -------------- Searches starting with [113,557]-exponents: u = 4, v = 80 n_start has 228 digits starting right neighbors generation We generated 3086 left neighbors We generated 6924 right neighbors We generated 10009 non-negative rho_i D1(113,557) = 0.5886748545127338419 D2(113,557) = 0.009926970828221922094 C1(113,557) = 0.7843681516634672269 C2(113,557) = 1.463383817424561456 C3(113,557) = 3.381827167424865902 C4(113,557) = 4456 Sum = 4402.291042244816278 Averaged sum = 0.4398332542956155738 logp*logq = 29.88921789824630941 -------------- ************************************* p = 113; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10062824097146.19403 -------------- Searches starting with [113,563]-exponents: u = 4, v = 50 n_start has 146 digits starting right neighbors generation We generated 1161 left neighbors We generated 8849 right neighbors We generated 10009 non-negative rho_i D1(113,563) = 0.6772224033229780867 D2(113,563) = 0.03088237502493751311 C1(113,563) = 0.9240105473150384549 C2(113,563) = 1.578487058089521664 C3(113,563) = 4.201043065951008593 C4(113,563) = 4504 Sum = 4747.151047598487198 Averaged sum = 0.4742882453390435806 logp*logq = 29.93986896656659433 -------------- ************************************* p = 113; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10579963449312.48592 -------------- Searches starting with [113,569]-exponents: u = 4, v = 38 n_start has 113 digits starting right neighbors generation We generated 750 left neighbors We generated 9260 right neighbors We generated 10009 non-negative rho_i D1(113,569) = 0.7744302935301892531 D2(113,569) = 0.02130426280527734323 C1(113,569) = 0.9998111581002869453 C2(113,569) = 1.656261278870547390 C3(113,569) = 4.726001281308993368 C4(113,569) = 4552 Sum = 3842.429659220588097 Averaged sum = 0.3838974582096701067 logp*logq = 29.98998308765637166 -------------- ************************************* p = 113; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10756920495043.87763 -------------- Searches starting with [113,571]-exponents: u = 4, v = 35 n_start has 105 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(113,571) = 0.6551130057074244614 D2(113,571) = 0.0005803773741137066736 C1(113,571) = 0.9194324176984512841 C2(113,571) = 1.673960503451605506 C3(113,571) = 4.171273152273655047 C4(113,571) = 4568 Sum = 3913.060710013167612 Averaged sum = 0.3909542122103274664 logp*logq = 30.00657043035397351 -------------- ************************************* p = 113; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11301833487150.05731 -------------- Searches starting with [113,577]-exponents: u = 4, v = 26 n_start has 81 digits starting right neighbors generation We generated 352 left neighbors We generated 9658 right neighbors We generated 10009 non-negative rho_i D1(113,577) = 0.8957369553558123360 D2(113,577) = 0.01944176712155746583 C1(113,577) = 1.275534963255346691 C2(113,577) = 1.739533743892328057 C3(113,577) = 7.252754348451303562 C4(113,577) = 4616 Sum = 4796.734655849933975 Averaged sum = 0.4792421476521065016 logp*logq = 30.05598608398484824 -------------- ************************************* p = 113; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12258181128636.29989 -------------- Searches starting with [113,587]-exponents: u = 4, v = 20 n_start has 64 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(113,587) = 0.7038941258646452869 D2(113,587) = 0.05542804396572516150 C1(113,587) = 0.9474892610744917585 C2(113,587) = 1.833383248106286683 C3(113,587) = 4.357088410943935781 C4(113,587) = 4696 Sum = 4635.215035286625615 Averaged sum = 0.4631047092903012903 logp*logq = 30.13721467724417681 -------------- ************************************* p = 113; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12861895539001.65576 -------------- Searches starting with [113,593]-exponents: u = 4, v = 17 n_start has 56 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(113,593) = 0.7176563525631337876 D2(113,593) = 0.008592093370132885630 C1(113,593) = 0.9576852123445522423 C2(113,593) = 1.858112781880979675 C3(113,593) = 4.426645846065220957 C4(113,593) = 4744 Sum = 4599.560326337717196 Averaged sum = 0.4595424444337813164 logp*logq = 30.18529022193211172 -------------- ************************************* p = 113; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13488812800872.00360 -------------- Searches starting with [113,599]-exponents: u = 4, v = 17 n_start has 56 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(113,599) = 0.9712025605224713557 D2(113,599) = 0.06114957632774829540 C1(113,599) = 1.452366254638192297 C2(113,599) = 1.912325645313371805 C3(113,599) = 9.545465486992313876 C4(113,599) = 4792 Sum = 2413.231653403364579 Averaged sum = 0.2411061697875276829 logp*logq = 30.23288177640979129 -------------- ************************************* p = 113; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13703052722443.45333 -------------- Searches starting with [113,601]-exponents: u = 4, v = 14 n_start has 48 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(113,601) = 0.7282886483436124869 D2(113,601) = 0.08022029945602167379 C1(113,601) = 0.9592694733582514247 C2(113,601) = 1.931944426024867454 C3(113,601) = 4.437553006574363412 C4(113,601) = 4808 Sum = 4381.341532124507237 Averaged sum = 0.4377401870441110238 logp*logq = 30.24863975039622656 -------------- ************************************* p = 113; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14361913786685.37722 -------------- Searches starting with [113,607]-exponents: u = 4, v = 14 n_start has 48 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(113,607) = 0.7636708425925627457 D2(113,607) = 0.1438785957021272819 C1(113,607) = 1.052238565157981318 C2(113,607) = 1.997235861623785835 C3(113,607) = 5.126990077971632286 C4(113,607) = 4856 Sum = 4060.639354919679342 Averaged sum = 0.4056988065660584815 logp*logq = 30.29560094272199444 -------------- ************************************* p = 113; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15045502333624.78638 -------------- Searches starting with [113,613]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(113,613) = 0.7304547066452442478 D2(113,613) = 0.01815197472112772786 C1(113,613) = 1.115814523893584430 C2(113,613) = 1.966569983703791156 C3(113,613) = 5.659162550875983116 C4(113,613) = 4904 Sum = 4304.043356206962092 Averaged sum = 0.4300173200326668091 logp*logq = 30.34210021419525792 -------------- ************************************* p = 113; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15515297062400.02023 -------------- Searches starting with [113,617]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(113,617) = 0.7222781170515580509 D2(113,617) = 0.04372760029033198114 C1(113,617) = 1.004868717323695638 C2(113,617) = 1.993266057782382771 C3(113,617) = 4.763276276088927221 C4(113,617) = 4936 Sum = 4318.292979915702989 Averaged sum = 0.4314410010905887689 logp*logq = 30.37284756043257599 -------------- ************************************* p = 113; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15754490686137.34704 -------------- Searches starting with [113,619]-exponents: u = 4, v = 11 n_start has 39 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(113,619) = 0.9093551143848542672 D2(113,619) = 0.05705135564032647404 C1(113,619) = 1.170594733252226338 C2(113,619) = 2.007147272165842522 C3(113,619) = 6.161806569405573136 C4(113,619) = 4952 Sum = 3966.563947858242336 Averaged sum = 0.3962997250332942688 logp*logq = 30.38814656348972794 -------------- ************************************* p = 113; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17251413500209.66190 -------------- Searches starting with [113,631]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(113,631) = 1.090417263477380825 D2(113,631) = 0.08182310916433410819 C1(113,631) = 1.715894777909668651 C2(113,631) = 1.168621883631881911 C3(113,631) = 14.37404660732897669 C4(113,631) = 5048 Sum = 3388.104386434619341 Averaged sum = 0.3385057834383674034 logp*logq = 30.47891519808999113 -------------- ************************************* p = 113; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18582599102222.42528 -------------- Searches starting with [113,641]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(113,641) = 0.6144862771608071517 D2(113,641) = 0.1030270269032389587 C1(113,641) = 0.8183520420324419965 C2(113,641) = 1.915426659779505095 C3(113,641) = 3.565148814413427342 C4(113,641) = 5128 Sum = 4475.512868199858081 Averaged sum = 0.4471488528524186313 logp*logq = 30.55324672662580942 -------------- ************************************* p = 113; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18858291554853.27983 -------------- Searches starting with [113,643]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(113,643) = 0.8508945529422835588 D2(113,643) = 0.09785672616264259072 C1(113,643) = 1.127463821478333384 C2(113,643) = 1.910842032563427967 C3(113,643) = 5.762501242667533057 C4(113,643) = 5144 Sum = 4650.596246278056135 Averaged sum = 0.4646414473252129219 logp*logq = 30.56797380339198844 -------------- ************************************* p = 113; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19419348514978.20107 -------------- Searches starting with [113,647]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(113,647) = 0.5697296816765554367 D2(113,647) = 0.08119496285638921058 C1(113,647) = 0.8413614690844732076 C2(113,647) = 1.759082495517200151 C3(113,647) = 3.694879765565439161 C4(113,647) = 5176 Sum = 4425.698411542466895 Averaged sum = 0.4421718864564358971 logp*logq = 30.59729103111151256 -------------- ************************************* p = 113; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20285526491814.91704 -------------- Searches starting with [113,653]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(113,653) = 0.5833393184318389570 D2(113,653) = 0.004581461055000968764 C1(113,653) = 0.7873038822241972490 C2(113,653) = 2.099343097318012168 C3(113,653) = 3.397284477743838010 C4(113,653) = 5224 Sum = 4468.446822022517236 Averaged sum = 0.4464428836070054187 logp*logq = 30.64092876698590169 -------------- ************************************* p = 113; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21181883314754.90252 -------------- Searches starting with [113,659]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(113,659) = 0.7408790647932453287 D2(113,659) = 0.02771764977502708082 C1(113,659) = 0.9642049239569007086 C2(113,659) = 2.124166091010584067 C3(113,659) = 4.471704673040032706 C4(113,659) = 5272 Sum = 4120.518584351950233 Averaged sum = 0.4116813452244929796 logp*logq = 30.68416737163666101 -------------- ************************************* p = 113; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21487506738348.54583 -------------- Searches starting with [113,661]-exponents: u = 4, v = 8 n_start has 31 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(113,661) = 0.7535788959674367444 D2(113,661) = 0.03563979406257138384 C1(113,661) = 0.9960214995603299349 C2(113,661) = 2.132647027449884104 C3(113,661) = 4.698262208245732963 C4(113,661) = 5288 Sum = 4251.663093464993198 Averaged sum = 0.4247840037431305023 logp*logq = 30.69849280023134898 -------------- ************************************* p = 113; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23395049355845.65190 -------------- Searches starting with [113,673]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(113,673) = 0.6421030220180005694 D2(113,673) = 0.03255239418480190654 C1(113,673) = 0.8745782097191142668 C2(113,673) = 2.032900853824406010 C3(113,673) = 3.890532334712723315 C4(113,673) = 5384 Sum = 4496.504586492131248 Averaged sum = 0.4492461371257999048 logp*logq = 30.78354554991946086 -------------- ************************************* p = 113; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24059710210155.20942 -------------- Searches starting with [113,677]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(113,677) = 0.5997716044024274524 D2(113,677) = 0.02374004491532885165 C1(113,677) = 0.8063134768694438513 C2(113,677) = 2.025317643470379902 C3(113,677) = 3.499098684412944538 C4(113,677) = 5416 Sum = 4426.460540646092344 Averaged sum = 0.4422480308368560639 logp*logq = 30.81155978193684385 -------------- ************************************* p = 113; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25084526503994.74319 -------------- Searches starting with [113,683]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(113,683) = 0.6615352992878934594 D2(113,683) = 0.01093652323146855890 C1(113,683) = 0.9667342691053073891 C2(113,683) = 2.014344027485901613 C3(113,683) = 4.489308632426931878 C4(113,683) = 5464 Sum = 4211.958424811724343 Averaged sum = 0.4208171070847961178 logp*logq = 30.85327229802366072 -------------- ************************************* p = 113; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26504153166825.04305 -------------- Searches starting with [113,691]-exponents: u = 11, v = 5 n_start has 37 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(113,691) = 0.7658872693616043287 D2(113,691) = 0.1461592284515032454 C1(113,691) = 1.050889203503157894 C2(113,691) = 1.928806213340699032 C3(113,691) = 5.116254845316479149 C4(113,691) = 5528 Sum = 4062.153159795528413 Averaged sum = 0.4058500509337125000 logp*logq = 30.90832255991733177 -------------- ************************************* p = 113; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28366953294675.48898 -------------- Searches starting with [113,701]-exponents: u = 18, v = 5 n_start has 52 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(113,701) = 0.5934791483659474858 D2(113,701) = 0.1400071152845252059 C1(113,701) = 0.8044656145446789993 C2(113,701) = 1.988843662517679189 C3(113,701) = 3.489069206151800848 C4(113,701) = 5608 Sum = 4414.736056096894653 Averaged sum = 0.4410766366367164205 logp*logq = 30.97624596718385853 -------------- ************************************* p = 113; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29930246089138.11509 -------------- Searches starting with [113,709]-exponents: u = 18, v = 5 n_start has 52 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(113,709) = 0.6970496473432602757 D2(113,709) = 0.08750525106170467754 C1(113,709) = 1.033464750425803911 C2(113,709) = 1.938603471663271070 C3(113,709) = 4.979632158467751104 C4(113,709) = 5672 Sum = 4280.802732272522696 Averaged sum = 0.4276953474145791483 logp*logq = 31.02989065991565591 -------------- ************************************* p = 113; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31979035252617.06573 -------------- Searches starting with [113,719]-exponents: u = 32, v = 5 n_start has 80 digits starting right neighbors generation We generated 477 left neighbors We generated 9533 right neighbors We generated 10009 non-negative rho_i D1(113,719) = 0.8434259413906965442 D2(113,719) = 0.03181221471477682533 C1(113,719) = 1.221456739454791956 C2(113,719) = 1.885701437595399014 C3(113,719) = 6.668384757924698976 C4(113,719) = 5752 Sum = 2971.564497378868943 Averaged sum = 0.2968892494134148209 logp*logq = 31.09610165566909386 -------------- ************************************* p = 113; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33696354362580.70064 -------------- Searches starting with [113,727]-exponents: u = 39, v = 5 n_start has 95 digits starting right neighbors generation We generated 594 left neighbors We generated 9416 right neighbors We generated 10009 non-negative rho_i D1(113,727) = 0.6811054365633754150 D2(113,727) = 0.05660699881966823171 C1(113,727) = 0.9574548393524915958 C2(113,727) = 1.811228711086534602 C3(113,727) = 4.425062031510879299 C4(113,727) = 5816 Sum = 4239.658047596056920 Averaged sum = 0.4235845786388307443 logp*logq = 31.14841076828316977 -------------- ************************************* p = 113; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35031410904801.75424 -------------- Searches starting with [113,733]-exponents: u = 60, v = 5 n_start has 138 digits starting right neighbors generation We generated 1461 left neighbors We generated 8549 right neighbors We generated 10009 non-negative rho_i D1(113,733) = 0.8136146443691838873 D2(113,733) = 0.009517229128521727385 C1(113,733) = 1.055216957907017787 C2(113,733) = 1.765719066967274138 C3(113,733) = 5.150765332097843169 C4(113,733) = 5864 Sum = 3970.677585181443211 Averaged sum = 0.3967107188711602768 logp*logq = 31.18726622936943040 -------------- ************************************* p = 113; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36407828293490.03876 -------------- Searches starting with [113,739]-exponents: u = 95, v = 5 n_start has 210 digits starting right neighbors generation We generated 3297 left neighbors We generated 6713 right neighbors We generated 10009 non-negative rho_i D1(113,739) = 0.8070240995019882937 D2(113,739) = 0.01835537574298203406 C1(113,739) = 1.078077175219096513 C2(113,739) = 1.648319971894432252 C3(113,739) = 5.336957592597112589 C4(113,739) = 5912 Sum = 4869.936621734208143 Averaged sum = 0.4865557619876319455 logp*logq = 31.22580493045647775 -------------- ************************************* p = 113; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37348876809058.87161 -------------- Searches starting with [113,743]-exponents: u = 172, v = 5 n_start has 368 digits --- performed 5000 steps in the continued fraction search [113,743]-exponents: u = 9, v = 88 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(113,743) = 0.7930756267314887817 D2(113,743) = 0.02735246238357581133 C1(113,743) = 1.032404120606745287 C2(113,743) = 1.519381025921109677 C3(113,743) = 4.971434702788876981 C4(113,743) = 5944 Sum = 4907.781511363925542 Averaged sum = 0.4908272338597785320 logp*logq = 31.25132395500858491 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(113,743) = 0.7930756267314887817 D2(113,743) = 0.02735246238357581133 C1(113,743) = 1.032404120606745287 C2(113,743) = 1.519381025921109677 C3(113,743) = 4.971434702788876981 C4(113,743) = 5944 Sum = 4907.781511363925542 Averaged sum = 0.4908272338597785320 logp*logq = 31.25132395500858491 -------------- ************************************* p = 113; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39288478382924.47019 -------------- Searches starting with [113,751]-exponents: u = 7, v = 307 n_start has 898 digits --- performed 5000 steps in the continued fraction search [113,751]-exponents: u = 293, v = 91 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(113,751) = 0.6894058911760639079 D2(113,751) = 0.3256598140968698670 C1(113,751) = 0.8660125438009841409 C2(113,751) = 1.476387969521221121 C3(113,751) = 3.839109055401517307 C4(113,751) = 6008 Sum = 5476.477634652264155 Averaged sum = 0.5477025337185982754 logp*logq = 31.30195242090281667 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(113,751) = 0.6894058911760639079 D2(113,751) = 0.3256598140968698670 C1(113,751) = 0.8660125438009841409 C2(113,751) = 1.476387969521221121 C3(113,751) = 3.839109055401517307 C4(113,751) = 6008 Sum = 5476.477634652264155 Averaged sum = 0.5477025337185982754 logp*logq = 31.30195242090281667 -------------- ************************************* p = 113; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40794610381465.87624 -------------- Searches starting with [113,757]-exponents: u = 7, v = 82 n_start has 251 digits starting right neighbors generation We generated 4729 left neighbors We generated 5281 right neighbors We generated 10009 non-negative rho_i D1(113,757) = 0.6786042079794291077 D2(113,757) = 0.01697183628468045832 C1(113,757) = 0.8980298314786927276 C2(113,757) = 1.613515927394790786 C3(113,757) = 4.034874128844718559 C4(113,757) = 6056 Sum = 4715.228520358000974 Averaged sum = 0.4710988630590469551 logp*logq = 31.33957109011940636 -------------- ************************************* p = 113; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41823726647908.89647 -------------- Searches starting with [113,761]-exponents: u = 7, v = 57 n_start has 179 digits starting right neighbors generation We generated 2456 left neighbors We generated 7554 right neighbors We generated 10009 non-negative rho_i D1(113,761) = 0.6858128861669724765 D2(113,761) = 0.009729166414331786410 C1(113,761) = 0.9289273275130437353 C2(113,761) = 1.710990251701434301 C3(113,761) = 4.233251763195800826 C4(113,761) = 6088 Sum = 4017.711470472101297 Averaged sum = 0.4014098781568689476 logp*logq = 31.36448491757788665 -------------- ************************************* p = 113; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43943336077420.64055 -------------- Searches starting with [113,769]-exponents: u = 7, v = 32 n_start has 107 digits starting right neighbors generation We generated 822 left neighbors We generated 9188 right neighbors We generated 10009 non-negative rho_i D1(113,769) = 1.033076395750125762 D2(113,769) = 0.02903432043120807614 C1(113,769) = 1.353773938626554628 C2(113,769) = 1.808481846609019991 C3(113,769) = 8.190013960534278512 C4(113,769) = 6152 Sum = 4449.299452418472188 Averaged sum = 0.4445298683603229282 logp*logq = 31.41392210347635869 -------------- ************************************* p = 113; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45034418339163.93421 -------------- Searches starting with [113,773]-exponents: u = 7, v = 27 n_start has 93 digits starting right neighbors generation We generated 574 left neighbors We generated 9436 right neighbors We generated 10009 non-negative rho_i D1(113,773) = 0.8369694917790170836 D2(113,773) = 0.05741939967858850636 C1(113,773) = 1.131193881015753705 C2(113,773) = 1.837701362654127342 C3(113,773) = 5.795987089474506177 C4(113,773) = 6184 Sum = 4769.407687204107065 Averaged sum = 0.4765119080032078195 logp*logq = 31.43844816533007225 -------------- ************************************* p = 113; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49022524591745.04842 -------------- Searches starting with [113,787]-exponents: u = 7, v = 17 n_start has 64 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(113,787) = 0.6883892481766964138 D2(113,787) = 0.04416385734527953047 C1(113,787) = 0.9067151167082760031 C2(113,787) = 1.936708648099454316 C3(113,787) = 4.089679446995702899 C4(113,787) = 6296 Sum = 4439.073191172667147 Averaged sum = 0.4435081617716722097 logp*logq = 31.52330099396195930 -------------- ************************************* p = 113; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52037775729259.39392 -------------- Searches starting with [113,797]-exponents: u = 7, v = 12 n_start has 50 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(113,797) = 0.5624949950681291184 D2(113,797) = 0.08928373962006793284 C1(113,797) = 0.7718106058015293643 C2(113,797) = 1.984000879796477209 C3(113,797) = 3.316498625161260355 C4(113,797) = 6376 Sum = 4426.719021032959401 Averaged sum = 0.4422738556332260367 logp*logq = 31.58299102710020938 -------------- ************************************* p = 113; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55847073291272.88142 -------------- Searches starting with [113,809]-exponents: u = 7, v = 12 n_start has 50 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(113,809) = 0.9408160863945336103 D2(113,809) = 0.09830729344061997851 C1(113,809) = 1.456675883724110776 C2(113,809) = 1.250491058161526485 C3(113,809) = 9.609581601213876776 C4(113,809) = 6472 Sum = 3511.028036261849699 Averaged sum = 0.3507870952404685482 logp*logq = 31.65363823704959522 -------------- ************************************* p = 113; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56502771472878.16809 -------------- Searches starting with [113,811]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(113,811) = 0.9777814291535336945 D2(113,811) = 0.09704172288589184107 C1(113,811) = 1.513872038607508684 C2(113,811) = 1.228688759636501820 C3(113,811) = 10.50244025046855185 C4(113,811) = 6488 Sum = 3270.477706667959668 Averaged sum = 0.3267536923436866488 logp*logq = 31.66531080549521589 -------------- ************************************* p = 113; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59872906396665.79605 -------------- Searches starting with [113,821]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(113,821) = 0.7204428171499751339 D2(113,821) = 0.1126269180263738963 C1(113,821) = 1.016177539359368376 C2(113,821) = 1.962079205269985068 C3(113,821) = 4.847691155703926780 C4(113,821) = 6568 Sum = 3999.355289476170814 Averaged sum = 0.3995759106280518347 logp*logq = 31.72324520481306767 -------------- ************************************* p = 113; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60565550310198.16071 -------------- Searches starting with [113,823]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(113,823) = 0.9834554051492219467 D2(113,823) = 0.1057634282811181255 C1(113,823) = 1.341838608281363947 C2(113,823) = 1.955678626822761016 C3(113,823) = 8.039569886273040751 C4(113,823) = 6584 Sum = 4698.790240400151759 Averaged sum = 0.4694565131781548366 logp*logq = 31.73474737063025422 -------------- ************************************* p = 113; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61969787495381.37632 -------------- Searches starting with [113,827]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(113,827) = 1.389928356874112562 D2(113,827) = 0.09248799297460999076 C1(113,827) = 2.045022357523429406 C2(113,827) = 1.943325594099234997 C3(113,827) = 23.96710077030153571 C4(113,827) = 6616 Sum = 5047.587838458026225 Averaged sum = 0.5043049094273180363 logp*logq = 31.75766808374356836 -------------- ************************************* p = 113; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62681464662890.01459 -------------- Searches starting with [113,829]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(113,829) = 0.7245113651993022538 D2(113,829) = 0.08028526182417445995 C1(113,829) = 0.9506514796096696398 C2(113,829) = 1.807340986969399606 C3(113,829) = 4.378543535138516703 C4(113,829) = 6632 Sum = 4257.942806164106911 Averaged sum = 0.4254114103470983026 logp*logq = 31.76908690045174905 -------------- ************************************* p = 113; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66337130015255.11000 -------------- Searches starting with [113,839]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(113,839) = 0.6858965366760461058 D2(113,839) = 0.04956022715778530355 C1(113,839) = 0.9626348240938383798 C2(113,839) = 1.696640530919075831 C3(113,839) = 4.460811696219832171 C4(113,839) = 6712 Sum = 4167.054317755293728 Averaged sum = 0.4163307341148260293 logp*logq = 31.82577088675787110 -------------- ************************************* p = 113; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71735271643159.71908 -------------- Searches starting with [113,853]-exponents: u = 7, v = 7 n_start has 35 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(113,853) = 1.025678200251878806 D2(113,853) = 0.004035547092991895082 C1(113,853) = 1.324448990749461732 C2(113,853) = 2.090079515164383879 C3(113,853) = 7.825307449260044346 C4(113,853) = 6824 Sum = 4457.296218632033064 Averaged sum = 0.4453288259198754185 logp*logq = 31.90400367623077153 -------------- ************************************* p = 113; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73339477251756.82527 -------------- Searches starting with [113,857]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(113,857) = 2.225908484203657101 D2(113,857) = 0.004208921878401435502 C1(113,857) = 3.727553607684241447 C2(113,857) = 1.035642908079543019 C3(113,857) = 327.1047166302835396 C4(113,857) = 6856 Sum = 2684.191966018584987 Averaged sum = 0.2681778365489644307 logp*logq = 31.92612015080916763 -------------- ************************************* p = 113; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74152115033695.16539 -------------- Searches starting with [113,859]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 42 left neighbors We generated 9968 right neighbors We generated 10009 non-negative rho_i D1(113,859) = 1.062219292599131883 D2(113,859) = 0.003096747989314397706 C1(113,859) = 1.778814980210762618 C2(113,859) = 2.269715186195779144 C3(113,859) = 15.84989367060533157 C4(113,859) = 6872 Sum = 4014.956148593656758 Averaged sum = 0.4011345937250131639 logp*logq = 31.93713970782376951 -------------- ************************************* p = 113; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75798684994718.16670 -------------- Searches starting with [113,863]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(113,863) = 0.7569265163263182033 D2(113,863) = 0.009950949309383076808 C1(113,863) = 1.247268638084349591 C2(113,863) = 1.370129329150858454 C3(113,863) = 6.941189561640693230 C4(113,863) = 6904 Sum = 4150.847661003014043 Averaged sum = 0.4147115257271469720 logp*logq = 31.95910206007174814 -------------- ************************************* p = 113; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81790041425322.69540 -------------- Searches starting with [113,877]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(113,877) = 0.7592065487004180567 D2(113,877) = 0.02518718320777861425 C1(113,877) = 1.072758276817995489 C2(113,877) = 1.710248495159197727 C3(113,877) = 5.293044072140511659 C4(113,877) = 7016 Sum = 4219.557401868549975 Averaged sum = 0.4215763214975072410 logp*logq = 32.03517660915925787 -------------- ************************************* p = 113; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83568621014051.40489 -------------- Searches starting with [113,881]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(113,881) = 0.8277433862862066765 D2(113,881) = 0.02891234699074257147 C1(113,881) = 1.076697595857162650 C2(113,881) = 1.714671997717630478 C3(113,881) = 5.325532733014989737 C4(113,881) = 7048 Sum = 4253.625222384680489 Averaged sum = 0.4249800402022859915 logp*logq = 32.05668921883711830 -------------- ************************************* p = 113; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84469270691841.98014 -------------- Searches starting with [113,883]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(113,883) = 0.8636354994433490127 D2(113,883) = 0.03254439045829342392 C1(113,883) = 1.247317749014817035 C2(113,883) = 1.815126797708054571 C3(113,883) = 6.941719108415311388 C4(113,883) = 7064 Sum = 4048.199952036966974 Averaged sum = 0.4044559848173610724 logp*logq = 32.06740892369960454 -------------- ************************************* p = 113; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86293525210865.66122 -------------- Searches starting with [113,887]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(113,887) = 0.8701735312944266979 D2(113,887) = 0.03651778219932703149 C1(113,887) = 1.205973689698567810 C2(113,887) = 1.819840775204687917 C3(113,887) = 6.509917069162788086 C4(113,887) = 7096 Sum = 4596.458886870571206 Averaged sum = 0.4592325793656280553 logp*logq = 32.08877568467798894 -------------- ************************************* p = 113; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95886322236043.23560 -------------- Searches starting with [113,907]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(113,907) = 0.5848139718525763776 D2(113,907) = 0.06172906743167810499 C1(113,907) = 0.7892975342181665677 C2(113,907) = 2.004809326620511948 C3(113,907) = 3.407821784271110376 C4(113,907) = 7256 Sum = 4153.916487419574105 Averaged sum = 0.4150181324227769113 logp*logq = 32.19418446237011022 -------------- ************************************* p = 113; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97901900955914.72733 -------------- Searches starting with [113,911]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(113,911) = 0.6210765828279864681 D2(113,911) = 0.06622535252917880152 C1(113,911) = 0.8259317016416723360 C2(113,911) = 2.010113326861375703 C3(113,911) = 3.607373095830734967 C4(113,911) = 7288 Sum = 4280.196360305745818 Averaged sum = 0.4276347647423065059 logp*logq = 32.21498708259942791 -------------- ************************************* p = 113; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102033233871434.4464 -------------- Searches starting with [113,919]-exponents: u = 10, v = 2 n_start has 27 digits starting right neighbors generation We generated 21 left neighbors We generated 9989 right neighbors We generated 10009 non-negative rho_i D1(113,919) = 0.7396844854678184082 D2(113,919) = 0.07013575619266257098 C1(113,919) = 1.187780929176433777 C2(113,919) = 1.425678735430371631 C3(113,919) = 6.328521116310310113 C4(113,919) = 7352 Sum = 4438.282490133574165 Averaged sum = 0.4434291627668672360 logp*logq = 32.25631969841323594 -------------- ************************************* p = 113; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107389379268846.2032 -------------- Searches starting with [113,929]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(113,929) = 0.8356451893319791073 D2(113,929) = 0.06099348673676190537 C1(113,929) = 1.101080314401146692 C2(113,929) = 1.428085689861586608 C3(113,929) = 5.531108247777829149 C4(113,929) = 7432 Sum = 4260.953936152694481 Averaged sum = 0.4257122525879403018 logp*logq = 32.30748240362409688 -------------- ************************************* p = 113; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111831858494935.3511 -------------- Searches starting with [113,937]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(113,937) = 0.7463863803466700183 D2(113,937) = 0.03407504378090056923 C1(113,937) = 1.035710038194223644 C2(113,937) = 2.182864838573838118 C3(113,937) = 4.997030287478717466 C4(113,937) = 7496 Sum = 4434.405021599185271 Averaged sum = 0.4430417645718039036 logp*logq = 32.34801759576049372 -------------- ************************************* p = 113; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114106757281425.7040 -------------- Searches starting with [113,941]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(113,941) = 0.8502375979153055725 D2(113,941) = 0.01887716755206388849 C1(113,941) = 1.203595729053029685 C2(113,941) = 2.168658206573266387 C3(113,941) = 6.485914708984181134 C4(113,941) = 7528 Sum = 4335.250925359916947 Averaged sum = 0.4331352707922786439 logp*logq = 32.36815559349195263 -------------- ************************************* p = 113; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117587358647396.0679 -------------- Searches starting with [113,947]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(113,947) = 0.8508985946144766915 D2(113,947) = 0.09483506537467978846 C1(113,947) = 1.091164218764075060 C2(113,947) = 1.802556525429350391 C3(113,947) = 5.446563224547600608 C4(113,947) = 7576 Sum = 3986.353722971351825 Averaged sum = 0.3982769230663754445 logp*logq = 32.39820265112019607 -------------- ************************************* p = 113; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121151135592903.9403 -------------- Searches starting with [113,953]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(113,953) = 0.7317764280548592203 D2(113,953) = 0.1096669699492746640 C1(113,953) = 0.9958806105825001288 C2(113,953) = 1.960055133684241769 C3(113,953) = 4.697234091481582711 C4(113,953) = 7624 Sum = 4502.497701197106470 Averaged sum = 0.4498449097009797652 logp*logq = 32.42805993659250073 -------------- ************************************* p = 113; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129798223130386.9389 -------------- Searches starting with [113,967]-exponents: u = 13, v = 2 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(113,967) = 0.8795626866283513389 D2(113,967) = 0.09233024199435486271 C1(113,967) = 1.372398945594517854 C2(113,967) = 1.318102689125590710 C3(113,967) = 8.430424962820783770 C4(113,967) = 7736 Sum = 4077.415922252863566 Averaged sum = 0.4073749547659969593 logp*logq = 32.49700223081660245 -------------- ************************************* p = 113; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132356050482207.0331 -------------- Searches starting with [113,971]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(113,971) = 0.8654491458702759273 D2(113,971) = 0.08720587558583128509 C1(113,971) = 1.350326381739047725 C2(113,971) = 1.318990229310427272 C3(113,971) = 8.146270876543322949 C4(113,971) = 7768 Sum = 3965.794631633181785 Averaged sum = 0.3962228625869898876 logp*logq = 32.51651675932708365 -------------- ************************************* p = 113; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136267139622491.1635 -------------- Searches starting with [113,977]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(113,977) = 0.7777363036630021929 D2(113,977) = 0.09686618119964642586 C1(113,977) = 1.018846741498495552 C2(113,977) = 2.155607865723080505 C3(113,977) = 4.867832699861964876 C4(113,977) = 7816 Sum = 4420.316582667568091 Averaged sum = 0.4416341874980086013 logp*logq = 32.54563833695475508 -------------- ************************************* p = 113; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140268788834339.9244 -------------- Searches starting with [113,983]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(113,983) = 0.7758068496506678819 D2(113,983) = 0.06616460707133624299 C1(113,983) = 1.046356817302954897 C2(113,983) = 2.126275201423754346 C3(113,983) = 5.080360433061034771 C4(113,983) = 7864 Sum = 4628.031290130398796 Averaged sum = 0.4623869807303825353 logp*logq = 32.57458161809187395 -------------- ************************************* p = 113; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145747830265955.6718 -------------- Searches starting with [113,991]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(113,991) = 0.6526518201310675666 D2(113,991) = 0.02881031972006003040 C1(113,991) = 0.9068112646469390171 C2(113,991) = 2.090733115059202104 C3(113,991) = 4.090290300926319303 C4(113,991) = 7928 Sum = 4092.062881646495412 Averaged sum = 0.4088383336643516247 logp*logq = 32.61289905436536225 -------------- ************************************* p = 113; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149966744357620.8733 -------------- Searches starting with [113,997]-exponents: u = 16, v = 2 n_start has 39 digits starting right neighbors generation We generated 64 left neighbors We generated 9946 right neighbors We generated 10009 non-negative rho_i D1(113,997) = 0.6242668611652324399 D2(113,997) = 0.002963806467040754038 C1(113,997) = 0.9536790779539579124 C2(113,997) = 2.066236124778526283 C3(113,997) = 4.399184275290387593 C4(113,997) = 7976 Sum = 4145.033341666050309 Averaged sum = 0.4141306166116545418 logp*logq = 32.64143468116224894 -------------- ************************************* p = 127; q = 131; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18049212951.66055339 -------------- Searches starting with [127,131]-exponents: u = 1, v = 156 n_start has 333 digits starting right neighbors generation We generated 3515 left neighbors We generated 6495 right neighbors We generated 10009 non-negative rho_i D1(127,131) = 0.7565373880210072772 D2(127,131) = 0.001339475626630922543 C1(127,131) = 0.9926119843669696426 C2(127,131) = 1.074255004325727637 C3(127,131) = 4.788047881844540278 C4(127,131) = 1048 Sum = 5175.705370825437486 Averaged sum = 0.5171051424543348472 logp*logq = 23.61636791698850944 -------------- ************************************* p = 127; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22421991251.86499185 -------------- Searches starting with [127,137]-exponents: u = 1, v = 63 n_start has 137 digits starting right neighbors generation We generated 604 left neighbors We generated 9406 right neighbors We generated 10009 non-negative rho_i D1(127,137) = 0.8717680661227310133 D2(127,137) = 0.006349027884695824537 C1(127,137) = 1.201267379092345010 C2(127,137) = 1.256103550295748434 C3(127,137) = 6.654777257816337049 C4(127,137) = 1096 Sum = 5558.703151550520637 Averaged sum = 0.5553704817215027112 logp*logq = 23.83330806651918689 -------------- ************************************* p = 127; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24052743584.23307595 -------------- Searches starting with [127,139]-exponents: u = 1, v = 53 n_start has 116 digits starting right neighbors generation We generated 458 left neighbors We generated 9552 right neighbors We generated 10009 non-negative rho_i D1(127,139) = 0.6174201166455517364 D2(127,139) = 0.0007953595900049861997 C1(127,139) = 0.8605126485951332259 C2(127,139) = 1.293709824760185117 C3(127,139) = 3.887239132425057908 C4(127,139) = 1112 Sum = 4942.276022203337607 Averaged sum = 0.4937831973427253079 logp*logq = 23.90351490533823124 -------------- ************************************* p = 127; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33676027687.45327915 -------------- Searches starting with [127,149]-exponents: u = 1, v = 30 n_start has 68 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(127,149) = 0.8487424949209376318 D2(127,149) = 0.001110630854963206860 C1(127,149) = 1.143490806151403513 C2(127,149) = 1.456105968085005061 C3(127,149) = 6.074965389860960687 C4(127,149) = 1192 Sum = 4820.332073443235918 Averaged sum = 0.4815997675535254189 logp*logq = 24.24005207659316430 -------------- ************************************* p = 127; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35922949665.59227980 -------------- Searches starting with [127,151]-exponents: u = 1, v = 27 n_start has 61 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(127,151) = 1.218779234957326575 D2(127,151) = 0.001332178377894592516 C1(127,151) = 1.789850184687875120 C2(127,151) = 1.482611172327784630 C3(127,151) = 16.84390440656868321 C4(127,151) = 1208 Sum = 5918.011978144443417 Averaged sum = 0.5912690556643464299 logp*logq = 24.30464219464792455 -------------- ************************************* p = 127; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43385912831.60082548 -------------- Searches starting with [127,157]-exponents: u = 1, v = 22 n_start has 51 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(127,157) = 0.7127414327286741674 D2(127,157) = 0.04098584768561315676 C1(127,157) = 1.066589681938995295 C2(127,157) = 1.586725929991367573 C3(127,157) = 5.380833451522324070 C4(127,157) = 1256 Sum = 4591.345600029353684 Averaged sum = 0.4587217104635182020 logp*logq = 24.49340063622869383 -------------- ************************************* p = 127; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52029616651.93483914 -------------- Searches starting with [127,163]-exponents: u = 1, v = 19 n_start has 45 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(127,163) = 0.6952306324592151828 D2(127,163) = 0.04310390588040447836 C1(127,163) = 0.9324054306385890932 C2(127,163) = 1.651000264153284337 C3(127,163) = 4.354153098719079539 C4(127,163) = 1304 Sum = 4659.398057631039452 Averaged sum = 0.4655208370097951295 logp*logq = 24.67507894439397427 -------------- ************************************* p = 127; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58513277701.33683667 -------------- Searches starting with [127,167]-exponents: u = 1, v = 17 n_start has 40 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(127,167) = 0.6892940183533527119 D2(127,167) = 0.1200490368790854571 C1(127,167) = 0.9594752945665632007 C2(127,167) = 1.753842789982384514 C3(127,167) = 4.544148675273684205 C4(127,167) = 1336 Sum = 4280.500797592446133 Averaged sum = 0.4276651810962579811 logp*logq = 24.79251953468421884 -------------- ************************************* p = 127; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69424703186.71493668 -------------- Searches starting with [127,173]-exponents: u = 1, v = 15 n_start has 36 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(127,173) = 0.9779430678947098045 D2(127,173) = 0.09133255360588120312 C1(127,173) = 1.372364583883225030 C2(127,173) = 1.781739685424327948 C3(127,173) = 8.717117615430931693 C4(127,173) = 1384 Sum = 4609.831996909656449 Averaged sum = 0.4605686878718809520 logp*logq = 24.96350859482174398 -------------- ************************************* p = 127; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81892015575.50244075 -------------- Searches starting with [127,179]-exponents: u = 1, v = 14 n_start has 34 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(127,179) = 0.7500302378138020979 D2(127,179) = 0.1379056800377844455 C1(127,179) = 1.187104625557127149 C2(127,179) = 1.260190477851360361 C3(127,179) = 6.507720751524319218 C4(127,179) = 1432 Sum = 4649.823433742381807 Averaged sum = 0.4645642355622321717 logp*logq = 25.12866733313237859 -------------- ************************************* p = 127; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86420623989.31046435 -------------- Searches starting with [127,181]-exponents: u = 1, v = 13 n_start has 32 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(127,181) = 0.9581946013402122628 D2(127,181) = 0.05144629816407590399 C1(127,181) = 1.357707011279732097 C2(127,181) = 1.812262226923744739 C3(127,181) = 8.517835146668677445 C4(127,181) = 1448 Sum = 4382.925772858871759 Averaged sum = 0.4378984686640894954 logp*logq = 25.18249218785123669 -------------- ************************************* p = 127; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112137890335.7598273 -------------- Searches starting with [127,191]-exponents: u = 1, v = 11 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(127,191) = 0.7033468778560346442 D2(127,191) = 0.1376129988896789977 C1(127,191) = 1.135997232118351841 C2(127,191) = 1.321677883681027731 C3(127,191) = 6.003562751813868205 C4(127,191) = 1528 Sum = 4765.133269000103497 Averaged sum = 0.4760848505345292733 logp*logq = 25.44299511469308139 -------------- ************************************* p = 127; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117941650653.3935176 -------------- Searches starting with [127,193]-exponents: u = 1, v = 11 n_start has 28 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(127,193) = 0.7507002224996422354 D2(127,193) = 0.01745506988768308727 C1(127,193) = 1.015242735929619733 C2(127,193) = 1.870018884860599257 C3(127,193) = 4.962100419256847933 C4(127,193) = 1544 Sum = 4816.004359227686578 Averaged sum = 0.4811673852760202395 logp*logq = 25.49345585312537087 -------------- ************************************* p = 127; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130263776007.8722855 -------------- Searches starting with [127,197]-exponents: u = 1, v = 11 n_start has 28 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(127,197) = 1.031876916694520899 D2(127,197) = 0.07984245556132131638 C1(127,197) = 1.687130240165911604 C2(127,197) = 1.066681008639213581 C3(127,197) = 14.32375600185072355 C4(127,197) = 1576 Sum = 3908.786694394554662 Averaged sum = 0.3905271949639878770 logp*logq = 25.59282727788244213 -------------- ************************************* p = 127; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136796311167.2129624 -------------- Searches starting with [127,199]-exponents: u = 1, v = 10 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(127,199) = 0.6090694632484521406 D2(127,199) = 0.1229894975795189513 C1(127,199) = 0.8447453569177898850 C2(127,199) = 1.720763718101348110 C3(127,199) = 3.791728039603910709 C4(127,199) = 1592 Sum = 4533.576935562879105 Averaged sum = 0.4529500385216184538 logp*logq = 25.64175887661934297 -------------- ************************************* p = 127; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 181659893496.8900706 -------------- Searches starting with [127,211]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(127,211) = 0.6780663950747101389 D2(127,211) = 0.09158172044275848853 C1(127,211) = 1.029512814595620826 C2(127,211) = 1.737977772037775808 C3(127,211) = 5.075089496508164877 C4(127,211) = 1688 Sum = 4424.417804583133311 Averaged sum = 0.4420439409114929874 logp*logq = 25.92540205874314104 -------------- ************************************* p = 127; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 237480575467.3738805 -------------- Searches starting with [127,223]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(127,223) = 0.8016685754614135678 D2(127,223) = 0.06360027815566036924 C1(127,223) = 1.128407976462099747 C2(127,223) = 1.765117464232676685 C3(127,223) = 5.932103746261889757 C4(127,223) = 1784 Sum = 4576.563075552006133 Averaged sum = 0.4572447872466786025 logp*logq = 26.19335166957053244 -------------- ************************************* p = 127; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 258839190409.6011326 -------------- Searches starting with [127,227]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(127,227) = 0.8756223281268661941 D2(127,227) = 0.04948925169850180731 C1(127,227) = 1.290236779499616257 C2(127,227) = 1.603298718662451829 C3(127,227) = 7.657680053368156423 C4(127,227) = 1816 Sum = 4112.199882334995295 Averaged sum = 0.4108502230327700364 logp*logq = 26.27947281936671982 -------------- ************************************* p = 127; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 270075115017.9157432 -------------- Searches starting with [127,229]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(127,229) = 0.5945254099314764899 D2(127,229) = 0.04090889023978831014 C1(127,229) = 0.8068050678590188757 C2(127,229) = 1.442985399104470520 C3(127,229) = 3.571409922171644982 C4(127,229) = 1832 Sum = 4653.109482373650152 Averaged sum = 0.4648925449469127937 logp*logq = 26.32196596102335130 -------------- ************************************* p = 127; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 293707462835.9423298 -------------- Searches starting with [127,233]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(127,233) = 1.202472132562941439 D2(127,233) = 0.02608753809384096161 C1(127,233) = 2.065941363801960801 C2(127,233) = 0.9879032794266137277 C3(127,233) = 26.03911480336107100 C4(127,233) = 1864 Sum = 3894.761181847320879 Averaged sum = 0.3891259048703487740 logp*logq = 26.40585008455217600 -------------- ************************************* p = 127; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 332203648772.6781975 -------------- Searches starting with [127,239]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(127,239) = 0.9555106002684062387 D2(127,239) = 0.02942645091182252569 C1(127,239) = 1.418230157268126514 C2(127,239) = 1.798434547990112934 C3(127,239) = 9.371324049815965879 C4(127,239) = 1912 Sum = 4145.960199654329416 Averaged sum = 0.4142232190682714973 logp*logq = 26.52901401772777272 -------------- ************************************* p = 127; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 345888559260.8475036 -------------- Searches starting with [127,241]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(127,241) = 0.7676044886853884860 D2(127,241) = 0.02527844928285207727 C1(127,241) = 1.013766131204948439 C2(127,241) = 1.795948235344077042 C3(127,241) = 4.950553389230697623 C4(127,241) = 1928 Sum = 4612.008454806321581 Averaged sum = 0.4607861379564713339 logp*logq = 26.56938247706311184 -------------- ************************************* p = 127; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 421180691527.0859877 -------------- Searches starting with [127,251]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(127,251) = 0.9718212103883718531 D2(127,251) = 0.004020945737561925318 C1(127,251) = 1.329200076961375997 C2(127,251) = 1.283176009312805219 C3(127,251) = 8.143210908315799432 C4(127,251) = 2008 Sum = 4206.594434776930276 Averaged sum = 0.4202811904063273330 logp*logq = 26.76632777457685605 -------------- ************************************* p = 127; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 472244507243.8309048 -------------- Searches starting with [127,257]-exponents: u = 8, v = 48 n_start has 133 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(127,257) = 0.7281693259735133085 D2(127,257) = 0.02871727090225617618 C1(127,257) = 1.005469165952774499 C2(127,257) = 1.370706940620580775 C3(127,257) = 4.886169117408388993 C4(127,257) = 2056 Sum = 4825.426338308868671 Averaged sum = 0.4821087359685152034 logp*logq = 26.88076271222562128 -------------- ************************************* p = 127; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 528102698478.7539270 -------------- Searches starting with [127,263]-exponents: u = 8, v = 13 n_start has 49 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(127,263) = 0.7652364494934356534 D2(127,263) = 0.1070688904356518055 C1(127,263) = 1.150303127711376407 C2(127,263) = 1.765810473432213254 C3(127,263) = 6.140613360480705421 C4(127,263) = 2104 Sum = 4247.047537291127241 Averaged sum = 0.4243228631522756760 logp*logq = 26.99255660643369671 -------------- ************************************* p = 127; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 589080461088.2864962 -------------- Searches starting with [127,269]-exponents: u = 15, v = 6 n_start has 47 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(127,269) = 1.128390853344009579 D2(127,269) = 0.1493017734255856529 C1(127,269) = 1.532399322451595023 C2(127,269) = 1.831425498907061222 C3(127,269) = 11.22101271637855006 C4(127,269) = 2152 Sum = 5725.227461706234042 Averaged sum = 0.5720079390255004537 logp*logq = 27.10182861753015864 -------------- ************************************* p = 127; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 610602278558.8322853 -------------- Searches starting with [127,271]-exponents: u = 15, v = 6 n_start has 47 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(127,271) = 1.190454855276144416 D2(127,271) = 0.1170636754835217852 C1(127,271) = 1.556177026166969518 C2(127,271) = 1.800668406658737827 C3(127,271) = 11.64997609610516713 C4(127,271) = 2168 Sum = 4376.659566253908035 Averaged sum = 0.4372724114550812304 logp*logq = 27.13771164891207706 -------------- ************************************* p = 127; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 678936185815.4755563 -------------- Searches starting with [127,277]-exponents: u = 29, v = 6 n_start has 76 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(127,277) = 0.6039352380221663749 D2(127,277) = 0.03587820199253435707 C1(127,277) = 0.7976112563275876358 C2(127,277) = 1.723860099321258563 C3(127,277) = 3.519977674545075799 C4(127,277) = 2216 Sum = 4543.464264080709836 Averaged sum = 0.4539378823139883940 logp*logq = 27.24379297748975561 -------------- ************************************* p = 127; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 727765616582.1139696 -------------- Searches starting with [127,281]-exponents: u = 71, v = 6 n_start has 165 digits starting right neighbors generation We generated 2496 left neighbors We generated 7514 right neighbors We generated 10009 non-negative rho_i D1(127,281) = 1.036124782138191954 D2(127,281) = 0.02428125571030074779 C1(127,281) = 1.419633849955301272 C2(127,281) = 1.610048358536720428 C3(127,281) = 9.392101884950006009 C4(127,281) = 2248 Sum = 4345.858578067398181 Averaged sum = 0.4341950822327303608 logp*logq = 27.31324487806003170 -------------- ************************************* p = 127; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 753203257688.6941061 -------------- Searches starting with [127,283]-exponents: u = 148, v = 6 n_start has 327 digits --- performed 5000 steps in the continued fraction search [127,283]-exponents: u = 56, v = 45 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,283) = 0.6548137284180437921 D2(127,283) = 0.0006956605005576154932 C1(127,283) = 0.9547682734844341244 C2(127,283) = 1.515664927572953047 C3(127,283) = 4.510525920466362339 C4(127,283) = 2264 Sum = 5055.137369243726776 Averaged sum = 0.5055642933537080484 logp*logq = 27.34760095885108822 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,283) = 0.6548137284180437921 D2(127,283) = 0.0006956605005576154932 C1(127,283) = 0.9547682734844341244 C2(127,283) = 1.515664927572953047 C3(127,283) = 4.510525920466362339 C4(127,283) = 2264 Sum = 5055.137369243726776 Averaged sum = 0.5055642933537080484 logp*logq = 27.34760095885108822 -------------- ************************************* p = 127; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 891185825876.9196414 -------------- Searches starting with [127,293]-exponents: u = 7, v = 23 n_start has 72 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(127,293) = 0.7398865973029190705 D2(127,293) = 0.01164565460198330206 C1(127,293) = 1.070929852345419164 C2(127,293) = 1.552808671102545564 C3(127,293) = 5.417806942854761796 C4(127,293) = 2344 Sum = 4130.862589355578945 Averaged sum = 0.4127148156015165297 logp*logq = 27.51581880145628219 -------------- ************************************* p = 127; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1117284054540.763439 -------------- Searches starting with [127,307]-exponents: u = 13, v = 5 n_start has 40 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(127,307) = 0.9312392352693471437 D2(127,307) = 0.08592416979883638516 C1(127,307) = 1.504073206282893946 C2(127,307) = 1.169960998310227633 C3(127,307) = 10.73056050041730835 C4(127,307) = 2456 Sum = 4251.159947214992580 Averaged sum = 0.4247337343605747407 logp*logq = 27.74192190497637051 -------------- ************************************* p = 127; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1189591044763.974552 -------------- Searches starting with [127,311]-exponents: u = 13, v = 5 n_start has 40 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(127,311) = 0.8121250682664431654 D2(127,311) = 0.08179722870217587249 C1(127,311) = 1.071049378536749640 C2(127,311) = 1.860694087057735118 C3(127,311) = 5.418828761569310108 C4(127,311) = 2488 Sum = 4424.302513278927580 Averaged sum = 0.4420324221479595944 logp*logq = 27.80463070412519705 -------------- ************************************* p = 127; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1227110447393.309560 -------------- Searches starting with [127,313]-exponents: u = 13, v = 5 n_start has 40 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(127,313) = 1.076704763018243720 D2(127,313) = 0.06106550051259394880 C1(127,313) = 1.406729969883571091 C2(127,313) = 1.841292668430602562 C3(127,313) = 9.202817013601040767 C4(127,313) = 2504 Sum = 4189.623178481392596 Averaged sum = 0.4185855908164044956 logp*logq = 27.83568329178176621 -------------- ************************************* p = 127; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1304965350748.049533 -------------- Searches starting with [127,317]-exponents: u = 19, v = 5 n_start has 53 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(127,317) = 0.5765422319834512446 D2(127,317) = 0.02288696912100876751 C1(127,317) = 0.7712137262808823772 C2(127,317) = 1.805748998021567655 C3(127,317) = 3.376383501726810186 C4(127,317) = 2536 Sum = 4565.536719560057464 Averaged sum = 0.4561431431271912743 logp*logq = 27.89719760519979700 -------------- ************************************* p = 127; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1608859901084.205257 -------------- Searches starting with [127,331]-exponents: u = 103, v = 5 n_start has 230 digits starting right neighbors generation We generated 4519 left neighbors We generated 5491 right neighbors We generated 10009 non-negative rho_i D1(127,331) = 0.5955922302380823592 D2(127,331) = 0.002989008034337942014 C1(127,331) = 0.7959018564365926025 C2(127,331) = 1.493946428363159857 C3(127,331) = 3.510496888437380859 C4(127,331) = 2648 Sum = 4789.047147711036220 Averaged sum = 0.4784740880918209831 logp*logq = 28.10654690810566934 -------------- ************************************* p = 127; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1755141459551.268151 -------------- Searches starting with [127,337]-exponents: u = 6, v = 134 n_start has 352 digits --- performed 5000 steps in the continued fraction search [127,337]-exponents: u = 40, v = 70 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,337) = 0.5798488615610480680 D2(127,337) = 0.02507985707303668595 C1(127,337) = 0.7998294664365426556 C2(127,337) = 1.385378870335946700 C3(127,337) = 3.532318638596246535 C4(127,337) = 2696 Sum = 5062.057884546676991 Averaged sum = 0.5062564140960773068 logp*logq = 28.19357057333098734 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,337) = 0.5798488615610480680 D2(127,337) = 0.02507985707303668595 C1(127,337) = 0.7998294664365426556 C2(127,337) = 1.385378870335946700 C3(127,337) = 3.532318638596246535 C4(127,337) = 2696 Sum = 5062.057884546676991 Averaged sum = 0.5062564140960773068 logp*logq = 28.19357057333098734 -------------- ************************************* p = 127; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2022233204628.980660 -------------- Searches starting with [127,347]-exponents: u = 6, v = 24 n_start has 74 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(127,347) = 0.7459250544678922072 D2(127,347) = 0.02273700152266451343 C1(127,347) = 1.028913962047382413 C2(127,347) = 1.743468456926122884 C3(127,347) = 5.070296526133787412 C4(127,347) = 2776 Sum = 4580.996138057875521 Averaged sum = 0.4576876948803951964 logp*logq = 28.33522356352081636 -------------- ************************************* p = 127; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2079323665231.877785 -------------- Searches starting with [127,349]-exponents: u = 6, v = 19 n_start has 61 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(127,349) = 0.7272713281799873707 D2(127,349) = 0.04714064632346057146 C1(127,349) = 0.9598142063221066469 C2(127,349) = 1.768841037731260049 C3(127,349) = 4.546579208596298090 C4(127,349) = 2792 Sum = 4427.223121654220307 Averaged sum = 0.4423242203670916482 logp*logq = 28.36306379581927923 -------------- ************************************* p = 127; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2197340331083.154755 -------------- Searches starting with [127,353]-exponents: u = 6, v = 14 n_start has 49 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(127,353) = 0.6795266015759923443 D2(127,353) = 0.1006369342736907645 C1(127,353) = 0.8991019853057096871 C2(127,353) = 1.824258336926136694 C3(127,353) = 4.131269040072972000 C4(127,353) = 2824 Sum = 4526.330370914335354 Averaged sum = 0.4522260336611385108 logp*logq = 28.41826880451810002 -------------- ************************************* p = 127; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2384270538929.232353 -------------- Searches starting with [127,359]-exponents: u = 6, v = 9 n_start has 36 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(127,359) = 0.9453821048174624291 D2(127,359) = 0.002585834822525657356 C1(127,359) = 1.471853031516561825 C2(127,359) = 1.868834777765306954 C3(127,359) = 10.19869185446686180 C4(127,359) = 2872 Sum = 3685.788217735672469 Averaged sum = 0.3682473991143643190 logp*logq = 28.49991433978763588 -------------- ************************************* p = 127; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2652908245265.755413 -------------- Searches starting with [127,367]-exponents: u = 6, v = 9 n_start has 36 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(127,367) = 0.7701053256781588658 D2(127,367) = 0.04614583729851991092 C1(127,367) = 1.020527579659179915 C2(127,367) = 1.916477370121855013 C3(127,367) = 5.003648971385457603 C4(127,367) = 2936 Sum = 4521.597662971873751 Averaged sum = 0.4517531884276025328 logp*logq = 28.60667760521119094 -------------- ************************************* p = 127; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2869714639153.844147 -------------- Searches starting with [127,373]-exponents: u = 11, v = 4 n_start has 34 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(127,373) = 1.208833173207801837 D2(127,373) = 0.04251241533230580142 C1(127,373) = 2.004227433115898989 C2(127,373) = 1.022739506843499349 C3(127,373) = 23.62318987957317513 C4(127,373) = 2984 Sum = 2678.054651232556379 Averaged sum = 0.2675646569320168228 logp*logq = 28.68523371189044415 -------------- ************************************* p = 127; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3100350265911.679251 -------------- Searches starting with [127,379]-exponents: u = 11, v = 4 n_start has 34 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(127,379) = 0.7976569508838824143 D2(127,379) = 0.03494480003939638990 C1(127,379) = 1.143643491830077024 C2(127,379) = 1.946706303214269191 C3(127,379) = 6.076429051596004506 C4(127,379) = 3032 Sum = 3517.505743163506343 Averaged sum = 0.3514342834612355223 logp*logq = 28.76253621004063957 -------------- ************************************* p = 127; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3262106552573.896176 -------------- Searches starting with [127,383]-exponents: u = 11, v = 4 n_start has 34 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(127,383) = 0.7720019819554301063 D2(127,383) = 0.008708430774151816134 C1(127,383) = 1.038258990560189053 C2(127,383) = 1.922756588164749545 C3(127,383) = 5.145608828152900378 C4(127,383) = 3064 Sum = 4692.715502794899525 Averaged sum = 0.4688495856524027899 logp*logq = 28.81339428439275197 -------------- ************************************* p = 127; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3517227121150.834046 -------------- Searches starting with [127,389]-exponents: u = 16, v = 4 n_start has 45 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(127,389) = 0.9023615030362280031 D2(127,389) = 0.1115206325267477817 C1(127,389) = 1.415862630001977114 C2(127,389) = 1.212721409000706794 C3(127,389) = 9.336383369855175486 C4(127,389) = 3112 Sum = 3969.939782709741530 Averaged sum = 0.3966370049665042991 logp*logq = 28.88869404542767949 -------------- ************************************* p = 127; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3881748673560.639755 -------------- Searches starting with [127,397]-exponents: u = 16, v = 4 n_start has 45 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(127,397) = 1.491744206606355159 D2(127,397) = 0.05881837194804623513 C1(127,397) = 2.264821458921451826 C2(127,397) = 1.848049735364745527 C3(127,397) = 35.63715415201594977 C4(127,397) = 3176 Sum = 5418.517420463013001 Averaged sum = 0.5413645139837159557 logp*logq = 28.98730685709593996 -------------- ************************************* p = 127; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4074913123018.258861 -------------- Searches starting with [127,401]-exponents: u = 21, v = 4 n_start has 55 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(127,401) = 0.6824239421018407378 D2(127,401) = 0.01514762034198796268 C1(127,401) = 0.9333794597872112665 C2(127,401) = 1.806471617559016553 C3(127,401) = 4.360849719387305465 C4(127,401) = 3208 Sum = 4311.543086264746516 Averaged sum = 0.4307666186696719469 logp*logq = 29.03587054288938862 -------------- ************************************* p = 127; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4484110663814.840730 -------------- Searches starting with [127,409]-exponents: u = 36, v = 4 n_start has 87 digits starting right neighbors generation We generated 553 left neighbors We generated 9457 right neighbors We generated 10009 non-negative rho_i D1(127,409) = 0.9605549451237581875 D2(127,409) = 0.009311191098812166011 C1(127,409) = 1.383475509072610848 C2(127,409) = 1.715188334256399395 C3(127,409) = 8.871281165955700894 C4(127,409) = 3272 Sum = 3195.221502357724421 Averaged sum = 0.3192348388807797403 logp*logq = 29.13156130054285237 -------------- ************************************* p = 127; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5040751731629.377826 -------------- Searches starting with [127,419]-exponents: u = 86, v = 4 n_start has 192 digits starting right neighbors generation We generated 2593 left neighbors We generated 7417 right neighbors We generated 10009 non-negative rho_i D1(127,419) = 0.7188154993594439190 D2(127,419) = 0.02074679719772721058 C1(127,419) = 0.9734279590142964545 C2(127,419) = 1.506273921924489531 C3(127,419) = 4.645293828062538829 C4(127,419) = 3352 Sum = 4240.003690335608218 Averaged sum = 0.4236191118329112017 logp*logq = 29.24857633999067463 -------------- ************************************* p = 127; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5158381281831.503760 -------------- Searches starting with [127,421]-exponents: u = 116, v = 4 n_start has 255 digits starting right neighbors generation We generated 4537 left neighbors We generated 5473 right neighbors We generated 10009 non-negative rho_i D1(127,421) = 0.7031441567925554038 D2(127,421) = 0.01758946023728852892 C1(127,421) = 0.9344742846443592527 C2(127,421) = 1.434405082970827859 C3(127,421) = 4.368389126876531522 C4(127,421) = 3368 Sum = 4859.308452581008333 Averaged sum = 0.4854939007474281479 logp*logq = 29.27164394113487657 -------------- ************************************* p = 127; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5779639781566.983670 -------------- Searches starting with [127,431]-exponents: u = 5, v = 111 n_start has 303 digits --- performed 5000 steps in the continued fraction search [127,431]-exponents: u = 10, v = 62 --- starting right neighbors generation We generated 6573 left neighbors We generated 3437 right neighbors We generated 10009 non-negative rho_i D1(127,431) = 0.8472811084116274088 D2(127,431) = 0.01278297250037578891 C1(127,431) = 1.118196377033561569 C2(127,431) = 1.405382002615375024 C3(127,431) = 5.837293581950063402 C4(127,431) = 3448 Sum = 4835.404595948766677 Averaged sum = 0.4831056644968295211 logp*logq = 29.38536247514256367 -------------- ************************************* p = 127; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5910723191371.555412 -------------- Searches starting with [127,433]-exponents: u = 5, v = 75 n_start has 209 digits starting right neighbors generation We generated 3087 left neighbors We generated 6923 right neighbors We generated 10009 non-negative rho_i D1(127,433) = 0.6932201521354418389 D2(127,433) = 0.009073101836274542662 C1(127,433) = 0.9312440871213125691 C2(127,433) = 1.485094930447094853 C3(127,433) = 4.346182097744183624 C4(127,433) = 3464 Sum = 4818.214516378343640 Averaged sum = 0.4813882022558041402 logp*logq = 29.40778930726662923 -------------- ************************************* p = 127; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6318187433043.182915 -------------- Searches starting with [127,439]-exponents: u = 5, v = 39 n_start has 114 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(127,439) = 0.6102539474350457068 D2(127,439) = 0.01546209780331305361 C1(127,439) = 0.8180018936607642230 C2(127,439) = 1.637874155645788292 C3(127,439) = 3.635063484543647426 C4(127,439) = 3512 Sum = 4583.855370576604570 Averaged sum = 0.4579733610327309991 logp*logq = 29.47445348438362293 -------------- ************************************* p = 127; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6601988387934.258446 -------------- Searches starting with [127,443]-exponents: u = 5, v = 31 n_start has 93 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(127,443) = 0.7206309080531803229 D2(127,443) = 0.02422532117366169851 C1(127,443) = 1.030993863593017978 C2(127,443) = 1.705816212756180804 C3(127,443) = 5.086962673664683184 C4(127,443) = 3544 Sum = 3599.979723092750657 Averaged sum = 0.3596742654703517491 logp*logq = 29.51839199048709361 -------------- ************************************* p = 127; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7046565208120.210288 -------------- Searches starting with [127,449]-exponents: u = 5, v = 23 n_start has 72 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(127,449) = 0.7901249185878272035 D2(127,449) = 0.02286546041462283207 C1(127,449) = 1.160361264805231689 C2(127,449) = 1.782347391638970639 C3(127,449) = 6.238839297091917073 C4(127,449) = 3592 Sum = 3412.263433655233238 Averaged sum = 0.3409195158013021519 logp*logq = 29.58356140950808335 -------------- ************************************* p = 127; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7675942405216.271791 -------------- Searches starting with [127,457]-exponents: u = 5, v = 15 n_start has 51 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(127,457) = 0.6891594230481856018 D2(127,457) = 0.1231121565714337996 C1(127,457) = 0.9204862634266704324 C2(127,457) = 1.885497842120480345 C3(127,457) = 4.273034830438276677 C4(127,457) = 3656 Sum = 4560.640911158422749 Averaged sum = 0.4556540025135800529 logp*logq = 29.66911219081712275 -------------- ************************************* p = 127; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8006922500427.613351 -------------- Searches starting with [127,461]-exponents: u = 5, v = 15 n_start has 51 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(127,461) = 0.8325692998769991376 D2(127,461) = 0.01352369271753361450 C1(127,461) = 1.092368918077927257 C2(127,461) = 1.883958653210176861 C3(127,461) = 5.604205106153817482 C4(127,461) = 3688 Sum = 4350.194481109318253 Averaged sum = 0.4346282826565409384 logp*logq = 29.71132759599476031 -------------- ************************************* p = 127; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8176604933730.565580 -------------- Searches starting with [127,463]-exponents: u = 5, v = 11 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(127,463) = 0.8011638974847993860 D2(127,463) = 0.02798144559531916971 C1(127,463) = 1.230468067235422117 C2(127,463) = 1.899173805839743263 C3(127,463) = 6.968550406181964762 C4(127,463) = 3704 Sum = 4204.175478411598435 Averaged sum = 0.4200395122801077466 logp*logq = 29.73229813561206670 -------------- ************************************* p = 127; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8524528410250.277342 -------------- Searches starting with [127,467]-exponents: u = 5, v = 11 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(127,467) = 0.8204280242253883699 D2(127,467) = 0.05824914580310962247 C1(127,467) = 1.091763726748709998 C2(127,467) = 1.930946354256070577 C3(127,467) = 5.598856437620739734 C4(127,467) = 3736 Sum = 4587.486828898972893 Averaged sum = 0.4583361803276024471 logp*logq = 29.77396881912229178 -------------- ************************************* p = 127; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9639326292770.265447 -------------- Searches starting with [127,479]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(127,479) = 0.6219743825443153572 D2(127,479) = 0.1133269195000243701 C1(127,479) = 0.9938262504380691765 C2(127,479) = 1.905021634361600075 C3(127,479) = 4.797229827672019007 C4(127,479) = 3832 Sum = 4528.037644655863831 Averaged sum = 0.4523966075188194455 logp*logq = 29.89687233546672865 -------------- ************************************* p = 127; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10444630689029.26749 -------------- Searches starting with [127,487]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(127,487) = 0.7792570605363532524 D2(127,487) = 0.07664727037909963572 C1(127,487) = 1.007018956985891222 C2(127,487) = 1.871551540612731544 C3(127,487) = 4.898131536558252704 C4(127,487) = 3896 Sum = 4115.446805482455735 Averaged sum = 0.4111746233871970961 logp*logq = 29.97710915263167990 -------------- ************************************* p = 127; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10866813478403.68847 -------------- Searches starting with [127,491]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(127,491) = 0.7300658760835546625 D2(127,491) = 0.05546043306986218676 C1(127,491) = 1.017509640098494680 C2(127,491) = 1.721271736380836233 C3(127,491) = 4.979880015777471757 C4(127,491) = 3928 Sum = 4354.069859605563918 Averaged sum = 0.4350154720357242400 logp*logq = 30.01673462582438545 -------------- ************************************* p = 127; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11751784558356.16295 -------------- Searches starting with [127,499]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(127,499) = 0.6352509767237537435 D2(127,499) = 0.02344347685663821185 C1(127,499) = 0.8810633836442152133 C2(127,499) = 1.500088599203820370 C3(127,499) = 4.015346714403295286 C4(127,499) = 3992 Sum = 4401.531339677212237 Averaged sum = 0.4397573523506056785 logp*logq = 30.09502622229343312 -------------- ************************************* p = 127; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12215204621410.41401 -------------- Searches starting with [127,503]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(127,503) = 0.7140235323871792487 D2(127,503) = 0.01013439402164059305 C1(127,503) = 1.167557537740761457 C2(127,503) = 1.314594845326322825 C3(127,503) = 6.310079569470878572 C4(127,503) = 4024 Sum = 4194.241411967078447 Averaged sum = 0.4190469988976999148 logp*logq = 30.13370257214840836 -------------- ************************************* p = 127; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12937409591052.39128 -------------- Searches starting with [127,509]-exponents: u = 9, v = 3 n_start has 28 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(127,509) = 0.8966335030299848829 D2(127,509) = 0.003976072525420532348 C1(127,509) = 1.160969812940159776 C2(127,509) = 1.198048867600331426 C3(127,509) = 6.244832424919452968 C4(127,509) = 4072 Sum = 4462.278875724624496 Averaged sum = 0.4458266435932285439 logp*logq = 30.19114419879850281 -------------- ************************************* p = 127; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14483389664957.40226 -------------- Searches starting with [127,521]-exponents: u = 9, v = 24 n_start has 85 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(127,521) = 0.9244758930396766108 D2(127,521) = 0.03360734745108511720 C1(127,521) = 1.201096258226265704 C2(127,521) = 1.634871268755497093 C3(127,521) = 6.652980770474849548 C4(127,521) = 4168 Sum = 4133.956100994685686 Averaged sum = 0.4130238885997288127 logp*logq = 30.30402356837445320 -------------- ************************************* p = 127; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14754713321035.00881 -------------- Searches starting with [127,523]-exponents: u = 9, v = 17 n_start has 66 digits **************************************************** Computing .... elapsed time = 17 minutes **************************************************** starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(127,523) = 0.6075638739551447307 D2(127,523) = 0.04061043955929695296 C1(127,523) = 0.8095903239204786122 C2(127,523) = 1.731333612286082667 C3(127,523) = 3.587139089433247450 C4(127,523) = 4184 Sum = 4446.909963154193637 Averaged sum = 0.4442911342945542648 logp*logq = 30.32258369485886202 -------------- ************************************* p = 127; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17382766499027.09632 -------------- Searches starting with [127,541]-exponents: u = 9, v = 10 n_start has 47 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(127,541) = 0.7708001093312352829 D2(127,541) = 0.08215249094705151346 C1(127,541) = 1.245061211843132749 C2(127,541) = 1.337521435043120712 C3(127,541) = 7.130861043632405982 C4(127,541) = 4328 Sum = 4320.840460414247334 Averaged sum = 0.4316955200733587105 logp*logq = 30.48650040025766592 -------------- ************************************* p = 127; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18336770485208.10473 -------------- Searches starting with [127,547]-exponents: u = 13, v = 3 n_start has 36 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(127,547) = 0.6332129061586305512 D2(127,547) = 0.08213594821449420601 C1(127,547) = 1.022721691650216530 C2(127,547) = 2.050647849341909413 C3(127,547) = 5.021000744577703105 C4(127,547) = 4376 Sum = 4491.164553332264265 Averaged sum = 0.4487126139806438470 logp*logq = 30.53992947593189208 -------------- ************************************* p = 127; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20018718735618.17859 -------------- Searches starting with [127,557]-exponents: u = 13, v = 3 n_start has 36 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(127,557) = 0.5957700690490824019 D2(127,557) = 0.01569807369062701724 C1(127,557) = 0.8121687515280169422 C2(127,557) = 1.988226495806399633 C3(127,557) = 3.601761977287934880 C4(127,557) = 4456 Sum = 4379.301678784845601 Averaged sum = 0.4375363851318658807 logp*logq = 30.62768888854771408 -------------- ************************************* p = 127; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21085176828796.95249 -------------- Searches starting with [127,563]-exponents: u = 13, v = 3 n_start has 36 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(127,563) = 0.9019409055051492830 D2(127,563) = 0.1131641008191465128 C1(127,563) = 1.404259927897865823 C2(127,563) = 1.244259114472640789 C3(127,563) = 9.167021761184247402 C4(127,563) = 4504 Sum = 3883.214020352279070 Averaged sum = 0.3879722270309000969 logp*logq = 30.67959138956555712 -------------- ************************************* p = 127; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22196232363147.28441 -------------- Searches starting with [127,569]-exponents: u = 17, v = 3 n_start has 45 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(127,569) = 0.7807738669783330210 D2(127,569) = 0.1168185539739794801 C1(127,569) = 1.088182535868189062 C2(127,569) = 1.987848259272973836 C3(127,569) = 5.567310261735342101 C4(127,569) = 4552 Sum = 4554.124574271492135 Averaged sum = 0.4550029547678581411 logp*logq = 30.73094367703209415 -------------- ************************************* p = 127; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22576729918786.26977 -------------- Searches starting with [127,571]-exponents: u = 17, v = 3 n_start has 45 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(127,571) = 1.022390186370747686 D2(127,571) = 0.09642835316740292203 C1(127,571) = 1.465848504455679874 C2(127,571) = 1.968205097592038466 C3(127,571) = 10.10252753082346816 C4(127,571) = 4568 Sum = 4258.817537448770670 Averaged sum = 0.4254988048205385823 logp*logq = 30.74794084214224849 -------------- ************************************* p = 127; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23749376778488.61221 -------------- Searches starting with [127,577]-exponents: u = 17, v = 3 n_start has 45 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(127,577) = 1.300094916963422853 D2(127,577) = 0.04154499276658565587 C1(127,577) = 1.973855523188262708 C2(127,577) = 1.915547116908482543 C3(127,577) = 22.51785784322961931 C4(127,577) = 4616 Sum = 4883.386088244780692 Averaged sum = 0.4878994992751304517 logp*logq = 30.79857740515915719 -------------- ************************************* p = 127; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25810768592081.91968 -------------- Searches starting with [127,587]-exponents: u = 25, v = 3 n_start has 61 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(127,587) = 0.8424428468853678860 D2(127,587) = 0.07930356665040662013 C1(127,587) = 1.074939419706937126 C2(127,587) = 1.879219303813249332 C3(127,587) = 5.452189785357446190 C4(127,587) = 4696 Sum = 3540.766183122366030 Averaged sum = 0.3537582358999266690 logp*logq = 30.88181290806427230 -------------- ************************************* p = 127; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27114133850401.55364 -------------- Searches starting with [127,593]-exponents: u = 25, v = 3 n_start has 61 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(127,593) = 0.9984266546490104958 D2(127,593) = 0.01596802772950406781 C1(127,593) = 1.466256314428115383 C2(127,593) = 1.817977654199984596 C3(127,593) = 10.10902993418143869 C4(127,593) = 4744 Sum = 4636.146033564639521 Averaged sum = 0.4631977254036007114 logp*logq = 30.93107625215250741 -------------- ************************************* p = 127; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28469192343091.00368 -------------- Searches starting with [127,599]-exponents: u = 33, v = 3 n_start has 78 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(127,599) = 0.7687228294480483104 D2(127,599) = 0.04201173307067418275 C1(127,599) = 0.9856569341717071276 C2(127,599) = 1.785703263774349260 C3(127,599) = 4.735793302721593781 C4(127,599) = 4792 Sum = 3526.277153569050545 Averaged sum = 0.3523106357846988256 logp*logq = 30.97984364811539283 -------------- ************************************* p = 127; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28932624603465.74767 -------------- Searches starting with [127,601]-exponents: u = 33, v = 3 n_start has 78 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(127,601) = 0.6904262305214868331 D2(127,601) = 0.01833195281181043087 C1(127,601) = 0.9008804635300685281 C2(127,601) = 1.762690785553525886 C3(127,601) = 4.142877852463913532 C4(127,601) = 4808 Sum = 4274.542054742912746 Averaged sum = 0.4270698426159369313 logp*logq = 30.99599095335480777 -------------- ************************************* p = 127; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30358947873988.40172 -------------- Searches starting with [127,607]-exponents: u = 41, v = 3 n_start has 95 digits starting right neighbors generation We generated 510 left neighbors We generated 9500 right neighbors We generated 10009 non-negative rho_i D1(127,607) = 0.7720026747059568710 D2(127,607) = 0.01457564948485179398 C1(127,607) = 1.023448362421060290 C2(127,607) = 1.712075627055670591 C3(127,607) = 5.026760754887929443 C4(127,607) = 4856 Sum = 4510.730358489123199 Averaged sum = 0.4506674351572707762 logp*logq = 31.04411241284850912 -------------- ************************************* p = 127; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31840511416152.20587 -------------- Searches starting with [127,613]-exponents: u = 49, v = 3 n_start has 112 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(127,613) = 0.8856703600128233315 D2(127,613) = 0.03703268940666445799 C1(127,613) = 1.237635040193371209 C2(127,613) = 1.661130517150484045 C3(127,613) = 7.047797309363106457 C4(127,613) = 4904 Sum = 5124.237766239335764 Averaged sum = 0.5119630099150100673 logp*logq = 31.09176053884081873 -------------- ************************************* p = 127; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32859682220777.79425 -------------- Searches starting with [127,617]-exponents: u = 61, v = 3 n_start has 137 digits starting right neighbors generation We generated 1049 left neighbors We generated 8961 right neighbors We generated 10009 non-negative rho_i D1(127,617) = 0.8251707167441580452 D2(127,617) = 0.01210192165724455608 C1(127,617) = 1.094373305541073143 C2(127,617) = 1.607397605063919576 C3(127,617) = 5.621956354449370707 C4(127,617) = 4936 Sum = 4559.894885735527353 Averaged sum = 0.4555794670532048509 logp*logq = 31.12326755779029380 -------------- ************************************* p = 127; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33378882395320.05295 -------------- Searches starting with [127,619]-exponents: u = 69, v = 3 n_start has 154 digits starting right neighbors generation We generated 1345 left neighbors We generated 8665 right neighbors We generated 10009 non-negative rho_i D1(127,619) = 0.7519992530643555907 D2(127,619) = 0.01259536482542496522 C1(127,619) = 1.032221057722812360 C2(127,619) = 1.582097958854227638 C3(127,619) = 5.096821804546431182 C4(127,619) = 4952 Sum = 3782.793946487621028 Averaged sum = 0.3779392493243701696 logp*logq = 31.13894455233510197 -------------- ************************************* p = 127; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36632458287047.41349 -------------- Searches starting with [127,631]-exponents: u = 185, v = 3 n_start has 398 digits --- performed 5000 steps in the continued fraction search [127,631]-exponents: u = 118, v = 23 --- starting right neighbors generation We generated 8880 left neighbors We generated 1130 right neighbors We generated 10009 non-negative rho_i D1(127,631) = 1.030921177820027064 D2(127,631) = 0.009790664722629086568 C1(127,631) = 1.342502667780555625 C2(127,631) = 1.359009297104499171 C3(127,631) = 8.315931369253047818 C4(127,631) = 5048 Sum = 4988.778427583103636 Averaged sum = 0.4984292564275255906 logp*logq = 31.23195580177091412 -------------- ************************************* p = 127; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39531693556006.52497 -------------- Searches starting with [127,641]-exponents: u = 4, v = 392 n_start has 1109 digits --- performed 5000 steps in the continued fraction search [127,641]-exponents: u = 346, v = 126 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,641) = 0.7750167929464343390 D2(127,641) = 0.3248230373106169034 C1(127,641) = 0.9703662346753989522 C2(127,641) = 1.419780039135376832 C3(127,641) = 4.622907801530787278 C4(127,641) = 5128 Sum = 5603.456933312884966 Averaged sum = 0.5604017335046389604 logp*logq = 31.30812383461659204 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,641) = 0.7750167929464343390 D2(127,641) = 0.3248230373106169034 C1(127,641) = 0.9703662346753989522 C2(127,641) = 1.419780039135376832 C3(127,641) = 4.622907801530787278 C4(127,641) = 5128 Sum = 5603.456933312884966 Averaged sum = 0.5604017335046389604 logp*logq = 31.30812383461659204 -------------- ************************************* p = 127; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40132788012892.68829 -------------- Searches starting with [127,643]-exponents: u = 4, v = 221 n_start has 630 digits --- performed 5000 steps in the continued fraction search [127,643]-exponents: u = 146, v = 97 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,643) = 0.5580177590511273085 D2(127,643) = 0.1603795841601602273 C1(127,643) = 0.7128330625028286082 C2(127,643) = 1.362352043983463943 C3(127,643) = 3.079272461670235836 C4(127,643) = 5144 Sum = 5274.116406315760399 Averaged sum = 0.5274643870702830681 logp*logq = 31.32321477232422457 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,643) = 0.5580177590511273085 D2(127,643) = 0.1603795841601602273 C1(127,643) = 0.7128330625028286082 C2(127,643) = 1.362352043983463943 C3(127,643) = 3.079272461670235836 C4(127,643) = 5144 Sum = 5274.116406315760399 Averaged sum = 0.5274643870702830681 logp*logq = 31.32321477232422457 -------------- ************************************* p = 127; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41356732390491.95948 -------------- Searches starting with [127,647]-exponents: u = 4, v = 119 n_start has 343 digits --- performed 5000 steps in the continued fraction search [127,647]-exponents: u = 100, v = 10 --- starting right neighbors generation We generated 6508 left neighbors We generated 3502 right neighbors We generated 10009 non-negative rho_i D1(127,647) = 0.6159230333709546246 D2(127,647) = 0.01050000012440153165 C1(127,647) = 0.8076399766821259516 C2(127,647) = 1.392430116805742280 C3(127,647) = 3.576117647605865480 C4(127,647) = 5176 Sum = 4822.857944144547744 Averaged sum = 0.4818521274997050398 logp*logq = 31.35325633890937686 -------------- ************************************* p = 127; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43248005365502.67119 -------------- Searches starting with [127,653]-exponents: u = 4, v = 71 n_start has 209 digits starting right neighbors generation We generated 2502 left neighbors We generated 7508 right neighbors We generated 10009 non-negative rho_i D1(127,653) = 0.8394990003333496729 D2(127,653) = 0.002657357118258242391 C1(127,653) = 1.130360603359259225 C2(127,653) = 1.509615588020363569 C3(127,653) = 5.950407638984306498 C4(127,653) = 5224 Sum = 4241.295129912189333 Averaged sum = 0.4237481396655199653 logp*logq = 31.39797222952623458 -------------- ************************************* p = 127; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45207274388210.76409 -------------- Searches starting with [127,659]-exponents: u = 4, v = 50 n_start has 150 digits starting right neighbors generation We generated 1292 left neighbors We generated 8718 right neighbors We generated 10009 non-negative rho_i D1(127,659) = 0.6403379777688404413 D2(127,659) = 0.0003102499720146035857 C1(127,659) = 0.8806243021428468433 C2(127,659) = 1.595027445666619326 C3(127,659) = 4.012565950859247519 C4(127,659) = 5272 Sum = 3824.021429539800612 Averaged sum = 0.3820582904925367781 logp*logq = 31.44227912760991008 -------------- ************************************* p = 127; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45875783154735.10967 -------------- Searches starting with [127,661]-exponents: u = 4, v = 44 n_start has 133 digits starting right neighbors generation We generated 884 left neighbors We generated 9126 right neighbors We generated 10009 non-negative rho_i D1(127,661) = 0.6601245388829329241 D2(127,661) = 0.03462014918504260512 C1(127,661) = 0.9115117128124198905 C2(127,661) = 1.629772003401957447 C3(127,661) = 4.212955609574720439 C4(127,661) = 5288 Sum = 4587.026235791210836 Averaged sum = 0.4582901624329314453 logp*logq = 31.45695849365042970 -------------- ************************************* p = 127; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50053454294033.65784 -------------- Searches starting with [127,673]-exponents: u = 4, v = 29 n_start has 91 digits starting right neighbors generation We generated 395 left neighbors We generated 9615 right neighbors We generated 10009 non-negative rho_i D1(127,673) = 0.8315308603082239811 D2(127,673) = 0.05751873000074006335 C1(127,673) = 1.129252902757891863 C2(127,673) = 1.754955339348765331 C3(127,673) = 5.940017150868009519 C4(127,673) = 5384 Sum = 4775.514502235369453 Averaged sum = 0.4771220403871884756 logp*logq = 31.54411263617203298 -------------- ************************************* p = 127; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51511129859399.64826 -------------- Searches starting with [127,677]-exponents: u = 4, v = 26 n_start has 83 digits starting right neighbors generation We generated 352 left neighbors We generated 9658 right neighbors We generated 10009 non-negative rho_i D1(127,677) = 1.050089149006138467 D2(127,677) = 0.03265441216613626404 C1(127,677) = 1.435029674115993025 C2(127,677) = 1.776519305489278393 C3(127,677) = 9.623040990639121508 C4(127,677) = 5416 Sum = 5103.749783467115139 Averaged sum = 0.5099160538982031310 logp*logq = 31.57281901402377130 -------------- ************************************* p = 127; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53760607836992.38883 -------------- Searches starting with [127,683]-exponents: u = 4, v = 23 n_start has 74 digits starting right neighbors generation We generated 309 left neighbors We generated 9701 right neighbors We generated 10009 non-negative rho_i D1(127,683) = 0.6224724886646000750 D2(127,683) = 0.01039130909211584336 C1(127,683) = 0.8371580291742158263 C2(127,683) = 1.811264451227968053 C3(127,683) = 3.746607382640867931 C4(127,683) = 5464 Sum = 4205.486997208646376 Averaged sum = 0.4201705462292583051 logp*logq = 31.61556211857119832 -------------- ************************************* p = 127; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56880432422314.17960 -------------- Searches starting with [127,691]-exponents: u = 4, v = 20 n_start has 66 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(127,691) = 0.7790861368680301170 D2(127,691) = 0.08756480079212559853 C1(127,691) = 1.006989717133252152 C2(127,691) = 1.890284365356170893 C3(127,691) = 4.897905571181585250 C4(127,691) = 5528 Sum = 4048.340088549278382 Averaged sum = 0.4044699858676469559 logp*logq = 31.67197250375599624 -------------- ************************************* p = 127; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60980428861796.82437 -------------- Searches starting with [127,701]-exponents: u = 4, v = 17 n_start has 57 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(127,701) = 0.7940286058626783747 D2(127,701) = 0.04974208445660270248 C1(127,701) = 1.016362115378379942 C2(127,701) = 1.925307805819766094 C3(127,701) = 4.970871896484182769 C4(127,701) = 5608 Sum = 3819.648255683473037 Averaged sum = 0.3816213663386425254 logp*logq = 31.74157409029103109 -------------- ************************************* p = 127; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64426372688450.97554 -------------- Searches starting with [127,709]-exponents: u = 4, v = 14 n_start has 49 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(127,709) = 0.7020965110108187147 D2(127,709) = 0.1165680056370886888 C1(127,709) = 0.9984719422800747303 C2(127,709) = 1.993996312726279690 C3(127,709) = 4.832522118826832968 C4(127,709) = 5672 Sum = 3669.790125060111512 Averaged sum = 0.3666490283804687293 logp*logq = 31.79654417900678926 -------------- ************************************* p = 127; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68949195042367.20674 -------------- Searches starting with [127,719]-exponents: u = 4, v = 11 n_start has 40 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(127,719) = 0.8870738090393866239 D2(127,719) = 0.01388237750238898972 C1(127,719) = 1.175070182334130135 C2(127,719) = 1.987772703041344695 C3(127,719) = 6.385319853615618286 C4(127,719) = 5752 Sum = 4412.497742710685514 Averaged sum = 0.4408530065651599075 logp*logq = 31.86439104558727057 -------------- ************************************* p = 127; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72745819476827.37628 -------------- Searches starting with [127,727]-exponents: u = 4, v = 11 n_start has 40 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(127,727) = 0.7567064716837541750 D2(127,727) = 0.05765668895195481897 C1(127,727) = 1.095275347523731634 C2(127,727) = 2.033449649528377318 C3(127,727) = 5.629963350249029174 C4(127,727) = 5816 Sum = 3526.802987883364192 Averaged sum = 0.3523631719335961827 logp*logq = 31.91799255609296783 -------------- ************************************* p = 127; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75700661635514.00806 -------------- Searches starting with [127,733]-exponents: u = 4, v = 11 n_start has 40 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(127,733) = 0.6089958271288965681 D2(127,733) = 0.09349969007282697935 C1(127,733) = 0.8026078237081489293 C2(127,733) = 2.070705716561240357 C3(127,733) = 3.547837022828192075 C4(127,733) = 5864 Sum = 4174.897174030279948 Averaged sum = 0.4171143145199600307 logp*logq = 31.95780801656511644 -------------- ************************************* p = 127; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78749960407248.03060 -------------- Searches starting with [127,739]-exponents: u = 4, v = 11 n_start has 40 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(127,739) = 1.258806540046178781 D2(127,739) = 0.07288153643653026305 C1(127,739) = 1.992236372032359624 C2(127,739) = 1.136086331657031813 C3(127,739) = 23.18045813289798685 C4(127,739) = 5912 Sum = 2271.792035339476614 Averaged sum = 0.2269749261004572499 logp*logq = 31.99729889086905989 -------------- ************************************* p = 127; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80836394928484.63064 -------------- Searches starting with [127,743]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(127,743) = 0.6709550594384804641 D2(127,743) = 0.1100509461929588175 C1(127,743) = 1.061870671852683777 C2(127,743) = 1.460555409920526375 C3(127,743) = 5.340918926008513073 C4(127,743) = 5944 Sum = 4180.258822498810733 Averaged sum = 0.4176499972523539547 logp*logq = 32.02344841232465498 -------------- ************************************* p = 127; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85140823831498.83481 -------------- Searches starting with [127,751]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(127,751) = 0.6566890983660220082 D2(127,751) = 0.09813115806933991239 C1(127,751) = 0.9356955493048787361 C2(127,751) = 1.934653729137059143 C3(127,751) = 4.376814630842369947 C4(127,751) = 6008 Sum = 4029.149041590164840 Averaged sum = 0.4025526068128848876 logp*logq = 32.07532775247975349 -------------- ************************************* p = 127; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88486920295151.24690 -------------- Searches starting with [127,757]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(127,757) = 0.9722836281188178792 D2(127,757) = 0.07892455153409476927 C1(127,757) = 1.443125761691007674 C2(127,757) = 1.779516105950876690 C3(127,757) = 9.746752636384274002 C4(127,757) = 6056 Sum = 3364.967987077265673 Averaged sum = 0.3361942239062109774 logp*logq = 32.11387586374480261 -------------- ************************************* p = 127; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90775018364876.59622 -------------- Searches starting with [127,761]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(127,761) = 0.8159384138118702259 D2(127,761) = 0.07129859905346392542 C1(127,761) = 1.126662284637477977 C2(127,761) = 1.772846094091663236 C3(127,761) = 5.915787334550990464 C4(127,761) = 6088 Sum = 4591.341012124347753 Averaged sum = 0.4587212520855577733 logp*logq = 32.13940523554098006 -------------- ************************************* p = 127; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95492026026251.49587 -------------- Searches starting with [127,769]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(127,769) = 0.7217645467082112709 D2(127,769) = 0.004541228775336503035 C1(127,769) = 0.9654692582421349048 C2(127,769) = 2.126439608975615730 C3(127,769) = 4.587327234462182545 C4(127,769) = 6152 Sum = 4407.869600287474775 Averaged sum = 0.4403906084811144745 logp*logq = 32.19006386282184108 -------------- ************************************* p = 127; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97922345586220.77847 -------------- Searches starting with [127,773]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(127,773) = 0.7301465447192509316 D2(127,773) = 0.01744843290301639064 C1(127,773) = 0.9922996951506370427 C2(127,773) = 2.140301561590029674 C3(127,773) = 4.785689279217096910 C4(127,773) = 6184 Sum = 4690.841215754608935 Averaged sum = 0.4686623254825266195 logp*logq = 32.21519588851331594 -------------- ************************************* p = 127; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106817743953570.9172 -------------- Searches starting with [127,787]-exponents: u = 11, v = 5 n_start has 38 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(127,787) = 0.7010763231838662754 D2(127,787) = 0.03125074321952949759 C1(127,787) = 1.162374123059898234 C2(127,787) = 2.056634989219193659 C3(127,787) = 6.258684388117219673 C4(127,787) = 6296 Sum = 4453.162051196893126 Averaged sum = 0.4449157809168641348 logp*logq = 32.30214517054197593 -------------- ************************************* p = 127; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113555175388775.6808 -------------- Searches starting with [127,797]-exponents: u = 11, v = 5 n_start has 38 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(127,797) = 0.8643587815880833362 D2(127,797) = 0.01283217946619811105 C1(127,797) = 1.104741262264532433 C2(127,797) = 2.040824265415898105 C3(127,797) = 5.714678602502600703 C4(127,797) = 6376 Sum = 3311.904401568001678 Averaged sum = 0.3308926367836948425 logp*logq = 32.36330996150201945 -------------- ************************************* p = 127; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122080606015593.4202 -------------- Searches starting with [127,809]-exponents: u = 11, v = 5 n_start has 38 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(127,809) = 0.7223629671322412410 D2(127,809) = 0.1276969534827030519 C1(127,809) = 1.018391869159613926 C2(127,809) = 1.933973024923008831 C3(127,809) = 4.986816650557346582 C4(127,809) = 6472 Sum = 4097.242207747117091 Averaged sum = 0.4093558005542129174 logp*logq = 32.43570264753816550 -------------- ************************************* p = 127; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 123549575114854.4311 -------------- Searches starting with [127,811]-exponents: u = 11, v = 5 n_start has 38 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(127,811) = 0.7189415951400286829 D2(127,811) = 0.1350425451824747405 C1(127,811) = 0.9593424733701209111 C2(127,811) = 1.941741312215532879 C3(127,811) = 4.543196491646465607 C4(127,811) = 6488 Sum = 4493.115241836813005 Averaged sum = 0.4489075074269970032 logp*logq = 32.44766360938399971 -------------- ************************************* p = 127; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131106277676256.1553 -------------- Searches starting with [127,821]-exponents: u = 18, v = 5 n_start has 53 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(127,821) = 0.7078750756822073933 D2(127,821) = 0.1265769353559043858 C1(127,821) = 1.094285834984260374 C2(127,821) = 1.439799247594844024 C3(127,821) = 5.621180526024448753 C4(127,821) = 6568 Sum = 4320.879529712594756 Averaged sum = 0.4316994234901183690 logp*logq = 32.50702939019140466 -------------- ************************************* p = 127; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132660684428670.6468 -------------- Searches starting with [127,823]-exponents: u = 18, v = 5 n_start has 53 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(127,823) = 0.6278811016448836063 D2(127,823) = 0.1400321269639367783 C1(127,823) = 0.8444320274080236202 C2(127,823) = 2.013462123835164506 C3(127,823) = 3.789854005766103204 C4(127,823) = 6584 Sum = 4455.877249870860108 Averaged sum = 0.4451870566361135086 logp*logq = 32.51881573928198917 -------------- ************************************* p = 127; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 135813366356060.4520 -------------- Searches starting with [127,827]-exponents: u = 18, v = 5 n_start has 53 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(127,827) = 0.7306451909336089114 D2(127,827) = 0.1166699474970458965 C1(127,827) = 0.9616471345180143173 C2(127,827) = 1.991062109153879903 C3(127,827) = 4.559746748398049415 C4(127,827) = 6616 Sum = 4335.298996607043188 Averaged sum = 0.4331400735944692964 logp*logq = 32.54230275298466054 -------------- ************************************* p = 127; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 137411844108564.8368 -------------- Searches starting with [127,829]-exponents: u = 18, v = 5 n_start has 53 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(127,829) = 0.6755366924780157881 D2(127,829) = 0.1056143200679461935 C1(127,829) = 0.9589164320482854482 C2(127,829) = 1.980485797888810812 C3(127,829) = 4.540143584607682199 C4(127,829) = 6632 Sum = 3823.835565746959000 Averaged sum = 0.3820397208259525427 logp*logq = 32.55400369366514682 -------------- ************************************* p = 127; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145629693181748.8669 -------------- Searches starting with [127,839]-exponents: u = 25, v = 5 n_start has 68 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(127,839) = 0.6290864989962020751 D2(127,839) = 0.05536435045039954812 C1(127,839) = 0.8543272470100975276 C2(127,839) = 1.932614973738025194 C3(127,839) = 3.849487303694665477 C4(127,839) = 6712 Sum = 4064.084981341059092 Averaged sum = 0.4060430593806633122 logp*logq = 32.61208816758670993 -------------- ************************************* p = 127; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 157784903243967.5667 -------------- Searches starting with [127,853]-exponents: u = 39, v = 5 n_start has 97 digits starting right neighbors generation We generated 594 left neighbors We generated 9416 right neighbors We generated 10009 non-negative rho_i D1(127,853) = 0.9057669188167042307 D2(127,853) = 0.06801080821787262698 C1(127,853) = 1.186326501083634919 C2(127,853) = 1.846230168808282013 C3(127,853) = 6.499736067914889661 C4(127,853) = 6824 Sum = 4300.971728020154807 Averaged sum = 0.4297104334119447305 logp*logq = 32.69225384957331791 -------------- ************************************* p = 127; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161401595076752.1057 -------------- Searches starting with [127,857]-exponents: u = 46, v = 5 n_start has 112 digits starting right neighbors generation We generated 848 left neighbors We generated 9162 right neighbors We generated 10009 non-negative rho_i D1(127,857) = 0.6405915284270221066 D2(127,857) = 0.03975341294874483010 C1(127,857) = 0.9045786828685977598 C2(127,857) = 1.818868304599985606 C3(127,857) = 4.167122102442481446 C4(127,857) = 6856 Sum = 3858.124533830493517 Averaged sum = 0.3854655344020874730 logp*logq = 32.71491675447115178 -------------- ************************************* p = 127; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 163234440876187.4140 -------------- Searches starting with [127,859]-exponents: u = 46, v = 5 n_start has 112 digits starting right neighbors generation We generated 848 left neighbors We generated 9162 right neighbors We generated 10009 non-negative rho_i D1(127,859) = 0.6802783603363313634 D2(127,859) = 0.02645560032154315196 C1(127,859) = 0.9506245059012753776 C2(127,859) = 1.806016675971801546 C3(127,859) = 4.481132512575914365 C4(127,859) = 6872 Sum = 4365.277983204769993 Averaged sum = 0.4361352765715625929 logp*logq = 32.72620857097440804 -------------- ************************************* p = 127; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166949676673770.2000 -------------- Searches starting with [127,863]-exponents: u = 60, v = 5 n_start has 141 digits starting right neighbors generation We generated 1461 left neighbors We generated 8549 right neighbors We generated 10009 non-negative rho_i D1(127,863) = 0.6633552609576597831 D2(127,863) = 0.001260292079123802200 C1(127,863) = 0.8794148811145610814 C2(127,863) = 1.781710597271492792 C3(127,863) = 4.004916474635321043 C4(127,863) = 6904 Sum = 4282.506338561443916 Averaged sum = 0.4278655548567732957 logp*logq = 32.74871354565128818 -------------- ************************************* p = 127; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180484797133254.1750 -------------- Searches starting with [127,877]-exponents: u = 249, v = 5 n_start has 539 digits --- performed 5000 steps in the continued fraction search [127,877]-exponents: u = 1, v = 161 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,877) = 0.5847303976350122000 D2(127,877) = 0.1790579190648960392 C1(127,877) = 0.7519408153557658766 C2(127,877) = 1.469259862623108509 C3(127,877) = 3.275258391093670091 C4(127,877) = 7016 Sum = 5091.862248285215070 Averaged sum = 0.5092371485433758446 logp*logq = 32.82666766374567656 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,877) = 0.5847303976350122000 D2(127,877) = 0.1790579190648960392 C1(127,877) = 0.7519408153557658766 C2(127,877) = 1.469259862623108509 C3(127,877) = 3.275258391093670091 C4(127,877) = 7016 Sum = 5091.862248285215070 Averaged sum = 0.5092371485433758446 logp*logq = 32.82666766374567656 -------------- ************************************* p = 127; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184507602420541.0469 -------------- Searches starting with [127,881]-exponents: u = 1684, v = 5 n_start has 3558 digits --- performed 5000 steps in the continued fraction search [127,881]-exponents: u = 427, v = 900 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,881) = 0.7403132533809948149 D2(127,881) = 0.5814942916886248778 C1(127,881) = 0.8975433628011793403 C2(127,881) = 1.564963292444057511 C3(127,881) = 4.121122059601316276 C4(127,881) = 7048 Sum = 6122.842734985593373 Averaged sum = 0.6123455080493642737 logp*logq = 32.84871178409159329 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,881) = 0.7403132533809948149 D2(127,881) = 0.5814942916886248778 C1(127,881) = 0.8975433628011793403 C2(127,881) = 1.564963292444057511 C3(127,881) = 4.121122059601316276 C4(127,881) = 7048 Sum = 6122.842734985593373 Averaged sum = 0.6123455080493642737 logp*logq = 32.84871178409159329 -------------- ************************************* p = 127; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 186545508754451.9458 -------------- Searches starting with [127,883]-exponents: u = 7, v = 662 n_start has 1965 digits --- performed 5000 steps in the continued fraction search [127,883]-exponents: u = 722, v = 146 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,883) = 1.049909062610192265 D2(127,883) = 0.5004246806969428305 C1(127,883) = 1.292376306053108593 C2(127,883) = 1.554620060894008700 C3(127,883) = 7.683573771894797297 C4(127,883) = 7064 Sum = 5852.213399497757132 Averaged sum = 0.5852798679365693701 logp*logq = 32.85969634001483624 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,883) = 1.049909062610192265 D2(127,883) = 0.5004246806969428305 C1(127,883) = 1.292376306053108593 C2(127,883) = 1.554620060894008700 C3(127,883) = 7.683573771894797297 C4(127,883) = 7064 Sum = 5852.213399497757132 Averaged sum = 0.5852798679365693701 logp*logq = 32.85969634001483624 -------------- ************************************* p = 127; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 190674901651378.0247 -------------- Searches starting with [127,887]-exponents: u = 7, v = 157 n_start has 478 digits --- performed 5000 steps in the continued fraction search [127,887]-exponents: u = 173, v = 14 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,887) = 0.5283379057341302185 D2(127,887) = 0.1270759883899946582 C1(127,887) = 0.6938612820764924871 C2(127,887) = 1.466914889964427614 C3(127,887) = 2.988465575136481870 C4(127,887) = 7096 Sum = 5023.155965199085892 Averaged sum = 0.5023658331032189110 logp*logq = 32.88159100818680990 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(127,887) = 0.5283379057341302185 D2(127,887) = 0.1270759883899946582 C1(127,887) = 0.6938612820764924871 C2(127,887) = 1.466914889964427614 C3(127,887) = 2.988465575136481870 C4(127,887) = 7096 Sum = 5023.155965199085892 Averaged sum = 0.5023658331032189110 logp*logq = 32.88159100818680990 -------------- ************************************* p = 127; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 212423728209609.9493 -------------- Searches starting with [127,907]-exponents: u = 7, v = 32 n_start has 110 digits starting right neighbors generation We generated 822 left neighbors We generated 9188 right neighbors We generated 10009 non-negative rho_i D1(127,907) = 0.6964414829908474404 D2(127,907) = 0.02672461895106254157 C1(127,907) = 0.9366383092473254918 C2(127,907) = 1.830818008254323585 C3(127,907) = 4.383329843694346601 C4(127,907) = 7256 Sum = 4382.718728817930232 Averaged sum = 0.4378777828772035400 logp*logq = 32.98960411379121584 -------------- ************************************* p = 127; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 217000484682149.2371 -------------- Searches starting with [127,911]-exponents: u = 7, v = 27 n_start has 95 digits starting right neighbors generation We generated 574 left neighbors We generated 9436 right neighbors We generated 10009 non-negative rho_i D1(127,911) = 0.7757737180882032643 D2(127,911) = 0.05039444595459061831 C1(127,911) = 1.052770894448626183 C2(127,911) = 1.855194095116830775 C3(127,911) = 5.264784846701534081 C4(127,911) = 7288 Sum = 4610.313741477942551 Averaged sum = 0.4606168190106846389 logp*logq = 33.01092070302480479 -------------- ************************************* p = 127; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226388693610487.8883 -------------- Searches starting with [127,919]-exponents: u = 7, v = 22 n_start has 80 digits starting right neighbors generation We generated 457 left neighbors We generated 9553 right neighbors We generated 10009 non-negative rho_i D1(127,919) = 0.5834848349147997521 D2(127,919) = 0.006191981158905836196 C1(127,919) = 0.7723217441780311462 C2(127,919) = 1.922588454410958037 C3(127,919) = 3.382291284432297619 C4(127,919) = 7352 Sum = 4297.984724808486338 Averaged sum = 0.4294120016793372303 logp*logq = 33.05327452112753458 -------------- ************************************* p = 127; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 238574154917300.3201 -------------- Searches starting with [127,929]-exponents: u = 7, v = 17 n_start has 66 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(127,929) = 0.6620707979625724266 D2(127,929) = 0.04067212660465325972 C1(127,929) = 0.9011402943662840034 C2(127,929) = 1.958926418593655882 C3(127,929) = 4.144576597255409702 C4(127,929) = 7432 Sum = 4052.075080641605272 Averaged sum = 0.4048431492298536589 logp*logq = 33.10570130001580613 -------------- ************************************* p = 127; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 248692421183816.3249 -------------- Searches starting with [127,937]-exponents: u = 7, v = 12 n_start has 51 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(127,937) = 0.6071065379548206664 D2(127,937) = 0.07029018041163040059 C1(127,937) = 0.8097301124553771739 C2(127,937) = 1.990016119119024822 C3(127,937) = 3.587930339861447280 C4(127,937) = 7496 Sum = 4372.040051248018428 Averaged sum = 0.4368108753369985441 logp*logq = 33.14723799254545278 -------------- ************************************* p = 127; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 253877640990730.5971 -------------- Searches starting with [127,941]-exponents: u = 7, v = 12 n_start has 51 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(127,941) = 0.6553784610972914091 D2(127,941) = 0.08592160082096095816 C1(127,941) = 0.8625842597338975562 C2(127,941) = 2.006378570413199320 C3(127,941) = 3.899965537397697794 C4(127,941) = 7528 Sum = 4302.106011084682212 Averaged sum = 0.4298237597247159768 logp*logq = 33.16787353849573979 -------------- ************************************* p = 127; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 261815969618417.6807 -------------- Searches starting with [127,947]-exponents: u = 7, v = 12 n_start has 51 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(127,947) = 0.6716550474410058103 D2(127,947) = 0.1105894084645083548 C1(127,947) = 0.9326422172506804557 C2(127,947) = 2.032137010725348394 C3(127,947) = 4.355780101374530491 C4(127,947) = 7576 Sum = 3724.080738005482379 Averaged sum = 0.3720732079134261544 logp*logq = 33.19866296685037398 -------------- ************************************* p = 127; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269950016674200.6915 -------------- Searches starting with [127,953]-exponents: u = 7, v = 12 n_start has 51 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(127,953) = 0.7720617905330779854 D2(127,953) = 0.1088981700033093178 C1(127,953) = 1.003302729767025101 C2(127,953) = 1.417103767584531940 C3(127,953) = 4.869495929001668688 C4(127,953) = 7624 Sum = 4315.247997425824739 Averaged sum = 0.4311367766436032310 logp*logq = 33.22925793436057962 -------------- ************************************* p = 127; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 289710591835385.2391 -------------- Searches starting with [127,967]-exponents: u = 7, v = 7 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(127,967) = 0.7540892868348253435 D2(127,967) = 0.1116109911180024026 C1(127,967) = 0.9918589401078462749 C2(127,967) = 1.985918557382388420 C3(127,967) = 4.782362399620651273 C4(127,967) = 7736 Sum = 4207.423169991085192 Averaged sum = 0.4203639894086407426 logp*logq = 33.29990358142792553 -------------- ************************************* p = 127; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 295562150589329.0509 -------------- Searches starting with [127,971]-exponents: u = 7, v = 7 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(127,971) = 0.6599985427856658226 D2(127,971) = 0.1001216795552135280 C1(127,971) = 0.9042925207344661084 C2(127,971) = 1.975211515147707360 C3(127,971) = 4.165241068431405056 C4(127,971) = 7768 Sum = 4331.789571403340642 Averaged sum = 0.4327894466383595406 logp*logq = 33.31990025414316511 -------------- ************************************* p = 127; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 304514961562058.3954 -------------- Searches starting with [127,977]-exponents: u = 7, v = 7 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(127,977) = 0.9029477860469321469 D2(127,977) = 0.07807950104520873607 C1(127,977) = 1.335205970140363299 C2(127,977) = 1.829009411596777283 C3(127,977) = 8.220742533546820491 C4(127,977) = 7816 Sum = 3102.259957725527478 Averaged sum = 0.3099470434334626314 logp*logq = 33.34974133672218917 -------------- ************************************* p = 127; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 313681644860072.1063 -------------- Searches starting with [127,983]-exponents: u = 7, v = 7 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(127,983) = 0.5854123337725514020 D2(127,983) = 0.06350609884247113944 C1(127,983) = 0.7663095942536724376 C2(127,983) = 1.815556758656270997 C3(127,983) = 3.350359079643474684 C4(127,983) = 7864 Sum = 4364.667432027901775 Averaged sum = 0.4360742763540715131 logp*logq = 33.37939971765069984 -------------- ************************************* p = 127; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 326243078940685.5925 -------------- Searches starting with [127,991]-exponents: u = 7, v = 7 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(127,991) = 0.7263518645565412724 D2(127,991) = 0.04299914861166499808 C1(127,991) = 1.024015300488105800 C2(127,991) = 1.713579606103485149 C3(127,991) = 5.031259220265819995 C4(127,991) = 7928 Sum = 4241.082827572721281 Averaged sum = 0.4237269285216026856 logp*logq = 33.41866386036552177 -------------- ************************************* p = 127; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 335923481076263.8687 -------------- Searches starting with [127,997]-exponents: u = 7, v = 7 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(127,997) = 0.5657655725607510541 D2(127,997) = 0.02856849546644882237 C1(127,997) = 0.7780706659453055718 C2(127,997) = 1.592327491320835088 C3(127,997) = 3.413110020900592297 C4(127,997) = 7976 Sum = 4405.703661568069910 Averaged sum = 0.4401742093683754531 logp*logq = 33.44790451506415240 -------------- ************************************* p = 131; q = 137; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26117667547.48784029 -------------- Searches starting with [131,137]-exponents: u = 1, v = 108 n_start has 233 digits starting right neighbors generation We generated 1639 left neighbors We generated 8371 right neighbors We generated 10009 non-negative rho_i D1(131,137) = 0.8079414367112502552 D2(131,137) = 0.009125727179858487834 C1(131,137) = 1.080234665388531715 C2(131,137) = 1.149728522036805676 C3(131,137) = 5.535961004233339407 C4(131,137) = 1096 Sum = 5358.909319312482458 Averaged sum = 0.5354090637738517792 logp*logq = 23.98587783979799791 -------------- ************************************* p = 131; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28029801214.22928855 -------------- Searches starting with [131,139]-exponents: u = 1, v = 82 n_start has 178 digits starting right neighbors generation We generated 1013 left neighbors We generated 8997 right neighbors We generated 10009 non-negative rho_i D1(131,139) = 0.7038662959946325117 D2(131,139) = 0.009200434603939765877 C1(131,139) = 0.9562054027610438781 C2(131,139) = 1.206333755720313670 C3(131,139) = 4.548433580257461364 C4(131,139) = 1112 Sum = 4381.038810313857085 Averaged sum = 0.4377099420835105490 logp*logq = 24.05653411020460651 -------------- ************************************* p = 131; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39328907144.50801190 -------------- Searches starting with [131,149]-exponents: u = 1, v = 37 n_start has 83 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(131,149) = 0.7718560635431131588 D2(131,149) = 0.02704202688280735586 C1(131,149) = 1.105614320547831388 C2(131,149) = 1.414110015895770016 C3(131,149) = 5.763071755819510099 C4(131,149) = 1192 Sum = 4801.664836398369245 Averaged sum = 0.4797347223896862069 logp*logq = 24.39522563618759292 -------------- ************************************* p = 131; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41970349019.74561735 -------------- Searches starting with [131,151]-exponents: u = 1, v = 34 n_start has 77 digits starting right neighbors generation We generated 200 left neighbors We generated 9810 right neighbors We generated 10009 non-negative rho_i D1(131,151) = 0.7549249045967689471 D2(131,151) = 0.03348346417861008358 C1(131,151) = 1.011371327660783174 C2(131,151) = 1.448840592982375917 C3(131,151) = 4.963814954796658517 C4(131,151) = 1208 Sum = 4671.284742427153537 Averaged sum = 0.4667084366497305962 logp*logq = 24.46022923019122952 -------------- ************************************* p = 131; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50750941969.99216338 -------------- Searches starting with [131,157]-exponents: u = 1, v = 26 n_start has 60 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(131,157) = 0.8802616620661919663 D2(131,157) = 0.07462874860208299172 C1(131,157) = 1.298746128141127273 C2(131,157) = 1.561639795081579462 C3(131,157) = 7.825772236040508500 C4(131,157) = 1256 Sum = 4664.435758978735532 Averaged sum = 0.4660241541591303359 logp*logq = 24.65019601568112218 -------------- ************************************* p = 131; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60932793267.14776507 -------------- Searches starting with [131,163]-exponents: u = 1, v = 22 n_start has 51 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(131,163) = 0.6925884344844053754 D2(131,163) = 0.09132514031816760481 C1(131,163) = 0.9508378224895594515 C2(131,163) = 1.642705945972061623 C3(131,163) = 4.509921720708872973 C4(131,163) = 1304 Sum = 4421.674777838256337 Averaged sum = 0.4417698848874269494 logp*logq = 24.83303734402845589 -------------- ************************************* p = 131; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68577459190.50896519 -------------- Searches starting with [131,167]-exponents: u = 1, v = 20 n_start has 47 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(131,167) = 0.8511804490576688834 D2(131,167) = 0.09295437634203217831 C1(131,167) = 1.294103733966064813 C2(131,167) = 1.684203916587230839 C3(131,167) = 7.768430289437201177 C4(131,167) = 1336 Sum = 3864.454136284343185 Averaged sum = 0.3860979254954883789 logp*logq = 24.95122973445422102 -------------- ************************************* p = 131; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81454741764.11338096 -------------- Searches starting with [131,173]-exponents: u = 1, v = 17 n_start has 41 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(131,173) = 0.7816002688288121344 D2(131,173) = 0.1436152489947128041 C1(131,173) = 1.124508322913876330 C2(131,173) = 1.782863962946920954 C3(131,173) = 5.938174466396145096 C4(131,173) = 1384 Sum = 4156.615017420235148 Averaged sum = 0.4152877427735273401 logp*logq = 25.12331338717056601 -------------- ************************************* p = 131; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96184051403.38628456 -------------- Searches starting with [131,179]-exponents: u = 1, v = 15 n_start has 36 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(131,179) = 0.6105136478349000196 D2(131,179) = 0.09829143198405260770 C1(131,179) = 0.8293867454721013681 C2(131,179) = 1.794053467445987101 C3(131,179) = 3.720588251490594413 C4(131,179) = 1432 Sum = 4709.345915470055112 Averaged sum = 0.4705111315286297444 logp*logq = 25.28952939504649719 -------------- ************************************* p = 131; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101537985977.1839986 -------------- Searches starting with [131,181]-exponents: u = 1, v = 15 n_start has 36 digits starting right neighbors generation We generated 61 left neighbors We generated 9949 right neighbors We generated 10009 non-negative rho_i D1(131,181) = 0.8374582539973884626 D2(131,181) = 0.01000065555793856871 C1(131,181) = 1.316009598258192369 C2(131,181) = 1.737365407774216219 C3(131,181) = 8.042745690661854332 C4(131,181) = 1448 Sum = 4346.614217125529770 Averaged sum = 0.4342705781921800150 logp*logq = 25.34369881149628669 -------------- ************************************* p = 131; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131973813481.1102729 -------------- Searches starting with [131,191]-exponents: u = 1, v = 12 n_start has 30 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(131,191) = 0.9070608679443810101 D2(131,191) = 0.1256070420343499803 C1(131,191) = 1.179568123937268337 C2(131,191) = 1.185639004235660617 C3(131,191) = 6.479383219018846170 C4(131,191) = 1528 Sum = 4573.389144248551347 Averaged sum = 0.4569276795132931708 logp*logq = 25.60586935713346599 -------------- ************************************* p = 131; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138849037923.7409329 -------------- Searches starting with [131,193]-exponents: u = 1, v = 12 n_start has 30 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(131,193) = 0.5861941088662292212 D2(131,193) = 0.04133787672307583211 C1(131,193) = 0.7901165060158210021 C2(131,193) = 1.850396319268004902 C3(131,193) = 3.496181673627069479 C4(131,193) = 1544 Sum = 4643.345983048381849 Averaged sum = 0.4639170729391929113 logp*logq = 25.65665312178606060 -------------- ************************************* p = 131; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 153453077970.5022746 -------------- Searches starting with [131,197]-exponents: u = 1, v = 11 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(131,197) = 0.9299651041476995707 D2(131,197) = 0.1050347694802321319 C1(131,197) = 1.504328903827620980 C2(131,197) = 1.137243724660411810 C3(131,197) = 10.83843430830415194 C4(131,197) = 1576 Sum = 4432.946691723840476 Averaged sum = 0.4428960627159397018 logp*logq = 25.75666067626978433 -------------- ************************************* p = 131; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161199007875.9953646 -------------- Searches starting with [131,199]-exponents: u = 1, v = 11 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(131,199) = 0.9198314457758519235 D2(131,199) = 0.1391104788169765904 C1(131,199) = 1.320415968816275724 C2(131,199) = 1.703305257919694404 C3(131,199) = 8.099083662926637149 C4(131,199) = 1592 Sum = 4709.531543658399537 Averaged sum = 0.4705296776559495991 logp*logq = 25.80590551238458598 -------------- ************************************* p = 131; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 214454717644.2684155 -------------- Searches starting with [131,211]-exponents: u = 1, v = 10 n_start has 26 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(131,211) = 0.6075804041364884308 D2(131,211) = 0.05906571360890763818 C1(131,211) = 0.8007146136732354656 C2(131,211) = 1.976984596505826116 C3(131,211) = 3.555374943238069572 C4(131,211) = 1688 Sum = 4523.346348874495918 Averaged sum = 0.4519278997776497071 logp*logq = 26.09136444647483059 -------------- ************************************* p = 131; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 280833933139.5993316 -------------- Searches starting with [131,223]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(131,223) = 0.8605954450835152103 D2(131,223) = 0.04071105360089021102 C1(131,223) = 1.192233297431487130 C2(131,223) = 2.028043147562416069 C3(131,223) = 6.610696322910034049 C4(131,223) = 1784 Sum = 4084.135131915686550 Averaged sum = 0.4080462715471761964 logp*logq = 26.36102934631119973 -------------- ************************************* p = 131; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 306260475435.9128792 -------------- Searches starting with [131,227]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(131,227) = 0.6864875942952183958 D2(131,227) = 0.07056885006351860386 C1(131,227) = 0.9041109008674464510 C2(131,227) = 1.774212929117018572 C3(131,227) = 4.188140535979952544 C4(131,227) = 1816 Sum = 4662.453122060533748 Averaged sum = 0.4658260687441836095 logp*logq = 26.44770180372537460 -------------- ************************************* p = 131; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 319641843463.2192745 -------------- Searches starting with [131,229]-exponents: u = 1, v = 8 n_start has 21 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(131,229) = 0.7557103101335977509 D2(131,229) = 0.06587665236631417981 C1(131,229) = 1.011908610647353945 C2(131,229) = 1.771221820576611664 C3(131,229) = 4.968041667316686094 C4(131,229) = 1832 Sum = 4617.789349823582091 Averaged sum = 0.4613637076454772795 logp*logq = 26.49046696674682719 -------------- ************************************* p = 131; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 347798135318.2360024 -------------- Searches starting with [131,233]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(131,233) = 0.8492669548820811180 D2(131,233) = 0.05174660046397478827 C1(131,233) = 1.120740357069145796 C2(131,233) = 1.609055034179633957 C3(131,233) = 5.902834706700466696 C4(131,233) = 1864 Sum = 4638.170238387031368 Averaged sum = 0.4633999638712190396 logp*logq = 26.57488807749004800 -------------- ************************************* p = 131; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 393694257568.7456239 -------------- Searches starting with [131,239]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(131,239) = 0.7142038829095232468 D2(131,239) = 0.01490955076799986288 C1(131,239) = 1.229480450798011243 C2(131,239) = 2.087081520707356144 C3(131,239) = 7.012501356309898518 C4(131,239) = 1912 Sum = 4127.451117683014428 Averaged sum = 0.4123739751906298759 logp*logq = 26.69884044898517138 -------------- ************************************* p = 131; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 410018176445.3064039 -------------- Searches starting with [131,241]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(131,241) = 1.702346385409065855 D2(131,241) = 0.02202015738089549759 C1(131,241) = 2.929708424502239807 C2(131,241) = 0.9566023877150958804 C3(131,241) = 103.6612734470828905 C4(131,241) = 1928 Sum = 4421.094207314889644 Averaged sum = 0.4417118800394534562 logp*logq = 26.73946732845552565 -------------- ************************************* p = 131; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 499899731535.4119136 -------------- Searches starting with [131,251]-exponents: u = 1, v = 7 n_start has 19 digits starting right neighbors generation We generated 16 left neighbors We generated 9994 right neighbors We generated 10009 non-negative rho_i D1(131,251) = 1.283722425431155705 D2(131,251) = 0.01861745247202551435 C1(131,251) = 2.001501927117291187 C2(131,251) = 1.632924784738847297 C3(131,251) = 23.82416624829602069 C4(131,251) = 2008 Sum = 3610.120336302720738 Averaged sum = 0.3606874149568109439 logp*logq = 26.93767337832920814 -------------- ************************************* p = 131; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 560918174497.7156884 -------------- Searches starting with [131,257]-exponents: u = 33, v = 7 n_start has 87 digits starting right neighbors generation We generated 454 left neighbors We generated 9556 right neighbors We generated 10009 non-negative rho_i D1(131,257) = 0.7257734166933453466 D2(131,257) = 0.007425430969912427641 C1(131,257) = 0.9584372839960911528 C2(131,257) = 1.463019036225733098 C3(131,257) = 4.564543750316537154 C4(131,257) = 2056 Sum = 4477.594772790063976 Averaged sum = 0.4473568561085087398 logp*logq = 27.05284087532070152 -------------- ************************************* p = 131; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 627713960120.1550434 -------------- Searches starting with [131,263]-exponents: u = 8, v = 1392 n_start has 3386 digits --- performed 5000 steps in the continued fraction search [131,263]-exponents: u = 121, v = 1290 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,263) = 0.8424059799336603535 D2(131,263) = 0.6152326149240420924 C1(131,263) = 1.023411305754628516 C2(131,263) = 1.469209801553492855 C3(131,263) = 5.059399740444771051 C4(131,263) = 2104 Sum = 6316.500731454987533 Averaged sum = 0.6317132444699457478 logp*logq = 27.16535042213754099 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,263) = 0.8424059799336603535 D2(131,263) = 0.6152326149240420924 C1(131,263) = 1.023411305754628516 C2(131,263) = 1.469209801553492855 C3(131,263) = 5.059399740444771051 C4(131,263) = 2104 Sum = 6316.500731454987533 Averaged sum = 0.6317132444699457478 logp*logq = 27.16535042213754099 -------------- ************************************* p = 131; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 700683372302.5140862 -------------- Searches starting with [131,269]-exponents: u = 8, v = 27 n_start has 83 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(131,269) = 0.7358990581040120267 D2(131,269) = 0.05611858995733498748 C1(131,269) = 1.010297924626247569 C2(131,269) = 1.535082451770600907 C3(131,269) = 4.955381443908942765 C4(131,269) = 2152 Sum = 4509.593164566008155 Averaged sum = 0.4505538180203824713 logp*logq = 27.27532194191790765 -------------- ************************************* p = 131; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 726449408193.2083900 -------------- Searches starting with [131,271]-exponents: u = 8, v = 20 n_start has 66 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(131,271) = 0.7233988086872551653 D2(131,271) = 0.08057448452085793896 C1(131,271) = 0.9584627917221658572 C2(131,271) = 1.634236793198115566 C3(131,271) = 4.564728199652206178 C4(131,271) = 2168 Sum = 4422.305727773644514 Averaged sum = 0.4418329231465325721 logp*logq = 27.31143467980750919 -------------- ************************************* p = 131; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 808296749116.6643563 -------------- Searches starting with [131,277]-exponents: u = 8, v = 13 n_start has 49 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(131,277) = 0.9655566621431682772 D2(131,277) = 0.1088342555286687296 C1(131,277) = 1.530434794281791921 C2(131,277) = 1.137832801511093753 C3(131,277) = 11.29606541412203209 C4(131,277) = 2216 Sum = 3825.793330249393836 Averaged sum = 0.3822353212358271392 logp*logq = 27.41819509180092840 -------------- ************************************* p = 131; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 866815155771.6199405 -------------- Searches starting with [131,281]-exponents: u = 15, v = 6 n_start has 47 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(131,281) = 0.7177645250367448730 D2(131,281) = 0.1136170074414079823 C1(131,281) = 0.9502743595302370178 C2(131,281) = 1.802794096649941136 C3(131,281) = 4.505897889420511873 C4(131,281) = 2248 Sum = 4533.906060209492601 Averaged sum = 0.4529829213916967331 logp*logq = 27.48809159119459130 -------------- ************************************* p = 131; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 897310330148.6650260 -------------- Searches starting with [131,283]-exponents: u = 22, v = 6 n_start has 62 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(131,283) = 1.003042849365256725 D2(131,283) = 0.08561767349926151703 C1(131,283) = 1.517102738925894639 C2(131,283) = 1.776210998894251998 C3(131,283) = 11.05999291057007167 C4(131,283) = 2264 Sum = 3079.604753966704460 Averaged sum = 0.3076835601924971986 logp*logq = 27.52266760366455744 -------------- ************************************* p = 131; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1062836399364.154580 -------------- Searches starting with [131,293]-exponents: u = 120, v = 6 n_start has 269 digits --- performed 5000 steps in the continued fraction search [131,293]-exponents: u = 33, v = 23 --- starting right neighbors generation We generated 6703 left neighbors We generated 3307 right neighbors We generated 10009 non-negative rho_i D1(131,293) = 0.6972487286453990376 D2(131,293) = 0.009601262109614669512 C1(131,293) = 0.9252659526542003447 C2(131,293) = 1.529491503205258786 C3(131,293) = 4.330876075185929805 C4(131,293) = 2344 Sum = 4884.442828627805171 Averaged sum = 0.4880050782923174314 logp*logq = 27.69196229880050768 -------------- ************************************* p = 131; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1334413265158.530112 -------------- Searches starting with [131,307]-exponents: u = 7, v = 17 n_start has 58 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(131,307) = 0.6123559029233986203 D2(131,307) = 0.03311033858035810136 C1(131,307) = 0.8377405245422390640 C2(131,307) = 1.661843010588008989 C3(131,307) = 3.770152740659837839 C4(131,307) = 2456 Sum = 4517.591821316409193 Averaged sum = 0.4513529644636236580 logp*logq = 27.91951280941764754 -------------- ************************************* p = 131; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1421342610493.208736 -------------- Searches starting with [131,311]-exponents: u = 7, v = 11 n_start has 43 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(131,311) = 0.6459275594958199309 D2(131,311) = 0.06836291919964356757 C1(131,311) = 0.8844259997444193375 C2(131,311) = 1.820820990898801766 C3(131,311) = 4.059552739601608208 C4(131,311) = 2488 Sum = 4195.824017365830200 Averaged sum = 0.4192051171311649715 logp*logq = 27.98262304118514456 -------------- ************************************* p = 131; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1466462880021.963075 -------------- Searches starting with [131,313]-exponents: u = 7, v = 11 n_start has 43 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(131,313) = 0.8664325710598957649 D2(131,313) = 0.08566089271566423523 C1(131,313) = 1.258986655480501734 C2(131,313) = 1.839264997363124731 C3(131,313) = 7.348065127361126133 C4(131,313) = 2504 Sum = 3717.539410740914348 Averaged sum = 0.3714196633770520879 logp*logq = 28.01387441309127153 -------------- ************************************* p = 131; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1560117902071.216770 -------------- Searches starting with [131,317]-exponents: u = 7, v = 11 n_start has 43 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(131,317) = 0.8445122627993207280 D2(131,317) = 0.09152037548743061908 C1(131,317) = 1.366193953267500961 C2(131,317) = 1.230559374222934887 C3(131,317) = 8.708247853068646737 C4(131,317) = 2536 Sum = 4385.923271016909022 Averaged sum = 0.4381979489476380279 logp*logq = 28.07578251258488177 -------------- ************************************* p = 131; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1926010676290.549774 -------------- Searches starting with [131,331]-exponents: u = 19, v = 5 n_start has 53 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(131,331) = 0.7274275048751987354 D2(131,331) = 0.003107564911396580987 C1(131,331) = 0.9520643052331181067 C2(131,331) = 1.793074802520812560 C3(131,331) = 4.518692771416415014 C4(131,331) = 2648 Sum = 4403.884236687704609 Averaged sum = 0.4399924304813372574 logp*logq = 28.28647197253447124 -------------- ************************************* p = 131; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2102299208368.691856 -------------- Searches starting with [131,337]-exponents: u = 37, v = 5 n_start has 91 digits starting right neighbors generation We generated 678 left neighbors We generated 9332 right neighbors We generated 10009 non-negative rho_i D1(131,337) = 0.6901343907151248575 D2(131,337) = 0.02170159253226993108 C1(131,337) = 0.9071869983328398266 C2(131,337) = 1.698941619259094949 C3(131,337) = 4.208599287873870812 C4(131,337) = 2696 Sum = 4370.592840962232634 Averaged sum = 0.4366662844402270590 logp*logq = 28.37405272286254799 -------------- ************************************* p = 131; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2424417753237.188918 -------------- Searches starting with [131,347]-exponents: u = 1279, v = 5 n_start has 2721 digits --- performed 5000 steps in the continued fraction search [131,347]-exponents: u = 726, v = 462 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,347) = 0.6709624654879974994 D2(131,347) = 0.5059680840815278177 C1(131,347) = 0.8195418591517230558 C2(131,347) = 1.413536680986369441 C3(131,347) = 3.663012539506345381 C4(131,347) = 2776 Sum = 6164.525836635000031 Averaged sum = 0.6165142350870087040 logp*logq = 28.51661250973109273 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,347) = 0.6709624654879974994 D2(131,347) = 0.5059680840815278177 C1(131,347) = 0.8195418591517230558 C2(131,347) = 1.413536680986369441 C3(131,347) = 3.663012539506345381 C4(131,347) = 2776 Sum = 6164.525836635000031 Averaged sum = 0.6165142350870087040 logp*logq = 28.51661250973109273 -------------- ************************************* p = 131; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2493306762083.094207 -------------- Searches starting with [131,349]-exponents: u = 6, v = 199 n_start has 519 digits --- performed 5000 steps in the continued fraction search [131,349]-exponents: u = 114, v = 87 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,349) = 0.6158328718108791246 D2(131,349) = 0.1969669006802613187 C1(131,349) = 0.7939734025611177246 C2(131,349) = 1.354291241958551260 C3(131,349) = 3.517608537816547999 C4(131,349) = 2792 Sum = 5267.860020560862898 Averaged sum = 0.5268386859246787576 logp*logq = 28.54463096227149393 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,349) = 0.6158328718108791246 D2(131,349) = 0.1969669006802613187 C1(131,349) = 0.7939734025611177246 C2(131,349) = 1.354291241958551260 C3(131,349) = 3.517608537816547999 C4(131,349) = 2792 Sum = 5267.860020560862898 Averaged sum = 0.5268386859246787576 logp*logq = 28.54463096227149393 -------------- ************************************* p = 131; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2635751266221.981363 -------------- Searches starting with [131,353]-exponents: u = 6, v = 59 n_start has 164 digits starting right neighbors generation We generated 2212 left neighbors We generated 7798 right neighbors We generated 10009 non-negative rho_i D1(131,353) = 0.6914710638984548838 D2(131,353) = 0.01059496868619621489 C1(131,353) = 0.9484488683881220725 C2(131,353) = 1.577582377570215005 C3(131,353) = 4.492886236583232496 C4(131,353) = 2824 Sum = 4051.202336816499371 Averaged sum = 0.4047559533236586443 logp*logq = 28.60018936780626910 -------------- ************************************* p = 131; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2861472761774.095239 -------------- Searches starting with [131,359]-exponents: u = 6, v = 29 n_start has 87 digits starting right neighbors generation We generated 630 left neighbors We generated 9380 right neighbors We generated 10009 non-negative rho_i D1(131,359) = 0.8085455313476795895 D2(131,359) = 0.006938521402883890117 C1(131,359) = 1.168819345523727360 C2(131,359) = 1.732824540958813115 C3(131,359) = 6.369987661015828645 C4(131,359) = 2872 Sum = 3154.324942101617059 Averaged sum = 0.3151488602359493515 logp*logq = 28.68235755988746256 -------------- ************************************* p = 131; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3186053992813.964502 -------------- Searches starting with [131,367]-exponents: u = 6, v = 14 n_start has 49 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(131,367) = 0.7091037964229814119 D2(131,367) = 0.1055415341970008648 C1(131,367) = 0.9612920985110231301 C2(131,367) = 1.835141063143495786 C3(131,367) = 4.585233578668266557 C4(131,367) = 2936 Sum = 4679.274541561052045 Averaged sum = 0.4675066981277901933 logp*logq = 28.78980427416984640 -------------- ************************************* p = 131; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3448164790213.273878 -------------- Searches starting with [131,373]-exponents: u = 6, v = 9 n_start has 36 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(131,373) = 1.054951713196488749 D2(131,373) = 0.001628908070860519750 C1(131,373) = 1.357847467541550668 C2(131,373) = 1.874014678029248575 C3(131,373) = 8.593863757219881883 C4(131,373) = 2984 Sum = 4231.655918891210453 Averaged sum = 0.4227850853123399394 logp*logq = 28.86886326057323479 -------------- ************************************* p = 131; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3727133715985.472724 -------------- Searches starting with [131,379]-exponents: u = 6, v = 9 n_start has 36 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(131,379) = 0.6731994687081477315 D2(131,379) = 0.03262492219885840774 C1(131,379) = 0.9073876422685315194 C2(131,379) = 1.907964930581064427 C3(131,379) = 4.209937213093557605 C4(131,379) = 3032 Sum = 4341.719803283871579 Averaged sum = 0.4337815769091689059 logp*logq = 28.94666061342776850 -------------- ************************************* p = 131; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3922868481292.749791 -------------- Searches starting with [131,383]-exponents: u = 6, v = 9 n_start has 36 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(131,383) = 0.7395347452391237185 D2(131,383) = 0.05426199788106695235 C1(131,383) = 1.024520816277423101 C2(131,383) = 1.931545044791612850 C3(131,383) = 5.068300177744000534 C4(131,383) = 3064 Sum = 3869.292933916112523 Averaged sum = 0.3865813701584686305 logp*logq = 28.99784425756027572 -------------- ************************************* p = 131; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4231704795379.115571 -------------- Searches starting with [131,389]-exponents: u = 11, v = 4 n_start has 34 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(131,389) = 0.7728468831739549657 D2(131,389) = 0.05835211811243759441 C1(131,389) = 1.283425297807565007 C2(131,389) = 1.298078177849829258 C3(131,389) = 7.638122022571433659 C4(131,389) = 3112 Sum = 4562.679352102140142 Averaged sum = 0.4558576633132321052 logp*logq = 29.07362605270632970 -------------- ************************************* p = 131; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4673223179237.159247 -------------- Searches starting with [131,397]-exponents: u = 11, v = 4 n_start has 34 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(131,397) = 0.8422665321551493285 D2(131,397) = 0.01188555245911707427 C1(131,397) = 1.247106180625583399 C2(131,397) = 1.931617818316057153 C3(131,397) = 7.211063548783574145 C4(131,397) = 3176 Sum = 3679.374317151493749 Averaged sum = 0.3676065857879402287 logp*logq = 29.17287013781244533 -------------- ************************************* p = 131; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4907298515333.001767 -------------- Searches starting with [131,401]-exponents: u = 11, v = 4 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(131,401) = 0.8142487191366632702 D2(131,401) = 0.1479626781520872071 C1(131,401) = 1.113012109005454517 C2(131,401) = 1.832329447431698602 C3(131,401) = 5.831008140750510872 C4(131,401) = 3208 Sum = 4920.010955248197242 Averaged sum = 0.4915586927013884745 logp*logq = 29.22174470577593979 -------------- ************************************* p = 131; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5403392058300.482584 -------------- Searches starting with [131,409]-exponents: u = 16, v = 4 n_start has 45 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(131,409) = 1.220061500818216147 D2(131,409) = 0.09800525831906432843 C1(131,409) = 1.582827704899915352 C2(131,409) = 1.891416709498592164 C3(131,409) = 12.27363241589482809 C4(131,409) = 3272 Sum = 4046.565252706281563 Averaged sum = 0.4042926618749407096 logp*logq = 29.31804803123406243 -------------- ************************************* p = 131; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6078701053944.457552 -------------- Searches starting with [131,419]-exponents: u = 26, v = 4 n_start has 66 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(131,419) = 0.6597675599304992407 D2(131,419) = 0.09694637306850933820 C1(131,419) = 0.9805615414253711075 C2(131,419) = 1.805750709379546466 C3(131,419) = 4.727360157043619824 C4(131,419) = 3352 Sum = 4335.585217737717634 Averaged sum = 0.4331686699707980452 logp*logq = 29.43581214663848030 -------------- ************************************* p = 131; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6221470539361.221369 -------------- Searches starting with [131,421]-exponents: u = 26, v = 4 n_start has 66 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(131,421) = 0.7662586106630794800 D2(131,421) = 0.06478130185462799331 C1(131,421) = 1.037374395679365480 C2(131,421) = 1.774543615493382109 C3(131,421) = 5.172559452491086910 C4(131,421) = 3368 Sum = 4542.912588237923724 Averaged sum = 0.4538827643358900714 logp*logq = 29.45902741585573505 -------------- ************************************* p = 131; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6975840395043.642972 -------------- Searches starting with [131,431]-exponents: u = 51, v = 4 n_start has 119 digits starting right neighbors generation We generated 950 left neighbors We generated 9060 right neighbors We generated 10009 non-negative rho_i D1(131,431) = 0.8698735749005007370 D2(131,431) = 0.02427129288837854599 C1(131,431) = 1.140404985507070320 C2(131,431) = 1.620613930616727367 C3(131,431) = 6.089613551608478290 C4(131,431) = 3448 Sum = 4417.927943232322840 Averaged sum = 0.4413955383387274293 logp*logq = 29.57347392312264102 -------------- ************************************* p = 131; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7135078161189.671702 -------------- Searches starting with [131,433]-exponents: u = 61, v = 4 n_start has 140 digits starting right neighbors generation We generated 1318 left neighbors We generated 8692 right neighbors We generated 10009 non-negative rho_i D1(131,433) = 0.7390644247737592117 D2(131,433) = 0.02193186000179970898 C1(131,433) = 1.018516764673061566 C2(131,433) = 1.577035982779633503 C3(131,433) = 5.020322169584118987 C4(131,433) = 3464 Sum = 4855.274902791011032 Averaged sum = 0.4850909084614857659 logp*logq = 29.59604432141397891 -------------- ************************************* p = 131; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7630200598527.299893 -------------- Searches starting with [131,439]-exponents: u = 156, v = 4 n_start has 341 digits --- performed 5000 steps in the continued fraction search [131,439]-exponents: u = 74, v = 32 --- starting right neighbors generation We generated 8279 left neighbors We generated 1731 right neighbors We generated 10009 non-negative rho_i D1(131,439) = 0.7586693564682396549 D2(131,439) = 0.005315857296333783889 C1(131,439) = 0.9951897971755557849 C2(131,439) = 1.377322691297127363 C3(131,439) = 4.838188851627895571 C4(131,439) = 3512 Sum = 4971.031009517000782 Averaged sum = 0.4966561104522930145 logp*logq = 29.66313525164305302 -------------- ************************************* p = 131; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7975177581812.867076 -------------- Searches starting with [131,443]-exponents: u = 3566, v = 4 n_start has 7561 digits --- performed 5000 steps in the continued fraction search [131,443]-exponents: u = 3558, v = 9 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,443) = 0.7182902280679493111 D2(131,443) = 0.6091965141438277382 C1(131,443) = 0.8574002992385610450 C2(131,443) = 1.446240912777204968 C3(131,443) = 3.889418869095255713 C4(131,443) = 3544 Sum = 6525.619151430725194 Averaged sum = 0.6526271778608586052 logp*logq = 29.70735503166350182 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,443) = 0.7182902280679493111 D2(131,443) = 0.6091965141438277382 C1(131,443) = 0.8574002992385610450 C2(131,443) = 1.446240912777204968 C3(131,443) = 3.889418869095255713 C4(131,443) = 3544 Sum = 6525.619151430725194 Averaged sum = 0.6526271778608586052 logp*logq = 29.70735503166350182 -------------- ************************************* p = 131; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8515776646042.597013 -------------- Searches starting with [131,449]-exponents: u = 5, v = 91 n_start has 252 digits starting right neighbors generation We generated 4425 left neighbors We generated 5585 right neighbors We generated 10009 non-negative rho_i D1(131,449) = 0.6239312631808885970 D2(131,449) = 0.01230158993186654473 C1(131,449) = 0.8307489596268355048 C2(131,449) = 1.447215813870800562 C3(131,449) = 3.728625823594090574 C4(131,449) = 3592 Sum = 4788.988669827211521 Averaged sum = 0.4784682455617156080 logp*logq = 29.77294163504920473 -------------- ************************************* p = 131; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9281460879917.731559 -------------- Searches starting with [131,457]-exponents: u = 5, v = 39 n_start has 115 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(131,457) = 0.6948516738371272994 D2(131,457) = 0.02347659891234026915 C1(131,457) = 0.9776968762939777296 C2(131,457) = 1.651752585370522941 C3(131,457) = 4.705955577873268963 C4(131,457) = 3656 Sum = 3465.429881917748784 Averaged sum = 0.3462313799498200404 logp*logq = 29.85904007274197885 -------------- ************************************* p = 131; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9684286324670.119324 -------------- Searches starting with [131,461]-exponents: u = 5, v = 27 n_start has 83 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(131,461) = 1.130822632407984250 D2(131,461) = 0.02780301556739543942 C1(131,461) = 1.619801612558076170 C2(131,461) = 1.715333506230215858 C3(131,461) = 13.01400209865584463 C4(131,461) = 3688 Sum = 5592.062526468725253 Averaged sum = 0.5587034195692601911 logp*logq = 29.90152572134444224 -------------- ************************************* p = 131; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9890843089770.247016 -------------- Searches starting with [131,463]-exponents: u = 5, v = 27 n_start has 83 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(131,463) = 0.6357768683433886307 D2(131,463) = 0.05756018707678485311 C1(131,463) = 0.9214079800391627880 C2(131,463) = 1.745772162028620149 C3(131,463) = 4.304488003934010875 C4(131,463) = 3704 Sum = 4241.224604934154191 Averaged sum = 0.4237410935092570877 logp*logq = 29.92263050462049784 -------------- ************************************* p = 131; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10314460354447.65280 -------------- Searches starting with [131,467]-exponents: u = 5, v = 23 n_start has 72 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(131,467) = 0.8446600689787928235 D2(131,467) = 0.02203089137980754110 C1(131,467) = 1.242047122629249892 C2(131,467) = 1.787528774002324080 C3(131,467) = 7.153502453485580610 C4(131,467) = 3736 Sum = 2826.473119902346392 Averaged sum = 0.2823931581479015278 logp*logq = 29.96456794450032902 -------------- ************************************* p = 131; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11672517138804.31218 -------------- Searches starting with [131,479]-exponents: u = 5, v = 15 n_start has 51 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(131,479) = 0.7462735158146154854 D2(131,479) = 0.008389811092449558353 C1(131,479) = 0.9936453958883292477 C2(131,479) = 1.884871499446287752 C3(131,479) = 4.826366305590290520 C4(131,479) = 3832 Sum = 4575.100441464775125 Averaged sum = 0.4570986553566565216 logp*logq = 30.08825823209664179 -------------- ************************************* p = 131; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12654179706560.02589 -------------- Searches starting with [131,487]-exponents: u = 5, v = 11 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(131,487) = 0.8481441988688375449 D2(131,487) = 0.06576007771464612181 C1(131,487) = 1.232412381488427494 C2(131,487) = 1.945137886985728346 C3(131,487) = 7.045147720650204266 C4(131,487) = 3896 Sum = 3630.375640823186762 Averaged sum = 0.3627111240706550866 logp*logq = 30.16900868811396314 -------------- ************************************* p = 131; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13169014835317.60966 -------------- Searches starting with [131,491]-exponents: u = 5, v = 11 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(131,491) = 0.7564129678865964761 D2(131,491) = 0.09738720080330071886 C1(131,491) = 1.000330426931621668 C2(131,491) = 1.978194942486260063 C3(131,491) = 4.877749909940027952 C4(131,491) = 3928 Sum = 4337.531350642086873 Averaged sum = 0.4333631082667685956 logp*logq = 30.20888782518934093 -------------- ************************************* p = 131; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14248611910526.62189 -------------- Searches starting with [131,499]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(131,499) = 0.8450211373097336144 D2(131,499) = 0.1082131819151169344 C1(131,499) = 1.114377469367438798 C2(131,499) = 1.906266365717968175 C3(131,499) = 5.843633969773581800 C4(131,499) = 3992 Sum = 4507.278644903360975 Averaged sum = 0.4503225741735798756 logp*logq = 30.28768060811096078 -------------- ************************************* p = 131; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14814159258496.38269 -------------- Searches starting with [131,503]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(131,503) = 0.8093752960248398528 D2(131,503) = 0.09033330904897800706 C1(131,503) = 1.164459645643572301 C2(131,503) = 1.889932086521869491 C3(131,503) = 6.326145138836112215 C4(131,503) = 4024 Sum = 4091.512903641624995 Averaged sum = 0.4087833853173768603 logp*logq = 30.32660454600164454 -------------- ************************************* p = 131; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15695793889735.46926 -------------- Searches starting with [131,509]-exponents: u = 5, v = 7 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(131,509) = 0.6105728985259184155 D2(131,509) = 0.06056968690188197521 C1(131,509) = 0.9190555333399234224 C2(131,509) = 1.731532900566502055 C3(131,509) = 4.288476522539910054 C4(131,509) = 4072 Sum = 4417.596454098405366 Averaged sum = 0.4413624192325312584 logp*logq = 30.38441388727743471 -------------- ************************************* p = 131; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17584093979375.62357 -------------- Searches starting with [131,521]-exponents: u = 68, v = 7 n_start has 163 digits starting right neighbors generation We generated 1137 left neighbors We generated 8873 right neighbors We generated 10009 non-negative rho_i D1(131,521) = 0.8468210113209843513 D2(131,521) = 0.01602708770616802333 C1(131,521) = 1.116375704185778884 C2(131,521) = 1.429681511597441360 C3(131,521) = 5.862161447321276800 C4(131,521) = 4168 Sum = 4361.388824035118455 Averaged sum = 0.4357467103641840798 logp*logq = 30.49801585817150641 -------------- ************************************* p = 131; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17915632971123.74219 -------------- Searches starting with [131,523]-exponents: u = 104, v = 7 n_start has 240 digits starting right neighbors generation We generated 1927 left neighbors We generated 8083 right neighbors We generated 10009 non-negative rho_i D1(131,523) = 0.8326685196853940582 D2(131,523) = 0.009951691667936560464 C1(131,523) = 1.116684373193815498 C2(131,523) = 1.335729114865072279 C3(131,523) = 5.865028635442723662 C4(131,523) = 4184 Sum = 4263.123447327845667 Averaged sum = 0.4259290086250220468 logp*logq = 30.51669479796885730 -------------- ************************************* p = 131; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21128856358255.85121 -------------- Searches starting with [131,541]-exponents: u = 9, v = 24 n_start has 85 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(131,541) = 1.190213226009331267 D2(131,541) = 0.02895826969478931220 C1(131,541) = 1.632538275635147098 C2(131,541) = 1.635525341179989466 C3(131,541) = 13.27925153181627252 C4(131,541) = 4328 Sum = 5543.913230849571629 Averaged sum = 0.5538928195473645348 logp*logq = 30.68166082201488825 -------------- ************************************* p = 131; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22296078475774.04576 -------------- Searches starting with [131,547]-exponents: u = 9, v = 17 n_start has 66 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(131,547) = 0.6770118094985279696 D2(131,547) = 0.04533734928803260025 C1(131,547) = 0.9254190761137133963 C2(131,547) = 1.742854686181469719 C3(131,547) = 4.331926752527588843 C4(131,547) = 4376 Sum = 4123.479240773898085 Averaged sum = 0.4119771446472073219 logp*logq = 30.73543192582634830 -------------- ************************************* p = 131; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24354874578675.27558 -------------- Searches starting with [131,557]-exponents: u = 9, v = 10 n_start has 47 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(131,557) = 0.9791134873874648553 D2(131,557) = 0.07685097291724207514 C1(131,557) = 1.330127051332205945 C2(131,557) = 1.918041819896509765 C3(131,557) = 8.224642587975986201 C4(131,557) = 4456 Sum = 5049.793597576131360 Averaged sum = 0.5045252869993137537 logp*logq = 30.82375313345814154 -------------- ************************************* p = 131; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25660857445149.30427 -------------- Searches starting with [131,563]-exponents: u = 9, v = 10 n_start has 47 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(131,563) = 0.7433638752803716062 D2(131,563) = 0.08313963616933297656 C1(131,563) = 1.202605793823567698 C2(131,563) = 1.359198282131612593 C3(131,563) = 6.720218655839574872 C4(131,563) = 4504 Sum = 4322.098506692554154 Averaged sum = 0.4318212115788344644 logp*logq = 30.87598789019100300 -------------- ************************************* p = 131; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27021903969239.28470 -------------- Searches starting with [131,569]-exponents: u = 13, v = 3 n_start has 36 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(131,569) = 0.6657314397633501702 D2(131,569) = 0.08216743910636128821 C1(131,569) = 1.076899598228071620 C2(131,569) = 1.431048192636707213 C3(131,569) = 5.506790088446495533 C4(131,569) = 4552 Sum = 4499.944658702626006 Averaged sum = 0.4495898350187457295 logp*logq = 30.92766891116084770 -------------- ************************************* p = 131; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27488116068337.71632 -------------- Searches starting with [131,571]-exponents: u = 13, v = 3 n_start has 36 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(131,571) = 0.6462707360409252126 D2(131,571) = 0.07000578166134722941 C1(131,571) = 0.8880682966481996068 C2(131,571) = 2.045606326287785357 C3(131,571) = 4.083043997519966436 C4(131,571) = 4568 Sum = 4463.341952042079870 Averaged sum = 0.4459328556341372635 logp*logq = 30.94477488423085390 -------------- ************************************* p = 131; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28925237475431.38527 -------------- Searches starting with [131,577]-exponents: u = 13, v = 3 n_start has 36 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(131,577) = 0.7330547428167782918 D2(131,577) = 0.03154873609251968984 C1(131,577) = 1.074503928191183876 C2(131,577) = 2.009463771993919382 C3(131,577) = 5.485930732987325931 C4(131,577) = 4616 Sum = 3894.981054830182964 Averaged sum = 0.3891478723978602222 logp*logq = 30.99573559901542933 -------------- ************************************* p = 131; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31452636812229.25908 -------------- Searches starting with [131,587]-exponents: u = 13, v = 3 n_start has 36 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(131,587) = 1.312344957304168082 D2(131,587) = 0.1032291781386022728 C1(131,587) = 2.046137912663821341 C2(131,587) = 1.201155995723192077 C3(131,587) = 25.56977584312234965 C4(131,587) = 4696 Sum = 4363.481430838199475 Averaged sum = 0.4359557828792286417 logp*logq = 31.07950393696683921 -------------- ************************************* p = 131; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33051320700634.62695 -------------- Searches starting with [131,593]-exponents: u = 17, v = 3 n_start has 45 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(131,593) = 0.9271039820964321046 D2(131,593) = 0.1107276102579949246 C1(131,593) = 1.221004343499004585 C2(131,593) = 1.988266473527453537 C3(131,593) = 6.918970239291782880 C4(131,593) = 4744 Sum = 4344.859619608088814 Averaged sum = 0.4340952762122178852 logp*logq = 31.12908264211269672 -------------- ************************************* p = 131; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34713932119488.71075 -------------- Searches starting with [131,599]-exponents: u = 17, v = 3 n_start has 45 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(131,599) = 0.6589510957368951857 D2(131,599) = 0.05590014926961563981 C1(131,599) = 0.8762460924397843622 C2(131,599) = 1.935579546669573944 C3(131,599) = 4.007287258221907473 C4(131,599) = 4792 Sum = 4465.182302756917046 Averaged sum = 0.4461167252229910127 logp*logq = 31.17816222430355726 -------------- ************************************* p = 131; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35282665505653.24900 -------------- Searches starting with [131,601]-exponents: u = 17, v = 3 n_start has 45 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(131,601) = 1.387340347498166156 D2(131,601) = 0.03934245249231033517 C1(131,601) = 2.109220836686347096 C2(131,601) = 1.919730557309571203 C3(131,601) = 28.25709296212239391 C4(131,601) = 4808 Sum = 5143.110577410898525 Averaged sum = 0.5138485940064840169 logp*logq = 31.19441289709449149 -------------- ************************************* p = 131; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37033440134834.09340 -------------- Searches starting with [131,607]-exponents: u = 21, v = 3 n_start has 53 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(131,607) = 1.169219851646078781 D2(131,607) = 0.1305620263721986997 C1(131,607) = 1.532848205123994769 C2(131,607) = 1.935209846392523911 C3(131,607) = 11.33933553702609061 C4(131,607) = 4856 Sum = 4373.586229559600502 Averaged sum = 0.4369653541372365373 logp*logq = 31.24284240783077773 -------------- ************************************* p = 131; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38852578259432.89984 -------------- Searches starting with [131,613]-exponents: u = 25, v = 3 n_start has 62 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(131,613) = 0.5589004749234424962 D2(131,613) = 0.06077875138592396631 C1(131,613) = 0.7495364743144352437 C2(131,613) = 1.867449368114313001 C3(131,613) = 3.278500443574662648 C4(131,613) = 4904 Sum = 4414.981186339868129 Averaged sum = 0.4411011276191295962 logp*logq = 31.29079555500434833 -------------- ************************************* p = 131; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40104283591297.01541 -------------- Searches starting with [131,617]-exponents: u = 25, v = 3 n_start has 62 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(131,617) = 0.6835448603424640369 D2(131,617) = 0.02101553961262491303 C1(131,617) = 0.8881139840897099784 C2(131,617) = 1.829023640224183763 C3(131,617) = 4.083339523602387044 C4(131,617) = 4936 Sum = 4246.855737509259867 Averaged sum = 0.4243037004205474939 logp*logq = 31.32250426726154200 -------------- ************************************* p = 131; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40742040795931.75551 -------------- Searches starting with [131,619]-exponents: u = 29, v = 3 n_start has 70 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(131,619) = 0.6940970316078696335 D2(131,619) = 0.002615808632061309102 C1(131,619) = 0.9062944624006800246 C2(131,619) = 1.811289380113451926 C3(131,619) = 4.202652869029804727 C4(131,619) = 4952 Sum = 4202.588649692493481 Averaged sum = 0.4198809720943644201 logp*logq = 31.33828161864715124 -------------- ************************************* p = 131; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44739964696998.95904 -------------- Searches starting with [131,631]-exponents: u = 37, v = 3 n_start has 87 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(131,631) = 0.7719506784382426741 D2(131,631) = 0.03085895811357828058 C1(131,631) = 1.101261965966035593 C2(131,631) = 1.733950756368472365 C3(131,631) = 5.723473034158133161 C4(131,631) = 5048 Sum = 4452.312350067314572 Averaged sum = 0.4448308872082440375 logp*logq = 31.43188828292001389 -------------- ************************************* p = 131; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48304406685493.01807 -------------- Searches starting with [131,641]-exponents: u = 57, v = 3 n_start has 130 digits starting right neighbors generation We generated 856 left neighbors We generated 9154 right neighbors We generated 10009 non-negative rho_i D1(131,641) = 0.6605166416293120868 D2(131,641) = 0.04403492575884840998 C1(131,641) = 0.9193222705734132936 C2(131,641) = 1.644581692473949294 C3(131,641) = 4.290289020979614324 C4(131,641) = 5128 Sum = 3587.080170599055456 Averaged sum = 0.3583854701367824414 logp*logq = 31.50854390814984276 -------------- ************************************* p = 131; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49043631226593.10162 -------------- Searches starting with [131,643]-exponents: u = 61, v = 3 n_start has 138 digits starting right neighbors generation We generated 1049 left neighbors We generated 8961 right neighbors We generated 10009 non-negative rho_i D1(131,643) = 0.7349685069398979463 D2(131,643) = 0.008872026353212834435 C1(131,643) = 0.9757129794029051973 C2(131,643) = 1.609993491457625262 C3(131,643) = 4.691188864392367711 C4(131,643) = 5144 Sum = 4590.121782804435335 Averaged sum = 0.4585994387855365506 logp*logq = 31.52373145103449025 -------------- ************************************* p = 131; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50549053125813.62176 -------------- Searches starting with [131,647]-exponents: u = 77, v = 3 n_start has 172 digits starting right neighbors generation We generated 1677 left neighbors We generated 8333 right neighbors We generated 10009 non-negative rho_i D1(131,647) = 0.8656172192276019098 D2(131,647) = 0.006318212291857566815 C1(131,647) = 1.181302785926931006 C2(131,647) = 1.558591422381070053 C3(131,647) = 6.497212941556556781 C4(131,647) = 5176 Sum = 3966.024339549504059 Averaged sum = 0.3962458127234992566 logp*logq = 31.55396532978168251 -------------- ************************************* p = 131; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52875831068036.06347 -------------- Searches starting with [131,653]-exponents: u = 113, v = 3 n_start has 248 digits starting right neighbors generation We generated 3306 left neighbors We generated 6704 right neighbors We generated 10009 non-negative rho_i D1(131,653) = 0.6205211905693589207 D2(131,653) = 0.01376091406642294967 C1(131,653) = 0.8269420830240016984 C2(131,653) = 1.465496641943626180 C3(131,653) = 3.706207253317380227 C4(131,653) = 5224 Sum = 4739.587948964785399 Averaged sum = 0.4735326155424902986 logp*logq = 31.59896747077026089 -------------- ************************************* p = 131; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55286949445522.99868 -------------- Searches starting with [131,659]-exponents: u = 225, v = 3 n_start has 485 digits --- performed 5000 steps in the continued fraction search [131,659]-exponents: u = 92, v = 79 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,659) = 0.6207858650450019170 D2(131,659) = 0.06505316943530544972 C1(131,659) = 0.8023601386201205572 C2(131,659) = 1.348811548919938260 C3(131,659) = 3.564655098825682137 C4(131,659) = 5272 Sum = 5098.437777497698308 Averaged sum = 0.5098947672264924800 logp*logq = 31.64355800104534040 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,659) = 0.6207858650450019170 D2(131,659) = 0.06505316943530544972 C1(131,659) = 0.8023601386201205572 C2(131,659) = 1.348811548919938260 C3(131,659) = 3.564655098825682137 C4(131,659) = 5272 Sum = 5098.437777497698308 Averaged sum = 0.5098947672264924800 logp*logq = 31.64355800104534040 -------------- ************************************* p = 131; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56109785204637.85237 -------------- Searches starting with [131,661]-exponents: u = 329, v = 3 n_start has 706 digits --- performed 5000 steps in the continued fraction search [131,661]-exponents: u = 95, v = 163 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,661) = 0.5487107337106594132 D2(131,661) = 0.1849926778250866081 C1(131,661) = 0.6986826545656384527 C2(131,661) = 1.366471072581487605 C3(131,661) = 3.024741155590287905 C4(131,661) = 5288 Sum = 5329.667288797903890 Averaged sum = 0.5330200308828786768 logp*logq = 31.65833133757214031 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,661) = 0.5487107337106594132 D2(131,661) = 0.1849926778250866081 C1(131,661) = 0.6986826545656384527 C2(131,661) = 1.366471072581487605 C3(131,661) = 3.024741155590287905 C4(131,661) = 5288 Sum = 5329.667288797903890 Averaged sum = 0.5330200308828786768 logp*logq = 31.65833133757214031 -------------- ************************************* p = 131; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61253579254340.31702 -------------- Searches starting with [131,673]-exponents: u = 4, v = 140 n_start has 405 digits --- performed 5000 steps in the continued fraction search [131,673]-exponents: u = 87, v = 48 --- starting right neighbors generation We generated 8978 left neighbors We generated 1032 right neighbors We generated 10009 non-negative rho_i D1(131,673) = 0.5956867579898948577 D2(131,673) = 0.006727556182104198924 C1(131,673) = 0.7753543806057638048 C2(131,673) = 1.361304479276640383 C3(131,673) = 3.415370043515226095 C4(131,673) = 5384 Sum = 4981.332102471364865 Averaged sum = 0.4976852934830017849 logp*logq = 31.74604340045157716 -------------- ************************************* p = 131; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63049014212601.61764 -------------- Searches starting with [131,677]-exponents: u = 4, v = 92 n_start has 269 digits starting right neighbors generation We generated 3881 left neighbors We generated 6129 right neighbors We generated 10009 non-negative rho_i D1(131,677) = 0.5844615088392180898 D2(131,677) = 0.01470056020640861606 C1(131,677) = 0.7768665289631882135 C2(131,677) = 1.454048962549613829 C3(131,677) = 3.423561321149536470 C4(131,677) = 5416 Sum = 4506.386563079390200 Averaged sum = 0.4502334462063533020 logp*logq = 31.77493354320696510 -------------- ************************************* p = 131; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65820356075437.25798 -------------- Searches starting with [131,683]-exponents: u = 4, v = 59 n_start has 176 digits starting right neighbors generation We generated 1565 left neighbors We generated 8445 right neighbors We generated 10009 non-negative rho_i D1(131,683) = 1.106459102166317844 D2(131,683) = 0.02389659705048317390 C1(131,683) = 1.503126248328101891 C2(131,683) = 1.555403579274843961 C3(131,683) = 10.81780458750213648 C4(131,683) = 5464 Sum = 5818.969333704071709 Averaged sum = 0.5813736970430684092 logp*logq = 31.81795026926559117 -------------- ************************************* p = 131; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69665181968902.21743 -------------- Searches starting with [131,691]-exponents: u = 4, v = 41 n_start has 125 digits starting right neighbors generation We generated 817 left neighbors We generated 9193 right neighbors We generated 10009 non-negative rho_i D1(131,691) = 0.5583112625546087127 D2(131,691) = 0.02056196947794150653 C1(131,691) = 0.7752202930122168244 C2(131,691) = 1.650605703499804980 C3(131,691) = 3.414644640362244039 C4(131,691) = 5528 Sum = 4516.158793229062644 Averaged sum = 0.4512097905114459630 logp*logq = 31.87472176754699298 -------------- ************************************* p = 131; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74720000095367.50533 -------------- Searches starting with [131,701]-exponents: u = 4, v = 29 n_start has 91 digits starting right neighbors generation We generated 395 left neighbors We generated 9615 right neighbors We generated 10009 non-negative rho_i D1(131,701) = 0.6394287425381934655 D2(131,701) = 0.04743211351645408544 C1(131,701) = 0.8492252719120953446 C2(131,701) = 1.750817971748653419 C3(131,701) = 3.839373489297431814 C4(131,701) = 5608 Sum = 4400.224578312533673 Averaged sum = 0.4396267937169081500 logp*logq = 31.94476891112546710 -------------- ************************************* p = 131; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78970137675665.84720 -------------- Searches starting with [131,709]-exponents: u = 4, v = 23 n_start has 75 digits starting right neighbors generation We generated 238 left neighbors We generated 9772 right neighbors We generated 10009 non-negative rho_i D1(131,709) = 0.6906052068018103182 D2(131,709) = 0.06573319483957828063 C1(131,709) = 0.9983189738267593682 C2(131,709) = 1.816484032616672627 C3(131,709) = 4.862231868926027042 C4(131,709) = 5672 Sum = 4112.250397549252102 Averaged sum = 0.4108552700119144872 logp*logq = 32.00009089282851314 -------------- ************************************* p = 131; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84550667294636.81339 -------------- Searches starting with [131,719]-exponents: u = 4, v = 20 n_start has 66 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(131,719) = 0.7132834867632190218 D2(131,719) = 0.07045092745007841633 C1(131,719) = 0.9676261116938279020 C2(131,719) = 1.879173145317188440 C3(131,719) = 4.631473845024685072 C4(131,719) = 5752 Sum = 4244.761326930327146 Averaged sum = 0.4240944476901116141 logp*logq = 32.06837208354993917 -------------- ************************************* p = 131; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89236987357331.93929 -------------- Searches starting with [131,727]-exponents: u = 4, v = 17 n_start has 58 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(131,727) = 0.6327341610045303458 D2(131,727) = 0.01925452945531696045 C1(131,727) = 0.8889577348968162630 C2(131,727) = 1.900417891365774703 C3(131,727) = 4.088801114614879654 C4(131,727) = 5816 Sum = 4062.510895498014060 Averaged sum = 0.4058857923366983774 logp*logq = 32.12231672604060599 -------------- ************************************* p = 131; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92885351276303.22807 -------------- Searches starting with [131,733]-exponents: u = 4, v = 14 n_start has 49 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(131,733) = 0.8069494755164076498 D2(131,733) = 0.06254778603466446529 C1(131,733) = 1.214648377596834572 C2(131,733) = 1.945059781250311954 C3(131,733) = 6.849653578915792287 C4(131,733) = 5864 Sum = 3831.725920612335425 Averaged sum = 0.3828280468190963558 logp*logq = 32.16238706660578545 -------------- ************************************* p = 131; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96651297203437.68054 -------------- Searches starting with [131,739]-exponents: u = 4, v = 14 n_start has 49 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(131,739) = 0.9623999282211715802 D2(131,739) = 0.1109913717567522364 C1(131,739) = 1.370300086438156239 C2(131,739) = 1.994840847681730884 C3(131,739) = 8.765077672144300270 C4(131,739) = 5912 Sum = 4228.950137059074254 Averaged sum = 0.4225147504305199575 logp*logq = 32.20213074315280479 -------------- ************************************* p = 131; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99228626452938.24246 -------------- Searches starting with [131,743]-exponents: u = 4, v = 14 n_start has 49 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(131,743) = 0.6995270230618773763 D2(131,743) = 0.1471983162643030421 C1(131,743) = 0.9524152930554892835 C2(131,743) = 2.031933340048639879 C3(131,743) = 4.521205958444411732 C4(131,743) = 5944 Sum = 4057.795564591113643 Averaged sum = 0.4054146832441915918 logp*logq = 32.22844766170445949 -------------- ************************************* p = 131; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104547131972121.9122 -------------- Searches starting with [131,751]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(131,751) = 0.7762335747528891426 D2(131,751) = 0.01727568525662062092 C1(131,751) = 1.048838833700875998 C2(131,751) = 1.998132027561978503 C3(131,751) = 5.267359194336021397 C4(131,751) = 6008 Sum = 4234.892947704777817 Averaged sum = 0.4231084971230670214 logp*logq = 32.28065910930948590 -------------- ************************************* p = 131; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108682726511056.1564 -------------- Searches starting with [131,757]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(131,757) = 0.7391317264840964268 D2(131,757) = 0.04850319027153589635 C1(131,757) = 1.071187586608315431 C2(131,757) = 2.030727174381526853 C3(131,757) = 5.457185325508177017 C4(131,757) = 6056 Sum = 3606.203988732177736 Averaged sum = 0.3602961323540990844 logp*logq = 32.31945398768632748 -------------- ************************************* p = 131; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111511270971743.9241 -------------- Searches starting with [131,761]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(131,761) = 0.5943685055411037787 D2(131,761) = 0.07055351270217887883 C1(131,761) = 0.8363153172793103928 C2(131,761) = 2.053683152175677677 C3(131,761) = 3.761650253186028645 C4(131,761) = 6088 Sum = 4277.559404791400051 Averaged sum = 0.4273713063034668849 logp*logq = 32.34514678666835854 -------------- ************************************* p = 131; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117343859086908.1670 -------------- Searches starting with [131,769]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(131,769) = 0.7985681058205711918 D2(131,769) = 0.08769300094226279479 C1(131,769) = 1.265791478945673973 C2(131,769) = 1.345011065660586859 C3(131,769) = 7.427705264211599656 C4(131,769) = 6152 Sum = 4249.900942949752103 Averaged sum = 0.4246079471425469181 logp*logq = 32.39612970696206045 -------------- ************************************* p = 131; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120349679394823.3479 -------------- Searches starting with [131,773]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(131,773) = 0.8721239738558947782 D2(131,773) = 0.08881905137857624191 C1(131,773) = 1.119564707047322627 C2(131,773) = 1.308273219699578715 C3(131,773) = 5.891851389549384471 C4(131,773) = 6184 Sum = 4213.331886454991875 Averaged sum = 0.4209543297487253347 logp*logq = 32.42142261621410038 -------------- ************************************* p = 131; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131355500412009.6540 -------------- Searches starting with [131,787]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(131,787) = 0.6861023051993695323 D2(131,787) = 0.08913413499603600772 C1(131,787) = 0.9135291913697628120 C2(131,787) = 1.932951167328362992 C3(131,787) = 4.251096432645501314 C4(131,787) = 6296 Sum = 4419.147216409969880 Averaged sum = 0.4415173560205784673 logp*logq = 32.50892850717882761 -------------- ************************************* p = 131; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139695315175138.9259 -------------- Searches starting with [131,797]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(131,797) = 1.378570882234737677 D2(131,797) = 0.06103313607096254846 C1(131,797) = 1.983369357708124160 C2(131,797) = 1.682137391612056075 C3(131,797) = 23.14955487365550397 C4(131,797) = 6376 Sum = 4288.293115098986785 Averaged sum = 0.4284437121689466265 logp*logq = 32.57048484673394548 -------------- ************************************* p = 131; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150252895013767.8155 -------------- Searches starting with [131,809]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(131,809) = 0.6958096460672383690 D2(131,809) = 0.02275223009829143159 C1(131,809) = 1.155711192876952593 C2(131,809) = 2.153194920539230768 C3(131,809) = 6.239076120664734987 C4(131,809) = 6472 Sum = 4458.897035151568233 Averaged sum = 0.4454887636278917208 logp*logq = 32.64334095713672801 -------------- ************************************* p = 131; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152072498595458.6357 -------------- Searches starting with [131,811]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(131,811) = 0.7969684872102908599 D2(131,811) = 0.02908246727229608698 C1(131,811) = 1.323650846840998931 C2(131,811) = 2.159979231064503251 C3(131,811) = 8.140694481344652991 C4(131,811) = 6488 Sum = 4204.913615352265802 Averaged sum = 0.4201132596015851536 logp*logq = 32.65537848750724717 -------------- ************************************* p = 131; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161435096810401.4622 -------------- Searches starting with [131,821]-exponents: u = 11, v = 5 n_start has 38 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(131,821) = 0.8853585692323445008 D2(131,821) = 0.02979721306226136473 C1(131,821) = 1.179877844328719571 C2(131,821) = 2.061981473200330413 C3(131,821) = 6.482563087920630587 C4(131,821) = 6568 Sum = 4256.287930434509554 Averaged sum = 0.4252460715790298285 logp*logq = 32.71512430048194615 -------------- ************************************* p = 131; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 163361409796760.4083 -------------- Searches starting with [131,823]-exponents: u = 11, v = 5 n_start has 38 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(131,823) = 0.6359165464401552914 D2(131,823) = 0.02620406291074630338 C1(131,823) = 1.056032444154934193 C2(131,823) = 2.058890339241950030 C3(131,823) = 5.327728471730383221 C4(131,823) = 6584 Sum = 4010.034309593852146 Averaged sum = 0.4006428523922322056 logp*logq = 32.72698610030742304 -------------- ************************************* p = 131; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167268842113422.8546 -------------- Searches starting with [131,827]-exponents: u = 11, v = 5 n_start has 38 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(131,827) = 0.5647100272803641389 D2(131,827) = 0.01913106320927658511 C1(131,827) = 0.7814685044683628549 C2(131,827) = 2.052817656495348051 C3(131,827) = 3.448611200556485395 C4(131,827) = 6616 Sum = 4394.044869585334714 Averaged sum = 0.4390093785178673908 logp*logq = 32.75062346696762811 -------------- ************************************* p = 131; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169250217303106.1094 -------------- Searches starting with [131,829]-exponents: u = 11, v = 5 n_start has 38 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(131,829) = 0.7849820480134708888 D2(131,829) = 0.01564938645088710859 C1(131,829) = 1.101256911849176932 C2(131,829) = 2.049834292586785580 C3(131,829) = 5.723427209167605319 C4(131,829) = 6632 Sum = 4504.634145502653101 Averaged sum = 0.4500583620244433111 logp*logq = 32.76239931163801743 -------------- ************************************* p = 131; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179438853248301.8021 -------------- Searches starting with [131,839]-exponents: u = 11, v = 5 n_start has 38 digits **************************************************** Computing .... elapsed time = 18 minutes **************************************************** starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(131,839) = 1.100200963081275788 D2(131,839) = 0.1004180497568153613 C1(131,839) = 1.617800490315791300 C2(131,839) = 1.791179003805598290 C3(131,839) = 12.97281174721729814 C4(131,839) = 6712 Sum = 3673.899913043817935 Averaged sum = 0.3670596376305143306 logp*logq = 32.82085561539505692 -------------- ************************************* p = 131; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 194515794405479.5971 -------------- Searches starting with [131,853]-exponents: u = 11, v = 5 n_start has 38 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(131,853) = 0.8757587102072271481 D2(131,853) = 0.1110552493141804648 C1(131,853) = 1.355783494094141958 C2(131,853) = 1.297029332482145570 C3(131,853) = 8.565810585698738709 C4(131,853) = 6824 Sum = 3779.244173495259248 Averaged sum = 0.3775845912174302375 logp*logq = 32.90153448085964881 -------------- ************************************* p = 131; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199003288004665.3034 -------------- Searches starting with [131,857]-exponents: u = 18, v = 5 n_start has 53 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(131,857) = 0.7084776117052976543 D2(131,857) = 0.1252175171258844213 C1(131,857) = 1.096781400427579514 C2(131,857) = 1.443595565978849490 C3(131,857) = 5.682992028587657529 C4(131,857) = 6856 Sum = 4324.524639657533971 Averaged sum = 0.4320636067197056620 logp*logq = 32.92434246315305241 -------------- ************************************* p = 131; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 201277680298110.1716 -------------- Searches starting with [131,859]-exponents: u = 18, v = 5 n_start has 53 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(131,859) = 0.7521531729917972425 D2(131,859) = 0.1389774157755493727 C1(131,859) = 1.012613650716728337 C2(131,859) = 2.018975879259808969 C3(131,859) = 4.973593556453752331 C4(131,859) = 6872 Sum = 4648.199295734223383 Averaged sum = 0.4644019678024001782 logp*logq = 32.93570656462317099 -------------- ************************************* p = 131; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 205888444338605.1919 -------------- Searches starting with [131,863]-exponents: u = 18, v = 5 n_start has 53 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(131,863) = 0.7294592422769591030 D2(131,863) = 0.1166470083426308810 C1(131,863) = 0.9782713258335401538 C2(131,863) = 1.997566352084698210 C3(131,863) = 4.710240042233891228 C4(131,863) = 6904 Sum = 4401.078464419185600 Averaged sum = 0.4397121055469263263 logp*logq = 32.95835560569966774 -------------- ************************************* p = 131; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 222691550849879.1806 -------------- Searches starting with [131,877]-exponents: u = 25, v = 5 n_start has 68 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(131,877) = 0.9755924644087137130 D2(131,877) = 0.04886527152430202509 C1(131,877) = 1.288796251553504311 C2(131,877) = 1.932973993417974723 C3(131,877) = 7.703387888400195258 C4(131,877) = 7016 Sum = 4469.137957688736794 Averaged sum = 0.4465119350273490652 logp*logq = 33.03680874986675302 -------------- ************************************* p = 131; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 227687225805099.5824 -------------- Searches starting with [131,881]-exponents: u = 25, v = 5 n_start has 68 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(131,881) = 0.6789345748629932409 D2(131,881) = 0.03175816435446825277 C1(131,881) = 0.8927412864911384530 C2(131,881) = 1.916768669855722564 C3(131,881) = 4.113381971951127059 C4(131,881) = 7048 Sum = 4219.941537591209626 Averaged sum = 0.4216147005286451819 logp*logq = 33.05899398643681792 -------------- ************************************* p = 131; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 230218243651844.9066 -------------- Searches starting with [131,883]-exponents: u = 32, v = 5 n_start has 83 digits starting right neighbors generation We generated 477 left neighbors We generated 9533 right neighbors We generated 10009 non-negative rho_i D1(131,883) = 0.9076802270412219806 D2(131,883) = 0.02350393930905804512 C1(131,883) = 1.322573708662325819 C2(131,883) = 1.908963782782809214 C3(131,883) = 8.126815371940232744 C4(131,883) = 7064 Sum = 2999.027083098966625 Averaged sum = 0.2996330385751790014 logp*logq = 33.07004886038734018 -------------- ************************************* p = 131; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 235347365103066.9402 -------------- Searches starting with [131,887]-exponents: u = 32, v = 5 n_start has 83 digits starting right neighbors generation We generated 477 left neighbors We generated 9533 right neighbors We generated 10009 non-negative rho_i D1(131,887) = 0.5453829565811520393 D2(131,887) = 0.007536998695748115799 C1(131,887) = 0.7291907944156540198 C2(131,887) = 1.893892434011203728 C3(131,887) = 3.174516419567560406 C4(131,887) = 7096 Sum = 4378.208044499714218 Averaged sum = 0.4374271200419336815 logp*logq = 33.09208368806002979 -------------- ************************************* p = 131; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 262372992668516.2504 -------------- Searches starting with [131,907]-exponents: u = 88, v = 5 n_start has 202 digits starting right neighbors generation We generated 2798 left neighbors We generated 7212 right neighbors We generated 10009 non-negative rho_i D1(131,907) = 0.6308306927745620979 D2(131,907) = 0.02557659433901470235 C1(131,907) = 0.8540296964842160231 C2(131,907) = 1.684411321839152738 C3(131,907) = 3.868706368586690856 C4(131,907) = 7256 Sum = 4063.237269358132882 Averaged sum = 0.4059583644078462266 logp*logq = 33.20078824341984568 -------------- ************************************* p = 131; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 268062503580114.4367 -------------- Searches starting with [131,911]-exponents: u = 123, v = 5 n_start has 276 digits starting right neighbors generation We generated 5436 left neighbors We generated 4574 right neighbors We generated 10009 non-negative rho_i D1(131,911) = 0.5818060570547450031 D2(131,911) = 0.006833309858678499926 C1(131,911) = 0.7711588291150424857 C2(131,911) = 1.621590824869091365 C3(131,911) = 3.392745305000875474 C4(131,911) = 7288 Sum = 4629.421342177638483 Averaged sum = 0.4625258609429152246 logp*logq = 33.22224129156116867 -------------- ************************************* p = 131; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 279735670459565.0473 -------------- Searches starting with [131,919]-exponents: u = 683, v = 5 n_start has 1461 digits --- performed 5000 steps in the continued fraction search [131,919]-exponents: u = 376, v = 217 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,919) = 0.6850501650472226327 D2(131,919) = 0.4165995877878383842 C1(131,919) = 0.8513307628669578152 C2(131,919) = 1.516136884079495697 C3(131,919) = 3.852200853510675004 C4(131,919) = 7352 Sum = 5676.739076399751295 Averaged sum = 0.5677306807080459341 logp*logq = 33.26486623914401050 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(131,919) = 0.6850501650472226327 D2(131,919) = 0.4165995877878383842 C1(131,919) = 0.8513307628669578152 C2(131,919) = 1.516136884079495697 C3(131,919) = 3.852200853510675004 C4(131,919) = 7352 Sum = 5676.739076399751295 Averaged sum = 0.5677306807080459341 logp*logq = 33.26486623914401050 -------------- ************************************* p = 131; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294891506465905.2240 -------------- Searches starting with [131,929]-exponents: u = 7, v = 107 n_start has 333 digits --- performed 5000 steps in the continued fraction search [131,929]-exponents: u = 49, v = 36 --- starting right neighbors generation We generated 8008 left neighbors We generated 2002 right neighbors We generated 10009 non-negative rho_i D1(131,929) = 0.6396408997034600266 D2(131,929) = 0.0002661397357211335883 C1(131,929) = 0.8400452981036124458 C2(131,929) = 1.586932327237323351 C3(131,929) = 3.783943223911241792 C4(131,929) = 7432 Sum = 4744.528293656219695 Averaged sum = 0.4740262057804195919 logp*logq = 33.31762862993082326 -------------- ************************************* p = 131; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307480018655595.0602 -------------- Searches starting with [131,937]-exponents: u = 7, v = 52 n_start has 170 digits starting right neighbors generation We generated 2033 left neighbors We generated 7977 right neighbors We generated 10009 non-negative rho_i D1(131,937) = 0.6799165679716654629 D2(131,937) = 0.005483033865031464083 C1(131,937) = 0.9257153991043680104 C2(131,937) = 1.736929789797848611 C3(131,937) = 4.333960736811736725 C4(131,937) = 7496 Sum = 4621.578185803065189 Averaged sum = 0.4617422505548071924 logp*logq = 33.35943122108202561 -------------- ************************************* p = 131; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 313932423288142.1457 -------------- Searches starting with [131,941]-exponents: u = 7, v = 42 n_start has 140 digits starting right neighbors generation We generated 1292 left neighbors We generated 8718 right neighbors We generated 10009 non-negative rho_i D1(131,941) = 0.5954620666026052973 D2(131,941) = 0.03513637612201510026 C1(131,941) = 0.7908334839602579858 C2(131,941) = 1.767235988484464931 C3(131,941) = 3.500154921424778243 C4(131,941) = 7528 Sum = 4437.734677409122183 Averaged sum = 0.4433744307532343074 logp*logq = 33.38019886621713131 -------------- ************************************* p = 131; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 323812381385590.0933 -------------- Searches starting with [131,947]-exponents: u = 7, v = 32 n_start has 111 digits starting right neighbors generation We generated 822 left neighbors We generated 9188 right neighbors We generated 10009 non-negative rho_i D1(131,947) = 0.6650533730785363658 D2(131,947) = 0.02267872992559365710 C1(131,947) = 0.8953541241880028949 C2(131,947) = 1.833204435688027968 C3(131,947) = 4.130443180506019256 C4(131,947) = 7576 Sum = 4460.466981231497315 Averaged sum = 0.4456456170677887217 logp*logq = 33.41118539419764789 -------------- ************************************* p = 131; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 333937917702360.8519 -------------- Searches starting with [131,953]-exponents: u = 7, v = 27 n_start has 96 digits starting right neighbors generation We generated 574 left neighbors We generated 9436 right neighbors We generated 10009 non-negative rho_i D1(131,953) = 0.5873349927477421477 D2(131,953) = 0.05671482632978484524 C1(131,953) = 0.7708929405519020623 C2(131,953) = 1.868253627118996577 C3(131,953) = 3.391316547063556738 C4(131,953) = 7624 Sum = 4222.464181965534972 Averaged sum = 0.4218667381322344862 logp*logq = 33.44197621648569119 -------------- ************************************* p = 131; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 358544574437405.9997 -------------- Searches starting with [131,967]-exponents: u = 7, v = 17 n_start has 66 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(131,967) = 0.6221460891672204541 D2(131,967) = 0.02687314329039990650 C1(131,967) = 0.8213029145955593674 C2(131,967) = 1.951271233822916427 C3(131,967) = 3.673245859952784706 C4(131,967) = 7736 Sum = 4197.821120482077640 Averaged sum = 0.4194046478651291477 logp*logq = 33.51307410418728381 -------------- ************************************* p = 131; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365833265327751.8484 -------------- Searches starting with [131,971]-exponents: u = 7, v = 17 n_start has 66 digits starting right neighbors generation We generated 279 left neighbors We generated 9731 right neighbors We generated 10009 non-negative rho_i D1(131,971) = 0.5756832247545223423 D2(131,971) = 0.04034161648144256850 C1(131,971) = 0.7724553439175445015 C2(131,971) = 1.965447808208367978 C3(131,971) = 3.399720783626949037 C4(131,971) = 7768 Sum = 4338.818341990100996 Averaged sum = 0.4334916916765012484 logp*logq = 33.53319878631749758 -------------- ************************************* p = 131; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 376986652278524.6012 -------------- Searches starting with [131,977]-exponents: u = 7, v = 12 n_start has 51 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(131,977) = 0.7225154140531330725 D2(131,977) = 0.06134047295799056531 C1(131,977) = 1.082666782978660463 C2(131,977) = 1.987503264969919058 C3(131,977) = 5.557331455885132579 C4(131,977) = 7816 Sum = 4070.008860986161547 Averaged sum = 0.4066349146754082872 logp*logq = 33.56323089765303202 -------------- ************************************* p = 131; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 388408655754038.5372 -------------- Searches starting with [131,983]-exponents: u = 7, v = 12 n_start has 51 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(131,983) = 0.5899551127463577954 D2(131,983) = 0.08343553907301581078 C1(131,983) = 0.7903616399531146291 C2(131,983) = 2.010648342814070302 C3(131,983) = 3.497539614820344223 C4(131,983) = 7864 Sum = 4233.141991781547463 Averaged sum = 0.4229335589750771768 logp*logq = 33.59307913776690841 -------------- ************************************* p = 131; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 404064094595279.8023 -------------- Searches starting with [131,991]-exponents: u = 7, v = 12 n_start has 51 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(131,991) = 0.8189726802970928193 D2(131,991) = 0.1149440576290718743 C1(131,991) = 1.119469339145021007 C2(131,991) = 2.043546767963832883 C3(131,991) = 5.890961327240375071 C4(131,991) = 7928 Sum = 4801.660116097286853 Averaged sum = 0.4797342507840230645 logp*logq = 33.63259463129443613 -------------- ************************************* p = 131; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 416131516262795.7259 -------------- Searches starting with [131,997]-exponents: u = 7, v = 12 n_start has 51 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(131,997) = 0.8684929056786669126 D2(131,997) = 0.09729318377856453854 C1(131,997) = 1.354145468263619153 C2(131,997) = 1.315341627066265285 C3(131,997) = 8.543612012451164950 C4(131,997) = 7976 Sum = 3844.052564083922807 Averaged sum = 0.3840596027659029680 logp*logq = 33.66202247108904432 -------------- ************************************* p = 137; q = 139; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34961651628.60945463 -------------- Searches starting with [137,139]-exponents: u = 1, v = 339 n_start has 729 digits --- performed 5000 steps in the continued fraction search [137,139]-exponents: u = 20, v = 305 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,139) = 0.6709380332945893208 D2(137,139) = 0.08584121446365670357 C1(137,139) = 0.8543347420711999106 C2(137,139) = 1.042351402659701223 C3(137,139) = 3.900932083313034867 C4(137,139) = 1112 Sum = 5717.100640610833392 Averaged sum = 0.5717672407851618553 logp*logq = 24.27751762999908978 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,139) = 0.6709380332945893208 D2(137,139) = 0.08584121446365670357 C1(137,139) = 0.8543347420711999106 C2(137,139) = 1.042351402659701223 C3(137,139) = 3.900932083313034867 C4(137,139) = 1112 Sum = 5717.100640610833392 Averaged sum = 0.5717672407851618553 logp*logq = 24.27751762999908978 -------------- ************************************* p = 137; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49207917835.86127300 -------------- Searches starting with [137,149]-exponents: u = 1, v = 58 n_start has 129 digits starting right neighbors generation We generated 503 left neighbors We generated 9507 right neighbors We generated 10009 non-negative rho_i D1(137,149) = 0.6475387369029413301 D2(137,149) = 0.02057928070651248608 C1(137,149) = 0.8634219189814418965 C2(137,149) = 1.298695620087770988 C3(137,149) = 3.957823138271853938 C4(137,149) = 1192 Sum = 4920.628128114356009 Averaged sum = 0.4916203544923924476 logp*logq = 24.61932037911976567 -------------- ************************************* p = 137; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52544228351.20836650 -------------- Searches starting with [137,151]-exponents: u = 1, v = 50 n_start has 112 digits starting right neighbors generation We generated 387 left neighbors We generated 9623 right neighbors We generated 10009 non-negative rho_i D1(137,151) = 0.6991191006209908253 D2(137,151) = 0.02070703737858317109 C1(137,151) = 0.9394601813386340862 C2(137,151) = 1.335626325716913251 C3(137,151) = 4.467577336569338106 C4(137,151) = 1208 Sum = 4918.502475182940424 Averaged sum = 0.4914079803359916499 logp*logq = 24.68492109667147489 -------------- ************************************* p = 137; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63647947744.64231329 -------------- Searches starting with [137,157]-exponents: u = 1, v = 36 n_start has 82 digits starting right neighbors generation We generated 212 left neighbors We generated 9798 right neighbors We generated 10009 non-negative rho_i D1(137,157) = 0.8128441578218910373 D2(137,157) = 0.05661044390718422489 C1(137,157) = 1.171516626522206063 C2(137,157) = 1.459516864507002555 C3(137,157) = 6.466163032820702547 C4(137,157) = 1256 Sum = 3047.387506039172936 Averaged sum = 0.3044647323448069673 logp*logq = 24.87663291861214175 -------------- ************************************* p = 137; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76545703357.78393550 -------------- Searches starting with [137,163]-exponents: u = 1, v = 28 n_start has 65 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(137,163) = 0.7505545391479661778 D2(137,163) = 0.05166918401252291730 C1(137,163) = 1.017646806176534031 C2(137,163) = 1.531626744900700928 C3(137,163) = 5.060277845831907087 C4(137,163) = 1304 Sum = 4630.437420349041872 Averaged sum = 0.4626273773952484636 logp*logq = 25.06115382890245175 -------------- ************************************* p = 137; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86242758990.20387985 -------------- Searches starting with [137,167]-exponents: u = 1, v = 24 n_start has 56 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(137,167) = 0.7173264708160362384 D2(137,167) = 0.05888982501576393785 C1(137,167) = 1.068120129256562186 C2(137,167) = 1.582541919324029959 C3(137,167) = 5.484032963781219873 C4(137,167) = 1336 Sum = 4525.978086593544749 Averaged sum = 0.4521908369061389498 logp*logq = 25.18043193559680147 -------------- ************************************* p = 137; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102599238759.7022760 -------------- Searches starting with [137,173]-exponents: u = 1, v = 21 n_start has 50 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(137,173) = 0.8281509469114121613 D2(137,173) = 0.1016400759086526814 C1(137,173) = 1.255054643122023815 C2(137,173) = 1.679435751868132606 C3(137,173) = 7.386724506254266296 C4(137,173) = 1384 Sum = 3877.657146017438313 Averaged sum = 0.3874170392664040676 logp*logq = 25.35409635015947654 -------------- ************************************* p = 137; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121337192247.6378579 -------------- Searches starting with [137,179]-exponents: u = 1, v = 18 n_start has 43 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(137,179) = 1.071849713211510328 D2(137,179) = 0.02401133777641554830 C1(137,179) = 1.445159228081291402 C2(137,179) = 1.668529480481337108 C3(137,179) = 9.999938303668588293 C4(137,179) = 1432 Sum = 5151.937069078689947 Averaged sum = 0.5147304495033160102 logp*logq = 25.52183921964807160 -------------- ************************************* p = 137; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128154991161.0763133 -------------- Searches starting with [137,181]-exponents: u = 1, v = 17 n_start has 41 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(137,181) = 1.168052444391117057 D2(137,181) = 0.1193546181373638393 C1(137,181) = 1.630388045928407184 C2(137,181) = 1.765590145037876721 C3(137,181) = 13.43287231622965607 C4(137,181) = 1448 Sum = 5793.306673301066460 Averaged sum = 0.5788097385653977879 logp*logq = 25.57650623680199619 -------------- ************************************* p = 137; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166970849999.0208503 -------------- Searches starting with [137,191]-exponents: u = 1, v = 14 n_start has 35 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(137,191) = 0.7671693089864310716 D2(137,191) = 0.04628149860548164847 C1(137,191) = 1.046916740618102460 C2(137,191) = 1.782169594352075663 C3(137,191) = 5.301857945023417918 C4(137,191) = 1528 Sum = 4442.859251731438659 Averaged sum = 0.4438864273884942211 logp*logq = 25.84108508322331747 -------------- ************************************* p = 137; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175751226795.1109733 -------------- Searches starting with [137,193]-exponents: u = 1, v = 14 n_start has 35 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(137,193) = 0.6900561451906889509 D2(137,193) = 0.1242119163786339576 C1(137,193) = 0.9772335807021841601 C2(137,193) = 1.861751238301616542 C3(137,193) = 4.744712365664570780 C4(137,193) = 1544 Sum = 4373.553890144757828 Averaged sum = 0.4369621231036824685 logp*logq = 25.89233534795484842 -------------- ************************************* p = 137; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 194415133400.8280809 -------------- Searches starting with [137,197]-exponents: u = 1, v = 13 n_start has 32 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(137,197) = 1.170490384211360617 D2(137,197) = 0.06838024396539146723 C1(137,197) = 1.537955193120595965 C2(137,197) = 1.842751353972273162 C3(137,197) = 11.59334430085546258 C4(137,197) = 1576 Sum = 4566.765425151718061 Averaged sum = 0.4562659032022897453 logp*logq = 25.99326157265493042 -------------- ************************************* p = 137; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204321132550.5024211 -------------- Searches starting with [137,199]-exponents: u = 1, v = 13 n_start has 33 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(137,199) = 0.6626761384374697520 D2(137,199) = 0.1318978053997352464 C1(137,199) = 0.8717603130570770277 C2(137,199) = 1.358426541385882474 C3(137,199) = 4.010756045796742607 C4(137,199) = 1592 Sum = 4654.810001801666002 Averaged sum = 0.4650624439805840746 logp*logq = 26.04295877223848857 -------------- ************************************* p = 137; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 272536921725.0354176 -------------- Searches starting with [137,211]-exponents: u = 1, v = 11 n_start has 28 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(137,211) = 0.7097948874102348026 D2(137,211) = 0.04854062203944820076 C1(137,211) = 0.9838154042446841089 C2(137,211) = 1.915687782632544070 C3(137,211) = 4.794731264865441754 C4(137,211) = 1688 Sum = 4616.274311893717163 Averaged sum = 0.4612123400832967492 logp*logq = 26.33103993444035817 -------------- ************************************* p = 137; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 357779237553.9497256 -------------- Searches starting with [137,223]-exponents: u = 1, v = 10 n_start has 26 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(137,223) = 0.7993132638158198766 D2(137,223) = 0.07298459307729765639 C1(137,223) = 1.069732921087164391 C2(137,223) = 1.246455303699666333 C3(137,223) = 5.498143233392149054 C4(137,223) = 1784 Sum = 4409.901214184553090 Averaged sum = 0.4405935871899843231 logp*logq = 26.60318197826005735 -------------- ************************************* p = 137; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 390483132073.7860420 -------------- Searches starting with [137,227]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(137,227) = 0.7976500104153980610 D2(137,227) = 0.09278821076975718576 C1(137,227) = 1.135547339584897059 C2(137,227) = 1.750015011934851344 C3(137,227) = 6.106005900034858694 C4(137,227) = 1816 Sum = 4593.883060923030910 Averaged sum = 0.4589752283867550115 logp*logq = 26.69065060957945397 -------------- ************************************* p = 137; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 407704552798.2018536 -------------- Searches starting with [137,229]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(137,229) = 0.6685208516821431211 D2(137,229) = 0.08791980653897123103 C1(137,229) = 0.9160009483102202293 C2(137,229) = 1.746806240238642106 C3(137,229) = 4.303671836018921573 C4(137,229) = 1832 Sum = 4655.604220036666533 Averaged sum = 0.4651417943887168082 logp*logq = 26.73380861373944185 -------------- ************************************* p = 137; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 443962180856.1666873 -------------- Searches starting with [137,233]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(137,233) = 0.6529376804809758408 D2(137,233) = 0.01158361500465426422 C1(137,233) = 0.9330915050747548607 C2(137,233) = 2.006281882570718687 C3(137,233) = 4.422472979707669752 C4(137,233) = 1864 Sum = 4355.207477637725945 Averaged sum = 0.4351291315453817509 logp*logq = 26.81900521749888577 -------------- ************************************* p = 137; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 503120839866.1197795 -------------- Searches starting with [137,239]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(137,239) = 0.6825045444849158491 D2(137,239) = 0.06683173333797990073 C1(137,239) = 0.8903835518810595484 C2(137,239) = 1.778561726079286813 C3(137,239) = 4.131548419690588529 C4(137,239) = 1912 Sum = 3972.682152258490658 Averaged sum = 0.3969109953300520190 logp*logq = 26.94409621649597530 -------------- ************************************* p = 137; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 524177547411.1968817 -------------- Searches starting with [137,241]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(137,241) = 0.7342719696388326146 D2(137,241) = 0.06242273941154844190 C1(137,241) = 1.011536292399116622 C2(137,241) = 1.775766625106937595 C3(137,241) = 5.011250486207021039 C4(137,241) = 1928 Sum = 4477.045108571466738 Averaged sum = 0.4473019391119459224 logp*logq = 26.98509629481461324 -------------- ************************************* p = 137; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 640249042867.4818858 -------------- Searches starting with [137,251]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(137,251) = 0.9311378890081056144 D2(137,251) = 0.006312463599995160597 C1(137,251) = 1.276926111350675720 C2(137,251) = 2.086838198246031968 C3(137,251) = 7.648674122980965071 C4(137,251) = 2008 Sum = 5381.493563569009072 Averaged sum = 0.5376654574452002270 logp*logq = 27.18512306708932803 -------------- ************************************* p = 137; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 719159131578.1362695 -------------- Searches starting with [137,257]-exponents: u = 9, v = 7 n_start has 37 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(137,257) = 0.6534832370085087326 D2(137,257) = 0.03091415465355288165 C1(137,257) = 0.8810836874832340639 C2(137,257) = 1.810902288502000888 C3(137,257) = 4.070780456832544990 C4(137,257) = 2056 Sum = 4637.785840834318192 Averaged sum = 0.4633615586806192619 logp*logq = 27.30134849365349019 -------------- ************************************* p = 137; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 805630916089.4457030 -------------- Searches starting with [137,263]-exponents: u = 9, v = 7 n_start has 37 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(137,263) = 0.7404294884666390159 D2(137,263) = 0.01952110590385625401 C1(137,263) = 1.000093412160181281 C2(137,263) = 1.804101254338875074 C3(137,263) = 4.920713240909841158 C4(137,263) = 2104 Sum = 4367.112134131460369 Averaged sum = 0.4363185267390808641 logp*logq = 27.41489155409087739 -------------- ************************************* p = 137; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 900191425950.3253706 -------------- Searches starting with [137,269]-exponents: u = 25, v = 7 n_start has 71 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(137,269) = 0.6260633656981279507 D2(137,269) = 0.007407709076672470931 C1(137,269) = 0.8717346647379415241 C2(137,269) = 1.536439885681867138 C3(137,269) = 4.010592147248607675 C4(137,269) = 2152 Sum = 4342.444493016338291 Averaged sum = 0.4338539807189867410 logp*logq = 27.52587327315460239 -------------- ************************************* p = 137; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 933603571056.8140708 -------------- Searches starting with [137,271]-exponents: u = 33, v = 7 n_start has 88 digits starting right neighbors generation We generated 454 left neighbors We generated 9556 right neighbors We generated 10009 non-negative rho_i D1(137,271) = 0.6492309116533629024 D2(137,271) = 0.004217143263178633648 C1(137,271) = 0.8672366923126943073 C2(137,271) = 1.467297237442417661 C3(137,271) = 3.981952423430519853 C4(137,271) = 2168 Sum = 4501.143569857684236 Averaged sum = 0.4497096183292720787 logp*logq = 27.56231774295087432 -------------- ************************************* p = 137; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1039809726406.579698 -------------- Searches starting with [137,277]-exponents: u = 8, v = 594 n_start has 1468 digits --- performed 5000 steps in the continued fraction search [137,277]-exponents: u = 642, v = 32 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,277) = 0.9044046009610187617 D2(137,277) = 0.4998568368764305758 C1(137,277) = 1.125394607017892655 C2(137,277) = 1.449639260075878204 C3(137,277) = 6.008027336898929857 C4(137,277) = 2216 Sum = 5911.805010869746497 Averaged sum = 0.5912396250494795976 logp*logq = 27.67005885696516392 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,277) = 0.9044046009610187617 D2(137,277) = 0.4998568368764305758 C1(137,277) = 1.125394607017892655 C2(137,277) = 1.449639260075878204 C3(137,277) = 6.008027336898929857 C4(137,277) = 2216 Sum = 5911.805010869746497 Averaged sum = 0.5912396250494795976 logp*logq = 27.67005885696516392 -------------- ************************************* p = 137; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1115805215058.461560 -------------- Searches starting with [137,281]-exponents: u = 8, v = 41 n_start has 118 digits starting right neighbors generation We generated 807 left neighbors We generated 9203 right neighbors We generated 10009 non-negative rho_i D1(137,281) = 0.5945853044780283618 D2(137,281) = 0.03137535916074219418 C1(137,281) = 0.7994222985105782079 C2(137,281) = 1.419740643687174597 C3(137,281) = 3.574135284526355129 C4(137,281) = 2248 Sum = 4615.998052365692012 Averaged sum = 0.4611847389714948557 logp*logq = 27.74059742617597361 -------------- ************************************* p = 137; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1155426960287.253993 -------------- Searches starting with [137,283]-exponents: u = 8, v = 27 n_start has 84 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(137,283) = 0.6198524975370319951 D2(137,283) = 0.05196424387678226830 C1(137,283) = 0.8523187322440879632 C2(137,283) = 1.538099416625416608 C3(137,283) = 3.888421932573814708 C4(137,283) = 2264 Sum = 4477.737647850812822 Averaged sum = 0.4473711307673906307 logp*logq = 27.77549105418029180 -------------- ************************************* p = 137; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1370697556854.983378 -------------- Searches starting with [137,293]-exponents: u = 15, v = 6 n_start has 47 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(137,293) = 0.7291201480410253418 D2(137,293) = 0.1285817678978237495 C1(137,293) = 1.158104265269779809 C2(137,293) = 1.316190110872992011 C3(137,293) = 6.329447282771316237 C4(137,293) = 2344 Sum = 4346.802695415466685 Averaged sum = 0.4342894090733806259 logp*logq = 27.94634089177534660 -------------- ************************************* p = 137; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1724540377790.609983 -------------- Searches starting with [137,307]-exponents: u = 71, v = 6 n_start has 167 digits starting right neighbors generation We generated 2496 left neighbors We generated 7514 right neighbors We generated 10009 non-negative rho_i D1(137,307) = 0.6745670951459887380 D2(137,307) = 0.01837010334327357968 C1(137,307) = 0.9267068107442106635 C2(137,307) = 1.617216143892524821 C3(137,307) = 4.377712265453987215 C4(137,307) = 2456 Sum = 4108.969799496549380 Averaged sum = 0.4105275051949794565 logp*logq = 28.17598168325077007 -------------- ************************************* p = 137; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1837949467206.531923 -------------- Searches starting with [137,311]-exponents: u = 5174, v = 6 n_start has 11071 digits --- performed 5000 steps in the continued fraction search [137,311]-exponents: u = 1260, v = 3360 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,311) = 0.8154236874004772148 D2(137,311) = 0.6501749164061938338 C1(137,311) = 0.9673369899217581210 C2(137,311) = 1.420873924404674764 C3(137,311) = 4.670483164477139463 C4(137,311) = 2488 Sum = 6706.982050907569213 Averaged sum = 0.6707652816189188132 logp*logq = 28.23967164612529764 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,311) = 0.8154236874004772148 D2(137,311) = 0.6501749164061938338 C1(137,311) = 0.9673369899217581210 C2(137,311) = 1.420873924404674764 C3(137,311) = 4.670483164477139463 C4(137,311) = 2488 Sum = 6706.982050907569213 Averaged sum = 0.6707652816189188132 logp*logq = 28.23967164612529764 -------------- ************************************* p = 137; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1896839305313.875094 -------------- Searches starting with [137,313]-exponents: u = 7, v = 131 n_start has 342 digits --- performed 5000 steps in the continued fraction search [137,313]-exponents: u = 63, v = 45 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,313) = 0.8166910768915737675 D2(137,313) = 0.03440077148891761166 C1(137,313) = 1.075364227739869090 C2(137,313) = 1.442334494080802229 C3(137,313) = 5.547696676691854074 C4(137,313) = 2504 Sum = 5002.242138439848530 Averaged sum = 0.5002742412681116642 logp*logq = 28.27121009339026830 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,313) = 0.8166910768915737675 D2(137,313) = 0.03440077148891761166 C1(137,313) = 1.075364227739869090 C2(137,313) = 1.442334494080802229 C3(137,313) = 5.547696676691854074 C4(137,313) = 2504 Sum = 5002.242138439848530 Averaged sum = 0.5002742412681116642 logp*logq = 28.27121009339026830 -------------- ************************************* p = 137; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2019128061023.362509 -------------- Searches starting with [137,317]-exponents: u = 7, v = 41 n_start has 118 digits starting right neighbors generation We generated 1191 left neighbors We generated 8819 right neighbors We generated 10009 non-negative rho_i D1(137,317) = 0.5997932300185259662 D2(137,317) = 0.03537232216204369690 C1(137,317) = 0.7902665927740480557 C2(137,317) = 1.667935608236712147 C3(137,317) = 3.522374865714873166 C4(137,317) = 2536 Sum = 4438.408244101170905 Averaged sum = 0.4434417268559467385 logp*logq = 28.33368688119397395 -------------- ************************************* p = 137; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2497500970985.477007 -------------- Searches starting with [137,331]-exponents: u = 7, v = 11 n_start has 43 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(137,331) = 0.6071748919347696872 D2(137,331) = 0.09152269520322670243 C1(137,331) = 0.8598638339030845571 C2(137,331) = 1.853904067616590216 C3(137,331) = 3.935449269558393289 C4(137,331) = 2648 Sum = 4416.902819644150910 Averaged sum = 0.4412931181580728254 logp*logq = 28.54631173625201794 -------------- ************************************* p = 137; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2728292315845.431647 -------------- Searches starting with [137,337]-exponents: u = 13, v = 5 n_start has 41 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(137,337) = 0.7694227737702330809 D2(137,337) = 0.1060520587604102245 C1(137,337) = 1.037401426808550192 C2(137,337) = 1.391543152097825873 C3(137,337) = 5.222083817648020085 C4(137,337) = 2696 Sum = 4802.889865286634619 Averaged sum = 0.4798571151250509160 logp*logq = 28.63469700407147889 -------------- ************************************* p = 137; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3150449781379.268747 -------------- Searches starting with [137,347]-exponents: u = 19, v = 5 n_start has 54 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(137,347) = 1.064007353959494469 D2(137,347) = 0.01712516537540871081 C1(137,347) = 1.426804265342207965 C2(137,347) = 1.814202008904861300 C3(137,347) = 9.711724585913271823 C4(137,347) = 2776 Sum = 4939.422761709223593 Averaged sum = 0.4934981278558520924 logp*logq = 28.77856634631234133 -------------- ************************************* p = 137; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3240802747398.648194 -------------- Searches starting with [137,349]-exponents: u = 19, v = 5 n_start has 54 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(137,349) = 0.6543451121819446398 D2(137,349) = 0.001171934020863393669 C1(137,349) = 0.8641266596794864901 C2(137,349) = 1.799437739978202857 C3(137,349) = 3.962269741820474243 C4(137,349) = 2792 Sum = 4444.505912194757721 Averaged sum = 0.4440509453686439925 logp*logq = 28.80684217658775657 -------------- ************************************* p = 137; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3427701178591.230700 -------------- Searches starting with [137,353]-exponents: u = 31, v = 5 n_start has 79 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(137,353) = 0.9414784200077892032 D2(137,353) = 0.05518572620672446207 C1(137,353) = 1.378306473977747419 C2(137,353) = 1.739095383607173588 C3(137,353) = 8.989543954594331969 C4(137,353) = 2824 Sum = 3150.701795325898648 Averaged sum = 0.3147868713483763261 logp*logq = 28.86291094209180245 -------------- ************************************* p = 137; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3724053836456.695572 -------------- Searches starting with [137,359]-exponents: u = 55, v = 5 n_start has 131 digits starting right neighbors generation We generated 1371 left neighbors We generated 8639 right neighbors We generated 10009 non-negative rho_i D1(137,359) = 0.9523754320510310752 D2(137,359) = 0.01633087375182522828 C1(137,359) = 1.247498744841384125 C2(137,359) = 1.623964291081753662 C3(137,359) = 7.298330005084099747 C4(137,359) = 2872 Sum = 4132.614771964206230 Averaged sum = 0.4128898763077436537 logp*logq = 28.94583393185989750 -------------- ************************************* p = 137; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4150573579471.501744 -------------- Searches starting with [137,367]-exponents: u = 6, v = 709 n_start has 1832 digits --- performed 5000 steps in the continued fraction search [137,367]-exponents: u = 251, v = 499 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,367) = 0.7326648145137420802 D2(137,367) = 0.4945433771792913986 C1(137,367) = 0.9056987661784305241 C2(137,367) = 1.452283929204265981 C3(137,367) = 4.233605774646221376 C4(137,367) = 2936 Sum = 5958.630160772493031 Averaged sum = 0.5959226083380831114 logp*logq = 29.05426765254161138 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,367) = 0.7326648145137420802 D2(137,367) = 0.4945433771792913986 C1(137,367) = 0.9056987661784305241 C2(137,367) = 1.452283929204265981 C3(137,367) = 4.233605774646221376 C4(137,367) = 2936 Sum = 5958.630160772493031 Averaged sum = 0.5959226083380831114 logp*logq = 29.05426765254161138 -------------- ************************************* p = 137; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4495297091518.579559 -------------- Searches starting with [137,373]-exponents: u = 6, v = 54 n_start has 152 digits starting right neighbors generation We generated 1837 left neighbors We generated 8173 right neighbors We generated 10009 non-negative rho_i D1(137,373) = 0.5925117921701939275 D2(137,373) = 0.01754626284433298655 C1(137,373) = 0.7846791268913784330 C2(137,373) = 1.592507477267820138 C3(137,373) = 3.491155968661750245 C4(137,373) = 2984 Sum = 4297.427566026220594 Averaged sum = 0.4293563359003117788 logp*logq = 29.13405287544302438 -------------- ************************************* p = 137; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4862456483476.276167 -------------- Searches starting with [137,379]-exponents: u = 6, v = 29 n_start has 88 digits starting right neighbors generation We generated 630 left neighbors We generated 9380 right neighbors We generated 10009 non-negative rho_i D1(137,379) = 0.8787723818105909097 D2(137,379) = 0.004865387485713428947 C1(137,379) = 1.272595085420516203 C2(137,379) = 1.739056774965468576 C3(137,379) = 7.596075040041702800 C4(137,379) = 3032 Sum = 3208.065680910996186 Averaged sum = 0.3205181017994800865 logp*logq = 29.21256487541944735 -------------- ************************************* p = 137; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5120220871053.135953 -------------- Searches starting with [137,383]-exponents: u = 6, v = 19 n_start has 62 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(137,383) = 1.521184528345023709 D2(137,383) = 0.04840681664075552972 C1(137,383) = 2.072723630509459147 C2(137,383) = 1.784366069631608918 C3(137,383) = 27.17996731503063969 C4(137,383) = 3064 Sum = 5774.839467304890181 Averaged sum = 0.5769646785198211791 logp*logq = 29.26421869292707562 -------------- ************************************* p = 137; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5527167644663.855892 -------------- Searches starting with [137,389]-exponents: u = 6, v = 14 n_start has 50 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(137,389) = 1.286407549233668117 D2(137,389) = 0.1235973972085952356 C1(137,389) = 1.842034893145971926 C2(137,389) = 1.862173483705079335 C3(137,389) = 18.82004955774908442 C4(137,389) = 3112 Sum = 5457.124764238515227 Averaged sum = 0.5452217768247092844 logp*logq = 29.34069662026536488 -------------- ************************************* p = 137; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6109416359372.376572 -------------- Searches starting with [137,397]-exponents: u = 6, v = 9 n_start has 37 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(137,397) = 0.9319667317938174546 D2(137,397) = 0.01373760127670677763 C1(137,397) = 1.322047789620237661 C2(137,397) = 1.896300407966146443 C3(137,397) = 8.218805609470673333 C4(137,397) = 3176 Sum = 4720.871438545539206 Averaged sum = 0.4716626474718292742 logp*logq = 29.44085236235186945 -------------- ************************************* p = 137; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6418309572518.183323 -------------- Searches starting with [137,401]-exponents: u = 6, v = 9 n_start has 37 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(137,401) = 0.6071863379966627649 D2(137,401) = 0.03344919266692908484 C1(137,401) = 0.8372704144141887407 C2(137,401) = 1.917865965205659604 C3(137,401) = 3.796299770139828541 C4(137,401) = 3208 Sum = 4338.666261101687876 Averaged sum = 0.4334764972626324184 logp*logq = 29.49017589249784332 -------------- ************************************* p = 137; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7073410437669.119756 -------------- Searches starting with [137,409]-exponents: u = 11, v = 4 n_start has 34 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(137,409) = 1.406153695167485922 D2(137,409) = 0.03905384839565648200 C1(137,409) = 2.340486087264944835 C2(137,409) = 1.020575799673600766 C3(137,409) = 41.64192093309187307 C4(137,409) = 3272 Sum = 2742.343682105592838 Averaged sum = 0.2739877792092709400 logp*logq = 29.58736386109409043 -------------- ************************************* p = 137; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7966049054310.880971 -------------- Searches starting with [137,419]-exponents: u = 11, v = 4 n_start has 34 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(137,419) = 1.034980997895278987 D2(137,419) = 0.01138666098002466985 C1(137,419) = 1.535328536486255994 C2(137,419) = 1.939782695511595176 C3(137,419) = 11.54492679606399742 C4(137,419) = 3352 Sum = 3665.007227650123877 Averaged sum = 0.3661711687131705342 logp*logq = 29.70620975862923147 -------------- ************************************* p = 137; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8154885272177.648279 -------------- Searches starting with [137,421]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(137,421) = 0.5897136601619896606 D2(137,421) = 0.1297619844416006196 C1(137,421) = 0.8108727919287273733 C2(137,421) = 1.821278404023733761 C3(137,421) = 3.639940709379631624 C4(137,421) = 3368 Sum = 4372.897411977547098 Averaged sum = 0.4368965343168695272 logp*logq = 29.72963828350006889 -------------- ************************************* p = 137; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9153304680898.864864 -------------- Searches starting with [137,431]-exponents: u = 16, v = 4 n_start has 45 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(137,431) = 0.5868659565973825868 D2(137,431) = 0.1099291710631464636 C1(137,431) = 0.7946650254936608901 C2(137,431) = 1.911337597684742796 C3(137,431) = 3.547146520397214728 C4(137,431) = 3448 Sum = 4316.809855334081752 Averaged sum = 0.4312928219936139227 logp*logq = 29.84513609732211563 -------------- ************************************* p = 137; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9364188798124.059802 -------------- Searches starting with [137,433]-exponents: u = 16, v = 4 n_start has 45 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(137,433) = 0.6391484551099871348 D2(137,433) = 0.08635123927445519791 C1(137,433) = 0.8415877305373005365 C2(137,433) = 1.888723349930571419 C3(137,433) = 3.822503779246513992 C4(137,433) = 3464 Sum = 4300.086422851620365 Averaged sum = 0.4296219825009112164 logp*logq = 29.86791382747741756 -------------- ************************************* p = 137; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10020168777870.55199 -------------- Searches starting with [137,439]-exponents: u = 21, v = 4 n_start has 56 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(137,439) = 0.7824577146277676372 D2(137,439) = 0.02383452795175661988 C1(137,439) = 1.015818912034792807 C2(137,439) = 1.829070881225011401 C3(137,439) = 5.045561771781196313 C4(137,439) = 3512 Sum = 3889.685828394571712 Averaged sum = 0.3886188258961506357 logp*logq = 29.93562105554226419 -------------- ************************************* p = 137; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10477456225927.33898 -------------- Searches starting with [137,443]-exponents: u = 26, v = 4 n_start has 67 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(137,443) = 0.9830074926956002419 D2(137,443) = 0.09268517301224482690 C1(137,443) = 1.302302635865157189 C2(137,443) = 1.809907120153194388 C3(137,443) = 7.964266511435687241 C4(137,443) = 3544 Sum = 4655.563514017867760 Averaged sum = 0.4651377274470844001 logp*logq = 29.98024703882494068 -------------- ************************************* p = 137; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11194415135955.90334 -------------- Searches starting with [137,449]-exponents: u = 31, v = 4 n_start has 77 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(137,449) = 0.8015623126192636084 D2(137,449) = 0.009152371451444646630 C1(137,449) = 1.157961839536136981 C2(137,449) = 1.729075962064530340 C3(137,449) = 6.328011119548739881 C4(137,449) = 3592 Sum = 4388.388383222927095 Averaged sum = 0.4384442385076358373 logp*logq = 30.04643612128768525 -------------- ************************************* p = 137; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12210598987043.34194 -------------- Searches starting with [137,457]-exponents: u = 56, v = 4 n_start has 131 digits starting right neighbors generation We generated 1059 left neighbors We generated 8951 right neighbors We generated 10009 non-negative rho_i D1(137,457) = 0.8182933276507834344 D2(137,457) = 0.03829084216633715922 C1(137,457) = 1.135452280084812214 C2(137,457) = 1.600970193890705799 C3(137,457) = 6.105081162082847069 C4(137,457) = 3656 Sum = 5024.904547002998202 Averaged sum = 0.5020386199423517036 logp*logq = 30.13332545993580873 -------------- ************************************* p = 137; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12745525465495.48226 -------------- Searches starting with [137,461]-exponents: u = 91, v = 4 n_start has 206 digits starting right neighbors generation We generated 2972 left neighbors We generated 7038 right neighbors We generated 10009 non-negative rho_i D1(137,461) = 0.6409591399670715714 D2(137,461) = 0.003752903695070773417 C1(137,461) = 0.8673557233726126023 C2(137,461) = 1.502500281091415967 C3(137,461) = 3.982707683241204138 C4(137,461) = 3688 Sum = 4264.693202683089671 Averaged sum = 0.4260858430096003267 logp*logq = 30.17620138205506028 -------------- ************************************* p = 137; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13019899503363.66870 -------------- Searches starting with [137,463]-exponents: u = 121, v = 4 n_start has 270 digits starting right neighbors generation We generated 5036 left neighbors We generated 4974 right neighbors We generated 10009 non-negative rho_i D1(137,463) = 0.7675586346250910409 D2(137,463) = 0.005033344103734819184 C1(137,463) = 1.020430094640381159 C2(137,463) = 1.434564421169183004 C3(137,463) = 5.082768118993960211 C4(137,463) = 3704 Sum = 4866.808454403723166 Averaged sum = 0.4862432265364894760 logp*logq = 30.19750003404351964 -------------- ************************************* p = 137; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13582763451689.00027 -------------- Searches starting with [137,467]-exponents: u = 421, v = 4 n_start has 911 digits --- performed 5000 steps in the continued fraction search [137,467]-exponents: u = 271, v = 112 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,467) = 0.9058807992152883729 D2(137,467) = 0.3139154052437908035 C1(137,467) = 1.144740933986454452 C2(137,467) = 1.398875598684511498 C3(137,467) = 6.196106167942079564 C4(137,467) = 3736 Sum = 5533.985712303061212 Averaged sum = 0.5534539166219683180 logp*logq = 30.23982271159031313 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,467) = 0.9058807992152883729 D2(137,467) = 0.3139154052437908035 C1(137,467) = 1.144740933986454452 C2(137,467) = 1.398875598684511498 C3(137,467) = 6.196106167942079564 C4(137,467) = 3736 Sum = 5533.985712303061212 Averaged sum = 0.5534539166219683180 logp*logq = 30.23982271159031313 -------------- ************************************* p = 137; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15388617353786.44969 -------------- Searches starting with [137,479]-exponents: u = 5, v = 55 n_start has 159 digits starting right neighbors generation We generated 1679 left neighbors We generated 8331 right neighbors We generated 10009 non-negative rho_i D1(137,479) = 0.6238878122666481710 D2(137,479) = 0.01916972125310148179 C1(137,479) = 0.8241849057053744654 C2(137,479) = 1.569499556657563310 C3(137,479) = 3.717969350476496567 C4(137,479) = 3832 Sum = 4265.994306859587289 Averaged sum = 0.4262158364331688769 logp*logq = 30.36464921918374638 -------------- ************************************* p = 137; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16695184651539.01525 -------------- Searches starting with [137,487]-exponents: u = 5, v = 31 n_start has 94 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(137,487) = 0.5941734132276952235 D2(137,487) = 0.01566985070808020172 C1(137,487) = 0.8525987837363945349 C2(137,487) = 1.711358531542972106 C3(137,487) = 3.890157362156197727 C4(137,487) = 3896 Sum = 4290.020421557591539 Averaged sum = 0.4286162874970118432 logp*logq = 30.44614144955284967 -------------- ************************************* p = 137; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17380793952922.40338 -------------- Searches starting with [137,491]-exponents: u = 5, v = 23 n_start has 73 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(137,491) = 0.7209533930710692061 D2(137,491) = 0.07196940811223984621 C1(137,491) = 1.046699552096402866 C2(137,491) = 1.768945021416535509 C3(137,491) = 5.300023567838929310 C4(137,491) = 3928 Sum = 4048.416656662963957 Averaged sum = 0.4044776357940817221 logp*logq = 30.48638691670873333 -------------- ************************************* p = 137; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18819289383300.46194 -------------- Searches starting with [137,499]-exponents: u = 5, v = 19 n_start has 62 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(137,499) = 0.6918772066580001919 D2(137,499) = 0.07099364914228447042 C1(137,499) = 0.9121775667559211945 C2(137,499) = 1.846740045918961143 C3(137,499) = 4.277534370993399537 C4(137,499) = 3992 Sum = 4231.114413836657577 Averaged sum = 0.4227309834985170923 logp*logq = 30.56590349078100927 -------------- ************************************* p = 137; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19573250591507.54744 -------------- Searches starting with [137,503]-exponents: u = 5, v = 15 n_start has 52 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(137,503) = 0.7982390520234265674 D2(137,503) = 0.1190764620172310862 C1(137,503) = 1.068815924087283316 C2(137,503) = 1.896134032782625467 C3(137,503) = 5.490116006042000021 C4(137,503) = 4024 Sum = 4608.256411907453238 Averaged sum = 0.4604112710468032009 logp*logq = 30.60518498428464795 -------------- ************************************* p = 137; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20749128519103.11801 -------------- Searches starting with [137,509]-exponents: u = 5, v = 11 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(137,509) = 1.090093021254025933 D2(137,509) = 0.01874745664449984005 C1(137,509) = 1.679967797381343193 C2(137,509) = 1.904909881991764643 C3(137,509) = 14.53704922347372774 C4(137,509) = 4072 Sum = 3930.133889258468709 Averaged sum = 0.3926599949304095023 logp*logq = 30.66352536264390168 -------------- ************************************* p = 137; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23269646041146.96918 -------------- Searches starting with [137,521]-exponents: u = 5, v = 11 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(137,521) = 0.6327441058840698909 D2(137,521) = 0.1033198924438136568 C1(137,521) = 1.014896910204404141 C2(137,521) = 1.446492598480084529 C3(137,521) = 5.038155132764043081 C4(137,521) = 4168 Sum = 4052.819138525305579 Averaged sum = 0.4049174881132286521 logp*logq = 30.77817088217506126 -------------- ************************************* p = 137; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23712451524041.08151 -------------- Searches starting with [137,523]-exponents: u = 5, v = 11 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(137,523) = 1.111022862775374492 D2(137,523) = 0.08311808423219511370 C1(137,523) = 1.430030544499300916 C2(137,523) = 1.243413129826681450 C3(137,523) = 9.761775710107104958 C4(137,523) = 4184 Sum = 4251.760883868224898 Averaged sum = 0.4247937739902312817 logp*logq = 30.79702140686670900 -------------- ************************************* p = 137; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28007762229411.48024 -------------- Searches starting with [137,541]-exponents: u = 23, v = 7 n_start has 69 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(137,541) = 0.7149191125458301196 D2(137,541) = 0.05117487399883694390 C1(137,541) = 0.9991689855505894959 C2(137,541) = 1.731777420719591352 C3(137,541) = 4.913470890658232862 C4(137,541) = 4328 Sum = 4294.493677140979318 Averaged sum = 0.4290632108243560113 logp*logq = 30.96350281016368240 -------------- ************************************* p = 137; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29569598027654.80106 -------------- Searches starting with [137,547]-exponents: u = 41, v = 7 n_start has 107 digits starting right neighbors generation We generated 618 left neighbors We generated 9392 right neighbors We generated 10009 non-negative rho_i D1(137,547) = 0.7074665368876037601 D2(137,547) = 0.02870939769797063112 C1(137,547) = 1.011004398888126281 C2(137,547) = 1.565320986143733499 C3(137,547) = 5.007005408782484530 C4(137,547) = 4376 Sum = 3475.425458664209020 Averaged sum = 0.3472300388314725766 logp*logq = 31.01776785577611246 -------------- ************************************* p = 137; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32326239434073.12321 -------------- Searches starting with [137,557]-exponents: u = 284, v = 7 n_start has 627 digits --- performed 5000 steps in the continued fraction search [137,557]-exponents: u = 23, v = 101 --- starting right neighbors generation We generated 7557 left neighbors We generated 2453 right neighbors We generated 10009 non-negative rho_i D1(137,557) = 0.9347123427463542895 D2(137,557) = 0.0007693567847206675533 C1(137,557) = 1.534132697550751978 C2(137,557) = 1.157246435124695732 C3(137,557) = 11.52295077690866868 C4(137,557) = 4456 Sum = 4510.431520109745166 Averaged sum = 0.4506375781906029739 logp*logq = 31.10690038274615958 -------------- ************************************* p = 137; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34076018001468.70371 -------------- Searches starting with [137,563]-exponents: u = 9, v = 87 n_start has 259 digits starting right neighbors generation We generated 2176 left neighbors We generated 7834 right neighbors We generated 10009 non-negative rho_i D1(137,563) = 0.7286903832634942611 D2(137,563) = 0.004129041975211554268 C1(137,563) = 1.212875740264529985 C2(137,563) = 1.325027770281814587 C3(137,563) = 6.906621307408436497 C4(137,563) = 4504 Sum = 4652.979085647394688 Averaged sum = 0.4648795169994399728 logp*logq = 31.15961496838311657 -------------- ************************************* p = 137; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35900442298371.70233 -------------- Searches starting with [137,569]-exponents: u = 9, v = 38 n_start has 124 digits starting right neighbors generation We generated 762 left neighbors We generated 9248 right neighbors We generated 10009 non-negative rho_i D1(137,569) = 0.8113242600668879453 D2(137,569) = 0.01636570564101028499 C1(137,569) = 1.143483151084815466 C2(137,569) = 1.517428381701754594 C3(137,569) = 6.183701410843529031 C4(137,569) = 4552 Sum = 3555.473765213917934 Averaged sum = 0.3552276716169365505 logp*logq = 31.21177073163579262 -------------- ************************************* p = 137; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36525575885065.97192 -------------- Searches starting with [137,571]-exponents: u = 9, v = 31 n_start has 105 digits starting right neighbors generation We generated 596 left neighbors We generated 9414 right neighbors We generated 10009 non-negative rho_i D1(137,571) = 0.9904626353647405241 D2(137,571) = 0.02098035236964780103 C1(137,571) = 1.285859488452948455 C2(137,571) = 1.571414154683447536 C3(137,571) = 7.758320705682957841 C4(137,571) = 4568 Sum = 3899.553074695148465 Averaged sum = 0.3896046632725695339 logp*logq = 31.22903384031482723 -------------- ************************************* p = 137; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38453186435982.85639 -------------- Searches starting with [137,577]-exponents: u = 9, v = 17 n_start has 67 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(137,577) = 0.6594447447928162128 D2(137,577) = 0.03673317240702673098 C1(137,577) = 0.8965809501762655376 C2(137,577) = 1.742003767850438516 C3(137,577) = 4.172546831235506690 C4(137,577) = 4616 Sum = 4289.708447449966256 Averaged sum = 0.4285851181386718209 logp*logq = 31.28046268064370379 -------------- ************************************* p = 137; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41845296423570.09637 -------------- Searches starting with [137,587]-exponents: u = 9, v = 10 n_start has 47 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(137,587) = 0.7295329297325832265 D2(137,587) = 0.06536332588230115426 C1(137,587) = 0.9865937616506093798 C2(137,587) = 1.914556396384964583 C3(137,587) = 4.816003485225787159 C4(137,587) = 4696 Sum = 4579.667442534323434 Averaged sum = 0.4575549448031095448 logp*logq = 31.36500051523511319 -------------- ************************************* p = 137; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43992252322968.80698 -------------- Searches starting with [137,593]-exponents: u = 9, v = 10 n_start has 47 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(137,593) = 0.7385119434281783927 D2(137,593) = 0.08135156161579359898 C1(137,593) = 1.024749997743602371 C2(137,593) = 1.932386077616079229 C3(137,593) = 5.117873087851756373 C4(137,593) = 4744 Sum = 4585.509127808514325 Averaged sum = 0.4581385880516049880 logp*logq = 31.41503465077338692 -------------- ************************************* p = 137; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46226071748634.77759 -------------- Searches starting with [137,599]-exponents: u = 9, v = 10 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(137,599) = 1.187796031591296164 D2(137,599) = 0.05831450656238618418 C1(137,599) = 1.925667626939760965 C2(137,599) = 1.118549838978880497 C3(137,599) = 21.50262866938986730 C4(137,599) = 4792 Sum = 3292.371775769677641 Averaged sum = 0.3289411305594642463 logp*logq = 31.46456507840910221 -------------- ************************************* p = 137; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46990427656545.53075 -------------- Searches starting with [137,601]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(137,601) = 0.8727151590362926783 D2(137,601) = 0.06661004010533864261 C1(137,601) = 1.414831563846832308 C2(137,601) = 1.259097455825232011 C3(137,601) = 9.528218029148894115 C4(137,601) = 4808 Sum = 4169.545920773915109 Averaged sum = 0.4165796703740548615 logp*logq = 31.48096503001368092 -------------- ************************************* p = 137; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49344104647074.57644 -------------- Searches starting with [137,607]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(137,607) = 0.6049621988743918561 D2(137,607) = 0.05638737080635597443 C1(137,607) = 0.7960801523272440394 C2(137,607) = 2.042028160841988661 C3(137,607) = 3.555153394848419363 C4(137,607) = 4856 Sum = 4424.451676484191703 Averaged sum = 0.4420473250558688883 logp*logq = 31.52983941463310435 -------------- ************************************* p = 137; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51790769783582.24150 -------------- Searches starting with [137,613]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(137,613) = 0.7532775742982123372 D2(137,613) = 0.02126510409987515319 C1(137,613) = 1.106153497076856826 C2(137,613) = 2.009079629611905447 C3(137,613) = 5.826634229500503090 C4(137,613) = 4904 Sum = 3745.238215450382069 Averaged sum = 0.3741870531971607622 logp*logq = 31.57823305981021502 -------------- ************************************* p = 137; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53474875813090.43504 -------------- Searches starting with [137,617]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(137,617) = 0.8750876258221350060 D2(137,617) = 0.1411557145202889986 C1(137,617) = 1.171143347716941734 C2(137,617) = 1.871900682708291158 C3(137,617) = 6.462318446067927244 C4(137,617) = 4936 Sum = 4609.912468516197723 Averaged sum = 0.4605767277966028297 logp*logq = 31.61023304855847117 -------------- ************************************* p = 137; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54333132450125.41479 -------------- Searches starting with [137,619]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(137,619) = 0.6203744367000677384 D2(137,619) = 0.1471350692805311619 C1(137,619) = 0.8453048983343511994 C2(137,619) = 1.878438163026034387 C3(137,619) = 3.845210040003128192 C4(137,619) = 4952 Sum = 4025.315782343678547 Averaged sum = 0.4021696255713536364 logp*logq = 31.62615533082341050 -------------- ************************************* p = 137; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59716045358064.82051 -------------- Searches starting with [137,631]-exponents: u = 17, v = 3 n_start has 45 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(137,631) = 0.8350708932940307809 D2(137,631) = 0.08838217328758188856 C1(137,631) = 1.200841567025236002 C2(137,631) = 1.975838146008004652 C3(137,631) = 6.775454551697582004 C4(137,631) = 5048 Sum = 4038.222463757916566 Averaged sum = 0.4034591331559513004 logp*logq = 31.72062186668261538 -------------- ************************************* p = 137; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64519050397075.98500 -------------- Searches starting with [137,641]-exponents: u = 21, v = 3 n_start has 54 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(137,641) = 0.6396174933616099820 D2(137,641) = 0.01012235659741021575 C1(137,641) = 0.8819951009459771102 C2(137,641) = 1.900915216395652581 C3(137,641) = 4.076696172819754602 C4(137,641) = 5128 Sum = 3945.601212311168042 Averaged sum = 0.3942053364283313060 logp*logq = 31.79798165111500155 -------------- ************************************* p = 137; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65515554711835.87525 -------------- Searches starting with [137,643]-exponents: u = 21, v = 3 n_start has 54 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(137,643) = 1.015362609738825243 D2(137,643) = 0.1378375698602009767 C1(137,643) = 1.437911858630250679 C2(137,643) = 1.951218456949800614 C3(137,643) = 9.885130475411304049 C4(137,643) = 5144 Sum = 4529.649395872350047 Averaged sum = 0.4525576377132930409 logp*logq = 31.81330870689324810 -------------- ************************************* p = 137; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67545348259444.74269 -------------- Searches starting with [137,647]-exponents: u = 21, v = 3 n_start has 54 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(137,647) = 0.7644761795353116512 D2(137,647) = 0.09138298783436567630 C1(137,647) = 1.142906498644909030 C2(137,647) = 1.906036956375982126 C3(137,647) = 6.178022540235459356 C4(137,647) = 5176 Sum = 3991.879037854611825 Averaged sum = 0.3988289577235100235 logp*logq = 31.84382031429877440 -------------- ************************************* p = 137; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70683681247651.03330 -------------- Searches starting with [137,653]-exponents: u = 25, v = 3 n_start has 62 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(137,653) = 0.6571316242668607326 D2(137,653) = 0.03188794551668809317 C1(137,653) = 0.8940765666572879994 C2(137,653) = 1.848436751610208554 C3(137,653) = 4.155930516923223126 C4(137,653) = 5224 Sum = 4494.098522392341908 Averaged sum = 0.4490057470668740041 logp*logq = 31.88923584532385538 -------------- ************************************* p = 137; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73937110121854.06167 -------------- Searches starting with [137,659]-exponents: u = 29, v = 3 n_start has 71 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(137,659) = 0.6413385706449224077 D2(137,659) = 0.07248292406388491519 C1(137,659) = 0.8889311212692234465 C2(137,659) = 1.830226529284325014 C3(137,659) = 4.121998391631948832 C4(137,659) = 5272 Sum = 4213.553027523065358 Averaged sum = 0.4209764239707328761 logp*logq = 31.93423598457604476 -------------- ************************************* p = 137; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75047700134400.65850 -------------- Searches starting with [137,661]-exponents: u = 29, v = 3 n_start has 71 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(137,661) = 0.8168548980951494245 D2(137,661) = 0.04916211245076812446 C1(137,661) = 1.189093276581856257 C2(137,661) = 1.807510557797728040 C3(137,661) = 6.649807129609920428 C4(137,661) = 5288 Sum = 4261.185425598766841 Averaged sum = 0.4257353807172311760 logp*logq = 31.94914502909344070 -------------- ************************************* p = 137; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81993641352341.84495 -------------- Searches starting with [137,673]-exponents: u = 45, v = 3 n_start has 105 digits starting right neighbors generation We generated 565 left neighbors We generated 9445 right neighbors We generated 10009 non-negative rho_i D1(137,673) = 1.577670289345612715 D2(137,673) = 0.04731638676882488150 C1(137,673) = 2.238014993050554196 C2(137,673) = 1.719235722943037273 C3(137,673) = 35.36914052331086420 C4(137,673) = 5384 Sum = 3629.651834478115940 Averaged sum = 0.3626388085201434649 logp*logq = 32.03766281570243638 -------------- ************************************* p = 137; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84419399544912.28111 -------------- Searches starting with [137,677]-exponents: u = 49, v = 3 n_start has 114 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(137,677) = 0.6074001248713608961 D2(137,677) = 0.04483352789076229405 C1(137,677) = 0.8166496674405135042 C2(137,677) = 1.683053548088457174 C3(137,677) = 3.673598559278090957 C4(137,677) = 5416 Sum = 4508.190919304481772 Averaged sum = 0.4504137195828236359 logp*logq = 32.06681834354630814 -------------- ************************************* p = 137; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88164915962498.52503 -------------- Searches starting with [137,683]-exponents: u = 61, v = 3 n_start has 139 digits starting right neighbors generation We generated 923 left neighbors We generated 9087 right neighbors We generated 10009 non-negative rho_i D1(137,683) = 1.313665013647265169 D2(137,683) = 0.03516744876611013115 C1(137,683) = 1.815072584886375318 C2(137,683) = 1.618292569184546163 C3(137,683) = 18.02867590676103782 C4(137,683) = 5464 Sum = 6619.510734373559206 Averaged sum = 0.6613558531695033675 logp*logq = 32.11023022160359380 -------------- ************************************* p = 137; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93363652261173.67043 -------------- Searches starting with [137,691]-exponents: u = 97, v = 3 n_start has 216 digits starting right neighbors generation We generated 2390 left neighbors We generated 7620 right neighbors We generated 10009 non-negative rho_i D1(137,691) = 0.6330676372028098758 D2(137,691) = 0.02047671574393041068 C1(137,691) = 0.8516270794179433925 C2(137,691) = 1.508093660677350621 C3(137,691) = 3.884139198711681741 C4(137,691) = 5528 Sum = 4700.583259673703179 Averaged sum = 0.4696356538788793265 logp*logq = 32.16752322333419401 -------------- ************************************* p = 137; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100202456530227.8773 -------------- Searches starting with [137,701]-exponents: u = 289, v = 3 n_start has 627 digits --- performed 5000 steps in the continued fraction search [137,701]-exponents: u = 237, v = 24 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,701) = 0.5394200833455030317 D2(137,701) = 0.1542312601771466850 C1(137,701) = 0.6910960118208998060 C2(137,701) = 1.369771043521603788 C3(137,701) = 3.007552098996019738 C4(137,701) = 5608 Sum = 5233.080016002907367 Averaged sum = 0.5233603376340541420 logp*logq = 32.23821382054853310 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,701) = 0.5394200833455030317 D2(137,701) = 0.1542312601771466850 C1(137,701) = 0.6910960118208998060 C2(137,701) = 1.369771043521603788 C3(137,701) = 3.007552098996019738 C4(137,701) = 5608 Sum = 5233.080016002907367 Averaged sum = 0.5233603376340541420 logp*logq = 32.23821382054853310 -------------- ************************************* p = 137; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105955889901612.2132 -------------- Searches starting with [137,709]-exponents: u = 4, v = 422 n_start has 1212 digits --- performed 5000 steps in the continued fraction search [137,709]-exponents: u = 479, v = 57 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,709) = 0.7702016221476835171 D2(137,709) = 0.3285800315824570699 C1(137,709) = 0.9639663154478007755 C2(137,709) = 1.423575501443526911 C3(137,709) = 4.645467515287529859 C4(137,709) = 5672 Sum = 5613.467152750963406 Averaged sum = 0.5614028555606524058 logp*logq = 32.29404399042959100 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,709) = 0.7702016221476835171 D2(137,709) = 0.3285800315824570699 C1(137,709) = 0.9639663154478007755 C2(137,709) = 1.423575501443526911 C3(137,709) = 4.645467515287529859 C4(137,709) = 5672 Sum = 5613.467152750963406 Averaged sum = 0.5614028555606524058 logp*logq = 32.29404399042959100 -------------- ************************************* p = 137; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113514581132841.2729 -------------- Searches starting with [137,719]-exponents: u = 4, v = 89 n_start has 263 digits starting right neighbors generation We generated 3730 left neighbors We generated 6280 right neighbors We generated 10009 non-negative rho_i D1(137,719) = 0.8092737810958674320 D2(137,719) = 0.0003891640521791012440 C1(137,719) = 1.077222717849148855 C2(137,719) = 1.460051694885941585 C3(137,719) = 5.564148534556670725 C4(137,719) = 5752 Sum = 4885.203056569433592 Averaged sum = 0.4880810327274886194 logp*logq = 32.36295241272944206 -------------- ************************************* p = 137; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119865643164439.7263 -------------- Searches starting with [137,727]-exponents: u = 4, v = 56 n_start has 169 digits starting right neighbors generation We generated 1474 left neighbors We generated 8536 right neighbors We generated 10009 non-negative rho_i D1(137,727) = 0.6717575411899526340 D2(137,727) = 0.02478369773490953900 C1(137,727) = 0.9196625597981689537 C2(137,727) = 1.585220717274718609 C3(137,727) = 4.328853110163535723 C4(137,727) = 5816 Sum = 3823.798741087829924 Averaged sum = 0.3820360416712788415 logp*logq = 32.41739259114881051 -------------- ************************************* p = 137; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124812161894221.7350 -------------- Searches starting with [137,733]-exponents: u = 4, v = 44 n_start has 135 digits starting right neighbors generation We generated 1003 left neighbors We generated 9007 right neighbors We generated 10009 non-negative rho_i D1(137,733) = 0.9539235945854178875 D2(137,733) = 0.007477372433591935939 C1(137,733) = 1.326672258535057535 C2(137,733) = 1.645894230102666071 C3(137,733) = 8.279586962269428812 C4(137,733) = 5864 Sum = 3595.318730328535041 Averaged sum = 0.3592085853060780339 logp*logq = 32.45783101819132258 -------------- ************************************* p = 137; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129919972474554.9146 -------------- Searches starting with [137,739]-exponents: u = 4, v = 35 n_start has 109 digits starting right neighbors generation We generated 588 left neighbors We generated 9422 right neighbors We generated 10009 non-negative rho_i D1(137,739) = 0.5728776557426444188 D2(137,739) = 0.03876736980320170799 C1(137,739) = 0.7719561964527069729 C2(137,739) = 1.711367381634018906 C3(137,739) = 3.421097480091729997 C4(137,739) = 5912 Sum = 4364.601409377024203 Averaged sum = 0.4360676800256793089 logp*logq = 32.49793978047732242 -------------- ************************************* p = 137; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 133416702331820.4447 -------------- Searches starting with [137,743]-exponents: u = 4, v = 32 n_start has 101 digits starting right neighbors generation We generated 533 left neighbors We generated 9477 right neighbors We generated 10009 non-negative rho_i D1(137,743) = 0.7604176447329305450 D2(137,743) = 0.02759179966741664298 C1(137,743) = 1.082549591565077372 C2(137,743) = 1.739464160197312753 C3(137,743) = 5.611574288639896750 C4(137,743) = 5944 Sum = 3031.495116325462184 Averaged sum = 0.3028769224023840727 logp*logq = 32.52449844645880420 -------------- ************************************* p = 137; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140635071917947.1974 -------------- Searches starting with [137,751]-exponents: u = 4, v = 26 n_start has 84 digits starting right neighbors generation We generated 352 left neighbors We generated 9658 right neighbors We generated 10009 non-negative rho_i D1(137,751) = 0.6589311197662068944 D2(137,751) = 0.04155206899146973832 C1(137,751) = 0.8701821177939077681 C2(137,751) = 1.800833726215381950 C3(137,751) = 4.000683485063033560 C4(137,751) = 6008 Sum = 4160.437162336593210 Averaged sum = 0.4156696135814360285 logp*logq = 32.57718950885008653 -------------- ************************************* p = 137; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 146250315206765.9366 -------------- Searches starting with [137,757]-exponents: u = 4, v = 23 n_start has 75 digits starting right neighbors generation We generated 309 left neighbors We generated 9701 right neighbors We generated 10009 non-negative rho_i D1(137,757) = 0.6616768744241110979 D2(137,757) = 0.01038934255045496427 C1(137,757) = 0.8696618785014420065 C2(137,757) = 1.826849474371266067 C3(137,757) = 3.997368693784243917 C4(137,757) = 6056 Sum = 4239.126093836987908 Averaged sum = 0.4235314310957126494 logp*logq = 32.61634075729812954 -------------- ************************************* p = 137; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150092002280854.7528 -------------- Searches starting with [137,761]-exponents: u = 4, v = 20 n_start has 67 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(137,761) = 0.8038888028177245311 D2(137,761) = 0.04327305675718452518 C1(137,761) = 1.089240447510870739 C2(137,761) = 1.860567985965538130 C3(137,761) = 5.671716887563630366 C4(137,761) = 6088 Sum = 4721.484826574055823 Averaged sum = 0.4717239311193981239 logp*logq = 32.64226957054249829 -------------- ************************************* p = 137; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 158016538947548.4539 -------------- Searches starting with [137,769]-exponents: u = 4, v = 17 n_start has 58 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(137,769) = 0.8193828820641258607 D2(137,769) = 0.1187553307425210056 C1(137,769) = 1.100481069114667346 C2(137,769) = 1.937706597947909456 C3(137,769) = 5.774210913141186522 C4(137,769) = 6152 Sum = 4440.598000577911628 Averaged sum = 0.4436605056027486890 logp*logq = 32.69372082036049043 -------------- ************************************* p = 137; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162101868345272.7918 -------------- Searches starting with [137,773]-exponents: u = 4, v = 17 n_start has 58 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(137,773) = 0.6280669724655632138 D2(137,773) = 0.02063445542277883572 C1(137,773) = 0.8360186958664036824 C2(137,773) = 1.911316794272416782 C3(137,773) = 3.788736092501160490 C4(137,773) = 6184 Sum = 4398.985184440155352 Averaged sum = 0.4395029657748181988 logp*logq = 32.71924607048452602 -------------- ************************************* p = 137; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 177068147987673.8813 -------------- Searches starting with [137,787]-exponents: u = 4, v = 14 n_start has 50 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(137,787) = 0.5759056671131695079 D2(137,787) = 0.1228012838363088719 C1(137,787) = 0.7738877242722963927 C2(137,787) = 2.016426646492457892 C3(137,787) = 3.431642166920640292 C4(137,787) = 6296 Sum = 4392.498730255989132 Averaged sum = 0.4388549036123478002 logp*logq = 32.80755579128191127 -------------- ************************************* p = 137; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 188416789035592.1023 -------------- Searches starting with [137,797]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(137,797) = 0.8693188865515606609 D2(137,797) = 0.009270843266831503623 C1(137,797) = 1.154327794753471711 C2(137,797) = 1.999594507699370099 C3(137,797) = 6.291476917461001942 C4(137,797) = 6376 Sum = 4604.429154687929083 Averaged sum = 0.4600288894682714640 logp*logq = 32.86967758787744229 -------------- ************************************* p = 137; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 202792206031231.4118 -------------- Searches starting with [137,809]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(137,809) = 0.6346898824882969949 D2(137,809) = 0.06864185303312589677 C1(137,809) = 0.8945392413497628682 C2(137,809) = 2.061532036287386101 C3(137,809) = 4.158995322536234194 C4(137,809) = 6472 Sum = 4093.793475957099526 Averaged sum = 0.4090112374819761740 logp*logq = 32.94320295510839413 -------------- ************************************* p = 137; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 205270771955017.1281 -------------- Searches starting with [137,811]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(137,811) = 1.018777609146157125 D2(137,811) = 0.07933608896123309636 C1(137,811) = 1.362143576505935336 C2(137,811) = 2.072650261530150673 C3(137,811) = 8.760996895788105834 C4(137,811) = 6488 Sum = 4805.552332529577273 Averaged sum = 0.4801231224427592439 logp*logq = 32.95535106233170199 -------------- ************************************* p = 137; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 218028237650198.9519 -------------- Searches starting with [137,821]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(137,821) = 0.9589115992406813787 D2(137,821) = 0.07908664266981780725 C1(137,821) = 1.523095495414581989 C2(137,821) = 1.227514401698579646 C3(137,821) = 11.32208384148986002 C4(137,821) = 6568 Sum = 3646.884355111855532 Averaged sum = 0.3643605110512394377 logp*logq = 33.01564570083478543 -------------- ************************************* p = 137; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220653886035241.7603 -------------- Searches starting with [137,823]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(137,823) = 0.7275934795139526865 D2(137,823) = 0.09931969240541315777 C1(137,823) = 1.155679368169341306 C2(137,823) = 1.419524384382003513 C3(137,823) = 6.305040011621618762 C4(137,823) = 6584 Sum = 4390.216163202026754 Averaged sum = 0.4386268521532647372 logp*logq = 33.02761646325082184 -------------- ************************************* p = 137; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 225980756411812.3389 -------------- Searches starting with [137,827]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(137,827) = 0.8419240314608519120 D2(137,827) = 0.1055289824181465714 C1(137,827) = 1.156618429357484881 C2(137,827) = 1.956503196793097460 C3(137,827) = 6.314480739972786327 C4(137,827) = 6616 Sum = 4876.110021846578187 Averaged sum = 0.4871725468924546095 logp*logq = 33.05147096295518514 -------------- ************************************* p = 137; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 228682336734396.0680 -------------- Searches starting with [137,829]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(137,829) = 0.8170479505640426468 D2(137,829) = 0.1015074772230592163 C1(137,829) = 1.140449829925504564 C2(137,829) = 1.952933090348990035 C3(137,829) = 6.153887655785201026 C4(137,829) = 6632 Sum = 4631.494502634715552 Averaged sum = 0.4627329905719567940 logp*logq = 33.06335498063137382 -------------- ************************************* p = 137; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242578931598830.9011 -------------- Searches starting with [137,839]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(137,839) = 1.007764974703433731 D2(137,839) = 0.08221550544312731202 C1(137,839) = 1.500600439773398032 C2(137,839) = 1.935881613382547962 C3(137,839) = 10.92346976543149250 C4(137,839) = 6712 Sum = 3829.819653489793384 Averaged sum = 0.3826375915166143855 logp*logq = 33.12234826447453995 -------------- ************************************* p = 137; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 263156031185851.9750 -------------- Searches starting with [137,853]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(137,853) = 0.6559035730192334907 D2(137,853) = 0.04832308623616596346 C1(137,853) = 0.8631147818701136344 C2(137,853) = 1.616568907356681225 C3(137,853) = 3.955886799936636183 C4(137,853) = 6824 Sum = 4265.390224617343636 Averaged sum = 0.4261554825274596499 logp*logq = 33.20376824665950879 -------------- ************************************* p = 137; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269283472898125.6321 -------------- Searches starting with [137,857]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(137,857) = 0.6284328309335611911 D2(137,857) = 0.01002218276124445368 C1(137,857) = 0.8139194685565448270 C2(137,857) = 2.149934570992758711 C3(137,857) = 3.657652970898471867 C4(137,857) = 6856 Sum = 3693.318071619350860 Averaged sum = 0.3689997074252523589 logp*logq = 33.22678574326546952 -------------- ************************************* p = 137; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 272389525130519.4829 -------------- Searches starting with [137,859]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(137,859) = 1.040094716062104912 D2(137,859) = 0.01582312646659998816 C1(137,859) = 1.406584462701085376 C2(137,859) = 2.156163865459537433 C3(137,859) = 9.403834862235101191 C4(137,859) = 6872 Sum = 5421.944520036222033 Averaged sum = 0.5417069157794207246 logp*logq = 33.23825423546497015 -------------- ************************************* p = 137; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278687258239383.4313 -------------- Searches starting with [137,863]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(137,863) = 0.8251796621984760939 D2(137,863) = 0.02760172109878341957 C1(137,863) = 1.373632445429763425 C2(137,863) = 2.168796121914803207 C3(137,863) = 8.922846122102228175 C4(137,863) = 6904 Sum = 4213.239207924304958 Averaged sum = 0.4209450702292241940 logp*logq = 33.26111133081870092 -------------- ************************************* p = 137; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 301648982052643.1149 -------------- Searches starting with [137,877]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(137,877) = 0.9496668445237637903 D2(137,877) = 0.02055092436823907939 C1(137,877) = 1.302335898507693058 C2(137,877) = 2.063563711766055050 C3(137,877) = 7.964688609019420568 C4(137,877) = 7016 Sum = 4022.043769195147402 Averaged sum = 0.4018427184728891399 logp*logq = 33.34028514621205534 -------------- ************************************* p = 137; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 308478781258581.5266 -------------- Searches starting with [137,881]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(137,881) = 0.7072006978899056377 D2(137,881) = 0.01400638840144202734 C1(137,881) = 0.9937873861765768821 C2(137,881) = 2.057956511034997211 C3(137,881) = 4.871520310461673127 C4(137,881) = 7048 Sum = 3454.011366491146985 Averaged sum = 0.3450905551494801664 logp*logq = 33.36267417654735122 -------------- ************************************* p = 137; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 311939570492759.5423 -------------- Searches starting with [137,883]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(137,883) = 0.6494675760450293788 D2(137,883) = 0.01078095510530242394 C1(137,883) = 0.8788716050011666795 C2(137,883) = 2.055198122153229143 C3(137,883) = 4.056458158800907020 C4(137,883) = 7064 Sum = 4398.415227846286099 Averaged sum = 0.4394460213653997502 logp*logq = 33.37383060066072236 -------------- ************************************* p = 137; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 318953946655826.2219 -------------- Searches starting with [137,887]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(137,887) = 0.6957673124083423263 D2(137,887) = 0.004420338021043408917 C1(137,887) = 0.9173063196092065285 C2(137,887) = 2.049768372173254189 C3(137,887) = 4.312632160667780408 C4(137,887) = 7096 Sum = 4289.150978356460294 Averaged sum = 0.4285294213564252467 logp*logq = 33.39606784044127709 -------------- ************************************* p = 137; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 355935608969180.6811 -------------- Searches starting with [137,907]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(137,907) = 1.280793971147312119 D2(137,907) = 0.1174070046335330193 C1(137,907) = 1.651744570318460535 C2(137,907) = 1.372154277248442549 C3(137,907) = 13.89782440833591490 C4(137,907) = 7256 Sum = 4218.793502643889004 Averaged sum = 0.4215000002641511643 logp*logq = 33.50577095673888478 -------------- ************************************* p = 137; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 363725679885052.0961 -------------- Searches starting with [137,911]-exponents: u = 18, v = 5 n_start has 54 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(137,911) = 0.7832835758557007262 D2(137,911) = 0.1149938410973976164 C1(137,911) = 1.215065184264852301 C2(137,911) = 1.373313573964166537 C3(137,911) = 6.930756792844552515 C4(137,911) = 7288 Sum = 4057.276364128053374 Averaged sum = 0.4053628098839098186 logp*logq = 33.52742107275652247 -------------- ************************************* p = 137; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 379713286046093.9310 -------------- Searches starting with [137,919]-exponents: u = 18, v = 5 n_start has 54 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(137,919) = 0.7432119278957929013 D2(137,919) = 0.1104709266403245815 C1(137,919) = 0.9688950005074815239 C2(137,919) = 2.001078241845668167 C3(137,919) = 4.682091506469260490 C4(137,919) = 7352 Sum = 4120.374461985738214 Averaged sum = 0.4116669459472213222 logp*logq = 33.57043757345772959 -------------- ************************************* p = 137; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 400479878409234.8214 -------------- Searches starting with [137,929]-exponents: u = 25, v = 5 n_start has 69 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(137,929) = 0.8792131570234202737 D2(137,929) = 0.06434054090147360187 C1(137,929) = 1.314413050041255467 C2(137,929) = 1.957089349965369676 C3(137,929) = 8.119433854787152216 C4(137,929) = 7432 Sum = 2697.998731192389071 Averaged sum = 0.2695572715748215677 logp*logq = 33.62368463999938835 -------------- ************************************* p = 137; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 417736192208769.8482 -------------- Searches starting with [137,937]-exponents: u = 25, v = 5 n_start has 69 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(137,937) = 0.8545105464094168511 D2(137,937) = 0.03151976349643560659 C1(137,937) = 1.138404857949077071 C2(137,937) = 1.925965027025137679 C3(137,937) = 6.133869299323042772 C4(137,937) = 7496 Sum = 4524.304549919011598 Averaged sum = 0.4520236337215517632 logp*logq = 33.66587123009602498 -------------- ************************************* p = 137; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 426583672207715.8884 -------------- Searches starting with [137,941]-exponents: u = 32, v = 5 n_start has 84 digits starting right neighbors generation We generated 477 left neighbors We generated 9533 right neighbors We generated 10009 non-negative rho_i D1(137,941) = 0.8365807441050642786 D2(137,941) = 0.01618700066947308169 C1(137,941) = 1.097020516933375627 C2(137,941) = 1.911474999074639482 C3(137,941) = 5.742461176117574406 C4(137,941) = 7528 Sum = 4166.050395167932883 Averaged sum = 0.4162304321278781979 logp*logq = 33.68682964698980442 -------------- ************************************* p = 137; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 440134209301303.2130 -------------- Searches starting with [137,947]-exponents: u = 39, v = 5 n_start has 99 digits starting right neighbors generation We generated 594 left neighbors We generated 9416 right neighbors We generated 10009 non-negative rho_i D1(137,947) = 0.8231453906374261416 D2(137,947) = 0.07035250904894797901 C1(137,947) = 1.181136195269935517 C2(137,947) = 1.864030081500137301 C3(137,947) = 6.566032681807738940 C4(137,947) = 7576 Sum = 3112.162298999991590 Averaged sum = 0.3109363871515627525 logp*logq = 33.71810081747069017 -------------- ************************************* p = 137; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 454025502139167.1854 -------------- Searches starting with [137,953]-exponents: u = 46, v = 5 n_start has 114 digits starting right neighbors generation We generated 848 left neighbors We generated 9162 right neighbors We generated 10009 non-negative rho_i D1(137,953) = 0.8991324141883112832 D2(137,953) = 0.03256618134117319914 C1(137,953) = 1.186990261102435926 C2(137,953) = 1.827449380966370243 C3(137,953) = 6.627562614595645857 C4(137,953) = 7624 Sum = 4375.896872689523826 Averaged sum = 0.4371962106793409757 logp*logq = 33.74917448450500520 -------------- ************************************* p = 137; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 487799451847855.0479 -------------- Searches starting with [137,967]-exponents: u = 95, v = 5 n_start has 218 digits starting right neighbors generation We generated 3297 left neighbors We generated 6713 right neighbors We generated 10009 non-negative rho_i D1(137,967) = 0.6152737022899625142 D2(137,967) = 0.009805203991715626154 C1(137,967) = 0.8272376642635560308 C2(137,967) = 1.677738335801454066 C3(137,967) = 3.736097509993059441 C4(137,967) = 7736 Sum = 4548.968170206663858 Averaged sum = 0.4544877780204479826 logp*logq = 33.82092547798660236 -------------- ************************************* p = 137; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 497807725791505.7960 -------------- Searches starting with [137,971]-exponents: u = 137, v = 5 n_start has 308 digits --- performed 5000 steps in the continued fraction search [137,971]-exponents: u = 54, v = 16 --- starting right neighbors generation We generated 6577 left neighbors We generated 3433 right neighbors We generated 10009 non-negative rho_i D1(137,971) = 0.7067322278504668885 D2(137,971) = 0.009876599412066626057 C1(137,971) = 0.9333087124116150477 C2(137,971) = 1.596251333197390859 C3(137,971) = 4.424003762795641901 C4(137,971) = 7768 Sum = 4691.722139760521661 Averaged sum = 0.4687503386712480428 logp*logq = 33.84123502561204943 -------------- ************************************* p = 137; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 513126239728727.0238 -------------- Searches starting with [137,977]-exponents: u = 389, v = 5 n_start has 847 digits --- performed 5000 steps in the continued fraction search [137,977]-exponents: u = 67, v = 222 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,977) = 0.5573625246146350900 D2(137,977) = 0.2978899441000908455 C1(137,977) = 0.7062744872229881238 C2(137,977) = 1.493903747344992493 C3(137,977) = 3.081173180543478422 C4(137,977) = 7816 Sum = 5341.252647672975390 Averaged sum = 0.5341786826355610951 logp*logq = 33.87154301216881829 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,977) = 0.5573625246146350900 D2(137,977) = 0.2978899441000908455 C1(137,977) = 0.7062744872229881238 C2(137,977) = 1.493903747344992493 C3(137,977) = 3.081173180543478422 C4(137,977) = 7816 Sum = 5341.252647672975390 Averaged sum = 0.5341786826355610951 logp*logq = 33.87154301216881829 -------------- ************************************* p = 137; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 528817997483004.0480 -------------- Searches starting with [137,983]-exponents: u = 7, v = 372 n_start has 1129 digits --- performed 5000 steps in the continued fraction search [137,983]-exponents: u = 422, v = 66 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,983) = 0.7213561434099231671 D2(137,983) = 0.3646976418346096441 C1(137,983) = 0.9050815706150833497 C2(137,983) = 1.512195485285208831 C3(137,983) = 4.229444575371413861 C4(137,983) = 7864 Sum = 5507.858708468110021 Averaged sum = 0.5508409549423052326 logp*logq = 33.90166543846137773 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(137,983) = 0.7213561434099231671 D2(137,983) = 0.3646976418346096441 C1(137,983) = 0.9050815706150833497 C2(137,983) = 1.512195485285208831 C3(137,983) = 4.229444575371413861 C4(137,983) = 7864 Sum = 5507.858708468110021 Averaged sum = 0.5508409549423052326 logp*logq = 33.90166543846137773 -------------- ************************************* p = 137; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 550332590634912.7480 -------------- Searches starting with [137,991]-exponents: u = 7, v = 87 n_start has 276 digits starting right neighbors generation We generated 5126 left neighbors We generated 4884 right neighbors We generated 10009 non-negative rho_i D1(137,991) = 0.8478247885178662320 D2(137,991) = 0.01931582158645580116 C1(137,991) = 1.125786789643285566 C2(137,991) = 1.614817978903415815 C3(137,991) = 6.011782724510309649 C4(137,991) = 7928 Sum = 4753.638262358437500 Averaged sum = 0.4749363834907021181 logp*logq = 33.94154392163679596 -------------- ************************************* p = 137; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 566921570133630.5832 -------------- Searches starting with [137,997]-exponents: u = 7, v = 57 n_start has 186 digits starting right neighbors generation We generated 2290 left neighbors We generated 7720 right neighbors We generated 10009 non-negative rho_i D1(137,997) = 0.5979934119272879736 D2(137,997) = 0.03053951820701260337 C1(137,997) = 0.8154272746752225791 C2(137,997) = 1.712172055426204528 C3(137,997) = 3.666450659827839259 C4(137,997) = 7976 Sum = 3893.117604024069022 Averaged sum = 0.3889616948770175863 logp*logq = 33.97124208580930371 -------------- ************************************* p = 139; q = 149; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52909175436.40498935 -------------- Searches starting with [139,149]-exponents: u = 1, v = 71 n_start has 157 digits starting right neighbors generation We generated 747 left neighbors We generated 9263 right neighbors We generated 10009 non-negative rho_i D1(139,149) = 1.063602905395638125 D2(139,149) = 0.02380548614494954543 C1(139,149) = 1.460588330748442296 C2(139,149) = 1.258412745863503447 C3(139,149) = 10.29294161248932240 C4(139,149) = 1192 Sum = 4178.464388029418221 Averaged sum = 0.4174707151592984535 logp*logq = 24.69184260947348558 -------------- ************************************* p = 139; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56507350839.23857418 -------------- Searches starting with [139,151]-exponents: u = 1, v = 59 n_start has 131 digits starting right neighbors generation We generated 512 left neighbors We generated 9498 right neighbors We generated 10009 non-negative rho_i D1(139,151) = 0.6553736236031994397 D2(139,151) = 0.02401467090187190560 C1(139,151) = 0.8735113960206655423 C2(139,151) = 1.299455626892630182 C3(139,151) = 4.032308865115516058 C4(139,151) = 1208 Sum = 4918.392138540647876 Averaged sum = 0.4913969565931309697 logp*logq = 24.75763656998545496 -------------- ************************************* p = 139; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68487228939.45438300 -------------- Searches starting with [139,157]-exponents: u = 1, v = 40 n_start has 90 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(139,157) = 0.8667888877004890865 D2(139,157) = 0.008078604648900883345 C1(139,157) = 1.179905522827472374 C2(139,157) = 1.386696357403521073 C3(139,157) = 6.575953269259495051 C4(139,157) = 1256 Sum = 5108.184105266962746 Averaged sum = 0.5103590873480829999 logp*logq = 24.94991312599262774 -------------- ************************************* p = 139; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82410408922.60668037 -------------- Searches starting with [139,163]-exponents: u = 1, v = 30 n_start has 69 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(139,163) = 1.141434438295110371 D2(139,163) = 0.02477381584573102304 C1(139,163) = 1.667155464118965867 C2(139,163) = 1.481599265299710143 C3(139,163) = 14.31331688201815212 C4(139,163) = 1304 Sum = 5791.833244788126172 Averaged sum = 0.5786625282034295306 logp*logq = 25.13497758776019547 -------------- ************************************* p = 139; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92883054219.41058232 -------------- Searches starting with [139,167]-exponents: u = 1, v = 26 n_start has 60 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(139,167) = 0.7860426331855993890 D2(139,167) = 0.07445910628849172783 C1(139,167) = 1.162585387000142440 C2(139,167) = 1.570553493778846310 C3(139,167) = 6.396636803313837788 C4(139,167) = 1336 Sum = 4342.915474189058652 Averaged sum = 0.4339010364860684036 logp*logq = 25.25460705729464941 -------------- ************************************* p = 139; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110555450096.8830323 -------------- Searches starting with [139,173]-exponents: u = 1, v = 22 n_start has 52 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(139,173) = 0.6974793743761522730 D2(139,173) = 0.06281574308615220390 C1(139,173) = 0.9866569456602975974 C2(139,173) = 1.623152106357507339 C3(139,173) = 4.830486899892779576 C4(139,173) = 1384 Sum = 4317.777080008013357 Averaged sum = 0.4313894574890611807 logp*logq = 25.42878304287078917 -------------- ************************************* p = 139; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130811087606.8433216 -------------- Searches starting with [139,179]-exponents: u = 1, v = 19 n_start has 45 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(139,179) = 0.9833673866695859182 D2(139,179) = 0.02677669740586987003 C1(139,179) = 1.406062179426214645 C2(139,179) = 1.649037991287531921 C3(139,179) = 9.434953263926797707 C4(139,179) = 1432 Sum = 4763.827374354016006 Averaged sum = 0.4759543784947563199 logp*logq = 25.59702004001335324 -------------- ************************************* p = 139; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138183464524.3724105 -------------- Searches starting with [139,181]-exponents: u = 1, v = 18 n_start has 43 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(139,181) = 0.7052166997865452211 D2(139,181) = 0.1285117411960326814 C1(139,181) = 0.9812942566318728455 C2(139,181) = 1.752477813627414012 C3(139,181) = 4.789313581432978443 C4(139,181) = 1448 Sum = 4333.813010446445868 Averaged sum = 0.4329916085969073701 logp*logq = 25.65184809223850385 -------------- ************************************* p = 139; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180177140962.7262191 -------------- Searches starting with [139,191]-exponents: u = 1, v = 15 n_start has 37 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(139,191) = 0.7965158086409528115 D2(139,191) = 0.1094984380512095125 C1(139,191) = 1.160156823591312430 C2(139,191) = 1.815453640040511338 C3(139,191) = 6.371887700352057864 C4(139,191) = 1528 Sum = 3981.731563601309241 Averaged sum = 0.3978151227496562335 logp*logq = 25.91720632037107506 -------------- ************************************* p = 139; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189680621504.6535274 -------------- Searches starting with [139,193]-exponents: u = 1, v = 15 n_start has 37 digits starting right neighbors generation We generated 61 left neighbors We generated 9949 right neighbors We generated 10009 non-negative rho_i D1(139,193) = 1.026288202172085323 D2(139,193) = 0.01221973968325902079 C1(139,193) = 1.617177340714764771 C2(139,193) = 1.749759061606241605 C3(139,193) = 13.21579851913960184 C4(139,193) = 1544 Sum = 2827.920439445718609 Averaged sum = 0.2825377599606073143 logp*logq = 25.96860755529379380 -------------- ************************************* p = 139; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 209886151066.7079916 -------------- Searches starting with [139,197]-exponents: u = 1, v = 14 n_start has 35 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(139,197) = 0.6797448576772823990 D2(139,197) = 0.1400723063989209457 C1(139,197) = 1.080521441497666990 C2(139,197) = 1.320010770332495786 C3(139,197) = 5.611275763047148872 C4(139,197) = 1576 Sum = 4664.569979099814083 Averaged sum = 0.4660375641022893479 logp*logq = 26.06983108287647845 -------------- ************************************* p = 139; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220612736477.4976561 -------------- Searches starting with [139,199]-exponents: u = 1, v = 13 n_start has 33 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(139,199) = 1.078594373560224923 D2(139,199) = 0.03222020214438689536 C1(139,199) = 1.500835796832019656 C2(139,199) = 1.808208104066601280 C3(139,199) = 10.97591404161497310 C4(139,199) = 1592 Sum = 4677.734860849841576 Averaged sum = 0.4673528685033311596 logp*logq = 26.11967467771793294 -------------- ************************************* p = 139; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294517556673.4522939 -------------- Searches starting with [139,211]-exponents: u = 1, v = 11 n_start has 28 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(139,211) = 0.6163013713783778069 D2(139,211) = 0.1392181223385898104 C1(139,211) = 0.9998444764025773645 C2(139,211) = 1.711974731657739541 C3(139,211) = 4.933249082623267087 C4(139,211) = 1688 Sum = 4664.021003520075263 Averaged sum = 0.4659827159076906047 logp*logq = 26.40860445345112855 -------------- ************************************* p = 139; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 386944906056.2509206 -------------- Searches starting with [139,223]-exponents: u = 1, v = 10 n_start has 26 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(139,223) = 0.6012328027826792052 D2(139,223) = 0.006712463500521008572 C1(139,223) = 0.8083032700863851365 C2(139,223) = 1.933793084120217294 C3(139,223) = 3.633698196788471511 C4(139,223) = 1784 Sum = 4585.983393842110847 Averaged sum = 0.4581859720094026223 logp*logq = 26.68154815823006214 -------------- ************************************* p = 139; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 422423604565.9877062 -------------- Searches starting with [139,227]-exponents: u = 1, v = 10 n_start has 26 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(139,227) = 0.8767226876968698094 D2(139,227) = 0.06701489268813716455 C1(139,227) = 1.460478284181249525 C2(139,227) = 1.167135566566866464 C3(139,227) = 10.29113369874865115 C4(139,227) = 1816 Sum = 4522.790067167932705 Averaged sum = 0.4518723216273286747 logp*logq = 26.76927444979887206 -------------- ************************************* p = 139; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 441109767103.0259021 -------------- Searches starting with [139,229]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(139,229) = 0.7055463766975518254 D2(139,229) = 0.09569720351949118238 C1(139,229) = 1.175218944302757913 C2(139,229) = 1.315472466023976220 C3(139,229) = 6.526942557932123006 C4(139,229) = 1832 Sum = 4671.866860622813506 Averaged sum = 0.4667665961257681593 logp*logq = 26.81255958641707157 -------------- ************************************* p = 139; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 480458723102.1454240 -------------- Searches starting with [139,233]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(139,233) = 0.6896626224963903928 D2(139,233) = 0.08631310564152073851 C1(139,233) = 0.9314063664840220844 C2(139,233) = 1.747902466758739760 C3(139,233) = 4.422714952858340489 C4(139,233) = 1864 Sum = 4402.148950573275241 Averaged sum = 0.4398190579052128325 logp*logq = 26.89800715761298613 -------------- ************************************* p = 139; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 544681274304.0845985 -------------- Searches starting with [139,239]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(139,239) = 0.7296399518713505076 D2(139,239) = 0.05266577981872543806 C1(139,239) = 1.235708275901177629 C2(139,239) = 2.051634773860865337 C3(139,239) = 7.188585901447038660 C4(139,239) = 1912 Sum = 4649.738506125128891 Averaged sum = 0.4645557504371194816 logp*logq = 27.02346664274635983 -------------- ************************************* p = 139; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 567545918579.3237850 -------------- Searches starting with [139,241]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(139,241) = 1.021941726128755117 D2(139,241) = 0.04850938560687639549 C1(139,241) = 1.730393486310298288 C2(139,241) = 1.086185926818269856 C3(139,241) = 15.83359262707889405 C4(139,241) = 1928 Sum = 4423.141022254463441 Averaged sum = 0.4419163774857092058 logp*logq = 27.06458749682478952 -------------- ************************************* p = 139; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 693629294449.3714333 -------------- Searches starting with [139,251]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(139,251) = 0.8078714631315894214 D2(139,251) = 0.04454833575252849885 C1(139,251) = 1.054389312589133439 C2(139,251) = 1.613180333421011213 C3(139,251) = 5.382025522039908383 C4(139,251) = 2008 Sum = 4221.347399786608941 Averaged sum = 0.4217551603343599701 logp*logq = 27.26520349688615439 -------------- ************************************* p = 139; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 779385241439.5376915 -------------- Searches starting with [139,257]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(139,257) = 1.061882424738622248 D2(139,257) = 0.02229872834024491371 C1(139,257) = 1.833461483878404920 C2(139,257) = 1.060866163420266611 C3(139,257) = 18.66510400498875463 C4(139,257) = 2056 Sum = 4285.898647471926682 Averaged sum = 0.4282044807145495736 logp*logq = 27.38177129387437563 -------------- ************************************* p = 139; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 873390694123.1376336 -------------- Searches starting with [139,263]-exponents: u = 9, v = 7 n_start has 37 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(139,263) = 0.6765286608435321611 D2(139,263) = 0.02662318136929064548 C1(139,263) = 0.9802700094010370120 C2(139,263) = 1.810541153658517623 C3(139,263) = 4.781489687830597608 C4(139,263) = 2104 Sum = 4259.229510852181605 Averaged sum = 0.4255399651166132086 logp*logq = 27.49564882317025700 -------------- ************************************* p = 139; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 976223571253.9135622 -------------- Searches starting with [139,269]-exponents: u = 17, v = 7 n_start has 54 digits starting right neighbors generation We generated 221 left neighbors We generated 9789 right neighbors We generated 10009 non-negative rho_i D1(139,269) = 0.9965394968580917483 D2(139,269) = 0.01418105505224811706 C1(139,269) = 1.309587356566455669 C2(139,269) = 1.639941827424222704 C3(139,269) = 8.088341215300863564 C4(139,269) = 2152 Sum = 4519.731638154276391 Averaged sum = 0.4515667537370642812 logp*logq = 27.60695746603492565 -------------- ************************************* p = 139; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1012566478887.028607 -------------- Searches starting with [139,271]-exponents: u = 17, v = 7 n_start has 54 digits starting right neighbors generation We generated 221 left neighbors We generated 9789 right neighbors We generated 10009 non-negative rho_i D1(139,271) = 0.6514976349236767907 D2(139,271) = 0.01094466904314335476 C1(139,271) = 0.9297326434427407376 C2(139,271) = 1.637979015442936762 C3(139,271) = 4.410914671360033413 C4(139,271) = 2168 Sum = 4287.908334090374218 Averaged sum = 0.4284052686672369086 logp*logq = 27.64350929193173097 -------------- ************************************* p = 139; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1128113386333.793042 -------------- Searches starting with [139,277]-exponents: u = 49, v = 7 n_start has 123 digits starting right neighbors generation We generated 715 left neighbors We generated 9295 right neighbors We generated 10009 non-negative rho_i D1(139,277) = 0.6185195417439218200 D2(139,277) = 0.001289641802532894576 C1(139,277) = 0.8302340529679859910 C2(139,277) = 1.377240003716735583 C3(139,277) = 3.763155531737268946 C4(139,277) = 2216 Sum = 4431.081132802253594 Averaged sum = 0.4427096745731095608 logp*logq = 27.75156778375210077 -------------- ************************************* p = 139; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1210814199714.975338 -------------- Searches starting with [139,281]-exponents: u = 769, v = 7 n_start has 1666 digits --- performed 5000 steps in the continued fraction search [139,281]-exponents: u = 28, v = 649 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,281) = 0.7403052775572040104 D2(139,281) = 0.4945827309919066677 C1(139,281) = 0.9181372130225109522 C2(139,281) = 1.431373907743296079 C3(139,281) = 4.330023270323970496 C4(139,281) = 2248 Sum = 5964.488468293305868 Averaged sum = 0.5965084976790984966 logp*logq = 27.82231414157308943 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,281) = 0.7403052775572040104 D2(139,281) = 0.4945827309919066677 C1(139,281) = 0.9181372130225109522 C2(139,281) = 1.431373907743296079 C3(139,281) = 4.330023270323970496 C4(139,281) = 2248 Sum = 5964.488468293305868 Averaged sum = 0.5965084976790984966 logp*logq = 27.82231414157308943 -------------- ************************************* p = 139; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1253938554445.587845 -------------- Searches starting with [139,283]-exponents: u = 8, v = 111 n_start has 290 digits starting right neighbors generation We generated 2967 left neighbors We generated 7043 right neighbors We generated 10009 non-negative rho_i D1(139,283) = 0.7547963375783592036 D2(139,283) = 0.007654802001210668534 C1(139,283) = 1.224529076170565522 C2(139,283) = 1.198929742213178214 C3(139,283) = 7.061445128907871242 C4(139,283) = 2264 Sum = 4788.717063359414426 Averaged sum = 0.4784411093375376587 logp*logq = 27.85731055729408857 -------------- ************************************* p = 139; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1488311951031.716729 -------------- Searches starting with [139,293]-exponents: u = 8, v = 13 n_start has 50 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(139,293) = 0.6467390445659936066 D2(139,293) = 0.1159285996358034437 C1(139,293) = 0.8714041247771955928 C2(139,293) = 1.791203562409972272 C3(139,293) = 4.018768079777894495 C4(139,293) = 2344 Sum = 4597.360890823470004 Averaged sum = 0.4593226986535587975 logp*logq = 28.02866367487767111 -------------- ************************************* p = 139; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1873783808589.902385 -------------- Searches starting with [139,307]-exponents: u = 29, v = 6 n_start has 78 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(139,307) = 0.5665326253201773601 D2(139,307) = 0.03691636888078609997 C1(139,307) = 0.7831753645167406511 C2(139,307) = 1.740574768046717402 C3(139,307) = 3.490833720903082135 C4(139,307) = 2456 Sum = 4524.434968383569367 Averaged sum = 0.4520366638409001266 logp*logq = 28.25898092947723979 -------------- ************************************* p = 139; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1997382135256.966774 -------------- Searches starting with [139,311]-exponents: u = 50, v = 6 n_start has 123 digits starting right neighbors generation We generated 1260 left neighbors We generated 8750 right neighbors We generated 10009 non-negative rho_i D1(139,311) = 0.7414835406549825576 D2(139,311) = 0.04000406537055805090 C1(139,311) = 1.034234210613304890 C2(139,311) = 1.640585819219994280 C3(139,311) = 5.211628047748052873 C4(139,311) = 2488 Sum = 4776.496792970742083 Averaged sum = 0.4772201811340535601 logp*logq = 28.32285850671673268 -------------- ************************************* p = 139; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2061571883901.738893 -------------- Searches starting with [139,313]-exponents: u = 85, v = 6 n_start has 198 digits starting right neighbors generation We generated 3530 left neighbors We generated 6480 right neighbors We generated 10009 non-negative rho_i D1(139,313) = 0.6254662853083112866 D2(139,313) = 0.003955130732280658807 C1(139,313) = 0.8462657683199527178 C2(139,313) = 1.605769644015122326 C3(139,313) = 3.860699579231191663 C4(139,313) = 2504 Sum = 4715.307273002459048 Averaged sum = 0.4711067312421279896 logp*logq = 28.35448985819279963 -------------- ************************************* p = 139; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2194884818645.225105 -------------- Searches starting with [139,317]-exponents: u = 7, v = 407 n_start has 1033 digits **************************************************** Computing .... elapsed time = 19 minutes **************************************************** --- performed 5000 steps in the continued fraction search [139,317]-exponents: u = 165, v = 261 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,317) = 0.7947032910447281527 D2(139,317) = 0.3833130935621975188 C1(139,317) = 1.000524708253058203 C2(139,317) = 1.397996497546530913 C3(139,317) = 4.938608599599895822 C4(139,317) = 2536 Sum = 5685.148694507433537 Averaged sum = 0.5685717266234056943 logp*logq = 28.41715068665754252 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,317) = 0.7947032910447281527 D2(139,317) = 0.3833130935621975188 C1(139,317) = 1.000524708253058203 C2(139,317) = 1.397996497546530913 C3(139,317) = 4.938608599599895822 C4(139,317) = 2536 Sum = 5685.148694507433537 Averaged sum = 0.5685717266234056943 logp*logq = 28.41715068665754252 -------------- ************************************* p = 139; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2716599092389.289679 -------------- Searches starting with [139,331]-exponents: u = 7, v = 17 n_start has 58 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(139,331) = 0.8779951384615979616 D2(139,331) = 0.04249315559988478426 C1(139,331) = 1.177919731716953845 C2(139,331) = 1.682636856761749194 C3(139,331) = 6.555141740328175354 C4(139,331) = 2648 Sum = 4505.532886814607991 Averaged sum = 0.4501481553416533111 logp*logq = 28.63040188023671497 -------------- ************************************* p = 139; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2968409811884.996971 -------------- Searches starting with [139,337]-exponents: u = 7, v = 11 n_start has 43 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(139,337) = 1.099356696112781164 D2(139,337) = 0.09306802287096281506 C1(139,337) = 1.557704398236478953 C2(139,337) = 1.858266158307354979 C3(139,337) = 12.01888930411976816 C4(139,337) = 2696 Sum = 5428.619781265115846 Averaged sum = 0.5423738416690094760 logp*logq = 28.71904750848262030 -------------- ************************************* p = 139; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3429174415904.780039 -------------- Searches starting with [139,347]-exponents: u = 13, v = 5 n_start has 41 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(139,347) = 0.6993112713510728889 D2(139,347) = 0.06781651811797452052 C1(139,347) = 1.021399537317531333 C2(139,347) = 1.864035376479965975 C3(139,347) = 5.105942182649038837 C4(139,347) = 2776 Sum = 4151.362888505344593 Averaged sum = 0.4147630021486007187 logp*logq = 28.86334065306319634 -------------- ************************************* p = 139; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3527814864732.363747 -------------- Searches starting with [139,349]-exponents: u = 13, v = 5 n_start has 41 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(139,349) = 0.9550959792845729754 D2(139,349) = 0.04987279700572394278 C1(139,349) = 1.255864902749763380 C2(139,349) = 1.847280343342465491 C3(139,349) = 7.423639332431928962 C4(139,349) = 2792 Sum = 4236.814971976230092 Averaged sum = 0.4233005267235717946 logp*logq = 28.89169977671329042 -------------- ************************************* p = 139; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3731881725716.366965 -------------- Searches starting with [139,353]-exponents: u = 19, v = 5 n_start has 54 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(139,353) = 0.8006870005649403095 D2(139,353) = 0.01645112832159627786 C1(139,353) = 1.074203735997973206 C2(139,353) = 1.816215400367200556 C3(139,353) = 5.554972595971873325 C4(139,353) = 2824 Sum = 4656.089855246204366 Averaged sum = 0.4651903142418028140 logp*logq = 28.94793370648121184 -------------- ************************************* p = 139; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4055523788589.704535 -------------- Searches starting with [139,359]-exponents: u = 25, v = 5 n_start has 67 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(139,359) = 1.206593349280883244 D2(139,359) = 0.05661970543809091951 C1(139,359) = 1.767465665936673439 C2(139,359) = 1.743055351321409065 C3(139,359) = 16.79884475812931271 C4(139,359) = 2872 Sum = 5433.159421070689907 Averaged sum = 0.5428273974493645626 logp*logq = 29.03110096619961311 -------------- ************************************* p = 139; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4521451131000.543518 -------------- Searches starting with [139,367]-exponents: u = 73, v = 5 n_start has 170 digits starting right neighbors generation We generated 2304 left neighbors We generated 7706 right neighbors We generated 10009 non-negative rho_i D1(139,367) = 0.7735163460914005463 D2(139,367) = 0.01684402428317489291 C1(139,367) = 1.061299611019052291 C2(139,367) = 1.568650086548716593 C3(139,367) = 5.441720782175169501 C4(139,367) = 2936 Sum = 4108.382303955187648 Averaged sum = 0.4104688084678976569 logp*logq = 29.13985410492976588 -------------- ************************************* p = 139; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4898128722420.184949 -------------- Searches starting with [139,373]-exponents: u = 6, v = 4704 n_start has 12111 digits --- performed 5000 steps in the continued fraction search [139,373]-exponents: u = 1751, v = 3249 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,373) = 0.7493522780301520055 D2(139,373) = 0.6701819388758248274 C1(139,373) = 0.8878079159943846405 C2(139,373) = 1.451849569205773773 C3(139,373) = 4.125387253766338609 C4(139,373) = 2984 Sum = 6702.063677084469939 Averaged sum = 0.6702733950479517891 logp*logq = 29.21987435472164442 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,373) = 0.7493522780301520055 D2(139,373) = 0.6701819388758248274 C1(139,373) = 0.8878079159943846405 C2(139,373) = 1.451849569205773773 C3(139,373) = 4.125387253766338609 C4(139,373) = 2984 Sum = 6702.063677084469939 Averaged sum = 0.6702733950479517891 logp*logq = 29.21987435472164442 -------------- ************************************* p = 139; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5299415413157.550442 -------------- Searches starting with [139,379]-exponents: u = 6, v = 59 n_start has 165 digits starting right neighbors generation We generated 2212 left neighbors We generated 7798 right neighbors We generated 10009 non-negative rho_i D1(139,379) = 0.6377475959450235663 D2(139,379) = 0.005322228233785347120 C1(139,379) = 0.8414615942024238884 C2(139,379) = 1.582577210170231047 C3(139,379) = 3.831206478972080144 C4(139,379) = 3032 Sum = 4256.875606409706632 Averaged sum = 0.4253047863332707196 logp*logq = 29.29861763099896197 -------------- ************************************* p = 139; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5581192657917.984403 -------------- Searches starting with [139,383]-exponents: u = 6, v = 34 n_start has 101 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(139,383) = 0.5915352512520282466 D2(139,383) = 0.03402002189094479167 C1(139,383) = 0.8024304877244419635 C2(139,383) = 1.678722567455379468 C3(139,383) = 3.599793601514592311 C4(139,383) = 3064 Sum = 4560.748891509597695 Averaged sum = 0.4556647908392044855 logp*logq = 29.35042360746119381 -------------- ************************************* p = 139; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6026134155952.296870 -------------- Searches starting with [139,389]-exponents: u = 6, v = 19 n_start has 63 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(139,389) = 0.9028313950355359856 D2(139,389) = 0.03899421070848419152 C1(139,389) = 1.168698414986179913 C2(139,389) = 1.777303772218979148 C3(139,389) = 6.459360051464940149 C4(139,389) = 3112 Sum = 4022.529243232158982 Averaged sum = 0.4018912222232150046 logp*logq = 29.42712681924186379 -------------- ************************************* p = 139; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6662911016609.078163 -------------- Searches starting with [139,397]-exponents: u = 6, v = 14 n_start has 50 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(139,397) = 0.6918594830304484511 D2(139,397) = 0.1380621274936363361 C1(139,397) = 0.9650188716508577167 C2(139,397) = 1.879797856866703411 C3(139,397) = 4.666491849655813167 C4(139,397) = 3176 Sum = 4445.670254244974652 Averaged sum = 0.4441672748771080679 logp*logq = 29.52757759456596357 -------------- ************************************* p = 139; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7000806126172.216274 -------------- Searches starting with [139,401]-exponents: u = 6, v = 9 n_start has 37 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(139,401) = 0.7928545248507675455 D2(139,401) = 0.1331871970639312487 C1(139,401) = 1.239552589603332063 C2(139,401) = 1.293739156188598981 C3(139,401) = 7.232834072662305379 C4(139,401) = 3208 Sum = 4282.144814753703706 Averaged sum = 0.4278294349838848742 logp*logq = 29.57704641923510140 -------------- ************************************* p = 139; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7717570117228.348924 -------------- Searches starting with [139,409]-exponents: u = 6, v = 9 n_start has 37 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(139,409) = 0.9853027152065130816 D2(139,409) = 0.03672772257783270203 C1(139,409) = 1.414611193153301715 C2(139,409) = 1.924357687761582879 C3(139,409) = 9.564588254595536733 C4(139,409) = 3272 Sum = 4847.063573986011054 Averaged sum = 0.4842705139360586526 logp*logq = 29.67452067876617565 -------------- ************************************* p = 139; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8694542674406.887227 -------------- Searches starting with [139,419]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(139,419) = 0.7468366006484073762 D2(139,419) = 0.05581208527492825535 C1(139,419) = 0.9724828275332495394 C2(139,419) = 1.983223319713685428 C3(139,419) = 4.722422406624610929 C4(139,419) = 3352 Sum = 4070.616984889784999 Averaged sum = 0.4066956723838330501 logp*logq = 29.79371666596361898 -------------- ************************************* p = 139; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8901262221803.941811 -------------- Searches starting with [139,421]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(139,421) = 0.6806812520403361088 D2(139,421) = 0.04319257302151472806 C1(139,421) = 0.9460557840676292920 C2(139,421) = 1.971637538196117139 C3(139,421) = 4.527354736086559075 C4(139,421) = 3368 Sum = 4509.012672606313987 Averaged sum = 0.4504958210217118580 logp*logq = 29.81721420528535781 -------------- ************************************* p = 139; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9994461906565.917652 -------------- Searches starting with [139,431]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(139,431) = 0.6593173709125868548 D2(139,431) = 0.1427111713606870693 C1(139,431) = 0.8741952077251780041 C2(139,431) = 1.837881248006506974 C3(139,431) = 4.036712661250254029 C4(139,431) = 3448 Sum = 4283.061112795795494 Averaged sum = 0.4279209823954236680 logp*logq = 29.93305224617014905 -------------- ************************************* p = 139; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10225411624289.08654 -------------- Searches starting with [139,433]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(139,433) = 0.7843129817447700803 D2(139,433) = 0.1224630281811229593 C1(139,433) = 1.235926862144566508 C2(139,433) = 1.303927117881925363 C3(139,433) = 7.191094562008404956 C4(139,433) = 3464 Sum = 4343.301304671429783 Averaged sum = 0.4339395848407862707 logp*logq = 29.95589707370132569 -------------- ************************************* p = 139; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10943904493876.30972 -------------- Searches starting with [139,439]-exponents: u = 16, v = 4 n_start has 45 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(139,439) = 0.6230556461222379172 D2(139,439) = 0.1063113179400237759 C1(139,439) = 0.8180713052919500802 C2(139,439) = 1.910606561347767335 C3(139,439) = 3.690799511805606269 C4(139,439) = 3512 Sum = 4302.471280685118992 Averaged sum = 0.4298602538400558489 logp*logq = 30.02380374996842631 -------------- ************************************* p = 139; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11444852596992.50992 -------------- Searches starting with [139,443]-exponents: u = 16, v = 4 n_start has 45 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(139,443) = 0.9746670473399932619 D2(139,443) = 0.06187851538788898204 C1(139,443) = 1.273004159062207261 C2(139,443) = 1.868060676119060978 C3(139,443) = 7.629542505225887182 C4(139,443) = 3544 Sum = 4402.794289990922148 Averaged sum = 0.4398835338186554249 logp*logq = 30.06856119000090538 -------------- ************************************* p = 139; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12230393604045.08898 -------------- Searches starting with [139,449]-exponents: u = 21, v = 4 n_start has 56 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(139,449) = 1.489080327221172344 D2(139,449) = 0.004064448471332718287 C1(139,449) = 1.981371993970052350 C2(139,449) = 1.813044888701188508 C3(139,449) = 23.63567574505917434 C4(139,449) = 3592 Sum = 5078.168673770432745 Averaged sum = 0.5073602431582008937 logp*logq = 30.13494524859667658 -------------- ************************************* p = 139; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13344034420905.86020 -------------- Searches starting with [139,457]-exponents: u = 31, v = 4 n_start has 78 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(139,457) = 0.7078793405308954853 D2(139,457) = 0.01013593991584938204 C1(139,457) = 1.023210289217918999 C2(139,457) = 1.732708440150573018 C3(139,457) = 5.120721775752861316 C4(139,457) = 3656 Sum = 4133.729897578109021 Averaged sum = 0.4130012885980726367 logp*logq = 30.22209054104594828 -------------- ************************************* p = 139; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13930374178219.02892 -------------- Searches starting with [139,461]-exponents: u = 41, v = 4 n_start has 99 digits starting right neighbors generation We generated 642 left neighbors We generated 9368 right neighbors We generated 10009 non-negative rho_i D1(139,461) = 0.6882972408620399402 D2(139,461) = 0.02043271026714720852 C1(139,461) = 0.9129633439785978243 C2(139,461) = 1.678202410295469502 C3(139,461) = 4.294409875996146933 C4(139,461) = 3688 Sum = 4530.268980116723770 Averaged sum = 0.4526195404252896164 logp*logq = 30.26509276468175989 -------------- ************************************* p = 139; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14231147397342.29166 -------------- Searches starting with [139,463]-exponents: u = 46, v = 4 n_start has 110 digits starting right neighbors generation We generated 731 left neighbors We generated 9279 right neighbors We generated 10009 non-negative rho_i D1(139,463) = 0.8089414873567489942 D2(139,463) = 0.04005687399736112480 C1(139,463) = 1.137360043066749363 C2(139,463) = 1.646642165449654775 C3(139,463) = 6.144187400056682324 C4(139,463) = 3704 Sum = 4855.132675692024696 Averaged sum = 0.4850766985405160052 logp*logq = 30.28645415705955351 -------------- ************************************* p = 139; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14848225905624.08369 -------------- Searches starting with [139,467]-exponents: u = 66, v = 4 n_start has 153 digits starting right neighbors generation We generated 1597 left neighbors We generated 8413 right neighbors We generated 10009 non-negative rho_i D1(139,467) = 0.8492141957940429787 D2(139,467) = 0.001376041419798183322 C1(139,467) = 1.167220967694726279 C2(139,467) = 1.567284189674368663 C3(139,467) = 6.444144443248962804 C4(139,467) = 3736 Sum = 5133.650605045123271 Averaged sum = 0.5129034474018506614 logp*logq = 30.32890150640568870 -------------- ************************************* p = 139; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16828512241252.89678 -------------- Searches starting with [139,479]-exponents: u = 5, v = 339 n_start has 920 digits --- performed 5000 steps in the continued fraction search [139,479]-exponents: u = 374, v = 32 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,479) = 0.5959204780182392006 D2(139,479) = 0.3008026863348056683 C1(139,479) = 0.7531565797281014438 C2(139,479) = 1.387618641216348231 C3(139,479) = 3.327506514328280445 C4(139,479) = 3832 Sum = 5533.066255143675188 Averaged sum = 0.5533619617105385727 logp*logq = 30.45409572101127891 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,479) = 0.5959204780182392006 D2(139,479) = 0.3008026863348056683 C1(139,479) = 0.7531565797281014438 C2(139,479) = 1.387618641216348231 C3(139,479) = 3.327506514328280445 C4(139,479) = 3832 Sum = 5533.066255143675188 Averaged sum = 0.5533619617105385727 logp*logq = 30.45409572101127891 -------------- ************************************* p = 139; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18261716805257.17020 -------------- Searches starting with [139,487]-exponents: u = 5, v = 59 n_start has 170 digits starting right neighbors generation We generated 1989 left neighbors We generated 8021 right neighbors We generated 10009 non-negative rho_i D1(139,487) = 0.7644627152038882886 D2(139,487) = 0.001567538902854695831 C1(139,487) = 1.007040527115762799 C2(139,487) = 1.554220319869522197 C3(139,487) = 4.990242380178426585 C4(139,487) = 3896 Sum = 4590.287767345216027 Averaged sum = 0.4586160223144386080 logp*logq = 30.53582800667889804 -------------- ************************************* p = 139; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19013911791167.30862 -------------- Searches starting with [139,491]-exponents: u = 5, v = 43 n_start has 127 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(139,491) = 0.7567716489245781704 D2(139,491) = 0.04565117388989118601 C1(139,491) = 1.059608218074877405 C2(139,491) = 1.637889434671562047 C3(139,491) = 5.427048608141849917 C4(139,491) = 3928 Sum = 3543.922881548262802 Averaged sum = 0.3540736218951206716 logp*logq = 30.57619202670280675 -------------- ************************************* p = 139; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20592392683143.22494 -------------- Searches starting with [139,499]-exponents: u = 5, v = 27 n_start has 84 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(139,499) = 0.6703813471540867739 D2(139,499) = 0.05595842587526671229 C1(139,499) = 0.9738531607578207253 C2(139,499) = 1.755322788330094156 C3(139,499) = 4.732763487412417804 C4(139,499) = 3992 Sum = 4037.580117104765332 Averaged sum = 0.4033949562498516667 logp*logq = 30.65594283629470731 -------------- ************************************* p = 139; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21419868526543.24715 -------------- Searches starting with [139,503]-exponents: u = 5, v = 23 n_start has 73 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(139,503) = 1.043237734230903893 D2(139,503) = 0.01614788845601023416 C1(139,503) = 1.347781592256526769 C2(139,503) = 1.792998953764203782 C3(139,503) = 8.596808822249159026 C4(139,503) = 4024 Sum = 3880.640472420593833 Averaged sum = 0.3877151036487754853 logp*logq = 30.69534004304617898 -------------- ************************************* p = 139; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22710586043985.51319 -------------- Searches starting with [139,509]-exponents: u = 5, v = 19 n_start has 63 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(139,509) = 0.9461341588351150350 D2(139,509) = 0.07889758235638325910 C1(139,509) = 1.421364158477719453 C2(139,509) = 1.857695834856454003 C3(139,509) = 9.668246405484367868 C4(139,509) = 4072 Sum = 2640.981870832842555 Averaged sum = 0.2638607124420863777 logp*logq = 30.75385227726063663 -------------- ************************************* p = 139; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25477976116859.65707 -------------- Searches starting with [139,521]-exponents: u = 5, v = 11 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(139,521) = 0.6230709871600047487 D2(139,521) = 0.03447314577613261308 C1(139,521) = 0.8563964357224264855 C2(139,521) = 1.924404198139545524 C3(139,521) = 3.923638622137613478 C4(139,521) = 4168 Sum = 4008.012423835677003 Averaged sum = 0.4004408456225074436 logp*logq = 30.86883551321322564 -------------- ************************************* p = 139; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25964246338166.39672 -------------- Searches starting with [139,523]-exponents: u = 5, v = 11 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(139,523) = 0.6795130394383417847 D2(139,523) = 0.04784081452493279222 C1(139,523) = 0.8999752797879918439 C2(139,523) = 1.938441075616801672 C3(139,523) = 4.206294112370529635 C4(139,523) = 4184 Sum = 4443.046016461562616 Averaged sum = 0.4439050870677952459 logp*logq = 30.88774156673641397 -------------- ************************************* p = 139; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30682494057169.89382 -------------- Searches starting with [139,541]-exponents: u = 14, v = 7 n_start has 50 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(139,541) = 0.7241566674724939777 D2(139,541) = 0.09286882296886127630 C1(139,541) = 0.9823307296427307100 C2(139,541) = 1.903578433422722463 C3(139,541) = 4.797243896173538953 C4(139,541) = 4328 Sum = 4427.726780437311150 Averaged sum = 0.4423745409568699321 logp*logq = 31.05471338173011940 -------------- ************************************* p = 139; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32398663190017.55125 -------------- Searches starting with [139,547]-exponents: u = 14, v = 7 n_start has 50 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(139,547) = 0.9193821197873055079 D2(139,547) = 0.06943360394544257435 C1(139,547) = 1.387446442625786615 C2(139,547) = 1.882273950715880784 C3(139,547) = 9.158715399827971489 C4(139,547) = 4376 Sum = 3557.392728563953152 Averaged sum = 0.3554193954005348338 logp*logq = 31.10913827830827302 -------------- ************************************* p = 139; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35428346596068.92653 -------------- Searches starting with [139,557]-exponents: u = 41, v = 7 n_start has 108 digits starting right neighbors generation We generated 618 left neighbors We generated 9392 right neighbors We generated 10009 non-negative rho_i D1(139,557) = 0.8936507171542539218 D2(139,557) = 0.02869391989213202137 C1(139,557) = 1.277778564368728943 C2(139,557) = 1.567810917775091954 C3(139,557) = 7.687910339467779474 C4(139,557) = 4456 Sum = 3490.446070955223739 Averaged sum = 0.3487307494210434348 logp*logq = 31.19853336693938098 -------------- ************************************* p = 139; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37351837992989.80093 -------------- Searches starting with [139,563]-exponents: u = 77, v = 7 n_start has 185 digits starting right neighbors generation We generated 1324 left neighbors We generated 8686 right neighbors We generated 10009 non-negative rho_i D1(139,563) = 0.7356524195166834501 D2(139,563) = 0.01093981258852606559 C1(139,563) = 0.9661863553802647772 C2(139,563) = 1.407894956406788857 C3(139,563) = 4.675196391662209046 C4(139,563) = 4504 Sum = 4490.238871906897380 Averaged sum = 0.4486201290745226676 logp*logq = 31.25140323628294292 -------------- ************************************* p = 139; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39357695499381.68854 -------------- Searches starting with [139,569]-exponents: u = 2039, v = 7 n_start has 4389 digits --- performed 5000 steps in the continued fraction search [139,569]-exponents: u = 2041, v = 3 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,569) = 0.6730585468444383395 D2(139,569) = 0.5717942440465544989 C1(139,569) = 0.8140204285203644746 C2(139,569) = 1.485411610598445437 C3(139,569) = 3.667011071573386933 C4(139,569) = 4552 Sum = 6263.341138325737252 Averaged sum = 0.6263967535079245176 logp*logq = 31.30371263709419644 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,569) = 0.6730585468444383395 D2(139,569) = 0.5717942440465544989 C1(139,569) = 0.8140204285203644746 C2(139,569) = 1.485411610598445437 C3(139,569) = 3.667011071573386933 C4(139,569) = 4552 Sum = 6263.341138325737252 Averaged sum = 0.6263967535079245176 logp*logq = 31.30371263709419644 -------------- ************************************* p = 139; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40045066505926.73291 -------------- Searches starting with [139,571]-exponents: u = 9, v = 227 n_start has 646 digits --- performed 5000 steps in the continued fraction search [139,571]-exponents: u = 93, v = 144 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,571) = 0.6464749334466581957 D2(139,571) = 0.2919627080028111951 C1(139,571) = 0.8282573828508543001 C2(139,571) = 1.467705892826973681 C3(139,571) = 3.751300540664039225 C4(139,571) = 4568 Sum = 5263.894118683180474 Averaged sum = 0.5264420560739254400 logp*logq = 31.32102659848260576 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,571) = 0.6464749334466581957 D2(139,571) = 0.2919627080028111951 C1(139,571) = 0.8282573828508543001 C2(139,571) = 1.467705892826973681 C3(139,571) = 3.751300540664039225 C4(139,571) = 4568 Sum = 5263.894118683180474 Averaged sum = 0.5264420560739254400 logp*logq = 31.32102659848260576 -------------- ************************************* p = 139; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42164802924860.75311 -------------- Searches starting with [139,577]-exponents: u = 9, v = 52 n_start has 163 digits starting right neighbors generation We generated 1121 left neighbors We generated 8889 right neighbors We generated 10009 non-negative rho_i D1(139,577) = 1.075007954558241283 D2(139,577) = 0.009908548125568972805 C1(139,577) = 1.483118556216154810 C2(139,577) = 1.441208941326209689 C3(139,577) = 10.66985167185618736 C4(139,577) = 4616 Sum = 4098.213881565684556 Averaged sum = 0.4094528805640608009 logp*logq = 31.37260693504077380 -------------- ************************************* p = 139; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45895757361101.99474 -------------- Searches starting with [139,587]-exponents: u = 9, v = 17 n_start has 67 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(139,587) = 0.6883950737159436353 D2(139,587) = 0.03386896506061079413 C1(139,587) = 0.8942667533684709683 C2(139,587) = 1.741631092588132971 C3(139,587) = 4.168139565284903259 C4(139,587) = 4696 Sum = 4138.529344714238787 Averaged sum = 0.4134808017498490146 logp*logq = 31.45739379650292666 -------------- ************************************* p = 139; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48257642252603.04456 -------------- Searches starting with [139,593]-exponents: u = 9, v = 17 n_start has 67 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(139,593) = 0.9788378110589920357 D2(139,593) = 0.04756421672976695497 C1(139,593) = 1.484334957848432125 C2(139,593) = 1.757156877034215662 C3(139,593) = 10.69058919647899620 C4(139,593) = 4744 Sum = 3106.305682248645745 Averaged sum = 0.3103512520979763957 logp*logq = 31.50757531982636985 -------------- ************************************* p = 139; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50715446836411.41564 -------------- Searches starting with [139,599]-exponents: u = 9, v = 10 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(139,599) = 0.6500713604335360532 D2(139,599) = 0.06672749764087952274 C1(139,599) = 0.9419505768595287664 C2(139,599) = 1.919100317222142634 C3(139,599) = 4.497784330853124988 C4(139,599) = 4792 Sum = 4148.568170429288781 Averaged sum = 0.4144837816394533701 logp*logq = 31.55725165145241471 -------------- ************************************* p = 139; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51556525959207.25783 -------------- Searches starting with [139,601]-exponents: u = 9, v = 10 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(139,601) = 0.8586575814082792911 D2(139,601) = 0.07190990745975484964 C1(139,601) = 1.145959907176572018 C2(139,601) = 1.924886115677658012 C3(139,601) = 6.229113304612621215 C4(139,601) = 4808 Sum = 4565.952018378374782 Averaged sum = 0.4561846356657383137 logp*logq = 31.57369991312606688 -------------- ************************************* p = 139; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54146706687679.64582 -------------- Searches starting with [139,607]-exponents: u = 9, v = 10 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(139,607) = 0.7531410577377102736 D2(139,607) = 0.08779176000527737738 C1(139,607) = 1.014195134686147733 C2(139,607) = 1.942565905477783391 C3(139,607) = 5.047560190603054803 C4(139,607) = 4856 Sum = 4181.088220440545880 Averaged sum = 0.4177328624678335378 logp*logq = 31.62271826920063952 -------------- ************************************* p = 139; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56839604994056.44348 -------------- Searches starting with [139,613]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(139,613) = 0.7980297235528028740 D2(139,613) = 0.07005731258324755486 C1(139,613) = 1.294667914359502771 C2(139,613) = 1.317987179355126453 C3(139,613) = 7.897992140308618558 C4(139,613) = 4904 Sum = 4367.289383129860211 Averaged sum = 0.4363362357008552514 logp*logq = 31.67125446969727749 -------------- ************************************* p = 139; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58693418894266.93091 -------------- Searches starting with [139,617]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(139,617) = 0.5936959424138047467 D2(139,617) = 0.06496826306583256027 C1(139,617) = 0.7899739407681313521 C2(139,617) = 2.053096338904012383 C3(139,617) = 3.528923252539043452 C4(139,617) = 4936 Sum = 4432.963911671498068 Averaged sum = 0.4428977831623037335 logp*logq = 31.70334872223996745 -------------- ************************************* p = 139; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59638228817124.85811 -------------- Searches starting with [139,619]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(139,619) = 0.6068398771326317917 D2(139,619) = 0.05285748032317022145 C1(139,619) = 0.8176430333930050035 C2(139,619) = 2.041700364390534766 C3(139,619) = 3.688277242616591572 C4(139,619) = 4952 Sum = 4279.719548392591558 Averaged sum = 0.4275871264254762272 logp*logq = 31.71931790748209677 -------------- ************************************* p = 139; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65564972772065.67768 -------------- Searches starting with [139,631]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(139,631) = 0.5889406131581877022 D2(139,631) = 0.1468159651213847664 C1(139,631) = 0.9208519051548083962 C2(139,631) = 1.880980157581289263 C3(139,631) = 4.348827344801810699 C4(139,631) = 5048 Sum = 4426.981097839350672 Averaged sum = 0.4423000397481617216 logp*logq = 31.81406271763030720 -------------- ************************************* p = 139; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70854555954911.47547 -------------- Searches starting with [139,641]-exponents: u = 17, v = 3 n_start has 45 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(139,641) = 0.5903775148546692187 D2(139,641) = 0.1059186562300831092 C1(139,641) = 0.7789602155924075110 C2(139,641) = 1.995654506682542080 C3(139,641) = 3.467424784126221640 C4(139,641) = 5128 Sum = 4417.095888800481139 Averaged sum = 0.4413124077131063182 logp*logq = 31.89165038423085743 -------------- ************************************* p = 139; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71952161434867.01029 -------------- Searches starting with [139,643]-exponents: u = 17, v = 3 n_start has 45 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(139,643) = 0.9173096383556833763 D2(139,643) = 0.08833601324589782079 C1(139,643) = 1.319843582324431134 C2(139,643) = 1.978732654627820059 C3(139,643) = 8.221849047422590149 C4(139,643) = 5144 Sum = 4237.997890171337752 Averaged sum = 0.4234187121761752175 logp*logq = 31.90702258960107798 -------------- ************************************* p = 139; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74188040688726.05922 -------------- Searches starting with [139,647]-exponents: u = 17, v = 3 n_start has 45 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(139,647) = 0.7222278310024578326 D2(139,647) = 0.05562393014527590347 C1(139,647) = 0.9720282308636269266 C2(139,647) = 1.947335956360896422 C3(139,647) = 4.718996832589627536 C4(139,647) = 5176 Sum = 4567.417867189863274 Averaged sum = 0.4563310887391211184 logp*logq = 31.93762407640971739 -------------- ************************************* p = 139; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77645397391303.25312 -------------- Searches starting with [139,653]-exponents: u = 21, v = 3 n_start has 54 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(139,653) = 0.6092172073219241852 D2(139,653) = 0.01144545262649423103 C1(139,653) = 0.8020355649565451410 C2(139,653) = 1.905115254866273549 C3(139,653) = 3.597525028653766945 C4(139,653) = 5224 Sum = 4398.816398933683384 Averaged sum = 0.4394861024012072519 logp*logq = 31.98317338999060893 -------------- ************************************* p = 139; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81230027225792.29116 -------------- Searches starting with [139,659]-exponents: u = 21, v = 3 n_start has 54 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(139,659) = 1.027667338646843422 D2(139,659) = 0.09537428770143884368 C1(139,659) = 1.346710057457397349 C2(139,659) = 1.912798230826272930 C3(139,659) = 8.582117123107479808 C4(139,659) = 5272 Sum = 4407.565401954374794 Averaged sum = 0.4403602160010365465 logp*logq = 32.02830608816053206 -------------- ************************************* p = 139; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82453783385961.89861 -------------- Searches starting with [139,661]-exponents: u = 25, v = 3 n_start has 63 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(139,661) = 0.8159481135210073244 D2(139,661) = 0.07454956629981432235 C1(139,661) = 1.220578188987244139 C2(139,661) = 1.892595204663590709 C3(139,661) = 7.017051635742812279 C4(139,661) = 5288 Sum = 3329.724780896080408 Averaged sum = 0.3326730723245159764 logp*logq = 32.04325905091548266 -------------- ************************************* p = 139; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90108677748351.39334 -------------- Searches starting with [139,673]-exponents: u = 29, v = 3 n_start has 71 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(139,673) = 0.6090020461675652482 D2(139,673) = 0.05688998512298290203 C1(139,673) = 0.8870487130926694214 C2(139,673) = 1.817872342034180040 C3(139,673) = 4.120390829676982626 C4(139,673) = 5384 Sum = 4336.782652019475436 Averaged sum = 0.4332883057267934295 logp*logq = 32.13203758831743294 -------------- ************************************* p = 139; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92782485205724.70182 -------------- Searches starting with [139,677]-exponents: u = 33, v = 3 n_start has 80 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(139,677) = 0.6404395841048853570 D2(139,677) = 0.01433603020295028598 C1(139,677) = 0.8810657610690623564 C2(139,677) = 1.776500494851754012 C3(139,677) = 4.081227319531898051 C4(139,677) = 5416 Sum = 4314.839826123851935 Averaged sum = 0.4310959962157909816 logp*logq = 32.16127900090035586 -------------- ************************************* p = 139; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96911446934134.39467 -------------- Searches starting with [139,683]-exponents: u = 41, v = 3 n_start has 97 digits starting right neighbors generation We generated 510 left neighbors We generated 9500 right neighbors We generated 10009 non-negative rho_i D1(139,683) = 0.9107181083482156098 D2(139,683) = 0.02111965151708175333 C1(139,683) = 1.302182222530372305 C2(139,683) = 1.735885400636075433 C3(139,683) = 7.993296497379856836 C4(139,683) = 5464 Sum = 3077.257807915126038 Averaged sum = 0.3074490766225523067 logp*logq = 32.20481875926351822 -------------- ************************************* p = 139; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102643253258106.1508 -------------- Searches starting with [139,691]-exponents: u = 49, v = 3 n_start has 114 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(139,691) = 1.164938351112178293 D2(139,691) = 0.03067363990923838214 C1(139,691) = 1.633299629061456474 C2(139,691) = 1.671869984798885470 C3(139,691) = 13.56032311571825295 C4(139,691) = 5528 Sum = 6051.636632104455523 Averaged sum = 0.6046195056553557321 logp*logq = 32.26228053154526193 -------------- ************************************* p = 139; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110184722111046.0938 -------------- Searches starting with [139,701]-exponents: u = 81, v = 3 n_start has 183 digits starting right neighbors generation We generated 1780 left neighbors We generated 8230 right neighbors We generated 10009 non-negative rho_i D1(139,701) = 0.7582268099359939123 D2(139,701) = 0.01443327163917922778 C1(139,701) = 1.033646213243059800 C2(139,701) = 1.556595926991399616 C3(139,701) = 5.206738768516398662 C4(139,701) = 5608 Sum = 3971.789733416835445 Averaged sum = 0.3968218336913613193 logp*logq = 32.33317936520545224 -------------- ************************************* p = 139; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116530481269298.8961 -------------- Searches starting with [139,709]-exponents: u = 141, v = 3 n_start has 311 digits starting right neighbors generation We generated 5125 left neighbors We generated 4885 right neighbors We generated 10009 non-negative rho_i D1(139,709) = 0.7397820009753093966 D2(139,709) = 0.01224770672391421383 C1(139,709) = 0.9784022081427329395 C2(139,709) = 1.428400027384646436 C3(139,709) = 4.767255048411986750 C4(139,709) = 5672 Sum = 4662.963639996084966 Averaged sum = 0.4658770746324393012 logp*logq = 32.38917399650861484 -------------- ************************************* p = 139; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124868887833635.6170 -------------- Searches starting with [139,719]-exponents: u = 1525, v = 3 n_start has 3277 digits --- performed 5000 steps in the continued fraction search [139,719]-exponents: u = 1346, v = 134 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,719) = 0.8229462015811295907 D2(139,719) = 0.5240082608390018244 C1(139,719) = 1.002164414236685401 C2(139,719) = 1.494072430036676417 C3(139,719) = 4.951551717578795723 C4(139,719) = 5752 Sum = 6100.202243407968647 Averaged sum = 0.6100812324640432690 logp*logq = 32.45828540542216543 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,719) = 0.8229462015811295907 D2(139,719) = 0.5240082608390018244 C1(139,719) = 1.002164414236685401 C2(139,719) = 1.494072430036676417 C3(139,719) = 4.951551717578795723 C4(139,719) = 5752 Sum = 6100.202243407968647 Averaged sum = 0.6100812324640432690 logp*logq = 32.45828540542216543 -------------- ************************************* p = 139; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131876362347645.6608 -------------- Searches starting with [139,727]-exponents: u = 4, v = 170 n_start has 496 digits --- performed 5000 steps in the continued fraction search [139,727]-exponents: u = 114, v = 64 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,727) = 0.6856555218805751049 D2(139,727) = 0.06493386122824174941 C1(139,727) = 0.8874041800092395734 C2(139,727) = 1.358801516916995091 C3(139,727) = 4.122729455050500152 C4(139,727) = 5816 Sum = 5069.766886707851198 Averaged sum = 0.5070273914099261124 logp*logq = 32.51288595070377982 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,727) = 0.6856555218805751049 D2(139,727) = 0.06493386122824174941 C1(139,727) = 0.8874041800092395734 C2(139,727) = 1.358801516916995091 C3(139,727) = 4.122729455050500152 C4(139,727) = 5816 Sum = 5069.766886707851198 Averaged sum = 0.5070273914099261124 logp*logq = 32.51288595070377982 -------------- ************************************* p = 139; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 137334888287115.6084 -------------- Searches starting with [139,733]-exponents: u = 4, v = 92 n_start has 273 digits starting right neighbors generation We generated 3881 left neighbors We generated 6129 right neighbors We generated 10009 non-negative rho_i D1(139,733) = 0.9121320071778776324 D2(139,733) = 0.01636064336328204380 C1(139,733) = 1.214694931362508091 C2(139,733) = 1.466073466507603144 C3(139,733) = 6.951462075698234049 C4(139,733) = 5864 Sum = 4525.878422101227715 Averaged sum = 0.4521808794186459901 logp*logq = 32.55344349902486327 -------------- ************************************* p = 139; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 142972069864821.4247 -------------- Searches starting with [139,739]-exponents: u = 4, v = 62 n_start has 187 digits starting right neighbors generation We generated 1823 left neighbors We generated 8187 right neighbors We generated 10009 non-negative rho_i D1(139,739) = 0.6527995851082431549 D2(139,739) = 0.01313425154929845924 C1(139,739) = 0.8556947695123074325 C2(139,739) = 1.555369744310098578 C3(139,739) = 3.919246481730940162 C4(139,739) = 5912 Sum = 4147.081058393506183 Averaged sum = 0.4143352041556105687 logp*logq = 32.59367041148125429 -------------- ************************************* p = 139; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 146831577198561.1345 -------------- Searches starting with [139,743]-exponents: u = 4, v = 50 n_start has 153 digits starting right neighbors generation We generated 1161 left neighbors We generated 8849 right neighbors We generated 10009 non-negative rho_i D1(139,743) = 0.6726607900384468915 D2(139,743) = 0.01990473622311111513 C1(139,743) = 0.9245521288666083691 C2(139,743) = 1.606033900317631292 C3(139,743) = 4.374589559344384964 C4(139,743) = 5944 Sum = 4662.594037734849296 Averaged sum = 0.4658401476406083820 logp*logq = 32.62030731250994842 -------------- ************************************* p = 139; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 154799769693404.1995 -------------- Searches starting with [139,751]-exponents: u = 4, v = 38 n_start has 118 digits starting right neighbors generation We generated 750 left neighbors We generated 9260 right neighbors We generated 10009 non-negative rho_i D1(139,751) = 0.7262071959940612701 D2(139,751) = 0.006517443378983982625 C1(139,751) = 0.9554697313569119767 C2(139,751) = 1.681420599076331575 C3(139,751) = 4.595900919689035260 C4(139,751) = 6008 Sum = 4322.490325264216220 Averaged sum = 0.4318603582040379878 logp*logq = 32.67315358931436150 -------------- ************************************* p = 139; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160999144517270.2815 -------------- Searches starting with [139,757]-exponents: u = 4, v = 32 n_start has 101 digits starting right neighbors generation We generated 533 left neighbors We generated 9477 right neighbors We generated 10009 non-negative rho_i D1(139,757) = 0.5872050600425159888 D2(139,757) = 0.02004695229190155613 C1(139,757) = 0.7788731278328229166 C2(139,757) = 1.734640372667125862 C3(139,757) = 3.466942798794460829 C4(139,757) = 6056 Sum = 4192.180062419800232 Averaged sum = 0.4188410492976121722 logp*logq = 32.71242016734156677 -------------- ************************************* p = 139; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 165240872765404.9849 -------------- Searches starting with [139,761]-exponents: u = 4, v = 29 n_start has 93 digits starting right neighbors generation We generated 395 left neighbors We generated 9615 right neighbors We generated 10009 non-negative rho_i D1(139,761) = 0.7783857217643920850 D2(139,761) = 0.06664547658559410023 C1(139,761) = 1.023203967014566077 C2(139,761) = 1.782032824991222016 C3(139,761) = 5.120670098753321103 C4(139,761) = 6088 Sum = 4180.640027349979446 Averaged sum = 0.4176880834598840489 logp*logq = 32.73842536024784127 -------------- ************************************* p = 139; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173991605949132.2620 -------------- Searches starting with [139,769]-exponents: u = 4, v = 23 n_start has 75 digits starting right neighbors generation We generated 238 left neighbors We generated 9772 right neighbors We generated 10009 non-negative rho_i D1(139,769) = 1.613051105689339791 D2(139,769) = 0.07417121787652834783 C1(139,769) = 2.170962112663351513 C2(139,769) = 1.836992783250169983 C3(139,769) = 31.98892458600019441 C4(139,769) = 6152 Sum = 5687.566173367321626 Averaged sum = 0.5682451966597383980 logp*logq = 32.79002817230775670 -------------- ************************************* p = 139; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 178503372994923.2452 -------------- Searches starting with [139,773]-exponents: u = 4, v = 23 n_start has 76 digits starting right neighbors generation We generated 309 left neighbors We generated 9701 right neighbors We generated 10009 non-negative rho_i D1(139,773) = 0.8735607809261198096 D2(139,773) = 0.01791436629332269557 C1(139,773) = 1.279634089381801118 C2(139,773) = 1.837551175861794356 C3(139,773) = 7.710714720294485274 C4(139,773) = 6184 Sum = 2637.802608430307582 Averaged sum = 0.2635430720781604138 logp*logq = 32.81562861329981079 -------------- ************************************* p = 139; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 195034673592724.3962 -------------- Searches starting with [139,787]-exponents: u = 4, v = 17 n_start has 58 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(139,787) = 1.306584396903119249 D2(139,787) = 0.01164986225470498354 C1(139,787) = 1.839717817444250046 C2(139,787) = 1.905099593029827566 C3(139,787) = 18.85243969669010146 C4(139,787) = 6296 Sum = 5297.004786581351845 Averaged sum = 0.5292241768989261509 logp*logq = 32.90419847198140719 -------------- ************************************* p = 139; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 207572805414097.8476 -------------- Searches starting with [139,797]-exponents: u = 4, v = 14 n_start has 50 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(139,797) = 0.6277516596670126245 D2(139,797) = 0.07871398236274182314 C1(139,797) = 0.8515557110417057494 C2(139,797) = 1.974233690960338871 C3(139,797) = 3.893437546552270870 C4(139,797) = 6376 Sum = 4431.988876923593722 Averaged sum = 0.4428003673617338118 logp*logq = 32.96650326352453673 -------------- ************************************* p = 139; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 223458139627737.4230 -------------- Searches starting with [139,809]-exponents: u = 4, v = 14 n_start has 50 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(139,809) = 0.9414586587081325172 D2(139,809) = 0.1117870754705093075 C1(139,809) = 1.451869957833040367 C2(139,809) = 1.237496149053156823 C3(139,809) = 10.15069028446416993 C4(139,809) = 6472 Sum = 2844.446084354881823 Averaged sum = 0.2841888384808554124 logp*logq = 33.04024521770984201 -------------- ************************************* p = 139; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226197383004186.5901 -------------- Searches starting with [139,811]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(139,811) = 0.8511737933143647483 D2(139,811) = 0.00003558138313858508279 C1(139,811) = 1.312614098381138186 C2(139,811) = 1.993109077511808059 C3(139,811) = 8.127513980932029010 C4(139,811) = 6488 Sum = 3815.720370289868531 Averaged sum = 0.3812289309910948678 logp*logq = 33.05242911015454686 -------------- ************************************* p = 139; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 240298102260627.9446 -------------- Searches starting with [139,821]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(139,821) = 0.9179053141662780495 D2(139,821) = 0.04696808259858279629 C1(139,821) = 1.333411646426436641 C2(139,821) = 2.042145901523707539 C3(139,821) = 8.401859897316053353 C4(139,821) = 6568 Sum = 4022.016510954889972 Averaged sum = 0.4018399950998990880 logp*logq = 33.11290136126412302 -------------- ************************************* p = 139; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 243200515698482.5147 -------------- Searches starting with [139,823]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(139,823) = 0.6200221170004811503 D2(139,823) = 0.05693691662818993114 C1(139,823) = 0.8278504739079874201 C2(139,823) = 2.052532473647435396 C3(139,823) = 3.748864761565178676 C4(139,823) = 6584 Sum = 4196.596123982552909 Averaged sum = 0.4192822583657261374 logp*logq = 33.12490738648904598 -------------- ************************************* p = 139; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 249089193594047.4029 -------------- Searches starting with [139,827]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(139,827) = 0.6359734838739342837 D2(139,827) = 0.07756972252313961008 C1(139,827) = 0.8507172395579714596 C2(139,827) = 2.073997670053208863 C3(139,827) = 3.888230028895169415 C4(139,827) = 6616 Sum = 4268.169917785299680 Averaged sum = 0.4264332018968228274 logp*logq = 33.14883215545738131 -------------- ************************************* p = 139; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 252075857612732.7692 -------------- Searches starting with [139,829]-exponents: u = 4, v = 11 n_start has 41 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(139,829) = 0.7636563940431194956 D2(139,829) = 0.08826853801884907355 C1(139,829) = 1.009278798951764433 C2(139,829) = 2.085111147995135761 C3(139,829) = 5.008103569442936425 C4(139,829) = 6632 Sum = 4230.693306409808666 Averaged sum = 0.4226889106214215872 logp*logq = 33.16075118041460652 -------------- ************************************* p = 139; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267440504222596.9534 -------------- Searches starting with [139,839]-exponents: u = 4, v = 8 n_start has 32 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(139,839) = 0.7602981770387485386 D2(139,839) = 0.09445710783069036525 C1(139,839) = 1.208451972393946828 C2(139,839) = 1.383454652232247399 C3(139,839) = 6.882532701002086142 C4(139,839) = 6712 Sum = 4233.680765921427472 Averaged sum = 0.4229873879429940525 logp*logq = 33.21991824340578785 -------------- ************************************* p = 139; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 290196114737267.7391 -------------- Searches starting with [139,853]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(139,853) = 0.7577236573024519931 D2(139,853) = 0.08653286841395487726 C1(139,853) = 1.024571282039039711 C2(139,853) = 1.942608911190731549 C3(139,853) = 5.131858531331401145 C4(139,853) = 6824 Sum = 4280.281384110981411 Averaged sum = 0.4276432594775683296 logp*logq = 33.30157806806457339 -------------- ************************************* p = 139; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 296973304940728.9465 -------------- Searches starting with [139,857]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(139,857) = 0.8145072670965684275 D2(139,857) = 0.07330088421584421323 C1(139,857) = 1.213560520221701041 C2(139,857) = 1.791916361554105128 C3(139,857) = 6.938885762903140176 C4(139,857) = 6856 Sum = 3286.022824672845036 Averaged sum = 0.3283068063415770842 logp*logq = 33.32466336833713895 -------------- ************************************* p = 139; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 300408894365022.5264 -------------- Searches starting with [139,859]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(139,859) = 0.6146515892397443863 D2(139,859) = 0.06997269758678673850 C1(139,859) = 0.8214269773794154443 C2(139,859) = 1.789009736388836990 C3(139,859) = 3.710622242195414376 C4(139,859) = 6872 Sum = 4348.270013927175036 Averaged sum = 0.4344360089846313353 logp*logq = 33.33616564378574208 -------------- ************************************* p = 139; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307375139499116.5177 -------------- Searches starting with [139,863]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(139,863) = 0.6105566507511393906 D2(139,863) = 0.06343793580125219237 C1(139,863) = 0.8086465758484324102 C2(139,863) = 1.783315123291740683 C3(139,863) = 3.635690010826008307 C4(139,863) = 6904 Sum = 4203.996527157110995 Averaged sum = 0.4200216332457898886 logp*logq = 33.35909007030495320 -------------- ************************************* p = 139; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 332778131319919.3232 -------------- Searches starting with [139,877]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(139,877) = 0.6985509530120482333 D2(139,877) = 0.01693357994920773478 C1(139,877) = 0.9391400510295733133 C2(139,877) = 2.160721653290254617 C3(139,877) = 4.477651157768551374 C4(139,877) = 7016 Sum = 4571.121063585679668 Averaged sum = 0.4567010753907163221 logp*logq = 33.43849711153840065 -------------- ************************************* p = 139; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 340335187751439.5747 -------------- Searches starting with [139,881]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(139,881) = 0.8679883776199963131 D2(139,881) = 0.02632643951983548672 C1(139,881) = 1.445932953355997244 C2(139,881) = 1.292617062886956631 C3(139,881) = 10.05494739458865279 C4(139,881) = 7048 Sum = 4325.465426669908476 Averaged sum = 0.4321576008262472251 logp*logq = 33.46095209423917084 -------------- ************************************* p = 139; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 344164680910965.9386 -------------- Searches starting with [139,883]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(139,883) = 1.093370206362962512 D2(139,883) = 0.02145920005648043706 C1(139,883) = 1.821282330425673686 C2(139,883) = 1.144897266572356111 C3(139,883) = 18.30574159013207933 C4(139,883) = 7064 Sum = 3448.609828393284582 Averaged sum = 0.3445508870409915658 logp*logq = 33.47214138232876123 -------------- ************************************* p = 139; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 351926733831762.3281 -------------- Searches starting with [139,887]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(139,887) = 0.9356147863111925301 D2(139,887) = 0.02631138896049300707 C1(139,887) = 1.558440745722995442 C2(139,887) = 1.246311257033484911 C3(139,887) = 12.03302451339034505 C4(139,887) = 7096 Sum = 4222.902866648599641 Averaged sum = 0.4219105671544209852 logp*logq = 33.49444412733858152 -------------- ************************************* p = 139; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 392858417078023.3093 -------------- Searches starting with [139,907]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(139,907) = 0.6082614210561415600 D2(139,907) = 0.0002838611306242675084 C1(139,907) = 0.8375742408086214117 C2(139,907) = 2.049328022603180249 C3(139,907) = 3.807506787999841129 C4(139,907) = 7256 Sum = 3987.173771179295725 Averaged sum = 0.3983588541491952967 logp*logq = 33.60447040099992390 -------------- ************************************* p = 139; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 401482191226013.9119 -------------- Searches starting with [139,911]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(139,911) = 1.042012043076669157 D2(139,911) = 0.1055278023110332077 C1(139,911) = 1.535971502117880573 C2(139,911) = 1.929520588100737143 C3(139,911) = 11.60909068431110211 C4(139,911) = 7288 Sum = 4198.275145542919074 Averaged sum = 0.4194500095457007767 logp*logq = 33.62618429273016605 -------------- ************************************* p = 139; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 419182503007951.0160 -------------- Searches starting with [139,919]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(139,919) = 0.5815748386050933528 D2(139,919) = 0.1304060111817769052 C1(139,919) = 0.7783188825725746604 C2(139,919) = 1.955892426077568327 C3(139,919) = 3.463876909944137854 C4(139,919) = 7352 Sum = 4361.646733978728595 Averaged sum = 0.4357724781675220896 logp*logq = 33.66932750905653355 -------------- ************************************* p = 139; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 442177025435046.5279 -------------- Searches starting with [139,929]-exponents: u = 18, v = 5 n_start has 54 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(139,929) = 0.8393641507369718811 D2(139,929) = 0.1092129128086880935 C1(139,929) = 1.302914115065148310 C2(139,929) = 1.324454436465670681 C3(139,929) = 8.002640367523084168 C4(139,929) = 7432 Sum = 3852.667553273855913 Averaged sum = 0.3849203270330558410 logp*logq = 33.72273142785755318 -------------- ************************************* p = 139; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 461287352426355.2954 -------------- Searches starting with [139,937]-exponents: u = 18, v = 5 n_start has 54 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(139,937) = 0.6617691209891220998 D2(139,937) = 0.1128282975872424908 C1(139,937) = 0.8892147387825574069 C2(139,937) = 2.006382200032904539 C3(139,937) = 4.134661778894480063 C4(139,937) = 7496 Sum = 4290.589581528609016 Averaged sum = 0.4286731523157767026 logp*logq = 33.76504228887465848 -------------- ************************************* p = 139; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 471086311105830.1587 -------------- Searches starting with [139,941]-exponents: u = 18, v = 5 n_start has 54 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(139,941) = 0.5600223884204407973 D2(139,941) = 0.09382464953890030009 C1(139,941) = 0.7498361272264062775 C2(139,941) = 1.988221056028332038 C3(139,941) = 3.309916524079961897 C4(139,941) = 7528 Sum = 4350.547500192967784 Averaged sum = 0.4346635528217571969 logp*logq = 33.78606244391207527 -------------- ************************************* p = 139; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 486095261177575.2340 -------------- Searches starting with [139,947]-exponents: u = 18, v = 5 n_start has 54 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(139,947) = 1.247008396928351722 D2(139,947) = 0.06726007153507334933 C1(139,947) = 1.865405848032454982 C2(139,947) = 1.962913458525880655 C3(139,947) = 19.64154076530741127 C4(139,947) = 7576 Sum = 4746.232411146569548 Averaged sum = 0.4741964642967898439 logp*logq = 33.81742573127491071 -------------- ************************************* p = 139; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 501483054634353.6233 -------------- Searches starting with [139,953]-exponents: u = 25, v = 5 n_start has 69 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(139,953) = 0.6848871827028640371 D2(139,953) = 0.04264489401312399732 C1(139,953) = 0.9552939623328113285 C2(139,953) = 1.939547222711765931 C3(139,953) = 4.594611625825378112 C4(139,953) = 7624 Sum = 3944.424069961684674 Averaged sum = 0.3940877280409316289 logp*logq = 33.84859093339646189 -------------- ************************************* p = 139; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 538901156541268.2144 -------------- Searches starting with [139,967]-exponents: u = 39, v = 5 n_start has 99 digits starting right neighbors generation We generated 594 left neighbors We generated 9416 right neighbors We generated 10009 non-negative rho_i D1(139,967) = 0.7683898975084764576 D2(139,967) = 0.06509766142815343682 C1(139,967) = 0.9994521895081327681 C2(139,967) = 1.861903511225943028 C3(139,967) = 4.930160916061644568 C4(139,967) = 7736 Sum = 3870.943550527908296 Averaged sum = 0.3867462833977328700 logp*logq = 33.92055328698050095 -------------- ************************************* p = 139; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 549990797032249.2354 -------------- Searches starting with [139,971]-exponents: u = 39, v = 5 n_start has 99 digits starting right neighbors generation We generated 594 left neighbors We generated 9416 right neighbors We generated 10009 non-negative rho_i D1(139,971) = 1.268256240949971905 D2(139,971) = 0.04032461394040885988 C1(139,971) = 1.797021205264775986 C2(139,971) = 1.837918043712916361 C3(139,971) = 17.61037176125457103 C4(139,971) = 7768 Sum = 6063.314445465489086 Averaged sum = 0.6057862369333089306 logp*logq = 33.94092266134643440 -------------- ************************************* p = 139; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 566965701979835.0787 -------------- Searches starting with [139,977]-exponents: u = 53, v = 5 n_start has 129 digits starting right neighbors generation We generated 1137 left neighbors We generated 8873 right neighbors We generated 10009 non-negative rho_i D1(139,977) = 0.6500530698314661432 D2(139,977) = 0.006209122379843099638 C1(139,977) = 0.8514087737943378434 C2(139,977) = 1.804977801718797569 C3(139,977) = 3.892524455635533040 C4(139,977) = 7816 Sum = 4247.658545543695517 Averaged sum = 0.4243839090362369385 logp*logq = 33.97131992749129829 -------------- ************************************* p = 139; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 584355757308156.2307 -------------- Searches starting with [139,983]-exponents: u = 74, v = 5 n_start has 174 digits starting right neighbors generation We generated 2077 left neighbors We generated 7933 right neighbors We generated 10009 non-negative rho_i D1(139,983) = 0.6402071683159269257 D2(139,983) = 0.009364001937644690487 C1(139,983) = 0.8428329933187174599 C2(139,983) = 1.735733851983867134 C3(139,983) = 3.839602522973012659 C4(139,983) = 7864 Sum = 4433.485230358942820 Averaged sum = 0.4429498681545551823 logp*logq = 34.00153108675880429 -------------- ************************************* p = 139; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 608201307989850.3603 -------------- Searches starting with [139,991]-exponents: u = 144, v = 5 n_start has 324 digits --- performed 5000 steps in the continued fraction search [139,991]-exponents: u = 53, v = 26 --- starting right neighbors generation We generated 7321 left neighbors We generated 2689 right neighbors We generated 10009 non-negative rho_i D1(139,991) = 0.8676315999551613338 D2(139,991) = 0.007647139935095267436 C1(139,991) = 1.146304750524853504 C2(139,991) = 1.596804188534940547 C3(139,991) = 6.232543094057976028 C4(139,991) = 7928 Sum = 4658.483334724829476 Averaged sum = 0.4654294469702097588 logp*logq = 34.04152704176116448 -------------- ************************************* p = 139; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 626589469883819.9411 -------------- Searches starting with [139,997]-exponents: u = 389, v = 5 n_start has 849 digits --- performed 5000 steps in the continued fraction search [139,997]-exponents: u = 67, v = 222 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,997) = 0.6038757073694238389 D2(139,997) = 0.3029619724262489976 C1(139,997) = 0.7655125646881805906 C2(139,997) = 1.501209262362418237 C3(139,997) = 3.393787048816989166 C4(139,997) = 7976 Sum = 5332.137551234017132 Averaged sum = 0.5332670818315848717 logp*logq = 34.07131268914076466 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(139,997) = 0.6038757073694238389 D2(139,997) = 0.3029619724262489976 C1(139,997) = 0.7655125646881805906 C2(139,997) = 1.501209262362418237 C3(139,997) = 3.393787048816989166 C4(139,997) = 7976 Sum = 5332.137551234017132 Averaged sum = 0.5332670818315848717 logp*logq = 34.07131268914076466 -------------- ************************************* p = 149; q = 151; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80072547571.16532442 -------------- Searches starting with [149,151]-exponents: u = 1, v = 375 n_start has 820 digits --- performed 5000 steps in the continued fraction search [149,151]-exponents: u = 203, v = 160 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(149,151) = 0.7363561005899959946 D2(149,151) = 0.1162140853419217184 C1(149,151) = 0.9363194970868410194 C2(149,151) = 1.066503257601217765 C3(149,151) = 4.516271689088967061 C4(149,151) = 1208 Sum = 5734.536303776613616 Averaged sum = 0.5735109814758089424 logp*logq = 25.10619890532467665 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(149,151) = 0.7363561005899959946 D2(149,151) = 0.1162140853419217184 C1(149,151) = 0.9363194970868410194 C2(149,151) = 1.066503257601217765 C3(149,151) = 4.516271689088967061 C4(149,151) = 1208 Sum = 5734.536303776613616 Averaged sum = 0.5735109814758089424 logp*logq = 25.10619890532467665 -------------- ************************************* p = 149; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97311452250.15266714 -------------- Searches starting with [149,157]-exponents: u = 1, v = 95 n_start has 211 digits starting right neighbors generation We generated 1266 left neighbors We generated 8744 right neighbors We generated 10009 non-negative rho_i D1(149,157) = 0.6592833182861638025 D2(149,157) = 0.01010855947031566699 C1(149,157) = 0.8913407562254216818 C2(149,157) = 1.191618426450503943 C3(149,157) = 4.200740541514619086 C4(149,157) = 1256 Sum = 5088.743604325953434 Averaged sum = 0.5084167853258021214 logp*logq = 25.30118251962488916 -------------- ************************************* p = 149; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117399971400.8389238 -------------- Searches starting with [149,163]-exponents: u = 1, v = 55 n_start has 124 digits starting right neighbors generation We generated 427 left neighbors We generated 9583 right neighbors We generated 10009 non-negative rho_i D1(149,163) = 0.6497909956998299482 D2(149,163) = 0.03406028343577519235 C1(149,163) = 0.9085833895766870347 C2(149,163) = 1.333590471586973199 C3(149,163) = 4.319006420526126783 C4(149,163) = 1304 Sum = 4829.792227343299952 Averaged sum = 0.4825449322952642573 logp*logq = 25.48885250073593909 -------------- ************************************* p = 149; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132542108448.2521725 -------------- Searches starting with [149,167]-exponents: u = 1, v = 43 n_start has 98 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(149,167) = 0.7848389862393669951 D2(149,167) = 0.008833193753582586843 C1(149,167) = 1.116827656533897394 C2(149,167) = 1.374480094845857710 C3(149,167) = 6.039648972566992469 C4(149,167) = 1336 Sum = 4975.981477819871419 Averaged sum = 0.4971507121410601877 logp*logq = 25.61016623149453887 -------------- ************************************* p = 149; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 158147572582.0090945 -------------- Searches starting with [149,173]-exponents: u = 1, v = 33 n_start has 77 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(149,173) = 1.085247147019679884 D2(149,173) = 0.008157800051831012766 C1(149,173) = 1.497966148831014688 C2(149,173) = 1.452701860173423440 C3(149,173) = 11.15698023074231734 C4(149,173) = 1384 Sum = 5468.478533103903773 Averaged sum = 0.5463561327908785865 logp*logq = 25.78679443774694593 -------------- ************************************* p = 149; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187566641520.2093072 -------------- Searches starting with [149,179]-exponents: u = 1, v = 27 n_start has 64 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(149,179) = 0.6088316885839929318 D2(149,179) = 0.03995905793173561013 C1(149,179) = 0.8162115006625454884 C2(149,179) = 1.546260883425551420 C3(149,179) = 3.722091284961881257 C4(149,179) = 1432 Sum = 4613.656510728965116 Averaged sum = 0.4609507953570751439 logp*logq = 25.95740004065075471 -------------- ************************************* p = 149; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 198290708593.3451642 -------------- Searches starting with [149,181]-exponents: u = 1, v = 25 n_start has 59 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(149,181) = 0.5989767026364568847 D2(149,181) = 0.07524322601194698365 C1(149,181) = 0.8053802347701920814 C2(149,181) = 1.596594779270944908 C3(149,181) = 3.657737871406541665 C4(149,181) = 1448 Sum = 4685.825693727094623 Averaged sum = 0.4681612242708656832 logp*logq = 26.01300001607106476 -------------- ************************************* p = 149; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 259518601247.0173998 -------------- Searches starting with [149,191]-exponents: u = 1, v = 20 n_start has 48 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(149,191) = 0.7019649689391028641 D2(149,191) = 0.07658014913748446393 C1(149,191) = 1.073272805130342020 C2(149,191) = 1.688288688705053455 C3(149,191) = 5.630581379690307639 C4(149,191) = 1528 Sum = 4475.589585571410455 Averaged sum = 0.4471565176912189484 logp*logq = 26.28209421808942684 -------------- ************************************* p = 149; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 273404748690.2298384 -------------- Searches starting with [149,193]-exponents: u = 1, v = 19 n_start has 46 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(149,193) = 0.9367427119150568689 D2(149,193) = 0.04098053199297373304 C1(149,193) = 1.303665650902560928 C2(149,193) = 1.674796179133535276 C3(149,193) = 8.159618786692822398 C4(149,193) = 1544 Sum = 5214.791663529057177 Averaged sum = 0.5210102571214963710 logp*logq = 26.33421913010601260 -------------- ************************************* p = 149; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 302960351868.7890379 -------------- Searches starting with [149,197]-exponents: u = 1, v = 17 n_start has 42 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(149,197) = 0.8287292251273872900 D2(149,197) = 0.07754907905422122730 C1(149,197) = 1.281936803661699020 C2(149,197) = 1.736878315762727599 C3(149,197) = 7.879063700314988441 C4(149,197) = 1576 Sum = 4278.050931382309844 Averaged sum = 0.4274204147649425361 logp*logq = 26.43686778197573316 -------------- ************************************* p = 149; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 318667196480.2985575 -------------- Searches starting with [149,199]-exponents: u = 1, v = 17 n_start has 42 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(149,199) = 0.6462130178881869999 D2(149,199) = 0.01372935025870762263 C1(149,199) = 0.8606705969875939113 C2(149,199) = 1.699123839615607856 C3(149,199) = 3.998322566856471635 C4(149,199) = 1592 Sum = 4407.476658274907724 Averaged sum = 0.4403513496128392171 logp*logq = 26.48741312392339980 -------------- ************************************* p = 149; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 427154126463.0739016 -------------- Searches starting with [149,211]-exponents: u = 1, v = 14 n_start has 35 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(149,211) = 0.5946544675348895578 D2(149,211) = 0.1135029467716156556 C1(149,211) = 0.7936359581833359901 C2(149,211) = 1.865179270151997089 C3(149,211) = 3.589216518715129913 C4(149,211) = 1688 Sum = 4631.095881604670881 Averaged sum = 0.4626931643125857609 logp*logq = 26.78041073695172294 -------------- ************************************* p = 149; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 563367052780.2518304 -------------- Searches starting with [149,223]-exponents: u = 1, v = 12 n_start has 31 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(149,223) = 0.6732017189212108362 D2(149,223) = 0.06538826268337772309 C1(149,223) = 0.9310143058577381086 C2(149,223) = 1.897817772576025874 C3(149,223) = 4.477855480793586662 C4(149,223) = 1784 Sum = 4368.545019574620480 Averaged sum = 0.4364616864396663482 logp*logq = 27.05719721141042569 -------------- ************************************* p = 149; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 615781851088.4055842 -------------- Searches starting with [149,227]-exponents: u = 1, v = 11 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(149,227) = 0.7210149184174600424 D2(149,227) = 0.1251555749376851576 C1(149,227) = 1.173654494474638879 C2(149,227) = 1.307764594237928870 C3(149,227) = 6.618375811064657149 C4(149,227) = 1816 Sum = 4689.262451581740524 Averaged sum = 0.4685045910262504270 logp*logq = 27.14615859991481890 -------------- ************************************* p = 149; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 643413315602.1925928 -------------- Searches starting with [149,229]-exponents: u = 1, v = 11 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(149,229) = 0.9303582345973653375 D2(149,229) = 0.1312186895384700923 C1(149,229) = 1.219779617217015616 C2(149,229) = 1.716419351672401190 C3(149,229) = 7.128650214345604246 C4(149,229) = 1832 Sum = 4189.133827278972299 Averaged sum = 0.4185366996981688779 logp*logq = 27.19005314721979649 -------------- ************************************* p = 149; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 701652239770.8368496 -------------- Searches starting with [149,233]-exponents: u = 1, v = 11 n_start has 29 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(149,233) = 0.7063165028899315270 D2(149,233) = 0.08775144662354326313 C1(149,233) = 0.9829802595100254481 C2(149,233) = 1.971128927871576916 C3(149,233) = 4.868672043936121243 C4(149,233) = 1864 Sum = 3970.152046966622147 Averaged sum = 0.3966582123055871862 logp*logq = 27.27670373328673555 -------------- ************************************* p = 149; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 796847823072.9814849 -------------- Searches starting with [149,239]-exponents: u = 1, v = 10 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(149,239) = 0.6579741093893713681 D2(149,239) = 0.1084730708427544587 C1(149,239) = 0.9189031712917842694 C2(149,239) = 1.734247058682908819 C3(149,239) = 4.391375792176955029 C4(149,239) = 1912 Sum = 4190.967988903631636 Averaged sum = 0.4187199509345220937 logp*logq = 27.40392956033263094 -------------- ************************************* p = 149; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 830778752772.0366950 -------------- Searches starting with [149,241]-exponents: u = 1, v = 10 n_start has 26 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(149,241) = 0.7357265680219221829 D2(149,241) = 0.008720256902332456983 C1(149,241) = 1.028748478376629699 C2(149,241) = 1.948664208962861845 C3(149,241) = 5.241032046890708689 C4(149,241) = 1928 Sum = 4296.256278997152346 Averaged sum = 0.4292393125184486308 logp*logq = 27.44562935420154521 -------------- ************************************* p = 149; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1018212569786.443799 -------------- Searches starting with [149,251]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(149,251) = 0.7828665673287081598 D2(149,251) = 0.08336641166132781356 C1(149,251) = 1.100372887713448387 C2(149,251) = 1.756287542573000849 C3(149,251) = 5.881724389074318446 C4(149,251) = 2008 Sum = 4287.282691300135936 Averaged sum = 0.4283427606454327042 logp*logq = 27.64906982344396988 -------------- ************************************* p = 149; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1145977128590.154359 -------------- Searches starting with [149,257]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(149,257) = 0.6656418494786754101 D2(149,257) = 0.02719069989697843399 C1(149,257) = 0.8927976496497129347 C2(149,257) = 2.038361499396198429 C3(149,257) = 4.210606748452510342 C4(149,257) = 2056 Sum = 4613.230180217238169 Averaged sum = 0.4609082006411467848 logp*logq = 27.76727877642172613 -------------- ************************************* p = 149; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1286259597236.278782 -------------- Searches starting with [149,263]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(149,263) = 0.7226021911189822140 D2(149,263) = 0.06042196651773124921 C1(149,263) = 1.021582113246987815 C2(149,263) = 1.787137749790972829 C3(149,263) = 5.180900903876038772 C4(149,263) = 2104 Sum = 3720.802490394072237 Averaged sum = 0.3717456779292708799 logp*logq = 27.88275958547501999 -------------- ************************************* p = 149; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1439958400834.268120 -------------- Searches starting with [149,269]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(149,269) = 0.8637921507220792848 D2(149,269) = 0.04452309080482106497 C1(149,269) = 1.137515953169048984 C2(149,269) = 1.623039165360184362 C3(149,269) = 6.244235662108189103 C4(149,269) = 2152 Sum = 4496.514782252219821 Averaged sum = 0.4492471557850154682 logp*logq = 27.99563534078964618 -------------- ************************************* p = 149; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1494334060737.274498 -------------- Searches starting with [149,271]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(149,271) = 0.7135921570993640674 D2(149,271) = 0.04111974365427927835 C1(149,271) = 0.9615140556853612144 C2(149,271) = 1.621029111075637299 C3(149,271) = 4.703259415229571786 C4(149,271) = 2168 Sum = 4607.087256864699080 Averaged sum = 0.4602944606718652293 logp*logq = 28.03270177920851062 -------------- ************************************* p = 149; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1667391632567.270754 -------------- Searches starting with [149,277]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(149,277) = 0.8186197261442740132 D2(149,277) = 0.01641938039686147439 C1(149,277) = 1.418804997883959181 C2(149,277) = 2.113764999209974195 C3(149,277) = 9.821736306118837144 C4(149,277) = 2216 Sum = 4330.727497495223312 Averaged sum = 0.4326833347482489072 logp*logq = 28.14228162465872588 -------------- ************************************* p = 149; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1791409792240.897947 -------------- Searches starting with [149,281]-exponents: u = 9, v = 7 n_start has 37 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(149,281) = 0.8164168109075546007 D2(149,281) = 0.02815874225065060406 C1(149,281) = 1.116418702582754215 C2(149,281) = 1.822079584662331501 C3(149,281) = 6.035673120760639069 C4(149,281) = 2248 Sum = 5019.294937690908699 Averaged sum = 0.5014781634220110599 logp*logq = 28.21402401922292789 -------------- ************************************* p = 149; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1856126952107.168657 -------------- Searches starting with [149,283]-exponents: u = 9, v = 7 n_start has 37 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(149,283) = 1.245327715561557427 D2(149,283) = 0.02466004389867997850 C1(149,283) = 1.775233254777604111 C2(149,283) = 1.819989050735461517 C3(149,283) = 17.43584724999611039 C4(149,283) = 2264 Sum = 4194.653010827422111 Averaged sum = 0.4190881217731463794 logp*logq = 28.24951314887313149 -------------- ************************************* p = 149; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2208376495389.003580 -------------- Searches starting with [149,293]-exponents: u = 17, v = 7 n_start has 55 digits starting right neighbors generation We generated 221 left neighbors We generated 9789 right neighbors We generated 10009 non-negative rho_i D1(149,293) = 1.374576691240340618 D2(149,293) = 0.007208521816069156695 C1(149,293) = 1.966758595635412868 C2(149,293) = 1.645955114604547123 C3(149,293) = 23.73444865157117785 C4(149,293) = 2344 Sum = 5857.110185085901225 Averaged sum = 0.5851843525912579903 logp*logq = 28.42327874402353474 -------------- ************************************* p = 149; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2789374885415.497975 -------------- Searches starting with [149,307]-exponents: u = 8, v = 83 n_start has 224 digits starting right neighbors generation We generated 2007 left neighbors We generated 8003 right neighbors We generated 10009 non-negative rho_i D1(149,307) = 0.7394167998394001519 D2(149,307) = 0.008669301663114812863 C1(149,307) = 0.9963096616606820225 C2(149,307) = 1.263153927707942695 C3(149,307) = 4.974299617983964403 C4(149,307) = 2456 Sum = 4817.401785703874168 Averaged sum = 0.4813070022683459054 logp*logq = 28.65683863125102841 -------------- ************************************* p = 149; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2976042577614.614930 -------------- Searches starting with [149,311]-exponents: u = 8, v = 34 n_start has 103 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(149,311) = 1.320081605293593768 D2(149,311) = 0.04078522623949782444 C1(149,311) = 1.900291216020483964 C2(149,311) = 1.485675624413812346 C3(149,311) = 21.32542370828595989 C4(149,311) = 2488 Sum = 4087.570669344959271 Averaged sum = 0.4083895163697631402 logp*logq = 28.72161553979120782 -------------- ************************************* p = 149; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3073051717299.742435 -------------- Searches starting with [149,313]-exponents: u = 8, v = 20 n_start has 68 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(149,313) = 0.7276196835047400834 D2(149,313) = 0.06223603983367202566 C1(149,313) = 1.068806965275068885 C2(149,313) = 1.636841602523241590 C3(149,313) = 5.590237015177542826 C4(149,313) = 2504 Sum = 4065.823175069251255 Averaged sum = 0.4062167224567140828 logp*logq = 28.75369222851541097 -------------- ************************************* p = 149; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3274660310645.514748 -------------- Searches starting with [149,317]-exponents: u = 8, v = 13 n_start has 50 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(149,317) = 0.6917437679287850022 D2(149,317) = 0.1075489811193090640 C1(149,317) = 0.9627034808433895937 C2(149,317) = 1.794780683801075951 C3(149,317) = 4.712275937870781347 C4(149,317) = 2536 Sum = 4211.952160500811582 Averaged sum = 0.4208164812169858709 logp*logq = 28.81723525769597018 -------------- ************************************* p = 149; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4065219321601.260528 -------------- Searches starting with [149,331]-exponents: u = 22, v = 6 n_start has 63 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(149,331) = 0.5800752762938215102 D2(149,331) = 0.05077732091925133884 C1(149,331) = 0.7932307109653716122 C2(149,331) = 1.765731450359766750 C3(149,331) = 3.586875175518121077 C4(149,331) = 2648 Sum = 4298.003401629379455 Averaged sum = 0.4294138676820241237 logp*logq = 29.03348881112632274 -------------- ************************************* p = 149; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4447585495765.902961 -------------- Searches starting with [149,337]-exponents: u = 50, v = 6 n_start has 124 digits starting right neighbors generation We generated 1260 left neighbors We generated 8750 right neighbors We generated 10009 non-negative rho_i D1(149,337) = 0.5827231886480082925 D2(149,337) = 0.03912890581011314176 C1(149,337) = 0.7835258640505309959 C2(149,337) = 1.651537809751297564 C3(149,337) = 3.531258749404248222 C4(149,337) = 2696 Sum = 4572.756085806892340 Averaged sum = 0.4568644305931553942 logp*logq = 29.12338247963292341 -------------- ************************************* p = 149; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5148400114133.274034 -------------- Searches starting with [149,347]-exponents: u = 7, v = 71 n_start has 196 digits starting right neighbors generation We generated 3262 left neighbors We generated 6748 right neighbors We generated 10009 non-negative rho_i D1(149,347) = 0.6065568127414677299 D2(149,347) = 0.02139737789196054994 C1(149,347) = 0.8275893691985426370 C2(149,347) = 1.586160527088780799 C3(149,347) = 3.790912037386279587 C4(149,347) = 2776 Sum = 4256.131959043685696 Averaged sum = 0.4252304884647502944 logp*logq = 29.26970712489032173 -------------- ************************************* p = 149; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5298609354689.691666 -------------- Searches starting with [149,349]-exponents: u = 7, v = 47 n_start has 135 digits starting right neighbors generation We generated 1548 left neighbors We generated 8462 right neighbors We generated 10009 non-negative rho_i D1(149,349) = 0.6297618091837108274 D2(149,349) = 0.02026940201609504941 C1(149,349) = 0.8828193152270473767 C2(149,349) = 1.667152118892479869 C3(149,349) = 4.143493928313898640 C4(149,349) = 2792 Sum = 3981.928216094200148 Averaged sum = 0.3978347703161354929 logp*logq = 29.29846551614981413 -------------- ************************************* p = 149; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5609547442586.000733 -------------- Searches starting with [149,353]-exponents: u = 7, v = 29 n_start has 90 digits starting right neighbors generation We generated 485 left neighbors We generated 9525 right neighbors We generated 10009 non-negative rho_i D1(149,353) = 0.9767783870194482649 D2(149,353) = 0.0006878225018976765802 C1(149,353) = 1.422805414410726677 C2(149,353) = 1.509401519343697674 C3(149,353) = 9.885207997578254147 C4(149,353) = 2824 Sum = 3372.846431339699698 Averaged sum = 0.3369813599100509240 logp*logq = 29.35549116243840584 -------------- ************************************* p = 149; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6103169440375.813213 -------------- Searches starting with [149,359]-exponents: u = 7, v = 17 n_start has 59 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(149,359) = 0.6223866470099701548 D2(149,359) = 0.03740680888285285488 C1(149,359) = 0.8467942414203273272 C2(149,359) = 1.689655372297701321 C3(149,359) = 3.909974430231717917 C4(149,359) = 2872 Sum = 4175.980033836539152 Averaged sum = 0.4172225031308361627 logp*logq = 29.43982933256213853 -------------- ************************************* p = 149; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6814771181812.684287 -------------- Searches starting with [149,367]-exponents: u = 7, v = 11 n_start has 44 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(149,367) = 0.5882269454250296162 D2(149,367) = 0.09816893308836083975 C1(149,367) = 0.7825134998943985160 C2(149,367) = 1.876717858966899196 C3(149,367) = 3.525507006872389117 C4(149,367) = 2936 Sum = 4263.072055051231919 Averaged sum = 0.4259238740185065360 logp*logq = 29.55011360484391669 -------------- ************************************* p = 149; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7390824825115.194884 -------------- Searches starting with [149,373]-exponents: u = 13, v = 5 n_start has 42 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(149,373) = 0.7194284082426484932 D2(149,373) = 0.09668042668701321394 C1(149,373) = 0.9911924116124631346 C2(149,373) = 1.903741946413475617 C3(149,373) = 4.933480125886259282 C4(149,373) = 2984 Sum = 4696.836515509351566 Averaged sum = 0.4692613163662055716 logp*logq = 29.63126045834302064 -------------- ************************************* p = 149; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8005199306667.626502 -------------- Searches starting with [149,379]-exponents: u = 13, v = 5 n_start has 42 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(149,379) = 0.9036736164367292175 D2(149,379) = 0.04543687521181990454 C1(149,379) = 1.190741486316625083 C2(149,379) = 1.855790951149351484 C3(149,379) = 6.803001605395175474 C4(149,379) = 3032 Sum = 4474.804594127805970 Averaged sum = 0.4470780891325612918 logp*logq = 29.71111235983962742 -------------- ************************************* p = 149; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8436998317939.056083 -------------- Searches starting with [149,383]-exponents: u = 19, v = 5 n_start has 55 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(149,383) = 1.023770258565252983 D2(149,383) = 0.01495151023467617324 C1(149,383) = 1.421658806047804643 C2(149,383) = 1.827471302918283906 C3(149,383) = 9.866973780233220113 C4(149,383) = 3064 Sum = 4598.143069317675142 Averaged sum = 0.4594008461702143213 logp*logq = 29.76364771174483253 -------------- ************************************* p = 149; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9119451965546.889161 -------------- Searches starting with [149,389]-exponents: u = 25, v = 5 n_start has 68 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(149,389) = 1.019643691829579765 D2(149,389) = 0.06648248163954456995 C1(149,389) = 1.387286585232656056 C2(149,389) = 1.764919213586752694 C3(149,389) = 9.335703402736805989 C4(149,389) = 3112 Sum = 5145.466599389103465 Averaged sum = 0.5140839843529926531 logp*logq = 29.84143082671217026 -------------- ************************************* p = 149; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10097367343689.80688 -------------- Searches starting with [149,397]-exponents: u = 55, v = 5 n_start has 133 digits starting right neighbors generation We generated 1371 left neighbors We generated 8639 right neighbors We generated 10009 non-negative rho_i D1(149,397) = 0.6490107501788844083 D2(149,397) = 0.01024978774701059306 C1(149,397) = 0.8688573385072902786 C2(149,397) = 1.632651723064073872 C3(149,397) = 4.051379441591746853 C4(149,397) = 3176 Sum = 4378.956634554566769 Averaged sum = 0.4375019117348952711 logp*logq = 29.94329584675767658 -------------- ************************************* p = 149; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10616825205171.25372 -------------- Searches starting with [149,401]-exponents: u = 109, v = 5 n_start has 250 digits starting right neighbors generation We generated 4890 left neighbors We generated 5120 right neighbors We generated 10009 non-negative rho_i D1(149,401) = 0.6164891826159994310 D2(149,401) = 0.009792289632403771005 C1(149,401) = 0.8280888053893426729 C2(149,401) = 1.489541637233366825 C3(149,401) = 3.793961936172218648 C4(149,401) = 3208 Sum = 4551.192736074996984 Averaged sum = 0.4547100345763809555 logp*logq = 29.99346114215027860 -------------- ************************************* p = 149; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11719880925535.96828 -------------- Searches starting with [149,409]-exponents: u = 6, v = 109 n_start has 298 digits --- performed 5000 steps in the continued fraction search [149,409]-exponents: u = 48, v = 25 --- starting right neighbors generation We generated 6816 left neighbors We generated 3194 right neighbors We generated 10009 non-negative rho_i D1(149,409) = 0.5867104206799297218 D2(149,409) = 0.01540763431363858446 C1(149,409) = 0.7804960923394960602 C2(149,409) = 1.448433916282213451 C3(149,409) = 3.514073035932581015 C4(149,409) = 3272 Sum = 4762.716121140449498 Averaged sum = 0.4758433530962583173 logp*logq = 30.09230774008859818 -------------- ************************************* p = 149; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13225684964913.96900 -------------- Searches starting with [149,419]-exponents: u = 6, v = 29 n_start has 90 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(149,419) = 0.7699269558034924871 D2(149,419) = 0.06976147566045941497 C1(149,419) = 1.018693995492984078 C2(149,419) = 1.727841693153874767 C3(149,419) = 5.156862933704257366 C4(149,419) = 3352 Sum = 4278.641648917412797 Averaged sum = 0.4274794334016797679 logp*logq = 30.21318188551989224 -------------- ************************************* p = 149; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13544616070033.57677 -------------- Searches starting with [149,421]-exponents: u = 6, v = 24 n_start has 77 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(149,421) = 0.8600464605034529891 D2(149,421) = 0.01465926963978804635 C1(149,421) = 1.193037286595028047 C2(149,421) = 1.764998471992163026 C3(149,421) = 6.828197207047109478 C4(149,421) = 3368 Sum = 4595.627958244083137 Averaged sum = 0.4591495612193109338 logp*logq = 30.23701024628969449 -------------- ************************************* p = 149; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15232907472866.80015 -------------- Searches starting with [149,431]-exponents: u = 6, v = 14 n_start has 50 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(149,431) = 0.7038503561309109297 D2(149,431) = 0.1226312398760504022 C1(149,431) = 1.011086947782557060 C2(149,431) = 1.876917158653325783 C3(149,431) = 5.094081437938518084 C4(149,431) = 3448 Sum = 3836.116934276344107 Averaged sum = 0.3832667533496197529 logp*logq = 30.35447916894051315 -------------- ************************************* p = 149; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15589919390609.82530 -------------- Searches starting with [149,433]-exponents: u = 6, v = 14 n_start has 50 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(149,433) = 0.6360608085473040828 D2(149,433) = 0.1484209222988226132 C1(149,433) = 0.8740224048087613664 C2(149,433) = 1.903484982206520992 C3(149,433) = 4.085214983606008785 C4(149,433) = 3464 Sum = 4023.512687495337851 Averaged sum = 0.4019894782191365622 logp*logq = 30.37764562840178858 -------------- ************************************* p = 149; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16701311439590.98924 -------------- Searches starting with [149,439]-exponents: u = 6, v = 9 n_start has 37 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(149,439) = 0.6818292308197966666 D2(149,439) = 0.005339225524291127086 C1(149,439) = 0.9167832130594861400 C2(149,439) = 1.903954510660968974 C3(149,439) = 4.376410888375363618 C4(149,439) = 3512 Sum = 4387.990590688372834 Averaged sum = 0.4384044950233162988 logp*logq = 30.44650836158481795 -------------- ************************************* p = 149; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17476809399070.78954 -------------- Searches starting with [149,443]-exponents: u = 6, v = 9 n_start has 37 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(149,443) = 0.7534441568759225165 D2(149,443) = 0.02273431597016548709 C1(149,443) = 0.9952516820926358757 C2(149,443) = 1.923024087603211258 C3(149,443) = 4.965832679354016892 C4(149,443) = 3544 Sum = 4341.704466133617378 Averaged sum = 0.4337800445732458165 logp*logq = 30.49189594083827740 -------------- ************************************* p = 149; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18693829637742.16679 -------------- Searches starting with [149,449]-exponents: u = 6, v = 9 n_start has 37 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(149,449) = 0.6196726226096182750 D2(149,449) = 0.04985474085104223322 C1(149,449) = 1.036046369984983277 C2(149,449) = 1.952627481323750985 C3(149,449) = 5.302984077259090203 C4(149,449) = 3592 Sum = 4127.748314475023038 Averaged sum = 0.4124036681461707501 logp*logq = 30.55921461944222378 -------------- ************************************* p = 149; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20421039410282.75302 -------------- Searches starting with [149,457]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(149,457) = 0.6242226077988678789 D2(149,457) = 0.04649045031024963907 C1(149,457) = 1.043398550363031441 C2(149,457) = 1.988033063507784078 C3(149,457) = 5.366137488862013954 C4(149,457) = 3656 Sum = 4490.212023037741719 Averaged sum = 0.4486174466018325226 logp*logq = 30.64758682895056415 -------------- ************************************* p = 149; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21331254917808.46582 -------------- Searches starting with [149,461]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(149,461) = 0.8037800727052088758 D2(149,461) = 0.02420376637080025916 C1(149,461) = 1.159591747375007694 C2(149,461) = 1.967633017204764791 C3(149,461) = 6.470191983505611140 C4(149,461) = 3688 Sum = 3472.539540031765278 Averaged sum = 0.3469417064673559075 logp*logq = 30.69119448014618773 -------------- ************************************* p = 149; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21798376690147.27361 -------------- Searches starting with [149,463]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(149,463) = 0.6978896120966607947 D2(149,463) = 0.01353415464505844955 C1(149,463) = 0.9201415839338909533 C2(149,463) = 1.957900492527029133 C3(149,463) = 4.400141482796904290 C4(149,463) = 3704 Sum = 4416.983896529500646 Averaged sum = 0.4413012185562494401 logp*logq = 30.71285661919631629 -------------- ************************************* p = 149; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22757174722798.40307 -------------- Searches starting with [149,467]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(149,467) = 0.6476850345609443982 D2(149,467) = 0.1263217985659751050 C1(149,467) = 0.8682973221428425342 C2(149,467) = 1.833398344786896145 C3(149,467) = 4.047727743145634577 C4(149,467) = 3736 Sum = 4375.298046187113951 Averaged sum = 0.4371363818750238736 logp*logq = 30.75590158403677479 -------------- ************************************* p = 149; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25837767803956.73092 -------------- Searches starting with [149,479]-exponents: u = 16, v = 4 n_start has 46 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(149,479) = 1.014125101731997744 D2(149,479) = 0.09428585206502486856 C1(149,479) = 1.466356783555647201 C2(149,479) = 1.912216276573780712 C3(149,479) = 10.60331918355553398 C4(149,479) = 3832 Sum = 4544.745205505759024 Averaged sum = 0.4540658612754280172 logp*logq = 30.88285840581573260 -------------- ************************************* p = 149; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28070530320617.22149 -------------- Searches starting with [149,487]-exponents: u = 21, v = 4 n_start has 57 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(149,487) = 0.6307272675449924980 D2(149,487) = 0.01899343114326324608 C1(149,487) = 0.8945221555972357223 C2(149,487) = 1.840360168697608011 C3(149,487) = 4.222315202884057877 C4(149,487) = 3896 Sum = 4101.544670718862281 Averaged sum = 0.4097856599779061126 logp*logq = 30.96574139891394127 -------------- ************************************* p = 149; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29243361403264.85806 -------------- Searches starting with [149,491]-exponents: u = 26, v = 4 n_start has 68 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(149,491) = 0.7750115153021911516 D2(149,491) = 0.09562421842256541799 C1(149,491) = 1.158040178199034195 C2(149,491) = 1.828310706342660989 C3(149,491) = 6.454047172152349003 C4(149,491) = 3928 Sum = 3646.395696518032302 Averaged sum = 0.3643116891315848039 logp*logq = 31.00667370327482379 -------------- ************************************* p = 149; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31706642680173.02055 -------------- Searches starting with [149,499]-exponents: u = 36, v = 4 n_start has 90 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(149,499) = 0.7472238886752409289 D2(149,499) = 0.07140244553746618300 C1(149,499) = 0.9640529172008788931 C2(149,499) = 1.740500343585487774 C3(149,499) = 4.722526368537918693 C4(149,499) = 3992 Sum = 3470.313899152585427 Averaged sum = 0.3467193425070022407 logp*logq = 31.08754732313005324 -------------- ************************************* p = 149; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32999027341849.07983 -------------- Searches starting with [149,503]-exponents: u = 41, v = 4 n_start has 100 digits starting right neighbors generation We generated 642 left neighbors We generated 9368 right neighbors We generated 10009 non-negative rho_i D1(149,503) = 0.7203062904061865641 D2(149,503) = 0.01060089047167572028 C1(149,503) = 1.023255127468593325 C2(149,503) = 1.681249861268451636 C3(149,503) = 5.194876717389418780 C4(149,503) = 4024 Sum = 4453.390621714886934 Averaged sum = 0.4449386174158144604 logp*logq = 31.12749920247122532 -------------- ************************************* p = 149; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35016315621568.24578 -------------- Searches starting with [149,509]-exponents: u = 66, v = 4 n_start has 155 digits starting right neighbors generation We generated 1597 left neighbors We generated 8413 right neighbors We generated 10009 non-negative rho_i D1(149,509) = 0.5908119781734179460 D2(149,509) = 0.001629561990924922233 C1(149,509) = 0.8139956561975414491 C2(149,509) = 1.579733659793906224 C3(149,509) = 3.708834481831064423 C4(149,509) = 4072 Sum = 4578.051490283375856 Averaged sum = 0.4573934948829429370 logp*logq = 31.18683522941509207 -------------- ************************************* p = 149; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39346860843525.57187 -------------- Searches starting with [149,521]-exponents: u = 5, v = 1527 n_start has 4160 digits --- performed 5000 steps in the continued fraction search [149,521]-exponents: u = 163, v = 1398 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(149,521) = 0.6271912383768174054 D2(149,521) = 0.5498573418984545486 C1(149,521) = 0.7608787499812287988 C2(149,521) = 1.459217027454659833 C3(149,521) = 3.404804090744989938 C4(149,521) = 4168 Sum = 6241.245791317784944 Averaged sum = 0.6241869978315616505 logp*logq = 31.30343731234991217 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(149,521) = 0.6271912383768174054 D2(149,521) = 0.5498573418984545486 C1(149,521) = 0.7608787499812287988 C2(149,521) = 1.459217027454659833 C3(149,521) = 3.404804090744989938 C4(149,521) = 4168 Sum = 6241.245791317784944 Averaged sum = 0.6241869978315616505 logp*logq = 31.30343731234991217 -------------- ************************************* p = 149; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40108505856600.96946 -------------- Searches starting with [149,523]-exponents: u = 5, v = 267 n_start has 737 digits --- performed 5000 steps in the continued fraction search [149,523]-exponents: u = 291, v = 23 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(149,523) = 0.6223794546974347940 D2(149,523) = 0.2406137144419321264 C1(149,523) = 0.7948366589757735366 C2(149,523) = 1.379866539099503935 C3(149,523) = 3.596162624975238585 C4(149,523) = 4184 Sum = 5361.864663990199107 Averaged sum = 0.5362400904080607168 logp*logq = 31.32260954387233974 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(149,523) = 0.6223794546974347940 D2(149,523) = 0.2406137144419321264 C1(149,523) = 0.7948366589757735366 C2(149,523) = 1.379866539099503935 C3(149,523) = 3.596162624975238585 C4(149,523) = 4184 Sum = 5361.864663990199107 Averaged sum = 0.5362400904080607168 logp*logq = 31.32260954387233974 -------------- ************************************* p = 149; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47508613726999.74019 -------------- Searches starting with [149,541]-exponents: u = 5, v = 31 n_start has 96 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(149,541) = 0.6100846705002626953 D2(149,541) = 0.008032400980830289993 C1(149,541) = 0.8145761456843192530 C2(149,541) = 1.719370188397760186 C3(149,541) = 3.712302823437190962 C4(149,541) = 4328 Sum = 4400.435154771818952 Averaged sum = 0.4396478324279966982 logp*logq = 31.49193215214978666 -------------- ************************************* p = 149; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50204375285088.29362 -------------- Searches starting with [149,547]-exponents: u = 5, v = 23 n_start has 74 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(149,547) = 0.6309013364592533587 D2(149,547) = 0.08416761250089960654 C1(149,547) = 0.8761056825149915422 C2(149,547) = 1.797238634888800093 C3(149,547) = 4.098942051596256514 C4(149,547) = 4376 Sum = 4250.708092723442373 Averaged sum = 0.4246885895417566563 logp*logq = 31.54712329590174665 -------------- ************************************* p = 149; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54968256304067.35966 -------------- Searches starting with [149,557]-exponents: u = 5, v = 15 n_start has 53 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(149,557) = 0.9323412266655173475 D2(149,557) = 0.08853764768368600990 C1(149,557) = 1.219332187470350493 C2(149,557) = 1.881140802089777530 C3(149,557) = 7.123516132476681915 C4(149,557) = 4456 Sum = 4305.176033658614893 Averaged sum = 0.4301304859285258161 logp*logq = 31.63777697643329845 -------------- ************************************* p = 149; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57995770404134.66579 -------------- Searches starting with [149,563]-exponents: u = 5, v = 15 n_start has 53 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(149,563) = 0.7620390290616716518 D2(149,563) = 0.1584421828007136937 C1(149,563) = 1.041267590263012982 C2(149,563) = 1.952802547446590507 C3(149,563) = 5.347756059032659719 C4(149,563) = 4504 Sum = 4193.201343538394584 Averaged sum = 0.4189430855768203201 logp*logq = 31.69139119974923483 -------------- ************************************* p = 149; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61155264363744.86267 -------------- Searches starting with [149,569]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(149,569) = 0.6412362710744123570 D2(149,569) = 0.03030483970732486051 C1(149,569) = 0.8834668633334466243 C2(149,569) = 1.934180466909226228 C3(149,569) = 4.147816599994600546 C4(149,569) = 4552 Sum = 3999.700730622499437 Averaged sum = 0.3996104236809371003 logp*logq = 31.74443706370612926 -------------- ************************************* p = 149; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62238493328348.12750 -------------- Searches starting with [149,571]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(149,571) = 0.5857882074760677885 D2(149,571) = 0.04237204555180701358 C1(149,571) = 0.8245109931328096483 C2(149,571) = 1.946859796005955119 C3(149,571) = 3.772167422614077669 C4(149,571) = 4568 Sum = 4253.363531189412211 Averaged sum = 0.4249538946137888111 logp*logq = 31.76199478805625979 -------------- ************************************* p = 149; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65580618811344.00401 -------------- Searches starting with [149,577]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(149,577) = 0.7374538639603106410 D2(149,577) = 0.08059080487306762798 C1(149,577) = 0.9910718154983610723 C2(149,577) = 1.986901904303020691 C3(149,577) = 4.932522200687143260 C4(149,577) = 4616 Sum = 4428.645358263275527 Averaged sum = 0.4424663161417999328 logp*logq = 31.81430132327711014 -------------- ************************************* p = 149; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71468785043839.42510 -------------- Searches starting with [149,587]-exponents: u = 14, v = 7 n_start has 50 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(149,587) = 0.7520830986440213536 D2(149,587) = 0.1042387860207746269 C1(149,587) = 1.019264086058211075 C2(149,587) = 1.927244784775407075 C3(149,587) = 5.161598979141943339 C4(149,587) = 4696 Sum = 4695.510461947717273 Averaged sum = 0.4691288302475489333 logp*logq = 31.90028189748941945 -------------- ************************************* p = 149; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75199817920262.37843 -------------- Searches starting with [149,593]-exponents: u = 14, v = 7 n_start has 50 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(149,593) = 0.7070645001440718605 D2(149,593) = 0.08195071246268624767 C1(149,593) = 1.022367777335265616 C2(149,593) = 1.906917172763443806 C3(149,593) = 5.187459395932246965 C4(149,593) = 4744 Sum = 3799.890197840511713 Averaged sum = 0.3796473371805886415 logp*logq = 31.95116992560830439 -------------- ************************************* p = 149; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79085103609378.24509 -------------- Searches starting with [149,599]-exponents: u = 23, v = 7 n_start has 70 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(149,599) = 0.7838752002494047388 D2(149,599) = 0.05676151451750656794 C1(149,599) = 1.186432761266723788 C2(149,599) = 1.752213074146016260 C3(149,599) = 6.755965568694850898 C4(149,599) = 4792 Sum = 3797.426656200371050 Averaged sum = 0.3794012045359547457 logp*logq = 32.00154564944465627 -------------- ************************************* p = 149; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80415293035417.05035 -------------- Searches starting with [149,601]-exponents: u = 23, v = 7 n_start has 70 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(149,601) = 0.8439718454293154228 D2(149,601) = 0.05060261199205354361 C1(149,601) = 1.155901375405499718 C2(149,601) = 1.746621835077493927 C3(149,601) = 6.431857937948405900 C4(149,601) = 4808 Sum = 4841.548129433163848 Averaged sum = 0.4837194654244343938 logp*logq = 32.01822548590877893 -------------- ************************************* p = 149; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84513632662872.71647 -------------- Searches starting with [149,607]-exponents: u = 32, v = 7 n_start has 90 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(149,607) = 1.058265561554016566 D2(149,607) = 0.03120636635792502083 C1(149,607) = 1.455437418454435881 C2(149,607) = 1.643712007891311531 C3(149,607) = 10.41851412325967966 C4(149,607) = 4856 Sum = 5009.131564059443456 Averaged sum = 0.5004627399399983471 logp*logq = 32.06793397056729549 -------------- ************************************* p = 149; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88777425066965.40830 -------------- Searches starting with [149,613]-exponents: u = 59, v = 7 n_start has 148 digits starting right neighbors generation We generated 957 left neighbors We generated 9053 right neighbors We generated 10009 non-negative rho_i D1(149,613) = 0.7772161068615718000 D2(149,613) = 0.01388692309045706887 C1(149,613) = 1.084140143811138571 C2(149,613) = 1.480635304547085731 C3(149,613) = 5.729977374325521428 C4(149,613) = 4904 Sum = 3684.349905946614873 Averaged sum = 0.3681036972671210783 logp*logq = 32.11715351138786855 -------------- ************************************* p = 149; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91714317611747.33151 -------------- Searches starting with [149,617]-exponents: u = 104, v = 7 n_start has 246 digits starting right neighbors generation We generated 1927 left neighbors We generated 8083 right neighbors We generated 10009 non-negative rho_i D1(149,617) = 0.8834612820382211012 D2(149,617) = 0.004272863984144339010 C1(149,617) = 1.189760454319549067 C2(149,617) = 1.350749134476367679 C3(149,617) = 6.792263495743813729 C4(149,617) = 4936 Sum = 4237.859178098546649 Averaged sum = 0.4234048534417570835 logp*logq = 32.14969961835477317 -------------- ************************************* p = 149; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93211631699792.88139 -------------- Searches starting with [149,619]-exponents: u = 158, v = 7 n_start has 363 digits starting right neighbors generation We generated 3322 left neighbors We generated 6688 right neighbors We generated 10009 non-negative rho_i D1(149,619) = 0.7889637138069943404 D2(149,619) = 0.0001363564058148846238 C1(149,619) = 1.300347485329557187 C2(149,619) = 1.267338572011777983 C3(149,619) = 8.116138210690138733 C4(149,619) = 4952 Sum = 4612.409532371028232 Averaged sum = 0.4608262096484192459 logp*logq = 32.16589363347861299 -------------- ************************************* p = 149; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102611625802755.8981 -------------- Searches starting with [149,631]-exponents: u = 9, v = 52 n_start has 166 digits starting right neighbors generation We generated 1121 left neighbors We generated 8889 right neighbors We generated 10009 non-negative rho_i D1(149,631) = 0.9289834362706769235 D2(149,631) = 0.006589831017917249320 C1(149,631) = 1.284747576917215218 C2(149,631) = 1.449644618545488932 C3(149,631) = 7.914805026825279796 C4(149,631) = 5048 Sum = 3933.889083725648237 Averaged sum = 0.3930351767135226532 logp*logq = 32.26197235416360575 -------------- ************************************* p = 149; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111011218108508.5477 -------------- Searches starting with [149,641]-exponents: u = 9, v = 24 n_start has 87 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(149,641) = 0.9195218185651120262 D2(149,641) = 0.02627641334683634984 C1(149,641) = 1.350701496570501608 C2(149,641) = 1.657179919722762609 C3(149,641) = 8.801620328331637001 C4(149,641) = 5128 Sum = 3244.285763937243200 Averaged sum = 0.3241368532258210810 logp*logq = 32.34065237617487380 -------------- ************************************* p = 149; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112755289479830.9316 -------------- Searches starting with [149,643]-exponents: u = 9, v = 17 n_start has 68 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(149,643) = 0.5666901206394455361 D2(149,643) = 0.03178694927942502148 C1(149,643) = 0.7726375601826313439 C2(149,643) = 1.753064046768572339 C3(149,643) = 3.469886048059950267 C4(149,643) = 5144 Sum = 4159.007920029315970 Averaged sum = 0.4155268178668514307 logp*logq = 32.35624100655755511 -------------- ************************************* p = 149; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116309206173939.9946 -------------- Searches starting with [149,647]-exponents: u = 9, v = 17 n_start has 68 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(149,647) = 0.6698259810804114965 D2(149,647) = 0.04000974173002877346 C1(149,647) = 0.8955110886587039616 C2(149,647) = 1.762400842645726100 C3(149,647) = 4.229044201627565928 C4(149,647) = 5176 Sum = 4407.986186420468873 Averaged sum = 0.4404022566110969001 logp*logq = 32.38727333116756217 -------------- ************************************* p = 149; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121807608053056.2469 -------------- Searches starting with [149,653]-exponents: u = 9, v = 10 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(149,653) = 0.5871252459990450451 D2(149,653) = 0.05692122209708034330 C1(149,653) = 0.8209669472358916460 C2(149,653) = 1.922598224539155359 C3(149,653) = 3.750702033958089240 C4(149,653) = 5224 Sum = 4175.878388547819761 Averaged sum = 0.4172123477418143431 logp*logq = 32.43346393274337088 -------------- ************************************* p = 149; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 127512058609855.4710 -------------- Searches starting with [149,659]-exponents: u = 9, v = 10 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(149,659) = 0.6327766276618388027 D2(149,659) = 0.07090582667530543744 C1(149,659) = 0.8291980934726788622 C2(149,659) = 1.938235669951141928 C3(149,659) = 3.800744787714829249 C4(149,659) = 5272 Sum = 4085.577533103877380 Averaged sum = 0.4081903819666177819 logp*logq = 32.47923205338707491 -------------- ************************************* p = 149; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129460319714690.8941 -------------- Searches starting with [149,661]-exponents: u = 9, v = 10 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(149,661) = 0.6693260975089356211 D2(149,661) = 0.07565477190683263628 C1(149,661) = 0.8791799060396232671 C2(149,661) = 1.943532149561623860 C3(149,661) = 4.119282927611441529 C4(149,661) = 5288 Sum = 4229.158670517118008 Averaged sum = 0.4225355850251891305 logp*logq = 32.49439553864498627 -------------- ************************************* p = 149; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141656182495665.2961 -------------- Searches starting with [149,673]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(149,673) = 0.6549844812008837277 D2(149,673) = 0.07412011790047058939 C1(149,673) = 0.8865854120911765058 C2(149,673) = 2.076060714847579899 C3(149,673) = 4.168697539149235242 C4(149,673) = 5384 Sum = 4014.714481478392424 Averaged sum = 0.4011104487439696697 logp*logq = 32.58442398753333181 -------------- ************************************* p = 149; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145919627496139.8609 -------------- Searches starting with [149,677]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(149,677) = 0.7107482236483162504 D2(149,677) = 0.05178822503080359203 C1(149,677) = 0.9376710844030571660 C2(149,677) = 2.055033992855414455 C3(149,677) = 4.526111435635491647 C4(149,677) = 5416 Sum = 4217.581245952349967 Averaged sum = 0.4213788835999950012 logp*logq = 32.61407708945621693 -------------- ************************************* p = 149; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152506730178658.2768 -------------- Searches starting with [149,683]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(149,683) = 0.9389061726098617697 D2(149,683) = 0.02058576315796576486 C1(149,683) = 1.383419808015837316 C2(149,683) = 2.025774738935400288 C3(149,683) = 9.277756273886247076 C4(149,683) = 5464 Sum = 3603.369178379905859 Averaged sum = 0.3600129062223904345 logp*logq = 32.65822984332128305 -------------- ************************************* p = 149; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161657435876576.5287 -------------- Searches starting with [149,691]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(149,691) = 0.5864672363904608454 D2(149,691) = 0.1430763257402835056 C1(149,691) = 0.9198783259225396097 C2(149,691) = 1.890743021763199750 C3(149,691) = 4.398276635573656443 C4(149,691) = 5528 Sum = 4409.568277298934037 Averaged sum = 0.4405603234387984850 logp*logq = 32.71650061889712702 -------------- ************************************* p = 149; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173708137484910.4101 -------------- Searches starting with [149,701]-exponents: u = 17, v = 3 n_start has 46 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(149,701) = 0.7905579169270327359 D2(149,701) = 0.1104433645406275760 C1(149,701) = 1.108223321333269459 C2(149,701) = 2.014099418950468429 C3(149,701) = 5.956547063704275584 C4(149,701) = 5608 Sum = 3924.992191564417370 Averaged sum = 0.3921462874976938126 logp*logq = 32.78839763600522297 -------------- ************************************* p = 149; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 183857223805924.0944 -------------- Searches starting with [149,709]-exponents: u = 17, v = 3 n_start has 46 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(149,709) = 0.6412116283909202705 D2(149,709) = 0.04947329369826491415 C1(149,709) = 0.8649319374705020436 C2(149,709) = 1.955529528120657826 C3(149,709) = 4.025852299141196010 C4(149,709) = 5672 Sum = 4171.737548933275102 Averaged sum = 0.4167986361208187733 logp*logq = 32.84518061475012607 -------------- ************************************* p = 149; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 197205025487641.2743 -------------- Searches starting with [149,719]-exponents: u = 21, v = 3 n_start has 55 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(149,719) = 0.6644378883646307152 D2(149,719) = 0.1223471139161342670 C1(149,719) = 0.8744787608084143962 C2(149,719) = 1.952851836419015515 C3(149,719) = 4.088218052707684547 C4(149,719) = 5752 Sum = 4277.920555797788781 Averaged sum = 0.4274073889297421102 logp*logq = 32.91526504198961395 -------------- ************************************* p = 149; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 208432071391374.6820 -------------- Searches starting with [149,727]-exponents: u = 25, v = 3 n_start has 63 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(149,727) = 0.6229186406454643234 D2(149,727) = 0.04662329137615591161 C1(149,727) = 0.8524763243791405403 C2(149,727) = 1.879391900036994815 C3(149,727) = 3.945912673646320054 C4(149,727) = 5816 Sum = 4381.491565849994620 Averaged sum = 0.4377551769257662723 logp*logq = 32.97063430740008051 -------------- ************************************* p = 149; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 217183311156379.3149 -------------- Searches starting with [149,733]-exponents: u = 29, v = 3 n_start has 72 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(149,733) = 0.7840916546933810758 D2(149,733) = 0.1036173339297097038 C1(149,733) = 1.006234300102174424 C2(149,733) = 1.877056733967025014 C3(149,733) = 5.054432089208562359 C4(149,733) = 5864 Sum = 3549.429717405439546 Averaged sum = 0.3546238103112638172 logp*logq = 33.01176286473967297 -------------- ************************************* p = 149; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226226116656647.2727 -------------- Searches starting with [149,739]-exponents: u = 33, v = 3 n_start has 81 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(149,739) = 1.196296901898740833 D2(149,739) = 0.03917652308956581256 C1(149,739) = 1.747220751735939053 C2(149,739) = 1.814237807200964262 C3(149,739) = 16.66685120250093885 C4(149,739) = 5912 Sum = 2979.226065663779388 Averaged sum = 0.2976547173207892285 logp*logq = 33.05255613119797566 -------------- ************************************* p = 149; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 232420199177148.7085 -------------- Searches starting with [149,743]-exponents: u = 33, v = 3 n_start has 81 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(149,743) = 0.9166252094516765333 D2(149,743) = 0.002000877520240419248 C1(149,743) = 1.213613332508371539 C2(149,743) = 1.778136076778173688 C3(149,743) = 7.058219247626430697 C4(149,743) = 5944 Sum = 4431.475381564486453 Averaged sum = 0.4427490639988496806 logp*logq = 33.07956805269368875 -------------- ************************************* p = 149; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 245215455766983.8437 -------------- Searches starting with [149,751]-exponents: u = 41, v = 3 n_start has 98 digits starting right neighbors generation We generated 420 left neighbors We generated 9590 right neighbors We generated 10009 non-negative rho_i D1(149,751) = 0.9438372034293528808 D2(149,751) = 0.05722340162926705690 C1(149,751) = 1.255576794232490400 C2(149,751) = 1.744931183820193084 C3(149,751) = 7.551630360819503909 C4(149,751) = 6008 Sum = 4537.117658186695149 Averaged sum = 0.4533037924055045608 logp*logq = 33.13315835131152729 -------------- ************************************* p = 149; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 255176802202966.9352 -------------- Searches starting with [149,757]-exponents: u = 49, v = 3 n_start has 116 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(149,757) = 0.5995719001591987865 D2(149,757) = 0.03558565359954815775 C1(149,757) = 0.8427476036462623447 C2(149,757) = 1.689753563183755054 C3(149,757) = 3.884579843373468457 C4(149,757) = 6056 Sum = 4339.096844630807065 Averaged sum = 0.4335195168978726212 logp*logq = 33.17297776280889244 -------------- ************************************* p = 149; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 261995667259258.1196 -------------- Searches starting with [149,761]-exponents: u = 57, v = 3 n_start has 133 digits **************************************************** Computing .... elapsed time = 20 minutes **************************************************** starting right neighbors generation We generated 856 left neighbors We generated 9154 right neighbors We generated 10009 non-negative rho_i D1(149,761) = 0.6399866678063195618 D2(149,761) = 0.02685569099995592981 C1(149,761) = 0.8559983737035754897 C2(149,761) = 1.651617004983075999 C3(149,761) = 3.968354699569478684 C4(149,761) = 6088 Sum = 4500.669571610598701 Averaged sum = 0.4496622611260464283 logp*logq = 33.19934908237450030 -------------- ************************************* p = 149; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 276070783170874.7095 -------------- Searches starting with [149,769]-exponents: u = 81, v = 3 n_start has 185 digits starting right neighbors generation We generated 1780 left neighbors We generated 8230 right neighbors We generated 10009 non-negative rho_i D1(149,769) = 0.5904361971634813865 D2(149,769) = 0.006529009787728730655 C1(149,769) = 0.7764187258714656777 C2(149,769) = 1.561348070956818716 C3(149,769) = 3.491077014696953945 C4(149,769) = 6152 Sum = 4119.672114038813500 Averaged sum = 0.4115967743070050455 logp*logq = 33.25167840952929684 -------------- ************************************* p = 149; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 283331662221463.2450 -------------- Searches starting with [149,773]-exponents: u = 101, v = 3 n_start has 229 digits starting right neighbors generation We generated 2703 left neighbors We generated 7307 right neighbors We generated 10009 non-negative rho_i D1(149,773) = 0.6067303316070738944 D2(149,773) = 0.007319223239900856824 C1(149,773) = 0.8184200317076745637 C2(149,773) = 1.509904058801972348 C3(149,773) = 3.735351484265312121 C4(149,773) = 6184 Sum = 4207.262775847033874 Averaged sum = 0.4203479644167283319 logp*logq = 33.27763927868551271 -------------- ************************************* p = 149; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 309957439135046.3570 -------------- Searches starting with [149,787]-exponents: u = 597, v = 3 n_start has 1307 digits --- performed 5000 steps in the continued fraction search [149,787]-exponents: u = 134, v = 342 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(149,787) = 0.5710243429388625539 D2(149,787) = 0.3169471868433945804 C1(149,787) = 0.7148745712392993543 C2(149,787) = 1.414390877738694488 C3(149,787) = 3.161701201994505682 C4(149,787) = 6296 Sum = 5616.202008023427663 Averaged sum = 0.5616763684391866850 logp*logq = 33.36745611086942433 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(149,787) = 0.5710243429388625539 D2(149,787) = 0.3169471868433945804 C1(149,787) = 0.7148745712392993543 C2(149,787) = 1.414390877738694488 C3(149,787) = 3.161701201994505682 C4(149,787) = 6296 Sum = 5616.202008023427663 Averaged sum = 0.5616763684391866850 logp*logq = 33.36745611086942433 -------------- ************************************* p = 149; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 330173071001885.3230 -------------- Searches starting with [149,797]-exponents: u = 4, v = 185 n_start has 546 digits --- performed 5000 steps in the continued fraction search [149,797]-exponents: u = 189, v = 25 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(149,797) = 0.5742885986993252250 D2(149,797) = 0.09534795441078476319 C1(149,797) = 0.7421361217197596935 C2(149,797) = 1.370356782829446988 C3(149,797) = 3.303582609026498615 C4(149,797) = 6376 Sum = 5094.950117138129868 Averaged sum = 0.5095459663104440312 logp*logq = 33.43063809049073354 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(149,797) = 0.5742885986993252250 D2(149,797) = 0.09534795441078476319 C1(149,797) = 0.7421361217197596935 C2(149,797) = 1.370356782829446988 C3(149,797) = 3.303582609026498615 C4(149,797) = 6376 Sum = 5094.950117138129868 Averaged sum = 0.5095459663104440312 logp*logq = 33.43063809049073354 -------------- ************************************* p = 149; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 355810092484201.1674 -------------- Searches starting with [149,809]-exponents: u = 4, v = 68 n_start has 207 digits starting right neighbors generation We generated 2208 left neighbors We generated 7802 right neighbors We generated 10009 non-negative rho_i D1(149,809) = 0.5848400161662387797 D2(149,809) = 0.001352380180937547808 C1(149,809) = 0.7916363627973332213 C2(149,809) = 1.537229113685559950 C3(149,809) = 3.577678536434777071 C4(149,809) = 6472 Sum = 4587.139533018679845 Averaged sum = 0.4583014819680966974 logp*logq = 33.50541825636844525 -------------- ************************************* p = 149; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 360233549492757.4269 -------------- Searches starting with [149,811]-exponents: u = 4, v = 62 n_start has 190 digits starting right neighbors generation We generated 1823 left neighbors We generated 8187 right neighbors We generated 10009 non-negative rho_i D1(149,811) = 0.6947995092402881262 D2(149,811) = 0.009360310397880017684 C1(149,811) = 0.9126399964437332693 C2(149,811) = 1.564246110122936656 C3(149,811) = 4.347310760292964890 C4(149,811) = 6488 Sum = 4126.111737856886978 Averaged sum = 0.4122401576438092695 logp*logq = 33.51777368562329929 -------------- ************************************* p = 149; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 383015787354390.7333 -------------- Searches starting with [149,821]-exponents: u = 4, v = 41 n_start has 129 digits starting right neighbors generation We generated 817 left neighbors We generated 9193 right neighbors We generated 10009 non-negative rho_i D1(149,821) = 0.6127693439284045790 D2(149,821) = 0.01093565957338350717 C1(149,821) = 0.8547530587498741831 C2(149,821) = 1.665440872826599105 C3(149,821) = 3.960405170635575961 C4(149,821) = 6568 Sum = 4370.350083635961424 Averaged sum = 0.4366420305361136401 logp*logq = 33.57909732450611419 -------------- ************************************* p = 149; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 387707529884145.0162 -------------- Searches starting with [149,823]-exponents: u = 4, v = 38 n_start has 120 digits starting right neighbors generation We generated 643 left neighbors We generated 9367 right neighbors We generated 10009 non-negative rho_i D1(149,823) = 0.7566328943636652438 D2(149,823) = 0.03634068648629399920 C1(149,823) = 1.060663169637345890 C2(149,823) = 1.691199306481427384 C3(149,823) = 5.517408788065666307 C4(149,823) = 6584 Sum = 4690.555972165025204 Averaged sum = 0.4686338267724073538 logp*logq = 33.59127238235168779 -------------- ************************************* p = 149; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 397228972676577.3052 -------------- Searches starting with [149,827]-exponents: u = 4, v = 35 n_start has 111 digits starting right neighbors generation We generated 588 left neighbors We generated 9422 right neighbors We generated 10009 non-negative rho_i D1(149,827) = 0.6998861743208786151 D2(149,827) = 0.03218476006491221273 C1(149,827) = 0.9456841049934175604 C2(149,827) = 1.720958517080322217 C3(149,827) = 4.584889243424730517 C4(149,827) = 6616 Sum = 4414.192087236731151 Averaged sum = 0.4410222886638756270 logp*logq = 33.61553398772686190 -------------- ************************************* p = 149; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 402059345964623.6571 -------------- Searches starting with [149,829]-exponents: u = 4, v = 32 n_start has 103 digits starting right neighbors generation We generated 438 left neighbors We generated 9572 right neighbors We generated 10009 non-negative rho_i D1(149,829) = 0.6950475987828888736 D2(149,829) = 0.05627317849648808753 C1(149,829) = 0.9857336788839186065 C2(149,829) = 1.745403616391785416 C3(149,829) = 4.890305856306713175 C4(149,829) = 6632 Sum = 4342.076745388066499 Averaged sum = 0.4338172390236853331 logp*logq = 33.62762082042947964 -------------- ************************************* p = 149; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 426921339463060.6670 -------------- Searches starting with [149,839]-exponents: u = 4, v = 26 n_start has 85 digits starting right neighbors generation We generated 352 left neighbors We generated 9658 right neighbors We generated 10009 non-negative rho_i D1(149,839) = 0.6560666713540574861 D2(149,839) = 0.02066710493307924901 C1(149,839) = 0.9015159623004275902 C2(149,839) = 1.796382214122219442 C3(149,839) = 4.270134046226708502 C4(149,839) = 6712 Sum = 4336.062214290561576 Averaged sum = 0.4332163267349946624 logp*logq = 33.68762089547304611 -------------- ************************************* p = 149; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 463779531397063.1417 -------------- Searches starting with [149,853]-exponents: u = 4, v = 20 n_start has 68 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(149,853) = 0.6029124590056640350 D2(149,853) = 0.04424532790826521066 C1(149,853) = 0.8420125730213300752 C2(149,853) = 1.878821870967097465 C3(149,853) = 3.879984906267745961 C4(149,853) = 6824 Sum = 4008.891973453900773 Averaged sum = 0.4005287214960436380 logp*logq = 33.77043040738513615 -------------- ************************************* p = 149; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 474764840716804.8392 -------------- Searches starting with [149,857]-exponents: u = 4, v = 20 n_start has 68 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(149,857) = 0.6638501316574512302 D2(149,857) = 0.07602302961937803298 C1(149,857) = 0.9882108632745320705 C2(149,857) = 1.911339729322929295 C3(149,857) = 4.909851405394918898 C4(149,857) = 6856 Sum = 4032.675299355807130 Averaged sum = 0.4029049155116202548 logp*logq = 33.79384072519935057 -------------- ************************************* p = 149; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 480335023016539.6041 -------------- Searches starting with [149,859]-exponents: u = 4, v = 17 n_start has 59 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(149,859) = 0.9631732120218199350 D2(149,859) = 0.09298112185983331220 C1(149,859) = 1.433744858046635389 C2(149,859) = 1.928666588230262746 C3(149,859) = 10.06087847220946203 C4(149,859) = 6872 Sum = 4321.923809071543031 Averaged sum = 0.4318037575253814598 logp*logq = 33.80550494098425142 -------------- ************************************* p = 149; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 491632263039113.5795 -------------- Searches starting with [149,863]-exponents: u = 4, v = 17 n_start has 59 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(149,863) = 0.5882126396986591021 D2(149,863) = 0.1295575362459367489 C1(149,863) = 0.7837382473368965472 C2(149,863) = 1.965977933086226701 C3(149,863) = 3.532466594411869336 C4(149,863) = 6904 Sum = 4370.619009715338170 Averaged sum = 0.4366688989624675962 logp*logq = 33.82875212010633158 -------------- ************************************* p = 149; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 532858556093812.7174 -------------- Searches starting with [149,877]-exponents: u = 4, v = 14 n_start has 50 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(149,877) = 0.7153793975722803721 D2(149,877) = 0.08382024944540387209 C1(149,877) = 0.9913296264906067535 C2(149,877) = 1.994174793981401406 C3(149,877) = 4.934570284356848810 C4(149,877) = 7016 Sum = 4410.321601312412186 Averaged sum = 0.4406355881019494641 logp*logq = 33.90927713169435899 -------------- ************************************* p = 149; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 545131550051560.9983 -------------- Searches starting with [149,881]-exponents: u = 4, v = 14 n_start has 50 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(149,881) = 1.056158766983761597 D2(149,881) = 0.1115867083527176330 C1(149,881) = 1.397879924974675188 C2(149,881) = 2.022686424370289527 C3(149,881) = 9.496314780384177254 C4(149,881) = 7048 Sum = 4417.589074802571343 Averaged sum = 0.4413616819664872957 logp*logq = 33.93204825770663053 -------------- ************************************* p = 149; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 551352286704437.0040 -------------- Searches starting with [149,883]-exponents: u = 4, v = 14 n_start has 50 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(149,883) = 0.8243508722646239556 D2(149,883) = 0.1262969830423025796 C1(149,883) = 1.147248621588941975 C2(149,883) = 2.037767998809049409 C3(149,883) = 6.342864931000365630 C4(149,883) = 7064 Sum = 4063.142609857073788 Averaged sum = 0.4059489069694348874 logp*logq = 33.94339507958892630 -------------- ************************************* p = 149; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 563964162960960.3536 -------------- Searches starting with [149,887]-exponents: u = 4, v = 14 n_start has 50 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(149,887) = 0.6752250393029272632 D2(149,887) = 0.1320375772170208815 C1(149,887) = 1.044545283962372121 C2(149,887) = 1.466506989186320430 C3(149,887) = 5.376055222154679044 C4(149,887) = 7096 Sum = 4284.893448957296510 Averaged sum = 0.4281040512496050065 logp*logq = 33.96601182455844074 -------------- ************************************* p = 149; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 630533344800109.7518 -------------- Searches starting with [149,907]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(149,907) = 0.6457430559116217912 D2(149,907) = 0.06368492560117427324 C1(149,907) = 0.9129248655204022364 C2(149,907) = 2.074810066970045548 C3(149,907) = 4.349305345857251908 C4(149,907) = 7256 Sum = 3997.059074786326362 Averaged sum = 0.3993464956325633292 logp*logq = 34.07758715621599606 -------------- ************************************* p = 149; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 644571426895352.8468 -------------- Searches starting with [149,911]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(149,911) = 0.7278999296372438089 D2(149,911) = 0.08264415233430609586 C1(149,911) = 0.9476912623161367625 C2(149,911) = 2.094523904879390329 C3(149,911) = 4.599731479492003930 C4(149,911) = 7288 Sum = 3737.685838888125201 Averaged sum = 0.3734324946436332502 logp*logq = 34.09960675745083494 -------------- ************************************* p = 149; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 673397820689297.6882 -------------- Searches starting with [149,919]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(149,919) = 1.341286884580662300 D2(149,919) = 0.06753942517933726775 C1(149,919) = 2.138838034217487036 C2(149,919) = 1.153118536006221451 C3(149,919) = 31.31240850514663068 C4(149,919) = 7352 Sum = 2333.953614830214226 Averaged sum = 0.2331854945379372790 logp*logq = 34.14335738637065634 -------------- ************************************* p = 149; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 710871770119460.3548 -------------- Searches starting with [149,929]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(149,929) = 0.6709973075463125229 D2(149,929) = 0.09797495880680682795 C1(149,929) = 0.9394159598171783515 C2(149,929) = 1.966727621552498366 C3(149,929) = 4.538846084737307438 C4(149,929) = 7432 Sum = 3641.612411350168233 Averaged sum = 0.3638337907233657941 logp*logq = 34.19751317801708791 -------------- ************************************* p = 149; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 742036636275732.9606 -------------- Searches starting with [149,937]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(149,937) = 0.6183149649657053816 D2(149,937) = 0.08424457749228200916 C1(149,937) = 0.8551045370192909094 C2(149,937) = 1.954595332693761799 C3(149,937) = 3.962647234958793837 C4(149,937) = 7496 Sum = 3952.137590625690420 Averaged sum = 0.3948583865147058068 logp*logq = 34.24041973291170230 -------------- ************************************* p = 149; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 758023747584155.5634 -------------- Searches starting with [149,941]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(149,941) = 0.9312670656467274092 D2(149,941) = 0.07762016529322828327 C1(149,941) = 1.391532446712779256 C2(149,941) = 1.948764768308988335 C3(149,941) = 9.399748423753233011 C4(149,941) = 7528 Sum = 3618.560132313723473 Averaged sum = 0.3615306356592789962 logp*logq = 34.26173583034686463 -------------- ************************************* p = 149; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 782520065548715.2861 -------------- Searches starting with [149,947]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(149,947) = 1.001438764703415707 D2(149,947) = 0.06291367208656991358 C1(149,947) = 1.390647348634456115 C2(149,947) = 1.796179052628629757 C3(149,947) = 9.386361362451883265 C4(149,947) = 7576 Sum = 4991.091853875784268 Averaged sum = 0.4986603910356463450 logp*logq = 34.29354068088784118 -------------- ************************************* p = 149; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 807645755859301.3427 -------------- Searches starting with [149,953]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(149,953) = 0.5777853789414698030 D2(149,953) = 0.05150328886666971998 C1(149,953) = 0.7714492969726962227 C2(149,953) = 1.697724906350047743 C3(149,953) = 3.463253208175322559 C4(149,953) = 7624 Sum = 4287.957815120691505 Averaged sum = 0.4284102123209802683 logp*logq = 34.32514465734886127 -------------- ************************************* p = 149; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 868787925980317.5383 -------------- Searches starting with [149,967]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(149,967) = 0.7422350249783520397 D2(149,967) = 0.01795204967182306755 C1(149,967) = 1.240846578713320722 C2(149,967) = 2.177945885610642894 C3(149,967) = 7.374620867165689574 C4(149,967) = 7736 Sum = 4150.417404268512067 Averaged sum = 0.4146685387419834216 logp*logq = 34.39812016765934525 -------------- ************************************* p = 149; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 886920372133889.7923 -------------- Searches starting with [149,971]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(149,971) = 1.017538386055633398 D2(149,971) = 0.02017769672351719491 C1(149,971) = 1.700919449755960121 C2(149,971) = 1.195272462535270625 C3(149,971) = 15.46943572742601097 C4(149,971) = 7768 Sum = 3847.871647971944309 Averaged sum = 0.3844411677462228303 logp*logq = 34.41877632209325159 -------------- ************************************* p = 149; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 914685632215109.4668 -------------- Searches starting with [149,977]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(149,977) = 0.8509536886527497118 D2(149,977) = 0.02624603518886640352 C1(149,977) = 1.422383351825732700 C2(149,977) = 2.086314767398241626 C3(149,977) = 9.878492129365119402 C4(149,977) = 7816 Sum = 4326.584239359312994 Averaged sum = 0.4322693814925879703 logp*logq = 34.44960155082030423 -------------- ************************************* p = 149; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 943142077341471.3315 -------------- Searches starting with [149,983]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(149,983) = 0.9003827429048430692 D2(149,983) = 0.01738216838609026303 C1(149,983) = 1.227596418896026974 C2(149,983) = 2.078708427057783247 C3(149,983) = 7.218944346327697013 C4(149,983) = 7864 Sum = 4033.780533639857336 Averaged sum = 0.4030153395583831888 logp*logq = 34.48023805247450450 -------------- ************************************* p = 149; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 982181377958310.1022 -------------- Searches starting with [149,991]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(149,991) = 0.7503847790335277665 D2(149,991) = 0.005915262028173253031 C1(149,991) = 0.9941967027008079925 C2(149,991) = 2.068906127087464759 C3(149,991) = 4.957404101596805469 C4(149,991) = 7928 Sum = 4331.722909743818984 Averaged sum = 0.4327827864665619926 logp*logq = 34.52079710983279177 -------------- ************************************* p = 149; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1012300753446415.418 -------------- Searches starting with [149,997]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(149,997) = 0.6713890585931315266 D2(149,997) = 0.08075850936364803596 C1(149,997) = 0.8800216050362776961 C2(149,997) = 1.796229762306305620 C3(149,997) = 4.124869685326812486 C4(149,997) = 7976 Sum = 4127.302296342655781 Averaged sum = 0.4123591064384709543 logp*logq = 34.55100210882460564 -------------- ************************************* p = 151; q = 157; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104098159172.9588927 -------------- Searches starting with [151,157]-exponents: u = 1, v = 128 n_start has 284 digits starting right neighbors generation We generated 2298 left neighbors We generated 7712 right neighbors We generated 10009 non-negative rho_i D1(151,157) = 0.7206074189281279382 D2(151,157) = 0.0003445241315150854912 C1(151,157) = 0.9593851849782128704 C2(151,157) = 1.127597796836955300 C3(151,157) = 4.699145938899372290 C4(151,157) = 1256 Sum = 5216.324498599416370 Averaged sum = 0.5211634027974239554 logp*logq = 25.36860012915410469 -------------- ************************************* p = 151; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125650512067.9828760 -------------- Searches starting with [151,163]-exponents: u = 1, v = 65 n_start has 146 digits starting right neighbors generation We generated 624 left neighbors We generated 9386 right neighbors We generated 10009 non-negative rho_i D1(151,163) = 0.6257642130345551299 D2(151,163) = 0.01244952755435251954 C1(151,163) = 0.8321488196347411202 C2(151,163) = 1.277324992198701312 C3(151,163) = 3.827312195564024107 C4(151,163) = 1304 Sum = 4905.798303764960372 Averaged sum = 0.4901387055415086794 logp*logq = 25.55677017627974056 -------------- ************************************* p = 151; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141902659070.5273728 -------------- Searches starting with [151,167]-exponents: u = 1, v = 49 n_start has 112 digits starting right neighbors generation We generated 379 left neighbors We generated 9631 right neighbors We generated 10009 non-negative rho_i D1(151,167) = 0.7187300068154574993 D2(151,167) = 0.002443475792277190929 C1(151,167) = 1.013562752520886197 C2(151,167) = 1.336793716706128732 C3(151,167) = 5.128243082050299644 C4(151,167) = 1336 Sum = 4897.750737113099804 Averaged sum = 0.4893346725060545312 logp*logq = 25.67840715998212950 -------------- ************************************* p = 151; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169396170101.9319834 -------------- Searches starting with [151,173]-exponents: u = 1, v = 36 n_start has 83 digits starting right neighbors generation We generated 212 left neighbors We generated 9798 right neighbors We generated 10009 non-negative rho_i D1(151,173) = 0.7964660916851885754 D2(151,173) = 0.01122506392069714842 C1(151,173) = 1.149615263385265900 C2(151,173) = 1.427915906926082575 C3(151,173) = 6.386590595543304604 C4(151,173) = 1384 Sum = 4807.461028094675599 Averaged sum = 0.4803138203711335397 logp*logq = 25.85550601030153755 -------------- ************************************* p = 151; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200999088350.3409145 -------------- Searches starting with [151,179]-exponents: u = 1, v = 29 n_start has 68 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(151,179) = 1.114774352338977794 D2(151,179) = 0.04242100377375038195 C1(151,179) = 1.552152425147206027 C2(151,179) = 1.524138724008957395 C3(151,179) = 12.22457046679887910 C4(151,179) = 1432 Sum = 5450.128271836708597 Averaged sum = 0.5445227567026384850 logp*logq = 26.02656620942475797 -------------- ************************************* p = 151; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 212522634878.2098722 -------------- Searches starting with [151,181]-exponents: u = 1, v = 27 n_start has 64 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(151,181) = 0.7452606981341403299 D2(151,181) = 0.01052647912457306368 C1(151,181) = 1.015115889210139847 C2(151,181) = 1.518462687234298390 C3(151,181) = 5.141105616371171991 C4(151,181) = 1448 Sum = 4687.232062681590645 Averaged sum = 0.4683017347069228340 logp*logq = 26.08231433671227078 -------------- ************************************* p = 151; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278344548958.6581588 -------------- Searches starting with [151,191]-exponents: u = 1, v = 21 n_start has 51 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(151,191) = 0.7556668218571352713 D2(151,191) = 0.06617211201097758171 C1(151,191) = 1.045537345876387667 C2(151,191) = 1.658949800128733512 C3(151,191) = 5.399652268713195380 C4(151,191) = 1528 Sum = 4821.603436635424108 Averaged sum = 0.4817267895529447605 logp*logq = 26.35212556797715833 -------------- ************************************* p = 151; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 293278753902.3832092 -------------- Searches starting with [151,193]-exponents: u = 1, v = 20 n_start has 48 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(151,193) = 1.628182940694735068 D2(151,193) = 0.04309071002118411981 C1(151,193) = 2.127181839001247798 C2(151,193) = 1.656386466668337252 C3(151,193) = 30.90462642879071761 C4(151,193) = 1544 Sum = 4098.200761605153666 Averaged sum = 0.4094515697477423985 logp*logq = 26.40438937219620747 -------------- ************************************* p = 151; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 325071677782.5742985 -------------- Searches starting with [151,197]-exponents: u = 1, v = 18 n_start has 44 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(151,197) = 0.7218900625792643193 D2(151,197) = 0.09815654734746594762 C1(151,197) = 1.110552218067220719 C2(151,197) = 1.735119868574123127 C3(151,197) = 5.996621689466289711 C4(151,197) = 1576 Sum = 4545.361692088005937 Averaged sum = 0.4541274544997508179 logp*logq = 26.50731154198253471 -------------- ************************************* p = 151; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 341970928908.7848684 -------------- Searches starting with [151,199]-exponents: u = 1, v = 18 n_start has 44 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(151,199) = 0.6572343214715955164 D2(151,199) = 0.04368541631000436567 C1(151,199) = 1.017313031472215962 C2(151,199) = 1.704576167005029447 C3(151,199) = 5.159356699151127469 C4(151,199) = 1592 Sum = 4588.336308691676453 Averaged sum = 0.4584210519224374516 logp*logq = 26.55799156720535283 -------------- ************************************* p = 151; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 458749388150.9600164 -------------- Searches starting with [151,211]-exponents: u = 1, v = 14 n_start has 35 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(151,211) = 1.499139408212387870 D2(151,211) = 0.01212325894313975345 C1(151,211) = 2.371228306577737418 C2(151,211) = 1.763799582323521187 C3(151,211) = 45.81105764103420326 C4(151,211) = 1688 Sum = 5492.956159545345342 Averaged sum = 0.5488016944295479410 logp*logq = 26.85176990258342442 -------------- ************************************* p = 151; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 605483956401.4437705 -------------- Searches starting with [151,223]-exponents: u = 1, v = 12 n_start has 31 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(151,223) = 0.6923886629708629151 D2(151,223) = 0.1441975910408049522 C1(151,223) = 1.115549349581079396 C2(151,223) = 1.331895400511300335 C3(151,223) = 6.045148635647694058 C4(151,223) = 1784 Sum = 4632.971569937496881 Averaged sum = 0.4628805644857125468 logp*logq = 27.12929390314168995 -------------- ************************************* p = 151; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 661974146462.1243931 -------------- Searches starting with [151,227]-exponents: u = 1, v = 12 n_start has 31 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(151,227) = 0.8800246500171571467 D2(151,227) = 0.08587821284168906777 C1(151,227) = 1.155456595357864522 C2(151,227) = 1.921184601729369640 C3(151,227) = 6.447045647066968732 C4(151,227) = 1816 Sum = 4321.805085342374755 Averaged sum = 0.4317918958279922824 logp*logq = 27.21849233843821290 -------------- ************************************* p = 151; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 691759263754.4775086 -------------- Searches starting with [151,229]-exponents: u = 1, v = 12 n_start has 31 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(151,229) = 0.9343625512271951579 D2(151,229) = 0.09151248780439436778 C1(151,229) = 1.521977290139128725 C2(151,229) = 1.132351817364440611 C3(151,229) = 11.64385750661805149 C4(151,229) = 1832 Sum = 4143.546296014639144 Averaged sum = 0.4139820457602796627 logp*logq = 27.26250384729027918 -------------- ************************************* p = 151; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 754548446207.3584872 -------------- Searches starting with [151,233]-exponents: u = 1, v = 11 n_start has 29 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(151,233) = 0.7059051920733670168 D2(151,233) = 0.006775347642995768670 C1(151,233) = 0.9601960809013658693 C2(151,233) = 1.890152828891029421 C3(151,233) = 4.705295898656234996 C4(151,233) = 1864 Sum = 4438.743033055780769 Averaged sum = 0.4434751756474953311 logp*logq = 27.34938532277799560 -------------- ************************************* p = 151; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 857211191343.6419585 -------------- Searches starting with [151,239]-exponents: u = 1, v = 10 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(151,239) = 0.8229116130037792205 D2(151,239) = 0.09442532774051088339 C1(151,239) = 1.357042020407683847 C2(151,239) = 1.219108227825347832 C3(151,239) = 8.924110723767583312 C4(151,239) = 1912 Sum = 4587.511420338755607 Averaged sum = 0.4583386372603412536 logp*logq = 27.47695015615781071 -------------- ************************************* p = 151; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 893811789282.9721415 -------------- Searches starting with [151,241]-exponents: u = 1, v = 10 n_start has 26 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(151,241) = 0.6152052201695775400 D2(151,241) = 0.1112911702119463560 C1(151,241) = 0.8729244485223455196 C2(151,241) = 1.738115296871834388 C3(151,241) = 4.087482682626376419 C4(151,241) = 1928 Sum = 4446.341980068950880 Averaged sum = 0.4442343870585423998 logp*logq = 27.51876106342699086 -------------- ************************************* p = 151; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1096060628364.985979 -------------- Searches starting with [151,251]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(151,251) = 0.8056939946779192013 D2(151,251) = 0.09062750240041006405 C1(151,251) = 1.096674928017363598 C2(151,251) = 1.763028504007201002 C3(151,251) = 5.863893163631698907 C4(151,251) = 2008 Sum = 4945.917318019590226 Averaged sum = 0.4941469995024068564 logp*logq = 27.72274362077566067 -------------- ************************************* p = 151; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1233982122289.123924 -------------- Searches starting with [151,257]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(151,257) = 0.6415377131050590768 D2(151,257) = 0.07112481629788670548 C1(151,257) = 0.8827107616926711403 C2(151,257) = 1.604517807367256695 C3(151,257) = 4.152512305340763110 C4(151,257) = 2056 Sum = 4218.307200607097410 Averaged sum = 0.4214514137883002708 logp*logq = 27.84126755369668757 -------------- ************************************* p = 151; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1385463800160.828388 -------------- Searches starting with [151,263]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(151,263) = 0.9560072373019812663 D2(151,263) = 0.04214790274801472756 C1(151,263) = 1.625795792093148159 C2(151,263) = 1.121529601488412492 C3(151,263) = 13.76633881551090219 C4(151,263) = 2104 Sum = 4393.378329342335918 Averaged sum = 0.4389427844282481685 logp*logq = 27.95705607327247713 -------------- ************************************* p = 151; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1551483363107.188501 -------------- Searches starting with [151,269]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(151,269) = 0.6495345018997625455 D2(151,269) = 0.05560707651608125738 C1(151,269) = 0.9606770332311489287 C2(151,269) = 1.786124083007752260 C3(151,269) = 4.708947317219474200 C4(151,269) = 2152 Sum = 4350.314758020098447 Averaged sum = 0.4346402995324306571 logp*logq = 28.07023259767531547 -------------- ************************************* p = 151; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1610229455060.347294 -------------- Searches starting with [151,271]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(151,271) = 0.5966076994721203388 D2(151,271) = 0.05180989876663415424 C1(151,271) = 0.8254668068411772030 C2(151,271) = 1.783757180147781829 C3(151,271) = 3.786285436173602760 C4(151,271) = 2168 Sum = 4452.553316843072264 Averaged sum = 0.4448549622183107467 logp*logq = 28.10739780344112203 -------------- ************************************* p = 151; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1797233466953.123329 -------------- Searches starting with [151,277]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(151,277) = 0.6025391315643371236 D2(151,277) = 0.03505102805934971298 C1(151,277) = 0.8126653586503575156 C2(151,277) = 1.526859025225701886 C3(151,277) = 3.708910402085050948 C4(151,277) = 2216 Sum = 4448.878441724402907 Averaged sum = 0.4444878051478072641 logp*logq = 28.21726963568788739 -------------- ************************************* p = 151; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1931278230575.756391 -------------- Searches starting with [151,281]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(151,281) = 0.7870824035116334391 D2(151,281) = 0.01288058491843079087 C1(151,281) = 1.365129468492955879 C2(151,281) = 2.112674102379544003 C3(151,281) = 9.041280668517723004 C4(151,281) = 2248 Sum = 4689.173569756947432 Averaged sum = 0.4684957108359423950 logp*logq = 28.28920319525948258 -------------- ************************************* p = 151; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2001237568468.630544 -------------- Searches starting with [151,283]-exponents: u = 9, v = 7 n_start has 37 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(151,283) = 1.264326561694679873 D2(151,283) = 0.01869248292688262462 C1(151,283) = 2.192414232582758531 C2(151,283) = 0.9697312374781940454 C3(151,283) = 34.33339291745629544 C4(151,283) = 2264 Sum = 3308.522379160064184 Averaged sum = 0.3305547386512203200 logp*logq = 28.32478688935478408 -------------- ************************************* p = 151; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2382128426581.612580 -------------- Searches starting with [151,293]-exponents: u = 9, v = 7 n_start has 37 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(151,293) = 0.7687194595055624113 D2(151,293) = 0.01426803773243219276 C1(151,293) = 1.071541635935366139 C2(151,293) = 1.815886596045602763 C3(151,293) = 5.630940964281483554 C4(151,293) = 2344 Sum = 4151.683653148214324 Averaged sum = 0.4147950497700284068 logp*logq = 28.49901550084975443 -------------- ************************************* p = 151; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3010712062956.098112 -------------- Searches starting with [151,307]-exponents: u = 113, v = 7 n_start has 264 digits --- performed 5000 steps in the continued fraction search [151,307]-exponents: u = 17, v = 25 --- starting right neighbors generation We generated 6414 left neighbors We generated 3596 right neighbors We generated 10009 non-negative rho_i D1(151,307) = 0.8258894098269309306 D2(151,307) = 0.01454222316283439469 C1(151,307) = 1.107665964834428371 C2(151,307) = 1.660822025912012395 C3(151,307) = 5.968771073749604472 C4(151,307) = 2456 Sum = 4700.024193240552308 Averaged sum = 0.4695797975062995611 logp*logq = 28.73319773247820949 -------------- ************************************* p = 151; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3212746342724.507419 -------------- Searches starting with [151,311]-exponents: u = 8, v = 118 n_start has 312 digits starting right neighbors generation We generated 3227 left neighbors We generated 6783 right neighbors We generated 10009 non-negative rho_i D1(151,311) = 0.8783290236639019787 D2(151,311) = 0.003355743624403429355 C1(151,311) = 1.163779481830154435 C2(151,311) = 1.195363585683148406 C3(151,311) = 6.534173522781669616 C4(151,311) = 2488 Sum = 4868.508951190928234 Averaged sum = 0.4864131233081155194 logp*logq = 28.79814724577008712 -------------- ************************************* p = 151; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3317754803690.518848 -------------- Searches starting with [151,313]-exponents: u = 8, v = 55 n_start has 155 digits starting right neighbors generation We generated 1175 left neighbors We generated 8835 right neighbors We generated 10009 non-negative rho_i D1(151,313) = 0.7108599778208377228 D2(151,313) = 0.01735047513468734897 C1(151,313) = 0.9449511088365544509 C2(151,313) = 1.356608580915845944 C3(151,313) = 4.591010856532624126 C4(151,313) = 2504 Sum = 4596.080261065033411 Averaged sum = 0.4591947508307556610 logp*logq = 28.83030940613869746 -------------- ************************************* p = 151; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3536015882220.948794 -------------- Searches starting with [151,317]-exponents: u = 8, v = 27 n_start has 85 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(151,317) = 0.7582393922819983368 D2(151,317) = 0.05160730518880855187 C1(151,317) = 1.008701711435242617 C2(151,317) = 1.553875463367556269 C3(151,317) = 5.088193250485207746 C4(151,317) = 2536 Sum = 4474.515232654634921 Averaged sum = 0.4470491790043595685 logp*logq = 28.89402175227218073 -------------- ************************************* p = 151; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4392200786876.317213 -------------- Searches starting with [151,331]-exponents: u = 15, v = 6 n_start has 48 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(151,331) = 0.6787995786566366629 D2(151,331) = 0.1073060784730374465 C1(151,331) = 0.9819988393800915772 C2(151,331) = 1.821558016674958458 C3(151,331) = 4.873703240544988337 C4(151,331) = 2648 Sum = 4168.218937671511123 Averaged sum = 0.4164470913849046980 logp*logq = 29.11085153559270401 -------------- ************************************* p = 151; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4806473326860.521506 -------------- Searches starting with [151,337]-exponents: u = 29, v = 6 n_start has 79 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(151,337) = 1.395569582048251766 D2(151,337) = 0.04146665889999693068 C1(151,337) = 2.064028023591895609 C2(151,337) = 1.759287938234421579 C3(151,337) = 27.91169758476675619 C4(151,337) = 2696 Sum = 3830.426947735645528 Averaged sum = 0.3826982663338640751 logp*logq = 29.20098473504762403 -------------- ************************************* p = 151; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5566008339972.761584 -------------- Searches starting with [151,347]-exponents: u = 232, v = 6 n_start has 521 digits --- performed 5000 steps in the continued fraction search [151,347]-exponents: u = 139, v = 63 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,347) = 0.7083858651587961264 D2(151,347) = 0.2147754597707794632 C1(151,347) = 0.9181530942043074212 C2(151,347) = 1.372526493813614437 C3(151,347) = 4.396804538713222803 C4(151,347) = 2776 Sum = 5218.892120324150169 Averaged sum = 0.5219414061730323201 logp*logq = 29.34769927740927085 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,347) = 0.7083858651587961264 D2(151,347) = 0.2147754597707794632 C1(151,347) = 0.9181530942043074212 C2(151,347) = 1.372526493813614437 C3(151,347) = 4.396804538713222803 C4(151,347) = 2776 Sum = 5218.892120324150169 Averaged sum = 0.5219414061730323201 logp*logq = 29.34769927740927085 -------------- ************************************* p = 151; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5728840661610.175285 -------------- Searches starting with [151,349]-exponents: u = 7, v = 527 n_start has 1356 digits --- performed 5000 steps in the continued fraction search [151,349]-exponents: u = 78, v = 458 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,349) = 0.6809839925465236053 D2(151,349) = 0.4247955637596314245 C1(151,349) = 0.8520234967784011034 C2(151,349) = 1.414199964571038319 C3(151,349) = 3.951986670097711846 C4(151,349) = 2792 Sum = 5791.119103368164480 Averaged sum = 0.5791698273195484028 logp*logq = 29.37653429836743907 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,349) = 0.6809839925465236053 D2(151,349) = 0.4247955637596314245 C1(151,349) = 0.8520234967784011034 C2(151,349) = 1.414199964571038319 C3(151,349) = 3.951986670097711846 C4(151,349) = 2792 Sum = 5791.119103368164480 Averaged sum = 0.5791698273195484028 logp*logq = 29.37653429836743907 -------------- ************************************* p = 151; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6065947651709.368752 -------------- Searches starting with [151,353]-exponents: u = 7, v = 59 n_start has 166 digits starting right neighbors generation We generated 2254 left neighbors We generated 7756 right neighbors We generated 10009 non-negative rho_i D1(151,353) = 0.8305054031859239255 D2(151,353) = 0.03186044691186126922 C1(151,353) = 1.139809169644058035 C2(151,353) = 1.599117217481151412 C3(151,353) = 6.286374055453613626 C4(151,353) = 2824 Sum = 5042.278098029275374 Averaged sum = 0.5037744128313792960 logp*logq = 29.43371189537025741 -------------- ************************************* p = 151; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6601214698434.693909 -------------- Searches starting with [151,359]-exponents: u = 7, v = 23 n_start has 75 digits starting right neighbors generation We generated 359 left neighbors We generated 9651 right neighbors We generated 10009 non-negative rho_i D1(151,359) = 0.7422465147855345466 D2(151,359) = 0.002405785051703815751 C1(151,359) = 0.9688442134441042945 C2(151,359) = 1.572961918404677850 C3(151,359) = 4.771387436700327807 C4(151,359) = 2872 Sum = 4085.164673360853638 Averaged sum = 0.4081491331162807112 logp*logq = 29.51827479324406266 -------------- ************************************* p = 151; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7373052602150.196374 -------------- Searches starting with [151,367]-exponents: u = 7, v = 11 n_start has 44 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(151,367) = 0.7483244600867682842 D2(151,367) = 0.05520135822563659034 C1(151,367) = 0.9951296372867781781 C2(151,367) = 1.833394722366408813 C3(151,367) = 4.978021746568200788 C4(151,367) = 2936 Sum = 4510.347419009656831 Averaged sum = 0.4506291756428870847 logp*logq = 29.62885292934031429 -------------- ************************************* p = 151; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7998027038437.419485 -------------- Searches starting with [151,373]-exponents: u = 7, v = 11 n_start has 44 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(151,373) = 0.6055600036901789994 D2(151,373) = 0.09872505541693490736 C1(151,373) = 0.8339430491919049563 C2(151,373) = 1.879809018172315162 C3(151,373) = 3.838404062162035236 C4(151,373) = 2984 Sum = 4481.470457361241290 Averaged sum = 0.4477440760676632321 logp*logq = 29.71021600699730034 -------------- ************************************* p = 151; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8664719631326.305569 -------------- Searches starting with [151,379]-exponents: u = 13, v = 5 n_start has 42 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(151,379) = 0.6236194694231064646 D2(151,379) = 0.09524497051947607835 C1(151,379) = 0.8595809628876381220 C2(151,379) = 1.904819556728976714 C3(151,379) = 4.000453592176456835 C4(151,379) = 3032 Sum = 4498.166555057722378 Averaged sum = 0.4494121845396865199 logp*logq = 29.79028068211866114 -------------- ************************************* p = 151; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9133371503725.348412 -------------- Searches starting with [151,383]-exponents: u = 13, v = 5 n_start has 42 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(151,383) = 0.6230908241117192482 D2(151,383) = 0.06092705272461163070 C1(151,383) = 0.8244712950097327420 C2(151,383) = 1.872666901757231878 C3(151,383) = 3.780210868832522021 C4(151,383) = 3064 Sum = 4361.739885097420007 Averaged sum = 0.4357817849033290045 logp*logq = 29.84295601988573171 -------------- ************************************* p = 151; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9874199853931.044095 -------------- Searches starting with [151,389]-exponents: u = 19, v = 5 n_start has 55 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(151,389) = 0.6876035302538550400 D2(151,389) = 0.01497459691085678513 C1(151,389) = 0.9552857392412181305 C2(151,389) = 1.829919594688037503 C3(151,389) = 4.668177929518462846 C4(151,389) = 3112 Sum = 4042.421090563771894 Averaged sum = 0.4038786182999072728 logp*logq = 29.92094639598281176 -------------- ************************************* p = 151; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10936017831457.10171 -------------- Searches starting with [151,397]-exponents: u = 31, v = 5 n_start has 81 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(151,397) = 0.9138548361787060659 D2(151,397) = 0.04196388772430707854 C1(151,397) = 1.216666340119912999 C2(151,397) = 1.743686920775713993 C3(151,397) = 7.116004802394977722 C4(151,397) = 3176 Sum = 4560.581353832178053 Averaged sum = 0.4556480521362951396 logp*logq = 30.02308284587713194 -------------- ************************************* p = 151; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11500157097672.89010 -------------- Searches starting with [151,401]-exponents: u = 43, v = 5 n_start has 107 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(151,401) = 0.6417560742597309332 D2(151,401) = 0.05067774120506805434 C1(151,401) = 0.8527708253763160782 C2(151,401) = 1.674281053926967244 C3(151,401) = 3.956753098005042532 C4(151,401) = 3208 Sum = 4238.355852228795765 Averaged sum = 0.4234544761943047023 logp*logq = 30.07338181187165436 -------------- ************************************* p = 151; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12698332439071.70388 -------------- Searches starting with [151,409]-exponents: u = 169, v = 5 n_start has 382 digits --- performed 5000 steps in the continued fraction search [151,409]-exponents: u = 27, v = 90 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,409) = 0.6369753465347390534 D2(151,409) = 0.04174613475162113141 C1(151,409) = 0.8372463265125337714 C2(151,409) = 1.384062155738346730 C3(151,409) = 3.858908947719356423 C4(151,409) = 3272 Sum = 4996.489872628688226 Averaged sum = 0.4996989571585846811 logp*logq = 30.17249179676186554 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,409) = 0.6369753465347390534 D2(151,409) = 0.04174613475162113141 C1(151,409) = 0.8372463265125337714 C2(151,409) = 1.384062155738346730 C3(151,409) = 3.858908947719356423 C4(151,409) = 3272 Sum = 4996.489872628688226 Averaged sum = 0.4996989571585846811 logp*logq = 30.17249179676186554 -------------- ************************************* p = 151; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14334466870516.06820 -------------- Searches starting with [151,419]-exponents: u = 6, v = 54 n_start has 155 digits starting right neighbors generation We generated 1837 left neighbors We generated 8173 right neighbors We generated 10009 non-negative rho_i D1(151,419) = 0.8317458842698689696 D2(151,419) = 0.006030515118973891361 C1(151,419) = 1.146457035313390141 C2(151,419) = 1.597783123362846910 C3(151,419) = 6.354140864136511949 C4(151,419) = 3352 Sum = 5052.912390526118276 Averaged sum = 0.5048368858553420198 logp*logq = 30.29368802381652023 -------------- ************************************* p = 151; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14681067841418.47416 -------------- Searches starting with [151,421]-exponents: u = 6, v = 44 n_start has 129 digits starting right neighbors generation We generated 1177 left neighbors We generated 8833 right neighbors We generated 10009 non-negative rho_i D1(151,421) = 0.6777283326189204278 D2(151,421) = 0.04391642540756482076 C1(151,421) = 0.8918125911131522439 C2(151,421) = 1.636394283543245674 C3(151,421) = 4.213921793999288756 C4(151,421) = 3368 Sum = 4342.352283350332733 Averaged sum = 0.4338447680437938588 logp*logq = 30.31757987771044242 -------------- ************************************* p = 151; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16516183072039.09407 -------------- Searches starting with [151,431]-exponents: u = 6, v = 19 n_start has 64 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(151,431) = 0.5836185204108049011 D2(151,431) = 0.04452129650071731978 C1(151,431) = 0.7978231292933368148 C2(151,431) = 1.798564851409429786 C3(151,431) = 3.621177643661314458 C4(151,431) = 3448 Sum = 4485.970759836330491 Averaged sum = 0.4481937016521461176 logp*logq = 30.43536180841742399 -------------- ************************************* p = 151; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16904314435178.96593 -------------- Searches starting with [151,433]-exponents: u = 6, v = 19 n_start has 64 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(151,433) = 0.6336521189360543715 D2(151,433) = 0.06505728188544772355 C1(151,433) = 0.8467589754051108329 C2(151,433) = 1.819879040978301457 C3(151,433) = 3.918572087277156284 C4(151,433) = 3464 Sum = 4428.291258920981189 Averaged sum = 0.4424309380478550494 logp*logq = 30.45858999729853673 -------------- ************************************* p = 151; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18112731819004.96910 -------------- Searches starting with [151,439]-exponents: u = 6, v = 14 n_start has 51 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(151,439) = 0.7602565132505640119 D2(151,439) = 0.1339749421835523888 C1(151,439) = 1.063547953457877226 C2(151,439) = 1.891109530039075010 C3(151,439) = 5.558807730149418171 C4(151,439) = 3512 Sum = 4581.971965500399257 Averaged sum = 0.4577851898791486919 logp*logq = 30.52763622233429857 -------------- ************************************* p = 151; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18956059170081.00929 -------------- Searches starting with [151,443]-exponents: u = 6, v = 9 n_start has 37 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(151,443) = 0.9251739209238580383 D2(151,443) = 0.1160466606316535642 C1(151,443) = 1.451855699275755117 C2(151,443) = 1.197911763450295037 C3(151,443) = 10.39869711985865768 C4(151,443) = 3544 Sum = 3627.682329116275930 Averaged sum = 0.3624420350800555430 logp*logq = 30.57314474147241410 -------------- ************************************* p = 151; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20279726282381.67008 -------------- Searches starting with [151,449]-exponents: u = 6, v = 9 n_start has 37 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(151,449) = 0.7735706737550771608 D2(151,449) = 0.01648433142183408466 C1(151,449) = 0.9965817839980645120 C2(151,449) = 1.918858228100999040 C3(151,449) = 4.989694684208576361 C4(151,449) = 3592 Sum = 3688.226735956621012 Averaged sum = 0.3684910316671616557 logp*logq = 30.64064279763646556 -------------- ************************************* p = 151; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22158681656633.86838 -------------- Searches starting with [151,457]-exponents: u = 6, v = 9 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(151,457) = 0.6622075762592071496 D2(151,457) = 0.05189446182208410725 C1(151,457) = 1.107854828604700771 C2(151,457) = 1.957526990641612870 C3(151,457) = 5.970589534431681741 C4(151,457) = 3656 Sum = 4518.216134433849561 Averaged sum = 0.4514153396377110161 logp*logq = 30.72925048400875275 -------------- ************************************* p = 151; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23149037809377.85029 -------------- Searches starting with [151,461]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(151,461) = 1.134622567665185846 D2(151,461) = 0.03802260965084918649 C1(151,461) = 1.897799782198178459 C2(151,461) = 1.066449701550885989 C3(151,461) = 21.34757919183465942 C4(151,461) = 3688 Sum = 3195.680185441451837 Averaged sum = 0.3192806659447948683 logp*logq = 30.77297433228720091 -------------- ************************************* p = 151; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23657331725073.68871 -------------- Searches starting with [151,463]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(151,463) = 0.7434083317505503934 D2(151,463) = 0.05362931152885378505 C1(151,463) = 1.243444481263683577 C2(151,463) = 1.331313002636718557 C3(151,463) = 7.430079697296711845 C4(151,463) = 3704 Sum = 4623.300823044578421 Averaged sum = 0.4619143593810149287 logp*logq = 30.79469419234032672 -------------- ************************************* p = 151; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24700728546267.72949 -------------- Searches starting with [151,467]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(151,467) = 0.9154268720250340156 D2(151,467) = 0.03190432685639020117 C1(151,467) = 1.294807427127706650 C2(151,467) = 1.977237232172239550 C3(151,467) = 8.071822232669106951 C4(151,467) = 3736 Sum = 4945.283255213593187 Averaged sum = 0.4940836502361467866 logp*logq = 30.83785385492780009 -------------- ************************************* p = 151; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28053905346591.52560 -------------- Searches starting with [151,479]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(151,479) = 1.254894664230868935 D2(151,479) = 0.1282990592740750730 C1(151,479) = 1.665071002038800698 C2(151,479) = 1.370611103895890070 C3(151,479) = 14.66660158572805523 C4(151,479) = 3832 Sum = 4681.324680671961285 Averaged sum = 0.4677115276922730826 logp*logq = 30.96514896624840778 -------------- ************************************* p = 151; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30484906543471.91390 -------------- Searches starting with [151,487]-exponents: u = 16, v = 4 n_start has 46 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(151,487) = 0.9103001221319138379 D2(151,487) = 0.09289218569573582466 C1(151,487) = 1.316903680450384377 C2(151,487) = 1.913403085359279894 C3(151,487) = 8.364679674784522796 C4(151,487) = 3896 Sum = 4272.732594652785592 Averaged sum = 0.4268890593118978511 logp*logq = 31.04825280962746691 -------------- ************************************* p = 151; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31762078125617.44072 -------------- Searches starting with [151,491]-exponents: u = 16, v = 4 n_start has 46 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(151,491) = 0.8249820995987596627 D2(151,491) = 0.05405143756377519372 C1(151,491) = 1.062973018284359761 C2(151,491) = 1.876258604248093289 C3(151,491) = 5.553655403665315965 C4(151,491) = 3928 Sum = 4023.668545047013681 Averaged sum = 0.4020050499597376042 logp*logq = 31.08929418233368832 -------------- ************************************* p = 151; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34444942591044.31191 -------------- Searches starting with [151,499]-exponents: u = 26, v = 4 n_start has 68 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(151,499) = 0.8545016682821646171 D2(151,499) = 0.09731912815262814651 C1(151,499) = 1.277514124706222040 C2(151,499) = 1.832425887223526192 C3(151,499) = 7.849792524896362550 C4(151,499) = 3992 Sum = 2791.546015596129520 Averaged sum = 0.2789035883301158477 logp*logq = 31.17038329828758372 -------------- ************************************* p = 151; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35852758783589.26577 -------------- Searches starting with [151,503]-exponents: u = 26, v = 4 n_start has 68 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(151,503) = 0.7641641276586738752 D2(151,503) = 0.04508958093730255844 C1(151,503) = 1.123093646079736984 C2(151,503) = 1.781793854920327738 C3(151,503) = 6.119155988641879872 C4(151,503) = 4024 Sum = 4014.218452183826445 Averaged sum = 0.4010608904170073378 logp*logq = 31.21044163353054190 -------------- ************************************* p = 151; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38050516235456.69495 -------------- Searches starting with [151,509]-exponents: u = 36, v = 4 n_start has 90 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(151,509) = 0.7689603555515160968 D2(151,509) = 0.04446053605343687237 C1(151,509) = 1.013637867737539141 C2(151,509) = 1.716633673176546837 C3(151,509) = 5.128864418776595623 C4(151,509) = 4072 Sum = 4270.999537864661874 Averaged sum = 0.4267159094679450369 logp*logq = 31.26993576743610555 -------------- ************************************* p = 151; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42769594134980.97797 -------------- Searches starting with [151,521]-exponents: u = 96, v = 4 n_start has 221 digits starting right neighbors generation We generated 3181 left neighbors We generated 6829 right neighbors We generated 10009 non-negative rho_i D1(151,521) = 0.5633041377487727291 D2(151,521) = 0.009146117453262760229 C1(151,521) = 0.7601696153480908690 C2(151,521) = 1.498356283103452236 C3(151,521) = 3.407805006787466530 C4(151,521) = 4168 Sum = 4650.363400347846434 Averaged sum = 0.4646181836694821095 logp*logq = 31.38684854864328883 -------------- ************************************* p = 151; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43599720972658.07732 -------------- Searches starting with [151,523]-exponents: u = 126, v = 4 n_start has 286 digits starting right neighbors generation We generated 5305 left neighbors We generated 4705 right neighbors We generated 10009 non-negative rho_i D1(151,523) = 0.7514030240304393492 D2(151,523) = 0.009625046562911900291 C1(151,523) = 0.9999943440876885097 C2(151,523) = 1.436743269077549221 C3(151,523) = 5.017234067627654760 C4(151,523) = 4184 Sum = 4824.998803877193360 Averaged sum = 0.4820660209688473733 logp*logq = 31.40607186655338149 -------------- ************************************* p = 151; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51667271593827.53202 -------------- Searches starting with [151,541]-exponents: u = 5, v = 55 n_start has 162 digits starting right neighbors generation We generated 1679 left neighbors We generated 8331 right neighbors We generated 10009 non-negative rho_i D1(151,541) = 0.5843080093378975070 D2(151,541) = 0.01061651002252565685 C1(151,541) = 0.7742049368469062918 C2(151,541) = 1.578063052188418041 C3(151,541) = 3.485828647916157621 C4(151,541) = 4328 Sum = 4557.827388106698325 Averaged sum = 0.4553729031977918199 logp*logq = 31.57584565237877356 -------------- ************************************* p = 151; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54607036206296.82912 -------------- Searches starting with [151,547]-exponents: u = 5, v = 35 n_start has 107 digits starting right neighbors generation We generated 691 left neighbors We generated 9319 right neighbors We generated 10009 non-negative rho_i D1(151,547) = 0.6551215302199908124 D2(151,547) = 0.02568326583160933088 C1(151,547) = 0.9266236866344855473 C2(151,547) = 1.680146701303020293 C3(151,547) = 4.457286407720083807 C4(151,547) = 4376 Sum = 4333.621018429654587 Averaged sum = 0.4329724266589723835 logp*logq = 31.63118385862380297 -------------- ************************************* p = 151; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59803128719110.73918 -------------- Searches starting with [151,557]-exponents: u = 5, v = 23 n_start has 75 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(151,557) = 0.8802088380764470274 D2(151,557) = 0.09368831773886865285 C1(151,557) = 1.161699928403565194 C2(151,557) = 1.809466017098815497 C3(151,557) = 6.512294052230718990 C4(151,557) = 4456 Sum = 4230.898360926499875 Averaged sum = 0.4227093976347786866 logp*logq = 31.72207909523407646 -------------- ************************************* p = 151; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63105950213016.72705 -------------- Searches starting with [151,563]-exponents: u = 5, v = 19 n_start has 64 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(151,563) = 1.279337382107965247 D2(151,563) = 0.05336480142938036394 C1(151,563) = 1.754365200711483077 C2(151,563) = 1.847537416226946736 C3(151,563) = 16.93858985779580852 C4(151,563) = 4504 Sum = 5901.190498715049810 Averaged sum = 0.5895884202932410640 logp*logq = 31.77583617917599039 -------------- ************************************* p = 151; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66553242963154.46170 -------------- Searches starting with [151,569]-exponents: u = 5, v = 15 n_start has 53 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(151,569) = 0.6457759673132363252 D2(151,569) = 0.1150911177081116101 C1(151,569) = 0.8673627364786214043 C2(151,569) = 1.911002143038206058 C3(151,569) = 4.050980219616502838 C4(151,569) = 4552 Sum = 4348.144592811548934 Averaged sum = 0.4344234781508191562 logp*logq = 31.82902338930674891 -------------- ************************************* p = 151; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67735253943222.46489 -------------- Searches starting with [151,571]-exponents: u = 5, v = 15 n_start has 53 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(151,571) = 0.6315740678100845316 D2(151,571) = 0.1382102422480220618 C1(151,571) = 0.8504539268904163546 C2(151,571) = 1.934696600634513826 C3(151,571) = 3.941994709381807029 C4(151,571) = 4568 Sum = 4456.103525329920203 Averaged sum = 0.4452096638355400342 logp*logq = 31.84662789802371845 -------------- ************************************* p = 151; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71382496588441.13033 -------------- Searches starting with [151,577]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(151,577) = 0.7057586386908891744 D2(151,577) = 0.01963984812874894995 C1(151,577) = 1.092355064023418073 C2(151,577) = 1.925676276573839678 C3(151,577) = 5.823178746007648211 C4(151,577) = 4616 Sum = 4348.559229199108488 Averaged sum = 0.4344649045058555788 logp*logq = 31.89907380940078640 -------------- ************************************* p = 151; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77809409748091.96304 -------------- Searches starting with [151,587]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(151,587) = 0.7171874691962519764 D2(151,587) = 0.08069329143284581367 C1(151,587) = 0.9642422719183964756 C2(151,587) = 1.989726394007114158 C3(151,587) = 4.736103323382553563 C4(151,587) = 4696 Sum = 4506.158657753751566 Averaged sum = 0.4502106761668250141 logp*logq = 31.98528348771820412 -------------- ************************************* p = 151; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81882557603767.89970 -------------- Searches starting with [151,593]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(151,593) = 1.256166342425028003 D2(151,593) = 0.06798505711840043252 C1(151,593) = 2.023905541585512218 C2(151,593) = 1.108525444230133227 C3(151,593) = 26.16264951499933695 C4(151,593) = 4744 Sum = 2569.792092245177697 Averaged sum = 0.2567481359022057845 logp*logq = 32.03630711223487678 -------------- ************************************* p = 151; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86124674630618.90742 -------------- Searches starting with [151,599]-exponents: u = 14, v = 7 n_start has 50 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(151,599) = 0.5754768792759887365 D2(151,599) = 0.09619926435258999340 C1(151,599) = 0.7978280047874244003 C2(151,599) = 1.922446828580251129 C3(151,599) = 3.621206119358228359 C4(151,599) = 4792 Sum = 4268.316448529166952 Averaged sum = 0.4264478417953009244 logp*logq = 32.08681706738143388 -------------- ************************************* p = 151; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87577159974467.02056 -------------- Searches starting with [151,601]-exponents: u = 14, v = 7 n_start has 50 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(151,601) = 0.6621257841288299110 D2(151,601) = 0.08890761565099806001 C1(151,601) = 0.9006479724054092014 C2(151,601) = 1.915797497584678467 C3(151,601) = 4.274402114561747161 C4(151,601) = 4808 Sum = 4464.561639819762766 Averaged sum = 0.4460547147387114363 logp*logq = 32.10354134898960770 -------------- ************************************* p = 151; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92052693737510.95006 -------------- Searches starting with [151,607]-exponents: u = 14, v = 7 n_start has 50 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(151,607) = 0.6705325897614205012 D2(151,607) = 0.06801412142393188741 C1(151,607) = 0.8858038701207333878 C2(151,607) = 1.896817979327421291 C3(151,607) = 4.173280274237400031 C4(151,607) = 4856 Sum = 4319.865035682802595 Averaged sum = 0.4315980653095017079 logp*logq = 32.15338228703074373 -------------- ************************************* p = 151; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96709521551209.23800 -------------- Searches starting with [151,613]-exponents: u = 23, v = 7 n_start has 70 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(151,613) = 0.6358849890168571229 D2(151,613) = 0.04494046496099880742 C1(151,613) = 0.8428364484074712525 C2(151,613) = 1.743929347600243872 C3(151,613) = 3.893859120065016539 C4(151,613) = 4904 Sum = 4220.226786961835331 Averaged sum = 0.4216431998163488191 logp*logq = 32.20273297839266697 -------------- ************************************* p = 151; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99917484652716.59447 -------------- Searches starting with [151,617]-exponents: u = 32, v = 7 n_start has 90 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(151,617) = 0.5874314006543316325 D2(151,617) = 0.03173200865940432888 C1(151,617) = 0.7910130686610765810 C2(151,617) = 1.646548852842852367 C3(151,617) = 3.581620760368566190 C4(151,617) = 4936 Sum = 4378.541768746949542 Averaged sum = 0.4374604624584823201 logp*logq = 32.23536580781728633 -------------- ************************************* p = 151; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101553104391262.3146 -------------- Searches starting with [151,619]-exponents: u = 32, v = 7 n_start has 90 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(151,619) = 0.8813471956980792833 D2(151,619) = 0.02640763885615333721 C1(151,619) = 1.264140679674907910 C2(151,619) = 1.641736526314994953 C3(151,619) = 7.682286571675198212 C4(151,619) = 4952 Sum = 4614.056919740605827 Averaged sum = 0.4609908002538321337 logp*logq = 32.25160297356412499 -------------- ************************************* p = 151; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111822924620976.4915 -------------- Searches starting with [151,631]-exponents: u = 257, v = 7 n_start has 580 digits --- performed 5000 steps in the continued fraction search [151,631]-exponents: u = 155, v = 66 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,631) = 0.5430405114820126640 D2(151,631) = 0.2440105190634551258 C1(151,631) = 0.7008800272039968499 C2(151,631) = 1.462006779374956877 C3(151,631) = 3.097021770198723893 C4(151,631) = 5048 Sum = 5156.631463719796271 Averaged sum = 0.5157147178437640034 logp*logq = 32.34793770590668290 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,631) = 0.5430405114820126640 D2(151,631) = 0.2440105190634551258 C1(151,631) = 0.7008800272039968499 C2(151,631) = 1.462006779374956877 C3(151,631) = 3.097021770198723893 C4(151,631) = 5048 Sum = 5156.631463719796271 Averaged sum = 0.5157147178437640034 logp*logq = 32.34793770590668290 -------------- ************************************* p = 151; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121001901823213.4312 -------------- Searches starting with [151,641]-exponents: u = 9, v = 52 n_start has 166 digits starting right neighbors generation We generated 1121 left neighbors We generated 8889 right neighbors We generated 10009 non-negative rho_i D1(151,641) = 0.8758422053265756182 D2(151,641) = 0.004467053397742933320 C1(151,641) = 1.202030682717928658 C2(151,641) = 1.449540764032010330 C3(151,641) = 6.949993814851548111 C4(151,641) = 5128 Sum = 5093.113964235893767 Averaged sum = 0.5088534283380851001 logp*logq = 32.42682737894898839 -------------- ************************************* p = 151; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122908039685838.6661 -------------- Searches starting with [151,643]-exponents: u = 9, v = 45 n_start has 146 digits starting right neighbors generation We generated 937 left neighbors We generated 9073 right neighbors We generated 10009 non-negative rho_i D1(151,643) = 0.7572118487474619698 D2(151,643) = 0.007860143620760153805 C1(151,643) = 0.9798815044879160158 C2(151,643) = 1.486057420375229520 C3(151,643) = 4.857087814810882428 C4(151,643) = 5144 Sum = 3532.736608040159811 Averaged sum = 0.3529560004036526937 logp*logq = 32.44245754684460688 -------------- ************************************* p = 151; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126792443243352.9716 -------------- Searches starting with [151,647]-exponents: u = 9, v = 31 n_start has 107 digits starting right neighbors generation We generated 596 left neighbors We generated 9414 right neighbors We generated 10009 non-negative rho_i D1(151,647) = 0.8025569067924655754 D2(151,647) = 0.01537982332306176558 C1(151,647) = 1.068911702762143307 C2(151,647) = 1.583161689544107139 C3(151,647) = 5.607106296103976380 C4(151,647) = 5176 Sum = 4348.922627821262091 Averaged sum = 0.4345012116916037657 logp*logq = 32.47357256028315855 -------------- ************************************* p = 151; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132802774022903.4298 -------------- Searches starting with [151,653]-exponents: u = 9, v = 17 n_start has 68 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(151,653) = 0.7524713238767418914 D2(151,653) = 0.02870770453127125274 C1(151,653) = 1.105894862582759015 C2(151,653) = 1.752208543704017523 C3(151,653) = 5.951745075113414551 C4(151,653) = 5224 Sum = 3745.393554844907340 Averaged sum = 0.3742025731686389590 logp*logq = 32.51988624147939773 -------------- ************************************* p = 151; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139039101603436.4745 -------------- Searches starting with [151,659]-exponents: u = 9, v = 17 n_start has 68 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(151,659) = 0.6920184809671440801 D2(151,659) = 0.04079184004912575204 C1(151,659) = 1.053149763478378537 C2(151,659) = 1.765935035489506126 C3(151,659) = 5.466357737973928655 C4(151,659) = 5272 Sum = 4136.858545281995769 Averaged sum = 0.4133138720433605524 logp*logq = 32.56577631599952828 -------------- ************************************* p = 151; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141169188571670.2146 -------------- Searches starting with [151,661]-exponents: u = 9, v = 10 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(151,661) = 0.9112654273874131592 D2(151,661) = 0.04857086411157617428 C1(151,661) = 1.386758411855324663 C2(151,661) = 1.916007763918280986 C3(151,661) = 9.362252308095684548 C4(151,661) = 5288 Sum = 3375.723965481859776 Averaged sum = 0.3372688545790648192 logp*logq = 32.58098020592735682 -------------- ************************************* p = 151; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 154505149977767.8008 -------------- Searches starting with [151,673]-exponents: u = 9, v = 10 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(151,673) = 1.082157573416693995 D2(151,673) = 0.07594680479809053779 C1(151,673) = 1.506739247923113605 C2(151,673) = 1.946633916261513484 C3(151,673) = 11.36117151247816850 C4(151,673) = 5384 Sum = 5545.020739545651285 Averaged sum = 0.5540034708308173928 logp*logq = 32.67124854490024555 -------------- ************************************* p = 151; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 159167888019164.7750 -------------- Searches starting with [151,677]-exponents: u = 9, v = 10 n_start has 48 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(151,677) = 0.7215663935041801195 D2(151,677) = 0.07896578311748470174 C1(151,677) = 1.175430843587885871 C2(151,677) = 1.395398374371456347 C3(151,677) = 6.658126977413317573 C4(151,677) = 5416 Sum = 4470.786166973627105 Averaged sum = 0.4466766077503873618 logp*logq = 32.70098066057061921 -------------- ************************************* p = 151; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166372616089092.0559 -------------- Searches starting with [151,683]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(151,683) = 0.7668604410576309481 D2(151,683) = 0.06801769139731491569 C1(151,683) = 1.010568692449537846 C2(151,683) = 1.342445611317308147 C3(151,683) = 5.103538068187435070 C4(151,683) = 5464 Sum = 4252.341945696960886 Averaged sum = 0.4248518279245639810 logp*logq = 32.74525106400077604 -------------- ************************************* p = 151; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 176382686936526.2884 -------------- Searches starting with [151,691]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(151,691) = 0.7729477804839113946 D2(151,691) = 0.03973721446411980185 C1(151,691) = 1.104405320862787307 C2(151,691) = 2.046468554562114766 C3(151,691) = 5.937463385223359251 C4(151,691) = 5528 Sum = 4220.203193381555416 Averaged sum = 0.4216408425798336913 logp*logq = 32.80367710806621293 -------------- ************************************* p = 151; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189567390929531.7221 -------------- Searches starting with [151,701]-exponents: u = 13, v = 3 n_start has 37 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(151,701) = 0.6506224380042948177 D2(151,701) = 0.1367981945996023840 C1(151,701) = 0.8538024104406749420 C2(151,701) = 1.886528132625672507 C3(151,701) = 3.963341946672456309 C4(151,701) = 5608 Sum = 4231.515403218489403 Averaged sum = 0.4227710463801068441 logp*logq = 32.87576570218941279 -------------- ************************************* p = 151; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200673431748996.0230 -------------- Searches starting with [151,709]-exponents: u = 17, v = 3 n_start has 46 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(151,709) = 0.7413060062011151678 D2(151,709) = 0.1137220986368320101 C1(151,709) = 1.163315702776942478 C2(151,709) = 1.374967137017776583 C3(151,709) = 6.529287634170788191 C4(151,709) = 5672 Sum = 4137.304622505888401 Averaged sum = 0.4133584396548994306 logp*logq = 32.93269998503585187 -------------- ************************************* p = 151; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 215282268441132.3632 -------------- Searches starting with [151,719]-exponents: u = 17, v = 3 n_start has 46 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(151,719) = 0.7280852430281758262 D2(151,719) = 0.06631616804634112013 C1(151,719) = 1.016086330363902797 C2(151,719) = 1.974372707703706268 C3(151,719) = 5.149158841629788003 C4(151,719) = 5752 Sum = 4392.742530471395885 Averaged sum = 0.4388792617115991493 logp*logq = 33.00297115945784972 -------------- ************************************* p = 151; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 227572039647419.2122 -------------- Searches starting with [151,727]-exponents: u = 21, v = 3 n_start has 55 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(151,727) = 0.9436808672593118194 D2(151,727) = 0.01275553940376006344 C1(151,727) = 1.268119185645920709 C2(151,727) = 1.923151097635668904 C3(151,727) = 7.731741418519379846 C4(151,727) = 5816 Sum = 4433.424041738628005 Averaged sum = 0.4429437547945477075 logp*logq = 33.05848796198491022 -------------- ************************************* p = 151; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 237152879576733.3184 -------------- Searches starting with [151,733]-exponents: u = 21, v = 3 n_start has 55 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(151,733) = 0.6729270424839302530 D2(151,733) = 0.1084365711094238082 C1(151,733) = 0.9275452475314187829 C2(151,733) = 1.941975135971753072 C3(151,733) = 4.463916530508988580 C4(151,733) = 5864 Sum = 4128.010282302569039 Averaged sum = 0.4124298413730211848 logp*logq = 33.09972611060613822 -------------- ************************************* p = 151; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247054005629193.8372 -------------- Searches starting with [151,739]-exponents: u = 25, v = 3 n_start has 64 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(151,739) = 0.6124228873490007260 D2(151,739) = 0.05322621214639692287 C1(151,739) = 0.8251029781094981066 C2(151,739) = 1.888431819188960443 C3(151,739) = 3.784064238990391381 C4(151,739) = 5912 Sum = 4381.863712111713053 Averaged sum = 0.4377923580888913031 logp*logq = 33.14062807492895274 -------------- ************************************* p = 151; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 253836626303794.5173 -------------- Searches starting with [151,743]-exponents: u = 25, v = 3 n_start has 64 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(151,743) = 0.5732943187896033878 D2(151,743) = 0.02073315681760380428 C1(151,743) = 0.7692610100902199018 C2(151,743) = 1.857042571546373759 C3(151,743) = 3.458143179799453377 C4(151,743) = 5944 Sum = 4370.720974058086138 Averaged sum = 0.4366790862282032309 logp*logq = 33.16771197247458441 -------------- ************************************* p = 151; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267849150839988.6494 -------------- Searches starting with [151,751]-exponents: u = 29, v = 3 n_start has 72 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(151,751) = 0.7516541951742209903 D2(151,751) = 0.04935921356547488920 C1(151,751) = 0.9817923791804747321 C2(151,751) = 1.826754140502185326 C3(151,751) = 4.872080581381599904 C4(151,751) = 6008 Sum = 4213.543841219787868 Averaged sum = 0.4209755061664290006 logp*logq = 33.22144506796857564 -------------- ************************************* p = 151; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278759517716244.9676 -------------- Searches starting with [151,757]-exponents: u = 33, v = 3 n_start has 81 digits starting right neighbors generation We generated 256 left neighbors We generated 9754 right neighbors We generated 10009 non-negative rho_i D1(151,757) = 0.7763134413702646362 D2(151,757) = 0.07312055712356880424 C1(151,757) = 1.123078087227267032 C2(151,757) = 1.802677922688923256 C3(151,757) = 6.119002432275242227 C4(151,757) = 6056 Sum = 4289.647742675711129 Averaged sum = 0.4285790531197633258 logp*logq = 33.26137058239349883 -------------- ************************************* p = 151; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 286228675244390.3429 -------------- Searches starting with [151,761]-exponents: u = 37, v = 3 n_start has 90 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(151,761) = 0.6269919726360779292 D2(151,761) = 0.02761444113203991378 C1(151,761) = 0.8993211176258419087 C2(151,761) = 1.758194880820383156 C3(151,761) = 4.265264384342780869 C4(151,761) = 6088 Sum = 4229.757378668843024 Averaged sum = 0.4225954020050797307 logp*logq = 33.28781217105913256 -------------- ************************************* p = 151; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 301647711778137.0046 -------------- Searches starting with [151,769]-exponents: u = 49, v = 3 n_start has 116 digits starting right neighbors generation We generated 722 left neighbors We generated 9288 right neighbors We generated 10009 non-negative rho_i D1(151,769) = 0.6942647215400157411 D2(151,769) = 0.0008777099190840283090 C1(151,769) = 0.9819889991367637645 C2(151,769) = 1.692283891418317406 C3(151,769) = 4.873625889593110493 C4(151,769) = 6152 Sum = 3179.142006139504997 Averaged sum = 0.3176283351123493853 logp*logq = 33.34028093510160470 -------------- ************************************* p = 151; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 309602700351115.7641 -------------- Searches starting with [151,773]-exponents: u = 53, v = 3 n_start has 125 digits starting right neighbors generation We generated 789 left neighbors We generated 9221 right neighbors We generated 10009 non-negative rho_i D1(151,773) = 0.6653046901625012476 D2(151,773) = 0.002439972858227884058 C1(151,773) = 0.9307188858947524716 C2(151,773) = 1.659732441950772729 C3(151,773) = 4.486824662825267016 C4(151,773) = 6184 Sum = 4466.435762740660045 Averaged sum = 0.4462419585114057393 logp*logq = 33.36631097967041068 -------------- ************************************* p = 151; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 338778337603014.3039 -------------- Searches starting with [151,787]-exponents: u = 101, v = 3 n_start has 229 digits starting right neighbors generation We generated 2703 left neighbors We generated 7307 right neighbors We generated 10009 non-negative rho_i D1(151,787) = 0.5908870468109663445 D2(151,787) = 0.003012881512722393615 C1(151,787) = 0.7956683459852900535 C2(151,787) = 1.507997503935237469 C3(151,787) = 3.608614360087986017 C4(151,787) = 6296 Sum = 4624.886101091390055 Averaged sum = 0.4620727446389639380 logp*logq = 33.45636713806433755 -------------- ************************************* p = 151; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 360934447747114.3195 -------------- Searches starting with [151,797]-exponents: u = 249, v = 3 n_start has 552 digits --- performed 5000 steps in the continued fraction search [151,797]-exponents: u = 210, v = 11 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,797) = 0.5690373998360784774 D2(151,797) = 0.09636798728787744049 C1(151,797) = 0.7353811034242929170 C2(151,797) = 1.368897699311934809 C3(151,797) = 3.274244971759731215 C4(151,797) = 6376 Sum = 5098.046658514360626 Averaged sum = 0.5098556514165777203 logp*logq = 33.51971747258479381 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,797) = 0.5690373998360784774 D2(151,797) = 0.09636798728787744049 C1(151,797) = 0.7353811034242929170 C2(151,797) = 1.368897699311934809 C3(151,797) = 3.274244971759731215 C4(151,797) = 6376 Sum = 5098.046658514360626 Averaged sum = 0.5098556514165777203 logp*logq = 33.51971747258479381 -------------- ************************************* p = 151; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 389037516337935.4003 -------------- Searches starting with [151,809]-exponents: u = 4, v = 272 n_start has 800 digits --- performed 5000 steps in the continued fraction search [151,809]-exponents: u = 176, v = 129 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,809) = 0.5559760482963444583 D2(151,809) = 0.2189824237215629918 C1(151,809) = 0.7081082242283119442 C2(151,809) = 1.401640782442610305 C3(151,809) = 3.133338977981662499 C4(151,809) = 6472 Sum = 5324.984096534226093 Averaged sum = 0.5325516648199045998 logp*logq = 33.59469689792477623 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,809) = 0.5559760482963444583 D2(151,809) = 0.2189824237215629918 C1(151,809) = 0.7081082242283119442 C2(151,809) = 1.401640782442610305 C3(151,809) = 3.133338977981662499 C4(151,809) = 6472 Sum = 5324.984096534226093 Averaged sum = 0.5325516648199045998 logp*logq = 33.59469689792477623 -------------- ************************************* p = 151; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 393887026561511.6404 -------------- Searches starting with [151,811]-exponents: u = 4, v = 194 n_start has 574 digits --- performed 5000 steps in the continued fraction search [151,811]-exponents: u = 93, v = 107 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,811) = 0.6223156257161701935 D2(151,811) = 0.1150711214957501920 C1(151,811) = 0.8029451035626101740 C2(151,811) = 1.377453716902456018 C3(151,811) = 3.651216717462164589 C4(151,811) = 6488 Sum = 5115.478444719858038 Averaged sum = 0.5115990043724230461 logp*logq = 33.60708524949479967 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(151,811) = 0.6223156257161701935 D2(151,811) = 0.1150711214957501920 C1(151,811) = 0.8029451035626101740 C2(151,811) = 1.377453716902456018 C3(151,811) = 3.651216717462164589 C4(151,811) = 6488 Sum = 5115.478444719858038 Averaged sum = 0.5115990043724230461 logp*logq = 33.60708524949479967 -------------- ************************************* p = 151; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 418866048548503.2898 -------------- Searches starting with [151,821]-exponents: u = 4, v = 80 n_start has 242 digits starting right neighbors generation We generated 2883 left neighbors We generated 7127 right neighbors We generated 10009 non-negative rho_i D1(151,821) = 0.7867039052095101499 D2(151,821) = 0.02156057623667279964 C1(151,821) = 1.058245804067351763 C2(151,821) = 1.512104790380375324 C3(151,821) = 5.511472757340239851 C4(151,821) = 6568 Sum = 4295.117367199360645 Averaged sum = 0.4291255237485623584 logp*logq = 33.66857229153625766 -------------- ************************************* p = 151; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 424010693380192.0838 -------------- Searches starting with [151,823]-exponents: u = 4, v = 71 n_start has 216 digits starting right neighbors generation We generated 2323 left neighbors We generated 7687 right neighbors We generated 10009 non-negative rho_i D1(151,823) = 0.6194284419011202179 D2(151,823) = 0.01546942008679227777 C1(151,823) = 0.8388192295347282721 C2(151,823) = 1.536573463766624385 C3(151,823) = 3.868711105045851534 C4(151,823) = 6584 Sum = 4105.292326472096133 Averaged sum = 0.4101600885674988643 logp*logq = 33.68077979107878324 -------------- ************************************* p = 151; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 434451765951272.3631 -------------- Searches starting with [151,827]-exponents: u = 4, v = 59 n_start has 181 digits starting right neighbors generation We generated 1720 left neighbors We generated 8290 right neighbors We generated 10009 non-negative rho_i D1(151,827) = 0.7049714868338099234 D2(151,827) = 0.001495338321496326108 C1(151,827) = 0.9651987832717479269 C2(151,827) = 1.579625887166933670 C3(151,827) = 4.743415565001341792 C4(151,827) = 6616 Sum = 3871.574393978883989 Averaged sum = 0.3868093110179722238 logp*logq = 33.70510604400299846 -------------- ************************************* p = 151; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 439748937464740.3099 -------------- Searches starting with [151,829]-exponents: u = 4, v = 53 n_start has 164 digits starting right neighbors generation We generated 1240 left neighbors We generated 8770 right neighbors We generated 10009 non-negative rho_i D1(151,829) = 0.6005192521998469558 D2(151,829) = 0.03337169298900168983 C1(151,829) = 0.7948715207292937969 C2(151,829) = 1.611839565580780101 C3(151,829) = 3.603979584529284289 C4(151,829) = 6632 Sum = 4507.856106514451795 Averaged sum = 0.4503802684098762908 logp*logq = 33.71722508331757823 -------------- ************************************* p = 151; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 467016187037590.7798 -------------- Searches starting with [151,839]-exponents: u = 4, v = 38 n_start has 120 digits starting right neighbors generation We generated 643 left neighbors We generated 9367 right neighbors We generated 10009 non-negative rho_i D1(151,839) = 0.6911060436965856293 D2(151,839) = 0.05075433035661182931 C1(151,839) = 0.9301306279085893703 C2(151,839) = 1.708348048348415811 C3(151,839) = 4.482569608510227942 C4(151,839) = 6712 Sum = 4402.811762439670706 Averaged sum = 0.4398852794924238890 logp*logq = 33.77738503474747064 -------------- ************************************* p = 151; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 507447920128507.2089 -------------- Searches starting with [151,853]-exponents: u = 4, v = 26 n_start has 85 digits starting right neighbors generation We generated 352 left neighbors We generated 9658 right neighbors We generated 10009 non-negative rho_i D1(151,853) = 0.6153019125942389235 D2(151,853) = 0.01004436010076241375 C1(151,853) = 0.8128419110678623941 C2(151,853) = 1.788206864242455087 C3(151,853) = 3.709966699061023640 C4(151,853) = 6824 Sum = 4217.670608591204698 Averaged sum = 0.4213878118284748425 logp*logq = 33.86041520114221436 -------------- ************************************* p = 151; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 519499985295116.5892 -------------- Searches starting with [151,857]-exponents: u = 4, v = 26 n_start has 85 digits starting right neighbors generation We generated 352 left neighbors We generated 9658 right neighbors We generated 10009 non-negative rho_i D1(151,857) = 0.8059227128532181113 D2(151,857) = 0.04439401110010966536 C1(151,857) = 1.171539543963159582 C2(151,857) = 1.823276607182970322 C3(151,857) = 6.616469901481144272 C4(151,857) = 6856 Sum = 2724.976915940568600 Averaged sum = 0.2722526641962802078 logp*logq = 33.88388789816199080 -------------- ************************************* p = 151; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 525611359050169.2783 -------------- Searches starting with [151,859]-exponents: u = 4, v = 23 n_start has 77 digits starting right neighbors generation We generated 238 left neighbors We generated 9772 right neighbors We generated 10009 non-negative rho_i D1(151,859) = 0.6195316600929231783 D2(151,859) = 0.06278389846805515732 C1(151,859) = 0.8229329452895509793 C2(151,859) = 1.842025265410294763 C3(151,859) = 3.770843090151198489 C4(151,859) = 6872 Sum = 4257.015377629615523 Averaged sum = 0.4253187508871631055 logp*logq = 33.89558319445250204 -------------- ************************************* p = 151; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 538006801433582.5803 -------------- Searches starting with [151,863]-exponents: u = 4, v = 23 n_start has 77 digits starting right neighbors generation We generated 309 left neighbors We generated 9701 right neighbors We generated 10009 non-negative rho_i D1(151,863) = 0.6049607392162575224 D2(151,863) = 0.004442549943981516054 C1(151,863) = 0.8891255064292303808 C2(151,863) = 1.840739086856941177 C3(151,863) = 4.195698316894145728 C4(151,863) = 6904 Sum = 4186.691885276173160 Averaged sum = 0.4182927250750497712 logp*logq = 33.91889231808027843 -------------- ************************************* p = 151; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 583247007955129.0656 -------------- Searches starting with [151,877]-exponents: u = 4, v = 17 n_start has 59 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(151,877) = 0.8154119098725881258 D2(151,877) = 0.1132231641933090694 C1(151,877) = 1.098586031173389053 C2(151,877) = 1.952065188824407487 C3(151,877) = 5.881995885295491431 C4(151,877) = 7016 Sum = 4396.613273090427307 Averaged sum = 0.4392659879199148074 logp*logq = 33.99963189686430019 -------------- ************************************* p = 151; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 596716772537747.6736 -------------- Searches starting with [151,881]-exponents: u = 4, v = 17 n_start has 59 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(151,881) = 0.6294747211148808652 D2(151,881) = 0.01118004384332697589 C1(151,881) = 0.8264896467946291111 C2(151,881) = 1.922119980903905858 C3(151,881) = 3.792536925688984353 C4(151,881) = 7048 Sum = 3983.815429940498095 Averaged sum = 0.3980233220042459881 logp*logq = 34.02246369888967290 -------------- ************************************* p = 151; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 603544418680955.9268 -------------- Searches starting with [151,883]-exponents: u = 4, v = 17 n_start has 59 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(151,883) = 0.7964389156847800561 D2(151,883) = 0.02237285548103032412 C1(151,883) = 1.046846993859542516 C2(151,883) = 1.933684116729801142 C3(151,883) = 5.411070092205690492 C4(151,883) = 7064 Sum = 4040.318870288252718 Averaged sum = 0.4036685853020534238 logp*logq = 34.03384075554880034 -------------- ************************************* p = 151; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 617387366378390.4138 -------------- Searches starting with [151,887]-exponents: u = 4, v = 17 n_start has 59 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(151,887) = 1.158654967717897278 D2(151,887) = 0.04564213799638875071 C1(151,887) = 1.754669982760769640 C2(151,887) = 1.957693494950770784 C3(151,887) = 16.94691856464670274 C4(151,887) = 7096 Sum = 2504.481463532667910 Averaged sum = 0.2502229457021348696 logp*logq = 34.05651776516720990 -------------- ************************************* p = 151; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 690467762703858.9120 -------------- Searches starting with [151,907]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(151,907) = 0.9402800995572892890 D2(151,907) = 0.1146944009701846956 C1(151,907) = 1.455341347655413434 C2(151,907) = 1.276258704056488926 C3(151,907) = 10.45732282216320769 C4(151,907) = 7256 Sum = 3506.811280836273339 Averaged sum = 0.3503657988646491496 logp*logq = 34.16839040080006152 -------------- ************************************* p = 151; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 705881629334683.2462 -------------- Searches starting with [151,911]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(151,911) = 1.022288859475970610 D2(151,911) = 0.008868289786259138347 C1(151,911) = 1.387815063854481514 C2(151,911) = 2.020529204594978708 C3(151,911) = 9.378221635975615130 C4(151,911) = 7288 Sum = 5165.926988451432636 Averaged sum = 0.5161281834800112534 logp*logq = 34.19046867553274533 -------------- ************************************* p = 151; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 737535901172968.4431 -------------- Searches starting with [151,919]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(151,919) = 1.016857154092570167 D2(151,919) = 0.04239712470136639565 C1(151,919) = 1.481951754638382014 C2(151,919) = 2.055557333436992251 C3(151,919) = 10.91591794147154994 C4(151,919) = 7352 Sum = 4251.668261450859530 Averaged sum = 0.4247845200770166380 logp*logq = 34.23433588251427932 -------------- ************************************* p = 151; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 778691433833062.2444 -------------- Searches starting with [151,929]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(151,929) = 0.7222849008584132397 D2(151,929) = 0.08807021134636075756 C1(151,929) = 0.9889008743018389275 C2(151,929) = 2.103085998448862586 C3(151,929) = 4.928261435631898681 C4(151,929) = 7432 Sum = 3926.149062488939823 Averaged sum = 0.3922618705653851357 logp*logq = 34.28863597785134403 -------------- ************************************* p = 151; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 812922472934648.0348 -------------- Searches starting with [151,937]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(151,937) = 1.057327820451869710 D2(151,937) = 0.07196718009440175820 C1(151,937) = 1.687061815099922616 C2(151,937) = 1.200598060873678822 C3(151,937) = 15.19614268126416620 C4(151,937) = 7496 Sum = 3249.550204084119399 Averaged sum = 0.3246628238669317014 logp*logq = 34.33165686168540167 -------------- ************************************* p = 151; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 830483982365829.1502 -------------- Searches starting with [151,941]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(151,941) = 0.6661079615716964232 D2(151,941) = 0.1029678494073749086 C1(151,941) = 0.8921188277834358291 C2(151,941) = 1.482658022380767323 C3(151,941) = 4.216003671223072838 C4(151,941) = 7528 Sum = 4117.560646943214736 Averaged sum = 0.4113858174586087257 logp*logq = 34.35302975805999919 -------------- ************************************* p = 151; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 857394586232378.2729 -------------- Searches starting with [151,947]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(151,947) = 0.7150289380223809245 D2(151,947) = 0.09562245915956173003 C1(151,947) = 1.001528510328539289 C2(151,947) = 1.967331436728622330 C3(151,947) = 5.029664275810029857 C4(151,947) = 7576 Sum = 4329.466463565032262 Averaged sum = 0.4325573447462316177 logp*logq = 34.38491935590451553 -------------- ************************************* p = 151; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 884998923383021.6458 -------------- Searches starting with [151,953]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(151,953) = 0.7372567129938664679 D2(151,953) = 0.08552867784795684265 C1(151,953) = 0.9674913158521853282 C2(151,953) = 1.958414293191002278 C3(151,953) = 4.760987275966996173 C4(151,953) = 7624 Sum = 4115.068155655828479 Averaged sum = 0.4111367924523757098 logp*logq = 34.41660754441937805 -------------- ************************************* p = 151; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 952182187182520.9997 -------------- Searches starting with [151,967]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(151,967) = 0.6329596351615418056 D2(151,967) = 0.05858014927075747020 C1(151,967) = 0.9156987619530401254 C2(151,967) = 1.794968331344807030 C3(151,967) = 4.379433915669649542 C4(151,967) = 7736 Sum = 4041.482967517542347 Averaged sum = 0.4037848903504388397 logp*logq = 34.48977750550130289 -------------- ************************************* p = 151; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 972108656232184.1871 -------------- Searches starting with [151,971]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(151,971) = 0.7220112884166022135 D2(151,971) = 0.05028279914067578837 C1(151,971) = 0.9841365217524648924 C2(151,971) = 1.699138280087966369 C3(151,971) = 4.890536001332478440 C4(151,971) = 7768 Sum = 4314.204060867440976 Averaged sum = 0.4310324768575722826 logp*logq = 34.51048870038847343 -------------- ************************************* p = 151; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1002623105541953.441 -------------- Searches starting with [151,977]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(151,977) = 0.7564666188891213407 D2(151,977) = 0.03963118937624586272 C1(151,977) = 1.055690326711310301 C2(151,977) = 1.578088022795514626 C3(151,977) = 5.488802879299337827 C4(151,977) = 7816 Sum = 3613.606751437349924 Averaged sum = 0.3610357429750574407 logp*logq = 34.54139606611573772 -------------- ************************************* p = 151; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1033899738801956.972 -------------- Searches starting with [151,983]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(151,983) = 0.6727441450362133294 D2(151,983) = 0.01232527428320254662 C1(151,983) = 1.125472885279033623 C2(151,983) = 2.174999694541199432 C3(151,983) = 6.142683033349780540 C4(151,983) = 7864 Sum = 3966.735537238521041 Averaged sum = 0.3963168685421641564 logp*logq = 34.57211420188740511 -------------- ************************************* p = 151; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1076812122916196.047 -------------- Searches starting with [151,991]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 60 left neighbors We generated 9950 right neighbors We generated 10009 non-negative rho_i D1(151,991) = 1.975646760339226600 D2(151,991) = 0.01623046188196250358 C1(151,991) = 3.304522774243573624 C2(151,991) = 1.080424002890675718 C3(151,991) = 206.4018237250381255 C4(151,991) = 7928 Sum = 3063.124372835001836 Averaged sum = 0.3060370039799182572 logp*logq = 34.61278133303590882 -------------- ************************************* p = 151; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1109922753488862.428 -------------- Searches starting with [151,997]-exponents: u = 11, v = 5 n_start has 39 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(151,997) = 0.7514733419955308415 D2(151,997) = 0.02261133955124562397 C1(151,997) = 1.256934231179240105 C2(151,997) = 2.086028412163112825 C3(151,997) = 7.593510794991942303 C4(151,997) = 7976 Sum = 4119.436089192909750 Averaged sum = 0.4115731930455499800 logp*logq = 34.64306681636185533 -------------- ************************************* p = 157; q = 163; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 153237230908.1021194 -------------- Searches starting with [157,163]-exponents: u = 1, v = 134 n_start has 299 digits starting right neighbors generation We generated 2412 left neighbors We generated 7598 right neighbors We generated 10009 non-negative rho_i D1(157,163) = 0.7623176483889310506 D2(157,163) = 0.007897728845091689732 C1(157,163) = 1.013796840976458315 C2(157,163) = 1.130429872954633602 C3(157,163) = 5.170574310704383246 C4(157,163) = 1304 Sum = 5252.554550130320202 Averaged sum = 0.5247831501778719354 logp*logq = 25.75525308632129391 -------------- ************************************* p = 157; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173221116576.5147524 -------------- Searches starting with [157,167]-exponents: u = 1, v = 81 n_start has 183 digits starting right neighbors generation We generated 929 left neighbors We generated 9081 right neighbors We generated 10009 non-negative rho_i D1(157,167) = 0.8188495761500922625 D2(157,167) = 0.007203981747550696095 C1(157,167) = 1.119165341346544619 C2(157,167) = 1.228051351407803319 C3(157,167) = 6.133383264233768713 C4(157,167) = 1336 Sum = 5349.219794847023198 Averaged sum = 0.5344409826003619940 logp*logq = 25.87783474583081341 -------------- ************************************* p = 157; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 207067157179.8657302 -------------- Searches starting with [157,173]-exponents: u = 1, v = 52 n_start has 119 digits starting right neighbors generation We generated 449 left neighbors We generated 9561 right neighbors We generated 10009 non-negative rho_i D1(157,173) = 0.8252456813410370514 D2(157,173) = 0.001457785209090904901 C1(157,173) = 1.162103930386820343 C2(157,173) = 1.329466818836179009 C3(157,173) = 6.575389635336377418 C4(157,173) = 1384 Sum = 3612.514265286509575 Averaged sum = 0.3609265925953151739 logp*logq = 26.05630900841608887 -------------- ************************************* p = 157; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 246024687000.8490828 -------------- Searches starting with [157,179]-exponents: u = 1, v = 38 n_start has 88 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(157,179) = 0.7031270802582085821 D2(157,179) = 0.03894592825677405935 C1(157,179) = 0.9639184791655187992 C2(157,179) = 1.443817915085437655 C3(157,179) = 4.769062209471931559 C4(157,179) = 1432 Sum = 4800.680907541101734 Averaged sum = 0.4796364179779300363 logp*logq = 26.22869772150567022 -------------- ************************************* p = 157; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 260242261324.1754557 -------------- Searches starting with [157,181]-exponents: u = 1, v = 35 n_start has 82 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(157,181) = 0.7381773601624781656 D2(157,181) = 0.01882313262870962962 C1(157,181) = 1.017009434733446736 C2(157,181) = 1.450823860356960274 C3(157,181) = 5.197564627482729262 C4(157,181) = 1448 Sum = 4805.601523926176042 Averaged sum = 0.4801280371591743472 logp*logq = 26.28487880845346368 -------------- ************************************* p = 157; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 341558733879.5033642 -------------- Searches starting with [157,191]-exponents: u = 1, v = 25 n_start has 60 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(157,191) = 0.7760427729911299325 D2(157,191) = 0.06589732211176243439 C1(157,191) = 1.032824089972616591 C2(157,191) = 1.595200111411647800 C3(157,191) = 5.332497961849395556 C4(157,191) = 1528 Sum = 4639.861127836973092 Averaged sum = 0.4635689007730016077 logp*logq = 26.55678548910315079 -------------- ************************************* p = 157; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 360030717986.9977247 -------------- Searches starting with [157,193]-exponents: u = 1, v = 24 n_start has 58 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(157,193) = 1.029689557208040482 D2(157,193) = 0.08341894315967652246 C1(157,193) = 1.454108146725632907 C2(157,193) = 1.628582827505624075 C3(157,193) = 10.55461238240786511 C4(157,193) = 1544 Sum = 5055.569202931318039 Averaged sum = 0.5051023281977538254 logp*logq = 26.60945519249802251 -------------- ************************************* p = 157; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 399379005812.7570513 -------------- Searches starting with [157,197]-exponents: u = 1, v = 22 n_start has 53 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(157,197) = 0.5927485840999624279 D2(157,197) = 0.08366128026325588922 C1(157,197) = 0.8046875256364503186 C2(157,197) = 1.663538249272849896 C3(157,197) = 3.684357428745694878 C4(157,197) = 1576 Sum = 4613.335319408703936 Averaged sum = 0.4609187051062747464 logp*logq = 26.71317669223199476 -------------- ************************************* p = 157; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 420306614517.2847810 -------------- Searches starting with [157,199]-exponents: u = 1, v = 21 n_start has 51 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(157,199) = 0.9946987366679808860 D2(157,199) = 0.06620208723903352018 C1(157,199) = 1.378087740839970196 C2(157,199) = 1.665190469351029593 C3(157,199) = 9.331188971569194117 C4(157,199) = 1592 Sum = 4834.283313968835468 Averaged sum = 0.4829936371234724216 logp*logq = 26.76425031644317568 -------------- ************************************* p = 157; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 565123562124.0045477 -------------- Searches starting with [157,211]-exponents: u = 1, v = 17 n_start has 42 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(157,211) = 0.7678720013159561251 D2(157,211) = 0.03365988371661532047 C1(157,211) = 1.198466410413612055 C2(157,211) = 1.728178140360399553 C3(157,211) = 6.974521715940617493 C4(157,211) = 1688 Sum = 4342.854094909794520 Averaged sum = 0.4338949040773098731 logp*logq = 27.06031023820758660 -------------- ************************************* p = 157; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 747492110950.3658661 -------------- Searches starting with [157,223]-exponents: u = 1, v = 14 n_start has 36 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(157,223) = 0.7079053638756107588 D2(157,223) = 0.1052368245674788216 C1(157,223) = 0.9720190569929585481 C2(157,223) = 1.865684629786265761 C3(157,223) = 4.832083189382074562 C4(157,223) = 1784 Sum = 4509.299546025330639 Averaged sum = 0.4505244825682216644 logp*logq = 27.33998958824300570 -------------- ************************************* p = 157; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 817797649022.7046079 -------------- Searches starting with [157,227]-exponents: u = 1, v = 13 n_start has 33 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(157,227) = 1.002910717449089903 D2(157,227) = 0.03034433026372410257 C1(157,227) = 1.353598202241029561 C2(157,227) = 1.827409394015866892 C3(157,227) = 8.968102375906841228 C4(157,227) = 1816 Sum = 4901.142562624295331 Averaged sum = 0.4896735500673689011 logp*logq = 27.42988077011457274 -------------- ************************************* p = 157; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 854886106210.8462037 -------------- Searches starting with [157,229]-exponents: u = 1, v = 13 n_start has 33 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(157,229) = 0.7856554787845827884 D2(157,229) = 0.08776802454247201182 C1(157,229) = 1.083376250781467898 C2(157,229) = 1.886237872844763595 C3(157,229) = 5.787762923753404487 C4(157,229) = 1832 Sum = 4805.697020627389379 Averaged sum = 0.4801375782423208491 logp*logq = 27.47423408789992847 -------------- ************************************* p = 157; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 933111292862.1107581 -------------- Searches starting with [157,233]-exponents: u = 1, v = 12 n_start has 31 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(157,233) = 0.7218794390280834388 D2(157,233) = 0.1500903125792377703 C1(157,233) = 0.9981849175918984289 C2(157,233) = 1.707957545448279689 C3(157,233) = 5.041394375476196353 C4(157,233) = 1864 Sum = 4195.166805300461475 Averaged sum = 0.4191394550205276725 logp*logq = 27.56179031563390139 -------------- ************************************* p = 157; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1061119779906.083001 -------------- Searches starting with [157,239]-exponents: u = 1, v = 12 n_start has 31 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(157,239) = 1.024629350922679859 D2(157,239) = 0.08527481289897508549 C1(157,239) = 1.672078193552776876 C2(157,239) = 1.077271806895236217 C3(157,239) = 15.02642782014243514 C4(157,239) = 1912 Sum = 3528.057971443631030 Averaged sum = 0.3524885574426647048 logp*logq = 27.69034586259659684 -------------- ************************************* p = 157; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1106786058049.410760 -------------- Searches starting with [157,241]-exponents: u = 1, v = 11 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(157,241) = 0.9890070337914968601 D2(157,241) = 0.1316839869864831306 C1(157,241) = 1.374401086050086495 C2(157,241) = 1.724333305401252771 C3(157,241) = 9.275604298311358053 C4(157,241) = 1928 Sum = 5421.050475883581192 Averaged sum = 0.5416175917557779190 logp*logq = 27.73248148814938729 -------------- ************************************* p = 157; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1359377847772.762641 -------------- Searches starting with [157,251]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(157,251) = 0.7918020412496216318 D2(157,251) = 0.1101399201137208248 C1(157,251) = 1.066966695692763092 C2(157,251) = 1.743049170519884114 C3(157,251) = 5.635873364228376468 C4(157,251) = 2008 Sum = 4596.566356796452246 Averaged sum = 0.4592433166946200665 logp*logq = 27.93804824613456240 -------------- ************************************* p = 157; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1531842963591.692895 -------------- Searches starting with [157,257]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(157,257) = 0.7290864320285293567 D2(157,257) = 0.03845636269054771714 C1(157,257) = 1.039489840094639456 C2(157,257) = 1.989056841836816310 C3(157,257) = 5.390415480822682144 C4(157,257) = 2056 Sum = 4425.517876769603033 Averaged sum = 0.4421538492126689013 logp*logq = 28.05749267781006688 -------------- ************************************* p = 157; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1721436877588.637826 -------------- Searches starting with [157,263]-exponents: u = 1, v = 9 n_start has 24 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(157,263) = 1.133972880467997535 D2(157,263) = 0.08622982554864348815 C1(157,263) = 1.594678379633495126 C2(157,263) = 1.765925545171164647 C3(157,263) = 13.25499534336821483 C4(157,263) = 2104 Sum = 4369.053218160590646 Averaged sum = 0.4365124606015176987 logp*logq = 28.17418045195348317 -------------- ************************************* p = 157; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1929411104815.943039 -------------- Searches starting with [157,269]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(157,269) = 0.6481666240797858512 D2(157,269) = 0.06778252837395244368 C1(157,269) = 0.9140157182501221732 C2(157,269) = 1.607910463483111870 C3(157,269) = 4.398554913339090750 C4(157,269) = 2152 Sum = 4261.663117215706400 Averaged sum = 0.4257831069253378359 logp*logq = 28.28823594524624460 -------------- ************************************* p = 157; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2003045301408.984567 -------------- Searches starting with [157,271]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(157,271) = 0.6698670490393200127 D2(157,271) = 0.002047594469025051383 C1(157,271) = 0.9622114061109833740 C2(157,271) = 2.022135896609531813 C3(157,271) = 4.755886717845326146 C4(157,271) = 2168 Sum = 4154.672759054224779 Averaged sum = 0.4150936915829977798 logp*logq = 28.32568978913579721 -------------- ************************************* p = 157; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2237577503352.103798 -------------- Searches starting with [157,277]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(157,277) = 0.7385233307766017263 D2(157,277) = 0.06051422412716897391 C1(157,277) = 1.258316861579917064 C2(157,277) = 1.795069761356179860 C3(157,277) = 7.684911400440044109 C4(157,277) = 2216 Sum = 4613.189751657116003 Averaged sum = 0.4609041614204332103 logp*logq = 28.43641492486518245 -------------- ************************************* p = 157; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2405808519863.277209 -------------- Searches starting with [157,281]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(157,281) = 0.6750889903461802559 D2(157,281) = 0.05311694340646914116 C1(157,281) = 1.000020568892310217 C2(157,281) = 1.790438433345329629 C3(157,281) = 5.056414355310974539 C4(157,281) = 2248 Sum = 4200.607345749682417 Averaged sum = 0.4196830198570968545 logp*logq = 28.50890714588479853 -------------- ************************************* p = 157; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2493646456514.191479 -------------- Searches starting with [157,283]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(157,283) = 0.6841238692806824711 D2(157,283) = 0.04950866283824056526 C1(157,283) = 0.9177853248658308077 C2(157,283) = 1.788198056838269568 C3(157,283) = 4.425508442731204318 C4(157,283) = 2264 Sum = 4544.433761881929004 Averaged sum = 0.4540347449177669102 logp*logq = 28.54476719552523927 -------------- ************************************* p = 157; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2972275473218.512262 -------------- Searches starting with [157,293]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(157,293) = 0.7083529966686052914 D2(157,293) = 0.002388707193800182141 C1(157,293) = 1.231157732840737483 C2(157,293) = 2.109323864344848398 C3(157,293) = 7.353997954871452670 C4(157,293) = 2344 Sum = 4596.064387593993648 Averaged sum = 0.4591931649109794833 logp*logq = 28.72034892799690163 -------------- ************************************* p = 157; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3763422511029.646369 -------------- Searches starting with [157,307]-exponents: u = 9, v = 7 n_start has 38 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(157,307) = 0.6950549589186211330 D2(157,307) = 0.01057030693920485995 C1(157,307) = 0.9342355332487012412 C2(157,307) = 1.819689994017191648 C3(157,307) = 4.545077508956081930 C4(157,307) = 2456 Sum = 4565.763659602907740 Averaged sum = 0.4561658167252380598 logp*logq = 28.95634990160617169 -------------- ************************************* p = 157; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4017993785978.602495 -------------- Searches starting with [157,311]-exponents: u = 17, v = 7 n_start has 55 digits starting right neighbors generation We generated 221 left neighbors We generated 9789 right neighbors We generated 10009 non-negative rho_i D1(157,311) = 0.8582521801111010916 D2(157,311) = 0.004065564011866467232 C1(157,311) = 1.230383603385093214 C2(157,311) = 1.651775293888548203 C3(157,311) = 7.344777612706115725 C4(157,311) = 2488 Sum = 4450.877849908904044 Averaged sum = 0.4446875661813272099 logp*logq = 29.02180383577420212 -------------- ************************************* p = 157; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4150358279472.394179 -------------- Searches starting with [157,313]-exponents: u = 25, v = 7 n_start has 73 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(157,313) = 0.9439021475400790223 D2(157,313) = 0.001266350902897811013 C1(157,313) = 1.419133505982815281 C2(157,313) = 1.552177994622959736 C3(157,313) = 9.973007618442961731 C4(157,313) = 2504 Sum = 3174.371729963996210 Averaged sum = 0.3171517364336093726 logp*logq = 29.05421577884771426 -------------- ************************************* p = 157; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4425582116908.259754 -------------- Searches starting with [157,317]-exponents: u = 41, v = 7 n_start has 108 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(157,317) = 0.7938045501831977375 D2(157,317) = 0.05794208166166798936 C1(157,317) = 1.140225435067972562 C2(157,317) = 1.708513501556584827 C3(157,317) = 6.346332048672265837 C4(157,317) = 2536 Sum = 3512.252863490859472 Averaged sum = 0.3509094678280407105 logp*logq = 29.11842293757993058 -------------- ************************************* p = 157; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5506424941868.221403 -------------- Searches starting with [157,331]-exponents: u = 8, v = 27 n_start has 86 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(157,331) = 0.8222960846932972765 D2(157,331) = 0.04563465127287460644 C1(157,331) = 1.135969513758839538 C2(157,331) = 1.553977250057715900 C3(157,331) = 6.302710421471826408 C4(157,331) = 2648 Sum = 4778.305943987804282 Averaged sum = 0.4774009335585777083 logp*logq = 29.33693669763461417 -------------- ************************************* p = 157; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6030010713545.344509 -------------- Searches starting with [157,337]-exponents: u = 8, v = 13 n_start has 51 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(157,337) = 0.7242658996078965479 D2(157,337) = 0.1078699674507114112 C1(157,337) = 0.9555417473893500510 C2(157,337) = 1.804432815705337765 C3(157,337) = 4.704757114916522446 C4(157,337) = 2696 Sum = 4309.590101186935487 Averaged sum = 0.4305714957724983003 logp*logq = 29.42776990337341792 -------------- ************************************* p = 157; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6990854303959.579782 -------------- Searches starting with [157,347]-exponents: u = 15, v = 6 n_start has 49 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(157,347) = 1.022841328544423780 D2(157,347) = 0.09656317380233802720 C1(157,347) = 1.429372356460309728 C2(157,347) = 1.818145578197265499 C3(157,347) = 10.13987362360264656 C4(157,347) = 2776 Sum = 5229.188905152738344 Averaged sum = 0.5224486866972463127 logp*logq = 29.57562388272622187 -------------- ************************************* p = 157; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7196981706648.792177 -------------- Searches starting with [157,349]-exponents: u = 22, v = 6 n_start has 64 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(157,349) = 0.9997811922350283895 D2(157,349) = 0.07486112137491828802 C1(157,349) = 1.523963467794433368 C2(157,349) = 1.797583973699208428 C3(157,349) = 11.81975383826063894 C4(157,349) = 2792 Sum = 3021.869207365995252 Averaged sum = 0.3019151970592462036 logp*logq = 29.60468284664867743 -------------- ************************************* p = 157; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7623864467819.481952 -------------- Searches starting with [157,353]-exponents: u = 29, v = 6 n_start has 79 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(157,353) = 0.6961439296123041064 D2(157,353) = 0.03522263156723676940 C1(157,353) = 1.031186588842420836 C2(157,353) = 1.760206573876053200 C3(157,353) = 5.318365477494816963 C4(157,353) = 2824 Sum = 4043.224540431005469 Averaged sum = 0.4039588910411634998 logp*logq = 29.66230450507882104 -------------- ************************************* p = 157; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8302054650139.272127 -------------- Searches starting with [157,359]-exponents: u = 57, v = 6 n_start has 141 digits starting right neighbors generation We generated 1630 left neighbors We generated 8380 right neighbors We generated 10009 non-negative rho_i D1(157,359) = 0.7035299370761997378 D2(157,359) = 0.02247145461243656926 C1(157,359) = 0.9776833749883097734 C2(157,359) = 1.644317056299463830 C3(157,359) = 4.876644632448560325 C4(157,359) = 2872 Sum = 4711.109934563401035 Averaged sum = 0.4706873748190030008 logp*logq = 29.74752414830564894 -------------- ************************************* p = 157; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9280727678554.929159 -------------- Searches starting with [157,367]-exponents: u = 7, v = 131 n_start has 352 digits --- performed 5000 steps in the continued fraction search [157,367]-exponents: u = 63, v = 45 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,367) = 0.8631843660337286092 D2(157,367) = 0.02784089228346329332 C1(157,367) = 1.141271226335663257 C2(157,367) = 1.457382478682315949 C3(157,367) = 6.357097152481827367 C4(157,367) = 2936 Sum = 4935.581297443626131 Averaged sum = 0.4936074904934119543 logp*logq = 29.85896107328985346 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,367) = 0.8631843660337286092 D2(157,367) = 0.02784089228346329332 C1(157,367) = 1.141271226335663257 C2(157,367) = 1.457382478682315949 C3(157,367) = 6.357097152481827367 C4(157,367) = 2936 Sum = 4935.581297443626131 Averaged sum = 0.4936074904934119543 logp*logq = 29.85896107328985346 -------------- ************************************* p = 157; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10073769127852.91454 -------------- Searches starting with [157,373]-exponents: u = 7, v = 35 n_start has 106 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(157,373) = 0.6289888428087775399 D2(157,373) = 0.04340272196046887340 C1(157,373) = 0.8384090190111230418 C2(157,373) = 1.700280086936665496 C3(157,373) = 3.891310561900702369 C4(157,373) = 2984 Sum = 4421.375028052601831 Averaged sum = 0.4417399368620843072 logp*logq = 29.94095604536510540 -------------- ************************************* p = 157; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10920277860821.17514 -------------- Searches starting with [157,379]-exponents: u = 7, v = 17 n_start has 60 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(157,379) = 0.7450147006230358924 D2(157,379) = 0.01836171672071958456 C1(157,379) = 0.9938573342638567774 C2(157,379) = 1.678478188550061906 C3(157,379) = 5.006160825485501652 C4(157,379) = 3032 Sum = 4382.006678210664654 Averaged sum = 0.4378066418434073987 logp*logq = 30.02164253105172960 -------------- ************************************* p = 157; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11515636968787.15365 -------------- Searches starting with [157,383]-exponents: u = 7, v = 17 n_start has 60 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(157,383) = 1.036501318042252209 D2(157,383) = 0.04179388824988111178 C1(157,383) = 1.597240791542478380 C2(157,383) = 1.703795703924824178 C3(157,383) = 13.31015390385691765 C4(157,383) = 3064 Sum = 2980.055710538618408 Averaged sum = 0.2977376072073752031 logp*logq = 30.07472696410961019 -------------- ************************************* p = 157; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12457239316218.18362 -------------- Searches starting with [157,389]-exponents: u = 7, v = 11 n_start has 44 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(157,389) = 0.8920587062132511734 D2(157,389) = 0.08528165103186883216 C1(157,389) = 1.269661193208566077 C2(157,389) = 1.872813232305657222 C3(157,389) = 7.827504485158886830 C4(157,389) = 3112 Sum = 4778.667298434120648 Averaged sum = 0.4774370365105525675 logp*logq = 30.15332304103258533 -------------- ************************************* p = 157; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13807771733920.49485 -------------- Searches starting with [157,397]-exponents: u = 13, v = 5 n_start has 42 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(157,397) = 0.7729682284169243809 D2(157,397) = 0.09188431602186195718 C1(157,397) = 1.030734083996476639 C2(157,397) = 1.908753983581427254 C3(157,397) = 5.314466735292374087 C4(157,397) = 3176 Sum = 4520.374877813281057 Averaged sum = 0.4516310198634509998 logp*logq = 30.25625271869616227 -------------- ************************************* p = 157; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14525724896519.51905 -------------- Searches starting with [157,401]-exponents: u = 13, v = 5 n_start has 42 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(157,401) = 0.6440223437143388942 D2(157,401) = 0.05936814895710872323 C1(157,401) = 0.9451757701011560730 C2(157,401) = 1.878302520357044984 C3(157,401) = 4.626380415032310092 C4(157,401) = 3208 Sum = 4224.029132312813176 Averaged sum = 0.4220230924480780474 logp*logq = 30.30694232423839796 -------------- ************************************* p = 157; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16051477740106.39987 -------------- Searches starting with [157,409]-exponents: u = 19, v = 5 n_start has 55 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(157,409) = 0.6301208881875423677 D2(157,409) = 0.002066645988730772162 C1(157,409) = 0.8999776619287059521 C2(157,409) = 1.825068326657883379 C3(157,409) = 4.299615686117200940 C4(157,409) = 3272 Sum = 4159.539692171870278 Averaged sum = 0.4155799472646488439 logp*logq = 30.40682203230096217 -------------- ************************************* p = 157; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18136716077045.61831 -------------- Searches starting with [157,419]-exponents: u = 37, v = 5 n_start has 95 digits starting right neighbors generation We generated 678 left neighbors We generated 9332 right neighbors We generated 10009 non-negative rho_i D1(157,419) = 0.6272721039851126793 D2(157,419) = 0.003283737918131585410 C1(157,419) = 0.8385230196423152562 C2(157,419) = 1.713503488383369531 C3(157,419) = 3.892029556464690252 C4(157,419) = 3352 Sum = 4491.107802360006655 Averaged sum = 0.4487069439864128939 logp*logq = 30.52895951209083892 -------------- ************************************* p = 157; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18578700732136.92143 -------------- Searches starting with [157,421]-exponents: u = 43, v = 5 n_start has 108 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(157,421) = 0.8729484805834610220 D2(157,421) = 0.03338931882010001755 C1(157,421) = 1.236463049573651837 C2(157,421) = 1.664224304039429717 C3(157,421) = 7.417499678584735034 C4(157,421) = 3368 Sum = 4991.566837919998610 Averaged sum = 0.4987078467299429123 logp*logq = 30.55303691856650145 -------------- ************************************* p = 157; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20920142889343.94063 -------------- Searches starting with [157,431]-exponents: u = 871, v = 5 n_start has 1926 digits --- performed 5000 steps in the continued fraction search [157,431]-exponents: u = 461, v = 341 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,431) = 0.6470846239770559651 D2(157,431) = 0.4762534289208817757 C1(157,431) = 0.8019940049144573967 C2(157,431) = 1.447379567371752407 C3(157,431) = 3.668309578144013996 C4(157,431) = 3448 Sum = 5918.276001643431146 Averaged sum = 0.5918867888432274374 logp*logq = 30.67173358537651109 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,431) = 0.6470846239770559651 D2(157,431) = 0.4762534289208817757 C1(157,431) = 0.8019940049144573967 C2(157,431) = 1.447379567371752407 C3(157,431) = 3.668309578144013996 C4(157,431) = 3448 Sum = 5918.276001643431146 Averaged sum = 0.5918867888432274374 logp*logq = 30.67173358537651109 -------------- ************************************* p = 157; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21415630586517.23372 -------------- Searches starting with [157,433]-exponents: u = 6, v = 309 n_start has 828 digits --- performed 5000 steps in the continued fraction search [157,433]-exponents: u = 166, v = 162 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,433) = 0.6209571530560442244 D2(157,433) = 0.2928508837997452846 C1(157,433) = 0.7910559869176549906 C2(157,433) = 1.384850734346388418 C3(157,433) = 3.603856539663914460 C4(157,433) = 3464 Sum = 5456.925010635594572 Averaged sum = 0.5457470757711365708 logp*logq = 30.69514217258230718 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,433) = 0.6209571530560442244 D2(157,433) = 0.2928508837997452846 C1(157,433) = 0.7910559869176549906 C2(157,433) = 1.384850734346388418 C3(157,433) = 3.603856539663914460 C4(157,433) = 3464 Sum = 5456.925010635594572 Averaged sum = 0.5457470757711365708 logp*logq = 30.69514217258230718 -------------- ************************************* p = 157; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22958850826244.91322 -------------- Searches starting with [157,439]-exponents: u = 6, v = 59 n_start has 170 digits starting right neighbors generation We generated 2212 left neighbors We generated 7798 right neighbors We generated 10009 non-negative rho_i D1(157,439) = 0.8202850178659806330 D2(157,439) = 0.001956013754621089215 C1(157,439) = 1.132150038657271420 C2(157,439) = 1.600438701114522903 C3(157,439) = 6.263817555903105833 C4(157,439) = 3512 Sum = 4032.582140977593122 Averaged sum = 0.4028956080505138497 logp*logq = 30.76472463500557746 -------------- ************************************* p = 157; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24036306869276.24770 -------------- Searches starting with [157,443]-exponents: u = 6, v = 34 n_start has 104 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(157,443) = 0.9450314913349704932 D2(157,443) = 0.01961326183880464093 C1(157,443) = 1.342819091009343540 C2(157,443) = 1.685868006487092558 C3(157,443) = 8.812800017513955137 C4(157,443) = 3544 Sum = 5163.906587476354913 Averaged sum = 0.5159263250550859139 logp*logq = 30.81058658938797118 -------------- ************************************* p = 157; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25728201975569.60630 -------------- Searches starting with [157,449]-exponents: u = 6, v = 24 n_start has 77 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(157,449) = 0.7492035156870365704 D2(157,449) = 0.01650708059977363868 C1(157,449) = 1.017080129139043649 C2(157,449) = 1.776720347415020228 C3(157,449) = 5.198160141739500827 C4(157,449) = 3592 Sum = 4380.969427507484986 Averaged sum = 0.4377030100417109587 logp*logq = 30.87860885931288447 -------------- ************************************* p = 157; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28131321180806.29838 -------------- Searches starting with [157,457]-exponents: u = 6, v = 14 n_start has 51 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(157,457) = 0.6859109642117733846 D2(157,457) = 0.09489201562949068960 C1(157,457) = 0.9354658110292067519 C2(157,457) = 1.858071934903646109 C3(157,457) = 4.554148606507216965 C4(157,457) = 3656 Sum = 4570.770434637525440 Averaged sum = 0.4566660440241308262 logp*logq = 30.96790470429527429 -------------- ************************************* p = 157; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29398598745902.30094 -------------- Searches starting with [157,461]-exponents: u = 6, v = 14 n_start has 51 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(157,461) = 0.6211444966510820440 D2(157,461) = 0.1408753019915800387 C1(157,461) = 0.8550297648608009643 C2(157,461) = 1.905518769301805346 C3(157,461) = 3.997551267002814080 C4(157,461) = 3688 Sum = 4453.887064946558643 Averaged sum = 0.4449882170992665244 logp*logq = 31.01196812743332566 -------------- ************************************* p = 157; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30049185496370.59133 -------------- Searches starting with [157,463]-exponents: u = 6, v = 14 n_start has 51 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(157,463) = 0.7997105766580924415 D2(157,463) = 0.1230571267828048765 C1(157,463) = 1.257205041575919413 C2(157,463) = 1.290973810309838736 C3(157,463) = 7.671076868153597207 C4(157,463) = 3704 Sum = 4170.196471794706279 Averaged sum = 0.4166446669791893575 logp*logq = 31.03385667159634893 -------------- ************************************* p = 157; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31385010660855.43624 -------------- Searches starting with [157,467]-exponents: u = 6, v = 9 n_start has 38 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(157,467) = 0.6435581325450920605 D2(157,467) = 0.1494261724450424280 C1(157,467) = 0.8962723749145977041 C2(157,467) = 1.839163328758818442 C3(157,467) = 4.273874382216629177 C4(157,467) = 3736 Sum = 3912.253231198198618 Averaged sum = 0.3908735369365769425 logp*logq = 31.07735152737794211 -------------- ************************************* p = 157; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35680850403123.49909 -------------- Searches starting with [157,479]-exponents: u = 6, v = 9 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(157,479) = 0.8154167819571542899 D2(157,479) = 0.04828916322040889266 C1(157,479) = 1.114473558635030261 C2(157,479) = 1.961431003252495094 C3(157,479) = 6.086924219557418076 C4(157,479) = 3832 Sum = 4106.317768061449964 Averaged sum = 0.4102625405196772869 logp*logq = 31.20563525752458706 -------------- ************************************* p = 157; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38797794366733.92096 -------------- Searches starting with [157,487]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(157,487) = 1.074282161119085422 D2(157,487) = 0.04423248273735947650 C1(157,487) = 1.469362411945333377 C2(157,487) = 1.996027850240485604 C3(157,487) = 10.81878948368615389 C4(157,487) = 3896 Sum = 5587.517715726214710 Averaged sum = 0.5582493471601773114 logp*logq = 31.28938451472377055 -------------- ************************************* p = 157; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40436122764522.88908 -------------- Searches starting with [157,491]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(157,491) = 0.7785988124689357163 D2(157,491) = 0.02343201272195732498 C1(157,491) = 1.039935627445513143 C2(157,491) = 1.976994780513831665 C3(157,491) = 5.394311214050384719 C4(157,491) = 3928 Sum = 4354.029269595175106 Averaged sum = 0.4350114166845014593 logp*logq = 31.33074462923620000 -------------- ************************************* p = 157; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43879287420447.40326 -------------- Searches starting with [157,499]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(157,499) = 0.7017191890266958697 D2(157,499) = 0.1281732296212732628 C1(157,499) = 1.004075648412897217 C2(157,499) = 1.845229439271174682 C3(157,499) = 5.089753326291701459 C4(157,499) = 3992 Sum = 3662.554635321739997 Averaged sum = 0.3659261300151603554 logp*logq = 31.41246351192494534 -------------- ************************************* p = 157; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45686910677045.86087 -------------- Searches starting with [157,503]-exponents: u = 11, v = 4 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(157,503) = 0.7780280460399370934 D2(157,503) = 0.1176649832049217574 C1(157,503) = 1.232863823873288399 C2(157,503) = 1.316614882785810600 C3(157,503) = 7.374359399139325058 C4(157,503) = 4024 Sum = 4254.172064480990184 Averaged sum = 0.4250346752403826740 logp*logq = 31.45283295435772447 -------------- ************************************* p = 157; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48509906014357.08840 -------------- Searches starting with [157,509]-exponents: u = 16, v = 4 n_start has 46 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(157,509) = 0.7592283602657566634 D2(157,509) = 0.1103496510742054382 C1(157,509) = 1.069136028417271678 C2(157,509) = 1.937526515935186176 C3(157,509) = 5.655722123989017746 C4(157,509) = 4072 Sum = 4478.872802241548938 Averaged sum = 0.4474845441344339033 logp*logq = 31.51278914073496305 -------------- ************************************* p = 157; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54575703452183.73739 -------------- Searches starting with [157,521]-exponents: u = 21, v = 4 n_start has 57 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(157,521) = 0.6909968140535739294 D2(157,521) = 0.004462726417990953578 C1(157,521) = 0.9520080245529045562 C2(157,521) = 1.836464329211218581 C3(157,521) = 4.677890740894140347 C4(157,521) = 4168 Sum = 4506.225190899713595 Averaged sum = 0.4502173234988224193 logp*logq = 31.63060990792296447 -------------- ************************************* p = 157; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55643284967420.73571 -------------- Searches starting with [157,523]-exponents: u = 21, v = 4 n_start has 57 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(157,523) = 0.9199326206239625202 D2(157,523) = 0.1041526033138566731 C1(157,523) = 1.377532337063454937 C2(157,523) = 1.846280349232075073 C3(157,523) = 9.322793739371941162 C4(157,523) = 4184 Sum = 4160.565864374966995 Averaged sum = 0.4156824722125054446 logp*logq = 31.64998252091428733 -------------- ************************************* p = 157; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66026337406302.28548 -------------- Searches starting with [157,541]-exponents: u = 56, v = 4 n_start has 134 digits starting right neighbors generation We generated 1059 left neighbors We generated 8951 right neighbors We generated 10009 non-negative rho_i D1(157,541) = 1.148967647072925163 D2(157,541) = 0.04055019172510611719 C1(157,541) = 1.539974964811510107 C2(157,541) = 1.627117605013535490 C3(157,541) = 12.13047409381078217 C4(157,541) = 4328 Sum = 4874.690662604293608 Averaged sum = 0.4870307385956932369 logp*logq = 31.82107482996569608 -------------- ************************************* p = 157; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69813101752926.88270 -------------- Searches starting with [157,547]-exponents: u = 96, v = 4 n_start has 222 digits starting right neighbors generation We generated 3181 left neighbors We generated 6829 right neighbors We generated 10009 non-negative rho_i D1(157,547) = 0.6219629669307137068 D2(157,547) = 0.005700888722613804071 C1(157,547) = 0.8403704891509988814 C2(157,547) = 1.501543918208010510 C3(157,547) = 3.903699965044187303 C4(157,547) = 4376 Sum = 4665.536070530813433 Averaged sum = 0.4661340863753435341 logp*logq = 31.87684281227930663 -------------- ************************************* p = 157; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76510107592342.72532 -------------- Searches starting with [157,557]-exponents: u = 5, v = 559 n_start has 1546 digits --- performed 5000 steps in the continued fraction search [157,557]-exponents: u = 645, v = 40 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,557) = 0.7701434773447538564 D2(157,557) = 0.3988597209414450264 C1(157,557) = 0.9607052891552574036 C2(157,557) = 1.429453839456584037 C3(157,557) = 4.744292468865217209 C4(157,557) = 4456 Sum = 5756.852027098154044 Averaged sum = 0.5757427769875141558 logp*logq = 31.96844397342334876 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,557) = 0.7701434773447538564 D2(157,557) = 0.3988597209414450264 C1(157,557) = 0.9607052891552574036 C2(157,557) = 1.429453839456584037 C3(157,557) = 4.744292468865217209 C4(157,557) = 4456 Sum = 5756.852027098154044 Averaged sum = 0.5757427769875141558 logp*logq = 31.96844397342334876 -------------- ************************************* p = 157; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80769339990354.79450 -------------- Searches starting with [157,563]-exponents: u = 5, v = 95 n_start has 273 digits starting right neighbors generation We generated 4674 left neighbors We generated 5336 right neighbors We generated 10009 non-negative rho_i D1(157,563) = 0.6042301549626352232 D2(157,563) = 0.01359846990375968846 C1(157,563) = 0.8073780503327239551 C2(157,563) = 1.459144457837994070 C3(157,563) = 3.700457516938930686 C4(157,563) = 4504 Sum = 4717.948441499045561 Averaged sum = 0.4713706106003642283 logp*logq = 32.02261855387920177 -------------- ************************************* p = 157; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85216725116459.00032 -------------- Searches starting with [157,569]-exponents: u = 5, v = 51 n_start has 152 digits starting right neighbors generation We generated 1389 left neighbors We generated 8621 right neighbors We generated 10009 non-negative rho_i D1(157,569) = 0.5826688502054927200 D2(157,569) = 0.02537063116035934889 C1(157,569) = 0.8056881059300037982 C2(157,569) = 1.599916841261405219 C3(157,569) = 3.690336699308214357 C4(157,569) = 4552 Sum = 4545.434456258985946 Averaged sum = 0.4541347243739620287 logp*logq = 32.07621883468246423 -------------- ************************************* p = 157; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86742065468844.59459 -------------- Searches starting with [157,571]-exponents: u = 5, v = 43 n_start has 130 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(157,571) = 0.8300402708836058129 D2(157,571) = 0.02045121506851658323 C1(157,571) = 1.159941204578357078 C2(157,571) = 1.634247252536434270 C3(157,571) = 6.552383460108896087 C4(157,571) = 4568 Sum = 4985.651835182997637 Averaged sum = 0.4981168783278047394 logp*logq = 32.09396006623631396 -------------- ************************************* p = 157; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91449981740393.87551 -------------- Searches starting with [157,577]-exponents: u = 5, v = 31 n_start has 97 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(157,577) = 1.047029222195460694 D2(157,577) = 0.06070928677845617451 C1(157,577) = 1.397313298214565580 C2(157,577) = 1.722971772117155805 C3(157,577) = 9.626501297698206313 C4(157,577) = 4616 Sum = 4635.669821745228266 Averaged sum = 0.4631501470421848602 logp*logq = 32.14681329109775810 -------------- ************************************* p = 157; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99750432172663.53822 -------------- Searches starting with [157,587]-exponents: u = 5, v = 23 n_start has 75 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(157,587) = 1.040487091996479132 D2(157,587) = 0.01340552349351849643 C1(157,587) = 1.541262106046890495 C2(157,587) = 1.813875685908062941 C3(157,587) = 12.15580433700233336 C4(157,587) = 4696 Sum = 2915.896588966356527 Averaged sum = 0.2913274641788746655 logp*logq = 32.23369250424716600 -------------- ************************************* p = 157; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105013748568898.9608 -------------- Searches starting with [157,593]-exponents: u = 5, v = 19 n_start has 64 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(157,593) = 0.7193011206754855834 D2(157,593) = 0.06590349546931922106 C1(157,593) = 1.086132918450178539 C2(157,593) = 1.868040587229855292 C3(157,593) = 5.813677729425792284 C4(157,593) = 4744 Sum = 4004.532834265394678 Averaged sum = 0.4000931995469472153 logp*logq = 32.28511239626576018 -------------- ************************************* p = 157; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110497568219003.8100 -------------- Searches starting with [157,599]-exponents: u = 5, v = 15 n_start has 53 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(157,599) = 0.7220113935201755366 D2(157,599) = 0.1264617178634744912 C1(157,599) = 1.033111349164900693 C2(157,599) = 1.930248687082560212 C3(157,599) = 5.334981026725395128 C4(157,599) = 4792 Sum = 3764.250490699475600 Averaged sum = 0.3760865711559072435 logp*logq = 32.33601462957635782 -------------- ************************************* p = 157; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112375695507461.3052 -------------- Searches starting with [157,601]-exponents: u = 5, v = 15 n_start has 53 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(157,601) = 0.9498241153732957603 D2(157,601) = 0.1491625474389381331 C1(157,601) = 1.259990754696436770 C2(157,601) = 1.953495746071261824 C3(157,601) = 7.705786960084230458 C4(157,601) = 4808 Sum = 4349.677408036184225 Averaged sum = 0.4345766218439588595 logp*logq = 32.35286879786657512 -------------- ************************************* p = 157; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118164261410516.9339 -------------- Searches starting with [157,607]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(157,607) = 0.9378028217922405051 D2(157,607) = 0.02154801434735993395 C1(157,607) = 1.261766436026977429 C2(157,607) = 1.935622488319785782 C3(157,607) = 7.727993935040153200 C4(157,607) = 4856 Sum = 4810.831522447684854 Averaged sum = 0.4806505667347072488 logp*logq = 32.40309681824845181 -------------- ************************************* p = 157; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124189629620474.2367 -------------- Searches starting with [157,613]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(157,613) = 0.7493931629292120831 D2(157,613) = 0.05547747032520327184 C1(157,613) = 1.096735397411507315 C2(157,613) = 1.971266312651921179 C3(157,613) = 5.914435190753987641 C4(157,613) = 4904 Sum = 3481.286507993288774 Averaged sum = 0.3478156167442590443 logp*logq = 32.45283078452213086 -------------- ************************************* p = 157; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128341661215858.5862 -------------- Searches starting with [157,617]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(157,617) = 0.9175939457041846373 D2(157,617) = 0.07957596118078780710 C1(157,617) = 1.207477840707948254 C2(157,617) = 1.996498246035729630 C3(157,617) = 7.077126026454528018 C4(157,617) = 4936 Sum = 4206.652783905473120 Averaged sum = 0.4202870200724820781 logp*logq = 32.48571705203389550 -------------- ************************************* p = 157; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130459026648398.4102 -------------- Searches starting with [157,619]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(157,619) = 0.9924278421409187419 D2(157,619) = 0.09214797330357794604 C1(157,619) = 1.307799366507210302 C2(157,619) = 2.009634175710050923 C3(157,619) = 8.326568250505508084 C4(157,619) = 4952 Sum = 4398.307731023411960 Averaged sum = 0.4394352813491269817 logp*logq = 32.50208032134883099 -------------- ************************************* p = 157; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 143759549294088.8521 -------------- Searches starting with [157,631]-exponents: u = 14, v = 7 n_start has 51 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(157,631) = 0.6718608855006112412 D2(157,631) = 0.08875323448647251764 C1(157,631) = 0.9487892542308748381 C2(157,631) = 1.923103927975421925 C3(157,631) = 4.653552445198816609 C4(157,631) = 5048 Sum = 4202.159173375331946 Averaged sum = 0.4198380630807605101 logp*logq = 32.59916322327156425 -------------- ************************************* p = 157; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155655380692715.4370 -------------- Searches starting with [157,641]-exponents: u = 23, v = 7 n_start has 71 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(157,641) = 0.6679158770533752953 D2(157,641) = 0.05222097879248383459 C1(157,641) = 1.013137589362511377 C2(157,641) = 1.757655254400928215 C3(157,641) = 5.165053023412141468 C4(157,641) = 5128 Sum = 4135.145923079492446 Averaged sum = 0.4131427638205107849 logp*logq = 32.67866558139769134 -------------- ************************************* p = 157; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 158126607078591.1112 -------------- Searches starting with [157,643]-exponents: u = 23, v = 7 n_start has 71 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(157,643) = 0.9847619662048140351 D2(157,643) = 0.04654480435912508013 C1(157,643) = 1.311104707632932971 C2(157,643) = 1.752508923225595198 C3(157,643) = 8.371290988911634503 C4(157,643) = 5144 Sum = 4479.203753622208542 Averaged sum = 0.4475176095136585615 logp*logq = 32.69441713870155516 -------------- ************************************* p = 157; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 163163487085267.2234 -------------- Searches starting with [157,647]-exponents: u = 32, v = 7 n_start has 90 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(157,647) = 0.9298516740350551726 D2(157,647) = 0.03372869092883145374 C1(157,647) = 1.364662702565741229 C2(157,647) = 1.655254967514717093 C3(157,647) = 9.130363422993462597 C4(157,647) = 5176 Sum = 3284.784065782871897 Averaged sum = 0.3281830418406306221 logp*logq = 32.72577380233184342 -------------- ************************************* p = 157; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 170959392239313.3003 -------------- Searches starting with [157,653]-exponents: u = 41, v = 7 n_start has 110 digits starting right neighbors generation We generated 618 left neighbors We generated 9392 right neighbors We generated 10009 non-negative rho_i D1(157,653) = 0.6263662489936522441 D2(157,653) = 0.01797385292752297605 C1(157,653) = 0.8858575511651511206 C2(157,653) = 1.579151831305637884 C3(157,653) = 4.202343093569557823 C4(157,653) = 5224 Sum = 4142.086279054597135 Averaged sum = 0.4138361753476468314 logp*logq = 32.77244717194548278 -------------- ************************************* p = 157; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179051330817500.5483 -------------- Searches starting with [157,659]-exponents: u = 86, v = 7 n_start has 209 digits starting right neighbors generation We generated 1518 left neighbors We generated 8492 right neighbors We generated 10009 non-negative rho_i D1(157,659) = 0.6352310330872104239 D2(157,659) = 0.003756424506106650849 C1(157,659) = 1.049716278146033607 C2(157,659) = 1.397550777904549335 C3(157,659) = 5.480496391867757789 C4(157,659) = 5272 Sum = 4455.632831160173643 Averaged sum = 0.4451626367429487105 logp*logq = 32.81869364500384620 -------------- ************************************* p = 157; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 181815874749600.3363 -------------- Searches starting with [157,661]-exponents: u = 122, v = 7 n_start has 288 digits --- performed 5000 steps in the continued fraction search [157,661]-exponents: u = 42, v = 10 --- starting right neighbors generation We generated 6610 left neighbors We generated 3400 right neighbors We generated 10009 non-negative rho_i D1(157,661) = 0.8060156076888755359 D2(157,661) = 0.02018152265720076594 C1(157,661) = 1.073953604559520489 C2(157,661) = 1.730726485432766294 C3(157,661) = 5.700051892775615646 C4(157,661) = 5288 Sum = 4674.652573928166327 Averaged sum = 0.4670449169675458414 logp*logq = 32.83401561371455739 -------------- ************************************* p = 157; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199131197733406.0557 -------------- Searches starting with [157,673]-exponents: u = 9, v = 66 n_start has 207 digits starting right neighbors generation We generated 1516 left neighbors We generated 8494 right neighbors We generated 10009 non-negative rho_i D1(157,673) = 0.8517096601544739140 D2(157,673) = 0.001109733734504893914 C1(157,673) = 1.162403745803790246 C2(157,673) = 1.400792105322573879 C3(157,673) = 6.578585315497428189 C4(157,673) = 5384 Sum = 4045.026904513641165 Averaged sum = 0.4041389653825198487 logp*logq = 32.92498500851259047 -------------- ************************************* p = 157; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 205188058749201.3357 -------------- Searches starting with [157,677]-exponents: u = 9, v = 38 n_start has 128 digits starting right neighbors generation We generated 762 left neighbors We generated 9248 right neighbors We generated 10009 non-negative rho_i D1(157,677) = 0.5978148119358833859 D2(157,677) = 0.007592668818060631526 C1(157,677) = 0.8364176422191007781 C2(157,677) = 1.532219483179650473 C3(157,677) = 3.878772480984655122 C4(157,677) = 5416 Sum = 4256.260789866311416 Averaged sum = 0.4252433599626647433 logp*logq = 32.95494803430185799 -------------- ************************************* p = 157; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 214549641694508.8222 -------------- Searches starting with [157,683]-exponents: u = 9, v = 24 n_start has 88 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(157,683) = 0.5608441810625308059 D2(157,683) = 0.01861281425835759175 C1(157,683) = 0.7740760545720265312 C2(157,683) = 1.658438318437667278 C3(157,683) = 3.506037360450803357 C4(157,683) = 5464 Sum = 4381.366027546683752 Averaged sum = 0.4377426343837230244 logp*logq = 32.99956225733210211 -------------- ************************************* p = 157; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 227561593584368.8084 -------------- Searches starting with [157,691]-exponents: u = 9, v = 17 n_start has 69 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(157,691) = 0.8521220585867102769 D2(157,691) = 0.03469220060344823275 C1(157,691) = 1.171978185620200915 C2(157,691) = 1.766747648195998808 C3(157,691) = 6.681458447196685306 C4(157,691) = 5528 Sum = 4832.557682806068311 Averaged sum = 0.4828212291743499162 logp*logq = 33.05844205870600699 -------------- ************************************* p = 157; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 244708915061338.0093 -------------- Searches starting with [157,701]-exponents: u = 9, v = 10 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(157,701) = 0.9231778308241775919 D2(157,701) = 0.05858937577749516610 C1(157,701) = 1.232027256643784340 C2(157,701) = 1.935353556679748470 C3(157,701) = 7.364368303404780521 C4(157,701) = 5608 Sum = 4450.559387329533699 Averaged sum = 0.4446557485592500448 logp*logq = 33.13109051833035133 -------------- ************************************* p = 157; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 259160058422464.8030 -------------- Searches starting with [157,709]-exponents: u = 9, v = 10 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(157,709) = 0.6390887812865933183 D2(157,709) = 0.07606211583743518342 C1(157,709) = 0.8797304052834416769 C2(157,709) = 1.954874111969584775 C3(157,709) = 4.160821154982617166 C4(157,709) = 5672 Sum = 4428.969094962298792 Averaged sum = 0.4424986607015984406 logp*logq = 33.18846697294037964 -------------- ************************************* p = 157; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278178441092615.5841 -------------- Searches starting with [157,719]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(157,719) = 0.7227081957257453734 D2(157,719) = 0.06895224470686133090 C1(157,719) = 1.179340386269122881 C2(157,719) = 1.381608149213897186 C3(157,719) = 6.761654814928804526 C4(157,719) = 5752 Sum = 4136.208136375145792 Averaged sum = 0.4132488896368414220 logp*logq = 33.25928389813976879 -------------- ************************************* p = 157; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294185566808311.8735 -------------- Searches starting with [157,727]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(157,727) = 0.7668209731112564298 D2(157,727) = 0.03722707426206833663 C1(157,727) = 1.097228460947791116 C2(157,727) = 2.052154781921532127 C3(157,727) = 5.919163131554905813 C4(157,727) = 5816 Sum = 4192.375961791283102 Averaged sum = 0.4188606216196706067 logp*logq = 33.31523186377726022 -------------- ************************************* p = 157; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 306669054116586.1455 -------------- Searches starting with [157,733]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(157,733) = 0.7985513808166835325 D2(157,733) = 0.009078973517736524550 C1(157,733) = 1.061591789215391430 C2(157,733) = 2.025812875532766770 C3(157,733) = 5.586994135453715190 C4(157,733) = 5864 Sum = 4279.349381164012495 Averaged sum = 0.4275501429877123084 logp*logq = 33.35679028243600120 -------------- ************************************* p = 157; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 319573977964867.8019 -------------- Searches starting with [157,739]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(157,739) = 0.5955162519061002463 D2(157,739) = 0.1380864681255499173 C1(157,739) = 0.8151394112654484954 C2(157,739) = 1.895702797838924276 C3(157,739) = 3.747296756667303786 C4(157,739) = 5912 Sum = 4373.603168015166061 Averaged sum = 0.4369670464597028735 logp*logq = 33.39800990587024533 -------------- ************************************* p = 157; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 328416634876351.7320 -------------- Searches starting with [157,743]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(157,743) = 0.9112415529465367929 D2(157,743) = 0.1037326023074439321 C1(157,743) = 1.432516830849085748 C2(157,743) = 1.252029751511744761 C3(157,743) = 10.19167842319443849 C4(157,743) = 5944 Sum = 3665.488890595992794 Averaged sum = 0.3662192916970719147 logp*logq = 33.42530414653682089 -------------- ************************************* p = 157; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 346690841562873.8271 -------------- Searches starting with [157,751]-exponents: u = 17, v = 3 n_start has 46 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(157,751) = 0.9234193839153741297 D2(157,751) = 0.1049327961437840355 C1(157,751) = 1.296863716553589547 C2(157,751) = 2.019389728147857746 C3(157,751) = 8.180299935035535188 C4(157,751) = 6008 Sum = 4880.171078795867979 Averaged sum = 0.4875782874209079807 logp*logq = 33.47945455224198609 -------------- ************************************* p = 157; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 360924583449077.4398 -------------- Searches starting with [157,757]-exponents: u = 17, v = 3 n_start has 46 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(157,757) = 1.028605497754167846 D2(157,757) = 0.06185095562094921591 C1(157,757) = 1.437426522487603627 C2(157,757) = 1.977987538679770484 C3(157,757) = 10.27309469337609242 C4(157,757) = 6056 Sum = 4555.365277376324768 Averaged sum = 0.4551269135154685551 logp*logq = 33.51969014232331284 -------------- ************************************* p = 157; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 370671405166604.5215 -------------- Searches starting with [157,761]-exponents: u = 17, v = 3 n_start has 46 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(157,761) = 0.8026165877412169428 D2(157,761) = 0.03577976827235619465 C1(157,761) = 1.038538841513850648 C2(157,761) = 1.953028676672004199 C3(157,761) = 5.382114109852113453 C4(157,761) = 6088 Sum = 4065.662235895988575 Averaged sum = 0.4062006430108890573 logp*logq = 33.54633708571210904 -------------- ************************************* p = 157; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 390798555849593.9322 -------------- Searches starting with [157,769]-exponents: u = 21, v = 3 n_start has 55 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(157,769) = 0.8611092205251448820 D2(157,769) = 0.1310735079579061667 C1(157,769) = 1.225611574491346712 C2(157,769) = 1.971757014362485073 C3(157,769) = 7.288194635819906670 C4(157,769) = 6152 Sum = 4129.161581973850682 Averaged sum = 0.4125448678163503529 logp*logq = 33.59921334072083400 -------------- ************************************* p = 157; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 401185706220616.0315 -------------- Searches starting with [157,773]-exponents: u = 21, v = 3 n_start has 55 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(157,773) = 0.6103367811621295105 D2(157,773) = 0.09266993500842531914 C1(157,773) = 0.9176646478480354334 C2(157,773) = 1.934412774371674256 C3(157,773) = 4.424643021362071297 C4(157,773) = 6184 Sum = 4211.116430898234798 Averaged sum = 0.4207329834047591966 logp*logq = 33.62544554381588925 -------------- ************************************* p = 157; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 439298876823492.8611 -------------- Searches starting with [157,787]-exponents: u = 29, v = 3 n_start has 73 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(157,787) = 0.7404079780778952432 D2(157,787) = 0.08286935895792245867 C1(157,787) = 1.006416989935975107 C2(157,787) = 1.867034393773667123 C3(157,787) = 5.109102750805104921 C4(157,787) = 6296 Sum = 4286.524901435074578 Averaged sum = 0.4282670497986886380 logp*logq = 33.71620111016559059 -------------- ************************************* p = 157; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 468259359718921.2819 -------------- Searches starting with [157,797]-exponents: u = 33, v = 3 n_start has 82 digits starting right neighbors generation We generated 256 left neighbors We generated 9754 right neighbors We generated 10009 non-negative rho_i D1(157,797) = 0.7753794332147891464 D2(157,797) = 0.07098400742181560209 C1(157,797) = 1.123388080777658527 C2(157,797) = 1.808098525696741119 C3(157,797) = 6.175500864216784397 C4(157,797) = 6376 Sum = 4277.018991268570226 Averaged sum = 0.4273173135446668224 logp*logq = 33.78004344577464278 -------------- ************************************* p = 157; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 505012949693592.6680 -------------- Searches starting with [157,809]-exponents: u = 45, v = 3 n_start has 108 digits starting right neighbors generation We generated 565 left neighbors We generated 9445 right neighbors We generated 10009 non-negative rho_i D1(157,809) = 0.8092678273418522745 D2(157,809) = 0.006520154510068723019 C1(157,809) = 1.146265582859891678 C2(157,809) = 1.705212610955473682 C3(157,809) = 6.408760137915706349 C4(157,809) = 6472 Sum = 4735.670345390998506 Averaged sum = 0.4731412074523926971 logp*logq = 33.85560518783274226 -------------- ************************************* p = 157; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 511357337178087.2540 -------------- Searches starting with [157,811]-exponents: u = 49, v = 3 n_start has 117 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(157,811) = 0.5800437842331147696 D2(157,811) = 0.03688300296599648926 C1(157,811) = 0.7664325866597140596 C2(157,811) = 1.700853883540073355 C3(157,811) = 3.462875291117815447 C4(157,811) = 6488 Sum = 4431.918105864588202 Averaged sum = 0.4427932966195012691 logp*logq = 33.86808975171963031 -------------- ************************************* p = 157; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 544045676743523.0172 -------------- Searches starting with [157,821]-exponents: u = 69, v = 3 n_start has 161 digits starting right neighbors generation We generated 1207 left neighbors We generated 8803 right neighbors We generated 10009 non-negative rho_i D1(157,821) = 0.6076664873841878712 D2(157,821) = 0.02480742380500162678 C1(157,821) = 0.8372027342499811135 C2(157,821) = 1.609827327416770875 C3(157,821) = 3.883710736166293550 C4(157,821) = 6568 Sum = 4513.555601975073338 Averaged sum = 0.4509497054625910019 logp*logq = 33.93005432386172531 -------------- ************************************* p = 157; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 550780032968138.3099 -------------- Searches starting with [157,823]-exponents: u = 77, v = 3 n_start has 178 digits starting right neighbors generation We generated 1527 left neighbors We generated 8483 right neighbors We generated 10009 non-negative rho_i D1(157,823) = 0.6497614011787055768 D2(157,823) = 0.02576928318717215703 C1(157,823) = 0.8921799709904807446 C2(157,823) = 1.589787922177480508 C3(157,823) = 4.245622771975053370 C4(157,823) = 6584 Sum = 3811.132416234665512 Averaged sum = 0.3807705481301494167 logp*logq = 33.94235663116034913 -------------- ************************************* p = 157; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 564449372742080.6795 -------------- Searches starting with [157,827]-exponents: u = 93, v = 3 n_start has 213 digits starting right neighbors generation We generated 2275 left neighbors We generated 7735 right neighbors We generated 10009 non-negative rho_i D1(157,827) = 0.6762615752166858317 D2(157,827) = 0.01185724804835056021 C1(157,827) = 0.9180579052974952357 C2(157,827) = 1.539606950621118932 C3(157,827) = 4.427463845005974626 C4(157,827) = 6616 Sum = 4084.825713326337203 Averaged sum = 0.4081152675918010993 logp*logq = 33.96687181036270909 -------------- ************************************* p = 157; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 571385352174343.3191 -------------- Searches starting with [157,829]-exponents: u = 101, v = 3 n_start has 231 digits starting right neighbors generation We generated 2505 left neighbors We generated 7505 right neighbors We generated 10009 non-negative rho_i D1(157,829) = 0.7607301855928756425 D2(157,829) = 0.02046261509084343548 C1(157,829) = 1.025636181915129453 C2(157,829) = 1.517391129828503348 C3(157,829) = 5.270740636351600419 C4(157,829) = 6632 Sum = 4830.267651667601552 Averaged sum = 0.4825924319779799732 logp*logq = 33.97908497041999125 -------------- ************************************* p = 157; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 607098486641731.7813 -------------- Searches starting with [157,839]-exponents: u = 237, v = 3 n_start has 530 digits **************************************************** Computing .... elapsed time = 21 minutes **************************************************** --- performed 5000 steps in the continued fraction search [157,839]-exponents: u = 10, v = 151 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,839) = 0.8079793624016202378 D2(157,839) = 0.08025802284048475028 C1(157,839) = 1.047448375610881372 C2(157,839) = 1.374923043014955954 C3(157,839) = 5.460390249225010219 C4(157,839) = 6712 Sum = 5044.086698535146886 Averaged sum = 0.5044591157650911977 logp*logq = 34.03971214529578084 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,839) = 0.8079793624016202378 D2(157,839) = 0.08025802284048475028 C1(157,839) = 1.047448375610881372 C2(157,839) = 1.374923043014955954 C3(157,839) = 5.460390249225010219 C4(157,839) = 6712 Sum = 5044.086698535146886 Averaged sum = 0.5044591157650911977 logp*logq = 34.03971214529578084 -------------- ************************************* p = 157; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 660083298813827.8385 -------------- Searches starting with [157,853]-exponents: u = 4, v = 236 n_start has 701 digits --- performed 5000 steps in the continued fraction search [157,853]-exponents: u = 209, v = 66 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,853) = 0.6215331930123750463 D2(157,853) = 0.1772880396506967627 C1(157,853) = 0.7966327459434268627 C2(157,853) = 1.396101824085003057 C3(157,853) = 3.636575216377497650 C4(157,853) = 6824 Sum = 5219.373730039847843 Averaged sum = 0.5219895719611809024 logp*logq = 34.12338715330914815 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(157,853) = 0.6215331930123750463 D2(157,853) = 0.1772880396506967627 C1(157,853) = 0.7966327459434268627 C2(157,853) = 1.396101824085003057 C3(157,853) = 3.636575216377497650 C4(157,853) = 6824 Sum = 5219.373730039847843 Averaged sum = 0.5219895719611809024 logp*logq = 34.12338715330914815 -------------- ************************************* p = 157; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 675883708002234.0265 -------------- Searches starting with [157,857]-exponents: u = 4, v = 143 n_start has 429 digits --- performed 5000 steps in the continued fraction search [157,857]-exponents: u = 68, v = 66 --- starting right neighbors generation We generated 9213 left neighbors We generated 797 right neighbors We generated 10009 non-negative rho_i D1(157,857) = 0.9638697252083780746 D2(157,857) = 0.006473499283127331861 C1(157,857) = 1.261278285869252054 C2(157,857) = 1.383900865823536152 C3(157,857) = 7.721882674911877039 C4(157,857) = 6856 Sum = 4908.172405968522939 Averaged sum = 0.4903759022847959775 logp*logq = 34.14704214759023239 -------------- ************************************* p = 157; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 683896888024598.5315 -------------- Searches starting with [157,859]-exponents: u = 4, v = 119 n_start has 358 digits --- performed 5000 steps in the continued fraction search [157,859]-exponents: u = 100, v = 10 --- starting right neighbors generation We generated 6508 left neighbors We generated 3502 right neighbors We generated 10009 non-negative rho_i D1(157,859) = 0.7504611828453461360 D2(157,859) = 0.003027893401911789611 C1(157,859) = 0.9903981640885950745 C2(157,859) = 1.420937925989431807 C3(157,859) = 4.978174730595642128 C4(157,859) = 6872 Sum = 4730.399621961069794 Averaged sum = 0.4726146090479638119 logp*logq = 34.15882827368535225 -------------- ************************************* p = 157; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 700151897741871.4485 -------------- Searches starting with [157,863]-exponents: u = 4, v = 89 n_start has 271 digits starting right neighbors generation We generated 3730 left neighbors We generated 6280 right neighbors We generated 10009 non-negative rho_i D1(157,863) = 0.6415518543739266864 D2(157,863) = 0.0005622416472712664496 C1(157,863) = 0.8591064787601882261 C2(157,863) = 1.484157168127391007 C3(157,863) = 4.024049813841942568 C4(157,863) = 6904 Sum = 4391.794621788583551 Averaged sum = 0.4387845560783878061 logp*logq = 34.18231842420566036 -------------- ************************************* p = 157; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 759502747215927.8726 -------------- Searches starting with [157,877]-exponents: u = 4, v = 47 n_start has 148 digits starting right neighbors generation We generated 1082 left neighbors We generated 8928 right neighbors We generated 10009 non-negative rho_i D1(157,877) = 0.7215264837018681074 D2(157,877) = 0.006805561573442669812 C1(157,877) = 0.9617555656824523577 C2(157,877) = 1.641598443975391799 C3(157,877) = 4.752374622690641534 C4(157,877) = 7016 Sum = 4321.528886692902996 Averaged sum = 0.4317643007985715852 logp*logq = 34.26368505509532948 -------------- ************************************* p = 157; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 777180837230193.1858 -------------- Searches starting with [157,881]-exponents: u = 4, v = 41 n_start has 130 digits starting right neighbors generation We generated 817 left neighbors We generated 9193 right neighbors We generated 10009 non-negative rho_i D1(157,881) = 0.5977909169689073235 D2(157,881) = 0.01223800767860883210 C1(157,881) = 0.8023436466572115113 C2(157,881) = 1.676745089047197504 C3(157,881) = 3.670388770380106070 C4(157,881) = 7048 Sum = 4440.001693295739134 Averaged sum = 0.4436009284939293769 logp*logq = 34.28669417696496385 -------------- ************************************* p = 157; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 786142816211740.2774 -------------- Searches starting with [157,883]-exponents: u = 4, v = 38 n_start has 121 digits starting right neighbors generation We generated 643 left neighbors We generated 9367 right neighbors We generated 10009 non-negative rho_i D1(157,883) = 0.6696843952604888262 D2(157,883) = 0.03590037299633960489 C1(157,883) = 0.9405145797059123386 C2(157,883) = 1.700736602799941740 C3(157,883) = 4.591564227192797805 C4(157,883) = 7064 Sum = 4424.496656774877032 Averaged sum = 0.4420518190403513869 logp*logq = 34.29815959186724311 -------------- ************************************* p = 157; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 804315498462432.8477 -------------- Searches starting with [157,887]-exponents: u = 4, v = 35 n_start has 112 digits starting right neighbors generation We generated 588 left neighbors We generated 9422 right neighbors We generated 10009 non-negative rho_i D1(157,887) = 1.196826080849554835 D2(157,887) = 0.02781597320319062552 C1(157,887) = 1.619861883236847116 C2(157,887) = 1.726651882702116832 C3(157,887) = 13.80716258797651338 C4(157,887) = 7096 Sum = 5353.869966648076478 Averaged sum = 0.5349055816413304504 logp*logq = 34.32101271915737161 -------------- ************************************* p = 157; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 900304537682004.6243 -------------- Searches starting with [157,907]-exponents: u = 4, v = 23 n_start has 77 digits starting right neighbors generation We generated 238 left neighbors We generated 9772 right neighbors We generated 10009 non-negative rho_i D1(157,907) = 0.7187314243747602206 D2(157,907) = 0.07633138407071325480 C1(157,907) = 0.9967510614981336774 C2(157,907) = 1.863647810007014269 C3(157,907) = 5.029693076351053522 C4(157,907) = 7256 Sum = 4344.167693115928051 Averaged sum = 0.4340261457803904537 logp*logq = 34.43375419721910871 -------------- ************************************* p = 157; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 920560592097956.0879 -------------- Searches starting with [157,911]-exponents: u = 4, v = 23 n_start has 77 digits starting right neighbors generation We generated 309 left neighbors We generated 9701 right neighbors We generated 10009 non-negative rho_i D1(157,911) = 0.9281245477958811171 D2(157,911) = 0.01181401513768709122 C1(157,911) = 1.366147931187805552 C2(157,911) = 1.856310146005149503 C3(157,911) = 9.152366655666738285 C4(157,911) = 7288 Sum = 2638.789502659795603 Averaged sum = 0.2636416727604951146 logp*logq = 34.45600393963677046 -------------- ************************************* p = 157; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 962169585009993.8701 -------------- Searches starting with [157,919]-exponents: u = 4, v = 20 n_start has 69 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(157,919) = 0.5976225982836903970 D2(157,919) = 0.06794303644725181330 C1(157,919) = 0.7939002972351479927 C2(157,919) = 1.913821469562478189 C3(157,919) = 3.620507072945958804 C4(157,919) = 7352 Sum = 4247.543981020678463 Averaged sum = 0.4243724628854709225 logp*logq = 34.50021183485226490 -------------- ************************************* p = 157; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1016288483200618.538 -------------- Searches starting with [157,929]-exponents: u = 4, v = 17 n_start has 60 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(157,929) = 0.6587513767527502008 D2(157,929) = 0.01075157764752891293 C1(157,929) = 0.8806035558730664992 C2(157,929) = 1.929910894518899554 C3(157,929) = 4.166713088663220311 C4(157,929) = 7432 Sum = 4234.514971708986952 Averaged sum = 0.4230707335107390300 logp*logq = 34.55493364392168682 -------------- ************************************* p = 157; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1061318760180800.794 -------------- Searches starting with [157,937]-exponents: u = 4, v = 14 n_start has 51 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(157,937) = 0.7205823996651574145 D2(157,937) = 0.05468506198901518894 C1(157,937) = 1.093025544705640748 C2(157,937) = 1.975247626096932123 C3(157,937) = 5.878982648121419531 C4(157,937) = 7496 Sum = 4075.933779497121307 Averaged sum = 0.4072268737633251381 logp*logq = 34.59828864314501492 -------------- ************************************* p = 157; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1084426346288558.461 -------------- Searches starting with [157,941]-exponents: u = 4, v = 14 n_start has 51 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(157,941) = 1.019963326613430817 D2(157,941) = 0.07850577849584213804 C1(157,941) = 1.415944934964267234 C2(157,941) = 1.999765415494029161 C3(157,941) = 9.921605269625376763 C4(157,941) = 7528 Sum = 4592.155463607885230 Averaged sum = 0.4588026239991892527 logp*logq = 34.61982752898695068 -------------- ************************************* p = 157; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1119842889022607.684 -------------- Searches starting with [157,947]-exponents: u = 4, v = 14 n_start has 51 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(157,947) = 0.5948169230348258237 D2(157,947) = 0.1172399859843816401 C1(157,947) = 0.8293168158670783107 C2(157,947) = 2.039539616764429006 C3(157,947) = 3.834392301670857866 C4(157,947) = 7576 Sum = 4165.214494702962101 Averaged sum = 0.4161469172447759118 logp*logq = 34.65196479271947150 -------------- ************************************* p = 157; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1156181411146655.151 -------------- Searches starting with [157,953]-exponents: u = 4, v = 14 n_start has 51 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(157,953) = 0.7366305828899771463 D2(157,953) = 0.1229001076138488497 C1(157,953) = 1.142122157142166349 C2(157,953) = 1.405265039249147686 C3(157,953) = 6.365869885719275267 C4(157,953) = 7624 Sum = 4032.407682784658476 Averaged sum = 0.4028781779183393422 logp*logq = 34.68389908290629774 -------------- ************************************* p = 157; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1244658148701564.496 -------------- Searches starting with [157,967]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(157,967) = 0.9625480822328321718 D2(157,967) = 0.03183718593734154551 C1(157,967) = 1.287818728298179058 C2(157,967) = 2.053087404424889665 C3(157,967) = 8.061263365289706915 C4(157,967) = 7736 Sum = 4554.922184247177842 Averaged sum = 0.4550826440450772146 logp*logq = 34.75763730776736973 -------------- ************************************* p = 157; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1270909718987784.338 -------------- Searches starting with [157,971]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(157,971) = 1.023311098028423282 D2(157,971) = 0.04818745245566781622 C1(157,971) = 1.353849329389436337 C2(157,971) = 2.070145050959971524 C3(157,971) = 8.971752981709519310 C4(157,971) = 7768 Sum = 4352.051009110898418 Averaged sum = 0.4348137685194223617 logp*logq = 34.77850935311425363 -------------- ************************************* p = 157; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1311118200729778.480 -------------- Searches starting with [157,977]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(157,977) = 0.6109391493308550398 D2(157,977) = 0.07387591736591321710 C1(157,977) = 0.8490136580499526314 C2(157,977) = 2.096889053978931966 C3(157,977) = 3.958765133606654853 C4(157,977) = 7816 Sum = 4209.006121669871174 Averaged sum = 0.4205221422389720425 logp*logq = 34.80965675636773709 -------------- ************************************* p = 157; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1352340865272204.268 -------------- Searches starting with [157,983]-exponents: u = 4, v = 11 n_start has 42 digits starting right neighbors generation We generated 79 left neighbors We generated 9931 right neighbors We generated 10009 non-negative rho_i D1(157,983) = 0.7010780245091716564 D2(157,983) = 0.08639158886355855879 C1(157,983) = 1.120732035291614139 C2(157,983) = 1.436885101781890860 C3(157,983) = 6.148975847295461560 C4(157,983) = 7864 Sum = 4288.601977513248736 Averaged sum = 0.4284745706377508978 logp*logq = 34.84061346003890654 -------------- ************************************* p = 157; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1408915178885116.593 -------------- Searches starting with [157,991]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(157,991) = 0.7343752117382906902 D2(157,991) = 0.09209449018803898389 C1(157,991) = 0.9685916401685813088 C2(157,991) = 1.416780123143413879 C3(157,991) = 4.805317522541402925 C4(157,991) = 7928 Sum = 4213.918145923953759 Averaged sum = 0.4210129029797136336 logp*logq = 34.88159642650140812 -------------- ************************************* p = 157; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1452579182204183.656 -------------- Searches starting with [157,997]-exponents: u = 4, v = 8 n_start has 33 digits starting right neighbors generation We generated 25 left neighbors We generated 9985 right neighbors We generated 10009 non-negative rho_i D1(157,997) = 1.016840650902727940 D2(157,997) = 0.09628459800661471212 C1(157,997) = 1.357025154475041543 C2(157,997) = 1.975768777352735095 C3(157,997) = 9.018048006241371164 C4(157,997) = 7976 Sum = 4537.968667587518870 Averaged sum = 0.4533888168236106374 logp*logq = 34.91211711759504540 -------------- ************************************* p = 163; q = 167; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 209875851544.6692862 -------------- Searches starting with [163,167]-exponents: u = 1, v = 210 n_start has 469 digits --- performed 5000 steps in the continued fraction search [163,167]-exponents: u = 50, v = 136 --- starting right neighbors generation We generated 5924 left neighbors We generated 4086 right neighbors We generated 10009 non-negative rho_i D1(163,167) = 0.8530417959711733274 D2(163,167) = 0.003453080685367529252 C1(163,167) = 1.112533894860929815 C2(163,167) = 1.056206965873198313 C3(163,167) = 6.117913651040244445 C4(163,167) = 1336 Sum = 5328.439620231598644 Averaged sum = 0.5323648336728542955 logp*logq = 26.06978200972561345 -------------- ************************************* p = 163; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 251216284002.1810741 -------------- Searches starting with [163,173]-exponents: u = 1, v = 85 n_start has 193 digits starting right neighbors generation We generated 1052 left neighbors We generated 8958 right neighbors We generated 10009 non-negative rho_i D1(163,173) = 0.5916646272273124757 D2(163,173) = 0.001842320605249957422 C1(163,173) = 0.8073516656713477481 C2(163,173) = 1.218716023117070155 C3(163,173) = 3.722442679466598247 C4(163,173) = 1384 Sum = 4955.163804172757862 Averaged sum = 0.4950708166822617506 logp*logq = 26.24958009428886196 -------------- ************************************* p = 163; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 298861917762.0335382 -------------- Searches starting with [163,179]-exponents: u = 1, v = 54 n_start has 124 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(163,179) = 0.6257200529422717200 D2(163,179) = 0.00009841133529272725180 C1(163,179) = 0.8420221412319124291 C2(163,179) = 1.322210544699826661 C3(163,179) = 3.938595226980735343 C4(163,179) = 1432 Sum = 4564.662592735964008 Averaged sum = 0.4560558090454554908 logp*logq = 26.42324749016349441 -------------- ************************************* p = 163; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 316264680639.0165012 -------------- Searches starting with [163,181]-exponents: u = 1, v = 48 n_start has 111 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(163,181) = 0.5827946060389396710 D2(163,181) = 0.04048126885260230434 C1(163,181) = 0.8253284492937721203 C2(163,181) = 1.385863438024105877 C3(163,181) = 3.832995255285821886 C4(163,181) = 1448 Sum = 4785.707761233898134 Averaged sum = 0.4781404497186430347 logp*logq = 26.47984529690365775 -------------- ************************************* p = 163; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 415924183254.0057860 -------------- Searches starting with [163,191]-exponents: u = 1, v = 32 n_start has 76 digits starting right neighbors generation We generated 188 left neighbors We generated 9822 right neighbors We generated 10009 non-negative rho_i D1(163,191) = 0.7517725784891539075 D2(163,191) = 0.01554835263619948095 C1(163,191) = 1.101819092996136993 C2(163,191) = 1.484575103631819852 C3(163,191) = 6.012119091446108038 C4(163,191) = 1528 Sum = 3603.354734920260954 Averaged sum = 0.3600114631751684438 logp*logq = 26.75376882880454289 -------------- ************************************* p = 163; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 438589269162.8996149 -------------- Searches starting with [163,193]-exponents: u = 1, v = 30 n_start has 71 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(163,193) = 0.7219299405268546941 D2(163,193) = 0.07110873535159266244 C1(163,193) = 1.064204856315103330 C2(163,193) = 1.552428726267709512 C3(163,193) = 5.655003701055690615 C4(163,193) = 1544 Sum = 3991.687070477591066 Averaged sum = 0.3988097782473365038 logp*logq = 26.80682920651803878 -------------- ************************************* p = 163; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 486897786570.8251628 -------------- Searches starting with [163,197]-exponents: u = 1, v = 26 n_start has 62 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(163,197) = 0.7719751460966437430 D2(163,197) = 0.06560328189025092366 C1(163,197) = 1.149138853230055358 C2(163,197) = 1.585998478527470503 C3(163,197) = 6.493583456215802038 C4(163,197) = 1576 Sum = 4259.796745670961241 Averaged sum = 0.4255966375932621881 logp*logq = 26.91132005416216448 -------------- ************************************* p = 163; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 512605568401.6893857 -------------- Searches starting with [163,199]-exponents: u = 1, v = 25 n_start has 60 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(163,199) = 0.8179006459561634333 D2(163,199) = 0.08801299524638610748 C1(163,199) = 1.153283206491102800 C2(163,199) = 1.623382236978889591 C3(163,199) = 6.537544232173942107 C4(163,199) = 1592 Sum = 4663.672589191479932 Averaged sum = 0.4659479058039244611 logp*logq = 26.96277251387178704 -------------- ************************************* p = 163; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 690739391082.2952522 -------------- Searches starting with [163,211]-exponents: u = 1, v = 19 n_start has 47 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(163,211) = 0.6875432231259965309 D2(163,211) = 0.1250371749767762571 C1(163,211) = 0.9408517997866879137 C2(163,211) = 1.751919774791166367 C3(163,211) = 4.626127936757719054 C4(163,211) = 1688 Sum = 4721.585953747463456 Averaged sum = 0.4717340347434772161 logp*logq = 27.26102844208301797 -------------- ************************************* p = 163; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 915542201504.2039761 -------------- Searches starting with [163,223]-exponents: u = 1, v = 16 n_start has 40 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(163,223) = 1.015237974288203250 D2(163,223) = 0.1667018248200357938 C1(163,223) = 1.405597749727324794 C2(163,223) = 1.869839716073257303 C3(163,223) = 9.858492724332577924 C4(163,223) = 1784 Sum = 5470.318780625364441 Averaged sum = 0.5465399920696737377 logp*logq = 27.54278229667163674 -------------- ************************************* p = 163; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1002321816234.387741 -------------- Searches starting with [163,227]-exponents: u = 1, v = 15 n_start has 38 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(163,227) = 0.6738065657891537512 D2(163,227) = 0.1260982413093419981 C1(163,227) = 0.8988171379898595611 C2(163,227) = 1.859187651971866765 C3(163,227) = 4.320137313894486117 C4(163,227) = 1816 Sum = 4588.057936312753252 Averaged sum = 0.4583932397155313470 logp*logq = 27.63334024091254371 -------------- ************************************* p = 163; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1048123508737.873715 -------------- Searches starting with [163,229]-exponents: u = 1, v = 14 n_start has 36 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(163,229) = 1.168559280491520530 D2(163,229) = 0.009026273544154987292 C1(163,229) = 1.854716317601347953 C2(163,229) = 1.773684752699314510 C3(163,229) = 20.48114602625484739 C4(163,229) = 1832 Sum = 4444.894599609709154 Averaged sum = 0.4440897791597271609 logp*logq = 27.67802254673253117 -------------- ************************************* p = 163; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1144773844214.083739 -------------- Searches starting with [163,233]-exponents: u = 1, v = 14 n_start has 36 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(163,233) = 0.8092711423491066622 D2(163,233) = 0.1332717542328346582 C1(163,233) = 1.129766233614591166 C2(163,233) = 1.900676622466403239 C3(163,233) = 6.291978865660104965 C4(163,233) = 1864 Sum = 4899.318454910550553 Averaged sum = 0.4894913033180687934 logp*logq = 27.76622821745567047 -------------- ************************************* p = 163; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1303061116421.170224 -------------- Searches starting with [163,239]-exponents: u = 1, v = 13 n_start has 34 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(163,239) = 0.6811550433438285576 D2(163,239) = 0.1026745408109734680 C1(163,239) = 0.8933605593066249711 C2(163,239) = 1.907989708750821730 C3(163,239) = 4.281929813788597974 C4(163,239) = 1912 Sum = 3960.231524793628700 Averaged sum = 0.3956670521324436706 logp*logq = 27.89573731736204736 -------------- ************************************* p = 163; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1359564415089.251625 -------------- Searches starting with [163,241]-exponents: u = 1, v = 13 n_start has 34 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(163,241) = 1.074760637881919523 D2(163,241) = 0.09298072700084821739 C1(163,241) = 1.737808014357218277 C2(163,241) = 1.047239764997986099 C3(163,241) = 16.93150966339460351 C4(163,241) = 1928 Sum = 2611.824674562627655 Averaged sum = 0.2609476146031199575 logp*logq = 27.93818548135233816 -------------- ************************************* p = 163; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1672393614491.333754 -------------- Searches starting with [163,251]-exponents: u = 1, v = 11 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(163,251) = 1.100776510027191048 D2(163,251) = 0.1295841830620059169 C1(163,251) = 1.531680650564335385 C2(163,251) = 1.728306826705993378 C3(163,251) = 12.10475147590544584 C4(163,251) = 2008 Sum = 5720.461936697148755 Averaged sum = 0.5715318150361823114 logp*logq = 28.14527701825083931 -------------- ************************************* p = 163; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1886241652793.625608 -------------- Searches starting with [163,257]-exponents: u = 1, v = 11 n_start has 29 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(163,257) = 0.6113780344574578904 D2(163,257) = 0.08288604925757173963 C1(163,257) = 0.8534998408112019551 C2(163,257) = 1.982314916888824009 C3(163,257) = 4.012883169423482401 C4(163,257) = 2056 Sum = 4274.766608431980966 Averaged sum = 0.4270922777931842308 logp*logq = 28.26560742172702840 -------------- ************************************* p = 163; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2121534408342.108404 -------------- Searches starting with [163,263]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(163,263) = 0.8571261149080992657 D2(163,263) = 0.1047299391545315160 C1(163,263) = 1.120995978490054474 C2(163,263) = 1.744893504139068249 C3(163,263) = 6.202779668337006267 C4(163,263) = 2104 Sum = 4026.775574742552653 Averaged sum = 0.4023154735480620095 logp*logq = 28.38316072033169861 -------------- ************************************* p = 163; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2379858655261.434501 -------------- Searches starting with [163,269]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(163,269) = 0.9520035306471393142 D2(163,269) = 0.05848352692650911870 C1(163,269) = 1.320610636231900417 C2(163,269) = 2.016651986923135924 C3(163,269) = 8.584627037907193710 C4(163,269) = 2152 Sum = 5363.293607976710980 Averaged sum = 0.5358470984091029053 logp*logq = 28.49806221330274628 -------------- ************************************* p = 163; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2471370247446.309240 -------------- Searches starting with [163,271]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(163,271) = 1.141098477518139146 D2(163,271) = 0.05173842467846523768 C1(163,271) = 1.915887884902017704 C2(163,271) = 1.017271739811519271 C3(163,271) = 22.62584745654614668 C4(163,271) = 2168 Sum = 3005.893266301764139 Averaged sum = 0.3003190394946312458 logp*logq = 28.53579386879931909 -------------- ************************************* p = 163; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2763005911756.144128 -------------- Searches starting with [163,277]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(163,277) = 0.7381214942656820278 D2(163,277) = 0.07834835985396079094 C1(163,277) = 1.040791990773935243 C2(163,277) = 1.766365206451971923 C3(163,277) = 5.443511142433329939 C4(163,277) = 2216 Sum = 4464.087431413563873 Averaged sum = 0.4460073365384717627 logp*logq = 28.64734030148250221 -------------- ************************************* p = 163; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2972338786753.599774 -------------- Searches starting with [163,281]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(163,281) = 0.9429231631528646683 D2(163,281) = 0.06473859094409301116 C1(163,281) = 1.239818574543460487 C2(163,281) = 1.611295353671275227 C3(163,281) = 7.526592492593262125 C4(163,281) = 2248 Sum = 4312.263068003406379 Averaged sum = 0.4308385521034475351 logp*logq = 28.72037022913851353 -------------- ************************************* p = 163; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3081680769683.350480 -------------- Searches starting with [163,283]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(163,283) = 0.6416106927387193759 D2(163,283) = 0.006852903903963664904 C1(163,283) = 0.8552061141972908636 C2(163,283) = 2.034227882797788014 C3(163,283) = 4.024045803733964978 C4(163,283) = 2264 Sum = 4258.588771287991711 Averaged sum = 0.4254759487749017595 logp*logq = 28.75649626851415509 -------------- ************************************* p = 163; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3677963682456.386481 -------------- Searches starting with [163,293]-exponents: u = 1, v = 8 n_start has 22 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(163,293) = 0.6719335708745032286 D2(163,293) = 0.05083793352802750646 C1(163,293) = 0.9968212311882943166 C2(163,293) = 1.794672073210482232 C3(163,293) = 5.067457721437931586 C4(163,293) = 2344 Sum = 4186.196945878099356 Averaged sum = 0.4182432756397341749 logp*logq = 28.93338036779775771 -------------- ************************************* p = 163; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4665106895194.167095 -------------- Searches starting with [163,307]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(163,307) = 0.9221812243936090519 D2(163,307) = 0.01711063368077965923 C1(163,307) = 1.605659970510929351 C2(163,307) = 2.132019826653351710 C3(163,307) = 13.65406736943756440 C4(163,307) = 2456 Sum = 4547.049893634962640 Averaged sum = 0.4542961228529286283 logp*logq = 29.17113186426204007 -------------- ************************************* p = 163; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4983090012600.763159 -------------- Searches starting with [163,311]-exponents: u = 9, v = 7 n_start has 38 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(163,311) = 0.6687690219941307804 D2(163,311) = 0.02234673337302394642 C1(163,311) = 1.164287580936756483 C2(163,311) = 1.832353980000137288 C3(163,311) = 6.655721592910087596 C4(163,311) = 2488 Sum = 4586.733118520112827 Averaged sum = 0.4582608770626548933 logp*logq = 29.23707129900220503 -------------- ************************************* p = 163; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5148485222009.546304 -------------- Searches starting with [163,313]-exponents: u = 9, v = 7 n_start has 38 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(163,313) = 0.6941913387330293329 D2(163,313) = 0.01923727667286883877 C1(163,313) = 0.9928508470018297732 C2(163,313) = 1.830513963557054034 C3(163,313) = 5.034808108111446164 C4(163,313) = 2504 Sum = 3571.193454682853693 Averaged sum = 0.3567982270639278343 logp*logq = 29.26972365569036385 -------------- ************************************* p = 163; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5492513324319.375281 -------------- Searches starting with [163,317]-exponents: u = 9, v = 7 n_start has 38 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(163,317) = 0.8293199781942547167 D2(163,317) = 0.01314295127057615257 C1(163,317) = 1.243716789050150205 C2(163,317) = 1.826933800759530710 C3(163,317) = 7.574510768362521874 C4(163,317) = 2536 Sum = 3749.583873703393427 Averaged sum = 0.3746212282649009319 logp*logq = 29.33440706711381794 -------------- ************************************* p = 163; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6845014135025.563387 -------------- Searches starting with [163,331]-exponents: u = 41, v = 7 n_start has 109 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(163,331) = 0.7769556691677725504 D2(163,331) = 0.05388219975475488732 C1(163,331) = 1.022686173952359184 C2(163,331) = 1.710966305465188595 C3(163,331) = 5.285397101082613702 C4(163,331) = 2648 Sum = 4029.633315991863119 Averaged sum = 0.4026009907075495173 logp*logq = 29.55454163968151979 -------------- ************************************* p = 163; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7500933498516.356857 -------------- Searches starting with [163,337]-exponents: u = 617, v = 7 n_start has 1383 digits --- performed 5000 steps in the continued fraction search [163,337]-exponents: u = 33, v = 510 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,337) = 0.8696598879405345916 D2(163,337) = 0.4380038163338880008 C1(163,337) = 1.090025277645190098 C2(163,337) = 1.420983473707430846 C3(163,337) = 5.897784548659681745 C4(163,337) = 2696 Sum = 5793.694256344209910 Averaged sum = 0.5794273683712581168 logp*logq = 29.64604859519435229 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,337) = 0.8696598879405345916 D2(163,337) = 0.4380038163338880008 C1(163,337) = 1.090025277645190098 C2(163,337) = 1.420983473707430846 C3(163,337) = 5.897784548659681745 C4(163,337) = 2696 Sum = 5793.694256344209910 Averaged sum = 0.5794273683712581168 logp*logq = 29.64604859519435229 -------------- ************************************* p = 163; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8705701505800.274598 -------------- Searches starting with [163,347]-exponents: u = 8, v = 20 n_start has 69 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(163,347) = 0.7222024941716502404 D2(163,347) = 0.05735714404678479919 C1(163,347) = 1.064590495356666334 C2(163,347) = 1.647022520007979831 C3(163,347) = 5.658555173516638566 C4(163,347) = 2776 Sum = 4026.104045641576592 Averaged sum = 0.4022483810212385445 logp*logq = 29.79499927243828491 -------------- ************************************* p = 163; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8964323674275.079293 -------------- Searches starting with [163,349]-exponents: u = 8, v = 20 n_start has 69 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(163,349) = 0.6597468466682324896 D2(163,349) = 0.07385336179483038465 C1(163,349) = 0.8929797744583148557 C2(163,349) = 1.664521005048985290 C3(163,349) = 4.279276168801287755 C4(163,349) = 2792 Sum = 4277.517210000872369 Averaged sum = 0.4273670906185305594 logp*logq = 29.82427377945664929 -------------- ************************************* p = 163; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9500094321174.474954 -------------- Searches starting with [163,353]-exponents: u = 8, v = 13 n_start has 51 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(163,353) = 0.6571431031275660598 D2(163,353) = 0.1167846745531569402 C1(163,353) = 0.9512497844975212375 C2(163,353) = 1.820472416998950496 C3(163,353) = 4.705105932390584032 C4(163,353) = 2824 Sum = 4073.372642247984403 Averaged sum = 0.4069709903334982918 logp*logq = 29.88232284303043726 -------------- ************************************* p = 163; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10351728202346.41639 -------------- Searches starting with [163,359]-exponents: u = 15, v = 6 n_start has 49 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(163,359) = 0.5879452726240094172 D2(163,359) = 0.1326830527965989762 C1(163,359) = 0.8051552376223131252 C2(163,359) = 1.859051908846908324 C3(163,359) = 3.709155678149079125 C4(163,359) = 2872 Sum = 4505.235225859816651 Averaged sum = 0.4501184160115712509 logp*logq = 29.96817459777309111 -------------- ************************************* p = 163; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11581592490241.85335 -------------- Searches starting with [163,367]-exponents: u = 22, v = 6 n_start has 65 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(163,367) = 0.5806818711871404599 D2(163,367) = 0.04849176880077537573 C1(163,367) = 0.7964209342992789312 C2(163,367) = 1.779228615943165660 C3(163,367) = 3.656786292995797824 C4(163,367) = 2936 Sum = 4490.266765873170333 Averaged sum = 0.4486229159629503780 logp*logq = 30.08043809936456044 -------------- ************************************* p = 163; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12578891712489.11066 -------------- Searches starting with [163,373]-exponents: u = 43, v = 6 n_start has 111 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(163,373) = 0.7934996328830347461 D2(163,373) = 0.05162316862146654196 C1(163,373) = 1.078507999721927889 C2(163,373) = 1.678876680819541813 C3(163,373) = 5.788229659721442760 C4(163,373) = 2984 Sum = 4721.565496740823981 Averaged sum = 0.4717319908822883385 logp*logq = 30.16304126415367577 -------------- ************************************* p = 163; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13644071719207.07449 -------------- Searches starting with [163,379]-exponents: u = 190, v = 6 n_start has 436 digits --- performed 5000 steps in the continued fraction search [163,379]-exponents: u = 132, v = 27 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,379) = 0.7470669334639992094 D2(163,379) = 0.1519467187570069624 C1(163,379) = 0.9788622639165012810 C2(163,379) = 1.383525197378275628 C3(163,379) = 4.921443097637680109 C4(163,379) = 3032 Sum = 5056.369445408959048 Averaged sum = 0.5056875132922251273 logp*logq = 30.24432623693603079 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,379) = 0.7470669334639992094 D2(163,379) = 0.1519467187570069624 C1(163,379) = 0.9788622639165012810 C2(163,379) = 1.383525197378275628 C3(163,379) = 4.921443097637680109 C4(163,379) = 3032 Sum = 5056.369445408959048 Averaged sum = 0.5056875132922251273 logp*logq = 30.24432623693603079 -------------- ************************************* p = 163; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14393594836631.01493 -------------- Searches starting with [163,383]-exponents: u = 7, v = 155 n_start has 416 digits --- performed 5000 steps in the continued fraction search [163,383]-exponents: u = 87, v = 56 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,383) = 0.5485833340023049389 D2(163,383) = 0.1234838515446545365 C1(163,383) = 0.7203841220393751672 C2(163,383) = 1.381792584268544735 C3(163,383) = 3.231012899127997227 C4(163,383) = 3064 Sum = 5040.219969300159625 Averaged sum = 0.5040724041704330058 logp*logq = 30.29780442054456394 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,383) = 0.5485833340023049389 D2(163,383) = 0.1234838515446545365 C1(163,383) = 0.7203841220393751672 C2(163,383) = 1.381792584268544735 C3(163,383) = 3.231012899127997227 C4(163,383) = 3064 Sum = 5040.219969300159625 Averaged sum = 0.5040724041704330058 logp*logq = 30.29780442054456394 -------------- ************************************* p = 163; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15579599952994.81236 -------------- Searches starting with [163,389]-exponents: u = 7, v = 35 n_start has 107 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(163,389) = 0.9084587044110017375 D2(163,389) = 0.03172228332586593467 C1(163,389) = 1.290506495671685521 C2(163,389) = 1.694836236233152981 C3(163,389) = 8.174038355415779748 C4(163,389) = 3112 Sum = 5056.784276306313992 Averaged sum = 0.5052237262769821152 logp*logq = 30.37698347908352072 -------------- ************************************* p = 163; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17281827492239.26482 -------------- Searches starting with [163,397]-exponents: u = 7, v = 17 n_start has 60 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(163,397) = 0.9960659476609149183 D2(163,397) = 0.02136198960058444727 C1(163,397) = 1.334197821519725576 C2(163,397) = 1.688470985373167789 C3(163,397) = 8.776635926979456895 C4(163,397) = 3176 Sum = 4591.154926426705957 Averaged sum = 0.4587026602484469934 logp*logq = 30.48067663136524670 -------------- ************************************* p = 163; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18187255618215.27159 -------------- Searches starting with [163,401]-exponents: u = 7, v = 11 n_start has 45 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(163,401) = 0.8197193273057673088 D2(163,401) = 0.04708501526877958242 C1(163,401) = 1.265191317343923310 C2(163,401) = 1.839034885839380268 C3(163,401) = 7.844005458584797789 C4(163,401) = 3208 Sum = 3962.047824778501380 Averaged sum = 0.3958485188109203097 logp*logq = 30.53174222397082456 -------------- ************************************* p = 163; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20112503126300.14858 -------------- Searches starting with [163,409]-exponents: u = 7, v = 11 n_start has 45 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(163,409) = 0.6537279166796627152 D2(163,409) = 0.09944718562122204440 C1(163,409) = 0.8932872157755372203 C2(163,409) = 1.894912651787143616 C3(163,409) = 4.281418563393533479 C4(163,409) = 3272 Sum = 4068.947615016588965 Averaged sum = 0.4065288855047046623 logp*logq = 30.63236278368769148 -------------- ************************************* p = 163; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22745904219249.92957 -------------- Searches starting with [163,419]-exponents: u = 13, v = 5 n_start has 42 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(163,419) = 0.7425944884403314546 D2(163,419) = 0.05879064430545045535 C1(163,419) = 1.091425013322549919 C2(163,419) = 1.884588510744098960 C3(163,419) = 5.911239684535145426 C4(163,419) = 3352 Sum = 3779.069924487236929 Averaged sum = 0.3775671819849372493 logp*logq = 30.75540621079869989 -------------- ************************************* p = 163; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23304374600490.04658 -------------- Searches starting with [163,421]-exponents: u = 13, v = 5 n_start has 42 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(163,421) = 0.8315987109257764972 D2(163,421) = 0.04428078417934275094 C1(163,421) = 1.113899326747680023 C2(163,421) = 1.871057963059684284 C3(163,421) = 6.131528549422096341 C4(163,421) = 3368 Sum = 4523.538381359009032 Averaged sum = 0.4519470857587180569 logp*logq = 30.77966220997116565 -------------- ************************************* p = 163; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26264499177110.34549 -------------- Searches starting with [163,431]-exponents: u = 25, v = 5 n_start has 69 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(163,431) = 0.7171544644662622703 D2(163,431) = 0.08656295796121860252 C1(163,431) = 0.9566403850725931218 C2(163,431) = 1.800269760051810255 C3(163,431) = 4.746579544043197621 C4(163,431) = 3448 Sum = 4274.617598501021297 Averaged sum = 0.4270773901989230989 logp*logq = 30.89923930208149084 -------------- ************************************* p = 163; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26891235216447.01332 -------------- Searches starting with [163,433]-exponents: u = 25, v = 5 n_start has 69 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(163,433) = 0.8003984777572017426 D2(163,433) = 0.06064655424950581748 C1(163,433) = 1.092177923913342787 C2(163,433) = 1.775269758229075368 C3(163,433) = 5.918489824584962637 C4(163,433) = 3464 Sum = 4540.548438578247310 Averaged sum = 0.4536465619520678699 logp*logq = 30.92282152105787080 -------------- ************************************* p = 163; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28843913242490.21879 -------------- Searches starting with [163,439]-exponents: u = 43, v = 5 n_start has 109 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(163,439) = 0.8406154997441820943 D2(163,439) = 0.05251453714597338107 C1(163,439) = 1.204471195732961429 C2(163,439) = 1.689353594558617309 C3(163,439) = 7.105693582207262080 C4(163,439) = 3512 Sum = 3385.121426184397459 Averaged sum = 0.3382077556383652172 logp*logq = 30.99292010716028163 -------------- ************************************* p = 163; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30207828839110.94652 -------------- Searches starting with [163,443]-exponents: u = 61, v = 5 n_start has 149 digits starting right neighbors generation We generated 1562 left neighbors We generated 8448 right neighbors We generated 10009 non-negative rho_i D1(163,443) = 0.6823890096341581633 D2(163,443) = 0.02886749304498380277 C1(163,443) = 0.9113527693307199800 C2(163,443) = 1.607520871733652821 C3(163,443) = 4.409209293806277017 C4(163,443) = 3544 Sum = 4543.953229771263728 Averaged sum = 0.4539867349157022408 logp*logq = 31.03912223979742624 -------------- ************************************* p = 163; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32350450441079.13538 -------------- Searches starting with [163,449]-exponents: u = 217, v = 5 n_start has 494 digits --- performed 5000 steps in the continued fraction search [163,449]-exponents: u = 22, v = 143 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,449) = 0.5342179571865535094 D2(163,449) = 0.1550144672928006757 C1(163,449) = 0.7053945369326686547 C2(163,449) = 1.368761917259258838 C3(163,449) = 3.153119939587784091 C4(163,449) = 3592 Sum = 5126.130266025541580 Averaged sum = 0.5126642930318573437 logp*logq = 31.10764906076860139 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,449) = 0.5342179571865535094 D2(163,449) = 0.1550144672928006757 C1(163,449) = 0.7053945369326686547 C2(163,449) = 1.368761917259258838 C3(163,449) = 3.153119939587784091 C4(163,449) = 3592 Sum = 5126.130266025541580 Averaged sum = 0.5126642930318573437 logp*logq = 31.10764906076860139 -------------- ************************************* p = 163; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35395551072247.95784 -------------- Searches starting with [163,457]-exponents: u = 6, v = 79 n_start has 224 digits starting right neighbors generation We generated 3674 left neighbors We generated 6336 right neighbors We generated 10009 non-negative rho_i D1(163,457) = 0.8604486916239856787 D2(163,457) = 0.01035587301948712590 C1(163,457) = 1.163977668055750205 C2(163,457) = 1.521935833667092682 C3(163,457) = 6.652364344750592195 C4(163,457) = 3656 Sum = 4926.703375098705897 Averaged sum = 0.4922273329102513635 logp*logq = 31.19760725224519723 -------------- ************************************* p = 163; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37002163992340.19089 -------------- Searches starting with [163,461]-exponents: u = 6, v = 44 n_start has 131 digits starting right neighbors generation We generated 1177 left neighbors We generated 8833 right neighbors We generated 10009 non-negative rho_i D1(163,461) = 0.9198725465967103009 D2(163,461) = 0.02901387431148953497 C1(163,461) = 1.287144635466239416 C2(163,461) = 1.634584014745301075 C3(163,461) = 8.129422768740318799 C4(163,461) = 3688 Sum = 5252.435759075530837 Averaged sum = 0.5247712817539745066 logp*logq = 31.24199751314198151 -------------- ************************************* p = 163; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37827157548311.82510 -------------- Searches starting with [163,463]-exponents: u = 6, v = 39 n_start has 118 digits starting right neighbors generation We generated 1016 left neighbors We generated 8994 right neighbors We generated 10009 non-negative rho_i D1(163,463) = 0.6092792394605134509 D2(163,463) = 0.01138514095102623003 C1(163,463) = 0.8669194666545504492 C2(163,463) = 1.684169103329710074 C3(163,463) = 4.101518705546310218 C4(163,463) = 3704 Sum = 4088.325285035730173 Averaged sum = 0.4084649100844969700 logp*logq = 31.26404841424885264 -------------- ************************************* p = 163; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39521497902274.41234 -------------- Searches starting with [163,467]-exponents: u = 6, v = 29 n_start has 91 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(163,467) = 0.6287593831165401207 D2(163,467) = 0.06549050993099976770 C1(163,467) = 0.9166890540551429511 C2(163,467) = 1.739637690109366979 C3(163,467) = 4.447681383459739486 C4(163,467) = 3736 Sum = 4128.786713928556566 Averaged sum = 0.4125074147196080093 logp*logq = 31.30786589047542415 -------------- ************************************* p = 163; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44973797457253.07748 -------------- Searches starting with [163,479]-exponents: u = 6, v = 14 n_start has 51 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(163,479) = 0.6580980747165190032 D2(163,479) = 0.1006010551634756934 C1(163,479) = 0.9166928759544190955 C2(163,479) = 1.870999521675659958 C3(163,479) = 4.447709057494494106 C4(163,479) = 3832 Sum = 4367.067241083649767 Averaged sum = 0.4363140414710410398 logp*logq = 31.43710115738106454 -------------- ************************************* p = 163; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48932926021613.62513 -------------- Searches starting with [163,487]-exponents: u = 6, v = 9 n_start has 38 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(163,487) = 1.001593148919968680 D2(163,487) = 0.1362590135155729512 C1(163,487) = 1.328340090120359113 C2(163,487) = 1.367620148120993270 C3(163,487) = 8.693335622354599141 C4(163,487) = 3896 Sum = 4473.686755240061506 Averaged sum = 0.4469664057588232097 logp*logq = 31.52147161959722477 -------------- ************************************* p = 163; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51014882522048.74224 -------------- Searches starting with [163,491]-exponents: u = 6, v = 9 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(163,491) = 0.7652691031438130620 D2(163,491) = 0.004735943340243519816 C1(163,491) = 1.026420783456175525 C2(163,491) = 1.921326279606884364 C3(163,491) = 5.317630193188547321 C4(163,491) = 3928 Sum = 4393.499521259940786 Averaged sum = 0.4389548927225437892 logp*logq = 31.56313852024122248 -------------- ************************************* p = 163; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55392401751061.94643 -------------- Searches starting with [163,499]-exponents: u = 6, v = 9 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(163,499) = 1.107974112146855623 D2(163,499) = 0.03604268152015116419 C1(163,499) = 1.445015534467889393 C2(163,499) = 1.955610620791395020 C3(163,499) = 10.51187959812758044 C4(163,499) = 3992 Sum = 3721.401095029791189 Averaged sum = 0.3718054845668689368 logp*logq = 31.64546354776761394 -------------- ************************************* p = 163; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57691584413269.47953 -------------- Searches starting with [163,503]-exponents: u = 6, v = 9 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(163,503) = 0.7595722161560835669 D2(163,503) = 0.05092361375783236490 C1(163,503) = 1.275448626120832803 C2(163,503) = 1.320240578186352181 C3(163,503) = 7.976092660279210960 C4(163,503) = 4024 Sum = 4522.375209770816229 Averaged sum = 0.4518308731912095343 logp*logq = 31.68613242808211845 -------------- ************************************* p = 163; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61283596902131.15219 -------------- Searches starting with [163,509]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(163,509) = 0.7679261303207604571 D2(163,509) = 0.04629670747308245822 C1(163,509) = 1.037109921564487893 C2(163,509) = 2.005139569020168176 C3(163,509) = 5.410977831916921519 C4(163,509) = 4072 Sum = 4710.182056590658482 Averaged sum = 0.4705946704556557580 logp*logq = 31.74653333582193284 -------------- ************************************* p = 163; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69006928696662.22044 -------------- Searches starting with [163,521]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(163,521) = 0.7106791625079565942 D2(163,521) = 0.1192751659323276118 C1(163,521) = 0.9830099055022788657 C2(163,521) = 1.842727769296562855 C3(163,521) = 4.954787198273747103 C4(163,521) = 4168 Sum = 4500.451022456655043 Averaged sum = 0.4496404258623893538 logp*logq = 31.86522803137812459 -------------- ************************************* p = 163; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70366916991763.00427 -------------- Searches starting with [163,523]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(163,523) = 0.6478188895135949275 D2(163,523) = 0.1281993834922736601 C1(163,523) = 0.8758561251667826385 C2(163,523) = 1.852314150576193901 C3(163,523) = 4.161627939346937095 C4(163,523) = 4184 Sum = 4330.681038883618423 Averaged sum = 0.4326786930646036990 logp*logq = 31.88474433954698839 -------------- ************************************* p = 163; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83603434305554.26253 -------------- Searches starting with [163,541]-exponents: u = 21, v = 4 n_start has 58 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(163,541) = 0.8419720816595034006 D2(163,541) = 0.03837893857794538303 C1(163,541) = 1.292204473995487465 C2(163,541) = 1.875786473967878990 C3(163,541) = 8.196665379747869150 C4(163,541) = 4328 Sum = 3475.469539361181813 Averaged sum = 0.3472344429374744542 logp*logq = 32.05710571538541465 -------------- ************************************* p = 163; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88434860139947.07865 -------------- Searches starting with [163,547]-exponents: u = 21, v = 4 n_start has 58 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(163,547) = 0.6465252584678283435 D2(163,547) = 0.1133950840186438631 C1(163,547) = 0.8563114601297481799 C2(163,547) = 1.862210408252578196 C3(163,547) = 4.031293670099547399 C4(163,547) = 4376 Sum = 4339.852502277874751 Averaged sum = 0.4335950147145443852 logp*logq = 32.11328735331291908 -------------- ************************************* p = 163; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96984080314484.24203 -------------- Searches starting with [163,557]-exponents: u = 31, v = 4 n_start has 80 digits starting right neighbors generation We generated 304 left neighbors We generated 9706 right neighbors We generated 10009 non-negative rho_i D1(163,557) = 0.7428680064670928071 D2(163,557) = 0.07931069068751931996 C1(163,557) = 1.080368025433743706 C2(163,557) = 1.764519079042012523 C3(163,557) = 5.805783843762857299 C4(163,557) = 4456 Sum = 4175.338184229378947 Averaged sum = 0.4171583758846417171 logp*logq = 32.20556796049345846 -------------- ************************************* p = 163; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102424225489705.6045 -------------- Searches starting with [163,563]-exponents: u = 46, v = 4 n_start has 113 digits starting right neighbors generation We generated 731 left neighbors We generated 9279 right neighbors We generated 10009 non-negative rho_i D1(163,563) = 0.7261771585607459438 D2(163,563) = 0.05510659556642876173 C1(163,563) = 1.034962104242684745 C2(163,563) = 1.689786466802114038 C3(163,563) = 5.392090428874143117 C4(163,563) = 4504 Sum = 3248.699652008544820 Averaged sum = 0.3245778451402282765 logp*logq = 32.26014437760192497 -------------- ************************************* p = 163; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108106961285946.3406 -------------- Searches starting with [163,569]-exponents: u = 66, v = 4 n_start has 158 digits starting right neighbors generation We generated 1597 left neighbors We generated 8413 right neighbors We generated 10009 non-negative rho_i D1(163,569) = 0.6215979935742144309 D2(163,569) = 0.0009065340627034438504 C1(163,569) = 0.8272848551608052408 C2(163,569) = 1.594786465801983634 C3(163,569) = 3.845223025627661070 C4(163,569) = 4552 Sum = 4213.500390723194650 Averaged sum = 0.4209711650237980468 logp*logq = 32.31414223522508874 -------------- ************************************* p = 163; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110056508261433.5845 -------------- Searches starting with [163,571]-exponents: u = 76, v = 4 n_start has 180 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(163,571) = 0.7141176725958381035 D2(163,571) = 0.02754288462538331184 C1(163,571) = 0.9786792602894226522 C2(163,571) = 1.555670698552629821 C3(163,571) = 4.919977058052103540 C4(163,571) = 4568 Sum = 4782.607272015441888 Averaged sum = 0.4778306795899132669 logp*logq = 32.33201506128397851 -------------- ************************************* p = 163; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116075310139909.0525 -------------- Searches starting with [163,577]-exponents: u = 166, v = 4 n_start has 379 digits --- performed 5000 steps in the continued fraction search [163,577]-exponents: u = 33, v = 76 --- starting right neighbors generation We generated 8977 left neighbors We generated 1033 right neighbors We generated 10009 non-negative rho_i D1(163,577) = 0.7347005278029830550 D2(163,577) = 0.009010945769458964724 C1(163,577) = 0.9673304579813939801 C2(163,577) = 1.389055644622553900 C3(163,577) = 4.829910099859271315 C4(163,577) = 4616 Sum = 4908.234355543501498 Averaged sum = 0.4903820916718454888 logp*logq = 32.38526032172335311 -------------- ************************************* p = 163; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126692493613761.4483 -------------- Searches starting with [163,587]-exponents: u = 5, v = 159 n_start has 452 digits --- performed 5000 steps in the continued fraction search [163,587]-exponents: u = 37, v = 106 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,587) = 0.5310353343947537327 D2(163,587) = 0.06744482368784670725 C1(163,587) = 0.7088183746547708952 C2(163,587) = 1.366490384409874350 C3(163,587) = 3.170744684577680847 C4(163,587) = 4696 Sum = 5016.852656664462358 Averaged sum = 0.5017354392103672726 logp*logq = 32.47278395614746015 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,587) = 0.5310353343947537327 D2(163,587) = 0.06744482368784670725 C1(163,587) = 0.7088183746547708952 C2(163,587) = 1.366490384409874350 C3(163,587) = 3.170744684577680847 C4(163,587) = 4696 Sum = 5016.852656664462358 Averaged sum = 0.5017354392103672726 logp*logq = 32.47278395614746015 -------------- ************************************* p = 163; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 133428284154871.5093 -------------- Searches starting with [163,593]-exponents: u = 5, v = 67 n_start has 197 digits starting right neighbors generation We generated 2327 left neighbors We generated 7683 right neighbors We generated 10009 non-negative rho_i D1(163,593) = 0.8646776749318726790 D2(163,593) = 0.01839678298205662132 C1(163,593) = 1.178293556480338957 C2(163,593) = 1.537479769710609843 C3(163,593) = 6.809228358281054846 C4(163,593) = 4744 Sum = 5051.014144884341695 Averaged sum = 0.5046472319796524822 logp*logq = 32.52458525208487816 -------------- ************************************* p = 163; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140448929793833.8193 -------------- Searches starting with [163,599]-exponents: u = 5, v = 43 n_start has 131 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(163,599) = 0.6121618870529395786 D2(163,599) = 0.02589202378688441375 C1(163,599) = 0.8229793144223761265 C2(163,599) = 1.646528150802931823 C3(163,599) = 3.818364246875866110 C4(163,599) = 4792 Sum = 4487.857646387554719 Averaged sum = 0.4483822206401793105 logp*logq = 32.57586504961234592 -------------- ************************************* p = 163; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 142853998150966.0479 -------------- Searches starting with [163,601]-exponents: u = 5, v = 39 n_start has 120 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(163,601) = 0.5862735306688736421 D2(163,601) = 0.006526030643886901502 C1(163,601) = 0.7762594644424849599 C2(163,601) = 1.674675935526792707 C3(163,601) = 3.538707465307005589 C4(163,601) = 4808 Sum = 4308.359720293902391 Averaged sum = 0.4304485683179041254 logp*logq = 32.59284423266984590 -------------- ************************************* p = 163; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150268500969414.6150 -------------- Searches starting with [163,607]-exponents: u = 5, v = 27 n_start has 87 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(163,607) = 0.9085284588716793313 D2(163,607) = 0.01655634625156037100 C1(163,607) = 1.312260537071633907 C2(163,607) = 1.745036026027374426 C3(163,607) = 8.468716554560528786 C4(163,607) = 4856 Sum = 4791.013598792744402 Averaged sum = 0.4786705563785337598 logp*logq = 32.64344481633523713 -------------- ************************************* p = 163; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 157989182476991.3372 -------------- Searches starting with [163,613]-exponents: u = 5, v = 23 n_start has 76 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(163,613) = 0.7655620336020466189 D2(163,613) = 0.08512442347016595186 C1(163,613) = 1.066384007591077282 C2(163,613) = 1.815147866678453098 C3(163,613) = 5.675101527770695601 C4(163,613) = 4904 Sum = 4327.789706884206492 Averaged sum = 0.4323898198505551495 logp*logq = 32.69354768127615908 -------------- ************************************* p = 163; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 163311066361932.1068 -------------- Searches starting with [163,617]-exponents: u = 5, v = 19 n_start has 65 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(163,617) = 0.6342782120058905234 D2(163,617) = 0.02370927347067765472 C1(163,617) = 0.8535401937935889553 C2(163,617) = 1.831823692265784555 C3(163,617) = 4.013146805381565251 C4(163,617) = 4936 Sum = 4269.855808711731647 Averaged sum = 0.4266016393957170194 logp*logq = 32.72667788067521629 -------------- ************************************* p = 163; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166025502755813.9722 -------------- Searches starting with [163,619]-exponents: u = 5, v = 19 n_start has 65 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(163,619) = 0.7941126052708137901 D2(163,619) = 0.04006783251308832829 C1(163,619) = 1.119737706664805945 C2(163,619) = 1.848712425285627121 C3(163,619) = 6.190086375329771097 C4(163,619) = 4952 Sum = 4188.442247728254486 Averaged sum = 0.4184676039292890884 logp*logq = 32.74316252354416915 -------------- ************************************* p = 163; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 183083881386195.8774 -------------- Searches starting with [163,631]-exponents: u = 5, v = 15 n_start has 54 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(163,631) = 0.8067825947848781683 D2(163,631) = 0.1558929863816452548 C1(163,631) = 1.059443072021624630 C2(163,631) = 1.967682519081391114 C3(163,631) = 5.611334168411963398 C4(163,631) = 5048 Sum = 4003.249430623352250 Averaged sum = 0.3999649745852085373 logp*logq = 32.84096553198192056 -------------- ************************************* p = 163; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 198350660728910.3255 -------------- Searches starting with [163,641]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(163,641) = 1.117485575273880489 D2(163,641) = 0.04282001678865757741 C1(163,641) = 1.498831897482273288 C2(163,641) = 1.965624828892230391 C3(163,641) = 11.47441550765656826 C4(163,641) = 5128 Sum = 4734.227392430720111 Averaged sum = 0.4729970419053571896 logp*logq = 32.92105759400968313 -------------- ************************************* p = 163; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 201523272622312.6757 -------------- Searches starting with [163,643]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(163,643) = 0.8209688258832825576 D2(163,643) = 0.05380767896741609366 C1(163,643) = 1.063922260569527381 C2(163,643) = 1.977155071543596281 C3(163,643) = 5.652402602313808984 C4(163,643) = 5144 Sum = 3648.356572786877554 Averaged sum = 0.3645076004382932914 logp*logq = 32.93692598753096061 -------------- ************************************* p = 163; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 207990856869359.8625 -------------- Searches starting with [163,647]-exponents: u = 5, v = 11 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(163,647) = 0.5864197279477256238 D2(163,647) = 0.07661939073973844892 C1(163,647) = 0.7903225402652309873 C2(163,647) = 2.001046806205932494 C3(163,647) = 3.620660351508036751 C4(163,647) = 5176 Sum = 4383.928717207082370 Averaged sum = 0.4379986729150846608 logp*logq = 32.96851523730486636 -------------- ************************************* p = 163; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 218004060304968.5917 -------------- Searches starting with [163,653]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(163,653) = 0.9800835159336210764 D2(163,653) = 0.07062974214224625512 C1(163,653) = 1.584738255634887930 C2(163,653) = 1.181394825506729859 C3(163,653) = 13.19682936668402883 C4(163,653) = 5224 Sum = 3463.676040130624592 Averaged sum = 0.3460561534749350177 logp*logq = 33.01553480379633887 -------------- ************************************* p = 163; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 228401076575740.3875 -------------- Searches starting with [163,659]-exponents: u = 14, v = 7 n_start has 51 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(163,659) = 0.6628877568542556379 D2(163,659) = 0.09616665451516220882 C1(163,659) = 0.9098733735050425415 C2(163,659) = 1.937030624770292733 C3(163,659) = 4.398602590054103996 C4(163,659) = 5272 Sum = 4498.333769603695255 Averaged sum = 0.4494288909585068693 logp*logq = 33.06212430725332432 -------------- ************************************* p = 163; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 231953938221537.4135 -------------- Searches starting with [163,661]-exponents: u = 14, v = 7 n_start has 51 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(163,661) = 0.6213874029398537063 D2(163,661) = 0.08954804740707202953 C1(163,661) = 0.8786873208293234806 C2(163,661) = 1.930994544718850405 C3(163,661) = 4.180854102591141940 C4(163,661) = 5288 Sum = 3952.606546046984298 Averaged sum = 0.3949052398887985111 logp*logq = 33.07755992573421099 -------------- ************************************* p = 163; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 254215660675841.0350 -------------- Searches starting with [163,673]-exponents: u = 23, v = 7 n_start has 71 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(163,673) = 0.6578956598705326196 D2(163,673) = 0.04879472177859090402 C1(163,673) = 0.8800950381069047519 C2(163,673) = 1.761405110463648589 C3(163,673) = 4.190446704644430536 C4(163,673) = 5384 Sum = 4353.114183306884963 Averaged sum = 0.4349199903393830515 logp*logq = 33.16920408048032904 -------------- ************************************* p = 163; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 262006218774729.7239 -------------- Searches starting with [163,677]-exponents: u = 23, v = 7 n_start has 71 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(163,677) = 0.6786720385355428387 D2(163,677) = 0.03818837806872469676 C1(163,677) = 0.9098635342451961052 C2(163,677) = 1.751805691863935355 C3(163,677) = 4.398532131795932995 C4(163,677) = 5416 Sum = 4375.122348125345274 Averaged sum = 0.4371188278674538190 logp*logq = 33.19938935518936702 -------------- ************************************* p = 163; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 274050771200350.4988 -------------- Searches starting with [163,683]-exponents: u = 41, v = 7 n_start has 111 digits starting right neighbors generation We generated 618 left neighbors We generated 9392 right neighbors We generated 10009 non-negative rho_i D1(163,683) = 1.029710483901732800 D2(163,683) = 0.02097181560272558603 C1(163,683) = 1.481131218731027859 C2(163,683) = 1.588329240924518924 C3(163,683) = 11.14847658817281446 C4(163,683) = 5464 Sum = 3618.441218778517512 Averaged sum = 0.3615187549983532333 logp*logq = 33.24433450150301403 -------------- ************************************* p = 163; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 290798307150922.6908 -------------- Searches starting with [163,691]-exponents: u = 77, v = 7 n_start has 191 digits starting right neighbors generation We generated 1324 left neighbors We generated 8686 right neighbors We generated 10009 non-negative rho_i D1(163,691) = 0.8117255936817437210 D2(163,691) = 0.003099734189688835407 C1(163,691) = 1.108403346544453430 C2(163,691) = 1.426550255112895411 C3(163,691) = 6.076911195476985424 C4(163,691) = 5528 Sum = 4889.397905120599928 Averaged sum = 0.4885001403857128512 logp*logq = 33.30365104021925823 -------------- ************************************* p = 163; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 312879223743971.6041 -------------- Searches starting with [163,701]-exponents: u = 9, v = 213 n_start has 627 digits --- performed 5000 steps in the continued fraction search [163,701]-exponents: u = 202, v = 44 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,701) = 0.7857391818909952300 D2(163,701) = 0.2607453065487360566 C1(163,701) = 1.013632645295180770 C2(163,701) = 1.478136594890123712 C3(163,701) = 5.208065488514999553 C4(163,701) = 5608 Sum = 5152.837442031477141 Averaged sum = 0.5153352777309208062 logp*logq = 33.37683836537033724 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,701) = 0.7857391818909952300 D2(163,701) = 0.2607453065487360566 C1(163,701) = 1.013632645295180770 C2(163,701) = 1.478136594890123712 C3(163,701) = 5.208065488514999553 C4(163,701) = 5608 Sum = 5152.837442031477141 Averaged sum = 0.5153352777309208062 logp*logq = 33.37683836537033724 -------------- ************************************* p = 163; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 331497175892302.1105 -------------- Searches starting with [163,709]-exponents: u = 9, v = 45 n_start has 149 digits starting right neighbors generation We generated 937 left neighbors We generated 9073 right neighbors We generated 10009 non-negative rho_i D1(163,709) = 0.5707510887322324106 D2(163,709) = 0.003367933420879130397 C1(163,709) = 0.7631989077281746576 C2(163,709) = 1.494571173154329008 C3(163,709) = 3.464259024712463598 C4(163,709) = 5672 Sum = 4396.405664000796343 Averaged sum = 0.4392452456789685626 logp*logq = 33.43464040633960116 -------------- ************************************* p = 163; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 356010952504932.0911 -------------- Searches starting with [163,719]-exponents: u = 9, v = 24 n_start has 89 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(163,719) = 0.6445057660534859642 D2(163,719) = 0.02022289225083128169 C1(163,719) = 0.9500798128569152764 C2(163,719) = 1.667472914907400499 C3(163,719) = 4.696152502762654696 C4(163,719) = 5752 Sum = 4037.230472339225171 Averaged sum = 0.4033600232130307893 logp*logq = 33.50598261177062390 -------------- ************************************* p = 163; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 376653042529634.3224 -------------- Searches starting with [163,727]-exponents: u = 9, v = 17 n_start has 69 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(163,727) = 0.6263027370809434825 D2(163,727) = 0.03566993445099231691 C1(163,727) = 0.9562170965552179782 C2(163,727) = 1.775299696854662499 C3(163,727) = 4.743309708998442361 C4(163,727) = 5816 Sum = 4097.174958353617051 Averaged sum = 0.4093490816618660257 logp*logq = 33.56234556803735748 -------------- ************************************* p = 163; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 392757010914128.7840 -------------- Searches starting with [163,733]-exponents: u = 9, v = 10 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(163,733) = 0.6538231055408381155 D2(163,733) = 0.05051011566077373589 C1(163,733) = 0.8974313201032334101 C2(163,733) = 1.934098952361497471 C3(163,733) = 4.310401503261698960 C4(163,733) = 5864 Sum = 4410.810456765767250 Averaged sum = 0.4406844296898558548 logp*logq = 33.60421224373660008 -------------- ************************************* p = 163; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 409409752868617.2947 -------------- Searches starting with [163,739]-exponents: u = 9, v = 10 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(163,739) = 0.6131049466205083090 D2(163,739) = 0.06270033805197645855 C1(163,739) = 0.8223293498284149749 C2(163,739) = 1.947759163587227030 C3(163,739) = 3.814325975270357315 C4(163,739) = 5912 Sum = 4310.294218151566574 Averaged sum = 0.4306418441554167823 logp*logq = 33.64573761121839255 -------------- ************************************* p = 163; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 420823366789702.5186 -------------- Searches starting with [163,743]-exponents: u = 9, v = 10 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(163,743) = 0.7186346946994285481 D2(163,743) = 0.07099074436702840353 C1(163,743) = 1.003236539618449170 C2(163,743) = 1.957022810382932835 C3(163,743) = 5.120660682778581585 C4(163,743) = 5944 Sum = 4478.235686551349724 Averaged sum = 0.4474208898542661329 logp*logq = 33.67323430525355526 -------------- ************************************* p = 163; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 444417862840374.2535 -------------- Searches starting with [163,751]-exponents: u = 9, v = 10 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(163,751) = 1.278037800658439802 D2(163,751) = 0.05198746006050703455 C1(163,751) = 2.089251241876851003 C2(163,751) = 1.135808306979423772 C3(163,751) = 30.00400810587963071 C4(163,751) = 6008 Sum = 3479.375754152748141 Averaged sum = 0.3476247131734187372 logp*logq = 33.72778636829659239 -------------- ************************************* p = 163; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 462801986420495.6341 -------------- Searches starting with [163,757]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(163,757) = 0.6091624142237367626 D2(163,757) = 0.06558329956864396746 C1(163,757) = 0.9958075311319030094 C2(163,757) = 2.086545328198650860 C3(163,757) = 5.059101700545781548 C4(163,757) = 6056 Sum = 4356.990923080233737 Averaged sum = 0.4353073157238718890 logp*logq = 33.76832040341797596 -------------- ************************************* p = 163; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 475393975784850.4958 -------------- Searches starting with [163,761]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(163,761) = 0.6908710534461225999 D2(163,761) = 0.04613067523637212463 C1(163,761) = 0.9138843338875194752 C2(163,761) = 2.068249193829083650 C3(163,761) = 4.427419011343332497 C4(163,761) = 6088 Sum = 4175.564624307395821 Averaged sum = 0.4171809995311615367 logp*logq = 33.79516499888720610 -------------- ************************************* p = 163; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 501404090761709.5714 -------------- Searches starting with [163,769]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(163,769) = 0.7343593438119327181 D2(163,769) = 0.009974411641263275940 C1(163,769) = 1.085867182491580548 C2(163,769) = 2.034387587495521979 C3(163,769) = 5.857994688170837428 C4(163,769) = 6152 Sum = 3657.555449570540073 Averaged sum = 0.3654266609621880380 logp*logq = 33.84843346029857700 -------------- ************************************* p = 163; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 514831222286287.4636 -------------- Searches starting with [163,773]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(163,773) = 1.017580227314365177 D2(163,773) = 0.1289483421464493993 C1(163,773) = 1.447858588283298316 C2(163,773) = 1.893151392911935362 C3(163,773) = 10.56064694671728360 C4(163,773) = 6184 Sum = 4261.762435926577112 Averaged sum = 0.4257930298657785105 logp*logq = 33.87486023916318498 -------------- ************************************* p = 163; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 564120490022421.8841 -------------- Searches starting with [163,787]-exponents: u = 17, v = 3 n_start has 47 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(163,787) = 1.011847205473738653 D2(163,787) = 0.1160292450796526599 C1(163,787) = 1.397030830277710336 C2(163,787) = 2.037684338885737448 C3(163,787) = 9.721950057237200276 C4(163,787) = 6296 Sum = 5309.389246820136177 Averaged sum = 0.5304615093236223576 logp*logq = 33.96628897940147276 -------------- ************************************* p = 163; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 601594569432011.8718 -------------- Searches starting with [163,797]-exponents: u = 17, v = 3 n_start has 47 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(163,797) = 0.6619827476916026453 D2(163,797) = 0.04802551036715283351 C1(163,797) = 0.8692964838613069637 C2(163,797) = 1.972341782972914414 C3(163,797) = 4.117421587625746457 C4(163,797) = 6376 Sum = 3993.854920511816729 Averaged sum = 0.3990263683196939484 logp*logq = 34.03060486164845553 -------------- ************************************* p = 163; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 649177360686964.0227 -------------- Searches starting with [163,809]-exponents: u = 21, v = 3 n_start has 56 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(163,809) = 0.9090599200049500183 D2(163,809) = 0.1180864815250899212 C1(163,809) = 1.199604862497373224 C2(163,809) = 1.966576590348318059 C3(163,809) = 7.049621415093426833 C4(163,809) = 6472 Sum = 4135.057773426322108 Averaged sum = 0.4131339567815288348 logp*logq = 34.10672707832839382 -------------- ************************************* p = 163; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 657393734054131.2284 -------------- Searches starting with [163,811]-exponents: u = 21, v = 3 n_start has 56 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(163,811) = 0.5844660634502384133 D2(163,811) = 0.09997896093111671635 C1(163,811) = 0.7929362257033321140 C2(163,811) = 1.948972503312816550 C3(163,811) = 3.636099510670872317 C4(163,811) = 6488 Sum = 4358.699608645188012 Averaged sum = 0.4354780306369455502 logp*logq = 34.11930424570790576 -------------- ************************************* p = 163; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 699738938416769.2878 -------------- Searches starting with [163,821]-exponents: u = 25, v = 3 n_start has 65 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(163,821) = 0.6600331999251475663 D2(163,821) = 0.02166262226892230513 C1(163,821) = 0.9032087611773801857 C2(163,821) = 1.873154729989058993 C3(163,821) = 4.351135358016716490 C4(163,821) = 6568 Sum = 4429.956621154417694 Averaged sum = 0.4425973245233707357 logp*logq = 34.18172843629172543 -------------- ************************************* p = 163; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 708465156930620.1050 -------------- Searches starting with [163,823]-exponents: u = 25, v = 3 n_start has 65 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(163,823) = 1.336098077248352552 D2(163,823) = 0.007854067321438163500 C1(163,823) = 1.747029791555047192 C2(163,823) = 1.859842210077384996 C3(163,823) = 17.18762328879987269 C4(163,823) = 6584 Sum = 4222.868049883119956 Averaged sum = 0.4219070886085642878 logp*logq = 34.19412199520582470 -------------- ************************************* p = 163; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 726179985730870.1596 -------------- Searches starting with [163,827]-exponents: u = 29, v = 3 n_start has 73 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(163,827) = 0.9605762385260913625 D2(163,827) = 0.07988837263232672440 C1(163,827) = 1.307258270803322276 C2(163,827) = 1.871463956447924637 C3(163,827) = 8.400029414679870871 C4(163,827) = 6616 Sum = 4634.559330501679025 Averaged sum = 0.4630391977721729469 logp*logq = 34.21881901425753844 -------------- ************************************* p = 163; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 735169914552415.5993 -------------- Searches starting with [163,829]-exponents: u = 29, v = 3 n_start has 73 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(163,829) = 0.6536423528489805798 D2(163,829) = 0.06089751999796608737 C1(163,829) = 0.8641033301137635520 C2(163,829) = 1.852952023211613112 C3(163,829) = 4.082757469278851392 C4(163,829) = 6632 Sum = 4146.069557315032289 Averaged sum = 0.4142341450010023268 logp*logq = 34.23112276468606030 -------------- ************************************* p = 163; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 781471375859985.6483 -------------- Searches starting with [163,839]-exponents: u = 37, v = 3 n_start has 91 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(163,839) = 0.6471407181296990351 D2(163,839) = 0.05299629274299115552 C1(163,839) = 0.9389098452428350669 C2(163,839) = 1.797729677863714808 C3(163,839) = 4.611525390597615677 C4(163,839) = 6712 Sum = 3861.067665059590594 Averaged sum = 0.3857595828813658302 logp*logq = 34.29219963794076678 -------------- ************************************* p = 163; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 850202183638678.5084 -------------- Searches starting with [163,853]-exponents: u = 49, v = 3 n_start has 118 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(163,853) = 0.7122521374274568616 D2(163,853) = 0.02665015993936894683 C1(163,853) = 1.004315441688565073 C2(163,853) = 1.697848789130686037 C3(163,853) = 5.129662863312327630 C4(163,853) = 6824 Sum = 4510.779810766507185 Averaged sum = 0.4506723759383062428 logp*logq = 34.37649530023229501 -------------- ************************************* p = 163; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 870706227469214.7431 -------------- Searches starting with [163,857]-exponents: u = 57, v = 3 n_start has 135 digits starting right neighbors generation We generated 856 left neighbors We generated 9154 right neighbors We generated 10009 non-negative rho_i D1(163,857) = 0.7853447091239285942 D2(163,857) = 0.02525503811407080167 C1(163,857) = 1.053347200796998839 C2(163,857) = 1.666724542665572418 C3(163,857) = 5.555921773717244717 C4(163,857) = 6856 Sum = 4475.722104287874363 Averaged sum = 0.4471697576469052216 logp*logq = 34.40032575399344386 -------------- ************************************* p = 163; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 881106220729070.2874 -------------- Searches starting with [163,859]-exponents: u = 61, v = 3 n_start has 144 digits starting right neighbors generation We generated 1049 left neighbors We generated 8961 right neighbors We generated 10009 non-negative rho_i D1(163,859) = 0.6540405699387114623 D2(163,859) = 0.0001393265243117785987 C1(163,859) = 0.8742081309084687803 C2(163,859) = 1.642035468655006791 C3(163,859) = 4.150477430070846223 C4(163,859) = 6872 Sum = 4264.581584375144499 Averaged sum = 0.4260746912154205714 logp*logq = 34.41219930296138510 -------------- ************************************* p = 163; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 902205728393052.6549 -------------- Searches starting with [163,863]-exponents: u = 69, v = 3 n_start has 162 digits starting right neighbors generation We generated 1207 left neighbors We generated 8803 right neighbors We generated 10009 non-negative rho_i D1(163,863) = 0.6513232165789826166 D2(163,863) = 0.02145872917775082269 C1(163,863) = 0.8984709821662099741 C2(163,863) = 1.613353559888698913 C3(163,863) = 4.317703400886281685 C4(163,863) = 6904 Sum = 4587.241729959963814 Averaged sum = 0.4583116924727708876 logp*logq = 34.43586369024319725 -------------- ************************************* p = 163; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 979275230397460.5635 -------------- Searches starting with [163,877]-exponents: u = 149, v = 3 n_start has 339 digits --- performed 5000 steps in the continued fraction search [163,877]-exponents: u = 77, v = 16 --- starting right neighbors generation We generated 5757 left neighbors We generated 4253 right neighbors We generated 10009 non-negative rho_i D1(163,877) = 1.906589741096306885 D2(163,877) = 0.003563153906194153593 C1(163,877) = 2.526891248011414610 C2(163,877) = 1.436955723935038601 C3(163,877) = 61.17968444442226069 C4(163,877) = 7016 Sum = 4785.169263034913545 Averaged sum = 0.4780866483200033515 logp*logq = 34.51783385316423643 -------------- ************************************* p = 163; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1002239753392628.699 -------------- Searches starting with [163,881]-exponents: u = 213, v = 3 n_start has 481 digits --- performed 5000 steps in the continued fraction search [163,881]-exponents: u = 22, v = 121 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,881) = 1.109928161146126913 D2(163,881) = 0.03868866012428475626 C1(163,881) = 1.446969848860834797 C2(163,881) = 1.377911825574016266 C3(163,881) = 10.54537800118395254 C4(163,881) = 7048 Sum = 4964.186096364117348 Averaged sum = 0.4964682564620579405 logp*logq = 34.54101364379464144 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,881) = 1.109928161146126913 D2(163,881) = 0.03868866012428475626 C1(163,881) = 1.446969848860834797 C2(163,881) = 1.377911825574016266 C3(163,881) = 10.54537800118395254 C4(163,881) = 7048 Sum = 4964.186096364117348 Averaged sum = 0.4964682564620579405 logp*logq = 34.54101364379464144 -------------- ************************************* p = 163; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1013883196599047.673 -------------- Searches starting with [163,883]-exponents: u = 269, v = 3 n_start has 604 digits --- performed 5000 steps in the continued fraction search [163,883]-exponents: u = 239, v = 6 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,883) = 0.6015906790872358503 D2(163,883) = 0.1294070724457763085 C1(163,883) = 0.7766485479146896227 C2(163,883) = 1.389454785210586221 C3(163,883) = 3.540949711142145841 C4(163,883) = 7064 Sum = 5110.598463326224632 Averaged sum = 0.5111109574283652997 logp*logq = 34.55256410271399271 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,883) = 0.6015906790872358503 D2(163,883) = 0.1294070724457763085 C1(163,883) = 0.7766485479146896227 C2(163,883) = 1.389454785210586221 C3(163,883) = 3.540949711142145841 C4(163,883) = 7064 Sum = 5110.598463326224632 Averaged sum = 0.5111109574283652997 logp*logq = 34.55256410271399271 -------------- ************************************* p = 163; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1037496237669934.588 -------------- Searches starting with [163,887]-exponents: u = 589, v = 3 n_start has 1312 digits --- performed 5000 steps in the continued fraction search [163,887]-exponents: u = 439, v = 107 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,887) = 0.5932807954307348286 D2(163,887) = 0.3159567786870529916 C1(163,887) = 0.7447083754124942654 C2(163,887) = 1.427867754307936039 C3(163,887) = 3.361528940784738004 C4(163,887) = 7096 Sum = 5573.173476749157235 Averaged sum = 0.5573730849834140648 logp*logq = 34.57558674168459466 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(163,887) = 0.5932807954307348286 D2(163,887) = 0.3159567786870529916 C1(163,887) = 0.7447083754124942654 C2(163,887) = 1.427867754307936039 C3(163,887) = 3.361528940784738004 C4(163,887) = 7096 Sum = 5573.173476749157235 Averaged sum = 0.5573730849834140648 logp*logq = 34.57558674168459466 -------------- ************************************* p = 163; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1162285212405042.959 -------------- Searches starting with [163,907]-exponents: u = 4, v = 89 n_start has 273 digits starting right neighbors generation We generated 3503 left neighbors We generated 6507 right neighbors We generated 10009 non-negative rho_i D1(163,907) = 0.9785622262913004197 D2(163,907) = 0.01007804850387912474 C1(163,907) = 1.309620476935898483 C2(163,907) = 1.487534981800671494 C3(163,907) = 8.432395649207559642 C4(163,907) = 7256 Sum = 5024.374666283585956 Averaged sum = 0.5019856795167934814 logp*logq = 34.68916447279663351 -------------- ************************************* p = 163; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1188631750857710.852 -------------- Searches starting with [163,911]-exponents: u = 4, v = 74 n_start has 228 digits starting right neighbors generation We generated 2629 left neighbors We generated 7381 right neighbors We generated 10009 non-negative rho_i D1(163,911) = 0.8479426083277149902 D2(163,911) = 0.0006123538569616942635 C1(163,911) = 1.148362576530886914 C2(163,911) = 1.535302033842032019 C3(163,911) = 6.485382116478190043 C4(163,911) = 7288 Sum = 4183.741649695834736 Averaged sum = 0.4179979667994639560 logp*logq = 34.71157925132420868 -------------- ************************************* p = 163; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1242764906885528.105 -------------- Searches starting with [163,919]-exponents: u = 4, v = 53 n_start has 166 digits starting right neighbors generation We generated 1383 left neighbors We generated 8627 right neighbors We generated 10009 non-negative rho_i D1(163,919) = 0.6452816978512543514 D2(163,919) = 0.002565813884742936898 C1(163,919) = 0.8917329788467271762 C2(163,919) = 1.618161336802035615 C3(163,919) = 4.270598898737377113 C4(163,919) = 7352 Sum = 3664.336871819982427 Averaged sum = 0.3661041934079311047 logp*logq = 34.75611505591127562 -------------- ************************************* p = 163; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1313199289706403.279 -------------- Searches starting with [163,929]-exponents: u = 4, v = 38 n_start has 122 digits starting right neighbors generation We generated 643 left neighbors We generated 9367 right neighbors We generated 10009 non-negative rho_i D1(163,929) = 1.075664317381387567 D2(163,929) = 0.03906576466349801556 C1(163,929) = 1.420292910873574679 C2(163,929) = 1.711100428618054252 C3(163,929) = 10.09719055469510102 C4(163,929) = 7432 Sum = 4293.873250510186616 Averaged sum = 0.4290012239494641438 logp*logq = 34.81124276066823923 -------------- ************************************* p = 163; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1371826341508860.110 -------------- Searches starting with [163,937]-exponents: u = 4, v = 32 n_start has 104 digits starting right neighbors generation We generated 533 left neighbors We generated 9477 right neighbors We generated 10009 non-negative rho_i D1(163,937) = 0.6190990182560162644 D2(163,937) = 0.006136031205936922243 C1(163,937) = 0.8430867314819346608 C2(163,937) = 1.751839693801293327 C3(163,937) = 3.945427393880411540 C4(163,937) = 7496 Sum = 4228.848760160669224 Averaged sum = 0.4225046218563961659 logp*logq = 34.85491934295903861 -------------- ************************************* p = 163; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1401918418104406.811 -------------- Searches starting with [163,941]-exponents: u = 4, v = 29 n_start has 96 digits starting right neighbors generation We generated 395 left neighbors We generated 9615 right neighbors We generated 10009 non-negative rho_i D1(163,941) = 0.6161577066192716705 D2(163,941) = 0.04163378074507245852 C1(163,941) = 0.8437934138545849518 C2(163,941) = 1.787977868646864193 C3(163,941) = 3.949969176969062133 C4(163,941) = 7528 Sum = 4321.916426429524914 Averaged sum = 0.4318030199250199734 logp*logq = 34.87661799217551126 -------------- ************************************* p = 163; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1448049150632907.223 -------------- Searches starting with [163,947]-exponents: u = 4, v = 26 n_start has 87 digits starting right neighbors generation We generated 352 left neighbors We generated 9658 right neighbors We generated 10009 non-negative rho_i D1(163,947) = 0.8601106100551630820 D2(163,947) = 0.01764703317987762342 C1(163,947) = 1.185449007406204562 C2(163,947) = 1.811321647970848291 C3(163,947) = 6.889014079321897908 C4(163,947) = 7576 Sum = 4694.895087713116434 Averaged sum = 0.4690673481579694708 logp*logq = 34.90899363210538826 -------------- ************************************* p = 163; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1495392027223310.159 -------------- Searches starting with [163,953]-exponents: u = 4, v = 23 n_start has 78 digits starting right neighbors generation We generated 238 left neighbors We generated 9772 right neighbors We generated 10009 non-negative rho_i D1(163,953) = 0.9695823768294727328 D2(163,953) = 0.06572329494569205293 C1(163,953) = 1.311608983726719505 C2(163,953) = 1.860369014801147472 C3(163,953) = 8.459738226184930269 C4(163,953) = 7624 Sum = 4834.901004627551347 Averaged sum = 0.4830553506471726793 logp*logq = 34.94116479294565167 -------------- ************************************* p = 163; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1610707577677711.212 -------------- Searches starting with [163,967]-exponents: u = 4, v = 20 n_start has 69 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(163,967) = 0.6840686995708310224 D2(163,967) = 0.06793233864386019485 C1(163,967) = 0.9097611777923751071 C2(163,967) = 1.921511950945920393 C3(163,967) = 4.397799231264400887 C4(163,967) = 7736 Sum = 4115.810736242681452 Averaged sum = 0.4112109837389031324 logp*logq = 35.01544996660076149 -------------- ************************************* p = 163; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1644934283472855.120 -------------- Searches starting with [163,971]-exponents: u = 4, v = 17 n_start has 60 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(163,971) = 0.6756747440012886791 D2(163,971) = 0.09773344329552209368 C1(163,971) = 1.009431606186794669 C2(163,971) = 1.951965289677402156 C3(163,971) = 5.172567226843919570 C4(163,971) = 7768 Sum = 4095.628003680045528 Averaged sum = 0.4091945252952388379 logp*logq = 35.03647682907340464 -------------- ************************************* p = 163; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1697368093983980.787 -------------- Searches starting with [163,977]-exponents: u = 4, v = 17 n_start has 60 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(163,977) = 0.7967387686706565638 D2(163,977) = 0.007042996068911024473 C1(163,977) = 1.048442635649893207 C2(163,977) = 1.933999171954218789 C3(163,977) = 5.511736031673201584 C4(163,977) = 7816 Sum = 3986.773734726848081 Averaged sum = 0.3983188864748574364 logp*logq = 35.06785526629439951 -------------- ************************************* p = 163; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1751136830615442.475 -------------- Searches starting with [163,983]-exponents: u = 4, v = 17 n_start has 60 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(163,983) = 0.8677679993474687326 D2(163,983) = 0.03757449024477038666 C1(163,983) = 1.318350842468850646 C2(163,983) = 1.965532097951934605 C3(163,983) = 8.553102420244025388 C4(163,983) = 7864 Sum = 2825.229221280692463 Averaged sum = 0.2822688801359468941 logp*logq = 35.09904158943053755 -------------- ************************************* p = 163; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1824949197464456.570 -------------- Searches starting with [163,991]-exponents: u = 4, v = 14 n_start has 51 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(163,991) = 0.5396410153598088189 D2(163,991) = 0.08202551849635428090 C1(163,991) = 0.7276544573708078906 C2(163,991) = 2.011308766592334558 C3(163,991) = 3.269483068201676680 C4(163,991) = 7928 Sum = 4306.055048168523543 Averaged sum = 0.4302183083393469420 logp*logq = 35.14032854455190623 -------------- ************************************* p = 163; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1881932597263892.343 -------------- Searches starting with [163,997]-exponents: u = 4, v = 14 n_start has 51 digits starting right neighbors generation We generated 98 left neighbors We generated 9912 right neighbors We generated 10009 non-negative rho_i D1(163,997) = 0.9235817150592016012 D2(163,997) = 0.1190493205169589886 C1(163,997) = 1.289345828247450972 C2(163,997) = 2.049319694753004567 C3(163,997) = 8.158607413416593088 C4(163,997) = 7976 Sum = 4905.321654878218638 Averaged sum = 0.4900910835126604694 logp*logq = 35.17107562101376083 -------------- ************************************* p = 167; q = 173; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 284646670148.3104233 -------------- Searches starting with [167,173]-exponents: u = 1, v = 144 n_start has 325 digits starting right neighbors generation We generated 2729 left neighbors We generated 7281 right neighbors We generated 10009 non-negative rho_i D1(167,173) = 1.299396169924045548 D2(167,173) = 0.007083764934556182953 C1(167,173) = 1.725113032690575596 C2(167,173) = 1.123949918171563606 C3(167,173) = 16.72157693727135383 C4(167,173) = 1384 Sum = 5732.856248607906770 Averaged sum = 0.5727701317422226765 logp*logq = 26.37451449421890649 -------------- ************************************* p = 167; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 338912723003.0344816 -------------- Searches starting with [167,179]-exponents: u = 1, v = 73 n_start has 167 digits starting right neighbors generation We generated 769 left neighbors We generated 9241 right neighbors We generated 10009 non-negative rho_i D1(167,179) = 0.6832010369975451440 D2(167,179) = 0.005641582487565122454 C1(167,179) = 0.9415700292170978143 C2(167,179) = 1.257439334473273796 C3(167,179) = 4.652293211985789246 C4(167,179) = 1432 Sum = 5019.999111056623330 Averaged sum = 0.5015485174399663633 logp*logq = 26.54900845691148706 -------------- ************************************* p = 167; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 358744272912.3276677 -------------- Searches starting with [167,181]-exponents: u = 1, v = 63 n_start has 145 digits starting right neighbors generation We generated 604 left neighbors We generated 9406 right neighbors We generated 10009 non-negative rho_i D1(167,181) = 0.6792786900434316923 D2(167,181) = 0.001002323474979227714 C1(167,181) = 0.9074983978729433292 C2(167,181) = 1.287834201299208865 C3(167,181) = 4.400549321599293541 C4(167,181) = 1448 Sum = 4843.479392485867204 Averaged sum = 0.4839124180723216309 logp*logq = 26.60587563988536689 -------------- ************************************* p = 167; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 472405189150.6928272 -------------- Searches starting with [167,191]-exponents: u = 1, v = 38 n_start has 89 digits starting right neighbors generation We generated 258 left neighbors We generated 9752 right neighbors We generated 10009 non-negative rho_i D1(167,191) = 0.7869244832950365949 D2(167,191) = 0.002483399403491211332 C1(167,191) = 1.137645431468728826 C2(167,191) = 1.424690036962791332 C3(167,191) = 6.407728445878519932 C4(167,191) = 1528 Sum = 3056.628514892733153 Averaged sum = 0.3053880022872148219 logp*logq = 26.88110290586359071 -------------- ************************************* p = 167; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 498273930247.7522876 -------------- Searches starting with [167,193]-exponents: u = 1, v = 35 n_start has 83 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(167,193) = 0.6509689197261497539 D2(167,193) = 0.02461641529005407419 C1(167,193) = 0.8775315732640873632 C2(167,193) = 1.465767664513342936 C3(167,193) = 4.190418755649281482 C4(167,193) = 1544 Sum = 4642.008732615444517 Averaged sum = 0.4637834681402182552 logp*logq = 26.93441582348156832 -------------- ************************************* p = 167; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 553431594020.2375853 -------------- Searches starting with [167,197]-exponents: u = 1, v = 30 n_start has 72 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(167,197) = 1.108043618905289681 D2(167,197) = 0.01471124145847924091 C1(167,197) = 1.630060342600276268 C2(167,197) = 1.499004942032177709 C3(167,197) = 14.31777034153421370 C4(167,197) = 1576 Sum = 5631.444863428214142 Averaged sum = 0.5626381120419836288 logp*logq = 27.03940399341815388 -------------- ************************************* p = 167; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 582795004789.1339260 -------------- Searches starting with [167,199]-exponents: u = 1, v = 29 n_start has 69 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(167,199) = 0.7836774450231843192 D2(167,199) = 0.05827988007963754605 C1(167,199) = 1.038707901461598033 C2(167,199) = 1.555424260135442409 C3(167,199) = 5.451895464305663530 C4(167,199) = 1592 Sum = 4319.351947971659910 Averaged sum = 0.4315468026747587082 logp*logq = 27.09110134017570850 -------------- ************************************* p = 167; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 786435708311.9698642 -------------- Searches starting with [167,211]-exponents: u = 1, v = 21 n_start has 52 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(167,211) = 0.7544876035767192519 D2(167,211) = 0.008114123067468955380 C1(167,211) = 1.147375933993587936 C2(167,211) = 1.615965296639141760 C3(167,211) = 6.510344877663283108 C4(167,211) = 1688 Sum = 4343.958358879228516 Averaged sum = 0.4340052311798609767 logp*logq = 27.39077681206279259 -------------- ************************************* p = 167; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1043781893203.664373 -------------- Searches starting with [167,223]-exponents: u = 1, v = 17 n_start has 43 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(167,223) = 0.6323699372948578613 D2(167,223) = 0.1021023759876062864 C1(167,223) = 0.8888778587804072619 C2(167,223) = 1.780596715552822729 C3(167,223) = 4.268773120113008980 C4(167,223) = 1784 Sum = 4096.755241984387809 Averaged sum = 0.4093071477654498760 logp*logq = 27.67387166900743246 -------------- ************************************* p = 167; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1143209326924.322494 -------------- Searches starting with [167,227]-exponents: u = 1, v = 16 n_start has 40 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(167,227) = 0.9075046620290078049 D2(167,227) = 0.09056874330569791912 C1(167,227) = 1.280713516671014485 C2(167,227) = 1.796477155019706742 C3(167,227) = 8.093821882427667659 C4(167,227) = 1816 Sum = 4462.285840744064024 Averaged sum = 0.4458273394688844064 logp*logq = 27.76486062213998634 -------------- ************************************* p = 167; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1195703214896.574588 -------------- Searches starting with [167,229]-exponents: u = 1, v = 16 n_start has 40 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(167,229) = 0.6781690372491833007 D2(167,229) = 0.1634356024562311159 C1(167,229) = 0.9267572022700238072 C2(167,229) = 1.402681429308461140 C3(167,229) = 4.541123430607350446 C4(167,229) = 1832 Sum = 4671.512202268186750 Averaged sum = 0.4667311621808559047 logp*logq = 27.80975559258337193 -------------- ************************************* p = 167; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1306510654143.279378 -------------- Searches starting with [167,233]-exponents: u = 1, v = 15 n_start has 38 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(167,233) = 0.6093829896119148803 D2(167,233) = 0.1269562454420698636 C1(167,233) = 0.8650505760291775651 C2(167,233) = 1.864145908074535000 C3(167,233) = 4.105888513017035984 C4(167,233) = 1864 Sum = 4417.140398182052572 Averaged sum = 0.4413168546490211382 logp*logq = 27.89838107659505295 -------------- ************************************* p = 167; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1488078152365.676895 -------------- Searches starting with [167,239]-exponents: u = 1, v = 14 n_start has 36 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(167,239) = 0.6108680055336086414 D2(167,239) = 0.1274129112703802667 C1(167,239) = 0.8243152394860064382 C2(167,239) = 1.898850362630642879 C3(167,239) = 3.841684855839632299 C4(167,239) = 1912 Sum = 4579.429505409392775 Averaged sum = 0.4575311724857021456 logp*logq = 28.02850657271135640 -------------- ************************************* p = 167; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1552917860698.221205 -------------- Searches starting with [167,241]-exponents: u = 1, v = 13 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(167,241) = 0.9333073903143280861 D2(167,241) = 0.1174262649883510206 C1(167,241) = 1.496025664182573075 C2(167,241) = 1.136942726776702428 C3(167,241) = 11.50353807248513890 C4(167,241) = 1928 Sum = 4009.239242992317052 Averaged sum = 0.4005634172237303479 logp*logq = 28.07115676796756496 -------------- ************************************* p = 167; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1912120503235.307664 -------------- Searches starting with [167,251]-exponents: u = 1, v = 12 n_start has 32 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(167,251) = 0.6137348599429056714 D2(167,251) = 0.02870024997570668021 C1(167,251) = 0.8223287942973964807 C2(167,251) = 1.880273698210182714 C3(167,251) = 3.829244945700759141 C4(167,251) = 2008 Sum = 4476.068370785247943 Averaged sum = 0.4472043531606801821 logp*logq = 28.27923395327644332 -------------- ************************************* p = 167; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2157857758734.813857 -------------- Searches starting with [167,257]-exponents: u = 1, v = 11 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(167,257) = 0.7532782141296056242 D2(167,257) = 0.1255008992409940035 C1(167,257) = 1.018649597198551978 C2(167,257) = 1.346657800750831890 C3(167,257) = 5.276235617594204203 C4(167,257) = 2056 Sum = 4738.049193339642350 Averaged sum = 0.4733788783434551254 logp*logq = 28.40013706712352740 -------------- ************************************* p = 167; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2428390622305.121698 -------------- Searches starting with [167,263]-exponents: u = 1, v = 11 n_start has 29 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(167,263) = 0.6136402140579164480 D2(167,263) = 0.06192655740753035137 C1(167,263) = 0.8178955907502364964 C2(167,263) = 1.965134888582800958 C3(167,263) = 3.801627532284973124 C4(167,263) = 2104 Sum = 4390.945529490650578 Averaged sum = 0.4386997231981866898 logp*logq = 28.51824985851887151 -------------- ************************************* p = 167; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2725568709655.597662 -------------- Searches starting with [167,269]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(167,269) = 0.6571140726834113621 D2(167,269) = 0.1055819961214660066 C1(167,269) = 0.9357816319522355988 C2(167,269) = 1.749025957729618045 C3(167,269) = 4.608531150314724382 C4(167,269) = 2152 Sum = 4286.604349581098874 Averaged sum = 0.4282749874693874387 logp*logq = 28.63369822305982011 -------------- ************************************* p = 167; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2830882061941.989750 -------------- Searches starting with [167,271]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(167,271) = 1.203783571029297455 D2(167,271) = 0.1014099808294591474 C1(167,271) = 1.651050884882723536 C2(167,271) = 1.746220152540848185 C3(167,271) = 14.81698292598312330 C4(167,271) = 2168 Sum = 5627.012950166060066 Averaged sum = 0.5621953192292996368 logp*logq = 28.67160946168575723 -------------- ************************************* p = 167; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3166622877426.784833 -------------- Searches starting with [167,277]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(167,277) = 0.7004351550293036347 D2(167,277) = 0.06716100259655725727 C1(167,277) = 1.177576106556571064 C2(167,277) = 1.306335542480992391 C3(167,277) = 6.839414588803816270 C4(167,277) = 2216 Sum = 4658.337496518140035 Averaged sum = 0.4654148762631771441 logp*logq = 28.78368679759030817 -------------- ************************************* p = 167; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3407719141136.463118 -------------- Searches starting with [167,281]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(167,281) = 0.8621212893273323892 D2(167,281) = 0.08359266395096529468 C1(167,281) = 1.199331521367842687 C2(167,281) = 1.773375217391497924 C3(167,281) = 7.086726785915337194 C4(167,281) = 2248 Sum = 4136.394253513451430 Averaged sum = 0.4132674846151914707 logp*logq = 28.85706430986123009 -------------- ************************************* p = 167; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3533684783518.415316 -------------- Searches starting with [167,283]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(167,283) = 0.6449373148493577234 D2(167,283) = 0.07977451791207595173 C1(167,283) = 0.8702904167008237242 C2(167,283) = 1.770891771235583156 C3(167,283) = 4.141166790241376255 C4(167,283) = 2264 Sum = 4497.099582110365733 Averaged sum = 0.4493055831861690212 logp*logq = 28.89336229046545637 -------------- ************************************* p = 167; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4220979248262.505299 -------------- Searches starting with [167,293]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(167,293) = 0.7145960060418551386 D2(167,293) = 0.03952683018732461796 C1(167,293) = 1.221567172526852325 C2(167,293) = 2.072743226682670740 C3(167,293) = 7.348741732082972084 C4(167,293) = 2344 Sum = 4576.828535681231000 Averaged sum = 0.4572713093896723948 logp*logq = 29.07108826640848682 -------------- ************************************* p = 167; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5359926277956.656191 -------------- Searches starting with [167,307]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(167,307) = 0.7300181018975880810 D2(167,307) = 0.03610498658275656684 C1(167,307) = 1.039608701133414263 C2(167,307) = 1.634311671303732848 C3(167,307) = 5.459919968008254121 C4(167,307) = 2456 Sum = 3988.901359369383838 Averaged sum = 0.3985314576250758156 logp*logq = 29.30997133680410601 -------------- ************************************* p = 167; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5727066775758.067550 -------------- Searches starting with [167,311]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(167,311) = 1.021656348547407656 D2(167,311) = 0.02737216457009831080 C1(167,311) = 1.370089953465287884 C2(167,311) = 1.471754885213161000 C3(167,311) = 9.365488876454577802 C4(167,311) = 2488 Sum = 4713.018199706567766 Averaged sum = 0.4708780297438872781 logp*logq = 29.37622460908686775 -------------- ************************************* p = 167; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5918075183739.976395 -------------- Searches starting with [167,313]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(167,313) = 0.6918876522788974121 D2(167,313) = 0.02334073903949186980 C1(167,313) = 0.9635238478971386230 C2(167,313) = 1.382520364327086458 C3(167,313) = 4.822081273791089058 C4(167,313) = 2504 Sum = 4637.840248523297964 Averaged sum = 0.4633669945572282909 logp*logq = 29.40903237407392063 -------------- ************************************* p = 167; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6315472210972.901091 -------------- Searches starting with [167,317]-exponents: u = 9, v = 7 n_start has 38 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(167,317) = 1.220982283722975913 D2(167,317) = 0.01574612852458451266 C1(167,317) = 2.128296966844769322 C2(167,317) = 0.9871952915125695997 C3(167,317) = 32.29794279106650586 C4(167,317) = 2536 Sum = 3412.004957737368801 Averaged sum = 0.3408936914514305926 logp*logq = 29.47402364501979716 -------------- ************************************* p = 167; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7878872644063.845495 -------------- Searches starting with [167,331]-exponents: u = 17, v = 7 n_start has 56 digits starting right neighbors generation We generated 221 left neighbors We generated 9789 right neighbors We generated 10009 non-negative rho_i D1(167,331) = 0.8153391166376305255 D2(167,331) = 0.003810845939783097563 C1(167,331) = 1.285213777035062343 C2(167,331) = 1.660718959502199151 C3(167,331) = 8.153513156985870210 C4(167,331) = 2648 Sum = 4167.284720216903173 Averaged sum = 0.4163537536434112471 logp*logq = 29.69520594408936356 -------------- ************************************* p = 167; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8637621964722.811991 -------------- Searches starting with [167,337]-exponents: u = 25, v = 7 n_start has 74 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(167,337) = 0.6906837172844331574 D2(167,337) = 0.09158858661024513862 C1(167,337) = 0.9684220460267036799 C2(167,337) = 1.750966054911900437 C3(167,337) = 4.860800949560657945 C4(167,337) = 2696 Sum = 4189.200528768897183 Averaged sum = 0.4185433638494252355 logp*logq = 29.78714842529576357 -------------- ************************************* p = 167; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10032069529674.52298 -------------- Searches starting with [167,347]-exponents: u = 8, v = 3863 n_start has 9832 digits --- performed 5000 steps in the continued fraction search [167,347]-exponents: u = 209, v = 3686 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,347) = 0.6833617683434555191 D2(167,347) = 0.6023356003062862720 C1(167,347) = 0.8162863054194232626 C2(167,347) = 1.393088952674964670 C3(167,347) = 3.791651560899792889 C4(167,347) = 2776 Sum = 6609.009058004893628 Averaged sum = 0.6609670025007394367 logp*logq = 29.93680803058402301 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,347) = 0.6833617683434555191 D2(167,347) = 0.6023356003062862720 C1(167,347) = 0.8162863054194232626 C2(167,347) = 1.393088952674964670 C3(167,347) = 3.791651560899792889 C4(167,347) = 2776 Sum = 6609.009058004893628 Averaged sum = 0.6609670025007394367 logp*logq = 29.93680803058402301 -------------- ************************************* p = 167; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10331533809238.47684 -------------- Searches starting with [167,349]-exponents: u = 8, v = 118 n_start has 318 digits --- performed 5000 steps in the continued fraction search [167,349]-exponents: u = 21, v = 61 --- starting right neighbors generation We generated 8862 left neighbors We generated 1148 right neighbors We generated 10009 non-negative rho_i D1(167,349) = 0.6846734420359638394 D2(167,349) = 0.01601856317206606565 C1(167,349) = 0.9099291620663538691 C2(167,349) = 1.605806893335653820 C3(167,349) = 4.418049193126444964 C4(167,349) = 2792 Sum = 4841.408657598175512 Averaged sum = 0.4837055307821136489 logp*logq = 29.96622186908709876 -------------- ************************************* p = 167; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10952043941817.12187 -------------- Searches starting with [167,353]-exponents: u = 8, v = 41 n_start has 123 digits starting right neighbors generation We generated 807 left neighbors We generated 9203 right neighbors We generated 10009 non-negative rho_i D1(167,353) = 0.7069593671585663161 D2(167,353) = 0.02441104118965798355 C1(167,353) = 1.006771857205641086 C2(167,353) = 1.443724008366151083 C3(167,353) = 5.174896626765589549 C4(167,353) = 2824 Sum = 3501.387771068324083 Averaged sum = 0.3498239355648240667 logp*logq = 30.02454721612515708 -------------- ************************************* p = 167; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11938714809877.28446 -------------- Searches starting with [167,359]-exponents: u = 8, v = 20 n_start has 69 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(167,359) = 0.9453529157072361211 D2(167,359) = 0.07368351050424546177 C1(167,359) = 1.266108876665013734 C2(167,359) = 1.668486592325909326 C3(167,359) = 7.903100344367382325 C4(167,359) = 2872 Sum = 4524.632076058852215 Averaged sum = 0.4520563568846890014 logp*logq = 30.11080758073597596 -------------- ************************************* p = 167; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13364264048550.01219 -------------- Searches starting with [167,367]-exponents: u = 8, v = 13 n_start has 52 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(167,367) = 1.958484102373353082 D2(167,367) = 0.09257586335367212640 C1(167,367) = 3.139312500282332392 C2(167,367) = 1.106251573766244750 C3(167,367) = 168.3006252874613051 C4(167,367) = 2936 Sum = 4980.323817141670747 Averaged sum = 0.4975845556141143718 logp*logq = 30.22360539842526460 -------------- ************************************* p = 167; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14520778091780.67140 -------------- Searches starting with [167,373]-exponents: u = 15, v = 6 n_start has 49 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(167,373) = 0.7310606620064928776 D2(167,373) = 0.08983047593394859143 C1(167,373) = 0.9726101507986480902 C2(167,373) = 1.822519493362521271 C3(167,373) = 4.894153890763150746 C4(167,373) = 2984 Sum = 4245.758465068184622 Averaged sum = 0.4241940718421605177 logp*logq = 30.30660171147763524 -------------- ************************************* p = 167; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15756491556661.11092 -------------- Searches starting with [167,379]-exponents: u = 29, v = 6 n_start has 80 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(167,379) = 0.8181862448537345139 D2(167,379) = 0.03348780708508452598 C1(167,379) = 1.214915225491904540 C2(167,379) = 1.769336530299980645 C3(167,379) = 7.269358554385131937 C4(167,379) = 3032 Sum = 3009.278151015483233 Averaged sum = 0.3006572236003080461 logp*logq = 30.38827355861231954 -------------- ************************************* p = 167; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16626289621248.73163 -------------- Searches starting with [167,383]-exponents: u = 43, v = 6 n_start has 112 digits starting right neighbors generation We generated 1037 left neighbors We generated 8973 right neighbors We generated 10009 non-negative rho_i D1(167,383) = 1.044876883613641205 D2(167,383) = 0.0003693961669734636780 C1(167,383) = 1.498465039055136989 C2(167,383) = 1.738296460438853853 C3(167,383) = 11.54944710834319938 C4(167,383) = 3064 Sum = 3697.090884072082795 Averaged sum = 0.3693766494227278244 logp*logq = 30.44200627066490709 -------------- ************************************* p = 167; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18003047778072.94241 -------------- Searches starting with [167,389]-exponents: u = 134, v = 6 n_start has 314 digits --- performed 5000 steps in the continued fraction search [167,389]-exponents: u = 61, v = 22 --- starting right neighbors generation We generated 8136 left neighbors We generated 1874 right neighbors We generated 10009 non-negative rho_i D1(167,389) = 1.178750801656307880 D2(167,389) = 0.009665659438599703522 C1(167,389) = 1.571703658076885274 C2(167,389) = 1.515261800624595107 C3(167,389) = 13.01651374246977124 C4(167,389) = 3112 Sum = 4835.880534491969102 Averaged sum = 0.4831532155551972327 logp*logq = 30.52156218049558197 -------------- ************************************* p = 167; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19979919466860.53771 -------------- Searches starting with [167,397]-exponents: u = 7, v = 65 n_start has 185 digits starting right neighbors generation We generated 2737 left neighbors We generated 7273 right neighbors We generated 10009 non-negative rho_i D1(167,397) = 0.7453323400511130842 D2(167,397) = 0.02440797417773521340 C1(167,397) = 1.026337669346056716 C2(167,397) = 1.608636313302986808 C3(167,397) = 5.342884567759758065 C4(167,397) = 3176 Sum = 4137.192033851010439 Averaged sum = 0.4133471909132790927 logp*logq = 30.62574885845317165 -------------- ************************************* p = 167; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21031816884923.47317 -------------- Searches starting with [167,401]-exponents: u = 7, v = 35 n_start has 107 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(167,401) = 0.7159882114155052106 D2(167,401) = 0.04030231000648849354 C1(167,401) = 0.9561595251646675453 C2(167,401) = 1.707974135204869499 C3(167,401) = 4.764446849403631175 C4(167,401) = 3208 Sum = 4414.357988823931724 Averaged sum = 0.4410388639048787815 logp*logq = 30.67705749681972296 -------------- ************************************* p = 167; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23269322038918.90372 -------------- Searches starting with [167,409]-exponents: u = 7, v = 17 n_start has 60 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(167,409) = 1.065603936393738183 D2(167,409) = 0.02283862488753117096 C1(167,409) = 1.517503021265658987 C2(167,409) = 1.694428010515682982 C3(167,409) = 11.91409401594197685 C4(167,409) = 3272 Sum = 4671.803679933722392 Averaged sum = 0.4667602837380080320 logp*logq = 30.77815695826392025 -------------- ************************************* p = 167; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26331472385693.00898 -------------- Searches starting with [167,419]-exponents: u = 7, v = 11 n_start has 45 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(167,419) = 0.6302877476170985039 D2(167,419) = 0.08558001232612677391 C1(167,419) = 0.8514151082021891325 C2(167,419) = 1.884704925481160771 C3(167,419) = 4.015487200372017328 C4(167,419) = 3352 Sum = 4332.576012540538039 Averaged sum = 0.4328680200360213846 logp*logq = 30.90178600833256197 -------------- ************************************* p = 167; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26981092355561.16107 -------------- Searches starting with [167,421]-exponents: u = 7, v = 11 n_start has 45 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(167,421) = 0.6436797393019470539 D2(167,421) = 0.09884564053454911593 C1(167,421) = 1.053581223813146449 C2(167,421) = 1.898817475959422237 C3(167,421) = 5.585913282023044590 C4(167,421) = 3368 Sum = 4483.261165013379444 Averaged sum = 0.4479229858141052497 logp*logq = 30.92615745349275136 -------------- ************************************* p = 167; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30425545093099.76329 -------------- Searches starting with [167,431]-exponents: u = 13, v = 5 n_start has 43 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(167,431) = 0.9204895876333102844 D2(167,431) = 0.05887404348919225227 C1(167,431) = 1.354146666229565146 C2(167,431) = 1.889078157193081178 C3(167,431) = 9.124836076193412926 C4(167,431) = 3448 Sum = 4149.677103125675206 Averaged sum = 0.4145945751948921177 logp*logq = 31.04630367060220114 -------------- ************************************* p = 167; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31155070622139.31877 -------------- Searches starting with [167,433]-exponents: u = 13, v = 5 n_start has 43 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(167,433) = 0.6678089413188557998 D2(167,433) = 0.04477026695774412598 C1(167,433) = 0.9451288221080837222 C2(167,433) = 1.875925686293456280 C3(167,433) = 4.679404815102568286 C4(167,433) = 3464 Sum = 3867.867220321875994 Averaged sum = 0.3864389269978894989 logp*logq = 31.06999812872169311 -------------- ************************************* p = 167; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33428513448140.78006 -------------- Searches starting with [167,439]-exponents: u = 19, v = 5 n_start has 56 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(167,439) = 0.6157208460950233150 D2(167,439) = 0.005473046104721158622 C1(167,439) = 0.8308654559916005297 C2(167,439) = 1.839455807377748676 C3(167,439) = 3.882991970850441139 C4(167,439) = 3512 Sum = 4444.617919685516025 Averaged sum = 0.4440621360461101034 logp*logq = 31.14043034777210507 -------------- ************************************* p = 167; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35016916128716.84102 -------------- Searches starting with [167,443]-exponents: u = 25, v = 5 n_start has 69 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(167,443) = 0.8624255090560778417 D2(167,443) = 0.09344886189673683904 C1(167,443) = 1.299887570856647256 C2(167,443) = 1.811234717032280535 C3(167,443) = 8.351220679046342506 C4(167,443) = 3544 Sum = 2892.831508281753716 Averaged sum = 0.2890230301010843956 logp*logq = 31.18685237862079348 -------------- ************************************* p = 167; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37512876066848.03652 -------------- Searches starting with [167,449]-exponents: u = 31, v = 5 n_start has 83 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(167,449) = 0.5969260935819025744 D2(167,449) = 0.02148695530698007357 C1(167,449) = 0.7935923202214247018 C2(167,449) = 1.741933367200697619 C3(167,449) = 3.653727223031152973 C4(167,449) = 3592 Sum = 4389.541123881167383 Averaged sum = 0.4385594089200886585 logp*logq = 31.25570535175236110 -------------- ************************************* p = 167; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41061485170708.38939 -------------- Searches starting with [167,457]-exponents: u = 67, v = 5 n_start has 163 digits starting right neighbors generation We generated 1918 left neighbors We generated 8092 right neighbors We generated 10009 non-negative rho_i D1(167,457) = 0.8174379787658365720 D2(167,457) = 0.009630476545322114030 C1(167,457) = 1.128520897832188441 C2(167,457) = 1.592827078784229614 C3(167,457) = 6.312972447026926958 C4(167,457) = 3656 Sum = 4992.793442911515278 Averaged sum = 0.4988303969339110079 logp*logq = 31.34609169760820988 -------------- ************************************* p = 167; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42934346237720.45059 -------------- Searches starting with [167,461]-exponents: u = 145, v = 5 n_start has 336 digits --- performed 5000 steps in the continued fraction search [167,461]-exponents: u = 3, v = 82 --- starting right neighbors generation We generated 8436 left neighbors We generated 1574 right neighbors We generated 10009 non-negative rho_i D1(167,461) = 0.7091498369203412791 D2(167,461) = 0.001941394078569128305 C1(167,461) = 0.9399274654433322479 C2(167,461) = 1.441074729995261590 C3(167,461) = 4.639832865954316159 C4(167,461) = 3688 Sum = 4858.981910640284383 Averaged sum = 0.4854612759157043044 logp*logq = 31.39069323314588202 -------------- ************************************* p = 167; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43896209359444.27886 -------------- Searches starting with [167,463]-exponents: u = 313, v = 5 n_start has 710 digits --- performed 5000 steps in the continued fraction search [167,463]-exponents: u = 105, v = 162 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,463) = 0.5709062292770261125 D2(167,463) = 0.2505017945134999505 C1(167,463) = 0.7331271371852873902 C2(167,463) = 1.380725011626650172 C3(167,463) = 3.310246038195272056 C4(167,463) = 3704 Sum = 5333.975285754016448 Averaged sum = 0.5334508736627679216 logp*logq = 31.41284908511626440 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,463) = 0.5709062292770261125 D2(167,463) = 0.2505017945134999505 C1(167,463) = 0.7331271371852873902 C2(167,463) = 1.380725011626650172 C3(167,463) = 3.310246038195272056 C4(167,463) = 3704 Sum = 5333.975285754016448 Averaged sum = 0.5334508736627679216 logp*logq = 31.41284908511626440 -------------- ************************************* p = 167; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45871958015942.86069 -------------- Searches starting with [167,467]-exponents: u = 6, v = 214 n_start has 585 digits --- performed 5000 steps in the continued fraction search [167,467]-exponents: u = 50, v = 157 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,467) = 0.6412487203079415652 D2(167,467) = 0.1982739276341556612 C1(167,467) = 0.8299302761628484021 C2(167,467) = 1.374572469782617079 C3(167,467) = 3.877067451496465744 C4(167,467) = 3736 Sum = 5204.563514316554636 Averaged sum = 0.5205084022718826519 logp*logq = 31.45687510982548410 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,467) = 0.6412487203079415652 D2(167,467) = 0.1982739276341556612 C1(167,467) = 0.8299302761628484021 C2(167,467) = 1.374572469782617079 C3(167,467) = 3.877067451496465744 C4(167,467) = 3736 Sum = 5204.563514316554636 Averaged sum = 0.5205084022718826519 logp*logq = 31.45687510982548410 -------------- ************************************* p = 167; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52232471125622.80418 -------------- Searches starting with [167,479]-exponents: u = 6, v = 29 n_start has 92 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(167,479) = 1.779044936098152438 D2(167,479) = 0.03889093658546821602 C1(167,479) = 2.561245431053243956 C2(167,479) = 1.716754901573596329 C3(167,479) = 65.49053096440274737 C4(167,479) = 3832 Sum = 7820.333428390945520 Averaged sum = 0.7813301457079573903 logp*logq = 31.58672546963785514 -------------- ************************************* p = 167; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56853419938046.33573 -------------- Searches starting with [167,487]-exponents: u = 6, v = 19 n_start has 65 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(167,487) = 0.6338949107371852045 D2(167,487) = 0.04031237341591245949 C1(167,487) = 0.8455362128776688349 C2(167,487) = 1.813055640004402010 C3(167,487) = 3.977127579689191339 C4(167,487) = 3896 Sum = 4260.551845669366686 Averaged sum = 0.4256720796952109787 logp*logq = 31.67149749153729159 -------------- ************************************* p = 167; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59284126513096.64248 -------------- Searches starting with [167,491]-exponents: u = 6, v = 14 n_start has 52 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(167,491) = 0.8339158396951908045 D2(167,491) = 0.07682223243195801802 C1(167,491) = 1.268165256667499393 C2(167,491) = 1.850938141003303131 C3(167,491) = 7.929680234791185710 C4(167,491) = 3928 Sum = 3640.421098823084005 Averaged sum = 0.3637147665923752627 logp*logq = 31.71336270503849327 -------------- ************************************* p = 167; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64396445733286.45563 -------------- Searches starting with [167,499]-exponents: u = 6, v = 14 n_start has 52 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(167,499) = 0.8795824577706345362 D2(167,499) = 0.1209817658328256131 C1(167,499) = 1.148166784856909378 C2(167,499) = 1.297511467885456036 C3(167,499) = 6.518756931425547126 C4(167,499) = 3992 Sum = 4192.888971943560934 Averaged sum = 0.4189118765055011423 logp*logq = 31.79607955703888734 -------------- ************************************* p = 167; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67082344303660.39624 -------------- Searches starting with [167,503]-exponents: u = 6, v = 9 n_start has 38 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(167,503) = 0.6789124307404282132 D2(167,503) = 0.1485428226045886356 C1(167,503) = 0.9326064476151719079 C2(167,503) = 1.849310858527584350 C3(167,503) = 4.584700866157722111 C4(167,503) = 4024 Sum = 4555.549138365305558 Averaged sum = 0.4551452830817569745 logp*logq = 31.83694200015095541 -------------- ************************************* p = 167; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71279535671015.10923 -------------- Searches starting with [167,509]-exponents: u = 6, v = 9 n_start has 38 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(167,509) = 0.7570623742574575806 D2(167,509) = 0.01551176761343278835 C1(167,509) = 1.003431545764641501 C2(167,509) = 1.938018593620176425 C3(167,509) = 5.146749900076768907 C4(167,509) = 4072 Sum = 4292.862018952093161 Averaged sum = 0.4289001917226589230 logp*logq = 31.89763038491465352 -------------- ************************************* p = 167; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80307971683380.83361 -------------- Searches starting with [167,521]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(167,521) = 1.380916955548720665 D2(167,521) = 0.03266251787145333347 C1(167,521) = 2.321203833760596087 C2(167,521) = 1.038723546837172011 C3(167,521) = 44.25527800810744527 C4(167,521) = 4168 Sum = 2657.975266254565862 Averaged sum = 0.2655585239538980780 logp*logq = 32.01689000571958930 -------------- ************************************* p = 167; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81898287866890.87372 -------------- Searches starting with [167,523]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(167,523) = 0.8045985105621493957 D2(167,523) = 0.04535416424250950019 C1(167,523) = 1.352461594341712617 C2(167,523) = 1.279781103156640917 C3(167,523) = 9.099765216612169704 C4(167,523) = 4184 Sum = 4252.540518254105227 Averaged sum = 0.4248716673248181863 logp*logq = 32.03649920140288832 -------------- ************************************* p = 167; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97383794134801.09999 -------------- Searches starting with [167,541]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(167,541) = 0.6023404226643119066 D2(167,541) = 0.1365211377797476006 C1(167,541) = 0.8203676739746907706 C2(167,541) = 1.865797314735992118 C3(167,541) = 3.817003145600264521 C4(167,541) = 4328 Sum = 4442.222357765870545 Averaged sum = 0.4438227952608522875 logp*logq = 32.20968092808060955 -------------- ************************************* p = 167; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103039132737539.1485 -------------- Searches starting with [167,547]-exponents: u = 16, v = 4 n_start has 47 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(167,547) = 0.6226243433157464022 D2(167,547) = 0.1279484944447680372 C1(167,547) = 0.8514538141861690995 C2(167,547) = 1.474651428048106594 C3(167,547) = 4.015740977867268825 C4(167,547) = 4376 Sum = 4003.971111658513708 Averaged sum = 0.4000370777958351192 logp*logq = 32.26612996149392166 -------------- ************************************* p = 167; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113049826117540.8782 -------------- Searches starting with [167,557]-exponents: u = 21, v = 4 n_start has 58 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(167,557) = 1.102690196760372293 D2(167,557) = 0.04044187444045739032 C1(167,557) = 1.694057569122088067 C2(167,557) = 1.882336440304149701 C3(167,557) = 15.89482715948717166 C4(167,557) = 4456 Sum = 2666.151013634075042 Averaged sum = 0.2663753635362249018 logp*logq = 32.35884977654909631 -------------- ************************************* p = 167; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119422166546443.7428 -------------- Searches starting with [167,563]-exponents: u = 21, v = 4 n_start has 58 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(167,563) = 0.6347121739365348738 D2(167,563) = 0.1207986949792007865 C1(167,563) = 0.8602433358917623006 C2(167,563) = 1.873902193467307196 C3(167,563) = 4.073787206882648877 C4(167,563) = 4504 Sum = 4448.796674553126214 Averaged sum = 0.4444796357831078243 logp*logq = 32.41368594912402308 -------------- ************************************* p = 167; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126080386628967.8714 -------------- Searches starting with [167,569]-exponents: u = 26, v = 4 n_start has 69 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(167,569) = 0.5604199090898616743 D2(167,569) = 0.04896352316078360092 C1(167,569) = 0.7647897534513048661 C2(167,569) = 1.804180257635469572 C3(167,569) = 3.485878357145414821 C4(167,569) = 4552 Sum = 4387.410792990676504 Averaged sum = 0.4383465673884180742 logp*logq = 32.46794080857027985 -------------- ************************************* p = 167; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128364976337703.4676 -------------- Searches starting with [167,571]-exponents: u = 31, v = 4 n_start has 80 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(167,571) = 0.7107748253788701446 D2(167,571) = 0.02802516422661361528 C1(167,571) = 1.048727890475698968 C2(167,571) = 1.783941316325712667 C3(167,571) = 5.541823523280591611 C4(167,571) = 4568 Sum = 3723.913873263914198 Averaged sum = 0.3720565364435921869 logp*logq = 32.48589870002033781 -------------- ************************************* p = 167; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 135419350571130.1130 -------------- Searches starting with [167,577]-exponents: u = 36, v = 4 n_start has 92 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(167,577) = 0.6598377015974779642 D2(167,577) = 0.03683617713098839440 C1(167,577) = 0.9499622195527991848 C2(167,577) = 1.727474189294398651 C3(167,577) = 4.716479797898253153 C4(167,577) = 4616 Sum = 4116.024404327261686 Averaged sum = 0.4112323313345250960 logp*logq = 32.53939738031017164 -------------- ************************************* p = 167; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147867479809407.2454 -------------- Searches starting with [167,587]-exponents: u = 66, v = 4 n_start has 158 digits starting right neighbors generation We generated 1447 left neighbors We generated 8563 right neighbors We generated 10009 non-negative rho_i D1(167,587) = 1.148505948462598322 D2(167,587) = 0.02494188342541665472 C1(167,587) = 1.588426120309882699 C2(167,587) = 1.587414565099755509 C3(167,587) = 13.37681051105178809 C4(167,587) = 4696 Sum = 5948.787364118253348 Averaged sum = 0.5943438269675545357 logp*logq = 32.62733758188343668 -------------- ************************************* p = 167; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155767468583827.6388 -------------- Searches starting with [167,593]-exponents: u = 126, v = 4 n_start has 292 digits starting right neighbors generation We generated 5305 left neighbors We generated 4705 right neighbors We generated 10009 non-negative rho_i D1(167,593) = 0.6815775101332747051 D2(167,593) = 0.005586877054406181526 C1(167,593) = 0.9098468816314039616 C2(167,593) = 1.449291788553612907 C3(167,593) = 4.417455692777287953 C4(167,593) = 4744 Sum = 4746.672685046564640 Averaged sum = 0.4742404520977684724 logp*logq = 32.67938542514848025 -------------- ************************************* p = 167; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164003566085703.0362 -------------- Searches starting with [167,599]-exponents: u = 716, v = 4 n_start has 1603 digits --- performed 5000 steps in the continued fraction search [167,599]-exponents: u = 671, v = 33 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,599) = 0.8072807067186236125 D2(167,599) = 0.4002621637748899113 C1(167,599) = 1.007792087655526092 C2(167,599) = 1.435127578299587124 C3(167,599) = 5.183524122592603150 C4(167,599) = 4792 Sum = 5746.962505788477580 Averaged sum = 0.5747537259514429023 logp*logq = 32.73090928794135856 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,599) = 0.8072807067186236125 D2(167,599) = 0.4002621637748899113 C1(167,599) = 1.007792087655526092 C2(167,599) = 1.435127578299587124 C3(167,599) = 5.183524122592603150 C4(167,599) = 4792 Sum = 5746.962505788477580 Averaged sum = 0.5747537259514429023 logp*logq = 32.73090928794135856 -------------- ************************************* p = 167; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166825468511014.6500 -------------- Searches starting with [167,601]-exponents: u = 5, v = 1159 n_start has 3232 digits **************************************************** Computing .... elapsed time = 22 minutes **************************************************** --- performed 5000 steps in the continued fraction search [167,601]-exponents: u = 357, v = 874 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,601) = 0.7291977188783914002 D2(167,601) = 0.5126785637921405402 C1(167,601) = 0.8927734079358698733 C2(167,601) = 1.464215267738003131 C3(167,601) = 4.296011212306454160 C4(167,601) = 4808 Sum = 6083.717649735457221 Averaged sum = 0.6084326082343691591 logp*logq = 32.74796928311238461 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,601) = 0.7291977188783914002 D2(167,601) = 0.5126785637921405402 C1(167,601) = 0.8927734079358698733 C2(167,601) = 1.464215267738003131 C3(167,601) = 4.296011212306454160 C4(167,601) = 4808 Sum = 6083.717649735457221 Averaged sum = 0.6084326082343691591 logp*logq = 32.74796928311238461 -------------- ************************************* p = 167; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175526421846947.9970 -------------- Searches starting with [167,607]-exponents: u = 5, v = 115 n_start has 332 digits --- performed 5000 steps in the continued fraction search [167,607]-exponents: u = 42, v = 43 --- starting right neighbors generation We generated 6882 left neighbors We generated 3128 right neighbors We generated 10009 non-negative rho_i D1(167,607) = 0.6922541099300832043 D2(167,607) = 0.006991495092871196565 C1(167,607) = 0.9196851381928822967 C2(167,607) = 1.428360452510426670 C3(167,607) = 4.488988652234800056 C4(167,607) = 4856 Sum = 4728.434908226600472 Averaged sum = 0.4724183143397542683 logp*logq = 32.79881069933714014 -------------- ************************************* p = 167; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184588848642872.7749 -------------- Searches starting with [167,613]-exponents: u = 5, v = 59 n_start has 176 digits starting right neighbors generation We generated 1828 left neighbors We generated 8182 right neighbors We generated 10009 non-negative rho_i D1(167,613) = 0.6563330818953120484 D2(167,613) = 0.02289000462740516726 C1(167,613) = 0.8693641317533434791 C2(167,613) = 1.574946240623448275 C3(167,613) = 4.134908409492631516 C4(167,613) = 4904 Sum = 4520.687164226802716 Averaged sum = 0.4516622204242984031 logp*logq = 32.84915202795419274 -------------- ************************************* p = 167; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 190836834631758.8890 -------------- Searches starting with [167,617]-exponents: u = 5, v = 43 n_start has 132 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(167,617) = 0.8631406067547421946 D2(167,617) = 0.01692621353379732544 C1(167,617) = 1.208766774298579381 C2(167,617) = 1.641784637987236986 C3(167,617) = 7.196746832343735571 C4(167,617) = 4936 Sum = 5067.939279097055509 Averaged sum = 0.5063382235085478578 logp*logq = 32.88243990993585189 -------------- ************************************* p = 167; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 194024006302445.8871 -------------- Searches starting with [167,619]-exponents: u = 5, v = 39 n_start has 120 digits starting right neighbors generation We generated 780 left neighbors We generated 9230 right neighbors We generated 10009 non-negative rho_i D1(167,619) = 0.6619599190912378032 D2(167,619) = 0.04799740759412574606 C1(167,619) = 0.8757205926576776931 C2(167,619) = 1.673334845599705581 C3(167,619) = 4.178046402018924785 C4(167,619) = 4952 Sum = 4310.533980156809429 Averaged sum = 0.4306657987967638554 logp*logq = 32.89900301116328118 -------------- ************************************* p = 167; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 214058725439056.2753 -------------- Searches starting with [167,631]-exponents: u = 5, v = 23 n_start has 76 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(167,631) = 0.9439561315169257723 D2(167,631) = 0.07172447737367007289 C1(167,631) = 1.280864439081862404 C2(167,631) = 1.806038169210771596 C3(167,631) = 8.095816611477208924 C4(167,631) = 5048 Sum = 4700.438527730250556 Averaged sum = 0.4696211936986962290 logp*logq = 32.99727151124419918 -------------- ************************************* p = 167; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 231996817536853.6532 -------------- Searches starting with [167,641]-exponents: u = 5, v = 19 n_start has 65 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(167,641) = 0.6975631897860776120 D2(167,641) = 0.06159936255898992471 C1(167,641) = 1.055975971024859688 C2(167,641) = 1.875626709352491256 C3(167,641) = 5.607797257752365875 C4(167,641) = 5128 Sum = 4083.481737591993895 Averaged sum = 0.4079809908674187127 logp*logq = 33.07774476998721038 -------------- ************************************* p = 167; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 235725401100358.2293 -------------- Searches starting with [167,643]-exponents: u = 5, v = 15 n_start has 54 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(167,643) = 1.004722756404851017 D2(167,643) = 0.07900205232519700075 C1(167,643) = 1.299940426012902545 C2(167,643) = 1.893539505656042390 C3(167,643) = 8.351941419810516733 C4(167,643) = 5144 Sum = 3886.505700560658306 Averaged sum = 0.3883010990669056155 logp*logq = 33.09368868883938128 -------------- ************************************* p = 167; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 243327231989830.5785 -------------- Searches starting with [167,647]-exponents: u = 5, v = 15 n_start has 54 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(167,647) = 0.7906296729936281502 D2(167,647) = 0.1164107959216546220 C1(167,647) = 1.133853175289832348 C2(167,647) = 1.931963643293654825 C3(167,647) = 6.368175308218013899 C4(167,647) = 5176 Sum = 4113.699976097098370 Averaged sum = 0.4110000975219400909 logp*logq = 33.12542828707412209 -------------- ************************************* p = 167; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 255098699315357.9077 -------------- Searches starting with [167,653]-exponents: u = 5, v = 15 n_start has 54 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(167,653) = 0.8730161405255040196 D2(167,653) = 0.001010021981476748637 C1(167,653) = 1.357155495880314022 C2(167,653) = 1.926551942362761734 C3(167,653) = 9.169773990668095415 C4(167,653) = 5224 Sum = 3424.559872520082501 Averaged sum = 0.3421480540034051854 logp*logq = 33.17267164233872858 -------------- ************************************* p = 167; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267324097811826.4007 -------------- Searches starting with [167,659]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(167,659) = 0.7389606392968757817 D2(167,659) = 0.03086059910411307762 C1(167,659) = 1.044324140567846424 C2(167,659) = 1.957995135592935735 C3(167,659) = 5.502119186100174023 C4(167,659) = 5272 Sum = 3902.297256522559371 Averaged sum = 0.3898788347010250146 logp*logq = 33.21948288769164263 -------------- ************************************* p = 167; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 271502366517240.4237 -------------- Searches starting with [167,661]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(167,661) = 0.8557111312435681371 D2(167,661) = 0.04122631018218907717 C1(167,661) = 1.148577920647851705 C2(167,661) = 1.968888438481309665 C3(167,661) = 6.523134358041479530 C4(167,661) = 5288 Sum = 4497.024658963033664 Averaged sum = 0.4492980976084557562 logp*logq = 33.23499197171847449 -------------- ************************************* p = 167; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 297689557225931.5943 -------------- Searches starting with [167,673]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(167,673) = 0.8833804391618724401 D2(167,673) = 0.07451325933798228252 C1(167,673) = 1.429986143143087509 C2(167,673) = 1.247281496389020728 C3(167,673) = 10.32768125820268634 C4(167,673) = 5384 Sum = 3993.244328693519838 Averaged sum = 0.3989653640417144408 logp*logq = 33.32707230515542019 -------------- ************************************* p = 167; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 306856475023026.7098 -------------- Searches starting with [167,677]-exponents: u = 14, v = 7 n_start has 51 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(167,677) = 0.7344954089283782373 D2(167,677) = 0.08906790012359706246 C1(167,677) = 1.188921528354005246 C2(167,677) = 1.369839059822238734 C3(167,677) = 6.967291262047678425 C4(167,677) = 5416 Sum = 4210.212090412422870 Averaged sum = 0.4206426306736360146 logp*logq = 33.35740124613145943 -------------- ************************************* p = 167; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 321031481690897.6777 -------------- Searches starting with [167,683]-exponents: u = 14, v = 7 n_start has 51 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(167,683) = 0.6579518914604358106 D2(167,683) = 0.08422918490413965229 C1(167,683) = 0.8756616713387567926 C2(167,683) = 1.930783620576974307 C3(167,683) = 4.177644474397204405 C4(167,683) = 5464 Sum = 4214.836904241266718 Averaged sum = 0.4211046961975488778 logp*logq = 33.40256030805306259 -------------- ************************************* p = 167; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 340746243679022.5176 -------------- Searches starting with [167,691]-exponents: u = 14, v = 7 n_start has 51 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(167,691) = 0.7520245616434792569 D2(167,691) = 0.06023245219812948328 C1(167,691) = 1.143659313347749801 C2(167,691) = 1.909023367727903491 C3(167,691) = 6.470957397778588911 C4(167,691) = 5528 Sum = 3970.107739033892143 Averaged sum = 0.3966537854964424162 logp*logq = 33.46215916275850822 -------------- ************************************* p = 167; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 366747538640223.6919 -------------- Searches starting with [167,701]-exponents: u = 32, v = 7 n_start has 92 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(167,701) = 0.6815266988630157188 D2(167,701) = 0.02874199407598752790 C1(167,701) = 0.8984459411799894120 C2(167,701) = 1.661674513667795238 C3(167,701) = 4.335985269466175518 C4(167,701) = 5608 Sum = 4027.335835861264426 Averaged sum = 0.4023714492817728470 logp*logq = 33.53569482165501824 -------------- ************************************* p = 167; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 388677851184348.2331 -------------- Searches starting with [167,709]-exponents: u = 50, v = 7 n_start has 132 digits starting right neighbors generation We generated 784 left neighbors We generated 9226 right neighbors We generated 10009 non-negative rho_i D1(167,709) = 0.6489957215930473783 D2(167,709) = 0.009909771167189852289 C1(167,709) = 0.9088772819740990028 C2(167,709) = 1.534606483558220446 C3(167,709) = 4.410467836655497557 C4(167,709) = 5672 Sum = 4342.159436952256677 Averaged sum = 0.4338255007445555676 logp*logq = 33.59377197038895068 -------------- ************************************* p = 167; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 417561822771525.7284 -------------- Searches starting with [167,719]-exponents: u = 383, v = 7 n_start has 872 digits --- performed 5000 steps in the continued fraction search [167,719]-exponents: u = 222, v = 119 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,719) = 0.5935246682760643344 D2(167,719) = 0.3324741314655880046 C1(167,719) = 0.7564498763513387871 C2(167,719) = 1.482736837841186720 C3(167,719) = 3.438732736586757666 C4(167,719) = 5752 Sum = 5361.020917381841627 Averaged sum = 0.5361557073089150542 logp*logq = 33.66545372775159269 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,719) = 0.5935246682760643344 D2(167,719) = 0.3324741314655880046 C1(167,719) = 0.7564498763513387871 C2(167,719) = 1.482736837841186720 C3(167,719) = 3.438732736586757666 C4(167,719) = 5752 Sum = 5361.020917381841627 Averaged sum = 0.5361557073089150542 logp*logq = 33.66545372775159269 -------------- ************************************* p = 167; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 441891256838796.5706 -------------- Searches starting with [167,727]-exponents: u = 9, v = 80 n_start has 249 digits starting right neighbors generation We generated 4803 left neighbors We generated 5207 right neighbors We generated 10009 non-negative rho_i D1(167,727) = 0.6043748716910606175 D2(167,727) = 0.01994672519377537074 C1(167,727) = 0.8135093169316433227 C2(167,727) = 1.758447930205340605 C3(167,727) = 3.774498512391659663 C4(167,727) = 5816 Sum = 4519.710319873329085 Averaged sum = 0.4515646238258896079 logp*logq = 33.72208494248547790 -------------- ************************************* p = 167; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 460876340864677.8199 -------------- Searches starting with [167,733]-exponents: u = 9, v = 38 n_start has 129 digits starting right neighbors generation We generated 762 left neighbors We generated 9248 right neighbors We generated 10009 non-negative rho_i D1(167,733) = 0.6261119901494465734 D2(167,733) = 0.004491107591061511458 C1(167,733) = 0.8778806256562765420 C2(167,733) = 1.539907926906343223 C3(167,733) = 4.192807638380118886 C4(167,733) = 5864 Sum = 4264.106925313016248 Averaged sum = 0.4260272679901105253 logp*logq = 33.76415088186767323 -------------- ************************************* p = 167; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 480512274165651.9903 -------------- Searches starting with [167,739]-exponents: u = 9, v = 24 n_start has 89 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(167,739) = 0.8841947021019753175 D2(167,739) = 0.01436421549391554057 C1(167,739) = 1.171936272169521302 C2(167,739) = 1.665399880733745182 C3(167,739) = 6.776722861132974091 C4(167,739) = 5912 Sum = 4309.573374504466494 Averaged sum = 0.4305698246082991802 logp*logq = 33.80587388858215350 -------------- ************************************* p = 167; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 493972741593439.9739 -------------- Searches starting with [167,743]-exponents: u = 9, v = 24 n_start has 89 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(167,743) = 1.343874944764149784 D2(167,743) = 0.02081904940817219681 C1(167,743) = 1.982850271445544117 C2(167,743) = 1.672801694781585363 C3(167,743) = 25.47056886227646532 C4(167,743) = 5944 Sum = 3902.760210958295844 Averaged sum = 0.3899250885161650358 logp*logq = 33.83350145263340804 -------------- ************************************* p = 167; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 521804000446691.4532 -------------- Searches starting with [167,751]-exponents: u = 9, v = 17 n_start has 69 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(167,751) = 1.233864049355432942 D2(167,751) = 0.03583928902861883407 C1(167,751) = 1.611646389558013547 C2(167,751) = 1.780300846619343187 C3(167,751) = 13.89370464724515433 C4(167,751) = 6008 Sum = 4242.932275315641878 Averaged sum = 0.4239117069952684462 logp*logq = 33.88831315523017313 -------------- ************************************* p = 167; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 543494178529880.5136 -------------- Searches starting with [167,757]-exponents: u = 9, v = 10 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(167,757) = 0.8796339461963569536 D2(167,757) = 0.05029948557542091005 C1(167,757) = 1.152542533784476815 C2(167,757) = 1.938905630286635358 C3(167,757) = 6.565497345172002045 C4(167,757) = 6056 Sum = 3841.713836505538993 Averaged sum = 0.3838259403042800472 logp*logq = 33.92904011135587156 -------------- ************************************* p = 167; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 558352987945187.3225 -------------- Searches starting with [167,761]-exponents: u = 9, v = 10 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(167,761) = 1.008872756563069730 D2(167,761) = 0.05812463341610690429 C1(167,761) = 1.472188753958021216 C2(167,761) = 1.947680523549159616 C3(167,761) = 11.06442086431627299 C4(167,761) = 6088 Sum = 3812.273769344717437 Averaged sum = 0.3808845808117411766 logp*logq = 33.95601247318990700 -------------- ************************************* p = 167; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 589051342597079.9024 -------------- Searches starting with [167,769]-exponents: u = 9, v = 10 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(167,769) = 0.7685693535541340675 D2(167,769) = 0.07414129309310905246 C1(167,769) = 1.015527254657728543 C2(167,769) = 1.965581483729680456 C3(167,769) = 5.249405585226251565 C4(167,769) = 6152 Sum = 4053.174313290757220 Averaged sum = 0.4049529736527882126 logp*logq = 34.00953446487634216 -------------- ************************************* p = 167; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 604901663763886.0196 -------------- Searches starting with [167,773]-exponents: u = 9, v = 10 n_start has 49 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(167,773) = 0.8229228877959789318 D2(167,773) = 0.06545897562942446165 C1(167,773) = 1.346864167154831242 C2(167,773) = 1.312209489752789100 C3(167,773) = 9.016978890612310662 C4(167,773) = 6184 Sum = 4279.807661751481758 Averaged sum = 0.4275959298382937115 logp*logq = 34.03608702151521070 -------------- ************************************* p = 167; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 663102646357488.0608 -------------- Searches starting with [167,787]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(167,787) = 0.7038488477805530336 D2(167,787) = 0.03743493364488844806 C1(167,787) = 1.009402611472598479 C2(167,787) = 2.065089690203479979 C3(167,787) = 5.197172670131468951 C4(167,787) = 6296 Sum = 3397.508568259159533 Averaged sum = 0.3394453560055109934 logp*logq = 34.12795091518288669 -------------- ************************************* p = 167; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 707368532013704.8733 -------------- Searches starting with [167,797]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(167,797) = 0.6186186431369448484 D2(167,797) = 0.1257772782412919385 C1(167,797) = 0.8150642738169505879 C2(167,797) = 1.894494802399982320 C3(167,797) = 3.784093668870081373 C4(167,797) = 6376 Sum = 4027.216922763554751 Averaged sum = 0.4023595686645573734 logp*logq = 34.19257290770384853 -------------- ************************************* p = 167; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 763594058384341.7594 -------------- Searches starting with [167,809]-exponents: u = 17, v = 3 n_start has 47 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(167,809) = 0.7191864072740418869 D2(167,809) = 0.1117018501720486799 C1(167,809) = 1.133648883052115060 C2(167,809) = 1.406284909604947803 C3(167,809) = 6.366051489367553275 C4(167,809) = 6472 Sum = 4248.810181511052703 Averaged sum = 0.4244989690789342295 logp*logq = 34.26905742669217011 -------------- ************************************* p = 167; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 773304846539901.9077 -------------- Searches starting with [167,811]-exponents: u = 17, v = 3 n_start has 47 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(167,811) = 0.6439900998771335146 D2(167,811) = 0.1244074806385722215 C1(167,811) = 0.8782467210237320704 C2(167,811) = 1.523436540897389761 C3(167,811) = 4.195314624917243701 C4(167,811) = 6488 Sum = 3970.999326478475344 Averaged sum = 0.3967428640701843685 logp*logq = 34.28169445487150189 -------------- ************************************* p = 167; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 823360911653714.8534 -------------- Searches starting with [167,821]-exponents: u = 17, v = 3 n_start has 47 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(167,821) = 0.7748873134039753621 D2(167,821) = 0.05718558643700783723 C1(167,821) = 1.085174340006880372 C2(167,821) = 1.986026067213812273 C3(167,821) = 5.881618619925328764 C4(167,821) = 6568 Sum = 4061.066408624630080 Averaged sum = 0.4057414735362803556 logp*logq = 34.34441575225717113 -------------- ************************************* p = 167; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 833677954549631.4167 -------------- Searches starting with [167,823]-exponents: u = 17, v = 3 n_start has 47 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(167,823) = 0.6265893702756695207 D2(167,823) = 0.04510558702388999939 C1(167,823) = 0.8482694130587547672 C2(167,823) = 1.974458361752736623 C3(167,823) = 3.994915837066050968 C4(167,823) = 6584 Sum = 4374.922884587419243 Averaged sum = 0.4370988994492376104 logp*logq = 34.35686829808993229 -------------- ************************************* p = 167; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 854624119730697.4908 -------------- Searches starting with [167,827]-exponents: u = 21, v = 3 n_start has 56 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(167,827) = 1.059934993963195888 D2(167,827) = 0.02206733492009930618 C1(167,827) = 1.628372959672670413 C2(167,827) = 1.952440942339797298 C3(167,827) = 14.27837780525707447 C4(167,827) = 6616 Sum = 2317.098633500682518 Averaged sum = 0.2315015119892779017 logp*logq = 34.38168286215547876 -------------- ************************************* p = 167; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 865254822585379.2131 -------------- Searches starting with [167,829]-exponents: u = 21, v = 3 n_start has 56 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(167,829) = 0.7207699483523105278 D2(167,829) = 0.01105131520832667588 C1(167,829) = 0.9553285541699674992 C2(167,829) = 1.941933473517794663 C3(167,829) = 4.757986934621427508 C4(167,829) = 6632 Sum = 4285.341991527652650 Averaged sum = 0.4281488651741085673 logp*logq = 34.39404517206080578 -------------- ************************************* p = 167; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 920016517472563.6162 -------------- Searches starting with [167,839]-exponents: u = 21, v = 3 n_start has 56 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(167,839) = 0.6725192115095593613 D2(167,839) = 0.08426338160058631322 C1(167,839) = 0.8860812535125019433 C2(167,839) = 1.938538286982025116 C3(167,839) = 4.249325515748758732 C4(167,839) = 6712 Sum = 4158.825888677255179 Averaged sum = 0.4155086310997357557 logp*logq = 34.45541273958499279 -------------- ************************************* p = 167; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1001334099760618.560 -------------- Searches starting with [167,853]-exponents: u = 29, v = 3 n_start has 74 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(167,853) = 0.5917773533312520096 D2(167,853) = 0.08686763536326491770 C1(167,853) = 0.7936031141187022675 C2(167,853) = 1.883015861755756850 C3(167,853) = 3.653791616415880738 C4(167,853) = 6824 Sum = 4091.252325043758567 Averaged sum = 0.4087573508885761381 logp*logq = 34.54010960555091386 -------------- ************************************* p = 167; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1025599259341866.883 -------------- Searches starting with [167,857]-exponents: u = 29, v = 3 n_start has 74 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(167,857) = 0.6038369950463518929 D2(167,857) = 0.05030731628871157213 C1(167,857) = 0.8070361684322372755 C2(167,857) = 1.847382290933042767 C3(167,857) = 3.734815482781125317 C4(167,857) = 6856 Sum = 4326.571522664820181 Averaged sum = 0.4322681109666120672 logp*logq = 34.56405347992412643 -------------- ************************************* p = 167; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1037907996980809.692 -------------- Searches starting with [167,859]-exponents: u = 33, v = 3 n_start has 83 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(167,859) = 1.512486420238106729 D2(167,859) = 0.03339827596021955102 C1(167,859) = 2.218771508658067850 C2(167,859) = 1.830934994891052180 C3(167,859) = 37.43952554799864889 C4(167,859) = 6872 Sum = 3191.766893288488873 Averaged sum = 0.3188896886091006967 logp*logq = 34.57598354083283096 -------------- ************************************* p = 167; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1062882081642775.976 -------------- Searches starting with [167,863]-exponents: u = 33, v = 3 n_start has 83 digits starting right neighbors generation We generated 334 left neighbors We generated 9676 right neighbors We generated 10009 non-negative rho_i D1(167,863) = 0.5446027977290172969 D2(167,863) = 0.001787023119860414388 C1(167,863) = 0.7348982494065920889 C2(167,863) = 1.800243996246405012 C3(167,863) = 3.319832480838853114 C4(167,863) = 6904 Sum = 4353.632621922885626 Averaged sum = 0.4349717875834634455 logp*logq = 34.59976055833631315 -------------- ************************************* p = 167; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1154127286021932.644 -------------- Searches starting with [167,877]-exponents: u = 45, v = 3 n_start has 109 digits starting right neighbors generation We generated 565 left neighbors We generated 9445 right neighbors We generated 10009 non-negative rho_i D1(167,877) = 0.6920709973906799288 D2(167,877) = 0.01249000037263613480 C1(167,877) = 0.9197611426688534869 C2(167,877) = 1.722791031640311963 C3(167,877) = 4.489545757995368072 C4(167,877) = 7016 Sum = 4390.984003223025088 Averaged sum = 0.4387035671119017972 logp*logq = 34.68212085675970790 -------------- ************************************* p = 167; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1181322503152182.240 -------------- Searches starting with [167,881]-exponents: u = 49, v = 3 n_start has 118 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(167,881) = 0.7980260832405304253 D2(167,881) = 0.02362304868530283713 C1(167,881) = 1.126213749842756794 C2(167,881) = 1.699428921479877487 C3(167,881) = 6.289236059199084266 C4(167,881) = 7048 Sum = 4765.929808006192690 Averaged sum = 0.4761644328110892886 logp*logq = 34.70541097118281783 -------------- ************************************* p = 167; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1195112124948948.639 -------------- Searches starting with [167,883]-exponents: u = 53, v = 3 n_start has 127 digits starting right neighbors generation We generated 789 left neighbors We generated 9221 right neighbors We generated 10009 non-negative rho_i D1(167,883) = 0.5520054797597130500 D2(167,883) = 0.001445066943566878548 C1(167,883) = 0.7749377179679791701 C2(167,883) = 1.677672542796873153 C3(167,883) = 3.544117787761539058 C4(167,883) = 7064 Sum = 4408.251020505721458 Averaged sum = 0.4404287162059867577 logp*logq = 34.71701640430171144 -------------- ************************************* p = 167; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1223079947051774.495 -------------- Searches starting with [167,887]-exponents: u = 61, v = 3 n_start has 145 digits starting right neighbors generation We generated 923 left neighbors We generated 9087 right neighbors We generated 10009 non-negative rho_i D1(167,887) = 0.5886726005105343513 D2(167,887) = 0.04171552518268174431 C1(167,887) = 0.7874139779313956321 C2(167,887) = 1.661166320746393299 C3(167,887) = 3.617054562177170561 C4(167,887) = 7096 Sum = 4216.921351538477972 Averaged sum = 0.4213129534957016657 logp*logq = 34.74014861910454637 -------------- ************************************* p = 167; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1370931624279847.879 -------------- Searches starting with [167,907]-exponents: u = 161, v = 3 n_start has 367 digits --- performed 5000 steps in the continued fraction search [167,907]-exponents: u = 95, v = 16 --- starting right neighbors generation We generated 6318 left neighbors We generated 3692 right neighbors We generated 10009 non-negative rho_i D1(167,907) = 0.6642150428180753521 D2(167,907) = 0.01285747240747750245 C1(167,907) = 0.8766161122224439625 C2(167,907) = 1.423360626860997103 C3(167,907) = 4.184159887814507897 C4(167,907) = 7256 Sum = 4783.838656686075667 Averaged sum = 0.4779537073320087587 logp*logq = 34.85426692136594947 -------------- ************************************* p = 167; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1402157311965872.028 -------------- Searches starting with [167,911]-exponents: u = 237, v = 3 n_start has 536 digits --- performed 5000 steps in the continued fraction search [167,911]-exponents: u = 10, v = 151 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,911) = 0.5229504108112491144 D2(167,911) = 0.07194961613568169746 C1(167,911) = 0.6791033815411853665 C2(167,911) = 1.376384995181181309 C3(167,911) = 3.030763459241605095 C4(167,911) = 7288 Sum = 5029.227484182292452 Averaged sum = 0.5029730457228015253 logp*logq = 34.87678838262501400 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,911) = 0.5229504108112491144 D2(167,911) = 0.07194961613568169746 C1(167,911) = 0.6791033815411853665 C2(167,911) = 1.376384995181181309 C3(167,911) = 3.030763459241605095 C4(167,911) = 7288 Sum = 5029.227484182292452 Averaged sum = 0.5029730457228015253 logp*logq = 34.87678838262501400 -------------- ************************************* p = 167; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1466325717153791.911 -------------- Searches starting with [167,919]-exponents: u = 3221, v = 3 n_start has 7169 digits --- performed 5000 steps in the continued fraction search [167,919]-exponents: u = 2563, v = 495 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,919) = 0.6923969696309717588 D2(167,919) = 0.5876514209788886510 C1(167,919) = 0.8323570097444708094 C2(167,919) = 1.504444546670399540 C3(167,919) = 3.892459951554273955 C4(167,919) = 7352 Sum = 6339.853956470378910 Averaged sum = 0.6340488005270906000 logp*logq = 34.92153615456552052 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,919) = 0.6923969696309717588 D2(167,919) = 0.5876514209788886510 C1(167,919) = 0.8323570097444708094 C2(167,919) = 1.504444546670399540 C3(167,919) = 3.892459951554273955 C4(167,919) = 7352 Sum = 6339.853956470378910 Averaged sum = 0.6340488005270906000 logp*logq = 34.92153615456552052 -------------- ************************************* p = 167; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1549837123383795.810 -------------- Searches starting with [167,929]-exponents: u = 4, v = 167 n_start has 505 digits --- performed 5000 steps in the continued fraction search [167,929]-exponents: u = 108, v = 65 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,929) = 0.5821845501699086906 D2(167,929) = 0.05249394665922927886 C1(167,929) = 0.7579828591591414790 C2(167,929) = 1.380600693452744306 C3(167,929) = 3.447350654729408867 C4(167,929) = 7432 Sum = 4983.273381367039330 Averaged sum = 0.4983771758542893619 logp*logq = 34.97692623863249947 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(167,929) = 0.5821845501699086906 D2(167,929) = 0.05249394665922927886 C1(167,929) = 0.7579828591591414790 C2(167,929) = 1.380600693452744306 C3(167,929) = 3.447350654729408867 C4(167,929) = 7432 Sum = 4983.273381367039330 Averaged sum = 0.4983771758542893619 logp*logq = 34.97692623863249947 -------------- ************************************* p = 167; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1619365334916915.512 -------------- Searches starting with [167,937]-exponents: u = 4, v = 89 n_start has 274 digits starting right neighbors generation We generated 3503 left neighbors We generated 6507 right neighbors We generated 10009 non-negative rho_i D1(167,937) = 0.6655095417109490804 D2(167,937) = 0.01144848690983620843 C1(167,937) = 0.8913153217866022568 C2(167,937) = 1.493140015822476392 C3(167,937) = 4.285795826957474075 C4(167,937) = 7496 Sum = 4680.712557791042795 Averaged sum = 0.4676503704457031466 logp*logq = 35.02081069882381747 -------------- ************************************* p = 167; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1655058287855101.391 -------------- Searches starting with [167,941]-exponents: u = 4, v = 74 n_start has 229 digits starting right neighbors generation We generated 2438 left neighbors We generated 7572 right neighbors We generated 10009 non-negative rho_i D1(167,941) = 0.7830051165587327303 D2(167,941) = 0.02327072198243303856 C1(167,941) = 1.061227584392147771 C2(167,941) = 1.546448192943439747 C3(167,941) = 5.656088832020820902 C4(167,941) = 7528 Sum = 4150.364998377222514 Averaged sum = 0.4146633028651436221 logp*logq = 35.04261262236732374 -------------- ************************************* p = 167; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1709782139602889.119 -------------- Searches starting with [167,947]-exponents: u = 4, v = 56 n_start has 176 digits starting right neighbors generation We generated 1474 left neighbors We generated 8536 right neighbors We generated 10009 non-negative rho_i D1(167,947) = 0.6255703738229252867 D2(167,947) = 0.004644126203936606067 C1(167,947) = 0.8593316864562636658 C2(167,947) = 1.601362714683210689 C3(167,947) = 4.067727856766785295 C4(167,947) = 7576 Sum = 4547.224505369867665 Averaged sum = 0.4543135683254938221 logp*logq = 35.07514235356770722 -------------- ************************************* p = 167; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1765952557703346.904 -------------- Searches starting with [167,953]-exponents: u = 4, v = 47 n_start has 149 digits starting right neighbors generation We generated 1082 left neighbors We generated 8928 right neighbors We generated 10009 non-negative rho_i D1(167,953) = 0.6437357558898772270 D2(167,953) = 0.007525523317431724026 C1(167,953) = 0.8434563518031465601 C2(167,953) = 1.653956290515065894 C3(167,953) = 3.963644482383390491 C4(167,953) = 7624 Sum = 3767.954494527730854 Averaged sum = 0.3764566384781427569 logp*logq = 35.10746663246396215 -------------- ************************************* p = 167; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1902804727641584.141 -------------- Searches starting with [167,967]-exponents: u = 4, v = 32 n_start has 105 digits starting right neighbors generation We generated 438 left neighbors We generated 9572 right neighbors We generated 10009 non-negative rho_i D1(167,967) = 0.8815646537009158394 D2(167,967) = 0.05873777084765528721 C1(167,967) = 1.174123863774080293 C2(167,967) = 1.769986705241252176 C3(167,967) = 6.800971358945302097 C4(167,967) = 7736 Sum = 4446.996483550197083 Averaged sum = 0.4442997785543208195 logp*logq = 35.18210536505452783 -------------- ************************************* p = 167; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1943432830451261.818 -------------- Searches starting with [167,971]-exponents: u = 4, v = 29 n_start has 96 digits starting right neighbors generation We generated 395 left neighbors We generated 9615 right neighbors We generated 10009 non-negative rho_i D1(167,971) = 0.6309980741424440675 D2(167,971) = 0.03001880787903609903 C1(167,971) = 0.9049186259566987849 C2(167,971) = 1.780930667436790790 C3(167,971) = 4.382052509201865731 C4(167,971) = 7768 Sum = 4178.187842124184483 Averaged sum = 0.4174430854355264744 logp*logq = 35.20323230449739280 -------------- ************************************* p = 167; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2005681076109515.149 -------------- Searches starting with [167,977]-exponents: u = 4, v = 26 n_start has 87 digits starting right neighbors generation We generated 352 left neighbors We generated 9658 right neighbors We generated 10009 non-negative rho_i D1(167,977) = 0.6643803993280541007 D2(167,977) = 0.006293499784701199588 C1(167,977) = 0.8803042088930106296 C2(167,977) = 1.804583117171444498 C3(167,977) = 4.209432018756477549 C4(167,977) = 7816 Sum = 4283.389430681873932 Averaged sum = 0.4279537846619916007 logp*logq = 35.23476008682070420 -------------- ************************************* p = 167; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2069523620535139.057 -------------- Searches starting with [167,983]-exponents: u = 4, v = 23 n_start has 78 digits starting right neighbors generation We generated 238 left neighbors We generated 9772 right neighbors We generated 10009 non-negative rho_i D1(167,983) = 0.7005519077753639820 D2(167,983) = 0.05126362295730047211 C1(167,983) = 1.022274249633038965 C2(167,983) = 1.850494329741373134 C3(167,983) = 5.307554000445624636 C4(167,983) = 7864 Sum = 3921.112263847274177 Averaged sum = 0.3917586436054824835 logp*logq = 35.26609484069565949 -------------- ************************************* p = 167; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2157180199020044.746 -------------- Searches starting with [167,991]-exponents: u = 4, v = 20 n_start has 69 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(167,991) = 0.8616310937180576762 D2(167,991) = 0.01400064772594828054 C1(167,991) = 1.271311992235439325 C2(167,991) = 1.871231030297482286 C3(167,991) = 7.970526758478694782 C4(167,991) = 7928 Sum = 4221.764610612165544 Averaged sum = 0.4217968439017050199 logp*logq = 35.30757830033041462 -------------- ************************************* p = 167; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2224862958495248.589 -------------- Searches starting with [167,997]-exponents: u = 4, v = 20 n_start has 69 digits starting right neighbors generation We generated 207 left neighbors We generated 9803 right neighbors We generated 10009 non-negative rho_i D1(167,997) = 0.5737284017594948278 D2(167,997) = 0.05197534786903716308 C1(167,997) = 0.7845882709368754840 C2(167,997) = 1.910159246793502258 C3(167,997) = 3.600404964535426254 C4(167,997) = 7976 Sum = 4273.905917529553864 Averaged sum = 0.4270062860954694639 logp*logq = 35.33847171694451420 -------------- ************************************* p = 173; q = 179; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 407013288061.6832726 -------------- Searches starting with [173,179]-exponents: u = 1, v = 151 n_start has 343 digits starting right neighbors generation We generated 3134 left neighbors We generated 6876 right neighbors We generated 10009 non-negative rho_i D1(173,179) = 0.7927853157192138211 D2(173,179) = 0.001906513622722673006 C1(173,179) = 1.051525693477536279 C2(173,179) = 1.116206670632421147 C3(173,179) = 5.607578684085300464 C4(173,179) = 1432 Sum = 4999.895316238035237 Averaged sum = 0.4995399456726980954 logp*logq = 26.73211167065625027 -------------- ************************************* p = 173; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 430998762253.2526903 -------------- Searches starting with [173,181]-exponents: u = 1, v = 113 n_start has 258 digits starting right neighbors generation We generated 1719 left neighbors We generated 8291 right neighbors We generated 10009 non-negative rho_i D1(173,181) = 1.403678080473344049 D2(173,181) = 0.004904640478310107720 C1(173,181) = 1.888726246964529823 C2(173,181) = 1.170589100710239543 C3(173,181) = 22.12753802245216166 C4(173,181) = 1448 Sum = 6197.701257641475559 Averaged sum = 0.6192128342133555359 logp*logq = 26.78937105524383738 -------------- ************************************* p = 173; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 568630405329.5384927 -------------- Searches starting with [173,191]-exponents: u = 1, v = 52 n_start has 121 digits starting right neighbors generation We generated 403 left neighbors We generated 9607 right neighbors We generated 10009 non-negative rho_i D1(173,191) = 0.9045174097486338511 D2(173,191) = 0.03564380813838177459 C1(173,191) = 1.278063626809511530 C2(173,191) = 1.371767538441739283 C3(173,191) = 8.129981857179985104 C4(173,191) = 1528 Sum = 3579.577196570074421 Averaged sum = 0.3576358473943525249 logp*logq = 27.06649650875673270 -------------- ************************************* p = 173; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 599988973761.4667680 -------------- Searches starting with [173,193]-exponents: u = 1, v = 47 n_start has 110 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(173,193) = 0.8083455802340863674 D2(173,193) = 0.009498560279041863802 C1(173,193) = 1.150722075009774729 C2(173,193) = 1.375676233263724125 C3(173,193) = 6.597989248294347996 C4(173,193) = 1544 Sum = 3402.027597904312978 Averaged sum = 0.3398968526230705343 logp*logq = 27.12017711492947516 -------------- ************************************* p = 173; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 666888943383.2470414 -------------- Searches starting with [173,197]-exponents: u = 1, v = 39 n_start has 92 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(173,197) = 1.243673473624744277 D2(173,197) = 0.03483091524698616685 C1(173,197) = 1.668145301491998458 C2(173,197) = 1.445331582660530322 C3(173,197) = 15.41206299519777345 C4(173,197) = 1576 Sum = 4917.291643895599839 Averaged sum = 0.4912870060840843080 logp*logq = 27.22588936732479999 -------------- ************************************* p = 173; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 702522495964.7833683 -------------- Searches starting with [173,199]-exponents: u = 1, v = 36 n_start has 85 digits starting right neighbors generation We generated 212 left neighbors We generated 9798 right neighbors We generated 10009 non-negative rho_i D1(173,199) = 0.6804688107590296750 D2(173,199) = 0.007984458870168070915 C1(173,199) = 0.9871889474908996763 C2(173,199) = 1.444556881637262561 C3(173,199) = 5.046173314813020731 C4(173,199) = 1592 Sum = 4414.554041085659627 Averaged sum = 0.4410584515022139701 logp*logq = 27.27794326036726573 -------------- ************************************* p = 173; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 949959827862.8913788 -------------- Searches starting with [173,211]-exponents: u = 1, v = 25 n_start has 61 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(173,211) = 0.9438293612381471652 D2(173,211) = 0.04707709275075772606 C1(173,211) = 1.413372101339369235 C2(173,211) = 1.591102722620389408 C3(173,211) = 10.14940711270831930 C4(173,211) = 1688 Sum = 4756.528304648427716 Averaged sum = 0.4752251278497779714 logp*logq = 27.57968553418678578 -------------- ************************************* p = 173; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1263280266256.875083 -------------- Searches starting with [173,223]-exponents: u = 1, v = 20 n_start has 50 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(173,223) = 0.6217653734417750225 D2(173,223) = 0.05087947678790269671 C1(173,223) = 0.8668957738282647126 C2(173,223) = 1.686190345531011585 C3(173,223) = 4.142888376261820777 C4(173,223) = 1784 Sum = 4275.728628578242908 Averaged sum = 0.4271883933038508250 logp*logq = 27.86473283987109537 -------------- ************************************* p = 173; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1384484972857.089846 -------------- Searches starting with [173,227]-exponents: u = 1, v = 18 n_start has 45 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(173,227) = 1.034925952121114498 D2(173,227) = 0.07644481672664285278 C1(173,227) = 1.601365585741789936 C2(173,227) = 1.735159068432026833 C3(173,227) = 13.81363449359812031 C4(173,227) = 1816 Sum = 4493.988546892168155 Averaged sum = 0.4489947594057516390 logp*logq = 27.95634932565749136 -------------- ************************************* p = 173; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1448506190319.752981 -------------- Searches starting with [173,229]-exponents: u = 1, v = 18 n_start has 45 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(173,229) = 0.5790354153078277895 D2(173,229) = 0.01214255596109684722 C1(173,229) = 0.8128609937423129547 C2(173,229) = 1.694741666469399991 C3(173,229) = 3.791629477380801075 C4(173,229) = 1832 Sum = 4583.282371552450918 Averaged sum = 0.4579161126538566208 logp*logq = 28.00155392775369372 -------------- ************************************* p = 173; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1583708942545.991861 -------------- Searches starting with [173,233]-exponents: u = 1, v = 17 n_start has 43 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(173,233) = 0.6662718837422595923 D2(173,233) = 0.002759825065100927512 C1(173,233) = 0.9388828911278867032 C2(173,233) = 1.712733862558080032 C3(173,233) = 4.661912931516444036 C4(173,233) = 1864 Sum = 4053.979412538180756 Averaged sum = 0.4050334111837526981 logp*logq = 28.09079064404429623 -------------- ************************************* p = 173; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1805418595592.347458 -------------- Searches starting with [173,239]-exponents: u = 1, v = 15 n_start has 38 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(173,239) = 0.9030298022118663892 D2(173,239) = 0.03063499129068749963 C1(173,239) = 1.425630708495821992 C2(173,239) = 1.771820771601867163 C3(173,239) = 10.35547060162475008 C4(173,239) = 1912 Sum = 3949.605023561966972 Averaged sum = 0.3946053575344157231 logp*logq = 28.22181358974210464 -------------- ************************************* p = 173; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1884639995717.533263 -------------- Searches starting with [173,241]-exponents: u = 1, v = 15 n_start has 38 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(173,241) = 0.9819796569798963233 D2(173,241) = 0.09260244298732290375 C1(173,241) = 1.291373736379984249 C2(173,241) = 1.835098021185316916 C3(173,241) = 8.309358603487712404 C4(173,241) = 1928 Sum = 4139.774984686043248 Averaged sum = 0.4136052537402381105 logp*logq = 28.26475793488458591 -------------- ************************************* p = 173; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2323905257337.816854 -------------- Searches starting with [173,251]-exponents: u = 1, v = 13 n_start has 34 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(173,251) = 0.6524529013896113897 D2(173,251) = 0.002769773451725236173 C1(173,251) = 1.047491752566906162 C2(173,251) = 1.815931797682897520 C3(173,251) = 5.570611463398565720 C4(173,251) = 2008 Sum = 4562.100211590182427 Averaged sum = 0.4557998013378142099 logp*logq = 28.47427018702086970 -------------- ************************************* p = 173; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2624750987372.650994 -------------- Searches starting with [173,257]-exponents: u = 1, v = 13 n_start has 34 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(173,257) = 1.124830772969236233 D2(173,257) = 0.08856906523265626150 C1(173,257) = 1.823713296051567585 C2(173,257) = 1.023758333232718846 C3(173,257) = 19.89016413235893033 C4(173,257) = 2056 Sum = 1744.990793085868246 Averaged sum = 0.1743421713543678935 logp*logq = 28.59600714551917981 -------------- ************************************* p = 173; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2956225900990.421297 -------------- Searches starting with [173,263]-exponents: u = 1, v = 12 n_start has 32 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(173,263) = 0.6660169444563694837 D2(173,263) = 0.07780240667939315797 C1(173,263) = 0.8893198789692233689 C2(173,263) = 1.936936548001992545 C3(173,263) = 4.298046350321662783 C4(173,263) = 2104 Sum = 4283.596197686982506 Averaged sum = 0.4279744427702050660 logp*logq = 28.71493453726858054 -------------- ************************************* p = 173; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3320641576573.519088 -------------- Searches starting with [173,269]-exponents: u = 1, v = 11 n_start has 29 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(173,269) = 0.8682700331173508635 D2(173,269) = 0.1234973551755038329 C1(173,269) = 1.259646839862848004 C2(173,269) = 1.732714105231313563 C3(173,269) = 7.888151878103431939 C4(173,269) = 2152 Sum = 3877.012681305163263 Averaged sum = 0.3873526507448459649 logp*logq = 28.83117912614323007 -------------- ************************************* p = 173; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3449849873222.951874 -------------- Searches starting with [173,271]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(173,271) = 0.8438019720517296982 D2(173,271) = 0.01417626889159900183 C1(173,271) = 1.273619049339291922 C2(173,271) = 1.922292411959786875 C3(173,271) = 8.070950072415036087 C4(173,271) = 2168 Sum = 3430.961063359061857 Averaged sum = 0.3427875974981578436 logp*logq = 28.86935183101717114 -------------- ************************************* p = 173; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3861983941870.988387 -------------- Searches starting with [173,277]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(173,277) = 0.9155947871565795469 D2(173,277) = 0.08105340492030270654 C1(173,277) = 1.192324014266643506 C2(173,277) = 1.164931848110974496 C3(173,277) = 7.063756316611186982 C4(173,277) = 2216 Sum = 4413.415579594525802 Averaged sum = 0.4409447077225023281 logp*logq = 28.98220214194357199 -------------- ************************************* p = 173; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4158126483753.708392 -------------- Searches starting with [173,281]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(173,281) = 0.8930832975477716157 D2(173,281) = 0.1007430461717936428 C1(173,281) = 1.216149833609679352 C2(173,281) = 1.750954638383630684 C3(173,281) = 7.345167610926777196 C4(173,281) = 2248 Sum = 4818.545229247381920 Averaged sum = 0.4814212438053134099 logp*logq = 29.05608572427489588 -------------- ************************************* p = 173; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4312910338898.842886 -------------- Searches starting with [173,283]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(173,283) = 0.8778116545174549974 D2(173,283) = 0.08876959454773353757 C1(173,283) = 1.150766715391600446 C2(173,283) = 1.603164934623058110 C3(173,283) = 6.598472198940988077 C4(173,283) = 2264 Sum = 4174.014383609504455 Averaged sum = 0.4170261148575786247 logp*logq = 29.09263404480845947 -------------- ************************************* p = 173; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5158081177018.254106 -------------- Searches starting with [173,293]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(173,293) = 0.6846887909627325982 D2(173,293) = 0.07996593570994612140 C1(173,293) = 0.9300916326755061117 C2(173,293) = 1.776261883885501370 C3(173,293) = 4.595195969954251331 C4(173,293) = 2344 Sum = 4579.835808141301232 Averaged sum = 0.4575717662245280479 logp*logq = 29.27158576134417189 -------------- ************************************* p = 173; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6560686485633.518780 -------------- Searches starting with [173,307]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(173,307) = 1.201984735569345568 D2(173,307) = 0.03431385494234123553 C1(173,307) = 2.057899696231950132 C2(173,307) = 1.006494416689602978 C3(173,307) = 29.20108063112255187 C4(173,307) = 2456 Sum = 3400.590079267144804 Averaged sum = 0.3397532300196967533 logp*logq = 29.51211636060964111 -------------- ************************************* p = 173; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7013279705111.783273 -------------- Searches starting with [173,311]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(173,311) = 0.7691141090082329959 D2(173,311) = 0.05067186641239187730 C1(173,311) = 1.025429990281477538 C2(173,311) = 1.803542457230572559 C3(173,311) = 5.372705364038734105 C4(173,311) = 2488 Sum = 4359.355040421296388 Averaged sum = 0.4355435148787387739 logp*logq = 29.57882656849117555 -------------- ************************************* p = 173; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7248825720474.311036 -------------- Searches starting with [173,313]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(173,313) = 0.7839714296267048654 D2(173,313) = 0.04744077099687396181 C1(173,313) = 1.049759804519910524 C2(173,313) = 1.801544585018733718 C3(173,313) = 5.591365902154201715 C4(173,313) = 2504 Sum = 4368.108353049375759 Averaged sum = 0.4364180590517909640 logp*logq = 29.61186060208689086 -------------- ************************************* p = 173; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7739050370554.178715 -------------- Searches starting with [173,317]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(173,317) = 0.9784828302398164234 D2(173,317) = 0.04111686614792482788 C1(173,317) = 1.523380427821621431 C2(173,317) = 1.797663127190100145 C3(173,317) = 12.15558658926520059 C4(173,317) = 2536 Sum = 3313.174832681599951 Averaged sum = 0.3310195656590668349 logp*logq = 29.67730010486013903 -------------- ************************************* p = 173; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9669598014058.421614 -------------- Searches starting with [173,331]-exponents: u = 9, v = 7 n_start has 38 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(173,331) = 0.8521122130016669007 D2(173,331) = 0.02094005788430338908 C1(173,331) = 1.487984203954009378 C2(173,331) = 1.840637720125776192 C3(173,331) = 11.47019526517881996 C4(173,331) = 2648 Sum = 4397.343251553826332 Averaged sum = 0.4393389201272680919 logp*logq = 29.90000785411172720 -------------- ************************************* p = 173; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10607521535813.20614 -------------- Searches starting with [173,337]-exponents: u = 9, v = 7 n_start has 38 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(173,337) = 0.7595622095674179636 D2(173,337) = 0.01233079080201334742 C1(173,337) = 1.032418302448780741 C2(173,337) = 1.835579828004984851 C3(173,337) = 5.434621406038695061 C4(173,337) = 2696 Sum = 4505.434364111545440 Averaged sum = 0.4501383119304171685 logp*logq = 29.99258444426482788 -------------- ************************************* p = 173; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12332710294761.80769 -------------- Searches starting with [173,347]-exponents: u = 17, v = 7 n_start has 56 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(173,347) = 0.8031321352419569777 D2(173,347) = 0.1394815416508270803 C1(173,347) = 1.155454773695839064 C2(173,347) = 1.802794425124697934 C3(173,347) = 6.649388162363354716 C4(173,347) = 2776 Sum = 3966.024127559667348 Averaged sum = 0.3962457915435775150 logp*logq = 30.14327622198771997 -------------- ************************************* p = 173; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12703427080716.14092 -------------- Searches starting with [173,349]-exponents: u = 17, v = 7 n_start has 56 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(173,349) = 0.7959252656160307553 D2(173,349) = 0.1122580474604511885 C1(173,349) = 1.201375084001254648 C2(173,349) = 1.776674165912683252 C3(173,349) = 7.169367406135278637 C4(173,349) = 2792 Sum = 3780.683901396766894 Averaged sum = 0.3777284345485829647 logp*logq = 30.17289292186572140 -------------- ************************************* p = 173; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13471810770323.84775 -------------- Searches starting with [173,353]-exponents: u = 33, v = 7 n_start has 92 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(173,353) = 0.6315953870230554738 D2(173,353) = 0.06402636525788973054 C1(173,353) = 0.8722053460815721074 C2(173,353) = 1.730629800052326026 C3(173,353) = 4.179112836672787744 C4(173,353) = 2824 Sum = 4289.663811911586104 Averaged sum = 0.4285806585984200323 logp*logq = 30.23162052718407594 -------------- ************************************* p = 173; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14694227012160.39601 -------------- Searches starting with [173,359]-exponents: u = 129, v = 7 n_start has 307 digits --- performed 5000 steps in the continued fraction search [173,359]-exponents: u = 43, v = 33 --- starting right neighbors generation We generated 8236 left neighbors We generated 1774 right neighbors We generated 10009 non-negative rho_i D1(173,359) = 0.9284771284178935423 D2(173,359) = 0.002605265359844914579 C1(173,359) = 1.237902148338867419 C2(173,359) = 1.672442874265503722 C3(173,359) = 7.611867175361297924 C4(173,359) = 2872 Sum = 4815.693363804181310 Averaged sum = 0.4811363136980898501 logp*logq = 30.31847581231724391 -------------- ************************************* p = 173; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16461601024699.31458 -------------- Searches starting with [173,367]-exponents: u = 8, v = 41 n_start has 124 digits starting right neighbors generation We generated 807 left neighbors We generated 9203 right neighbors We generated 10009 non-negative rho_i D1(173,367) = 0.6417272142519247846 D2(173,367) = 0.01916758321639208218 C1(173,367) = 0.9042955540134505009 C2(173,367) = 1.443696540179251543 C3(173,367) = 4.404889760509367560 C4(173,367) = 2936 Sum = 4410.704658685245573 Averaged sum = 0.4406738593950689952 logp*logq = 30.43205157404748704 -------------- ************************************* p = 173; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17896392928773.93756 -------------- Searches starting with [173,373]-exponents: u = 8, v = 20 n_start has 70 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(173,373) = 0.5894768594174112290 D2(173,373) = 0.06511066136748915391 C1(173,373) = 0.7877321208635201989 C2(173,373) = 1.665432951141778335 C3(173,373) = 3.638580641728286687 C4(173,373) = 2984 Sum = 4255.280448195568893 Averaged sum = 0.4251454139470045852 logp*logq = 30.51562029610991617 -------------- ************************************* p = 173; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19430311627826.24176 -------------- Searches starting with [173,379]-exponents: u = 8, v = 13 n_start has 52 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(173,379) = 1.089717892554823209 D2(173,379) = 0.1221385013691880685 C1(173,379) = 1.539745333737281912 C2(173,379) = 1.836689264624058131 C3(173,379) = 12.48616646805122268 C4(173,379) = 3032 Sum = 4467.957187333252109 Averaged sum = 0.4463939641655761923 logp*logq = 30.59785541767750829 -------------- ************************************* p = 173; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20510513279642.31839 -------------- Searches starting with [173,383]-exponents: u = 15, v = 6 n_start has 50 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(173,383) = 0.8448357238694602815 D2(173,383) = 0.1059306032296413796 C1(173,383) = 1.356356069752075444 C2(173,383) = 1.230186511516393717 C3(173,383) = 9.243584773720011426 C4(173,383) = 3064 Sum = 4139.040628411934721 Averaged sum = 0.4135318841454625558 logp*logq = 30.65195871352331052 -------------- ************************************* p = 173; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22221097793985.37436 -------------- Searches starting with [173,389]-exponents: u = 15, v = 6 n_start has 50 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(173,389) = 0.5729566306905489988 D2(173,389) = 0.08343135019159023491 C1(173,389) = 0.8769359115308430824 C2(173,389) = 1.822605936117434074 C3(173,389) = 4.211653760401870058 C4(173,389) = 3112 Sum = 4436.634280410228734 Averaged sum = 0.4432644900000228528 logp*logq = 30.73206330458952107 -------------- ************************************* p = 173; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24678870232466.74263 -------------- Searches starting with [173,397]-exponents: u = 29, v = 6 n_start has 81 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(173,397) = 0.7845589696200007960 D2(173,397) = 0.01403162344880976180 C1(173,397) = 1.143542069390595820 C2(173,397) = 1.757231982629611559 C3(173,397) = 6.520769236568460499 C4(173,397) = 3176 Sum = 4288.546004601745763 Averaged sum = 0.4284689783796329067 logp*logq = 30.83696853727560040 -------------- ************************************* p = 173; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25987351143251.20787 -------------- Searches starting with [173,401]-exponents: u = 50, v = 6 n_start has 128 digits starting right neighbors generation We generated 1260 left neighbors We generated 8750 right neighbors We generated 10009 non-negative rho_i D1(173,401) = 0.5946392439472916697 D2(173,401) = 0.02992268021953652777 C1(173,401) = 0.8357984961616526981 C2(173,401) = 1.667987696782405497 C3(173,401) = 3.936944893413040795 C4(173,401) = 3208 Sum = 4372.217062556961473 Averaged sum = 0.4368285605512000672 logp*logq = 30.88863104108285285 -------------- ************************************* p = 173; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28772113862699.54989 -------------- Searches starting with [173,409]-exponents: u = 7, v = 557 n_start has 1471 digits --- performed 5000 steps in the continued fraction search [173,409]-exponents: u = 641, v = 6 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,409) = 1.052772477474704346 D2(173,409) = 0.4398147211835846665 C1(173,409) = 1.319280223611198963 C2(173,409) = 1.438674041424038779 C3(173,409) = 8.698398199113369384 C4(173,409) = 3272 Sum = 5774.998548409404590 Averaged sum = 0.5775576106020006591 logp*logq = 30.99042776533926934 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,409) = 1.052772477474704346 D2(173,409) = 0.4398147211835846665 C1(173,409) = 1.319280223611198963 C2(173,409) = 1.438674041424038779 C3(173,409) = 8.698398199113369384 C4(173,409) = 3272 Sum = 5774.998548409404590 Averaged sum = 0.5775576106020006591 logp*logq = 30.99042776533926934 -------------- ************************************* p = 173; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32586182354634.23064 -------------- Searches starting with [173,419]-exponents: u = 7, v = 29 n_start has 92 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(173,419) = 0.7219407493037142507 D2(173,419) = 0.05143654253530813756 C1(173,419) = 0.9560511622420997920 C2(173,419) = 1.725689925608599123 C3(173,419) = 4.795008944362436510 C4(173,419) = 3352 Sum = 4377.730967998416332 Averaged sum = 0.4373794552900805606 logp*logq = 31.11490946029732453 -------------- ************************************* p = 173; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33395724223362.96483 -------------- Searches starting with [173,421]-exponents: u = 7, v = 23 n_start has 77 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(173,421) = 0.7161007219793727524 D2(173,421) = 0.07697947682942601740 C1(173,421) = 1.049062785326054620 C2(173,421) = 1.752008687993643565 C3(173,421) = 5.584979417687820871 C4(173,421) = 3368 Sum = 3999.142106191754932 Averaged sum = 0.3995546114688535250 logp*logq = 31.13944899045171163 -------------- ************************************* p = 173; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37690298085321.66871 -------------- Searches starting with [173,431]-exponents: u = 7, v = 11 n_start has 45 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(173,431) = 0.6079500124032852701 D2(173,431) = 0.04869051756517507100 C1(173,431) = 0.9406955403124179314 C2(173,431) = 1.851911540601036485 C3(173,431) = 4.675789139851898500 C4(173,431) = 3448 Sum = 4407.957631334707542 Averaged sum = 0.4403994036701676033 logp*logq = 31.26042383204661896 -------------- ************************************* p = 173; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38600320910788.61626 -------------- Searches starting with [173,433]-exponents: u = 7, v = 11 n_start has 45 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(173,433) = 0.6468757635375296244 D2(173,433) = 0.06036387436575652741 C1(173,433) = 0.8849916589116090153 C2(173,433) = 1.864407942932841920 C3(173,433) = 4.267652364020767002 C4(173,433) = 3464 Sum = 4478.786848905172822 Averaged sum = 0.4474759565296406057 logp*logq = 31.28428170611577477 -------------- ************************************* p = 173; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41437180860059.49740 -------------- Searches starting with [173,439]-exponents: u = 7, v = 11 n_start has 45 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(173,439) = 0.7538131543672504854 D2(173,439) = 0.09730637765325036713 C1(173,439) = 1.023386232415215499 C2(173,439) = 1.903796479671212002 C3(173,439) = 5.354731462471829134 C4(173,439) = 3512 Sum = 4684.539133139594971 Averaged sum = 0.4680326838984508913 logp*logq = 31.35519968212694992 -------------- ************************************* p = 173; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43420025881830.28502 -------------- Searches starting with [173,443]-exponents: u = 13, v = 5 n_start has 43 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(173,443) = 0.7831418811534053555 D2(173,443) = 0.08242929734650543293 C1(173,443) = 1.283762818398896271 C2(173,443) = 1.285783905644675847 C3(173,443) = 8.206309336605819620 C4(173,443) = 3544 Sum = 4258.728674666606589 Averaged sum = 0.4254899265327811559 logp*logq = 31.40194187645936122 -------------- ************************************* p = 173; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46537042058376.44252 -------------- Searches starting with [173,449]-exponents: u = 13, v = 5 n_start has 43 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(173,449) = 0.8119828111268061441 D2(173,449) = 0.05960788455554804275 C1(173,449) = 1.196141504169888735 C2(173,449) = 1.896186446400777690 C3(173,449) = 7.108109097666077362 C4(173,449) = 3592 Sum = 3496.129594854703749 Averaged sum = 0.3492985907537919621 logp*logq = 31.47126971480771211 -------------- ************************************* p = 173; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50971075324146.57720 -------------- Searches starting with [173,457]-exponents: u = 19, v = 5 n_start has 56 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(173,457) = 0.6246647534651118148 D2(173,457) = 0.008189092344998592421 C1(173,457) = 0.8304678035355791258 C2(173,457) = 1.848391748031161046 C3(173,457) = 3.902684388345821178 C4(173,457) = 3656 Sum = 4405.902115735876263 Averaged sum = 0.4401940369403413191 logp*logq = 31.56227943725525967 -------------- ************************************* p = 173; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53312320843821.22598 -------------- Searches starting with [173,461]-exponents: u = 19, v = 5 n_start has 56 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(173,461) = 0.7579001895211948285 D2(173,461) = 0.1046551635401495589 C1(173,461) = 0.9937987532642357277 C2(173,461) = 1.828349180233200478 C3(173,461) = 5.101159515241602645 C4(173,461) = 3688 Sum = 4137.919628354613035 Averaged sum = 0.4134198849390161889 logp*logq = 31.60718858068375580 -------------- ************************************* p = 173; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54515012432545.75014 -------------- Searches starting with [173,463]-exponents: u = 25, v = 5 n_start has 70 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(173,463) = 0.7502271265244461938 D2(173,463) = 0.07917426972159383998 C1(173,463) = 1.014002233527581024 C2(173,463) = 1.803723420139373063 C3(173,463) = 5.272972347756896267 C4(173,463) = 3704 Sum = 4548.951314201752500 Averaged sum = 0.4544860939356331801 logp*logq = 31.62949723714420471 -------------- ************************************* p = 173; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56986009174801.34444 -------------- Searches starting with [173,467]-exponents: u = 31, v = 5 n_start has 83 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(173,467) = 0.5849746188650734269 D2(173,467) = 0.03335514303108328508 C1(173,467) = 0.7820241214759494419 C2(173,467) = 1.759603400917858570 C3(173,467) = 3.604685881058135961 C4(173,467) = 3736 Sum = 4330.346363308632490 Averaged sum = 0.4326452556008225088 logp*logq = 31.67382690056090186 -------------- ************************************* p = 173; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64945710411703.73569 -------------- Searches starting with [173,479]-exponents: u = 97, v = 5 n_start has 231 digits starting right neighbors generation We generated 3788 left neighbors We generated 6222 right neighbors We generated 10009 non-negative rho_i D1(173,479) = 0.6009149788196585313 D2(173,479) = 0.01573227759861614565 C1(173,479) = 0.8135036226215779186 C2(173,479) = 1.519956031812432161 C3(173,479) = 3.795626736541414791 C4(173,479) = 3832 Sum = 4639.856652248990484 Averaged sum = 0.4635684536166440687 logp*logq = 31.80457281239459027 -------------- ************************************* p = 173; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70732727616215.67561 -------------- Searches starting with [173,487]-exponents: u = 6, v = 234 n_start has 643 digits --- performed 5000 steps in the continued fraction search [173,487]-exponents: u = 212, v = 44 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,487) = 0.5367337543442855012 D2(173,487) = 0.2163601233662136161 C1(173,487) = 0.6970947327132607085 C2(173,487) = 1.375644413560309711 C3(173,487) = 3.136104355998832747 C4(173,487) = 3896 Sum = 5255.507806181520110 Averaged sum = 0.5256033409522472357 logp*logq = 31.88992949001367893 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,487) = 0.5367337543442855012 D2(173,487) = 0.2163601233662136161 C1(173,487) = 0.6970947327132607085 C2(173,487) = 1.375644413560309711 C3(173,487) = 3.136104355998832747 C4(173,487) = 3896 Sum = 5255.507806181520110 Averaged sum = 0.5256033409522472357 logp*logq = 31.88992949001367893 -------------- ************************************* p = 173; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73778128331498.15293 -------------- Searches starting with [173,491]-exponents: u = 6, v = 79 n_start has 227 digits starting right neighbors generation We generated 3674 left neighbors We generated 6336 right neighbors We generated 10009 non-negative rho_i D1(173,491) = 0.6333576819219859760 D2(173,491) = 0.009242960803345598925 C1(173,491) = 0.8583736558069051337 C2(173,491) = 1.530779905508912874 C3(173,491) = 4.085401669707518591 C4(173,491) = 3928 Sum = 4649.148953127813195 Averaged sum = 0.4644968481494468173 logp*logq = 31.93208343953862409 -------------- ************************************* p = 173; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80186057829359.56346 -------------- Searches starting with [173,499]-exponents: u = 6, v = 34 n_start has 106 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(173,499) = 0.5675887782645024898 D2(173,499) = 0.02674140834760522127 C1(173,499) = 0.7754442148383381762 C2(173,499) = 1.710644308194361654 C3(173,499) = 3.566005219656553846 C4(173,499) = 3992 Sum = 4362.206067113714016 Averaged sum = 0.4358283611863037282 logp*logq = 32.01537077316196477 -------------- ************************************* p = 173; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83554066094824.76337 -------------- Searches starting with [173,503]-exponents: u = 6, v = 24 n_start has 79 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(173,503) = 0.6600340723338919392 D2(173,503) = 0.07885333777675256988 C1(173,503) = 0.9644249167306953060 C2(173,503) = 1.764020349977018779 C3(173,503) = 4.861297998392025300 C4(173,503) = 4024 Sum = 4173.741367331520681 Averaged sum = 0.4169988377791508323 logp*logq = 32.05651503639049502 -------------- ************************************* p = 173; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88819023966082.93515 -------------- Searches starting with [173,509]-exponents: u = 6, v = 19 n_start has 65 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(173,509) = 0.6641877767835667978 D2(173,509) = 0.04470834471114802282 C1(173,509) = 0.9398037696306498411 C2(173,509) = 1.824233004194300666 C3(173,509) = 4.668957295042454857 C4(173,509) = 4072 Sum = 3929.742129059553576 Averaged sum = 0.3926208541372318489 logp*logq = 32.11762197683416314 -------------- ************************************* p = 173; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100151395039764.9681 -------------- Searches starting with [173,521]-exponents: u = 6, v = 14 n_start has 52 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(173,521) = 0.8333359077680225253 D2(173,521) = 0.1166774615925454469 C1(173,521) = 1.081894294746568548 C2(173,521) = 1.275047909588675148 C3(173,521) = 5.893867836608964853 C4(173,521) = 4168 Sum = 4039.028165627533989 Averaged sum = 0.4035396308949479457 logp*logq = 32.23770410744675543 -------------- ************************************* p = 173; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102148478655390.4050 -------------- Searches starting with [173,523]-exponents: u = 6, v = 9 n_start has 38 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(173,523) = 0.7947725656563201994 D2(173,523) = 0.1229105687817072776 C1(173,523) = 1.254722904044121853 C2(173,523) = 1.301276063216007700 C3(173,523) = 7.824723581127610189 C4(173,523) = 4184 Sum = 4140.740602376581308 Averaged sum = 0.4137017286818444708 logp*logq = 32.25744854383986813 -------------- ************************************* p = 173; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121608096989664.1213 -------------- Searches starting with [173,541]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(173,541) = 0.9359980657931567873 D2(173,541) = 0.04775549162157736963 C1(173,541) = 1.247468897176647810 C2(173,541) = 1.310915830986342646 C3(173,541) = 7.732208156427154828 C4(173,541) = 4328 Sum = 4365.477484323439735 Averaged sum = 0.4361552087444739469 logp*logq = 32.43182467032984686 -------------- ************************************* p = 173; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128720309295237.5605 -------------- Searches starting with [173,547]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(173,547) = 0.7169868328227009162 D2(173,547) = 0.04473720866207029019 C1(173,547) = 1.207248934195300379 C2(173,547) = 2.015168594833952736 C3(173,547) = 7.238748968456008478 C4(173,547) = 4376 Sum = 4170.733037449483561 Averaged sum = 0.4166982752971808933 logp*logq = 32.48866302146278447 -------------- ************************************* p = 173; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141316377755021.7622 -------------- Searches starting with [173,557]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(173,557) = 0.8092434612346568505 D2(173,557) = 0.00003315633252169107742 C1(173,557) = 1.075489281459473255 C2(173,557) = 1.974364521780503868 C3(173,557) = 5.832294977322261331 C4(173,557) = 4456 Sum = 4247.652258883978858 Averaged sum = 0.4243832809355558855 logp*logq = 32.58202230658110579 -------------- ************************************* p = 173; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149338502390174.7459 -------------- Searches starting with [173,563]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(173,563) = 0.5776279874994214701 D2(173,563) = 0.1261768674111082484 C1(173,563) = 0.7824074493270529735 C2(173,563) = 1.861341910018424547 C3(173,563) = 3.606952203200427822 C4(173,563) = 4504 Sum = 4393.359657926703508 Averaged sum = 0.4389409189656013096 logp*logq = 32.63723667329628557 -------------- ************************************* p = 173; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 157723673774396.0525 -------------- Searches starting with [173,569]-exponents: u = 16, v = 4 n_start has 47 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(173,569) = 1.116339946804947971 D2(173,569) = 0.09817250788298281516 C1(173,569) = 1.427750811110394328 C2(173,569) = 1.219623429476031826 C3(173,569) = 10.39153088543551193 C4(173,569) = 4552 Sum = 3639.253682301479809 Averaged sum = 0.3635981299132260774 logp*logq = 32.69186571768214199 -------------- ************************************* p = 173; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160601532723126.2328 -------------- Searches starting with [173,571]-exponents: u = 16, v = 4 n_start has 47 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(173,571) = 0.9054799218332605537 D2(173,571) = 0.1253807670255114084 C1(173,571) = 1.227174048643659374 C2(173,571) = 1.477504101400367790 C3(173,571) = 7.479143836959136272 C4(173,571) = 4568 Sum = 4889.507386392377692 Averaged sum = 0.4885110786684361766 logp*logq = 32.70994746112621780 -------------- ************************************* p = 173; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169490011386404.0024 -------------- Searches starting with [173,577]-exponents: u = 16, v = 4 n_start has 47 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(173,577) = 0.7626155306591970718 D2(173,577) = 0.07609193935294282189 C1(173,577) = 1.037198398623294938 C2(173,577) = 1.923042060529816898 C3(173,577) = 5.477383238906801776 C4(173,577) = 4616 Sum = 4442.179290432286147 Averaged sum = 0.4438184924000685530 logp*logq = 32.76381511113889723 -------------- ************************************* p = 173; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 185182292132670.8889 -------------- Searches starting with [173,587]-exponents: u = 21, v = 4 n_start has 59 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(173,587) = 0.6273392637050122731 D2(173,587) = 0.001812269055936453075 C1(173,587) = 0.8421937197020515231 C2(173,587) = 1.852307099699985467 C3(173,587) = 3.978444251524477374 C4(173,587) = 4696 Sum = 4265.849440628672687 Averaged sum = 0.4262013628363145856 logp*logq = 32.85236181873484709 -------------- ************************************* p = 173; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 195145905022019.9388 -------------- Searches starting with [173,593]-exponents: u = 26, v = 4 n_start has 70 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(173,593) = 0.6988016582168218639 D2(173,593) = 0.06217658558097822045 C1(173,593) = 0.9822010168783434891 C2(173,593) = 1.823501560963740973 C3(173,593) = 5.005072047268031138 C4(173,593) = 4744 Sum = 4086.781686961441246 Averaged sum = 0.4083106890759757464 logp*logq = 32.90476862558927595 -------------- ************************************* p = 173; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 205537134804148.3790 -------------- Searches starting with [173,599]-exponents: u = 31, v = 4 n_start has 81 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(173,599) = 0.6417476736229998152 D2(173,599) = 0.003095907029418588754 C1(173,599) = 0.8687797978106928310 C2(173,599) = 1.766425014030762549 C3(173,599) = 4.155706013545609968 C4(173,599) = 4792 Sum = 4332.364903746315385 Averaged sum = 0.4328469281393061629 logp*logq = 32.95664783818277795 -------------- ************************************* p = 173; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 209098279192120.1245 -------------- Searches starting with [173,601]-exponents: u = 36, v = 4 n_start has 92 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(173,601) = 0.7074297089612833795 D2(173,601) = 0.05879429568731961313 C1(173,601) = 0.9392326974645043146 C2(173,601) = 1.755283103661679793 C3(173,601) = 4.664587561667317883 C4(173,601) = 4808 Sum = 4137.539056744208212 Averaged sum = 0.4133818619986220613 logp*logq = 32.97382549273635136 -------------- ************************************* p = 173; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220081170722868.1565 -------------- Searches starting with [173,607]-exponents: u = 46, v = 4 n_start has 115 digits starting right neighbors generation We generated 731 left neighbors We generated 9279 right neighbors We generated 10009 non-negative rho_i D1(173,607) = 0.8866184123665721344 D2(173,607) = 0.04076785052773639511 C1(173,607) = 1.204394493925552023 C2(173,607) = 1.686346742865788945 C3(173,607) = 7.204949028852760492 C4(173,607) = 4856 Sum = 4738.607814861083427 Averaged sum = 0.4734346902648699597 logp*logq = 33.02501755206392546 -------------- ************************************* p = 173; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 231524328530889.0074 -------------- Searches starting with [173,613]-exponents: u = 66, v = 4 n_start has 159 digits starting right neighbors generation We generated 1447 left neighbors We generated 8563 right neighbors We generated 10009 non-negative rho_i D1(173,613) = 0.6011812569386120934 D2(173,613) = 0.03043926212175680180 C1(173,613) = 0.8015312661963999500 C2(173,613) = 1.598931726661654341 C3(173,613) = 3.721843993744710908 C4(173,613) = 4904 Sum = 4499.601535200511376 Averaged sum = 0.4495555535218814443 logp*logq = 33.07570607477935366 -------------- ************************************* p = 173; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239415951176042.5471 -------------- Searches starting with [173,617]-exponents: u = 91, v = 4 n_start has 215 digits starting right neighbors generation We generated 2782 left neighbors We generated 7228 right neighbors We generated 10009 non-negative rho_i D1(173,617) = 1.101211234932175116 D2(173,617) = 0.008788349951573948671 C1(173,617) = 1.496795881632015618 C2(173,617) = 1.520988940472153497 C3(173,617) = 11.63711891635816475 C4(173,617) = 4936 Sum = 5394.751530839319102 Averaged sum = 0.5389900620281066142 logp*logq = 33.10922353664078461 -------------- ************************************* p = 173; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 243442251527357.9524 -------------- Searches starting with [173,619]-exponents: u = 116, v = 4 n_start has 271 digits starting right neighbors generation We generated 4537 left neighbors We generated 5473 right neighbors We generated 10009 non-negative rho_i D1(173,619) = 0.5908596547831163879 D2(173,619) = 0.004425380773950216222 C1(173,619) = 0.7928705012821666050 C2(173,619) = 1.472640761447212217 C3(173,619) = 3.669365444670329148 C4(173,619) = 4952 Sum = 4664.597412181455550 Averaged sum = 0.4660403049436962284 logp*logq = 33.12590087027238238 -------------- ************************************* p = 173; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 268761936317794.5699 -------------- Searches starting with [173,631]-exponents: u = 5, v = 223 n_start has 636 digits --- performed 5000 steps in the continued fraction search [173,631]-exponents: u = 88, v = 138 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,631) = 0.5427153295305538278 D2(173,631) = 0.1791653332181590795 C1(173,631) = 0.7007377133106500796 C2(173,631) = 1.379025307696667570 C3(173,631) = 3.154892869392303062 C4(173,631) = 5048 Sum = 5194.735521594063515 Averaged sum = 0.5195255047098773392 logp*logq = 33.22484710858988637 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,631) = 0.5427153295305538278 D2(173,631) = 0.1791653332181590795 C1(173,631) = 0.7007377133106500796 C2(173,631) = 1.379025307696667570 C3(173,631) = 3.154892869392303062 C4(173,631) = 5048 Sum = 5194.735521594063515 Averaged sum = 0.5195255047098773392 logp*logq = 33.22484710858988637 -------------- ************************************* p = 173; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 291445859959050.7713 -------------- Searches starting with [173,641]-exponents: u = 5, v = 59 n_start has 177 digits starting right neighbors generation We generated 1828 left neighbors We generated 8182 right neighbors We generated 10009 non-negative rho_i D1(173,641) = 0.6196296591356233978 D2(173,641) = 0.02598348967332517056 C1(173,641) = 0.8556814465848460217 C2(173,641) = 1.584225211152005330 C3(173,641) = 4.067407461740104047 C4(173,641) = 5128 Sum = 3847.316085964547354 Averaged sum = 0.3843856615011037420 logp*logq = 33.30587537534083404 -------------- ************************************* p = 173; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 296162455610794.4402 -------------- Searches starting with [173,643]-exponents: u = 5, v = 51 n_start has 155 digits starting right neighbors generation We generated 1389 left neighbors We generated 8621 right neighbors We generated 10009 non-negative rho_i D1(173,643) = 0.5722000443124531877 D2(173,643) = 0.02591200082678365802 C1(173,643) = 0.7640472048913279979 C2(173,643) = 1.617635145747501424 C3(173,643) = 3.499986247837094554 C4(173,643) = 5144 Sum = 4189.538236705239332 Averaged sum = 0.4185771042766749258 logp*logq = 33.32192925621988276 -------------- ************************************* p = 173; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 305780229662063.2778 -------------- Searches starting with [173,647]-exponents: u = 5, v = 39 n_start has 121 digits starting right neighbors generation We generated 780 left neighbors We generated 9230 right neighbors We generated 10009 non-negative rho_i D1(173,647) = 0.6023250432427718249 D2(173,647) = 0.04528819376695670144 C1(173,647) = 0.8499052805451761973 C2(173,647) = 1.676939188258380861 C3(173,647) = 4.029067668457222346 C4(173,647) = 5176 Sum = 4326.180895890827834 Averaged sum = 0.4322290834140101742 logp*logq = 33.35388775613033703 -------------- ************************************* p = 173; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 320677460957518.8386 -------------- Searches starting with [173,653]-exponents: u = 5, v = 31 n_start has 99 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(173,653) = 0.6933668856256618768 D2(173,653) = 0.001736255100962075548 C1(173,653) = 0.9300163626225894179 C2(173,653) = 1.741061651723723551 C3(173,653) = 4.594628886712383037 C4(173,653) = 5224 Sum = 4238.014545316072130 Averaged sum = 0.4234203761930334829 logp*logq = 33.40145693938927613 -------------- ************************************* p = 173; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 336154177603059.1361 -------------- Searches starting with [173,659]-exponents: u = 5, v = 23 n_start has 77 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(173,659) = 0.7091638320546891118 D2(173,659) = 0.06221129540785043240 C1(173,659) = 0.9368929649400140696 C2(173,659) = 1.802971067529126011 C3(173,659) = 4.646727044163024177 C4(173,659) = 5272 Sum = 4168.357063348524180 Averaged sum = 0.4164608915324731922 logp*logq = 33.44859103256068495 -------------- ************************************* p = 173; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 341444778692276.8822 -------------- Searches starting with [173,661]-exponents: u = 5, v = 23 n_start has 77 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(173,661) = 0.6019083668284707054 D2(173,661) = 0.08469102723013960254 C1(173,661) = 0.8401121628701029483 C2(173,661) = 1.825925981793780852 C3(173,661) = 3.964888987164666348 C4(173,661) = 5288 Sum = 4148.073504168099421 Averaged sum = 0.4144343594932660027 logp*logq = 33.46420707964537109 -------------- ************************************* p = 173; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 374615945873826.3871 -------------- Searches starting with [173,673]-exponents: u = 5, v = 15 n_start has 54 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(173,673) = 0.6429856674058679263 D2(173,673) = 0.08277054193139276416 C1(173,673) = 0.9747176902910105954 C2(173,673) = 1.904283631172909503 C3(173,673) = 4.944035391629999890 C4(173,673) = 5384 Sum = 4209.200325622482905 Averaged sum = 0.4205415451715938560 logp*logq = 33.55692247276834453 -------------- ************************************* p = 173; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 386232480969452.9447 -------------- Searches starting with [173,677]-exponents: u = 5, v = 15 n_start has 54 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(173,677) = 0.8655585842650635535 D2(173,677) = 0.1187989446088668832 C1(173,677) = 1.242885148303336714 C2(173,677) = 1.941281769228199204 C3(173,677) = 7.674313201465326855 C4(173,677) = 5416 Sum = 4039.859425021032519 Averaged sum = 0.4036226820882238504 logp*logq = 33.58746058639846616 -------------- ************************************* p = 173; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 404200072942361.2841 -------------- Searches starting with [173,683]-exponents: u = 5, v = 15 n_start has 54 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(173,683) = 0.9128301380335330032 D2(173,683) = 0.1173292489557680440 C1(173,683) = 1.421173949792312399 C2(173,683) = 1.232239175568273325 C3(173,683) = 10.28007422302510004 C4(173,683) = 5464 Sum = 3027.654235901209071 Averaged sum = 0.3024931797283653782 logp*logq = 33.63293110135911462 -------------- ************************************* p = 173; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 429198656944324.4434 -------------- Searches starting with [173,691]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(173,691) = 0.6006000620272848112 D2(173,691) = 0.03772897388258247549 C1(173,691) = 0.8222616823716662359 C2(173,691) = 1.972401569352348849 C3(173,691) = 3.850525267908139124 C4(173,691) = 5528 Sum = 4165.119991521953318 Averaged sum = 0.4161374754243134497 logp*logq = 33.69294099747312304 -------------- ************************************* p = 173; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 462183824839233.2159 -------------- Searches starting with [173,701]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(173,701) = 0.8284086076363425299 D2(173,701) = 0.09029699440145991718 C1(173,701) = 1.086761502761139178 C2(173,701) = 2.027469232007895794 C3(173,701) = 5.941091724482253276 C4(173,701) = 5608 Sum = 3931.491550104076646 Averaged sum = 0.3927956389353658354 logp*logq = 33.76698381713575518 -------------- ************************************* p = 173; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 490017152918086.8842 -------------- Searches starting with [173,709]-exponents: u = 14, v = 7 n_start has 52 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(173,709) = 0.6656843065973166604 D2(173,709) = 0.09565415617994213843 C1(173,709) = 1.079271276410605135 C2(173,709) = 1.442718803908467407 C3(173,709) = 5.868573953778994405 C4(173,709) = 5672 Sum = 4394.968340648912383 Averaged sum = 0.4391016425865633313 logp*logq = 33.82546151237580571 -------------- ************************************* p = 173; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 526692311340991.5303 -------------- Searches starting with [173,719]-exponents: u = 14, v = 7 n_start has 52 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(173,719) = 0.6845332583091445264 D2(173,719) = 0.06901665149356977119 C1(173,719) = 0.9065131976980401233 C2(173,719) = 1.923714904127419392 C3(173,719) = 4.420935656771429666 C4(173,719) = 5752 Sum = 4129.907402456715226 Averaged sum = 0.4126193828011504871 logp*logq = 33.89763764451561779 -------------- ************************************* p = 173; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 557598025019137.4532 -------------- Searches starting with [173,727]-exponents: u = 23, v = 7 n_start has 72 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(173,727) = 0.6664737810745579193 D2(173,727) = 0.04372564835584525310 C1(173,727) = 0.8771336809783524712 C2(173,727) = 1.767696713084423966 C3(173,727) = 4.213019694136454843 C4(173,727) = 5816 Sum = 3980.267483057052990 Averaged sum = 0.3976688463439957029 logp*logq = 33.95465943343734408 -------------- ************************************* p = 173; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 581722992940563.1349 -------------- Searches starting with [173,733]-exponents: u = 32, v = 7 n_start has 92 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(173,733) = 0.7339581525718533623 D2(173,733) = 0.02786277315999958283 C1(173,733) = 1.081192907336558474 C2(173,733) = 1.667125435808061375 C3(173,733) = 5.887093667826761684 C4(173,733) = 5864 Sum = 3450.118769050215006 Averaged sum = 0.3447016454241397748 logp*logq = 33.99701549320963132 -------------- ************************************* p = 173; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 606682226558682.3264 -------------- Searches starting with [173,739]-exponents: u = 41, v = 7 n_start has 112 digits starting right neighbors generation We generated 618 left neighbors We generated 9392 right neighbors We generated 10009 non-negative rho_i D1(173,739) = 0.5874089955062176038 D2(173,739) = 0.01424077439502243413 C1(173,739) = 0.8009241208943671623 C2(173,739) = 1.592530170406277296 C3(173,739) = 3.718140752486798053 C4(173,739) = 5912 Sum = 4337.213192129608413 Averaged sum = 0.4333313210240392060 logp*logq = 34.03902625517602296 -------------- ************************************* p = 173; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 623795908460244.2338 -------------- Searches starting with [173,743]-exponents: u = 59, v = 7 n_start has 153 digits starting right neighbors generation We generated 957 left neighbors We generated 9053 right neighbors We generated 10009 non-negative rho_i D1(173,743) = 0.7236908868542613644 D2(173,743) = 0.005826710274394134782 C1(173,743) = 0.9686427797328443422 C2(173,743) = 1.498172713747100252 C3(173,743) = 4.895034082515388201 C4(173,743) = 5944 Sum = 4272.555383623989941 Averaged sum = 0.4268713541436696913 logp*logq = 34.06684436102374172 -------------- ************************************* p = 173; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 659190767620853.8045 -------------- Searches starting with [173,751]-exponents: u = 221, v = 7 n_start has 515 digits --- performed 5000 steps in the continued fraction search [173,751]-exponents: u = 64, v = 105 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,751) = 0.7729813531481805916 D2(173,751) = 0.2117097478408165246 C1(173,751) = 1.007766382315889852 C2(173,751) = 1.491807262644158763 C3(173,751) = 5.219333399153658553 C4(173,751) = 6008 Sum = 4983.273970562547053 Averaged sum = 0.4983772347797326785 logp*logq = 34.12203408899620318 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,751) = 0.7729813531481805916 D2(173,751) = 0.2117097478408165246 C1(173,751) = 1.007766382315889852 C2(173,751) = 1.491807262644158763 C3(173,751) = 5.219333399153658553 C4(173,751) = 6008 Sum = 4983.273970562547053 Averaged sum = 0.4983772347797326785 logp*logq = 34.12203408899620318 -------------- ************************************* p = 173; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 686784674819485.2008 -------------- Searches starting with [173,757]-exponents: u = 9, v = 192 n_start has 573 digits --- performed 5000 steps in the continued fraction search [173,757]-exponents: u = 145, v = 65 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,757) = 0.5246768404373634526 D2(173,757) = 0.2318852334384022199 C1(173,757) = 0.6870667235403973477 C2(173,757) = 1.479483771293557492 C3(173,757) = 3.084961252560880054 C4(173,757) = 6056 Sum = 5076.034534511313632 Averaged sum = 0.5076542188730186650 logp*logq = 34.16304193081165384 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,757) = 0.5246768404373634526 D2(173,757) = 0.2318852334384022199 C1(173,757) = 0.6870667235403973477 C2(173,757) = 1.479483771293557492 C3(173,757) = 3.084961252560880054 C4(173,757) = 6056 Sum = 5076.034534511313632 Averaged sum = 0.5076542188730186650 logp*logq = 34.16304193081165384 -------------- ************************************* p = 173; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 705692224434078.8837 -------------- Searches starting with [173,761]-exponents: u = 9, v = 80 n_start has 251 digits starting right neighbors generation We generated 4803 left neighbors We generated 5207 right neighbors We generated 10009 non-negative rho_i D1(173,761) = 0.6356182748445732095 D2(173,761) = 0.01916020638680540965 C1(173,761) = 0.8604836703625222455 C2(173,761) = 1.764412448329972578 C3(173,761) = 4.099560228164198037 C4(173,761) = 6088 Sum = 4295.306970112199976 Averaged sum = 0.4291444669909281622 logp*logq = 34.19020031564320024 -------------- ************************************* p = 173; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 744766183820183.8817 -------------- Searches starting with [173,769]-exponents: u = 9, v = 31 n_start has 110 digits starting right neighbors generation We generated 596 left neighbors We generated 9414 right neighbors We generated 10009 non-negative rho_i D1(173,769) = 1.108666123193803622 D2(173,769) = 0.005608782436667054204 C1(173,769) = 1.575750511967348424 C2(173,769) = 1.597284279699338847 C3(173,769) = 13.24548477847087442 C4(173,769) = 6152 Sum = 5542.046007887886835 Averaged sum = 0.5537062651501535453 logp*logq = 34.24409143782653181 -------------- ************************************* p = 173; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 764946583747286.6740 -------------- Searches starting with [173,773]-exponents: u = 9, v = 24 n_start has 90 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(173,773) = 0.6754013774135592491 D2(173,773) = 0.01188829482354180057 C1(173,773) = 0.9756042421770806603 C2(173,773) = 1.669317965428544243 C3(173,773) = 4.951227376599482568 C4(173,773) = 6184 Sum = 3928.739334435558756 Averaged sum = 0.3925206648451951999 logp*logq = 34.27082712215024807 -------------- ************************************* p = 173; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 839077829557016.5709 -------------- Searches starting with [173,787]-exponents: u = 9, v = 17 n_start has 70 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(173,787) = 0.9244066459845169954 D2(173,787) = 0.03547161050139750574 C1(173,787) = 1.414773355304001712 C2(173,787) = 1.786882562231598869 C3(173,787) = 10.17275265049257524 C4(173,787) = 6296 Sum = 2945.637275315268616 Averaged sum = 0.2942988585588239201 logp*logq = 34.36332458276205149 -------------- ************************************* p = 173; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 895490080459467.1372 -------------- Searches starting with [173,797]-exponents: u = 9, v = 10 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(173,797) = 0.7729868867195094856 D2(173,797) = 0.05677715026098952638 C1(173,797) = 1.129468682158065701 C2(173,797) = 1.953511891005069270 C3(173,797) = 6.372023770830007082 C4(173,797) = 6376 Sum = 3351.744146319101403 Averaged sum = 0.3348730289058948349 logp*logq = 34.42839226027077406 -------------- ************************************* p = 173; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 967178588842860.9224 -------------- Searches starting with [173,809]-exponents: u = 9, v = 10 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(173,809) = 0.8103885125305227269 D2(173,809) = 0.06562670883129071330 C1(173,809) = 1.063372656979438556 C2(173,809) = 1.328907965933498254 C3(173,809) = 5.717569045505994340 C4(173,809) = 6472 Sum = 4252.838974797739224 Averaged sum = 0.4249014861422459011 logp*logq = 34.50540427772485616 -------------- ************************************* p = 173; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 979563775022023.5901 -------------- Searches starting with [173,811]-exponents: u = 9, v = 10 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(173,811) = 1.091502987338304134 D2(173,811) = 0.05123559207034816598 C1(173,811) = 1.789283831893824258 C2(173,811) = 1.143050422349730184 C3(173,811) = 18.79843398728520718 C4(173,811) = 6488 Sum = 3020.639799028092854 Averaged sum = 0.3017923667727138429 logp*logq = 34.51812846096595133 -------------- ************************************* p = 173; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1043422253984637.340 -------------- Searches starting with [173,821]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(173,821) = 0.6056990364694605360 D2(173,821) = 0.04839991609520375543 C1(173,821) = 0.8524235544754704016 C2(173,821) = 2.082663765871940854 C3(173,821) = 4.045738290510718609 C4(173,821) = 6568 Sum = 3820.075918982950482 Averaged sum = 0.3816640942135028956 logp*logq = 34.58128233462429743 -------------- ************************************* p = 173; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1056587492594906.093 -------------- Searches starting with [173,823]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(173,823) = 0.7583637837169991722 D2(173,823) = 0.03968977794049686029 C1(173,823) = 1.028963972580757310 C2(173,823) = 2.074486271411136411 C3(173,823) = 5.403927571378173663 C4(173,823) = 6584 Sum = 4395.421711365003337 Averaged sum = 0.4391469388914979855 logp*logq = 34.59382076318088924 -------------- ************************************* p = 173; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1083319646325468.313 -------------- Searches starting with [173,827]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(173,827) = 0.8416224168778927761 D2(173,827) = 0.02284400859246314657 C1(173,827) = 1.163255598999726274 C2(173,827) = 2.058701875577266928 C3(173,827) = 6.734983473813685646 C4(173,827) = 6616 Sum = 4434.076164202207102 Averaged sum = 0.4430089084026583177 logp*logq = 34.61880646834330383 -------------- ************************************* p = 173; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1096888618939935.223 -------------- Searches starting with [173,829]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(173,829) = 0.7121528492231089918 D2(173,829) = 0.01468748479050312015 C1(173,829) = 0.9340300948016875972 C2(173,829) = 2.051074094276552886 C3(173,829) = 4.624966123771063964 C4(173,829) = 6632 Sum = 3940.132699542106210 Averaged sum = 0.3936589768750231002 logp*logq = 34.63125403863327564 -------------- ************************************* p = 173; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1166804074593236.976 -------------- Searches starting with [173,839]-exponents: u = 13, v = 3 n_start has 38 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(173,839) = 0.6504288863786712188 D2(173,839) = 0.1331190676082166061 C1(173,839) = 0.8931163599334247923 C2(173,839) = 1.909580911240876021 C3(173,839) = 4.324884469943780837 C4(173,839) = 6712 Sum = 4423.785448700327292 Averaged sum = 0.4419807621840670688 logp*logq = 34.69304484602540778 -------------- ************************************* p = 173; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1270676523699495.103 -------------- Searches starting with [173,853]-exponents: u = 17, v = 3 n_start has 47 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(173,853) = 0.7214795044173265578 D2(173,853) = 0.09772694568989814266 C1(173,853) = 1.016679195874478436 C2(173,853) = 2.032111605127065421 C3(173,853) = 5.296167571752941156 C4(173,853) = 6824 Sum = 4304.624773117591320 Averaged sum = 0.4300754094432601978 logp*logq = 34.77832584937550421 -------------- ************************************* p = 173; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1301683549833163.082 -------------- Searches starting with [173,857]-exponents: u = 17, v = 3 n_start has 47 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(173,857) = 0.6995915959345805733 D2(173,857) = 0.07236373737066361331 C1(173,857) = 1.014931294931467019 C2(173,857) = 2.007732143018977109 C3(173,857) = 5.281010904714694958 C4(173,857) = 6856 Sum = 3660.099196104581350 Averaged sum = 0.3656808068842622990 logp*logq = 34.80243485987251407 -------------- ************************************* p = 173; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1317414106657247.276 -------------- Searches starting with [173,859]-exponents: u = 17, v = 3 n_start has 47 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(173,859) = 0.5853491295512934904 D2(173,859) = 0.06034189110183579351 C1(173,859) = 0.8207328891615019152 C2(173,859) = 1.996200435162650665 C3(173,859) = 3.840885382413929407 C4(173,859) = 6872 Sum = 4138.393102591987511 Averaged sum = 0.4134671897883892008 logp*logq = 34.81444720003078455 -------------- ************************************* p = 173; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1349334904837727.869 -------------- Searches starting with [173,863]-exponents: u = 17, v = 3 n_start has 47 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(173,863) = 0.6310888528663855171 D2(173,863) = 0.03743860370783829521 C1(173,863) = 0.8464825355840963191 C2(173,863) = 1.974273982174771215 C3(173,863) = 4.006519649942693499 C4(173,863) = 6904 Sum = 4151.270479119791487 Averaged sum = 0.4147537695194116782 logp*logq = 34.83838820287952809 -------------- ************************************* p = 173; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1466003702346407.892 -------------- Searches starting with [173,877]-exponents: u = 21, v = 3 n_start has 56 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(173,877) = 0.5575179256315086820 D2(173,877) = 0.09705924997267395606 C1(173,877) = 0.7577959881473200796 C2(173,877) = 1.957978426667880852 C3(173,877) = 3.464295598284589035 C4(173,877) = 7016 Sum = 4315.790296561251396 Averaged sum = 0.4311909577941104402 logp*logq = 34.92131652384699549 -------------- ************************************* p = 173; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1500788851140703.942 -------------- Searches starting with [173,881]-exponents: u = 25, v = 3 n_start has 65 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(173,881) = 0.9980591388892928521 D2(173,881) = 0.06629380861826078702 C1(173,881) = 1.506451956453409636 C2(173,881) = 1.928138687780903240 C3(173,881) = 11.82282920113492163 C4(173,881) = 7048 Sum = 2436.655994671514601 Averaged sum = 0.2434464976192940954 logp*logq = 34.94476726554197797 -------------- ************************************* p = 173; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1518429146321727.585 -------------- Searches starting with [173,883]-exponents: u = 25, v = 3 n_start has 65 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(173,883) = 0.7284908836822643127 D2(173,883) = 0.05189344959423460872 C1(173,883) = 0.9742746221359300862 C2(173,883) = 1.914199594624588314 C3(173,883) = 4.940445000848966763 C4(173,883) = 7064 Sum = 4165.061827753099306 Averaged sum = 0.4161316642774602164 logp*logq = 34.95645273901734734 -------------- ************************************* p = 173; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1554211117832583.051 -------------- Searches starting with [173,887]-exponents: u = 25, v = 3 n_start has 65 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(173,887) = 0.6612598880169539637 D2(173,887) = 0.02473161946815040129 C1(173,887) = 0.9330647578799064154 C2(173,887) = 1.887957149459255847 C3(173,887) = 4.617651513835820361 C4(173,887) = 7096 Sum = 4014.941097156733601 Averaged sum = 0.4011330899347321012 logp*logq = 34.97974449208988102 -------------- ************************************* p = 173; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1743463148843452.613 -------------- Searches starting with [173,907]-exponents: u = 37, v = 3 n_start has 92 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(173,907) = 0.8380536443188224251 D2(173,907) = 0.05646226725426478035 C1(173,907) = 1.218594733684736201 C2(173,907) = 1.812588779980978098 C3(173,907) = 7.374671614838513188 C4(173,907) = 7256 Sum = 2805.088844983146007 Averaged sum = 0.2802566535101554607 logp*logq = 35.09464984551084333 -------------- ************************************* p = 173; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1783450975944908.768 -------------- Searches starting with [173,911]-exponents: u = 37, v = 3 n_start has 92 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(173,911) = 0.6277915807385976966 D2(173,911) = 0.01990917758925601912 C1(173,911) = 0.9049894420701485905 C2(173,911) = 1.776885649641348287 C3(173,911) = 4.409904159497347835 C4(173,911) = 7288 Sum = 4184.533692061577396 Averaged sum = 0.4180770998163230489 logp*logq = 35.11732663279428484 -------------- ************************************* p = 173; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1865644605358001.145 -------------- Searches starting with [173,919]-exponents: u = 45, v = 3 n_start has 110 digits starting right neighbors generation We generated 565 left neighbors We generated 9445 right neighbors We generated 10009 non-negative rho_i D1(173,919) = 0.7796397052657822713 D2(173,919) = 0.01028536036618087685 C1(173,919) = 1.037219214658661866 C2(173,919) = 1.727341262978763986 C3(173,919) = 5.477570189096772482 C4(173,919) = 7352 Sum = 4389.759828170341355 Averaged sum = 0.4385812596833191483 logp*logq = 35.16238302118890573 -------------- ************************************* p = 173; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1972651791617841.474 -------------- Searches starting with [173,929]-exponents: u = 61, v = 3 n_start has 146 digits starting right neighbors generation We generated 1049 left neighbors We generated 8961 right neighbors We generated 10009 non-negative rho_i D1(173,929) = 0.6949651963628274130 D2(173,929) = 0.003686786901384659368 C1(173,929) = 0.9721543665102431339 C2(173,929) = 1.656573346899750356 C3(173,929) = 4.923299626779337627 C4(173,929) = 7432 Sum = 3450.846562419854569 Averaged sum = 0.3447743593185987180 logp*logq = 35.21815511961317101 -------------- ************************************* p = 173; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2061772082548786.945 -------------- Searches starting with [173,937]-exponents: u = 77, v = 3 n_start has 182 digits starting right neighbors generation We generated 1527 left neighbors We generated 8483 right neighbors We generated 10009 non-negative rho_i D1(173,937) = 0.7194230897910009994 D2(173,937) = 0.009033793776744415833 C1(173,937) = 0.9878526536343705439 C2(173,937) = 1.590777771361354332 C3(173,937) = 5.051667732645063184 C4(173,937) = 7496 Sum = 4748.021324001057944 Averaged sum = 0.4743751947248534263 logp*logq = 35.26234224216973424 -------------- ************************************* p = 173; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2107533137378726.403 -------------- Searches starting with [173,941]-exponents: u = 93, v = 3 n_start has 218 digits starting right neighbors generation We generated 2275 left neighbors We generated 7735 right neighbors We generated 10009 non-negative rho_i D1(173,941) = 0.6350023923952548443 D2(173,941) = 0.004254074844024603216 C1(173,941) = 0.8334339393997282722 C2(173,941) = 1.549328760044345740 C3(173,941) = 3.921710862828607137 C4(173,941) = 7528 Sum = 4052.167323421596034 Averaged sum = 0.4048523652134674826 logp*logq = 35.28429452922956966 -------------- ************************************* p = 173; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2177706408126031.147 -------------- Searches starting with [173,947]-exponents: u = 125, v = 3 n_start has 289 digits starting right neighbors generation We generated 3969 left neighbors We generated 6041 right neighbors We generated 10009 non-negative rho_i D1(173,947) = 0.8275485136756351535 D2(173,947) = 0.001739708907804689766 C1(173,947) = 1.106752703047058030 C2(173,947) = 1.477160352783282401 C3(173,947) = 6.139057282161277124 C4(173,947) = 7576 Sum = 4812.427886757725019 Averaged sum = 0.4808100596221126006 logp*logq = 35.31704861149506770 -------------- ************************************* p = 173; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2249750743880602.531 -------------- Searches starting with [173,953]-exponents: u = 197, v = 3 n_start has 450 digits --- performed 5000 steps in the continued fraction search [173,953]-exponents: u = 0, v = 123 --- starting right neighbors generation We generated 9585 left neighbors We generated 425 right neighbors We generated 10009 non-negative rho_i D1(173,953) = 0.6660838864616558567 D2(173,953) = 0.005126197734283154960 C1(173,953) = 0.8720190248140493157 C2(173,953) = 1.384363409150083252 C3(173,953) = 4.177836316905021746 C4(173,953) = 7624 Sum = 4903.313761999146439 Averaged sum = 0.4898904747726192865 logp*logq = 35.34959582449289151 -------------- ************************************* p = 173; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2425342934350330.441 -------------- Searches starting with [173,967]-exponents: u = 4, v = 545 n_start has 1637 digits --- performed 5000 steps in the continued fraction search [173,967]-exponents: u = 471, v = 188 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,967) = 0.6483300885871742052 D2(173,967) = 0.3570986119912161100 C1(173,967) = 0.8096652226532210559 C2(173,967) = 1.447857042675755571 C3(173,967) = 3.771813678978942238 C4(173,967) = 7736 Sum = 5661.710802978412216 Averaged sum = 0.5662277030681480363 logp*logq = 35.42474932552874015 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,967) = 0.6483300885871742052 D2(173,967) = 0.3570986119912161100 C1(173,967) = 0.8096652226532210559 C2(173,967) = 1.447857042675755571 C3(173,967) = 3.771813678978942238 C4(173,967) = 7736 Sum = 5661.710802978412216 Averaged sum = 0.5662277030681480363 logp*logq = 35.42474932552874015 -------------- ************************************* p = 173; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2477489077035243.426 -------------- Searches starting with [173,971]-exponents: u = 4, v = 236 n_start has 714 digits --- performed 5000 steps in the continued fraction search [173,971]-exponents: u = 209, v = 66 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,971) = 0.8543965379579037383 D2(173,971) = 0.1785313861151438120 C1(173,971) = 1.097922241336281840 C2(173,971) = 1.411994713412702970 C3(173,971) = 6.050811851629408218 C4(173,971) = 7768 Sum = 5176.612339838909421 Averaged sum = 0.5177130052844193840 logp*logq = 35.44602197325727831 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(173,971) = 0.8543965379579037383 D2(173,971) = 0.1785313861151438120 C1(173,971) = 1.097922241336281840 C2(173,971) = 1.411994713412702970 C3(173,971) = 6.050811851629408218 C4(173,971) = 7768 Sum = 5176.612339838909421 Averaged sum = 0.5177130052844193840 logp*logq = 35.44602197325727831 -------------- ************************************* p = 173; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2557399192113917.018 -------------- Searches starting with [173,977]-exponents: u = 4, v = 125 n_start has 383 digits --- performed 5000 steps in the continued fraction search [173,977]-exponents: u = 106, v = 14 --- starting right neighbors generation We generated 6906 left neighbors We generated 3104 right neighbors We generated 10009 non-negative rho_i D1(173,977) = 0.9659217221227317850 D2(173,977) = 0.003044704195398966656 C1(173,977) = 1.273946484575033628 C2(173,977) = 1.419875135311076226 C3(173,977) = 8.075284322966942090 C4(173,977) = 7816 Sum = 4838.939360969053298 Averaged sum = 0.4834588231560648714 logp*logq = 35.47776719640422774 -------------- ************************************* p = 173; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2639373728368892.389 -------------- Searches starting with [173,983]-exponents: u = 4, v = 86 n_start has 267 digits starting right neighbors generation We generated 3364 left neighbors We generated 6646 right neighbors We generated 10009 non-negative rho_i D1(173,983) = 0.5892777587216988084 D2(173,983) = 0.003947124797017816699 C1(173,983) = 0.7914488943564888234 C2(173,983) = 1.504589079026620991 C3(173,983) = 3.660822417311522663 C4(173,983) = 7864 Sum = 4600.964860699391138 Averaged sum = 0.4596827715755211447 logp*logq = 35.50931805982412959 -------------- ************************************* p = 173; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2751954062955302.284 -------------- Searches starting with [173,991]-exponents: u = 4, v = 62 n_start has 195 digits starting right neighbors generation We generated 1823 left neighbors We generated 8187 right neighbors We generated 10009 non-negative rho_i D1(173,991) = 0.9641337263367973276 D2(173,991) = 0.009440770183486102349 C1(173,991) = 1.321881516052378443 C2(173,991) = 1.591571117021409860 C3(173,991) = 8.735577594020074033 C4(173,991) = 7928 Sum = 3964.267113687123836 Averaged sum = 0.3960702481453815402 logp*logq = 35.55108762260238639 -------------- ************************************* p = 173; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2838903000252067.532 -------------- Searches starting with [173,997]-exponents: u = 4, v = 50 n_start has 159 digits starting right neighbors generation We generated 1161 left neighbors We generated 8849 right neighbors We generated 10009 non-negative rho_i D1(173,997) = 0.8860280990171064340 D2(173,997) = 0.01997463937593638033 C1(173,997) = 1.158949485270008916 C2(173,997) = 1.646854248237881536 C3(173,997) = 6.687598883807457497 C4(173,997) = 7976 Sum = 3733.341274579387959 Averaged sum = 0.3729984288719540372 logp*logq = 35.58219410494640873 -------------- ************************************* p = 179; q = 181; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 514576316028.3633574 -------------- Searches starting with [179,181]-exponents: u = 1, v = 466 n_start has 1055 digits --- performed 5000 steps in the continued fraction search [179,181]-exponents: u = 385, v = 72 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,181) = 0.5962017285293476455 D2(179,181) = 0.1734284150278208903 C1(179,181) = 0.7558882151974613888 C2(179,181) = 1.112676207705305003 C3(179,181) = 3.470732822623652260 C4(179,181) = 1448 Sum = 5776.759760017584892 Averaged sum = 0.5777337493766961588 logp*logq = 26.96660971169364801 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,181) = 0.5962017285293476455 D2(179,181) = 0.1734284150278208903 C1(179,181) = 0.7558882151974613888 C2(179,181) = 1.112676207705305003 C3(179,181) = 3.470732822623652260 C4(179,181) = 1448 Sum = 5776.759760017584892 Averaged sum = 0.5777337493766961588 logp*logq = 26.96660971169364801 -------------- ************************************* p = 179; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 680142810864.6023664 -------------- Searches starting with [179,191]-exponents: u = 1, v = 79 n_start has 183 digits starting right neighbors generation We generated 835 left neighbors We generated 9175 right neighbors We generated 10009 non-negative rho_i D1(179,191) = 0.9300895541757253747 D2(179,191) = 0.01662385087620672234 C1(179,191) = 1.278515751364757295 C2(179,191) = 1.257781973071056062 C3(179,191) = 8.204894132839029193 C4(179,191) = 1528 Sum = 5598.775753595269340 Averaged sum = 0.5593741386347556539 logp*logq = 27.24556862904365181 -------------- ************************************* p = 179; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 717905934138.3692759 -------------- Searches starting with [179,193]-exponents: u = 1, v = 68 n_start has 158 digits starting right neighbors generation We generated 654 left neighbors We generated 9356 right neighbors We generated 10009 non-negative rho_i D1(179,193) = 0.8057628195082829184 D2(179,193) = 0.008451821888887878360 C1(179,193) = 1.117984146739337932 C2(179,193) = 1.284237823995249070 C3(179,193) = 6.299428397749646792 C4(179,193) = 1544 Sum = 5281.714848561515056 Averaged sum = 0.5276965579539929120 logp*logq = 27.29960438646260488 -------------- ************************************* p = 179; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 798512159026.8765119 -------------- Searches starting with [179,197]-exponents: u = 1, v = 54 n_start has 127 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(179,197) = 0.7640486447226940799 D2(179,197) = 0.003353412593336205793 C1(179,197) = 1.077926774258210435 C2(179,197) = 1.338452619368336666 C3(179,197) = 5.897421701146354540 C4(179,197) = 1576 Sum = 3609.569141642162693 Averaged sum = 0.3606323450536679682 logp*logq = 27.40601603182039207 -------------- ************************************* p = 179; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 841468413364.6491711 -------------- Searches starting with [179,199]-exponents: u = 1, v = 48 n_start has 113 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(179,199) = 1.067482506715786662 D2(179,199) = 0.02292456620756904208 C1(179,199) = 1.516692950503063159 C2(179,199) = 1.381294397498573505 C3(179,199) = 12.14387881672550193 C4(179,199) = 1592 Sum = 6003.298679967873069 Averaged sum = 0.5997900569455363242 logp*logq = 27.45841431376421737 -------------- ************************************* p = 179; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1140118039581.392107 -------------- Searches starting with [179,211]-exponents: u = 1, v = 31 n_start has 75 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(179,211) = 0.7447954564743828723 D2(179,211) = 0.04707854027812624491 C1(179,211) = 1.038519010970236980 C2(179,211) = 1.530476014987242783 C3(179,211) = 5.526977038844270368 C4(179,211) = 1688 Sum = 4683.782901321953940 Averaged sum = 0.4679571287163506783 logp*logq = 27.76215291646714411 -------------- ************************************* p = 179; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1519019378724.865870 -------------- Searches starting with [179,223]-exponents: u = 1, v = 23 n_start has 57 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(179,223) = 0.9483768503822666962 D2(179,223) = 0.05479316680049866612 C1(179,223) = 1.272813176337343676 C2(179,223) = 1.636834585309084059 C3(179,223) = 8.128229062487993329 C4(179,223) = 1784 Sum = 4660.824424262319015 Averaged sum = 0.4656633454153580792 logp*logq = 28.04908609701503086 -------------- ************************************* p = 179; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1665770205152.869214 -------------- Searches starting with [179,227]-exponents: u = 1, v = 21 n_start has 52 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(179,227) = 0.8652429544265704076 D2(179,227) = 0.008488903924239544431 C1(179,227) = 1.154754276914401675 C2(179,227) = 1.627402998355055953 C3(179,227) = 6.692523350466397065 C4(179,227) = 1816 Sum = 4538.299149648436079 Averaged sum = 0.4534218353130618522 logp*logq = 28.14130871807858392 -------------- ************************************* p = 179; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1743319890166.284825 -------------- Searches starting with [179,229]-exponents: u = 1, v = 21 n_start has 52 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(179,229) = 0.8947436471867594451 D2(179,229) = 0.08950959370256138369 C1(179,229) = 1.371286291149814103 C2(179,229) = 1.709751330835046402 C3(179,229) = 9.558706891614194336 C4(179,229) = 1832 Sum = 2825.047253388077944 Averaged sum = 0.2822506997090696317 logp*logq = 28.18681239412185122 -------------- ************************************* p = 179; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1907166027923.822533 -------------- Searches starting with [179,233]-exponents: u = 1, v = 19 n_start has 48 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(179,233) = 0.8677173315380713267 D2(179,233) = 0.1282836535773033819 C1(179,233) = 1.213833841508929051 C2(179,233) = 1.770278398498936531 C3(179,233) = 7.376133088294690108 C4(179,233) = 1864 Sum = 4553.412032710043244 Averaged sum = 0.4549317646827898135 logp*logq = 28.27663950111885456 -------------- ************************************* p = 179; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2176043195272.348169 -------------- Searches starting with [179,239]-exponents: u = 1, v = 17 n_start has 43 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(179,239) = 0.8988446061085387940 D2(179,239) = 0.06299904736588414755 C1(179,239) = 1.401386805595798858 C2(179,239) = 1.752206188585429897 C3(179,239) = 10.04429509985492306 C4(179,239) = 1912 Sum = 3948.689580386403735 Averaged sum = 0.3945138955326609786 logp*logq = 28.40852929549376286 -------------- ************************************* p = 179; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2272173005574.794735 -------------- Searches starting with [179,241]-exponents: u = 1, v = 17 n_start has 43 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(179,241) = 0.7320980920401689729 D2(179,241) = 0.1396096278783779851 C1(179,241) = 0.9678579956696466950 C2(179,241) = 1.830105142616365865 C3(179,241) = 4.920040412083508482 C4(179,241) = 1928 Sum = 4333.916198176965203 Averaged sum = 0.4330019180914142475 logp*logq = 28.45175776070832325 -------------- ************************************* p = 179; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2805649411318.188863 -------------- Searches starting with [179,251]-exponents: u = 1, v = 15 n_start has 39 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(179,251) = 0.8122130543745664027 D2(179,251) = 0.1271410620322858349 C1(179,251) = 1.155780910122376478 C2(179,251) = 1.876026867651422312 C3(179,251) = 6.703843775363653660 C4(179,251) = 2008 Sum = 4662.364779209535848 Averaged sum = 0.4658172424027910728 logp*logq = 28.66265614729329692 -------------- ************************************* p = 179; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3171413547025.488569 -------------- Searches starting with [179,257]-exponents: u = 1, v = 14 n_start has 36 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(179,257) = 0.8501289755029595140 D2(179,257) = 0.1099084785641063648 C1(179,257) = 1.215669146337257754 C2(179,257) = 1.892863617863673565 C3(179,257) = 7.398452547560759695 C4(179,257) = 2056 Sum = 4694.648911683191483 Averaged sum = 0.4690427526908973407 logp*logq = 28.78519851831585154 -------------- ************************************* p = 179; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3574737041261.242829 -------------- Searches starting with [179,263]-exponents: u = 1, v = 13 n_start has 34 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(179,263) = 0.8504621754296499661 D2(179,263) = 0.06263451485814129030 C1(179,263) = 1.266242762842201282 C2(179,263) = 1.883277621823585285 C3(179,263) = 8.040784566859010636 C4(179,263) = 2104 Sum = 3712.201283926410139 Averaged sum = 0.3708863306950154999 logp*logq = 28.90491273447726541 -------------- ************************************* p = 179; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4018486271714.903997 -------------- Searches starting with [179,269]-exponents: u = 1, v = 12 n_start has 32 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(179,269) = 0.6571266172297610262 D2(179,269) = 0.1414870338052380141 C1(179,269) = 0.9270770847738676891 C2(179,269) = 1.720647620863427344 C3(179,269) = 4.600578196950347581 C4(179,269) = 2152 Sum = 4434.559792175151671 Averaged sum = 0.4430572277125738506 logp*logq = 29.02192639832232828 -------------- ************************************* p = 179; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4175902648367.867851 -------------- Searches starting with [179,271]-exponents: u = 1, v = 12 n_start has 32 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(179,271) = 1.020034996676295454 D2(179,271) = 0.03411423480370653551 C1(179,271) = 1.529537014112566017 C2(179,271) = 1.898100040474268888 C3(179,271) = 12.40338628631248684 C4(179,271) = 2168 Sum = 4076.732276259903720 Averaged sum = 0.4073066516395148087 logp*logq = 29.06035165406470745 -------------- ************************************* p = 179; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4678265714697.659090 -------------- Searches starting with [179,277]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(179,277) = 0.6949515331460956909 D2(179,277) = 0.1187161982821609038 C1(179,277) = 1.140983720922877728 C2(179,277) = 1.325841329443180263 C3(179,277) = 6.542513931659837695 C4(179,277) = 2216 Sum = 4284.504673511143034 Averaged sum = 0.4280652086633173178 logp*logq = 29.17394858339612022 -------------- ************************************* p = 179; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5039464689639.699567 -------------- Searches starting with [179,281]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(179,281) = 1.232276528167451108 D2(179,281) = 0.007723487805283109519 C1(179,281) = 1.862503548841262910 C2(179,281) = 1.921775242798225984 C3(179,281) = 21.45824553589089845 C4(179,281) = 2248 Sum = 4440.299599427851287 Averaged sum = 0.4436306923196974010 logp*logq = 29.24832097999781645 -------------- ************************************* p = 179; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5228319925599.086176 -------------- Searches starting with [179,283]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(179,283) = 0.8414442353916767760 D2(179,283) = 0.04485410937810124971 C1(179,283) = 1.225061550827956216 C2(179,283) = 1.960067688912408036 C3(179,283) = 7.513736810518323656 C4(179,283) = 2264 Sum = 3699.024962754094361 Averaged sum = 0.3695698833803671057 logp*logq = 29.28511110446225649 -------------- ************************************* p = 179; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6260284621752.390359 -------------- Searches starting with [179,293]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(179,293) = 0.8269467047356404111 D2(179,293) = 0.09632887892580955748 C1(179,293) = 1.079558860682056693 C2(179,293) = 1.753013002931902799 C3(179,293) = 5.913288136746280622 C4(179,293) = 2344 Sum = 4094.405337810296247 Averaged sum = 0.4090723686492453039 logp*logq = 29.46524676674058345 -------------- ************************************* p = 179; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7975286733882.119045 -------------- Searches starting with [179,307]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(179,307) = 0.8702371342263199763 D2(179,307) = 0.07319320342304294452 C1(179,307) = 1.160989708961825493 C2(179,307) = 1.776959053408029776 C3(179,307) = 6.761575600930516923 C4(179,307) = 2456 Sum = 4484.504221505135418 Averaged sum = 0.4480471796887936275 logp*logq = 29.70736871804492537 -------------- ************************************* p = 179; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8529230660016.748389 -------------- Searches starting with [179,311]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(179,311) = 0.6482701678822724485 D2(179,311) = 0.06081452867661852110 C1(179,311) = 0.9183627745378115414 C2(179,311) = 1.622036523887264180 C3(179,311) = 4.535050561876119184 C4(179,311) = 2488 Sum = 4215.215077503010722 Averaged sum = 0.4211424795187342115 logp*logq = 29.77452028110393033 -------------- ************************************* p = 179; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8817617882194.418254 -------------- Searches starting with [179,313]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(179,313) = 0.7539975844552309743 D2(179,313) = 0.05456705749122435787 C1(179,313) = 1.044236128309226310 C2(179,313) = 1.529366907334098011 C3(179,313) = 5.579240789049136353 C4(179,313) = 2504 Sum = 4644.438391931081011 Averaged sum = 0.4640262155990689390 logp*logq = 29.80777286808485012 -------------- ************************************* p = 179; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9418013668280.231475 -------------- Searches starting with [179,317]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(179,317) = 0.8974175683016000324 D2(179,317) = 0.03953465725058158682 C1(179,317) = 1.200452606811596889 C2(179,317) = 1.230799371422166831 C3(179,317) = 7.215423886535540271 C4(179,317) = 2536 Sum = 4385.555684130153264 Averaged sum = 0.4381612233120344954 logp*logq = 29.87364531904215071 -------------- ************************************* p = 179; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11784738987793.06648 -------------- Searches starting with [179,331]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(179,331) = 0.7016859182410561011 D2(179,331) = 0.03338376466416453136 C1(179,331) = 0.9319180526683225495 C2(179,331) = 1.642604784439915344 C3(179,331) = 4.637388277519595471 C4(179,331) = 2648 Sum = 4450.438898477670584 Averaged sum = 0.4446437105083095797 logp*logq = 30.09782650423879763 -------------- ************************************* p = 179; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12935745726306.83873 -------------- Searches starting with [179,337]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(179,337) = 1.024747143797776724 D2(179,337) = 0.02222944928681357291 C1(179,337) = 1.465365416612706683 C2(179,337) = 1.429401427482785951 C3(179,337) = 11.15991479645862417 C4(179,337) = 2696 Sum = 3863.387553051952333 Averaged sum = 0.3859913630784246511 logp*logq = 30.19101558172590866 -------------- ************************************* p = 179; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15054594414529.99865 -------------- Searches starting with [179,347]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(179,347) = 0.7695619297233982854 D2(179,347) = 0.01461826780358712486 C1(179,347) = 1.088654622553310390 C2(179,347) = 1.842140998575599484 C3(179,347) = 6.002498264112961412 C4(179,347) = 2776 Sum = 3707.739757095218902 Averaged sum = 0.3704405791882524630 logp*logq = 30.34270433724893506 -------------- ************************************* p = 179; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15510168878337.93776 -------------- Searches starting with [179,349]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(179,349) = 1.280465924270768100 D2(179,349) = 0.01188927830835395737 C1(179,349) = 1.725536222223534927 C2(179,349) = 1.840546971562568506 C3(179,349) = 17.12653943653720781 C4(179,349) = 2792 Sum = 5046.627097334670769 Averaged sum = 0.5042089217039335366 logp*logq = 30.37251698140961598 -------------- ************************************* p = 179; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16454714189500.91033 -------------- Searches starting with [179,353]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(179,353) = 0.6435047956651631262 D2(179,353) = 0.006527955632981738584 C1(179,353) = 0.8761341569286395941 C2(179,353) = 1.837435747285847333 C3(179,353) = 4.230491672767357647 C4(179,353) = 2824 Sum = 4282.540861907328828 Averaged sum = 0.4278690040870545337 logp*logq = 30.43163312895397781 -------------- ************************************* p = 179; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17958111972107.69253 -------------- Searches starting with [179,359]-exponents: u = 17, v = 7 n_start has 57 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(179,359) = 0.8399832704376495170 D2(179,359) = 0.1609107548696242919 C1(179,359) = 1.145063292144600819 C2(179,359) = 1.454514460612265109 C3(179,359) = 6.586600755458695461 C4(179,359) = 2872 Sum = 4841.966122807992993 Averaged sum = 0.4837612271763405927 logp*logq = 30.51906304922922593 -------------- ************************************* p = 179; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20133178241842.75608 -------------- Searches starting with [179,367]-exponents: u = 33, v = 7 n_start has 93 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(179,367) = 0.6733697817387273085 D2(179,367) = 0.06182003297190003145 C1(179,367) = 0.9309247960693271442 C2(179,367) = 1.734266595466308146 C3(179,367) = 4.629811746918393250 C4(179,367) = 2936 Sum = 4338.806021577566209 Averaged sum = 0.4334904607430878418 logp*logq = 30.63339022895180717 -------------- ************************************* p = 179; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21900089559844.51530 -------------- Searches starting with [179,373]-exponents: u = 121, v = 7 n_start has 291 digits --- performed 5000 steps in the continued fraction search [179,373]-exponents: u = 47, v = 16 --- starting right neighbors generation We generated 7297 left neighbors We generated 2713 right neighbors We generated 10009 non-negative rho_i D1(179,373) = 0.6917527977749471909 D2(179,373) = 0.002938838918301432408 C1(179,373) = 1.112366814097672911 C2(179,373) = 1.678493807836390172 C3(179,373) = 6.241443451397072374 C4(179,373) = 2984 Sum = 4665.648587063891551 Averaged sum = 0.4661453279112690130 logp*logq = 30.71751184223325854 -------------- ************************************* p = 179; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23790109236002.67497 -------------- Searches starting with [179,379]-exponents: u = 8, v = 76 n_start has 214 digits starting right neighbors generation We generated 1787 left neighbors We generated 8223 right neighbors We generated 10009 non-negative rho_i D1(179,379) = 0.6890663641423806844 D2(179,379) = 0.002165202225911697235 C1(179,379) = 0.9381643655666017157 C2(179,379) = 1.300255317706506334 C3(179,379) = 4.685319938962184316 C4(179,379) = 3032 Sum = 4682.496215706210405 Averaged sum = 0.4678285758523539219 logp*logq = 30.80029103191016052 -------------- ************************************* p = 179; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25121678524018.77360 -------------- Searches starting with [179,383]-exponents: u = 8, v = 34 n_start has 106 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(179,383) = 0.7165491307899211880 D2(179,383) = 0.02653138737390397729 C1(179,383) = 0.9813717767264567002 C2(179,383) = 1.500129061272901860 C3(179,383) = 5.030722109616455453 C4(179,383) = 3064 Sum = 4594.911760789806663 Averaged sum = 0.4590780058736943413 logp*logq = 30.85475227551985173 -------------- ************************************* p = 179; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27231263950009.02612 -------------- Searches starting with [179,389]-exponents: u = 8, v = 20 n_start has 70 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(179,389) = 0.6783467519893436402 D2(179,389) = 0.07143893714706192226 C1(179,389) = 1.034535897809753735 C2(179,389) = 1.677970212614190989 C3(179,389) = 5.490854547071869578 C4(179,389) = 3112 Sum = 4187.950132073718336 Averaged sum = 0.4184184366144188567 logp*logq = 30.93538683909145477 -------------- ************************************* p = 179; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30264185283825.93580 -------------- Searches starting with [179,397]-exponents: u = 8, v = 13 n_start has 52 digits **************************************************** Computing .... elapsed time = 23 minutes **************************************************** starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(179,397) = 0.9006865893376667908 D2(179,397) = 0.1010994247281496190 C1(179,397) = 1.448266994542430676 C2(179,397) = 1.195284366263726957 C3(179,397) = 10.85016610430951379 C4(179,397) = 3176 Sum = 3940.871050242451793 Averaged sum = 0.3937327455532472567 logp*logq = 31.04098612549225152 -------------- ************************************* p = 179; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31879695831709.92737 -------------- Searches starting with [179,401]-exponents: u = 15, v = 6 n_start has 50 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(179,401) = 0.7396241395602127990 D2(179,401) = 0.1169158810172470739 C1(179,401) = 1.047782655528131387 C2(179,401) = 1.860340828221009768 C3(179,401) = 5.611909898017557348 C4(179,401) = 3208 Sum = 3866.226746637294570 Averaged sum = 0.3862750271393040833 logp*logq = 31.09299042876708940 -------------- ************************************* p = 179; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35319652070099.41422 -------------- Searches starting with [179,409]-exponents: u = 22, v = 6 n_start has 66 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(179,409) = 0.9332203750733793165 D2(179,409) = 0.04376555450830362385 C1(179,409) = 1.248345108851305070 C2(179,409) = 1.791093166294632463 C3(179,409) = 7.807329787107290430 C4(179,409) = 3272 Sum = 4481.856066336048222 Averaged sum = 0.4477826022915424341 logp*logq = 31.19546064082585081 -------------- ************************************* p = 179; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40034628478910.13800 -------------- Searches starting with [179,419]-exponents: u = 71, v = 6 n_start has 176 digits starting right neighbors generation We generated 2496 left neighbors We generated 7514 right neighbors We generated 10009 non-negative rho_i D1(179,419) = 0.8730021532437387453 D2(179,419) = 0.004733394886248363216 C1(179,419) = 1.210152083435660499 C2(179,419) = 1.649455931504838226 C3(179,419) = 7.331561408599030964 C4(179,419) = 3352 Sum = 4099.327067085172764 Averaged sum = 0.4095640990193998165 logp*logq = 31.32076590750275912 -------------- ************************************* p = 179; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41035874643306.66105 -------------- Searches starting with [179,421]-exponents: u = 106, v = 6 n_start has 255 digits starting right neighbors generation We generated 5249 left neighbors We generated 4761 right neighbors We generated 10009 non-negative rho_i D1(179,421) = 0.6473304998567327370 D2(179,421) = 0.002177841131968639013 C1(179,421) = 0.8758431456539212922 C2(179,421) = 1.573965825751039841 C3(179,421) = 4.228465450363968622 C4(179,421) = 3368 Sum = 4494.023585029657277 Averaged sum = 0.4489982600689037144 logp*logq = 31.34546779135128499 -------------- ************************************* p = 179; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46350027594922.91978 -------------- Searches starting with [179,431]-exponents: u = 7, v = 59 n_start has 172 digits starting right neighbors generation We generated 2254 left neighbors We generated 7756 right neighbors We generated 10009 non-negative rho_i D1(179,431) = 0.5981795280252921684 D2(179,431) = 0.02815674251003703064 C1(179,431) = 0.8307575251675487135 C2(179,431) = 1.624262761579480593 C3(179,431) = 3.925987273698860622 C4(179,431) = 3448 Sum = 4167.659352756771728 Averaged sum = 0.4163911832107874640 logp*logq = 31.46724300329995294 -------------- ************************************* p = 179; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47476630727562.23688 -------------- Searches starting with [179,433]-exponents: u = 7, v = 41 n_start has 124 digits starting right neighbors generation We generated 1191 left neighbors We generated 8819 right neighbors We generated 10009 non-negative rho_i D1(179,433) = 0.7045536857512457786 D2(179,433) = 0.01478798011734651841 C1(179,433) = 0.9939873989681490160 C2(179,433) = 1.693842421287414605 C3(179,433) = 5.136293696011908945 C4(179,433) = 3464 Sum = 4558.941063995768444 Averaged sum = 0.4554841706459954485 logp*logq = 31.49125872122206991 -------------- ************************************* p = 179; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50989757290061.01042 -------------- Searches starting with [179,439]-exponents: u = 7, v = 23 n_start has 77 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(179,439) = 0.7577949490747211688 D2(179,439) = 0.08572511725858159923 C1(179,439) = 1.004832623062542464 C2(179,439) = 1.767020532411976400 C3(179,439) = 5.228819211612329226 C4(179,439) = 3512 Sum = 4219.780227952205928 Averaged sum = 0.4215985840695579906 logp*logq = 31.56264589103254854 -------------- ************************************* p = 179; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53446236110456.38384 -------------- Searches starting with [179,443]-exponents: u = 7, v = 17 n_start has 61 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(179,443) = 0.5964523045450742058 D2(179,443) = 0.01539863677464824672 C1(179,443) = 0.8245849139949928275 C2(179,443) = 1.698844371921985138 C3(179,443) = 3.886295216836003576 C4(179,443) = 3544 Sum = 4368.761701117053518 Averaged sum = 0.4364833351101062561 logp*logq = 31.60969733203245005 -------------- ************************************* p = 179; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57309289321813.56231 -------------- Searches starting with [179,449]-exponents: u = 7, v = 11 n_start has 45 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(179,449) = 0.5768280620187602801 D2(179,449) = 0.04862296146207755975 C1(179,449) = 0.7863307079347596625 C2(179,449) = 1.858225894842855063 C3(179,449) = 3.649101966180141767 C4(179,449) = 3592 Sum = 4407.295229386034990 Averaged sum = 0.4403332230378694165 logp*logq = 31.67948384381878842 -------------- ************************************* p = 179; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62807504909645.82813 -------------- Searches starting with [179,457]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(179,457) = 0.6718377352282911934 D2(179,457) = 0.09511475357774865181 C1(179,457) = 0.9130622397238903335 C2(179,457) = 1.907854668977935038 C3(179,457) = 4.495650321109696582 C4(179,457) = 3656 Sum = 4543.139897327492772 Averaged sum = 0.4539054748054243953 logp*logq = 31.77109568719322188 -------------- ************************************* p = 179; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65711952468525.23175 -------------- Searches starting with [179,461]-exponents: u = 13, v = 5 n_start has 43 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(179,461) = 0.8183940527215992484 D2(179,461) = 0.07854613582499827935 C1(179,461) = 1.343653833279826787 C2(179,461) = 1.262191163220724548 C3(179,461) = 9.133628830886145795 C4(179,461) = 3688 Sum = 4312.982971463876479 Averaged sum = 0.4309104777164428493 logp*logq = 31.81630194981227924 -------------- ************************************* p = 179; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67204289985618.05977 -------------- Searches starting with [179,463]-exponents: u = 13, v = 5 n_start has 43 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(179,463) = 0.8921397027324691378 D2(179,463) = 0.08869573758756915082 C1(179,463) = 1.183344175928090117 C2(179,463) = 1.929623734423666269 C3(179,463) = 7.015040811249496668 C4(179,463) = 3704 Sum = 4424.960516498330841 Averaged sum = 0.4420981633028605096 logp*logq = 31.83875820049172257 -------------- ************************************* p = 179; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70271058844961.46406 -------------- Searches starting with [179,467]-exponents: u = 13, v = 5 n_start has 43 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(179,467) = 0.7274388443444361509 D2(179,467) = 0.06097954734208850587 C1(179,467) = 0.9694255845942938060 C2(179,467) = 1.903671114331931486 C3(179,467) = 4.932753522753798220 C4(179,467) = 3736 Sum = 4315.015141648577152 Averaged sum = 0.4311135120040540665 logp*logq = 31.88338114925538234 -------------- ************************************* p = 179; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80155697418712.32137 -------------- Searches starting with [179,479]-exponents: u = 19, v = 5 n_start has 57 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(179,479) = 0.5995291542137204283 D2(179,479) = 0.1168839360440284705 C1(179,479) = 0.8326274009676664089 C2(179,479) = 1.846251391696717515 C3(179,479) = 3.938091045593395326 C4(179,479) = 3832 Sum = 4136.753361218112234 Averaged sum = 0.4133033630950257003 logp*logq = 32.01499207690828956 -------------- ************************************* p = 179; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87347320349563.28198 -------------- Searches starting with [179,487]-exponents: u = 31, v = 5 n_start has 84 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(179,487) = 0.7651343844537074878 D2(179,487) = 0.02517306492208367216 C1(179,487) = 1.063651801440135461 C2(179,487) = 1.757808354355579451 C3(179,487) = 5.760448688130665528 C4(179,487) = 3896 Sum = 4405.554586062284353 Averaged sum = 0.4401593152225281599 logp*logq = 32.10091347487221310 -------------- ************************************* p = 179; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91133475834656.06763 -------------- Searches starting with [179,491]-exponents: u = 43, v = 5 n_start has 111 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(179,491) = 0.7828842770229087723 D2(179,491) = 0.04683599027130497096 C1(179,491) = 1.125542855002605481 C2(179,491) = 1.700080787339014911 C3(179,491) = 6.378304247512912529 C4(179,491) = 3928 Sum = 3301.554461269689567 Averaged sum = 0.3298585734108991474 logp*logq = 32.14334631520659337 -------------- ************************************* p = 179; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99103381460353.03780 -------------- Searches starting with [179,499]-exponents: u = 97, v = 5 n_start has 233 digits starting right neighbors generation We generated 3788 left neighbors We generated 6222 right neighbors We generated 10009 non-negative rho_i D1(179,499) = 0.6510511441257615083 D2(179,499) = 0.01321631638472572847 C1(179,499) = 0.8823024287433910030 C2(179,499) = 1.523081913366366834 C3(179,499) = 4.273668595876010935 C4(179,499) = 3992 Sum = 4660.661137234935455 Averaged sum = 0.4656470313952378315 logp*logq = 32.22718467838117835 -------------- ************************************* p = 179; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103294076976094.7396 -------------- Searches starting with [179,503]-exponents: u = 289, v = 5 n_start has 665 digits --- performed 5000 steps in the continued fraction search [179,503]-exponents: u = 138, v = 113 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,503) = 0.6643790247331596060 D2(179,503) = 0.2460277538035608042 C1(179,503) = 0.8573967159580220451 C2(179,503) = 1.399688863341731365 C3(179,503) = 4.101989442694963561 C4(179,503) = 4024 Sum = 5250.797226532536767 Averaged sum = 0.5251322358768413608 logp*logq = 32.26860115232791486 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,503) = 0.6643790247331596060 D2(179,503) = 0.2460277538035608042 C1(179,503) = 0.8573967159580220451 C2(179,503) = 1.399688863341731365 C3(179,503) = 4.101989442694963561 C4(179,503) = 4024 Sum = 5250.797226532536767 Averaged sum = 0.5251322358768413608 logp*logq = 32.26860115232791486 -------------- ************************************* p = 179; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109847304526672.6014 -------------- Searches starting with [179,509]-exponents: u = 6, v = 134 n_start has 377 digits --- performed 5000 steps in the continued fraction search [179,509]-exponents: u = 40, v = 70 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,509) = 0.5720973067606034317 D2(179,509) = 0.009436108530589075314 C1(179,509) = 0.7574414137743827482 C2(179,509) = 1.424068955201008697 C3(179,509) = 3.479618570608246275 C4(179,509) = 4072 Sum = 4894.745212536588025 Averaged sum = 0.4895234736010189044 logp*logq = 32.33011237669454855 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,509) = 0.5720973067606034317 D2(179,509) = 0.009436108530589075314 C1(179,509) = 0.7574414137743827482 C2(179,509) = 1.424068955201008697 C3(179,509) = 3.479618570608246275 C4(179,509) = 4072 Sum = 4894.745212536588025 Averaged sum = 0.4895234736010189044 logp*logq = 32.33011237669454855 -------------- ************************************* p = 179; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 123961106054276.9616 -------------- Searches starting with [179,521]-exponents: u = 6, v = 29 n_start has 93 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(179,521) = 0.8136708127747076132 D2(179,521) = 0.03745445796593669981 C1(179,521) = 1.174371823523869785 C2(179,521) = 1.727764217441339797 C3(179,521) = 6.912186247717378689 C4(179,521) = 4168 Sum = 4552.334993457513865 Averaged sum = 0.4548241576039078694 logp*logq = 32.45098897147912596 -------------- ************************************* p = 179; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126449487644573.9682 -------------- Searches starting with [179,523]-exponents: u = 6, v = 29 n_start has 93 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(179,523) = 0.6671394183129849440 D2(179,523) = 0.06223368460065749565 C1(179,523) = 0.9760590963534189791 C2(179,523) = 1.753149770021602572 C3(179,523) = 4.986915793587036303 C4(179,523) = 4184 Sum = 3903.751583713276423 Averaged sum = 0.3900241366483441326 logp*logq = 32.47086403719427305 -------------- ************************************* p = 179; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150712299992711.9968 -------------- Searches starting with [179,541]-exponents: u = 6, v = 14 n_start has 52 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(179,541) = 0.6350876684192349420 D2(179,541) = 0.1386355822012887611 C1(179,541) = 0.8398496578703067765 C2(179,541) = 1.927774722567905010 C3(179,541) = 3.985192410480425460 C4(179,541) = 4328 Sum = 4035.419150991502445 Averaged sum = 0.4031790539505947093 logp*logq = 32.64639383729279872 -------------- ************************************* p = 179; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 159586662847426.4013 -------------- Searches starting with [179,547]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(179,547) = 0.7048090074649798176 D2(179,547) = 0.1462985846538181991 C1(179,547) = 0.9703544383368461050 C2(179,547) = 1.859532489285565226 C3(179,547) = 4.940301999340682285 C4(179,547) = 4376 Sum = 4084.678645001049908 Averaged sum = 0.4081005739835198230 logp*logq = 32.70360823133353176 -------------- ************************************* p = 179; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175311442948645.0566 -------------- Searches starting with [179,557]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(179,557) = 0.8020516449614844488 D2(179,557) = 0.02195362967479465936 C1(179,557) = 1.162455400744680280 C2(179,557) = 1.959007301931372555 C3(179,557) = 6.777910072590644340 C4(179,557) = 4456 Sum = 3442.089771214369098 Averaged sum = 0.3438994676005963731 logp*logq = 32.79758518210094068 -------------- ************************************* p = 179; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 185331058551360.6442 -------------- Searches starting with [179,563]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(179,563) = 0.6827084525601689333 D2(179,563) = 0.04320349530050361525 C1(179,563) = 0.9242019188675997952 C2(179,563) = 1.982226842793743640 C3(179,563) = 4.578854266067358144 C4(179,563) = 4504 Sum = 4538.234906646179762 Averaged sum = 0.4534154167895074195 logp*logq = 32.85316484743224494 -------------- ************************************* p = 179; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 195807924560897.4957 -------------- Searches starting with [179,569]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(179,569) = 0.8342873699548368840 D2(179,569) = 0.04113530647329351698 C1(179,569) = 1.407051662798476673 C2(179,569) = 1.263313531969103671 C3(179,569) = 10.13840287865661769 C4(179,569) = 4552 Sum = 4364.176847774685141 Averaged sum = 0.4360252620416310461 logp*logq = 32.90815531793781577 -------------- ************************************* p = 179; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199404529793348.9760 -------------- Searches starting with [179,571]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(179,571) = 0.6667904466400823066 D2(179,571) = 0.03944317270814653069 C1(179,571) = 1.124562879015962457 C2(179,571) = 2.016877829634531509 C3(179,571) = 6.368022643481444876 C4(179,571) = 4568 Sum = 3968.495796883625458 Averaged sum = 0.3964927362257593623 logp*logq = 32.92635669031635552 -------------- ************************************* p = 179; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 210515569157328.8154 -------------- Searches starting with [179,577]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(179,577) = 0.6771673146888158479 D2(179,577) = 0.01344991882492798999 C1(179,577) = 0.9836386529485173109 C2(179,577) = 1.993132103613807331 C3(179,577) = 5.049530828483880353 C4(179,577) = 4616 Sum = 3761.386700294186956 Averaged sum = 0.3758004496247564148 logp*logq = 32.98058072905853024 -------------- ************************************* p = 179; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 230140995802957.6337 -------------- Searches starting with [179,587]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(179,587) = 0.6829511147956558835 D2(179,587) = 0.1239680630565371270 C1(179,587) = 0.9260432521269578886 C2(179,587) = 1.865380011910586941 C3(179,587) = 4.592755011576716006 C4(179,587) = 4696 Sum = 4450.142364048309793 Averaged sum = 0.4446140837294744523 logp*logq = 33.06971326225878403 -------------- ************************************* p = 179; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242607685800416.7001 -------------- Searches starting with [179,593]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(179,593) = 1.056218749204477112 D2(179,593) = 0.08966113935104335772 C1(179,593) = 1.683350657496987232 C2(179,593) = 1.141780388590905627 C3(179,593) = 15.97751046288239932 C4(179,593) = 4744 Sum = 2354.515639393177904 Averaged sum = 0.2352398480760493459 logp*logq = 33.12246679289469133 -------------- ************************************* p = 179; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 255613905087386.5084 -------------- Searches starting with [179,599]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(179,599) = 0.7385509747506025016 D2(179,599) = 0.09676467789313878507 C1(179,599) = 1.008747030903379744 C2(179,599) = 1.949290149264287451 C3(179,599) = 5.262622599461480791 C4(179,599) = 4792 Sum = 4548.755000824459590 Averaged sum = 0.4544664802502207602 logp*logq = 33.17468923870254485 -------------- ************************************* p = 179; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 260072236417937.4093 -------------- Searches starting with [179,601]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(179,601) = 0.7026217314704860239 D2(179,601) = 0.08037156447410567842 C1(179,601) = 1.022949390817315302 C2(179,601) = 1.933583923128176431 C3(179,601) = 5.387114210951836454 C4(179,601) = 4808 Sum = 3719.228649875360451 Averaged sum = 0.3715884353956799332 logp*logq = 33.19198054073249073 -------------- ************************************* p = 179; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 273825261482598.8822 -------------- Searches starting with [179,607]-exponents: u = 21, v = 4 n_start has 59 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(179,607) = 0.9831117144682655753 D2(179,607) = 0.03536582096900116474 C1(179,607) = 1.514698492020117771 C2(179,607) = 1.890625051607492490 C3(179,607) = 12.10407175423147245 C4(179,607) = 4856 Sum = 2496.375956216604359 Averaged sum = 0.2494131238102312277 logp*logq = 33.24351128706385480 -------------- ************************************* p = 179; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 288159472098658.5033 -------------- Searches starting with [179,613]-exponents: u = 21, v = 4 n_start has 59 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(179,613) = 0.9148877497216393926 D2(179,613) = 0.1228797508530246829 C1(179,613) = 1.265926039154714602 C2(179,613) = 1.888765156454782399 C3(179,613) = 8.036593194607684522 C4(179,613) = 4904 Sum = 4572.058618332132469 Averaged sum = 0.4567947465613080696 logp*logq = 33.29453516538150979 -------------- ************************************* p = 179; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 298047617218479.4940 -------------- Searches starting with [179,617]-exponents: u = 26, v = 4 n_start has 70 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(179,617) = 0.6544961192655685259 D2(179,617) = 0.07690485988806817474 C1(179,617) = 0.8741476395774801668 C2(179,617) = 1.844083596732017120 C3(179,617) = 4.216679444409376781 C4(179,617) = 4936 Sum = 4298.746796061617644 Averaged sum = 0.4294881402799098456 logp*logq = 33.32827437899275514 -------------- ************************************* p = 179; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 303093377331862.0164 -------------- Searches starting with [179,619]-exponents: u = 26, v = 4 n_start has 70 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(179,619) = 0.7785447301747018448 D2(179,619) = 0.05612205280046637090 C1(179,619) = 1.095548771574032636 C2(179,619) = 1.823944286083489810 C3(179,619) = 6.071010793219993497 C4(179,619) = 4952 Sum = 4403.548216920832323 Averaged sum = 0.4399588587192359199 logp*logq = 33.34506204997418969 -------------- ************************************* p = 179; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334836315286811.1446 -------------- Searches starting with [179,631]-exponents: u = 41, v = 4 n_start has 104 digits starting right neighbors generation We generated 642 left neighbors We generated 9368 right neighbors We generated 10009 non-negative rho_i D1(179,631) = 0.7727977620947553218 D2(179,631) = 0.009730280958698841360 C1(179,631) = 1.057667653539134303 C2(179,631) = 1.713674156881111041 C3(179,631) = 5.703979481459169241 C4(179,631) = 5048 Sum = 4616.401441805968932 Averaged sum = 0.4612250416431180869 logp*logq = 33.44466291726017498 -------------- ************************************* p = 179; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 363291721361157.3989 -------------- Searches starting with [179,641]-exponents: u = 76, v = 4 n_start has 183 digits starting right neighbors generation We generated 2065 left neighbors We generated 7945 right neighbors We generated 10009 non-negative rho_i D1(179,641) = 0.9470096272256908757 D2(179,641) = 0.004146110289304554920 C1(179,641) = 1.306993818099696607 C2(179,641) = 1.578957364326708854 C3(179,641) = 8.598710634963152192 C4(179,641) = 5128 Sum = 4016.363120895230070 Averaged sum = 0.4012751644415256339 logp*logq = 33.52622726756096708 -------------- ************************************* p = 179; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 369210242660179.4550 -------------- Searches starting with [179,643]-exponents: u = 86, v = 4 n_start has 205 digits starting right neighbors generation We generated 2403 left neighbors We generated 7607 right neighbors We generated 10009 non-negative rho_i D1(179,643) = 0.6069657802446407757 D2(179,643) = 0.02409739660472475590 C1(179,643) = 0.8284792735075586890 C2(179,643) = 1.541861370960166777 C3(179,643) = 3.911290334448100860 C4(179,643) = 5144 Sum = 4585.812025502812364 Averaged sum = 0.4581688505847549569 logp*logq = 33.54238736102230974 -------------- ************************************* p = 179; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 381280827111981.8104 -------------- Searches starting with [179,647]-exponents: u = 136, v = 4 n_start has 318 digits --- performed 5000 steps in the continued fraction search [179,647]-exponents: u = 34, v = 39 --- starting right neighbors generation We generated 6133 left neighbors We generated 3877 right neighbors We generated 10009 non-negative rho_i D1(179,647) = 1.015872415190118404 D2(179,647) = 0.008949587538744338416 C1(179,647) = 1.356291100179535241 C2(179,647) = 1.446993988762495423 C3(179,647) = 9.325633736316458507 C4(179,647) = 5176 Sum = 4679.204507040751379 Averaged sum = 0.4674997009731992586 logp*logq = 33.57455729857997864 -------------- ************************************* p = 179; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 399982215129027.3912 -------------- Searches starting with [179,653]-exponents: u = 606, v = 4 n_start has 1377 digits --- performed 5000 steps in the continued fraction search [179,653]-exponents: u = 287, v = 251 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,653) = 0.5828673413276259096 D2(179,653) = 0.3658170703268568181 C1(179,653) = 0.7326334725464049189 C2(179,653) = 1.431589970373518659 C3(179,653) = 3.340375105505592509 C4(179,653) = 5224 Sum = 5633.696903630471019 Averaged sum = 0.5634260329663437362 logp*logq = 33.62244119987062676 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,653) = 0.5828673413276259096 D2(179,653) = 0.3658170703268568181 C1(179,653) = 0.7326334725464049189 C2(179,653) = 1.431589970373518659 C3(179,653) = 3.340375105505592509 C4(179,653) = 5224 Sum = 5633.696903630471019 Averaged sum = 0.5634260329663437362 logp*logq = 33.62244119987062676 -------------- ************************************* p = 179; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 419417153021648.8223 -------------- Searches starting with [179,659]-exponents: u = 5, v = 199 n_start has 573 digits --- performed 5000 steps in the continued fraction search [179,659]-exponents: u = 190, v = 30 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,659) = 0.7369748921643424815 D2(179,659) = 0.1562779880646115081 C1(179,659) = 0.9568645713967048028 C2(179,659) = 1.388863216503664149 C3(179,659) = 4.831799863876995577 C4(179,659) = 5272 Sum = 5099.696990426363739 Averaged sum = 0.5100207011127476486 logp*logq = 33.66988713251484193 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,659) = 0.7369748921643424815 D2(179,659) = 0.1562779880646115081 C1(179,659) = 0.9568645713967048028 C2(179,659) = 1.388863216503664149 C3(179,659) = 4.831799863876995577 C4(179,659) = 5272 Sum = 5099.696990426363739 Averaged sum = 0.5100207011127476486 logp*logq = 33.66988713251484193 -------------- ************************************* p = 179; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 426062214716734.0912 -------------- Searches starting with [179,661]-exponents: u = 5, v = 135 n_start has 392 digits --- performed 5000 steps in the continued fraction search [179,661]-exponents: u = 88, v = 35 --- starting right neighbors generation We generated 9169 left neighbors We generated 841 right neighbors We generated 10009 non-negative rho_i D1(179,661) = 0.6590127278796851522 D2(179,661) = 0.01130895422260246717 C1(179,661) = 0.8704962789123790685 C2(179,661) = 1.402164600645788047 C3(179,661) = 4.191409098665640474 C4(179,661) = 5288 Sum = 4855.962891179675007 Averaged sum = 0.4851596454370741340 logp*logq = 33.68560649547053673 -------------- ************************************* p = 179; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 467740744800028.7387 -------------- Searches starting with [179,673]-exponents: u = 5, v = 47 n_start has 145 digits starting right neighbors generation We generated 1260 left neighbors We generated 8750 right neighbors We generated 10009 non-negative rho_i D1(179,673) = 0.9764447507921055284 D2(179,673) = 0.01125816694905326723 C1(179,673) = 1.370667329099992148 C2(179,673) = 1.648512647468272010 C3(179,673) = 9.548971971309955009 C4(179,673) = 5384 Sum = 3695.378632109621143 Averaged sum = 0.3692055781905905828 logp*logq = 33.77893529424888913 -------------- ************************************* p = 179; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 482342446793888.5898 -------------- Searches starting with [179,677]-exponents: u = 5, v = 35 n_start has 111 digits starting right neighbors generation We generated 691 left neighbors We generated 9319 right neighbors We generated 10009 non-negative rho_i D1(179,677) = 0.8883361287477435711 D2(179,677) = 0.01260963358348008894 C1(179,677) = 1.264100002587419523 C2(179,677) = 1.698083571397867139 C3(179,677) = 8.012470860080213477 C4(179,677) = 5416 Sum = 4982.865111696522886 Averaged sum = 0.4978384565587494141 logp*logq = 33.80967544824118100 -------------- ************************************* p = 179; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 504932966318679.1860 -------------- Searches starting with [179,683]-exponents: u = 5, v = 27 n_start has 88 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(179,683) = 0.8124182501095669158 D2(179,683) = 0.01246173476070471402 C1(179,683) = 1.177480263816128454 C2(179,683) = 1.758479735058549332 C3(179,683) = 6.947647992563342863 C4(179,683) = 5464 Sum = 4457.091338708671119 Averaged sum = 0.4453083563501519751 logp*logq = 33.85544679643016793 -------------- ************************************* p = 179; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 536374495364878.9284 -------------- Searches starting with [179,691]-exponents: u = 5, v = 23 n_start has 77 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(179,691) = 0.6822917833047561092 D2(179,691) = 0.09389356913410818516 C1(179,691) = 0.9165000288264541596 C2(179,691) = 1.841736828523897112 C3(179,691) = 4.521165095533035930 C4(179,691) = 5528 Sum = 4358.131546806142338 Averaged sum = 0.4354212755326348624 logp*logq = 33.91585371841458617 -------------- ************************************* p = 179; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 577879454061477.5535 -------------- Searches starting with [179,701]-exponents: u = 5, v = 15 n_start has 54 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(179,701) = 1.626739489817869484 D2(179,701) = 0.06779564417299908369 C1(179,701) = 2.469389515597559543 C2(179,701) = 1.895507747726616946 C3(179,701) = 58.27555951352313497 C4(179,701) = 5608 Sum = 6120.804787670030181 Averaged sum = 0.6115301016754950725 logp*logq = 33.99038640586282992 -------------- ************************************* p = 179; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 612917212620020.4235 -------------- Searches starting with [179,709]-exponents: u = 5, v = 15 n_start has 55 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(179,709) = 0.7801826058625965150 D2(179,709) = 0.1370120023576673338 C1(179,709) = 1.091381561735271453 C2(179,709) = 1.966580092402426735 C3(179,709) = 6.029505065373829404 C4(179,709) = 5672 Sum = 4036.320956134641833 Averaged sum = 0.4032691533754262997 logp*logq = 34.04925098992215340 -------------- ************************************* p = 179; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 659105441448802.0440 -------------- Searches starting with [179,719]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(179,719) = 0.8508759133608918790 D2(179,719) = 0.02381557869114262082 C1(179,719) = 1.141957310598174078 C2(179,719) = 1.964710404947152286 C3(179,719) = 6.553008369354652715 C4(179,719) = 5752 Sum = 4379.227052748106444 Averaged sum = 0.4375289292384959980 logp*logq = 34.12190463983055455 -------------- ************************************* p = 179; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 698044301088962.5578 -------------- Searches starting with [179,727]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(179,727) = 0.7413659664753217631 D2(179,727) = 0.06219812534894258196 C1(179,727) = 1.058361790916868305 C2(179,727) = 2.005017020838913733 C3(179,727) = 5.710501199569711614 C4(179,727) = 5816 Sum = 4232.513312073338689 Averaged sum = 0.4228707475345527714 logp*logq = 34.17930368528570263 -------------- ************************************* p = 179; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 728449903845777.5444 -------------- Searches starting with [179,733]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(179,733) = 0.6734850935244641756 D2(179,733) = 0.08618389767034994867 C1(179,733) = 0.9063013019358155367 C2(179,733) = 1.420253034054175610 C3(179,733) = 4.445890899706291106 C4(179,733) = 5864 Sum = 4101.992124416130223 Averaged sum = 0.4098303651130113121 logp*logq = 34.22193997303016088 -------------- ************************************* p = 179; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 759915742914000.7161 -------------- Searches starting with [179,739]-exponents: u = 14, v = 7 n_start has 52 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(179,739) = 0.8001234115933279277 D2(179,739) = 0.08230271254509244468 C1(179,739) = 1.050907587147465709 C2(179,739) = 1.343428379047476235 C3(179,739) = 5.640853944540615750 C4(179,739) = 5912 Sum = 4335.408176774905705 Averaged sum = 0.4331509817938760820 logp*logq = 34.26422867847615125 -------------- ************************************* p = 179; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 781495751235536.6615 -------------- Searches starting with [179,743]-exponents: u = 14, v = 7 n_start has 52 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(179,743) = 0.5750636709633438122 D2(179,743) = 0.08942211394876043101 C1(179,743) = 0.8018539018679944077 C2(179,743) = 1.948766351019400388 C3(179,743) = 3.743555567175599016 C4(179,743) = 5944 Sum = 4058.729814265472986 Averaged sum = 0.4055080242047630119 logp*logq = 34.29223082909652485 -------------- ************************************* p = 179; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 826140269373021.4521 -------------- Searches starting with [179,751]-exponents: u = 14, v = 7 n_start has 52 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(179,751) = 0.6432765464673849765 D2(179,751) = 0.06703698621539866131 C1(179,751) = 0.8527167334180020852 C2(179,751) = 1.928433775632522984 C3(179,751) = 4.070507802587156902 C4(179,751) = 6008 Sum = 4117.706907694770448 Averaged sum = 0.4114004303821331250 logp*logq = 34.34778569267502567 -------------- ************************************* p = 179; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 860956281499449.7860 -------------- Searches starting with [179,757]-exponents: u = 23, v = 7 n_start has 72 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(179,757) = 0.9253245830645924834 D2(179,757) = 0.04758386087169948217 C1(179,757) = 1.184861138687471808 C2(179,757) = 1.777420263808783293 C3(179,757) = 7.032581150432161429 C4(179,757) = 6056 Sum = 3233.370290839649304 Averaged sum = 0.3230462874252821764 logp*logq = 34.38906484264370952 -------------- ************************************* p = 179; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 884817838484571.2188 -------------- Searches starting with [179,761]-exponents: u = 23, v = 7 n_start has 72 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(179,761) = 0.7193635074876911986 D2(179,761) = 0.03819686201863108698 C1(179,761) = 1.014885550135112125 C2(179,761) = 1.768926784557978403 C3(179,761) = 5.316073193450830729 C4(179,761) = 6088 Sum = 3968.537081575851699 Averaged sum = 0.3964968609827007392 logp*logq = 34.41640290752929541 -------------- ************************************* p = 179; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 934142931220059.8414 -------------- Searches starting with [179,769]-exponents: u = 32, v = 7 n_start has 93 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(179,769) = 0.6705236132262142670 D2(179,769) = 0.01925014261227901143 C1(179,769) = 0.8893899543283472133 C2(179,769) = 1.665386763335662142 C3(179,769) = 4.323824496205268316 C4(179,769) = 6152 Sum = 4116.614073666802404 Averaged sum = 0.4112912452459588773 logp*logq = 34.47065057373415886 -------------- ************************************* p = 179; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 959624464957336.7674 -------------- Searches starting with [179,773]-exponents: u = 41, v = 7 n_start has 113 digits starting right neighbors generation We generated 618 left neighbors We generated 9392 right neighbors We generated 10009 non-negative rho_i D1(179,773) = 0.8589865657426693531 D2(179,773) = 0.01066979944238693646 C1(179,773) = 1.220462216457635198 C2(179,773) = 1.595194511813035510 C3(179,773) = 7.457060922425210856 C4(179,773) = 6184 Sum = 4760.509792715211314 Averaged sum = 0.4756229186447408646 logp*logq = 34.49756314152255332 -------------- ************************************* p = 179; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1053266377279172.755 -------------- Searches starting with [179,787]-exponents: u = 743, v = 7 n_start has 1695 digits --- performed 5000 steps in the continued fraction search [179,787]-exponents: u = 350, v = 306 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,787) = 0.5801815527734412959 D2(179,787) = 0.4404905459712611342 C1(179,787) = 0.7246613771199373797 C2(179,787) = 1.500320486321171397 C3(179,787) = 3.296822764629075332 C4(179,787) = 6296 Sum = 5708.505436356678197 Averaged sum = 0.5709076343991077305 logp*logq = 34.59067256594679743 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(179,787) = 0.5801815527734412959 D2(179,787) = 0.4404905459712611342 C1(179,787) = 0.7246613771199373797 C2(179,787) = 1.500320486321171397 C3(179,787) = 3.296822764629075332 C4(179,787) = 6296 Sum = 5708.505436356678197 Averaged sum = 0.5709076343991077305 logp*logq = 34.59067256594679743 -------------- ************************************* p = 179; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1124562798683696.109 -------------- Searches starting with [179,797]-exponents: u = 9, v = 59 n_start has 192 digits starting right neighbors generation We generated 2712 left neighbors We generated 7298 right neighbors We generated 10009 non-negative rho_i D1(179,797) = 0.7800947848393467841 D2(179,797) = 0.02719590395375106915 C1(179,797) = 1.069159864144021270 C2(179,797) = 1.779303313027918101 C3(179,797) = 5.812919301933813724 C4(179,797) = 6376 Sum = 4727.586282340248283 Averaged sum = 0.4723335280587719336 logp*logq = 34.65617073164115802 -------------- ************************************* p = 179; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1215208742062379.125 -------------- Searches starting with [179,809]-exponents: u = 9, v = 24 n_start has 91 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(179,809) = 0.5621777817967059779 D2(179,809) = 0.01194482794751237721 C1(179,809) = 0.7792934893583526879 C2(179,809) = 1.675911498897895553 C3(179,809) = 3.607071488930330722 C4(179,809) = 6472 Sum = 4137.769648382904559 Averaged sum = 0.4134049004279053411 logp*logq = 34.73369226111311854 -------------- ************************************* p = 179; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1230873688058244.177 -------------- Searches starting with [179,811]-exponents: u = 9, v = 24 n_start has 91 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(179,811) = 1.110729091271533798 D2(179,811) = 0.01485656004637730323 C1(179,811) = 1.484632005473399535 C2(179,811) = 1.679255490790004229 C3(179,811) = 11.51954958883253327 C4(179,811) = 6488 Sum = 4575.987592307790508 Averaged sum = 0.4571872906691767917 logp*logq = 34.74650062763486715 -------------- ************************************* p = 179; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1311663177149971.023 -------------- Searches starting with [179,821]-exponents: u = 9, v = 17 n_start has 70 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(179,821) = 0.6567471612138723777 D2(179,821) = 0.03128501780286242244 C1(179,821) = 1.006561331101911529 C2(179,821) = 1.788882373111763233 C3(179,821) = 5.243720844879153207 C4(179,821) = 6568 Sum = 4179.385799807061281 Averaged sum = 0.4175627734845700150 logp*logq = 34.81007232773989331 -------------- ************************************* p = 179; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1328323094762982.479 -------------- Searches starting with [179,823]-exponents: u = 9, v = 17 n_start has 70 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(179,823) = 1.288425837276388860 D2(179,823) = 0.03446386993176957161 C1(179,823) = 1.974621046744158481 C2(179,823) = 1.792495929568704256 C3(179,823) = 25.80788726091362737 C4(179,823) = 6584 Sum = 3646.805657133943482 Averaged sum = 0.3643526483298974405 logp*logq = 34.82269371062291480 -------------- ************************************* p = 179; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1362155438590586.295 -------------- Searches starting with [179,827]-exponents: u = 9, v = 10 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(179,827) = 0.6720854551218439769 D2(179,827) = 0.04421378367836009712 C1(179,827) = 0.9253023230152842096 C2(179,827) = 1.946496295573990434 C3(179,827) = 4.587156461328565968 C4(179,827) = 6616 Sum = 4032.759967866288602 Averaged sum = 0.4029133747493544412 logp*logq = 34.84784472137627833 -------------- ************************************* p = 179; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1379330518541512.000 -------------- Searches starting with [179,829]-exponents: u = 9, v = 10 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(179,829) = 0.8332429381701252869 D2(179,829) = 0.04771658032518561870 C1(179,829) = 1.172518728795681659 C2(179,829) = 1.950433687432534290 C3(179,829) = 6.891131925512476846 C4(179,829) = 6632 Sum = 4531.780217032344589 Averaged sum = 0.4527705282278294124 logp*logq = 34.86037464487378568 -------------- ************************************* p = 179; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1467848709189959.831 -------------- Searches starting with [179,839]-exponents: u = 9, v = 10 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(179,839) = 0.7101140142046868996 D2(179,839) = 0.06558733638405625795 C1(179,839) = 0.9944880640645492530 C2(179,839) = 1.970461495279226952 C3(179,839) = 5.140528824882411959 C4(179,839) = 6712 Sum = 4427.107720317925301 Averaged sum = 0.4423126906102433111 logp*logq = 34.92257426065714681 -------------- ************************************* p = 179; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1599423239233752.769 -------------- Searches starting with [179,853]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(179,853) = 0.6978378945672429291 D2(179,853) = 0.06503693067647218038 C1(179,853) = 1.145722600164311808 C2(179,853) = 1.417667235649900213 C3(179,853) = 6.593753552184283740 C4(179,853) = 6824 Sum = 4381.432712107238017 Averaged sum = 0.4377492968435645935 logp*logq = 35.00841948369061292 -------------- ************************************* p = 179; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1638713699720571.809 -------------- Searches starting with [179,857]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(179,857) = 1.012723838462938102 D2(179,857) = 0.05166455823547059706 C1(179,857) = 1.406473082402933417 C2(179,857) = 2.092763751709544868 C3(179,857) = 10.12875088726212993 C4(179,857) = 6856 Sum = 5349.096270279304176 Averaged sum = 0.5344286412508046933 logp*logq = 35.03268799956085506 -------------- ************************************* p = 179; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1658649004882891.658 -------------- Searches starting with [179,859]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(179,859) = 0.9540035092432693152 D2(179,859) = 0.04326315266054648967 C1(179,859) = 1.344158008912761031 C2(179,859) = 2.084871961531276042 C3(179,859) = 9.141212789098703135 C4(179,859) = 6872 Sum = 5046.223007747257119 Averaged sum = 0.5041685490805532140 logp*logq = 35.04477981344122522 -------------- ************************************* p = 179; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1699106993685383.659 -------------- Searches starting with [179,863]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(179,863) = 0.6109177167743429719 D2(179,863) = 0.02699922175312494977 C1(179,863) = 0.8783086993708345219 C2(179,863) = 2.069623673560592415 C3(179,863) = 4.245663112140636938 C4(179,863) = 6904 Sum = 4053.750076205202912 Averaged sum = 0.4050104981721653424 logp*logq = 35.06887921012348662 -------------- ************************************* p = 179; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1847031564177805.054 -------------- Searches starting with [179,877]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(179,877) = 0.5793105591779514995 D2(179,877) = 0.1308883987576329345 C1(179,877) = 0.7709379190153393715 C2(179,877) = 1.913917479231089387 C3(179,877) = 3.557795216249856793 C4(179,877) = 7016 Sum = 4310.849958161724291 Averaged sum = 0.4306973681848061036 logp*logq = 35.15235618541208769 -------------- ************************************* p = 179; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1891151083286934.482 -------------- Searches starting with [179,881]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(179,881) = 0.7662376042863340245 D2(179,881) = 0.1124498814745466040 C1(179,881) = 1.211514300919542050 C2(179,881) = 1.375455172322773465 C3(179,881) = 7.348021053189161493 C4(179,881) = 7048 Sum = 4169.925687292994097 Averaged sum = 0.4166176128777094712 logp*logq = 35.17596207736954550 -------------- ************************************* p = 179; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1913527633475088.848 -------------- Searches starting with [179,883]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(179,883) = 1.352911152154243138 D2(179,883) = 0.09250144636775379512 C1(179,883) = 2.139023337387769502 C2(179,883) = 1.234248466685993213 C3(179,883) = 33.82919255800664912 C4(179,883) = 7064 Sum = 4424.536295247074779 Averaged sum = 0.4420557793233164930 logp*logq = 35.18772486201487416 -------------- ************************************* p = 179; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1958921993403278.162 -------------- Searches starting with [179,887]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(179,887) = 0.7291122513828010197 D2(179,887) = 0.1168886195710351500 C1(179,887) = 0.9785387653347951664 C2(179,887) = 1.493926569605847690 C3(179,887) = 5.007314514765587577 C4(179,887) = 7096 Sum = 4427.569585785118718 Averaged sum = 0.4423588356264480685 logp*logq = 35.21117071348010335 -------------- ************************************* p = 179; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2199125731413885.543 -------------- Searches starting with [179,907]-exponents: u = 21, v = 3 n_start has 57 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(179,907) = 0.7657097043402296484 D2(179,907) = 0.01231033783491081065 C1(179,907) = 1.179743174067075515 C2(179,907) = 1.957187106029167134 C3(179,907) = 6.973578128743627617 C4(179,907) = 7256 Sum = 3831.927372110183369 Averaged sum = 0.3828481738545492425 logp*logq = 35.32683628148084152 -------------- ************************************* p = 179; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2249902098807495.907 -------------- Searches starting with [179,911]-exponents: u = 21, v = 3 n_start has 57 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(179,911) = 0.7390150817991663599 D2(179,911) = 0.1466946774971232372 C1(179,911) = 1.028358387174829859 C2(179,911) = 2.013065691335439149 C3(179,911) = 5.435297712984689524 C4(179,911) = 7288 Sum = 4008.835878155121625 Averaged sum = 0.4005231170102029798 logp*logq = 35.34966309853924218 -------------- ************************************* p = 179; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2354294684040493.874 -------------- Searches starting with [179,919]-exponents: u = 21, v = 3 n_start has 57 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(179,919) = 0.6462671060917802454 D2(179,919) = 0.08177493134958052951 C1(179,919) = 0.9768209630938796607 C2(179,919) = 1.949922281646845119 C3(179,919) = 4.993174346148820147 C4(179,919) = 7352 Sum = 4194.862535093545291 Averaged sum = 0.4191090553595309512 logp*logq = 35.39501758029809606 -------------- ************************************* p = 179; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2490247921492154.964 -------------- Searches starting with [179,929]-exponents: u = 25, v = 3 n_start has 66 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(179,929) = 0.9031124110311467472 D2(179,929) = 0.01508182729785901296 C1(179,929) = 1.239565797890488097 C2(179,929) = 1.885427836405332579 C3(179,929) = 7.695303785239113189 C4(179,929) = 7432 Sum = 4846.311275605627759 Averaged sum = 0.4841953517439931820 logp*logq = 35.45115866729516953 -------------- ************************************* p = 179; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2603513131087156.733 -------------- Searches starting with [179,937]-exponents: u = 29, v = 3 n_start has 75 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(179,937) = 0.7678872159328897756 D2(179,937) = 0.06399415628058055499 C1(179,937) = 1.074184515407548665 C2(179,937) = 1.874278604872600177 C3(179,937) = 5.861201620641632188 C4(179,937) = 7496 Sum = 4239.775794507828630 Averaged sum = 0.4235963427423147797 logp*logq = 35.49563813214742004 -------------- ************************************* p = 179; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2661684680287103.369 -------------- Searches starting with [179,941]-exponents: u = 29, v = 3 n_start has 75 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(179,941) = 0.8915384048548901385 D2(179,941) = 0.03262012094724841678 C1(179,941) = 1.311300703551923685 C2(179,941) = 1.843746231471934619 C3(179,941) = 8.659893194840542492 C4(179,941) = 7528 Sum = 4441.628799052017295 Averaged sum = 0.4437634927617161849 logp*logq = 35.51773565568393356 -------------- ************************************* p = 179; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2750905263578139.563 -------------- Searches starting with [179,947]-exponents: u = 33, v = 3 n_start has 84 digits starting right neighbors generation We generated 256 left neighbors We generated 9754 right neighbors We generated 10009 non-negative rho_i D1(179,947) = 0.6139011384584604069 D2(179,947) = 0.07161294104287473901 C1(179,947) = 0.8083083800781810739 C2(179,947) = 1.833977519812869500 C3(179,947) = 3.783545000861503485 C4(179,947) = 7576 Sum = 4191.027054971185018 Averaged sum = 0.4187258522301114016 logp*logq = 35.55070643917477996 -------------- ************************************* p = 179; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2842524568391563.100 -------------- Searches starting with [179,953]-exponents: u = 37, v = 3 n_start has 93 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(179,953) = 0.6235446581364184494 D2(179,953) = 0.01821963123114743913 C1(179,953) = 0.8999747371588544435 C2(179,953) = 1.781802624375088064 C3(179,953) = 4.399827327220395538 C4(179,953) = 7624 Sum = 4164.874750036083960 Averaged sum = 0.4161129733276135438 logp*logq = 35.58346898474950617 -------------- ************************************* p = 179; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3065906569629613.440 -------------- Searches starting with [179,967]-exponents: u = 53, v = 3 n_start has 129 digits starting right neighbors generation We generated 789 left neighbors We generated 9221 right neighbors We generated 10009 non-negative rho_i D1(179,967) = 0.5991788236054068260 D2(179,967) = 0.008361757588628094695 C1(179,967) = 0.7928259481306855435 C2(179,967) = 1.697477383738654224 C3(179,967) = 3.688329918900061859 C4(179,967) = 7736 Sum = 3923.022025405321684 Averaged sum = 0.3919494480372985997 logp*logq = 35.65911970184629276 -------------- ************************************* p = 179; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3132265969814136.478 -------------- Searches starting with [179,971]-exponents: u = 57, v = 3 n_start has 138 digits starting right neighbors generation We generated 856 left neighbors We generated 9154 right neighbors We generated 10009 non-negative rho_i D1(179,971) = 0.6217066172494499493 D2(179,971) = 0.01254006945947211142 C1(179,971) = 0.8706789015297708738 C2(179,971) = 1.671600228492909818 C3(179,971) = 4.192669388337613333 C4(179,971) = 7768 Sum = 4367.909823855850372 Averaged sum = 0.4363982239839994377 logp*logq = 35.68053308955318880 -------------- ************************************* p = 179; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3233974720701073.664 -------------- Searches starting with [179,977]-exponents: u = 69, v = 3 n_start has 165 digits starting right neighbors generation We generated 1207 left neighbors We generated 8803 right neighbors We generated 10009 non-negative rho_i D1(179,977) = 0.5749780719969297633 D2(179,977) = 0.01954446570717307337 C1(179,977) = 0.7955989558223387805 C2(179,977) = 1.628504965157632523 C3(179,977) = 3.705205664496220517 C4(179,977) = 7816 Sum = 4460.356980131641722 Averaged sum = 0.4456346268490000721 logp*logq = 35.71248833930687199 -------------- ************************************* p = 179; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3338332892966829.203 -------------- Searches starting with [179,983]-exponents: u = 85, v = 3 n_start has 201 digits starting right neighbors generation We generated 1883 left neighbors We generated 8127 right neighbors We generated 10009 non-negative rho_i D1(179,983) = 0.8197014299828105503 D2(179,983) = 0.00008048739867596918655 C1(179,983) = 1.120331981968768507 C2(179,983) = 1.568838516155442002 C3(179,983) = 6.323823284026556104 C4(179,983) = 7864 Sum = 4940.358499638132698 Averaged sum = 0.4935916175080560194 logp*logq = 35.74424794344826533 -------------- ************************************* p = 179; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3481688784649689.573 -------------- Searches starting with [179,991]-exponents: u = 129, v = 3 n_start has 300 digits starting right neighbors generation We generated 4120 left neighbors We generated 5890 right neighbors We generated 10009 non-negative rho_i D1(179,991) = 0.9182195868808808952 D2(179,991) = 0.01673703695755117103 C1(179,991) = 1.229260505169452200 C2(179,991) = 1.486585215052734572 C3(179,991) = 7.565855020543679915 C4(179,991) = 7928 Sum = 4473.839091006788008 Averaged sum = 0.4469816256376049563 logp*logq = 35.78629385393069360 -------------- ************************************* p = 179; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3592433191208882.862 -------------- Searches starting with [179,997]-exponents: u = 193, v = 3 n_start has 444 digits --- performed 5000 steps in the continued fraction search [179,997]-exponents: u = 19, v = 105 --- starting right neighbors generation We generated 8984 left neighbors We generated 1026 right neighbors We generated 10009 non-negative rho_i D1(179,997) = 0.6387435973480347224 D2(179,997) = 0.01082853391994242610 C1(179,997) = 0.8377745566265713665 C2(179,997) = 1.395621122586853799 C3(179,997) = 3.971601846509873573 C4(179,997) = 7976 Sum = 4867.246623799726633 Averaged sum = 0.4862870040763039897 logp*logq = 35.81760613696806426 -------------- ************************************* p = 181; q = 191; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 721016474220.1806242 -------------- Searches starting with [181,191]-exponents: u = 1, v = 96 n_start has 222 digits starting right neighbors generation We generated 1280 left neighbors We generated 8730 right neighbors We generated 10009 non-negative rho_i D1(181,191) = 0.6447399132300011327 D2(181,191) = 0.003921105997682547905 C1(181,191) = 0.8765342817744310180 C2(181,191) = 1.207918425917291835 C3(181,191) = 4.241226179868260954 C4(181,191) = 1528 Sum = 4999.110636353504785 Averaged sum = 0.4994615482419327390 logp*logq = 27.30392782309678703 -------------- ************************************* p = 181; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 761137090276.4217861 -------------- Searches starting with [181,193]-exponents: u = 1, v = 80 n_start has 186 digits starting right neighbors generation We generated 846 left neighbors We generated 9164 right neighbors We generated 10009 non-negative rho_i D1(181,193) = 1.117822969875575373 D2(181,193) = 0.01816935809216052588 C1(181,193) = 1.535953838661519974 C2(181,193) = 1.257698707178120413 C3(181,193) = 12.57636853575079884 C4(181,193) = 1544 Sum = 6089.281224361114080 Averaged sum = 0.6083805799141886381 logp*logq = 27.35807932349383523 -------------- ************************************* p = 181; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 846790281509.8721284 -------------- Searches starting with [181,197]-exponents: u = 1, v = 61 n_start has 143 digits starting right neighbors generation We generated 530 left neighbors We generated 9480 right neighbors We generated 10009 non-negative rho_i D1(181,197) = 0.5965950340799745841 D2(181,197) = 0.02524285655832730069 C1(181,197) = 0.8348795685438038209 C2(181,197) = 1.327555315483365885 C3(181,197) = 3.959786302680293887 C4(181,197) = 1576 Sum = 4450.886093911848940 Averaged sum = 0.4446883898403285983 logp*logq = 27.46471889941697421 -------------- ************************************* p = 181; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 892443833453.6653164 -------------- Searches starting with [181,199]-exponents: u = 1, v = 54 n_start has 127 digits starting right neighbors generation We generated 419 left neighbors We generated 9591 right neighbors We generated 10009 non-negative rho_i D1(181,199) = 0.7281770819898362489 D2(181,199) = 0.01679602911283043392 C1(181,199) = 1.026363432442963095 C2(181,199) = 1.348182922699848201 C3(181,199) = 5.429386969813432167 C4(181,199) = 1592 Sum = 4950.430147133611736 Averaged sum = 0.4945978766243992143 logp*logq = 27.51722941691534582 -------------- ************************************* p = 181; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1209972343459.809218 -------------- Searches starting with [181,211]-exponents: u = 1, v = 33 n_start has 79 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(181,211) = 0.7957932279902419214 D2(181,211) = 0.03958839625172512416 C1(181,211) = 1.164747632316138462 C2(181,211) = 1.502834053305685235 C3(181,211) = 6.820511930280384161 C4(181,211) = 1688 Sum = 4649.449042362311699 Averaged sum = 0.4645268300891509340 logp*logq = 27.82161861863119507 -------------- ************************************* p = 181; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1613079823551.473892 -------------- Searches starting with [181,223]-exponents: u = 1, v = 24 n_start has 59 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(181,223) = 0.8127553096927054216 D2(181,223) = 0.03745469331714789300 C1(181,223) = 1.223952795577408633 C2(181,223) = 1.604095367994493466 C3(181,223) = 7.519702082833091227 C4(181,223) = 1784 Sum = 4243.095737706364988 Averaged sum = 0.4239280385359541401 logp*logq = 28.10916640147980338 -------------- ************************************* p = 181; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1769267191426.220164 -------------- Searches starting with [181,227]-exponents: u = 1, v = 22 n_start has 55 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(181,227) = 0.9547589546908948475 D2(181,227) = 0.01024071661467047667 C1(181,227) = 1.449966296609648685 C2(181,227) = 1.611436862059161224 C3(181,227) = 10.91437026445482492 C4(181,227) = 1816 Sum = 4572.556241356522465 Averaged sum = 0.4568444641179460950 logp*logq = 28.20158656064256129 -------------- ************************************* p = 181; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1851815646369.012594 -------------- Searches starting with [181,229]-exponents: u = 1, v = 22 n_start has 55 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(181,229) = 1.168867805134293615 D2(181,229) = 0.09557259046494228783 C1(181,229) = 1.522888072624892817 C2(181,229) = 1.698087959264696891 C3(181,229) = 12.30840459012119609 C4(181,229) = 1832 Sum = 3973.747738385357158 Averaged sum = 0.3970174581262221159 logp*logq = 28.24718770420050947 -------------- ************************************* p = 181; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2026248598201.942551 -------------- Searches starting with [181,233]-exponents: u = 1, v = 20 n_start has 50 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(181,233) = 0.6222195428736201531 D2(181,233) = 0.01798714845986606992 C1(181,233) = 0.8412752888537101951 C2(181,233) = 1.659981893381499219 C3(181,233) = 4.001753221465499838 C4(181,233) = 1864 Sum = 4455.201399620818836 Averaged sum = 0.4451195323829372401 logp*logq = 28.33720721817715212 -------------- ************************************* p = 181; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2312567549616.767626 -------------- Searches starting with [181,239]-exponents: u = 1, v = 18 n_start has 46 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(181,239) = 0.6135726183662672886 D2(181,239) = 0.1108768947360802832 C1(181,239) = 0.8616189418635046631 C2(181,239) = 1.777495828474158523 C3(181,239) = 4.138222834485707826 C4(181,239) = 1912 Sum = 4303.242459673573382 Averaged sum = 0.4299373023952016567 logp*logq = 28.46937951655145753 -------------- ************************************* p = 181; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2414952117820.473029 -------------- Searches starting with [181,241]-exponents: u = 1, v = 18 n_start has 46 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(181,241) = 0.6698671638669798663 D2(181,241) = 0.03510005610015083688 C1(181,241) = 1.044933496583019772 C2(181,241) = 1.725595570838138717 C3(181,241) = 5.598152087807384394 C4(181,241) = 1928 Sum = 4280.807557952230313 Averaged sum = 0.4276958295486292649 logp*logq = 28.51270057584707470 -------------- ************************************* p = 181; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2983298550639.182719 -------------- Searches starting with [181,251]-exponents: u = 1, v = 15 n_start has 39 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(181,251) = 1.016245797973596208 D2(181,251) = 0.03441708580378810133 C1(181,251) = 1.342791939168301024 C2(181,251) = 1.783302891422924578 C3(181,251) = 9.146921241588536224 C4(181,251) = 2008 Sum = 4543.672345595891410 Averaged sum = 0.4539586717550096323 logp*logq = 28.72405070047560990 -------------- ************************************* p = 181; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3373107538310.324703 -------------- Searches starting with [181,257]-exponents: u = 1, v = 14 n_start has 36 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(181,257) = 0.7329615543009336609 D2(181,257) = 0.02506177327227115807 C1(181,257) = 0.9982720879818163395 C2(181,257) = 1.808016912571838358 C3(181,257) = 5.183711543062123792 C4(181,257) = 2056 Sum = 4691.111903670747113 Averaged sum = 0.4686893699341339907 logp*logq = 28.84685555359599136 -------------- ************************************* p = 181; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3803056471764.637011 -------------- Searches starting with [181,263]-exponents: u = 1, v = 13 n_start has 34 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(181,263) = 0.7813652799402523432 D2(181,263) = 0.1319858938539083949 C1(181,263) = 1.256976380288251538 C2(181,263) = 1.253246994058143269 C3(181,263) = 7.940383644561216507 C4(181,263) = 2104 Sum = 4392.434169088711929 Averaged sum = 0.4388484533009003825 logp*logq = 28.96682619403200949 -------------- ************************************* p = 181; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4276219743119.869277 -------------- Searches starting with [181,269]-exponents: u = 1, v = 13 n_start has 34 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(181,269) = 0.7041788666650496047 D2(181,269) = 0.1113588987523260520 C1(181,269) = 1.144122133689930759 C2(181,269) = 1.296373266263599155 C3(181,269) = 6.592522737353290705 C4(181,269) = 2152 Sum = 4251.644913915079937 Averaged sum = 0.4247821874228274490 logp*logq = 29.08409049764929289 -------------- ************************************* p = 181; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4444098086542.264871 -------------- Searches starting with [181,271]-exponents: u = 1, v = 12 n_start has 32 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(181,271) = 0.6997258855276490468 D2(181,271) = 0.1320102617209053411 C1(181,271) = 1.136778476640075941 C2(181,271) = 1.321124865348236597 C3(181,271) = 6.513200915935943877 C4(181,271) = 2168 Sum = 4345.471134585535004 Averaged sum = 0.4341563727231027079 logp*logq = 29.12259805914153336 -------------- ************************************* p = 181; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4979936768030.712332 -------------- Searches starting with [181,277]-exponents: u = 1, v = 12 n_start has 32 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(181,277) = 0.6010752321426545136 D2(181,277) = 0.09410782777295417906 C1(181,277) = 0.8083923504738794404 C2(181,277) = 1.961639518353776122 C3(181,277) = 3.790619021899751326 C4(181,277) = 2216 Sum = 4527.429774891107862 Averaged sum = 0.4523358752014294997 logp*logq = 29.23643830970191197 -------------- ************************************* p = 181; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5365281765095.725553 -------------- Searches starting with [181,281]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(181,281) = 0.9438208611996646189 D2(181,281) = 0.1242009805807181616 C1(181,281) = 1.258195866415587531 C2(181,281) = 1.739765597215147085 C3(181,281) = 7.956361169667633958 C4(181,281) = 2248 Sum = 4534.774470076814881 Averaged sum = 0.4530696842918188511 logp*logq = 29.31097000975528395 -------------- ************************************* p = 181; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5566785743861.673496 -------------- Searches starting with [181,283]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(181,283) = 0.6102762556229364961 D2(181,283) = 0.1200406998077842008 C1(181,283) = 0.8282488475520076956 C2(181,283) = 1.736887879264165860 C3(181,283) = 3.916741982275078928 C4(181,283) = 2264 Sum = 4404.177258066229779 Averaged sum = 0.4400217062709790967 logp*logq = 29.34783893756723683 -------------- ************************************* p = 181; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6668129121973.074687 -------------- Searches starting with [181,293]-exponents: u = 1, v = 10 n_start has 27 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(181,293) = 0.7000798142723866454 D2(181,293) = 0.1024553100732564389 C1(181,293) = 0.9830913782970210296 C2(181,293) = 1.758740146471289922 C3(181,293) = 5.055606847304596685 C4(181,293) = 2344 Sum = 4583.203323561727242 Averaged sum = 0.4579082149627062886 logp*logq = 29.52836044505268434 -------------- ************************************* p = 181; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8499266778434.318264 -------------- Searches starting with [181,307]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(181,307) = 0.6856345322343705797 D2(181,307) = 0.07903584674079724932 C1(181,307) = 0.9563793549963283315 C2(181,307) = 1.782379087994837756 C3(181,307) = 4.837831621845653890 C4(181,307) = 2456 Sum = 3930.960106444837676 Averaged sum = 0.3927425423563630408 logp*logq = 29.77100101434342540 -------------- ************************************* p = 181; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9090912590238.019778 -------------- Searches starting with [181,311]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(181,311) = 0.8137454428952176571 D2(181,311) = 0.07219982465673962230 C1(181,311) = 1.151596122193333691 C2(181,311) = 1.777973798066271544 C3(181,311) = 6.674244292620718779 C4(181,311) = 2488 Sum = 4602.781932919487337 Averaged sum = 0.4598643154080814604 logp*logq = 29.83829641404437712 -------------- ************************************* p = 181; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9398960623032.983946 -------------- Searches starting with [181,313]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(181,313) = 0.9929677592043579351 D2(181,313) = 0.06301007388077790164 C1(181,313) = 1.530581737500120153 C2(181,313) = 1.624942581497079735 C3(181,313) = 12.46549381060948330 C4(181,313) = 2504 Sum = 3395.155100738934096 Averaged sum = 0.3392102208751058144 logp*logq = 29.87162022707320254 -------------- ************************************* p = 181; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10040356874732.97092 -------------- Searches starting with [181,317]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(181,317) = 0.5955860739799004378 D2(181,317) = 0.05384716786999631754 C1(181,317) = 0.8032597047260712558 C2(181,317) = 1.530440437743503723 C3(181,317) = 3.758683785634112686 C4(181,317) = 2536 Sum = 4489.983618239273306 Averaged sum = 0.4485946266599333906 logp*logq = 29.93763377485254100 -------------- ************************************* p = 181; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12569509916816.56285 -------------- Searches starting with [181,331]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(181,331) = 0.5951174007286041298 D2(181,331) = 0.04202243808135952049 C1(181,331) = 0.8485299056815600778 C2(181,331) = 1.805033728135037613 C3(181,331) = 4.049894615615993849 C4(181,331) = 2648 Sum = 4307.632010138360113 Averaged sum = 0.4303758627373723762 logp*logq = 30.16229514945055745 -------------- ************************************* p = 181; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13799918953748.13966 -------------- Searches starting with [181,337]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(181,337) = 0.9575590412439309250 D2(181,337) = 0.03033380823540039051 C1(181,337) = 1.298120737780029254 C2(181,337) = 1.642423485841620006 C3(181,337) = 8.497590885991751776 C4(181,337) = 2696 Sum = 4647.371876175276561 Averaged sum = 0.4643193002473050815 logp*logq = 30.25568383515766010 -------------- ************************************* p = 181; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16065536499103.10230 -------------- Searches starting with [181,347]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(181,347) = 1.250456836294666694 D2(181,347) = 0.01269533043332489622 C1(181,347) = 2.188556198326058435 C2(181,347) = 0.9845892956568253269 C3(181,347) = 36.87557466824436462 C4(181,347) = 2776 Sum = 3249.786015862721765 Averaged sum = 0.3246863838408154426 logp*logq = 30.40769750346337698 -------------- ************************************* p = 181; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16552760566073.28962 -------------- Searches starting with [181,349]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(181,349) = 0.7766603260288229551 D2(181,349) = 0.01717295365305095652 C1(181,349) = 1.050632880689973421 C2(181,349) = 1.845342182869775014 C3(181,349) = 5.650992820634490801 C4(181,349) = 2792 Sum = 4276.090806473532205 Averaged sum = 0.4272245785266792092 logp*logq = 30.43757400541720945 -------------- ************************************* p = 181; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17563021876756.78482 -------------- Searches starting with [181,353]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(181,353) = 0.5888439511716484630 D2(181,353) = 0.01174894541062166157 C1(181,353) = 0.8109882334349445693 C2(181,353) = 1.842168208018699212 C3(181,353) = 3.806873735726559502 C4(181,353) = 2824 Sum = 4406.158680925414408 Averaged sum = 0.4402196703891911687 logp*logq = 30.49681677798354046 -------------- ************************************* p = 181; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19171270966163.69017 -------------- Searches starting with [181,359]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(181,359) = 0.9886432628153290814 D2(181,359) = 0.003848949567016470565 C1(181,359) = 1.299541479571030657 C2(181,359) = 1.837594823896127435 C3(181,359) = 8.517514778743859669 C4(181,359) = 2872 Sum = 3905.410918923763572 Averaged sum = 0.3901899209635091990 logp*logq = 30.58443397053608487 -------------- ************************************* p = 181; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21498537718629.14449 -------------- Searches starting with [181,367]-exponents: u = 17, v = 7 n_start has 57 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(181,367) = 0.6350517077281559925 D2(181,367) = 0.1146320882421558827 C1(181,367) = 0.9602929571735958037 C2(181,367) = 1.786553363274298624 C3(181,367) = 4.869141659726130645 C4(181,367) = 2936 Sum = 4369.087344102925211 Averaged sum = 0.4365158701271780609 logp*logq = 30.69900603566215391 -------------- ************************************* p = 181; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23389488662800.88131 -------------- Searches starting with [181,373]-exponents: u = 41, v = 7 n_start has 111 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(181,373) = 0.6041183232772890316 D2(181,373) = 0.04748534437634537552 C1(181,373) = 0.8722726048213767879 C2(181,373) = 1.722514571490161324 C3(181,373) = 4.211536739181550983 C4(181,373) = 2984 Sum = 4182.709149009235353 Averaged sum = 0.4178948095723084577 logp*logq = 30.78330783492615518 -------------- ************************************* p = 181; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25412551848448.25023 -------------- Searches starting with [181,379]-exponents: u = 233, v = 7 n_start has 545 digits --- performed 5000 steps in the continued fraction search [181,379]-exponents: u = 69, v = 128 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,379) = 0.6872085575299844189 D2(181,379) = 0.2316843894475584513 C1(181,379) = 0.8950173395292864691 C2(181,379) = 1.393586613773824273 C3(181,379) = 4.372431800503365896 C4(181,379) = 3032 Sum = 5170.883917196049495 Averaged sum = 0.5171401057301779673 logp*logq = 30.86626433515435048 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,379) = 0.6872085575299844189 D2(181,379) = 0.2316843894475584513 C1(181,379) = 0.8950173395292864691 C2(181,379) = 1.393586613773824273 C3(181,379) = 4.372431800503365896 C4(181,379) = 3032 Sum = 5170.883917196049495 Averaged sum = 0.5171401057301779673 logp*logq = 30.86626433515435048 -------------- ************************************* p = 181; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26838062358528.61398 -------------- Searches starting with [181,383]-exponents: u = 8, v = 104 n_start has 287 digits --- performed 5000 steps in the continued fraction search [181,383]-exponents: u = 46, v = 13 --- starting right neighbors generation We generated 6958 left neighbors We generated 3052 right neighbors We generated 10009 non-negative rho_i D1(181,383) = 0.6415821502705291546 D2(181,383) = 0.01637276091949365362 C1(181,383) = 0.9896852891957301843 C2(181,383) = 1.619738277098654332 C3(181,383) = 5.110856977584314522 C4(181,383) = 3064 Sum = 4706.349662727265182 Averaged sum = 0.4702117756746193608 logp*logq = 30.92084223312084615 -------------- ************************************* p = 181; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29096805676643.72886 -------------- Searches starting with [181,389]-exponents: u = 8, v = 27 n_start has 88 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(181,389) = 0.7316166774074559700 D2(181,389) = 0.03392724643687803487 C1(181,389) = 1.060797614100602160 C2(181,389) = 1.565072217566247530 C3(181,389) = 5.746474217883917370 C4(181,389) = 3112 Sum = 4225.612101850603049 Averaged sum = 0.4221812470627038714 logp*logq = 31.00164951351869478 -------------- ************************************* p = 181; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32344819677507.03494 -------------- Searches starting with [181,397]-exponents: u = 8, v = 13 n_start has 52 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(181,397) = 0.5540807057019726259 D2(181,397) = 0.1001471236367844984 C1(181,397) = 0.7762548210975515136 C2(181,397) = 1.821637766782862232 C3(181,397) = 3.595038898186089439 C4(181,397) = 3176 Sum = 4441.823502086889250 Averaged sum = 0.4437829455576870067 logp*logq = 31.10747499043622633 -------------- ************************************* p = 181; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34075190543296.05791 -------------- Searches starting with [181,401]-exponents: u = 8, v = 13 n_start has 52 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(181,401) = 0.6554774475618582716 D2(181,401) = 0.1265414637268907781 C1(181,401) = 1.054567374682288610 C2(181,401) = 1.396658757909311091 C3(181,401) = 5.687761437676079903 C4(181,401) = 3208 Sum = 4455.297589582050842 Averaged sum = 0.4451291427297483107 logp*logq = 31.15959068537507151 -------------- ************************************* p = 181; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37760337136414.83831 -------------- Searches starting with [181,409]-exponents: u = 15, v = 6 n_start has 50 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(181,409) = 0.7735658867468929140 D2(181,409) = 0.08902379165205020981 C1(181,409) = 1.086287610483218700 C2(181,409) = 1.835780564513026066 C3(181,409) = 5.993067719273294923 C4(181,409) = 3272 Sum = 4572.612985992730954 Averaged sum = 0.4568501334791418677 logp*logq = 31.26228038556680691 -------------- ************************************* p = 181; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42812620749851.10866 -------------- Searches starting with [181,419]-exponents: u = 36, v = 6 n_start has 98 digits starting right neighbors generation We generated 751 left neighbors We generated 9259 right neighbors We generated 10009 non-negative rho_i D1(181,419) = 0.6800045972748707842 D2(181,419) = 0.006972830997779437716 C1(181,419) = 0.9927973834115121690 C2(181,419) = 1.758499491026204934 C3(181,419) = 5.137142430440894880 C4(181,419) = 3352 Sum = 3843.822180462308516 Averaged sum = 0.3840365851196231907 logp*logq = 31.38785405238149329 -------------- ************************************* p = 181; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43885665080223.76787 -------------- Searches starting with [181,421]-exponents: u = 43, v = 6 n_start has 113 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(181,421) = 0.7440624797541964668 D2(181,421) = 0.05025116299553376528 C1(181,421) = 0.9937223138473676349 C2(181,421) = 1.695323038320120492 C3(181,421) = 5.144980631002572381 C4(181,421) = 3368 Sum = 4244.968875002497318 Averaged sum = 0.4241151838347984132 logp*logq = 31.41260884692726398 -------------- ************************************* p = 181; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49581797565716.11558 -------------- Searches starting with [181,431]-exponents: u = 7, v = 725 n_start has 1926 digits --- performed 5000 steps in the continued fraction search [181,431]-exponents: u = 314, v = 456 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,431) = 1.073115113016748587 D2(181,431) = 0.5042743180643589507 C1(181,431) = 1.335541521187761048 C2(181,431) = 1.475564119513259527 C3(181,431) = 9.038253674141684483 C4(181,431) = 3448 Sum = 5893.152004908619497 Averaged sum = 0.5893741379046524149 logp*logq = 31.53464489774194107 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,431) = 1.073115113016748587 D2(181,431) = 0.5042743180643589507 C1(181,431) = 1.335541521187761048 C2(181,431) = 1.475564119513259527 C3(181,431) = 9.038253674141684483 C4(181,431) = 3448 Sum = 5893.152004908619497 Averaged sum = 0.5893741379046524149 logp*logq = 31.53464489774194107 -------------- ************************************* p = 181; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50789566045627.58349 -------------- Searches starting with [181,433]-exponents: u = 7, v = 143 n_start has 393 digits --- performed 5000 steps in the continued fraction search [181,433]-exponents: u = 89, v = 39 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,433) = 0.5484411849206501353 D2(181,433) = 0.07578187910035936364 C1(181,433) = 0.7522799695216777281 C2(181,433) = 1.406900306568458856 C3(181,433) = 3.455735781330892899 C4(181,433) = 3464 Sum = 4955.145958435245015 Averaged sum = 0.4955641522587503765 logp*logq = 31.55871205661438742 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,433) = 0.5484411849206501353 D2(181,433) = 0.07578187910035936364 C1(181,433) = 0.7522799695216777281 C2(181,433) = 1.406900306568458856 C3(181,433) = 3.455735781330892899 C4(181,433) = 3464 Sum = 4955.145958435245015 Averaged sum = 0.4955641522587503765 logp*logq = 31.55871205661438742 -------------- ************************************* p = 181; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54556181268981.13066 -------------- Searches starting with [181,439]-exponents: u = 7, v = 41 n_start has 125 digits starting right neighbors generation We generated 1191 left neighbors We generated 8819 right neighbors We generated 10009 non-negative rho_i D1(181,439) = 0.7446906445822980129 D2(181,439) = 0.01775364549711778993 C1(181,439) = 1.009545388038346330 C2(181,439) = 1.698869455279110826 C3(181,439) = 5.280938765227749360 C4(181,439) = 3512 Sum = 4566.875042547368375 Averaged sum = 0.4562768550851601933 logp*logq = 31.63025213560993744 -------------- ************************************* p = 181; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57190239371250.17473 -------------- Searches starting with [181,443]-exponents: u = 7, v = 29 n_start has 93 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(181,443) = 0.7777945413384144765 D2(181,443) = 0.06329416360340122131 C1(181,443) = 1.025487176792937265 C2(181,443) = 1.745886782191536986 C3(181,443) = 5.421550461421283827 C4(181,443) = 3544 Sum = 4138.648857281926477 Averaged sum = 0.4134927422601585051 logp*logq = 31.67740435939081808 -------------- ************************************* p = 181; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61333073705659.12594 -------------- Searches starting with [181,449]-exponents: u = 7, v = 17 n_start has 61 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(181,449) = 0.8152015908411104857 D2(181,449) = 0.01564773242232820981 C1(181,449) = 1.095395954583070688 C2(181,449) = 1.701110849352726527 C3(181,449) = 6.083726006058271622 C4(181,449) = 3592 Sum = 4399.265103901715038 Averaged sum = 0.4395309325508757157 logp*logq = 31.74734035180055916 -------------- ************************************* p = 181; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67230519864515.70949 -------------- Searches starting with [181,457]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(181,457) = 0.5659051470859473104 D2(181,457) = 0.05947831051024698835 C1(181,457) = 0.7753232169789898831 C2(181,457) = 1.871929297869553679 C3(181,457) = 3.589522492942454748 C4(181,457) = 3656 Sum = 4365.337084491198540 Averaged sum = 0.4361411813858725687 logp*logq = 31.83914842500663410 -------------- ************************************* p = 181; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70346315065075.08689 -------------- Searches starting with [181,461]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(181,461) = 0.5527343286473090058 D2(181,461) = 0.08235680778299204209 C1(181,461) = 0.7485053212607535953 C2(181,461) = 1.896355401347299077 C3(181,461) = 3.434300893813683542 C4(181,461) = 3688 Sum = 4416.776247254717597 Averaged sum = 0.4412804723004013985 logp*logq = 31.88445151808970278 -------------- ************************************* p = 181; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71947360931416.35015 -------------- Searches starting with [181,463]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(181,463) = 0.6393930885054306848 D2(181,463) = 0.09425867400397971446 C1(181,463) = 1.050455582270986818 C2(181,463) = 1.909025935065046518 C3(181,463) = 5.649341540555366270 C4(181,463) = 3704 Sum = 4469.833314362631328 Averaged sum = 0.4465814081689111128 logp*logq = 31.90695586938723013 -------------- ************************************* p = 181; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75237763811096.65347 -------------- Searches starting with [181,467]-exponents: u = 13, v = 5 n_start has 43 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(181,467) = 0.8355235218853141348 D2(181,467) = 0.07703083124346380545 C1(181,467) = 1.372474292049576298 C2(181,467) = 1.251457177290023019 C3(181,467) = 9.605586276540084667 C4(181,467) = 3736 Sum = 4289.307817926732645 Averaged sum = 0.4285450912105837392 logp*logq = 31.95167439917404922 -------------- ************************************* p = 181; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85845238052330.23639 -------------- Searches starting with [181,479]-exponents: u = 13, v = 5 n_start has 43 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(181,479) = 0.8073608578992242440 D2(181,479) = 0.02412219310551408279 C1(181,479) = 1.259379046396997739 C2(181,479) = 1.871379768171663594 C3(181,479) = 7.971893744724492863 C4(181,479) = 3832 Sum = 4001.019721021463710 Averaged sum = 0.3997422041184397752 logp*logq = 32.08356723350216606 -------------- ************************************* p = 181; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93564548519589.46663 -------------- Searches starting with [181,487]-exponents: u = 19, v = 5 n_start has 57 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(181,487) = 0.9696793910500582203 D2(181,487) = 0.09578410518130927446 C1(181,487) = 1.466257699059131665 C2(181,487) = 1.827805354239981976 C3(181,487) = 11.21143843048619389 C4(181,487) = 3896 Sum = 4183.798869532679245 Averaged sum = 0.4180036836379937302 logp*logq = 32.16967267253366153 -------------- ************************************* p = 181; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97629068963583.52960 -------------- Searches starting with [181,491]-exponents: u = 25, v = 5 n_start has 70 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(181,491) = 0.6019454003438267840 D2(181,491) = 0.05023052026763621394 C1(181,491) = 0.8909129054027318336 C2(181,491) = 1.783865002787758281 C3(181,491) = 4.342949415755217287 C4(181,491) = 3928 Sum = 4316.612946557872005 Averaged sum = 0.4312731488218475377 logp*logq = 32.21219640274437419 -------------- ************************************* p = 181; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106186101501521.4919 -------------- Searches starting with [181,499]-exponents: u = 43, v = 5 n_start has 111 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(181,499) = 0.8395477626546351034 D2(181,499) = 0.02595996819475336583 C1(181,499) = 1.195139267735291204 C2(181,499) = 1.681700109986222827 C3(181,499) = 7.170900063272429908 C4(181,499) = 3992 Sum = 4848.363733868777407 Averaged sum = 0.4844004130151640930 logp*logq = 32.29621434518824215 -------------- ************************************* p = 181; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110686116471709.4823 -------------- Searches starting with [181,503]-exponents: u = 67, v = 5 n_start has 165 digits starting right neighbors generation We generated 1918 left neighbors We generated 8092 right neighbors We generated 10009 non-negative rho_i D1(181,503) = 0.5962601920024807676 D2(181,503) = 0.009025100332148400734 C1(181,503) = 0.7951530015446019356 C2(181,503) = 1.605922819315150925 C3(181,503) = 3.708791181432770470 C4(181,503) = 4024 Sum = 4502.592387662933883 Averaged sum = 0.4498543698334432893 logp*logq = 32.33771953198487227 -------------- ************************************* p = 181; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117723822696825.3663 -------------- Searches starting with [181,509]-exponents: u = 211, v = 5 n_start has 490 digits --- performed 5000 steps in the continued fraction search [181,509]-exponents: u = 39, v = 123 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,509) = 0.5295451220998312555 D2(181,509) = 0.1329808877660951005 C1(181,509) = 0.7031796371486749322 C2(181,509) = 1.375327602192635594 C3(181,509) = 3.187063318598333445 C4(181,509) = 4072 Sum = 5063.377250845777825 Averaged sum = 0.5063883639209698795 logp*logq = 32.39936251155647649 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,509) = 0.5295451220998312555 D2(181,509) = 0.1329808877660951005 C1(181,509) = 0.7031796371486749322 C2(181,509) = 1.375327602192635594 C3(181,509) = 3.187063318598333445 C4(181,509) = 4072 Sum = 5063.377250845777825 Averaged sum = 0.5063883639209698795 logp*logq = 32.39936251155647649 -------------- ************************************* p = 181; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132884044817453.9464 -------------- Searches starting with [181,521]-exponents: u = 6, v = 59 n_start has 174 digits starting right neighbors generation We generated 2058 left neighbors We generated 7952 right neighbors We generated 10009 non-negative rho_i D1(181,521) = 0.9322041677486424697 D2(181,521) = 0.02931865894454462725 C1(181,521) = 1.292686529242675757 C2(181,521) = 1.600790069503127431 C3(181,521) = 8.421812903287732417 C4(181,521) = 4168 Sum = 4031.498841207160909 Averaged sum = 0.4027873754827815875 logp*logq = 32.52049802039594339 -------------- ************************************* p = 181; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 135557315293413.5523 -------------- Searches starting with [181,523]-exponents: u = 6, v = 44 n_start has 134 digits starting right neighbors generation We generated 1177 left neighbors We generated 8833 right neighbors We generated 10009 non-negative rho_i D1(181,523) = 0.8389204243919815453 D2(181,523) = 0.02401413443491232321 C1(181,523) = 1.178059157660768342 C2(181,523) = 1.647788491009811117 C3(181,523) = 6.971823732859404352 C4(181,523) = 4184 Sum = 4980.954658149790687 Averaged sum = 0.4976475829902878097 logp*logq = 32.54041565790809281 -------------- ************************************* p = 181; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161628472481571.5212 -------------- Searches starting with [181,541]-exponents: u = 6, v = 14 n_start has 52 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(181,541) = 0.9716119325382931141 D2(181,541) = 0.06999947768777927597 C1(181,541) = 1.482400795486371191 C2(181,541) = 1.858941573827313923 C3(181,541) = 11.51377718252344255 C4(181,541) = 4328 Sum = 3972.732909955581373 Averaged sum = 0.3969160665356760288 logp*logq = 32.71632143759454817 -------------- ************************************* p = 181; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 171166585624234.4366 -------------- Searches starting with [181,547]-exponents: u = 6, v = 14 n_start has 52 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(181,547) = 0.9223338441576718780 D2(181,547) = 0.1245978226496249818 C1(181,547) = 1.298374999810512556 C2(181,547) = 1.915387934498893013 C3(181,547) = 8.501153123943201241 C4(181,547) = 4376 Sum = 4960.255186112189274 Averaged sum = 0.4955794970638614520 logp*logq = 32.77365838315805972 -------------- ************************************* p = 181; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 188070240704167.9045 -------------- Searches starting with [181,557]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(181,557) = 1.094655426813058657 D2(181,557) = 0.1316975513127373620 C1(181,557) = 1.568665581282815523 C2(181,557) = 1.847786420099239589 C3(181,557) = 13.27311526070875576 C4(181,557) = 4456 Sum = 5108.274319896075975 Averaged sum = 0.5103681006989785168 logp*logq = 32.86783662974648927 -------------- ************************************* p = 181; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 198842733652319.2278 -------------- Searches starting with [181,563]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(181,563) = 0.5904022479304950905 D2(181,563) = 0.01584154352761209162 C1(181,563) = 0.8218581893363685991 C2(181,563) = 1.954540935919347499 C3(181,563) = 3.875698927152806660 C4(181,563) = 4504 Sum = 4205.410294543383185 Averaged sum = 0.4201628828597645304 logp*logq = 32.92353534506051329 -------------- ************************************* p = 181; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 210108168790405.4177 -------------- Searches starting with [181,569]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(181,569) = 0.9894140550104436373 D2(181,569) = 0.03655219699233748606 C1(181,569) = 1.370767859779182491 C2(181,569) = 1.977200050698439086 C3(181,569) = 9.578605349909734569 C4(181,569) = 4552 Sum = 5354.209952785332938 Averaged sum = 0.5349395496838178577 logp*logq = 32.97864360351108913 -------------- ************************************* p = 181; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 213975783361615.8809 -------------- Searches starting with [181,571]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(181,571) = 0.7012416050295772048 D2(181,571) = 0.04363023833708926685 C1(181,571) = 1.183492004301324932 C2(181,571) = 1.984922917677926589 C3(181,571) = 7.034539177588204668 C4(181,571) = 4568 Sum = 4426.222264206944766 Averaged sum = 0.4422242246185377926 logp*logq = 32.99688396268550512 -------------- ************************************* p = 181; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 225924987796023.6156 -------------- Searches starting with [181,577]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(181,577) = 0.8094310972755644144 D2(181,577) = 0.04158090549790371522 C1(181,577) = 1.365853051899272391 C2(181,577) = 1.276093885131757846 C3(181,577) = 9.501318537376878280 C4(181,577) = 4616 Sum = 4289.376130092302130 Averaged sum = 0.4285519162845740963 logp*logq = 33.05122414769874448 -------------- ************************************* p = 181; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247034124805825.2000 -------------- Searches starting with [181,587]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(181,587) = 0.6246193695880406027 D2(181,587) = 0.004242823746437619169 C1(181,587) = 0.8712717419670266883 C2(181,587) = 1.986891304304504418 C3(181,587) = 4.204594308533024054 C4(181,587) = 4696 Sum = 4225.204216589327118 Averaged sum = 0.4221404952132407951 logp*logq = 33.14054760012231505 -------------- ************************************* p = 181; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 260445339842425.6488 -------------- Searches starting with [181,593]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(181,593) = 0.7622711194962825022 D2(181,593) = 0.1153812124639181179 C1(181,593) = 1.028063677975535755 C2(181,593) = 1.858236463151833410 C3(181,593) = 5.444624891895939922 C4(181,593) = 4744 Sum = 4386.769056348195842 Averaged sum = 0.4382824514285339037 logp*logq = 33.19341412724485421 -------------- ************************************* p = 181; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 274438534005885.1858 -------------- Searches starting with [181,599]-exponents: u = 11, v = 4 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(181,599) = 0.9452433928930622720 D2(181,599) = 0.1167266100240699325 C1(181,599) = 1.248279747971136417 C2(181,599) = 1.367261552820011410 C3(181,599) = 7.827368138397938449 C4(181,599) = 4792 Sum = 4449.998181297154266 Averaged sum = 0.4445996784191382021 logp*logq = 33.24574843197150383 -------------- ************************************* p = 181; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 279235540132476.0551 -------------- Searches starting with [181,601]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(181,601) = 1.164945212799794944 D2(181,601) = 0.08889694279487322384 C1(181,601) = 1.857532686152568781 C2(181,601) = 1.142407218990438553 C3(181,601) = 21.36812488998403795 C4(181,601) = 4808 Sum = 2509.793171756082460 Averaged sum = 0.2507536389005977081 logp*logq = 33.26307677145382725 -------------- ************************************* p = 181; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294034403492888.7983 -------------- Searches starting with [181,607]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(181,607) = 0.8251655576077316798 D2(181,607) = 0.09829789519394397658 C1(181,607) = 1.099237764442226260 C2(181,607) = 1.952861479605615693 C3(181,607) = 6.122374800857481949 C4(181,607) = 4856 Sum = 4372.998405139755283 Averaged sum = 0.4369066245518788373 logp*logq = 33.31471789510437301 -------------- ************************************* p = 181; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 309460342279967.1268 -------------- Searches starting with [181,613]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(181,613) = 0.6187722635794783676 D2(181,613) = 0.05169764634341925515 C1(181,613) = 0.8314528555419129216 C2(181,613) = 1.908287234023008398 C3(181,613) = 3.937482542405348990 C4(181,613) = 4904 Sum = 4353.661453296369283 Averaged sum = 0.4349746681283214390 logp*logq = 33.36585106504506682 -------------- ************************************* p = 181; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 320102555733274.7197 -------------- Searches starting with [181,617]-exponents: u = 21, v = 4 n_start has 59 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(181,617) = 0.6148196063488335543 D2(181,617) = 0.02371042105448634529 C1(181,617) = 0.9476960884294616349 C2(181,617) = 1.881639563408596703 C3(181,617) = 4.769079818441182008 C4(181,617) = 4936 Sum = 4091.280760726786174 Averaged sum = 0.4087601918999686456 logp*logq = 33.39966254704392218 -------------- ************************************* p = 181; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 325533397732647.0862 -------------- Searches starting with [181,619]-exponents: u = 21, v = 4 n_start has 59 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(181,619) = 0.6738611067188306711 D2(181,619) = 0.01046616288238820391 C1(181,619) = 0.9079587365509975369 C2(181,619) = 1.869061791793745849 C3(181,619) = 4.466707389156269777 C4(181,619) = 4952 Sum = 4392.731234352106175 Averaged sum = 0.4388781331154067514 logp*logq = 33.41648617671507412 -------------- ************************************* p = 181; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 359703208341597.0622 -------------- Searches starting with [181,631]-exponents: u = 31, v = 4 n_start has 82 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(181,631) = 0.9310047825925163300 D2(181,631) = 0.02312591972400191293 C1(181,631) = 1.215056527185999740 C2(181,631) = 1.794101898047913152 C3(181,631) = 7.410235221492427104 C4(181,631) = 5048 Sum = 3872.064015932807371 Averaged sum = 0.3868582291870124259 logp*logq = 33.51630038608325061 -------------- ************************************* p = 181; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 390340068174480.0302 -------------- Searches starting with [181,641]-exponents: u = 46, v = 4 n_start has 116 digits starting right neighbors generation We generated 731 left neighbors We generated 9279 right neighbors We generated 10009 non-negative rho_i D1(181,641) = 1.223843385634284133 D2(181,641) = 0.05429140817910686541 C1(181,641) = 1.750752532665792012 C2(181,641) = 1.707646303236604445 C3(181,641) = 17.91945809425696916 C4(181,641) = 5128 Sum = 3571.741697482482291 Averaged sum = 0.3568530020464064632 logp*logq = 33.59803944478568524 -------------- ************************************* p = 181; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 396712975965983.5681 -------------- Searches starting with [181,643]-exponents: u = 46, v = 4 n_start has 116 digits starting right neighbors generation We generated 731 left neighbors We generated 9279 right neighbors We generated 10009 non-negative rho_i D1(181,643) = 0.8005378179576660185 D2(181,643) = 0.02604832004325001380 C1(181,643) = 1.136157130083499532 C2(181,643) = 1.679989098892225082 C3(181,643) = 6.506533453621285911 C4(181,643) = 5144 Sum = 4755.002447543139407 Averaged sum = 0.4750726793429053258 logp*logq = 33.61423415268444587 -------------- ************************************* p = 181; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 409710937827389.7195 -------------- Searches starting with [181,647]-exponents: u = 61, v = 4 n_start has 149 digits starting right neighbors generation We generated 1318 left neighbors We generated 8692 right neighbors We generated 10009 non-negative rho_i D1(181,647) = 0.5709038309990596026 D2(181,647) = 0.01456868781930713197 C1(181,647) = 0.7998236477746098189 C2(181,647) = 1.626557422948218855 C3(181,647) = 3.737455182908317646 C4(181,647) = 5176 Sum = 4184.849909037199777 Averaged sum = 0.4181086930799480244 logp*logq = 33.64647299728729950 -------------- ************************************* p = 181; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 429850875998654.8562 -------------- Searches starting with [181,653]-exponents: u = 96, v = 4 n_start has 228 digits starting right neighbors generation We generated 3181 left neighbors We generated 6829 right neighbors We generated 10009 non-negative rho_i D1(181,653) = 0.5870930098407383992 D2(181,653) = 0.002014342011868879401 C1(181,653) = 0.7991158881669626349 C2(181,653) = 1.521937040503977952 C3(181,653) = 3.733097425592223430 C4(181,653) = 5224 Sum = 4198.664096085410265 Averaged sum = 0.4194888696258777365 logp*logq = 33.69445946446400013 -------------- ************************************* p = 181; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 450782927077686.5711 -------------- Searches starting with [181,659]-exponents: u = 216, v = 4 n_start has 499 digits --- performed 5000 steps in the continued fraction search [181,659]-exponents: u = 100, v = 72 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,659) = 0.5569055651382603957 D2(181,659) = 0.1036467135187417833 C1(181,659) = 0.7276848451928273797 C2(181,659) = 1.379790548689911138 C3(181,659) = 3.318435848036965399 C4(181,659) = 5272 Sum = 5018.138775258478376 Averaged sum = 0.5018640639322410616 logp*logq = 33.74200702487851127 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,659) = 0.5569055651382603957 D2(181,659) = 0.1036467135187417833 C1(181,659) = 0.7276848451928273797 C2(181,659) = 1.379790548689911138 C3(181,659) = 3.318435848036965399 C4(181,659) = 5272 Sum = 5018.138775258478376 Averaged sum = 0.5018640639322410616 logp*logq = 33.74200702487851127 -------------- ************************************* p = 181; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 457940353138711.6956 -------------- Searches starting with [181,661]-exponents: u = 371, v = 4 n_start has 849 digits --- performed 5000 steps in the continued fraction search [181,661]-exponents: u = 59, v = 240 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,661) = 0.7923104555774637726 D2(181,661) = 0.2695093843506420544 C1(181,661) = 1.013063637496831129 C2(181,661) = 1.414391649311585997 C3(181,661) = 5.311653889144770992 C4(181,661) = 5288 Sum = 5345.784616608860164 Averaged sum = 0.5346319248533713535 logp*logq = 33.75776005824004760 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,661) = 0.7923104555774637726 D2(181,661) = 0.2695093843506420544 C1(181,661) = 1.013063637496831129 C2(181,661) = 1.414391649311585997 C3(181,661) = 5.311653889144770992 C4(181,661) = 5288 Sum = 5345.784616608860164 Averaged sum = 0.5346319248533713535 logp*logq = 33.75776005824004760 -------------- ************************************* p = 181; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 502837797838183.9599 -------------- Searches starting with [181,673]-exponents: u = 5, v = 95 n_start has 280 digits starting right neighbors generation We generated 4674 left neighbors We generated 5336 right neighbors We generated 10009 non-negative rho_i D1(181,673) = 0.8136593068180399326 D2(181,673) = 0.01178135561915512696 C1(181,673) = 1.094299397240604299 C2(181,673) = 1.480978108896599075 C3(181,673) = 6.072739410538737263 C4(181,673) = 5384 Sum = 4495.960566733869433 Averaged sum = 0.4491917840677259899 logp*logq = 33.85128876451722335 -------------- ************************************* p = 181; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 518569286289290.0630 -------------- Searches starting with [181,677]-exponents: u = 5, v = 63 n_start has 190 digits starting right neighbors generation We generated 1977 left neighbors We generated 8033 right neighbors We generated 10009 non-negative rho_i D1(181,677) = 0.7530343697969024273 D2(181,677) = 0.02898538650811881627 C1(181,677) = 1.033181119855549434 C2(181,677) = 1.566181799658185698 C3(181,677) = 5.490746929561281001 C4(181,677) = 5416 Sum = 4822.976945679589126 Averaged sum = 0.4818640169527014812 logp*logq = 33.88209476300101711 -------------- ************************************* p = 181; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 542909715396693.8933 -------------- Searches starting with [181,683]-exponents: u = 5, v = 43 n_start has 134 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(181,683) = 0.5879131767235879758 D2(181,683) = 0.01799386792449497580 C1(181,683) = 0.8255806887174367965 C2(181,683) = 1.657356560174387853 C3(181,683) = 3.899553539273020983 C4(181,683) = 5464 Sum = 4313.589839055614709 Averaged sum = 0.4309711099066454899 logp*logq = 33.92796415205042445 -------------- ************************************* p = 181; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 576790633973310.0390 -------------- Searches starting with [181,691]-exponents: u = 5, v = 31 n_start has 100 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(181,691) = 0.6294740669221483151 D2(181,691) = 0.06579729787823040210 C1(181,691) = 0.8454622340670198718 C2(181,691) = 1.754287812655408906 C3(181,691) = 4.029467380035794117 C4(181,691) = 5528 Sum = 4340.271162483417808 Averaged sum = 0.4336368430895611757 logp*logq = 33.98850046385710110 -------------- ************************************* p = 181; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 621522232208323.0451 -------------- Searches starting with [181,701]-exponents: u = 5, v = 23 n_start has 77 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(181,701) = 0.5975552158444901367 D2(181,701) = 0.09617332520559757879 C1(181,701) = 0.8901004670758700185 C2(181,701) = 1.846154565290957953 C3(181,701) = 4.337137236675914920 C4(181,701) = 5608 Sum = 4106.201495895718587 Averaged sum = 0.4102509237581894881 logp*logq = 34.06319279809522528 -------------- ************************************* p = 181; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 659289244456913.0473 -------------- Searches starting with [181,709]-exponents: u = 5, v = 19 n_start has 66 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(181,709) = 0.7171140103083931624 D2(181,709) = 0.05262035887976742528 C1(181,709) = 0.9619342444025593268 C2(181,709) = 1.882035688266166402 C3(181,709) = 4.882332704567731744 C4(181,709) = 5672 Sum = 4180.261248281059948 Averaged sum = 0.4176502396124547855 logp*logq = 34.12218346833504833 -------------- ************************************* p = 181; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 709082318069216.9911 -------------- Searches starting with [181,719]-exponents: u = 5, v = 15 n_start has 55 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(181,719) = 0.8270180890332401786 D2(181,719) = 0.1360321308289963742 C1(181,719) = 1.157327526333500691 C2(181,719) = 1.967737877756265579 C3(181,719) = 6.737597823311331565 C4(181,719) = 5752 Sum = 4111.294616064373224 Averaged sum = 0.4107597778064115520 logp*logq = 34.19499274019105505 -------------- ************************************* p = 181; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 751066064616222.2829 -------------- Searches starting with [181,727]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(181,727) = 0.7034375061196692091 D2(181,727) = 0.01326555138752085899 C1(181,727) = 0.9505999411982887003 C2(181,727) = 1.955861153681655924 C3(181,727) = 4.791962324405500531 C4(181,727) = 5816 Sum = 4436.918766482090644 Averaged sum = 0.4432929130264852277 logp*logq = 34.25251473268679493 -------------- ************************************* p = 181; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 783852786311688.8462 -------------- Searches starting with [181,733]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(181,733) = 0.7176497084328734612 D2(181,733) = 0.04069338233896775384 C1(181,733) = 1.055987451102901532 C2(181,733) = 1.984718034227471951 C3(181,733) = 5.701091005603735933 C4(181,733) = 5864 Sum = 3641.034887471450929 Averaged sum = 0.3637760902659057777 logp*logq = 34.29524234608586007 -------------- ************************************* p = 181; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 817785859392361.5934 -------------- Searches starting with [181,739]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(181,739) = 0.6894006691808761388 D2(181,739) = 0.06982566821811303262 C1(181,739) = 0.9321078930156366535 C2(181,739) = 2.015267506631142614 C3(181,739) = 4.648098770492709275 C4(181,739) = 5912 Sum = 4405.942889736271970 Averaged sum = 0.4401981106740205785 logp*logq = 34.33762163267555788 -------------- ************************************* p = 181; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 841059702324378.2118 -------------- Searches starting with [181,743]-exponents: u = 5, v = 11 n_start has 43 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(181,743) = 0.6441343507852983553 D2(181,743) = 0.08829198744972157568 C1(181,743) = 1.046592673179518804 C2(181,743) = 1.448073473637112615 C3(181,743) = 5.613483632346101853 C4(181,743) = 5944 Sum = 4002.970862598415053 Averaged sum = 0.3999371428312933413 logp*logq = 34.36568376306600747 -------------- ************************************* p = 181; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 889212738311635.8386 -------------- Searches starting with [181,751]-exponents: u = 14, v = 7 n_start has 52 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(181,751) = 0.6635830264165548033 D2(181,751) = 0.09375891471447246509 C1(181,751) = 1.078060591291666731 C2(181,751) = 1.447950313014027605 C3(181,751) = 5.912343317213021712 C4(181,751) = 6008 Sum = 4396.024953719685343 Averaged sum = 0.4392072088839729587 logp*logq = 34.42135762350261448 -------------- ************************************* p = 181; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 926768752251197.1470 -------------- Searches starting with [181,757]-exponents: u = 14, v = 7 n_start has 52 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(181,757) = 0.7065244976317687700 D2(181,757) = 0.07922694862378481402 C1(181,757) = 0.9425402279748087461 C2(181,757) = 1.941612223725229661 C3(181,757) = 4.728720283498325319 C4(181,757) = 6056 Sum = 4322.029108647741755 Averaged sum = 0.4318142780145610706 logp*logq = 34.46272519217733344 -------------- ************************************* p = 181; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 952510088411251.9682 -------------- Searches starting with [181,761]-exponents: u = 14, v = 7 n_start has 52 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(181,761) = 0.6109826802521212072 D2(181,761) = 0.06834900859532063926 C1(181,761) = 0.8311353609394834141 C2(181,761) = 1.931743947178233283 C3(181,761) = 3.935422406209048691 C4(181,761) = 6088 Sum = 4206.104227382177199 Averaged sum = 0.4202322137458464581 logp*logq = 34.49012181438119070 -------------- ************************************* p = 181; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1005725611570265.430 -------------- Searches starting with [181,769]-exponents: u = 23, v = 7 n_start has 73 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(181,769) = 0.7604662958580711318 D2(181,769) = 0.04426208486277112160 C1(181,769) = 1.011652834325579797 C2(181,769) = 1.776441921771163358 C3(181,769) = 5.299315857046321231 C4(181,769) = 6152 Sum = 4294.360232611581629 Averaged sum = 0.4290498783706246008 logp*logq = 34.54448567746643801 -------------- ************************************* p = 181; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1033219335507212.094 -------------- Searches starting with [181,773]-exponents: u = 23, v = 7 n_start has 73 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(181,773) = 0.7845721858890828516 D2(181,773) = 0.03510703396029367591 C1(181,773) = 1.045531026491353889 C2(181,773) = 1.768166225956140125 C3(181,773) = 5.603668704655046205 C4(181,773) = 6184 Sum = 4177.395338407563938 Averaged sum = 0.4173639063250638364 logp*logq = 34.57145589117103321 -------------- ************************************* p = 181; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1134268963375944.051 -------------- Searches starting with [181,787]-exponents: u = 59, v = 7 n_start has 154 digits starting right neighbors generation We generated 957 left neighbors We generated 9053 right neighbors We generated 10009 non-negative rho_i D1(181,787) = 0.6272988980922666766 D2(181,787) = 0.004390150235691956405 C1(181,787) = 0.8808883298123301778 C2(181,787) = 1.504380486888648424 C3(181,787) = 4.271775295948513449 C4(181,787) = 6296 Sum = 3478.510496864094638 Averaged sum = 0.3475382652476865459 logp*logq = 34.66476475320078788 -------------- ************************************* p = 181; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1211218429029777.935 -------------- Searches starting with [181,797]-exponents: u = 320, v = 7 n_start has 743 digits --- performed 5000 steps in the continued fraction search [181,797]-exponents: u = 185, v = 96 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,797) = 0.5769061977580220987 D2(181,797) = 0.2859862063368676928 C1(181,797) = 0.7417643273712936191 C2(181,797) = 1.482633734903066582 C3(181,797) = 3.396351378780416443 C4(181,797) = 6376 Sum = 5217.971726819988362 Averaged sum = 0.5218493576177606122 logp*logq = 34.73040321400933474 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(181,797) = 0.5769061977580220987 D2(181,797) = 0.2859862063368676928 C1(181,797) = 0.7417643273712936191 C2(181,797) = 1.482633734903066582 C3(181,797) = 3.396351378780416443 C4(181,797) = 6376 Sum = 5217.971726819988362 Averaged sum = 0.5218493576177606122 logp*logq = 34.73040321400933474 -------------- ************************************* p = 181; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1309066643466364.760 -------------- Searches starting with [181,809]-exponents: u = 9, v = 59 n_start has 192 digits starting right neighbors generation We generated 2712 left neighbors We generated 7298 right neighbors We generated 10009 non-negative rho_i D1(181,809) = 0.6055791632469384345 D2(181,809) = 0.02933331196112887114 C1(181,809) = 0.8020245121967891407 C2(181,809) = 1.783654957909910002 C3(181,809) = 3.751038688952225416 C4(181,809) = 6472 Sum = 4020.542514537452492 Averaged sum = 0.4016927279985465573 logp*logq = 34.80809079228150005 -------------- ************************************* p = 181; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1325977865621231.654 -------------- Searches starting with [181,811]-exponents: u = 9, v = 45 n_start has 152 digits starting right neighbors generation We generated 1633 left neighbors We generated 8377 right neighbors We generated 10009 non-negative rho_i D1(181,811) = 0.7753250303444727574 D2(181,811) = 0.04014033506323607894 C1(181,811) = 1.079276421828746883 C2(181,811) = 1.794862430081408046 C3(181,811) = 5.924204350946857004 C4(181,811) = 6488 Sum = 4729.248880621582136 Averaged sum = 0.4724996383876093652 logp*logq = 34.82092659394169351 -------------- ************************************* p = 181; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1413202022736692.515 -------------- Searches starting with [181,821]-exponents: u = 9, v = 24 n_start has 91 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(181,821) = 0.7147821262561319593 D2(181,821) = 0.01183336863139394420 C1(181,821) = 0.9911894567141838108 C2(181,821) = 1.677910523154843916 C3(181,821) = 5.123544681314326590 C4(181,821) = 6568 Sum = 4380.377607560044002 Averaged sum = 0.4376438812628678192 logp*logq = 34.88463446272916596 -------------- ************************************* p = 181; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1431190313834629.940 -------------- Searches starting with [181,823]-exponents: u = 9, v = 24 n_start has 91 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(181,823) = 0.7135004158454813048 D2(181,823) = 0.01470041952724500174 C1(181,823) = 0.9441171509087838390 C2(181,823) = 1.681203380904980437 C3(181,823) = 4.741027879794905438 C4(181,823) = 6584 Sum = 4136.211097837299132 Averaged sum = 0.4132491855167648248 logp*logq = 34.89728288023726420 -------------- ************************************* p = 181; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1467721750240213.388 -------------- Searches starting with [181,827]-exponents: u = 9, v = 17 n_start has 70 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(181,827) = 0.6743497592706376804 D2(181,827) = 0.02160061448166788386 C1(181,827) = 0.9252260895223182557 C2(181,827) = 1.780052383941180934 C3(181,827) = 4.595669808135045222 C4(181,827) = 6616 Sum = 4198.896418581748103 Averaged sum = 0.4195120809852880511 logp*logq = 34.92248776370428522 -------------- ************************************* p = 181; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1486267778614057.404 -------------- Searches starting with [181,829]-exponents: u = 9, v = 17 n_start has 70 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(181,829) = 0.8439665232616180835 D2(181,829) = 0.02467455810700873153 C1(181,829) = 1.194361091117826967 C2(181,829) = 1.783557797275891914 C3(181,829) = 7.161707684295855790 C4(181,829) = 6632 Sum = 4150.121742975746163 Averaged sum = 0.4146389991982961497 logp*logq = 34.93504452592359787 -------------- ************************************* p = 181; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1581859377792602.424 -------------- Searches starting with [181,839]-exponents: u = 9, v = 10 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(181,839) = 0.6815642909890776233 D2(181,839) = 0.04360326528571441097 C1(181,839) = 0.9386860460156670753 C2(181,839) = 1.948119098781138419 C3(181,839) = 4.698773402854694483 C4(181,839) = 6712 Sum = 4040.366031998745553 Averaged sum = 0.4036732972323654264 logp*logq = 34.99737737142577875 -------------- ************************************* p = 181; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1723970528834295.525 -------------- Searches starting with [181,853]-exponents: u = 9, v = 10 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(181,853) = 0.7817304617964320225 D2(181,853) = 0.06820992103989577075 C1(181,853) = 1.081119073599039827 C2(181,853) = 1.975702036700901228 C3(181,853) = 5.942225712793234380 C4(181,853) = 6824 Sum = 4708.542035627407625 Averaged sum = 0.4704308158284951169 logp*logq = 35.08340647236239144 -------------- ************************************* p = 181; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1766412362471499.506 -------------- Searches starting with [181,857]-exponents: u = 9, v = 10 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(181,857) = 0.7250087387354341090 D2(181,857) = 0.06979073076269781777 C1(181,857) = 1.191060915993134719 C2(181,857) = 1.396656646915704416 C3(181,857) = 7.122854426902392653 C4(181,857) = 6856 Sum = 4325.115444589487604 Averaged sum = 0.4321226340882693180 logp*logq = 35.10772697066861560 -------------- ************************************* p = 181; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1787947457157673.459 -------------- Searches starting with [181,859]-exponents: u = 9, v = 10 n_start has 50 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(181,859) = 0.8950448335500822536 D2(181,859) = 0.05736657317089226599 C1(181,859) = 1.470322675608945318 C2(181,859) = 1.256017685715699482 C3(181,859) = 11.28681385830958985 C4(181,859) = 6872 Sum = 4033.008085507629683 Averaged sum = 0.4029381642029802861 logp*logq = 35.11984468485307950 -------------- ************************************* p = 181; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1831653859011079.520 -------------- Searches starting with [181,863]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(181,863) = 0.8855313355316762969 D2(181,863) = 0.05480995825613127632 C1(181,863) = 1.454619721631699982 C2(181,863) = 1.264046964082368800 C3(181,863) = 10.99841155132763752 C4(181,863) = 6904 Sum = 3998.215442555296582 Averaged sum = 0.3994620284299427098 logp*logq = 35.14399570172307463 -------------- ************************************* p = 181; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1991474038275522.046 -------------- Searches starting with [181,877]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(181,877) = 0.8640213743659278089 D2(181,877) = 0.02082627905892207788 C1(181,877) = 1.195974559913121503 C2(181,877) = 2.066137880829290362 C3(181,877) = 7.180780262137181964 C4(181,877) = 7016 Sum = 4707.020335817686632 Averaged sum = 0.4702787826773590400 logp*logq = 35.22765148219890321 -------------- ************************************* p = 181; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2039146916810079.029 -------------- Searches starting with [181,881]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(181,881) = 0.9230093920097496453 D2(181,881) = 0.005677894061985133210 C1(181,881) = 1.370340260136307263 C2(181,881) = 2.051983839476336198 C3(181,881) = 9.571856323119322381 C4(181,881) = 7048 Sum = 3833.790322132810127 Averaged sum = 0.3830343013420731469 logp*logq = 35.25130793727171748 -------------- ************************************* p = 181; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2063326574919317.626 -------------- Searches starting with [181,883]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(181,883) = 0.7957763480088530754 D2(181,883) = 0.1170814064405288736 C1(181,883) = 1.076492127807204594 C2(181,883) = 1.900945402692939598 C3(181,883) = 5.897077243766146354 C4(181,883) = 7064 Sum = 4323.066576123815313 Averaged sum = 0.4319179314740548819 logp*logq = 35.26309591745034803 -------------- ************************************* p = 181; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2112380676841052.398 -------------- Searches starting with [181,887]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(181,887) = 1.202180773353837782 D2(181,887) = 0.1247780685238416047 C1(181,887) = 1.574458539102100945 C2(181,887) = 1.909416315457276408 C3(181,887) = 13.40046644575257997 C4(181,887) = 7096 Sum = 3785.607602446964843 Averaged sum = 0.3782203619189694118 logp*logq = 35.28659198922898047 -------------- ************************************* p = 181; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2371989167989640.267 -------------- Searches starting with [181,907]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(181,907) = 0.6886090577248380848 D2(181,907) = 0.08317169211470421028 C1(181,907) = 0.9214370087377831401 C2(181,907) = 2.027266561238749421 C3(181,907) = 4.567055601267474031 C4(181,907) = 7256 Sum = 4164.847521792571850 Averaged sum = 0.4161102529516007443 logp*logq = 35.40250530942091444 -------------- ************************************* p = 181; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2426875496114051.110 -------------- Searches starting with [181,911]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(181,911) = 0.6118229868865278987 D2(181,911) = 0.06019177112057113455 C1(181,911) = 0.8322763416766410609 C2(181,911) = 2.005210316702075312 C3(181,911) = 3.942830947664900825 C4(181,911) = 7288 Sum = 4325.361202438635514 Averaged sum = 0.4321471877748661718 logp*logq = 35.42538102083951232 -------------- ************************************* p = 181; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2539726138254521.089 -------------- Searches starting with [181,919]-exponents: u = 21, v = 3 n_start has 57 digits starting right neighbors generation We generated 163 left neighbors We generated 9847 right neighbors We generated 10009 non-negative rho_i D1(181,919) = 1.168770964723126306 D2(181,919) = 0.01819988052339044969 C1(181,919) = 1.801568557834161732 C2(181,919) = 1.965053575414070890 C3(181,919) = 19.48511333739907320 C4(181,919) = 7352 Sum = 2406.858245374082046 Averaged sum = 0.2404694020755402184 logp*logq = 35.47083265054334699 -------------- ************************************* p = 181; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2686710533065554.614 -------------- Searches starting with [181,929]-exponents: u = 21, v = 3 n_start has 57 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(181,929) = 0.6953326591971045177 D2(181,929) = 0.1077268917447258025 C1(181,929) = 0.9360137429164378312 C2(181,929) = 1.977331120741824467 C3(181,929) = 4.678121093077904909 C4(181,929) = 7432 Sum = 4356.931196401203085 Averaged sum = 0.4353013484265364257 logp*logq = 35.52709399007157605 -------------- ************************************* p = 181; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2809179179397291.683 -------------- Searches starting with [181,937]-exponents: u = 25, v = 3 n_start has 66 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(181,937) = 0.6164984062125849514 D2(181,937) = 0.05028896744808418124 C1(181,937) = 0.9322040303351796724 C2(181,937) = 1.921634478928882455 C3(181,937) = 4.648835412282221242 C4(181,937) = 7496 Sum = 4028.573490755015497 Averaged sum = 0.4024951034823674190 logp*logq = 35.57166872860873417 -------------- ************************************* p = 181; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2872081963120741.734 -------------- Searches starting with [181,941]-exponents: u = 25, v = 3 n_start has 66 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(181,941) = 0.9121279788172439955 D2(181,941) = 0.02478280172170362332 C1(181,941) = 1.289047006237621241 C2(181,941) = 1.896993350763915403 C3(181,941) = 8.371439352386790961 C4(181,941) = 7528 Sum = 4570.929590343670048 Averaged sum = 0.4566819452836117542 logp*logq = 35.59381358438050838 -------------- ************************************* p = 181; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2968564775351735.663 -------------- Searches starting with [181,947]-exponents: u = 29, v = 3 n_start has 75 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(181,947) = 0.8207768788728714405 D2(181,947) = 0.09593495067526434787 C1(181,947) = 1.222566232676169863 C2(181,947) = 1.907608268667282003 C3(181,947) = 7.502534917711233059 C4(181,947) = 7576 Sum = 2525.063569230726611 Averaged sum = 0.2522793055480793897 logp*logq = 35.62685499030460343 -------------- ************************************* p = 181; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3067648531208369.364 -------------- Searches starting with [181,953]-exponents: u = 29, v = 3 n_start has 75 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(181,953) = 0.5657212254728872712 D2(181,953) = 0.04634585603829843443 C1(181,953) = 0.7579139376973271404 C2(181,953) = 1.859266561207025437 C3(181,953) = 3.487978204969904639 C4(181,953) = 7624 Sum = 4285.220714809839128 Averaged sum = 0.4281367484074172373 logp*logq = 35.65968771227318299 -------------- ************************************* p = 181; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3309258267918388.779 -------------- Searches starting with [181,967]-exponents: u = 37, v = 3 n_start has 93 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(181,967) = 0.6052290361348647054 D2(181,967) = 0.01849835549916820178 C1(181,967) = 0.8738893135075086702 C2(181,967) = 1.784213645814405871 C3(181,967) = 4.222775172170085046 C4(181,967) = 7736 Sum = 4134.611043263767828 Averaged sum = 0.4130893239348354309 logp*logq = 35.73550047094595650 -------------- ************************************* p = 181; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3381039919206228.302 -------------- Searches starting with [181,971]-exponents: u = 41, v = 3 n_start has 102 digits starting right neighbors generation We generated 420 left neighbors We generated 9590 right neighbors We generated 10009 non-negative rho_i D1(181,971) = 0.6354970694297820624 D2(181,971) = 0.05219378599756802296 C1(181,971) = 0.8706682290984491151 C2(181,971) = 1.776977635385811639 C3(181,971) = 4.200413606517271326 C4(181,971) = 7768 Sum = 4358.508887855075252 Averaged sum = 0.4354589757073708914 logp*logq = 35.75695972548960447 -------------- ************************************* p = 181; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3491065629322383.819 -------------- Searches starting with [181,977]-exponents: u = 45, v = 3 n_start has 111 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(181,977) = 1.437129195061975519 D2(181,977) = 0.05330613615043723252 C1(181,977) = 2.045821441261423819 C2(181,977) = 1.743694387423853364 C3(181,977) = 29.14460362482040159 C4(181,977) = 7816 Sum = 6911.706048007488038 Averaged sum = 0.6905491106012077168 logp*logq = 35.78898342243360997 -------------- ************************************* p = 181; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3603965113598387.545 -------------- Searches starting with [181,983]-exponents: u = 53, v = 3 n_start has 129 digits starting right neighbors generation We generated 675 left neighbors We generated 9335 right neighbors We generated 10009 non-negative rho_i D1(181,983) = 0.7029303021956749160 D2(181,983) = 0.03928598396335197862 C1(181,983) = 0.9895223768745240350 C2(181,983) = 1.699969691413772733 C3(181,983) = 5.109484693799225722 C4(181,983) = 7864 Sum = 4524.870873193950199 Averaged sum = 0.4520802151257818162 logp*logq = 35.82081105469826892 -------------- ************************************* p = 181; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3759066409983021.922 -------------- Searches starting with [181,991]-exponents: u = 69, v = 3 n_start has 165 digits starting right neighbors generation We generated 1207 left neighbors We generated 8803 right neighbors We generated 10009 non-negative rho_i D1(181,991) = 0.5621442246534168935 D2(181,991) = 0.02576328880216003074 C1(181,991) = 0.7491215995642572313 C2(181,991) = 1.636660052986883107 C3(181,991) = 3.437791416086525133 C4(181,991) = 7928 Sum = 4108.948157913961540 Averaged sum = 0.4105253429827117134 logp*logq = 35.86294702626484608 -------------- ************************************* p = 181; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3878893700985691.772 -------------- Searches starting with [181,997]-exponents: u = 85, v = 3 n_start has 201 digits starting right neighbors generation We generated 1883 left neighbors We generated 8127 right neighbors We generated 10009 non-negative rho_i D1(181,997) = 0.6050523499597241751 D2(181,997) = 0.008300891003459915061 C1(181,997) = 0.7983732703115692838 C2(181,997) = 1.578945500429506553 C3(181,997) = 3.728530504474844175 C4(181,997) = 7976 Sum = 4026.951451810051572 Averaged sum = 0.4023330454401090590 logp*logq = 35.89432637927704107 -------------- ************************************* p = 191; q = 193; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1010117563211.166296 -------------- Searches starting with [191,193]-exponents: u = 1, v = 504 n_start has 1155 digits --- performed 5000 steps in the continued fraction search [191,193]-exponents: u = 5, v = 490 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,193) = 0.7746145507427806625 D2(191,193) = 0.1920988521449824798 C1(191,193) = 0.9810264827980090809 C2(191,193) = 1.128023278378979262 C3(191,193) = 5.089554913662870724 C4(191,193) = 1544 Sum = 5791.041457419848139 Averaged sum = 0.5791620619481796319 logp*logq = 27.64108783922682938 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,193) = 0.7746145507427806625 D2(191,193) = 0.1920988521449824798 C1(191,193) = 0.9810264827980090809 C2(191,193) = 1.128023278378979262 C3(191,193) = 5.089554913662870724 C4(191,193) = 1544 Sum = 5791.041457419848139 Averaged sum = 0.5791620619481796319 logp*logq = 27.64108783922682938 -------------- ************************************* p = 191; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1125029709192.566337 -------------- Searches starting with [191,197]-exponents: u = 1, v = 169 n_start has 391 digits starting right neighbors generation We generated 3679 left neighbors We generated 6331 right neighbors We generated 10009 non-negative rho_i D1(191,197) = 0.7549126809462561731 D2(191,197) = 0.005624268369900863100 C1(191,197) = 0.9984416908089607422 C2(191,197) = 1.110836989803693115 C3(191,197) = 5.238715371037280448 C4(191,197) = 1576 Sum = 5223.861335344723952 Averaged sum = 0.5219164087665824710 logp*logq = 27.74883055940741213 -------------- ************************************* p = 191; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1186328402542.429933 -------------- Searches starting with [191,199]-exponents: u = 1, v = 128 n_start has 297 digits starting right neighbors generation We generated 2186 left neighbors We generated 7824 right neighbors We generated 10009 non-negative rho_i D1(191,199) = 1.269542765084764270 D2(191,199) = 0.01161401040766714948 C1(191,199) = 1.702839584227715315 C2(191,199) = 1.166322505404874145 C3(191,199) = 16.85139826087907206 C4(191,199) = 1592 Sum = 4805.624610648729807 Averaged sum = 0.4801303437554930370 logp*logq = 27.80188427745147496 -------------- ************************************* p = 191; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1613492604851.344854 -------------- Searches starting with [191,211]-exponents: u = 1, v = 52 n_start has 124 digits starting right neighbors generation We generated 403 left neighbors We generated 9607 right neighbors We generated 10009 non-negative rho_i D1(191,211) = 0.6458900841088634287 D2(191,211) = 0.007995683316052521413 C1(191,211) = 0.9144578926369807154 C2(191,211) = 1.357647820786856587 C3(191,211) = 4.557506519224421082 C4(191,211) = 1688 Sum = 4687.971335218007524 Averaged sum = 0.4683755954858634752 logp*logq = 28.10942226513157779 -------------- ************************************* p = 191; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2157442516810.032708 -------------- Searches starting with [191,223]-exponents: u = 1, v = 33 n_start has 80 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(191,223) = 0.8136608116724490912 D2(191,223) = 0.03617863751748688375 C1(191,223) = 1.193254439600230967 C2(191,223) = 1.507337169377694570 C3(191,223) = 7.236984557608920405 C4(191,223) = 1784 Sum = 4696.021130887835699 Averaged sum = 0.4691798512226831550 logp*logq = 28.39994461612380625 -------------- ************************************* p = 191; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2368601530269.735091 -------------- Searches starting with [191,227]-exponents: u = 1, v = 30 n_start has 73 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(191,227) = 0.6291354454119481309 D2(191,227) = 0.04374670232479536935 C1(191,227) = 0.8355190179789994183 C2(191,227) = 1.548584075144588076 C3(191,227) = 3.998194258847956685 C4(191,227) = 1816 Sum = 4320.510039054228486 Averaged sum = 0.4316625076485391633 logp*logq = 28.49332082529867148 -------------- ************************************* p = 191; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2480282782136.776175 -------------- Searches starting with [191,229]-exponents: u = 1, v = 28 n_start has 69 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(191,229) = 0.9144779985178574535 D2(191,229) = 0.07009710905943287027 C1(191,229) = 1.360441239295117550 C2(191,229) = 1.587686913389005003 C3(191,229) = 9.549710589275678637 C4(191,229) = 1832 Sum = 4811.666070188681134 Averaged sum = 0.4807339464670477703 logp*logq = 28.53939369466022823 -------------- ************************************* p = 191; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2716443013821.431576 -------------- Searches starting with [191,233]-exponents: u = 1, v = 26 n_start has 64 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(191,233) = 0.6162267931076980583 D2(191,233) = 0.005194487380456451447 C1(191,233) = 0.8712870319200868724 C2(191,233) = 1.563880441929248741 C3(191,233) = 4.242572615887633725 C4(191,233) = 1864 Sum = 4350.577425618445536 Averaged sum = 0.4346665426734384590 logp*logq = 28.63034442492352216 -------------- ************************************* p = 191; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3104531683833.014768 -------------- Searches starting with [191,239]-exponents: u = 1, v = 23 n_start has 57 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(191,239) = 0.6150276107013806576 D2(191,239) = 0.06824819485185833803 C1(191,239) = 0.8771471958764909727 C2(191,239) = 1.660647302911552280 C3(191,239) = 4.284011597648302554 C4(191,239) = 1912 Sum = 4389.913036591090741 Averaged sum = 0.4385965667490349427 logp*logq = 28.76388399347573835 -------------- ************************************* p = 191; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3243432154490.476995 -------------- Searches starting with [191,241]-exponents: u = 1, v = 22 n_start has 55 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(191,241) = 0.6652284310500658176 D2(191,241) = 0.04084497042075641482 C1(191,241) = 0.8965135720089295865 C2(191,241) = 1.651041151146602128 C3(191,241) = 4.423857764890626449 C4(191,241) = 1928 Sum = 4423.558330614571276 Averaged sum = 0.4419580707977391623 logp*logq = 28.80765319200460590 -------------- ************************************* p = 191; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4015526749539.479597 -------------- Searches starting with [191,251]-exponents: u = 1, v = 19 n_start has 48 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(191,251) = 0.6025428997287685614 D2(191,251) = 0.03912716639158185222 C1(191,251) = 0.8299694516227857511 C2(191,251) = 1.713263203207403775 C3(191,251) = 3.961560346409129434 C4(191,251) = 2008 Sum = 4160.374063154954343 Averaged sum = 0.4156633093370920515 logp*logq = 29.02118965012402106 -------------- ************************************* p = 191; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4545981950348.712623 -------------- Searches starting with [191,257]-exponents: u = 1, v = 17 n_start has 44 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(191,257) = 0.6379042204758899438 D2(191,257) = 0.09452398809641294787 C1(191,257) = 0.9007608429049654524 C2(191,257) = 1.794957169279736524 C3(191,257) = 4.455132915349085588 C4(191,257) = 2056 Sum = 4052.853142214219073 Averaged sum = 0.4049208854245398215 logp*logq = 29.14526487090418782 -------------- ************************************* p = 191; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5131794711318.243643 -------------- Searches starting with [191,263]-exponents: u = 1, v = 16 n_start has 42 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(191,263) = 0.6010213927276686216 D2(191,263) = 0.1251534749700113052 C1(191,263) = 0.8085331303092831843 C2(191,263) = 1.854002592084958621 C3(191,263) = 3.823179414957873638 C4(191,263) = 2104 Sum = 4461.279047885619141 Averaged sum = 0.4457267507129202858 logp*logq = 29.26647656019015856 -------------- ************************************* p = 191; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5777278943085.398878 -------------- Searches starting with [191,269]-exponents: u = 1, v = 15 n_start has 39 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(191,269) = 0.9662783204113200730 D2(191,269) = 0.1244644620255543220 C1(191,269) = 1.378099920263856963 C2(191,269) = 1.884236464951173202 C3(191,269) = 9.833555965456257326 C4(191,269) = 2152 Sum = 5066.936440604438657 Averaged sum = 0.5062380298335936314 logp*logq = 29.38495391667284144 -------------- ************************************* p = 191; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6006478926583.276414 -------------- Searches starting with [191,271]-exponents: u = 1, v = 15 n_start has 39 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(191,271) = 1.214350924810850420 D2(191,271) = 0.1071798082160048441 C1(191,271) = 1.940833084392002207 C2(191,271) = 1.053242663866370350 C3(191,271) = 25.00770999612396101 C4(191,271) = 2168 Sum = 1623.764866370181906 Averaged sum = 0.1622304792057330308 logp*logq = 29.42385982366637071 -------------- ************************************* p = 191; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6738629666572.382759 -------------- Searches starting with [191,277]-exponents: u = 1, v = 14 n_start has 37 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(191,277) = 0.6963674511892406233 D2(191,277) = 0.1239571432885398418 C1(191,277) = 0.9372123635694199381 C2(191,277) = 1.320682929005062922 C3(191,277) = 4.732802926609330600 C4(191,277) = 2216 Sum = 4532.006715738680109 Averaged sum = 0.4527931577319092925 logp*logq = 29.53887770661683081 -------------- ************************************* p = 191; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7265661106526.273776 -------------- Searches starting with [191,281]-exponents: u = 1, v = 13 n_start has 35 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(191,281) = 0.8142818264924897098 D2(191,281) = 0.03644297877974138580 C1(191,281) = 1.129078873291770464 C2(191,281) = 1.867691795604604146 C3(191,281) = 6.506223055224967588 C4(191,281) = 2248 Sum = 4789.062936041460261 Averaged sum = 0.4784756655051913539 logp*logq = 29.61418040764427511 -------------- ************************************* p = 191; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7541413369666.713448 -------------- Searches starting with [191,283]-exponents: u = 1, v = 13 n_start has 35 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(191,283) = 0.6449654354870127955 D2(191,283) = 0.08255756626099758302 C1(191,283) = 0.9294003572296891824 C2(191,283) = 1.914942651811699617 C3(191,283) = 4.671873371814330530 C4(191,283) = 2264 Sum = 4210.240797262564779 Averaged sum = 0.4206454987773568567 logp*logq = 29.65143072993985927 -------------- ************************************* p = 191; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9050305781300.991367 -------------- Searches starting with [191,293]-exponents: u = 1, v = 12 n_start has 32 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(191,293) = 0.7150518619775374882 D2(191,293) = 0.07768404195438841890 C1(191,293) = 0.9530384072991074782 C2(191,293) = 1.954309235316740811 C3(191,293) = 4.858684166820876054 C4(191,293) = 2344 Sum = 4489.204726251566258 Averaged sum = 0.4485168074984080585 logp*logq = 29.83381966105864154 -------------- ************************************* p = 191; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11564604940669.08157 -------------- Searches starting with [191,307]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(191,307) = 0.8272574149256137184 D2(191,307) = 0.07284824498470539807 C1(191,307) = 1.379559740999204968 C2(191,307) = 1.213200341147354801 C3(191,307) = 9.857395274001330404 C4(191,307) = 2456 Sum = 4432.811933629045655 Averaged sum = 0.4428825990237831606 logp*logq = 30.07897025112092890 -------------- ************************************* p = 191; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12378247263957.55429 -------------- Searches starting with [191,311]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(191,311) = 0.6259905504839239655 D2(191,311) = 0.09898841793558445684 C1(191,311) = 0.8486387082082170876 C2(191,311) = 1.764315758909238224 C3(191,311) = 4.086153008219236597 C4(191,311) = 2488 Sum = 4341.607965961924800 Averaged sum = 0.4337704032332825257 logp*logq = 30.14696179512937483 -------------- ************************************* p = 191; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12802099922335.71337 -------------- Searches starting with [191,313]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(191,313) = 0.6462379815582685211 D2(191,313) = 0.09545731992748807654 C1(191,313) = 0.8671536991594713360 C2(191,313) = 1.761962843714401000 C3(191,313) = 4.213585872538028705 C4(191,313) = 2504 Sum = 4407.683731229047987 Averaged sum = 0.4403720382884451980 logp*logq = 30.18063032983081243 -------------- ************************************* p = 191; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13685072575100.97483 -------------- Searches starting with [191,317]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(191,317) = 0.6064490315802294269 D2(191,317) = 0.0002679882211591245150 C1(191,317) = 0.8147825348926361341 C2(191,317) = 1.985678362748690342 C3(191,317) = 3.863015236086706998 C4(191,317) = 2536 Sum = 4409.848143084733903 Averaged sum = 0.4405882848521064944 logp*logq = 30.24732676166624236 -------------- ************************************* p = 191; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17172187228764.82076 -------------- Searches starting with [191,331]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(191,331) = 0.6622648949995347445 D2(191,331) = 0.06760916385919952729 C1(191,331) = 0.9034819920508550109 C2(191,331) = 1.783038939287436629 C3(191,331) = 4.475286444319419659 C4(191,331) = 2648 Sum = 4246.049085368609278 Averaged sum = 0.4242231077398950223 logp*logq = 30.47431216937402900 -------------- ************************************* p = 191; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18871367158539.67473 -------------- Searches starting with [191,337]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(191,337) = 1.648982891040290548 D2(191,337) = 0.05051313390905932227 C1(191,337) = 2.385498589587943899 C2(191,337) = 1.535734709704369276 C3(191,337) = 52.28625449400531732 C4(191,337) = 2696 Sum = 7148.048939135426407 Averaged sum = 0.7141621479803603163 logp*logq = 30.56866692411747389 -------------- ************************************* p = 191; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22004170372962.97375 -------------- Searches starting with [191,347]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(191,347) = 0.8500371288787270192 D2(191,347) = 0.04518462502203937975 C1(191,347) = 1.212315790402619362 C2(191,347) = 1.815083340850465269 C3(191,347) = 7.469446810429221182 C4(191,347) = 2776 Sum = 4814.758375327038112 Averaged sum = 0.4810428989236725059 logp*logq = 30.72225311372958906 -------------- ************************************* p = 191; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22678505017639.90684 -------------- Searches starting with [191,349]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(191,349) = 0.9080993867957853017 D2(191,349) = 0.04233664735010234544 C1(191,349) = 1.265067345497904254 C2(191,349) = 1.813338022494588741 C3(191,349) = 8.152445059703192179 C4(191,349) = 2792 Sum = 4688.172710548522167 Averaged sum = 0.4683957149114319279 logp*logq = 30.75243867628571269 -------------- ************************************* p = 191; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24077388799133.67825 -------------- Searches starting with [191,353]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(191,353) = 0.6186512379953577919 D2(191,353) = 0.03674888939337907337 C1(191,353) = 0.8490178042287038849 C2(191,353) = 1.809936331429413445 C3(191,353) = 4.088723155645876374 C4(191,353) = 2824 Sum = 4136.548170650492702 Averaged sum = 0.4132828624888093418 logp*logq = 30.81229429191509844 -------------- ************************************* p = 191; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26305991679773.47928 -------------- Searches starting with [191,359]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(191,359) = 0.7879540233472025507 D2(191,359) = 0.02463010101054672969 C1(191,359) = 1.180171433039209587 C2(191,359) = 1.553151047806084053 C3(191,359) = 7.081631713110885713 C4(191,359) = 2872 Sum = 3339.266638539573213 Averaged sum = 0.3336264000938728358 logp*logq = 30.90081784968881879 -------------- ************************************* p = 191; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29534350262240.16902 -------------- Searches starting with [191,367]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(191,367) = 0.9279051911687970626 D2(191,367) = 0.006755770256675563480 C1(191,367) = 1.628556773316440574 C2(191,367) = 2.152186979686787059 C3(191,367) = 14.89795020749809176 C4(191,367) = 2936 Sum = 4393.547496192366085 Averaged sum = 0.4389596859019248761 logp*logq = 31.01657511753735920 -------------- ************************************* p = 191; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32160142319579.08226 -------------- Searches starting with [191,373]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(191,373) = 0.7115343615339903380 D2(191,373) = 0.01109352595545481489 C1(191,373) = 0.9602625997996191395 C2(191,373) = 1.850031080627489654 C3(191,373) = 4.917253486412258351 C4(191,373) = 2984 Sum = 4502.042798850653144 Averaged sum = 0.4497994603707316559 logp*logq = 31.10174898558956804 -------------- ************************************* p = 191; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34971817473636.81516 -------------- Searches starting with [191,379]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(191,379) = 1.111496296518464744 D2(191,379) = 0.003637638938026930970 C1(191,379) = 1.677346803347117204 C2(191,379) = 1.845720479519998916 C3(191,379) = 16.15371015656012761 C4(191,379) = 3032 Sum = 4473.843485813084215 Averaged sum = 0.4469820647230576695 logp*logq = 31.18556363801925302 -------------- ************************************* p = 191; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36954410594613.44926 -------------- Searches starting with [191,383]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(191,383) = 0.5905395777782087817 D2(191,383) = 0.1584559297097603285 C1(191,383) = 0.9363550179573079124 C2(191,383) = 1.820240376577194809 C3(191,383) = 4.726077447449811488 C4(191,383) = 3064 Sum = 4449.895668778019332 Averaged sum = 0.4445894363850553833 logp*logq = 31.24070612276513054 -------------- ************************************* p = 191; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40098070125424.21922 -------------- Searches starting with [191,389]-exponents: u = 17, v = 7 n_start has 57 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(191,389) = 0.8101868330496927254 D2(191,389) = 0.1249621398171397864 C1(191,389) = 1.096634427648780441 C2(191,389) = 1.805502632254470623 C3(191,389) = 6.165349184324349419 C4(191,389) = 3112 Sum = 4557.136775169313049 Averaged sum = 0.4553039040033283094 logp*logq = 31.32234932253492778 -------------- ************************************* p = 191; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44622954711278.29046 -------------- Searches starting with [191,397]-exponents: u = 41, v = 7 n_start has 112 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(191,397) = 0.5882611337064831875 D2(191,397) = 0.04044090691656617312 C1(191,397) = 0.8050982627526785142 C2(191,397) = 1.724876262381320623 C3(191,397) = 3.801459618487558000 C4(191,397) = 3176 Sum = 4458.704284071945363 Averaged sum = 0.4454695058519278013 logp*logq = 31.42926952217750997 -------------- ************************************* p = 191; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47035527360612.54183 -------------- Searches starting with [191,401]-exponents: u = 97, v = 7 n_start has 240 digits starting right neighbors generation We generated 4816 left neighbors We generated 5194 right neighbors We generated 10009 non-negative rho_i D1(191,401) = 0.6601094479845753587 D2(191,401) = 0.005008247415721705939 C1(191,401) = 0.8994464931724463131 C2(191,401) = 1.691361224586064968 C3(191,401) = 4.445431034515415848 C4(191,401) = 3208 Sum = 4391.251976939511223 Averaged sum = 0.4387303403876022802 logp*logq = 31.48192433337874460 -------------- ************************************* p = 191; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52177700075663.88280 -------------- Searches starting with [191,409]-exponents: u = 8, v = 62 n_start has 181 digits starting right neighbors generation We generated 1371 left neighbors We generated 8639 right neighbors We generated 10009 non-negative rho_i D1(191,409) = 0.6770405798476777535 D2(191,409) = 0.003190459670728268776 C1(191,409) = 0.9340480678626326990 C2(191,409) = 1.352256767152529652 C3(191,409) = 4.708027911786131587 C4(191,409) = 3272 Sum = 4646.741932498687435 Averaged sum = 0.4642563625235975057 logp*logq = 31.58567631792490001 -------------- ************************************* p = 191; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59235906026822.40631 -------------- Searches starting with [191,419]-exponents: u = 8, v = 20 n_start has 71 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(191,419) = 0.6428026313047651312 D2(191,419) = 0.06718891551263422355 C1(191,419) = 0.9828823553534096556 C2(191,419) = 1.684551232197588473 C3(191,419) = 5.105246042904580757 C4(191,419) = 3352 Sum = 4297.675483935075171 Averaged sum = 0.4293811053986487332 logp*logq = 31.71254899468250499 -------------- ************************************* p = 191; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60736130514277.31621 -------------- Searches starting with [191,421]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(191,421) = 0.6180678073261168044 D2(191,421) = 0.08675907893771196312 C1(191,421) = 0.9450226371368466461 C2(191,421) = 1.817109247222317820 C3(191,421) = 4.794513331541429936 C4(191,421) = 3368 Sum = 4355.088393443687534 Averaged sum = 0.4351172338339182270 logp*logq = 31.73755986779208251 -------------- ************************************* p = 191; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68706047113286.88670 -------------- Searches starting with [191,431]-exponents: u = 15, v = 6 n_start has 51 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(191,431) = 0.8116012558010503398 D2(191,431) = 0.1249483217854012519 C1(191,431) = 1.117082791754744994 C2(191,431) = 1.879295234985775652 C3(191,431) = 6.378045351677365106 C4(191,431) = 3448 Sum = 4835.795991910305874 Averaged sum = 0.4831447688990214681 logp*logq = 31.86085833331060612 -------------- ************************************* p = 191; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70397189570890.04054 -------------- Searches starting with [191,433]-exponents: u = 15, v = 6 n_start has 51 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(191,433) = 0.8450549264345051097 D2(191,433) = 0.1060321180589904252 C1(191,433) = 1.157324231025802177 C2(191,433) = 1.861291893508987316 C3(191,433) = 6.818289171608498918 C4(191,433) = 3464 Sum = 4737.764093443049111 Averaged sum = 0.4733503939897141683 logp*logq = 31.88517445742764667 -------------- ************************************* p = 191; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75673911757713.83119 -------------- Searches starting with [191,439]-exponents: u = 22, v = 6 n_start has 67 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(191,439) = 0.6203977357003109318 D2(191,439) = 0.05512963221690883918 C1(191,439) = 0.8364817244829511812 C2(191,439) = 1.813102501410724154 C3(191,439) = 4.004583690405049807 C4(191,439) = 3512 Sum = 4371.157228676855031 Averaged sum = 0.4367226724624692807 logp*logq = 31.95745459026003768 -------------- ************************************* p = 191; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79366270183776.93061 -------------- Searches starting with [191,443]-exponents: u = 29, v = 6 n_start has 83 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(191,443) = 0.7455267430420520175 D2(191,443) = 0.02498884790089197614 C1(191,443) = 1.112757960044908419 C2(191,443) = 1.784749590975690623 C3(191,443) = 6.332456600676922062 C4(191,443) = 3544 Sum = 3606.767772922407262 Averaged sum = 0.3603524600781703729 logp*logq = 32.00509458515627866 -------------- ************************************* p = 191; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85177125848509.77871 -------------- Searches starting with [191,449]-exponents: u = 43, v = 6 n_start has 114 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(191,449) = 0.7976479569704090213 D2(191,449) = 0.03637951677263112786 C1(191,449) = 1.135847047540644504 C2(191,449) = 1.691021732734035702 C3(191,449) = 6.579674123363180429 C4(191,449) = 3592 Sum = 4729.133562722355040 Averaged sum = 0.4724881169669652353 logp*logq = 32.07575403776123884 -------------- ************************************* p = 191; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93455997753846.74209 -------------- Searches starting with [191,457]-exponents: u = 337, v = 6 n_start has 785 digits **************************************************** Computing .... elapsed time = 24 minutes **************************************************** --- performed 5000 steps in the continued fraction search [191,457]-exponents: u = 261, v = 56 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,457) = 0.5438276319924697185 D2(191,457) = 0.2951935636316672605 C1(191,457) = 0.7012132512594810854 C2(191,457) = 1.402734481502529106 C3(191,457) = 3.199757687611593062 C4(191,457) = 3656 Sum = 5364.758188334354698 Averaged sum = 0.5365294717806135312 logp*logq = 32.16851182919216171 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,457) = 0.5438276319924697185 D2(191,457) = 0.2951935636316672605 C1(191,457) = 0.7012132512594810854 C2(191,457) = 1.402734481502529106 C3(191,457) = 3.199757687611593062 C4(191,457) = 3656 Sum = 5364.758188334354698 Averaged sum = 0.5365294717806135312 logp*logq = 32.16851182919216171 -------------- ************************************* p = 191; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97833049454274.90154 -------------- Searches starting with [191,461]-exponents: u = 7, v = 149 n_start has 413 digits --- performed 5000 steps in the continued fraction search [191,461]-exponents: u = 70, v = 63 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,461) = 0.5778574913696168415 D2(191,461) = 0.09756568766798345720 C1(191,461) = 0.7636422049706356081 C2(191,461) = 1.405084009725160996 C3(191,461) = 3.548849818342540221 C4(191,461) = 3688 Sum = 4939.470025403220003 Averaged sum = 0.4939964021805400543 logp*logq = 32.21428356486449808 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,461) = 0.5778574913696168415 D2(191,461) = 0.09756568766798345720 C1(191,461) = 0.7636422049706356081 C2(191,461) = 1.405084009725160996 C3(191,461) = 3.548849818342540221 C4(191,461) = 3688 Sum = 4939.470025403220003 Averaged sum = 0.4939964021805400543 logp*logq = 32.21428356486449808 -------------- ************************************* p = 191; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100082975692137.2354 -------------- Searches starting with [191,463]-exponents: u = 7, v = 83 n_start has 238 digits starting right neighbors generation We generated 4262 left neighbors We generated 5748 right neighbors We generated 10009 non-negative rho_i D1(191,463) = 0.6091877763306531246 D2(191,463) = 0.01910635029023145603 C1(191,463) = 0.8267482785460088120 C2(191,463) = 1.565132107278940078 C3(191,463) = 3.940450828804514873 C4(191,463) = 3704 Sum = 4609.517075160039870 Averaged sum = 0.4605372240143910350 logp*logq = 32.23702071478004748 -------------- ************************************* p = 191; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104708544525618.4112 -------------- Searches starting with [191,467]-exponents: u = 7, v = 41 n_start has 126 digits starting right neighbors generation We generated 1191 left neighbors We generated 8819 right neighbors We generated 10009 non-negative rho_i D1(191,467) = 1.061763583457427833 D2(191,467) = 0.009654051018053203844 C1(191,467) = 1.501234369518525171 C2(191,467) = 1.699967385905371521 C3(191,467) = 12.06174562414234943 C4(191,467) = 3736 Sum = 5586.422002201902068 Averaged sum = 0.5581398743332902455 logp*logq = 32.28220184007991713 -------------- ************************************* p = 191; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119634102366011.9172 -------------- Searches starting with [191,479]-exponents: u = 7, v = 17 n_start has 62 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(191,479) = 0.8148192637398156930 D2(191,479) = 0.01592626188332769569 C1(191,479) = 1.165847091319841439 C2(191,479) = 1.711073378528341835 C3(191,479) = 6.915360673592922010 C4(191,479) = 3832 Sum = 4081.570997411085318 Averaged sum = 0.4077900886613133498 logp*logq = 32.41545905364086130 -------------- ************************************* p = 191; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130507944652431.5617 -------------- Searches starting with [191,487]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(191,487) = 0.7978558409806779937 D2(191,487) = 0.05693072520239114065 C1(191,487) = 1.074763307221076404 C2(191,487) = 1.879275053854187320 C3(191,487) = 5.945698399074699269 C4(191,487) = 3896 Sum = 4438.030832846409059 Averaged sum = 0.4434040196669406593 logp*logq = 32.50245521940096578 -------------- ************************************* p = 191; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136237232790399.7192 -------------- Searches starting with [191,491]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(191,491) = 0.8332306181725840117 D2(191,491) = 0.07817865280817251627 C1(191,491) = 1.130192738831553752 C2(191,491) = 1.901974065711543460 C3(191,491) = 6.518254578093730565 C4(191,491) = 3928 Sum = 4532.870702619987677 Averaged sum = 0.4528794787311407410 logp*logq = 32.54541884079073608 -------------- ************************************* p = 191; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148307051916269.0746 -------------- Searches starting with [191,499]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(191,499) = 0.6626111263840677401 D2(191,499) = 0.08887817876290971419 C1(191,499) = 1.091098044234556224 C2(191,499) = 1.396971682944835401 C3(191,499) = 6.108992044832623242 C4(191,499) = 3992 Sum = 4421.247109216021779 Averaged sum = 0.4417271564807694853 logp*logq = 32.63030591563621821 -------------- ************************************* p = 191; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 154658481566939.6096 -------------- Searches starting with [191,503]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(191,503) = 0.6380946837853244939 D2(191,503) = 0.06530573660933055872 C1(191,503) = 0.9161289933298935286 C2(191,503) = 1.919518840369508192 C3(191,503) = 4.570156491711904576 C4(191,503) = 4024 Sum = 4114.546038123760564 Averaged sum = 0.4110846276474933124 logp*logq = 32.67224045718292567 -------------- ************************************* p = 191; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164596988643999.2664 -------------- Searches starting with [191,509]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(191,509) = 0.6454978572372018297 D2(191,509) = 0.02974791141638197864 C1(191,509) = 0.8840272464861773468 C2(191,509) = 1.886386310589325222 C3(191,509) = 4.333179341228680598 C4(191,509) = 4072 Sum = 4449.965636842188487 Averaged sum = 0.4445964269000088408 logp*logq = 32.73452110901023308 -------------- ************************************* p = 191; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 186026400325373.5236 -------------- Searches starting with [191,521]-exponents: u = 25, v = 5 n_start has 71 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(191,521) = 0.6111617828440108259 D2(191,521) = 0.07300419729558342453 C1(191,521) = 0.8285357430683641102 C2(191,521) = 1.815364346162008337 C3(191,521) = 3.952150803905377238 C4(191,521) = 4168 Sum = 4370.000076467320616 Averaged sum = 0.4366070612915696489 logp*logq = 32.85690971680280442 -------------- ************************************* p = 191; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189807856420574.5668 -------------- Searches starting with [191,523]-exponents: u = 25, v = 5 n_start has 71 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(191,523) = 1.045123291954618925 D2(191,523) = 0.05230448496188014522 C1(191,523) = 1.433287404614739808 C2(191,523) = 1.795418838826526089 C3(191,523) = 10.77617785692773157 C4(191,523) = 4184 Sum = 4854.168480801320102 Averaged sum = 0.4849803657509561496 logp*logq = 32.87703339440141491 -------------- ************************************* p = 191; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226724978365806.0986 -------------- Searches starting with [191,541]-exponents: u = 133, v = 5 n_start has 318 digits --- performed 5000 steps in the continued fraction search [191,541]-exponents: u = 29, v = 44 --- starting right neighbors generation We generated 6974 left neighbors We generated 3036 right neighbors We generated 10009 non-negative rho_i D1(191,541) = 0.6192932992508395931 D2(191,541) = 0.008602855079453075735 C1(191,541) = 0.8293391725599051145 C2(191,541) = 1.469151405831749327 C3(191,541) = 3.957421018763647129 C4(191,541) = 4328 Sum = 4668.391245641960300 Averaged sum = 0.4664193471517594465 logp*logq = 33.05475884984175873 -------------- ************************************* p = 191; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 240247059276894.0421 -------------- Searches starting with [191,547]-exponents: u = 6, v = 609 n_start has 1682 digits --- performed 5000 steps in the continued fraction search [191,547]-exponents: u = 113, v = 513 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,547) = 0.7231652625257773005 D2(191,547) = 0.4305331958377305690 C1(191,547) = 0.9050595519908335473 C2(191,547) = 1.447774894952811304 C3(191,547) = 4.487011979239390648 C4(191,547) = 4376 Sum = 5757.056733666412885 Averaged sum = 0.5757632496916104495 logp*logq = 33.11268892344136958 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,547) = 0.7231652625257773005 D2(191,547) = 0.4305331958377305690 C1(191,547) = 0.9050595519908335473 C2(191,547) = 1.447774894952811304 C3(191,547) = 4.487011979239390648 C4(191,547) = 4376 Sum = 5757.056733666412885 Averaged sum = 0.5757632496916104495 logp*logq = 33.11268892344136958 -------------- ************************************* p = 191; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 264230093762102.6067 -------------- Searches starting with [191,557]-exponents: u = 6, v = 49 n_start has 149 digits starting right neighbors generation We generated 1492 left neighbors We generated 8518 right neighbors We generated 10009 non-negative rho_i D1(191,557) = 0.6625711675794321936 D2(191,557) = 0.007693425737115546473 C1(191,557) = 0.9258387791964141923 C2(191,557) = 1.640535189286056911 C3(191,557) = 4.644355869632856393 C4(191,557) = 4456 Sum = 4548.529191529106155 Averaged sum = 0.4544439196252478924 logp*logq = 33.20784140676133893 -------------- ************************************* p = 191; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 279525965286790.6904 -------------- Searches starting with [191,563]-exponents: u = 6, v = 34 n_start has 108 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(191,563) = 0.8268593563202575738 D2(191,563) = 0.02956682038261203876 C1(191,563) = 1.196180168726867618 C2(191,563) = 1.731340863418745381 C3(191,563) = 7.272189496560843839 C4(191,563) = 4504 Sum = 3239.826455821324058 Averaged sum = 0.3236913233910804334 logp*logq = 33.26411630326713689 -------------- ************************************* p = 191; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 295530935177321.1937 -------------- Searches starting with [191,569]-exponents: u = 6, v = 24 n_start has 80 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(191,569) = 0.6532798339359142984 D2(191,569) = 0.005608940043251450437 C1(191,569) = 0.8923412809572327307 C2(191,569) = 1.802053728676214996 C3(191,569) = 4.393348516656067294 C4(191,569) = 4552 Sum = 4182.178701529643814 Averaged sum = 0.4178418125216948560 logp*logq = 33.31979463486664663 -------------- ************************************* p = 191; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 301027784385556.7282 -------------- Searches starting with [191,571]-exponents: u = 6, v = 19 n_start has 67 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(191,571) = 0.7626600852560181111 D2(191,571) = 0.01948501692889420365 C1(191,571) = 1.138330836013073164 C2(191,571) = 1.816517378284459046 C3(191,571) = 6.606836735458902338 C4(191,571) = 4568 Sum = 3823.293223754602517 Averaged sum = 0.3819855353936060063 logp*logq = 33.33822368334616143 -------------- ************************************* p = 191; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 318017012623022.6217 -------------- Searches starting with [191,577]-exponents: u = 6, v = 19 n_start has 67 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(191,577) = 1.192397741788012723 D2(191,577) = 0.06392225158900478919 C1(191,577) = 1.823175753732849630 C2(191,577) = 1.862704838149268727 C3(191,577) = 20.57404951664804684 C4(191,577) = 4616 Sum = 3062.359639185024548 Averaged sum = 0.3059605993790612997 logp*logq = 33.39312599609225105 -------------- ************************************* p = 191; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 348052158187349.3075 -------------- Searches starting with [191,587]-exponents: u = 6, v = 14 n_start has 53 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(191,587) = 0.7220555450804410753 D2(191,587) = 0.1219636249743458194 C1(191,587) = 1.144835841403532468 C2(191,587) = 1.362267959631044670 C3(191,587) = 6.678507809303696425 C4(191,587) = 4696 Sum = 4136.350920690649566 Averaged sum = 0.4132631552293585339 logp*logq = 33.48337346432086510 -------------- ************************************* p = 191; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 367148265198964.3598 -------------- Searches starting with [191,593]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(191,593) = 0.9556288023028652283 D2(191,593) = 0.1371112473323844469 C1(191,593) = 1.339688077581208661 C2(191,593) = 1.862423248075688120 C3(191,593) = 9.226579446054565763 C4(191,593) = 4744 Sum = 5098.392976801351436 Averaged sum = 0.5093808549107154996 logp*logq = 33.53678687476792403 -------------- ************************************* p = 191; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 387083890656439.0160 -------------- Searches starting with [191,599]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(191,599) = 0.9409359446448955145 D2(191,599) = 0.005936491673627443536 C1(191,599) = 1.226798995352867939 C2(191,599) = 1.954462219394313233 C3(191,599) = 7.651055934929836437 C4(191,599) = 4792 Sum = 3846.923835285509859 Averaged sum = 0.3843464717040173703 logp*logq = 33.58966255718879973 -------------- ************************************* p = 191; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 393920469776823.8822 -------------- Searches starting with [191,601]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(191,601) = 0.6620644243058840210 D2(191,601) = 0.01219006327035902539 C1(191,601) = 0.9232346335459277149 C2(191,601) = 1.961327871903758918 C3(191,601) = 4.624338325664477166 C4(191,601) = 4808 Sum = 4300.189947333759048 Averaged sum = 0.4296323256402996351 logp*logq = 33.60717015149303597 -------------- ************************************* p = 191; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 415019026523796.4817 -------------- Searches starting with [191,607]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(191,607) = 0.5760876699658638713 D2(191,607) = 0.03136095118093789777 C1(191,607) = 0.7714807784479694336 C2(191,607) = 1.982322595788372028 C3(191,607) = 3.595291570772460932 C4(191,607) = 4856 Sum = 4109.707772439878150 Averaged sum = 0.4106012361314694924 logp*logq = 33.65934548215359558 -------------- ************************************* p = 191; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 437023289880021.8245 -------------- Searches starting with [191,613]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(191,613) = 1.141006774259612856 D2(191,613) = 0.03004460899355879288 C1(191,613) = 1.930314099740750527 C2(191,613) = 1.072648406617494983 C3(191,613) = 24.57517402497133172 C4(191,613) = 4904 Sum = 2835.660489231891766 Averaged sum = 0.2833110689611241649 logp*logq = 33.71100760452397298 -------------- ************************************* p = 191; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 452210480835804.4450 -------------- Searches starting with [191,617]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(191,617) = 0.7383706726424398228 D2(191,617) = 0.04031442983029844169 C1(191,617) = 1.249113015955925658 C2(191,617) = 2.030163312213379644 C3(191,617) = 7.939537824986622309 C4(191,617) = 4936 Sum = 4389.381342164532302 Averaged sum = 0.4385434451158489661 logp*logq = 33.74516885293815603 -------------- ************************************* p = 191; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 459962700570490.7700 -------------- Searches starting with [191,619]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(191,619) = 0.9384093617904355010 D2(191,619) = 0.03210749714753968530 C1(191,619) = 1.291621286777312140 C2(191,619) = 2.022650624512874147 C3(191,619) = 8.519535979237444592 C4(191,619) = 4952 Sum = 4124.505285433105115 Averaged sum = 0.4120796568521435823 logp*logq = 33.76216651640774006 -------------- ************************************* p = 191; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 508768015985299.8607 -------------- Searches starting with [191,631]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(191,631) = 0.7092294219508011360 D2(191,631) = 0.1037930979091966909 C1(191,631) = 1.066155823946221844 C2(191,631) = 1.855855702729863975 C3(191,631) = 5.861415357433977661 C4(191,631) = 5048 Sum = 3929.123678693224701 Averaged sum = 0.3925590647110824958 logp*logq = 33.86301326431447148 -------------- ************************************* p = 191; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 552568145102655.3119 -------------- Searches starting with [191,641]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(191,641) = 0.9177310778531544203 D2(191,641) = 0.09612408426375984595 C1(191,641) = 1.466790438852351581 C2(191,641) = 1.215899235529201071 C3(191,641) = 11.39196315887622781 C4(191,641) = 5128 Sum = 3562.404555328907269 Averaged sum = 0.3559201274182143340 logp*logq = 33.94559788126707620 -------------- ************************************* p = 191; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 561683767975297.7037 -------------- Searches starting with [191,643]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(191,643) = 0.8437121335643738739 D2(191,643) = 0.09889330431529623892 C1(191,643) = 1.348450688585712879 C2(191,643) = 1.273612638048354102 C3(191,643) = 9.361659672547444589 C4(191,643) = 5144 Sum = 3931.408792874431770 Averaged sum = 0.3927873706538547078 logp*logq = 33.96196011701715137 -------------- ************************************* p = 191; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 580280347079439.1049 -------------- Searches starting with [191,647]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(191,647) = 0.6479014985649215344 D2(191,647) = 0.1078319112612395635 C1(191,647) = 0.8716003981388107803 C2(191,647) = 1.972177801784487095 C3(191,647) = 4.244778343959373623 C4(191,647) = 5176 Sum = 4361.156662797737974 Averaged sum = 0.4357235151161692451 logp*logq = 33.99453245972314725 -------------- ************************************* p = 191; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 609107159502375.0606 -------------- Searches starting with [191,653]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(191,653) = 1.064589093406087999 D2(191,653) = 0.06293116860605754034 C1(191,653) = 1.499465884815503897 C2(191,653) = 1.929174726140613229 C3(191,653) = 12.02641654606587517 C4(191,653) = 5224 Sum = 4640.218647429180513 Averaged sum = 0.4636046205843920984 logp*logq = 34.04301532793335485 -------------- ************************************* p = 191; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 639082550558352.8001 -------------- Searches starting with [191,659]-exponents: u = 21, v = 4 n_start has 60 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(191,659) = 0.6567040462174608733 D2(191,659) = 0.02312746885633464699 C1(191,659) = 1.014477530665947532 C2(191,659) = 1.891251138295330454 C3(191,659) = 5.379924456433331958 C4(191,659) = 5272 Sum = 4230.056888412619376 Averaged sum = 0.4226253260478189005 logp*logq = 34.09105474906442148 -------------- ************************************* p = 191; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 649335560463386.6319 -------------- Searches starting with [191,661]-exponents: u = 21, v = 4 n_start has 60 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(191,661) = 1.068684435922046358 D2(191,661) = 0.01075696892211398672 C1(191,661) = 1.488777332288694248 C2(191,661) = 1.879503496777451729 C3(191,661) = 11.81508286008628632 C4(191,661) = 5288 Sum = 5353.745531663190477 Averaged sum = 0.5348931493319203193 logp*logq = 34.10697074132878226 -------------- ************************************* p = 191; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 713687969399082.8007 -------------- Searches starting with [191,673]-exponents: u = 26, v = 4 n_start has 71 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(191,673) = 0.7077681679819212965 D2(191,673) = 0.03317415521012491999 C1(191,673) = 1.049645923136764739 C2(191,673) = 1.813748092868555761 C3(191,673) = 5.703082249030440186 C4(191,673) = 5384 Sum = 3970.304902701570857 Averaged sum = 0.3966734841344360932 logp*logq = 34.20146696509974639 -------------- ************************************* p = 191; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 736250580581689.9292 -------------- Searches starting with [191,677]-exponents: u = 31, v = 4 n_start has 83 digits starting right neighbors generation We generated 304 left neighbors We generated 9706 right neighbors We generated 10009 non-negative rho_i D1(191,677) = 0.6419190310053462117 D2(191,677) = 0.08491852284379700038 C1(191,677) = 0.8716484250117200319 C2(191,677) = 1.798736470239859677 C3(191,677) = 4.245116497752088865 C4(191,677) = 5416 Sum = 4418.038114152926839 Averaged sum = 0.4414065455243207952 logp*logq = 34.23259163945999631 -------------- ************************************* p = 191; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 771174296318239.7324 -------------- Searches starting with [191,683]-exponents: u = 41, v = 4 n_start has 105 digits starting right neighbors generation We generated 642 left neighbors We generated 9368 right neighbors We generated 10009 non-negative rho_i D1(191,683) = 1.207827287651899992 D2(191,683) = 0.01647770172955727014 C1(191,683) = 1.582492660571493810 C2(191,683) = 1.731994612754962632 C3(191,683) = 13.80207420306369798 C4(191,683) = 5464 Sum = 3888.304476951117301 Averaged sum = 0.3884808149616462485 logp*logq = 34.27893552920658176 -------------- ************************************* p = 191; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 819813560612198.9621 -------------- Searches starting with [191,691]-exponents: u = 56, v = 4 n_start has 140 digits starting right neighbors generation We generated 1059 left neighbors We generated 8951 right neighbors We generated 10009 non-negative rho_i D1(191,691) = 0.6778336164759656138 D2(191,691) = 0.02334798699261612747 C1(191,691) = 0.9513309698347695571 C2(191,691) = 1.644598766424390195 C3(191,691) = 4.844943548242170415 C4(191,691) = 5528 Sum = 4536.948433305110460 Averaged sum = 0.4532868851338905445 logp*logq = 34.34009806522840807 -------------- ************************************* p = 191; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 884075040262051.5946 -------------- Searches starting with [191,701]-exponents: u = 126, v = 4 n_start has 299 digits starting right neighbors generation We generated 5305 left neighbors We generated 4705 right neighbors We generated 10009 non-negative rho_i D1(191,701) = 0.6274554963898005967 D2(191,701) = 0.003049787819791550945 C1(191,701) = 0.8426489014999043666 C2(191,701) = 1.468817118509347237 C3(191,701) = 4.045757833954243919 C4(191,701) = 5608 Sum = 4520.623048800458808 Averaged sum = 0.4516558146468637035 logp*logq = 34.41556306213774586 -------------- ************************************* p = 191; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 938368615055476.8942 -------------- Searches starting with [191,709]-exponents: u = 1101, v = 4 n_start has 2523 digits --- performed 5000 steps in the continued fraction search [191,709]-exponents: u = 313, v = 630 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,709) = 0.6469710740800852040 D2(191,709) = 0.4797548763057783348 C1(191,709) = 0.8001849036311920899 C2(191,709) = 1.477758288595788990 C3(191,709) = 3.770605150200502394 C4(191,709) = 5672 Sum = 5911.269934981859182 Averaged sum = 0.5911861121093968579 logp*logq = 34.47516396754171400 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,709) = 0.6469710740800852040 D2(191,709) = 0.4797548763057783348 C1(191,709) = 0.8001849036311920899 C2(191,709) = 1.477758288595788990 C3(191,709) = 3.770605150200502394 C4(191,709) = 5672 Sum = 5911.269934981859182 Averaged sum = 0.5911861121093968579 logp*logq = 34.47516396754171400 -------------- ************************************* p = 191; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1009999693736865.366 -------------- Searches starting with [191,719]-exponents: u = 5, v = 103 n_start has 306 digits --- performed 5000 steps in the continued fraction search [191,719]-exponents: u = 57, v = 10 --- starting right neighbors generation We generated 5453 left neighbors We generated 4557 right neighbors We generated 10009 non-negative rho_i D1(191,719) = 0.5732552848990677649 D2(191,719) = 0.006324572363058627310 C1(191,719) = 0.7689095439430326435 C2(191,719) = 1.466202072069275134 C3(191,719) = 3.579990998314936629 C4(191,719) = 5752 Sum = 4536.431298445641358 Averaged sum = 0.4532352181482307282 logp*logq = 34.54872642253298100 -------------- ************************************* p = 191; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1070437092143102.952 -------------- Searches starting with [191,727]-exponents: u = 5, v = 55 n_start has 169 digits starting right neighbors generation We generated 1679 left neighbors We generated 8331 right neighbors We generated 10009 non-negative rho_i D1(191,727) = 0.7013437242283017518 D2(191,727) = 0.006314574818568934633 C1(191,727) = 0.9760896607215516686 C2(191,727) = 1.615263953496690199 C3(191,727) = 5.048049187380561620 C4(191,727) = 5816 Sum = 3740.623048878981948 Averaged sum = 0.3737259515315198270 logp*logq = 34.60684345730218355 -------------- ************************************* p = 191; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1117659398777374.460 -------------- Searches starting with [191,733]-exponents: u = 5, v = 39 n_start has 124 digits starting right neighbors generation We generated 780 left neighbors We generated 9230 right neighbors We generated 10009 non-negative rho_i D1(191,733) = 0.6350123405031047831 D2(191,733) = 0.04508641331512891681 C1(191,733) = 0.8622700440692623045 C2(191,733) = 1.694540744132489382 C3(191,733) = 4.179592308963755562 C4(191,733) = 5864 Sum = 4438.461799685527554 Averaged sum = 0.4434470775987139129 logp*logq = 34.65001307097129317 -------------- ************************************* p = 191; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1166554298500019.193 -------------- Searches starting with [191,739]-exponents: u = 5, v = 31 n_start has 101 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(191,739) = 0.7416305666945386573 D2(191,739) = 0.05887152915162199708 C1(191,739) = 1.020009856425429728 C2(191,739) = 1.757117217115637982 C3(191,739) = 5.429519203711550883 C4(191,739) = 5912 Sum = 4417.487602659448016 Averaged sum = 0.4413515438764559912 logp*logq = 34.69283075452788895 -------------- ************************************* p = 191; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1200102274189372.503 -------------- Searches starting with [191,743]-exponents: u = 5, v = 27 n_start has 89 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(191,743) = 0.9113273362096568056 D2(191,743) = 0.02522808769025167540 C1(191,743) = 1.263639984035766371 C2(191,743) = 1.783776453355443137 C3(191,743) = 8.133166903774504480 C4(191,743) = 5944 Sum = 4697.499965368927290 Averaged sum = 0.4693276016953668988 logp*logq = 34.72118317656404214 -------------- ************************************* p = 191; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1269542457874654.570 -------------- Searches starting with [191,751]-exponents: u = 5, v = 23 n_start has 78 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(191,751) = 0.7431073061063188993 D2(191,751) = 0.1022080622140615946 C1(191,751) = 1.109163602416180857 C2(191,751) = 1.862433510232845697 C3(191,751) = 6.294815943615644245 C4(191,751) = 6008 Sum = 3450.296468570029947 Averaged sum = 0.3447193993975452040 logp*logq = 34.77743296107854154 -------------- ************************************* p = 191; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1323728089542950.768 -------------- Searches starting with [191,757]-exponents: u = 5, v = 19 n_start has 67 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(191,757) = 0.5610234485539876333 D2(191,757) = 0.03725727689598220014 C1(191,757) = 0.7752516629425058719 C2(191,757) = 1.876645677923422475 C3(191,757) = 3.617849221354449279 C4(191,757) = 6056 Sum = 4321.598756840960895 Averaged sum = 0.4317712815307184428 logp*logq = 34.81922846089826823 -------------- ************************************* p = 191; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1360880743175197.659 -------------- Searches starting with [191,761]-exponents: u = 5, v = 15 n_start has 55 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(191,761) = 1.170510326336726450 D2(191,761) = 0.06509247351365466712 C1(191,761) = 1.781412454393668153 C2(191,761) = 1.905342102927445958 C3(191,761) = 19.19710320512935186 C4(191,761) = 6088 Sum = 4685.817598452375932 Averaged sum = 0.4681604154713134111 logp*logq = 34.84690849032871953 -------------- ************************************* p = 191; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1437719720677996.559 -------------- Searches starting with [191,769]-exponents: u = 5, v = 15 n_start has 55 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(191,769) = 0.5949387909533927315 D2(191,769) = 0.1276653397591462957 C1(191,769) = 0.8340453512591559338 C2(191,769) = 1.969623713354581361 C3(191,769) = 3.988433352703126523 C4(191,769) = 6152 Sum = 4165.285311292813226 Averaged sum = 0.4161539925359989235 logp*logq = 34.90183472608711189 -------------- ************************************* p = 191; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1477435096006209.432 -------------- Searches starting with [191,773]-exponents: u = 5, v = 15 n_start has 55 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(191,773) = 0.7005405757854957031 D2(191,773) = 0.1327537560774058862 C1(191,773) = 1.095221417814527546 C2(191,773) = 1.413495813563340900 C3(191,773) = 6.150916348511347340 C4(191,773) = 6184 Sum = 4181.533683308503082 Averaged sum = 0.4177773686990211892 logp*logq = 34.92908393599093897 -------------- ************************************* p = 191; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1623495671496958.124 -------------- Searches starting with [191,787]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(191,787) = 0.6380896022273056619 D2(191,787) = 0.04733257030362721464 C1(191,787) = 0.8504607680853984443 C2(191,787) = 2.002633147036627645 C3(191,787) = 4.098520776240062190 C4(191,787) = 6296 Sum = 4187.875136189216711 Averaged sum = 0.4184109437695290949 logp*logq = 35.02335804131264866 -------------- ************************************* p = 191; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1734812105756096.257 -------------- Searches starting with [191,797]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(191,797) = 0.7983094591054562568 D2(191,797) = 0.07927359457500648399 C1(191,797) = 1.059534800480945917 C2(191,797) = 1.384224865007038532 C3(191,797) = 5.797397265368381763 C4(191,797) = 6376 Sum = 4399.361571253396965 Averaged sum = 0.4395405706117890863 logp*logq = 35.08967550605084904 -------------- ************************************* p = 191; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1876466217873671.218 -------------- Searches starting with [191,809]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(191,809) = 0.6018756112529821212 D2(191,809) = 0.08069888787841545125 C1(191,809) = 0.8557881512052742178 C2(191,809) = 1.953217834398653260 C3(191,809) = 4.134897108235424916 C4(191,809) = 6472 Sum = 3880.723094022942755 Averaged sum = 0.3877233583797524982 logp*logq = 35.16816673160971608 -------------- ************************************* p = 191; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1900959805960398.505 -------------- Searches starting with [191,811]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(191,811) = 0.6395363137920717599 D2(191,811) = 0.07554985182216959369 C1(191,811) = 0.8764592941567793016 C2(191,811) = 1.948541087951172107 C3(191,811) = 4.279126346110126192 C4(191,811) = 6488 Sum = 4342.541313951758003 Averaged sum = 0.4338636541064799684 logp*logq = 35.18113531456398872 -------------- ************************************* p = 191; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2027342498060525.415 -------------- Searches starting with [191,821]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(191,821) = 0.9065801916681797250 D2(191,821) = 0.05101237593381956094 C1(191,821) = 1.386172953703762829 C2(191,821) = 1.926347427719605668 C3(191,821) = 9.966117011203954330 C4(191,821) = 6568 Sum = 3451.277506672213538 Averaged sum = 0.3448174149937269995 logp*logq = 35.24550221606983522 -------------- ************************************* p = 191; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2053416685305469.046 -------------- Searches starting with [191,823]-exponents: u = 23, v = 7 n_start has 73 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(191,823) = 0.9279079014523554609 D2(191,823) = 0.04302472273277613505 C1(191,823) = 1.214234472040301174 C2(191,823) = 1.785144280666423094 C3(191,823) = 7.493255760143839401 C4(191,823) = 6584 Sum = 3985.513473095286911 Averaged sum = 0.3981929736332587582 logp*logq = 35.25828147645703368 -------------- ************************************* p = 191; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2106379716243303.968 -------------- Searches starting with [191,827]-exponents: u = 23, v = 7 n_start has 73 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(191,827) = 0.8221784553055482890 D2(191,827) = 0.03450613527675273024 C1(191,827) = 1.162486187806297760 C2(191,827) = 1.777446459767930835 C3(191,827) = 6.876917558520749917 C4(191,827) = 6616 Sum = 4153.612477918422080 Averaged sum = 0.4149877588089141853 logp*logq = 35.28374709447982810 -------------- ************************************* p = 191; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2133272864499262.462 -------------- Searches starting with [191,829]-exponents: u = 23, v = 7 n_start has 73 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(191,829) = 0.5864195335278928782 D2(191,829) = 0.03033611075678118571 C1(191,829) = 0.8042187344745123972 C2(191,829) = 1.773685303009161056 C3(191,829) = 3.795917943109453919 C4(191,829) = 6632 Sum = 4113.741950673945168 Averaged sum = 0.4110042912053097380 logp*logq = 35.29643375144051055 -------------- ************************************* p = 191; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2271942087047210.278 -------------- Searches starting with [191,839]-exponents: u = 41, v = 7 n_start has 114 digits starting right neighbors generation We generated 618 left neighbors We generated 9392 right neighbors We generated 10009 non-negative rho_i D1(191,839) = 0.5655022265739414953 D2(191,839) = 0.009420978220483004394 C1(191,839) = 0.7734396488696805269 C2(191,839) = 1.605255499442662483 C3(191,839) = 3.606992037537005552 C4(191,839) = 6712 Sum = 4314.153742316120180 Averaged sum = 0.4310274495270376841 logp*logq = 35.35941140558873689 -------------- ************************************* p = 191; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2478253426740573.146 -------------- Searches starting with [191,853]-exponents: u = 230, v = 7 n_start has 546 digits --- performed 5000 steps in the continued fraction search [191,853]-exponents: u = 32, v = 138 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,853) = 0.7442529021543955880 D2(191,853) = 0.2124331229685907430 C1(191,853) = 0.9712564461091585763 C2(191,853) = 1.498113702427519071 C3(191,853) = 5.007742448511490734 C4(191,853) = 6824 Sum = 4969.644274392816153 Averaged sum = 0.4970141288521668320 logp*logq = 35.44633044356654408 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,853) = 0.7442529021543955880 D2(191,853) = 0.2124331229685907430 C1(191,853) = 0.9712564461091585763 C2(191,853) = 1.498113702427519071 C3(191,853) = 5.007742448511490734 C4(191,853) = 6824 Sum = 4969.644274392816153 Averaged sum = 0.4970141288521668320 logp*logq = 35.44633044356654408 -------------- ************************************* p = 191; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2539903613585072.853 -------------- Searches starting with [191,857]-exponents: u = 9, v = 1452 n_start has 4280 digits --- performed 5000 steps in the continued fraction search [191,857]-exponents: u = 57, v = 1412 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,857) = 0.6460591998769271866 D2(191,857) = 0.5518772139281189681 C1(191,857) = 0.7883064992816001543 C2(191,857) = 1.512563975862947974 C3(191,857) = 3.697042810332909571 C4(191,857) = 6856 Sum = 6116.749405979378509 Averaged sum = 0.6117361142093587867 logp*logq = 35.47090252781365776 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,857) = 0.6460591998769271866 D2(191,857) = 0.5518772139281189681 C1(191,857) = 0.7883064992816001543 C2(191,857) = 1.512563975862947974 C3(191,857) = 3.697042810332909571 C4(191,857) = 6856 Sum = 6116.749405979378509 Averaged sum = 0.6117361142093587867 logp*logq = 35.47090252781365776 -------------- ************************************* p = 191; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2571190959803539.564 -------------- Searches starting with [191,859]-exponents: u = 9, v = 262 n_start has 790 digits --- performed 5000 steps in the continued fraction search [191,859]-exponents: u = 212, v = 89 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,859) = 0.7167610146069580786 D2(191,859) = 0.2988616989807500139 C1(191,859) = 0.9210302850781870778 C2(191,859) = 1.494784147831555296 C3(191,859) = 4.607461382749687157 C4(191,859) = 6872 Sum = 5223.928272909027531 Averaged sum = 0.5224450717980825614 logp*logq = 35.48314559496113017 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(191,859) = 0.7167610146069580786 D2(191,859) = 0.2988616989807500139 C1(191,859) = 0.9210302850781870778 C2(191,859) = 1.494784147831555296 C3(191,859) = 4.607461382749687157 C4(191,859) = 6872 Sum = 5223.928272909027531 Averaged sum = 0.5224450717980825614 logp*logq = 35.48314559496113017 -------------- ************************************* p = 191; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2634701913118499.821 -------------- Searches starting with [191,863]-exponents: u = 9, v = 94 n_start has 297 digits --- performed 5000 steps in the continued fraction search [191,863]-exponents: u = 51, v = 1 --- starting right neighbors generation We generated 6512 left neighbors We generated 3498 right neighbors We generated 10009 non-negative rho_i D1(191,863) = 0.7750299688816758780 D2(191,863) = 0.007142934684001829407 C1(191,863) = 1.039129177486937378 C2(191,863) = 1.770928124409230854 C3(191,863) = 5.604461954667337393 C4(191,863) = 6904 Sum = 4569.431316179642856 Averaged sum = 0.4565322525906327161 logp*logq = 35.50754644455355441 -------------- ************************************* p = 191; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2867071759604935.594 -------------- Searches starting with [191,877]-exponents: u = 9, v = 31 n_start has 112 digits starting right neighbors generation We generated 596 left neighbors We generated 9414 right neighbors We generated 10009 non-negative rho_i D1(191,877) = 0.7372037909251645156 D2(191,877) = 0.004969660502659459846 C1(191,877) = 1.068686977640514672 C2(191,877) = 1.614991183111562304 C3(191,877) = 5.886075218539128172 C4(191,877) = 7016 Sum = 3144.871675829377487 Averaged sum = 0.3142043836376638513 logp*logq = 35.59206761100860333 -------------- ************************************* p = 191; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2936423628108940.927 -------------- Searches starting with [191,881]-exponents: u = 9, v = 24 n_start has 92 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(191,881) = 0.5648653859563937016 D2(191,881) = 0.01044510166986677345 C1(191,881) = 0.7674462332210146425 C2(191,881) = 1.686605778354156209 C3(191,881) = 3.571312407993967736 C4(191,881) = 7048 Sum = 4257.440511227523194 Averaged sum = 0.4253612260193349179 logp*logq = 35.61596878275755911 -------------- ************************************* p = 191; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2971605294578890.027 -------------- Searches starting with [191,883]-exponents: u = 9, v = 24 n_start has 92 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(191,883) = 0.7596724280352767292 D2(191,883) = 0.01310125405558540131 C1(191,883) = 1.126617776601890933 C2(191,883) = 1.689658136622088377 C3(191,883) = 6.479717973873113013 C4(191,883) = 7064 Sum = 3098.036422051014242 Averaged sum = 0.3095250696424232433 logp*logq = 35.62787870493125432 -------------- ************************************* p = 191; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3042992600828915.626 -------------- Searches starting with [191,887]-exponents: u = 9, v = 17 n_start has 71 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(191,887) = 0.6496694062683087130 D2(191,887) = 0.01945980780941135929 C1(191,887) = 0.8928709121975180155 C2(191,887) = 1.788261464870056824 C3(191,887) = 4.397209675436970678 C4(191,887) = 7096 Sum = 4344.694655903068266 Averaged sum = 0.4340787946750992373 logp*logq = 35.65161783428425078 -------------- ************************************* p = 191; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3421071605857587.516 -------------- Searches starting with [191,907]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(191,907) = 1.028865477741554905 D2(191,907) = 0.05256505114592907936 C1(191,907) = 1.368108207496156276 C2(191,907) = 1.969361809234906633 C3(191,907) = 9.671928787309449179 C4(191,907) = 7256 Sum = 4292.586481768773490 Averaged sum = 0.4288726627803750115 logp*logq = 35.76873023195210360 -------------- ************************************* p = 191; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3501061431462698.352 -------------- Searches starting with [191,911]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(191,911) = 0.6378516919347685508 D2(191,911) = 0.05909445219738762504 C1(191,911) = 0.9111466546405323936 C2(191,911) = 1.976681570107441923 C3(191,911) = 4.532544296246003461 C4(191,911) = 7288 Sum = 3640.890846845856649 Averaged sum = 0.3637616991553458536 logp*logq = 35.79184258356237437 -------------- ************************************* p = 191; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3665585208528590.066 -------------- Searches starting with [191,919]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(191,919) = 0.7200495570808751118 D2(191,919) = 0.06776666159235422882 C1(191,919) = 1.185804073714466411 C2(191,919) = 1.403060803815347017 C3(191,919) = 7.148102884176834063 C4(191,919) = 7352 Sum = 4300.492114589384646 Averaged sum = 0.4296625151952627282 logp*logq = 35.83776439240810082 -------------- ************************************* p = 191; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3879985196692651.059 -------------- Searches starting with [191,929]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(191,929) = 0.6664820261332473662 D2(191,929) = 0.06164606774015275410 C1(191,929) = 0.9025868551033288891 C2(191,929) = 2.115533787323737608 C3(191,929) = 4.468646788092326823 C4(191,929) = 7432 Sum = 3993.925116438733126 Averaged sum = 0.3990333816004329229 logp*logq = 35.89460773325318990 -------------- ************************************* p = 191; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4058718100356024.717 -------------- Searches starting with [191,937]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(191,937) = 0.6753274599436781574 D2(191,937) = 0.03090862695260837272 C1(191,937) = 0.8898993166548039313 C2(191,937) = 2.086666213278120519 C3(191,937) = 4.375589726696062526 C4(191,937) = 7496 Sum = 4008.134351715873689 Averaged sum = 0.4004530274468851722 logp*logq = 35.93964357983976267 -------------- ************************************* p = 191; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4150551099472634.681 -------------- Searches starting with [191,941]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(191,941) = 0.7307876024627299454 D2(191,941) = 0.01642378127598462082 C1(191,941) = 1.013304876983404551 C2(191,941) = 2.073110259849486915 C3(191,941) = 5.369470485305667243 C4(191,941) = 7528 Sum = 4192.941311590998539 Averaged sum = 0.4189171057639123328 logp*logq = 35.96201751539045648 -------------- ************************************* p = 191; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4291448521665480.454 -------------- Searches starting with [191,947]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(191,947) = 0.5958559045569443945 D2(191,947) = 0.1139490237488362684 C1(191,947) = 0.8073619430963563945 C2(191,947) = 1.908186342075201395 C3(191,947) = 3.815759705893934927 C4(191,947) = 7576 Sum = 4099.638939395119579 Averaged sum = 0.4095952582071255449 logp*logq = 35.99540072159730309 -------------- ************************************* p = 191; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4436193505631412.498 -------------- Searches starting with [191,953]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(191,953) = 0.6363983600995070945 D2(191,953) = 0.1246342046536910101 C1(191,953) = 0.8902135145698046052 C2(191,953) = 1.919952031087488655 C3(191,953) = 4.377870650098477349 C4(191,953) = 7624 Sum = 4237.639712245314247 Averaged sum = 0.4233829265905998848 logp*logq = 36.02857308509560883 -------------- ************************************* p = 191; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4789345206033735.531 -------------- Searches starting with [191,967]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(191,967) = 0.8104273875099885604 D2(191,967) = 0.1159015018286583775 C1(191,967) = 1.109901121689870952 C2(191,967) = 2.069663586507985580 C3(191,967) = 6.302521068996816669 C4(191,967) = 7736 Sum = 4098.664298945901013 Averaged sum = 0.4094978818009692290 logp*logq = 36.10517009678745960 -------------- ************************************* p = 191; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4894318017094043.761 -------------- Searches starting with [191,971]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(191,971) = 0.7438045222205363069 D2(191,971) = 0.09237688569303301458 C1(191,971) = 1.051670004846748955 C2(191,971) = 2.047003720752662409 C3(191,971) = 5.722261186270516862 C4(191,971) = 7768 Sum = 4331.785113179213473 Averaged sum = 0.4327890012168262037 logp*logq = 36.12685133883634588 -------------- ************************************* p = 191; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5055263174613513.230 -------------- Searches starting with [191,977]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(191,977) = 0.6385281340978954029 D2(191,977) = 0.05988269241824692487 C1(191,977) = 0.8700422430183348398 C2(191,977) = 2.015799942949019872 C3(191,977) = 4.233822085715076115 C4(191,977) = 7816 Sum = 4189.906647075077667 Averaged sum = 0.4186139121865398808 logp*logq = 36.15920630826601244 -------------- ************************************* p = 191; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5220466626212460.403 -------------- Searches starting with [191,983]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(191,983) = 1.004221549029538814 D2(191,983) = 0.03010551287262971912 C1(191,983) = 1.339848242928993093 C2(191,983) = 1.987305214747070742 C3(191,983) = 9.229030904934798118 C4(191,983) = 7864 Sum = 4365.125777617817018 Averaged sum = 0.4361200696990525545 logp*logq = 36.19136318480473056 -------------- ************************************* p = 191; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5447510097458057.804 -------------- Searches starting with [191,991]-exponents: u = 21, v = 3 n_start has 57 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(191,991) = 0.6967561014191490475 D2(191,991) = 0.1519481986075511738 C1(191,991) = 0.9548743157768413263 C2(191,991) = 2.031087447683489169 C3(191,991) = 4.873502138069329126 C4(191,991) = 7928 Sum = 4462.769407905564044 Averaged sum = 0.4458756527031235932 logp*logq = 36.23393503634047588 -------------- ************************************* p = 191; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5622984661232212.394 -------------- Searches starting with [191,997]-exponents: u = 21, v = 3 n_start has 57 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(191,997) = 0.7761278885683256834 D2(191,997) = 0.1051839296327163869 C1(191,997) = 1.046452553402862886 C2(191,997) = 1.985546592965127848 C3(191,997) = 5.672954490809657947 C4(191,997) = 7976 Sum = 4386.400488578047939 Averaged sum = 0.4382456277927912817 logp*logq = 36.26563899635507169 -------------- ************************************* p = 193; q = 197; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1188679840154.321831 -------------- Searches starting with [193,197]-exponents: u = 1, v = 256 n_start has 590 digits --- performed 5000 steps in the continued fraction search [193,197]-exponents: u = 70, v = 167 --- starting right neighbors generation We generated 8434 left neighbors We generated 1576 right neighbors We generated 10009 non-negative rho_i D1(193,197) = 0.6479726826759367645 D2(193,197) = 0.001410923936229104330 C1(193,197) = 0.8417523878509281773 C2(193,197) = 1.042552464906644564 C3(193,197) = 4.046489252785881545 C4(193,197) = 1576 Sum = 5414.343294284588837 Averaged sum = 0.5409474766994293972 logp*logq = 27.80386442921512046 -------------- ************************************* p = 193; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1253578488373.794162 -------------- Searches starting with [193,199]-exponents: u = 1, v = 171 n_start has 396 digits starting right neighbors generation We generated 3725 left neighbors We generated 6285 right neighbors We generated 10009 non-negative rho_i D1(193,199) = 0.8509933461728838096 D2(193,199) = 0.006863747106661441533 C1(193,199) = 1.125224981380721624 C2(193,199) = 1.111051279896520839 C3(193,199) = 6.479194808634849375 C4(193,199) = 1592 Sum = 5273.045409274816722 Averaged sum = 0.5268303935732657330 logp*logq = 27.85702336796048099 -------------- ************************************* p = 193; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1705997827337.491222 -------------- Searches starting with [193,211]-exponents: u = 1, v = 59 n_start has 140 digits starting right neighbors generation We generated 512 left neighbors We generated 9498 right neighbors We generated 10009 non-negative rho_i D1(193,211) = 1.099817936048069809 D2(193,211) = 0.02473436319099105994 C1(193,211) = 1.545898308248501526 C2(193,211) = 1.344988797364986900 C3(193,211) = 13.02908520839789902 C4(193,211) = 1688 Sum = 3761.960854622306316 Averaged sum = 0.3758578134301435024 logp*logq = 28.16517129145530858 -------------- ************************************* p = 193; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2282448374932.826289 -------------- Searches starting with [193,223]-exponents: u = 1, v = 36 n_start has 87 digits starting right neighbors generation We generated 212 left neighbors We generated 9798 right neighbors We generated 10009 non-negative rho_i D1(193,223) = 0.6383397996968655959 D2(193,223) = 0.02150069678976265603 C1(193,223) = 0.8838654548971262729 C2(193,223) = 1.474235420632748285 C3(193,223) = 4.339609626144960171 C4(193,223) = 1784 Sum = 4458.997823830612008 Averaged sum = 0.4454988334329715264 logp*logq = 28.45626983138661704 -------------- ************************************* p = 193; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2506306402030.187736 -------------- Searches starting with [193,227]-exponents: u = 1, v = 32 n_start has 78 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(193,227) = 0.6527392775653600179 D2(193,227) = 0.05801014610653843985 C1(193,227) = 0.9105384982505760009 C2(193,227) = 1.541588593275827679 C3(193,227) = 4.536150665038578982 C4(193,227) = 1816 Sum = 4406.103948971143797 Averaged sum = 0.4402142021152106901 logp*logq = 28.54983123229876522 -------------- ************************************* p = 193; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2624720361490.425525 -------------- Searches starting with [193,229]-exponents: u = 1, v = 30 n_start has 74 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(193,229) = 0.6568548150775649098 D2(193,229) = 0.01986292934340284782 C1(193,229) = 0.8820330673435097922 C2(193,229) = 1.525971370088591635 C3(193,229) = 4.326424523813106433 C4(193,229) = 1832 Sum = 4479.017191641189437 Averaged sum = 0.4474989700910370104 logp*logq = 28.59599547734149466 -------------- ************************************* p = 193; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2875151800401.028710 -------------- Searches starting with [193,233]-exponents: u = 1, v = 27 n_start has 67 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(193,233) = 0.8947552609771355457 D2(193,233) = 0.06121934211033334521 C1(193,233) = 1.336019867424637532 C2(193,233) = 1.593460911478288101 C3(193,233) = 9.194919996677581779 C4(193,233) = 1864 Sum = 4686.083490260605306 Averaged sum = 0.4681869807433914782 logp*logq = 28.68712658892347192 -------------- ************************************* p = 193; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3286785017622.147710 -------------- Searches starting with [193,239]-exponents: u = 1, v = 24 n_start has 60 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(193,239) = 0.6044485034492452480 D2(193,239) = 0.06001064190476756153 C1(193,239) = 0.8113265849036403579 C2(193,239) = 1.636949372139617183 C3(193,239) = 3.847114079422960575 C4(193,239) = 1912 Sum = 4577.872451997230070 Averaged sum = 0.4573756071532850504 logp*logq = 28.82093100464516238 -------------- ************************************* p = 193; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3434137814724.524933 -------------- Searches starting with [193,241]-exponents: u = 1, v = 23 n_start has 58 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(193,241) = 0.6674602025911130990 D2(193,241) = 0.04199138176638592610 C1(193,241) = 0.9249899741940694277 C2(193,241) = 1.635636062548839491 C3(193,241) = 4.646329318903589868 C4(193,241) = 1928 Sum = 4394.869471320654661 Averaged sum = 0.4390917645439758878 logp*logq = 28.86478701001687213 -------------- ************************************* p = 193; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4253430594769.722125 -------------- Searches starting with [193,251]-exponents: u = 1, v = 20 n_start has 51 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(193,251) = 1.040958664339117207 D2(193,251) = 0.07631303100438563597 C1(193,251) = 1.608764705406369447 C2(193,251) = 1.729645495617320062 C3(193,251) = 14.46284262630521562 C4(193,251) = 2008 Sum = 1998.014967716744376 Averaged sum = 0.1996218371182679964 logp*logq = 29.07874697202450283 -------------- ************************************* p = 193; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4816498219440.065172 -------------- Searches starting with [193,257]-exponents: u = 1, v = 18 n_start has 46 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(193,257) = 0.5737704950765359156 D2(193,257) = 0.005667187034978654370 C1(193,257) = 0.8084384620499446861 C2(193,257) = 1.706100368218302231 C3(193,257) = 3.828706962033851562 C4(193,257) = 2056 Sum = 4532.886210941245007 Averaged sum = 0.4528810281687726053 logp*logq = 29.20306826946480701 -------------- ************************************* p = 193; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5438477988957.963895 -------------- Searches starting with [193,263]-exponents: u = 1, v = 17 n_start has 44 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(193,263) = 1.387910415369047630 D2(193,263) = 0.03400161048343175129 C1(193,263) = 2.185329634951812361 C2(193,263) = 1.762850727598379067 C3(193,263) = 37.67704096451345085 C4(193,263) = 2104 Sum = 1867.856767957534981 Averaged sum = 0.1866177208469912061 logp*logq = 29.32452035620871945 -------------- ************************************* p = 193; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6123976076402.689232 -------------- Searches starting with [193,269]-exponents: u = 1, v = 15 n_start has 39 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(193,269) = 0.6626498215940653438 D2(193,269) = 0.03766299319347109355 C1(193,269) = 1.051051334604974743 C2(193,269) = 1.797434996119089973 C3(193,269) = 5.728308843768071451 C4(193,269) = 2152 Sum = 4525.558243815883445 Averaged sum = 0.4521488903802461230 logp*logq = 29.44323268718511550 -------------- ************************************* p = 193; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6367421756150.338692 -------------- Searches starting with [193,271]-exponents: u = 1, v = 15 n_start has 39 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(193,271) = 1.120222614205669048 D2(193,271) = 0.09302774815424649578 C1(193,271) = 1.652267388687531844 C2(193,271) = 1.853964078251338364 C3(193,271) = 15.54633905895793466 C4(193,271) = 2168 Sum = 4662.434950866732831 Averaged sum = 0.4658242532587404167 logp*logq = 29.48221575572300784 -------------- ************************************* p = 193; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7145198810469.255185 -------------- Searches starting with [193,277]-exponents: u = 1, v = 14 n_start has 37 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(193,277) = 0.6443296637562179685 D2(193,277) = 0.06387612910017650377 C1(193,277) = 0.8724093429053422973 C2(193,277) = 1.858719302630355971 C3(193,277) = 4.257831067590460560 C4(193,277) = 2216 Sum = 4348.954838304254986 Averaged sum = 0.4345044298435662889 logp*logq = 29.59746175204142780 -------------- ************************************* p = 193; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7705178874946.714390 -------------- Searches starting with [193,281]-exponents: u = 1, v = 14 n_start has 37 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(193,281) = 1.301541739477808039 D2(193,281) = 0.09597195452964364916 C1(193,281) = 2.099691481327295060 C2(193,281) = 1.039104066966505431 C3(193,281) = 32.68239560514617287 C4(193,281) = 2248 Sum = 1555.924931476545498 Averaged sum = 0.1554525858204161752 logp*logq = 29.67291379986875401 -------------- ************************************* p = 193; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7998202942686.317477 -------------- Searches starting with [193,283]-exponents: u = 1, v = 13 n_start has 35 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(193,283) = 1.230392805936368491 D2(193,283) = 0.01130103083403428436 C1(193,283) = 1.731489954634179395 C2(193,283) = 1.843686116384736318 C3(193,283) = 17.73225908288361249 C4(193,283) = 2264 Sum = 5975.782562687897735 Averaged sum = 0.5970409194412926102 logp*logq = 29.71023800021059030 -------------- ************************************* p = 193; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9601962885682.836315 -------------- Searches starting with [193,293]-exponents: u = 1, v = 12 n_start has 32 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(193,293) = 0.7503171340275260496 D2(193,293) = 0.01113878441152090323 C1(193,293) = 1.045616594971109109 C2(193,293) = 1.887763977773873295 C3(193,293) = 5.676842542275591748 C4(193,293) = 2344 Sum = 4637.096855612339755 Averaged sum = 0.4632927221113337751 logp*logq = 29.89298866076038656 -------------- ************************************* p = 193; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12275486897163.71049 -------------- Searches starting with [193,307]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(193,307) = 0.9485423677738757910 D2(193,307) = 0.03697348213098693667 C1(193,307) = 1.384776227126439585 C2(193,307) = 1.965523573310063737 C3(193,307) = 9.970373368611578585 C4(193,307) = 2456 Sum = 4666.045394534280523 Averaged sum = 0.4661849729777480790 logp*logq = 30.13862545457918492 -------------- ************************************* p = 193; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13140916103937.18784 -------------- Searches starting with [193,311]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(193,311) = 1.018539923743952225 D2(193,311) = 0.06440460619511196324 C1(193,311) = 1.699284808134927952 C2(193,311) = 1.087959525379883967 C3(193,311) = 16.80882923416269187 C4(193,311) = 2488 Sum = 3576.522031023908518 Averaged sum = 0.3573306055573892015 logp*logq = 30.20675184527145685 -------------- ************************************* p = 193; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13591791418923.88210 -------------- Searches starting with [193,313]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(193,313) = 0.6887240824152241274 D2(193,313) = 0.09951034968381549590 C1(193,313) = 1.148992628552893019 C2(193,313) = 1.338988226712596021 C3(193,313) = 6.740039637918556804 C4(193,313) = 2504 Sum = 4531.363692370953313 Averaged sum = 0.4527289132152016498 logp*logq = 30.24048715430961500 -------------- ************************************* p = 193; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14531151849508.00006 -------------- Searches starting with [193,317]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(193,317) = 0.7419611222227576792 D2(193,317) = 0.09417098956074542387 C1(193,317) = 1.045412298387894680 C2(193,317) = 1.762638798884118430 C3(193,317) = 5.674916923153926371 C4(193,317) = 2536 Sum = 4507.276584611201456 Averaged sum = 0.4503223683296234844 logp*logq = 30.30731586425090641 -------------- ************************************* p = 193; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18242067591753.74174 -------------- Searches starting with [193,331]-exponents: u = 1, v = 9 n_start has 25 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(193,331) = 0.7989158469882381968 D2(193,331) = 0.07299138926436661988 C1(193,331) = 1.151658003800151811 C2(193,331) = 1.788028367914328484 C3(193,331) = 6.769938758612271368 C4(193,331) = 2648 Sum = 3673.019948106286493 Averaged sum = 0.3669717202623924960 logp*logq = 30.53475144896162282 -------------- ************************************* p = 193; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20050863501859.59853 -------------- Searches starting with [193,337]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(193,337) = 0.6849587220058949038 D2(193,337) = 0.05831112160173193433 C1(193,337) = 0.9353214012025511333 C2(193,337) = 1.631088451830966818 C3(193,337) = 4.726733250526330080 C4(193,337) = 2696 Sum = 4532.492267228426810 Averaged sum = 0.4528416692205441912 logp*logq = 30.62929333617817038 -------------- ************************************* p = 193; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23386595473556.73553 -------------- Searches starting with [193,347]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(193,347) = 1.025622972928438114 D2(193,347) = 0.03522242417888316087 C1(193,347) = 1.765310265110228800 C2(193,347) = 1.091033987476569730 C3(193,347) = 18.75666146209212547 C4(193,347) = 2776 Sum = 4135.659586025884079 Averaged sum = 0.4131940839270540592 logp*logq = 30.78318413114456451 -------------- ************************************* p = 193; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24104738619357.02544 -------------- Searches starting with [193,349]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(193,349) = 0.6668241303625597836 D2(193,349) = 0.04749381661008852710 C1(193,349) = 1.147742897169253275 C2(193,349) = 1.818075611380893447 C3(193,349) = 6.726066155498512016 C4(193,349) = 2792 Sum = 4508.033009441775212 Averaged sum = 0.4503979427956614260 logp*logq = 30.81342956030718277 -------------- ************************************* p = 193; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25594635297105.85125 -------------- Searches starting with [193,353]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(193,353) = 0.8124910016429115252 D2(193,353) = 0.04183573780763317482 C1(193,353) = 1.132259216498139953 C2(193,353) = 1.814603545241193361 C3(193,353) = 6.555324324238491508 C4(193,353) = 2824 Sum = 4695.589613220789652 Averaged sum = 0.4691367382576470828 logp*logq = 30.87340388674676845 -------------- ************************************* p = 193; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27968584443894.70978 -------------- Searches starting with [193,359]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(193,359) = 0.7951206492552679886 D2(193,359) = 0.03068042325934010655 C1(193,359) = 1.243562958273117459 C2(193,359) = 1.651762548048702043 C3(193,359) = 7.886191348009896663 C4(193,359) = 2872 Sum = 4033.980898593144587 Averaged sum = 0.4030353580370810858 logp*logq = 30.96210301206172280 -------------- ************************************* p = 193; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31408191784974.36980 -------------- Searches starting with [193,367]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(193,367) = 0.6513245696158528940 D2(193,367) = 0.01841353320919306190 C1(193,367) = 0.8680634585856998067 C2(193,367) = 1.437129207293932993 C3(193,367) = 4.227213090459250092 C4(193,367) = 2936 Sum = 4089.445902519213700 Averaged sum = 0.4085768710679602058 logp*logq = 31.07808985969001047 -------------- ************************************* p = 193; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34206358093691.50531 -------------- Searches starting with [193,373]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(193,373) = 1.237328996328991452 D2(193,373) = 0.01067910239311485514 C1(193,373) = 2.172490990910586163 C2(193,373) = 0.9899561065127083024 C3(193,373) = 36.88225422623650297 C4(193,373) = 2984 Sum = 3208.572590018559228 Averaged sum = 0.3205687471294394273 logp*logq = 31.16343265189040526 -------------- ************************************* p = 193; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37203112116526.28011 -------------- Searches starting with [193,379]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(193,379) = 0.9536240028605242925 D2(193,379) = 0.008486520470121956243 C1(193,379) = 1.372109477324693874 C2(193,379) = 1.850115434324116938 C3(193,379) = 9.762837556966418940 C4(193,379) = 3032 Sum = 5014.054380812828427 Averaged sum = 0.5009545789602186458 logp*logq = 31.24741353275483160 -------------- ************************************* p = 193; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39316499481147.34405 -------------- Searches starting with [193,383]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(193,383) = 0.7462948340209840023 D2(193,383) = 0.003598089754961938474 C1(193,383) = 1.126700596582833459 C2(193,383) = 1.847295640024546504 C3(193,383) = 6.495091344208817269 C4(193,383) = 3064 Sum = 3821.826088930690555 Averaged sum = 0.3818389538346178993 logp*logq = 31.30266538082396273 -------------- ************************************* p = 193; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42668006900476.45360 -------------- Searches starting with [193,389]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(193,389) = 0.9820901932642168983 D2(193,389) = 0.1143189052310613361 C1(193,389) = 1.557753884326699649 C2(193,389) = 1.148900869905821710 C3(193,389) = 13.28814193490160541 C4(193,389) = 3112 Sum = 3087.457143833925310 Averaged sum = 0.3084680930996028884 logp*logq = 31.38447050241663451 -------------- ************************************* p = 193; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47492967121375.44094 -------------- Searches starting with [193,397]-exponents: u = 25, v = 7 n_start has 76 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(193,397) = 0.6110770013386085671 D2(193,397) = 0.08653375273141472813 C1(193,397) = 0.8407255518832763271 C2(193,397) = 1.770480621421534515 C3(193,397) = 4.039595029552439163 C4(193,397) = 3176 Sum = 4440.273308119106057 Averaged sum = 0.4436280655529129840 logp*logq = 31.49160275540446837 -------------- ************************************* p = 193; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50065937179125.81851 -------------- Searches starting with [193,401]-exponents: u = 41, v = 7 n_start has 112 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(193,401) = 0.8170281993915991164 D2(193,401) = 0.04674042215203693398 C1(193,401) = 1.182388449712169831 C2(193,401) = 1.732604652507632577 C3(193,401) = 7.124391510400208053 C4(193,401) = 3208 Sum = 3464.171958948931036 Averaged sum = 0.3461057007642053188 logp*logq = 31.54436199616060602 -------------- ************************************* p = 193; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55550839842405.38350 -------------- Searches starting with [193,409]-exponents: u = 1089, v = 7 n_start has 2508 digits --- performed 5000 steps in the continued fraction search [193,409]-exponents: u = 405, v = 601 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,409) = 0.8068292654813708691 D2(193,409) = 0.5109177051007686721 C1(193,409) = 0.9984282846253509671 C2(193,409) = 1.446360322037914667 C3(193,409) = 5.248972177219812526 C4(193,409) = 3272 Sum = 6010.163952497266265 Averaged sum = 0.6010765029000166281 logp*logq = 31.64831975057506561 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,409) = 0.8068292654813708691 D2(193,409) = 0.5109177051007686721 C1(193,409) = 0.9984282846253509671 C2(193,409) = 1.446360322037914667 C3(193,409) = 5.248972177219812526 C4(193,409) = 3272 Sum = 6010.163952497266265 Averaged sum = 0.6010765029000166281 logp*logq = 31.64831975057506561 -------------- ************************************* p = 193; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63081209515398.40929 -------------- Searches starting with [193,419]-exponents: u = 8, v = 27 n_start has 90 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(193,419) = 0.7404746926582500442 D2(193,419) = 0.03234918288443195506 C1(193,419) = 0.9865446128551769368 C2(193,419) = 1.574023238896326683 C3(193,419) = 5.146401606053305364 C4(193,419) = 3352 Sum = 4354.130801783284488 Averaged sum = 0.4350215607736321798 logp*logq = 31.77544405214835012 -------------- ************************************* p = 193; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64682029582701.54288 -------------- Searches starting with [193,421]-exponents: u = 8, v = 20 n_start has 71 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(193,421) = 0.9547115649362105782 D2(193,421) = 0.04658481291279329254 C1(193,421) = 1.416400660332621002 C2(193,421) = 1.664441417597206981 C3(193,421) = 10.50797933477380929 C4(193,421) = 3368 Sum = 4480.394763259036903 Averaged sum = 0.4476366033828591171 logp*logq = 31.80050452897479574 -------------- ************************************* p = 193; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73187629786367.72438 -------------- Searches starting with [193,431]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(193,431) = 0.7641945131704288009 D2(193,431) = 0.1249288037312405495 C1(193,431) = 1.017131509582102298 C2(193,431) = 1.859083236315668799 C3(193,431) = 5.414560149027146546 C4(193,431) = 3448 Sum = 4127.045695490111730 Averaged sum = 0.4123334694265272984 logp*logq = 31.92404753062554695 -------------- ************************************* p = 193; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74992699188512.24548 -------------- Searches starting with [193,433]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(193,433) = 0.9643059524047998957 D2(193,433) = 0.09941365558599780855 C1(193,433) = 1.246228273492257397 C2(193,433) = 1.210787957181017522 C3(193,433) = 7.921174059907221791 C4(193,433) = 3464 Sum = 3978.209631031191329 Averaged sum = 0.3974632461815557327 logp*logq = 31.94841188057343901 -------------- ************************************* p = 193; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80625441386298.36019 -------------- Searches starting with [193,439]-exponents: u = 15, v = 6 n_start has 51 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(193,439) = 0.7883052438727233821 D2(193,439) = 0.09868609552932573174 C1(193,439) = 1.150850740541050946 C2(193,439) = 1.856128438184268199 C3(193,439) = 6.760869224816432006 C4(193,439) = 3512 Sum = 3685.737182044683067 Averaged sum = 0.3682423001343473940 logp*logq = 32.02083536558823878 -------------- ************************************* p = 193; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84567389745054.82074 -------------- Searches starting with [193,443]-exponents: u = 15, v = 6 n_start has 51 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(193,443) = 1.389126791653869882 D2(193,443) = 0.06502421476682081921 C1(193,443) = 2.135428906853666969 C2(193,443) = 1.824254172943463421 C3(193,443) = 34.68071102467272045 C4(193,443) = 3544 Sum = 4996.275205258783083 Averaged sum = 0.4991782600917956921 logp*logq = 32.06856984422393488 -------------- ************************************* p = 193; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90771768604568.49304 -------------- Searches starting with [193,449]-exponents: u = 29, v = 6 n_start has 83 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(193,449) = 0.5990875219908942059 D2(193,449) = 0.02005562019782663485 C1(193,449) = 0.8180653312317081047 C2(193,449) = 1.781936477886372743 C3(193,449) = 3.890407566102764678 C4(193,449) = 3592 Sum = 4169.994292470681138 Averaged sum = 0.4166244672265642060 logp*logq = 32.13936943473874392 -------------- ************************************* p = 193; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99612740739320.49463 -------------- Searches starting with [193,457]-exponents: u = 64, v = 6 n_start has 163 digits starting right neighbors generation We generated 2042 left neighbors We generated 7968 right neighbors We generated 10009 non-negative rho_i D1(193,457) = 1.406065893396299388 D2(193,457) = 0.005130168999067854400 C1(193,457) = 1.882078483747162289 C2(193,457) = 1.662612295818683495 C3(193,457) = 22.77034917865527187 C4(193,457) = 3656 Sum = 4567.908068887777260 Averaged sum = 0.4563800648304303387 logp*logq = 32.23231119140763713 -------------- ************************************* p = 193; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104287612773450.1192 -------------- Searches starting with [193,461]-exponents: u = 155, v = 6 n_start has 371 digits --- performed 5000 steps in the continued fraction search [193,461]-exponents: u = 45, v = 63 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,461) = 0.5691981623120241908 D2(193,461) = 0.03324354475087366638 C1(193,461) = 0.8037281842530669406 C2(193,461) = 1.452925269828520474 C3(193,461) = 3.798875309079424726 C4(193,461) = 3688 Sum = 4872.007077296279539 Averaged sum = 0.4872494326728952434 logp*logq = 32.27817370552688755 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,461) = 0.5691981623120241908 D2(193,461) = 0.03324354475087366638 C1(193,461) = 0.8037281842530669406 C2(193,461) = 1.452925269828520474 C3(193,461) = 3.798875309079424726 C4(193,461) = 3688 Sum = 4872.007077296279539 Averaged sum = 0.4872494326728952434 logp*logq = 32.27817370552688755 -------------- ************************************* p = 193; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106690789571206.3871 -------------- Searches starting with [193,463]-exponents: u = 491, v = 6 n_start has 1139 digits --- performed 5000 steps in the continued fraction search [193,463]-exponents: u = 79, v = 349 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,463) = 0.7782794942298972620 D2(193,463) = 0.3743495585666688978 C1(193,463) = 0.9868578099308957492 C2(193,463) = 1.424654590391354621 C3(193,463) = 5.149078988572999497 C4(193,463) = 3704 Sum = 5575.064998202887620 Averaged sum = 0.5575622560458933513 logp*logq = 32.30095594971570990 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,463) = 0.7782794942298972620 D2(193,463) = 0.3743495585666688978 C1(193,463) = 0.9868578099308957492 C2(193,463) = 1.424654590391354621 C3(193,463) = 5.149078988572999497 C4(193,463) = 3704 Sum = 5575.064998202887620 Averaged sum = 0.5575622560458933513 logp*logq = 32.30095594971570990 -------------- ************************************* p = 193; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111631756529503.2475 -------------- Searches starting with [193,467]-exponents: u = 7, v = 131 n_start has 366 digits --- performed 5000 steps in the continued fraction search [193,467]-exponents: u = 63, v = 45 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,467) = 0.5782940297625056549 D2(193,467) = 0.01614196814534136785 C1(193,467) = 0.8239706581249340113 C2(193,467) = 1.478354046873978265 C3(193,467) = 3.928747059931366279 C4(193,467) = 3736 Sum = 4857.295044019453533 Averaged sum = 0.4857780822101663699 logp*logq = 32.34622668211315418 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,467) = 0.5782940297625056549 D2(193,467) = 0.01614196814534136785 C1(193,467) = 0.8239706581249340113 C2(193,467) = 1.478354046873978265 C3(193,467) = 3.928747059931366279 C4(193,467) = 3736 Sum = 4857.295044019453533 Averaged sum = 0.4857780822101663699 logp*logq = 32.34622668211315418 -------------- ************************************* p = 193; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 127577888327412.0724 -------------- Searches starting with [193,479]-exponents: u = 7, v = 23 n_start has 78 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(193,479) = 1.590440179120245443 D2(193,479) = 0.07542116073932039052 C1(193,479) = 2.133908131988041362 C2(193,479) = 1.769694363645400832 C3(193,479) = 34.59323667079213998 C4(193,479) = 3832 Sum = 4772.453149606745745 Averaged sum = 0.4768161803983160900 logp*logq = 32.47974818285284451 -------------- ************************************* p = 193; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139197776029106.3914 -------------- Searches starting with [193,487]-exponents: u = 7, v = 17 n_start has 62 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(193,487) = 0.6238980503487025829 D2(193,487) = 0.02469642998993250525 C1(193,487) = 0.9698057210411252160 C2(193,487) = 1.722439607038627556 C3(193,487) = 5.005315464932103153 C4(193,487) = 3896 Sum = 4112.378471114388285 Averaged sum = 0.4108680658521718738 logp*logq = 32.56691688689884040 -------------- ************************************* p = 193; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145320929202296.8291 -------------- Searches starting with [193,491]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(193,491) = 0.9675686251376431511 D2(193,491) = 0.04613854682718547234 C1(193,491) = 1.342070574545203385 C2(193,491) = 1.869665361717201695 C3(193,491) = 9.287776842735394697 C4(193,491) = 3928 Sum = 5125.952681530628683 Averaged sum = 0.5121343472405463766 logp*logq = 32.60996571744151430 -------------- ************************************* p = 193; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 158222145813241.2920 -------------- Searches starting with [193,499]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(193,499) = 0.6310425362361747232 D2(193,499) = 0.08805100797556673889 C1(193,499) = 0.8669257917381635544 C2(193,499) = 1.914444264093005807 C3(193,499) = 4.219234334769185038 C4(193,499) = 3992 Sum = 4471.649941740627035 Averaged sum = 0.4467629075572611684 logp*logq = 32.69502114764220326 -------------- ************************************* p = 193; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 165011924577110.2200 -------------- Searches starting with [193,503]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(193,503) = 1.054989800499170483 D2(193,503) = 0.06307163910747412753 C1(193,503) = 1.738028911808549112 C2(193,503) = 1.105166287962820236 C3(193,503) = 17.92586060817472108 C4(193,503) = 4024 Sum = 2976.143287668667409 Averaged sum = 0.2973467167218171055 logp*logq = 32.73703885738207067 -------------- ************************************* p = 193; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175637447607191.0426 -------------- Searches starting with [193,509]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(193,509) = 0.8083848219044499649 D2(193,509) = 0.06620307466226064445 C1(193,509) = 1.161039690802605253 C2(193,509) = 1.922252695394726762 C3(193,509) = 6.876237776278779393 C4(193,509) = 4072 Sum = 4445.173122048350575 Averaged sum = 0.4441176063591118569 logp*logq = 32.79944302956014981 -------------- ************************************* p = 193; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 198552441280768.1295 -------------- Searches starting with [193,521]-exponents: u = 19, v = 5 n_start has 58 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(193,521) = 0.9033822901943959730 D2(193,521) = 0.1493840915185411463 C1(193,521) = 1.265474034310532159 C2(193,521) = 1.891173704749512172 C3(193,521) = 8.178426396017244926 C4(193,521) = 4168 Sum = 4960.761614634571881 Averaged sum = 0.4956300943785165232 logp*logq = 32.92207436897677223 -------------- ************************************* p = 193; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 202596606446454.7165 -------------- Searches starting with [193,523]-exponents: u = 19, v = 5 n_start has 58 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(193,523) = 0.5836229907503431395 D2(193,523) = 0.1236509181916910341 C1(193,523) = 0.7886404917988639330 C2(193,523) = 1.866194577814158760 C3(193,523) = 3.704876003125861448 C4(193,523) = 4184 Sum = 4277.933416490974747 Averaged sum = 0.4274086738426390995 logp*logq = 32.94223795758534917 -------------- ************************************* p = 193; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242086421857933.9688 -------------- Searches starting with [193,541]-exponents: u = 55, v = 5 n_start has 140 digits starting right neighbors generation We generated 1236 left neighbors We generated 8774 right neighbors We generated 10009 non-negative rho_i D1(193,541) = 0.7111596994303685020 D2(193,541) = 0.03992288381868578469 C1(193,541) = 0.9596005805711637545 C2(193,541) = 1.647064748790623612 C3(193,541) = 4.921204671185599516 C4(193,541) = 4328 Sum = 4355.783284782594779 Averaged sum = 0.4351866604838240363 logp*logq = 33.12031589345023844 -------------- ************************************* p = 193; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 256554147329180.7666 -------------- Searches starting with [193,547]-exponents: u = 115, v = 5 n_start has 277 digits starting right neighbors generation We generated 5261 left neighbors We generated 4749 right neighbors We generated 10009 non-negative rho_i D1(193,547) = 0.6282917051808368752 D2(193,547) = 0.01033997628357426215 C1(193,547) = 0.8481826917096616050 C2(193,547) = 1.500280052621494568 C3(193,547) = 4.089930956499130033 C4(193,547) = 4376 Sum = 4496.135242281736477 Averaged sum = 0.4492092359158493833 logp*logq = 33.17836085895931576 -------------- ************************************* p = 193; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 282218315805873.0128 -------------- Searches starting with [193,557]-exponents: u = 6, v = 139 n_start has 396 digits --- performed 5000 steps in the continued fraction search [193,557]-exponents: u = 12, v = 100 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,557) = 0.5460174813111665407 D2(193,557) = 0.02525413020015853339 C1(193,557) = 0.7540193055247438806 C2(193,557) = 1.413733268280776133 C3(193,557) = 3.497877594543289114 C4(193,557) = 4456 Sum = 4893.986328663700181 Averaged sum = 0.4894475776241324313 logp*logq = 33.27370205687638139 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,557) = 0.5460174813111665407 D2(193,557) = 0.02525413020015853339 C1(193,557) = 0.7540193055247438806 C2(193,557) = 1.413733268280776133 C3(193,557) = 3.497877594543289114 C4(193,557) = 4456 Sum = 4893.986328663700181 Averaged sum = 0.4894475776241324313 logp*logq = 33.27370205687638139 -------------- ************************************* p = 193; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 298588821093553.7427 -------------- Searches starting with [193,563]-exponents: u = 6, v = 54 n_start has 163 digits starting right neighbors generation We generated 1683 left neighbors We generated 8327 right neighbors We generated 10009 non-negative rho_i D1(193,563) = 0.7388085433310449827 D2(193,563) = 0.02888736141512992039 C1(193,563) = 1.026631411265560166 C2(193,563) = 1.611302784834270872 C3(193,563) = 5.500657265152726090 C4(193,563) = 4504 Sum = 4767.043190692255360 Averaged sum = 0.4762756709653567149 logp*logq = 33.33008856260193050 -------------- ************************************* p = 193; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 315720145071339.4476 -------------- Searches starting with [193,569]-exponents: u = 6, v = 34 n_start has 108 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(193,569) = 0.7007105788125603648 D2(193,569) = 0.01724863851054312787 C1(193,569) = 0.9606055250860773621 C2(193,569) = 1.720570896188835207 C3(193,569) = 4.929424297148043831 C4(193,569) = 4552 Sum = 4505.751918736115751 Averaged sum = 0.4501700388386567840 logp*logq = 33.38587732026230784 -------------- ************************************* p = 193; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 321604266240131.0696 -------------- Searches starting with [193,571]-exponents: u = 6, v = 29 n_start has 94 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(193,571) = 0.8669972099815308468 D2(193,571) = 0.03858206950674699680 C1(193,571) = 1.151391332974526251 C2(193,571) = 1.742459009871303231 C3(193,571) = 6.766941389740180261 C4(193,571) = 4568 Sum = 4319.591757543933428 Averaged sum = 0.4315707620685316643 logp*logq = 33.40434291881742061 -------------- ************************************* p = 193; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 339791774693678.4252 -------------- Searches starting with [193,577]-exponents: u = 6, v = 24 n_start has 80 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(193,577) = 0.7724980882142488034 D2(193,577) = 0.01041731947713057013 C1(193,577) = 1.012625899653928353 C2(193,577) = 1.809016578240304129 C3(193,577) = 5.374198476780895045 C4(193,577) = 4616 Sum = 3827.360504088819664 Averaged sum = 0.3823918977009511104 logp*logq = 33.45935411855697619 -------------- ************************************* p = 193; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 371950007724866.0802 -------------- Searches starting with [193,587]-exponents: u = 6, v = 14 n_start has 53 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(193,587) = 0.6531640584136936239 D2(193,587) = 0.08451400646596534355 C1(193,587) = 0.8699280597796635538 C2(193,587) = 1.885989691975738203 C3(193,587) = 4.240322669942092894 C4(193,587) = 4696 Sum = 4342.865525579186497 Averaged sum = 0.4338960461164138772 logp*logq = 33.54978057333445888 -------------- ************************************* p = 193; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 392398851931886.1647 -------------- Searches starting with [193,593]-exponents: u = 6, v = 14 n_start has 53 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(193,593) = 0.6768313460441681586 D2(193,593) = 0.1367396929456198780 C1(193,593) = 0.9260039728226085305 C2(193,593) = 1.939917381343371508 C3(193,593) = 4.654159812976337741 C4(193,593) = 4744 Sum = 4494.909453944067248 Averaged sum = 0.4490867673038332749 logp*logq = 33.60329991785575693 -------------- ************************************* p = 193; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 413748934703744.6802 -------------- Searches starting with [193,599]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(193,599) = 0.7873863776117005084 D2(193,599) = 0.1444845945454801366 C1(193,599) = 1.073860393348051246 C2(193,599) = 1.871205226693899027 C3(193,599) = 5.949445578408169469 C4(193,599) = 4792 Sum = 4657.485457032670380 Averaged sum = 0.4653297489292307303 logp*logq = 33.65628046788235440 -------------- ************************************* p = 193; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 421071085596331.0076 -------------- Searches starting with [193,601]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(193,601) = 0.5459803002866397675 D2(193,601) = 0.1343519147227793470 C1(193,601) = 0.7656673562916451440 C2(193,601) = 1.861682388687124649 C3(193,601) = 3.566196527058925172 C4(193,601) = 4808 Sum = 4357.459265015772121 Averaged sum = 0.4353541078045531143 logp*logq = 33.67382278475493538 -------------- ************************************* p = 193; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 443669749436538.9918 -------------- Searches starting with [193,607]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(193,607) = 0.7107087170726346479 D2(193,607) = 0.006392579154117611138 C1(193,607) = 0.9459428647737605453 C2(193,607) = 1.957053120188244355 C3(193,607) = 4.810845129564308289 C4(193,607) = 4856 Sum = 4116.131963286260438 Averaged sum = 0.4112430775588231030 logp*logq = 33.72610159402330874 -------------- ************************************* p = 193; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 467240942399075.2948 -------------- Searches starting with [193,613]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(193,613) = 0.7147910947986363586 D2(193,613) = 0.02511219275138562091 C1(193,613) = 1.018217826632193556 C2(193,613) = 1.977578344600410898 C3(193,613) = 5.424336745133011468 C4(193,613) = 4904 Sum = 3517.358362744233570 Averaged sum = 0.3514195586716189000 logp*logq = 33.77786617716263402 -------------- ************************************* p = 193; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 483510997953344.4366 -------------- Searches starting with [193,617]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(193,617) = 0.6626194462887596052 D2(193,617) = 0.03794061426109252817 C1(193,617) = 1.121728661694414072 C2(193,617) = 1.991600505946390123 C3(193,617) = 6.441684718886208942 C4(193,617) = 4936 Sum = 3963.737442275622791 Averaged sum = 0.3960173286317936648 logp*logq = 33.81209517710579304 -------------- ************************************* p = 193; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 491816380209979.0026 -------------- Searches starting with [193,619]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(193,619) = 0.8102976224932684260 D2(193,619) = 0.04036416481280221373 C1(193,619) = 1.371610696850080788 C2(193,619) = 1.281919595111292728 C3(193,619) = 9.754754386015339876 C4(193,619) = 4952 Sum = 4216.213575054467257 Averaged sum = 0.4212422394899058104 logp*logq = 33.82912655180498791 -------------- ************************************* p = 193; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 544110413218295.3726 -------------- Searches starting with [193,631]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(193,631) = 0.6990138616806036575 D2(193,631) = 0.01558091138440162291 C1(193,631) = 0.9972835466025734647 C2(193,631) = 2.009566617777930539 C3(193,631) = 5.239003357235048595 C4(193,631) = 5048 Sum = 4250.365475796069177 Averaged sum = 0.4246543586568157835 logp*logq = 33.93017330766459315 -------------- ************************************* p = 193; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 591049989015186.1547 -------------- Searches starting with [193,641]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(193,641) = 0.9192145571305694520 D2(193,641) = 0.1096985857180462801 C1(193,641) = 1.278515091793223984 C2(193,641) = 1.864180163682387002 C3(193,641) = 8.357474533646836886 C4(193,641) = 5128 Sum = 4886.918589464191170 Averaged sum = 0.4882524317578370636 logp*logq = 34.01292171353968089 -------------- ************************************* p = 193; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 600819937221480.1992 -------------- Searches starting with [193,643]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(193,643) = 0.7254787783615295636 D2(193,643) = 0.1166919922414354927 C1(193,643) = 1.045791640789605411 C2(193,643) = 1.871709902540580300 C3(193,643) = 5.678492974973567275 C4(193,643) = 5144 Sum = 3636.794455853928284 Averaged sum = 0.3633524283998329787 logp*logq = 34.02931640028440627 -------------- ************************************* p = 193; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 620752360684432.5937 -------------- Searches starting with [193,647]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(193,647) = 0.6760683083451676325 D2(193,647) = 0.1310837911025066676 C1(193,647) = 0.9163325148183810191 C2(193,647) = 1.887169279679659599 C3(193,647) = 4.580007201452259905 C4(193,647) = 5176 Sum = 4445.401287388282598 Averaged sum = 0.4441404023766892395 logp*logq = 34.06195334326478041 -------------- ************************************* p = 193; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 651652373944479.8093 -------------- Searches starting with [193,653]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(193,653) = 0.6519194072229264671 D2(193,653) = 0.1169915819989384666 C1(193,653) = 0.8792536003707675917 C2(193,653) = 1.453922066322433278 C3(193,653) = 4.306501059571845406 C4(193,653) = 5224 Sum = 4387.070439665651688 Averaged sum = 0.4383125626601710149 logp*logq = 34.11053236687336678 -------------- ************************************* p = 193; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 683786646054298.8523 -------------- Searches starting with [193,659]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(193,659) = 1.163295687635429343 D2(193,659) = 0.07968880469638081744 C1(193,659) = 1.698289314775353458 C2(193,659) = 1.947165644004195483 C3(193,659) = 16.78106453261762707 C4(193,659) = 5272 Sum = 4870.820809756585192 Averaged sum = 0.4866441012845024670 logp*logq = 34.15866706392038615 -------------- ************************************* p = 193; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 694778789368893.2978 -------------- Searches starting with [193,661]-exponents: u = 16, v = 4 n_start has 48 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(193,661) = 0.6126787207988532581 D2(193,661) = 0.06545335962754038009 C1(193,661) = 0.8632584044686970337 C2(193,661) = 1.933552914525112262 C3(193,661) = 4.193616364165222840 C4(193,661) = 5288 Sum = 4126.615706099224348 Averaged sum = 0.4122905091516859174 logp*logq = 34.17461462215089682 -------------- ************************************* p = 193; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 763777978625705.0495 -------------- Searches starting with [193,673]-exponents: u = 21, v = 4 n_start has 60 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(193,673) = 0.6873699706338261047 D2(193,673) = 0.1172788248247065721 C1(193,673) = 0.9534197238799748016 C2(193,673) = 1.897236358389946491 C3(193,673) = 4.870950828790346815 C4(193,673) = 5384 Sum = 4171.814758070892617 Averaged sum = 0.4168063500920064559 logp*logq = 34.26929825896851881 -------------- ************************************* p = 193; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 787972780330992.2179 -------------- Searches starting with [193,677]-exponents: u = 26, v = 4 n_start has 71 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(193,677) = 0.8133677833294660261 D2(193,677) = 0.07588560142911126187 C1(193,677) = 1.079182680347294990 C2(193,677) = 1.857018328040844209 C3(193,677) = 6.002262312508543812 C4(193,677) = 5416 Sum = 4227.923217802003936 Averaged sum = 0.4224121508444403973 logp*logq = 34.30048466246264636 -------------- ************************************* p = 193; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 825425779422760.3022 -------------- Searches starting with [193,683]-exponents: u = 31, v = 4 n_start has 83 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(193,683) = 0.7763266655245260599 D2(193,683) = 0.02203029246565618111 C1(193,683) = 1.151750583178732118 C2(193,683) = 1.804912738544855525 C3(193,683) = 6.770979657375568194 C4(193,683) = 5464 Sum = 3040.668529736816370 Averaged sum = 0.3037934388786908152 logp*logq = 34.34692046540136566 -------------- ************************************* p = 193; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 877593224375699.4058 -------------- Searches starting with [193,691]-exponents: u = 36, v = 4 n_start has 94 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(193,691) = 0.8268687214677926569 D2(193,691) = 0.02521239376111550956 C1(193,691) = 1.196634867242479420 C2(193,691) = 1.742381236714662589 C3(193,691) = 7.294951434504995010 C4(193,691) = 5528 Sum = 4573.408039830281415 Averaged sum = 0.4569295673723929878 logp*logq = 34.40820430423043382 -------------- ************************************* p = 193; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 946525445329530.7706 -------------- Searches starting with [193,701]-exponents: u = 61, v = 4 n_start has 151 digits starting right neighbors generation We generated 1318 left neighbors We generated 8692 right neighbors We generated 10009 non-negative rho_i D1(193,701) = 0.7899480827820990216 D2(193,701) = 0.009078559569002741645 C1(193,701) = 1.060751744649363143 C2(193,701) = 1.632421043619965431 C3(193,701) = 5.821332911309766788 C4(193,701) = 5608 Sum = 4349.466950108236926 Averaged sum = 0.4345555949753458812 logp*logq = 34.48381896981881940 -------------- ************************************* p = 193; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1004773040801217.165 -------------- Searches starting with [193,709]-exponents: u = 111, v = 4 n_start has 266 digits starting right neighbors generation We generated 4058 left neighbors We generated 5952 right neighbors We generated 10009 non-negative rho_i D1(193,709) = 0.5801305187953207403 D2(193,709) = 0.01058294528959765370 C1(193,709) = 0.7846921757632961428 C2(193,709) = 1.496839351608873170 C3(193,709) = 3.680663555681499185 C4(193,709) = 5672 Sum = 4354.421860521978587 Averaged sum = 0.4350506404757696660 logp*logq = 34.54353808086973909 -------------- ************************************* p = 193; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1081630945059632.394 -------------- Searches starting with [193,719]-exponents: u = 3276, v = 4 n_start has 7499 digits --- performed 5000 steps in the continued fraction search [193,719]-exponents: u = 1238, v = 1633 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,719) = 0.6624493342766627472 D2(193,719) = 0.5775747711086287002 C1(193,719) = 0.7983510070328876170 C2(193,719) = 1.464969946128059849 C3(193,719) = 3.765103999104331371 C4(193,719) = 5752 Sum = 6365.705719418656381 Averaged sum = 0.6366342353654021783 logp*logq = 34.61724643125512215 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,719) = 0.6624493342766627472 D2(193,719) = 0.5775747711086287002 C1(193,719) = 0.7983510070328876170 C2(193,719) = 1.464969946128059849 C3(193,719) = 3.765103999104331371 C4(193,719) = 5752 Sum = 6365.705719418656381 Averaged sum = 0.6366342353654021783 logp*logq = 34.61724643125512215 -------------- ************************************* p = 193; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1146486827369394.495 -------------- Searches starting with [193,727]-exponents: u = 5, v = 123 n_start has 364 digits --- performed 5000 steps in the continued fraction search [193,727]-exponents: u = 101, v = 8 --- starting right neighbors generation We generated 7821 left neighbors We generated 2189 right neighbors We generated 10009 non-negative rho_i D1(193,727) = 0.6131219170447153932 D2(193,727) = 0.0002426767028903120970 C1(193,727) = 0.8152640391306559354 C2(193,727) = 1.430012614617525661 C3(193,727) = 3.872351637081706397 C4(193,727) = 5816 Sum = 4733.584693873201390 Averaged sum = 0.4729328298404637216 logp*logq = 34.67547872873127918 -------------- ************************************* p = 193; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1197166560501477.544 -------------- Searches starting with [193,733]-exponents: u = 5, v = 67 n_start has 204 digits starting right neighbors generation We generated 2327 left neighbors We generated 7683 right neighbors We generated 10009 non-negative rho_i D1(193,733) = 0.6525929449211839804 D2(193,733) = 0.01267070878658423599 C1(193,733) = 0.8940300730483794896 C2(193,733) = 1.560719411385805661 C3(193,733) = 4.413483078475237351 C4(193,733) = 5864 Sum = 4603.844656439203744 Averaged sum = 0.4599704922009395288 logp*logq = 34.71873396009491573 -------------- ************************************* p = 193; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1249645821615217.454 -------------- Searches starting with [193,739]-exponents: u = 5, v = 47 n_start has 147 digits starting right neighbors generation We generated 1119 left neighbors We generated 8891 right neighbors We generated 10009 non-negative rho_i D1(193,739) = 0.7395504477600665554 D2(193,739) = 0.04113398466284822213 C1(193,739) = 0.9947627784829785324 C2(193,739) = 1.652394292765034263 C3(193,739) = 5.217118233876965093 C4(193,739) = 5912 Sum = 4338.732537242384658 Averaged sum = 0.4334831189172129741 logp*logq = 34.76163656336793979 -------------- ************************************* p = 193; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1285655649707401.371 -------------- Searches starting with [193,743]-exponents: u = 5, v = 39 n_start has 124 digits starting right neighbors generation We generated 780 left neighbors We generated 9230 right neighbors We generated 10009 non-negative rho_i D1(193,743) = 0.6199321389361071098 D2(193,743) = 0.04921892214470289188 C1(193,743) = 0.8420563579989445773 C2(193,743) = 1.700607491110499044 C3(193,743) = 4.048532378312731065 C4(193,743) = 5944 Sum = 4266.492420411274140 Averaged sum = 0.4262656029984288281 logp*logq = 34.79004521636848373 -------------- ************************************* p = 193; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1360197847659831.628 -------------- Searches starting with [193,751]-exponents: u = 5, v = 27 n_start has 90 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(193,751) = 0.7460543535134268209 D2(193,751) = 0.009464044519694175141 C1(193,751) = 1.084230578219009933 C2(193,751) = 1.769583677731468361 C3(193,751) = 6.052789276127198920 C4(193,751) = 6008 Sum = 4232.074319871637461 Averaged sum = 0.4228268877881544071 logp*logq = 34.84640656029847112 -------------- ************************************* p = 193; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1418370330025208.548 -------------- Searches starting with [193,757]-exponents: u = 5, v = 23 n_start has 78 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(193,757) = 0.6259712853711859022 D2(193,757) = 0.06243366145333535018 C1(193,757) = 0.8532038509266403409 C2(193,757) = 1.823799310620510907 C3(193,757) = 4.124176809119596203 C4(193,757) = 6056 Sum = 4249.851469129168480 Averaged sum = 0.4246030042091286322 logp*logq = 34.88828495255183397 -------------- ************************************* p = 193; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1458259329676343.313 -------------- Searches starting with [193,761]-exponents: u = 5, v = 23 n_start has 78 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(193,761) = 0.7620372452756932029 D2(193,761) = 0.1024341169637193649 C1(193,761) = 1.137865268117489702 C2(193,761) = 1.864624889890412091 C3(193,761) = 6.616637034526792751 C4(193,761) = 6088 Sum = 3257.511155640277366 Averaged sum = 0.3254582031811646884 logp*logq = 34.91601987939977058 -------------- ************************************* p = 193; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1540764396568564.570 -------------- Searches starting with [193,769]-exponents: u = 5, v = 19 n_start has 67 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(193,769) = 0.6233491511420295266 D2(193,769) = 0.05002772551301585029 C1(193,769) = 0.9491093326978863906 C2(193,769) = 1.891844049933809144 C3(193,769) = 4.836208964411266527 C4(193,769) = 6152 Sum = 4190.295057131858229 Averaged sum = 0.4186527182667457517 logp*logq = 34.97105504959780656 -------------- ************************************* p = 193; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1583411834082673.171 -------------- Searches starting with [193,773]-exponents: u = 5, v = 15 n_start has 55 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(193,773) = 0.6187037886298947475 D2(193,773) = 0.07839390775422931770 C1(193,773) = 0.8269216697001886077 C2(193,773) = 1.921057887895985283 C3(193,773) = 3.948047431458564373 C4(193,773) = 6184 Sum = 4266.661069224688016 Averaged sum = 0.4262824527150252789 logp*logq = 34.99835830248074225 -------------- ************************************* p = 193; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1740274719291042.782 -------------- Searches starting with [193,787]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(193,787) = 0.7890914591265363138 D2(193,787) = 0.002929934641341194711 C1(193,787) = 1.035494251345321190 C2(193,787) = 1.958022914311294451 C3(193,787) = 5.582214689063135401 C4(193,787) = 6296 Sum = 4101.419113041198965 Averaged sum = 0.4097731155001697437 logp*logq = 35.09281938032467789 -------------- ************************************* p = 193; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1859842816056937.386 -------------- Searches starting with [193,797]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(193,797) = 0.6556084914805323398 D2(193,797) = 0.04464067473036633365 C1(193,797) = 0.9669852580017382271 C2(193,797) = 2.001926524142039415 C3(193,797) = 4.981926483954490328 C4(193,797) = 6376 Sum = 3915.210343964574926 Averaged sum = 0.3911689823123763539 logp*logq = 35.15926837156856527 -------------- ************************************* p = 193; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2012019356610543.780 -------------- Searches starting with [193,809]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(193,809) = 0.8659352627849619092 D2(193,809) = 0.07002169079657082845 C1(193,809) = 1.410897042225165725 C2(193,809) = 1.271268472479660056 C3(193,809) = 10.41237876239097609 C4(193,809) = 6472 Sum = 3964.557762124791913 Averaged sum = 0.3960992868543103120 logp*logq = 35.23791526768368174 -------------- ************************************* p = 193; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2038334751334024.740 -------------- Searches starting with [193,811]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(193,811) = 1.329501199688561213 D2(193,811) = 0.06173571400624944826 C1(193,811) = 2.166097645269933369 C2(193,811) = 1.158630302225657357 C3(193,811) = 36.49274448639801714 C4(193,811) = 6488 Sum = 3606.889728551637765 Averaged sum = 0.3603646446749563158 logp*logq = 35.25090957104820259 -------------- ************************************* p = 193; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2174128154392276.361 -------------- Searches starting with [193,821]-exponents: u = 14, v = 7 n_start has 53 digits **************************************************** Computing .... elapsed time = 25 minutes **************************************************** starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(193,821) = 0.6668524382342228015 D2(193,821) = 0.07710680226771990816 C1(193,821) = 0.9485036344173725668 C2(193,821) = 1.951943130610180219 C3(193,821) = 4.831346917935688046 C4(193,821) = 6568 Sum = 4125.447230882004364 Averaged sum = 0.4121737666981720815 logp*logq = 35.31540413053479946 -------------- ************************************* p = 193; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2202146003253994.918 -------------- Searches starting with [193,823]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(193,823) = 0.6762290381341439583 D2(193,823) = 0.07208391775609528030 C1(193,823) = 0.8969574888739541460 C2(193,823) = 1.947385480829124628 C3(193,823) = 4.434990980704095248 C4(193,823) = 6584 Sum = 4118.386146828106540 Averaged sum = 0.4114682932189136317 logp*logq = 35.32820873585143133 -------------- ************************************* p = 193; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2259059247759261.520 -------------- Searches starting with [193,827]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(193,827) = 0.6417247791854487786 D2(193,827) = 0.06227601155718573444 C1(193,827) = 0.9020095678832567379 C2(193,827) = 1.938504603965819675 C3(193,827) = 4.472355728409707961 C4(193,827) = 6616 Sum = 4143.303337828617776 Averaged sum = 0.4139577717882523505 logp*logq = 35.35372485948035712 -------------- ************************************* p = 193; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2287959295201927.637 -------------- Searches starting with [193,829]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(193,829) = 0.7405443240438830282 D2(193,829) = 0.05748518278715670874 C1(193,829) = 1.018847926140212797 C2(193,829) = 1.934175580987927674 C3(193,829) = 5.430015578504675188 C4(193,829) = 6632 Sum = 4150.876555071345079 Averaged sum = 0.4147144125358522408 logp*logq = 35.36643667771138480 -------------- ************************************* p = 193; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2436987973463041.773 -------------- Searches starting with [193,839]-exponents: u = 23, v = 7 n_start has 74 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(193,839) = 0.5779014511285107572 D2(193,839) = 0.03209670634446699224 C1(193,839) = 0.8173843124274582312 C2(193,839) = 1.777174966227582511 C3(193,839) = 3.886010279665136430 C4(193,839) = 6712 Sum = 4114.156766964778665 Averaged sum = 0.4110457355344968194 logp*logq = 35.42953923456539429 -------------- ************************************* p = 193; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2658745148901392.289 -------------- Searches starting with [193,853]-exponents: u = 50, v = 7 n_start has 135 digits starting right neighbors generation We generated 784 left neighbors We generated 9226 right neighbors We generated 10009 non-negative rho_i D1(193,853) = 0.7044322676510167407 D2(193,853) = 0.004082223622897961841 C1(193,853) = 0.9537870539129172757 C2(193,853) = 1.553795731921968902 C3(193,853) = 4.873923033765905135 C4(193,853) = 6824 Sum = 4406.937626031656839 Averaged sum = 0.4402974948577936696 logp*logq = 35.51663065786263471 -------------- ************************************* p = 193; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2725018128277781.706 -------------- Searches starting with [193,857]-exponents: u = 68, v = 7 n_start has 176 digits starting right neighbors generation We generated 2191 left neighbors We generated 7819 right neighbors We generated 10009 non-negative rho_i D1(193,857) = 0.6426985913319993721 D2(193,857) = 0.03434470027930562351 C1(193,857) = 0.8884059936153868477 C2(193,857) = 1.782814823158838788 C3(193,857) = 4.372454872095959269 C4(193,857) = 6856 Sum = 4460.405155905189944 Averaged sum = 0.4456394400944340038 logp*logq = 35.54125147558276681 -------------- ************************************* p = 193; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2758652757805653.607 -------------- Searches starting with [193,859]-exponents: u = 86, v = 7 n_start has 218 digits starting right neighbors generation We generated 3412 left neighbors We generated 6598 right neighbors We generated 10009 non-negative rho_i D1(193,859) = 0.5692553143498169305 D2(193,859) = 0.02339606584685579503 C1(193,859) = 0.7768457702992803153 C2(193,859) = 1.772296634424447402 C3(193,859) = 3.633015344408899886 C4(193,859) = 6872 Sum = 4405.192301988702810 Averaged sum = 0.4401231193914180048 logp*logq = 35.55351882423507592 -------------- ************************************* p = 193; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2826931005280859.453 -------------- Searches starting with [193,863]-exponents: u = 158, v = 7 n_start has 382 digits --- performed 5000 steps in the continued fraction search [193,863]-exponents: u = 77, v = 33 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,863) = 0.5687850197524974728 D2(193,863) = 0.04911205677804154949 C1(193,863) = 0.8106343104090161816 C2(193,863) = 1.600358688282715445 C3(193,863) = 3.842693900093877822 C4(193,863) = 6904 Sum = 4714.025738993435053 Averaged sum = 0.4714497188712306283 logp*logq = 35.57796806769320892 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(193,863) = 0.5687850197524974728 D2(193,863) = 0.04911205677804154949 C1(193,863) = 0.8106343104090161816 C2(193,863) = 1.600358688282715445 C3(193,863) = 3.842693900093877822 C4(193,863) = 6904 Sum = 4714.025738993435053 Averaged sum = 0.4714497188712306283 logp*logq = 35.57796806769320892 -------------- ************************************* p = 193; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3076770379910135.121 -------------- Searches starting with [193,877]-exponents: u = 9, v = 73 n_start has 236 digits starting right neighbors generation We generated 4043 left neighbors We generated 5967 right neighbors We generated 10009 non-negative rho_i D1(193,877) = 0.7803294367022040015 D2(193,877) = 0.01763899156780957535 C1(193,877) = 1.065552539964443166 C2(193,877) = 1.783836227081946412 C3(193,877) = 5.867928421180265677 C4(193,877) = 7016 Sum = 4199.554828221426572 Averaged sum = 0.4195778627456715528 logp*logq = 35.66265686380244180 -------------- ************************************* p = 193; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3151344047252618.081 -------------- Searches starting with [193,881]-exponents: u = 9, v = 45 n_start has 154 digits starting right neighbors generation We generated 1633 left neighbors We generated 8377 right neighbors We generated 10009 non-negative rho_i D1(193,881) = 0.7175826064602741269 D2(193,881) = 0.03712201666082475549 C1(193,881) = 1.000991684297176748 C2(193,881) = 1.804056401215025481 C3(193,881) = 5.271364100692852945 C4(193,881) = 7048 Sum = 4565.119215682612981 Averaged sum = 0.4561014302810083905 logp*logq = 35.68660543841298728 -------------- ************************************* p = 193; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3189176032655157.551 -------------- Searches starting with [193,883]-exponents: u = 9, v = 38 n_start has 133 digits starting right neighbors generation We generated 1188 left neighbors We generated 8822 right neighbors We generated 10009 non-negative rho_i D1(193,883) = 0.7499714158913233095 D2(193,883) = 0.04722858743024649527 C1(193,883) = 1.056695160777725158 C2(193,883) = 1.814530270057213728 C3(193,883) = 5.782249091389068686 C4(193,883) = 7064 Sum = 4564.002062637552571 Averaged sum = 0.4559898154298683755 logp*logq = 35.69853898136972501 -------------- ************************************* p = 193; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3265943834260928.095 -------------- Searches starting with [193,887]-exponents: u = 9, v = 31 n_start has 112 digits starting right neighbors generation We generated 596 left neighbors We generated 9414 right neighbors We generated 10009 non-negative rho_i D1(193,887) = 0.6507302345311916108 D2(193,887) = 0.002158689397750858675 C1(193,887) = 0.8914802987156676301 C2(193,887) = 1.613683582514105179 C3(193,887) = 4.394834738295336708 C4(193,887) = 7096 Sum = 4346.010448322660614 Averaged sum = 0.4342102556022240597 logp*logq = 35.72232519220788042 -------------- ************************************* p = 193; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3672576511050940.246 -------------- Searches starting with [193,907]-exponents: u = 9, v = 17 n_start has 71 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(193,907) = 1.050793663485879860 D2(193,907) = 0.03017517490615775074 C1(193,907) = 1.615336353646875775 C2(193,907) = 1.802537612610189442 C3(193,907) = 14.62154228506277543 C4(193,907) = 7256 Sum = 3161.625179774769147 Averaged sum = 0.3158782275726615193 logp*logq = 35.83966985726560838 -------------- ************************************* p = 193; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3758619186688680.935 -------------- Searches starting with [193,911]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(193,911) = 0.9459933520863382014 D2(193,911) = 0.03883040828825655800 C1(193,911) = 1.286386762601205400 C2(193,911) = 1.956084345806088467 C3(193,911) = 8.467440865663429658 C4(193,911) = 7288 Sum = 4781.953796612897403 Averaged sum = 0.4777653908095611352 logp*logq = 35.86282804728145615 -------------- ************************************* p = 193; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3935604680580284.420 -------------- Searches starting with [193,919]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(193,919) = 0.6780518979762112319 D2(193,919) = 0.05144760427108622380 C1(193,919) = 0.8930841110534845781 C2(193,919) = 1.970271731600274341 C3(193,919) = 4.406555360688190313 C4(193,919) = 7352 Sum = 3845.433672627050633 Averaged sum = 0.3841975894322160688 logp*logq = 35.90884093221213471 -------------- ************************************* p = 193; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4166267765403793.098 -------------- Searches starting with [193,929]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(193,929) = 0.6482869649824425443 D2(193,929) = 0.06765666429780843938 C1(193,929) = 0.8540894527598530271 C2(193,929) = 1.988424036381291723 C3(193,929) = 4.130246565768842752 C4(193,929) = 7432 Sum = 3877.931899748962434 Averaged sum = 0.3874444899339556832 logp*logq = 35.96579700966472898 -------------- ************************************* p = 193; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4358577664103662.930 -------------- Searches starting with [193,937]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(193,937) = 1.048046580788330001 D2(193,937) = 0.04679593843131795543 C1(193,937) = 1.726590396864831191 C2(193,937) = 1.157182047693024901 C3(193,937) = 17.58856745818707296 C4(193,937) = 7496 Sum = 2840.139147532788153 Averaged sum = 0.2837585320744118446 logp*logq = 36.01092217521962436 -------------- ************************************* p = 193; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4457393106062242.673 -------------- Searches starting with [193,941]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(193,941) = 0.6822607152677891709 D2(193,941) = 0.06232901189341034051 C1(193,941) = 1.123981338933835829 C2(193,941) = 1.426983321051410049 C3(193,941) = 6.465827490145355652 C4(193,941) = 7528 Sum = 4007.065872907484245 Averaged sum = 0.4003462756426700215 logp*logq = 36.03334048468559171 -------------- ************************************* p = 193; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4609011940515201.497 -------------- Searches starting with [193,947]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(193,947) = 0.6973430161645311632 D2(193,947) = 0.04060136578778100718 C1(193,947) = 0.9850335756090026146 C2(193,947) = 2.097902208152120706 C3(193,947) = 5.133503968219793571 C4(193,947) = 7576 Sum = 3563.544747734190926 Averaged sum = 0.3560340441336987637 logp*logq = 36.06678989934112296 -------------- ************************************* p = 193; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4764781392103219.927 -------------- Searches starting with [193,953]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(193,953) = 0.5465419266468512393 D2(193,953) = 0.01883420416330258142 C1(193,953) = 0.7580883993442133157 C2(193,953) = 2.077511725053532760 C3(193,953) = 3.521593874842344893 C4(193,953) = 7624 Sum = 4266.267039005819690 Averaged sum = 0.4262430851239703956 logp*logq = 36.10002805312670122 -------------- ************************************* p = 193; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5144872479720197.553 -------------- Searches starting with [193,967]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(193,967) = 0.6420886908240191663 D2(193,967) = 0.1257813324511053040 C1(193,967) = 0.8984747550273769670 C2(193,967) = 1.923283725093947790 C3(193,967) = 4.446179635224185253 C4(193,967) = 7736 Sum = 3750.063237434743727 Averaged sum = 0.3746691215340936884 logp*logq = 36.17677697860677756 -------------- ************************************* p = 193; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5257863817161606.160 -------------- Searches starting with [193,971]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(193,971) = 0.6728683597824956123 D2(193,971) = 0.1216869579475846667 C1(193,971) = 1.067333227632631928 C2(193,971) = 1.468937975305145741 C3(193,971) = 5.885306067183021140 C4(193,971) = 7768 Sum = 4286.404429996615631 Averaged sum = 0.4282550134875227926 logp*logq = 36.19850122076154698 -------------- ************************************* p = 193; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5431112343508513.702 -------------- Searches starting with [193,977]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(193,977) = 0.7582149821125564206 D2(193,977) = 0.1015849937881429606 C1(193,977) = 1.202630473739233671 C2(193,977) = 1.370108607815302413 C3(193,977) = 7.367946829957731201 C4(193,977) = 7816 Sum = 4011.710785165571250 Averaged sum = 0.4008103492022750774 logp*logq = 36.23092035935219539 -------------- ************************************* p = 193; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5608956063417495.389 -------------- Searches starting with [193,983]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(193,983) = 0.6112174031904873427 D2(193,983) = 0.09934555552835243627 C1(193,983) = 0.8062626063731224671 C2(193,983) = 2.055818515717316736 C3(193,983) = 3.814897589873174025 C4(193,983) = 7864 Sum = 4086.225299790772355 Averaged sum = 0.4082551003887273809 logp*logq = 36.26314101217701916 -------------- ************************************* p = 193; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5853389533940728.548 -------------- Searches starting with [193,991]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(193,991) = 0.5967185889883809153 D2(193,991) = 0.05640682989091499750 C1(193,991) = 0.8133303395139537859 C2(193,991) = 2.014577020800903251 C3(193,991) = 3.859936749485865767 C4(193,991) = 7928 Sum = 4286.419907810136366 Averaged sum = 0.4282565598771242248 logp*logq = 36.30579729587396406 -------------- ************************************* p = 193; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6042318156148611.018 -------------- Searches starting with [193,997]-exponents: u = 17, v = 3 n_start has 48 digits starting right neighbors generation We generated 90 left neighbors We generated 9920 right neighbors We generated 10009 non-negative rho_i D1(193,997) = 0.6773079668055024170 D2(193,997) = 0.02729192493955691427 C1(193,997) = 1.046791744295075063 C2(193,997) = 1.986725999593453820 C3(193,997) = 5.687931732721145595 C4(193,997) = 7976 Sum = 4108.897007047654023 Averaged sum = 0.4105202324955194348 logp*logq = 36.33756413391162092 -------------- ************************************* p = 197; q = 199; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1397362695879.885872 -------------- Searches starting with [197,199]-exponents: u = 1, v = 523 n_start has 1205 digits --- performed 5000 steps in the continued fraction search [197,199]-exponents: u = 329, v = 186 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,199) = 1.011182186846777162 D2(197,199) = 0.2040889511131516827 C1(197,199) = 1.279991268278724434 C2(197,199) = 1.138412260612797321 C3(197,199) = 8.419810287504224707 C4(197,199) = 1592 Sum = 5798.487451783079466 Averaged sum = 0.5799067358518931360 logp*logq = 27.96560778733122292 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,199) = 1.011182186846777162 D2(197,199) = 0.2040889511131516827 C1(197,199) = 1.279991268278724434 C2(197,199) = 1.138412260612797321 C3(197,199) = 8.419810287504224707 C4(197,199) = 1592 Sum = 5798.487451783079466 Averaged sum = 0.5799067358518931360 logp*logq = 27.96560778733122292 -------------- ************************************* p = 197; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1903959624508.290515 -------------- Searches starting with [197,211]-exponents: u = 1, v = 76 n_start has 179 digits starting right neighbors generation We generated 802 left neighbors We generated 9208 right neighbors We generated 10009 non-negative rho_i D1(197,211) = 0.9545494779466371141 D2(197,211) = 0.003344686546320283185 C1(197,211) = 1.319246515186790737 C2(197,211) = 1.266712130959557181 C3(197,211) = 8.988346798444316366 C4(197,211) = 1688 Sum = 5651.542534024911184 Averaged sum = 0.5646460719377471459 logp*logq = 28.27495684645748590 -------------- ************************************* p = 197; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2550192761290.630714 -------------- Searches starting with [197,223]-exponents: u = 1, v = 42 n_start has 101 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(197,223) = 0.6103898780073452120 D2(197,223) = 0.04845932306946564624 C1(197,223) = 0.8187945501555283876 C2(197,223) = 1.454313635080333552 C3(197,223) = 3.907548859876264992 C4(197,223) = 1784 Sum = 4668.593784756300973 Averaged sum = 0.4664395828510641395 logp*logq = 28.56719006490489405 -------------- ************************************* p = 197; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2801332073663.015037 -------------- Searches starting with [197,227]-exponents: u = 1, v = 37 n_start has 90 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(197,227) = 0.6521812145276649206 D2(197,227) = 0.03538361887814202781 C1(197,227) = 0.8679835623205886911 C2(197,227) = 1.482008786134684710 C3(197,227) = 4.240948748422296896 C4(197,227) = 1816 Sum = 4360.325686660735524 Averaged sum = 0.4356404922230727869 logp*logq = 28.66111616057496255 -------------- ************************************* p = 197; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2934212882490.947262 -------------- Searches starting with [197,229]-exponents: u = 1, v = 35 n_start has 85 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(197,229) = 0.7980031781257571854 D2(197,229) = 0.03087346443494978053 C1(197,229) = 1.168681204967012165 C2(197,229) = 1.496395761949558193 C3(197,229) = 6.995786636560027267 C4(197,229) = 1832 Sum = 2853.122388446821943 Averaged sum = 0.2850556887248298475 logp*logq = 28.70746035010341255 -------------- ************************************* p = 197; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3215315759865.288833 -------------- Searches starting with [197,233]-exponents: u = 1, v = 31 n_start has 76 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(197,233) = 0.8448197445159165152 D2(197,233) = 0.04615442160397322385 C1(197,233) = 1.181690758864119758 C2(197,233) = 1.543860081052275002 C3(197,233) = 7.148931367130144087 C4(197,233) = 1864 Sum = 4767.136181327429034 Averaged sum = 0.4762849616672423852 logp*logq = 28.79894668337246785 -------------- ************************************* p = 197; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3677567550559.387910 -------------- Searches starting with [197,239]-exponents: u = 1, v = 27 n_start has 67 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(197,239) = 0.9941128110291180522 D2(197,239) = 0.02025159350818546732 C1(197,239) = 1.366578503002122893 C2(197,239) = 1.569064622428609880 C3(197,239) = 9.725142853842423910 C4(197,239) = 1912 Sum = 5181.597551081077673 Averaged sum = 0.5176938306605133054 logp*logq = 28.93327265786224592 -------------- ************************************* p = 197; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3843096779015.886464 -------------- Searches starting with [197,241]-exponents: u = 1, v = 26 n_start has 65 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(197,241) = 0.7472835778800451045 D2(197,241) = 0.01973161714135914323 C1(197,241) = 1.000482823809105420 C2(197,241) = 1.583406796931541593 C3(197,241) = 5.287451419481365904 C4(197,241) = 1928 Sum = 4434.151274440215776 Averaged sum = 0.4430164126726162230 logp*logq = 28.97729961038851362 -------------- ************************************* p = 197; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4763927604737.150182 -------------- Searches starting with [197,251]-exponents: u = 1, v = 21 n_start has 53 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(197,251) = 0.7058157085799862189 D2(197,251) = 0.005483623064323601015 C1(197,251) = 0.9538749478311605524 C2(197,251) = 1.639607911248782986 C3(197,251) = 4.892757369404810162 C4(197,251) = 2008 Sum = 4449.474833321144907 Averaged sum = 0.4445473906805020388 logp*logq = 29.19209357098731848 -------------- ************************************* p = 197; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5397189455318.131202 -------------- Searches starting with [197,257]-exponents: u = 1, v = 19 n_start has 49 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(197,257) = 0.7129011993155461164 D2(197,257) = 0.09537673364551503925 C1(197,257) = 1.102665889349214619 C2(197,257) = 1.752308167917753674 C3(197,257) = 6.267787418231667204 C4(197,257) = 2056 Sum = 4410.468234109779058 Averaged sum = 0.4406502381966009649 logp*logq = 29.31689946276922410 -------------- ************************************* p = 197; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6097042661161.613367 -------------- Searches starting with [197,263]-exponents: u = 1, v = 18 n_start has 46 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(197,263) = 0.8735453256166713995 D2(197,263) = 0.01501729288163291974 C1(197,263) = 1.169970053705783507 C2(197,263) = 1.719018267235713997 C3(197,263) = 7.010811023801248362 C4(197,263) = 2104 Sum = 4524.987051899444516 Averaged sum = 0.4520918225496497668 logp*logq = 29.43882495990398327 -------------- ************************************* p = 197; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6868727792178.510739 -------------- Searches starting with [197,269]-exponents: u = 1, v = 16 n_start has 42 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(197,269) = 0.9619779403118940820 D2(197,269) = 0.03895161005057050528 C1(197,269) = 1.515970247775547978 C2(197,269) = 1.771316111168729663 C3(197,269) = 12.47070158717900769 C4(197,269) = 2152 Sum = 4021.662213375632492 Averaged sum = 0.4018045972000831743 logp*logq = 29.55800002192529222 -------------- ************************************* p = 197; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7142864792886.370716 -------------- Searches starting with [197,271]-exponents: u = 1, v = 16 n_start has 42 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(197,271) = 0.6855632444507012348 D2(197,271) = 0.09796025155665977653 C1(197,271) = 0.9226993017330490340 C2(197,271) = 1.831479135230805292 C3(197,271) = 4.645333382490112368 C4(197,271) = 2168 Sum = 4345.946615141444851 Averaged sum = 0.4342038780239229545 logp*logq = 29.59713504330489934 -------------- ************************************* p = 197; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8018963252401.082876 -------------- Searches starting with [197,277]-exponents: u = 1, v = 15 n_start has 39 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(197,277) = 1.306201273249123271 D2(197,277) = 0.09230286571598564996 C1(197,277) = 1.928027160462953869 C2(197,277) = 1.856681304506654219 C3(197,277) = 24.76086091265877127 C4(197,277) = 2216 Sum = 5123.026950495957456 Averaged sum = 0.5118420372161012544 logp*logq = 29.71283025917667011 -------------- ************************************* p = 197; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8649965193326.013312 -------------- Searches starting with [197,281]-exponents: u = 1, v = 14 n_start has 37 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(197,281) = 0.9103377607534247290 D2(197,281) = 0.01270341342300172249 C1(197,281) = 1.223143226318023013 C2(197,281) = 1.809820971199996702 C3(197,281) = 7.659616162464896337 C4(197,281) = 2248 Sum = 4507.716695854517305 Averaged sum = 0.4503663398795601263 logp*logq = 29.78857641297129384 -------------- ************************************* p = 197; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8980225416799.254544 -------------- Searches starting with [197,283]-exponents: u = 1, v = 14 n_start has 37 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(197,283) = 0.5931077758772249371 D2(197,283) = 0.05920617858588682923 C1(197,283) = 0.8197116907332898734 C2(197,283) = 1.857448820939189183 C3(197,283) = 3.913518720522009911 C4(197,283) = 2264 Sum = 4293.883447596474412 Averaged sum = 0.4290022427411803788 logp*logq = 29.82604610002106236 -------------- ************************************* p = 197; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10788578108035.68107 -------------- Searches starting with [197,293]-exponents: u = 1, v = 13 n_start has 35 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(197,293) = 0.7412809562682258812 D2(197,293) = 0.09089018473638812529 C1(197,293) = 0.9773979943893723316 C2(197,293) = 1.928838906414106838 C3(197,293) = 5.088132684020211698 C4(197,293) = 2344 Sum = 3883.201389350156119 Averaged sum = 0.3879709650664558017 logp*logq = 30.00950910783435851 -------------- ************************************* p = 197; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13805709769972.06256 -------------- Searches starting with [197,307]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(197,307) = 0.9293614835150560144 D2(197,307) = 0.1060022790994978320 C1(197,307) = 1.241509696788757088 C2(197,307) = 1.287784416033412177 C3(197,307) = 7.897398989949587953 C4(197,307) = 2456 Sum = 4683.614625493753664 Averaged sum = 0.4679403162647371030 logp*logq = 30.25610337396743082 -------------- ************************************* p = 197; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14782945716357.57356 -------------- Searches starting with [197,311]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(197,311) = 1.082157232862435866 D2(197,311) = 0.1140995317655516355 C1(197,311) = 1.484469177260184848 C2(197,311) = 1.745109362950633108 C3(197,311) = 11.83365344063163536 C4(197,311) = 2488 Sum = 4848.255134694225918 Averaged sum = 0.4843895628628460304 logp*logq = 30.32449531580920758 -------------- ************************************* p = 197; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15292171127385.60682 -------------- Searches starting with [197,313]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(197,313) = 0.6344298163123334740 D2(197,313) = 0.02012719768092989557 C1(197,313) = 0.8903092311266888718 C2(197,313) = 1.951848845928304603 C3(197,313) = 4.401515049003680032 C4(197,313) = 2504 Sum = 4126.704044937311454 Averaged sum = 0.4122993350921482121 logp*logq = 30.35836212234786372 -------------- ************************************* p = 197; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16353308134394.84834 -------------- Searches starting with [197,317]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(197,317) = 0.7134656094572331857 D2(197,317) = 0.07694023370891092597 C1(197,317) = 1.191539091547118608 C2(197,317) = 1.293541775885953819 C3(197,317) = 7.267088704145656729 C4(197,317) = 2536 Sum = 4153.699590503958211 Averaged sum = 0.4149964622343848747 logp*logq = 30.42545132518426527 -------------- ************************************* p = 197; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20547767949411.95389 -------------- Searches starting with [197,331]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(197,331) = 0.8867439311447993032 D2(197,331) = 0.04230705391875573239 C1(197,331) = 1.193468309023620275 C2(197,331) = 2.034890595377386358 C3(197,331) = 7.290462619922361847 C4(197,331) = 2648 Sum = 4568.655799849165744 Averaged sum = 0.4564547706912944094 logp*logq = 30.65377343537129880 -------------- ************************************* p = 197; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22593510595957.76354 -------------- Searches starting with [197,337]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(197,337) = 0.6414759715871714721 D2(197,337) = 0.07426733266973548421 C1(197,337) = 0.8972680297231292308 C2(197,337) = 1.791899281518472106 C3(197,337) = 4.452794865331952306 C4(197,337) = 2696 Sum = 3860.492450266928669 Averaged sum = 0.3857021131248804744 logp*logq = 30.74868383920191613 -------------- ************************************* p = 197; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26368058493758.97847 -------------- Searches starting with [197,347]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(197,347) = 1.241779528543493516 D2(197,347) = 0.05119206835269437244 C1(197,347) = 1.843698663407121762 C2(197,347) = 1.540322488104935896 C3(197,347) = 21.51814813242763642 C4(197,347) = 2776 Sum = 4064.913193695331397 Averaged sum = 0.4061258061440035364 logp*logq = 30.90317448801476059 -------------- ************************************* p = 197; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27180959110988.50954 -------------- Searches starting with [197,349]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(197,349) = 0.7571398070783661230 D2(197,349) = 0.04669450174369950234 C1(197,349) = 0.9918018616993836213 C2(197,349) = 1.475406400639264979 C3(197,349) = 5.211598441985390721 C4(197,349) = 2792 Sum = 3634.481184308297213 Averaged sum = 0.3631213092525024691 logp*logq = 30.93353781140896494 -------------- ************************************* p = 197; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28867742549791.77121 -------------- Searches starting with [197,353]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(197,353) = 0.8495199677929591645 D2(197,353) = 0.03405906734256155283 C1(197,353) = 1.463806564843090459 C2(197,353) = 1.193831566473068825 C3(197,353) = 11.43357114492653717 C4(197,353) = 2824 Sum = 4285.441765799971159 Averaged sum = 0.4281588336297303586 logp*logq = 30.99374591291229573 -------------- ************************************* p = 197; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31556186782649.09575 -------------- Searches starting with [197,359]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(197,359) = 0.8140340144507819457 D2(197,359) = 0.04360764473386217718 C1(197,359) = 1.162200332121913566 C2(197,359) = 1.818782776631084850 C3(197,359) = 6.920724316202663383 C4(197,359) = 2872 Sum = 3724.385236016990737 Averaged sum = 0.3721036303343981154 logp*logq = 31.08279078022896353 -------------- ************************************* p = 197; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35453026363879.69287 -------------- Searches starting with [197,367]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(197,367) = 0.9920553071946331051 D2(197,367) = 0.02998571933109535622 C1(197,367) = 1.552878095980136674 C2(197,367) = 1.654283399673395686 C3(197,367) = 13.26085337288638701 C4(197,367) = 2936 Sum = 3163.609793109054270 Averaged sum = 0.3160765104514990778 logp*logq = 31.19922973518896438 -------------- ************************************* p = 197; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38624394964590.98136 -------------- Searches starting with [197,373]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(197,373) = 0.5969379872456006635 D2(197,373) = 0.02161259195178495053 C1(197,373) = 0.8117786047611068546 C2(197,373) = 1.555707589750957057 C3(197,373) = 3.862180873135659898 C4(197,373) = 2984 Sum = 4438.863108816457535 Averaged sum = 0.4434871724264619378 logp*logq = 31.28490518667661152 -------------- ************************************* p = 197; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42021958466016.77187 -------------- Searches starting with [197,379]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(197,379) = 0.7772912649260666166 D2(197,379) = 0.01219958516219718995 C1(197,379) = 1.366411049035990651 C2(197,379) = 1.247142213240061137 C3(197,379) = 9.722432517245194374 C4(197,379) = 3032 Sum = 4150.048251176457027 Averaged sum = 0.4146316566266816892 logp*logq = 31.36921341820828091 -------------- ************************************* p = 197; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44418654054786.03163 -------------- Searches starting with [197,383]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(197,383) = 0.8602196117507256800 D2(197,383) = 0.01318997101214022499 C1(197,383) = 1.511888845268868064 C2(197,383) = 1.855995570724963077 C3(197,383) = 12.38626741342921250 C4(197,383) = 3064 Sum = 4531.748252052072112 Averaged sum = 0.4527673346040635540 logp*logq = 31.42468063350321002 -------------- ************************************* p = 197; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48220464657307.28182 -------------- Searches starting with [197,389]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(197,389) = 0.7977407159383816097 D2(197,389) = 0.005900048784721048845 C1(197,389) = 1.063104702054983853 C2(197,389) = 1.851767372577900511 C3(197,389) = 5.868344221694994685 C4(197,389) = 3112 Sum = 4264.564284543405469 Averaged sum = 0.4260729627878314985 logp*logq = 31.50680462482982148 -------------- ************************************* p = 197; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53695723137898.60359 -------------- Searches starting with [197,397]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(197,397) = 0.7239514542243857972 D2(197,397) = 0.1519386093360662826 C1(197,397) = 0.9798252048112727400 C2(197,397) = 1.420849344131350290 C3(197,397) = 5.108731193220592417 C4(197,397) = 3176 Sum = 4537.718086604314224 Averaged sum = 0.4533637812572998525 logp*logq = 31.61435447065709499 -------------- ************************************* p = 197; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56616374570187.55498 -------------- Searches starting with [197,401]-exponents: u = 17, v = 7 n_start has 58 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(197,401) = 0.6547559190813121074 D2(197,401) = 0.1462952177382178790 C1(197,401) = 0.9220452782384769477 C2(197,401) = 1.831199771518340990 C3(197,401) = 4.640279022285648528 C4(197,401) = 3208 Sum = 3899.853093742740689 Averaged sum = 0.3896346381998941641 logp*logq = 31.66731936265774197 -------------- ************************************* p = 197; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62844361665720.87156 -------------- Searches starting with [197,409]-exponents: u = 33, v = 7 n_start has 94 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(197,409) = 0.6773793625408480696 D2(197,409) = 0.05940769332190824892 C1(197,409) = 0.9186734308946867800 C2(197,409) = 1.748088329882652631 C3(197,409) = 4.614308173327347846 C4(197,409) = 3272 Sum = 4283.343517069347548 Averaged sum = 0.4279491974292484312 logp*logq = 31.77168233597348458 -------------- ************************************* p = 197; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71398798526410.43383 -------------- Searches starting with [197,419]-exponents: u = 11313, v = 7 n_start has 25976 digits --- performed 5000 steps in the continued fraction search [197,419]-exponents: u = 5284, v = 5282 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,419) = 0.6999979836171607580 D2(197,419) = 0.6851555794979286474 C1(197,419) = 0.8248242941742977473 C2(197,419) = 1.423163700045965919 C3(197,419) = 3.946965253354174170 C4(197,419) = 3352 Sum = 6851.002263555413647 Averaged sum = 0.6851687432298643511 logp*logq = 31.89930215777130687 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,419) = 0.6999979836171607580 D2(197,419) = 0.6851555794979286474 C1(197,419) = 0.8248242941742977473 C2(197,419) = 1.423163700045965919 C3(197,419) = 3.946965253354174170 C4(197,419) = 3352 Sum = 6851.002263555413647 Averaged sum = 0.6851687432298643511 logp*logq = 31.89930215777130687 -------------- ************************************* p = 197; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73217846974470.30915 -------------- Searches starting with [197,421]-exponents: u = 8, v = 160 n_start has 439 digits --- performed 5000 steps in the continued fraction search [197,421]-exponents: u = 127, v = 26 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,421) = 0.7695685312133462984 D2(197,421) = 0.1616538800533054246 C1(197,421) = 1.015460968881378971 C2(197,421) = 1.412880368636978913 C3(197,421) = 5.420933149796786018 C4(197,421) = 3368 Sum = 4969.538944156190203 Averaged sum = 0.4970035947750965299 logp*logq = 31.92446031830535506 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,421) = 0.7695685312133462984 D2(197,421) = 0.1616538800533054246 C1(197,421) = 1.015460968881378971 C2(197,421) = 1.412880368636978913 C3(197,421) = 5.420933149796786018 C4(197,421) = 3368 Sum = 4969.538944156190203 Averaged sum = 0.4970035947750965299 logp*logq = 31.92446031830535506 -------------- ************************************* p = 197; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82885800652943.75343 -------------- Searches starting with [197,431]-exponents: u = 8, v = 20 n_start has 72 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(197,431) = 1.016310362917255018 D2(197,431) = 0.04531505041584407956 C1(197,431) = 1.508939400792932981 C2(197,431) = 1.666593377824788862 C3(197,431) = 12.32560672056885055 C4(197,431) = 3448 Sum = 4662.766753769170323 Averaged sum = 0.4658574037135748150 logp*logq = 32.04848488056379827 -------------- ************************************* p = 197; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84938127939587.23700 -------------- Searches starting with [197,433]-exponents: u = 8, v = 20 n_start has 72 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(197,433) = 0.8047812837836486937 D2(197,433) = 0.05800694609876859544 C1(197,433) = 1.061389419403432088 C2(197,433) = 1.680088800100928951 C3(197,433) = 5.851613149901067007 C4(197,433) = 3464 Sum = 3924.596931508342680 Averaged sum = 0.3921067970335041142 logp*logq = 32.07294420077313902 -------------- ************************************* p = 197; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91343659425663.23970 -------------- Searches starting with [197,439]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(197,439) = 0.6805270154929046042 D2(197,439) = 0.1056114746411154261 C1(197,439) = 0.9919311740537020485 C2(197,439) = 1.842454703753089960 C3(197,439) = 5.212720331350601263 C4(197,439) = 3512 Sum = 3770.257133486602866 Averaged sum = 0.3766866953228697038 logp*logq = 32.14564998666284786 -------------- ************************************* p = 197; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95827472626643.63217 -------------- Searches starting with [197,443]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(197,443) = 0.7861484069228847057 D2(197,443) = 0.1065396720382067125 C1(197,443) = 1.269434411265619538 C2(197,443) = 1.279635591915696368 C3(197,443) = 8.273147782872310389 C4(197,443) = 3544 Sum = 4204.975009861720178 Averaged sum = 0.4201193935319932238 logp*logq = 32.19357053042754779 -------------- ************************************* p = 197; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102886349495855.2340 -------------- Searches starting with [197,449]-exponents: u = 15, v = 6 n_start has 51 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(197,449) = 0.6150953181110595626 D2(197,449) = 0.1022013380665190543 C1(197,449) = 0.8267976254787333495 C2(197,449) = 1.863039279365145674 C3(197,449) = 3.959951064665873759 C4(197,449) = 3592 Sum = 4335.228728621274133 Averaged sum = 0.4331330531143245212 logp*logq = 32.26464609200811609 -------------- ************************************* p = 197; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112948166753848.2114 -------------- Searches starting with [197,457]-exponents: u = 22, v = 6 n_start has 67 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(197,457) = 0.6964300029325143045 D2(197,457) = 0.03872728633117771923 C1(197,457) = 0.9342119875925933348 C2(197,457) = 1.803043316541965019 C3(197,457) = 4.735211456751446228 C4(197,457) = 3656 Sum = 4244.546727936365698 Averaged sum = 0.4240730070872580376 logp*logq = 32.35795012811188947 -------------- ************************************* p = 197; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118270017551576.9567 -------------- Searches starting with [197,461]-exponents: u = 29, v = 6 n_start has 83 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(197,461) = 0.9853026754418356239 D2(197,461) = 0.01088540244655823602 C1(197,461) = 1.340671185860575342 C2(197,461) = 1.776917344992998488 C3(197,461) = 9.314673968015006995 C4(197,461) = 3688 Sum = 4709.441532180032318 Averaged sum = 0.4705206846018615564 logp*logq = 32.40399141059417501 -------------- ************************************* p = 197; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121006146544605.4580 -------------- Searches starting with [197,463]-exponents: u = 36, v = 6 n_start has 99 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(197,463) = 0.8068629299387490777 D2(197,463) = 0.06628631034658252600 C1(197,463) = 1.114237087594433684 C2(197,463) = 1.725227889692066221 C3(197,463) = 6.389679087909947681 C4(197,463) = 3704 Sum = 4567.148081661391148 Averaged sum = 0.4563041344451384901 logp*logq = 32.42686245812442152 -------------- ************************************* p = 197; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126632417108225.2126 -------------- Searches starting with [197,467]-exponents: u = 57, v = 6 n_start has 147 digits starting right neighbors generation We generated 1630 left neighbors We generated 8380 right neighbors We generated 10009 non-negative rho_i D1(197,467) = 0.6270622863017946497 D2(197,467) = 0.01603332180358663880 C1(197,467) = 0.8852251437882625388 C2(197,467) = 1.676609785666822359 C3(197,467) = 4.364423823802683444 C4(197,467) = 3736 Sum = 3835.989161523563011 Averaged sum = 0.3832539875635491069 logp*logq = 32.47230965216771122 -------------- ************************************* p = 197; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 144796671522922.7326 -------------- Searches starting with [197,479]-exponents: u = 7, v = 107 n_start has 303 digits --- performed 5000 steps in the continued fraction search [197,479]-exponents: u = 20, v = 43 --- starting right neighbors generation We generated 6900 left neighbors We generated 3110 right neighbors We generated 10009 non-negative rho_i D1(197,479) = 0.6016611597311979441 D2(197,479) = 0.01623058972178593775 C1(197,479) = 0.8067656630159215990 C2(197,479) = 1.519986336487247207 C3(197,479) = 3.830088123245733026 C4(197,479) = 3832 Sum = 4697.562016825436370 Averaged sum = 0.4693338012614083694 logp*logq = 32.60635160889581863 -------------- ************************************* p = 197; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 158038547305164.7117 -------------- Searches starting with [197,487]-exponents: u = 7, v = 35 n_start has 111 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(197,487) = 0.7067150248180024327 D2(197,487) = 0.03534036759765609464 C1(197,487) = 1.023494278703312335 C2(197,487) = 1.731978759296213697 C3(197,487) = 5.493907083784280379 C4(197,487) = 3896 Sum = 3326.847705459680325 Averaged sum = 0.3323856234848316839 logp*logq = 32.69386008948545704 -------------- ************************************* p = 197; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 165018172624163.4557 -------------- Searches starting with [197,491]-exponents: u = 7, v = 23 n_start has 78 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(197,491) = 0.7836650933219680757 D2(197,491) = 0.07812982935877139070 C1(197,491) = 1.070110289242847555 C2(197,491) = 1.776098142433994511 C3(197,491) = 5.937175695722202232 C4(197,491) = 3928 Sum = 4608.257815112079095 Averaged sum = 0.4604114112410909277 logp*logq = 32.73707672088062409 -------------- ************************************* p = 197; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179727636487370.8186 -------------- Searches starting with [197,499]-exponents: u = 7, v = 17 n_start has 62 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(197,499) = 0.8013621283701674293 D2(197,499) = 0.02407837103267149074 C1(197,499) = 1.076722193983884821 C2(197,499) = 1.725455016281743596 C3(197,499) = 6.002879553735241006 C4(197,499) = 3992 Sum = 4467.173828997739406 Averaged sum = 0.4463156987708801484 logp*logq = 32.82246369025478027 -------------- ************************************* p = 197; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187470981048856.7047 -------------- Searches starting with [197,503]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(197,503) = 0.9918352903117024010 D2(197,503) = 0.04494497229799429486 C1(197,503) = 1.376629104834062073 C2(197,503) = 1.872226130453810651 C3(197,503) = 9.889208716054593245 C4(197,503) = 4024 Sum = 5178.102522716846575 Averaged sum = 0.5173446420938002372 logp*logq = 32.86464518162182036 -------------- ************************************* p = 197; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199591241823892.3738 -------------- Searches starting with [197,509]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(197,509) = 0.6823178134053943724 D2(197,509) = 0.07512042542105416760 C1(197,509) = 0.9086841496838377818 C2(197,509) = 1.904503885471049237 C3(197,509) = 4.538218178934061121 C4(197,509) = 4072 Sum = 4046.838876074656412 Averaged sum = 0.4043199996078186044 logp*logq = 32.92729260020540246 -------------- ************************************* p = 197; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 225739308376180.8193 -------------- Searches starting with [197,521]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(197,521) = 0.8016247273029535541 D2(197,521) = 0.06813046057468635119 C1(197,521) = 1.045459624309301005 C2(197,521) = 1.927786551055242867 C3(197,521) = 5.698492754414392255 C4(197,521) = 4168 Sum = 3499.861323733518578 Averaged sum = 0.3496714280880725925 logp*logq = 33.05040194664421539 -------------- ************************************* p = 197; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 230355326669578.8852 -------------- Searches starting with [197,523]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(197,523) = 0.6911647179981486799 D2(197,523) = 0.05622209597402144607 C1(197,523) = 0.9363962142778336045 C2(197,523) = 1.916661073360866133 C3(197,523) = 4.752458678126126093 C4(197,523) = 4184 Sum = 4255.241281514322444 Averaged sum = 0.4251415008007116039 logp*logq = 33.07064413128699788 -------------- ************************************* p = 197; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 275446959232233.7737 -------------- Searches starting with [197,541]-exponents: u = 25, v = 5 n_start has 72 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(197,541) = 0.7155669951022832121 D2(197,541) = 0.06677426220055865754 C1(197,541) = 0.9866099874145262404 C2(197,541) = 1.814853000170171075 C3(197,541) = 5.166753631274490995 C4(197,541) = 4328 Sum = 4546.473523826976949 Averaged sum = 0.4542385376987688030 logp*logq = 33.24941620051327381 -------------- ************************************* p = 197; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 291974451817563.0474 -------------- Searches starting with [197,547]-exponents: u = 31, v = 5 n_start has 85 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(197,547) = 0.6386173773326732173 D2(197,547) = 0.01094005072302299154 C1(197,547) = 0.8531122502490430891 C2(197,547) = 1.761187505714229684 C3(197,547) = 4.137257880522195950 C4(197,547) = 4376 Sum = 4207.616792510735521 Averaged sum = 0.4203833342502483286 logp*logq = 33.30768742059355729 -------------- ************************************* p = 197; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 321301243022995.3981 -------------- Searches starting with [197,557]-exponents: u = 73, v = 5 n_start has 182 digits starting right neighbors generation We generated 2139 left neighbors We generated 7871 right neighbors We generated 10009 non-negative rho_i D1(197,557) = 0.9988398210663478043 D2(197,557) = 0.03342424794694718860 C1(197,557) = 1.386351123194106292 C2(197,557) = 1.597200991365193221 C3(197,557) = 10.05054388776915390 C4(197,557) = 4456 Sum = 4075.248545752742320 Averaged sum = 0.4071584120044702088 logp*logq = 33.40340025077302188 -------------- ************************************* p = 197; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 340013536685793.5708 -------------- Searches starting with [197,563]-exponents: u = 187, v = 5 n_start has 443 digits --- performed 5000 steps in the continued fraction search [197,563]-exponents: u = 63, v = 79 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,563) = 0.5298101601061418025 D2(197,563) = 0.08379332196949709670 C1(197,563) = 0.7153490368191945775 C2(197,563) = 1.389724655175932438 C3(197,563) = 3.289454842768825781 C4(197,563) = 4504 Sum = 4955.555545662873086 Averaged sum = 0.4956051150777950881 logp*logq = 33.46000654652795351 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,563) = 0.5298101601061418025 D2(197,563) = 0.08379332196949709670 C1(197,563) = 0.7153490368191945775 C2(197,563) = 1.389724655175932438 C3(197,563) = 3.289454842768825781 C4(197,563) = 4504 Sum = 4955.555545662873086 Averaged sum = 0.4956051150777950881 logp*logq = 33.46000654652795351 -------------- ************************************* p = 197; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 359599764720337.1506 -------------- Searches starting with [197,569]-exponents: u = 6, v = 259 n_start has 728 digits --- performed 5000 steps in the continued fraction search [197,569]-exponents: u = 105, v = 160 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,569) = 0.6043607398596638322 D2(197,569) = 0.2471256523700333818 C1(197,569) = 0.7796248000732639418 C2(197,569) = 1.401806577521680629 C3(197,569) = 3.660907100099045751 C4(197,569) = 4552 Sum = 5258.735782906539191 Averaged sum = 0.5259261709077446936 logp*logq = 33.51601276424420080 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,569) = 0.6043607398596638322 D2(197,569) = 0.2471256523700333818 C1(197,569) = 0.7796248000732639418 C2(197,569) = 1.401806577521680629 C3(197,569) = 3.660907100099045751 C4(197,569) = 4552 Sum = 5258.735782906539191 Averaged sum = 0.5259261709077446936 logp*logq = 33.51601276424420080 -------------- ************************************* p = 197; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 366328042984030.2873 -------------- Searches starting with [197,571]-exponents: u = 6, v = 139 n_start has 397 digits --- performed 5000 steps in the continued fraction search [197,571]-exponents: u = 12, v = 100 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,571) = 0.7127261169546787446 D2(197,571) = 0.02816695999659253596 C1(197,571) = 0.9445274904766660935 C2(197,571) = 1.419847598602280425 C3(197,571) = 4.817219409212516568 C4(197,571) = 4568 Sum = 4860.723722234083312 Averaged sum = 0.4861209843218405152 logp*logq = 33.53455034020590706 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,571) = 0.7127261169546787446 D2(197,571) = 0.02816695999659253596 C1(197,571) = 0.9445274904766660935 C2(197,571) = 1.419847598602280425 C3(197,571) = 4.817219409212516568 C4(197,571) = 4568 Sum = 4860.723722234083312 Averaged sum = 0.4861209843218405152 logp*logq = 33.53455034020590706 -------------- ************************************* p = 197; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 387127793086623.7951 -------------- Searches starting with [197,577]-exponents: u = 6, v = 54 n_start has 163 digits starting right neighbors generation We generated 1683 left neighbors We generated 8327 right neighbors We generated 10009 non-negative rho_i D1(197,577) = 0.8859008651684786085 D2(197,577) = 0.02667906191848521235 C1(197,577) = 1.231836047801497724 C2(197,577) = 1.612559239736169781 C3(197,577) = 7.771252580070381731 C4(197,577) = 4616 Sum = 5132.408877738242135 Averaged sum = 0.5127793863261306958 logp*logq = 33.58977596914357567 -------------- ************************************* p = 197; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 423915347418733.8467 -------------- Searches starting with [197,587]-exponents: u = 6, v = 29 n_start has 95 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(197,587) = 0.7413514579693907948 D2(197,587) = 0.05600333057107758731 C1(197,587) = 0.9787287709208074326 C2(197,587) = 1.763997104967808388 C3(197,587) = 5.099416006065186619 C4(197,587) = 4696 Sum = 4061.736634599265603 Averaged sum = 0.4058084358676456792 logp*logq = 33.68055489891302252 -------------- ************************************* p = 197; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 447314417218736.0685 -------------- Searches starting with [197,593]-exponents: u = 6, v = 19 n_start has 67 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(197,593) = 0.7791294885811034092 D2(197,593) = 0.01946641923705661367 C1(197,593) = 1.024603184400709953 C2(197,593) = 1.822283955937345031 C3(197,593) = 5.504057155840404584 C4(197,593) = 4744 Sum = 4002.194236376819313 Averaged sum = 0.3998595500426435521 logp*logq = 33.73428285750170266 -------------- ************************************* p = 197; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 471749821320570.6581 -------------- Searches starting with [197,599]-exponents: u = 6, v = 19 n_start has 67 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(197,599) = 1.165294961731283582 D2(197,599) = 0.06211568400183825549 C1(197,599) = 1.783918479415113054 C2(197,599) = 1.866617964722523362 C3(197,599) = 19.48004500174631888 C4(197,599) = 4792 Sum = 3015.387832342935447 Averaged sum = 0.3012676423561729890 logp*logq = 33.78746992141840933 -------------- ************************************* p = 197; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 480131248495820.3998 -------------- Searches starting with [197,601]-exponents: u = 6, v = 14 n_start has 53 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(197,601) = 0.8556244796229918546 D2(197,601) = 0.07736011892552074719 C1(197,601) = 1.159207787519844174 C2(197,601) = 1.882420164870102535 C3(197,601) = 6.886336602236007244 C4(197,601) = 4808 Sum = 4597.215153530601582 Averaged sum = 0.4593081380288342074 logp*logq = 33.80508061682041415 -------------- ************************************* p = 197; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 506002742241176.9433 -------------- Searches starting with [197,607]-exponents: u = 6, v = 14 n_start has 53 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(197,607) = 0.5860571209895265342 D2(197,607) = 0.1271175400202163714 C1(197,607) = 0.7861538895641532662 C2(197,607) = 1.933839611800469825 C3(197,607) = 3.700910391326719041 C4(197,607) = 4856 Sum = 4352.441887805438173 Averaged sum = 0.4348528212414265334 logp*logq = 33.85756320465029488 -------------- ************************************* p = 197; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 532993082688250.7718 -------------- Searches starting with [197,613]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(197,613) = 0.7106949603819768595 D2(197,613) = 0.1288545422660886590 C1(197,613) = 0.9477440838989072645 C2(197,613) = 1.387641223359505986 C3(197,613) = 4.843080573634090896 C4(197,613) = 4904 Sum = 4218.381331897687004 Averaged sum = 0.4214588202515423123 logp*logq = 33.90952956193935279 -------------- ************************************* p = 197; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 551626324029503.1175 -------------- Searches starting with [197,617]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(197,617) = 0.6794054347466509067 D2(197,617) = 0.1293319557572977645 C1(197,617) = 0.9764957500337766981 C2(197,617) = 1.860615629544599609 C3(197,617) = 5.080496984076189358 C4(197,617) = 4936 Sum = 3641.967165308289370 Averaged sum = 0.3638692342200309092 logp*logq = 33.94389198375014552 -------------- ************************************* p = 197; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 561138990331969.5054 -------------- Searches starting with [197,619]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(197,619) = 0.7355635341913388245 D2(197,619) = 0.1199568545587004221 C1(197,619) = 1.020933797691524225 C2(197,619) = 1.851832208766089185 C3(197,619) = 5.470541854770736359 C4(197,619) = 4952 Sum = 4270.030487643321843 Averaged sum = 0.4266190915819084666 logp*logq = 33.96098974536758251 -------------- ************************************* p = 197; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 621048548839670.6939 -------------- Searches starting with [197,631]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(197,631) = 1.326661734737210119 D2(197,631) = 0.03154299944893116504 C1(197,631) = 1.843015303616764297 C2(197,631) = 1.988728255470126867 C3(197,631) = 21.49368569859606269 C4(197,631) = 5048 Sum = 4460.849435145089185 Averaged sum = 0.4456838280692465965 logp*logq = 34.06243037329203053 -------------- ************************************* p = 197; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 674843093527920.1072 -------------- Searches starting with [197,641]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(197,641) = 0.7352316364193069955 D2(197,641) = 0.03759828883050831545 C1(197,641) = 0.9882807990022762471 C2(197,641) = 2.033627431894945383 C3(197,641) = 5.181142995672704646 C4(197,641) = 5128 Sum = 4519.090762803299856 Averaged sum = 0.4515027238288839900 logp*logq = 34.14550132574674081 -------------- ************************************* p = 197; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 686041966645720.2631 -------------- Searches starting with [197,643]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(197,643) = 0.7753027507730281974 D2(197,643) = 0.02975404346500111629 C1(197,643) = 1.068154800913701730 C2(197,643) = 2.026450728409508624 C3(197,643) = 5.917881759499580332 C4(197,643) = 5144 Sum = 4743.804758628322420 Averaged sum = 0.4739539173372287361 logp*logq = 34.16195991765166320 -------------- ************************************* p = 197; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 708891839190982.4762 -------------- Searches starting with [197,647]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(197,647) = 0.7331836229853234960 D2(197,647) = 0.01454272519371688452 C1(197,647) = 1.046766473116073563 C2(197,647) = 2.012568190502145346 C3(197,647) = 5.710902135357906555 C4(197,647) = 5176 Sum = 4336.714316584015034 Averaged sum = 0.4332814783279063877 logp*logq = 34.19472407679066094 -------------- ************************************* p = 197; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 744320217101290.6366 -------------- Searches starting with [197,653]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(197,653) = 0.6889046221690959486 D2(197,653) = 0.08759284979348142582 C1(197,653) = 0.9288449080838351902 C2(197,653) = 1.720920949270743930 C3(197,653) = 4.693096995101294035 C4(197,653) = 5224 Sum = 4189.200650411599833 Averaged sum = 0.4185433760027575015 logp*logq = 34.24349245749610795 -------------- ************************************* p = 197; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 781170678020811.4389 -------------- Searches starting with [197,659]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(197,659) = 1.108778050780986975 D2(197,659) = 0.1141962643279046366 C1(197,659) = 1.599473176603549420 C2(197,659) = 1.872877577426161169 C3(197,659) = 14.33028849769345612 C4(197,659) = 5272 Sum = 5069.515226098329495 Averaged sum = 0.5064956765009820656 logp*logq = 34.29181477969106214 -------------- ************************************* p = 197; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 793777650029094.2740 -------------- Searches starting with [197,661]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(197,661) = 0.8227971855379165347 D2(197,661) = 0.1210895929174439787 C1(197,661) = 1.158681857280282526 C2(197,661) = 1.880292344245923886 C3(197,661) = 6.880310747851028812 C4(197,661) = 5288 Sum = 4693.752455762166157 Averaged sum = 0.4689531877072800637 logp*logq = 34.30782450021105965 -------------- ************************************* p = 197; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 872930629290198.2690 -------------- Searches starting with [197,673]-exponents: u = 16, v = 4 n_start has 49 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(197,673) = 0.9490230281120489082 D2(197,673) = 0.09953577145536814744 C1(197,673) = 1.346899714904984989 C2(197,673) = 1.970060624632301319 C3(197,673) = 9.411747027400119864 C4(197,673) = 5384 Sum = 4135.058335233546372 Averaged sum = 0.4131340129117340765 logp*logq = 34.40287720617120807 -------------- ************************************* p = 197; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 900692629620392.1454 -------------- Searches starting with [197,677]-exponents: u = 16, v = 4 n_start has 49 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(197,677) = 0.7381060522331878952 D2(197,677) = 0.07075411420544336264 C1(197,677) = 0.9897242143269015321 C2(197,677) = 1.942495864186191905 C3(197,677) = 5.193606238073436769 C4(197,677) = 5416 Sum = 4300.528080755837347 Averaged sum = 0.4296661085778636574 logp*logq = 34.43418517173860315 -------------- ************************************* p = 197; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 943674088918586.2712 -------------- Searches starting with [197,683]-exponents: u = 21, v = 4 n_start has 60 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(197,683) = 1.223977798006447276 D2(197,683) = 0.03159549195253721664 C1(197,683) = 1.893163552646924566 C2(197,683) = 1.905149019726095595 C3(197,683) = 23.36484641746012214 C4(197,683) = 5464 Sum = 2773.629667766755892 Averaged sum = 0.2771135645685638816 logp*logq = 34.48080197767371274 -------------- ************************************* p = 197; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1003554603701487.906 -------------- Searches starting with [197,691]-exponents: u = 21, v = 4 n_start has 60 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(197,691) = 0.6806264720716777821 D2(197,691) = 0.1087691392331330676 C1(197,691) = 0.9271760818613930324 C2(197,691) = 1.892748315925035458 C3(197,691) = 4.680078526011715839 C4(197,691) = 5528 Sum = 4228.564385023008362 Averaged sum = 0.4224762099133787952 logp*logq = 34.54232469593968865 -------------- ************************************* p = 197; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1082699767350341.096 -------------- Searches starting with [197,701]-exponents: u = 31, v = 4 n_start has 83 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(197,701) = 0.7467126817496695390 D2(197,701) = 0.01768470652077355945 C1(197,701) = 0.9833585865985684206 C2(197,701) = 1.804511056272634283 C3(197,701) = 5.138866367434873610 C4(197,701) = 5608 Sum = 3888.938769933152613 Averaged sum = 0.3885441872248129297 logp*logq = 34.61823410136622474 -------------- ************************************* p = 197; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1149594875070051.379 -------------- Searches starting with [197,709]-exponents: u = 36, v = 4 n_start has 95 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(197,709) = 1.020757093063170070 D2(197,709) = 0.02248951879352175192 C1(197,709) = 1.478292913922036650 C2(197,709) = 1.743446907015882555 C3(197,709) = 11.71261969104730908 C4(197,709) = 5672 Sum = 5213.639872420228410 Averaged sum = 0.5208951815786020991 logp*logq = 34.67818599267198886 -------------- ************************************* p = 197; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1237886212058216.433 -------------- Searches starting with [197,719]-exponents: u = 61, v = 4 n_start has 152 digits starting right neighbors generation We generated 1318 left neighbors We generated 8692 right neighbors We generated 10009 non-negative rho_i D1(197,719) = 0.5647446396959740181 D2(197,719) = 0.009875047960777414717 C1(197,719) = 0.7588005518834162446 C2(197,719) = 1.636796103115757551 C3(197,719) = 3.536184484396812364 C4(197,719) = 5752 Sum = 4155.886940071942170 Averaged sum = 0.4152150005067381527 logp*logq = 34.75218165223336153 -------------- ************************************* p = 197; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1312409209760014.746 -------------- Searches starting with [197,727]-exponents: u = 106, v = 4 n_start has 255 digits starting right neighbors generation We generated 3599 left neighbors We generated 6411 right neighbors We generated 10009 non-negative rho_i D1(197,727) = 0.6032558106356928918 D2(197,727) = 0.01794963104786060807 C1(197,727) = 0.8164717071520358116 C2(197,727) = 1.507521812937084920 C3(197,727) = 3.892469695235486553 C4(197,727) = 5816 Sum = 4592.922627734591331 Averaged sum = 0.4588792714291728775 logp*logq = 34.81064093448554977 -------------- ************************************* p = 197; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1370654518282409.263 -------------- Searches starting with [197,733]-exponents: u = 236, v = 4 n_start has 553 digits --- performed 5000 steps in the continued fraction search [197,733]-exponents: u = 128, v = 68 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,733) = 0.5213929373464546465 D2(197,733) = 0.1246407809847007128 C1(197,733) = 0.6881053394048965149 C2(197,733) = 1.386123291818258258 C3(197,733) = 3.143616299819387374 C4(197,733) = 5864 Sum = 5042.034475127415397 Averaged sum = 0.5042538729000315429 logp*logq = 34.85406477123535150 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,733) = 0.5213929373464546465 D2(197,733) = 0.1246407809847007128 C1(197,733) = 0.6881053394048965149 C2(197,733) = 1.386123291818258258 C3(197,733) = 3.143616299819387374 C4(197,733) = 5864 Sum = 5042.034475127415397 Averaged sum = 0.5042538729000315429 logp*logq = 34.85406477123535150 -------------- ************************************* p = 197; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1430978120025335.766 -------------- Searches starting with [197,739]-exponents: u = 5, v = 1019 n_start has 2935 digits --- performed 5000 steps in the continued fraction search [197,739]-exponents: u = 794, v = 384 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,739) = 0.6600590282633796355 D2(197,739) = 0.4893171493580172798 C1(197,739) = 0.8137237374588168770 C2(197,739) = 1.474799319296294462 C3(197,739) = 3.874705864201820719 C4(197,739) = 5912 Sum = 5968.017124220830252 Averaged sum = 0.5968613985619392190 logp*logq = 34.89713460537882286 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,739) = 0.6600590282633796355 D2(197,739) = 0.4893171493580172798 C1(197,739) = 0.8137237374588168770 C2(197,739) = 1.474799319296294462 C3(197,739) = 3.874705864201820719 C4(197,739) = 5912 Sum = 5968.017124220830252 Averaged sum = 0.5968613985619392190 logp*logq = 34.89713460537882286 -------------- ************************************* p = 197; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1472376258584981.225 -------------- Searches starting with [197,743]-exponents: u = 5, v = 195 n_start has 572 digits --- performed 5000 steps in the continued fraction search [197,743]-exponents: u = 58, v = 131 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,743) = 0.5764489486558091781 D2(197,743) = 0.1455006542401534810 C1(197,743) = 0.7509970501985931749 C2(197,743) = 1.396566498664159493 C3(197,743) = 3.490549358107684302 C4(197,743) = 5944 Sum = 5053.795153030101820 Averaged sum = 0.5054300583088410661 logp*logq = 34.92565399300633763 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,743) = 0.5764489486558091781 D2(197,743) = 0.1455006542401534810 C1(197,743) = 0.7509970501985931749 C2(197,743) = 1.396566498664159493 C3(197,743) = 3.490549358107684302 C4(197,743) = 5944 Sum = 5053.795153030101820 Averaged sum = 0.5054300583088410661 logp*logq = 34.92565399300633763 -------------- ************************************* p = 197; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1558086762026068.388 -------------- Searches starting with [197,751]-exponents: u = 5, v = 75 n_start has 228 digits starting right neighbors generation We generated 2886 left neighbors We generated 7124 right neighbors We generated 10009 non-negative rho_i D1(197,751) = 0.6676326095129064734 D2(197,751) = 0.01836617034205938646 C1(197,751) = 0.9122357216588169214 C2(197,751) = 1.544504291574105967 C3(197,751) = 4.565126255897600219 C4(197,751) = 6008 Sum = 4136.676514422092631 Averaged sum = 0.4132956853254163884 logp*logq = 34.98223502888706773 -------------- ************************************* p = 197; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1624987729715113.616 -------------- Searches starting with [197,757]-exponents: u = 5, v = 51 n_start has 159 digits starting right neighbors generation We generated 1389 left neighbors We generated 8621 right neighbors We generated 10009 non-negative rho_i D1(197,757) = 0.6146511464748992707 D2(197,757) = 0.02178591142326880340 C1(197,757) = 0.8606611732509480966 C2(197,757) = 1.636414300985851336 C3(197,757) = 4.189572289006195646 C4(197,757) = 6056 Sum = 3714.449079730216979 Averaged sum = 0.3711109081556815845 logp*logq = 35.02427665971933208 -------------- ************************************* p = 197; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1670868080660486.959 -------------- Searches starting with [197,761]-exponents: u = 5, v = 43 n_start has 136 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(197,761) = 0.9869281701840730851 D2(197,761) = 0.03038497339011848407 C1(197,761) = 1.398757250265344123 C2(197,761) = 1.685176284197151561 C3(197,761) = 10.26024947937382955 C4(197,761) = 6088 Sum = 3550.310699677445681 Averaged sum = 0.3547118293213553483 logp*logq = 35.05211969506429988 -------------- ************************************* p = 197; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1765780836758289.330 -------------- Searches starting with [197,769]-exponents: u = 5, v = 31 n_start has 101 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(197,769) = 0.5815979098330316453 D2(197,769) = 0.06517258945428183572 C1(197,769) = 0.7831142476721940787 C2(197,769) = 1.769203836152071307 C3(197,769) = 3.682232617761169933 C4(197,769) = 6152 Sum = 4105.869516418001934 Averaged sum = 0.4102177556617046592 logp*logq = 35.10736938789535332 -------------- ************************************* p = 197; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1814849731513008.472 -------------- Searches starting with [197,773]-exponents: u = 5, v = 27 n_start has 90 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(197,773) = 0.5559353665577040396 D2(197,773) = 0.02782309698305047667 C1(197,773) = 0.7539701771787101047 C2(197,773) = 1.792255237812206224 C3(197,773) = 3.507866437331769717 C4(197,773) = 6184 Sum = 4290.443884733395220 Averaged sum = 0.4286585957371760635 logp*logq = 35.13477906664519035 -------------- ************************************* p = 197; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1995374897440958.879 -------------- Searches starting with [197,787]-exponents: u = 5, v = 19 n_start has 67 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(197,787) = 0.6892283541053043262 D2(197,787) = 0.03467106612659305253 C1(197,787) = 0.9249212149209469885 C2(197,787) = 1.879988006585232283 C3(197,787) = 4.662545712160178714 C4(197,787) = 6296 Sum = 4315.594775163086914 Averaged sum = 0.4311714232353968342 logp*logq = 35.22960834611481064 -------------- ************************************* p = 197; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2133022430193918.323 -------------- Searches starting with [197,797]-exponents: u = 5, v = 15 n_start has 55 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(197,797) = 0.6518035255521814324 D2(197,797) = 0.1046739931741376965 C1(197,797) = 0.9402712175147561851 C2(197,797) = 1.952053232879285492 C3(197,797) = 4.783211439119597493 C4(197,797) = 6376 Sum = 3865.629794434365551 Averaged sum = 0.3862153855963997952 logp*logq = 35.29631635014110059 -------------- ************************************* p = 197; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2308258653419084.715 -------------- Searches starting with [197,809]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(197,809) = 0.6188368980608604636 D2(197,809) = 0.006707273303574698206 C1(197,809) = 0.9686740819929577629 C2(197,809) = 1.966180047880967558 C3(197,809) = 5.014780572634415934 C4(197,809) = 6472 Sum = 4267.533837084798143 Averaged sum = 0.4263696510225595108 logp*logq = 35.37526980548320873 -------------- ************************************* p = 197; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2338567037558509.182 -------------- Searches starting with [197,811]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(197,811) = 0.9130431790416837462 D2(197,811) = 0.01461395380831316023 C1(197,811) = 1.269578149364847923 C2(197,811) = 1.974515425693860004 C3(197,811) = 8.275127426247722444 C4(197,811) = 6488 Sum = 4270.768638887610950 Averaged sum = 0.4266928403324618793 logp*logq = 35.38831475958910013 -------------- ************************************* p = 197; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2494988995894986.208 -------------- Searches starting with [197,821]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(197,821) = 0.6967280350881891258 D2(197,821) = 0.05619464218660883716 C1(197,821) = 0.9979508574061766764 C2(197,821) = 2.018223580017090940 C3(197,821) = 5.265214132513334238 C4(197,821) = 6568 Sum = 4088.947638862957151 Averaged sum = 0.4085270895057405486 logp*logq = 35.45306071364150975 -------------- ************************************* p = 197; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2527267893774723.563 -------------- Searches starting with [197,823]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(197,823) = 0.6576578244636343607 D2(197,823) = 0.06497951173273001722 C1(197,823) = 0.8914601013146351135 C2(197,823) = 2.027430775444270042 C3(197,823) = 4.409954941300441433 C4(197,823) = 6584 Sum = 4345.561917521163370 Averaged sum = 0.4341654428535481436 logp*logq = 35.46591523027189588 -------------- ************************************* p = 197; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2592841604212914.040 -------------- Searches starting with [197,827]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(197,827) = 0.6133285179735337334 D2(197,827) = 0.08309938986776887956 C1(197,827) = 1.000310084322156862 C2(197,827) = 2.046392179409909476 C3(197,827) = 5.285931334364589153 C4(197,827) = 6616 Sum = 4311.333202991962630 Averaged sum = 0.4307456492149028504 logp*logq = 35.49153081368273166 -------------- ************************************* p = 197; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2626141836085233.814 -------------- Searches starting with [197,829]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(197,829) = 0.9325140031478927031 D2(197,829) = 0.07807656048941180332 C1(197,829) = 1.238734175063476688 C2(197,829) = 1.387746229604502059 C3(197,829) = 7.860997579234019025 C4(197,829) = 6632 Sum = 4501.039639528834356 Averaged sum = 0.4496992346417059002 logp*logq = 35.50429218155097399 -------------- ************************************* p = 197; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2797886503959596.072 -------------- Searches starting with [197,839]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(197,839) = 0.6163387092018300673 D2(197,839) = 0.08535234462315063512 C1(197,839) = 0.8511317444715587484 C2(197,839) = 1.963354618843806533 C3(197,839) = 4.123641384069483752 C4(197,839) = 6712 Sum = 4346.054499007647254 Averaged sum = 0.4342146567097259720 logp*logq = 35.56764070705735151 -------------- ************************************* p = 197; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3053520571719874.474 -------------- Searches starting with [197,853]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(197,853) = 0.6887447444841894243 D2(197,853) = 0.05177533150247192719 C1(197,853) = 1.054411669132306718 C2(197,853) = 1.932939807006072656 C3(197,853) = 5.784041628359822195 C4(197,853) = 6824 Sum = 4059.902649723562425 Averaged sum = 0.4056252022902949770 logp*logq = 35.65507160566413915 -------------- ************************************* p = 197; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3129934251514815.649 -------------- Searches starting with [197,857]-exponents: u = 23, v = 7 n_start has 74 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(197,857) = 0.6359828070935702244 D2(197,857) = 0.03975965541561202675 C1(197,857) = 0.8481115450827773520 C2(197,857) = 1.787839179043917910 C3(197,857) = 4.102962950295567499 C4(197,857) = 6856 Sum = 4195.234056814987653 Averaged sum = 0.4191461741247864575 logp*logq = 35.67978839333631028 -------------- ************************************* p = 197; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3168718236138318.781 -------------- Searches starting with [197,859]-exponents: u = 23, v = 7 n_start has 74 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(197,859) = 0.7333570511483651032 D2(197,859) = 0.03568027570101864114 C1(197,859) = 1.013544877942123178 C2(197,859) = 1.784154112824302305 C3(197,859) = 5.403671189607791356 C4(197,859) = 6872 Sum = 4505.280823849955116 Averaged sum = 0.4501229717104561010 logp*logq = 35.69210355911943896 -------------- ************************************* p = 197; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3247455312348939.962 -------------- Searches starting with [197,863]-exponents: u = 23, v = 7 n_start has 74 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(197,863) = 0.6280708058362814505 D2(197,863) = 0.02768453703087090970 C1(197,863) = 0.8468231321780082086 C2(197,863) = 1.776944202941846036 C3(197,863) = 4.094173142557304641 C4(197,863) = 6904 Sum = 4152.620096162376235 Averaged sum = 0.4148886098673570021 logp*logq = 35.71664810374704323 -------------- ************************************* p = 197; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3535626866435012.531 -------------- Searches starting with [197,877]-exponents: u = 59, v = 7 n_start has 156 digits starting right neighbors generation We generated 957 left neighbors We generated 9053 right neighbors We generated 10009 non-negative rho_i D1(197,877) = 0.7959316948973117071 D2(197,877) = 0.001074838478606769843 C1(197,877) = 1.120846998764168116 C2(197,877) = 1.515446490636737972 C3(197,877) = 6.460369144680501034 C4(197,877) = 7016 Sum = 3598.525651608300464 Averaged sum = 0.3595289890706664466 logp*logq = 35.80166700991976928 -------------- ************************************* p = 197; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3621660199035740.924 -------------- Searches starting with [197,881]-exponents: u = 77, v = 7 n_start has 198 digits starting right neighbors generation We generated 2770 left neighbors We generated 7240 right neighbors We generated 10009 non-negative rho_i D1(197,881) = 0.6030942135439119184 D2(197,881) = 0.02718713632039174437 C1(197,881) = 0.8284655627595013713 C2(197,881) = 1.779757757958924049 C3(197,881) = 3.970960495680672728 C4(197,881) = 7048 Sum = 4411.317446426848144 Averaged sum = 0.4407350830679236831 logp*logq = 35.82570893413319566 -------------- ************************************* p = 197; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3665308836261138.140 -------------- Searches starting with [197,883]-exponents: u = 95, v = 7 n_start has 239 digits starting right neighbors generation We generated 4117 left neighbors We generated 5893 right neighbors We generated 10009 non-negative rho_i D1(197,883) = 0.8810795521317206137 D2(197,883) = 0.01674008609872842362 C1(197,883) = 1.196855711192944639 C2(197,883) = 1.769729162544382745 C3(197,883) = 7.331685575135427860 C4(197,883) = 7064 Sum = 4718.602314402766665 Averaged sum = 0.4714359390950910845 logp*logq = 35.83768899307320543 -------------- ************************************* p = 197; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3753885833430335.750 -------------- Searches starting with [197,887]-exponents: u = 194, v = 7 n_start has 466 digits --- performed 5000 steps in the continued fraction search [197,887]-exponents: u = 105, v = 48 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,887) = 0.5420512205213759174 D2(197,887) = 0.1449012175192410214 C1(197,887) = 0.7133280362266562402 C2(197,887) = 1.504479707586671609 C3(197,887) = 3.278407637779710224 C4(197,887) = 7096 Sum = 4852.924420966019672 Averaged sum = 0.4853409761942213893 logp*logq = 35.86156792063341600 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(197,887) = 0.5420512205213759174 D2(197,887) = 0.1449012175192410214 C1(197,887) = 0.7133280362266562402 C2(197,887) = 1.504479707586671609 C3(197,887) = 3.278407637779710224 C4(197,887) = 7096 Sum = 4852.924420966019672 Averaged sum = 0.4853409761942213893 logp*logq = 35.86156792063341600 -------------- ************************************* p = 197; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4223201926823597.291 -------------- Searches starting with [197,907]-exponents: u = 9, v = 38 n_start has 134 digits starting right neighbors generation We generated 1188 left neighbors We generated 8822 right neighbors We generated 10009 non-negative rho_i D1(197,907) = 0.6063983397219911449 D2(197,907) = 0.04786828094216799052 C1(197,907) = 0.8549844795240372886 C2(197,907) = 1.819129377885288691 C3(197,907) = 4.150171287560312062 C4(197,907) = 7256 Sum = 4218.812727754915468 Averaged sum = 0.4215019210465496521 logp*logq = 35.97936998568515059 -------------- ************************************* p = 197; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4322535059778858.338 -------------- Searches starting with [197,911]-exponents: u = 9, v = 31 n_start has 113 digits starting right neighbors generation We generated 596 left neighbors We generated 9414 right neighbors We generated 10009 non-negative rho_i D1(197,911) = 1.038966127678164619 D2(197,911) = 0.001441555871665117711 C1(197,911) = 1.424248939873683743 C2(197,911) = 1.616673903871714446 C3(197,911) = 10.70497841412203276 C4(197,911) = 7288 Sum = 4989.430453980090259 Averaged sum = 0.4984944004376151722 logp*logq = 36.00261844444878712 -------------- ************************************* p = 197; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4526886013889399.783 -------------- Searches starting with [197,919]-exponents: u = 9, v = 24 n_start has 92 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(197,919) = 0.7609446569306858697 D2(197,919) = 0.01158716997205660997 C1(197,919) = 1.129805468303374882 C2(197,919) = 1.693834666141436313 C3(197,919) = 6.557425847276956551 C4(197,919) = 7352 Sum = 3088.088099872580466 Averaged sum = 0.3085311319684864088 logp*logq = 36.04881068387573670 -------------- ************************************* p = 197; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4793267727269203.227 -------------- Searches starting with [197,929]-exponents: u = 9, v = 17 n_start has 72 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(197,929) = 0.6457996784476709927 D2(197,929) = 0.02580126972407313875 C1(197,929) = 0.8630174742275717380 C2(197,929) = 1.801618905408819630 C3(197,929) = 4.206036644630581043 C4(197,929) = 7432 Sum = 4212.078798290299920 Averaged sum = 0.4208291336087820881 logp*logq = 36.10598877150214366 -------------- ************************************* p = 197; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5015401291131722.091 -------------- Searches starting with [197,937]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(197,937) = 0.5753900989421405193 D2(197,937) = 0.03991855203062402933 C1(197,937) = 0.7945838405939159341 C2(197,937) = 1.961570435835468525 C3(197,937) = 3.753207358699193891 C4(197,937) = 7496 Sum = 4222.562345812970464 Averaged sum = 0.4218765456901758881 logp*logq = 36.15128983129512991 -------------- ************************************* p = 197; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5129556127594364.595 -------------- Searches starting with [197,941]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(197,941) = 0.6655993523877778756 D2(197,941) = 0.04602764922671910485 C1(197,941) = 0.8833671602888243828 C2(197,941) = 1.968444194329234857 C3(197,941) = 4.350946933164468425 C4(197,941) = 7528 Sum = 4119.582162535398982 Averaged sum = 0.4115877872450193807 logp*logq = 36.17379552551446741 -------------- ************************************* p = 197; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5304730281032197.573 -------------- Searches starting with [197,947]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(197,947) = 0.6898902782265452200 D2(197,947) = 0.05532358717908581591 C1(197,947) = 0.9865347331210133896 C2(197,947) = 1.978880930051552125 C3(197,947) = 5.166106467555122010 C4(197,947) = 7576 Sum = 4092.500872156740600 Averaged sum = 0.4088820933316755520 logp*logq = 36.20737532327736394 -------------- ************************************* p = 197; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5484723278060556.130 -------------- Searches starting with [197,953]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(197,953) = 0.8358207603993208268 D2(197,953) = 0.06478862018198550585 C1(197,953) = 1.109613596833767887 C2(197,953) = 1.989479412190487592 C3(197,953) = 6.340693166160500025 C4(197,953) = 7624 Sum = 4012.879814117795792 Averaged sum = 0.4009271469794980310 logp*logq = 36.24074303669255838 -------------- ************************************* p = 197; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5924016776481796.583 -------------- Searches starting with [197,967]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(197,967) = 0.6566994302266767366 D2(197,967) = 0.06036730672097000840 C1(197,967) = 1.082866777238310774 C2(197,967) = 2.120706978682207162 C3(197,967) = 6.064591214352943431 C4(197,967) = 7736 Sum = 3923.374008886610078 Averaged sum = 0.3919846147353991486 logp*logq = 36.31779112326391511 -------------- ************************************* p = 197; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6054632308199772.626 -------------- Searches starting with [197,971]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(197,971) = 0.7757358679097250833 D2(197,971) = 0.04535072151304797659 C1(197,971) = 1.080696950532998846 C2(197,971) = 2.106589532752052080 C3(197,971) = 6.042726950294017848 C4(197,971) = 7768 Sum = 4644.018418725309776 Averaged sum = 0.4639842560420930938 logp*logq = 36.33960004475392744 -------------- ************************************* p = 197; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6254925013569060.672 -------------- Searches starting with [197,977]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(197,977) = 0.8423814803877729502 D2(197,977) = 0.02389404566006282053 C1(197,977) = 1.215180443600711653 C2(197,977) = 2.086474572359328850 C3(197,977) = 7.558763065250951503 C4(197,977) = 7816 Sum = 4341.715752938755428 Averaged sum = 0.4337811722388605683 logp*logq = 36.37214555051934062 -------------- ************************************* p = 197; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6460556127431219.462 -------------- Searches starting with [197,983]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(197,983) = 0.8702369914664787442 D2(197,983) = 0.003564962145639242851 C1(197,983) = 1.296137129191784948 C2(197,983) = 2.067478903981771935 C3(197,983) = 8.649163490527126556 C4(197,983) = 7864 Sum = 3383.078367834061277 Averaged sum = 0.3380036335132442079 logp*logq = 36.40449179683750057 -------------- ************************************* p = 197; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6743222702095395.342 -------------- Searches starting with [197,991]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(197,991) = 0.9452011999638761015 D2(197,991) = 0.1208271528539262874 C1(197,991) = 1.255974414292503529 C2(197,991) = 1.921912272618935235 C3(197,991) = 8.089852176109496552 C4(197,991) = 7928 Sum = 4107.622162424050264 Averaged sum = 0.4103928626660056213 logp*logq = 36.44731435127114857 -------------- ************************************* p = 197; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6961734262530711.898 -------------- Searches starting with [197,997]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(197,997) = 0.8837742712275078045 D2(197,997) = 0.1251229363270568043 C1(197,997) = 1.185050567879736090 C2(197,997) = 1.501035076074829929 C3(197,997) = 7.189023855285338012 C4(197,997) = 7976 Sum = 4522.746630804483858 Averaged sum = 0.4518679818967413186 logp*logq = 36.47920501386888139 -------------- ************************************* p = 199; q = 211; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2009719908269.477845 -------------- Searches starting with [199,211]-exponents: u = 1, v = 90 n_start has 212 digits starting right neighbors generation We generated 1117 left neighbors We generated 8893 right neighbors We generated 10009 non-negative rho_i D1(199,211) = 0.6480909306085484411 D2(199,211) = 0.008562688682296003819 C1(199,211) = 0.8554062821237394464 C2(199,211) = 1.237508084677610133 C3(199,211) = 4.159877488631782050 C4(199,211) = 1688 Sum = 4329.146593827182061 Averaged sum = 0.4325253865348368529 logp*logq = 28.32901647916987919 -------------- ************************************* p = 199; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2693354142620.092938 -------------- Searches starting with [199,223]-exponents: u = 1, v = 46 n_start has 111 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(199,223) = 0.9327790122519129588 D2(199,223) = 0.02625233957904183756 C1(199,223) = 1.274119564179468702 C2(199,223) = 1.412328977754386112 C3(199,223) = 8.358235584540543344 C4(199,223) = 1784 Sum = 5015.222270473792033 Averaged sum = 0.5010712629107595197 logp*logq = 28.62180842598392698 -------------- ************************************* p = 199; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2959123132697.454677 -------------- Searches starting with [199,227]-exponents: u = 1, v = 40 n_start has 97 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(199,227) = 0.6654216695403353099 D2(199,227) = 0.002840777930902170704 C1(199,227) = 0.9640357679450312902 C2(199,227) = 1.433241324506131343 C3(199,227) = 4.985384074495878725 C4(199,227) = 1816 Sum = 3999.945233084806541 Averaged sum = 0.3996348519417330943 logp*logq = 28.71591410142352814 -------------- ************************************* p = 199; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3099763386667.932838 -------------- Searches starting with [199,229]-exponents: u = 1, v = 37 n_start has 90 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(199,229) = 0.6781930169661804198 D2(199,229) = 0.01317898645223779694 C1(199,229) = 0.9159448546237672173 C2(199,229) = 1.461044192424250617 C3(199,229) = 4.601441809027163653 C4(199,229) = 1832 Sum = 4562.776448804171347 Averaged sum = 0.4558673642525898038 logp*logq = 28.76234689762529215 -------------- ************************************* p = 199; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3397320491192.361001 -------------- Searches starting with [199,233]-exponents: u = 1, v = 33 n_start has 81 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(199,233) = 0.6750438321757239798 D2(199,233) = 0.05567311336449183941 C1(199,233) = 0.9407280671239684331 C2(199,233) = 1.533105878395271891 C3(199,233) = 4.795459327204089843 C4(199,233) = 1864 Sum = 4576.962990968253259 Averaged sum = 0.4572847428282798740 logp*logq = 28.85400814601805871 -------------- ************************************* p = 199; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3886736369543.925379 -------------- Searches starting with [199,239]-exponents: u = 1, v = 28 n_start has 69 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(199,239) = 0.7877011508595084793 D2(199,239) = 0.07166210428188271277 C1(199,239) = 1.173641379971497474 C2(199,239) = 1.595473663786789457 C3(199,239) = 7.069616290919244212 C4(199,239) = 1912 Sum = 4373.745551000931181 Averaged sum = 0.4369812719553333181 logp*logq = 28.98859094186689613 -------------- ************************************* p = 199; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4062022306913.818768 -------------- Searches starting with [199,241]-exponents: u = 1, v = 27 n_start has 67 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(199,241) = 0.6970827861795208526 D2(199,241) = 0.08485674430913494335 C1(199,241) = 0.9578726392808939403 C2(199,241) = 1.622036177198582918 C3(199,241) = 4.934443720276988993 C4(199,241) = 1928 Sum = 4688.806666619261405 Averaged sum = 0.4684590535137637531 logp*logq = 29.03270207068018492 -------------- ************************************* p = 199; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5037377380143.629072 -------------- Searches starting with [199,251]-exponents: u = 1, v = 22 n_start has 56 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(199,251) = 0.9949168322305730210 D2(199,251) = 0.01860190571351383799 C1(199,251) = 1.341836696983949451 C2(199,251) = 1.634911553877511065 C3(199,251) = 9.356713223429189172 C4(199,251) = 2008 Sum = 4664.733777836007018 Averaged sum = 0.4660539292472781514 logp*logq = 29.24790670149439865 -------------- ************************************* p = 199; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5708350467095.288269 -------------- Searches starting with [199,257]-exponents: u = 1, v = 20 n_start has 51 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(199,257) = 0.6508178429577984944 D2(199,257) = 0.001621199053204082008 C1(199,257) = 0.9106325924010991601 C2(199,257) = 1.658552633325442716 C3(199,257) = 4.560886945001278999 C4(199,257) = 2056 Sum = 4233.017368347044399 Averaged sum = 0.4229211078376505543 logp*logq = 29.37295121293916392 -------------- ************************************* p = 199; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6450055314781.648730 -------------- Searches starting with [199,263]-exponents: u = 1, v = 18 n_start has 46 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(199,263) = 1.143343722174182068 D2(199,263) = 0.06668819112883210058 C1(199,263) = 1.779354125798078662 C2(199,263) = 1.747989862658733694 C3(199,263) = 19.39842424824650883 C4(199,263) = 2104 Sum = 4828.601655837043676 Averaged sum = 0.4824259821997246155 logp*logq = 29.49510982263459555 -------------- ************************************* p = 199; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7268076111802.756760 -------------- Searches starting with [199,269]-exponents: u = 1, v = 17 n_start has 44 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(199,269) = 0.6192457581393439375 D2(199,269) = 0.1131858161829066884 C1(199,269) = 0.9050434973512153891 C2(199,269) = 1.820674030735979756 C3(199,269) = 4.518604480834625671 C4(199,269) = 2152 Sum = 4286.625319498043784 Averaged sum = 0.4282770825754864406 logp*logq = 29.61451273858743599 -------------- ************************************* p = 199; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7558717003925.432669 -------------- Searches starting with [199,271]-exponents: u = 1, v = 17 n_start has 44 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(199,271) = 0.8280743173196859267 D2(199,271) = 0.01470620479493683863 C1(199,271) = 1.112939134452830367 C2(199,271) = 1.748225088469082354 C3(199,271) = 6.389457629171411800 C4(199,271) = 2168 Sum = 4368.976323417855114 Averaged sum = 0.4365047780415481181 logp*logq = 29.65372258324240518 -------------- ************************************* p = 199; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8487698533630.368088 -------------- Searches starting with [199,277]-exponents: u = 1, v = 16 n_start has 42 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(199,277) = 1.392099489507932182 D2(199,277) = 0.01386967151026062527 C1(199,277) = 2.210912324936476430 C2(199,277) = 1.778248110300929194 C3(199,277) = 39.81958529741809795 C4(199,277) = 2216 Sum = 1771.281616414691409 Averaged sum = 0.1769688896407924277 logp*logq = 29.76963899983644664 -------------- ************************************* p = 199; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9156910670586.281817 -------------- Searches starting with [199,281]-exponents: u = 1, v = 15 n_start has 40 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(199,281) = 0.8767088770177582789 D2(199,281) = 0.1214729735041397254 C1(199,281) = 1.252110642483974884 C2(199,281) = 1.888104969542017334 C3(199,281) = 8.057237385761901786 C4(199,281) = 2248 Sum = 4805.019509886150814 Averaged sum = 0.4800698880893346801 logp*logq = 29.84552997469218640 -------------- ************************************* p = 199; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9507207404268.880176 -------------- Searches starting with [199,283]-exponents: u = 1, v = 15 n_start has 40 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(199,283) = 1.011196035447270244 D2(199,283) = 0.1092200911149572319 C1(199,283) = 1.618996433011587654 C2(199,283) = 1.087451665209854327 C3(199,283) = 14.84948105535235906 C4(199,283) = 2264 Sum = 2481.872878098902296 Averaged sum = 0.2479641201017986109 logp*logq = 29.88307130102086730 -------------- ************************************* p = 199; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11425685793286.62786 -------------- Searches starting with [199,293]-exponents: u = 1, v = 13 n_start has 35 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(199,293) = 0.7319888374245586553 D2(199,293) = 0.02045913110435727133 C1(199,293) = 1.054341311840227737 C2(199,293) = 1.858407852782075984 C3(199,293) = 5.795023130406996086 C4(199,293) = 2344 Sum = 3831.269953337543832 Averaged sum = 0.3827824910917717886 logp*logq = 30.06688507657795013 -------------- ************************************* p = 199; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14627885851581.99015 -------------- Searches starting with [199,307]-exponents: u = 1, v = 12 n_start has 33 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(199,307) = 0.6628566416731861314 D2(199,307) = 0.08979678607075004267 C1(199,307) = 0.9265127503718640913 C2(199,307) = 1.973981014133053173 C3(199,307) = 4.683194603820321549 C4(199,307) = 2456 Sum = 4531.689872209579546 Averaged sum = 0.4527615018692756065 logp*logq = 30.31395081276590270 -------------- ************************************* p = 199; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15665367734318.09661 -------------- Searches starting with [199,311]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(199,311) = 0.8470046360275107808 D2(199,311) = 0.1198733809208178469 C1(199,311) = 1.160681183462244672 C2(199,311) = 1.750542069378930898 C3(199,311) = 6.918567777665171737 C4(199,311) = 2488 Sum = 4888.487304046748902 Averaged sum = 0.4884091621587320313 logp*logq = 30.38247351495778471 -------------- ************************************* p = 199; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16206039094856.75797 -------------- Searches starting with [199,313]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(199,313) = 0.6682977656442995918 D2(199,313) = 0.1161693680261594398 C1(199,313) = 0.9744687480747662063 C2(199,313) = 1.747994530265448830 C3(199,313) = 5.072817640717928565 C4(199,313) = 2504 Sum = 4015.654370787259848 Averaged sum = 0.4012043531608811917 logp*logq = 30.41640507233346470 -------------- ************************************* p = 199; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17332813322711.61769 -------------- Searches starting with [199,317]-exponents: u = 1, v = 11 n_start has 30 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(199,317) = 0.6014254978835764196 D2(199,317) = 0.02835290802230472671 C1(199,317) = 0.8195354084348811995 C2(199,317) = 1.962155403705020576 C3(199,317) = 3.918499756896455414 C4(199,317) = 2536 Sum = 4354.413506536710423 Averaged sum = 0.4350498058284254594 logp*logq = 30.48362254477904720 -------------- ************************************* p = 199; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21788015568753.09067 -------------- Searches starting with [199,331]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(199,331) = 0.8402071079772720921 D2(199,331) = 0.08005197597642587290 C1(199,331) = 1.186521416579675299 C2(199,331) = 1.617031232032233285 C3(199,331) = 7.222997620326137543 C4(199,331) = 2648 Sum = 4397.352452536687553 Averaged sum = 0.4393398393982103660 logp*logq = 30.71238119000604051 -------------- ************************************* p = 199; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23961585398315.74707 -------------- Searches starting with [199,337]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(199,337) = 0.8994700885885922085 D2(199,337) = 0.05152697331020916852 C1(199,337) = 1.524680695992936268 C2(199,337) = 1.163498888258790239 C3(199,337) = 12.68973171109848687 C4(199,337) = 2696 Sum = 4253.277056665428582 Averaged sum = 0.4249452549370994686 logp*logq = 30.80747305553081816 -------------- ************************************* p = 199; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27972949757917.11855 -------------- Searches starting with [199,347]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(199,347) = 1.237500795803643069 D2(199,347) = 0.06433377993462022278 C1(199,347) = 1.607595422802282986 C2(199,347) = 1.787063737287783178 C3(199,347) = 14.57001701048107176 C4(199,347) = 2776 Sum = 3850.558942806993403 Averaged sum = 0.3847096555906677394 logp*logq = 30.96225907907323955 -------------- ************************************* p = 199; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28837001561806.28609 -------------- Searches starting with [199,349]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(199,349) = 0.6277107845355605382 D2(199,349) = 0.05621327791096416571 C1(199,349) = 0.8715177986867238843 C2(199,349) = 1.634115959682870393 C3(199,349) = 4.273078571804400172 C4(199,349) = 2792 Sum = 4442.389467158654092 Averaged sum = 0.4438394911738089811 logp*logq = 30.99268045490301549 -------------- ************************************* p = 199; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30630080651466.21663 -------------- Searches starting with [199,353]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(199,353) = 1.130501117514956257 D2(199,353) = 0.04614361493161059204 C1(199,353) = 1.495667861688170184 C2(199,353) = 1.476414004221134260 C3(199,353) = 12.09080095063417477 C4(199,353) = 2824 Sum = 4171.162955836231331 Averaged sum = 0.4167412284779929394 logp*logq = 31.05300366985713792 -------------- ************************************* p = 199; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33488351718355.55546 -------------- Searches starting with [199,359]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(199,359) = 1.167251284170976175 D2(199,359) = 0.03398121522835601021 C1(199,359) = 1.499468809433526355 C2(199,359) = 1.089509469876392417 C3(199,359) = 12.16762788910391624 C4(199,359) = 2872 Sum = 4144.194574564237220 Averaged sum = 0.4140468153226333520 logp*logq = 31.14221878439463096 -------------- ************************************* p = 199; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37632169112811.15709 -------------- Searches starting with [199,367]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(199,367) = 0.6709420862828925685 D2(199,367) = 0.03772871437232226388 C1(199,367) = 1.002984963672138728 C2(199,367) = 1.816722824381443636 C3(199,367) = 5.319700754105164313 C4(199,367) = 2936 Sum = 4119.423952511561346 Averaged sum = 0.4115719804687342738 logp*logq = 31.25888036205120159 -------------- ************************************* p = 199; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41005184205868.05082 -------------- Searches starting with [199,373]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(199,373) = 0.7157730078110106981 D2(199,373) = 0.02729751836026301096 C1(199,373) = 1.000473021396306252 C2(199,373) = 1.654178421405644802 C3(199,373) = 5.297478986501583877 C4(199,373) = 2984 Sum = 4553.259380417120168 Averaged sum = 0.4549165131798501516 logp*logq = 31.34471961868504370 -------------- ************************************* p = 199; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44619363562984.74867 -------------- Searches starting with [199,379]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(199,379) = 0.6005590685426654198 D2(199,379) = 0.01842172733914418913 C1(199,379) = 0.8064936129689894482 C2(199,379) = 1.490166222935392834 C3(199,379) = 3.834256177026666246 C4(199,379) = 3032 Sum = 4433.453528382548913 Averaged sum = 0.4429467008075281160 logp*logq = 31.42918904133916053 -------------- ************************************* p = 199; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47169202486348.52026 -------------- Searches starting with [199,383]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(199,383) = 0.7415322261531407823 D2(199,383) = 0.01236491920228439375 C1(199,383) = 1.304231428515357310 C2(199,383) = 1.278924575399644258 C3(199,383) = 8.788350602273841136 C4(199,383) = 3064 Sum = 4627.283049045850177 Averaged sum = 0.4623122239030722526 logp*logq = 31.48476230586000734 -------------- ************************************* p = 199; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51214474454125.07911 -------------- Searches starting with [199,389]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(199,389) = 0.6834391639117081477 D2(199,389) = 0.01061887641281149019 C1(199,389) = 1.201780471832603246 C2(199,389) = 1.856047916239359716 C3(199,389) = 7.409021594697157868 C4(199,389) = 3112 Sum = 4560.051987043391821 Averaged sum = 0.4555951630575873535 logp*logq = 31.56704331220284326 -------------- ************************************* p = 199; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57041419935546.74014 -------------- Searches starting with [199,397]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(199,397) = 1.091967351890781459 D2(199,397) = 0.001155481317607836488 C1(199,397) = 1.650483985705755182 C2(199,397) = 1.850592432323261995 C3(199,397) = 15.64947114496307088 C4(199,397) = 3176 Sum = 4410.448552200595354 Averaged sum = 0.4406482717754616199 logp*logq = 31.67479878540543938 -------------- ************************************* p = 199; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60150143399282.58618 -------------- Searches starting with [199,401]-exponents: u = 9, v = 7 n_start has 39 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(199,401) = 0.8843118418559357817 D2(199,401) = 0.1538297201211036678 C1(199,401) = 1.223566237997822847 C2(199,401) = 1.822454169136771598 C3(199,401) = 7.682946441725397717 C4(199,401) = 3208 Sum = 4344.327560201283888 Averaged sum = 0.4340421181138259454 logp*logq = 31.72786494237436747 -------------- ************************************* p = 199; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66780180276600.32283 -------------- Searches starting with [199,409]-exponents: u = 17, v = 7 n_start has 58 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(199,409) = 0.8234630729144306567 D2(199,409) = 0.1065710929246750294 C1(199,409) = 1.084472164979724252 C2(199,409) = 1.794780038753168819 C3(199,409) = 6.093427985343579450 C4(199,409) = 3272 Sum = 4106.981795024892054 Averaged sum = 0.4103288835073326060 logp*logq = 31.83242745000016613 -------------- ************************************* p = 199; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75888879275622.15431 -------------- Searches starting with [199,419]-exponents: u = 73, v = 7 n_start has 187 digits starting right neighbors generation We generated 2839 left neighbors We generated 7171 right neighbors We generated 10009 non-negative rho_i D1(199,419) = 0.7347516541761382784 D2(199,419) = 0.01267318730156657008 C1(199,419) = 1.020134048999664002 C2(199,419) = 1.705497454596206789 C3(199,419) = 5.473920142454586889 C4(199,419) = 3352 Sum = 4067.920996801654318 Averaged sum = 0.4064263159957692394 logp*logq = 31.96029127148756092 -------------- ************************************* p = 199; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77826066234191.15132 -------------- Searches starting with [199,421]-exponents: u = 121, v = 7 n_start has 297 digits --- performed 5000 steps in the continued fraction search [199,421]-exponents: u = 47, v = 16 --- starting right neighbors generation We generated 7157 left neighbors We generated 2853 right neighbors We generated 10009 non-negative rho_i D1(199,421) = 0.6274064700406215997 D2(199,421) = 0.01596025712519465170 C1(199,421) = 0.9609424502858169882 C2(199,421) = 1.609911825732166059 C3(199,421) = 4.959751355791202960 C4(199,421) = 3368 Sum = 4682.569829680843117 Averaged sum = 0.4678359306305168465 logp*logq = 31.98549753256958078 -------------- ************************************* p = 199; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88123399980494.28608 -------------- Searches starting with [199,431]-exponents: u = 8, v = 41 n_start has 127 digits starting right neighbors generation We generated 807 left neighbors We generated 9203 right neighbors We generated 10009 non-negative rho_i D1(199,431) = 0.5575011916954054265 D2(199,431) = 0.01326682115011706651 C1(199,431) = 0.7893371268591357956 C2(199,431) = 1.459553489210291215 C3(199,431) = 3.726185875957933704 C4(199,431) = 3448 Sum = 4437.653652961574443 Averaged sum = 0.4433663355941227339 logp*logq = 32.10975922064644401 -------------- ************************************* p = 199; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90309638135899.63108 -------------- Searches starting with [199,433]-exponents: u = 8, v = 34 n_start has 109 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(199,433) = 0.6352090670703102144 D2(199,433) = 0.02438265910136181643 C1(199,433) = 0.8427712806040961356 C2(199,433) = 1.514956697228946671 C3(199,433) = 4.073204829192412837 C4(199,433) = 3464 Sum = 3972.528198196221856 Averaged sum = 0.3968956137672316771 logp*logq = 32.13426530527258271 -------------- ************************************* p = 199; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97133758607562.55472 -------------- Searches starting with [199,439]-exponents: u = 8, v = 20 n_start has 72 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(199,439) = 0.6145674947296263518 D2(199,439) = 0.06354581190894266626 C1(199,439) = 0.8369570099702330964 C2(199,439) = 1.687694296069891377 C3(199,439) = 4.033929518799514368 C4(199,439) = 3512 Sum = 4159.235111347948503 Averaged sum = 0.4155495165698819565 logp*logq = 32.20711009926414674 -------------- ************************************* p = 199; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101911128843559.7629 -------------- Searches starting with [199,443]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(199,443) = 0.7375405816122849220 D2(199,443) = 0.09654113099011435974 C1(199,443) = 1.005013295771392453 C2(199,443) = 1.834710910258154140 C3(199,443) = 5.337712294602603484 C4(199,443) = 3544 Sum = 4419.835454295858977 Averaged sum = 0.4415861179234547884 logp*logq = 32.25512226357523213 -------------- ************************************* p = 199; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109433012105495.2729 -------------- Searches starting with [199,449]-exponents: u = 8, v = 13 n_start has 53 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(199,449) = 1.095100794792210711 D2(199,449) = 0.08866411951097334606 C1(199,449) = 1.769014834850442205 C2(199,449) = 1.123516285184539527 C3(199,449) = 19.06705547755060269 C4(199,449) = 3592 Sum = 3067.288854755724797 Averaged sum = 0.3064530777056374060 logp*logq = 32.32633371638897676 -------------- ************************************* p = 199; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120156496063633.3742 -------------- Searches starting with [199,457]-exponents: u = 15, v = 6 n_start has 51 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(199,457) = 0.5769004879514216517 D2(199,457) = 0.07892465960581888050 C1(199,457) = 0.7956735020628754851 C2(199,457) = 1.842728165551571808 C3(199,457) = 3.765739904965930254 C4(199,457) = 3656 Sum = 4395.089433143409315 Averaged sum = 0.4391137409474881921 logp*logq = 32.41981614293025795 -------------- ************************************* p = 199; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125829062245037.6870 -------------- Searches starting with [199,461]-exponents: u = 22, v = 6 n_start has 67 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(199,461) = 0.8282004100130702079 D2(199,461) = 0.04818168352463308350 C1(199,461) = 1.149880311023704992 C2(199,461) = 1.813700862699462843 C3(199,461) = 6.795154222104522974 C4(199,461) = 3688 Sum = 4330.484577628882051 Averaged sum = 0.4326590646047439355 logp*logq = 32.46594545294991926 -------------- ************************************* p = 199; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128745696315336.0431 -------------- Searches starting with [199,463]-exponents: u = 22, v = 6 n_start has 67 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(199,463) = 0.5855265692862354144 D2(199,463) = 0.03378357833201978335 C1(199,463) = 0.7935169291599452521 C2(199,463) = 1.800154930046010647 C3(199,463) = 3.752230857744204400 C4(199,463) = 3704 Sum = 4369.696586564023573 Averaged sum = 0.4365767395907706637 logp*logq = 32.48886022823670831 -------------- ************************************* p = 199; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134743530571511.6109 -------------- Searches starting with [199,467]-exponents: u = 29, v = 6 n_start has 83 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(199,467) = 0.7183170682191993154 D2(199,467) = 0.006620020510257111319 C1(199,467) = 1.052366985647244406 C2(199,467) = 1.774684552849099004 C3(199,467) = 5.775988245868964929 C4(199,467) = 3736 Sum = 4061.917471333199732 Averaged sum = 0.4058265032803676424 logp*logq = 32.53439431396408194 -------------- ************************************* p = 199; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 154110739722747.1739 -------------- Searches starting with [199,479]-exponents: u = 267, v = 6 n_start has 630 digits --- performed 5000 steps in the continued fraction search [199,479]-exponents: u = 172, v = 68 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,479) = 0.6826040407955773522 D2(199,479) = 0.2395153472529732327 C1(199,479) = 0.8861962998609989643 C2(199,479) = 1.401029416732663549 C3(199,479) = 4.378890697009040829 C4(199,479) = 3832 Sum = 5193.632401412183511 Averaged sum = 0.5194151816593842895 logp*logq = 32.66869254903022967 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,479) = 0.6826040407955773522 D2(199,479) = 0.2395153472529732327 C1(199,479) = 0.8861962998609989643 C2(199,479) = 1.401029416732663549 C3(199,479) = 4.378890697009040829 C4(199,479) = 3832 Sum = 5193.632401412183511 Averaged sum = 0.5194151816593842895 logp*logq = 32.66869254903022967 -------------- ************************************* p = 199; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168232545797241.7861 -------------- Searches starting with [199,487]-exponents: u = 7, v = 65 n_start has 191 digits starting right neighbors generation We generated 2737 left neighbors We generated 7273 right neighbors We generated 10009 non-negative rho_i D1(199,487) = 0.6220114038094123604 D2(199,487) = 0.01090327145529588542 C1(199,487) = 0.8565856973435027893 C2(199,487) = 1.624624752225879840 C3(199,487) = 4.168061468114712349 C4(199,487) = 3896 Sum = 4551.433012153071869 Averaged sum = 0.4547340405787862793 logp*logq = 32.75636833938255259 -------------- ************************************* p = 199; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175676894627088.7094 -------------- Searches starting with [199,491]-exponents: u = 7, v = 41 n_start has 127 digits starting right neighbors generation We generated 1191 left neighbors We generated 8819 right neighbors We generated 10009 non-negative rho_i D1(199,491) = 0.6681695389791486322 D2(199,491) = 0.01721196615303524798 C1(199,491) = 0.9558048105687125123 C2(199,491) = 1.715018964381874958 C3(199,491) = 4.917469293743310815 C4(199,491) = 3928 Sum = 3408.143442424953940 Averaged sum = 0.3405078871440657348 logp*logq = 32.79966759779048491 -------------- ************************************* p = 199; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 191367699345276.4583 -------------- Searches starting with [199,499]-exponents: u = 7, v = 23 n_start has 79 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(199,499) = 0.7085395392392940981 D2(199,499) = 0.1024152737697936783 C1(199,499) = 1.066813956716606626 C2(199,499) = 1.802849471377926498 C3(199,499) = 5.916732874486715553 C4(199,499) = 3992 Sum = 3905.640365870016491 Averaged sum = 0.3902128450264778191 logp*logq = 32.88521782075430553 -------------- ************************************* p = 199; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199628640705909.2099 -------------- Searches starting with [199,503]-exponents: u = 7, v = 17 n_start has 63 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(199,503) = 0.9937166582549600907 D2(199,503) = 0.01515858555463255742 C1(199,503) = 1.319605389164225675 C2(199,503) = 1.717609998431351133 C3(199,503) = 9.016415631889891356 C4(199,503) = 4024 Sum = 4108.677173082814133 Averaged sum = 0.4104982688663017417 logp*logq = 32.92747996002270038 -------------- ************************************* p = 199; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 212560369529795.3594 -------------- Searches starting with [199,509]-exponents: u = 7, v = 11 n_start has 46 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(199,509) = 1.267804999287252794 D2(199,509) = 0.04428118842646403981 C1(199,509) = 1.760228833666399137 C2(199,509) = 1.873405236149168871 C3(199,509) = 18.78992145821297044 C4(199,509) = 4072 Sum = 5856.692663293322956 Averaged sum = 0.5851426379551726402 logp*logq = 32.99024715585147507 -------------- ************************************* p = 199; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 240464089491881.6342 -------------- Searches starting with [199,521]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(199,521) = 1.926863909260136330 D2(199,521) = 0.05930911211000480157 C1(199,521) = 3.178743773065401043 C2(199,521) = 1.085873859229290392 C3(199,521) = 199.7755755961314344 C4(199,521) = 4168 Sum = 4080.202079605371001 Averaged sum = 0.4076533199725617944 logp*logq = 33.11359187828354186 -------------- ************************************* p = 199; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 245390703512555.2896 -------------- Searches starting with [199,523]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(199,523) = 0.7986434957452075490 D2(199,523) = 0.08001168093111832484 C1(199,523) = 1.064612314554996863 C2(199,523) = 1.332947935385562579 C3(199,523) = 5.895064683643651378 C4(199,523) = 4184 Sum = 4488.096093758131625 Averaged sum = 0.4484060439362705190 logp*logq = 33.13387276449085821 -------------- ************************************* p = 199; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 293525793189978.5821 -------------- Searches starting with [199,541]-exponents: u = 19, v = 5 n_start has 58 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(199,541) = 0.5856631677178065983 D2(199,541) = 0.1389704525670449283 C1(199,541) = 0.7945246930887240933 C2(199,541) = 1.886498050533024073 C3(199,541) = 3.758537576880483373 C4(199,541) = 4328 Sum = 4244.443435639529785 Averaged sum = 0.4240626871455220087 logp*logq = 33.31298663273221620 -------------- ************************************* p = 199; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 311172726026431.6787 -------------- Searches starting with [199,547]-exponents: u = 25, v = 5 n_start has 72 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(199,547) = 0.8177837080220917969 D2(199,547) = 0.07173792477858367052 C1(199,547) = 1.110012196367403376 C2(199,547) = 1.821433800357466892 C3(199,547) = 6.358368452900765519 C4(199,547) = 4376 Sum = 4581.929944819738390 Averaged sum = 0.4577809915895432501 logp*logq = 33.37136926308882122 -------------- ************************************* p = 199; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 342490518193984.0976 -------------- Searches starting with [199,557]-exponents: u = 43, v = 5 n_start has 113 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(199,557) = 1.534712307344593116 D2(199,557) = 0.04418910053311591287 C1(199,557) = 2.214684169356610361 C2(199,557) = 1.715882125883600658 C3(199,557) = 40.07066205846626637 C4(199,557) = 4456 Sum = 3954.920271923355207 Averaged sum = 0.3951364044283500057 logp*logq = 33.46726508914246036 -------------- ************************************* p = 199; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 362476083668970.7861 -------------- Searches starting with [199,563]-exponents: u = 67, v = 5 n_start has 168 digits starting right neighbors generation We generated 1918 left neighbors We generated 8092 right neighbors We generated 10009 non-negative rho_i D1(199,563) = 0.7489616490632567907 D2(199,563) = 0.01045595172992096694 C1(199,563) = 1.045797077140752794 C2(199,563) = 1.623431170443837046 C3(199,563) = 5.713095466434058107 C4(199,563) = 4504 Sum = 3830.929200231459815 Averaged sum = 0.3827484464213667514 logp*logq = 33.52397961196116218 -------------- ************************************* p = 199; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 383397301983866.4846 -------------- Searches starting with [199,569]-exponents: u = 151, v = 5 n_start has 361 digits --- performed 5000 steps in the continued fraction search [199,569]-exponents: u = 61, v = 41 --- starting right neighbors generation We generated 8927 left neighbors We generated 1083 right neighbors We generated 10009 non-negative rho_i D1(199,569) = 1.124586889581597613 D2(199,569) = 0.002204057929338686899 C1(199,569) = 1.495229458893367320 C2(199,569) = 1.445133331037979501 C3(199,569) = 12.08197096169201446 C4(199,569) = 4552 Sum = 4829.356325060946054 Averaged sum = 0.4825013812629579433 logp*logq = 33.58009290943621482 -------------- ************************************* p = 199; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 390584686243338.1856 -------------- Searches starting with [199,571]-exponents: u = 277, v = 5 n_start has 651 digits --- performed 5000 steps in the continued fraction search [199,571]-exponents: u = 119, v = 118 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,571) = 0.8944688448991792154 D2(199,571) = 0.2234980094047435371 C1(199,571) = 1.159507342398662738 C2(199,571) = 1.403386868900915916 C3(199,571) = 6.905047325892786524 C4(199,571) = 4568 Sum = 5180.016091447164082 Averaged sum = 0.5180534144861650247 logp*logq = 33.59866592787634147 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,571) = 0.8944688448991792154 D2(199,571) = 0.2234980094047435371 C1(199,571) = 1.159507342398662738 C2(199,571) = 1.403386868900915916 C3(199,571) = 6.905047325892786524 C4(199,571) = 4568 Sum = 5180.016091447164082 Averaged sum = 0.5180534144861650247 logp*logq = 33.59866592787634147 -------------- ************************************* p = 199; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 412805289673204.3558 -------------- Searches starting with [199,577]-exponents: u = 6, v = 179 n_start has 509 digits --- performed 5000 steps in the continued fraction search [199,577]-exponents: u = 101, v = 75 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,577) = 0.7093328790270824551 D2(199,577) = 0.1394782641264340780 C1(199,577) = 0.9294303719640059762 C2(199,577) = 1.392467579699301626 C3(199,577) = 4.706019971594276562 C4(199,577) = 4616 Sum = 5014.345139268738485 Averaged sum = 0.5014846623931131597 logp*logq = 33.65399714414462542 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,577) = 0.7093328790270824551 D2(199,577) = 0.1394782641264340780 C1(199,577) = 0.9294303719640059762 C2(199,577) = 1.392467579699301626 C3(199,577) = 4.706019971594276562 C4(199,577) = 4616 Sum = 5014.345139268738485 Averaged sum = 0.5014846623931131597 logp*logq = 33.65399714414462542 -------------- ************************************* p = 199; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 452111359745359.2373 -------------- Searches starting with [199,587]-exponents: u = 6, v = 44 n_start has 136 digits starting right neighbors generation We generated 1177 left neighbors We generated 8833 right neighbors We generated 10009 non-negative rho_i D1(199,587) = 0.6013010618801395933 D2(199,587) = 0.02927983725188407117 C1(199,587) = 0.7975502415059926750 C2(199,587) = 1.669705800536734954 C3(199,587) = 3.777535612851370882 C4(199,587) = 4696 Sum = 4225.431619149163995 Averaged sum = 0.4221632150213971420 logp*logq = 33.74494963653445079 -------------- ************************************* p = 199; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 477115787771135.8868 -------------- Searches starting with [199,593]-exponents: u = 6, v = 29 n_start has 95 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(199,593) = 0.6204774874826499980 D2(199,593) = 0.04249592919931386197 C1(199,593) = 0.8592371490546520180 C2(199,593) = 1.751973279290777745 C3(199,593) = 4.186518763401188161 C4(199,593) = 4744 Sum = 4331.944203902980006 Averaged sum = 0.4328048959839124793 logp*logq = 33.79878031901846569 -------------- ************************************* p = 199; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 503230319400249.8259 -------------- Searches starting with [199,599]-exponents: u = 6, v = 24 n_start has 81 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(199,599) = 0.8916876745255126147 D2(199,599) = 0.01041001048187903452 C1(199,599) = 1.148601817262302597 C2(199,599) = 1.814735216602113621 C3(199,599) = 6.780692307943900634 C4(199,599) = 4792 Sum = 3024.810119456218080 Averaged sum = 0.3022090238241800460 logp*logq = 33.85206907267977574 -------------- ************************************* p = 199; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 512188295717813.7516 -------------- Searches starting with [199,601]-exponents: u = 6, v = 19 n_start has 67 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(199,601) = 0.7461560934461449866 D2(199,601) = 0.02371539717455637119 C1(199,601) = 1.010687872954108685 C2(199,601) = 1.828598398703572977 C3(199,601) = 5.388427024345584553 C4(199,601) = 4808 Sum = 4441.245749713161137 Averaged sum = 0.4437252222712719689 logp*logq = 33.86971343843291185 -------------- ************************************* p = 199; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 539841324669065.6721 -------------- Searches starting with [199,607]-exponents: u = 6, v = 14 n_start has 53 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(199,607) = 0.8590047116270221609 D2(199,607) = 0.06623976454738665909 C1(199,607) = 1.315545882581547128 C2(199,607) = 1.872784881750778581 C3(199,607) = 8.955626012990555796 C4(199,607) = 4856 Sum = 3633.518939252450201 Averaged sum = 0.3630251712711010291 logp*logq = 33.92229636910106060 -------------- ************************************* p = 199; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 568693125591600.2670 -------------- Searches starting with [199,613]-exponents: u = 6, v = 14 n_start has 53 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(199,613) = 0.6367127008143080965 D2(199,613) = 0.1138032664905351364 C1(199,613) = 0.8686498196990243029 C2(199,613) = 1.921993854699709946 C3(199,613) = 4.252704874632743170 C4(199,613) = 4904 Sum = 4393.377660389342337 Averaged sum = 0.4389427175931004433 logp*logq = 33.97436208223365534 -------------- ************************************* p = 199; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 588613096927391.9856 -------------- Searches starting with [199,617]-exponents: u = 6, v = 14 n_start has 53 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(199,617) = 0.7224982459594022152 D2(199,617) = 0.1203646961574493969 C1(199,617) = 1.147521509001786245 C2(199,617) = 1.366558593639146920 C3(199,617) = 6.768496199552650149 C4(199,617) = 4936 Sum = 4221.531769476777324 Averaged sum = 0.4217735807250252097 logp*logq = 34.00879020246132939 -------------- ************************************* p = 199; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 598783165132917.7871 -------------- Searches starting with [199,619]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(199,619) = 1.092829534833019444 D2(199,619) = 0.1018884709867967726 C1(199,619) = 1.735611305369592089 C2(199,619) = 1.195552534439799898 C3(199,619) = 18.03468649594647570 C4(199,619) = 4952 Sum = 3511.463694370550161 Averaged sum = 0.3508306218773653873 logp*logq = 34.02592065373832137 -------------- ************************************* p = 199; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 662840317483047.9571 -------------- Searches starting with [199,631]-exponents: u = 6, v = 9 n_start has 39 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(199,631) = 0.5852715658132673505 D2(199,631) = 0.007332128439275910774 C1(199,631) = 0.7994454662528842979 C2(199,631) = 1.964226614132061387 C3(199,631) = 3.789485001466726400 C4(199,631) = 5048 Sum = 4311.722381544712963 Averaged sum = 0.4307845320756032533 logp*logq = 34.12755522866390857 -------------- ************************************* p = 199; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 720369223313935.6213 -------------- Searches starting with [199,641]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(199,641) = 0.6888546225019111319 D2(199,641) = 0.03767374536414433414 C1(199,641) = 1.167784244444732904 C2(199,641) = 1.997452474079125452 C3(199,641) = 7.000948391394866476 C4(199,641) = 5128 Sum = 4012.623756581145504 Averaged sum = 0.4009015642502892900 logp*logq = 34.21078500665469860 -------------- ************************************* p = 199; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 732346637408742.5154 -------------- Searches starting with [199,643]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(199,643) = 0.8505756285897504148 D2(199,643) = 0.03722389137979037247 C1(199,643) = 1.441823717372094405 C2(199,643) = 1.253388931300280608 C3(199,643) = 11.05316404439420231 C4(199,643) = 5144 Sum = 4204.660433897705474 Averaged sum = 0.4200879642219707737 logp*logq = 34.22727506617381311 -------------- ************************************* p = 199; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 756786176646825.9190 -------------- Searches starting with [199,647]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(199,647) = 0.9069063455990444332 D2(199,647) = 0.03409174447998684119 C1(199,647) = 1.537170540267837809 C2(199,647) = 1.213184940063586250 C3(199,647) = 12.95661865429624895 C4(199,647) = 5176 Sum = 4123.573112993704359 Averaged sum = 0.4119865234282849794 logp*logq = 34.26010186796930730 -------------- ************************************* p = 199; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 794682269922780.6640 -------------- Searches starting with [199,653]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(199,653) = 1.197259296118868931 D2(199,653) = 0.02155831084347604006 C1(199,653) = 1.684557233806180257 C2(199,653) = 2.020909063592118122 C3(199,653) = 16.56377765319447104 C4(199,653) = 5224 Sum = 4237.005039899593614 Averaged sum = 0.4233195164251767024 logp*logq = 34.30896349022285751 -------------- ************************************* p = 199; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 834103157874227.3902 -------------- Searches starting with [199,659]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(199,659) = 0.7241009715277753443 D2(199,659) = 0.08078422291842559272 C1(199,659) = 0.9844555338023934100 C2(199,659) = 1.715373965577551402 C3(199,659) = 5.157947958283659673 C4(199,659) = 5272 Sum = 4444.264603987505305 Averaged sum = 0.4440268362461290144 logp*logq = 34.35737820113493175 -------------- ************************************* p = 199; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 847590327869037.7623 -------------- Searches starting with [199,661]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(199,661) = 0.7275155081210260045 D2(199,661) = 0.08667665741144960937 C1(199,661) = 0.9811952161805821973 C2(199,661) = 1.721739518710254951 C3(199,661) = 5.130000133098358072 C4(199,661) = 5288 Sum = 4370.962321147035610 Averaged sum = 0.4367031992353917084 logp*logq = 34.37341853106012974 -------------- ************************************* p = 199; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 932278747116033.3809 -------------- Searches starting with [199,673]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(199,673) = 0.7196095282860410379 D2(199,673) = 0.1138519723882262600 C1(199,673) = 1.152199263854258287 C2(199,673) = 1.378203834341916865 C3(199,673) = 6.821464234555738792 C4(199,673) = 5384 Sum = 4163.164911920295473 Averaged sum = 0.4159421432630927638 logp*logq = 34.46865297078561787 -------------- ************************************* p = 199; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 961985789710810.2444 -------------- Searches starting with [199,677]-exponents: u = 16, v = 4 n_start has 49 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(199,677) = 0.7394486796850523594 D2(199,677) = 0.1054078413754161768 C1(199,677) = 1.183888529193625966 C2(199,677) = 1.360001708439910526 C3(199,677) = 7.191375734617068414 C4(199,677) = 5416 Sum = 4223.515336699451221 Averaged sum = 0.4219717590867670317 logp*logq = 34.50002079487476903 -------------- ************************************* p = 199; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1007982021619296.133 -------------- Searches starting with [199,683]-exponents: u = 16, v = 4 n_start has 49 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(199,683) = 0.5936774430610508466 D2(199,683) = 0.08754920131171833958 C1(199,683) = 0.7979089835532019755 C2(199,683) = 1.960478076813628059 C3(199,683) = 3.779794586048621811 C4(199,683) = 5464 Sum = 4264.247792002395090 Averaged sum = 0.4260413419924463073 logp*logq = 34.54672672870566151 -------------- ************************************* p = 199; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1072069270926014.517 -------------- Searches starting with [199,691]-exponents: u = 16, v = 4 n_start has 49 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(199,691) = 0.9556915263399190513 D2(199,691) = 0.03455294919846641150 C1(199,691) = 1.478813678161263730 C2(199,691) = 1.909872118904815087 C3(199,691) = 11.75593687538408648 C4(199,691) = 5528 Sum = 3761.838970519830954 Averaged sum = 0.3758456359796014541 logp*logq = 34.60836707387274950 -------------- ************************************* p = 199; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1156785708000626.423 -------------- Searches starting with [199,701]-exponents: u = 21, v = 4 n_start has 60 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(199,701) = 1.007855974132683673 D2(199,701) = 0.09499750289900240772 C1(199,701) = 1.305732644058737079 C2(199,701) = 1.881228281317524246 C3(199,701) = 8.810363853065037641 C4(199,701) = 5608 Sum = 3676.257094744878556 Averaged sum = 0.3672951438450273310 logp*logq = 34.68442161248548492 -------------- ************************************* p = 199; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1228399045400680.620 -------------- Searches starting with [199,709]-exponents: u = 31, v = 4 n_start has 83 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(199,709) = 1.085194938593047470 D2(199,709) = 0.02381993848259992800 C1(199,709) = 1.611817539121515980 C2(199,709) = 1.812298553519072696 C3(199,709) = 14.67289190064866974 C4(199,709) = 5672 Sum = 2981.645956489277297 Averaged sum = 0.2978964888089996300 logp*logq = 34.74448812738703390 -------------- ************************************* p = 199; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1322929857921041.736 -------------- Searches starting with [199,719]-exponents: u = 41, v = 4 n_start has 106 digits starting right neighbors generation We generated 642 left neighbors We generated 9368 right neighbors We generated 10009 non-negative rho_i D1(199,719) = 0.5767981150239115731 D2(199,719) = 0.01167746893382629421 C1(199,719) = 0.8356327458939335326 C2(199,719) = 1.734758367577880205 C3(199,719) = 4.025037216965725064 C4(199,719) = 5752 Sum = 4109.807640068193913 Averaged sum = 0.4106112139142965245 logp*logq = 34.81862526119361661 -------------- ************************************* p = 199; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1402729411601485.327 -------------- Searches starting with [199,727]-exponents: u = 56, v = 4 n_start has 141 digits starting right neighbors generation We generated 1059 left neighbors We generated 8951 right neighbors We generated 10009 non-negative rho_i D1(199,727) = 0.5813311982866611121 D2(199,727) = 0.02423910684988373970 C1(199,727) = 0.8169940210737257746 C2(199,727) = 1.652661807484278973 C3(199,727) = 3.901939701483381567 C4(199,727) = 5816 Sum = 4312.017141613113665 Averaged sum = 0.4308139815778912643 logp*logq = 34.87719631328313281 -------------- ************************************* p = 199; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1465104803735625.597 -------------- Searches starting with [199,733]-exponents: u = 81, v = 4 n_start has 198 digits starting right neighbors generation We generated 2234 left neighbors We generated 7776 right neighbors We generated 10009 non-negative rho_i D1(199,733) = 0.6281871647418783645 D2(199,733) = 0.004653513253163576125 C1(199,733) = 0.8632045133353918971 C2(199,733) = 1.567180079683994887 C3(199,733) = 4.214289152348220658 C4(199,733) = 5864 Sum = 4555.115479901495458 Averaged sum = 0.4551019562295429571 logp*logq = 34.92070317320706014 -------------- ************************************* p = 199; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1529711199035893.359 -------------- Searches starting with [199,739]-exponents: u = 141, v = 4 n_start has 336 digits --- performed 5000 steps in the continued fraction search [199,739]-exponents: u = 25, v = 53 --- starting right neighbors generation We generated 6422 left neighbors We generated 3588 right neighbors We generated 10009 non-negative rho_i D1(199,739) = 0.8921374959473723426 D2(199,739) = 0.005282994923624507393 C1(199,739) = 1.190455004730798048 C2(199,739) = 1.444908132970067656 C3(199,739) = 7.270500612312700935 C4(199,739) = 5912 Sum = 4778.805884579185099 Averaged sum = 0.4774508826635213407 logp*logq = 34.96385535369777522 -------------- ************************************* p = 199; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1574051507451893.878 -------------- Searches starting with [199,743]-exponents: u = 276, v = 4 n_start has 646 digits **************************************************** Computing .... elapsed time = 26 minutes **************************************************** --- performed 5000 steps in the continued fraction search [199,743]-exponents: u = 145, v = 90 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,743) = 0.6097021780221691666 D2(199,743) = 0.1773419373815268384 C1(199,743) = 0.7904782147553565327 C2(199,743) = 1.397750227560812564 C3(199,743) = 3.733278174425936489 C4(199,743) = 5944 Sum = 5128.182053974839214 Averaged sum = 0.5128694923467185932 logp*logq = 34.99242926829163332 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,743) = 0.6097021780221691666 D2(199,743) = 0.1773419373815268384 C1(199,743) = 0.7904782147553565327 C2(199,743) = 1.397750227560812564 C3(199,743) = 3.733278174425936489 C4(199,743) = 5944 Sum = 5128.182053974839214 Averaged sum = 0.5128694923467185932 logp*logq = 34.99242926829163332 -------------- ************************************* p = 199; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1665860968581673.972 -------------- Searches starting with [199,751]-exponents: u = 5, v = 275 n_start has 803 digits --- performed 5000 steps in the continued fraction search [199,751]-exponents: u = 184, v = 117 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,751) = 0.6087485455330890405 D2(199,751) = 0.2336188461507736542 C1(199,751) = 0.7824359007732890312 C2(199,751) = 1.408051393744084187 C3(199,751) = 3.683578354752522024 C4(199,751) = 6008 Sum = 5263.183888010217111 Averaged sum = 0.5263710259036120723 logp*logq = 35.04911848294111659 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,751) = 0.6087485455330890405 D2(199,751) = 0.2336188461507736542 C1(199,751) = 0.7824359007732890312 C2(199,751) = 1.408051393744084187 C3(199,751) = 3.683578354752522024 C4(199,751) = 6008 Sum = 5263.183888010217111 Averaged sum = 0.5263710259036120723 logp*logq = 35.04911848294111659 -------------- ************************************* p = 199; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1737529191816288.724 -------------- Searches starting with [199,757]-exponents: u = 5, v = 103 n_start has 309 digits --- performed 5000 steps in the continued fraction search [199,757]-exponents: u = 57, v = 10 --- starting right neighbors generation We generated 5453 left neighbors We generated 4557 right neighbors We generated 10009 non-negative rho_i D1(199,757) = 0.6779779512011511619 D2(199,757) = 0.006517918187889455210 C1(199,757) = 0.9104592535120592960 C2(199,757) = 1.473151547372687682 C3(199,757) = 4.559569680468072700 C4(199,757) = 6056 Sum = 4525.906083993431392 Averaged sum = 0.4521836431205346580 logp*logq = 35.09124049427170545 -------------- ************************************* p = 199; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1786682178792041.856 -------------- Searches starting with [199,761]-exponents: u = 5, v = 71 n_start has 217 digits starting right neighbors generation We generated 2496 left neighbors We generated 7514 right neighbors We generated 10009 non-negative rho_i D1(199,761) = 0.5803945766361442200 D2(199,761) = 0.02619547058527389256 C1(199,761) = 0.7932784855476409748 C2(199,761) = 1.554120512510607065 C3(199,761) = 3.750740195099138438 C4(199,761) = 6088 Sum = 4523.843386762269585 Averaged sum = 0.4519775588732410415 logp*logq = 35.11913676344732138 -------------- ************************************* p = 199; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1888373156616326.107 -------------- Searches starting with [199,769]-exponents: u = 5, v = 43 n_start has 136 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(199,769) = 0.7383343285997016984 D2(199,769) = 0.009379906209328053235 C1(199,769) = 1.040083099534534908 C2(199,769) = 1.665650231618351528 C3(199,769) = 5.658953455444258381 C4(199,769) = 6152 Sum = 4649.655542538925407 Averaged sum = 0.4645474615385078836 logp*logq = 35.17449208961738002 -------------- ************************************* p = 199; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1940950455742508.190 -------------- Searches starting with [199,773]-exponents: u = 5, v = 39 n_start has 125 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(199,773) = 0.8095171538600430285 D2(199,773) = 0.003583540093820616367 C1(199,773) = 1.156148983353187386 C2(199,773) = 1.708320713667646646 C3(199,773) = 6.866511072373623165 C4(199,773) = 6184 Sum = 3302.401095517973181 Averaged sum = 0.3299431607071608733 logp*logq = 35.20195417365200765 -------------- ************************************* p = 199; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2134405950848124.577 -------------- Searches starting with [199,787]-exponents: u = 5, v = 23 n_start has 79 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(199,787) = 0.9301589850553534722 D2(199,787) = 0.06297926988347231543 C1(199,787) = 1.268990603809867326 C2(199,787) = 1.830118626416187002 C3(199,787) = 8.287101180660283528 C4(199,787) = 6296 Sum = 4764.310305294197266 Averaged sum = 0.4760026281640720617 logp*logq = 35.29696475971199152 -------------- ************************************* p = 199; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2281935324867010.808 -------------- Searches starting with [199,797]-exponents: u = 5, v = 19 n_start has 67 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(199,797) = 0.9856016528630559405 D2(199,797) = 0.03349912996365585325 C1(199,797) = 1.323031117146078840 C2(199,797) = 1.880741128944267760 C3(199,797) = 9.068035565333821008 C4(199,797) = 6376 Sum = 4417.555457587808934 Averaged sum = 0.4413583232678398375 logp*logq = 35.36380030452344416 -------------- ************************************* p = 199; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2469778123691431.355 -------------- Searches starting with [199,809]-exponents: u = 5, v = 15 n_start has 56 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(199,809) = 1.103378063823367117 D2(199,809) = 0.1176717720986890877 C1(199,809) = 1.471326553863547179 C2(199,809) = 1.967354227924549276 C3(199,809) = 11.61017088916584059 C4(199,809) = 6472 Sum = 4365.731791551778719 Averaged sum = 0.4361806166002376580 logp*logq = 35.44290471305074535 -------------- ************************************* p = 199; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2502269733120017.660 -------------- Searches starting with [199,811]-exponents: u = 5, v = 15 n_start has 56 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(199,811) = 0.6890780387529317738 D2(199,811) = 0.1337826947520001153 C1(199,811) = 0.9048038651546546906 C2(199,811) = 1.983868315114168625 C3(199,811) = 4.516800411632895141 C4(199,811) = 6488 Sum = 3745.337367922910232 Averaged sum = 0.3741969595287151795 logp*logq = 35.45597460814705254 -------------- ************************************* p = 199; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2669971923407239.073 -------------- Searches starting with [199,821]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(199,821) = 0.6277931189658371676 D2(199,821) = 0.01224954054729563766 C1(199,821) = 0.8336774053078571944 C2(199,821) = 1.974078006939739424 C3(199,821) = 4.011943126188403515 C4(199,821) = 6568 Sum = 3962.887801447334325 Averaged sum = 0.3959324409478803402 logp*logq = 35.52084435168974127 -------------- ************************************* p = 199; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2704581130721602.981 -------------- Searches starting with [199,823]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(199,823) = 0.6888800934689999694 D2(199,823) = 0.02013692269493596664 C1(199,823) = 0.9794217899900264160 C2(199,823) = 1.982387739408100955 C3(199,823) = 5.114861755953163680 C4(199,823) = 6584 Sum = 3757.695641417853395 Averaged sum = 0.3754316756337149960 logp*logq = 35.53372344520813142 -------------- ************************************* p = 199; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2774891393111620.333 -------------- Searches starting with [199,827]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(199,827) = 0.7977271725935551410 D2(199,827) = 0.03630232401027393462 C1(199,827) = 1.177935649432076933 C2(199,827) = 1.999394715222404304 C3(199,827) = 7.120389008275301163 C4(199,827) = 6616 Sum = 3711.328816845969100 Averaged sum = 0.3707991624384023478 logp*logq = 35.55938800372575245 -------------- ************************************* p = 199; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2810598290574602.466 -------------- Searches starting with [199,829]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(199,829) = 0.8829924741909452559 D2(199,829) = 0.04459552211550961521 C1(199,829) = 1.178251820748903685 C2(199,829) = 2.008107147680717366 C3(199,829) = 7.124141597363698395 C4(199,829) = 6632 Sum = 4260.650288394287439 Averaged sum = 0.4256819151158245018 logp*logq = 35.57217377038843366 -------------- ************************************* p = 199; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2994768756371918.088 -------------- Searches starting with [199,839]-exponents: u = 5, v = 11 n_start has 44 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(199,839) = 0.8026845333456329629 D2(199,839) = 0.08146011932734484349 C1(199,839) = 1.077059051293063676 C2(199,839) = 1.432097522495421074 C3(199,839) = 6.018615690576403944 C4(199,839) = 6712 Sum = 4500.699370318488946 Averaged sum = 0.4496652383173632676 logp*logq = 35.63564341360474592 -------------- ************************************* p = 199; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3268937729380808.873 -------------- Searches starting with [199,853]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(199,853) = 0.8581121906653252312 D2(199,853) = 0.07707836488715772096 C1(199,853) = 1.221812415094201654 C2(199,853) = 1.957761113545525830 C3(199,853) = 7.660524694116210722 C4(199,853) = 6824 Sum = 3808.730355214203890 Averaged sum = 0.3805305580192031062 logp*logq = 35.72324147364318715 -------------- ************************************* p = 199; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3350900524779921.589 -------------- Searches starting with [199,857]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(199,857) = 1.129186981608096950 D2(199,857) = 0.06749107786650563986 C1(199,857) = 1.650309976303153018 C2(199,857) = 1.949067542592730168 C3(199,857) = 15.64493382065346946 C4(199,857) = 6856 Sum = 4148.276556884736581 Averaged sum = 0.4144546465066177022 logp*logq = 35.74800551799096149 -------------- ************************************* p = 199; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3392502448793788.746 -------------- Searches starting with [199,859]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(199,859) = 0.7059632382893619664 D2(199,859) = 0.06280639147709873245 C1(199,859) = 0.9631277724658242904 C2(199,859) = 1.944828124558904006 C3(199,859) = 4.977846281862578467 C4(199,859) = 6872 Sum = 4271.472248809330465 Averaged sum = 0.4267631380566820326 logp*logq = 35.76034422946304182 -------------- ************************************* p = 199; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3476963330060985.803 -------------- Searches starting with [199,863]-exponents: u = 14, v = 7 n_start has 53 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(199,863) = 0.5866042930261342928 D2(199,863) = 0.05364228777708800836 C1(199,863) = 0.7962226604823695262 C2(199,863) = 1.936551403049082466 C3(199,863) = 3.769187665617710436 C4(199,863) = 6904 Sum = 4048.955628618143467 Averaged sum = 0.4045314845257411796 logp*logq = 35.78493570145024796 -------------- ************************************* p = 199; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3786116269107472.617 -------------- Searches starting with [199,877]-exponents: u = 32, v = 7 n_start has 95 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(199,877) = 0.7017253410074630119 D2(199,877) = 0.02073916237766898977 C1(199,877) = 1.039138566316398561 C2(199,877) = 1.685453582892392259 C3(199,877) = 5.650053209307347771 C4(199,877) = 7016 Sum = 3586.098600582240205 Averaged sum = 0.3582874013969667504 logp*logq = 35.87011715750293547 -------------- ************************************* p = 199; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3878423098808095.426 -------------- Searches starting with [199,881]-exponents: u = 32, v = 7 n_start has 95 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(199,881) = 0.6388685222214459586 D2(199,881) = 0.01356778468339734802 C1(199,881) = 0.9255681303028408830 C2(199,881) = 1.678998215179362562 C3(199,881) = 4.675828327588890707 C4(199,881) = 7048 Sum = 3913.915223324167668 Averaged sum = 0.3910395867043828222 logp*logq = 35.89420504810279119 -------------- ************************************* p = 199; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3925256176966662.620 -------------- Searches starting with [199,883]-exponents: u = 41, v = 7 n_start has 115 digits starting right neighbors generation We generated 618 left neighbors We generated 9392 right neighbors We generated 10009 non-negative rho_i D1(199,883) = 0.7235803642755586027 D2(199,883) = 0.009667673453006977227 C1(199,883) = 0.9575677590665055171 C2(199,883) = 1.612546306424032509 C3(199,883) = 4.931937336751661402 C4(199,883) = 7064 Sum = 4053.185035952075627 Averaged sum = 0.4049540449547482892 logp*logq = 35.90620801203217678 -------------- ************************************* p = 199; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4020298684229971.765 -------------- Searches starting with [199,887]-exponents: u = 50, v = 7 n_start has 136 digits starting right neighbors generation We generated 784 left neighbors We generated 9226 right neighbors We generated 10009 non-negative rho_i D1(199,887) = 0.8936403379683522335 D2(199,887) = 0.002920162398401567832 C1(199,887) = 1.211076264629355512 C2(199,887) = 1.557916846394167709 C3(199,887) = 7.524687630611003935 C4(199,887) = 7096 Sum = 4571.521584143434391 Averaged sum = 0.4567410914320545900 logp*logq = 35.93013259434123385 -------------- ************************************* p = 199; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4523940894737647.359 -------------- Searches starting with [199,907]-exponents: u = 9, v = 164 n_start has 506 digits --- performed 5000 steps in the continued fraction search [199,907]-exponents: u = 137, v = 39 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,907) = 0.5299769276742773484 D2(199,907) = 0.1721239265997022640 C1(199,907) = 0.6949999426762315383 C2(199,907) = 1.497400277332801665 C3(199,907) = 3.184125355113227960 C4(199,907) = 7256 Sum = 4906.895411090187557 Averaged sum = 0.4907386149705158072 logp*logq = 36.04815988825552835 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(199,907) = 0.5299769276742773484 D2(199,907) = 0.1721239265997022640 C1(199,907) = 0.6949999426762315383 C2(199,907) = 1.497400277332801665 C3(199,907) = 3.184125355113227960 C4(199,907) = 7256 Sum = 4906.895411090187557 Averaged sum = 0.4907386149705158072 logp*logq = 36.04815988825552835 -------------- ************************************* p = 199; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4630553472485950.296 -------------- Searches starting with [199,911]-exponents: u = 9, v = 80 n_start has 258 digits starting right neighbors generation We generated 4803 left neighbors We generated 5207 right neighbors We generated 10009 non-negative rho_i D1(199,911) = 0.6556137464399824614 D2(199,911) = 0.01033912212251775570 C1(199,911) = 0.8871583170605756810 C2(199,911) = 1.782124187733566101 C3(199,911) = 4.385916330875536707 C4(199,911) = 7288 Sum = 4473.337185600321660 Averaged sum = 0.4469314802278271216 logp*logq = 36.07145279635815827 -------------- ************************************* p = 199; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4849894523739577.197 -------------- Searches starting with [199,919]-exponents: u = 9, v = 38 n_start has 134 digits starting right neighbors generation We generated 1188 left neighbors We generated 8822 right neighbors We generated 10009 non-negative rho_i D1(199,919) = 0.6222991047989818618 D2(199,919) = 0.04790536205152963472 C1(199,919) = 0.8254014035513220109 C2(199,919) = 1.821105894357533759 C3(199,919) = 3.956992277071045762 C4(199,919) = 7352 Sum = 4159.607976569768705 Averaged sum = 0.4155867695643689384 logp*logq = 36.11773335194103141 -------------- ************************************* p = 199; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5135844887729848.431 -------------- Searches starting with [199,929]-exponents: u = 9, v = 24 n_start has 92 digits starting right neighbors generation We generated 439 left neighbors We generated 9571 right neighbors We generated 10009 non-negative rho_i D1(199,929) = 0.6012820126082252016 D2(199,929) = 0.008503016470393638683 C1(199,929) = 0.8179343345559053171 C2(199,929) = 1.692219799133564629 C3(199,929) = 3.908058750508521058 C4(199,929) = 7432 Sum = 4264.205066810500850 Averaged sum = 0.4260370733150665251 logp*logq = 36.17502075985510727 -------------- ************************************* p = 199; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5374319906707351.469 -------------- Searches starting with [199,937]-exponents: u = 9, v = 17 n_start has 72 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(199,937) = 0.9446108477401857798 D2(199,937) = 0.01959228438988342211 C1(199,937) = 1.341090492739543805 C2(199,937) = 1.796536402590695258 C3(199,937) = 9.345085319252132776 C4(199,937) = 7496 Sum = 4336.218363408184370 Averaged sum = 0.4332319276059730612 logp*logq = 36.22040843193426569 -------------- ************************************* p = 199; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5496880560240743.330 -------------- Searches starting with [199,941]-exponents: u = 9, v = 17 n_start has 72 digits starting right neighbors generation We generated 291 left neighbors We generated 9719 right neighbors We generated 10009 non-negative rho_i D1(199,941) = 0.6453273058903580274 D2(199,941) = 0.02498280233863840786 C1(199,941) = 0.8703478629188210158 C2(199,941) = 1.802685776983208748 C3(199,941) = 4.264755761132058179 C4(199,941) = 7528 Sum = 4061.580851708535589 Averaged sum = 0.4057928715864257757 logp*logq = 36.24295715538155362 -------------- ************************************* p = 199; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5684963804451726.370 -------------- Searches starting with [199,947]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(199,947) = 0.6683775454550586930 D2(199,947) = 0.03586487279092078254 C1(199,947) = 0.8998353416341253044 C2(199,947) = 1.959100377412357114 C3(199,947) = 4.479556784474833692 C4(199,947) = 7576 Sum = 4099.116621668725557 Averaged sum = 0.4095430734008118251 logp*logq = 36.27660115524185658 -------------- ************************************* p = 199; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5878233375089603.165 -------------- Searches starting with [199,953]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(199,953) = 0.7519285302849399740 D2(199,953) = 0.04485959961869552349 C1(199,953) = 1.010599121765916202 C2(199,953) = 1.969228577519671584 C3(199,953) = 5.387630141509708180 C4(199,953) = 7624 Sum = 4275.243635185584030 Averaged sum = 0.4271399375747411359 logp*logq = 36.31003266526482210 -------------- ************************************* p = 199; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6349980024718841.183 -------------- Searches starting with [199,967]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(199,967) = 0.6464609608797249088 D2(199,967) = 0.06645731979482427523 C1(199,967) = 0.8803932063648425030 C2(199,967) = 1.993443010780410372 C3(199,967) = 4.336748628990727818 C4(199,967) = 7736 Sum = 4385.178550138004630 Averaged sum = 0.4381235438243585403 logp*logq = 36.38722806209676946 -------------- ************************************* p = 199; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6490258015143333.055 -------------- Searches starting with [199,971]-exponents: u = 9, v = 10 n_start has 51 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(199,971) = 0.8276580545596766962 D2(199,971) = 0.05750851497622032971 C1(199,971) = 1.365476450931133797 C2(199,971) = 1.310347906790663576 C3(199,971) = 9.732671043326961462 C4(199,971) = 7768 Sum = 4137.837882841955039 Averaged sum = 0.4134117177382310959 logp*logq = 36.40907868063664841 -------------- ************************************* p = 199; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6705378838944991.100 -------------- Searches starting with [199,977]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(199,977) = 0.8103800741936983472 D2(199,977) = 0.05419467309230751722 C1(199,977) = 1.336882486759849637 C2(199,977) = 1.321672258960468827 C3(199,977) = 9.279783062257987389 C4(199,977) = 7816 Sum = 4067.140647302325103 Averaged sum = 0.4063483512141397845 logp*logq = 36.44168641100942956 -------------- ************************************* p = 199; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6926246986080914.329 -------------- Searches starting with [199,983]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(199,983) = 0.5719667964241665762 D2(199,983) = 0.04785418039462810358 C1(199,983) = 0.7619402422135938885 C2(199,983) = 2.111023154365490685 C3(199,983) = 3.559890608630478185 C4(199,983) = 7864 Sum = 3965.120482648034443 Averaged sum = 0.3961555083073268501 logp*logq = 36.47409450096558621 -------------- ************************************* p = 199; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7229880690689703.157 -------------- Searches starting with [199,991]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(199,991) = 0.7218474618513648633 D2(199,991) = 0.01968976151679135225 C1(199,991) = 0.9591605859644814904 C2(199,991) = 2.084623441276857748 C3(199,991) = 4.945045838330668873 C4(199,991) = 7928 Sum = 4160.271244663526467 Averaged sum = 0.4156530367332926833 logp*logq = 36.51699892896590525 -------------- ************************************* p = 199; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7464617340898815.905 -------------- Searches starting with [199,997]-exponents: u = 13, v = 3 n_start has 39 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(199,997) = 0.9053292137815985061 D2(199,997) = 0.1084059123590480424 C1(199,997) = 1.348902215810848096 C2(199,997) = 1.910223441086850229 C3(199,997) = 9.467532942511048582 C4(199,997) = 7976 Sum = 3776.035261217367181 Averaged sum = 0.3772639885320578660 logp*logq = 36.54895056415915256 -------------- ************************************* p = 211; q = 223; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3696532094067.064745 -------------- Searches starting with [211,223]-exponents: u = 1, v = 96 n_start has 228 digits starting right neighbors generation We generated 1195 left neighbors We generated 8815 right neighbors We generated 10009 non-negative rho_i D1(211,223) = 0.6855970403448267621 D2(211,223) = 0.01432606813228681768 C1(211,223) = 0.9364277213580333923 C2(211,223) = 1.235558103654542291 C3(211,223) = 4.810518572541122973 C4(211,223) = 1784 Sum = 4996.387251836203133 Averaged sum = 0.4991894546744133412 logp*logq = 28.93841622419102718 -------------- ************************************* p = 211; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4065520417661.738894 -------------- Searches starting with [211,227]-exponents: u = 1, v = 73 n_start has 175 digits starting right neighbors generation We generated 769 left neighbors We generated 9241 right neighbors We generated 10009 non-negative rho_i D1(211,227) = 0.6884115662829840758 D2(211,227) = 0.006617885730047867766 C1(211,227) = 0.9567120312772387629 C2(211,227) = 1.289443595163878563 C3(211,227) = 4.977016822239967382 C4(211,227) = 1816 Sum = 3999.650793359144935 Averaged sum = 0.3996054344449140708 logp*logq = 29.03356287475897403 -------------- ************************************* p = 211; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4260933142551.111240 -------------- Searches starting with [211,229]-exponents: u = 1, v = 65 n_start has 156 digits starting right neighbors generation We generated 624 left neighbors We generated 9386 right neighbors We generated 10009 non-negative rho_i D1(211,229) = 0.5910821411883161790 D2(211,229) = 0.002635506258617810028 C1(211,229) = 0.8277430876303484407 C2(211,229) = 1.312535864044794691 C3(211,229) = 4.008802318370185382 C4(211,229) = 1832 Sum = 4355.373337906729513 Averaged sum = 0.4351457026582804988 logp*logq = 29.08050929976962536 -------------- ************************************* p = 211; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4674692418200.182608 -------------- Searches starting with [211,233]-exponents: u = 1, v = 53 n_start has 128 digits starting right neighbors generation We generated 411 left neighbors We generated 9599 right neighbors We generated 10009 non-negative rho_i D1(211,233) = 0.9763265413352877658 D2(211,233) = 0.0009981770928952037136 C1(211,233) = 1.385010532097145760 C2(211,233) = 1.358831357136251594 C3(211,233) = 10.20907827242105899 C4(211,233) = 1864 Sum = 5696.128187004530710 Averaged sum = 0.5691006281351314527 logp*logq = 29.17318448360639419 -------------- ************************************* p = 211; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5356093513000.721540 -------------- Searches starting with [211,239]-exponents: u = 1, v = 42 n_start has 103 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(211,239) = 0.9308900130026582263 D2(211,239) = 0.02976654688977589481 C1(211,239) = 1.343532043681545537 C2(211,239) = 1.445248072684540710 C3(211,239) = 9.522900885965790820 C4(211,239) = 1912 Sum = 5363.654757983992244 Averaged sum = 0.5358831809355572228 logp*logq = 29.30925600308988403 -------------- ************************************* p = 211; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5600377258369.548931 -------------- Searches starting with [211,241]-exponents: u = 1, v = 40 n_start has 98 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(211,241) = 0.8034809816835994170 D2(211,241) = 0.05159523969529998004 C1(211,241) = 1.067446880147177001 C2(211,241) = 1.482725670671951601 C3(211,241) = 5.992940344555136784 C4(211,241) = 1928 Sum = 4282.335285918384170 Averaged sum = 0.4278484649733623908 logp*logq = 29.35385507896655007 -------------- ************************************* p = 211; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6961668255473.015984 -------------- Searches starting with [211,251]-exponents: u = 1, v = 30 n_start has 75 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(211,251) = 0.6816408669427166322 D2(211,251) = 0.01149299449015810304 C1(211,251) = 1.011560482447501208 C2(211,251) = 1.530891081539224373 C3(211,251) = 5.456654511108338101 C4(211,251) = 2008 Sum = 4342.608619940511566 Averaged sum = 0.4338703786532632197 logp*logq = 29.57144025343167457 -------------- ************************************* p = 211; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7899874413295.876879 -------------- Searches starting with [211,257]-exponents: u = 1, v = 27 n_start has 68 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(211,257) = 0.7185164472719952763 D2(211,257) = 0.03169528601934753152 C1(211,257) = 1.080239769841938531 C2(211,257) = 1.591181884347773102 C3(211,257) = 6.122934780853533755 C4(211,257) = 2056 Sum = 3874.616611313697733 Averaged sum = 0.3871132591980914910 logp*logq = 29.69786797822400974 -------------- ************************************* p = 211; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8938401429361.909880 -------------- Searches starting with [211,263]-exponents: u = 1, v = 24 n_start has 61 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(211,263) = 0.6051103274626996245 D2(211,263) = 0.08717618153141613544 C1(211,263) = 0.8394906267344090347 C2(211,263) = 1.678333464608081199 C3(211,263) = 4.088582609706390151 C4(211,263) = 2104 Sum = 4192.938194176112461 Averaged sum = 0.4189167943027387812 logp*logq = 29.82137787809202876 -------------- ************************************* p = 211; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10085315807022.68460 -------------- Searches starting with [211,269]-exponents: u = 1, v = 22 n_start has 56 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(211,269) = 0.9758003573387753755 D2(211,269) = 0.09454870794638364065 C1(211,269) = 1.497851651629269731 C2(211,269) = 1.721271555168230169 C3(211,269) = 12.33649557675863633 C4(211,269) = 2152 Sum = 2099.750601979782627 Averaged sum = 0.2097862525706646644 logp*logq = 29.94210160137320756 -------------- ************************************* p = 211; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10493164658707.67040 -------------- Searches starting with [211,271]-exponents: u = 1, v = 21 n_start has 54 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(211,271) = 0.6215069374475209141 D2(211,271) = 0.04343635443174782511 C1(211,271) = 0.8424549543507594292 C2(211,271) = 1.689161548178048010 C3(211,271) = 4.108963688613130466 C4(211,271) = 2168 Sum = 4510.622264662726994 Averaged sum = 0.4506566354943278044 logp*logq = 29.98174517622437855 -------------- ************************************* p = 211; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11797913778065.98949 -------------- Searches starting with [211,277]-exponents: u = 1, v = 19 n_start has 49 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(211,277) = 1.085917994826317599 D2(211,277) = 0.1205990838788067844 C1(211,277) = 1.527281482024476576 C2(211,277) = 1.788946850072949635 C3(211,277) = 12.96079298554315190 C4(211,277) = 2216 Sum = 5469.427315228937467 Averaged sum = 0.5464509256897729510 logp*logq = 30.09894383330049168 -------------- ************************************* p = 211; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12738809253251.91377 -------------- Searches starting with [211,281]-exponents: u = 1, v = 18 n_start has 47 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(211,281) = 0.7708933386427802159 D2(211,281) = 0.1053463010337237120 C1(211,281) = 1.088031341890729677 C2(211,281) = 1.796804762569265540 C3(211,281) = 6.203486329863805948 C4(211,281) = 2248 Sum = 4279.101682836828856 Averaged sum = 0.4275253954277978675 logp*logq = 30.17567429649656471 -------------- ************************************* p = 211; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13231624772916.75422 -------------- Searches starting with [211,283]-exponents: u = 1, v = 18 n_start has 47 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(211,283) = 0.6136362335464056002 D2(211,283) = 0.01753715771869979927 C1(211,283) = 0.8506036399623124079 C2(211,283) = 1.732868488084112760 C3(211,283) = 4.165514573750727872 C4(211,283) = 2264 Sum = 4106.405984359951750 Averaged sum = 0.4102713542171996953 logp*logq = 30.21363089625918793 -------------- ************************************* p = 211; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15934026613454.90606 -------------- Searches starting with [211,293]-exponents: u = 1, v = 16 n_start has 42 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(211,293) = 0.8352810147894267742 D2(211,293) = 0.1416143008138413895 C1(211,293) = 1.107172857521920710 C2(211,293) = 1.887296775300161904 C3(211,293) = 6.405905263040802433 C4(211,293) = 2344 Sum = 3973.091681080272105 Averaged sum = 0.3969519113877782102 logp*logq = 30.39947797711596067 -------------- ************************************* p = 211; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20455577448581.18166 -------------- Searches starting with [211,307]-exponents: u = 1, v = 14 n_start has 38 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(211,307) = 0.5863545285812533562 D2(211,307) = 0.1142183969283757505 C1(211,307) = 0.8256226295359674284 C2(211,307) = 1.925374248632862891 C3(211,307) = 3.994568541125117461 C4(211,307) = 2456 Sum = 4324.037501709178246 Averaged sum = 0.4320149367278627481 logp*logq = 30.64927669710363255 -------------- ************************************* p = 211; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21922998937987.11018 -------------- Searches starting with [211,311]-exponents: u = 1, v = 13 n_start has 35 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(211,311) = 0.8022071367424568212 D2(211,311) = 0.1502859544435711395 C1(211,311) = 1.114855149948403787 C2(211,311) = 1.724064019121909264 C3(211,311) = 6.488989880874027312 C4(211,311) = 2488 Sum = 4846.951072766730167 Averaged sum = 0.4842592739301358944 logp*logq = 30.71855738151471205 -------------- ************************************* p = 211; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22688159170948.92268 -------------- Searches starting with [211,313]-exponents: u = 1, v = 13 n_start has 35 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(211,313) = 1.331647037916824270 D2(211,313) = 0.03606559317303669311 C1(211,313) = 1.814625723083957967 C2(211,313) = 1.884593904232055701 C3(211,313) = 20.98761907974595503 C4(211,313) = 2504 Sum = 5178.895290331269074 Averaged sum = 0.5174238475703136252 logp*logq = 30.75286428189844247 -------------- ************************************* p = 211; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24283671809254.92213 -------------- Searches starting with [211,317]-exponents: u = 1, v = 13 n_start has 35 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(211,317) = 0.6684270029424113627 D2(211,317) = 0.1101249479653194866 C1(211,317) = 0.9124371012967714311 C2(211,317) = 1.364008266703145045 C3(211,317) = 4.620772839584981196 C4(211,317) = 2536 Sum = 4535.696336350364765 Averaged sum = 0.4531617880258132446 logp*logq = 30.82082529841487138 -------------- ************************************* p = 211; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30602854922404.39228 -------------- Searches starting with [211,331]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(211,331) = 0.6986749441773262028 D2(211,331) = 0.1111337927927868284 C1(211,331) = 0.9452229041154083651 C2(211,331) = 1.340162147046346604 C3(211,331) = 4.882016318577885355 C4(211,331) = 2648 Sum = 4548.426406490237369 Averaged sum = 0.4544336503636964101 logp*logq = 31.05211441865267519 -------------- ************************************* p = 211; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33691212692179.15956 -------------- Searches starting with [211,337]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(211,337) = 0.8612867931369066009 D2(211,337) = 0.01172307599225932945 C1(211,337) = 1.184796291338705886 C2(211,337) = 1.955551723868581036 C3(211,337) = 7.296751223863614803 C4(211,337) = 2696 Sum = 4506.235801484187482 Averaged sum = 0.4502183836031758899 logp*logq = 31.14825816831150614 -------------- ************************************* p = 211; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39398797005134.85005 -------------- Searches starting with [211,347]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(211,347) = 0.7425219763564698218 D2(211,347) = 0.09316694027917310279 C1(211,347) = 1.066031637862525488 C2(211,347) = 1.775073670649675021 C3(211,347) = 5.978730041825463275 C4(211,347) = 2776 Sum = 3709.590783944811876 Averaged sum = 0.3706255154305936533 logp*logq = 31.30475639890170123 -------------- ************************************* p = 211; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40629449995340.51875 -------------- Searches starting with [211,349]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(211,349) = 0.7943806316789104264 D2(211,349) = 0.09006127907167938909 C1(211,349) = 1.069013889326569616 C2(211,349) = 1.773021582945053410 C3(211,349) = 6.008713928798255849 C4(211,349) = 2792 Sum = 4404.102132776914186 Averaged sum = 0.4400142004972438990 logp*logq = 31.33551428892640666 -------------- ************************************* p = 211; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43184587870894.10402 -------------- Searches starting with [211,353]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(211,353) = 1.356941972657829158 D2(211,353) = 0.07706437208214863449 C1(211,353) = 1.919931103622566229 C2(211,353) = 1.623272665171287756 C3(211,353) = 25.04255444308008231 C4(211,353) = 2824 Sum = 5987.363304021189847 Averaged sum = 0.5981979522450983961 logp*logq = 31.39650478527600023 -------------- ************************************* p = 211; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47261010855211.59816 -------------- Searches starting with [211,359]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(211,359) = 0.8030914658790357361 D2(211,359) = 0.05233341335846970653 C1(211,359) = 1.365041014980674906 C2(211,359) = 1.227360852200884873 C3(211,359) = 9.872761565475056568 C4(211,359) = 2872 Sum = 4237.909749893723195 Averaged sum = 0.4234099060739058042 logp*logq = 31.48670677669283353 -------------- ************************************* p = 211; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53177624815497.06313 -------------- Searches starting with [211,367]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(211,367) = 1.074795671413379280 D2(211,367) = 0.06547108054249553059 C1(211,367) = 1.595008824254986988 C2(211,367) = 1.796497654352655207 C3(211,367) = 14.52015504773158656 C4(211,367) = 2936 Sum = 3892.724851729812051 Averaged sum = 0.3889224549635140425 logp*logq = 31.60465883763010706 -------------- ************************************* p = 211; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57999043107197.61339 -------------- Searches starting with [211,373]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(211,373) = 0.7165398645367264231 D2(211,373) = 0.05243695365627233860 C1(211,373) = 1.020736580753908206 C2(211,373) = 1.640063752925841640 C3(211,373) = 5.541295202017270648 C4(211,373) = 2984 Sum = 4301.666736150870835 Averaged sum = 0.4297798717305296069 logp*logq = 31.69144762818710626 -------------- ************************************* p = 211; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63170051239724.74001 -------------- Searches starting with [211,379]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(211,379) = 0.6536085760421685904 D2(211,379) = 0.01402854082911011264 C1(211,379) = 0.9108157074992580386 C2(211,379) = 2.090569942251766073 C3(211,379) = 4.608222350616264145 C4(211,379) = 3032 Sum = 3829.297808619073007 Averaged sum = 0.3825854539533492863 logp*logq = 31.77685143197900144 -------------- ************************************* p = 211; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66821061256330.48862 -------------- Searches starting with [211,383]-exponents: u = 1, v = 8 n_start has 23 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(211,383) = 1.075629773009420458 D2(211,383) = 0.03032137738154223178 C1(211,383) = 1.859231002667276713 C2(211,383) = 1.065174117260550683 C3(211,383) = 22.61821480745756407 C4(211,383) = 3064 Sum = 3833.341544081627295 Averaged sum = 0.3829894638906611345 logp*logq = 31.83303943504666742 -------------- ************************************* p = 211; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72617758462852.41216 -------------- Searches starting with [211,389]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(211,389) = 1.099648609900456437 D2(211,389) = 0.03780418971318184063 C1(211,389) = 1.603147373625015716 C2(211,389) = 1.825607409468702721 C3(211,389) = 14.71974289629881147 C4(211,389) = 3112 Sum = 5247.834608374153847 Averaged sum = 0.5243115804150418470 logp*logq = 31.91623061477424376 -------------- ************************************* p = 211; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80976333913159.46398 -------------- Searches starting with [211,397]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(211,397) = 0.8340910556645867708 D2(211,397) = 0.02558636621084154602 C1(211,397) = 1.116413730134010634 C2(211,397) = 1.661540293374973145 C3(211,397) = 6.505977091451262095 C4(211,397) = 3176 Sum = 4300.890018409340111 Averaged sum = 0.4297022697981157070 logp*logq = 32.02517805399826242 -------------- ************************************* p = 211; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85439634773150.27033 -------------- Searches starting with [211,401]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(211,401) = 1.159826264996638012 D2(211,401) = 0.02126727014713081577 C1(211,401) = 1.743690504735762033 C2(211,401) = 1.659086503642419145 C3(211,401) = 18.63316118882123809 C4(211,401) = 3208 Sum = 4797.549046609590253 Averaged sum = 0.4793235134988100962 logp*logq = 32.07883121647247480 -------------- ************************************* p = 211; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94966980200741.52624 -------------- Searches starting with [211,409]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(211,409) = 0.7321659779516844851 D2(211,409) = 0.01001589811505049824 C1(211,409) = 1.291430400199091452 C2(211,409) = 1.284726185684882912 C3(211,409) = 8.725955174414759252 C4(211,409) = 3272 Sum = 4474.764059635688300 Averaged sum = 0.4470740393281734738 logp*logq = 32.18455037027596092 -------------- ************************************* p = 211; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108073059550429.1290 -------------- Searches starting with [211,419]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(211,419) = 0.9774422326405109337 D2(211,419) = 0.003276914797555713935 C1(211,419) = 1.410722116519970706 C2(211,419) = 1.860793774735047716 C3(211,419) = 10.65902647403937331 C4(211,419) = 3352 Sum = 3724.424385618804784 Averaged sum = 0.3721075417742836231 logp*logq = 32.31382859166391259 -------------- ************************************* p = 211; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110862707082636.8665 -------------- Searches starting with [211,421]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(211,421) = 0.9593244360740164478 D2(211,421) = 0.001087009405038066786 C1(211,421) = 1.411941961645309946 C2(211,421) = 1.859539859090012871 C3(211,421) = 10.68085953491983434 C4(211,421) = 3368 Sum = 4655.104445996804898 Averaged sum = 0.4650918619239489357 logp*logq = 32.33931367855258437 -------------- ************************************* p = 211; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125703857671768.2307 -------------- Searches starting with [211,431]-exponents: u = 17, v = 7 n_start has 58 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(211,431) = 1.019107970745901460 D2(211,431) = 0.1101561840850745687 C1(211,431) = 1.622485180659550422 C2(211,431) = 1.150361678240911063 C3(211,431) = 15.20505185743897095 C4(211,431) = 3448 Sum = 2984.156814089136612 Averaged sum = 0.2981473487949981628 logp*logq = 32.46494992056671023 -------------- ************************************* p = 211; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128857348883679.5099 -------------- Searches starting with [211,433]-exponents: u = 17, v = 7 n_start has 58 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(211,433) = 1.052639301047751219 D2(211,433) = 0.1482218051634231674 C1(211,433) = 1.460363568790807039 C2(211,433) = 1.844597888814711026 C3(211,433) = 11.58461397846430550 C4(211,433) = 3464 Sum = 4544.591878034759494 Averaged sum = 0.4540505423153920965 logp*logq = 32.48972708581014197 -------------- ************************************* p = 211; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138705995956858.7657 -------------- Searches starting with [211,439]-exponents: u = 25, v = 7 n_start has 77 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(211,439) = 0.5672103151005996110 D2(211,439) = 0.08519072238807954581 C1(211,439) = 0.7704219272644393900 C2(211,439) = 1.784192008450929373 C3(211,439) = 3.641295398483794703 C4(211,439) = 3512 Sum = 4349.946243692856048 Averaged sum = 0.4346034812361730490 logp*logq = 32.56337767199670864 -------------- ************************************* p = 211; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145605341292564.1358 -------------- Searches starting with [211,443]-exponents: u = 33, v = 7 n_start has 96 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(211,443) = 0.6735265330030402404 D2(211,443) = 0.04923125320418072323 C1(211,443) = 0.9116348915010812324 C2(211,443) = 1.749962500429986766 C3(211,443) = 4.614559023594741199 C4(211,443) = 3544 Sum = 4421.970207124646982 Averaged sum = 0.4417994012513384935 logp*logq = 32.61192093571994335 -------------- ************************************* p = 211; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156475429422530.9915 -------------- Searches starting with [211,449]-exponents: u = 89, v = 7 n_start has 226 digits starting right neighbors generation We generated 4101 left neighbors We generated 5909 right neighbors We generated 10009 non-negative rho_i D1(211,449) = 0.6133978115249065482 D2(211,449) = 0.001537209011342104664 C1(211,449) = 0.9934688929780742971 C2(211,449) = 1.704833866683518664 C3(211,449) = 5.293545510503024229 C4(211,449) = 3592 Sum = 4221.380373867134483 Averaged sum = 0.4217584547774137758 logp*logq = 32.68392011308787863 -------------- ************************************* p = 211; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 171986417314653.1941 -------------- Searches starting with [211,457]-exponents: u = 8, v = 90 n_start has 258 digits starting right neighbors generation We generated 5278 left neighbors We generated 4732 right neighbors We generated 10009 non-negative rho_i D1(211,457) = 0.6191174783925093529 D2(211,457) = 0.01463011435248531416 C1(211,457) = 0.8431959239852472477 C2(211,457) = 1.643770566134689762 C3(211,457) = 4.114074038368800853 C4(211,457) = 3656 Sum = 4410.811167564436720 Averaged sum = 0.4406845007058084444 logp*logq = 32.77843662052292412 -------------- ************************************* p = 211; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180197790969674.1046 -------------- Searches starting with [211,461]-exponents: u = 8, v = 41 n_start has 128 digits starting right neighbors generation We generated 807 left neighbors We generated 9203 right neighbors We generated 10009 non-negative rho_i D1(211,461) = 0.6441832820586544040 D2(211,461) = 0.01099022626053076321 C1(211,461) = 0.8778254301531804119 C2(211,461) = 1.466379723164010162 C3(211,461) = 4.360134208716655401 C4(211,461) = 3688 Sum = 4450.432148456659715 Averaged sum = 0.4446430361131641238 logp*logq = 32.82507620225780238 -------------- ************************************* p = 211; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184421396881295.6851 -------------- Searches starting with [211,463]-exponents: u = 8, v = 34 n_start has 110 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(211,463) = 0.6822848061600129274 D2(211,463) = 0.02124366117912614969 C1(211,463) = 0.9067018455820812052 C2(211,463) = 1.521053964439748208 C3(211,463) = 4.576531529121899489 C4(211,463) = 3704 Sum = 4150.651285876168078 Averaged sum = 0.4146919058723317093 logp*logq = 32.84824445546750892 -------------- ************************************* p = 211; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 193110219762398.6179 -------------- Searches starting with [211,467]-exponents: u = 8, v = 20 n_start has 72 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(211,467) = 0.7436302731283978405 D2(211,467) = 0.04553222009760790293 C1(211,467) = 0.9935881637161617051 C2(211,467) = 1.678545835357948290 C3(211,467) = 5.294604695903939938 C4(211,467) = 3736 Sum = 4291.033015505513182 Averaged sum = 0.4287174558402950527 logp*logq = 32.89428222867720213 -------------- ************************************* p = 211; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 221195057132408.9224 -------------- Searches starting with [211,479]-exponents: u = 8, v = 13 n_start has 54 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(211,479) = 0.6981382441228541338 D2(211,479) = 0.1131275124891542891 C1(211,479) = 1.130676137164065953 C2(211,479) = 1.358572409920818982 C3(211,479) = 6.663505472928107982 C4(211,479) = 3832 Sum = 4165.887079408897086 Averaged sum = 0.4162141152371762499 logp*logq = 33.03006603963270532 -------------- ************************************* p = 211; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 241698374713080.6823 -------------- Searches starting with [211,487]-exponents: u = 15, v = 6 n_start has 51 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(211,487) = 0.9765333930249819866 D2(211,487) = 0.09119887886213319026 C1(211,487) = 1.430179789916139311 C2(211,487) = 1.864552480992918054 C3(211,487) = 11.01266796465840045 C4(211,487) = 3896 Sum = 4498.985667347356681 Averaged sum = 0.4494940221148323190 logp*logq = 33.11871167921769642 -------------- ************************************* p = 211; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 252514529097089.3376 -------------- Searches starting with [211,491]-exponents: u = 15, v = 6 n_start has 52 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(211,491) = 1.000435141768983356 D2(211,491) = 0.06138611903924628399 C1(211,491) = 1.543362872075849562 C2(211,491) = 1.836347209641888849 C3(211,491) = 13.31517689394868568 C4(211,491) = 3928 Sum = 3893.995792385915671 Averaged sum = 0.3890494347473189800 logp*logq = 33.16248990396711575 -------------- ************************************* p = 211; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 275328614944947.9720 -------------- Searches starting with [211,499]-exponents: u = 29, v = 6 n_start has 84 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(211,499) = 0.5690760555409253247 D2(211,499) = 0.008564231857287778188 C1(211,499) = 0.7977546730408707600 C2(211,499) = 1.786700765703959340 C3(211,499) = 3.812132113280613519 C4(211,499) = 3992 Sum = 4164.664994416685401 Averaged sum = 0.4160920166267045060 logp*logq = 33.24898646363075553 -------------- ************************************* p = 211; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287348274752117.9448 -------------- Searches starting with [211,503]-exponents: u = 43, v = 6 n_start has 117 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(211,503) = 0.6468662658825872826 D2(211,503) = 0.04402063617462701548 C1(211,503) = 0.8560437623452364619 C2(211,503) = 1.715298380826126359 C3(211,503) = 4.203700945381228345 C4(211,503) = 4024 Sum = 3816.114782284788875 Averaged sum = 0.3812683367254260041 logp*logq = 33.29171609686955726 -------------- ************************************* p = 211; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 306174895596423.0098 -------------- Searches starting with [211,509]-exponents: u = 85, v = 6 n_start has 214 digits starting right neighbors generation We generated 3383 left neighbors We generated 6627 right neighbors We generated 10009 non-negative rho_i D1(211,509) = 0.7874816200998634880 D2(211,509) = 0.006797979966648029717 C1(211,509) = 1.079613955193416632 C2(211,509) = 1.605676170578413056 C3(211,509) = 6.116510486874416821 C4(211,509) = 4072 Sum = 4754.321802768945950 Averaged sum = 0.4750046760684330052 logp*logq = 33.35517760884269344 -------------- ************************************* p = 211; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 346840710160306.3906 -------------- Searches starting with [211,521]-exponents: u = 7, v = 71 n_start has 210 digits starting right neighbors generation We generated 3262 left neighbors We generated 6748 right neighbors We generated 10009 non-negative rho_i D1(211,521) = 0.5917610445586476406 D2(211,521) = 0.001457747489665285256 C1(211,521) = 0.8123583535651962022 C2(211,521) = 1.624905198726208415 C3(211,521) = 3.906670575270773608 C4(211,521) = 4168 Sum = 4510.360450357077718 Averaged sum = 0.4506304776058624955 logp*logq = 33.47988674195099932 -------------- ************************************* p = 211; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 354026176276289.2532 -------------- Searches starting with [211,523]-exponents: u = 7, v = 53 n_start has 161 digits starting right neighbors generation We generated 1813 left neighbors We generated 8197 right neighbors We generated 10009 non-negative rho_i D1(211,523) = 0.5932580283176246971 D2(211,523) = 0.02781730578592969994 C1(211,523) = 0.7973857492231552414 C2(211,523) = 1.651853962380025698 C3(211,523) = 3.809773709047945484 C4(211,523) = 4184 Sum = 4437.949532490713228 Averaged sum = 0.4433958969418236815 logp*logq = 33.50039197061188188 -------------- ************************************* p = 211; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 424310729296379.0578 -------------- Searches starting with [211,541]-exponents: u = 7, v = 17 n_start has 63 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(211,541) = 0.8759214127213904944 D2(211,541) = 0.02061226809823743701 C1(211,541) = 1.179235246438734127 C2(211,541) = 1.734029081639169007 C3(211,541) = 7.229001134061216081 C4(211,541) = 4328 Sum = 4313.849246166452196 Averaged sum = 0.4309970272920823455 logp*logq = 33.68148715486962305 -------------- ************************************* p = 211; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 450111119451898.5899 -------------- Searches starting with [211,547]-exponents: u = 7, v = 11 n_start has 47 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(211,547) = 0.6178700856071686244 D2(211,547) = 0.04843131566176290464 C1(211,547) = 0.8279111898447120018 C2(211,547) = 1.888814343925809129 C3(211,547) = 4.009932887937626050 C4(211,547) = 4376 Sum = 4330.916209891346230 Averaged sum = 0.4327021890190175072 logp*logq = 33.74051560032552706 -------------- ************************************* p = 211; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 495938083762729.2557 -------------- Searches starting with [211,557]-exponents: u = 7, v = 11 n_start has 47 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(211,557) = 0.8578566751695510296 D2(211,557) = 0.07000830121447306142 C1(211,557) = 1.418965453862415342 C2(211,557) = 1.235960418623381656 C3(211,557) = 10.80744041963751436 C4(211,557) = 4456 Sum = 4110.597536761541758 Averaged sum = 0.4106901325568530080 logp*logq = 33.83747220373789280 -------------- ************************************* p = 211; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 525207264133708.9257 -------------- Searches starting with [211,563]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(211,563) = 0.7074443377228158791 D2(211,563) = 0.07610095333326833912 C1(211,563) = 0.9858368427188128531 C2(211,563) = 1.947733361576507369 C3(211,563) = 5.226207725044173405 C4(211,563) = 4504 Sum = 4553.000656375565053 Averaged sum = 0.4548906640399205767 logp*logq = 33.89481408943767987 -------------- ************************************* p = 211; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 555865847270667.2479 -------------- Searches starting with [211,569]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(211,569) = 0.7123639831379571336 D2(211,569) = 0.04343606379396643816 C1(211,569) = 1.057153831889913468 C2(211,569) = 1.917229564126611533 C3(211,569) = 5.890354349737599578 C4(211,569) = 4552 Sum = 3640.643663632777564 Averaged sum = 0.3637370030605232854 logp*logq = 33.95154809917868382 -------------- ************************************* p = 211; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 566402780876585.4893 -------------- Searches starting with [211,571]-exponents: u = 13, v = 5 n_start has 44 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(211,571) = 0.8832249456113490593 D2(211,571) = 0.03318828768817168046 C1(211,571) = 1.260039704111522305 C2(211,571) = 1.907697011224086547 C3(211,571) = 8.278367678335171548 C4(211,571) = 4568 Sum = 4641.413973102252764 Averaged sum = 0.4637240456691230656 logp*logq = 33.97032656803573975 -------------- ************************************* p = 211; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 598992291713443.1067 -------------- Searches starting with [211,577]-exponents: u = 19, v = 5 n_start has 58 digits starting right neighbors generation We generated 225 left neighbors We generated 9785 right neighbors We generated 10009 non-negative rho_i D1(211,577) = 1.109905657968415226 D2(211,577) = 0.004066903683227800605 C1(211,577) = 1.477662631316655024 C2(211,577) = 1.880706126940139493 C3(211,577) = 11.92570365768613512 C4(211,577) = 4616 Sum = 4384.469214148711758 Averaged sum = 0.4380526740082637384 logp*logq = 34.02626984536928184 -------------- ************************************* p = 211; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 656686881880869.3874 -------------- Searches starting with [211,587]-exponents: u = 25, v = 5 n_start has 72 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(211,587) = 1.110453167374672964 D2(211,587) = 0.06405319564009561095 C1(211,587) = 1.534334007089556383 C2(211,587) = 1.824426378877092836 C3(211,587) = 13.11503249169263431 C4(211,587) = 4696 Sum = 5360.800416221405424 Averaged sum = 0.5355980034190633854 logp*logq = 34.11822843310879337 -------------- ************************************* p = 211; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 693418326056911.4302 -------------- Searches starting with [211,593]-exponents: u = 31, v = 5 n_start has 86 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(211,593) = 0.5936586840659141734 D2(211,593) = 0.01275608189347765850 C1(211,593) = 0.8296646728095767156 C2(211,593) = 1.775124255137069011 C3(211,593) = 4.021744944138974733 C4(211,593) = 4744 Sum = 4200.560680853714637 Averaged sum = 0.4196783575635642558 logp*logq = 34.17265457810180113 -------------- ************************************* p = 211; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 731803242662497.9622 -------------- Searches starting with [211,599]-exponents: u = 43, v = 5 n_start has 114 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(211,599) = 0.5971322860869156672 D2(211,599) = 0.02216483943979886928 C1(211,599) = 0.8545158378784496751 C2(211,599) = 1.704615260860954777 C3(211,599) = 4.192940623835677995 C4(211,599) = 4792 Sum = 4266.878760904847181 Averaged sum = 0.4263042023084071517 logp*logq = 34.22653279958131485 -------------- ************************************* p = 211; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 744975422038091.3346 -------------- Searches starting with [211,601]-exponents: u = 49, v = 5 n_start has 128 digits starting right neighbors generation We generated 1075 left neighbors We generated 8935 right neighbors We generated 10009 non-negative rho_i D1(211,601) = 0.7170352228105236510 D2(211,601) = 0.0003705226812136833114 C1(211,601) = 1.017185823377867214 C2(211,601) = 1.683453775150759654 C3(211,601) = 5.508388259085772487 C4(211,601) = 4808 Sum = 4543.152732134117015 Averaged sum = 0.4539067571319929078 logp*logq = 34.24437234321100993 -------------- ************************************* p = 211; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 785653470602894.1680 -------------- Searches starting with [211,607]-exponents: u = 91, v = 5 n_start has 226 digits starting right neighbors generation We generated 3282 left neighbors We generated 6728 right neighbors We generated 10009 non-negative rho_i D1(211,607) = 0.5692194246944350919 D2(211,607) = 0.01763156162640877445 C1(211,607) = 0.7808938521753867337 C2(211,607) = 1.554442003259130722 C3(211,607) = 3.705823727768292747 C4(211,607) = 4856 Sum = 4150.145435135781117 Averaged sum = 0.4146413662839225813 logp*logq = 34.29753693404731931 -------------- ************************************* p = 211; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 828119502017430.8554 -------------- Searches starting with [211,613]-exponents: u = 331, v = 5 n_start has 784 digits --- performed 5000 steps in the continued fraction search [211,613]-exponents: u = 15, v = 253 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,613) = 0.7491032631823728996 D2(211,613) = 0.2788915502962365648 C1(211,613) = 0.9656756518398345714 C2(211,613) = 1.427695511237853154 C3(211,613) = 5.052416530591675812 C4(211,613) = 4904 Sum = 5269.050584132159828 Averaged sum = 0.5269577541886348462 logp*logq = 34.35017858600780545 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,613) = 0.7491032631823728996 D2(211,613) = 0.2788915502962365648 C1(211,613) = 0.9656756518398345714 C2(211,613) = 1.427695511237853154 C3(211,613) = 5.052416530591675812 C4(211,613) = 4904 Sum = 5269.050584132159828 Averaged sum = 0.5269577541886348462 logp*logq = 34.35017858600780545 -------------- ************************************* p = 211; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 857453050706016.1154 -------------- Searches starting with [211,617]-exponents: u = 6, v = 404 n_start has 1142 digits --- performed 5000 steps in the continued fraction search [211,617]-exponents: u = 230, v = 207 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,617) = 0.6986500887409835701 D2(211,617) = 0.3623631651989579037 C1(211,617) = 0.8881582314252386427 C2(211,617) = 1.448224233763398892 C3(211,617) = 4.436365820077683114 C4(211,617) = 4936 Sum = 5496.689790224632963 Averaged sum = 0.5497239514176050567 logp*logq = 34.38498754210648608 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,617) = 0.6986500887409835701 D2(211,617) = 0.3623631651989579037 C1(211,617) = 0.8881582314252386427 C2(211,617) = 1.448224233763398892 C3(211,617) = 4.436365820077683114 C4(211,617) = 4936 Sum = 5496.689790224632963 Averaged sum = 0.5497239514176050567 logp*logq = 34.38498754210648608 -------------- ************************************* p = 211; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 872433445143196.1081 -------------- Searches starting with [211,619]-exponents: u = 6, v = 179 n_start has 514 digits --- performed 5000 steps in the continued fraction search [211,619]-exponents: u = 101, v = 75 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,619) = 0.5636021859484148729 D2(211,619) = 0.1331025220321706990 C1(211,619) = 0.7396359923811960155 C2(211,619) = 1.394467474526671544 C3(211,619) = 3.458025705880908640 C4(211,619) = 4952 Sum = 4999.280061702963762 Averaged sum = 0.4999780039706934455 logp*logq = 34.40230748645744395 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,619) = 0.5636021859484148729 D2(211,619) = 0.1331025220321706990 C1(211,619) = 0.7396359923811960155 C2(211,619) = 1.394467474526671544 C3(211,619) = 3.458025705880908640 C4(211,619) = 4952 Sum = 4999.280061702963762 Averaged sum = 0.4999780039706934455 logp*logq = 34.40230748645744395 -------------- ************************************* p = 211; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 966851778061959.2940 -------------- Searches starting with [211,631]-exponents: u = 6, v = 39 n_start has 124 digits starting right neighbors generation We generated 892 left neighbors We generated 9118 right neighbors We generated 10009 non-negative rho_i D1(211,631) = 0.6011993222870127426 D2(211,631) = 0.04053845110214661300 C1(211,631) = 0.8552053517873849413 C2(211,631) = 1.691391180548766796 C3(211,631) = 4.197793072031258235 C4(211,631) = 5048 Sum = 4274.823381690913666 Averaged sum = 0.4270979500140786957 logp*logq = 34.50506631944911799 -------------- ************************************* p = 211; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1051734147635592.614 -------------- Searches starting with [211,641]-exponents: u = 6, v = 24 n_start has 82 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(211,641) = 0.6549223304924347601 D2(211,641) = 0.08760913330021261454 C1(211,641) = 0.9190786894837935315 C2(211,641) = 1.808666880652648065 C3(211,641) = 4.672540198061855781 C4(211,641) = 5128 Sum = 4088.095641971066528 Averaged sum = 0.4084419664273220629 logp*logq = 34.58921676591629287 -------------- ************************************* p = 211; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1069416143999506.130 -------------- Searches starting with [211,643]-exponents: u = 6, v = 24 n_start has 82 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(211,643) = 0.8130412083498363959 D2(211,643) = 0.007721232243667941623 C1(211,643) = 1.218076539156542300 C2(211,643) = 1.822880144373878893 C3(211,643) = 7.715682586478132836 C4(211,643) = 5144 Sum = 2766.798974688976910 Averaged sum = 0.2764311094703743540 logp*logq = 34.60588923464446040 -------------- ************************************* p = 211; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1105505574688256.646 -------------- Searches starting with [211,647]-exponents: u = 6, v = 19 n_start has 68 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(211,647) = 0.7537482000988398273 D2(211,647) = 0.03260744455473926377 C1(211,647) = 1.073741181191277192 C2(211,647) = 1.848803077364779516 C3(211,647) = 6.056551045138043053 C4(211,647) = 5176 Sum = 4040.633683792669319 Averaged sum = 0.4037000383447566509 logp*logq = 34.63907915889832508 -------------- ************************************* p = 211; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1161491415305673.531 -------------- Searches starting with [211,653]-exponents: u = 6, v = 14 n_start has 54 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(211,653) = 0.7131795539367671498 D2(211,653) = 0.07284694312568108601 C1(211,653) = 0.9681858535035929602 C2(211,653) = 1.890585485527918199 C3(211,653) = 5.073735706388067307 C4(211,653) = 5224 Sum = 4218.671280063997029 Averaged sum = 0.4214877889963030302 logp*logq = 34.68848127707052169 -------------- ************************************* p = 211; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1219761253035166.500 -------------- Searches starting with [211,659]-exponents: u = 6, v = 14 n_start has 54 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(211,659) = 0.8413199995473579829 D2(211,659) = 0.1176626795683641487 C1(211,659) = 1.190379889323394982 C2(211,659) = 1.936929765682041888 C3(211,659) = 7.365414906150220037 C4(211,659) = 5272 Sum = 4033.076516503794682 Averaged sum = 0.4029450011493450576 logp*logq = 34.73743154027176538 -------------- ************************************* p = 211; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1239704332547126.712 -------------- Searches starting with [211,661]-exponents: u = 6, v = 14 n_start has 54 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(211,661) = 0.7077832734856438215 D2(211,661) = 0.1331729977301330923 C1(211,661) = 0.9709851473080151022 C2(211,661) = 1.485679517402767444 C3(211,661) = 5.097616258024055719 C4(211,661) = 5288 Sum = 4069.253314623632623 Averaged sum = 0.4065594279771837969 logp*logq = 34.75364930460168540 -------------- ************************************* p = 211; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1365008711507372.575 -------------- Searches starting with [211,673]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(211,673) = 0.6618353378032075504 D2(211,673) = 0.1160921602130520162 C1(211,673) = 0.9205935452534353944 C2(211,673) = 1.860407236131166126 C3(211,673) = 4.684428620286723314 C4(211,673) = 5384 Sum = 4131.402141563948113 Averaged sum = 0.4127687223063191241 logp*logq = 34.84993720558392628 -------------- ************************************* p = 211; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1408993498088179.733 -------------- Searches starting with [211,677]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(211,677) = 0.7816079091939272404 D2(211,677) = 0.002084142584735924049 C1(211,677) = 1.054062839517794714 C2(211,677) = 1.970202194848872188 C3(211,677) = 5.859892103585420650 C4(211,677) = 5416 Sum = 4351.189955352043585 Averaged sum = 0.4347277405686925352 logp*logq = 34.88165201325886644 -------------- ************************************* p = 211; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1477125844023473.999 -------------- Searches starting with [211,683]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(211,683) = 0.8971803211038327955 D2(211,683) = 0.01861371496847446462 C1(211,683) = 1.281886416244791965 C2(211,683) = 1.988348488686404339 C3(211,683) = 8.587369327311540123 C4(211,683) = 5464 Sum = 4827.390153229450348 Averaged sum = 0.4823049408761564940 logp*logq = 34.92887459728367123 -------------- ************************************* p = 211; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1572112723856617.725 -------------- Searches starting with [211,691]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(211,691) = 0.8814041577755889798 D2(211,691) = 0.03366424331511396985 C1(211,691) = 1.498107803601259376 C2(211,691) = 1.233574779886964408 C3(211,691) = 12.34179746783252441 C4(211,691) = 5528 Sum = 4151.785994252234794 Averaged sum = 0.4148052746780132675 logp*logq = 34.99119679363478015 -------------- ************************************* p = 211; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1697771035201365.067 -------------- Searches starting with [211,701]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(211,701) = 0.5614921193689037013 D2(211,701) = 0.01987784175804514929 C1(211,701) = 0.7546887061982229438 C2(211,701) = 2.030642568808223187 C3(211,701) = 3.546452835450105374 C4(211,701) = 5608 Sum = 4070.573261005244248 Averaged sum = 0.4066913039269901337 logp*logq = 35.06809262989214570 -------------- ************************************* p = 211; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1804073550726672.153 -------------- Searches starting with [211,709]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(211,709) = 0.7337069774178394228 D2(211,709) = 0.08049808927549009422 C1(211,709) = 1.028541201441712482 C2(211,709) = 1.725538736083998222 C3(211,709) = 5.614317756765428761 C4(211,709) = 5672 Sum = 4168.683517144955844 Averaged sum = 0.4164935075576936601 logp*logq = 35.12882358663279554 -------------- ************************************* p = 211; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1944499102949768.470 -------------- Searches starting with [211,719]-exponents: u = 11, v = 4 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(211,719) = 0.6590357173671189058 D2(211,719) = 0.1168676664377264881 C1(211,719) = 0.9301588004809216290 C2(211,719) = 1.888644226913754547 C3(211,719) = 4.760197348209546537 C4(211,719) = 5752 Sum = 4263.885005590203335 Averaged sum = 0.4260050959726449530 logp*logq = 35.20378080819730547 -------------- ************************************* p = 211; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2063128179541265.559 -------------- Searches starting with [211,727]-exponents: u = 16, v = 4 n_start has 49 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(211,727) = 0.8144806798443142940 D2(211,727) = 0.09660761464347130011 C1(211,727) = 1.307249610233455867 C2(211,727) = 1.294992999553595295 C3(211,727) = 8.960605239069546070 C4(211,727) = 5816 Sum = 3921.474445132539320 Averaged sum = 0.3917948291670036288 logp*logq = 35.26299975966357454 -------------- ************************************* p = 211; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2155906936999365.506 -------------- Searches starting with [211,733]-exponents: u = 16, v = 4 n_start has 49 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(211,733) = 0.6256499033746990654 D2(211,733) = 0.09182666900293478788 C1(211,733) = 0.8899862755598142696 C2(211,733) = 1.975640228782144014 C3(211,733) = 4.449990554621062337 C4(211,733) = 5864 Sum = 4067.027564469469075 Averaged sum = 0.4063370530991576656 logp*logq = 35.30698788236874927 -------------- ************************************* p = 211; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2252050213563824.999 -------------- Searches starting with [211,739]-exponents: u = 16, v = 4 n_start has 49 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(211,739) = 0.6209164242676637096 D2(211,739) = 0.05363048364777342326 C1(211,739) = 0.8326158584920858377 C2(211,739) = 1.939113973350717650 C3(211,739) = 4.041703745787158068 C4(211,739) = 5912 Sum = 4076.626562610430547 Averaged sum = 0.4072960897802408379 logp*logq = 35.35061740225918577 -------------- ************************************* p = 211; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2318060859964403.224 -------------- Searches starting with [211,743]-exponents: u = 16, v = 4 n_start has 49 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(211,743) = 1.044439269364040173 D2(211,743) = 0.03028612316257838174 C1(211,743) = 1.619907190830233649 C2(211,743) = 1.916875299937440798 C3(211,743) = 15.13944059597832731 C4(211,743) = 5944 Sum = 4006.911988183924620 Averaged sum = 0.4003309010074857248 logp*logq = 35.37950739486080198 -------------- ************************************* p = 211; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2454804924320948.518 -------------- Searches starting with [211,751]-exponents: u = 21, v = 4 n_start has 61 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(211,751) = 0.6323154260689786299 D2(211,751) = 0.1175017856923380186 C1(211,751) = 0.8795355633219049198 C2(211,751) = 1.913931728808268833 C3(211,751) = 4.372659875075289902 C4(211,751) = 6008 Sum = 4314.809847310524168 Averaged sum = 0.4310930010301253041 logp*logq = 35.43682369243827972 -------------- ************************************* p = 211; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2561608170250496.930 -------------- Searches starting with [211,757]-exponents: u = 26, v = 4 n_start has 72 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(211,757) = 0.5408002640498975650 D2(211,757) = 0.06308570143678565650 C1(211,757) = 0.7341694366211254511 C2(211,757) = 1.861088790557530267 C3(211,757) = 3.426461105270365014 C4(211,757) = 6056 Sum = 4262.105683120402786 Averaged sum = 0.4258273237206916561 logp*logq = 35.47941164767656817 -------------- ************************************* p = 211; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2634886491914021.280 -------------- Searches starting with [211,761]-exponents: u = 26, v = 4 n_start has 72 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(211,761) = 0.6614583395325920528 D2(211,761) = 0.03117038704909564421 C1(211,761) = 0.8828991620205867528 C2(211,761) = 1.830215268210440636 C3(211,761) = 4.397401238600745717 C4(211,761) = 6088 Sum = 4139.919545543898938 Averaged sum = 0.4136196968272453729 logp*logq = 35.50761649890368948 -------------- ************************************* p = 211; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2786559715053409.483 -------------- Searches starting with [211,769]-exponents: u = 36, v = 4 n_start has 96 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(211,769) = 0.6182253359206310371 D2(211,769) = 0.04893155880629888736 C1(211,769) = 0.8254702476251723967 C2(211,769) = 1.781636682187335294 C3(211,769) = 3.993547611582928097 C4(211,769) = 6152 Sum = 3998.263955631297712 Averaged sum = 0.3994668753752920083 logp*logq = 35.56358415283714087 -------------- ************************************* p = 211; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2865015101428107.313 -------------- Searches starting with [211,773]-exponents: u = 41, v = 4 n_start has 107 digits starting right neighbors generation We generated 642 left neighbors We generated 9368 right neighbors We generated 10009 non-negative rho_i D1(211,773) = 0.7068588176054547670 D2(211,773) = 0.01104632178111337820 C1(211,773) = 0.9286078557638242467 C2(211,773) = 1.744746947660258160 C3(211,773) = 4.747829206690451344 C4(211,773) = 6184 Sum = 3843.429056154122951 Averaged sum = 0.3839973080381779350 logp*logq = 35.59135001606807143 -------------- ************************************* p = 211; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3153885523597848.391 -------------- Searches starting with [211,787]-exponents: u = 76, v = 4 n_start has 189 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(211,787) = 0.6436243716962688441 D2(211,787) = 0.02525746476751514604 C1(211,787) = 0.8929225013270779318 C2(211,787) = 1.597476362332877301 C3(211,787) = 4.471962397433677440 C4(211,787) = 6296 Sum = 3822.233695874455428 Averaged sum = 0.3818796778773559225 logp*logq = 35.68741158716754389 -------------- ************************************* p = 211; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3374374778485605.145 -------------- Searches starting with [211,797]-exponents: u = 186, v = 4 n_start has 444 digits --- performed 5000 steps in the continued fraction search [211,797]-exponents: u = 140, v = 11 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,797) = 0.9207737387457898013 D2(211,797) = 0.02677039900935537952 C1(211,797) = 1.216338432131646151 C2(211,797) = 1.402780143946489731 C3(211,797) = 7.693219682795376522 C4(211,797) = 6376 Sum = 4851.173071554276144 Averaged sum = 0.4851658237378013945 logp*logq = 35.75498645125504603 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,797) = 0.9207737387457898013 D2(211,797) = 0.02677039900935537952 C1(211,797) = 1.216338432131646151 C2(211,797) = 1.402780143946489731 C3(211,797) = 7.693219682795376522 C4(211,797) = 6376 Sum = 4851.173071554276144 Averaged sum = 0.4851658237378013945 logp*logq = 35.75498645125504603 -------------- ************************************* p = 211; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3655341415851922.064 -------------- Searches starting with [211,809]-exponents: u = 5, v = 223 n_start has 661 digits --- performed 5000 steps in the continued fraction search [211,809]-exponents: u = 88, v = 138 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,809) = 0.7176224570606783552 D2(211,809) = 0.1798186827797604129 C1(211,809) = 0.9313903194832850824 C2(211,809) = 1.408109414626761453 C3(211,809) = 4.770041146795850245 C4(211,809) = 6472 Sum = 5105.874529108061156 Averaged sum = 0.5106385167624823638 logp*logq = 35.83496589437972671 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,809) = 0.7176224570606783552 D2(211,809) = 0.1798186827797604129 C1(211,809) = 0.9313903194832850824 C2(211,809) = 1.408109414626761453 C3(211,809) = 4.770041146795850245 C4(211,809) = 6472 Sum = 5105.874529108061156 Averaged sum = 0.5106385167624823638 logp*logq = 35.83496589437972671 -------------- ************************************* p = 211; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3703965382303153.822 -------------- Searches starting with [211,811]-exponents: u = 5, v = 155 n_start has 463 digits --- performed 5000 steps in the continued fraction search [211,811]-exponents: u = 86, v = 62 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,811) = 0.5204897960219892789 D2(211,811) = 0.04089175220519407096 C1(211,811) = 0.7024234564695068446 C2(211,811) = 1.395773846875886141 C3(211,811) = 3.248768114386554738 C4(211,811) = 6488 Sum = 4890.824347307619844 Averaged sum = 0.4891313478655485393 logp*logq = 35.84818036562047777 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,811) = 0.5204897960219892789 D2(211,811) = 0.04089175220519407096 C1(211,811) = 0.7024234564695068446 C2(211,811) = 1.395773846875886141 C3(211,811) = 3.248768114386554738 C4(211,811) = 6488 Sum = 4890.824347307619844 Averaged sum = 0.4891313478655485393 logp*logq = 35.84818036562047777 -------------- ************************************* p = 211; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3955042267594747.588 -------------- Searches starting with [211,821]-exponents: u = 5, v = 63 n_start has 196 digits starting right neighbors generation We generated 1977 left neighbors We generated 8033 right neighbors We generated 10009 non-negative rho_i D1(211,821) = 0.6178530627023428907 D2(211,821) = 0.02958131126419104550 C1(211,821) = 0.8213207943189377144 C2(211,821) = 1.593110170391192089 C3(211,821) = 3.965847140181316708 C4(211,821) = 6568 Sum = 4032.068395129279456 Averaged sum = 0.4028442796612328360 logp*logq = 35.91376768320208238 -------------- ************************************* p = 211; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4006879854701035.644 -------------- Searches starting with [211,823]-exponents: u = 5, v = 55 n_start has 172 digits starting right neighbors generation We generated 1518 left neighbors We generated 8492 right neighbors We generated 10009 non-negative rho_i D1(211,823) = 0.6021261456077524474 D2(211,823) = 0.02722538281890463208 C1(211,823) = 0.8367956399332012877 C2(211,823) = 1.620036142953102711 C3(211,823) = 4.070141115051790397 C4(211,823) = 6584 Sum = 4452.493314554561896 Averaged sum = 0.4448489673848098607 logp*logq = 35.92678924226216972 -------------- ************************************* p = 211; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4112212896509409.148 -------------- Searches starting with [211,827]-exponents: u = 5, v = 47 n_start has 149 digits starting right neighbors generation We generated 1119 left neighbors We generated 8891 right neighbors We generated 10009 non-negative rho_i D1(211,827) = 0.6549477371067541072 D2(211,827) = 0.04349838913001042458 C1(211,827) = 0.9243891610357365228 C2(211,827) = 1.670536136917673623 C3(211,827) = 4.714349209904500369 C4(211,827) = 6616 Sum = 3451.169690353211899 Averaged sum = 0.3448066430565702766 logp*logq = 35.95273769616624873 -------------- ************************************* p = 211; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4165717380902770.931 -------------- Searches starting with [211,829]-exponents: u = 5, v = 43 n_start has 138 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(211,829) = 0.6110512030651155108 D2(211,829) = 0.02117365134640232311 C1(211,829) = 0.8680167615413642642 C2(211,829) = 1.688157063126424269 C3(211,829) = 4.288981740347099685 C4(211,829) = 6632 Sum = 3842.870328281080729 Averaged sum = 0.3839414854911660235 logp*logq = 35.96566489601062179 -------------- ************************************* p = 211; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4441802358931858.520 -------------- Searches starting with [211,839]-exponents: u = 5, v = 31 n_start has 103 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(211,839) = 0.8502452990148366185 D2(211,839) = 0.06855963917077093706 C1(211,839) = 1.103680754154258692 C2(211,839) = 1.785244228636361258 C3(211,839) = 6.368490396615913870 C4(211,839) = 6712 Sum = 3140.749276977587405 Averaged sum = 0.3137925144347674497 logp*logq = 36.02983662568117304 -------------- ************************************* p = 211; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4853146610295480.302 -------------- Searches starting with [211,853]-exponents: u = 5, v = 19 n_start has 68 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(211,853) = 0.7992438182256946959 D2(211,853) = 0.001470525160149238309 C1(211,853) = 1.197393154509611527 C2(211,853) = 1.859005980438915362 C3(211,853) = 7.452575978002882660 C4(211,853) = 6824 Sum = 3898.140852546035563 Averaged sum = 0.3894635680433645282 logp*logq = 36.11840367511760095 -------------- ************************************* p = 211; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4976193586216332.642 -------------- Searches starting with [211,857]-exponents: u = 5, v = 19 n_start has 68 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(211,857) = 0.9734074251368556913 D2(211,857) = 0.02379379937753913321 C1(211,857) = 1.384672447605361626 C2(211,857) = 1.882092707754701657 C3(211,857) = 10.20329016445041055 C4(211,857) = 6856 Sum = 4725.682337825021732 Averaged sum = 0.4721433048081748159 logp*logq = 36.14344165357320525 -------------- ************************************* p = 211; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5038661432887691.585 -------------- Searches starting with [211,859]-exponents: u = 5, v = 19 n_start has 68 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(211,859) = 0.7847895882549635313 D2(211,859) = 0.03539542366921722639 C1(211,859) = 1.087851146788114187 C2(211,859) = 1.894074702197559465 C3(211,859) = 6.201611503029705994 C4(211,859) = 6872 Sum = 4189.963392944573757 Averaged sum = 0.4186195816709535176 logp*logq = 36.15591685300627484 -------------- ************************************* p = 211; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5165510599244364.680 -------------- Searches starting with [211,863]-exponents: u = 5, v = 15 n_start has 56 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(211,863) = 1.177443234943986266 D2(211,863) = 0.05961280325225161019 C1(211,863) = 1.798922598646197519 C2(211,863) = 1.919050130467632195 C3(211,863) = 20.44199957794258862 C4(211,863) = 6904 Sum = 4688.901124345535630 Averaged sum = 0.4684684907928400069 logp*logq = 36.18078035014593336 -------------- ************************************* p = 211; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5630102616818277.165 -------------- Searches starting with [211,877]-exponents: u = 5, v = 15 n_start has 56 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(211,877) = 0.7151216877845984949 D2(211,877) = 0.1269420152785987110 C1(211,877) = 0.9471263615241521846 C2(211,877) = 1.403251198039959685 C3(211,877) = 4.897629230017353389 C4(211,877) = 7016 Sum = 4052.823474613509447 Averaged sum = 0.4049179213321520078 logp*logq = 36.26690406368450470 -------------- ************************************* p = 211; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5768903420543013.639 -------------- Searches starting with [211,881]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(211,881) = 0.8936479345226937268 D2(211,881) = 0.1305603821267895881 C1(211,881) = 1.170880518239000045 C2(211,881) = 1.383038741465524665 C3(211,881) = 7.128396282048638114 C4(211,881) = 7048 Sum = 4090.659115210730881 Averaged sum = 0.4086980832461515517 logp*logq = 36.29125840893644838 -------------- ************************************* p = 211; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5839339855183273.032 -------------- Searches starting with [211,883]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(211,883) = 0.6757151525039189277 D2(211,883) = 0.004340753489070351841 C1(211,883) = 0.9173246497978554233 C2(211,883) = 1.977643282945337928 C3(211,883) = 4.658812374524346530 C4(211,883) = 7064 Sum = 4346.060109947764337 Averaged sum = 0.4342152172992071472 logp*logq = 36.30339414686547377 -------------- ************************************* p = 211; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5982311205073313.472 -------------- Searches starting with [211,887]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(211,887) = 0.9401033378814847016 D2(211,887) = 0.01880309956833744430 C1(211,887) = 1.339210718282790449 C2(211,887) = 1.992889408408815337 C3(211,887) = 9.454121053237015094 C4(211,887) = 7096 Sum = 4740.704755496069808 Averaged sum = 0.4736441957734109110 logp*logq = 36.32758337734822969 -------------- ************************************* p = 211; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6740538830242674.787 -------------- Searches starting with [211,907]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(211,907) = 0.9800138814499862672 D2(211,907) = 0.06128958968312228239 C1(211,907) = 1.602978125079373118 C2(211,907) = 1.193927034175175064 C3(211,907) = 14.71556448194342016 C4(211,907) = 7256 Sum = 3176.629533923192443 Averaged sum = 0.3173773138098903430 logp*logq = 36.44691626177932127 -------------- ************************************* p = 211; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6901166364916857.108 -------------- Searches starting with [211,911]-exponents: u = 14, v = 7 n_start has 54 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(211,911) = 0.7797064372409567747 D2(211,911) = 0.07503375150111304544 C1(211,911) = 1.275305273311654168 C2(211,911) = 1.347551558067558001 C3(211,911) = 8.493090438262900328 C4(211,911) = 7288 Sum = 4183.926226278040243 Averaged sum = 0.4180164078607293678 logp*logq = 36.47046683062226692 -------------- ************************************* p = 211; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7231763611212542.357 -------------- Searches starting with [211,919]-exponents: u = 14, v = 7 n_start has 54 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(211,919) = 0.7687035445015892011 D2(211,919) = 0.07414429962018073171 C1(211,919) = 1.096661376801289580 C2(211,919) = 1.966271986862667144 C3(211,919) = 6.293943639532844143 C4(211,919) = 7352 Sum = 3651.179201887042380 Averaged sum = 0.3647896095401181317 logp*logq = 36.51725933096365477 -------------- ************************************* p = 211; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7663003770057093.860 -------------- Searches starting with [211,929]-exponents: u = 14, v = 7 n_start has 54 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(211,929) = 0.7133086396470905994 D2(211,929) = 0.05254238074374997111 C1(211,929) = 0.9840889805012467309 C2(211,929) = 1.946733758523289055 C3(211,929) = 5.210907235106846154 C4(211,929) = 7432 Sum = 4082.803210491270992 Averaged sum = 0.4079131991698742124 logp*logq = 36.57518043888070464 -------------- ************************************* p = 211; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8022850510167154.846 -------------- Searches starting with [211,937]-exponents: u = 23, v = 7 n_start has 75 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(211,937) = 0.5331974309709300353 D2(211,937) = 0.03369245071217867556 C1(211,937) = 0.7269970792444057704 C2(211,937) = 1.794891502911328373 C3(211,937) = 3.385483574809541505 C4(211,937) = 7496 Sum = 4221.924438451696285 Averaged sum = 0.4218128123140869502 logp*logq = 36.62107017884840648 -------------- ************************************* p = 211; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8207857573549679.293 -------------- Searches starting with [211,941]-exponents: u = 23, v = 7 n_start has 75 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(211,941) = 0.6391223427727569507 D2(211,941) = 0.02641047728606395259 C1(211,941) = 0.8791859220514577679 C2(211,941) = 1.788328938789598956 C3(211,941) = 4.370096046296120414 C4(211,941) = 7528 Sum = 4313.623471145655497 Averaged sum = 0.4309744700914832148 logp*logq = 36.64386833103816848 -------------- ************************************* p = 211; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8491860343927429.465 -------------- Searches starting with [211,947]-exponents: u = 32, v = 7 n_start has 96 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(211,947) = 0.5779787868753593899 D2(211,947) = 0.01502275008017831464 C1(211,947) = 0.7863017781471491070 C2(211,947) = 1.690651362648842594 C3(211,947) = 3.739594019856627704 C4(211,947) = 7576 Sum = 4231.129574079347359 Averaged sum = 0.4227324981595911039 logp*logq = 36.67788449301206381 -------------- ************************************* p = 211; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8783802669283435.920 -------------- Searches starting with [211,953]-exponents: u = 41, v = 7 n_start has 117 digits starting right neighbors generation We generated 618 left neighbors We generated 9392 right neighbors We generated 10009 non-negative rho_i D1(211,953) = 0.6937682806140440643 D2(211,953) = 0.005081682510700288032 C1(211,953) = 0.9517584285824741911 C2(211,953) = 1.618508864051649136 C3(211,953) = 4.935832193956242544 C4(211,953) = 7624 Sum = 4385.378494272612203 Averaged sum = 0.4381435202590280950 logp*logq = 36.71168581463538582 -------------- ************************************* p = 211; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9496836414151292.570 -------------- Searches starting with [211,967]-exponents: u = 140, v = 7 n_start has 347 digits --- performed 5000 steps in the continued fraction search [211,967]-exponents: u = 3, v = 69 --- starting right neighbors generation We generated 8587 left neighbors We generated 1423 right neighbors We generated 10009 non-negative rho_i D1(211,967) = 0.6420086558125843369 D2(211,967) = 0.001176623962692861016 C1(211,967) = 0.9966024504392307266 C2(211,967) = 1.767592883484673798 C3(211,967) = 5.321443583244965745 C4(211,967) = 7736 Sum = 4557.298967851894719 Averaged sum = 0.4553201086873708381 logp*logq = 36.78973512902065235 -------------- ************************************* p = 211; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9708978336623170.586 -------------- Searches starting with [211,971]-exponents: u = 365, v = 7 n_start has 870 digits --- performed 5000 steps in the continued fraction search [211,971]-exponents: u = 144, v = 165 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,971) = 0.5405905342595057114 D2(211,971) = 0.3137846081917210374 C1(211,971) = 0.6942898605266030823 C2(211,971) = 1.504953218105362690 C3(211,971) = 3.204744065896408816 C4(211,971) = 7768 Sum = 5244.118608523587029 Averaged sum = 0.5244643072830870115 logp*logq = 36.81182745402863462 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,971) = 0.5405905342595057114 D2(211,971) = 0.3137846081917210374 C1(211,971) = 0.6942898605266030823 C2(211,971) = 1.504953218105362690 C3(211,971) = 3.204744065896408816 C4(211,971) = 7768 Sum = 5244.118608523587029 Averaged sum = 0.5244643072830870115 logp*logq = 36.81182745402863462 -------------- ************************************* p = 211; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10034402999318412.50 -------------- Searches starting with [211,977]-exponents: u = 9, v = 213 n_start has 658 digits --- performed 5000 steps in the continued fraction search [211,977]-exponents: u = 202, v = 44 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,977) = 0.5898614114618841056 D2(211,977) = 0.2438295943525442961 C1(211,977) = 0.7661376298564701262 C2(211,977) = 1.499290000622436412 C3(211,977) = 3.615220424992127998 C4(211,977) = 7816 Sum = 5052.775724013243584 Averaged sum = 0.5053281052118455429 logp*logq = 36.84479588354258131 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(211,977) = 0.5898614114618841056 D2(211,977) = 0.2438295943525442961 C1(211,977) = 0.7661376298564701262 C2(211,977) = 1.499290000622436412 C3(211,977) = 3.615220424992127998 C4(211,977) = 7816 Sum = 5052.775724013243584 Averaged sum = 0.5053281052118455429 logp*logq = 36.84479588354258131 -------------- ************************************* p = 211; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10368642107461845.30 -------------- Searches starting with [211,983]-exponents: u = 9, v = 73 n_start has 240 digits starting right neighbors generation We generated 4043 left neighbors We generated 5967 right neighbors We generated 10009 non-negative rho_i D1(211,983) = 0.7779396300289071552 D2(211,983) = 0.01009979479756793707 C1(211,983) = 1.059498708103284150 C2(211,983) = 1.793105172928732863 C3(211,983) = 5.913569084821909577 C4(211,983) = 7864 Sum = 4571.385265482569647 Averaged sum = 0.4567274718236157105 logp*logq = 36.87756246426397561 -------------- ************************************* p = 211; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10828321860811537.05 -------------- Searches starting with [211,991]-exponents: u = 9, v = 38 n_start has 135 digits starting right neighbors generation We generated 1188 left neighbors We generated 8822 right neighbors We generated 10009 non-negative rho_i D1(211,991) = 0.5843567470811354576 D2(211,991) = 0.04469477499641008910 C1(211,991) = 0.8257652852037946277 C2(211,991) = 1.829010915409158659 C3(211,991) = 3.995524543244459514 C4(211,991) = 7928 Sum = 4153.198268490796636 Averaged sum = 0.4149463751114793321 logp*logq = 36.92094149108350078 -------------- ************************************* p = 211; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11183843284663384.25 -------------- Searches starting with [211,997]-exponents: u = 9, v = 31 n_start has 114 digits starting right neighbors generation We generated 806 left neighbors We generated 9204 right neighbors We generated 10009 non-negative rho_i D1(211,997) = 0.7595675617944617511 D2(211,997) = 0.07280291127701485072 C1(211,997) = 0.9904951170860009561 C2(211,997) = 1.858095076554060300 C3(211,997) = 5.267205246960692596 C4(211,997) = 7976 Sum = 3358.791629083500572 Averaged sum = 0.3355771434792187603 logp*logq = 36.95324656784539707 -------------- ************************************* p = 223; q = 227; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5488283131880.847914 -------------- Searches starting with [223,227]-exponents: u = 1, v = 304 n_start has 719 digits --- performed 5000 steps in the continued fraction search [223,227]-exponents: u = 256, v = 33 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,227) = 0.8040922107624234446 D2(223,227) = 0.03014010787218383934 C1(223,227) = 1.041332399528403578 C2(223,227) = 1.059107660141792770 C3(223,227) = 5.797831399150811427 C4(223,227) = 1816 Sum = 5455.374525234219171 Averaged sum = 0.5455920117245943765 logp*logq = 29.33363659610751833 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,227) = 0.8040922107624234446 D2(223,227) = 0.03014010787218383934 C1(223,227) = 1.041332399528403578 C2(223,227) = 1.059107660141792770 C3(223,227) = 5.797831399150811427 C4(223,227) = 1816 Sum = 5455.374525234219171 Averaged sum = 0.5455920117245943765 logp*logq = 29.33363659610751833 -------------- ************************************* p = 223; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5754873814248.206325 -------------- Searches starting with [223,229]-exponents: u = 1, v = 203 n_start has 482 digits --- performed 5000 steps in the continued fraction search [223,229]-exponents: u = 47, v = 131 --- starting right neighbors generation We generated 5183 left neighbors We generated 4827 right neighbors We generated 10009 non-negative rho_i D1(223,229) = 0.6700619069261891411 D2(223,229) = 0.003487888227660244658 C1(223,229) = 0.8825133255399647412 C2(223,229) = 1.096405802487725714 C3(223,229) = 4.434615175785770458 C4(223,229) = 1832 Sum = 5219.668445544846164 Averaged sum = 0.5214974968073579942 logp*logq = 29.38106823158020372 -------------- ************************************* p = 223; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6319753064581.394015 -------------- Searches starting with [223,233]-exponents: u = 1, v = 123 n_start has 294 digits starting right neighbors generation We generated 1988 left neighbors We generated 8022 right neighbors We generated 10009 non-negative rho_i D1(223,233) = 0.6843218739355153371 D2(223,233) = 0.007482588643546643505 C1(223,233) = 0.9239244904741094384 C2(223,233) = 1.188190327004417739 C3(223,233) = 4.755641270661641124 C4(223,233) = 1864 Sum = 4662.217072416845823 Averaged sum = 0.4658024850051799204 logp*logq = 29.47470125126407544 -------------- ************************************* p = 223; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7251135008468.988055 -------------- Searches starting with [223,239]-exponents: u = 1, v = 78 n_start has 188 digits starting right neighbors generation We generated 824 left neighbors We generated 9186 right neighbors We generated 10009 non-negative rho_i D1(223,239) = 0.9948083106459399083 D2(223,239) = 0.02342986611097175993 C1(223,239) = 1.379059652094794066 C2(223,239) = 1.296632492422793081 C3(223,239) = 10.25202324846873002 C4(223,239) = 1912 Sum = 4100.963794470465174 Averaged sum = 0.4097276245849200893 logp*logq = 29.61217912543428062 -------------- ************************************* p = 223; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7585344535459.363479 -------------- Searches starting with [223,241]-exponents: u = 1, v = 69 n_start has 167 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(223,241) = 0.6073387164807619922 D2(223,241) = 0.007341636153629092920 C1(223,241) = 0.8478028095941726755 C2(223,241) = 1.308636758940784630 C3(223,241) = 4.182290218848232230 C4(223,241) = 1928 Sum = 4777.051884006196943 Averaged sum = 0.4772756403243277993 logp*logq = 29.65723915096169214 -------------- ************************************* p = 223; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9450352487515.265497 -------------- Searches starting with [223,251]-exponents: u = 1, v = 45 n_start has 111 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(223,251) = 0.6133796748136523456 D2(223,251) = 0.006436543843798298207 C1(223,251) = 0.8228690609548789252 C2(223,251) = 1.415208271378952340 C3(223,251) = 4.009945520998899171 C4(223,251) = 2008 Sum = 4496.876603928871919 Averaged sum = 0.4492833054180109820 logp*logq = 29.87707315700472763 -------------- ************************************* p = 223; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10737974185889.12260 -------------- Searches starting with [223,257]-exponents: u = 1, v = 38 n_start has 94 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(223,257) = 0.7858368582928967574 D2(223,257) = 0.04489467155443488455 C1(223,257) = 1.147862391862106073 C2(223,257) = 1.500720877804724175 C3(223,257) = 6.939830896804281896 C4(223,257) = 2056 Sum = 2941.517617795273449 Averaged sum = 0.2938872632426089968 logp*logq = 30.00480756392986599 -------------- ************************************* p = 223; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12165120395839.91685 -------------- Searches starting with [223,263]-exponents: u = 1, v = 32 n_start has 80 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(223,263) = 0.6274572622936570664 D2(223,263) = 0.02876368816014251568 C1(223,263) = 0.9277600929060804424 C2(223,263) = 1.533479305471155060 C3(223,263) = 4.786526519787525695 C4(223,263) = 2104 Sum = 4394.919966377061464 Averaged sum = 0.4390968095091479132 logp*logq = 30.12959398901928673 -------------- ************************************* p = 223; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13743202322478.87905 -------------- Searches starting with [223,269]-exponents: u = 1, v = 28 n_start has 71 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(223,269) = 0.6765129605514489187 D2(223,269) = 0.07137221982331189178 C1(223,269) = 1.012209042054917805 C2(223,269) = 1.612392065873361731 C3(223,269) = 5.519745190769615715 C4(223,269) = 2152 Sum = 4352.598113255771927 Averaged sum = 0.4348684297388122616 logp*logq = 30.25156544124976129 -------------- ************************************* p = 223; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14304835582072.12762 -------------- Searches starting with [223,271]-exponents: u = 1, v = 27 n_start has 69 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(223,271) = 0.7084674760795692188 D2(223,271) = 0.07076573880082911818 C1(223,271) = 0.9604624621967259373 C2(223,271) = 1.625101669451920165 C3(223,271) = 5.058134000445788992 C4(223,271) = 2168 Sum = 4540.300951359299812 Averaged sum = 0.4536218354839943862 logp*logq = 30.29161874862616405 -------------- ************************************* p = 223; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16103032136616.91943 -------------- Searches starting with [223,277]-exponents: u = 1, v = 24 n_start has 61 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(223,277) = 0.8620880950577412159 D2(223,277) = 0.02419167709974463054 C1(223,277) = 1.308658240847454557 C2(223,277) = 1.623053693668383233 C3(223,277) = 9.103480122445211949 C4(223,277) = 2216 Sum = 4361.902839970444873 Averaged sum = 0.4357980657378803949 logp*logq = 30.41002870165371053 -------------- ************************************* p = 223; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17401059402587.52525 -------------- Searches starting with [223,281]-exponents: u = 1, v = 23 n_start has 59 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(223,281) = 0.6735535874690345282 D2(223,281) = 0.06383663112591880286 C1(223,281) = 0.9101832798530283861 C2(223,281) = 1.680428740616296603 C3(223,281) = 4.646620347731956528 C4(223,281) = 2248 Sum = 4493.690597853392735 Averaged sum = 0.4489649912931754156 logp*logq = 30.48755220550178223 -------------- ************************************* p = 223; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18081331303296.58094 -------------- Searches starting with [223,283]-exponents: u = 1, v = 22 n_start has 57 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(223,283) = 0.6661990426922454777 D2(223,283) = 0.02237353672057628198 C1(223,283) = 0.9299707821913404544 C2(223,283) = 1.656723482589599821 C3(223,283) = 4.804418590219373605 C4(223,283) = 2264 Sum = 4300.381311489343477 Averaged sum = 0.4296514448485706341 logp*logq = 30.52590110221361693 -------------- ************************************* p = 223; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21816092216999.02095 -------------- Searches starting with [223,293]-exponents: u = 1, v = 19 n_start has 50 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(223,293) = 0.7472006459587724080 D2(223,293) = 0.09729901922348283931 C1(223,293) = 1.018726957035727659 C2(223,293) = 1.774200157956357997 C3(223,293) = 5.580800103687347147 C4(223,293) = 2344 Sum = 4410.068214733198530 Averaged sum = 0.4406102722283143700 logp*logq = 30.71366898849806036 -------------- ************************************* p = 223; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28079179658076.86327 -------------- Searches starting with [223,307]-exponents: u = 1, v = 16 n_start has 43 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(223,307) = 0.7833934035601173510 D2(223,307) = 0.03803885733900896465 C1(223,307) = 1.240827140739387750 C2(223,307) = 1.790994531373289717 C3(223,307) = 8.118752002606855207 C4(223,307) = 2456 Sum = 4226.114492116122549 Averaged sum = 0.4222314409147889448 logp*logq = 30.96604948020345589 -------------- ************************************* p = 223; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30115051386418.45385 -------------- Searches starting with [223,311]-exponents: u = 1, v = 16 n_start has 43 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(223,311) = 0.8081620952265632728 D2(223,311) = 0.1473310870899101097 C1(223,311) = 1.130299363273225061 C2(223,311) = 1.902303874460638008 C3(223,311) = 6.737142170187274612 C4(223,311) = 2488 Sum = 4839.434556128673173 Averaged sum = 0.4835082981445372338 logp*logq = 31.03604620876242329 -------------- ************************************* p = 223; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31177184741618.89606 -------------- Searches starting with [223,313]-exponents: u = 1, v = 15 n_start has 40 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(223,313) = 0.8950759660013959365 D2(223,313) = 0.01502339681540347229 C1(223,313) = 1.428266713004799581 C2(223,313) = 1.798606837492208645 C3(223,313) = 11.13978707823724098 C4(223,313) = 2504 Sum = 3775.541324867687908 Averaged sum = 0.3772146393113885411 logp*logq = 31.07070768496278659 -------------- ************************************* p = 223; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33393123327692.41964 -------------- Searches starting with [223,317]-exponents: u = 1, v = 15 n_start has 40 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(223,317) = 0.7947167541009628831 D2(223,317) = 0.1085841321866528068 C1(223,317) = 1.069836750537204443 C2(223,317) = 1.894163419534878268 C3(223,317) = 6.083568756613355812 C4(223,317) = 2536 Sum = 4318.190042848828410 Averaged sum = 0.4314307166399069247 logp*logq = 31.13937110632083569 -------------- ************************************* p = 223; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42183518086501.20302 -------------- Searches starting with [223,331]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(223,331) = 0.7091357893591732784 D2(223,331) = 0.01209670239820774166 C1(223,331) = 0.9370041690288347368 C2(223,331) = 1.869584077073475463 C3(223,331) = 4.861788941755488317 C4(223,331) = 2648 Sum = 3794.847666009182546 Averaged sum = 0.3791435374172427361 logp*logq = 31.37305069400889950 -------------- ************************************* p = 223; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46486735443967.52590 -------------- Searches starting with [223,337]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(223,337) = 0.7433951689037008768 D2(223,337) = 0.09988263584800534842 C1(223,337) = 1.218903816009533099 C2(223,337) = 1.275824061667150104 C3(223,337) = 7.823843101486556509 C4(223,337) = 2696 Sum = 4165.279769591619213 Averaged sum = 0.4161534388641841556 logp*logq = 31.47018812855817873 -------------- ************************************* p = 223; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54449992753974.72670 -------------- Searches starting with [223,347]-exponents: u = 1, v = 12 n_start has 33 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(223,347) = 0.5803295589410918628 D2(223,347) = 0.07821983548212416467 C1(223,347) = 0.8270210894278858123 C2(223,347) = 1.982241106162025228 C3(223,347) = 4.038143847010321920 C4(223,347) = 2776 Sum = 4213.000700765391178 Averaged sum = 0.4209212409596754099 logp*logq = 31.62830383223082796 -------------- ************************************* p = 223; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56168634811975.75012 -------------- Searches starting with [223,349]-exponents: u = 1, v = 12 n_start has 33 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(223,349) = 0.8029452376591349274 D2(223,349) = 0.08290909872713960976 C1(223,349) = 1.331374811007168609 C2(223,349) = 1.235221306432967919 C3(223,349) = 9.459278593976366266 C4(223,349) = 2792 Sum = 4327.264440708601953 Averaged sum = 0.4323373404644421973 logp*logq = 31.65937961760170073 -------------- ************************************* p = 223; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59738658667205.29920 -------------- Searches starting with [223,353]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(223,353) = 0.5999787581512281041 D2(223,353) = 0.1120357725861326981 C1(223,353) = 0.8133853631623056452 C2(223,353) = 1.761710630364745084 C3(223,353) = 3.946273715136547288 C4(223,353) = 2824 Sum = 4238.225705596649964 Averaged sum = 0.4234414732337546173 logp*logq = 31.72100047562221511 -------------- ************************************* p = 223; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65438686842444.68193 -------------- Searches starting with [223,359]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(223,359) = 0.7138295399922628901 D2(223,359) = 0.02388651237963740630 C1(223,359) = 0.9476119253583344551 C2(223,359) = 1.978079651395741697 C3(223,359) = 4.949613304585032988 C4(223,359) = 2872 Sum = 4024.004001273060760 Averaged sum = 0.4020385654184294895 logp*logq = 31.81213474143314388 -------------- ************************************* p = 223; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73720784114274.67301 -------------- Searches starting with [223,367]-exponents: u = 1, v = 10 n_start has 28 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(223,367) = 0.7199853450628709624 D2(223,367) = 0.09258061153203291481 C1(223,367) = 0.9949756021611829922 C2(223,367) = 1.782814203212699138 C3(223,367) = 5.361513853078634243 C4(223,367) = 2936 Sum = 4650.227549415861754 Averaged sum = 0.4646046107918734893 logp*logq = 31.93130588505823140 -------------- ************************************* p = 223; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80476929819435.97238 -------------- Searches starting with [223,373]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(223,373) = 0.9191995756848761777 D2(223,373) = 0.08391635435250801188 C1(223,373) = 1.413987333025268524 C2(223,373) = 1.777118530150907127 C3(223,373) = 10.87453086998168473 C4(223,373) = 2984 Sum = 3488.746056920819871 Averaged sum = 0.3485609008812888272 logp*logq = 32.01899167318546058 -------------- ************************************* p = 223; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87729397128116.95108 -------------- Searches starting with [223,379]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(223,379) = 0.7627480409815451915 D2(223,379) = 0.03072606065892984784 C1(223,379) = 1.082548628624998834 C2(223,379) = 2.045791983519650710 C3(223,379) = 6.215496814573352987 C4(223,379) = 3032 Sum = 3768.008644521793991 Averaged sum = 0.3764620486084318105 logp*logq = 32.10527816014413427 -------------- ************************************* p = 223; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92853759148030.68724 -------------- Searches starting with [223,383]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(223,383) = 1.597874585475336488 D2(223,383) = 0.04208507608901346824 C1(223,383) = 2.722517015880521610 C2(223,383) = 1.049058584646472459 C3(223,383) = 98.97459869908918285 C4(223,383) = 3064 Sum = 4693.318233206059142 Averaged sum = 0.4689098044965590111 logp*logq = 32.16204688915468189 -------------- ************************************* p = 223; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100995581438213.1456 -------------- Searches starting with [223,389]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(223,389) = 0.7039286147664499969 D2(223,389) = 0.06385370169971209150 C1(223,389) = 0.9790998601635086541 C2(223,389) = 1.803706423296007559 C3(223,389) = 5.219765435269207041 C4(223,389) = 3112 Sum = 4491.710358857459570 Averaged sum = 0.4487671454548366040 logp*logq = 32.24609788367632652 -------------- ************************************* p = 223; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112747434384505.2954 -------------- Searches starting with [223,397]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(223,397) = 1.675661553224284124 D2(223,397) = 0.04913244481616922544 C1(223,397) = 2.315661537738720587 C2(223,397) = 1.645856202428004617 C3(223,397) = 49.80934401202718709 C4(223,397) = 3176 Sum = 6242.521586239583256 Averaged sum = 0.6236908368707746284 logp*logq = 32.35617133914782982 -------------- ************************************* p = 223; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119027899239564.8011 -------------- Searches starting with [223,401]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(223,401) = 0.8108686876628246637 D2(223,401) = 0.04041495227472203149 C1(223,401) = 1.086623024551442841 C2(223,401) = 1.488077984509794643 C3(223,401) = 6.258384748479957827 C4(223,401) = 3208 Sum = 4401.696341625697549 Averaged sum = 0.4397738377086319861 logp*logq = 32.41037902895288356 -------------- ************************************* p = 223; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132445298334926.4761 -------------- Searches starting with [223,409]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(223,409) = 0.7357734936794793322 D2(223,409) = 0.04024313518496988643 C1(223,409) = 1.275073513608823761 C2(223,409) = 1.835441280889870037 C3(223,409) = 8.601829800286236358 C4(223,409) = 3272 Sum = 4504.731487663469978 Averaged sum = 0.4500680874876081505 logp*logq = 32.51719083335652082 -------------- ************************************* p = 223; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150925159574880.4935 -------------- Searches starting with [223,419]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(223,419) = 0.8134194032217442021 D2(223,419) = 0.02861522172507857864 C1(223,419) = 1.139920477955708801 C2(223,419) = 1.828428435329641537 C3(223,419) = 6.847431591124629314 C4(223,419) = 3352 Sum = 4742.143181854307890 Averaged sum = 0.4737879090672702458 logp*logq = 32.64780519792292233 -------------- ************************************* p = 223; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 154861716585894.7748 -------------- Searches starting with [223,421]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(223,421) = 0.9626774511410676643 D2(223,421) = 0.02636204218409006225 C1(223,421) = 1.514496574902920761 C2(223,421) = 1.827084754558820280 C3(223,421) = 12.88489269699876004 C4(223,421) = 3368 Sum = 3220.132991452109722 Averaged sum = 0.3217237477722159778 logp*logq = 32.67355368358543950 -------------- ************************************* p = 223; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175821154628369.8431 -------------- Searches starting with [223,431]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(223,431) = 0.7122796131282661936 D2(223,431) = 0.01273343631633433908 C1(223,431) = 1.026270244261143906 C2(223,431) = 1.502254311600789369 C3(223,431) = 5.652303477421429602 C4(223,431) = 3448 Sum = 4315.750880678886924 Averaged sum = 0.4311870197501135902 logp*logq = 32.80048842743483963 -------------- ************************************* p = 223; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180278082018855.1400 -------------- Searches starting with [223,433]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(223,433) = 0.6158411503634692928 D2(223,433) = 0.01033348280275775304 C1(223,433) = 0.8657617826417340575 C2(223,433) = 1.412494507088423596 C3(223,433) = 4.310995382586980783 C4(223,433) = 3464 Sum = 4374.519040744511926 Averaged sum = 0.4370585513782108029 logp*logq = 32.82552167479299963 -------------- ************************************* p = 223; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 194204621638235.9375 -------------- Searches starting with [223,439]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(223,439) = 1.149072782728409923 D2(223,439) = 0.006935769249100847135 C1(223,439) = 2.031695449578975143 C2(223,439) = 1.030821243950965270 C3(223,439) = 30.84410346644474777 C4(223,439) = 3512 Sum = 3597.268721470087519 Averaged sum = 0.3594034090788377979 logp*logq = 32.89993346984572714 -------------- ************************************* p = 223; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 203966819699212.3295 -------------- Searches starting with [223,443]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(223,443) = 0.7126144596820095964 D2(223,443) = 0.003092459010622488728 C1(223,443) = 0.9947629257308048799 C2(223,443) = 1.869179464636936053 C3(223,443) = 5.359589738894194464 C4(223,443) = 3544 Sum = 3849.399826186362042 Averaged sum = 0.3845938481552964374 logp*logq = 32.94897844801078458 -------------- ************************************* p = 223; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 219357024296100.7973 -------------- Searches starting with [223,449]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(223,449) = 0.7627419756353285603 D2(223,449) = 0.07954418319131559183 C1(223,449) = 1.044775586027155683 C2(223,449) = 1.660064553791416205 C3(223,449) = 5.831621586753708346 C4(223,449) = 3592 Sum = 4548.399776829329885 Averaged sum = 0.4544309897921200805 logp*logq = 33.02172176626077513 -------------- ************************************* p = 223; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 241336934229131.7084 -------------- Searches starting with [223,457]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(223,457) = 0.6497127101087872026 D2(223,457) = 0.1423872887998376852 C1(223,457) = 1.036819034056748319 C2(223,457) = 1.400133386403055775 C3(223,457) = 5.753835212112846319 C4(223,457) = 3656 Sum = 4137.086059625127619 Averaged sum = 0.4133366030197949464 logp*logq = 33.11721514037378382 -------------- ************************************* p = 223; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 252981318300497.6564 -------------- Searches starting with [223,461]-exponents: u = 17, v = 7 n_start has 59 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(223,461) = 0.8149132295217793639 D2(223,461) = 0.1457297643274631120 C1(223,461) = 1.132493646090790520 C2(223,461) = 1.851498754115603186 C3(223,461) = 6.762138412229372938 C4(223,461) = 3688 Sum = 4203.286703474086149 Averaged sum = 0.4199507147041748575 logp*logq = 33.16433676122021361 -------------- ************************************* p = 223; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 258972881569712.8783 -------------- Searches starting with [223,463]-exponents: u = 17, v = 7 n_start has 59 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(223,463) = 0.9648859211905979875 D2(223,463) = 0.1247392706889571420 C1(223,463) = 1.400578100640747141 C2(223,463) = 1.831332725306805354 C3(223,463) = 10.63119203820269047 C4(223,463) = 3704 Sum = 4226.069725708635692 Averaged sum = 0.4222269682993941145 logp*logq = 33.18774446778215844 -------------- ************************************* p = 223; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 271303180895371.0742 -------------- Searches starting with [223,467]-exponents: u = 25, v = 7 n_start has 78 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(223,467) = 0.7426756286035628164 D2(223,467) = 0.08667060601786475730 C1(223,467) = 0.9902627044334081923 C2(223,467) = 1.794902192228228019 C3(223,467) = 5.319037094040204579 C4(223,467) = 3736 Sum = 4213.361132232131800 Averaged sum = 0.4209572516966861624 logp*logq = 33.23425806016668820 -------------- ************************************* p = 223; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 311196372671160.1859 -------------- Searches starting with [223,479]-exponents: u = 105, v = 7 n_start has 266 digits starting right neighbors generation We generated 5447 left neighbors We generated 4563 right neighbors We generated 10009 non-negative rho_i D1(223,479) = 0.6878423420718069836 D2(223,479) = 0.01578057861873314143 C1(223,479) = 0.9334101725838997540 C2(223,479) = 1.628336653546783183 C3(223,479) = 4.832388134759809185 C4(223,479) = 3832 Sum = 4606.593940257908074 Averaged sum = 0.4602451733697580252 logp*logq = 33.37144525222385176 -------------- ************************************* p = 223; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 340353902083751.6441 -------------- Searches starting with [223,487]-exponents: u = 8, v = 83 n_start has 242 digits starting right neighbors generation We generated 4522 left neighbors We generated 5488 right neighbors We generated 10009 non-negative rho_i D1(223,487) = 0.8351464373059095249 D2(223,487) = 0.01330412598731463634 C1(223,487) = 1.139263141537748892 C2(223,487) = 1.651713698424436193 C3(223,487) = 6.839839236218656052 C4(223,487) = 3896 Sum = 4720.369137535533618 Averaged sum = 0.4716124625372698189 logp*logq = 33.46100708067158543 -------------- ************************************* p = 223; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 355745879848968.1409 -------------- Searches starting with [223,491]-exponents: u = 8, v = 41 n_start has 130 digits starting right neighbors generation We generated 807 left neighbors We generated 9203 right neighbors We generated 10009 non-negative rho_i D1(223,491) = 0.6415892479787943748 D2(223,491) = 0.007729333579821968666 C1(223,491) = 0.8557462177191520163 C2(223,491) = 1.471627523856066529 C3(223,491) = 4.238736771390350062 C4(223,491) = 3928 Sum = 4235.543810544154291 Averaged sum = 0.4231735248820216097 logp*logq = 33.50523777124034834 -------------- ************************************* p = 223; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 388233589093627.9726 -------------- Searches starting with [223,499]-exponents: u = 8, v = 20 n_start has 73 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(223,499) = 0.9256078194162072858 D2(223,499) = 0.05014992226317078912 C1(223,499) = 1.317229477808480582 C2(223,499) = 1.692898551508716727 C3(223,499) = 9.236127281818361699 C4(223,499) = 3992 Sum = 4470.714137927005931 Averaged sum = 0.4466694113225103338 logp*logq = 33.59262830814867136 -------------- ************************************* p = 223; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 405361172501201.2514 -------------- Searches starting with [223,503]-exponents: u = 8, v = 13 n_start has 54 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(223,503) = 0.7894218920064027667 D2(223,503) = 0.07756546952271774130 C1(223,503) = 1.063139562212221590 C2(223,503) = 1.834956183170993203 C3(223,503) = 6.015193209988676255 C4(223,503) = 4024 Sum = 4277.005070576710963 Averaged sum = 0.4273159227272166014 logp*logq = 33.63579956958560832 -------------- ************************************* p = 223; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 432203207879509.6085 -------------- Searches starting with [223,509]-exponents: u = 8, v = 13 n_start has 54 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(223,509) = 0.6107292688029407822 D2(223,509) = 0.1164093730778873964 C1(223,509) = 0.8550098453057277630 C2(223,509) = 1.875839881543782000 C3(223,509) = 4.233472162620822616 C4(223,509) = 4072 Sum = 3833.328465186842958 Averaged sum = 0.3829881571772247935 logp*logq = 33.69991698218459362 -------------- ************************************* p = 223; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 490239437223699.2692 -------------- Searches starting with [223,521]-exponents: u = 15, v = 6 n_start has 52 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(223,521) = 0.6757859051736529960 D2(223,521) = 0.07516629208442995084 C1(223,521) = 0.9554992318420215011 C2(223,521) = 1.858997762514123168 C3(223,521) = 5.015941130266761967 C4(223,521) = 4168 Sum = 3995.222252504634682 Averaged sum = 0.3991629785697506926 logp*logq = 33.82591503507926489 -------------- ************************************* p = 223; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 500501741224025.0355 -------------- Searches starting with [223,523]-exponents: u = 15, v = 6 n_start has 52 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(223,523) = 0.7632352588890924916 D2(223,523) = 0.06152498252746541538 C1(223,523) = 1.179995074705565442 C2(223,523) = 1.846108037549949823 C3(223,523) = 7.326578142545406988 C4(223,523) = 4184 Sum = 3872.771697909713300 Averaged sum = 0.3869289337505957938 logp*logq = 33.84663219364685288 -------------- ************************************* p = 223; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 600989795153418.9149 -------------- Searches starting with [223,541]-exponents: u = 64, v = 6 n_start has 167 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(223,541) = 0.7629302880840363420 D2(223,541) = 0.03036563629364343911 C1(223,541) = 1.064999834128608646 C2(223,541) = 1.637821975795187818 C3(223,541) = 6.034108366467328542 C4(223,541) = 4328 Sum = 4779.746239085881935 Averaged sum = 0.4775448335583856464 logp*logq = 34.02959907054159259 -------------- ************************************* p = 223; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 637922296203612.5735 -------------- Searches starting with [223,547]-exponents: u = 267, v = 6 n_start has 644 digits --- performed 5000 steps in the continued fraction search [223,547]-exponents: u = 172, v = 68 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,547) = 0.7617279224873514184 D2(223,547) = 0.2379650756434618416 C1(223,547) = 0.9918211640953239488 C2(223,547) = 1.414640734510791568 C3(223,547) = 5.333045923521350982 C4(223,547) = 4376 Sum = 5147.380773918647750 Averaged sum = 0.5147895563474995250 logp*logq = 34.08923759907168837 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,547) = 0.7617279224873514184 D2(223,547) = 0.2379650756434618416 C1(223,547) = 0.9918211640953239488 C2(223,547) = 1.414640734510791568 C3(223,547) = 5.333045923521350982 C4(223,547) = 4376 Sum = 5147.380773918647750 Averaged sum = 0.5147895563474995250 logp*logq = 34.08923759907168837 -------------- ************************************* p = 223; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 703575486832635.2859 -------------- Searches starting with [223,557]-exponents: u = 7, v = 59 n_start has 179 digits starting right neighbors generation We generated 2254 left neighbors We generated 7756 right neighbors We generated 10009 non-negative rho_i D1(223,557) = 0.6347517076539700355 D2(223,557) = 0.01317643955180980422 C1(223,557) = 0.8821202222948836970 C2(223,557) = 1.646278787559271117 C3(223,557) = 4.431674003289702952 C4(223,557) = 4456 Sum = 4516.463377419423069 Averaged sum = 0.4512402215425540083 logp*logq = 34.18719628854978313 -------------- ************************************* p = 223; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 745540687448958.3726 -------------- Searches starting with [223,563]-exponents: u = 7, v = 35 n_start has 113 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(223,563) = 0.8153951844147675511 D2(223,563) = 0.02790846994235446624 C1(223,563) = 1.072305785268468054 C2(223,563) = 1.746135798617538397 C3(223,563) = 6.108972211518267347 C4(223,563) = 4504 Sum = 3587.461704636740246 Averaged sum = 0.3584235892333639970 logp*logq = 34.24513082604037184 -------------- ************************************* p = 223; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 789523886922134.1432 -------------- Searches starting with [223,569]-exponents: u = 7, v = 23 n_start has 80 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(223,569) = 0.8167655709076953011 D2(223,569) = 0.08293302114857833260 C1(223,569) = 1.092243473992157873 C2(223,569) = 1.802880366017467836 C3(223,569) = 6.318032864378937509 C4(223,569) = 4552 Sum = 4319.629965807327200 Averaged sum = 0.4315745794592194225 logp*logq = 34.30245120492606000 -------------- ************************************* p = 223; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 804646170462088.8627 -------------- Searches starting with [223,571]-exponents: u = 7, v = 23 n_start has 80 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(223,571) = 1.123974190437862768 D2(223,571) = 0.1032369716071223539 C1(223,571) = 1.699541269131075078 C2(223,571) = 1.823753555142315470 C3(223,571) = 17.60812231781133570 C4(223,571) = 4568 Sum = 3268.798016295884588 Averaged sum = 0.3265858743426800467 logp*logq = 34.32142375692253191 -------------- ************************************* p = 223; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 851435811944912.2998 -------------- Searches starting with [223,577]-exponents: u = 7, v = 17 n_start has 64 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(223,577) = 0.8786344520149254079 D2(223,577) = 0.01639124678846765905 C1(223,577) = 1.195978927069567139 C2(223,577) = 1.739382445594171773 C3(223,577) = 7.526912595408492141 C4(223,577) = 4616 Sum = 4646.724823297915402 Averaged sum = 0.4642546531419637728 logp*logq = 34.37794523085861719 -------------- ************************************* p = 223; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 934333211596141.6562 -------------- Searches starting with [223,587]-exponents: u = 7, v = 11 n_start has 47 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(223,587) = 0.5795380980811412809 D2(223,587) = 0.05878706241033623394 C1(223,587) = 0.7868289433479241089 C2(223,587) = 1.910254600757616562 C3(223,587) = 3.773307000770323045 C4(223,587) = 4696 Sum = 4276.178080552167523 Averaged sum = 0.4272332980869385076 logp*logq = 34.47085424813211270 -------------- ************************************* p = 223; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 987149792744891.5984 -------------- Searches starting with [223,593]-exponents: u = 7, v = 11 n_start has 47 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(223,593) = 0.6877395808864359366 D2(223,593) = 0.08245001632274969584 C1(223,593) = 0.9342007022426522005 C2(223,593) = 1.386672404292393597 C3(223,593) = 4.838839798350285173 C4(223,593) = 4744 Sum = 4110.088320936821007 Averaged sum = 0.4106392567625957645 logp*logq = 34.52584290954575948 -------------- ************************************* p = 223; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1042374818727966.526 -------------- Searches starting with [223,599]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(223,599) = 0.6770935321940646323 D2(223,599) = 0.08016077870898954525 C1(223,599) = 1.122618304868087581 C2(223,599) = 1.387589860041464584 C3(223,599) = 6.650368730336452705 C4(223,599) = 4792 Sum = 4338.596427314702730 Averaged sum = 0.4334695201633232821 logp*logq = 34.58027798443278435 -------------- ************************************* p = 223; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1061332837480393.158 -------------- Searches starting with [223,601]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(223,601) = 0.8457666976188781860 D2(223,601) = 0.07342555781130282786 C1(223,601) = 1.180631767817132077 C2(223,601) = 1.955286792115633352 C3(223,601) = 7.334455248431437367 C4(223,601) = 4808 Sum = 4884.314477945453602 Averaged sum = 0.4879922547652566293 logp*logq = 34.59830190702648099 -------------- ************************************* p = 223; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1119900207281374.440 -------------- Searches starting with [223,607]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(223,607) = 1.388380305742395262 D2(223,607) = 0.04299586328687844652 C1(223,607) = 2.064486579583559177 C2(223,607) = 1.926878505186988920 C3(223,607) = 32.59920967550149412 C4(223,607) = 4856 Sum = 5340.426030776252904 Averaged sum = 0.5335623969203969331 logp*logq = 34.65201597560636050 -------------- ************************************* p = 223; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1181075312879073.389 -------------- Searches starting with [223,613]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(223,613) = 0.6776566463126869816 D2(223,613) = 0.01497053442946529653 C1(223,613) = 1.066137890252545670 C2(223,613) = 1.900854392229151422 C3(223,613) = 6.045709379631374681 C4(223,613) = 4904 Sum = 4151.648871158358771 Averaged sum = 0.4147915746986071307 logp*logq = 34.70520170052371584 -------------- ************************************* p = 223; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1223351259066705.154 -------------- Searches starting with [223,617]-exponents: u = 19, v = 5 n_start has 59 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(223,617) = 0.7223521790706944738 D2(223,617) = 0.1517748664698928057 C1(223,617) = 0.9865138078388847149 C2(223,617) = 1.468884445365549464 C3(223,617) = 5.285489198890955421 C4(223,617) = 4936 Sum = 4149.405387392278069 Averaged sum = 0.4145674280539792256 logp*logq = 34.74037042138973992 -------------- ************************************* p = 223; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1244947025887435.263 -------------- Searches starting with [223,619]-exponents: u = 19, v = 5 n_start has 59 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(223,619) = 0.5586865467341841146 D2(223,619) = 0.1375765623697876781 C1(223,619) = 0.7862702418405936526 C2(223,619) = 1.905370489097055000 C3(223,619) = 3.769750693877686164 C4(223,619) = 4952 Sum = 4140.436424032701521 Averaged sum = 0.4136713381988911500 logp*logq = 34.75786937443409725 -------------- ************************************* p = 223; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1381146383488997.393 -------------- Searches starting with [223,631]-exponents: u = 31, v = 5 n_start has 87 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(223,631) = 0.9512788359692060596 D2(223,631) = 0.02840127932489934848 C1(223,631) = 1.418810628801019114 C2(223,631) = 1.799955216668484231 C3(223,631) = 10.96341521510374241 C4(223,631) = 5048 Sum = 3002.628932489394293 Averaged sum = 0.2999928996392640916 logp*logq = 34.86169026190218048 -------------- ************************************* p = 223; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1503707977329872.886 -------------- Searches starting with [223,641]-exponents: u = 49, v = 5 n_start has 130 digits starting right neighbors generation We generated 1075 left neighbors We generated 8935 right neighbors We generated 10009 non-negative rho_i D1(223,641) = 0.6095769621975123635 D2(223,641) = 0.008385810794657099514 C1(223,641) = 0.8739260117295476483 C2(223,641) = 1.700820703689337434 C3(223,641) = 4.370807645102498434 C4(223,641) = 5128 Sum = 3920.888903949057363 Averaged sum = 0.3917363276999757581 logp*logq = 34.94671043757666872 -------------- ************************************* p = 223; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1529252154748728.209 -------------- Searches starting with [223,643]-exponents: u = 55, v = 5 n_start has 144 digits starting right neighbors generation We generated 1236 left neighbors We generated 8774 right neighbors We generated 10009 non-negative rho_i D1(223,643) = 0.6418410457654486923 D2(223,643) = 0.03330209705934156273 C1(223,643) = 0.8697230599454679135 C2(223,643) = 1.665115150770063447 C3(223,643) = 4.339913322298281467 C4(223,643) = 5144 Sum = 4230.217207523440148 Averaged sum = 0.4226413435431551751 logp*logq = 34.96355522307342953 -------------- ************************************* p = 223; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1581401981771230.224 -------------- Searches starting with [223,647]-exponents: u = 79, v = 5 n_start has 200 digits starting right neighbors generation We generated 2555 left neighbors We generated 7455 right neighbors We generated 10009 non-negative rho_i D1(223,647) = 0.7906498393320035436 D2(223,647) = 0.01300333948653641541 C1(223,647) = 1.096043215502268278 C2(223,647) = 1.597808401241415511 C3(223,647) = 6.358680118578447580 C4(223,647) = 5176 Sum = 4018.229556697339549 Averaged sum = 0.4014616401935597511 logp*logq = 34.99708817873977001 -------------- ************************************* p = 223; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1662337082162656.818 -------------- Searches starting with [223,653]-exponents: u = 181, v = 5 n_start has 440 digits --- performed 5000 steps in the continued fraction search [223,653]-exponents: u = 16, v = 112 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,653) = 0.5662302480715455929 D2(223,653) = 0.06327112872379485065 C1(223,653) = 0.7500606142016360861 C2(223,653) = 1.409632118136532266 C3(223,653) = 3.546272081562998579 C4(223,653) = 5224 Sum = 4869.899003458084241 Averaged sum = 0.4870386042062290470 logp*logq = 35.04700088796503092 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,653) = 0.5662302480715455929 D2(223,653) = 0.06327112872379485065 C1(223,653) = 0.7500606142016360861 C2(223,653) = 1.409632118136532266 C3(223,653) = 3.546272081562998579 C4(223,653) = 5224 Sum = 4869.899003458084241 Averaged sum = 0.4870386042062290470 logp*logq = 35.04700088796503092 -------------- ************************************* p = 223; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1746616830677835.505 -------------- Searches starting with [223,659]-exponents: u = 6, v = 509 n_start has 1449 digits --- performed 5000 steps in the continued fraction search [223,659]-exponents: u = 217, v = 325 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,659) = 0.6917130243362560333 D2(223,659) = 0.4107030732353605275 C1(223,659) = 0.8736934977054010729 C2(223,659) = 1.470147215941123368 C3(223,659) = 4.369092789236855925 C4(223,659) = 5272 Sum = 5605.891410536135951 Averaged sum = 0.5606452055741710122 logp*logq = 35.09645707211380522 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,659) = 0.6917130243362560333 D2(223,659) = 0.4107030732353605275 C1(223,659) = 0.8736934977054010729 C2(223,659) = 1.470147215941123368 C3(223,659) = 4.369092789236855925 C4(223,659) = 5272 Sum = 5605.891410536135951 Averaged sum = 0.5606452055741710122 logp*logq = 35.09645707211380522 -------------- ************************************* p = 223; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1775471566207904.474 -------------- Searches starting with [223,661]-exponents: u = 6, v = 209 n_start has 604 digits --- performed 5000 steps in the continued fraction search [223,661]-exponents: u = 101, v = 109 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,661) = 0.7193775059509617795 D2(223,661) = 0.1877491363230503805 C1(223,661) = 0.9391084787265734616 C2(223,661) = 1.409126511941001719 C3(223,661) = 4.879086275747909331 C4(223,661) = 5288 Sum = 5068.709162128727874 Averaged sum = 0.5069216083737101584 logp*logq = 35.11284245365679087 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,661) = 0.7193775059509617795 D2(223,661) = 0.1877491363230503805 C1(223,661) = 0.9391084787265734616 C2(223,661) = 1.409126511941001719 C3(223,661) = 4.879086275747909331 C4(223,661) = 5288 Sum = 5068.709162128727874 Averaged sum = 0.5069216083737101584 logp*logq = 35.11284245365679087 -------------- ************************************* p = 223; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1956875628906497.290 -------------- Searches starting with [223,673]-exponents: u = 6, v = 44 n_start has 139 digits starting right neighbors generation We generated 1177 left neighbors We generated 8833 right neighbors We generated 10009 non-negative rho_i D1(223,673) = 0.7042297367006005991 D2(223,673) = 0.02038558570932888387 C1(223,673) = 0.9561216069215661810 C2(223,673) = 1.680501282027470382 C3(223,673) = 5.021212636488662974 C4(223,673) = 5384 Sum = 4428.364426465586245 Averaged sum = 0.4424382482231577825 logp*logq = 35.21012552939223783 -------------- ************************************* p = 223; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2020594404209862.106 -------------- Searches starting with [223,677]-exponents: u = 6, v = 34 n_start has 111 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(223,677) = 0.6832938046028667333 D2(223,677) = 0.007562595530066503114 C1(223,677) = 0.9183902861555535130 C2(223,677) = 1.736574878600406365 C3(223,677) = 4.711429323906589800 C4(223,677) = 5416 Sum = 4336.173661197252856 Averaged sum = 0.4332274614044612704 logp*logq = 35.24216812254779312 -------------- ************************************* p = 223; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2119335034140472.909 -------------- Searches starting with [223,683]-exponents: u = 6, v = 24 n_start has 83 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(223,683) = 0.7717074080181297368 D2(223,683) = 0.06191397510047444796 C1(223,683) = 1.138037447139866541 C2(223,683) = 1.792318131284826702 C3(223,683) = 6.825704719600232846 C4(223,683) = 5464 Sum = 4141.439228399400422 Averaged sum = 0.4137715284643221522 logp*logq = 35.28987877125074792 -------------- ************************************* p = 223; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2257072676998245.072 -------------- Searches starting with [223,691]-exponents: u = 6, v = 19 n_start has 69 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(223,691) = 0.6875863572383872935 D2(223,691) = 0.02512158819874006351 C1(223,691) = 0.9098810692845830919 C2(223,691) = 1.851351744709109394 C3(223,691) = 4.644250949426937594 C4(223,691) = 5528 Sum = 3922.509551700309445 Averaged sum = 0.3918982467479577825 logp*logq = 35.35284509293578031 -------------- ************************************* p = 223; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2439417506918310.636 -------------- Searches starting with [223,701]-exponents: u = 6, v = 14 n_start has 54 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(223,701) = 0.5848549406797944661 D2(223,701) = 0.08829061828463266865 C1(223,701) = 0.7978285571236569380 C2(223,701) = 1.916920084653302767 C3(223,701) = 3.844010188535378764 C4(223,701) = 5608 Sum = 4184.073313810041337 Averaged sum = 0.4180311033879549743 logp*logq = 35.43053567904322424 -------------- ************************************* p = 223; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2593784276890704.321 -------------- Searches starting with [223,709]-exponents: u = 6, v = 14 n_start has 54 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(223,709) = 0.7882948853372402326 D2(223,709) = 0.1091862960810804157 C1(223,709) = 1.257927254931421843 C2(223,709) = 1.313699720671580912 C3(223,709) = 8.356475593433255597 C4(223,709) = 5672 Sum = 3936.690378061655088 Averaged sum = 0.3933150542573339083 logp*logq = 35.49189431500701440 -------------- ************************************* p = 223; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2797846055179436.735 -------------- Searches starting with [223,719]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(223,719) = 0.7845301173963789796 D2(223,719) = 0.1165836853921260425 C1(223,719) = 1.062073514409085891 C2(223,719) = 1.870684922386087705 C3(223,719) = 6.004380423788378042 C4(223,719) = 5752 Sum = 4369.512565553704048 Averaged sum = 0.4365583540367373411 logp*logq = 35.56762625004757395 -------------- ************************************* p = 223; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2970353171282361.518 -------------- Searches starting with [223,727]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(223,727) = 0.6936883222225441409 D2(223,727) = 0.005974049702972310546 C1(223,727) = 0.9181888712942625621 C2(223,727) = 1.985567604963364460 C3(223,727) = 4.709828025153151525 C4(223,727) = 5816 Sum = 3896.126048385023077 Averaged sum = 0.3892622687965853808 logp*logq = 35.62745725354540030 -------------- ************************************* p = 223; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3105341261837927.950 -------------- Searches starting with [223,733]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(223,733) = 0.6746108017722026872 D2(223,733) = 0.02145085116083823275 C1(223,733) = 0.9515734009411012345 C2(223,733) = 2.002548547831078898 C3(223,733) = 4.982816728577761841 C4(223,733) = 5864 Sum = 3602.893372241535484 Averaged sum = 0.3599653683926002083 logp*logq = 35.67190001145095388 -------------- ************************************* p = 223; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3245287893492142.619 -------------- Searches starting with [223,739]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(223,739) = 0.8448832718056475824 D2(223,739) = 0.03304610697973648058 C1(223,739) = 1.439673126036149251 C2(223,739) = 1.265282286414405393 C3(223,739) = 11.35631552305828500 C4(223,739) = 5912 Sum = 4245.108862330981002 Averaged sum = 0.4241291699801159958 logp*logq = 35.71598046023532767 -------------- ************************************* p = 223; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3341409245495177.575 -------------- Searches starting with [223,743]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(223,743) = 0.9898194707403391438 D2(223,743) = 0.02762555926248508168 C1(223,743) = 1.686490527001388482 C2(223,743) = 1.163865055595111739 C3(223,743) = 17.22452450838092899 C4(223,743) = 5944 Sum = 3773.976968522281325 Averaged sum = 0.3770583443423200444 logp*logq = 35.74516904270092628 -------------- ************************************* p = 223; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3540618157609296.153 -------------- Searches starting with [223,751]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(223,751) = 0.6877939494055521185 D2(223,751) = 0.01375125235367596636 C1(223,751) = 0.9713088895891381275 C2(223,751) = 2.035699866173960219 C3(223,751) = 5.151579878322703653 C4(223,751) = 6008 Sum = 4375.579153428066884 Averaged sum = 0.4371644673222166933 logp*logq = 35.80307772760551869 -------------- ************************************* p = 223; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3696289400929302.804 -------------- Searches starting with [223,757]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(223,757) = 0.8313840746151695376 D2(223,757) = 0.07344372560046427543 C1(223,757) = 1.101876519060515167 C2(223,757) = 1.727794388970107649 C3(223,757) = 6.421590615321816249 C4(223,757) = 6056 Sum = 4103.927080754342958 Averaged sum = 0.4100236867573526783 logp*logq = 35.84610584674198613 -------------- ************************************* p = 223; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3803135323645989.756 -------------- Searches starting with [223,761]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(223,761) = 0.6893801942369582083 D2(223,761) = 0.08349174181352012856 C1(223,761) = 1.042420020625079881 C2(223,761) = 1.738663551512991658 C3(223,761) = 5.808483710450046299 C4(223,761) = 6088 Sum = 3854.900166884686557 Averaged sum = 0.3851433876395930220 logp*logq = 35.87460220661736784 -------------- ************************************* p = 223; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4024384235446061.507 -------------- Searches starting with [223,769]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(223,769) = 0.7131080438415622708 D2(223,769) = 0.1123250692118082206 C1(223,769) = 0.9733325169564496063 C2(223,769) = 1.894135765282883410 C3(223,769) = 5.169204297335328003 C4(223,769) = 6152 Sum = 4391.163130846378758 Averaged sum = 0.4387214637672473531 logp*logq = 35.93114830909547093 -------------- ************************************* p = 223; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4138878051034324.443 -------------- Searches starting with [223,773]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(223,773) = 0.7818687514611900853 D2(223,773) = 0.1221765948049038015 C1(223,773) = 1.064263079723321012 C2(223,773) = 1.469039493459346753 C3(223,773) = 6.026609979452199276 C4(223,773) = 6184 Sum = 4164.816144013002870 Averaged sum = 0.4161071179951046927 logp*logq = 35.95920114385456360 -------------- ************************************* p = 223; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4560713842055136.820 -------------- Searches starting with [223,787]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(223,787) = 0.7512013213489392094 D2(223,787) = 0.07488645953273546093 C1(223,787) = 1.102318308569030231 C2(223,787) = 1.969867242843384024 C3(223,787) = 6.426380465392046578 C4(223,787) = 6296 Sum = 3520.705071003284082 Averaged sum = 0.3517539285646202500 logp*logq = 36.05625555049553506 -------------- ************************************* p = 223; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4882964102227654.121 -------------- Searches starting with [223,797]-exponents: u = 21, v = 4 n_start has 61 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(223,797) = 0.8934159915664505275 D2(223,797) = 0.01965668548976089058 C1(223,797) = 1.161351907111285169 C2(223,797) = 1.917218727455077744 C3(223,797) = 7.099639554487482458 C4(223,797) = 6376 Sum = 3620.960587100570116 Averaged sum = 0.3617704652912948463 logp*logq = 36.12452882838170975 -------------- ************************************* p = 223; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5293917377061359.825 -------------- Searches starting with [223,809]-exponents: u = 26, v = 4 n_start has 73 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(223,809) = 1.060712099703260718 D2(223,809) = 0.07347849921401381755 C1(223,809) = 1.381550497632795208 C2(223,809) = 1.881377995829089967 C3(223,809) = 10.29521208886972464 C4(223,809) = 6472 Sum = 3623.089821137350585 Averaged sum = 0.3619831972362224583 logp*logq = 36.20533489169190931 -------------- ************************************* p = 223; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5365070651574068.421 -------------- Searches starting with [223,811]-exponents: u = 26, v = 4 n_start has 73 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(223,811) = 0.7332346929344576758 D2(223,811) = 0.05777136284464672170 C1(223,811) = 1.013286983947224559 C2(223,811) = 1.866158036682526563 C3(223,811) = 5.529796241763474939 C4(223,811) = 6488 Sum = 4167.405528540906012 Averaged sum = 0.4163658236128390460 logp*logq = 36.21868593988595991 -------------- ************************************* p = 223; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5732631840425009.014 -------------- Searches starting with [223,821]-exponents: u = 31, v = 4 n_start has 85 digits starting right neighbors generation We generated 304 left neighbors We generated 9706 right neighbors We generated 10009 non-negative rho_i D1(223,821) = 0.6028764244309542459 D2(223,821) = 0.07182217109127878028 C1(223,821) = 0.8090778057600209118 C2(223,821) = 1.813986258299001601 C3(223,821) = 3.917688427542038137 C4(223,821) = 6568 Sum = 4251.984760213190302 Averaged sum = 0.4248161414939744531 logp*logq = 36.28495112916195071 -------------- ************************************* p = 223; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5808549456492943.861 -------------- Searches starting with [223,823]-exponents: u = 36, v = 4 n_start has 97 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(223,823) = 0.7653107856119432479 D2(223,823) = 0.05240888553785318113 C1(223,823) = 1.125748408393427073 C2(223,823) = 1.795038977413198694 C3(223,823) = 6.685593977993332281 C4(223,823) = 6584 Sum = 2829.517453817632444 Averaged sum = 0.2826973177957470720 logp*logq = 36.29810727134922005 -------------- ************************************* p = 223; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5962843819523233.803 -------------- Searches starting with [223,827]-exponents: u = 36, v = 4 n_start has 97 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(223,827) = 0.9321147552548230119 D2(223,827) = 0.01663019201138445578 C1(223,827) = 1.355741075835346923 C2(223,827) = 1.760188881847927578 C3(223,827) = 9.856387326889534946 C4(223,827) = 6616 Sum = 4885.784026964875054 Averaged sum = 0.4881390775267134632 logp*logq = 36.32432391311435581 -------------- ************************************* p = 223; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6041234182560575.857 -------------- Searches starting with [223,829]-exponents: u = 41, v = 4 n_start has 108 digits starting right neighbors generation We generated 642 left neighbors We generated 9368 right neighbors We generated 10009 non-negative rho_i D1(223,829) = 0.7734500026524305764 D2(223,829) = 0.000004655126926505020371 C1(223,829) = 1.065748250746732047 C2(223,829) = 1.744025949287701610 C3(223,829) = 6.041734999089032681 C4(223,829) = 6632 Sum = 4436.115758919374845 Averaged sum = 0.4432126844759091663 logp*logq = 36.33738472084490703 -------------- ************************************* p = 223; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6445893727138127.065 -------------- Searches starting with [223,839]-exponents: u = 61, v = 4 n_start has 155 digits starting right neighbors generation We generated 1318 left neighbors We generated 8692 right neighbors We generated 10009 non-negative rho_i D1(223,839) = 0.5608430314410381105 D2(223,839) = 0.003838371000118872411 C1(223,839) = 0.7562435506222497641 C2(223,839) = 1.652579216009222472 C3(223,839) = 3.583471550926156315 C4(223,839) = 6712 Sum = 4103.849038532095815 Averaged sum = 0.4100158895526122305 logp*logq = 36.40221969153106081 -------------- ************************************* p = 223; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7049281682727263.182 -------------- Searches starting with [223,853]-exponents: u = 161, v = 4 n_start has 390 digits --- performed 5000 steps in the continued fraction search [223,853]-exponents: u = 101, v = 16 --- starting right neighbors generation We generated 8298 left neighbors We generated 1712 right neighbors We generated 10009 non-negative rho_i D1(223,853) = 0.7649307376280340976 D2(223,853) = 0.001523007357043017470 C1(223,853) = 1.017473433294038979 C2(223,853) = 1.431541859736428819 C3(223,853) = 5.569005816435585131 C4(223,853) = 6824 Sum = 4750.715553732966455 Averaged sum = 0.4746443754354047811 logp*logq = 36.49170211756897205 -------------- ************************************* p = 223; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7229880291487434.384 -------------- Searches starting with [223,857]-exponents: u = 301, v = 4 n_start has 719 digits --- performed 5000 steps in the continued fraction search [223,857]-exponents: u = 16, v = 215 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,857) = 0.5287966239207302499 D2(223,857) = 0.1938949772095707344 C1(223,857) = 0.6851741711832042291 C2(223,857) = 1.410090016659834830 C3(223,857) = 3.178426888882187161 C4(223,857) = 6856 Sum = 5143.531863252497103 Averaged sum = 0.5144046267879285031 logp*logq = 36.51699887375029425 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,857) = 0.5287966239207302499 D2(223,857) = 0.1938949772095707344 C1(223,857) = 0.6851741711832042291 C2(223,857) = 1.410090016659834830 C3(223,857) = 3.178426888882187161 C4(223,857) = 6856 Sum = 5143.531863252497103 Averaged sum = 0.5144046267879285031 logp*logq = 36.51699887375029425 -------------- ************************************* p = 223; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7321583388969753.720 -------------- Searches starting with [223,859]-exponents: u = 526, v = 4 n_start has 1247 digits **************************************************** Computing .... elapsed time = 27 minutes **************************************************** --- performed 5000 steps in the continued fraction search [223,859]-exponents: u = 18, v = 401 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,859) = 0.6354632427814960285 D2(223,859) = 0.3308112516944908240 C1(223,859) = 0.8066422354169258268 C2(223,859) = 1.446413283565006579 C3(223,859) = 3.901617525154460155 C4(223,859) = 6872 Sum = 5472.699276520156785 Averaged sum = 0.5473246601180274812 logp*logq = 36.52960300946082296 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,859) = 0.6354632427814960285 D2(223,859) = 0.3308112516944908240 C1(223,859) = 0.8066422354169258268 C2(223,859) = 1.446413283565006579 C3(223,859) = 3.901617525154460155 C4(223,859) = 6872 Sum = 5472.699276520156785 Averaged sum = 0.5473246601180274812 logp*logq = 36.52960300946082296 -------------- ************************************* p = 223; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7507834580728486.037 -------------- Searches starting with [223,863]-exponents: u = 5, v = 931 n_start has 2746 digits --- performed 5000 steps in the continued fraction search [223,863]-exponents: u = 566, v = 478 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,863) = 0.7183651268843501726 D2(223,863) = 0.4917971790492154213 C1(223,863) = 0.8901029949805922606 C2(223,863) = 1.502596988839986591 C3(223,863) = 4.491784789328433315 C4(223,863) = 6904 Sum = 5884.113486359581896 Averaged sum = 0.5884701956555237419 logp*logq = 36.55472348099059061 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(223,863) = 0.7183651268843501726 D2(223,863) = 0.4917971790492154213 C1(223,863) = 0.8901029949805922606 C2(223,863) = 1.502596988839986591 C3(223,863) = 4.491784789328433315 C4(223,863) = 6904 Sum = 5884.113486359581896 Averaged sum = 0.5884701956555237419 logp*logq = 36.55472348099059061 -------------- ************************************* p = 223; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8190385147747779.050 -------------- Searches starting with [223,877]-exponents: u = 5, v = 75 n_start has 233 digits starting right neighbors generation We generated 2886 left neighbors We generated 7124 right neighbors We generated 10009 non-negative rho_i D1(223,877) = 0.5352575661897201855 D2(223,877) = 0.009026946104290857783 C1(223,877) = 0.7318505248118884370 C2(223,877) = 1.556086256953571939 C3(223,877) = 3.438940016922164140 C4(223,877) = 7016 Sum = 4467.889570676858537 Averaged sum = 0.4463872085799638862 logp*logq = 36.64173731825697845 -------------- ************************************* p = 223; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8394418164109709.342 -------------- Searches starting with [223,881]-exponents: u = 5, v = 59 n_start has 186 digits starting right neighbors generation We generated 1828 left neighbors We generated 8182 right neighbors We generated 10009 non-negative rho_i D1(223,881) = 0.7134895549287486429 D2(223,881) = 0.009615601423455754821 C1(223,881) = 0.9528677971244443901 C2(223,881) = 1.611829044721694496 C3(223,881) = 4.993714020559898335 C4(223,881) = 7048 Sum = 4388.889148091135813 Averaged sum = 0.4384942699661440516 logp*logq = 36.66634337560647910 -------------- ************************************* p = 223; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8497977095681429.645 -------------- Searches starting with [223,883]-exponents: u = 5, v = 55 n_start has 174 digits starting right neighbors generation We generated 1518 left neighbors We generated 8492 right neighbors We generated 10009 non-negative rho_i D1(223,883) = 0.7463406323410054842 D2(223,883) = 0.03677481344932521886 C1(223,883) = 1.043836258252330774 C2(223,883) = 1.639309716580266193 C3(223,883) = 5.822383877660922629 C4(223,883) = 7064 Sum = 3694.458184291981497 Averaged sum = 0.3691136161746409729 logp*logq = 36.67860454133977991 -------------- ************************************* p = 223; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8708219784931100.821 -------------- Searches starting with [223,887]-exponents: u = 5, v = 43 n_start has 139 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(223,887) = 0.8994970593442249497 D2(223,887) = 0.002123783802577136570 C1(223,887) = 1.271806266848242713 C2(223,887) = 1.678728388164288230 C3(223,887) = 8.554527972675913639 C4(223,887) = 7096 Sum = 5101.337008176603702 Averaged sum = 0.5096749933236690680 logp*logq = 36.70304377739156741 -------------- ************************************* p = 223; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9824051571904607.572 -------------- Searches starting with [223,907]-exponents: u = 5, v = 23 n_start has 80 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(223,907) = 0.6695937736924876744 D2(223,907) = 0.04654675652000066143 C1(223,907) = 0.9900632585228351300 C2(223,907) = 1.834735178587908571 C3(223,907) = 5.317246953821486148 C4(223,907) = 7256 Sum = 3938.247867063727372 Averaged sum = 0.3934706631095741205 logp*logq = 36.82361001588481663 -------------- ************************************* p = 223; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10060607943020132.79 -------------- Searches starting with [223,911]-exponents: u = 5, v = 23 n_start has 80 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(223,911) = 1.015108449052845969 D2(223,911) = 0.07790443548314337136 C1(223,911) = 1.393990626764246056 C2(223,911) = 1.866780442441275769 C3(223,911) = 10.51365063209428573 C4(223,911) = 7288 Sum = 4658.937912390653114 Averaged sum = 0.4654748638615898804 logp*logq = 36.84740398946809890 -------------- ************************************* p = 223; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10547656625949869.79 -------------- Searches starting with [223,919]-exponents: u = 5, v = 19 n_start has 69 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(223,919) = 1.090684490110784678 D2(223,919) = 0.02105451340487532637 C1(223,919) = 1.554322978732235555 C2(223,919) = 1.890003100268104028 C3(223,919) = 13.78073470120350211 C4(223,919) = 7352 Sum = 5006.252939020729816 Averaged sum = 0.5001751362794215023 logp*logq = 36.89468010939724498 -------------- ************************************* p = 223; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11183320874467643.74 -------------- Searches starting with [223,929]-exponents: u = 5, v = 15 n_start has 57 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(223,929) = 0.9266037644810285808 D2(223,929) = 0.07762949959115253467 C1(223,929) = 1.273290117251384391 C2(223,929) = 1.948342500746785109 C3(223,929) = 8.575978208889673699 C4(223,929) = 7432 Sum = 4816.351449098240089 Averaged sum = 0.4812020630530762403 logp*logq = 36.95319985560310128 -------------- ************************************* p = 223; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11714032590541605.42 -------------- Searches starting with [223,937]-exponents: u = 5, v = 15 n_start has 57 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(223,937) = 0.9098669427466550490 D2(223,937) = 0.1298282862761447975 C1(223,937) = 1.219287711230520510 C2(223,937) = 2.001938983638311844 C3(223,937) = 7.828913890311292492 C4(223,937) = 7496 Sum = 4180.450656931807579 Averaged sum = 0.4176691634460792865 logp*logq = 36.99956388476166909 -------------- ************************************* p = 223; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11986982511254695.93 -------------- Searches starting with [223,941]-exponents: u = 5, v = 15 n_start has 57 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(223,941) = 0.9347367909363540250 D2(223,941) = 0.1225691104429201049 C1(223,941) = 1.228733650988351713 C2(223,941) = 1.389976419735126314 C3(223,941) = 7.954723863452753655 C4(223,941) = 7528 Sum = 4058.833955218637151 Averaged sum = 0.4055184289358214758 logp*logq = 37.02259766515858439 -------------- ************************************* p = 223; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12406108882820859.70 -------------- Searches starting with [223,947]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(223,947) = 0.9741454841648739021 D2(223,947) = 0.0007536550547777535508 C1(223,947) = 1.324597182976379920 C2(223,947) = 1.985099608224531354 C3(223,947) = 9.351692484805170843 C4(223,947) = 7576 Sum = 4733.991461116345959 Averaged sum = 0.4729734699886448155 logp*logq = 37.05696539804899220 -------------- ************************************* p = 223; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12837103326874921.58 -------------- Searches starting with [223,953]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(223,953) = 0.6794961523038492634 D2(223,953) = 0.02088269688636588375 C1(223,953) = 0.9376330234306375631 C2(223,953) = 2.006322815459612876 C3(223,953) = 4.866951663037610505 C4(223,953) = 7624 Sum = 4346.047547720787513 Averaged sum = 0.4342139622060932673 logp*logq = 37.09111607012612390 -------------- ************************************* p = 223; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13890368150324369.72 -------------- Searches starting with [223,967]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(223,967) = 0.7936752112013361231 D2(223,967) = 0.07143811797865049087 C1(223,967) = 1.056330675207195441 C2(223,967) = 2.059404257198073214 C3(223,967) = 5.946465048026006519 C4(223,967) = 7736 Sum = 3938.530202212165912 Averaged sum = 0.3934988712371031983 logp*logq = 37.16997205602867261 -------------- ************************************* p = 223; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14203896371407231.83 -------------- Searches starting with [223,971]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(223,971) = 0.7464890611185993242 D2(223,971) = 0.07110596228039004568 C1(223,971) = 1.223975472304234359 C2(223,971) = 1.368097987259812234 C3(223,971) = 7.891099242552445746 C4(223,971) = 7768 Sum = 4064.165483836978433 Averaged sum = 0.4060511023915454524 logp*logq = 37.19229271423182570 -------------- ************************************* p = 223; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14684984233582259.61 -------------- Searches starting with [223,977]-exponents: u = 14, v = 7 n_start has 54 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(223,977) = 0.8153244092855010008 D2(223,977) = 0.06990749709216817883 C1(223,977) = 1.336739512273373624 C2(223,977) = 1.317000074177078387 C3(223,977) = 9.545313187839735796 C4(223,977) = 7816 Sum = 4032.427188407931931 Averaged sum = 0.4028801267267391279 logp*logq = 37.22560188591971577 -------------- ************************************* p = 223; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15179270705762377.06 -------------- Searches starting with [223,983]-exponents: u = 14, v = 7 n_start has 54 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(223,983) = 0.7656218106199753026 D2(223,983) = 0.07773515191113983360 C1(223,983) = 1.025623523869028634 C2(223,983) = 1.980083436700710620 C3(223,983) = 5.646137427712285744 C4(223,983) = 7864 Sum = 4059.752920903076347 Averaged sum = 0.4056102428717230840 logp*logq = 37.25870712262540486 -------------- ************************************* p = 223; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15859331963485049.63 -------------- Searches starting with [223,991]-exponents: u = 14, v = 7 n_start has 54 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(223,991) = 1.120650985289800715 D2(223,991) = 0.06131051075055318386 C1(223,991) = 1.644439934948435368 C2(223,991) = 1.965201915920547112 C3(223,991) = 16.04447136125875559 C4(223,991) = 7928 Sum = 4099.571203053981631 Averaged sum = 0.4095884906638007424 logp*logq = 37.30253448939074943 -------------- ************************************* p = 223; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16385504260127498.61 -------------- Searches starting with [223,997]-exponents: u = 14, v = 7 n_start has 54 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(223,997) = 0.7033584114715159695 D2(223,997) = 0.04953752335083232964 C1(223,997) = 0.9719981993909810187 C2(223,997) = 1.954577980315623240 C3(223,997) = 5.157576539697051640 C4(223,997) = 7976 Sum = 4050.192644297657961 Averaged sum = 0.4046550748623896454 logp*logq = 37.33517345230517232 -------------- ************************************* p = 227; q = 229; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6338544463753.915252 -------------- Searches starting with [227,229]-exponents: u = 1, v = 618 n_start has 1461 digits --- performed 5000 steps in the continued fraction search [227,229]-exponents: u = 84, v = 527 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,229) = 0.6841235747880692775 D2(227,229) = 0.2385216313644500150 C1(227,229) = 0.8640924871209881869 C2(227,229) = 1.166698168720017890 C3(227,229) = 4.311077622315665820 C4(227,229) = 1832 Sum = 5832.192322734267670 Averaged sum = 0.5832775600294297100 logp*logq = 29.47767027817065475 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,229) = 0.6841235747880692775 D2(227,229) = 0.2385216313644500150 C1(227,229) = 0.8640924871209881869 C2(227,229) = 1.166698168720017890 C3(227,229) = 4.311077622315665820 C4(227,229) = 1832 Sum = 5832.192322734267670 Averaged sum = 0.5832775600294297100 logp*logq = 29.47767027817065475 -------------- ************************************* p = 227; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6962858109947.589333 -------------- Searches starting with [227,233]-exponents: u = 1, v = 207 n_start has 493 digits --- performed 5000 steps in the continued fraction search [227,233]-exponents: u = 125, v = 58 --- starting right neighbors generation We generated 5291 left neighbors We generated 4719 right neighbors We generated 10009 non-negative rho_i D1(227,233) = 0.9297341943904401533 D2(227,233) = 0.004761710330650851787 C1(227,233) = 1.224022893721197204 C2(227,233) = 1.096165229846387705 C3(227,233) = 7.923502517811282285 C4(227,233) = 1864 Sum = 5275.433249412098871 Averaged sum = 0.5270689628746227266 logp*logq = 29.57161115396304548 -------------- ************************************* p = 227; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7992630469889.231635 -------------- Searches starting with [227,239]-exponents: u = 1, v = 105 n_start has 253 digits starting right neighbors generation We generated 1499 left neighbors We generated 8511 right neighbors We generated 10009 non-negative rho_i D1(227,239) = 0.6492074537582771495 D2(227,239) = 0.002401136782454180828 C1(227,239) = 0.8846178414872184810 C2(227,239) = 1.216737970153905338 C3(227,239) = 4.463335934230756559 C4(227,239) = 1912 Sum = 4464.429372838900457 Averaged sum = 0.4460414999339494912 logp*logq = 29.70954104178711338 -------------- ************************************* p = 227; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8362254805387.335213 -------------- Searches starting with [227,241]-exponents: u = 1, v = 90 n_start has 217 digits starting right neighbors generation We generated 1037 left neighbors We generated 8973 right neighbors We generated 10009 non-negative rho_i D1(227,241) = 0.6192038278363439703 D2(227,241) = 0.01893782286048657592 C1(227,241) = 0.8507668550421219194 C2(227,241) = 1.262236662135988445 C3(227,241) = 4.215019179125810538 C4(227,241) = 1928 Sum = 4869.633870426404847 Averaged sum = 0.4865255140799685130 logp*logq = 29.75474922022207260 -------------- ************************************* p = 227; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10425814590472.84876 -------------- Searches starting with [227,251]-exponents: u = 1, v = 53 n_start has 130 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(227,251) = 1.073062427350970694 D2(227,251) = 0.03477720282486197673 C1(227,251) = 1.525871764986139039 C2(227,251) = 1.397523232658245772 C3(227,251) = 13.20060165316777714 C4(227,251) = 2008 Sum = 6025.492062929186184 Averaged sum = 0.6020073996332486945 logp*logq = 29.97530601873563878 -------------- ************************************* p = 227; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11851320403500.44985 -------------- Searches starting with [227,257]-exponents: u = 1, v = 43 n_start has 106 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(227,257) = 0.6431886036409466194 D2(227,257) = 0.04307234590092833098 C1(227,257) = 0.8652542364657129687 C2(227,257) = 1.461752594227406392 C3(227,257) = 4.319555180493634165 C4(227,257) = 2056 Sum = 4483.991261059555519 Averaged sum = 0.4479959297691633050 logp*logq = 30.10346040375795616 -------------- ************************************* p = 227; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13431947327429.24708 -------------- Searches starting with [227,263]-exponents: u = 1, v = 36 n_start has 90 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(227,263) = 0.7176960539332883972 D2(227,263) = 0.05178725581625672211 C1(227,263) = 1.051332209293059728 C2(227,263) = 1.519215545829727807 C3(227,263) = 5.916895471846397361 C4(227,263) = 2104 Sum = 4454.627265481487331 Averaged sum = 0.4450621705946135809 logp*logq = 30.22865711427183221 -------------- ************************************* p = 227; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15180450984436.66066 -------------- Searches starting with [227,269]-exponents: u = 1, v = 31 n_start has 78 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(227,269) = 0.9447168577472132529 D2(227,269) = 0.008607733424067815001 C1(227,269) = 1.401608308485795597 C2(227,269) = 1.527031366109357458 C3(227,269) = 10.69880255055772584 C4(227,269) = 2152 Sum = 5027.683763501847904 Averaged sum = 0.5023162916876658911 logp*logq = 30.35102959657439954 -------------- ************************************* p = 227; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15802900187124.61227 -------------- Searches starting with [227,271]-exponents: u = 1, v = 30 n_start has 76 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(227,271) = 0.5907878358526696954 D2(227,271) = 0.02118660243393466315 C1(227,271) = 0.8101673636265717721 C2(227,271) = 1.551688353686912828 C3(227,271) = 3.935350888380185366 C4(227,271) = 2168 Sum = 4546.686949219325441 Averaged sum = 0.4542598610469902529 logp*logq = 30.39121459526422834 -------------- ************************************* p = 227; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17796338832558.91763 -------------- Searches starting with [227,277]-exponents: u = 1, v = 27 n_start has 69 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(227,277) = 1.018908146615937855 D2(227,277) = 0.01912992373896835384 C1(227,277) = 1.383376527603867699 C2(227,277) = 1.589629790115061261 C3(227,277) = 10.37399012686567011 C4(227,277) = 2216 Sum = 4784.283092073526438 Averaged sum = 0.4779981109075358615 logp*logq = 30.51001386850671667 -------------- ************************************* p = 227; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19235761910278.11843 -------------- Searches starting with [227,281]-exponents: u = 1, v = 25 n_start has 64 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(227,281) = 0.5956648693156400768 D2(227,281) = 0.08036538924098621826 C1(227,281) = 0.8493677430336848298 C2(227,281) = 1.666729000548839360 C3(227,281) = 4.205058608299688705 C4(227,281) = 2248 Sum = 4281.629524416791809 Averaged sum = 0.4277779522846230201 logp*logq = 30.58779226196845249 -------------- ************************************* p = 227; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19990279494520.80774 -------------- Searches starting with [227,283]-exponents: u = 1, v = 24 n_start has 62 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(227,283) = 0.8582641565392318408 D2(227,283) = 0.05275782003819066877 C1(227,283) = 1.157383005759575988 C2(227,283) = 1.654802979075329635 C3(227,283) = 7.079085380301231947 C4(227,283) = 2264 Sum = 4521.525337971243324 Averaged sum = 0.4517459624309364895 logp*logq = 30.62626724606001245 -------------- ************************************* p = 227; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24134235162951.92450 -------------- Searches starting with [227,293]-exponents: u = 1, v = 21 n_start has 55 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(227,293) = 0.8306792816759604853 D2(227,293) = 0.05350928156569893945 C1(227,293) = 1.143622807493764517 C2(227,293) = 1.711043353620249071 C3(227,293) = 6.916266500590790717 C4(227,293) = 2344 Sum = 4799.529163684054059 Averaged sum = 0.4795213471559650374 logp*logq = 30.81465249458452392 -------------- ************************************* p = 227; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31088614921214.70011 -------------- Searches starting with [227,307]-exponents: u = 1, v = 17 n_start has 45 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(227,307) = 1.010248145097771193 D2(227,307) = 0.04602038989726416700 C1(227,307) = 1.590439618067644104 C2(227,307) = 1.773934158691420362 C3(227,307) = 14.72353462913355689 C4(227,307) = 2456 Sum = 4261.845379266023166 Averaged sum = 0.4258013167415349351 logp*logq = 31.06786278838649673 -------------- ************************************* p = 227; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33350359213990.35731 -------------- Searches starting with [227,311]-exponents: u = 1, v = 17 n_start has 45 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(227,311) = 0.6190155969549074574 D2(227,311) = 0.1608931222270605159 C1(227,311) = 0.8629896434617588418 C2(227,311) = 1.426378492920405328 C3(227,311) = 4.303045307298933819 C4(227,311) = 2488 Sum = 4087.950214351995301 Averaged sum = 0.4084274367421316116 logp*logq = 31.13808965926636738 -------------- ************************************* p = 227; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34530534239932.65131 -------------- Searches starting with [227,313]-exponents: u = 1, v = 16 n_start has 43 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(227,313) = 0.7566581357035112947 D2(227,313) = 0.04090235291970027933 C1(227,313) = 1.008461650620922222 C2(227,313) = 1.796873974632584546 C3(227,313) = 5.503132143127913087 C4(227,313) = 2504 Sum = 4391.562365523828234 Averaged sum = 0.4387613513361802612 logp*logq = 31.17286509897249602 -------------- ************************************* p = 227; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36993164892380.57726 -------------- Searches starting with [227,317]-exponents: u = 1, v = 16 n_start has 43 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(227,317) = 0.8352911237654829025 D2(227,317) = 0.1486564458095843645 C1(227,317) = 1.168887962698647281 C2(227,317) = 1.906606701720663775 C3(227,317) = 7.218157294082166627 C4(227,317) = 2536 Sum = 4252.756757011446015 Averaged sum = 0.4248932717565636942 logp*logq = 31.24175427886923434 -------------- ************************************* p = 227; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46767151525501.46936 -------------- Searches starting with [227,331]-exponents: u = 1, v = 14 n_start has 38 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(227,331) = 0.5710404264354261831 D2(227,331) = 0.08751600228047019981 C1(227,331) = 0.7933418942476861411 C2(227,331) = 1.910612354896375251 C3(227,331) = 3.824960093505808461 C4(227,331) = 2648 Sum = 4438.522229697858543 Averaged sum = 0.4434531151661363316 logp*logq = 31.47620218193096507 -------------- ************************************* p = 227; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51554416393475.40051 -------------- Searches starting with [227,337]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(227,337) = 0.5911202090184362968 D2(227,337) = 0.004634961034322861059 C1(227,337) = 0.8362655747401187539 C2(227,337) = 1.865000724662568414 C3(227,337) = 4.112916348410631502 C4(227,337) = 2696 Sum = 4290.806339106945202 Averaged sum = 0.4286948085829698473 logp*logq = 31.57365899475825804 -------------- ************************************* p = 227; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60417176961998.56609 -------------- Searches starting with [227,347]-exponents: u = 1, v = 12 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(227,347) = 0.5883916267667339327 D2(227,347) = 0.1299797656917198258 C1(227,347) = 0.7948073559902274556 C2(227,347) = 1.746680386913536030 C3(227,347) = 3.834450514051434203 C4(227,347) = 2776 Sum = 4431.132119294134655 Averaged sum = 0.4427147686376395899 logp*logq = 31.73229456722711563 -------------- ************************************* p = 227; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62330533544441.99592 -------------- Searches starting with [227,349]-exponents: u = 1, v = 12 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(227,349) = 0.6083740709734268864 D2(227,349) = 0.1265972913283622682 C1(227,349) = 0.8521901278282021568 C2(227,349) = 1.744315189222851760 C3(227,349) = 4.225175964292333305 C4(227,349) = 2792 Sum = 4344.224130069252041 Averaged sum = 0.4340317844009643362 logp*logq = 31.76347252670692720 -------------- ************************************* p = 227; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66305634074847.17131 -------------- Searches starting with [227,353]-exponents: u = 1, v = 12 n_start has 33 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(227,353) = 0.8829340118653801628 D2(227,353) = 0.06422778334397779424 C1(227,353) = 1.212336987262577173 C2(227,353) = 1.971025799211381844 C3(227,353) = 7.768463335021651038 C4(227,353) = 2824 Sum = 4671.722570753827624 Averaged sum = 0.4667521801132808097 logp*logq = 31.82529598801437868 -------------- ************************************* p = 227; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72654024073862.11674 -------------- Searches starting with [227,359]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(227,359) = 0.8690686870145722903 D2(227,359) = 0.1124849707000276811 C1(227,359) = 1.207391152553519774 C2(227,359) = 1.764600464252794317 C3(227,359) = 7.703763120215995021 C4(227,359) = 2872 Sum = 4231.446775795913526 Averaged sum = 0.4227641898087634654 logp*logq = 31.91672989427821621 -------------- ************************************* p = 227; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81881390671228.72367 -------------- Searches starting with [227,367]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(227,367) = 0.6184226645859432154 D2(227,367) = 0.03684515674405043237 C1(227,367) = 0.8531976287081691325 C2(227,367) = 1.994650591478226731 C3(227,367) = 4.232380501320586571 C4(227,367) = 2936 Sum = 4269.555595946965675 Averaged sum = 0.4265716451140938830 logp*logq = 32.03629286083764940 -------------- ************************************* p = 227; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89411189383402.19641 -------------- Searches starting with [227,373]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(227,373) = 0.8566852236231486566 D2(227,373) = 0.07965247309738218182 C1(227,373) = 1.143923198917111406 C2(227,373) = 1.256897046868082920 C3(227,373) = 6.919780610933812752 C4(227,373) = 2984 Sum = 4382.541399449664814 Averaged sum = 0.4378600658856693790 logp*logq = 32.12426695116421395 -------------- ************************************* p = 227; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97496455512966.18424 -------------- Searches starting with [227,379]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(227,379) = 1.049579099600142600 D2(227,379) = 0.08482173994283438760 C1(227,379) = 1.409262391754420553 C2(227,379) = 1.780323410522392328 C3(227,379) = 10.83817848370556665 C4(227,379) = 3032 Sum = 4273.165365662739969 Averaged sum = 0.4269322974985253241 logp*logq = 32.21083713955837012 -------------- ************************************* p = 227; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103210583657208.8789 -------------- Searches starting with [227,383]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(227,383) = 0.6609362689390394489 D2(227,383) = 0.07279696949906772613 C1(227,383) = 0.9087047862392671982 C2(227,383) = 1.630742306483517386 C3(227,383) = 4.648886304735019210 C4(227,383) = 3064 Sum = 4327.034018399523695 Averaged sum = 0.4323143189528947642 logp*logq = 32.26779251853554024 -------------- ************************************* p = 227; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112291565097880.7165 -------------- Searches starting with [227,389]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(227,389) = 0.8856595284752519152 D2(227,389) = 0.05019583221413938054 C1(227,389) = 1.182612259349543599 C2(227,389) = 1.246940222735538054 C3(227,389) = 7.387634601606043216 C4(227,389) = 3112 Sum = 4574.698729975833754 Averaged sum = 0.4570585203292870171 logp*logq = 32.35211986441462211 -------------- ************************************* p = 227; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125403196034560.8079 -------------- Searches starting with [227,397]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(227,397) = 0.5606089059193763679 D2(227,397) = 0.06250360715039168635 C1(227,397) = 0.7634847849162497845 C2(227,397) = 1.805500131544041217 C3(227,397) = 3.636637179812882039 C4(227,397) = 3176 Sum = 4338.235936515345463 Averaged sum = 0.4334335034983859988 logp*logq = 32.46255523052157334 -------------- ************************************* p = 227; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132412233056465.5796 -------------- Searches starting with [227,401]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(227,401) = 0.7668286695755137901 D2(227,401) = 0.05746660352058223017 C1(227,401) = 1.022965218417960588 C2(227,401) = 1.802334085299494554 C3(227,401) = 5.639768789147405945 C4(227,401) = 3208 Sum = 4269.858438098795663 Averaged sum = 0.4266019020979913741 logp*logq = 32.51694114984962584 -------------- ************************************* p = 227; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147390131195635.0198 -------------- Searches starting with [227,409]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(227,409) = 0.9872031666073257498 D2(227,409) = 0.03959461218333696321 C1(227,409) = 1.323576608447001324 C2(227,409) = 1.489945705373075794 C3(227,409) = 9.376246673218559626 C4(227,409) = 3272 Sum = 4278.018709692890808 Averaged sum = 0.4274171954933450702 logp*logq = 32.62410414090257355 -------------- ************************************* p = 227; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168027362246051.0625 -------------- Searches starting with [227,419]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(227,419) = 0.6108581279672014788 D2(227,419) = 0.03711445695424909054 C1(227,419) = 0.8548213818897971899 C2(227,419) = 1.836226348560486777 C3(227,419) = 4.244017659391277962 C4(227,419) = 3352 Sum = 4408.420958309213514 Averaged sum = 0.4404456947056862338 logp*logq = 32.75514795258205393 -------------- ************************************* p = 227; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172424589882974.8850 -------------- Searches starting with [227,421]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(227,421) = 0.5797112540687586212 D2(227,421) = 0.03481483743649910145 C1(227,421) = 0.7986604796421313656 C2(227,421) = 1.834836187192560146 C3(227,421) = 3.859516081972762608 C4(227,421) = 3368 Sum = 4384.382596121018508 Averaged sum = 0.4380440199941071543 logp*logq = 32.78098109671893286 -------------- ************************************* p = 227; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 195842756310703.8806 -------------- Searches starting with [227,431]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(227,431) = 0.8911184367972159432 D2(227,431) = 0.02161482997360599090 C1(227,431) = 1.204258770918310671 C2(227,431) = 1.669697123117319112 C3(227,431) = 7.663065057968108207 C4(227,431) = 3448 Sum = 4557.444932484480489 Averaged sum = 0.4553346920256249864 logp*logq = 32.90833318945240475 -------------- ************************************* p = 227; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200823743976839.0708 -------------- Searches starting with [227,433]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(227,433) = 1.154336089322704427 D2(227,433) = 0.01963995219105826607 C1(227,433) = 1.661328513707930778 C2(227,433) = 1.668581797623429254 C3(227,433) = 16.59864303276696122 C4(227,433) = 3464 Sum = 4779.811913774340546 Averaged sum = 0.4775513951218244126 logp*logq = 32.93344874365211805 -------------- ************************************* p = 227; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 216390377863901.0881 -------------- Searches starting with [227,439]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(227,439) = 0.6570220615341943074 D2(227,439) = 0.01249381447152534880 C1(227,439) = 0.9084545308902314502 C2(227,439) = 1.504494682966782213 C3(227,439) = 4.646919386790848195 C4(227,439) = 3512 Sum = 4276.456934411416313 Averaged sum = 0.4272611583985829067 logp*logq = 33.00810519732773513 -------------- ************************************* p = 227; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 227304451428476.0701 -------------- Searches starting with [227,443]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(227,443) = 0.6841441669720382982 D2(227,443) = 0.008181355133076523792 C1(227,443) = 0.9466757008459357417 C2(227,443) = 1.354348880623505551 C3(227,443) = 4.957179019997872329 C4(227,443) = 3544 Sum = 4590.358862863981627 Averaged sum = 0.4586231254734720379 logp*logq = 33.05731143053050546 -------------- ************************************* p = 227; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 244514058365197.3166 -------------- Searches starting with [227,449]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(227,449) = 0.8841285366399117283 D2(227,449) = 0.005082119923508402750 C1(227,449) = 1.564563777732000580 C2(227,449) = 1.873051169927493251 C3(227,449) = 14.09317923256491921 C4(227,449) = 3592 Sum = 4418.828194854580819 Averaged sum = 0.4414854825511620361 logp*logq = 33.13029392161666868 -------------- ************************************* p = 227; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269099218222085.5451 -------------- Searches starting with [227,457]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(227,457) = 0.9180015906643645126 D2(227,457) = 0.06745057545813075833 C1(227,457) = 1.354630349476895079 C2(227,457) = 1.579573623329953310 C3(227,457) = 9.881770413010450193 C4(227,457) = 3656 Sum = 3447.195518157530595 Averaged sum = 0.3444095831908812664 logp*logq = 33.22610126849957240 -------------- ************************************* p = 227; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 282126825216080.3465 -------------- Searches starting with [227,461]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(227,461) = 0.7940692084007099194 D2(227,461) = 0.1073735876674534670 C1(227,461) = 1.206204918019474422 C2(227,461) = 1.796604352710142015 C3(227,461) = 7.688325377028748757 C4(227,461) = 3688 Sum = 3594.810033191191939 Averaged sum = 0.3591577613339186671 logp*logq = 33.27337782057506934 -------------- ************************************* p = 227; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 288830893552612.5923 -------------- Searches starting with [227,463]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(227,463) = 0.9806669448840219125 D2(227,463) = 0.1245467586929455324 C1(227,463) = 1.309474507888192183 C2(227,463) = 1.814504993104454861 C3(227,463) = 9.155298355598022289 C4(227,463) = 3704 Sum = 4143.663237697435230 Averaged sum = 0.4139937294132715786 logp*logq = 33.29686248936119368 -------------- ************************************* p = 227; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 302629080214634.8682 -------------- Searches starting with [227,467]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(227,467) = 0.7777691353869314157 D2(227,467) = 0.1253933580561636863 C1(227,467) = 1.242034010727519022 C2(227,467) = 1.293459885159062471 C3(227,467) = 8.168540899649881560 C4(227,467) = 3736 Sum = 4145.984827396410900 Averaged sum = 0.4142256796279759116 logp*logq = 33.34352901383734120 -------------- ************************************* p = 227; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 347285131757817.3125 -------------- Searches starting with [227,479]-exponents: u = 25, v = 7 n_start has 78 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(227,479) = 0.5977542404873842331 D2(227,479) = 0.06484887727935943035 C1(227,479) = 0.8868652218195777824 C2(227,479) = 1.777093133556682658 C3(227,479) = 4.480330398725101384 C4(227,479) = 3832 Sum = 4212.417696258098203 Averaged sum = 0.4208629929321708665 logp*logq = 33.48116726381432794 -------------- ************************************* p = 227; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 379935859151862.8645 -------------- Searches starting with [227,487]-exponents: u = 73, v = 7 n_start has 191 digits starting right neighbors generation We generated 2839 left neighbors We generated 7171 right neighbors We generated 10009 non-negative rho_i D1(227,487) = 0.5981558916575511334 D2(227,487) = 0.004835247795929035992 C1(227,487) = 0.8339084543514394760 C2(227,487) = 1.720231124931753605 C3(227,487) = 4.096555258271038552 C4(227,487) = 3896 Sum = 4054.066927938705868 Averaged sum = 0.4050421548545015355 logp*logq = 33.57102356269643248 -------------- ************************************* p = 227; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 397175625101031.8201 -------------- Searches starting with [227,491]-exponents: u = 249, v = 7 n_start has 606 digits --- performed 5000 steps in the continued fraction search [227,491]-exponents: u = 48, v = 162 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,491) = 0.6096758992490649028 D2(227,491) = 0.2488116375789628291 C1(227,491) = 0.7965315481565050534 C2(227,491) = 1.420873360739296608 C3(227,491) = 3.845646643647116661 C4(227,491) = 3928 Sum = 5125.767859834475937 Averaged sum = 0.5126280487883264263 logp*logq = 33.61539967940141937 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,491) = 0.6096758992490649028 D2(227,491) = 0.2488116375789628291 C1(227,491) = 0.7965315481565050534 C2(227,491) = 1.420873360739296608 C3(227,491) = 3.845646643647116661 C4(227,491) = 3928 Sum = 5125.767859834475937 Averaged sum = 0.5126280487883264263 logp*logq = 33.61539967940141937 -------------- ************************************* p = 227; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 433571375409260.3547 -------------- Searches starting with [227,499]-exponents: u = 8, v = 55 n_start has 168 digits starting right neighbors generation We generated 2058 left neighbors We generated 7952 right neighbors We generated 10009 non-negative rho_i D1(227,499) = 0.7705328490814205341 D2(227,499) = 0.03426326188862253895 C1(227,499) = 1.076203877223975208 C2(227,499) = 1.676270187640887709 C3(227,499) = 6.171056804140881666 C4(227,499) = 3992 Sum = 4775.643068953080332 Averaged sum = 0.4771348854983595096 logp*logq = 33.70307754775227001 -------------- ************************************* p = 227; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 452763374131520.0633 -------------- Searches starting with [227,503]-exponents: u = 8, v = 34 n_start has 111 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(227,503) = 1.064749914695346847 D2(227,503) = 0.01564387407004848297 C1(227,503) = 1.468962357273081500 C2(227,503) = 1.526850021972221347 C3(227,503) = 11.98946209919000290 C4(227,503) = 4024 Sum = 5079.984799672728879 Averaged sum = 0.5075416924440732219 logp*logq = 33.74639075202722185 -------------- ************************************* p = 227; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 482846047404251.2436 -------------- Searches starting with [227,509]-exponents: u = 8, v = 20 n_start has 73 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(227,509) = 0.6680613356050229893 D2(227,509) = 0.04768173589775688476 C1(227,509) = 0.9512710485789348560 C2(227,509) = 1.693305764842160250 C3(227,509) = 4.995850190390391448 C4(227,509) = 4072 Sum = 4154.616655482250473 Averaged sum = 0.4150880862705815239 logp*logq = 33.81071897633769178 -------------- ************************************* p = 227; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 547909530198663.5010 -------------- Searches starting with [227,521]-exponents: u = 8, v = 13 n_start has 55 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(227,521) = 0.7990840429760770817 D2(227,521) = 0.1131270298483541929 C1(227,521) = 1.077577813366995752 C2(227,521) = 1.390354908542748719 C3(227,521) = 6.185410922894742087 C4(227,521) = 4168 Sum = 4503.269108330039377 Averaged sum = 0.4499219810500588847 logp*logq = 33.93713129836921337 -------------- ************************************* p = 227; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 559417160534445.0525 -------------- Searches starting with [227,523]-exponents: u = 15, v = 6 n_start has 52 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(227,523) = 1.837383334792853199 D2(227,523) = 0.08250196583177877103 C1(227,523) = 2.984714790248241247 C2(227,523) = 1.127340950918498875 C3(227,523) = 155.5828886516377434 C4(227,523) = 4184 Sum = 4303.820514991875771 Averaged sum = 0.4299950559488336268 logp*logq = 33.95791657290526764 -------------- ************************************* p = 227; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 672138157471435.1801 -------------- Searches starting with [227,541]-exponents: u = 29, v = 6 n_start has 85 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(227,541) = 0.8743255056980047059 D2(227,541) = 0.01693329918335177890 C1(227,541) = 1.313399498358494572 C2(227,541) = 1.807263624821832681 C3(227,541) = 9.216265940553437197 C4(227,541) = 4328 Sum = 2987.279921817307116 Averaged sum = 0.2984593787408639341 logp*logq = 34.14148502679601655 -------------- ************************************* p = 227; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 713582833641780.5839 -------------- Searches starting with [227,547]-exponents: u = 36, v = 6 n_start has 102 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(227,547) = 0.8792852002764990981 D2(227,547) = 0.04671348931624325075 C1(227,547) = 1.274609256016388023 C2(227,547) = 1.730291117336635380 C3(227,547) = 8.631129034098142495 C4(227,547) = 4376 Sum = 4775.393871376789000 Averaged sum = 0.4771099881483453891 logp*logq = 34.20131964090973510 -------------- ************************************* p = 227; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 787276320538646.6016 -------------- Searches starting with [227,557]-exponents: u = 155, v = 6 n_start has 382 digits --- performed 5000 steps in the continued fraction search [227,557]-exponents: u = 45, v = 63 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,557) = 0.5624350218023229204 D2(227,557) = 0.02510776160581088753 C1(227,557) = 0.7984155049083556189 C2(227,557) = 1.469904957073975804 C3(227,557) = 3.857917591557337487 C4(227,557) = 4456 Sum = 4810.134495706163420 Averaged sum = 0.4810615557261889608 logp*logq = 34.29960040887082835 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,557) = 0.5624350218023229204 D2(227,557) = 0.02510776160581088753 C1(227,557) = 0.7984155049083556189 C2(227,557) = 1.469904957073975804 C3(227,557) = 3.857917591557337487 C4(227,557) = 4456 Sum = 4810.134495706163420 Averaged sum = 0.4810615557261889608 logp*logq = 34.29960040887082835 -------------- ************************************* p = 227; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 834392832347808.4470 -------------- Searches starting with [227,563]-exponents: u = 7, v = 215 n_start has 608 digits --- performed 5000 steps in the continued fraction search [227,563]-exponents: u = 215, v = 16 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,563) = 0.6805998094264733310 D2(227,563) = 0.2279174636698150781 C1(227,563) = 0.8888906634147510897 C2(227,563) = 1.420185354399505064 C3(227,563) = 4.495702015723676651 C4(227,563) = 4504 Sum = 5098.958771986262984 Averaged sum = 0.5099468718858148798 logp*logq = 34.35772542939102477 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,563) = 0.6805998094264733310 D2(227,563) = 0.2279174636698150781 C1(227,563) = 0.8888906634147510897 C2(227,563) = 1.420185354399505064 C3(227,563) = 4.495702015723676651 C4(227,563) = 4504 Sum = 5098.958771986262984 Averaged sum = 0.5099468718858148798 logp*logq = 34.35772542939102477 -------------- ************************************* p = 227; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 883784412900102.0407 -------------- Searches starting with [227,569]-exponents: u = 7, v = 59 n_start has 180 digits starting right neighbors generation We generated 2254 left neighbors We generated 7756 right neighbors We generated 10009 non-negative rho_i D1(227,569) = 0.5750056048263673542 D2(227,569) = 0.01590956993002577807 C1(227,569) = 0.8046548769638654648 C2(227,569) = 1.652089610440821991 C3(227,569) = 3.898837322262702844 C4(227,569) = 4552 Sum = 4063.323110154453896 Averaged sum = 0.4059669407687535114 logp*logq = 34.41523427201356732 -------------- ************************************* p = 227; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 900768319935143.3693 -------------- Searches starting with [227,571]-exponents: u = 7, v = 47 n_start has 147 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(227,571) = 0.6064826836050515636 D2(227,571) = 0.04090302648465057738 C1(227,571) = 0.8218396823070219351 C2(227,571) = 1.677622070259862823 C3(227,571) = 4.013798465812939082 C4(227,571) = 4568 Sum = 4195.338865537292257 Averaged sum = 0.4191566455727137833 logp*logq = 34.43426920388463933 -------------- ************************************* p = 227; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 953324547227669.8701 -------------- Searches starting with [227,577]-exponents: u = 7, v = 29 n_start has 97 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(227,577) = 0.5774546472757919854 D2(227,577) = 0.04540340716484134495 C1(227,577) = 0.8036233821155067785 C2(227,577) = 1.767336278516769554 C3(227,577) = 3.892042637559023819 C4(227,577) = 4616 Sum = 4098.201596070730191 Averaged sum = 0.4094516531192656800 logp*logq = 34.49097651483711552 -------------- ************************************* p = 227; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1046461646432002.941 -------------- Searches starting with [227,587]-exponents: u = 7, v = 17 n_start has 64 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(227,587) = 0.6515190858330217573 D2(227,587) = 0.007651967330688454634 C1(227,587) = 0.8579300349577999772 C2(227,587) = 1.733093075714228146 C3(227,587) = 4.266386180316169753 C4(227,587) = 4696 Sum = 3709.491297479225529 Averaged sum = 0.3706155757297657637 logp*logq = 34.58419100777080777 -------------- ************************************* p = 227; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1105816605516880.333 -------------- Searches starting with [227,593]-exponents: u = 7, v = 11 n_start has 47 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(227,593) = 0.7217306412283968506 D2(227,593) = 0.03152419914000585438 C1(227,593) = 0.9712941695741394007 C2(227,593) = 1.884340845925153420 C3(227,593) = 5.167902382295256263 C4(227,593) = 4744 Sum = 4323.914598346711603 Averaged sum = 0.4320026574429724851 logp*logq = 34.63936046646486514 -------------- ************************************* p = 227; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1167889324603633.542 -------------- Searches starting with [227,599]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(227,599) = 1.118695537762104586 D2(227,599) = 0.05598509750169548560 C1(227,599) = 1.498809131857127569 C2(227,599) = 1.910581632184153855 C3(227,599) = 12.61011488612965791 C4(227,599) = 4792 Sum = 4412.844504197222759 Averaged sum = 0.4408876515333422678 logp*logq = 34.69397451849455015 -------------- ************************************* p = 227; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1189200588547947.863 -------------- Searches starting with [227,601]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(227,601) = 1.085373745178696768 D2(227,601) = 0.06442996140036166065 C1(227,601) = 1.564755604166643069 C2(227,601) = 1.919615750544236295 C3(227,601) = 14.09775152194049343 C4(227,601) = 4808 Sum = 5255.979006414377322 Averaged sum = 0.5251252878823436229 logp*logq = 34.71205770196318896 -------------- ************************************* p = 227; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1255045694872161.370 -------------- Searches starting with [227,607]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(227,607) = 0.8162622452143503821 D2(227,607) = 0.06999086672999658737 C1(227,607) = 1.354494947968952383 C2(227,607) = 1.273715352957878283 C3(227,607) = 9.879508091208709147 C4(227,607) = 4856 Sum = 4193.513721980125210 Averaged sum = 0.4189742953322135288 logp*logq = 34.76594837708829745 -------------- ************************************* p = 227; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1323834667858017.258 -------------- Searches starting with [227,613]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(227,613) = 0.7858318725241684696 D2(227,613) = 0.07647774230672543526 C1(227,613) = 1.085742381695741106 C2(227,613) = 1.961377314096648832 C3(227,613) = 6.271401147773336435 C4(227,613) = 4904 Sum = 4718.003211684382267 Averaged sum = 0.4713760826940136145 logp*logq = 34.81930897140917199 -------------- ************************************* p = 227; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1371379172394286.741 -------------- Searches starting with [227,617]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(227,617) = 0.6899762968719519190 D2(227,617) = 0.05614638480724253347 C1(227,617) = 0.9964799373421724281 C2(227,617) = 1.942368733833635261 C3(227,617) = 5.392754155623464015 C4(227,617) = 4936 Sum = 4083.404551772275090 Averaged sum = 0.4079732792259241772 logp*logq = 34.85459332355125616 -------------- ************************************* p = 227; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1395668366789302.717 -------------- Searches starting with [227,619]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(227,619) = 0.6337548142246404352 D2(227,619) = 0.04641128675991294223 C1(227,619) = 0.8417166096947319202 C2(227,619) = 1.933291762189512702 C3(227,619) = 4.151003441542939156 C4(227,619) = 4952 Sum = 4062.877001945069236 Averaged sum = 0.4059223700614516171 logp*logq = 34.87214981142259633 -------------- ************************************* p = 227; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1548885525935784.643 -------------- Searches starting with [227,631]-exponents: u = 19, v = 5 n_start has 59 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(227,631) = 0.6554980908113771138 D2(227,631) = 0.1498776366941468984 C1(227,631) = 0.9070350966956244635 C2(227,631) = 1.920476655869589110 C3(227,631) = 4.635778875290551782 C4(227,631) = 5048 Sum = 4423.420293701168783 Averaged sum = 0.4419442795185501831 logp*logq = 34.97631205170090427 -------------- ************************************* p = 227; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1686803588676985.016 -------------- Searches starting with [227,641]-exponents: u = 25, v = 5 n_start has 73 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(227,641) = 0.5843354429478665190 D2(227,641) = 0.05522581722553156286 C1(227,641) = 0.8298157190153614250 C2(227,641) = 1.828902264731697871 C3(227,641) = 4.068301492530218044 C4(227,641) = 5128 Sum = 4105.033454135082605 Averaged sum = 0.4101342246113580383 logp*logq = 35.06161176530460937 -------------- ************************************* p = 227; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1715553106805996.519 -------------- Searches starting with [227,643]-exponents: u = 25, v = 5 n_start has 73 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(227,643) = 0.8456717925049137087 D2(227,643) = 0.03917894574118616727 C1(227,643) = 1.145427164996174093 C2(227,643) = 1.813465048722915011 C3(227,643) = 6.937401530762771685 C4(227,643) = 5144 Sum = 4369.579009829158026 Averaged sum = 0.4365649924896750950 logp*logq = 35.07851193479015297 -------------- ************************************* p = 227; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1774251685830540.889 -------------- Searches starting with [227,647]-exponents: u = 31, v = 5 n_start has 88 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(227,647) = 0.6079393774422070721 D2(227,647) = 0.009105508269050604562 C1(227,647) = 0.8515769862952967470 C2(227,647) = 1.784605189033718297 C3(227,647) = 4.220797455264933909 C4(227,647) = 5176 Sum = 4194.047041216447735 Averaged sum = 0.4190275793002745264 logp*logq = 35.11215514349835235 -------------- ************************************* p = 227; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1865362801597384.381 -------------- Searches starting with [227,653]-exponents: u = 43, v = 5 n_start has 116 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(227,653) = 0.6863895048827970942 D2(227,653) = 0.02534748463336610163 C1(227,653) = 0.9430794797033528389 C2(227,653) = 1.720377961208950234 C3(227,653) = 4.927124695180580199 C4(227,653) = 5224 Sum = 4319.172269597662818 Averaged sum = 0.4315288509938717972 logp*logq = 35.16223196077523445 -------------- ************************************* p = 227; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1960254588807030.286 -------------- Searches starting with [227,659]-exponents: u = 67, v = 5 n_start has 172 digits starting right neighbors generation We generated 1918 left neighbors We generated 8092 right neighbors We generated 10009 non-negative rho_i D1(227,659) = 0.8007544522394570101 D2(227,659) = 0.004493205310926637316 C1(227,659) = 1.122795290102063364 C2(227,659) = 1.639952590695219601 C3(227,659) = 6.676918563166664958 C4(227,659) = 5272 Sum = 3807.416445713352876 Averaged sum = 0.3803992852146421097 logp*logq = 35.21185075196632830 -------------- ************************************* p = 227; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1992746049948461.932 -------------- Searches starting with [227,661]-exponents: u = 79, v = 5 n_start has 201 digits starting right neighbors generation We generated 2555 left neighbors We generated 7455 right neighbors We generated 10009 non-negative rho_i D1(227,661) = 0.6738537250295875490 D2(227,661) = 0.01090155310465753209 C1(227,661) = 0.9346401082533411359 C2(227,661) = 1.598707276823476655 C3(227,661) = 4.857308808125120497 C4(227,661) = 5288 Sum = 3962.927310326762105 Averaged sum = 0.3959363882832213113 logp*logq = 35.22829000702333126 -------------- ************************************* p = 227; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2197052182835367.327 -------------- Searches starting with [227,673]-exponents: u = 6, v = 599 n_start has 1709 digits --- performed 5000 steps in the continued fraction search [227,673]-exponents: u = 605, v = 93 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,673) = 0.6799250079289425367 D2(227,673) = 0.4200408545009308147 C1(227,673) = 0.8547172684371066082 C2(227,673) = 1.460464405499529258 C3(227,673) = 4.243270537193092224 C4(227,673) = 5384 Sum = 5686.580329256963214 Averaged sum = 0.5687149044161379352 logp*logq = 35.32589293989060833 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,673) = 0.6799250079289425367 D2(227,673) = 0.4200408545009308147 C1(227,673) = 0.8547172684371066082 C2(227,673) = 1.460464405499529258 C3(227,673) = 4.243270537193092224 C4(227,673) = 5384 Sum = 5686.580329256963214 Averaged sum = 0.5687149044161379352 logp*logq = 35.32589293989060833 -------------- ************************************* p = 227; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2268830478486005.046 -------------- Searches starting with [227,677]-exponents: u = 6, v = 139 n_start has 408 digits --- performed 5000 steps in the continued fraction search [227,677]-exponents: u = 12, v = 100 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,677) = 0.6705808969531697975 D2(227,677) = 0.02187288286308694214 C1(227,677) = 0.8921444027365077734 C2(227,677) = 1.435494894082753892 C3(227,677) = 4.520505998767328262 C4(227,677) = 5416 Sum = 4801.149264298159437 Averaged sum = 0.4801629427240883526 logp*logq = 35.35804088592348225 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,677) = 0.6705808969531697975 D2(227,677) = 0.02187288286308694214 C1(227,677) = 0.8921444027365077734 C2(227,677) = 1.435494894082753892 C3(227,677) = 4.520505998767328262 C4(227,677) = 5416 Sum = 4801.149264298159437 Averaged sum = 0.4801629427240883526 logp*logq = 35.35804088592348225 -------------- ************************************* p = 227; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2380075018608005.629 -------------- Searches starting with [227,683]-exponents: u = 6, v = 64 n_start has 196 digits starting right neighbors generation We generated 2463 left neighbors We generated 7547 right neighbors We generated 10009 non-negative rho_i D1(227,683) = 0.6060034394788208823 D2(227,683) = 0.002053078804355039702 C1(227,683) = 0.8419190414251577742 C2(227,683) = 1.611700750750838159 C3(227,683) = 4.152424630597359996 C4(227,683) = 5464 Sum = 3896.126996959080844 Averaged sum = 0.3892623635686962577 logp*logq = 35.40590840252084225 -------------- ************************************* p = 227; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2535283224221785.666 -------------- Searches starting with [227,691]-exponents: u = 6, v = 34 n_start has 111 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(227,691) = 0.7589683173350843311 D2(227,691) = 0.001189361554962332918 C1(227,691) = 1.092311905631541111 C2(227,691) = 1.733216369498749525 C3(227,691) = 6.341459330422652325 C4(227,691) = 5528 Sum = 4484.796818379093495 Averaged sum = 0.4480764130661498147 logp*logq = 35.46908175124427581 -------------- ************************************* p = 227; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2740804201147847.130 -------------- Searches starting with [227,701]-exponents: u = 6, v = 24 n_start has 83 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(227,701) = 0.6060055762836488191 D2(227,701) = 0.09259114338333531057 C1(227,701) = 0.8320923273451757572 C2(227,701) = 1.826883979432869303 C3(227,701) = 4.083993681264748394 C4(227,701) = 5608 Sum = 4084.704983575903346 Averaged sum = 0.4081032054726649361 logp*logq = 35.54702777631532841 -------------- ************************************* p = 227; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2914830756202600.948 -------------- Searches starting with [227,709]-exponents: u = 6, v = 19 n_start has 69 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(227,709) = 0.5746116439823032153 D2(227,709) = 0.04159266840534631656 C1(227,709) = 0.8845544382834094972 C2(227,709) = 1.871810115054958485 C3(227,709) = 4.462857421676851688 C4(227,709) = 5672 Sum = 3999.821782318704178 Averaged sum = 0.3996225179657012866 logp*logq = 35.60858815340586664 -------------- ************************************* p = 227; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3144933334556323.987 -------------- Searches starting with [227,719]-exponents: u = 6, v = 14 n_start has 55 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(227,719) = 0.7554645602336387098 D2(227,719) = 0.1060512706161773072 C1(227,719) = 1.034716547809633001 C2(227,719) = 1.938606677367000100 C3(227,719) = 5.752960948941358975 C4(227,719) = 5752 Sum = 4474.356825070681680 Averaged sum = 0.4470333524898273234 logp*logq = 35.68456908755903537 -------------- ************************************* p = 227; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3339497727086660.268 -------------- Searches starting with [227,727]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(227,727) = 0.9839585740678517104 D2(227,727) = 0.1061845231139394327 C1(227,727) = 1.272882150256754846 C2(227,727) = 1.270835644296549747 C3(227,727) = 8.605958157241305724 C4(227,727) = 5816 Sum = 3756.387775905005311 Averaged sum = 0.3753010066844844951 logp*logq = 35.74459680947914283 -------------- ************************************* p = 227; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3491771832804013.049 -------------- Searches starting with [227,733]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(227,733) = 0.6454812395905679977 D2(227,733) = 0.1223267826363567228 C1(227,733) = 0.9322278842234501986 C2(227,733) = 1.879214640850049939 C3(227,733) = 4.837535755124193187 C4(227,733) = 5864 Sum = 3723.242307983301238 Averaged sum = 0.3719894403020582713 logp*logq = 35.78918569077735053 -------------- ************************************* p = 227; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3649662424238045.800 -------------- Searches starting with [227,739]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(227,739) = 0.7464801596119664776 D2(227,739) = 0.09307674940201585485 C1(227,739) = 1.125299775871509925 C2(227,739) = 1.733287729360227615 C3(227,739) = 6.705255992651874257 C4(227,739) = 5912 Sum = 3492.154710067863953 Averaged sum = 0.3489014596930626389 logp*logq = 35.83341107171781996 -------------- ************************************* p = 227; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3758121488535409.041 -------------- Searches starting with [227,743]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(227,743) = 0.6472313038119740788 D2(227,743) = 0.005131944630793872621 C1(227,743) = 0.9459889951996083335 C2(227,743) = 1.988205656726458990 C3(227,743) = 4.951425959681918620 C4(227,743) = 5944 Sum = 3916.128233371882781 Averaged sum = 0.3912606887173426696 logp*logq = 35.86269562335584710 -------------- ************************************* p = 227; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3982932318169444.656 -------------- Searches starting with [227,751]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(227,751) = 0.6832301012212049427 D2(227,751) = 0.02535233377965127674 C1(227,751) = 0.9446916481898320447 C2(227,751) = 2.010385156207697971 C3(227,751) = 4.940575303889606925 C4(227,751) = 6008 Sum = 4493.056714531737393 Averaged sum = 0.4489016599592104499 logp*logq = 35.92079470628930125 -------------- ************************************* p = 227; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4158639188941023.742 -------------- Searches starting with [227,757]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(227,757) = 1.120676159497753349 D2(227,757) = 0.02476624998843806457 C1(227,757) = 1.911039272864162924 C2(227,757) = 1.091068495798193867 C3(227,757) = 25.31973192480922424 C4(227,757) = 6056 Sum = 2813.817598092113543 Averaged sum = 0.2811287439396656552 logp*logq = 35.96396429762605625 -------------- ************************************* p = 227; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4279250835353021.952 -------------- Searches starting with [227,761]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(227,761) = 0.8000725314984277991 D2(227,761) = 0.03296140754389970868 C1(227,761) = 1.364287998101456086 C2(227,761) = 1.300072541333086589 C3(227,761) = 10.04447623471790383 C4(227,761) = 6088 Sum = 4295.529249754555003 Averaged sum = 0.4291666749679843144 logp*logq = 35.99255435071444991 -------------- ************************************* p = 227; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4529039908366906.530 -------------- Searches starting with [227,769]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(227,769) = 0.7090552331409734134 D2(227,769) = 0.008148671770909996736 C1(227,769) = 1.017147690251198192 C2(227,769) = 2.034019601250241716 C3(227,769) = 5.584559621432911978 C4(227,769) = 6152 Sum = 3426.468880396002429 Averaged sum = 0.3423387831347789419 logp*logq = 36.04928637118515433 -------------- ************************************* p = 227; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4658320828551804.563 -------------- Searches starting with [227,773]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(227,773) = 0.8532014492670037668 D2(227,773) = 0.07095511823734120406 C1(227,773) = 1.249830147057347006 C2(227,773) = 1.728275611933279919 C3(227,773) = 8.276942481804838493 C4(227,773) = 6184 Sum = 4291.742091475108650 Averaged sum = 0.4287882996778008442 logp*logq = 36.07743144089054072 -------------- ************************************* p = 227; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5134736655868414.889 -------------- Searches starting with [227,787]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(227,787) = 1.012370521000354966 D2(227,787) = 0.1142941342493635554 C1(227,787) = 1.432213960338328725 C2(227,787) = 1.899591313983314497 C3(227,787) = 11.26709180371327640 C4(227,787) = 6296 Sum = 4250.430322654417565 Averaged sum = 0.4246608375116812434 logp*logq = 36.17480495282197478 -------------- ************************************* p = 227; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5498780341648489.439 -------------- Searches starting with [227,797]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(227,797) = 0.6569064190213043673 D2(227,797) = 0.1074891470645413756 C1(227,797) = 1.057555260861690243 C2(227,797) = 1.442008363248216181 C3(227,797) = 5.979489115125076133 C4(227,797) = 6376 Sum = 4283.569789568583183 Averaged sum = 0.4279718043329586555 logp*logq = 36.24330270649368793 -------------- ************************************* p = 227; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5963145183505415.772 -------------- Searches starting with [227,809]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(227,809) = 0.6288582597683685706 D2(227,809) = 0.04832550540739948489 C1(227,809) = 0.8449982805475348100 C2(227,809) = 1.947859415847334999 C3(227,809) = 4.174102779420303440 C4(227,809) = 6472 Sum = 4254.316095623239535 Averaged sum = 0.4250490654034608387 logp*logq = 36.32437445214842159 -------------- ************************************* p = 227; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6043558549956200.479 -------------- Searches starting with [227,811]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(227,811) = 0.6899810755882451063 D2(227,811) = 0.03764757283414581422 C1(227,811) = 0.9332702644953923589 C2(227,811) = 1.937685939333723496 C3(227,811) = 4.846070273656101442 C4(227,811) = 6488 Sum = 4142.778599344317493 Averaged sum = 0.4139053451238203110 logp*logq = 36.33776939726853041 -------------- ************************************* p = 227; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6459010062950835.380 -------------- Searches starting with [227,821]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(227,821) = 0.6478592209214912703 D2(227,821) = 0.1234692741247876231 C1(227,821) = 0.9324030055305801116 C2(227,821) = 1.933241788588673697 C3(227,821) = 4.838968514708631279 C4(227,821) = 6568 Sum = 3844.033320812941466 Averaged sum = 0.3840576801691419188 logp*logq = 36.40425245993330712 -------------- ************************************* p = 227; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6544830250704408.816 -------------- Searches starting with [227,823]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(227,823) = 0.5373351872982884322 D2(227,823) = 0.1055978910810809769 C1(227,823) = 0.7350777606872316869 C2(227,823) = 1.915850207098449943 C3(227,823) = 3.466075167701712584 C4(227,823) = 6584 Sum = 4262.287340850583516 Averaged sum = 0.4258454731592150580 logp*logq = 36.41745185821496036 -------------- ************************************* p = 227; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6719261836850043.394 -------------- Searches starting with [227,827]-exponents: u = 26, v = 4 n_start has 73 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(227,827) = 0.8897022465877924111 D2(227,827) = 0.07261820110180844474 C1(227,827) = 1.159337975299532110 C2(227,827) = 1.883826602312692994 C3(227,827) = 7.102526645179566172 C4(227,827) = 6616 Sum = 3529.084059062795624 Averaged sum = 0.3525910739397338019 logp*logq = 36.44375469770542316 -------------- ************************************* p = 227; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6807888771112500.203 -------------- Searches starting with [227,829]-exponents: u = 26, v = 4 n_start has 73 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(227,829) = 0.6744574134919652781 D2(227,829) = 0.05728990897394653612 C1(227,829) = 0.9325618973178379441 C2(227,829) = 1.868974605209621999 C3(227,829) = 4.840268859225969995 C4(227,829) = 6632 Sum = 4075.553963391184249 Averaged sum = 0.4071889263054435257 logp*logq = 36.45685844808009307 -------------- ************************************* p = 227; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7265449701469676.329 -------------- Searches starting with [227,839]-exponents: u = 31, v = 4 n_start has 85 digits starting right neighbors generation We generated 304 left neighbors We generated 9706 right neighbors We generated 10009 non-negative rho_i D1(227,839) = 0.8876154012068540671 D2(227,839) = 0.07402937459910146067 C1(227,839) = 1.211467207233646608 C2(227,839) = 1.819358935489023251 C3(227,839) = 7.757045834290778015 C4(227,839) = 6712 Sum = 4516.900106108426802 Averaged sum = 0.4512838551412155862 logp*logq = 36.52190658973775640 -------------- ************************************* p = 227; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7947892746775550.322 -------------- Searches starting with [227,853]-exponents: u = 51, v = 4 n_start has 132 digits starting right neighbors generation We generated 950 left neighbors We generated 9060 right neighbors We generated 10009 non-negative rho_i D1(227,853) = 0.6420375087922320135 D2(227,853) = 0.006933625673632349497 C1(227,853) = 0.9181664894570882031 C2(227,853) = 1.701582421682621393 C3(227,853) = 4.723865890123845165 C4(227,853) = 6824 Sum = 3518.113701722578527 Averaged sum = 0.3514950246500727871 logp*logq = 36.61168322514276784 -------------- ************************************* p = 227; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8152191278534192.042 -------------- Searches starting with [227,857]-exponents: u = 56, v = 4 n_start has 144 digits starting right neighbors generation We generated 1059 left neighbors We generated 8951 right neighbors We generated 10009 non-negative rho_i D1(227,857) = 0.9747253154745279806 D2(227,857) = 0.01164392200520848420 C1(227,857) = 1.375679774724639796 C2(227,857) = 1.663346122965789705 C3(227,857) = 10.23984464630214321 C4(227,857) = 6856 Sum = 5359.300007300696182 Averaged sum = 0.5354480974423714838 logp*logq = 36.63706315455659316 -------------- ************************************* p = 227; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8255935007115948.232 -------------- Searches starting with [227,859]-exponents: u = 66, v = 4 n_start has 168 digits starting right neighbors generation We generated 1447 left neighbors We generated 8563 right neighbors We generated 10009 non-negative rho_i D1(227,859) = 0.7992758339051944505 D2(227,859) = 0.02816200918059151764 C1(227,859) = 1.121875776115019016 C2(227,859) = 1.643616638669048827 C3(227,859) = 6.666544648824816452 C4(227,859) = 6872 Sum = 3666.392716166622092 Averaged sum = 0.3663095929829775295 logp*logq = 36.64970873141880308 -------------- ************************************* p = 227; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8466654104746215.252 -------------- Searches starting with [227,863]-exponents: u = 81, v = 4 n_start has 203 digits starting right neighbors generation We generated 2234 left neighbors We generated 7776 right neighbors We generated 10009 non-negative rho_i D1(227,863) = 0.8401025508014102723 D2(227,863) = 0.008129134312408816770 C1(227,863) = 1.163378725026658890 C2(227,863) = 1.593049036965634439 C3(227,863) = 7.151223987707197682 C4(227,863) = 6904 Sum = 3955.132483170394840 Averaged sum = 0.3951576064712153901 logp*logq = 36.67491179657457390 -------------- ************************************* p = 227; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9239015495045043.896 -------------- Searches starting with [227,877]-exponents: u = 361, v = 4 n_start has 863 digits --- performed 5000 steps in the continued fraction search [227,877]-exponents: u = 56, v = 234 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,877) = 0.7434086090520205474 D2(227,877) = 0.2582506652849086276 C1(227,877) = 0.9568805852181501961 C2(227,877) = 1.438824509144495372 C3(227,877) = 5.043465177636502261 C4(227,877) = 7016 Sum = 5241.863540587250475 Averaged sum = 0.5242387779365186994 logp*logq = 36.76221172673232185 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,877) = 0.7434086090520205474 D2(227,877) = 0.2582506652849086276 C1(227,877) = 0.9568805852181501961 C2(227,877) = 1.438824509144495372 C3(227,877) = 5.043465177636502261 C4(227,877) = 7016 Sum = 5241.863540587250475 Averaged sum = 0.5242387779365186994 logp*logq = 36.76221172673232185 -------------- ************************************* p = 227; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9469937349113491.376 -------------- Searches starting with [227,881]-exponents: u = 13046, v = 4 n_start has 30749 digits --- performed 5000 steps in the continued fraction search [227,881]-exponents: u = 1102, v = 9559 --- performed 10000 steps in the continued fraction search [227,881]-exponents: u = 2204, v = 8677 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,881) = 0.6781558965673982708 D2(227,881) = 0.6771556531967105761 C1(227,881) = 0.7991668120087091955 C2(227,881) = 1.470564835942301680 C3(227,881) = 3.862822062724463718 C4(227,881) = 7048 Sum = 6770.904609627013820 Averaged sum = 0.6771581767803794199 logp*logq = 36.78689868636487594 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,881) = 0.6781558965673982708 D2(227,881) = 0.6771556531967105761 C1(227,881) = 0.7991668120087091955 C2(227,881) = 1.470564835942301680 C3(227,881) = 3.862822062724463718 C4(227,881) = 7048 Sum = 6770.904609627013820 Averaged sum = 0.6771581767803794199 logp*logq = 36.78689868636487594 -------------- ************************************* p = 227; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9587151059646676.185 -------------- Searches starting with [227,883]-exponents: u = 5, v = 631 n_start has 1871 digits --- performed 5000 steps in the continued fraction search [227,883]-exponents: u = 616, v = 136 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,883) = 0.5869223371928012474 D2(227,883) = 0.4063747338026910589 C1(227,883) = 0.7357044977998099735 C2(227,883) = 1.467461479948981847 C3(227,883) = 3.469750523471314376 C4(227,883) = 7064 Sum = 5686.254762190157418 Averaged sum = 0.5686823444534610878 logp*logq = 36.79920016559849218 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,883) = 0.5869223371928012474 D2(227,883) = 0.4063747338026910589 C1(227,883) = 0.7357044977998099735 C2(227,883) = 1.467461479948981847 C3(227,883) = 3.469750523471314376 C4(227,883) = 7064 Sum = 5686.254762190157418 Averaged sum = 0.5686823444534610878 logp*logq = 36.79920016559849218 -------------- ************************************* p = 227; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9825129718124568.666 -------------- Searches starting with [227,887]-exponents: u = 5, v = 203 n_start has 611 digits --- performed 5000 steps in the continued fraction search [227,887]-exponents: u = 118, v = 92 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,887) = 0.7390889980682045576 D2(227,887) = 0.1508235642661176272 C1(227,887) = 0.9647944796278765752 C2(227,887) = 1.413561224700095925 C3(227,887) = 5.111412809066319240 C4(227,887) = 7096 Sum = 5016.341393857761063 Averaged sum = 0.5016843078165577621 logp*logq = 36.82371975544140469 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(227,887) = 0.7390889980682045576 D2(227,887) = 0.1508235642661176272 C1(227,887) = 0.9647944796278765752 C2(227,887) = 1.413561224700095925 C3(227,887) = 5.111412809066319240 C4(227,887) = 7096 Sum = 5016.341393857761063 Averaged sum = 0.5016843078165577621 logp*logq = 36.82371975544140469 -------------- ************************************* p = 227; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11088471986784384.65 -------------- Searches starting with [227,907]-exponents: u = 5, v = 43 n_start has 139 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(227,907) = 0.9308809240508102819 D2(227,907) = 0.001087340280405844917 C1(227,907) = 1.316929550181703213 C2(227,907) = 1.680866185749352997 C3(227,907) = 9.271445571298778866 C4(227,907) = 7256 Sum = 5195.330968047177692 Averaged sum = 0.5190659374610028666 logp*logq = 36.94468240380295276 -------------- ************************************* p = 227; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11356363126360563.20 -------------- Searches starting with [227,911]-exponents: u = 5, v = 39 n_start has 128 digits starting right neighbors generation We generated 780 left neighbors We generated 9230 right neighbors We generated 10009 non-negative rho_i D1(227,911) = 0.5968544879242537670 D2(227,911) = 0.04161817199333730322 C1(227,911) = 0.8146204297799880291 C2(227,911) = 1.722045802019676591 C3(227,911) = 3.965096618226331805 C4(227,911) = 7288 Sum = 4180.270699194394144 Averaged sum = 0.4176511838539708407 logp*logq = 36.96855460961817933 -------------- ************************************* p = 227; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11907992029857776.39 -------------- Searches starting with [227,919]-exponents: u = 5, v = 31 n_start has 104 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(227,919) = 0.6469875657861669228 D2(227,919) = 0.05737715471605381786 C1(227,919) = 0.8747262836855366265 C2(227,919) = 1.787270911425550930 C3(227,919) = 4.389299923315289671 C4(227,919) = 7352 Sum = 4106.750589162592832 Averaged sum = 0.4103057837109194557 logp*logq = 37.01598616875409673 -------------- ************************************* p = 227; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12628067641955944.46 -------------- Searches starting with [227,929]-exponents: u = 5, v = 23 n_start has 81 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(227,929) = 0.8102311717692436145 D2(227,929) = 0.05651588716953119865 C1(227,929) = 1.109727239516768712 C2(227,929) = 1.848271548538933006 C3(227,929) = 6.530989094620776348 C4(227,929) = 7432 Sum = 4546.155076404497861 Averaged sum = 0.4542067215910178700 logp*logq = 37.07469832209794005 -------------- ************************************* p = 227; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13229357283180569.97 -------------- Searches starting with [227,937]-exponents: u = 5, v = 19 n_start has 69 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(227,937) = 0.6736310303602127093 D2(227,937) = 0.005645137466572687387 C1(227,937) = 0.9155068070129827717 C2(227,937) = 1.877518045797154630 C3(227,937) = 4.702667790889012318 C4(227,937) = 7496 Sum = 4166.304840257541109 Averaged sum = 0.4162558537573724756 logp*logq = 37.12121479159903028 -------------- ************************************* p = 227; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13538641226184832.91 -------------- Searches starting with [227,941]-exponents: u = 5, v = 19 n_start has 69 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(227,941) = 0.7288593188480730911 D2(227,941) = 0.02607620797092894735 C1(227,941) = 0.9820697383724718988 C2(227,941) = 1.898643483246715899 C3(227,941) = 5.262932905020891026 C4(227,941) = 7528 Sum = 4150.200023734192089 Averaged sum = 0.4146468202352075221 logp*logq = 37.14432430478787537 -------------- ************************************* p = 227; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14013604958280364.30 -------------- Searches starting with [227,947]-exponents: u = 5, v = 15 n_start has 57 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(227,947) = 0.8770040925407463656 D2(227,947) = 0.05868254173008974941 C1(227,947) = 1.343648654692841258 C2(227,947) = 1.932285765863723794 C3(227,947) = 9.699957907239818667 C4(227,947) = 7576 Sum = 3758.992845295378433 Averaged sum = 0.3755612793780975555 logp*logq = 37.17880503538509627 -------------- ************************************* p = 227; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14502072881934191.62 -------------- Searches starting with [227,953]-exponents: u = 5, v = 15 n_start has 57 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(227,953) = 0.8230724166924155875 D2(227,953) = 0.09421591927963112467 C1(227,953) = 1.099752885487015928 C2(227,953) = 1.968848446515341719 C3(227,953) = 6.421756521954647374 C4(227,953) = 7624 Sum = 4165.423190422544140 Averaged sum = 0.4161677680510085063 logp*logq = 37.21306799149455407 -------------- ************************************* p = 227; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15696014916642432.11 -------------- Searches starting with [227,967]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(227,967) = 0.6960574614279445852 D2(227,967) = 0.1345242419822664269 C1(227,967) = 1.095807370177804890 C2(227,967) = 1.432339051168284308 C3(227,967) = 6.379053812908695475 C4(227,967) = 7736 Sum = 4128.917849735542962 Averaged sum = 0.4125205165086964694 logp*logq = 37.29218324807998102 -------------- ************************************* p = 227; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16051477469104786.15 -------------- Searches starting with [227,971]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(227,971) = 0.7060517409338601787 D2(227,971) = 0.007558998038996003334 C1(227,971) = 0.9861430593382342819 C2(227,971) = 1.995892960589710287 C3(227,971) = 5.299309234739336892 C4(227,971) = 7768 Sum = 4404.055647880758238 Averaged sum = 0.4400095561875070674 logp*logq = 37.31457729439981780 -------------- ************************************* p = 227; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16596960703341415.30 -------------- Searches starting with [227,977]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(227,977) = 0.7006735008928755659 D2(227,977) = 0.02748403084038473107 C1(227,977) = 0.9152625369645550463 C2(227,977) = 2.016884822623455607 C3(227,977) = 4.700725695019237666 C4(227,977) = 7816 Sum = 3533.728583483389749 Averaged sum = 0.3530551087504635577 logp*logq = 37.34799598334997760 -------------- ************************************* p = 227; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17157470422014722.15 -------------- Searches starting with [227,983]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(227,983) = 0.7031658968175449530 D2(227,983) = 0.04826964789021909309 C1(227,983) = 1.012007044212677937 C2(227,983) = 2.038730620553876886 C3(227,983) = 5.536224122622314361 C4(227,983) = 7864 Sum = 4065.203967187285132 Averaged sum = 0.4061548573471161087 logp*logq = 37.38121006679988389 -------------- ************************************* p = 227; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17928742274067693.39 -------------- Searches starting with [227,991]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(227,991) = 0.6296193111744476791 D2(227,991) = 0.07756063559687907837 C1(227,991) = 1.033183473914258637 C2(227,991) = 2.069424981921097285 C3(227,991) = 5.738066050949394419 C4(227,991) = 7928 Sum = 3893.060223140364235 Averaged sum = 0.3889559619482829688 logp*logq = 37.42518153361267506 -------------- ************************************* p = 227; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18525560280728264.58 -------------- Searches starting with [227,997]-exponents: u = 14, v = 7 n_start has 54 digits starting right neighbors generation We generated 162 left neighbors We generated 9848 right neighbors We generated 10009 non-negative rho_i D1(227,997) = 1.344479832062768286 D2(227,997) = 0.05664687118587996520 C1(227,997) = 2.205971944673951253 C2(227,997) = 1.175100883618031452 C3(227,997) = 41.69235253551335059 C4(227,997) = 7976 Sum = 3615.162783180617147 Averaged sum = 0.3611912062324525075 logp*logq = 37.45792781020920343 -------------- ************************************* p = 229; q = 233; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7303885533624.260412 -------------- Searches starting with [229,233]-exponents: u = 1, v = 313 n_start has 744 digits --- performed 5000 steps in the continued fraction search [229,233]-exponents: u = 112, v = 186 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,233) = 0.5758494345867549514 D2(229,233) = 0.03663538134515121626 C1(229,233) = 0.7453800505090662472 C2(229,233) = 1.063403160066432040 C3(229,233) = 3.531237670011320999 C4(229,233) = 1864 Sum = 5463.659924966594531 Averaged sum = 0.5464206345601154646 logp*logq = 29.61942758736022260 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,233) = 0.5758494345867549514 D2(229,233) = 0.03663538134515121626 C1(229,233) = 0.7453800505090662472 C2(229,233) = 1.063403160066432040 C3(229,233) = 3.531237670011320999 C4(229,233) = 1864 Sum = 5463.659924966594531 Averaged sum = 0.5464206345601154646 logp*logq = 29.61942758736022260 -------------- ************************************* p = 229; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8385964268302.370171 -------------- Searches starting with [229,239]-exponents: u = 1, v = 127 n_start has 305 digits starting right neighbors generation We generated 2168 left neighbors We generated 7842 right neighbors We generated 10009 non-negative rho_i D1(229,239) = 0.7933231730775544546 D2(229,239) = 0.001168194017649288199 C1(229,239) = 1.070073369274005583 C2(229,239) = 1.179938423049192610 C3(229,239) = 6.117981624262799056 C4(229,239) = 1912 Sum = 4694.723175912502581 Averaged sum = 0.4690501724360578061 logp*logq = 29.75758050379305590 -------------- ************************************* p = 229; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8774419967579.438012 -------------- Searches starting with [229,241]-exponents: u = 1, v = 106 n_start has 255 digits starting right neighbors generation We generated 1514 left neighbors We generated 8496 right neighbors We generated 10009 non-negative rho_i D1(229,241) = 0.6147602597264034282 D2(229,241) = 0.003027694216120653651 C1(229,241) = 0.8374445904202459707 C2(229,241) = 1.216299318624798706 C3(229,241) = 4.126704334043528196 C4(229,241) = 1928 Sum = 4470.593765282872649 Averaged sum = 0.4466573848818935607 logp*logq = 29.80286178253499157 -------------- ************************************* p = 229; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10943592213966.62954 -------------- Searches starting with [229,251]-exponents: u = 1, v = 59 n_start has 144 digits starting right neighbors generation We generated 512 left neighbors We generated 9498 right neighbors We generated 10009 non-negative rho_i D1(229,251) = 0.6608702960964268447 D2(229,251) = 0.01055722919499698682 C1(229,251) = 0.9340820978922669046 C2(229,251) = 1.354033621573099174 C3(229,251) = 4.860056700964126174 C4(229,251) = 2008 Sum = 3637.247339539083807 Averaged sum = 0.3633976760454674599 logp*logq = 30.02377521496381891 -------------- ************************************* p = 229; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12442471061424.54195 -------------- Searches starting with [229,257]-exponents: u = 1, v = 47 n_start has 116 digits starting right neighbors generation We generated 321 left neighbors We generated 9689 right neighbors We generated 10009 non-negative rho_i D1(229,257) = 0.7926524285538457886 D2(229,257) = 0.04049516132095631279 C1(229,257) = 1.139231914181238437 C2(229,257) = 1.439889093378773321 C3(229,257) = 6.877750796345528439 C4(229,257) = 2056 Sum = 3285.425060348288228 Averaged sum = 0.3282470836595352411 logp*logq = 30.15213682189176975 -------------- ************************************* p = 229; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14104795640557.30623 -------------- Searches starting with [229,263]-exponents: u = 1, v = 39 n_start has 97 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(229,263) = 1.011128045522795772 D2(229,263) = 0.04196980448852066398 C1(229,263) = 1.347936580486394488 C2(229,263) = 1.493023717567264467 C3(229,263) = 9.791848753363827135 C4(229,263) = 2104 Sum = 4293.499637809335863 Averaged sum = 0.4289638962742867282 logp*logq = 30.27753597183779794 -------------- ************************************* p = 229; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15944041901505.16993 -------------- Searches starting with [229,269]-exponents: u = 1, v = 33 n_start has 83 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(229,269) = 1.000100253320567444 D2(229,269) = 0.03648952673024859271 C1(229,269) = 1.343154987362174330 C2(229,269) = 1.534464200753148464 C3(229,269) = 9.712918841743447908 C4(229,269) = 2152 Sum = 4482.244097362415691 Averaged sum = 0.4478213705027890589 logp*logq = 30.40010632687780940 -------------- ************************************* p = 229; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16598879409146.77572 -------------- Searches starting with [229,271]-exponents: u = 1, v = 32 n_start has 81 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(229,271) = 0.6748384789758756968 D2(229,271) = 0.06085091344650476437 C1(229,271) = 0.9084111327007475222 C2(229,271) = 1.569867674381979824 C3(229,271) = 4.653403111738660392 C4(229,271) = 2168 Sum = 4380.846560646175219 Averaged sum = 0.4376907344036542331 logp*logq = 30.44035630353936296 -------------- ************************************* p = 229; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18696317060286.62536 -------------- Searches starting with [229,277]-exponents: u = 1, v = 28 n_start has 71 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(229,277) = 0.6710682077547437317 D2(229,277) = 0.006856758772108154474 C1(229,277) = 0.9496393566809186032 C2(229,277) = 1.564394242048556187 C3(229,277) = 4.989734489194788521 C4(229,277) = 2216 Sum = 4370.698177167988395 Averaged sum = 0.4366768085890686777 logp*logq = 30.55934767174438333 -------------- ************************************* p = 229; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20211074862215.86709 -------------- Searches starting with [229,281]-exponents: u = 1, v = 26 n_start has 67 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(229,281) = 0.6683840309965129115 D2(229,281) = 0.07670426102510606098 C1(229,281) = 0.9507024046817695164 C2(229,281) = 1.649310763147755499 C3(229,281) = 4.998720805001925348 C4(229,281) = 2248 Sum = 4290.412180567021090 Averaged sum = 0.4286554281713478959 logp*logq = 30.63725183060156342 -------------- ************************************* p = 229; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21005155586106.48068 -------------- Searches starting with [229,283]-exponents: u = 1, v = 25 n_start has 64 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(229,283) = 1.054488403289654151 D2(229,283) = 0.05699706448784917170 C1(229,283) = 1.461800566824619175 C2(229,283) = 1.644408293572276628 C3(229,283) = 11.87314628818058616 C4(229,283) = 2264 Sum = 5258.038613726751582 Averaged sum = 0.5253310634156011172 logp*logq = 30.67578902762107963 -------------- ************************************* p = 229; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25367219601951.41943 -------------- Searches starting with [229,293]-exponents: u = 1, v = 22 n_start has 57 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(229,293) = 0.9181830742392563976 D2(229,293) = 0.08891835576883204862 C1(229,293) = 1.413858001566740467 C2(229,293) = 1.728488024099370853 C3(229,293) = 10.94771197400714033 C4(229,293) = 2344 Sum = 2055.381534982811696 Averaged sum = 0.2053533354963344685 logp*logq = 30.86447888960213169 -------------- ************************************* p = 229; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32690270687557.59863 -------------- Searches starting with [229,307]-exponents: u = 1, v = 18 n_start has 48 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(229,307) = 0.7123341196587959009 D2(229,307) = 0.1230725292886193353 C1(229,307) = 1.041453167968554209 C2(229,307) = 1.828106119727615577 C3(229,307) = 5.828670865761979789 C4(229,307) = 2456 Sum = 3914.499489816112003 Averaged sum = 0.3910979608168760119 logp*logq = 31.11809861706958942 -------------- ************************************* p = 229; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35072520314476.04262 -------------- Searches starting with [229,311]-exponents: u = 1, v = 17 n_start has 45 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(229,311) = 0.9245840873195066718 D2(229,311) = 0.07572185909239648990 C1(229,311) = 1.287058036768939082 C2(229,311) = 1.805636449273710175 C3(229,311) = 8.833097750052141146 C4(229,311) = 2488 Sum = 4515.961327931980235 Averaged sum = 0.4511900617376341528 logp*logq = 31.18843904275297200 -------------- ************************************* p = 229; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36315679763057.98437 -------------- Searches starting with [229,313]-exponents: u = 1, v = 17 n_start has 45 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(229,313) = 0.6518903339862254582 D2(229,313) = 0.1348799453567685925 C1(229,313) = 0.8959100254587040215 C2(229,313) = 1.865785298095285399 C3(229,313) = 4.555973027630118981 C4(229,313) = 2504 Sum = 4503.631463284356987 Averaged sum = 0.4499581839628691165 logp*logq = 31.22327071333160562 -------------- ************************************* p = 229; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38909956502516.30834 -------------- Searches starting with [229,317]-exponents: u = 1, v = 16 n_start has 43 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(229,317) = 0.7066382409143997307 D2(229,317) = 0.06640348763349364326 C1(229,317) = 0.9547716907198600466 C2(229,317) = 1.824353743544573054 C3(229,317) = 5.033269703284429589 C4(229,317) = 2536 Sum = 4271.491374765056163 Averaged sum = 0.4267650489324663966 logp*logq = 31.29227128502452199 -------------- ************************************* p = 229; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49209031197813.06471 -------------- Searches starting with [229,331]-exponents: u = 1, v = 14 n_start has 38 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(229,331) = 1.303140752825378139 D2(229,331) = 0.02304716577679416471 C1(229,331) = 1.835522129887463721 C2(229,331) = 1.846143518392699216 C3(229,331) = 22.35051702306425359 C4(229,331) = 2648 Sum = 6109.487602175641181 Averaged sum = 0.6103994007568829235 logp*logq = 31.52709828351272415 -------------- ************************************* p = 229; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54254805288125.24142 -------------- Searches starting with [229,337]-exponents: u = 1, v = 14 n_start has 38 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(229,337) = 0.8385306962422131616 D2(229,337) = 0.1048423418434455552 C1(229,337) = 1.362699763344075548 C2(229,337) = 1.206777957699924784 C3(229,337) = 10.03961535740690730 C4(229,337) = 2696 Sum = 4010.835357460990542 Averaged sum = 0.4007228851494645361 logp*logq = 31.62471268116606516 -------------- ************************************* p = 229; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63598103250992.79411 -------------- Searches starting with [229,347]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(229,347) = 0.7992962805940035614 D2(229,347) = 0.09519283684094886539 C1(229,347) = 1.312023513459873359 C2(229,347) = 1.233532518145390034 C3(229,347) = 9.214358260463050078 C4(229,347) = 2776 Sum = 4120.425063218156487 Averaged sum = 0.4116720015204472462 logp*logq = 31.78360476273230967 -------------- ************************************* p = 229; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65615504698554.69849 -------------- Searches starting with [229,349]-exponents: u = 1, v = 12 n_start has 33 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(229,349) = 0.7169301290800125021 D2(229,349) = 0.1178812093326621951 C1(229,349) = 1.176750907058663421 C2(229,349) = 1.317897836262506888 C3(229,349) = 7.328693356545425573 C4(229,349) = 2792 Sum = 4422.857366458020129 Averaged sum = 0.4418880374121310949 logp*logq = 31.81483313606394570 -------------- ************************************* p = 229; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69807080760119.10633 -------------- Searches starting with [229,353]-exponents: u = 1, v = 12 n_start has 33 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(229,353) = 0.8842852989945452445 D2(229,353) = 0.009516500269771183158 C1(229,353) = 1.195850197965168917 C2(229,353) = 1.916314516137175233 C3(229,353) = 7.569485997448078852 C4(229,353) = 2824 Sum = 4481.992260073935284 Averaged sum = 0.4477962094189165036 logp*logq = 31.87675656410654054 -------------- ************************************* p = 229; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76502024183961.43644 -------------- Searches starting with [229,359]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(229,359) = 0.7604659575716150079 D2(229,359) = 0.08406058888808388911 C1(229,359) = 1.262408409466159628 C2(229,359) = 1.266274188398441036 C3(229,359) = 8.472140691000446544 C4(229,359) = 2872 Sum = 4346.723099919556534 Averaged sum = 0.4342814566809428048 logp*logq = 31.96833831633204535 -------------- ************************************* p = 229; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86234773120492.04923 -------------- Searches starting with [229,367]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(229,367) = 0.7973069506479650060 D2(229,367) = 0.1050249409903951444 C1(229,367) = 1.216584402343370229 C2(229,367) = 1.760811639516635305 C3(229,367) = 7.839855353880973601 C4(229,367) = 2936 Sum = 3458.284175825249787 Averaged sum = 0.3455174518758367257 logp*logq = 32.08809461272384691 -------------- ************************************* p = 229; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94178304195738.85278 -------------- Searches starting with [229,373]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(229,373) = 0.6651999897499063814 D2(229,373) = 0.07304613720578172242 C1(229,373) = 0.9186373261330399452 C2(229,373) = 2.033509537551738763 C3(229,373) = 4.734650481338711078 C4(229,373) = 2984 Sum = 4002.775179724733673 Averaged sum = 0.3999175921395477743 logp*logq = 32.17621095459054147 -------------- ************************************* p = 229; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102709026863314.4542 -------------- Searches starting with [229,379]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(229,379) = 0.5664489361420428435 D2(229,379) = 0.08946200244475186485 C1(229,379) = 0.8015872459901167685 C2(229,379) = 1.784657967591447947 C3(229,379) = 3.883691395722130262 C4(229,379) = 3032 Sum = 4412.404995402600888 Averaged sum = 0.4408437401741033958 logp*logq = 32.26292112445631846 -------------- ************************************* p = 229; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108738670223958.6544 -------------- Searches starting with [229,383]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(229,383) = 0.6170531376030385906 D2(229,383) = 0.08388238993002949277 C1(229,383) = 0.8547255124094756999 C2(229,383) = 1.780998938182113544 C3(229,383) = 4.249193565809560805 C4(229,383) = 3064 Sum = 4126.599096383239982 Averaged sum = 0.4122888496736177422 logp*logq = 32.31996859862137988 -------------- ************************************* p = 229; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118322172970303.9137 -------------- Searches starting with [229,389]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(229,389) = 0.8235096377828193522 D2(229,389) = 0.01433564938127518895 C1(229,389) = 1.189685664559675704 C2(229,389) = 2.033726067272138618 C3(229,389) = 7.490914796973463682 C4(229,389) = 3112 Sum = 4583.101935865916693 Averaged sum = 0.4578980853098128378 logp*logq = 32.40443229936110138 -------------- ************************************* p = 229; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132161560889561.2605 -------------- Searches starting with [229,397]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(229,397) = 0.9514721672829198915 D2(229,397) = 0.06694551386257617245 C1(229,397) = 1.312090229612202074 C2(229,397) = 1.809618599623708827 C3(229,397) = 9.215398854161868794 C4(229,397) = 3176 Sum = 4274.451187587876140 Averaged sum = 0.4270607640711236027 logp*logq = 32.51504623623650525 -------------- ************************************* p = 229; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139560609008226.9726 -------------- Searches starting with [229,401]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(229,401) = 0.8031344009753336645 D2(229,401) = 0.06184957169806707519 C1(229,401) = 1.094051293581616756 C2(229,401) = 1.806393576474803420 C3(229,401) = 6.371391303583782581 C4(229,401) = 3208 Sum = 4382.182172303566660 Averaged sum = 0.4378241754724314777 logp*logq = 32.56952009601108109 -------------- ************************************* p = 229; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155374021255244.1923 -------------- Searches starting with [229,409]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(229,409) = 0.5729176048804506684 D2(229,409) = 0.04763033437817471689 C1(229,409) = 0.7923720670794938697 C2(229,409) = 1.648691598527988093 C3(229,409) = 3.823584203095823618 C4(229,409) = 3272 Sum = 4191.086366355193728 Averaged sum = 0.4187317780352876140 logp*logq = 32.67685636649738963 -------------- ************************************* p = 229; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 177166675021626.6731 -------------- Searches starting with [229,419]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(229,419) = 1.406673900918675931 D2(229,419) = 0.02408823870670801015 C1(229,419) = 2.440716250029304451 C2(229,419) = 1.028388198905431737 C3(229,419) = 62.25356225195951156 C4(229,419) = 3352 Sum = 3902.849842543149669 Averaged sum = 0.3899340436150614116 logp*logq = 32.80811207220119829 -------------- ************************************* p = 229; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 181810670174627.3694 -------------- Searches starting with [229,421]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(229,421) = 0.8167224731105653836 D2(229,421) = 0.03904800852682018162 C1(229,421) = 1.101179186739219194 C2(229,421) = 1.838723952607925517 C3(229,421) = 6.448726737423059421 C4(229,421) = 3368 Sum = 4311.006998270899481 Averaged sum = 0.4307130580748226078 logp*logq = 32.83398698777926212 -------------- ************************************* p = 229; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 206546153117215.7302 -------------- Searches starting with [229,431]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(229,431) = 0.6682501883026157545 D2(229,431) = 0.02778687619523391289 C1(229,431) = 0.9604325208869073386 C2(229,431) = 1.831944789152040048 C3(229,431) = 5.081728564572626623 C4(229,431) = 3448 Sum = 3797.456946322462679 Averaged sum = 0.3794042308245042141 logp*logq = 32.96154500513511852 -------------- ************************************* p = 229; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 211807968353544.8568 -------------- Searches starting with [229,433]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(229,433) = 0.7542527897673372238 D2(229,433) = 0.02560267985976189654 C1(229,433) = 1.005190219421759204 C2(229,433) = 1.830644228573012396 C3(229,433) = 5.481668046895316944 C4(229,433) = 3464 Sum = 4262.734624868359305 Averaged sum = 0.4258901613416284649 logp*logq = 32.98670117045400186 -------------- ************************************* p = 229; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 228253584930821.3410 -------------- Searches starting with [229,439]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(229,439) = 0.7540748021998189530 D2(229,439) = 0.01751739103420766864 C1(229,439) = 0.9980699982761124886 C2(229,439) = 1.668638057139709296 C3(229,439) = 5.416000257029097806 C4(229,439) = 3512 Sum = 3992.566433860967755 Averaged sum = 0.3988976355141340549 logp*logq = 33.06147834143941528 -------------- ************************************* p = 229; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239785080387569.7453 -------------- Searches starting with [229,443]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(229,443) = 0.7728994594055166319 D2(229,443) = 0.01237731318480249751 C1(229,443) = 1.031634595357034821 C2(229,443) = 1.505601087162071504 C3(229,443) = 5.732603768748172327 C4(229,443) = 3544 Sum = 4172.291638431652544 Averaged sum = 0.4168539952474425561 logp*logq = 33.11076413968720179 -------------- ************************************* p = 229; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 257970058382481.3050 -------------- Searches starting with [229,449]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(229,449) = 0.7784189561658653123 D2(229,449) = 0.006084621839671944632 C1(229,449) = 1.378335598347209872 C2(229,449) = 1.248439394374811662 C3(229,449) = 10.30886698872223083 C4(229,449) = 3592 Sum = 4165.486023531126692 Averaged sum = 0.4161740457119718945 logp*logq = 33.18386464133444037 -------------- ************************************* p = 229; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 283952164744533.0479 -------------- Searches starting with [229,457]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(229,457) = 0.5957652657415383813 D2(229,457) = 0.0009980907019643129332 C1(229,457) = 1.054710976919726683 C2(229,457) = 1.872058400148980816 C3(229,457) = 5.960947725509256524 C4(229,457) = 3656 Sum = 4093.786117919595630 Averaged sum = 0.4090105023398536946 logp*logq = 33.27982690590503229 -------------- ************************************* p = 229; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 297721589640629.7458 -------------- Searches starting with [229,461]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(229,461) = 0.6159643642109919286 D2(229,461) = 0.06333187726534949070 C1(229,461) = 0.8243199990551903292 C2(229,461) = 1.576654223442697863 C3(229,461) = 4.036040363880373229 C4(229,461) = 3688 Sum = 4201.328772292744148 Averaged sum = 0.4197550976413971573 logp*logq = 33.32717990278740149 -------------- ************************************* p = 229; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 304807804765281.3248 -------------- Searches starting with [229,463]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(229,463) = 0.6742746479902741835 D2(229,463) = 0.08069348166178160133 C1(229,463) = 0.9519066784714010886 C2(229,463) = 1.665615885189321303 C3(229,463) = 5.008920505137060572 C4(229,463) = 3704 Sum = 4304.144153035076036 Averaged sum = 0.4300273906519208748 logp*logq = 33.35070254559851284 -------------- ************************************* p = 229; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 319393349131252.7052 -------------- Searches starting with [229,467]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(229,467) = 1.217750784349720874 D2(229,467) = 0.1187609286713277583 C1(229,467) = 1.704558468851469405 C2(229,467) = 1.809976061570958230 C3(229,467) = 17.90673988833558656 C4(229,467) = 3736 Sum = 5158.000124249674194 Averaged sum = 0.5153362098361149160 logp*logq = 33.39744452848468318 -------------- ************************************* p = 229; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 366604723365824.3564 -------------- Searches starting with [229,479]-exponents: u = 17, v = 7 n_start has 59 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(229,479) = 0.8420514275378042896 D2(229,479) = 0.1059225477341688126 C1(229,479) = 1.157253416030667731 C2(229,479) = 1.817764398964958805 C3(229,479) = 7.090779742136979982 C4(229,479) = 3832 Sum = 4422.198351318172804 Averaged sum = 0.4418221951561767214 logp*logq = 33.53530533550053612 -------------- ************************************* p = 229; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 401130099951948.2886 -------------- Searches starting with [229,487]-exponents: u = 33, v = 7 n_start has 97 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(229,487) = 0.9761432759381401160 D2(229,487) = 0.03942962189033913822 C1(229,487) = 1.421066390957209286 C2(229,487) = 1.754422743364630757 C3(229,487) = 11.08210425165720796 C4(229,487) = 3896 Sum = 4995.059045230484881 Averaged sum = 0.4990567534449480348 logp*logq = 33.62530692939914967 -------------- ************************************* p = 229; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 419361654583070.1996 -------------- Searches starting with [229,491]-exponents: u = 65, v = 7 n_start has 173 digits starting right neighbors generation We generated 2292 left neighbors We generated 7718 right neighbors We generated 10009 non-negative rho_i D1(229,491) = 0.8899648884454479646 D2(229,491) = 0.01054299255665374500 C1(229,491) = 1.250826529761244116 C2(229,491) = 1.727092087181485069 C3(229,491) = 8.307672148821395420 C4(229,491) = 3928 Sum = 3982.130170892501084 Averaged sum = 0.3978549476363773687 logp*logq = 33.66975480099154535 -------------- ************************************* p = 229; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 457855359814823.6195 -------------- Searches starting with [229,499]-exponents: u = 8, v = 293 n_start has 810 digits --- performed 5000 steps in the continued fraction search [229,499]-exponents: u = 297, v = 25 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,499) = 0.7615415493812747403 D2(229,499) = 0.3096376301629005369 C1(229,499) = 0.9832435156208652836 C2(229,499) = 1.426343193064212231 C3(229,499) = 5.281773426131383771 C4(229,499) = 3992 Sum = 5308.736807726883612 Averaged sum = 0.5309267734500333645 logp*logq = 33.75757444190022441 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,499) = 0.7615415493812747403 D2(229,499) = 0.3096376301629005369 C1(229,499) = 0.9832435156208652836 C2(229,499) = 1.426343193064212231 C3(229,499) = 5.281773426131383771 C4(229,499) = 3992 Sum = 5308.736807726883612 Averaged sum = 0.5309267734500333645 logp*logq = 33.75757444190022441 -------------- ************************************* p = 229; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 478155774002158.6549 -------------- Searches starting with [229,503]-exponents: u = 8, v = 69 n_start has 206 digits starting right neighbors generation We generated 3178 left neighbors We generated 6832 right neighbors We generated 10009 non-negative rho_i D1(229,503) = 0.5613291255514322897 D2(229,503) = 0.02240593454125119692 C1(229,503) = 0.7740785421494559759 C2(229,503) = 1.665549747345762354 C3(229,503) = 3.707004692496716520 C4(229,503) = 4024 Sum = 4457.138185051362134 Averaged sum = 0.4453130367720413761 logp*logq = 33.80095768236416334 -------------- ************************************* p = 229; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 509978622212794.5299 -------------- Searches starting with [229,509]-exponents: u = 8, v = 34 n_start has 111 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(229,509) = 0.8258017388136517550 D2(229,509) = 0.01936483619881480999 C1(229,509) = 1.207341273028568314 C2(229,509) = 1.532260471151705210 C3(229,509) = 7.718154172904939244 C4(229,509) = 4072 Sum = 3310.970239515910387 Averaged sum = 0.3307993045774713145 logp*logq = 33.86538992353855339 -------------- ************************************* p = 229; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 578816519144169.5575 -------------- Searches starting with [229,521]-exponents: u = 8, v = 13 n_start has 55 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(229,521) = 0.6408200496902972556 D2(229,521) = 0.09068933697158855594 C1(229,521) = 0.8612818029075876530 C2(229,521) = 1.853513499340023367 C3(229,521) = 4.296610915099910800 C4(229,521) = 4168 Sum = 4135.487443598971798 Averaged sum = 0.4131768851632502546 logp*logq = 33.99200665061062323 -------------- ************************************* p = 229; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 590993145027911.1463 -------------- Searches starting with [229,523]-exponents: u = 8, v = 13 n_start has 55 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(229,523) = 0.7188224617746610868 D2(229,523) = 0.1032319960751793406 C1(229,523) = 0.9636403094292239366 C2(229,523) = 1.866714894789062838 C3(229,523) = 5.109395262752339376 C4(229,523) = 4184 Sum = 4332.967814699348701 Averaged sum = 0.4329071650214155960 logp*logq = 34.01282553432983362 -------------- ************************************* p = 229; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 710287414396911.2159 -------------- Searches starting with [229,541]-exponents: u = 22, v = 6 n_start has 69 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(229,541) = 0.7091155659874298687 D2(229,541) = 0.04945098377905403956 C1(229,541) = 1.097420253730266893 C2(229,541) = 1.839343995182436309 C3(229,541) = 6.407827210349023523 C4(229,541) = 4328 Sum = 3987.650239134186934 Averaged sum = 0.3984064581011276785 logp*logq = 34.19669081306058159 -------------- ************************************* p = 229; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 754157371745706.0852 -------------- Searches starting with [229,547]-exponents: u = 29, v = 6 n_start has 85 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(229,547) = 0.6724522718564468074 D2(229,547) = 0.01380962347099397123 C1(229,547) = 0.8914023330036293491 C2(229,547) = 1.805864045899798370 C3(229,547) = 4.521344002649913620 C4(229,547) = 4376 Sum = 3895.176440417556028 Averaged sum = 0.3891673933877066668 logp*logq = 34.25662217800149446 -------------- ************************************* p = 229; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 832173328935595.8534 -------------- Searches starting with [229,557]-exponents: u = 57, v = 6 n_start has 151 digits starting right neighbors generation We generated 1630 left neighbors We generated 8380 right neighbors We generated 10009 non-negative rho_i D1(229,557) = 0.6936619387675341104 D2(229,557) = 0.002266316757472952607 C1(229,557) = 0.9759788407077347081 C2(229,557) = 1.688842649284652045 C3(229,557) = 5.217224480786130661 C4(229,557) = 4456 Sum = 4562.480283286718845 Averaged sum = 0.4558377743317732885 logp*logq = 34.35506186310007365 -------------- ************************************* p = 229; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 882059711788679.9008 -------------- Searches starting with [229,563]-exponents: u = 169, v = 6 n_start has 416 digits --- performed 5000 steps in the continued fraction search [229,563]-exponents: u = 9, v = 110 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,563) = 0.5335330183627342382 D2(229,563) = 0.07014435027268785655 C1(229,563) = 0.7349178435758683118 C2(229,563) = 1.429113130456769818 C3(229,563) = 3.469254876864061332 C4(229,563) = 4504 Sum = 4853.081625626917527 Averaged sum = 0.4853566982325150042 logp*logq = 34.41328087008444826 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,563) = 0.5335330183627342382 D2(229,563) = 0.07014435027268785655 C1(229,563) = 0.7349178435758683118 C2(229,563) = 1.429113130456769818 C3(229,563) = 3.469254876864061332 C4(229,563) = 4504 Sum = 4853.081625626917527 Averaged sum = 0.4853566982325150042 logp*logq = 34.41328087008444826 -------------- ************************************* p = 229; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 934359798143159.4835 -------------- Searches starting with [229,569]-exponents: u = 7, v = 197 n_start has 560 digits --- performed 5000 steps in the continued fraction search [229,569]-exponents: u = 195, v = 13 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,569) = 0.6240092553890732994 D2(229,569) = 0.1959128516504072007 C1(229,569) = 0.8182350115911085773 C2(229,569) = 1.413636350995614493 C3(229,569) = 3.994684112767932163 C4(229,569) = 4552 Sum = 5040.591803762376073 Averaged sum = 0.5041095913353711444 logp*logq = 34.47088270282946647 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,569) = 0.6240092553890732994 D2(229,569) = 0.1959128516504072007 C1(229,569) = 0.8182350115911085773 C2(229,569) = 1.413636350995614493 C3(229,569) = 3.994684112767932163 C4(229,569) = 4552 Sum = 5040.591803762376073 Averaged sum = 0.5041095913353711444 logp*logq = 34.47088270282946647 -------------- ************************************* p = 229; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 952344936766116.3785 -------------- Searches starting with [229,571]-exponents: u = 7, v = 107 n_start has 312 digits --- performed 5000 steps in the continued fraction search [229,571]-exponents: u = 20, v = 43 --- starting right neighbors generation We generated 6900 left neighbors We generated 3110 right neighbors We generated 10009 non-negative rho_i D1(229,571) = 0.8522688546149314154 D2(229,571) = 0.007654960260824748420 C1(229,571) = 1.147708038873545026 C2(229,571) = 1.535612468605495406 C3(229,571) = 6.977136397907167179 C4(229,571) = 4568 Sum = 4694.819242150832334 Averaged sum = 0.4690597704217037001 logp*logq = 34.48994841363061754 -------------- ************************************* p = 229; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1008002876929201.059 -------------- Searches starting with [229,577]-exponents: u = 7, v = 47 n_start has 147 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(229,577) = 0.8684063319007449309 D2(229,577) = 0.04187284063851790634 C1(229,577) = 1.153959956201597930 C2(229,577) = 1.680100374195648228 C3(229,577) = 7.051361522419781162 C4(229,577) = 4616 Sum = 3888.561593154114683 Averaged sum = 0.3885065034622954024 logp*logq = 34.54674741865221883 -------------- ************************************* p = 229; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1106648680749740.034 -------------- Searches starting with [229,587]-exponents: u = 7, v = 23 n_start has 81 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(229,587) = 0.8410868702672562932 D2(229,587) = 0.08154419755528815050 C1(229,587) = 1.125591145665778762 C2(229,587) = 1.806126251446242086 C3(229,587) = 6.720771687586303293 C4(229,587) = 4696 Sum = 4309.299361582862988 Averaged sum = 0.4305424479551266848 logp*logq = 34.64011263670432987 -------------- ************************************* p = 229; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1169521753899257.743 -------------- Searches starting with [229,593]-exponents: u = 7, v = 17 n_start has 64 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(229,593) = 0.6797538843616781615 D2(229,593) = 0.006908291070038970419 C1(229,593) = 0.9785912527873919486 C2(229,593) = 1.733859068748341795 C3(229,593) = 5.240345252931903584 C4(229,593) = 4744 Sum = 3756.502942454851258 Averaged sum = 0.3753125129837997060 logp*logq = 34.69537130280522984 -------------- ************************************* p = 229; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1235279511106180.131 -------------- Searches starting with [229,599]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(229,599) = 0.6565940672067627774 D2(229,599) = 0.03043209401739074603 C1(229,599) = 1.027577521461311445 C2(229,599) = 1.884807362223812547 C3(229,599) = 5.693372251131533160 C4(229,599) = 4792 Sum = 4114.635334973136187 Averaged sum = 0.4110935493029409718 logp*logq = 34.75007366416536800 -------------- ************************************* p = 229; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1257857268405273.807 -------------- Searches starting with [229,601]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(229,601) = 1.115799459432193990 D2(229,601) = 0.03834360349715562095 C1(229,601) = 1.506312124364638557 C2(229,601) = 1.893308148978520611 C3(229,601) = 12.80224545714934169 C4(229,601) = 4808 Sum = 4512.913194860998460 Averaged sum = 0.4508855225158355940 logp*logq = 34.76818608761465701 -------------- ************************************* p = 229; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1327619524647607.098 -------------- Searches starting with [229,607]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(229,607) = 0.7201089682718516105 D2(229,607) = 0.06289278177743596850 C1(229,607) = 1.038471940126952213 C2(229,607) = 1.919613223404570363 C3(229,607) = 5.799332899855310900 C4(229,607) = 4856 Sum = 4195.199348851058082 Averaged sum = 0.4191427064493014369 logp*logq = 34.82216390239084614 -------------- ************************************* p = 229; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1400507098604723.916 -------------- Searches starting with [229,613]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(229,613) = 0.9678654982351544148 D2(229,613) = 0.07220344373626516532 C1(229,613) = 1.284708701378397060 C2(229,613) = 1.299726311830731425 C3(229,613) = 8.798042309207042750 C4(229,613) = 4904 Sum = 4290.302683862461766 Averaged sum = 0.4286444883467341159 logp*logq = 34.87561077923758961 -------------- ************************************* p = 229; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1450888010825487.806 -------------- Searches starting with [229,617]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(229,617) = 0.7820961997872272677 D2(229,617) = 0.07078947058126307985 C1(229,617) = 1.298205833187928056 C2(229,617) = 1.300203452203532503 C3(229,617) = 9.001352158112057292 C4(229,617) = 4936 Sum = 4238.136429393694536 Averaged sum = 0.4234325536410924704 logp*logq = 34.91095218514875591 -------------- ************************************* p = 229; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1476627345106932.222 -------------- Searches starting with [229,619]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(229,619) = 0.6136588612771707246 D2(229,619) = 0.07803800923713343086 C1(229,619) = 1.018615757900649868 C2(229,619) = 1.964433801348352278 C3(229,619) = 5.607661771446953283 C4(229,619) = 4952 Sum = 4324.346062074600524 Averaged sum = 0.4320457650189430036 logp*logq = 34.92853706134931553 -------------- ************************************* p = 229; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1639008251176282.454 -------------- Searches starting with [229,631]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(229,631) = 0.5848311934814498594 D2(229,631) = 0.02059246795298292288 C1(229,631) = 0.8178312235870350053 C2(229,631) = 1.910891726517883570 C3(229,631) = 3.991954833123284380 C4(229,631) = 5048 Sum = 3976.107358869366282 Averaged sum = 0.3972532079997368650 logp*logq = 35.03286772893443597 -------------- ************************************* p = 229; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1785197359700773.906 -------------- Searches starting with [229,641]-exponents: u = 19, v = 5 n_start has 59 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(229,641) = 0.5872461787682004525 D2(229,641) = 0.1144811700041997667 C1(229,641) = 0.7975092297458570292 C2(229,641) = 1.887687212637386552 C3(229,641) = 3.856976330339172485 C4(229,641) = 5128 Sum = 4199.457261734527290 Averaged sum = 0.4195681148700696663 logp*logq = 35.11830536968905259 -------------- ************************************* p = 229; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1815673496513034.807 -------------- Searches starting with [229,643]-exponents: u = 19, v = 5 n_start has 59 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(229,643) = 0.9991343238653230437 D2(229,643) = 0.09556917159365229778 C1(229,643) = 1.352998183820938738 C2(229,643) = 1.869384765298432405 C3(229,643) = 9.876099760820788511 C4(229,643) = 5144 Sum = 4484.405886666320053 Averaged sum = 0.4480373550470896246 logp*logq = 35.13523286625611365 -------------- ************************************* p = 229; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1877899904057309.077 -------------- Searches starting with [229,647]-exponents: u = 25, v = 5 n_start has 74 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(229,647) = 0.7265212915035626409 D2(229,647) = 0.06077541621007143448 C1(229,647) = 1.006359599833705489 C2(229,647) = 1.835804379956356876 C3(229,647) = 5.492528776639732569 C4(229,647) = 5176 Sum = 4175.151457873531837 Averaged sum = 0.4171397200393177977 logp*logq = 35.16893047505229224 -------------- ************************************* p = 229; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1974493421822070.778 -------------- Searches starting with [229,653]-exponents: u = 31, v = 5 n_start has 88 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(229,653) = 0.5427415572144252332 D2(229,653) = 0.01444122947223959239 C1(229,653) = 0.7426618217543068479 C2(229,653) = 1.791276095275806593 C3(229,653) = 3.515027975236497064 C4(229,653) = 5224 Sum = 4274.834746635182068 Averaged sum = 0.4270990854865802845 logp*logq = 35.21908826508326596 -------------- ************************************* p = 229; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2075103212693934.761 -------------- Searches starting with [229,659]-exponents: u = 43, v = 5 n_start has 116 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(229,659) = 0.7567326915138819238 D2(229,659) = 0.03403657981916655656 C1(229,659) = 1.097279363172385972 C2(229,659) = 1.730346815404045810 C3(229,659) = 6.406299287299297225 C4(229,659) = 5272 Sum = 3192.533033134096352 Averaged sum = 0.3189662337030768660 logp*logq = 35.26878728841361947 -------------- ************************************* p = 229; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2109554378915134.322 -------------- Searches starting with [229,661]-exponents: u = 43, v = 5 n_start has 116 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(229,661) = 0.8536079191745561715 D2(229,661) = 0.01361561873443725262 C1(229,661) = 1.224860765143495306 C2(229,661) = 1.710499614993737975 C3(229,661) = 7.950454983400895739 C4(229,661) = 5288 Sum = 4830.397082004315068 Averaged sum = 0.4826053633733954509 logp*logq = 35.28525312526694188 -------------- ************************************* p = 229; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2326203371593528.204 -------------- Searches starting with [229,673]-exponents: u = 145, v = 5 n_start has 357 digits --- performed 5000 steps in the continued fraction search [229,673]-exponents: u = 3, v = 82 --- starting right neighbors generation We generated 8151 left neighbors We generated 1859 right neighbors We generated 10009 non-negative rho_i D1(229,673) = 0.6568780997129670240 D2(229,673) = 0.002592537415388136264 C1(229,673) = 0.8784824698924600519 C2(229,673) = 1.467707588159454162 C3(229,673) = 4.423542388436252298 C4(229,673) = 5384 Sum = 4711.796877846975051 Averaged sum = 0.4707560073780572536 logp*logq = 35.38301387923211309 -------------- ************************************* p = 229; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2402325947063161.279 -------------- Searches starting with [229,677]-exponents: u = 463, v = 5 n_start has 1107 digits --- performed 5000 steps in the continued fraction search [229,677]-exponents: u = 216, v = 200 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,677) = 0.6189611715538451492 D2(229,677) = 0.3231256940222154529 C1(229,677) = 0.7896544497091978985 C2(229,677) = 1.427338669018706647 C3(229,677) = 3.806036467613454320 C4(229,677) = 5416 Sum = 5441.942428679611260 Averaged sum = 0.5442486677347345994 logp*logq = 35.41521380755679836 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,677) = 0.6189611715538451492 D2(229,677) = 0.3231256940222154529 C1(229,677) = 0.7896544497091978985 C2(229,677) = 1.427338669018706647 C3(229,677) = 3.806036467613454320 C4(229,677) = 5416 Sum = 5441.942428679611260 Averaged sum = 0.5442486677347345994 logp*logq = 35.41521380755679836 -------------- ************************************* p = 229; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2520311058006798.142 -------------- Searches starting with [229,683]-exponents: u = 6, v = 179 n_start has 522 digits --- performed 5000 steps in the continued fraction search [229,683]-exponents: u = 101, v = 75 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,683) = 0.6893568758142456542 D2(229,683) = 0.1341321455553950403 C1(229,683) = 0.9066166597084676239 C2(229,683) = 1.407217616291850831 C3(229,683) = 4.639290454375020087 C4(229,683) = 5464 Sum = 4957.463254581225868 Averaged sum = 0.4957959050486274495 logp*logq = 35.46315872453343932 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,683) = 0.6893568758142456542 D2(229,683) = 0.1341321455553950403 C1(229,683) = 0.9066166597084676239 C2(229,683) = 1.407217616291850831 C3(229,683) = 4.639290454375020087 C4(229,683) = 5464 Sum = 4957.463254581225868 Averaged sum = 0.4957959050486274495 logp*logq = 35.46315872453343932 -------------- ************************************* p = 229; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2684938513798893.610 -------------- Searches starting with [229,691]-exponents: u = 6, v = 59 n_start has 182 digits starting right neighbors generation We generated 2058 left neighbors We generated 7952 right neighbors We generated 10009 non-negative rho_i D1(229,691) = 1.193021885305837707 D2(229,691) = 0.01161008456960721472 C1(229,691) = 1.597114764234675950 C2(229,691) = 1.622905073435797347 C3(229,691) = 14.92914497900036676 C4(229,691) = 5528 Sum = 4327.533451778760635 Averaged sum = 0.4323642173822320547 logp*logq = 35.52643422272062660 -------------- ************************************* p = 229; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2902957048369798.126 -------------- Searches starting with [229,701]-exponents: u = 6, v = 29 n_start has 97 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(229,701) = 1.096119572926277388 D2(229,701) = 0.02273564214523681404 C1(229,701) = 1.595724440530271820 C2(229,701) = 1.756923152434286655 C3(229,701) = 14.89405359185429340 C4(229,701) = 5608 Sum = 5418.604971913906329 Averaged sum = 0.5413732612562599988 logp*logq = 35.60450628424255027 -------------- ************************************* p = 229; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3087586777889139.021 -------------- Searches starting with [229,709]-exponents: u = 6, v = 24 n_start has 83 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(229,709) = 0.6843606948939753038 D2(229,709) = 0.09765834066111802942 C1(229,709) = 0.9152364785039750063 C2(229,709) = 1.833635066373369609 C3(229,709) = 4.707474433044950871 C4(229,709) = 5672 Sum = 4162.009009927586258 Averaged sum = 0.4158266570014573142 logp*logq = 35.66616620266872046 -------------- ************************************* p = 229; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3331736371136782.728 -------------- Searches starting with [229,719]-exponents: u = 6, v = 14 n_start has 55 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(229,719) = 1.156046938613040978 D2(229,719) = 0.05570488932491081751 C1(229,719) = 1.780112257960314761 C2(229,719) = 1.888109288634011313 C3(229,719) = 20.34960202744164942 C4(229,719) = 5752 Sum = 4464.688031384739878 Averaged sum = 0.4460673425301968106 logp*logq = 35.74226999577801690 -------------- ************************************* p = 229; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3538200929173730.513 -------------- Searches starting with [229,727]-exponents: u = 6, v = 14 n_start has 55 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(229,727) = 1.137345859776901222 D2(229,727) = 0.1077536853053790146 C1(229,727) = 1.519541097592953134 C2(229,727) = 1.942004825572869259 C3(229,727) = 13.09214280132067583 C4(229,727) = 5816 Sum = 4140.965422828672880 Averaged sum = 0.4137241905114070217 logp*logq = 35.80239478077501364 -------------- ************************************* p = 229; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3699802227091357.035 -------------- Searches starting with [229,733]-exponents: u = 6, v = 14 n_start has 55 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(229,733) = 0.9541792948873459276 D2(229,733) = 0.09646754140644204417 C1(229,733) = 1.524255951249151351 C2(229,733) = 1.196535724105745108 C3(229,733) = 13.19704235161395570 C4(229,733) = 5864 Sum = 2765.893390998544441 Averaged sum = 0.2763406325305769249 logp*logq = 35.84705576099477654 -------------- ************************************* p = 229; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3867376066832656.484 -------------- Searches starting with [229,739]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(229,739) = 0.6656027140982217486 D2(229,739) = 0.1291651041344949211 C1(229,739) = 0.9385843825830776954 C2(229,739) = 1.887179777265504971 C3(229,739) = 4.897235104207877988 C4(229,739) = 5912 Sum = 3800.924790829987512 Averaged sum = 0.3797507034498938467 logp*logq = 35.89135265308731660 -------------- ************************************* p = 229; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3982493625134189.438 -------------- Searches starting with [229,743]-exponents: u = 6, v = 9 n_start has 40 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(229,743) = 0.6526555139330901448 D2(229,743) = 0.1137397503005132170 C1(229,743) = 0.9101369275107354281 C2(229,743) = 1.872737154469596658 C3(229,743) = 4.667016144420034952 C4(229,743) = 5944 Sum = 4311.703945851748342 Averaged sum = 0.4307826901640272097 logp*logq = 35.92068455699186975 -------------- ************************************* p = 229; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4221122928867664.633 -------------- Searches starting with [229,751]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(229,751) = 0.6507675383445677287 D2(229,751) = 0.004658959212118946344 C1(229,751) = 0.9514442865063896819 C2(229,751) = 1.989443892295409749 C3(229,751) = 5.005001777660326115 C4(229,751) = 6008 Sum = 3920.806560521788294 Averaged sum = 0.3917281007614934852 logp*logq = 35.97887758444918027 -------------- ************************************* p = 229; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4407645227562470.182 -------------- Searches starting with [229,757]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(229,757) = 0.7742577874913499729 D2(229,757) = 0.01957344859740718612 C1(229,757) = 1.093053164909075182 C2(229,757) = 2.005813843658152724 C3(229,757) = 6.360636200305137081 C4(229,757) = 6056 Sum = 3698.544370859246891 Averaged sum = 0.3695218674052599551 logp*logq = 36.02211697975698676 -------------- ************************************* p = 229; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4535688391095623.926 -------------- Searches starting with [229,761]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(229,761) = 0.6837856271007734118 D2(229,761) = 0.02973448283948662504 C1(229,761) = 1.166655354092064292 C2(229,761) = 2.016938658054611028 C3(229,761) = 7.204524716878171681 C4(229,761) = 6088 Sum = 4336.135941073929508 Averaged sum = 0.4332236927838874521 logp*logq = 36.05075326212799222 -------------- ************************************* p = 229; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4800886660111962.265 -------------- Searches starting with [229,769]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(229,769) = 0.8161426822508002356 D2(229,769) = 0.03201149925150600637 C1(229,769) = 1.392240810273650633 C2(229,769) = 1.289430474935651602 C3(229,769) = 10.55437744858050674 C4(229,769) = 6152 Sum = 4319.178113889652140 Averaged sum = 0.4315294348975574123 logp*logq = 36.10757701662239258 -------------- ************************************* p = 229; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4938152143365959.584 -------------- Searches starting with [229,773]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(229,773) = 0.9272382175376694333 D2(229,773) = 0.02093833331247999833 C1(229,773) = 1.283391150842946950 C2(229,773) = 2.047359295243969046 C3(229,773) = 8.778443497588397232 C4(229,773) = 6184 Sum = 5081.321102356501624 Averaged sum = 0.5076752025533521454 logp*logq = 36.13576759608522910 -------------- ************************************* p = 229; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5444043979246841.243 -------------- Searches starting with [229,787]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(229,787) = 0.9330870985052606001 D2(229,787) = 0.08420199306568618247 C1(229,787) = 1.412296765359332258 C2(229,787) = 1.744175837957328118 C3(229,787) = 10.91881989071635783 C4(229,787) = 6296 Sum = 3332.620026595141989 Averaged sum = 0.3329623365566132469 logp*logq = 36.23329855814759033 -------------- ************************************* p = 229; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5830662765353941.937 -------------- Searches starting with [229,797]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(229,797) = 0.9671392752619052472 D2(229,797) = 0.1180040536263526411 C1(229,797) = 1.346295730370053407 C2(229,797) = 1.905228809771506379 C3(229,797) = 9.764691162538332472 C4(229,797) = 6376 Sum = 4253.453953764365091 Averaged sum = 0.4249629287405699961 logp*logq = 36.30190707069068343 -------------- ************************************* p = 229; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6323883593543092.318 -------------- Searches starting with [229,809]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(229,809) = 0.5489074730856958512 D2(229,809) = 0.09849575107993275120 C1(229,809) = 0.7683384567825891996 C2(229,809) = 1.997496916881728851 C3(229,809) = 3.671162545316910216 C4(229,809) = 6472 Sum = 4273.548081722834550 Averaged sum = 0.4269705346910614997 logp*logq = 36.38310990699537557 -------------- ************************************* p = 229; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6409300357892127.452 -------------- Searches starting with [229,811]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(229,811) = 0.5728772030791230215 D2(229,811) = 0.08631504454856683253 C1(229,811) = 0.8171075834057445920 C2(229,811) = 1.985820572213416426 C3(229,811) = 3.987068276547869536 C4(229,811) = 6488 Sum = 4102.468978138906473 Averaged sum = 0.4098780076070443074 logp*logq = 36.39652651135135962 -------------- ************************************* p = 229; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6850630420849220.720 -------------- Searches starting with [229,821]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(229,821) = 0.7576073118054307221 D2(229,821) = 0.03114578809382652135 C1(229,821) = 0.9941789019928418452 C2(229,821) = 1.933154409274319581 C3(229,821) = 5.380446798352229085 C4(229,821) = 6568 Sum = 3935.366746864866096 Averaged sum = 0.3931828101573449991 logp*logq = 36.46311707519087448 -------------- ************************************* p = 229; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6941802184729014.257 -------------- Searches starting with [229,823]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(229,823) = 0.9307391314628439788 D2(229,823) = 0.02106128712956860412 C1(229,823) = 1.448190308306346024 C2(229,823) = 1.923566826669006261 C3(229,823) = 11.60275048400796217 C4(229,823) = 6584 Sum = 2362.321264061443492 Averaged sum = 0.2360197086683428407 logp*logq = 36.47633781651486422 -------------- ************************************* p = 229; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7127116908701862.972 -------------- Searches starting with [229,827]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(229,827) = 0.7228248253446769286 D2(229,827) = 0.001667981008616285157 C1(229,827) = 1.012783238955295155 C2(229,827) = 1.905163705049978924 C3(229,827) = 5.552573825066843455 C4(229,827) = 6616 Sum = 3979.676690458909019 Averaged sum = 0.3976098202077039683 logp*logq = 36.50268318693020982 -------------- ************************************* p = 229; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7221276449055898.274 -------------- Searches starting with [229,829]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(229,829) = 0.7382620287049989891 D2(229,829) = 0.1318382310101836178 C1(229,829) = 1.062826558040265725 C2(229,829) = 1.943014806383460979 C3(229,829) = 6.043396044793010155 C4(229,829) = 6632 Sum = 3847.367863143617419 Averaged sum = 0.3843908345632548126 logp*logq = 36.51580812568733820 -------------- ************************************* p = 229; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7707431963156700.659 -------------- Searches starting with [229,839]-exponents: u = 26, v = 4 n_start has 74 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(229,839) = 0.5981497603978715595 D2(229,839) = 0.04992939384655969357 C1(229,839) = 0.8030295884792544867 C2(229,839) = 1.863469700879197801 C3(229,839) = 3.893184405621421897 C4(229,839) = 6712 Sum = 4056.741075161664112 Averaged sum = 0.4053093291199584486 logp*logq = 36.58096144829429070 -------------- ************************************* p = 229; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8432614404823468.324 -------------- Searches starting with [229,853]-exponents: u = 36, v = 4 n_start has 97 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(229,853) = 0.5992648783352126139 D2(229,853) = 0.02978898814573906789 C1(229,853) = 0.8327767940982272993 C2(229,853) = 1.777799311048541829 C3(229,853) = 4.094228424489638040 C4(229,853) = 6824 Sum = 4227.454179745861611 Averaged sum = 0.4223652892142932971 logp*logq = 36.67088324990229040 -------------- ************************************* p = 229; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8649727547177591.862 -------------- Searches starting with [229,857]-exponents: u = 41, v = 4 n_start has 109 digits starting right neighbors generation We generated 532 left neighbors We generated 9478 right neighbors We generated 10009 non-negative rho_i D1(229,857) = 0.8088853479800849898 D2(229,857) = 0.06162279492502838122 C1(229,857) = 1.115461076984698286 C2(229,857) = 1.756677141632549823 C3(229,857) = 6.606516969513869447 C4(229,857) = 6856 Sum = 4607.492230158400625 Averaged sum = 0.4603349215864122915 logp*logq = 36.69630421792230201 -------------- ************************************* p = 229; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8759981975922314.691 -------------- Searches starting with [229,859]-exponents: u = 46, v = 4 n_start has 121 digits **************************************************** Computing .... elapsed time = 28 minutes **************************************************** starting right neighbors generation We generated 731 left neighbors We generated 9279 right neighbors We generated 10009 non-negative rho_i D1(229,859) = 0.7963913515075624180 D2(229,859) = 0.03998836982333399502 C1(229,859) = 1.148472221685111499 C2(229,859) = 1.735477627921069010 C3(229,859) = 6.986166984628034842 C4(229,859) = 6872 Sum = 3172.358785908890278 Averaged sum = 0.3169506230301618821 logp*logq = 36.70897024231375383 -------------- ************************************* p = 229; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8983932150793091.006 -------------- Searches starting with [229,863]-exponents: u = 51, v = 4 n_start has 133 digits starting right neighbors generation We generated 950 left neighbors We generated 9060 right neighbors We generated 10009 non-negative rho_i D1(229,863) = 0.6862810645215969999 D2(229,863) = 0.0004649680341292624298 C1(229,863) = 0.9348716861991099254 C2(229,863) = 1.696821001755011144 C3(229,863) = 4.866556394401302097 C4(229,863) = 6904 Sum = 4276.074241972685471 Averaged sum = 0.4272229235660590939 logp*logq = 36.73421406009136020 -------------- ************************************* p = 229; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9804865644308597.492 -------------- Searches starting with [229,877]-exponents: u = 106, v = 4 n_start has 262 digits starting right neighbors generation We generated 3599 left neighbors We generated 6411 right neighbors We generated 10009 non-negative rho_i D1(229,877) = 0.5571631006369443927 D2(229,877) = 0.01352604191874474309 C1(229,877) = 0.7593889285238722570 C2(229,877) = 1.528021484578835820 C3(229,877) = 3.615970167241424944 C4(229,877) = 7016 Sum = 4217.600018493636467 Averaged sum = 0.4213807591661141440 logp*logq = 36.82165515169189301 -------------- ************************************* p = 229; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10050331655501662.78 -------------- Searches starting with [229,881]-exponents: u = 151, v = 4 n_start has 369 digits --- performed 5000 steps in the continued fraction search [229,881]-exponents: u = 53, v = 43 --- starting right neighbors generation We generated 7330 left neighbors We generated 2680 right neighbors We generated 10009 non-negative rho_i D1(229,881) = 0.6155524720430663453 D2(229,881) = 0.003781203005182441771 C1(229,881) = 0.8232146191377096119 C2(229,881) = 1.451483549365277993 C3(229,881) = 4.028496020658789810 C4(229,881) = 7048 Sum = 4639.354204513618539 Averaged sum = 0.4635182540227413866 logp*logq = 36.84638202941869307 -------------- ************************************* p = 229; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10174931558564501.57 -------------- Searches starting with [229,883]-exponents: u = 191, v = 4 n_start has 463 digits --- performed 5000 steps in the continued fraction search [229,883]-exponents: u = 120, v = 32 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,883) = 0.6973362326378817823 D2(229,883) = 0.03975266155459543858 C1(229,883) = 0.9220633540178404955 C2(229,883) = 1.409661404345105138 C3(229,883) = 4.762186379253931084 C4(229,883) = 7064 Sum = 4835.112433502876180 Averaged sum = 0.4835595993102186399 logp*logq = 36.85870339978571419 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,883) = 0.6973362326378817823 D2(229,883) = 0.03975266155459543858 C1(229,883) = 0.9220633540178404955 C2(229,883) = 1.409661404345105138 C3(229,883) = 4.762186379253931084 C4(229,883) = 7064 Sum = 4835.112433502876180 Averaged sum = 0.4835595993102186399 logp*logq = 36.85870339978571419 -------------- ************************************* p = 229; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10427913928778404.84 -------------- Searches starting with [229,887]-exponents: u = 391, v = 4 n_start has 935 digits --- performed 5000 steps in the continued fraction search [229,887]-exponents: u = 316, v = 51 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,887) = 0.5981497449669174434 D2(229,887) = 0.2593305671169209147 C1(229,887) = 0.7677748796698708813 C2(229,887) = 1.427756926115006623 C3(229,887) = 3.667662203787722913 C4(229,887) = 7096 Sum = 5290.095905630132421 Averaged sum = 0.5290624968126945115 logp*logq = 36.88326263709080066 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(229,887) = 0.5981497449669174434 D2(229,887) = 0.2593305671169209147 C1(229,887) = 0.7677748796698708813 C2(229,887) = 1.427756926115006623 C3(229,887) = 3.667662203787722913 C4(229,887) = 7096 Sum = 5290.095905630132421 Averaged sum = 0.5290624968126945115 logp*logq = 36.88326263709080066 -------------- ************************************* p = 229; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11771065967086146.23 -------------- Searches starting with [229,907]-exponents: u = 5, v = 75 n_start has 234 digits starting right neighbors generation We generated 2886 left neighbors We generated 7124 right neighbors We generated 10009 non-negative rho_i D1(229,907) = 0.7513964486926729839 D2(229,907) = 0.01291923887579952379 C1(229,907) = 1.031333591466004288 C2(229,907) = 1.564513354756926435 C3(229,907) = 5.729683828326449089 C4(229,907) = 7256 Sum = 4098.500985696689176 Averaged sum = 0.4094815651610239960 logp*logq = 37.00442087852939860 -------------- ************************************* p = 229; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12055913543970934.44 -------------- Searches starting with [229,911]-exponents: u = 5, v = 59 n_start has 187 digits starting right neighbors generation We generated 1828 left neighbors We generated 8182 right neighbors We generated 10009 non-negative rho_i D1(229,911) = 0.6259012467661803204 D2(229,911) = 0.01056766925595323899 C1(229,911) = 0.8365023332206129787 C2(229,911) = 1.617405562959356842 C3(229,911) = 4.120127950653205220 C4(229,911) = 7288 Sum = 4020.016194744319779 Averaged sum = 0.4016401433454210989 logp*logq = 37.02833168500569380 -------------- ************************************* p = 229; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12642492297024397.33 -------------- Searches starting with [229,919]-exponents: u = 5, v = 43 n_start has 140 digits starting right neighbors generation We generated 1010 left neighbors We generated 9000 right neighbors We generated 10009 non-negative rho_i D1(229,919) = 0.6896092196251742272 D2(229,919) = 0.01970114880745737737 C1(229,919) = 0.9822323477792404489 C2(229,919) = 1.701361762336508252 C3(229,919) = 5.272741258264375520 C4(229,919) = 7352 Sum = 3313.231874151282039 Averaged sum = 0.3310252646769189768 logp*logq = 37.07583993959038262 -------------- ************************************* p = 229; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13408255962834561.23 -------------- Searches starting with [229,929]-exponents: u = 5, v = 31 n_start has 104 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(229,929) = 0.7994250754076908562 D2(229,929) = 0.05513705297786667608 C1(229,929) = 1.081090931854040635 C2(229,929) = 1.786599232799039371 C3(229,929) = 6.233143853415658864 C4(229,929) = 7432 Sum = 4356.865847009090141 Averaged sum = 0.4352948193634818804 logp*logq = 37.13464702877506850 -------------- ************************************* p = 229; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14047751103227862.50 -------------- Searches starting with [229,937]-exponents: u = 5, v = 23 n_start has 81 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(229,937) = 0.9829050431547889971 D2(229,937) = 0.03915373337751507228 C1(229,937) = 1.454691464064919381 C2(229,937) = 1.832161523716370480 C3(229,937) = 11.73113238178872998 C4(229,937) = 7496 Sum = 4754.013425175297907 Averaged sum = 0.4749738660380955048 logp*logq = 37.18123871405166011 -------------- ************************************* p = 229; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14376705163801400.56 -------------- Searches starting with [229,941]-exponents: u = 5, v = 23 n_start has 81 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(229,941) = 0.6469291574238898450 D2(229,941) = 0.06878265655751922399 C1(229,941) = 0.9112237356912129242 C2(229,941) = 1.862455824461533373 C3(229,941) = 4.675609292637191573 C4(229,941) = 7528 Sum = 3982.838468740855294 Averaged sum = 0.3979257137317269751 logp*logq = 37.20438559464982498 -------------- ************************************* p = 229; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14881899631632463.32 -------------- Searches starting with [229,947]-exponents: u = 5, v = 19 n_start has 69 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(229,947) = 0.8018877415322530528 D2(229,947) = 0.003085673719484584132 C1(229,947) = 1.076552795047920763 C2(229,947) = 1.876571716256143900 C3(229,947) = 6.185448244256237066 C4(229,947) = 7576 Sum = 4195.180205732029426 Averaged sum = 0.4191407938587300855 logp*logq = 37.23892207958351081 -------------- ************************************* p = 229; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15401486688644662.42 -------------- Searches starting with [229,953]-exponents: u = 5, v = 19 n_start has 69 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(229,953) = 0.5302775277381889508 D2(229,953) = 0.03355176161926555232 C1(229,953) = 0.7369075604079071119 C2(229,953) = 1.908067149375794124 C3(229,953) = 3.480958480064289753 C4(229,953) = 7624 Sum = 4208.790642340168200 Averaged sum = 0.4205006136817032871 logp*logq = 37.27324043789443368 -------------- ************************************* p = 229; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16671609230611502.24 -------------- Searches starting with [229,967]-exponents: u = 5, v = 15 n_start has 57 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(229,967) = 0.6345678811636278911 D2(229,967) = 0.1150453390012562227 C1(229,967) = 0.8653573523228855138 C2(229,967) = 1.991937156127292660 C3(229,967) = 4.326353013029372034 C4(229,967) = 7736 Sum = 4285.241320510267278 Averaged sum = 0.4281388071246145747 logp*logq = 37.35248362154401420 -------------- ************************************* p = 229; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17049783121012606.22 -------------- Searches starting with [229,971]-exponents: u = 5, v = 15 n_start has 57 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(229,971) = 0.6594815215167701592 D2(229,971) = 0.1375916649919686644 C1(229,971) = 0.9018731025572991331 C2(229,971) = 1.525872113275622951 C3(229,971) = 4.602190449756432328 C4(229,971) = 7768 Sum = 3992.127374607334882 Averaged sum = 0.3988537690685717736 logp*logq = 37.37491387838409523 -------------- ************************************* p = 229; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17630144796840028.45 -------------- Searches starting with [229,977]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(229,977) = 0.8094223140260473274 D2(229,977) = 0.1234026172056778813 C1(229,977) = 1.055633634797962685 C2(229,977) = 1.360078726549201196 C3(229,977) = 5.970264289217637317 C4(229,977) = 7816 Sum = 3916.084101423939866 Averaged sum = 0.3912562794908522196 logp*logq = 37.40838660438032894 -------------- ************************************* p = 229; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18226525883286100.77 -------------- Searches starting with [229,983]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(229,983) = 0.8618714284030326989 D2(229,983) = 0.01074170267988014191 C1(229,983) = 1.144327385822490961 C2(229,983) = 2.001031676751128565 C3(229,983) = 6.937326007370957355 C4(229,983) = 7864 Sum = 3832.012980528938771 Averaged sum = 0.3828567269985951414 logp*logq = 37.44165439403517827 -------------- ************************************* p = 229; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19047208711716140.25 -------------- Searches starting with [229,991]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(229,991) = 0.5726884013684424990 D2(229,991) = 0.03735336377417827638 C1(229,991) = 0.7777392069011800589 C2(229,991) = 2.029046777756930623 C3(229,991) = 3.730045083511012603 C4(229,991) = 7928 Sum = 4029.422382793176312 Averaged sum = 0.4025799163545984925 logp*logq = 37.48569696142829572 -------------- ************************************* p = 229; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19682300751371504.60 -------------- Searches starting with [229,997]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(229,997) = 0.6075290256035101590 D2(229,997) = 0.05834790239463787751 C1(229,997) = 0.8576802946341240251 C2(229,997) = 2.051086348947696703 C3(229,997) = 4.270498444050484141 C4(229,997) = 7976 Sum = 4124.345934355580456 Averaged sum = 0.4120637360730922626 logp*logq = 37.51849618779971905 -------------- ************************************* p = 233; q = 239; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9220159116745.694851 -------------- Searches starting with [233,239]-exponents: u = 1, v = 214 n_start has 512 digits --- performed 5000 steps in the continued fraction search [233,239]-exponents: u = 140, v = 51 --- starting right neighbors generation We generated 5669 left neighbors We generated 4341 right neighbors We generated 10009 non-negative rho_i D1(233,239) = 0.6500327501416828439 D2(233,239) = 0.006422260297734226160 C1(233,239) = 0.8552842084159499327 C2(233,239) = 1.095655698851403148 C3(233,239) = 4.264803919797050264 C4(233,239) = 1912 Sum = 5186.551694555745164 Averaged sum = 0.5181887995359921234 logp*logq = 29.85241341112966560 -------------- ************************************* p = 233; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9648648739276.802053 -------------- Searches starting with [233,241]-exponents: u = 1, v = 161 n_start has 386 digits starting right neighbors generation We generated 3354 left neighbors We generated 6656 right neighbors We generated 10009 non-negative rho_i D1(233,241) = 0.6091364711569636043 D2(233,241) = 0.0006184307436809343157 C1(233,241) = 0.8121755796857562091 C2(233,241) = 1.137971344738752447 C3(233,241) = 3.964153458131364969 C4(233,241) = 1928 Sum = 4929.714913795973749 Averaged sum = 0.4925282159852106853 logp*logq = 29.89783899445679662 -------------- ************************************* p = 233; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12042418943700.81505 -------------- Searches starting with [233,251]-exponents: u = 1, v = 73 n_start has 178 digits starting right neighbors generation We generated 769 left neighbors We generated 9241 right neighbors We generated 10009 non-negative rho_i D1(233,251) = 0.6609366429401171193 D2(233,251) = 0.001583640766634852687 C1(233,251) = 0.9213491861858457199 C2(233,251) = 1.297523090244895234 C3(233,251) = 4.770397334525414098 C4(233,251) = 2008 Sum = 3957.200075880328268 Averaged sum = 0.3953641798261892565 logp*logq = 30.11945644457497425 -------------- ************************************* p = 233; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13697399599975.90853 -------------- Searches starting with [233,257]-exponents: u = 1, v = 55 n_start has 135 digits starting right neighbors generation We generated 427 left neighbors We generated 9583 right neighbors We generated 10009 non-negative rho_i D1(233,257) = 0.6082795224614007644 D2(233,257) = 0.01679063764641312734 C1(233,257) = 0.8264827318285268276 C2(233,257) = 1.377701047599862574 C3(233,257) = 4.061508616484316294 C4(233,257) = 2056 Sum = 4664.735562226911490 Averaged sum = 0.4660541075259178229 logp*logq = 30.24822712052565107 -------------- ************************************* p = 233; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15533590104564.18937 -------------- Searches starting with [233,263]-exponents: u = 1, v = 45 n_start has 112 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(233,263) = 1.282440475564670077 D2(233,263) = 0.03360794075922056294 C1(233,263) = 1.850467641024680665 C2(233,263) = 1.448824348160896826 C3(233,263) = 23.05849789131019042 C4(233,263) = 2104 Sum = 3291.919088382366031 Averaged sum = 0.3288959025259632362 logp*logq = 30.37402589859216459 -------------- ************************************* p = 233; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17566009404623.95055 -------------- Searches starting with [233,269]-exponents: u = 1, v = 37 n_start has 93 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(233,269) = 0.8880853183145867931 D2(233,269) = 0.05191906594529446172 C1(233,269) = 1.299166303000422178 C2(233,269) = 1.514168757816988452 C3(233,269) = 9.053343922978433494 C4(233,269) = 2152 Sum = 5052.738934184568606 Averaged sum = 0.5048195558182204621 logp*logq = 30.49698686681123619 -------------- ************************************* p = 233; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18289808609467.74930 -------------- Searches starting with [233,271]-exponents: u = 1, v = 36 n_start has 90 digits starting right neighbors generation We generated 212 left neighbors We generated 9798 right neighbors We generated 10009 non-negative rho_i D1(233,271) = 0.8300393883857980771 D2(233,271) = 0.03078367835064154575 C1(233,271) = 1.219859759241624252 C2(233,271) = 1.511172354379361622 C3(233,271) = 7.914097481323513893 C4(233,271) = 2168 Sum = 2843.768787106507256 Averaged sum = 0.2841211696579585628 logp*logq = 30.53736511405939068 -------------- ************************************* p = 233; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20608725906985.13326 -------------- Searches starting with [233,277]-exponents: u = 1, v = 31 n_start has 79 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(233,277) = 0.9241157121587760258 D2(233,277) = 0.03539027783675480762 C1(233,277) = 1.299530269761559417 C2(233,277) = 1.558038469583498567 C3(233,277) = 9.058933526169772007 C4(233,277) = 2216 Sum = 4954.483315634354140 Averaged sum = 0.4950028290173198261 logp*logq = 30.65673568975385747 -------------- ************************************* p = 233; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22283956976163.42979 -------------- Searches starting with [233,281]-exponents: u = 1, v = 29 n_start has 74 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(233,281) = 0.7771072229103387746 D2(233,281) = 0.04789683779164575294 C1(233,281) = 1.164578973388884732 C2(233,281) = 1.595266063355552595 C3(233,281) = 7.205900215493749448 C4(233,281) = 2248 Sum = 3195.433153008368444 Averaged sum = 0.3192559849144138719 logp*logq = 30.73488811737996848 -------------- ************************************* p = 233; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23162324407523.83875 -------------- Searches starting with [233,283]-exponents: u = 1, v = 28 n_start has 72 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(233,283) = 0.9629638678816278954 D2(233,283) = 0.04370241861246603514 C1(233,283) = 1.447929679425288565 C2(233,283) = 1.604372586860890254 C3(233,283) = 11.65118660981504182 C4(233,283) = 2264 Sum = 2455.316433133986957 Averaged sum = 0.2453108635362161012 logp*logq = 30.77354812661647587 -------------- ************************************* p = 233; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27989185368131.62202 -------------- Searches starting with [233,293]-exponents: u = 1, v = 23 n_start has 60 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(233,293) = 0.6807950033113925199 D2(233,293) = 0.02319909854281670949 C1(233,293) = 0.9203030747492731812 C2(233,293) = 1.646038701960816794 C3(233,293) = 4.761942141192931473 C4(233,293) = 2344 Sum = 4459.412097723437117 Averaged sum = 0.4455402235711296950 logp*logq = 30.96283931464264527 -------------- ************************************* p = 233; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36098314477880.39955 -------------- Searches starting with [233,307]-exponents: u = 1, v = 19 n_start has 50 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(233,307) = 0.6832080096406904110 D2(233,307) = 0.1008514996918107599 C1(233,307) = 0.9454028375378594267 C2(233,307) = 1.784861201108117426 C3(233,307) = 4.969006543801867953 C4(233,307) = 2456 Sum = 4292.511469702682856 Averaged sum = 0.4288651683187813824 logp*logq = 31.21726728981393066 -------------- ************************************* p = 233; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38737602296205.49265 -------------- Searches starting with [233,311]-exponents: u = 1, v = 18 n_start has 48 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(233,311) = 0.7466266242269451113 D2(233,311) = 0.07177403617874248068 C1(233,311) = 0.9964115476501635351 C2(233,311) = 1.778793245257366466 C3(233,311) = 5.417967867558330509 C4(233,311) = 2488 Sum = 4311.099097650844997 Averaged sum = 0.4307222597313263060 logp*logq = 31.28783187979286139 -------------- ************************************* p = 233; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40115124697756.51158 -------------- Searches starting with [233,313]-exponents: u = 1, v = 18 n_start has 48 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(233,313) = 0.7375545613195542099 D2(233,313) = 0.1335822491097454695 C1(233,313) = 1.078957182299907974 C2(233,313) = 1.841584688911289178 C3(233,313) = 6.232030523418240601 C4(233,313) = 2504 Sum = 3880.864685275703051 Averaged sum = 0.3877375047732743582 logp*logq = 31.32277455363629142 -------------- ************************************* p = 233; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42990273988010.19411 -------------- Searches starting with [233,317]-exponents: u = 1, v = 17 n_start has 45 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(233,317) = 0.6118751229967656363 D2(233,317) = 0.08176429071810143556 C1(233,317) = 0.8247119616086942522 C2(233,317) = 1.814632279486728904 C3(233,317) = 4.049330674931584039 C4(233,317) = 2536 Sum = 4201.927294843122063 Averaged sum = 0.4198148960778421483 logp*logq = 31.39199501971278152 -------------- ************************************* p = 233; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54410070727286.00172 -------------- Searches starting with [233,331]-exponents: u = 1, v = 15 n_start has 41 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(233,331) = 0.7656306976070719031 D2(233,331) = 0.07820126485324249137 C1(233,331) = 1.136972559926122712 C2(233,331) = 1.870572723693468194 C3(233,331) = 6.876329726161901349 C4(233,331) = 2648 Sum = 3761.792047308443672 Averaged sum = 0.3758409478777543882 logp*logq = 31.62757037632051989 -------------- ************************************* p = 233; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60007811196897.71076 -------------- Searches starting with [233,337]-exponents: u = 1, v = 14 n_start has 38 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(233,337) = 0.5949375283158920773 D2(233,337) = 0.01872614123382180378 C1(233,337) = 0.8384537123569844925 C2(233,337) = 1.844672202893611311 C3(233,337) = 4.144801702198851015 C4(233,337) = 2696 Sum = 4124.146243512576207 Averaged sum = 0.4120437849448072941 logp*logq = 31.72549585629206880 -------------- ************************************* p = 233; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70377470240805.28189 -------------- Searches starting with [233,347]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(233,347) = 0.6832855935274270595 D2(233,347) = 0.01024730937833400819 C1(233,347) = 0.9894937535604210485 C2(233,347) = 1.875298352556594839 C3(233,347) = 5.354779760993289784 C4(233,347) = 2776 Sum = 3701.545943385246778 Averaged sum = 0.3698217547592413606 logp*logq = 31.88489430288505909 -------------- ************************************* p = 233; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72617147136023.27207 -------------- Searches starting with [233,349]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(233,349) = 0.9842764099380437265 D2(233,349) = 0.04469094972716718306 C1(233,349) = 1.479968519062387790 C2(233,349) = 1.910662823979716677 C3(233,349) = 12.30172738691172069 C4(233,349) = 2792 Sum = 3950.209317787398749 Averaged sum = 0.3946657326193824307 logp*logq = 31.91622219631827241 -------------- ************************************* p = 233; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77271241513571.21199 -------------- Searches starting with [233,353]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(233,353) = 0.6902622233443023096 D2(233,353) = 0.1017173650299154037 C1(233,353) = 0.9378727338933719729 C2(233,353) = 1.319773266749789098 C3(233,353) = 4.905957748581194217 C4(233,353) = 2824 Sum = 4170.852356955921438 Averaged sum = 0.4167101965187252911 logp*logq = 31.97834296495825823 -------------- ************************************* p = 233; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84706764139941.16787 -------------- Searches starting with [233,359]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(233,359) = 0.6488598027337446968 D2(233,359) = 0.1252161638861203369 C1(233,359) = 0.9096379546356767815 C2(233,359) = 1.747104956706258341 C3(233,359) = 4.676591917042295348 C4(233,359) = 2872 Sum = 4394.288619055947228 Averaged sum = 0.4390337315472022407 logp*logq = 32.07021657437361148 -------------- ************************************* p = 233; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95519785117726.82085 -------------- Searches starting with [233,367]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(233,367) = 1.661436932350081592 D2(233,367) = 0.07121329095796821712 C1(233,367) = 2.759889395118457789 C2(233,367) = 1.094825838230957286 C3(233,367) = 107.7956560371404435 C4(233,367) = 2936 Sum = 5358.496763529405971 Averaged sum = 0.5353678452921776373 logp*logq = 32.19035451596527233 -------------- ************************************* p = 233; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104347904864149.4409 -------------- Searches starting with [233,373]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(233,373) = 0.7301775517384363403 D2(233,373) = 0.1055669714803358836 C1(233,373) = 0.9769729928791454253 C2(233,373) = 1.763694233455316935 C3(233,373) = 5.242281438341792995 C4(233,373) = 2984 Sum = 4098.294844929385411 Averaged sum = 0.4094609696202802889 logp*logq = 32.27875167128324934 -------------- ************************************* p = 233; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113831246454111.3833 -------------- Searches starting with [233,379]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(233,379) = 0.7707858107013797522 D2(233,379) = 0.05559190475062634781 C1(233,379) = 1.088750839782398070 C2(233,379) = 2.018670889212820262 C3(233,379) = 6.336397256305667864 C4(233,379) = 3032 Sum = 4703.795587171756841 Averaged sum = 0.4699565977791744271 logp*logq = 32.36573817334286764 -------------- ************************************* p = 233; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120535743228509.0920 -------------- Searches starting with [233,383]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(233,383) = 0.9883460275637976169 D2(233,383) = 0.06304688080973335850 C1(233,383) = 1.662835451414439461 C2(233,383) = 1.113988672839777888 C3(233,383) = 16.77427655896303408 C4(233,383) = 3064 Sum = 3828.195257606466970 Averaged sum = 0.3824752979924534889 logp*logq = 32.42296744917794701 -------------- ************************************* p = 233; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131194270688760.6514 -------------- Searches starting with [233,389]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(233,389) = 0.7844542309463241431 D2(233,389) = 0.08476319006477200569 C1(233,389) = 1.058624469612701206 C2(233,389) = 1.784119964658529979 C3(233,389) = 6.020810396049543510 C4(233,389) = 3112 Sum = 4358.758804285660808 Averaged sum = 0.4354839448781757226 logp*logq = 32.50770032295425111 -------------- ************************************* p = 233; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 146590891194020.0002 -------------- Searches starting with [233,397]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(233,397) = 0.6623819083292316987 D2(233,397) = 0.01954062645657105004 C1(233,397) = 0.8877751601329245870 C2(233,397) = 2.042311469305657635 C3(233,397) = 4.506381759046191432 C4(233,397) = 3176 Sum = 4254.078028235280746 Averaged sum = 0.4250252800714637572 logp*logq = 32.61866676971279234 -------------- ************************************* p = 233; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 154824638744924.6337 -------------- Searches starting with [233,401]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(233,401) = 0.9318853556178267329 D2(233,401) = 0.04475226999277881610 C1(233,401) = 1.591020347020649929 C2(233,401) = 1.149403161364816606 C3(233,401) = 14.85092364084267215 C4(233,401) = 3208 Sum = 4079.517643482430668 Averaged sum = 0.4075849379041293503 logp*logq = 32.67331422943766022 -------------- ************************************* p = 233; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172426567201098.1491 -------------- Searches starting with [233,409]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(233,409) = 0.9302960373410848640 D2(233,409) = 0.06058138765958343268 C1(233,409) = 1.237123249207630752 C2(233,409) = 1.808173159566302856 C3(233,409) = 8.149211650864546393 C4(233,409) = 3272 Sum = 4119.587842019938213 Averaged sum = 0.4115883546827793199 logp*logq = 32.78099256438016969 -------------- ************************************* p = 233; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 196693257404424.5072 -------------- Searches starting with [233,419]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(233,419) = 0.7240046154812140013 D2(233,419) = 0.04206498222084326683 C1(233,419) = 1.011092982525303926 C2(233,419) = 1.557675558877790575 C3(233,419) = 5.554551491659434976 C4(233,419) = 3352 Sum = 4319.855667904112635 Averaged sum = 0.4315971293739746862 logp*logq = 32.91266656216168353 -------------- ************************************* p = 233; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 201865739656215.7330 -------------- Searches starting with [233,421]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(233,421) = 1.018084725640782935 D2(233,421) = 0.03842417926031145599 C1(233,421) = 1.365964711764414186 C2(233,421) = 1.492707241832813436 C3(233,421) = 10.13922266469657104 C4(233,421) = 3368 Sum = 4274.387823667506378 Averaged sum = 0.4270544333767115974 logp*logq = 32.93862393718133551 -------------- ************************************* p = 233; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 229422973729159.0229 -------------- Searches starting with [233,431]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(233,431) = 0.6345631045083720780 D2(233,431) = 0.03603864090760006052 C1(233,431) = 0.8887162563735902026 C2(233,431) = 1.839515768506545073 C3(233,431) = 4.513579311114624544 C4(233,431) = 3448 Sum = 3799.569464734034225 Averaged sum = 0.3796152927099644545 logp*logq = 33.06658846264151873 -------------- ************************************* p = 233; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 235286443626153.9445 -------------- Searches starting with [233,433]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(233,433) = 0.7969474153010467009 D2(233,433) = 0.03381078159302153118 C1(233,433) = 1.144206078496301778 C2(233,433) = 1.838171506181950242 C3(233,433) = 6.961198687379487414 C4(233,433) = 3464 Sum = 4604.684099708691193 Averaged sum = 0.4600543610459277843 logp*logq = 33.09182479685364680 -------------- ************************************* p = 233; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 253615453048928.1967 -------------- Searches starting with [233,439]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(233,439) = 0.7372170733541559098 D2(233,439) = 0.02726043869657676075 C1(233,439) = 1.060165284363781572 C2(233,439) = 1.834247149962288838 C3(233,439) = 6.036562881691917952 C4(233,439) = 3512 Sum = 4229.633023359756219 Averaged sum = 0.4225829776560851452 logp*logq = 33.16684027137069477 -------------- ************************************* p = 233; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 266470094106583.4670 -------------- Searches starting with [233,443]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(233,443) = 0.8307447771478466045 D2(233,443) = 0.02100822682830827691 C1(233,443) = 1.309199959125416608 C2(233,443) = 1.673071643582320171 C3(233,443) = 9.208705800779455629 C4(233,443) = 3544 Sum = 3699.942743624417361 Averaged sum = 0.3696615789413944811 logp*logq = 33.21628313600153777 -------------- ************************************* p = 233; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 286745620199854.5413 -------------- Searches starting with [233,449]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(233,449) = 0.6247098397023244815 D2(233,449) = 0.01443972406283943853 C1(233,449) = 0.8456103401146847708 C2(233,449) = 1.574764642502676508 C3(233,449) = 4.195410544975182943 C4(233,449) = 3592 Sum = 4137.165378637190970 Averaged sum = 0.4133445277887092587 logp*logq = 33.28961659788887681 -------------- ************************************* p = 233; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 315722468596145.5331 -------------- Searches starting with [233,457]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(233,457) = 0.7863829532867508482 D2(233,457) = 0.006273278987943697736 C1(233,457) = 1.075961125640367711 C2(233,457) = 1.312788300133591535 C3(233,457) = 6.200447551383083603 C4(233,457) = 3656 Sum = 4732.798071775246183 Averaged sum = 0.4728542383629979201 logp*logq = 33.38588467967947673 -------------- ************************************* p = 233; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 331082459752635.8250 -------------- Searches starting with [233,461]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(233,461) = 1.244484525866233135 D2(233,461) = 0.004582940293170211016 C1(233,461) = 2.204971001617290441 C2(233,461) = 1.005479891620873609 C3(233,461) = 42.06446600684567506 C4(233,461) = 3688 Sum = 3202.188928624228292 Averaged sum = 0.3199309550029202010 logp*logq = 33.43338858339934517 -------------- ************************************* p = 233; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 338988123683933.5892 -------------- Searches starting with [233,463]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(233,463) = 0.8059630102514503033 D2(233,463) = 0.002953688023848870572 C1(233,463) = 1.428000934558543564 C2(233,463) = 1.875835976230900910 C3(233,463) = 11.26401061713141766 C4(233,463) = 3704 Sum = 4288.009126934817665 Averaged sum = 0.4284153388884821326 logp*logq = 33.45698618931458838 -------------- ************************************* p = 233; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 355262167138366.8113 -------------- Searches starting with [233,467]-exponents: u = 9, v = 7 n_start has 40 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(233,467) = 0.9686558087258626561 D2(233,467) = 0.04002762475080381851 C1(233,467) = 1.272954243491709655 C2(233,467) = 1.461219532110919532 C3(233,467) = 8.659730590583553052 C4(233,467) = 3736 Sum = 3517.012252980949520 Averaged sum = 0.3513849788171595084 logp*logq = 33.50387713182908632 -------------- ************************************* p = 233; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 407954710453668.7619 -------------- Searches starting with [233,479]-exponents: u = 9, v = 7 n_start has 41 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(233,479) = 0.6191857014511754632 D2(233,479) = 0.1418216125899521020 C1(233,479) = 0.8326059646115754406 C2(233,479) = 1.836927060062039316 C3(233,479) = 4.103902296599380418 C4(233,479) = 3832 Sum = 4102.242547831337138 Averaged sum = 0.4098553849366906921 logp*logq = 33.64217728038130570 -------------- ************************************* p = 233; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 446502312652348.2337 -------------- Searches starting with [233,487]-exponents: u = 17, v = 7 n_start has 60 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(233,487) = 0.6990883940918637849 D2(233,487) = 0.1190179660688417980 C1(233,487) = 1.016269554255286412 C2(233,487) = 1.833217911717540382 C3(233,487) = 5.603526559709384398 C4(233,487) = 3896 Sum = 3969.394969063187666 Averaged sum = 0.3965825725909868784 logp*logq = 33.73246569574422636 -------------- ************************************* p = 233; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 466862181732386.9138 -------------- Searches starting with [233,491]-exponents: u = 25, v = 7 n_start has 79 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(233,491) = 0.8323892278369160121 D2(233,491) = 0.08334577972261380753 C1(233,491) = 1.121033734184136556 C2(233,491) = 1.799101357398169248 C3(233,491) = 6.692957680354056719 C4(233,491) = 3928 Sum = 4270.397371881556407 Averaged sum = 0.4266557470158413834 logp*logq = 33.77705521597930970 -------------- ************************************* p = 233; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 509858689987751.4322 -------------- Searches starting with [233,499]-exponents: u = 49, v = 7 n_start has 135 digits starting right neighbors generation We generated 1366 left neighbors We generated 8644 right neighbors We generated 10009 non-negative rho_i D1(233,499) = 0.8401900299990565585 D2(233,499) = 0.02199351831977666300 C1(233,499) = 1.122696337176470842 C2(233,499) = 1.740822112347416948 C3(233,499) = 6.711854782837827755 C4(233,499) = 3992 Sum = 4198.884433805287336 Averaged sum = 0.4195108835853019618 logp*logq = 33.86515472479820296 -------------- ************************************* p = 233; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 532538451921585.8585 -------------- Searches starting with [233,503]-exponents: u = 89, v = 7 n_start has 230 digits starting right neighbors generation We generated 3961 left neighbors We generated 6049 right neighbors We generated 10009 non-negative rho_i D1(233,503) = 1.192477828885704854 D2(233,503) = 0.02082869719765454041 C1(233,503) = 1.634519238135088982 C2(233,503) = 1.640395334257545437 C3(233,503) = 15.98782903817897382 C4(233,503) = 4024 Sum = 5199.231081855980895 Averaged sum = 0.5194555981472655504 logp*logq = 33.90867622108648064 -------------- ************************************* p = 233; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 568097285951084.8541 -------------- Searches starting with [233,509]-exponents: u = 8, v = 286 n_start has 794 digits --- performed 5000 steps in the continued fraction search [233,509]-exponents: u = 21, v = 259 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,509) = 0.6222356233230578748 D2(233,509) = 0.2992457396058290741 C1(233,509) = 0.8044807372877224815 C2(233,509) = 1.422111652729379749 C3(233,509) = 3.912761410191954577 C4(233,509) = 4072 Sum = 5288.685900896743741 Averaged sum = 0.5289214822378981639 logp*logq = 33.97331379806617926 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,509) = 0.6222356233230578748 D2(233,509) = 0.2992457396058290741 C1(233,509) = 0.8044807372877224815 C2(233,509) = 1.422111652729379749 C3(233,509) = 3.912761410191954577 C4(233,509) = 4072 Sum = 5288.685900896743741 Averaged sum = 0.5289214822378981639 logp*logq = 33.97331379806617926 -------------- ************************************* p = 233; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 645040378759552.4182 -------------- Searches starting with [233,521]-exponents: u = 8, v = 27 n_start has 93 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(233,521) = 0.5987782848138190774 D2(233,521) = 0.02756085819319152601 C1(233,521) = 0.8377833512013116767 C2(233,521) = 1.600081458321322306 C3(233,521) = 4.140092558208871602 C4(233,521) = 4168 Sum = 4082.058720862251691 Averaged sum = 0.4078388171507894585 logp*logq = 34.10033403349283995 -------------- ************************************* p = 233; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 658653861176086.6706 -------------- Searches starting with [233,523]-exponents: u = 8, v = 20 n_start has 74 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(233,523) = 0.7051055431583545593 D2(233,523) = 0.03884042381637804110 C1(233,523) = 1.053307861023679313 C2(233,523) = 1.688340615160173587 C3(233,523) = 5.966771119551444782 C4(233,523) = 4184 Sum = 3883.986261884910540 Averaged sum = 0.3880493817449206254 logp*logq = 34.12121926384498119 -------------- ************************************* p = 233; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 792069687709160.9094 -------------- Searches starting with [233,541]-exponents: u = 15, v = 6 n_start has 52 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(233,541) = 0.7879875159213679515 D2(233,541) = 0.1084202148455561771 C1(233,541) = 1.063839033276324914 C2(233,541) = 1.370089322087374775 C3(233,541) = 6.074287853437353657 C4(233,541) = 4328 Sum = 4226.507202760207748 Averaged sum = 0.4222706766670204564 logp*logq = 34.30567049340389110 -------------- ************************************* p = 233; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 841151456405996.9257 -------------- Searches starting with [233,547]-exponents: u = 15, v = 6 n_start has 52 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(233,547) = 0.5677166391741771198 D2(233,547) = 0.08026936911191116375 C1(233,547) = 0.7645813891072621492 C2(233,547) = 1.871462090672017374 C3(233,547) = 3.656775720317382363 C4(233,547) = 4376 Sum = 4254.984979605810187 Averaged sum = 0.4251158936562903573 logp*logq = 34.36579285053844934 -------------- ************************************* p = 233; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 928457987532716.2109 -------------- Searches starting with [233,557]-exponents: u = 22, v = 6 n_start has 69 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(233,557) = 0.8153572852891969904 D2(233,557) = 0.01900577211299099416 C1(233,557) = 1.225992251003185448 C2(233,557) = 1.813747062810692326 C3(233,557) = 7.996829715722810710 C4(233,557) = 4456 Sum = 3937.936609673268625 Averaged sum = 0.3934395653585042087 logp*logq = 34.46454624802147486 -------------- ************************************* p = 233; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 984298962164488.9855 -------------- Searches starting with [233,563]-exponents: u = 36, v = 6 n_start has 102 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(233,563) = 0.5702952731835913670 D2(233,563) = 0.05424788665383296550 C1(233,563) = 0.7916299255775685443 C2(233,563) = 1.742006353151506734 C3(233,563) = 3.828415011553578114 C4(233,563) = 4504 Sum = 4287.018394804020221 Averaged sum = 0.4283163547611170168 logp*logq = 34.52295079017373299 -------------- ************************************* p = 233; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1042852551413346.585 -------------- Searches starting with [233,569]-exponents: u = 64, v = 6 n_start has 169 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(233,569) = 1.470470567810021187 D2(233,569) = 0.03295276633418888541 C1(233,569) = 1.978828032209532878 C2(233,569) = 1.647597178672098267 C3(233,569) = 28.66591287296720950 C4(233,569) = 4552 Sum = 4728.841812699779199 Averaged sum = 0.4724589681985991807 logp*logq = 34.58073619124570006 -------------- ************************************* p = 233; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1062990610894563.912 -------------- Searches starting with [233,571]-exponents: u = 85, v = 6 n_start has 218 digits starting right neighbors generation We generated 3383 left neighbors We generated 6627 right neighbors We generated 10009 non-negative rho_i D1(233,571) = 0.6265125084629050481 D2(233,571) = 0.006027214573999744688 C1(233,571) = 0.8656588408165955533 C2(233,571) = 1.621314749702130922 C3(233,571) = 4.340500095611980927 C4(233,571) = 4568 Sum = 4101.077448827651313 Averaged sum = 0.4097389798009442815 logp*logq = 34.59986266158291226 -------------- ************************************* p = 233; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1125318696740765.086 -------------- Searches starting with [233,577]-exponents: u = 617, v = 6 n_start has 1478 digits --- performed 5000 steps in the continued fraction search [233,577]-exponents: u = 50, v = 484 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,577) = 0.5966835930859864854 D2(233,577) = 0.3995110776173911130 C1(233,577) = 0.7541746940765887223 C2(233,577) = 1.440418013254127306 C3(233,577) = 3.592808006104193028 C4(233,577) = 4616 Sum = 5632.686400640684299 Averaged sum = 0.5633249725613245623 logp*logq = 34.65684267644095971 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,577) = 0.5966835930859864854 D2(233,577) = 0.3995110776173911130 C1(233,577) = 0.7541746940765887223 C2(233,577) = 1.440418013254127306 C3(233,577) = 3.592808006104193028 C4(233,577) = 4616 Sum = 5632.686400640684299 Averaged sum = 0.5633249725613245623 logp*logq = 34.65684267644095971 -------------- ************************************* p = 233; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1235812984326270.885 -------------- Searches starting with [233,587]-exponents: u = 7, v = 53 n_start has 164 digits starting right neighbors generation We generated 1813 left neighbors We generated 8197 right neighbors We generated 10009 non-negative rho_i D1(233,587) = 0.8995796054042115069 D2(233,587) = 0.01901792080193264090 C1(233,587) = 1.259871111965692062 C2(233,587) = 1.659692851117092940 C3(233,587) = 8.469717522760595750 C4(233,587) = 4696 Sum = 5098.586621249095742 Averaged sum = 0.5094002019431607295 logp*logq = 34.75050543531870574 -------------- ************************************* p = 233; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1306254403098285.645 -------------- Searches starting with [233,593]-exponents: u = 7, v = 35 n_start has 114 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(233,593) = 0.8365833392121587034 D2(233,593) = 0.02821049580471209680 C1(233,593) = 1.218614856663903248 C2(233,593) = 1.754170322982738325 C3(233,593) = 7.897407547249628944 C4(233,593) = 4744 Sum = 3306.312188492290148 Averaged sum = 0.3303339183227385501 logp*logq = 34.80594020242893418 -------------- ************************************* p = 233; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1379940658322099.455 -------------- Searches starting with [233,599]-exponents: u = 7, v = 23 n_start has 81 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(233,599) = 0.7510256611546086297 D2(233,599) = 0.08021939386537754619 C1(233,599) = 1.005543971888559531 C2(233,599) = 1.807811492122891895 C3(233,599) = 5.502528060462878718 C4(233,599) = 4792 Sum = 4078.267012658995546 Averaged sum = 0.4074599872773499397 logp*logq = 34.86081689193934984 -------------- ************************************* p = 233; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1405243562749130.473 -------------- Searches starting with [233,601]-exponents: u = 7, v = 23 n_start has 81 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(233,601) = 0.9145670558647525910 D2(233,601) = 0.09929472128494230573 C1(233,601) = 1.385149064026348555 C2(233,601) = 1.827427214057686480 C3(233,601) = 10.47450571048118267 C4(233,601) = 4808 Sum = 2953.490007371365568 Averaged sum = 0.2950834256540479136 logp*logq = 34.87898703694212297 -------------- ************************************* p = 233; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1483435194998108.997 -------------- Searches starting with [233,607]-exponents: u = 7, v = 17 n_start has 64 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(233,607) = 0.7599078354885563340 D2(233,607) = 0.01223702638492129994 C1(233,607) = 1.048463251372349043 C2(233,607) = 1.742746999613568107 C3(233,607) = 5.917951812060430062 C4(233,607) = 4856 Sum = 4578.466257178789521 Averaged sum = 0.4574349342770296254 logp*logq = 34.93313687084823600 -------------- ************************************* p = 233; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1565143761091123.153 -------------- Searches starting with [233,613]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(233,613) = 0.7267330342747230565 D2(233,613) = 0.03590549543856155298 C1(233,613) = 1.013974611334511321 C2(233,613) = 1.893928231500377343 C3(233,613) = 5.581761257097459920 C4(233,613) = 4904 Sum = 4512.950247752139325 Averaged sum = 0.4508892244731880632 logp*logq = 34.98675407480604257 -------------- ************************************* p = 233; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1621629833441606.796 -------------- Searches starting with [233,617]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(233,617) = 0.8496243758085598266 D2(233,617) = 0.05169600517750623836 C1(233,617) = 1.261692189607857951 C2(233,617) = 1.910868054255123358 C3(233,617) = 8.495914088186530193 C4(233,617) = 4936 Sum = 3515.385057895797503 Averaged sum = 0.3512224056245176843 logp*logq = 35.02220810843139725 -------------- ************************************* p = 233; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1650490687493258.723 -------------- Searches starting with [233,619]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(233,619) = 1.125304182540990774 D2(233,619) = 0.05979404810555725047 C1(233,619) = 1.520534942846452281 C2(233,619) = 1.919537905128015264 C3(233,619) = 13.17778530856222736 C4(233,619) = 4952 Sum = 4465.040247023883056 Averaged sum = 0.4461025324232074189 logp*logq = 35.03984902497216668 -------------- ************************************* p = 233; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1832600110234684.455 -------------- Searches starting with [233,631]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(233,631) = 0.6662000213990202953 D2(233,631) = 0.07883309889639741776 C1(233,631) = 1.106655533102971872 C2(233,631) = 1.392648990106459374 C3(233,631) = 6.531739146208617688 C4(233,631) = 5048 Sum = 4061.105111328681899 Averaged sum = 0.4057453403265742731 logp*logq = 35.14451217861172979 -------------- ************************************* p = 233; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1996599934854029.286 -------------- Searches starting with [233,641]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(233,641) = 0.6071089425184759812 D2(233,641) = 0.03325539721785340127 C1(233,641) = 0.8401002598282700143 C2(233,641) = 1.925794165193058661 C3(233,641) = 4.156391094939948845 C4(233,641) = 5128 Sum = 4129.721611453424383 Averaged sum = 0.4126008204069761597 logp*logq = 35.23022209620241878 -------------- ************************************* p = 233; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2030794596329571.021 -------------- Searches starting with [233,643]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(233,643) = 0.5627786671928839428 D2(233,643) = 0.02439718768043327841 C1(233,643) = 0.8055065000606346885 C2(233,643) = 1.917568863394028175 C3(233,643) = 3.919573561454729228 C4(233,643) = 5144 Sum = 4108.735533083427267 Averaged sum = 0.4105040996186859094 logp*logq = 35.24720353814024612 -------------- ************************************* p = 233; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2100619163862598.400 -------------- Searches starting with [233,647]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(233,647) = 0.9484752331487976469 D2(233,647) = 0.007298918598679551823 C1(233,647) = 1.494757369782864049 C2(233,647) = 1.901730434611722959 C3(233,647) = 12.61414387585969866 C4(233,647) = 5176 Sum = 3434.500116656391153 Averaged sum = 0.3431411845994995657 logp*logq = 35.28100853611788138 -------------- ************************************* p = 233; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2209021763372126.805 -------------- Searches starting with [233,653]-exponents: u = 19, v = 5 n_start has 60 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(233,653) = 0.6543518946408910476 D2(233,653) = 0.1266023971130429091 C1(233,653) = 0.9475949637015209918 C2(233,653) = 1.902509920156935546 C3(233,653) = 4.987512809513022678 C4(233,653) = 5224 Sum = 3783.735076223609818 Averaged sum = 0.3780332776724557715 logp*logq = 35.33132617143780963 -------------- ************************************* p = 233; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2321949612799939.460 -------------- Searches starting with [233,659]-exponents: u = 25, v = 5 n_start has 74 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(233,659) = 0.7157755012614435747 D2(233,659) = 0.07206003780733153522 C1(233,659) = 1.092868794245380640 C2(233,659) = 1.849756154064034628 C3(233,659) = 6.380800777905310985 C4(233,659) = 5272 Sum = 3811.626038770934624 Averaged sum = 0.3808198659976955364 logp*logq = 35.38118357803704505 -------------- ************************************* p = 233; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2360622827343589.859 -------------- Searches starting with [233,661]-exponents: u = 25, v = 5 n_start has 74 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(233,661) = 0.6868165821683662743 D2(233,661) = 0.05573622796807523932 C1(233,661) = 0.9235474033313037409 C2(233,661) = 1.834024883781958616 C3(233,661) = 4.788213369974338849 C4(233,661) = 5288 Sum = 4290.791829916180188 Averaged sum = 0.4286933589685463271 logp*logq = 35.39770188902146598 -------------- ************************************* p = 233; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2603867388071162.438 -------------- Searches starting with [233,673]-exponents: u = 43, v = 5 n_start has 116 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(233,673) = 0.7070127840596978577 D2(233,673) = 0.03085424139578388052 C1(233,673) = 0.9291175816225573729 C2(233,673) = 1.730252233784224731 C3(233,673) = 4.833656848518789437 C4(233,673) = 5384 Sum = 3467.293622030289726 Averaged sum = 0.3464175863752912105 logp*logq = 35.49577419172027010 -------------- ************************************* p = 233; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2689352185655062.241 -------------- Searches starting with [233,677]-exponents: u = 55, v = 5 n_start has 145 digits starting right neighbors generation We generated 1236 left neighbors We generated 8774 right neighbors We generated 10009 non-negative rho_i D1(233,677) = 0.9035915418144171194 D2(233,677) = 0.03940650483149178696 C1(233,677) = 1.285969549088024317 C2(233,677) = 1.678535892597517582 C3(233,677) = 8.852988162442443706 C4(233,677) = 5416 Sum = 3613.822770564540605 Averaged sum = 0.3610573254635368773 logp*logq = 35.52807673634531861 -------------- ************************************* p = 233; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2821865106482267.324 -------------- Searches starting with [233,683]-exponents: u = 85, v = 5 n_start has 216 digits starting right neighbors generation We generated 2806 left neighbors We generated 7204 right neighbors We generated 10009 non-negative rho_i D1(233,683) = 0.5577671957125643858 D2(233,683) = 0.02243453111954465003 C1(233,683) = 0.7674562999481654814 C2(233,683) = 1.575443933849057243 C3(233,683) = 3.674647096349082434 C4(233,683) = 5464 Sum = 4463.788183671490018 Averaged sum = 0.4459774386723438923 logp*logq = 35.57617444651925354 -------------- ************************************* p = 233; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3006796418647692.642 -------------- Searches starting with [233,691]-exponents: u = 415, v = 5 n_start has 997 digits --- performed 5000 steps in the continued fraction search [233,691]-exponents: u = 260, v = 122 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,691) = 0.5422831457048571000 D2(233,691) = 0.3032778094187449332 C1(233,691) = 0.6963180839192888275 C2(233,691) = 1.426209737012131649 C3(233,691) = 3.257045437294511691 C4(233,691) = 5528 Sum = 5375.584912540372313 Averaged sum = 0.5376122524792851597 logp*logq = 35.63965159414684134 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,691) = 0.5422831457048571000 D2(233,691) = 0.3032778094187449332 C1(233,691) = 0.6963180839192888275 C2(233,691) = 1.426209737012131649 C3(233,691) = 3.257045437294511691 C4(233,691) = 5528 Sum = 5375.584912540372313 Averaged sum = 0.5376122524792851597 logp*logq = 35.63965159414684134 -------------- ************************************* p = 233; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3251758947676182.121 -------------- Searches starting with [233,701]-exponents: u = 6, v = 94 n_start has 282 digits starting right neighbors generation We generated 4881 left neighbors We generated 5129 right neighbors We generated 10009 non-negative rho_i D1(233,701) = 0.5696398848880699238 D2(233,701) = 0.01502599440467308463 C1(233,701) = 0.7717687504595637944 C2(233,701) = 1.520585408965486434 C3(233,701) = 3.701618586750028753 C4(233,701) = 5608 Sum = 4555.754000860154034 Averaged sum = 0.4551657509101962268 logp*logq = 35.71797245951808814 -------------- ************************************* p = 233; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3459252356782028.627 -------------- Searches starting with [233,709]-exponents: u = 6, v = 44 n_start has 140 digits starting right neighbors generation We generated 1177 left neighbors We generated 8833 right neighbors We generated 10009 non-negative rho_i D1(233,709) = 0.6977005408488954631 D2(233,709) = 0.01275864102184854365 C1(233,709) = 0.9878670622042462505 C2(233,709) = 1.680369987347720543 C3(233,709) = 5.340028671455819121 C4(233,709) = 5672 Sum = 4514.448447133714785 Averaged sum = 0.4510389096946462968 logp*logq = 35.77982887877636552 -------------- ************************************* p = 233; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3733696673852318.879 -------------- Searches starting with [233,719]-exponents: u = 6, v = 29 n_start has 98 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(233,719) = 0.6757428835188791684 D2(233,719) = 0.04942999862769513464 C1(233,719) = 0.9980676836476221791 C2(233,719) = 1.787407137546425208 C3(233,719) = 5.433205539566321874 C4(233,719) = 5752 Sum = 3578.811660263311023 Averaged sum = 0.3575593625999911103 logp*logq = 35.85617520316131383 -------------- ************************************* p = 233; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3965830146774482.815 -------------- Searches starting with [233,727]-exponents: u = 6, v = 19 n_start has 69 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(233,727) = 0.5955607882919295655 D2(233,727) = 0.01379154217951385809 C1(233,727) = 0.8104246774029829208 C2(233,727) = 1.847744989850540897 C3(233,727) = 3.952400586934049349 C4(233,727) = 5816 Sum = 4139.000901845156830 Averaged sum = 0.4135279150609608183 logp*logq = 35.91649159675241409 -------------- ************************************* p = 233; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4147552950502779.812 -------------- Searches starting with [233,733]-exponents: u = 6, v = 19 n_start has 69 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(233,733) = 0.8936481423681382906 D2(233,733) = 0.04752208386817091995 C1(233,733) = 1.171009234867944519 C2(233,733) = 1.882847181777509848 C3(233,733) = 7.284906767259131678 C4(233,733) = 5864 Sum = 3828.764386950969207 Averaged sum = 0.3825321597513207320 logp*logq = 35.96129490475982098 -------------- ************************************* p = 233; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4336018667813147.961 -------------- Searches starting with [233,739]-exponents: u = 6, v = 14 n_start has 55 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(233,739) = 0.7916737121332839550 D2(233,739) = 0.08421107108217042246 C1(233,739) = 1.081340824010640221 C2(233,739) = 1.920896438062074896 C3(233,739) = 6.257272583530279008 C4(233,739) = 5912 Sum = 4452.364484607832890 Averaged sum = 0.4448360959744063233 logp*logq = 36.00573296434622286 -------------- ************************************* p = 233; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4465503391721345.125 -------------- Searches starting with [233,743]-exponents: u = 6, v = 14 n_start has 55 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(233,743) = 0.8775543872684398460 D2(233,743) = 0.1107605431525882643 C1(233,743) = 1.245635246710189226 C2(233,743) = 1.948346525299232156 C3(233,743) = 8.267696143054591249 C4(233,743) = 5944 Sum = 4764.001441507899218 Averaged sum = 0.4759717695581875530 logp*logq = 36.03515834459118723 -------------- ************************************* p = 233; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4733952274045975.502 -------------- Searches starting with [233,751]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(233,751) = 0.7562718769420306764 D2(233,751) = 0.1144446861921237391 C1(233,751) = 1.208934748030835926 C2(233,751) = 1.347544745015033903 C3(233,751) = 7.768825226579900847 C4(233,751) = 6008 Sum = 4088.942299169673436 Averaged sum = 0.4085265560165524464 logp*logq = 36.09353682442355870 -------------- ************************************* p = 233; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4943816591270144.075 -------------- Searches starting with [233,757]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(233,757) = 0.8308025421875118666 D2(233,757) = 0.1196096407607440016 C1(233,757) = 1.200915620511256780 C2(233,757) = 1.881299757531908702 C3(233,757) = 7.663892958924406006 C4(233,757) = 6056 Sum = 3870.524879542340559 Averaged sum = 0.3867044539456829412 logp*logq = 36.13691401714295225 -------------- ************************************* p = 233; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5087899961059570.992 -------------- Searches starting with [233,761]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(233,761) = 0.6782144713910520034 D2(233,761) = 0.1049867116999779301 C1(233,761) = 1.023389500451930563 C2(233,761) = 1.867635739435789566 C3(233,761) = 5.671593908043381814 C4(233,761) = 6088 Sum = 3933.571506877569943 Averaged sum = 0.3930034475849305568 logp*logq = 36.16564155901377519 -------------- ************************************* p = 233; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5386360943666682.981 -------------- Searches starting with [233,769]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(233,769) = 0.9802503274942100489 D2(233,769) = 0.008428913445540388992 C1(233,769) = 1.322852171731405953 C2(233,769) = 1.997056811851490979 C3(233,769) = 9.424388260351852438 C4(233,769) = 6152 Sum = 4386.319620541504575 Averaged sum = 0.4382375482607158132 logp*logq = 36.22264640221744742 -------------- ************************************* p = 233; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5540863892528070.551 -------------- Searches starting with [233,773]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(233,773) = 1.275612013966427066 D2(233,773) = 0.01817137496540234560 C1(233,773) = 1.801823896743998812 C2(233,773) = 2.007747819858025628 C3(233,773) = 21.23273328371094256 C4(233,773) = 6184 Sum = 4293.718040926378806 Averaged sum = 0.4289857169473852339 logp*logq = 36.25092682079235906 -------------- ************************************* p = 233; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6110399797602302.775 -------------- Searches starting with [233,787]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(233,787) = 0.8728372875842962545 D2(233,787) = 0.02785331974454247431 C1(233,787) = 1.178891471303801060 C2(233,787) = 2.057003631884699854 C3(233,787) = 7.382935963593100724 C4(233,787) = 6296 Sum = 4181.567592582763972 Averaged sum = 0.4177807565773567761 logp*logq = 36.34876859927632187 -------------- ************************************* p = 233; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6545772110083560.243 -------------- Searches starting with [233,797]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(233,797) = 0.9349294663644245989 D2(233,797) = 0.06386842854083070414 C1(233,797) = 1.233886277252638717 C2(233,797) = 1.644860352573429200 C3(233,797) = 8.104600923996505600 C4(233,797) = 6376 Sum = 3766.341167292405921 Averaged sum = 0.3762954508234994426 logp*logq = 36.41759575676978897 -------------- ************************************* p = 233; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7101322109508802.183 -------------- Searches starting with [233,809]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(233,809) = 0.8019290297541900562 D2(233,809) = 0.1030781828344968228 C1(233,809) = 1.071227038351856255 C2(233,809) = 1.892396372913825432 C3(233,809) = 6.150869050731409023 C4(233,809) = 6472 Sum = 4026.944219056954091 Averaged sum = 0.4023323228151617635 logp*logq = 36.49905737422941308 -------------- ************************************* p = 233; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7197547481048801.781 -------------- Searches starting with [233,811]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(233,811) = 0.7953242023059714109 D2(233,811) = 0.1084703646233739202 C1(233,811) = 1.066328725553419630 C2(233,811) = 1.898211854388735405 C3(233,811) = 6.099987927109612076 C4(233,811) = 6488 Sum = 4090.126417526745438 Averaged sum = 0.4086448613774348524 logp*logq = 36.51251673527381476 -------------- ************************************* p = 233; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7694787243616426.701 -------------- Searches starting with [233,821]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(233,821) = 0.8711624366694625260 D2(233,821) = 0.08913775423572283319 C1(233,821) = 1.403993934765603423 C2(233,821) = 1.257842071983581255 C3(233,821) = 10.81464814090313703 C4(233,821) = 6568 Sum = 3580.051899378004306 Averaged sum = 0.3576832749903091523 logp*logq = 36.57931951316646073 -------------- ************************************* p = 233; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7797522009118173.350 -------------- Searches starting with [233,823]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(233,823) = 0.6817715553619011074 D2(233,823) = 0.1064750249094939508 C1(233,823) = 0.9181866566579422052 C2(233,823) = 1.444907045246423013 C3(233,823) = 4.744881998272735425 C4(233,823) = 6584 Sum = 4300.498389595048266 Averaged sum = 0.4296631421315863989 logp*logq = 36.59258238699301530 -------------- ************************************* p = 233; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8006352757233343.892 -------------- Searches starting with [233,827]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(233,827) = 0.8255822980555760879 D2(233,827) = 0.09423418950520395066 C1(233,827) = 1.096654229192903204 C2(233,827) = 1.996679485414820974 C3(233,827) = 6.421893211951185566 C4(233,827) = 6616 Sum = 4076.242409921905543 Averaged sum = 0.4072577090540419165 logp*logq = 36.61901171611834502 -------------- ************************************* p = 233; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8112467591672586.171 -------------- Searches starting with [233,829]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(233,829) = 0.6525912587381549297 D2(233,829) = 0.08245846166272893759 C1(233,829) = 0.8985298777672326774 C2(233,829) = 1.985396854286358014 C3(233,829) = 4.589322808525283213 C4(233,829) = 6632 Sum = 4332.075917745048813 Averaged sum = 0.4328180555245328018 logp*logq = 36.63217848206975066 -------------- ************************************* p = 233; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8660418469748854.850 -------------- Searches starting with [233,839]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(233,839) = 0.7823038371749869038 D2(233,839) = 0.02893682874104578680 C1(233,839) = 1.218079202272328298 C2(233,839) = 1.934322802165207154 C3(233,839) = 7.890237067931735525 C4(233,839) = 6712 Sum = 3746.524256653256467 Averaged sum = 0.3743155416778156126 logp*logq = 36.69753943845945206 -------------- ************************************* p = 233; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9477981885566255.975 -------------- Searches starting with [233,853]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(233,853) = 1.169046959493371259 D2(233,853) = 0.08010459427837932109 C1(233,853) = 1.777528037843671086 C2(233,853) = 1.895904317720444897 C3(233,853) = 20.37569863147080904 C4(233,853) = 6824 Sum = 4866.012990376724566 Averaged sum = 0.4861637516611773969 logp*logq = 36.78774780724579966 -------------- ************************************* p = 233; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9722797572232208.778 -------------- Searches starting with [233,857]-exponents: u = 26, v = 4 n_start has 74 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(233,857) = 0.7492303754331544964 D2(233,857) = 0.05041616460956143413 C1(233,857) = 1.006341611107359471 C2(233,857) = 1.867137575075654910 C3(233,857) = 5.509976044245663567 C4(233,857) = 6856 Sum = 4260.289235017400269 Averaged sum = 0.4256458422437206782 logp*logq = 36.81324978804520512 -------------- ************************************* p = 233; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9847127440343432.925 -------------- Searches starting with [233,859]-exponents: u = 26, v = 4 n_start has 74 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(233,859) = 0.5560682467001644894 D2(233,859) = 0.03648453020899441752 C1(233,859) = 0.7666840525778185960 C2(233,859) = 1.853665158496784501 C3(233,859) = 3.669837994936431806 C4(233,859) = 6872 Sum = 4269.011984998534810 Averaged sum = 0.4265173329002432621 logp*logq = 36.82595617714027539 -------------- ************************************* p = 233; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10099683111293683.28 -------------- Searches starting with [233,863]-exponents: u = 31, v = 4 n_start has 86 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(233,863) = 0.6930477730522307030 D2(233,863) = 0.01015018772493855375 C1(233,863) = 1.035295601493981844 C2(233,863) = 1.828246025552050742 C3(233,863) = 5.787269722925993111 C4(233,863) = 6904 Sum = 3582.258015286428371 Averaged sum = 0.3579036882092545080 logp*logq = 36.85128044314625237 -------------- ************************************* p = 233; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11025643658663364.76 -------------- Searches starting with [233,877]-exponents: u = 41, v = 4 n_start has 109 digits starting right neighbors generation We generated 532 left neighbors We generated 9478 right neighbors We generated 10009 non-negative rho_i D1(233,877) = 0.7359067215483385446 D2(233,877) = 0.04632594856265679593 C1(233,877) = 1.061864970202129140 C2(233,877) = 1.744762035674569505 C3(233,877) = 6.053987393871167606 C4(233,877) = 7016 Sum = 4389.829496162194975 Averaged sum = 0.4385882202180232765 logp*logq = 36.93900019627762128 -------------- ************************************* p = 233; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11302562612923654.34 -------------- Searches starting with [233,881]-exponents: u = 51, v = 4 n_start has 133 digits starting right neighbors generation We generated 950 left neighbors We generated 9060 right neighbors We generated 10009 non-negative rho_i D1(233,881) = 0.6897976554764694436 D2(233,881) = 0.006942753970324888196 C1(233,881) = 0.9873090925503157518 C2(233,881) = 1.706227385928093565 C3(233,881) = 5.334978281417081919 C4(233,881) = 7048 Sum = 3242.556123862323981 Averaged sum = 0.3239640447459610332 logp*logq = 36.96380587482305276 -------------- ************************************* p = 233; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11443136484761292.12 -------------- Searches starting with [233,883]-exponents: u = 51, v = 4 n_start has 133 digits starting right neighbors generation We generated 820 left neighbors We generated 9190 right neighbors We generated 10009 non-negative rho_i D1(233,883) = 0.8322044687119166716 D2(233,883) = 0.03620598871180545589 C1(233,883) = 1.182799232779369732 C2(233,883) = 1.692022919488261448 C3(233,883) = 7.432023714867977677 C4(233,883) = 7064 Sum = 4873.598549894678990 Averaged sum = 0.4869216255264940544 logp*logq = 36.97616651153345576 -------------- ************************************* p = 233; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11728568532772907.68 -------------- Searches starting with [233,887]-exponents: u = 61, v = 4 n_start has 157 digits starting right neighbors generation We generated 1168 left neighbors We generated 8842 right neighbors We generated 10009 non-negative rho_i D1(233,887) = 0.7400546718165047521 D2(233,887) = 0.03170949021188129734 C1(233,887) = 1.039601996669188654 C2(233,887) = 1.651609591288820531 C3(233,887) = 5.829687758867005517 C4(233,887) = 7096 Sum = 4694.070918821489352 Averaged sum = 0.4689850053773093567 logp*logq = 37.00080401541251030 -------------- ************************************* p = 233; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13244362297781194.89 -------------- Searches starting with [233,907]-exponents: u = 461, v = 4 n_start has 1104 digits --- performed 5000 steps in the continued fraction search [233,907]-exponents: u = 30, v = 338 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,907) = 0.5458387131969310064 D2(233,907) = 0.2873844208607067745 C1(233,907) = 0.6967561378750827997 C2(233,907) = 1.430043932372137801 C3(233,907) = 3.259465847324846528 C4(233,907) = 7256 Sum = 5384.079725425003531 Averaged sum = 0.5384618187243727904 logp*logq = 37.12234836983774533 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,907) = 0.5458387131969310064 D2(233,907) = 0.2873844208607067745 C1(233,907) = 0.6967561378750827997 C2(233,907) = 1.430043932372137801 C3(233,907) = 3.259465847324846528 C4(233,907) = 7256 Sum = 5384.079725425003531 Averaged sum = 0.5384618187243727904 logp*logq = 37.12234836983774533 -------------- ************************************* p = 233; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13565895799987808.76 -------------- Searches starting with [233,911]-exponents: u = 5, v = 1827 n_start has 5419 digits --- performed 5000 steps in the continued fraction search [233,911]-exponents: u = 2140, v = 117 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,911) = 0.6613896282934504745 D2(233,911) = 0.5629642689102599098 C1(233,911) = 0.8064160701063231002 C2(233,911) = 1.506053460401909949 C3(233,911) = 3.925623990237167515 C4(233,911) = 7288 Sum = 6165.353348373067655 Averaged sum = 0.6165969945367604416 logp*logq = 37.14633537643705192 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,911) = 0.6613896282934504745 D2(233,911) = 0.5629642689102599098 C1(233,911) = 0.8064160701063231002 C2(233,911) = 1.506053460401909949 C3(233,911) = 3.925623990237167515 C4(233,911) = 7288 Sum = 6165.353348373067655 Averaged sum = 0.6165969945367604416 logp*logq = 37.14633537643705192 -------------- ************************************* p = 233; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14228096518030648.96 -------------- Searches starting with [233,919]-exponents: u = 5, v = 143 n_start has 436 digits --- performed 5000 steps in the continued fraction search [233,919]-exponents: u = 71, v = 59 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,919) = 0.7436105794093767347 D2(233,919) = 0.001291813338991654076 C1(233,919) = 0.9867042907148340009 C2(233,919) = 1.421936140204913102 C3(233,919) = 5.329509390452540840 C4(233,919) = 7352 Sum = 4784.355545557314428 Averaged sum = 0.4784834028960210448 logp*logq = 37.19399503264204987 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(233,919) = 0.7436105794093767347 D2(233,919) = 0.001291813338991654076 C1(233,919) = 0.9867042907148340009 C2(233,919) = 1.421936140204913102 C3(233,919) = 5.329509390452540840 C4(233,919) = 7352 Sum = 4784.355545557314428 Averaged sum = 0.4784834028960210448 logp*logq = 37.19399503264204987 -------------- ************************************* p = 233; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15092729476030505.16 -------------- Searches starting with [233,929]-exponents: u = 5, v = 67 n_start has 211 digits starting right neighbors generation We generated 2327 left neighbors We generated 7683 right neighbors We generated 10009 non-negative rho_i D1(233,929) = 1.018788235662941587 D2(233,929) = 0.01494613293555980161 C1(233,929) = 1.408709343239973037 C2(233,929) = 1.595325451740136608 C3(233,929) = 10.90147327694936075 C4(233,929) = 7432 Sum = 4049.347520010268170 Averaged sum = 0.4045706384264430183 logp*logq = 37.25298953112362654 -------------- ************************************* p = 233; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15814912153999900.59 -------------- Searches starting with [233,937]-exponents: u = 5, v = 47 n_start has 152 digits starting right neighbors generation We generated 1119 left neighbors We generated 8891 right neighbors We generated 10009 non-negative rho_i D1(233,937) = 0.9120057188754225686 D2(233,937) = 0.04318002782307666381 C1(233,937) = 1.291301063489363268 C2(233,937) = 1.687713458385842020 C3(233,937) = 8.933392860553193918 C4(233,937) = 7496 Sum = 3555.591069311569739 Averaged sum = 0.3552393914788260304 logp*logq = 37.29972969705280106 -------------- ************************************* p = 233; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16186441515971734.63 -------------- Searches starting with [233,941]-exponents: u = 5, v = 39 n_start has 128 digits starting right neighbors generation We generated 780 left neighbors We generated 9230 right neighbors We generated 10009 non-negative rho_i D1(233,941) = 0.7697210429331035564 D2(233,941) = 0.03679762270396878103 C1(233,941) = 1.051355954526754289 C2(233,941) = 1.721834938052422929 C3(233,941) = 5.947053430249801588 C4(233,941) = 7528 Sum = 4494.985637138960769 Averaged sum = 0.4490943787730003765 logp*logq = 37.32295034325777047 -------------- ************************************* p = 233; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16757073972515186.76 -------------- Searches starting with [233,947]-exponents: u = 5, v = 31 n_start has 105 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(233,947) = 0.7141184980530825727 D2(233,947) = 0.03279869998234583348 C1(233,947) = 1.034135898198480495 C2(233,947) = 1.767027916135785312 C3(233,947) = 5.775899477534389258 C4(233,947) = 7576 Sum = 4253.913053531560856 Averaged sum = 0.4250087974354641679 logp*logq = 37.35759689074425796 -------------- ************************************* p = 233; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17344027686310227.21 -------------- Searches starting with [233,953]-exponents: u = 5, v = 27 n_start has 93 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(233,953) = 0.7083342485841786356 D2(233,953) = 0.007149940163738711286 C1(233,953) = 0.9629071556011934129 C2(233,953) = 1.802630158483366507 C3(233,953) = 5.118717193226437578 C4(233,953) = 7624 Sum = 4265.488510708837541 Averaged sum = 0.4261653022988148207 logp*logq = 37.39202461647143396 -------------- ************************************* p = 233; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18779088581177009.75 -------------- Searches starting with [233,967]-exponents: u = 5, v = 19 n_start has 69 digits starting right neighbors generation We generated 152 left neighbors We generated 9858 right neighbors We generated 10009 non-negative rho_i D1(233,967) = 0.7787844113421786481 D2(233,967) = 0.1097406928605295973 C1(233,967) = 1.016949555676377244 C2(233,967) = 1.907498261259323547 C3(233,967) = 5.609991996706343967 C4(233,967) = 7736 Sum = 3687.731273988361966 Averaged sum = 0.3684415300218165617 logp*logq = 37.47152033615939101 -------------- ************************************* p = 233; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19206440777155524.69 -------------- Searches starting with [233,971]-exponents: u = 5, v = 19 n_start has 69 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(233,971) = 0.7360526411537241773 D2(233,971) = 0.01720282569964069525 C1(233,971) = 1.050442436322004910 C2(233,971) = 1.894536356095646136 C3(233,971) = 5.937847686153203709 C4(233,971) = 7768 Sum = 4126.695555938044553 Averaged sum = 0.4122984869555444652 logp*logq = 37.49402207483477047 -------------- ************************************* p = 233; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19862332094485673.01 -------------- Searches starting with [233,977]-exponents: u = 5, v = 19 n_start has 69 digits starting right neighbors generation We generated 233 left neighbors We generated 9777 right neighbors We generated 10009 non-negative rho_i D1(233,977) = 0.8040027814969073566 D2(233,977) = 0.04798692195364313585 C1(233,977) = 1.233038113602139226 C2(233,977) = 1.926324119592888133 C3(233,977) = 8.092952284569818141 C4(233,977) = 7816 Sum = 3073.936783585109870 Averaged sum = 0.3071172728129793056 logp*logq = 37.52760147334499771 -------------- ************************************* p = 233; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20536399304494183.39 -------------- Searches starting with [233,983]-exponents: u = 5, v = 15 n_start has 57 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(233,983) = 0.6861836522801202276 D2(233,983) = 0.08129604613606360956 C1(233,983) = 0.9629333829217082974 C2(233,983) = 1.960630669631457444 C3(233,983) = 5.118944860663579421 C4(233,983) = 7864 Sum = 3993.973866906861679 Averaged sum = 0.3990382522636488839 logp*logq = 37.56097528241272337 -------------- ************************************* p = 233; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21464100854665236.20 -------------- Searches starting with [233,991]-exponents: u = 5, v = 15 n_start has 57 digits starting right neighbors generation We generated 123 left neighbors We generated 9887 right neighbors We generated 10009 non-negative rho_i D1(233,991) = 0.6737383442290631932 D2(233,991) = 0.1309321332984138323 C1(233,991) = 0.9337343582392878984 C2(233,991) = 2.011587081336007488 C3(233,991) = 4.871648840776434164 C4(233,991) = 7928 Sum = 4386.264804124872989 Averaged sum = 0.4382320715480940143 logp*logq = 37.60515820680535984 -------------- ************************************* p = 233; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22182097939427564.48 -------------- Searches starting with [233,997]-exponents: u = 5, v = 11 n_start has 45 digits starting right neighbors generation We generated 33 left neighbors We generated 9977 right neighbors We generated 10009 non-negative rho_i D1(233,997) = 1.396717860544128029 D2(233,997) = 0.1076551292994528298 C1(233,997) = 2.201136878900511145 C2(233,997) = 1.274727411935894722 C3(233,997) = 41.79185305858319449 C4(233,997) = 7976 Sum = 4709.523833955187194 Averaged sum = 0.4705289073788777294 logp*logq = 37.63806195934935950 -------------- ************************************* p = 239; q = 241; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11092501950148.35290 -------------- Searches starting with [239,241]-exponents: u = 1, v = 657 n_start has 1568 digits --- performed 5000 steps in the continued fraction search [239,241]-exponents: u = 422, v = 229 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,241) = 0.7995516788629138725 D2(239,241) = 0.2542321061923888751 C1(239,241) = 1.009069699945769660 C2(239,241) = 1.180300042823784217 C3(239,241) = 5.561579848635447556 C4(239,241) = 1928 Sum = 5844.381951875364911 Averaged sum = 0.5844966448520216933 logp*logq = 30.03729049600729013 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,241) = 0.7995516788629138725 D2(239,241) = 0.2542321061923888751 C1(239,241) = 1.009069699945769660 C2(239,241) = 1.180300042823784217 C3(239,241) = 5.561579848635447556 C4(239,241) = 1928 Sum = 5844.381951875364911 Averaged sum = 0.5844966448520216933 logp*logq = 30.03729049600729013 -------------- ************************************* p = 239; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13858801430402.87057 -------------- Searches starting with [239,251]-exponents: u = 1, v = 111 n_start has 269 digits starting right neighbors generation We generated 1589 left neighbors We generated 8421 right neighbors We generated 10009 non-negative rho_i D1(239,251) = 0.7103158034936252013 D2(239,251) = 0.005656523961775076792 C1(239,251) = 0.9658191262001575474 C2(239,251) = 1.213869505397088957 C3(239,251) = 5.167227934994243051 C4(239,251) = 2008 Sum = 5008.848908726441535 Averaged sum = 0.5004344998228036302 logp*logq = 30.25994162906805439 -------------- ************************************* p = 239; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15772876851041.77282 -------------- Searches starting with [239,257]-exponents: u = 1, v = 75 n_start has 184 digits starting right neighbors generation We generated 791 left neighbors We generated 9219 right neighbors We generated 10009 non-negative rho_i D1(239,257) = 0.6617173162731264252 D2(239,257) = 0.003100879484633358305 C1(239,257) = 0.8854003337388847392 C2(239,257) = 1.295350211102478511 C3(239,257) = 4.506800408108966182 C4(239,257) = 2056 Sum = 4263.786941775381332 Averaged sum = 0.4259952984089700601 logp*logq = 30.38931292582347645 -------------- ************************************* p = 239; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17897791888286.59145 -------------- Searches starting with [239,263]-exponents: u = 1, v = 57 n_start has 141 digits starting right neighbors generation We generated 494 left neighbors We generated 9516 right neighbors We generated 10009 non-negative rho_i D1(239,263) = 0.6597699911890512275 D2(239,263) = 0.0004292763548815734320 C1(239,263) = 0.9360776289513743702 C2(239,263) = 1.359552012381201763 C3(239,263) = 4.912397681317288822 C4(239,263) = 2104 Sum = 3566.676773513904109 Averaged sum = 0.3563469650828158766 logp*logq = 30.51569846296972964 -------------- ************************************* p = 239; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20251155183766.00127 -------------- Searches starting with [239,269]-exponents: u = 1, v = 46 n_start has 115 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(239,269) = 0.7436802901590138863 D2(239,269) = 0.02468768887457475203 C1(239,269) = 0.9988542986274831916 C2(239,269) = 1.436573041249987474 C3(239,269) = 5.465804588795112738 C4(239,269) = 2152 Sum = 4221.611232166025964 Averaged sum = 0.4217815198487387315 logp*logq = 30.63923295396593009 -------------- ************************************* p = 239; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21089566092855.91418 -------------- Searches starting with [239,271]-exponents: u = 1, v = 43 n_start has 107 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(239,271) = 0.6231379723671035252 D2(239,271) = 0.04642384357104736916 C1(239,271) = 0.8592076746416712783 C2(239,271) = 1.472445535163435431 C3(239,271) = 4.310474110140755062 C4(239,271) = 2168 Sum = 4602.409318973117646 Averaged sum = 0.4598270875185450740 logp*logq = 30.67979953613721318 -------------- ************************************* p = 239; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23776691977163.48202 -------------- Searches starting with [239,277]-exponents: u = 1, v = 37 n_start has 93 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(239,277) = 0.7620836024915332395 D2(239,277) = 0.03446294252295796995 C1(239,277) = 1.118342213171864190 C2(239,277) = 1.509217353110420413 C3(239,277) = 6.697241348617964824 C4(239,277) = 2216 Sum = 2867.315308825787680 Averaged sum = 0.2864737045484851314 logp*logq = 30.79972688805970857 -------------- ************************************* p = 239; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25718812385101.40091 -------------- Searches starting with [239,281]-exponents: u = 1, v = 33 n_start has 84 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(239,281) = 0.6787789706484388270 D2(239,281) = 0.02975263307420077678 C1(239,281) = 1.003426843847429907 C2(239,281) = 1.533964790147374913 C3(239,281) = 5.508469212907074994 C4(239,281) = 2248 Sum = 4270.237804944314698 Averaged sum = 0.4266398046702282643 logp*logq = 30.87824383946910366 -------------- ************************************* p = 239; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26737392487951.67454 -------------- Searches starting with [239,283]-exponents: u = 1, v = 32 n_start has 81 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(239,283) = 0.7268646446221123926 D2(239,283) = 0.04903425843319040056 C1(239,283) = 0.9683666526991601690 C2(239,283) = 1.564269338887683602 C3(239,283) = 5.189660743573584782 C4(239,283) = 2264 Sum = 4228.260060167545412 Averaged sum = 0.4224458047924413440 logp*logq = 30.91708416930801266 -------------- ************************************* p = 239; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32337810393662.12934 -------------- Searches starting with [239,293]-exponents: u = 1, v = 26 n_start has 67 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(239,293) = 0.7414003357335216166 D2(239,293) = 0.04555609077812640141 C1(239,293) = 1.119744846529954649 C2(239,293) = 1.624306483774837462 C3(239,293) = 6.713234146385902151 C4(239,293) = 2344 Sum = 4075.817189823271098 Averaged sum = 0.4072152252795754919 logp*logq = 31.10725826196168441 -------------- ************************************* p = 239; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41756362762995.34997 -------------- Searches starting with [239,307]-exponents: u = 1, v = 21 n_start has 55 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(239,307) = 0.7518957289012831614 D2(239,307) = 0.1084378919866233577 C1(239,307) = 0.9973265140811896788 C2(239,307) = 1.755022584803623118 C3(239,307) = 5.451623208346607070 C4(239,307) = 2456 Sum = 4278.504512751564128 Averaged sum = 0.4274657321162517862 logp*logq = 31.36287295712235317 -------------- ************************************* p = 239; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44824083058629.19840 -------------- Searches starting with [239,311]-exponents: u = 1, v = 20 n_start has 53 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(239,311) = 0.8660612082585136926 D2(239,311) = 0.1070597169221809334 C1(239,311) = 1.179979957009659251 C2(239,311) = 1.773612200596218303 C3(239,311) = 7.437302330295192209 C4(239,311) = 2488 Sum = 4643.970544704930769 Averaged sum = 0.4639794729448427185 logp*logq = 31.43376667918439804 -------------- ************************************* p = 239; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46425608720159.41291 -------------- Searches starting with [239,313]-exponents: u = 1, v = 20 n_start has 53 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(239,313) = 0.6293296894711187961 D2(239,313) = 0.03224523823119636451 C1(239,313) = 0.8866462964805392079 C2(239,313) = 1.719202499840695571 C3(239,313) = 4.516359130321152352 C4(239,313) = 2504 Sum = 4023.493989478824758 Averaged sum = 0.4019876100987935615 logp*logq = 31.46887233498570666 -------------- ************************************* p = 239; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49769111861957.83318 -------------- Searches starting with [239,317]-exponents: u = 1, v = 19 n_start has 50 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(239,317) = 0.6715953217938861746 D2(239,317) = 0.007984734781763244266 C1(239,317) = 0.9185201640388188754 C2(239,317) = 1.717934883221818039 C3(239,317) = 4.767902066312780824 C4(239,317) = 2536 Sum = 4484.523807715473836 Averaged sum = 0.4480491365486535954 logp*logq = 31.53841566379264966 -------------- ************************************* p = 239; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63058867244418.85277 -------------- Searches starting with [239,331]-exponents: u = 1, v = 16 n_start has 43 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(239,331) = 0.6075085696219444084 D2(239,331) = 0.04802474740882890820 C1(239,331) = 0.9649171795627734280 C2(239,331) = 1.812708502046474543 C3(239,331) = 5.159308908995555175 C4(239,331) = 2648 Sum = 4166.948787278728477 Averaged sum = 0.4163201905563721128 logp*logq = 31.77508980674455602 -------------- ************************************* p = 239; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69578173663157.41344 -------------- Searches starting with [239,337]-exponents: u = 1, v = 15 n_start has 41 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(239,337) = 1.047747244438408738 D2(239,337) = 0.01260785291124034801 C1(239,337) = 1.365779041384497398 C2(239,337) = 1.807802613363361542 C3(239,337) = 10.20065589331762154 C4(239,337) = 2696 Sum = 3974.483168349747800 Averaged sum = 0.3970909349934806474 logp*logq = 31.87347203729344990 -------------- ************************************* p = 239; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81662332158694.12219 -------------- Searches starting with [239,347]-exponents: u = 1, v = 14 n_start has 38 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(239,347) = 0.6736540062299469710 D2(239,347) = 0.03050370079751751532 C1(239,347) = 0.9711876783205848972 C2(239,347) = 1.861088284303603628 C3(239,347) = 5.214615560384661138 C4(239,347) = 2776 Sum = 3781.163812751510926 Averaged sum = 0.3777763825308733066 logp*logq = 32.03361396078877851 -------------- ************************************* p = 239; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84273449255707.28576 -------------- Searches starting with [239,349]-exponents: u = 1, v = 14 n_start has 38 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(239,349) = 0.7029226235122919903 D2(239,349) = 0.06913976626384484910 C1(239,349) = 1.050999485970647346 C2(239,349) = 1.900635980542625577 C3(239,349) = 5.972598657095988081 C4(239,349) = 2792 Sum = 3836.754067945731143 Averaged sum = 0.3833304094260896336 logp*logq = 32.06508797587916196 -------------- ************************************* p = 239; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89700592683259.76236 -------------- Searches starting with [239,353]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(239,353) = 0.9305681835997650575 D2(239,353) = 0.09761426278848316448 C1(239,353) = 1.514940747897853306 C2(239,353) = 1.145393097622846482 C3(239,353) = 13.14571001280446920 C4(239,353) = 2824 Sum = 3415.496243845267553 Averaged sum = 0.3412425061290106457 logp*logq = 32.12749849236567016 -------------- ************************************* p = 239; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98374291914308.73119 -------------- Searches starting with [239,359]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(239,359) = 0.7307018420008313408 D2(239,359) = 0.04906375627418597279 C1(239,359) = 0.9679868034688746645 C2(239,359) = 1.919562000261001549 C3(239,359) = 5.186309729328271595 C4(239,359) = 2872 Sum = 4077.274298563557166 Averaged sum = 0.4073608051317371532 logp*logq = 32.21980062481869880 -------------- ************************************* p = 239; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110994184262613.9145 -------------- Searches starting with [239,367]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(239,367) = 0.8388284678294649378 D2(239,367) = 0.1270780085429955125 C1(239,367) = 1.113802016520852625 C2(239,367) = 1.752060104877811141 C3(239,367) = 6.645734908880572793 C4(239,367) = 2936 Sum = 3839.723645537749576 Averaged sum = 0.3836271001636276927 logp*logq = 32.34049892183776191 -------------- ************************************* p = 239; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121302480999138.4873 -------------- Searches starting with [239,373]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(239,373) = 0.6309889210948286277 D2(239,373) = 0.05753508728130641766 C1(239,373) = 0.8503957125642585863 C2(239,373) = 1.973259544793179773 C3(239,373) = 4.246365817239943211 C4(239,373) = 2984 Sum = 4133.184501987572581 Averaged sum = 0.4129467980804848218 logp*logq = 32.42930838508355168 -------------- ************************************* p = 239; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132380387184044.3101 -------------- Searches starting with [239,379]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(239,379) = 0.7292330696389555252 D2(239,379) = 0.1080736108698029118 C1(239,379) = 0.9967861446815510552 C2(239,379) = 1.353738304449768472 C3(239,379) = 5.446616141724276073 C4(239,379) = 3032 Sum = 4226.538041587770190 Averaged sum = 0.4222737577767779189 logp*logq = 32.51670061540764716 -------------- ************************************* p = 239; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140214824596874.6359 -------------- Searches starting with [239,383]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(239,383) = 0.5908322151852965434 D2(239,383) = 0.1048987959315819502 C1(239,383) = 0.8333317389988090084 C2(239,383) = 1.766938079522869782 C3(239,383) = 4.124921207531902545 C4(239,383) = 3064 Sum = 4235.217120576965270 Averaged sum = 0.4231408852609616615 logp*logq = 32.57419682386114516 -------------- ************************************* p = 239; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152673827359786.1813 -------------- Searches starting with [239,389]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(239,389) = 0.7575392309623386935 D2(239,389) = 0.04504337304738094138 C1(239,389) = 1.088532114808167650 C2(239,389) = 2.012391057289733443 C3(239,389) = 6.366213309944093619 C4(239,389) = 3112 Sum = 3690.219336702450614 Averaged sum = 0.3686901125689330217 logp*logq = 32.65932491437806335 -------------- ************************************* p = 239; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 170679550090785.2421 -------------- Searches starting with [239,397]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(239,397) = 0.6650536774174772310 D2(239,397) = 0.08736850417565864673 C1(239,397) = 0.9424016837024115543 C2(239,397) = 1.789564314594068126 C3(239,397) = 4.965509686294207417 C4(239,397) = 3176 Sum = 4412.995957798453697 Averaged sum = 0.4409027832748979615 logp*logq = 32.77080893826400401 -------------- ************************************* p = 239; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180312268424234.1511 -------------- Searches starting with [239,401]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(239,401) = 0.8085667194615491129 D2(239,401) = 0.08207698104535065315 C1(239,401) = 1.087205338880835022 C2(239,401) = 1.786104767398118743 C3(239,401) = 6.351866502934087694 C4(239,401) = 3208 Sum = 4353.136176715927988 Averaged sum = 0.4349221877026604045 logp*logq = 32.82571128832780126 -------------- ************************************* p = 239; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200912752736574.3632 -------------- Searches starting with [239,409]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(239,409) = 0.7048751491441586501 D2(239,409) = 0.02674421574200376446 C1(239,409) = 1.002640853811891703 C2(239,409) = 2.054460250494128370 C3(239,409) = 5.501111817801388903 C4(239,409) = 3272 Sum = 3677.565343448698198 Averaged sum = 0.3674258510788988109 logp*logq = 32.93389186376652098 -------------- ************************************* p = 239; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 229329287705873.3040 -------------- Searches starting with [239,419]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(239,419) = 0.8252853352978350453 D2(239,419) = 0.06116141252949389395 C1(239,419) = 1.198406059561112806 C2(239,419) = 1.812323886895545491 C3(239,419) = 7.674023355140284660 C4(239,419) = 3352 Sum = 3640.653303582106044 Averaged sum = 0.3637379661886408276 logp*logq = 33.06618002422076821 -------------- ************************************* p = 239; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 235388503488681.1045 -------------- Searches starting with [239,421]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(239,421) = 0.8812969502196474841 D2(239,421) = 0.05877292586680027120 C1(239,421) = 1.313711803980726386 C2(239,421) = 1.810823017914757154 C3(239,421) = 9.336335123027081079 C4(239,421) = 3368 Sum = 3501.919157781856098 Averaged sum = 0.3498770264543766708 logp*logq = 33.09225847136618389 -------------- ************************************* p = 239; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267681741093545.0767 -------------- Searches starting with [239,431]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(239,431) = 0.7999408389833566818 D2(239,431) = 0.04084876852406041577 C1(239,431) = 1.118009573156768925 C2(239,431) = 1.560410522000125806 C3(239,431) = 6.693454186234333527 C4(239,431) = 3448 Sum = 4451.980583939720548 Averaged sum = 0.4447977404275872263 logp*logq = 33.22081985753004296 -------------- ************************************* p = 239; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 274555323874749.7920 -------------- Searches starting with [239,433]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(239,433) = 0.7042479838407556534 D2(239,433) = 0.03732037445016788514 C1(239,433) = 0.9455507271535838146 C2(239,433) = 1.495421423509543866 C3(239,433) = 4.992170419994423943 C4(239,433) = 3464 Sum = 4366.206227440923258 Averaged sum = 0.4362280175283168406 logp*logq = 33.24617390074114463 -------------- ************************************* p = 239; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 296046978099409.8062 -------------- Searches starting with [239,439]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(239,439) = 1.370181661321297969 D2(239,439) = 0.02067365286594412216 C1(239,439) = 2.382094324269882664 C2(239,439) = 0.9680892876905697249 C3(239,439) = 57.43506788676848409 C4(239,439) = 3512 Sum = 941.4554701063448853 Averaged sum = 0.09406089220764760568 logp*logq = 33.32153926745484483 -------------- ************************************* p = 239; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 311124026238627.7990 -------------- Searches starting with [239,443]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(239,443) = 0.9662383408238007427 D2(239,443) = 0.03502269066133801214 C1(239,443) = 1.342269655288714550 C2(239,443) = 1.842742880859138614 C3(239,443) = 9.800910222996882572 C4(239,443) = 3544 Sum = 5229.033281499402992 Averaged sum = 0.5224331383254473965 logp*logq = 33.37121274680386219 -------------- ************************************* p = 239; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334911775225121.2675 -------------- Searches starting with [239,449]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(239,449) = 0.6589567733107804408 D2(239,449) = 0.02860470232459887710 C1(239,449) = 0.9917467708539763584 C2(239,449) = 1.838890577669039930 C3(239,449) = 5.400142126991828886 C4(239,449) = 3592 Sum = 4019.798385991031347 Averaged sum = 0.4016183820552534066 logp*logq = 33.44488825553197729 -------------- ************************************* p = 239; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 368921631757553.2248 -------------- Searches starting with [239,457]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(239,457) = 0.6089023823920345724 D2(239,457) = 0.01857221345884619747 C1(239,457) = 0.8419671815285378478 C2(239,457) = 1.675321834025627749 C3(239,457) = 4.185939366818589008 C4(239,457) = 3656 Sum = 4029.544616469725050 Averaged sum = 0.4025921287311145019 logp*logq = 33.54160535735240524 -------------- ************************************* p = 239; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 386955506459253.4227 -------------- Searches starting with [239,461]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(239,461) = 1.015029263668648847 D2(239,461) = 0.01489915951283263513 C1(239,461) = 1.533015650588749323 C2(239,461) = 1.673264228836448189 C3(239,461) = 13.55602518542833786 C4(239,461) = 3688 Sum = 4350.908111821303346 Averaged sum = 0.4346995815587274799 logp*logq = 33.58933083195920213 -------------- ************************************* p = 239; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 396238929835935.7683 -------------- Searches starting with [239,463]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(239,463) = 0.6819288352100507698 D2(239,463) = 0.01234295623506026010 C1(239,463) = 0.9597162873468761159 C2(239,463) = 1.577107907582972846 C3(239,463) = 5.113881634896192445 C4(239,463) = 3704 Sum = 4337.357069336506770 Averaged sum = 0.4333456958074239954 logp*logq = 33.61303850340722474 -------------- ************************************* p = 239; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 415352285918387.0177 -------------- Searches starting with [239,467]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(239,467) = 0.6612722953218811251 D2(239,467) = 0.008312920316552801583 C1(239,467) = 0.8839453362339510377 C2(239,467) = 1.459569106428370953 C3(239,467) = 4.495663625731116506 C4(239,467) = 3736 Sum = 4199.822146101724541 Averaged sum = 0.4196045704967254013 logp*logq = 33.66014815779397462 -------------- ************************************* p = 239; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 477265175178345.2636 -------------- Searches starting with [239,479]-exponents: u = 9, v = 7 n_start has 41 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(239,479) = 0.7438941115913153696 D2(239,479) = 0.02877852515024549237 C1(239,479) = 1.040648940300478953 C2(239,479) = 1.391362283464283251 C3(239,479) = 5.868396538049847428 C4(239,479) = 3832 Sum = 3866.276964334206100 Averaged sum = 0.3862800443934664902 logp*logq = 33.79909337515480719 -------------- ************************************* p = 239; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 522581944885424.8576 -------------- Searches starting with [239,487]-exponents: u = 9, v = 7 n_start has 41 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(239,487) = 0.6633531352167872251 D2(239,487) = 0.08635827995701451316 C1(239,487) = 0.9019649451376610436 C2(239,487) = 1.678537282983744304 C3(239,487) = 4.635550256192040834 C4(239,487) = 3896 Sum = 4342.606523435146283 Averaged sum = 0.4338701691912425101 logp*logq = 33.88980291978721480 -------------- ************************************* p = 239; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 546524589720408.6858 -------------- Searches starting with [239,491]-exponents: u = 9, v = 7 n_start has 41 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(239,491) = 0.6881336619081012910 D2(239,491) = 0.1236716190704239787 C1(239,491) = 0.9992508284446757279 C2(239,491) = 1.822387644970110181 C3(239,491) = 5.469491330268779260 C4(239,491) = 3928 Sum = 3983.159402887031838 Averaged sum = 0.3979577782882437644 logp*logq = 33.93460041744673177 -------------- ************************************* p = 239; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 597103060986792.2807 -------------- Searches starting with [239,499]-exponents: u = 17, v = 7 n_start has 60 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(239,499) = 0.5729946849330477578 D2(239,499) = 0.1391331893245700427 C1(239,499) = 0.7716299019353017059 C2(239,499) = 1.856800223856936468 C3(239,499) = 3.714059339233455786 C4(239,499) = 3992 Sum = 4350.459421134442905 Averaged sum = 0.4346547528358919877 logp*logq = 34.02311084589071677 -------------- ************************************* p = 239; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 623790279994440.3555 -------------- Searches starting with [239,503]-exponents: u = 17, v = 7 n_start has 60 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(239,503) = 0.5707545473748769407 D2(239,503) = 0.1022112450424597369 C1(239,503) = 0.8723114218399328191 C2(239,503) = 1.821395588082041847 C3(239,503) = 4.407599863020823156 C4(239,503) = 4024 Sum = 4300.989818737361178 Averaged sum = 0.4297122408569648494 logp*logq = 34.06683533805465790 -------------- ************************************* p = 239; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 665642863697994.3925 -------------- Searches starting with [239,509]-exponents: u = 33, v = 7 n_start has 98 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(239,509) = 0.7746051398241084020 D2(239,509) = 0.05392416217798437911 C1(239,509) = 1.151319529403329654 C2(239,509) = 1.775361644590900170 C3(239,509) = 7.083529462157640357 C4(239,509) = 4072 Sum = 3102.338644745043175 Averaged sum = 0.3099549050599503622 logp*logq = 34.13177440194677436 -------------- ************************************* p = 239; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 756245438603203.8372 -------------- Searches starting with [239,521]-exponents: u = 289, v = 7 n_start has 707 digits --- performed 5000 steps in the continued fraction search [239,521]-exponents: u = 95, v = 159 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,521) = 0.6771257407589615880 D2(239,521) = 0.2905958595602575442 C1(239,521) = 0.8803269819393029149 C2(239,521) = 1.436790262777809953 C3(239,521) = 4.468087337338605122 C4(239,521) = 4168 Sum = 5199.866506891444656 Averaged sum = 0.5200386545545999256 logp*logq = 34.25938709365633995 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,521) = 0.6771257407589615880 D2(239,521) = 0.2905958595602575442 C1(239,521) = 0.8803269819393029149 C2(239,521) = 1.436790262777809953 C3(239,521) = 4.468087337338605122 C4(239,521) = 4168 Sum = 5199.866506891444656 Averaged sum = 0.5200386545545999256 logp*logq = 34.25938709365633995 -------------- ************************************* p = 239; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 772281115019803.6402 -------------- Searches starting with [239,523]-exponents: u = 8, v = 1021 n_start has 2795 digits --- performed 5000 steps in the continued fraction search [239,523]-exponents: u = 210, v = 840 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,523) = 0.9294529483913914620 D2(239,523) = 0.5899975016303707366 C1(239,523) = 1.153249928117609814 C2(239,523) = 1.541109364597148292 C3(239,523) = 7.106819812748451810 C4(239,523) = 4184 Sum = 5972.722193350598205 Averaged sum = 0.5973319525303128517 logp*logq = 34.28036973829763347 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,523) = 0.9294529483913914620 D2(239,523) = 0.5899975016303707366 C1(239,523) = 1.153249928117609814 C2(239,523) = 1.541109364597148292 C3(239,523) = 7.106819812748451810 C4(239,523) = 4184 Sum = 5972.722193350598205 Averaged sum = 0.5973319525303128517 logp*logq = 34.28036973829763347 -------------- ************************************* p = 239; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 929512431714161.6546 -------------- Searches starting with [239,541]-exponents: u = 8, v = 20 n_start has 74 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(239,541) = 0.5856774664742590491 D2(239,541) = 0.04994897188810579127 C1(239,541) = 0.8149548625028404119 C2(239,541) = 1.704503848321182387 C3(239,541) = 3.998014181273445432 C4(239,541) = 4328 Sum = 4296.351570462076540 Averaged sum = 0.4292488330964208752 logp*logq = 34.46568129762584857 -------------- ************************************* p = 239; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 987387894282556.4909 -------------- Searches starting with [239,547]-exponents: u = 8, v = 13 n_start has 55 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(239,547) = 0.6924495872976400854 D2(239,547) = 0.08681380853115953277 C1(239,547) = 0.9486958998545519770 C2(239,547) = 1.857024029193807437 C3(239,547) = 5.018941265019609583 C4(239,547) = 4376 Sum = 4300.006506268105102 Averaged sum = 0.4296139980285847839 logp*logq = 34.52608408148224191 -------------- ************************************* p = 239; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1090375024521385.853 -------------- Searches starting with [239,557]-exponents: u = 15, v = 6 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(239,557) = 0.6912267623811807355 D2(239,557) = 0.1069239329879309786 C1(239,557) = 1.125267147807521172 C2(239,557) = 1.372103416898996506 C3(239,557) = 6.776571352818797892 C4(239,557) = 4456 Sum = 4296.416209885985608 Averaged sum = 0.4292552912264947156 logp*logq = 34.62529809117087780 -------------- ************************************* p = 239; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1156269243562033.033 -------------- Searches starting with [239,563]-exponents: u = 15, v = 6 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(239,563) = 0.7317639319834445935 D2(239,563) = 0.08102192737515597240 C1(239,563) = 0.9740508380877707570 C2(239,563) = 1.876599299605563671 C3(239,563) = 5.240065797731663312 C4(239,563) = 4504 Sum = 3960.818966678299726 Averaged sum = 0.3957257434986811595 logp*logq = 34.68397504769736585 -------------- ************************************* p = 239; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1225383161997460.932 -------------- Searches starting with [239,569]-exponents: u = 22, v = 6 n_start has 69 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(239,569) = 0.6560059629554543488 D2(239,569) = 0.04395737347427408907 C1(239,569) = 0.8902512583920320887 C2(239,569) = 1.841609667032507151 C3(239,569) = 4.544129858570067605 C4(239,569) = 4552 Sum = 4113.402995080783233 Averaged sum = 0.4109704261245662137 logp*logq = 34.74202997530430012 -------------- ************************************* p = 239; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1249157422077201.866 -------------- Searches starting with [239,571]-exponents: u = 22, v = 6 n_start has 69 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(239,571) = 0.7501895159006156372 D2(239,571) = 0.03244531412059376962 C1(239,571) = 1.074640270542321222 C2(239,571) = 1.830784313579818653 C3(239,571) = 6.217589656794105513 C4(239,571) = 4568 Sum = 4014.023472344433949 Averaged sum = 0.4010414099654744679 logp*logq = 34.76124565660449796 -------------- ************************************* p = 239; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1322752835646293.589 -------------- Searches starting with [239,577]-exponents: u = 29, v = 6 n_start has 86 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(239,577) = 0.7372426118170592806 D2(239,577) = 0.08420521760083442220 C1(239,577) = 1.008882591604949200 C2(239,577) = 1.775370133207641979 C3(239,577) = 5.559810601327323553 C4(239,577) = 4616 Sum = 4370.593176959516797 Averaged sum = 0.4366663180097429110 logp*logq = 34.81849144146123319 -------------- ************************************* p = 239; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1453267796517359.787 -------------- Searches starting with [239,587]-exponents: u = 71, v = 6 n_start has 186 digits starting right neighbors generation We generated 2349 left neighbors We generated 7661 right neighbors We generated 10009 non-negative rho_i D1(239,587) = 0.6845348771185732457 D2(239,587) = 0.01960463383250710072 C1(239,587) = 0.9171560528132027595 C2(239,587) = 1.638761711807981488 C3(239,587) = 4.756855181762963963 C4(239,587) = 4696 Sum = 4403.404590142256378 Averaged sum = 0.4399445089561650892 logp*logq = 34.91259106844731591 -------------- ************************************* p = 239; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1536501383786633.593 -------------- Searches starting with [239,593]-exponents: u = 260, v = 6 n_start has 636 digits --- performed 5000 steps in the continued fraction search [239,593]-exponents: u = 155, v = 76 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,593) = 0.5533685999117585314 D2(239,593) = 0.2230729378099255180 C1(239,593) = 0.7225890275173613130 C2(239,593) = 1.414123182292913195 C3(239,593) = 3.416899006374981975 C4(239,593) = 4744 Sum = 5111.960103348324502 Averaged sum = 0.5112471350483372839 logp*logq = 34.96828439810827107 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,593) = 0.5533685999117585314 D2(239,593) = 0.2230729378099255180 C1(239,593) = 0.7225890275173613130 C2(239,593) = 1.414123182292913195 C3(239,593) = 3.416899006374981975 C4(239,593) = 4744 Sum = 5111.960103348324502 Averaged sum = 0.5112471350483372839 logp*logq = 34.96828439810827107 -------------- ************************************* p = 239; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1623591470039154.903 -------------- Searches starting with [239,599]-exponents: u = 7, v = 149 n_start has 431 digits --- performed 5000 steps in the continued fraction search [239,599]-exponents: u = 70, v = 63 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,599) = 0.6609874053085825322 D2(239,599) = 0.09086755828569425007 C1(239,599) = 0.8788538025410065418 C2(239,599) = 1.431154724401013967 C3(239,599) = 4.456908420142065167 C4(239,599) = 4792 Sum = 4835.065187857016086 Averaged sum = 0.4835548742731289215 logp*logq = 35.02341704714652305 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,599) = 0.6609874053085825322 D2(239,599) = 0.09086755828569425007 C1(239,599) = 0.8788538025410065418 C2(239,599) = 1.431154724401013967 C3(239,599) = 4.456908420142065167 C4(239,599) = 4792 Sum = 4835.065187857016086 Averaged sum = 0.4835548742731289215 logp*logq = 35.02341704714652305 -------------- ************************************* p = 239; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1653502139969780.847 -------------- Searches starting with [239,601]-exponents: u = 7, v = 95 n_start has 281 digits starting right neighbors generation We generated 5388 left neighbors We generated 4622 right neighbors We generated 10009 non-negative rho_i D1(239,601) = 0.6015367639330597013 D2(239,601) = 0.01959127988738422327 C1(239,601) = 0.8187338886506556524 C2(239,601) = 1.554604396367847948 C3(239,601) = 4.023788469873913633 C4(239,601) = 4808 Sum = 4409.013190595129630 Averaged sum = 0.4405048646812997932 logp*logq = 35.04167194255565487 -------------- ************************************* p = 239; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1745948482259077.971 -------------- Searches starting with [239,607]-exponents: u = 7, v = 47 n_start has 148 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(239,607) = 0.9408653610447353135 D2(239,607) = 0.04479247792110846357 C1(239,607) = 1.340110837474245915 C2(239,607) = 1.690330847990765826 C3(239,607) = 9.764997212595506060 C4(239,607) = 4856 Sum = 3737.263525653210371 Averaged sum = 0.3733903012941562964 logp*logq = 35.09607434574104984 -------------- ************************************* p = 239; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1842577192524049.581 -------------- Searches starting with [239,613]-exponents: u = 7, v = 29 n_start has 98 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(239,613) = 0.5654101038825198452 D2(239,613) = 0.04352131514949435632 C1(239,613) = 0.7703546457630192633 C2(239,613) = 1.774461119808728905 C3(239,613) = 3.706014047888133273 C4(239,613) = 4904 Sum = 4273.522513649020775 Averaged sum = 0.4269679801827376136 logp*logq = 35.14994163464988719 -------------- ************************************* p = 239; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1909391567839293.286 -------------- Searches starting with [239,617]-exponents: u = 7, v = 23 n_start has 81 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(239,617) = 0.6072595178394389866 D2(239,617) = 0.07770347738140123459 C1(239,617) = 0.8584519124098341637 C2(239,617) = 1.809697375704989578 C3(239,617) = 4.304938092092369691 C4(239,617) = 4936 Sum = 3947.862946406720293 Averaged sum = 0.3944313064648536610 logp*logq = 35.18556103535163807 -------------- ************************************* p = 239; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1943533754253117.887 -------------- Searches starting with [239,619]-exponents: u = 7, v = 23 n_start has 81 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(239,619) = 0.8012289118014012712 D2(239,619) = 0.09605268014724758226 C1(239,619) = 1.214631639841417527 C2(239,619) = 1.828571020056367847 C3(239,619) = 7.888704910755090779 C4(239,619) = 4952 Sum = 3012.108095793228607 Averaged sum = 0.3009399636120719958 logp*logq = 35.20328423383595511 -------------- ************************************* p = 239; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2159030264896976.203 -------------- Searches starting with [239,631]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(239,631) = 0.5831125437768338351 D2(239,631) = 0.03215346799452225896 C1(239,631) = 0.8018742716633513448 C2(239,631) = 1.894650718377843090 C3(239,631) = 3.910068009110942092 C4(239,631) = 5048 Sum = 4293.451800736441397 Averaged sum = 0.4289591168684625234 logp*logq = 35.30843556436130428 -------------- ************************************* p = 239; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2353182955756249.137 -------------- Searches starting with [239,641]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(239,641) = 0.5899442447568858709 D2(239,641) = 0.07104728008492005426 C1(239,641) = 0.7957168789478383327 C2(239,641) = 1.936321375128104236 C3(239,641) = 3.869341626435169130 C4(239,641) = 5128 Sum = 4061.872115369022699 Averaged sum = 0.4058219717623161853 logp*logq = 35.39454525588575505 -------------- ************************************* p = 239; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2393674202972378.103 -------------- Searches starting with [239,643]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(239,643) = 0.9032940505246193397 D2(239,643) = 0.07924115583210950106 C1(239,643) = 1.238305615820417467 C2(239,643) = 1.945065312128193326 C3(239,643) = 8.212756505990326994 C4(239,643) = 5144 Sum = 4848.988535860990440 Averaged sum = 0.4844628370327695513 logp*logq = 35.41160590380155162 -------------- ************************************* p = 239; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2476366048143712.116 -------------- Searches starting with [239,647]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(239,647) = 1.483686625670580136 D2(239,647) = 0.05399706599595698799 C1(239,647) = 2.467311932931913234 C2(239,647) = 1.102841029978112395 C3(239,647) = 66.39117576263968868 C4(239,647) = 5176 Sum = 3215.811988953966755 Averaged sum = 0.3212920360629400295 logp*logq = 35.44556857731315330 -------------- ************************************* p = 239; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2604770346548572.045 -------------- Searches starting with [239,653]-exponents: u = 13, v = 5 n_start has 45 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(239,653) = 0.5661922567834039887 D2(239,653) = 0.06647381972693223436 C1(239,653) = 0.8033129617235137593 C2(239,653) = 1.961380642177458888 C3(239,653) = 3.919645443953195602 C4(239,653) = 5224 Sum = 4058.590787697875476 Averaged sum = 0.4054941340491433186 logp*logq = 35.49612090751524795 -------------- ************************************* p = 239; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2738566114253095.341 -------------- Searches starting with [239,659]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(239,659) = 1.144458647195590255 D2(239,659) = 0.03891276375023806610 C1(239,659) = 1.705986039058723280 C2(239,659) = 1.935676493343244145 C3(239,659) = 18.19160568340808873 C4(239,659) = 5272 Sum = 4658.777340517636931 Averaged sum = 0.4654588211127622071 logp*logq = 35.54621086236704991 -------------- ************************************* p = 239; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2784392799383825.867 -------------- Searches starting with [239,661]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(239,661) = 0.6714495850655604147 D2(239,661) = 0.03018399198522433521 C1(239,661) = 0.9298370138586523960 C2(239,661) = 1.927562877880368191 C3(239,661) = 4.860543365102511831 C4(239,661) = 5288 Sum = 4375.379752318565245 Averaged sum = 0.4371445451412294180 logp*logq = 35.56280621916305216 -------------- ************************************* p = 239; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3072708936768406.335 -------------- Searches starting with [239,673]-exponents: u = 19, v = 5 n_start has 60 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(239,673) = 0.6377324709734007442 D2(239,673) = 0.1257018172248082825 C1(239,673) = 0.9243126493353431072 C2(239,673) = 1.906149533880988011 C3(239,673) = 4.815097415612759795 C4(239,673) = 5384 Sum = 3751.890535015133828 Averaged sum = 0.3748516869832284771 logp*logq = 35.66133595725959184 -------------- ************************************* p = 239; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3174063964870681.046 -------------- Searches starting with [239,677]-exponents: u = 19, v = 5 n_start has 60 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(239,677) = 0.6477554802983815583 D2(239,677) = 0.08949211902508466874 C1(239,677) = 0.9899815509714992176 C2(239,677) = 1.871097714574812549 C3(239,677) = 5.383956904903905704 C4(239,677) = 5416 Sum = 4149.500249466394386 Averaged sum = 0.4145769057314811056 logp*logq = 35.69378916957512794 -------------- ************************************* p = 239; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3331207415121530.910 -------------- Searches starting with [239,683]-exponents: u = 25, v = 5 n_start has 74 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(239,683) = 0.6481948801290863456 D2(239,683) = 0.04177648028606177924 C1(239,683) = 0.8950066323517140704 C2(239,683) = 1.825105985240550460 C3(239,683) = 4.581024120061670179 C4(239,683) = 5464 Sum = 4373.392751795605871 Averaged sum = 0.4369460237581782267 logp*logq = 35.74211122030779487 -------------- ************************************* p = 239; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3550569621531212.039 -------------- Searches starting with [239,691]-exponents: u = 37, v = 5 n_start has 103 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(239,691) = 0.7364757101787545634 D2(239,691) = 0.05786392351509659933 C1(239,691) = 0.9994544837315349124 C2(239,691) = 1.760949292857709054 C3(239,691) = 5.471385784580261716 C4(239,691) = 5528 Sum = 4233.135135377373339 Averaged sum = 0.4229328739511812708 logp*logq = 35.80588444229555467 -------------- ************************************* p = 239; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3841236124337020.223 -------------- Searches starting with [239,701]-exponents: u = 67, v = 5 n_start has 174 digits starting right neighbors generation We generated 1918 left neighbors We generated 8092 right neighbors We generated 10009 non-negative rho_i D1(239,701) = 0.6847441098959071195 D2(239,701) = 0.0007895725306633716504 C1(239,701) = 0.9616679590513794100 C2(239,701) = 1.645072873164868728 C3(239,701) = 5.130881465687017502 C4(239,701) = 5608 Sum = 3727.126541511925452 Averaged sum = 0.3723775143882431264 logp*logq = 35.88457061708868910 -------------- ************************************* p = 239; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4087522972073512.001 -------------- Searches starting with [239,709]-exponents: u = 163, v = 5 n_start has 402 digits --- performed 5000 steps in the continued fraction search [239,709]-exponents: u = 37, v = 75 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,709) = 0.5685343600081447139 D2(239,709) = 0.0002658649695726564938 C1(239,709) = 0.7583296281186175125 C2(239,709) = 1.450425816930652570 C3(239,709) = 3.631002795312365905 C4(239,709) = 5672 Sum = 4777.315338698778817 Averaged sum = 0.4777793118010579875 logp*logq = 35.94671555119741112 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,709) = 0.5685343600081447139 D2(239,709) = 0.0002658649695726564938 C1(239,709) = 0.7583296281186175125 C2(239,709) = 1.450425816930652570 C3(239,709) = 3.631002795312365905 C4(239,709) = 5672 Sum = 4777.315338698778817 Averaged sum = 0.4777793118010579875 logp*logq = 35.94671555119741112 -------------- ************************************* p = 239; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4413383285781930.929 -------------- Searches starting with [239,719]-exponents: u = 6, v = 179 n_start has 526 digits --- performed 5000 steps in the continued fraction search [239,719]-exponents: u = 101, v = 75 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,719) = 0.8482420966537000622 D2(239,719) = 0.1344679118528069109 C1(239,719) = 1.116813900752705293 C2(239,719) = 1.413668586566311558 C3(239,719) = 6.679858930521093874 C4(239,719) = 5752 Sum = 4938.695808899337478 Averaged sum = 0.4939189727872124691 logp*logq = 36.02341797521803264 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,719) = 0.8482420966537000622 D2(239,719) = 0.1344679118528069109 C1(239,719) = 1.116813900752705293 C2(239,719) = 1.413668586566311558 C3(239,719) = 6.679858930521093874 C4(239,719) = 5752 Sum = 4938.695808899337478 Averaged sum = 0.4939189727872124691 logp*logq = 36.02341797521803264 -------------- ************************************* p = 239; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4689093619401622.974 -------------- Searches starting with [239,727]-exponents: u = 6, v = 59 n_start has 184 digits starting right neighbors generation We generated 2058 left neighbors We generated 7952 right neighbors We generated 10009 non-negative rho_i D1(239,727) = 0.9305887534934496857 D2(239,727) = 0.003730231729197059867 C1(239,727) = 1.294884200537614612 C2(239,727) = 1.622175835897247157 C3(239,727) = 9.042161157636297041 C4(239,727) = 5816 Sum = 5141.609717222600507 Averaged sum = 0.5136986429436108010 logp*logq = 36.08401570056879449 -------------- ************************************* p = 239; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4904982809162012.155 -------------- Searches starting with [239,733]-exponents: u = 6, v = 39 n_start has 127 digits starting right neighbors generation We generated 892 left neighbors We generated 9118 right neighbors We generated 10009 non-negative rho_i D1(239,733) = 0.6723889260771656623 D2(239,733) = 0.03228865620311804041 C1(239,733) = 0.9603703136399472525 C2(239,733) = 1.704710540671793301 C3(239,733) = 5.119572177882939876 C4(239,733) = 5864 Sum = 4358.343941512249165 Averaged sum = 0.4354424959049104970 logp*logq = 36.12902798316387043 -------------- ************************************* p = 239; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5128929273649736.357 -------------- Searches starting with [239,739]-exponents: u = 6, v = 29 n_start has 98 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(239,739) = 0.6436396500086039064 D2(239,739) = 0.02803210019447728780 C1(239,739) = 0.8598298026777916360 C2(239,739) = 1.770029438369124573 C3(239,739) = 4.315036588968920644 C4(239,739) = 5912 Sum = 4212.381508131856115 Averaged sum = 0.4208593773735494170 logp*logq = 36.17367331372181185 -------------- ************************************* p = 239; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5282817362988331.005 -------------- Searches starting with [239,743]-exponents: u = 6, v = 24 n_start has 84 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(239,743) = 0.6403420337425481541 D2(239,743) = 0.06216064374954784704 C1(239,743) = 0.9466062056803459035 C2(239,743) = 1.805008608818370353 C3(239,743) = 5.001138405663818862 C4(239,743) = 5944 Sum = 4033.459633594811183 Averaged sum = 0.4029832784089130965 logp*logq = 36.20323594179460803 -------------- ************************************* p = 239; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5601925172854675.832 -------------- Searches starting with [239,751]-exponents: u = 6, v = 19 n_start has 69 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(239,751) = 0.6357562781393418682 D2(239,751) = 0.01933650573903191623 C1(239,751) = 0.8568207403443536454 C2(239,751) = 1.858273187680513755 C3(239,751) = 4.293013848992511354 C4(239,751) = 6008 Sum = 4264.529227983253074 Averaged sum = 0.4260694602840696447 logp*logq = 36.26188671443959277 -------------- ************************************* p = 239; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5851451996953895.466 -------------- Searches starting with [239,757]-exponents: u = 6, v = 19 n_start has 69 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(239,757) = 1.485121763832986221 D2(239,757) = 0.05239820525585647943 C1(239,757) = 2.290543231475488194 C2(239,757) = 1.892662277252794819 C3(239,757) = 49.15487977703025130 C4(239,757) = 6056 Sum = 3420.989987032984644 Averaged sum = 0.3417913864554885248 logp*logq = 36.30546622996428627 -------------- ************************************* p = 239; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6022794593823056.624 -------------- Searches starting with [239,761]-exponents: u = 6, v = 14 n_start has 55 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(239,761) = 0.7033978014279201003 D2(239,761) = 0.07599102811560622087 C1(239,761) = 0.9920954193984936331 C2(239,761) = 1.917134090993491797 C3(239,761) = 5.403344619323635558 C4(239,761) = 6088 Sum = 4014.994956046049728 Averaged sum = 0.4011384709807223227 logp*logq = 36.33432776475849353 -------------- ************************************* p = 239; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6377792911413505.940 -------------- Searches starting with [239,769]-exponents: u = 6, v = 14 n_start has 55 digits **************************************************** Computing .... elapsed time = 29 minutes **************************************************** starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(239,769) = 0.6009985504726923948 D2(239,769) = 0.1280070545506574410 C1(239,769) = 0.8275570869239515493 C2(239,769) = 1.499408295690478273 C3(239,769) = 4.084614507704352189 C4(239,769) = 6152 Sum = 3926.865226951320698 Averaged sum = 0.3923334226147787689 logp*logq = 36.39159849376688484 -------------- ************************************* p = 239; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6561599666647351.260 -------------- Searches starting with [239,773]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(239,773) = 1.215988534169547937 D2(239,773) = 0.09531123220474214805 C1(239,773) = 1.945809790491491572 C2(239,773) = 1.212655501091109332 C3(239,773) = 27.35148575709058141 C4(239,773) = 6184 Sum = 3788.329048701041809 Averaged sum = 0.3784922618344531731 logp*logq = 36.42001081976278029 -------------- ************************************* p = 239; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7239358253917745.300 -------------- Searches starting with [239,787]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(239,787) = 0.9821191247885327364 D2(239,787) = 0.09015407313155766313 C1(239,787) = 1.288013053142941712 C2(239,787) = 1.739303998796151336 C3(239,787) = 8.937126381686764085 C4(239,787) = 6296 Sum = 3707.758433633912014 Averaged sum = 0.3704424451627447311 logp*logq = 36.51830895841800795 -------------- ************************************* p = 239; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7757660053573685.850 -------------- Searches starting with [239,797]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(239,797) = 0.6585353899840182998 D2(239,797) = 0.01587103130242798862 C1(239,797) = 0.9309422797785216833 C2(239,797) = 2.010320628527928215 C3(239,797) = 4.869687151908881215 C4(239,797) = 6376 Sum = 4300.229840221998753 Averaged sum = 0.4296363113419920824 logp*logq = 36.58745714414571284 -------------- ************************************* p = 239; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8419263258391797.034 -------------- Searches starting with [239,809]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(239,809) = 0.9389953438902010462 D2(239,809) = 0.02646626346880862383 C1(239,809) = 1.604880807325041873 C2(239,809) = 1.200519136530434720 C3(239,809) = 15.31809645175800836 C4(239,809) = 6472 Sum = 3922.315374566682267 Averaged sum = 0.3918788464948228861 logp*logq = 36.66929872033330999 -------------- ************************************* p = 239; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8533882912221903.648 -------------- Searches starting with [239,811]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(239,811) = 0.7606852294653473189 D2(239,811) = 0.02898441388956612903 C1(239,811) = 1.300122661020706236 C2(239,811) = 2.062927491552664166 C3(239,811) = 9.123066641598756105 C4(239,811) = 6488 Sum = 4281.628363421323988 Averaged sum = 0.4277778362894718742 logp*logq = 36.68282085943026255 -------------- ************************************* p = 239; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9126286067116100.802 -------------- Searches starting with [239,821]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(239,821) = 0.8528154237585003457 D2(239,821) = 0.06014356312195565908 C1(239,821) = 1.177538108109801254 C2(239,821) = 1.645208684746342413 C3(239,821) = 7.406484703702268067 C4(239,821) = 6568 Sum = 4647.219705037521508 Averaged sum = 0.4643040968166171953 logp*logq = 36.74993522331033058 -------------- ************************************* p = 239; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9248705204271528.336 -------------- Searches starting with [239,823]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(239,823) = 1.035271922983267997 D2(239,823) = 0.06437395518493963474 C1(239,823) = 1.519232218493103626 C2(239,823) = 1.649796348912378685 C3(239,823) = 13.24199134380909696 C4(239,823) = 6584 Sum = 3718.020385709246995 Averaged sum = 0.3714677176250621435 logp*logq = 36.76325995872060466 -------------- ************************************* p = 239; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9497571804232974.548 -------------- Searches starting with [239,827]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(239,827) = 1.166212738876865240 D2(239,827) = 0.07670259152568428748 C1(239,827) = 1.604777603567695501 C2(239,827) = 1.743703150442450742 C3(239,827) = 15.31540845643822681 C4(239,827) = 6616 Sum = 4833.624604938415455 Averaged sum = 0.4829278254509357033 logp*logq = 36.78981256129162330 -------------- ************************************* p = 239; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9624042027819729.335 -------------- Searches starting with [239,829]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(239,829) = 0.7843381909224367695 D2(239,829) = 0.08130737331790445527 C1(239,829) = 1.189027279214984842 C2(239,829) = 1.748683815350511881 C3(239,829) = 7.552606976598717085 C4(239,829) = 6632 Sum = 3088.235804392499141 Averaged sum = 0.3085458891390247918 logp*logq = 36.80304074055396516 -------------- ************************************* p = 239; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10277223777298868.35 -------------- Searches starting with [239,839]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(239,839) = 1.129244062745405624 D2(239,839) = 0.1131563717917575877 C1(239,839) = 1.494120945237206246 C2(239,839) = 1.908028147125610037 C3(239,839) = 12.68845136283957631 C4(239,839) = 6712 Sum = 3716.310363158287443 Averaged sum = 0.3712968691336084966 logp*logq = 36.86870655789074070 -------------- ************************************* p = 239; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11252150744612763.61 -------------- Searches starting with [239,853]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(239,853) = 1.014833762841299484 D2(239,853) = 0.09473557013006787830 C1(239,853) = 1.374050444719807610 C2(239,853) = 2.001960287121496887 C3(239,853) = 10.34514376680772141 C4(239,853) = 6824 Sum = 4474.000558625224668 Averaged sum = 0.4469977578804300797 logp*logq = 36.95933568258797567 -------------- ************************************* p = 239; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11544166177661236.19 -------------- Searches starting with [239,857]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(239,857) = 0.6846017741686262883 D2(239,857) = 0.07225034040745195451 C1(239,857) = 1.007007060101869362 C2(239,857) = 1.980429260197274923 C3(239,857) = 5.542107134912543528 C4(239,857) = 6856 Sum = 3507.940026502008341 Averaged sum = 0.3504785719354589210 logp*logq = 36.98495661143294551 -------------- ************************************* p = 239; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11692479666641132.40 -------------- Searches starting with [239,859]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(239,859) = 0.5868295291928527818 D2(239,859) = 0.06154029846082240317 C1(239,859) = 0.7813518649662367435 C2(239,859) = 1.970194632611056615 C3(239,859) = 3.775969779393251802 C4(239,859) = 6872 Sum = 4059.965197632812683 Averaged sum = 0.4056314514569699953 logp*logq = 36.99772226651840795 -------------- ************************************* p = 239; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11993780895653838.12 -------------- Searches starting with [239,863]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(239,863) = 0.5996412724429355971 D2(239,863) = 0.04105357631216453196 C1(239,863) = 0.8330038770482199235 C2(239,863) = 1.950655391369934057 C3(239,863) = 4.122622138957987375 C4(239,863) = 6904 Sum = 3920.747993456392218 Averaged sum = 0.3917222493212500967 logp*logq = 37.02316465166071624 -------------- ************************************* p = 239; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13098754616230646.69 -------------- Searches starting with [239,877]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(239,877) = 0.5915330155044218530 D2(239,877) = 0.1043281516221867391 C1(239,877) = 0.7869448908478008167 C2(239,877) = 1.924125502869838868 C3(239,877) = 3.812053267066481994 C4(239,877) = 7016 Sum = 3965.595205280504788 Averaged sum = 0.3962029378839549194 logp*logq = 37.11129355313528400 -------------- ************************************* p = 239; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13429295299933143.07 -------------- Searches starting with [239,881]-exponents: u = 26, v = 4 n_start has 74 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(239,881) = 0.8571855664463412664 D2(239,881) = 0.07343880484437395315 C1(239,881) = 1.304566228807264080 C2(239,881) = 1.894131929895663000 C3(239,881) = 9.192262608922672173 C4(239,881) = 7048 Sum = 2493.864995393707692 Averaged sum = 0.2491622535112106796 logp*logq = 37.13621493198670684 -------------- ************************************* p = 239; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13597103975594018.95 -------------- Searches starting with [239,883]-exponents: u = 26, v = 4 n_start has 74 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(239,883) = 0.9793721527943414075 D2(239,883) = 0.05902002495711106013 C1(239,883) = 1.334362640152324122 C2(239,883) = 1.880159500003601258 C3(239,883) = 9.670013464058191211 C4(239,883) = 7064 Sum = 4457.495455913907553 Averaged sum = 0.4453487317328312072 logp*logq = 37.14863322200608999 -------------- ************************************* p = 239; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13937865134509883.19 -------------- Searches starting with [239,887]-exponents: u = 26, v = 4 n_start has 74 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(239,887) = 0.7768748412101072933 D2(239,887) = 0.03188438570738905382 C1(239,887) = 1.071926185753786018 C2(239,887) = 1.853913510178844289 C3(239,887) = 6.188960405954738852 C4(239,887) = 7096 Sum = 4328.904308398433314 Averaged sum = 0.4325011797780430926 logp*logq = 37.17338564177960189 -------------- ************************************* p = 239; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15748112496632335.18 -------------- Searches starting with [239,907]-exponents: u = 46, v = 4 n_start has 122 digits starting right neighbors generation We generated 731 left neighbors We generated 9279 right neighbors We generated 10009 non-negative rho_i D1(239,907) = 0.5804441054274096606 D2(239,907) = 0.02709617795358554781 C1(239,907) = 0.7962024846864144204 C2(239,907) = 1.730452104475201671 C3(239,907) = 3.872538066128246296 C4(239,907) = 7256 Sum = 4143.802948321802844 Averaged sum = 0.4140076879130585317 logp*logq = 37.29549691151710170 -------------- ************************************* p = 239; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16132234367335717.66 -------------- Searches starting with [239,911]-exponents: u = 51, v = 4 n_start has 134 digits starting right neighbors generation We generated 820 left neighbors We generated 9190 right neighbors We generated 10009 non-negative rho_i D1(239,911) = 0.6250280380626050779 D2(239,911) = 0.03938647448625799434 C1(239,911) = 0.8890692159345715280 C2(239,911) = 1.699594237230203328 C3(239,911) = 4.535005260975428371 C4(239,911) = 7288 Sum = 4275.876966509467413 Averaged sum = 0.4272032137585640337 logp*logq = 37.31959579991791892 -------------- ************************************* p = 239; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16923469029887863.89 -------------- Searches starting with [239,919]-exponents: u = 76, v = 4 n_start has 193 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(239,919) = 0.7761952982103621612 D2(239,919) = 0.02205414304948165160 C1(239,919) = 1.080967863960674005 C2(239,919) = 1.615550538994783500 C3(239,919) = 6.284850992659830515 C4(239,919) = 7352 Sum = 3824.246222603196680 Averaged sum = 0.3820807495856925447 logp*logq = 37.36747775348101020 -------------- ************************************* p = 239; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17956838604648823.96 -------------- Searches starting with [239,929]-exponents: u = 146, v = 4 n_start has 360 digits --- performed 5000 steps in the continued fraction search [239,929]-exponents: u = 18, v = 65 --- starting right neighbors generation We generated 6711 left neighbors We generated 3299 right neighbors We generated 10009 non-negative rho_i D1(239,929) = 0.5898424969253869719 D2(239,929) = 0.007843327234476831543 C1(239,929) = 0.7897531849850632114 C2(239,929) = 1.462352021422509761 C3(239,929) = 3.830300845385037046 C4(239,929) = 7432 Sum = 4641.185969971857593 Averaged sum = 0.4637012658579136370 logp*logq = 37.42674741805061080 -------------- ************************************* p = 239; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18820170576254761.79 -------------- Searches starting with [239,937]-exponents: u = 586, v = 4 n_start has 1406 digits --- performed 5000 steps in the continued fraction search [239,937]-exponents: u = 23, v = 446 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,937) = 0.5599776217072649979 D2(239,937) = 0.3518404880152701990 C1(239,937) = 0.7093847327705388227 C2(239,937) = 1.459814162861230429 C3(239,937) = 3.341033022343065201 C4(239,937) = 7496 Sum = 5510.769470570745870 Averaged sum = 0.5511320602631008970 logp*logq = 37.47370559258979727 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,937) = 0.5599776217072649979 D2(239,937) = 0.3518404880152701990 C1(239,937) = 0.7093847327705388227 C2(239,937) = 1.459814162861230429 C3(239,937) = 3.341033022343065201 C4(239,937) = 7496 Sum = 5510.769470570745870 Averaged sum = 0.5511320602631008970 logp*logq = 37.47370559258979727 -------------- ************************************* p = 239; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19264386864490725.20 -------------- Searches starting with [239,941]-exponents: u = 5, v = 1003 n_start has 2995 digits --- performed 5000 steps in the continued fraction search [239,941]-exponents: u = 1174, v = 64 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,941) = 0.7499633640970036991 D2(239,941) = 0.4978462151937942939 C1(239,941) = 0.9287222160285151190 C2(239,941) = 1.508446356337769697 C3(239,941) = 4.851338113366585720 C4(239,941) = 7528 Sum = 5896.259886669862152 Averaged sum = 0.5896849571627024854 logp*logq = 37.49703454608683740 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,941) = 0.7499633640970036991 D2(239,941) = 0.4978462151937942939 C1(239,941) = 0.9287222160285151190 C2(239,941) = 1.508446356337769697 C3(239,941) = 4.851338113366585720 C4(239,941) = 7528 Sum = 5896.259886669862152 Averaged sum = 0.5896849571627024854 logp*logq = 37.49703454608683740 -------------- ************************************* p = 239; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19946751528145991.88 -------------- Searches starting with [239,947]-exponents: u = 5, v = 175 n_start has 533 digits --- performed 5000 steps in the continued fraction search [239,947]-exponents: u = 97, v = 77 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,947) = 0.5640046522147075198 D2(239,947) = 0.09598088334572437036 C1(239,947) = 0.7419703289388005282 C2(239,947) = 1.412316956073364842 C3(239,947) = 3.531386378645830251 C4(239,947) = 7576 Sum = 4907.939831436670013 Averaged sum = 0.4908430674504120424 logp*logq = 37.53184269431883118 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(239,947) = 0.5640046522147075198 D2(239,947) = 0.09598088334572437036 C1(239,947) = 0.7419703289388005282 C2(239,947) = 1.412316956073364842 C3(239,947) = 3.531386378645830251 C4(239,947) = 7576 Sum = 4907.939831436670013 Averaged sum = 0.4908430674504120424 logp*logq = 37.53184269431883118 -------------- ************************************* p = 239; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20648746290463141.64 -------------- Searches starting with [239,953]-exponents: u = 5, v = 95 n_start has 295 digits starting right neighbors generation We generated 4413 left neighbors We generated 5597 right neighbors We generated 10009 non-negative rho_i D1(239,953) = 0.5953693759929961490 D2(239,953) = 0.01361888276419121914 C1(239,953) = 0.8053989210769687702 C2(239,953) = 1.510424080806438411 C3(239,953) = 3.933573464573631565 C4(239,953) = 7624 Sum = 4545.059309259805361 Averaged sum = 0.4540972434069143132 logp*logq = 37.56643100014841903 -------------- ************************************* p = 239; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22365534022120603.70 -------------- Searches starting with [239,967]-exponents: u = 5, v = 47 n_start has 153 digits starting right neighbors generation We generated 1119 left neighbors We generated 8891 right neighbors We generated 10009 non-negative rho_i D1(239,967) = 0.6432801103638161185 D2(239,967) = 0.03754449687143749495 C1(239,967) = 0.9115527552617632184 C2(239,967) = 1.686488523175849085 C3(239,967) = 4.711746249555820796 C4(239,967) = 7736 Sum = 3399.116337846141113 Averaged sum = 0.3396059883950585585 logp*logq = 37.64629750909239482 -------------- ************************************* p = 239; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22876903183343106.37 -------------- Searches starting with [239,971]-exponents: u = 5, v = 39 n_start has 129 digits starting right neighbors generation We generated 780 left neighbors We generated 9230 right neighbors We generated 10009 non-negative rho_i D1(239,971) = 0.6310655360584807249 D2(239,971) = 0.03034509144155751473 C1(239,971) = 0.8432990607604922258 C2(239,971) = 1.719845372682126919 C3(239,971) = 4.195430454303864963 C4(239,971) = 7768 Sum = 4155.988198971549415 Averaged sum = 0.4152251172915925082 logp*logq = 37.66890420188323260 -------------- ************************************* p = 239; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23661844847097886.53 -------------- Searches starting with [239,977]-exponents: u = 5, v = 35 n_start has 117 digits starting right neighbors generation We generated 691 left neighbors We generated 9319 right neighbors We generated 10009 non-negative rho_i D1(239,977) = 0.8947825206856614774 D2(239,977) = 0.02537370466182582517 C1(239,977) = 1.296864319333947714 C2(239,977) = 1.764120260637218179 C3(239,977) = 9.072658441396098344 C4(239,977) = 7816 Sum = 3153.102333338341755 Averaged sum = 0.3150267092954682541 logp*logq = 37.70264022367129213 -------------- ************************************* p = 239; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24468664579523892.35 -------------- Searches starting with [239,983]-exponents: u = 5, v = 27 n_start has 93 digits starting right neighbors generation We generated 331 left neighbors We generated 9679 right neighbors We generated 10009 non-negative rho_i D1(239,983) = 0.6722129807055107933 D2(239,983) = 0.07731763875179847117 C1(239,983) = 0.9842238315432916917 C2(239,983) = 1.816989704055677464 C3(239,983) = 5.331501037112879147 C4(239,983) = 7864 Sum = 3970.906532176617287 Averaged sum = 0.3967335929839761502 logp*logq = 37.73616969709281328 -------------- ************************************* p = 239; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25579271271402967.23 -------------- Searches starting with [239,991]-exponents: u = 5, v = 23 n_start has 81 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(239,991) = 0.6582485237158188144 D2(239,991) = 0.05192741377993468833 C1(239,991) = 0.9029267868436467074 C2(239,991) = 1.853260566048265336 C3(239,991) = 4.643138240318227395 C4(239,991) = 7928 Sum = 4199.287607885111545 Averaged sum = 0.4195511647402449340 logp*logq = 37.78055870243834361 -------------- ************************************* p = 239; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26438982528340542.08 -------------- Searches starting with [239,997]-exponents: u = 5, v = 23 n_start has 81 digits starting right neighbors generation We generated 282 left neighbors We generated 9728 right neighbors We generated 10009 non-negative rho_i D1(239,997) = 0.9476772715579729449 D2(239,997) = 0.09635815242067188127 C1(239,997) = 1.426254619416466071 C2(239,997) = 1.898633537597354166 C3(239,997) = 11.30548827679817470 C4(239,997) = 7976 Sum = 2689.298860001780370 Averaged sum = 0.2686880667401119363 logp*logq = 37.81361592686704227 -------------- ************************************* p = 241; q = 251; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14511859631843.89866 -------------- Searches starting with [241,251]-exponents: u = 1, v = 134 n_start has 324 digits starting right neighbors generation We generated 2294 left neighbors We generated 7716 right neighbors We generated 10009 non-negative rho_i D1(241,251) = 0.8436499172308195338 D2(241,251) = 0.001782576212411780401 C1(241,251) = 1.135930848688664624 C2(241,251) = 1.175368375500558672 C3(241,251) = 6.912502070484087763 C4(241,251) = 2008 Sum = 5172.558031600024377 Averaged sum = 0.5167906915376185810 logp*logq = 30.30598733669693503 -------------- ************************************* p = 241; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16519382330700.86723 -------------- Searches starting with [241,257]-exponents: u = 1, v = 85 n_start has 208 digits starting right neighbors generation We generated 977 left neighbors We generated 9033 right neighbors We generated 10009 non-negative rho_i D1(241,257) = 0.6252793496776122408 D2(241,257) = 0.009858344457472692186 C1(241,257) = 0.8641973309403580768 C2(241,257) = 1.274717638893745793 C3(241,257) = 4.352918913095835152 C4(241,257) = 2056 Sum = 4157.466399990587437 Averaged sum = 0.4153728044750312156 logp*logq = 30.43555549413963108 -------------- ************************************* p = 241; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18748471567572.47796 -------------- Searches starting with [241,263]-exponents: u = 1, v = 62 n_start has 153 digits starting right neighbors generation We generated 539 left neighbors We generated 9471 right neighbors We generated 10009 non-negative rho_i D1(241,263) = 0.6773493531103149751 D2(241,263) = 0.004568001075652434343 C1(241,263) = 0.9545476000713482491 C2(241,263) = 1.341064425673317752 C3(241,263) = 5.076494640625307177 C4(241,263) = 2104 Sum = 4818.225399204824704 Averaged sum = 0.4813892895598785797 logp*logq = 30.56213334862619153 -------------- ************************************* p = 241; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21217678011650.65998 -------------- Searches starting with [241,269]-exponents: u = 1, v = 49 n_start has 122 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(241,269) = 0.8007375581927141140 D2(241,269) = 0.01657330359222785890 C1(241,269) = 1.147355006004581177 C2(241,269) = 1.410350464442626753 C3(241,269) = 7.048221774591701647 C4(241,269) = 2152 Sum = 5021.960261813412054 Averaged sum = 0.5017444561707874967 logp*logq = 30.68585581860543898 -------------- ************************************* p = 241; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22097467603536.47057 -------------- Searches starting with [241,271]-exponents: u = 1, v = 46 n_start has 115 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(241,271) = 0.6305881927075182702 D2(241,271) = 0.006887573255693331526 C1(241,271) = 0.9078273579954760208 C2(241,271) = 1.419791799813258965 C3(241,271) = 4.688459534848944773 C4(241,271) = 2168 Sum = 4517.379017937602209 Averaged sum = 0.4513317032608254780 logp*logq = 30.72648412981126744 -------------- ************************************* p = 241; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24917561995964.63917 -------------- Searches starting with [241,277]-exponents: u = 1, v = 39 n_start has 98 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(241,277) = 0.5793294049085651136 D2(241,277) = 0.03204937723942154672 C1(241,277) = 0.8037049903186006067 C2(241,277) = 1.490376523686911052 C3(241,277) = 3.927055374233135463 C4(241,277) = 2216 Sum = 4468.286764266471528 Averaged sum = 0.4464268922236458715 logp*logq = 30.84659397183407501 -------------- ************************************* p = 241; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26956091038165.32898 -------------- Searches starting with [241,281]-exponents: u = 1, v = 35 n_start has 89 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(241,281) = 0.5869320005459422156 D2(241,281) = 0.05032099694310323227 C1(241,281) = 0.8635781586870979980 C2(241,281) = 1.535847206882817693 C3(241,281) = 4.348334141339540117 C4(241,281) = 2248 Sum = 4465.822288302101717 Averaged sum = 0.4461806662306026293 logp*logq = 30.92523040029444481 -------------- ************************************* p = 241; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28025329225374.36964 -------------- Searches starting with [241,283]-exponents: u = 1, v = 34 n_start has 86 digits starting right neighbors generation We generated 200 left neighbors We generated 9810 right neighbors We generated 10009 non-negative rho_i D1(241,283) = 0.8796504136342174376 D2(241,283) = 0.01100851082485402139 C1(241,283) = 1.151595429766838719 C2(241,283) = 1.516234169512150196 C3(241,283) = 7.099273615871945735 C4(241,283) = 2264 Sum = 3339.859690674218458 Averaged sum = 0.3336856519806392704 logp*logq = 30.96412983237796137 -------------- ************************************* p = 241; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33905328729896.84352 -------------- Searches starting with [241,293]-exponents: u = 1, v = 28 n_start has 72 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(241,293) = 0.8367983461431652162 D2(241,293) = 0.03934190228720475087 C1(241,293) = 1.259764473820532417 C2(241,293) = 1.605087938198722249 C3(241,293) = 8.534305895536844444 C4(241,293) = 2344 Sum = 2413.164234174467933 Averaged sum = 0.2410994339269125720 logp*logq = 31.15459330763442397 -------------- ************************************* p = 241; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43797461041165.94063 -------------- Searches starting with [241,307]-exponents: u = 1, v = 22 n_start has 58 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(241,307) = 0.8857093431355221132 D2(241,307) = 0.02136668098533640780 C1(241,307) = 1.239350642529322504 C2(241,307) = 1.667951373802336169 C3(241,307) = 8.242882448215465754 C4(241,307) = 2456 Sum = 4956.156020710589928 Averaged sum = 0.4951699491168538243 logp*logq = 31.41059696453412355 -------------- ************************************* p = 241; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47020207102471.77031 -------------- Searches starting with [241,311]-exponents: u = 1, v = 21 n_start has 55 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(241,311) = 0.9700607517642835263 D2(241,311) = 0.02334814617652206050 C1(241,311) = 1.403782535108902105 C2(241,311) = 1.689900629850559431 C3(241,311) = 10.90487458191884243 C4(241,311) = 2488 Sum = 4696.631298994020059 Averaged sum = 0.4692408131675512097 logp*logq = 31.48159856359205979 -------------- ************************************* p = 241; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48702799973602.82315 -------------- Searches starting with [241,313]-exponents: u = 1, v = 20 n_start has 53 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(241,313) = 1.116314068858481158 D2(241,313) = 0.08255561731275937135 C1(241,313) = 1.730975409399349645 C2(241,313) = 1.750077653425063724 C3(241,313) = 19.03131251939864044 C4(241,313) = 2504 Sum = 4905.628670606810153 Averaged sum = 0.4901217574789499603 logp*logq = 31.51675763868885028 -------------- ************************************* p = 241; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52215828333631.04537 -------------- Searches starting with [241,317]-exponents: u = 1, v = 20 n_start has 53 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(241,317) = 1.245787979111366478 D2(241,317) = 0.06638813403834810154 C1(241,317) = 1.942226479017795335 C2(241,317) = 1.755279126765458584 C3(241,317) = 27.26573431258176835 C4(241,317) = 2536 Sum = 1988.906577519068820 Averaged sum = 0.1987118171165020302 logp*logq = 31.58640678963600215 -------------- ************************************* p = 241; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66182756758570.86262 -------------- Searches starting with [241,331]-exponents: u = 1, v = 17 n_start has 46 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(241,331) = 0.9256598317924008362 D2(241,331) = 0.1515391200180407580 C1(241,331) = 1.250359905872374520 C2(241,331) = 1.891086081390001245 C3(241,331) = 8.398789944390357710 C4(241,331) = 2648 Sum = 4481.401995470226944 Averaged sum = 0.4477372360345915620 logp*logq = 31.82344107301789568 -------------- ************************************* p = 241; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73035957847642.94950 -------------- Searches starting with [241,337]-exponents: u = 1, v = 16 n_start has 43 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(241,337) = 0.6476404054941790438 D2(241,337) = 0.1230511283437043833 C1(241,337) = 0.9266148158442158753 C2(241,337) = 1.890533753093208338 C3(241,337) = 4.840799775537943176 C4(241,337) = 2696 Sum = 4236.496777040681122 Averaged sum = 0.4232687358418104827 logp*logq = 31.92197300905793896 -------------- ************************************* p = 241; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85741546673099.09582 -------------- Searches starting with [241,347]-exponents: u = 1, v = 15 n_start has 41 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(241,347) = 0.9103435046711054500 D2(241,347) = 0.1086083222280443750 C1(241,347) = 1.469205333929997228 C2(241,347) = 1.157030783480256543 C3(241,347) = 12.18929610754516824 C4(241,347) = 2776 Sum = 3387.071138221302856 Averaged sum = 0.3384025515257571042 logp*logq = 32.08235861604343363 -------------- ************************************* p = 241; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88487332691024.00559 -------------- Searches starting with [241,349]-exponents: u = 1, v = 14 n_start has 38 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(241,349) = 0.6148797124390464489 D2(241,349) = 0.01023524241394835391 C1(241,349) = 0.8543896269625319239 C2(241,349) = 1.841731456692729082 C3(241,349) = 4.280860829955564101 C4(241,349) = 2792 Sum = 4078.486293399925085 Averaged sum = 0.4074818956339219787 logp*logq = 32.11388052426310740 -------------- ************************************* p = 241; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94194791974598.23939 -------------- Searches starting with [241,353]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(241,353) = 0.6564014195626674571 D2(241,353) = 0.08654996710898492996 C1(241,353) = 0.8885583886429467778 C2(241,353) = 1.919853856807718469 C3(241,353) = 4.537193591611692931 C4(241,353) = 2824 Sum = 4274.076570911597263 Averaged sum = 0.4270233360886799144 logp*logq = 32.17638600908862736 -------------- ************************************* p = 241; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103317573141017.7249 -------------- Searches starting with [241,359]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(241,359) = 0.6726549747155224786 D2(241,359) = 0.1430209189176047876 C1(241,359) = 0.9534281081123546485 C2(241,359) = 1.737786616166982977 C3(241,359) = 5.066831335240803535 C4(241,359) = 2872 Sum = 3905.886591010848763 Averaged sum = 0.3902374454002246741 logp*logq = 32.26882859511742799 -------------- ************************************* p = 241; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116593023508056.9568 -------------- Searches starting with [241,367]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(241,367) = 0.9305871262199622303 D2(241,367) = 0.08581847351360132610 C1(241,367) = 1.530792798996883915 C2(241,367) = 1.142453416685331272 C3(241,367) = 13.53635239660085312 C4(241,367) = 2936 Sum = 3566.483016369318731 Averaged sum = 0.3563276067908201349 logp*logq = 32.38971055536241434 -------------- ************************************* p = 241; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 127438518640505.7101 -------------- Searches starting with [241,373]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(241,373) = 0.7651352308660705350 D2(241,373) = 0.006240396335571498262 C1(241,373) = 1.036209750147163941 C2(241,373) = 1.921964853847444853 C3(241,373) = 5.833448553011780094 C4(241,373) = 2984 Sum = 4385.644751639658008 Averaged sum = 0.4381701220541170954 logp*logq = 32.47865515748683847 -------------- ************************************* p = 241; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139095292277429.3931 -------------- Searches starting with [241,379]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(241,379) = 0.6872312859177384925 D2(241,379) = 0.08637684469413407908 C1(241,379) = 1.143375285595262188 C2(241,379) = 1.328399313477147894 C3(241,379) = 7.000642633519152601 C4(241,379) = 3032 Sum = 4426.208740082003351 Averaged sum = 0.4422228734221204268 logp*logq = 32.56618037012583285 -------------- ************************************* p = 241; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147340016468179.8501 -------------- Searches starting with [241,383]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(241,383) = 0.6550423317037145600 D2(241,383) = 0.1095018341627204207 C1(241,383) = 0.9117021863136110880 C2(241,383) = 1.771266414517038026 C3(241,383) = 4.719481546360093755 C4(241,383) = 3064 Sum = 4007.210277006265487 Averaged sum = 0.4003607030678654698 logp*logq = 32.62376406895312839 -------------- ************************************* p = 241; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160452922306032.4675 -------------- Searches starting with [241,389]-exponents: u = 1, v = 11 n_start has 31 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(241,389) = 0.7675869820920739246 D2(241,389) = 0.09280802268495168786 C1(241,389) = 1.033120517828153130 C2(241,389) = 1.623735729058960210 C3(241,389) = 5.802857868637595929 C4(241,389) = 3112 Sum = 4237.231184719851568 Averaged sum = 0.4233421105724699338 logp*logq = 32.70902169650666735 -------------- ************************************* p = 241; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179406511793400.4578 -------------- Searches starting with [241,397]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(241,397) = 1.231975961642009305 D2(241,397) = 0.05697077619207101916 C1(241,397) = 2.075789766360867164 C2(241,397) = 1.078709254085499761 C3(241,397) = 34.22487824569173021 C4(241,397) = 3176 Sum = 3891.548709871302013 Averaged sum = 0.3888049465352484777 logp*logq = 32.82067536251657734 -------------- ************************************* p = 241; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189547592362838.3659 -------------- Searches starting with [241,401]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(241,401) = 0.5846900173345004998 D2(241,401) = 0.08644322279977912672 C1(241,401) = 0.7825128172080797031 C2(241,401) = 1.790182441841908597 C3(241,401) = 3.787935774168830267 C4(241,401) = 3208 Sum = 4225.404232409810757 Averaged sum = 0.4221604788100520289 logp*logq = 32.87566125595234024 -------------- ************************************* p = 241; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 211237972735762.6093 -------------- Searches starting with [241,409]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(241,409) = 0.6137629827904903974 D2(241,409) = 0.06988039290495107178 C1(241,409) = 0.8453402162311562483 C2(241,409) = 1.637234381701699595 C3(241,409) = 4.215432522043835094 C4(241,409) = 3272 Sum = 4259.270217727806753 Averaged sum = 0.4255440321438512092 logp*logq = 32.98400644674983482 -------------- ************************************* p = 241; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 241163418913763.6526 -------------- Searches starting with [241,419]-exponents: u = 1, v = 9 n_start has 26 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(241,419) = 0.9642794407109891566 D2(241,419) = 0.06243165923397422894 C1(241,419) = 1.300919192111308761 C2(241,419) = 1.284384851550796505 C3(241,419) = 9.153520311651063502 C4(241,419) = 3352 Sum = 4390.746818814706366 Averaged sum = 0.4386798699984720118 logp*logq = 33.11649590640134116 -------------- ************************************* p = 241; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247545132881915.3274 -------------- Searches starting with [241,421]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(241,421) = 0.9602609411994669230 D2(241,421) = 0.06294319947092126252 C1(241,421) = 1.351778277542653017 C2(241,421) = 1.814688000838735167 C3(241,421) = 9.981163719022768300 C4(241,421) = 3368 Sum = 5240.265746620194374 Averaged sum = 0.5235553748246772279 logp*logq = 33.14261403639107268 -------------- ************************************* p = 241; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 281561229337401.1724 -------------- Searches starting with [241,431]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(241,431) = 0.6002306255892371121 D2(241,431) = 0.04695341058353578798 C1(241,431) = 0.8383395412031656924 C2(241,431) = 1.655468924717933321 C3(241,431) = 4.165503646201404388 C4(241,431) = 3448 Sum = 4021.329359208811269 Averaged sum = 0.4017713417133391217 logp*logq = 33.27137105082388976 -------------- ************************************* p = 241; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 288802354199433.2843 -------------- Searches starting with [241,433]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(241,433) = 0.6130031207439743705 D2(241,433) = 0.04488355076864312806 C1(241,433) = 0.8332893072851178768 C2(241,433) = 1.654238905259154432 C3(241,433) = 4.129852922213729181 C4(241,433) = 3464 Sum = 4207.007353466035311 Averaged sum = 0.4203224451459721561 logp*logq = 33.29676367457408232 -------------- ************************************* p = 241; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 311444953003512.3012 -------------- Searches starting with [241,439]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(241,439) = 0.7320102441993965869 D2(241,439) = 0.003082483969801576168 C1(241,439) = 1.024285609718033306 C2(241,439) = 2.104382384883311536 C3(241,439) = 5.716253993649054830 C4(241,439) = 3512 Sum = 4659.554427410336517 Averaged sum = 0.4655364599270992623 logp*logq = 33.37224372266038995 -------------- ************************************* p = 241; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 327330928469997.7938 -------------- Searches starting with [241,443]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(241,443) = 1.283534762464511645 D2(241,443) = 0.02048239427038088765 C1(241,443) = 2.232316913878459728 C2(241,443) = 0.9687833316754914947 C3(241,443) = 44.67253571829219861 C4(241,443) = 3544 Sum = 893.5453214207178811 Averaged sum = 0.08927418537523407744 logp*logq = 33.42199278875491567 -------------- ************************************* p = 241; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 352397320873462.9320 -------------- Searches starting with [241,449]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(241,449) = 0.5880390313691648887 D2(241,449) = 0.03255771965826260654 C1(241,449) = 0.8017944055238112118 C2(241,449) = 1.842517576243556238 C3(241,449) = 3.914306204892984668 C4(241,449) = 3592 Sum = 4204.500600528913171 Averaged sum = 0.4200719952571598732 logp*logq = 33.49578040744596093 -------------- ************************************* p = 241; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 388239945627834.9133 -------------- Searches starting with [241,457]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(241,457) = 1.328392235779967644 D2(241,457) = 0.02420646611672507178 C1(241,457) = 1.866100431962447799 C2(241,457) = 1.837533213672017682 C3(241,457) = 23.95233336146190094 C4(241,457) = 3656 Sum = 6032.205356011554214 Averaged sum = 0.6026781252883958651 logp*logq = 33.59264468097768057 -------------- ************************************* p = 241; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 407247725390850.0584 -------------- Searches starting with [241,461]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(241,461) = 0.6849537758546602241 D2(241,461) = 0.01840530166197686998 C1(241,461) = 0.9359626512219659488 C2(241,461) = 1.676415679949411639 C3(241,461) = 4.918431994856370805 C4(241,461) = 3688 Sum = 4154.199779858379898 Averaged sum = 0.4150464361932640521 logp*logq = 33.64044277810560231 -------------- ************************************* p = 241; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 417033022339605.0674 -------------- Searches starting with [241,463]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(241,463) = 1.259177414602550923 D2(241,463) = 0.01657760248021135035 C1(241,463) = 1.815804607306588654 C2(241,463) = 1.675390294572466079 C3(241,463) = 21.98726130939875365 C4(241,463) = 3704 Sum = 4993.860046431773745 Averaged sum = 0.4989369613779372309 logp*logq = 33.66418652485480821 -------------- ************************************* p = 241; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 437180760324818.8814 -------------- Searches starting with [241,467]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(241,467) = 0.6276781108040597232 D2(241,467) = 0.01223368259314814139 C1(241,467) = 0.8835991120359239292 C2(241,467) = 1.578191356715779980 C3(241,467) = 4.499058170111859709 C4(241,467) = 3736 Sum = 4058.144411295318845 Averaged sum = 0.4054495365466399086 logp*logq = 33.71136786468626186 -------------- ************************************* p = 241; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 502453649145970.8619 -------------- Searches starting with [241,479]-exponents: u = 9, v = 7 n_start has 41 digits starting right neighbors generation We generated 115 left neighbors We generated 9895 right neighbors We generated 10009 non-negative rho_i D1(241,479) = 1.168858969864032601 D2(241,479) = 0.002851205969088539669 C1(241,479) = 2.074262401496873952 C2(241,479) = 1.880962155156872136 C3(241,479) = 34.13602468907533375 C4(241,479) = 3832 Sum = 3390.796725818862050 Averaged sum = 0.3387747752841304875 logp*logq = 33.85052451110183135 -------------- ************************************* p = 241; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 550238031960728.5898 -------------- Searches starting with [241,487]-exponents: u = 9, v = 7 n_start has 41 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(241,487) = 0.8171518231328501770 D2(241,487) = 0.05253075664757732363 C1(241,487) = 1.184674662209637021 C2(241,487) = 1.573442984761569764 C3(241,487) = 7.510429582721697312 C4(241,487) = 3896 Sum = 4563.706982326135607 Averaged sum = 0.4559603339320746935 logp*logq = 33.94137208591362570 -------------- ************************************* p = 241; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 575486997635445.4318 -------------- Searches starting with [241,491]-exponents: u = 9, v = 7 n_start has 41 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(241,491) = 0.6182917819844328979 D2(241,491) = 0.08172225494499600531 C1(241,491) = 0.8288740672965557816 C2(241,491) = 1.675056308219612811 C3(241,491) = 4.098934835817420784 C4(241,491) = 3928 Sum = 4077.552855598956880 Averaged sum = 0.4073886357876867699 logp*logq = 33.98623775067356279 -------------- ************************************* p = 241; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 628830501262069.3498 -------------- Searches starting with [241,499]-exponents: u = 9, v = 7 n_start has 41 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(241,499) = 0.6442485938945678210 D2(241,499) = 0.1395233522935440176 C1(241,499) = 1.031341258195089397 C2(241,499) = 1.407976744944542725 C3(241,499) = 5.785311860908689437 C4(241,499) = 3992 Sum = 4105.843352427726664 Averaged sum = 0.4102151416153188794 logp*logq = 34.07488286296328012 -------------- ************************************* p = 241; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 656979472389859.5822 -------------- Searches starting with [241,503]-exponents: u = 17, v = 7 n_start has 60 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(241,503) = 0.9756584362247365164 D2(241,503) = 0.1459822697371831175 C1(241,503) = 1.342015802887601479 C2(241,503) = 1.864786901798335366 C3(241,503) = 9.816691501913373227 C4(241,503) = 4024 Sum = 4995.451325424253271 Averaged sum = 0.4990959461908535589 logp*logq = 34.11867388946516155 -------------- ************************************* p = 241; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 701128130922165.7793 -------------- Searches starting with [241,509]-exponents: u = 17, v = 7 n_start has 60 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(241,509) = 1.036792464015818273 D2(241,509) = 0.09149907778250181290 C1(241,509) = 1.585003847110275891 C2(241,509) = 1.812556612574218610 C3(241,509) = 14.84473059312958775 C4(241,509) = 4072 Sum = 4223.697759736031784 Averaged sum = 0.4219899849871147751 logp*logq = 34.18371176931622213 -------------- ************************************* p = 241; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 796715403051176.7119 -------------- Searches starting with [241,521]-exponents: u = 65, v = 7 n_start has 174 digits starting right neighbors generation We generated 2292 left neighbors We generated 7718 right neighbors We generated 10009 non-negative rho_i D1(241,521) = 0.6337630110701750535 D2(241,521) = 0.004294687582076709340 C1(241,521) = 0.8851733676322021900 C2(241,521) = 1.729778224943014936 C3(241,521) = 4.511128892683466161 C4(241,521) = 4168 Sum = 4470.429459392889860 Averaged sum = 0.4466409690671285703 logp*logq = 34.31151864569290382 -------------- ************************************* p = 241; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 813635195775423.3845 -------------- Searches starting with [241,523]-exponents: u = 97, v = 7 n_start has 251 digits starting right neighbors generation We generated 4676 left neighbors We generated 5334 right neighbors We generated 10009 non-negative rho_i D1(241,523) = 0.5974450837672294886 D2(241,523) = 0.01631189742598349317 C1(241,523) = 0.8159359959717428542 C2(241,523) = 1.641523663457062459 C3(241,523) = 4.009661421708973184 C4(241,523) = 4184 Sum = 4510.497058968138180 Averaged sum = 0.4506441261832488939 logp*logq = 34.33253321903823376 -------------- ************************************* p = 241; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 979562110570417.3954 -------------- Searches starting with [241,541]-exponents: u = 8, v = 27 n_start has 93 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(241,541) = 0.5499706143854517136 D2(241,541) = 0.02336899865650809579 C1(241,541) = 0.7702981247432418080 C2(241,541) = 1.601177497978330786 C3(241,541) = 3.710000669049190155 C4(241,541) = 4328 Sum = 4335.698296176406743 Averaged sum = 0.4331799676467585916 logp*logq = 34.51812676178815124 -------------- ************************************* p = 241; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1040649527586743.694 -------------- Searches starting with [241,547]-exponents: u = 8, v = 20 n_start has 74 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(241,547) = 0.7783295816154970376 D2(241,547) = 0.05349542499361809866 C1(241,547) = 1.065984843634567960 C2(241,547) = 1.709696066254453102 C3(241,547) = 6.136686630249724393 C4(241,547) = 4376 Sum = 4252.400207698242175 Averaged sum = 0.4248576488858269732 logp*logq = 34.57862145887291479 -------------- ************************************* p = 241; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1149365492938768.342 -------------- Searches starting with [241,557]-exponents: u = 8, v = 13 n_start has 55 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(241,557) = 0.7028794003197882241 D2(241,557) = 0.1145194437074997970 C1(241,557) = 0.9736053294500439946 C2(241,557) = 1.887650323705464677 C3(241,557) = 5.243854752302962733 C4(241,557) = 4456 Sum = 4530.017832582852565 Averaged sum = 0.4525944482548558862 logp*logq = 34.67798643974777477 -------------- ************************************* p = 241; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1218933490675009.108 -------------- Searches starting with [241,563]-exponents: u = 15, v = 6 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(241,563) = 0.6284827490830835134 D2(241,563) = 0.1137711138980698021 C1(241,563) = 1.023477315063236694 C2(241,563) = 1.428052696314345853 C3(241,563) = 5.708395541743277118 C4(241,563) = 4504 Sum = 3984.328319870264832 Averaged sum = 0.3980745648786357110 logp*logq = 34.73675268335940959 -------------- ************************************* p = 241; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1291907174757958.000 -------------- Searches starting with [241,569]-exponents: u = 15, v = 6 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(241,569) = 1.030209121584397328 D2(241,569) = 0.07705689160755075306 C1(241,569) = 1.414359348567992873 C2(241,569) = 1.874296560503650474 C3(241,569) = 11.10295650148355154 C4(241,569) = 4552 Sum = 4814.604968667312257 Averaged sum = 0.4810275720518845296 logp*logq = 34.79489595152746500 -------------- ************************************* p = 241; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1317010608637252.179 -------------- Searches starting with [241,571]-exponents: u = 15, v = 6 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(241,571) = 0.6469525560310755221 D2(241,571) = 0.06451203931102682390 C1(241,571) = 0.8845300445188731017 C2(241,571) = 1.862438337486828230 C3(241,571) = 4.506192256482206056 C4(241,571) = 4568 Sum = 4347.116861912660442 Averaged sum = 0.4343207974735398583 logp*logq = 34.81414087279295705 -------------- ************************************* p = 241; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1394725151783134.437 -------------- Searches starting with [241,577]-exponents: u = 22, v = 6 n_start has 69 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(241,577) = 0.6889135609946799916 D2(241,577) = 0.02944276312752039918 C1(241,577) = 0.9871254505604887039 C2(241,577) = 1.829414389784208637 C3(241,577) = 5.365920005972922400 C4(241,577) = 4616 Sum = 4101.729710476419475 Averaged sum = 0.4098041473150583949 logp*logq = 34.87147376696090017 -------------- ************************************* p = 241; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1532560993152174.671 -------------- Searches starting with [241,587]-exponents: u = 43, v = 6 n_start has 120 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(241,587) = 0.6412793975832467689 D2(241,587) = 0.03775325590224686534 C1(241,587) = 0.9314646365989112516 C2(241,587) = 1.731759259976368153 C3(241,587) = 4.880922545607209457 C4(241,587) = 4696 Sum = 3749.068914712592448 Averaged sum = 0.3745697786704558345 logp*logq = 34.96571658271995876 -------------- ************************************* p = 241; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1620473295764392.984 -------------- Searches starting with [241,593]-exponents: u = 71, v = 6 n_start has 186 digits starting right neighbors generation We generated 2349 left neighbors We generated 7661 right neighbors We generated 10009 non-negative rho_i D1(241,593) = 0.8402002148718541905 D2(241,593) = 0.01563031192323468506 C1(241,593) = 1.168431635874733361 C2(241,593) = 1.636259164582389743 C3(241,593) = 7.305645156794621927 C4(241,593) = 4744 Sum = 4903.104983131122468 Averaged sum = 0.4898696156590191295 logp*logq = 35.02149465936443037 -------------- ************************************* p = 241; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1712466634230610.526 -------------- Searches starting with [241,599]-exponents: u = 288, v = 6 n_start has 703 digits --- performed 5000 steps in the continued fraction search [241,599]-exponents: u = 119, v = 133 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,599) = 0.6533793630352708077 D2(241,599) = 0.2611060828319501959 C1(241,599) = 0.8497499113583228205 C2(241,599) = 1.429340914652286457 C3(241,599) = 4.247189263449124584 C4(241,599) = 4792 Sum = 5167.997979752086426 Averaged sum = 0.5168514831235209947 logp*logq = 35.07671120221416222 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,599) = 0.6533793630352708077 D2(241,599) = 0.2611060828319501959 C1(241,599) = 0.8497499113583228205 C2(241,599) = 1.429340914652286457 C3(241,599) = 4.247189263449124584 C4(241,599) = 4792 Sum = 5167.997979752086426 Averaged sum = 0.5168514831235209947 logp*logq = 35.07671120221416222 -------------- ************************************* p = 241; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1744063055791375.295 -------------- Searches starting with [241,601]-exponents: u = 3179, v = 6 n_start has 7590 digits --- performed 5000 steps in the continued fraction search [241,601]-exponents: u = 32, v = 2702 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,601) = 0.6501323468733461035 D2(241,601) = 0.5715772187996254899 C1(241,601) = 0.7873244566452457238 C2(241,601) = 1.439532960805906480 C3(241,601) = 3.819083737420321451 C4(241,601) = 4808 Sum = 6356.103074707735563 Averaged sum = 0.6356738748582593822 logp*logq = 35.09499387558754488 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,601) = 0.6501323468733461035 D2(241,601) = 0.5715772187996254899 C1(241,601) = 0.7873244566452457238 C2(241,601) = 1.439532960805906480 C3(241,601) = 3.819083737420321451 C4(241,601) = 4808 Sum = 6356.103074707735563 Averaged sum = 0.6356738748582593822 logp*logq = 35.09499387558754488 -------------- ************************************* p = 241; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1841725062686409.631 -------------- Searches starting with [241,607]-exponents: u = 7, v = 95 n_start has 282 digits starting right neighbors generation We generated 5388 left neighbors We generated 4622 right neighbors We generated 10009 non-negative rho_i D1(241,607) = 0.9525258183072784208 D2(241,607) = 0.02140724079591404135 C1(241,607) = 1.296759987794618638 C2(241,607) = 1.557788550270533016 C3(241,607) = 9.088952417535826793 C4(241,607) = 4856 Sum = 4482.022033725406682 Averaged sum = 0.4477991841068445081 logp*logq = 35.14947906138971056 -------------- ************************************* p = 241; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1943813808121888.827 -------------- Searches starting with [241,613]-exponents: u = 7, v = 47 n_start has 148 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(241,613) = 1.277567469311126299 D2(241,613) = 0.04501877689392277679 C1(241,613) = 1.820171613621637753 C2(241,613) = 1.691975157913060048 C3(241,613) = 22.15129172577688353 C4(241,613) = 4904 Sum = 4021.708997221918559 Averaged sum = 0.4018092713779516993 logp*logq = 35.20342831864687659 -------------- ************************************* p = 241; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2014408342003693.709 -------------- Searches starting with [241,617]-exponents: u = 7, v = 35 n_start has 115 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(241,617) = 0.9363256001714100364 D2(241,617) = 0.02710918760724730560 C1(241,617) = 1.365459443790718487 C2(241,617) = 1.758973107196982184 C3(241,617) = 10.21630282929041043 C4(241,617) = 4936 Sum = 3399.886772746299694 Averaged sum = 0.3396829626082825151 logp*logq = 35.23910192039536885 -------------- ************************************* p = 241; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2050483651459269.329 -------------- Searches starting with [241,619]-exponents: u = 7, v = 29 n_start has 98 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(241,619) = 0.5510928030087671664 D2(241,619) = 0.04296579015468081927 C1(241,619) = 0.7510265353300524804 C2(241,619) = 1.775354171668687392 C3(241,619) = 3.590287187577885866 C4(241,619) = 4952 Sum = 4268.934959256263472 Averaged sum = 0.4265096372520994577 logp*logq = 35.25685208777558335 -------------- ************************************* p = 241; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2278203125118456.380 -------------- Searches starting with [241,631]-exponents: u = 7, v = 17 n_start has 65 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(241,631) = 0.7092889933995518819 D2(241,631) = 0.008600223293920467389 C1(241,631) = 0.9963957668411012956 C2(241,631) = 1.744854266268939704 C3(241,631) = 5.451254348500436079 C4(241,631) = 5048 Sum = 3981.642562547259795 Averaged sum = 0.3978062306471435503 logp*logq = 35.36216342414236834 -------------- ************************************* p = 241; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2483397920071355.273 -------------- Searches starting with [241,641]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(241,641) = 0.6934788327131738052 D2(241,641) = 0.04585643917146577209 C1(241,641) = 0.9195720708773295537 C2(241,641) = 1.910921720797471334 C3(241,641) = 4.783121363856068762 C4(241,641) = 5128 Sum = 3879.890483247427447 Averaged sum = 0.3876401721697899338 logp*logq = 35.44840414637826435 -------------- ************************************* p = 241; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2526195358710090.849 -------------- Searches starting with [241,643]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(241,643) = 0.6693807557566325799 D2(241,643) = 0.05352338052672192677 C1(241,643) = 0.9108300061395560011 C2(241,643) = 1.919138743092237937 C3(241,643) = 4.712480988130737853 C4(241,643) = 5144 Sum = 4158.347312733526469 Averaged sum = 0.4154608165384680256 logp*logq = 35.46549075500527179 -------------- ************************************* p = 241; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2613600345917130.073 -------------- Searches starting with [241,647]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(241,647) = 0.7337366305033200820 D2(241,647) = 0.06925060161413755892 C1(241,647) = 1.040001168739317128 C2(241,647) = 1.935960906994008612 C3(241,647) = 5.871213037875347785 C4(241,647) = 5176 Sum = 3739.950538783766418 Averaged sum = 0.3736587609934825076 logp*logq = 35.49950510856814323 -------------- ************************************* p = 241; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2749331985833977.259 -------------- Searches starting with [241,653]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(241,653) = 1.240601192753786753 D2(241,653) = 0.05471576176416511048 C1(241,653) = 2.063828507176619505 C2(241,653) = 1.111517180131801062 C3(241,653) = 33.53517838639091027 C4(241,653) = 5224 Sum = 3031.163865265405196 Averaged sum = 0.3028438270821665697 logp*logq = 35.55013436283853179 -------------- ************************************* p = 241; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2890773586411615.575 -------------- Searches starting with [241,659]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(241,659) = 0.6317631408564782655 D2(241,659) = 0.06825300681683902253 C1(241,659) = 0.8840101559445967042 C2(241,659) = 1.964559204369603263 C3(241,659) = 4.502206760882753637 C4(241,659) = 5272 Sum = 4347.363396901436515 Averaged sum = 0.4343454288042198536 logp*logq = 35.60030053817497721 -------------- ************************************* p = 241; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2939221507005387.642 -------------- Searches starting with [241,661]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(241,661) = 0.5969932572622108449 D2(241,661) = 0.05886648148085119317 C1(241,661) = 0.8162230393909407563 C2(241,661) = 1.955787760790644842 C3(241,661) = 4.011620789014620845 C4(241,661) = 5288 Sum = 4156.845649808658442 Averaged sum = 0.4153107852741191370 logp*logq = 35.61692114766169488 -------------- ************************************* p = 241; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3244056071544170.688 -------------- Searches starting with [241,673]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(241,673) = 0.8611007984367862067 D2(241,673) = 0.007250828353380008120 C1(241,673) = 1.121360304693864472 C2(241,673) = 1.907823373937459823 C3(241,673) = 6.743188544483883616 C4(241,673) = 5384 Sum = 3749.006379663002898 Averaged sum = 0.3745635307885905582 logp*logq = 35.71560081570749742 -------------- ************************************* p = 241; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3351228571139344.404 -------------- Searches starting with [241,677]-exponents: u = 19, v = 5 n_start has 60 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(241,677) = 0.8164187751348974921 D2(241,677) = 0.1520763840668118853 C1(241,677) = 1.083149205740068054 C2(241,677) = 1.933238051207995278 C3(241,677) = 6.318604406190004226 C4(241,677) = 5416 Sum = 3901.721075528894843 Averaged sum = 0.3898212684113192969 logp*logq = 35.74810341116937983 -------------- ************************************* p = 241; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3517401818445550.349 -------------- Searches starting with [241,683]-exponents: u = 19, v = 5 n_start has 60 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(241,683) = 0.6080365582980371225 D2(241,683) = 0.09544986622971992355 C1(241,683) = 0.8358153299140922620 C2(241,683) = 1.878335164958326443 C3(241,683) = 4.147646373559398942 C4(241,683) = 5464 Sum = 4104.560659544591582 Averaged sum = 0.4100869876655601540 logp*logq = 35.79649899221639235 -------------- ************************************* p = 241; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3749388879455096.510 -------------- Searches starting with [241,691]-exponents: u = 25, v = 5 n_start has 74 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(241,691) = 0.7888327737017828560 D2(241,691) = 0.03276912303878894554 C1(241,691) = 1.047371181353893809 C2(241,691) = 1.817928927669727680 C3(241,691) = 5.945323103745111330 C4(241,691) = 5528 Sum = 4109.485566237398806 Averaged sum = 0.4105790354917972631 logp*logq = 35.86036925613404732 -------------- ************************************* p = 241; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4056817383714468.292 -------------- Searches starting with [241,701]-exponents: u = 43, v = 5 n_start has 117 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(241,701) = 0.6428974172639109662 D2(241,701) = 0.02622212449553711807 C1(241,701) = 0.8659639971359321623 C2(241,701) = 1.731596834736271091 C3(241,701) = 4.366027100303826803 C4(241,701) = 5608 Sum = 4051.036808963704099 Averaged sum = 0.4047394154224901688 logp*logq = 35.93917516548065092 -------------- ************************************* p = 241; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4317334806326517.381 -------------- Searches starting with [241,709]-exponents: u = 73, v = 5 n_start has 189 digits starting right neighbors generation We generated 2139 left neighbors We generated 7871 right neighbors We generated 10009 non-negative rho_i D1(241,709) = 0.8833828859441090571 D2(241,709) = 0.02352219134014518473 C1(241,709) = 1.233811572536868420 C2(241,709) = 1.621073115382502392 C3(241,709) = 8.165538754821426761 C4(241,709) = 5672 Sum = 3934.928748684782165 Averaged sum = 0.3931390497237268623 logp*logq = 36.00141466379910154 -------------- ************************************* p = 241; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4662059992078090.241 -------------- Searches starting with [241,719]-exponents: u = 337, v = 5 n_start has 818 digits --- performed 5000 steps in the continued fraction search [241,719]-exponents: u = 254, v = 59 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,719) = 0.7976939470955150963 D2(241,719) = 0.2776005720281819808 C1(241,719) = 1.030965399903322499 C2(241,719) = 1.441041325527124081 C3(241,719) = 5.781612161173352443 C4(241,719) = 5752 Sum = 5229.764132945990095 Averaged sum = 0.5230287161662156310 logp*logq = 36.07823380375507328 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,719) = 0.7976939470955150963 D2(241,719) = 0.2776005720281819808 C1(241,719) = 1.030965399903322499 C2(241,719) = 1.441041325527124081 C3(241,719) = 5.781612161173352443 C4(241,719) = 5752 Sum = 5229.764132945990095 Averaged sum = 0.5230287161662156310 logp*logq = 36.07823380375507328 -------------- ************************************* p = 241; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4953762278073017.300 -------------- Searches starting with [241,727]-exponents: u = 6, v = 149 n_start has 441 digits --- performed 5000 steps in the continued fraction search [241,727]-exponents: u = 84, v = 53 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,727) = 0.5233232590870649250 D2(241,727) = 0.05618388791121635710 C1(241,727) = 0.7159552983608668734 C2(241,727) = 1.420602139768355373 C3(241,727) = 3.382251626714261617 C4(241,727) = 5816 Sum = 4835.333595735703591 Averaged sum = 0.4835817177453448935 logp*logq = 36.13892373897123011 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,727) = 0.5233232590870649250 D2(241,727) = 0.05618388791121635710 C1(241,727) = 0.7159552983608668734 C2(241,727) = 1.420602139768355373 C3(241,727) = 3.382251626714261617 C4(241,727) = 5816 Sum = 4835.333595735703591 Averaged sum = 0.4835817177453448935 logp*logq = 36.13892373897123011 -------------- ************************************* p = 241; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5182191936793886.750 -------------- Searches starting with [241,733]-exponents: u = 6, v = 69 n_start has 212 digits starting right neighbors generation We generated 2714 left neighbors We generated 7296 right neighbors We generated 10009 non-negative rho_i D1(241,733) = 0.7289513288422346042 D2(241,733) = 0.01578480196972457580 C1(241,733) = 0.9699735659569877309 C2(241,733) = 1.592833481553869916 C3(241,733) = 5.211541464685722193 C4(241,733) = 5864 Sum = 4006.902554159162391 Averaged sum = 0.4003299584533082617 logp*logq = 36.18400451549896092 -------------- ************************************* p = 241; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5419163060782278.073 -------------- Searches starting with [241,739]-exponents: u = 6, v = 44 n_start has 141 digits starting right neighbors generation We generated 1177 left neighbors We generated 8833 right neighbors We generated 10009 non-negative rho_i D1(241,739) = 0.8395603923496898051 D2(241,739) = 0.01713771848209850396 C1(241,739) = 1.142393419983752707 C2(241,739) = 1.690718490444485549 C3(241,739) = 6.988953519334039389 C4(241,739) = 5912 Sum = 4492.899300275822626 Averaged sum = 0.4488859326881629160 logp*logq = 36.22871778160889596 -------------- ************************************* p = 241; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5582010406431554.481 -------------- Searches starting with [241,743]-exponents: u = 6, v = 34 n_start has 112 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(241,743) = 0.6188386928420285317 D2(241,743) = 0.0005393978130092299490 C1(241,743) = 0.8923999251034155071 C2(241,743) = 1.743287884072487904 C3(241,743) = 4.566955945039003589 C4(241,743) = 5944 Sum = 4084.991281233578207 Averaged sum = 0.4081318094948124895 logp*logq = 36.25832539430676736 -------------- ************************************* p = 241; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5919719223349765.913 -------------- Searches starting with [241,751]-exponents: u = 6, v = 24 n_start has 84 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(241,751) = 0.6542629883972702499 D2(241,751) = 0.06608014920686633224 C1(241,751) = 0.8816168041311954521 C2(241,751) = 1.810516083040952625 C3(241,751) = 4.483904606524785838 C4(241,751) = 6008 Sum = 4251.875824699723692 Averaged sum = 0.4248052577380081618 logp*logq = 36.31706541419361805 -------------- ************************************* p = 241; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6183811621245203.074 -------------- Searches starting with [241,757]-exponents: u = 6, v = 19 n_start has 69 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(241,757) = 0.6931735404313116189 D2(241,757) = 0.01054853513692849010 C1(241,757) = 0.9322609696904196725 C2(241,757) = 1.850669967947537625 C3(241,757) = 4.887542355107533490 C4(241,757) = 6056 Sum = 4136.801218345887311 Averaged sum = 0.4133081445045346499 logp*logq = 36.36071124344935095 -------------- ************************************* p = 241; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6365165932076804.926 -------------- Searches starting with [241,761]-exponents: u = 6, v = 19 n_start has 70 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(241,761) = 0.7269156060237769396 D2(241,761) = 0.03164033898836023952 C1(241,761) = 1.013472175756246570 C2(241,761) = 1.872640798740078635 C3(241,761) = 5.612012813878852319 C4(241,761) = 6088 Sum = 4474.870672484321824 Averaged sum = 0.4470846910265083249 logp*logq = 36.38961669603458192 -------------- ************************************* p = 241; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6740931886105202.011 -------------- Searches starting with [241,769]-exponents: u = 6, v = 14 n_start has 55 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(241,769) = 1.023214295843612804 D2(241,769) = 0.07722778729523422737 C1(241,769) = 1.443545869586842338 C2(241,769) = 1.919972279732504192 C3(241,769) = 11.66842296619290742 C4(241,769) = 6152 Sum = 5092.960209202400955 Averaged sum = 0.5088380666602458741 logp*logq = 36.44697457231099968 -------------- ************************************* p = 241; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6935504080971115.859 -------------- Searches starting with [241,773]-exponents: u = 6, v = 14 n_start has 55 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(241,773) = 0.9264111691073064577 D2(241,773) = 0.1021555465012860972 C1(241,773) = 1.271074533494304865 C2(241,773) = 1.945765142725442005 C3(241,773) = 8.700178342789371903 C4(241,773) = 6184 Sum = 4604.037233791029989 Averaged sum = 0.4599897326197452282 logp*logq = 36.47543013254944260 -------------- ************************************* p = 241; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7653028515108666.065 -------------- Searches starting with [241,787]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(241,787) = 0.6510664570832060858 D2(241,787) = 0.1241625331969307506 C1(241,787) = 0.9195583527663432769 C2(241,787) = 1.891551673696974568 C3(241,787) = 4.783009689074098112 C4(241,787) = 6296 Sum = 4253.462294552398738 Averaged sum = 0.4249637620693774341 logp*logq = 36.57387784873553482 -------------- ************************************* p = 241; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8201809990114486.296 -------------- Searches starting with [241,797]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(241,797) = 0.6026771558712995712 D2(241,797) = 0.08372640372968484419 C1(241,797) = 0.8042938803290706714 C2(241,797) = 1.734752808933015679 C3(241,797) = 3.930993352756170539 C4(241,797) = 6376 Sum = 3972.880412713040977 Averaged sum = 0.3969308035481107980 logp*logq = 36.64313125532526632 -------------- ************************************* p = 241; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8902400617246558.876 -------------- Searches starting with [241,809]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(241,809) = 0.8296378654863111696 D2(241,809) = 0.02448835970222310723 C1(241,809) = 1.140431503315584430 C2(241,809) = 2.021434377425251557 C3(241,809) = 6.965655323276251303 C4(241,809) = 6472 Sum = 4028.204388322160753 Averaged sum = 0.4024582264284304879 logp*logq = 36.72509736755246379 -------------- ************************************* p = 241; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9023783365636422.852 -------------- Searches starting with [241,811]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(241,811) = 0.9153284435123875259 D2(241,811) = 0.02926362673559252143 C1(241,811) = 1.231502699745365063 C2(241,811) = 2.026660689876838466 C3(241,811) = 8.133513965134150607 C4(241,811) = 6488 Sum = 4223.845379623576519 Averaged sum = 0.4220047337020258286 logp*logq = 36.73864008291063350 -------------- ************************************* p = 241; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9651179906036998.229 -------------- Searches starting with [241,821]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(241,821) = 0.6708571457008627558 D2(241,821) = 0.02343755665343232285 C1(241,821) = 1.147018680088374582 C2(241,821) = 2.059464051705566365 C3(241,821) = 7.044188385942529131 C4(241,821) = 6568 Sum = 3916.004952550663506 Averaged sum = 0.3912483717205178845 logp*logq = 36.80585657284285331 -------------- ************************************* p = 241; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9780838232514394.259 -------------- Searches starting with [241,823]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(241,823) = 0.6894088498147725879 D2(241,823) = 0.01754075706161000747 C1(241,823) = 0.9556749895983703310 C2(241,823) = 2.054084910544881041 C3(241,823) = 5.086244741886065586 C4(241,823) = 6584 Sum = 4484.165442046754946 Averaged sum = 0.4480133322056903733 logp*logq = 36.81920158413067052 -------------- ************************************* p = 241; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10044429438884020.60 -------------- Searches starting with [241,827]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(241,827) = 1.005679073667604126 D2(241,827) = 0.006017209051569158488 C1(241,827) = 1.343775674900624187 C2(241,827) = 2.043592859848170664 C3(241,827) = 9.846139194772460900 C4(241,827) = 6616 Sum = 4136.554572960148172 Averaged sum = 0.4132835021440851405 logp*logq = 36.84579459105506692 -------------- ************************************* p = 241; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10178386529009706.40 -------------- Searches starting with [241,829]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(241,829) = 0.6670517054563003955 D2(241,829) = 0.0003837077542915587339 C1(241,829) = 0.8981505176760252838 C2(241,829) = 2.038473209837412110 C3(241,829) = 4.611873998820100144 C4(241,829) = 6632 Sum = 4240.097725555480721 Averaged sum = 0.4236285068993386673 logp*logq = 36.85904289926815967 -------------- ************************************* p = 241; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10870277649439175.46 -------------- Searches starting with [241,839]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(241,839) = 0.7898514390316483570 D2(241,839) = 0.09066169793475320831 C1(241,839) = 1.197733097878583675 C2(241,839) = 1.885308806056987748 C3(241,839) = 7.679219104077207149 C4(241,839) = 6712 Sum = 3407.399183025313377 Averaged sum = 0.3404335281272168426 logp*logq = 36.92480863844428852 -------------- ************************************* p = 241; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11903104828417556.16 -------------- Searches starting with [241,853]-exponents: u = 11, v = 4 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(241,853) = 0.8417325980450688616 D2(241,853) = 0.09348775137437480108 C1(241,853) = 1.358486786190351249 C2(241,853) = 1.287307127519193297 C3(241,853) = 10.09577921160644837 C4(241,853) = 6824 Sum = 3839.133000004760555 Averaged sum = 0.3835680887206274907 logp*logq = 37.01557567094814206 -------------- ************************************* p = 241; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12212489914494567.87 -------------- Searches starting with [241,857]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(241,857) = 0.7269226622690841199 D2(241,857) = 0.09856374902658109735 C1(241,857) = 1.173151082061537024 C2(241,857) = 1.380913681369204520 C3(241,857) = 7.364563356056666159 C4(241,857) = 6856 Sum = 4163.305025938401002 Averaged sum = 0.4159561420659807176 logp*logq = 37.04123558644461430 -------------- ************************************* p = 241; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12369629961383958.89 -------------- Searches starting with [241,859]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(241,859) = 0.7529114183203888287 D2(241,859) = 0.1108133036820215639 C1(241,859) = 1.030572689450748335 C2(241,859) = 2.018964820276089808 C3(241,859) = 5.777749107373139319 C4(241,859) = 6872 Sum = 4499.724199219523403 Averaged sum = 0.4495678088939477873 logp*logq = 37.05402066667071191 -------------- ************************************* p = 241; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12688871784064813.57 -------------- Searches starting with [241,863]-exponents: u = 16, v = 4 n_start has 50 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(241,863) = 0.9919525422821847599 D2(241,863) = 0.08749048241913741905 C1(241,863) = 1.417181592183788537 C2(241,863) = 1.996589313489869973 C3(241,863) = 11.15641676205327086 C4(241,863) = 6904 Sum = 5006.941381544005522 Averaged sum = 0.5002439186276356801 logp*logq = 37.07950176677955928 -------------- ************************************* p = 241; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13859741968959157.10 -------------- Searches starting with [241,877]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(241,877) = 1.147798991192543970 D2(241,877) = 0.01644414485336274187 C1(241,877) = 1.482773335412519940 C2(241,877) = 1.928823971242303894 C3(241,877) = 12.47405224637989426 C4(241,877) = 7016 Sum = 3310.580763224447015 Averaged sum = 0.3307603919696719967 logp*logq = 37.16776477154093094 -------------- ************************************* p = 241; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14210024662023257.02 -------------- Searches starting with [241,881]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(241,881) = 0.8142489115865094596 D2(241,881) = 0.1476561984598182896 C1(241,881) = 1.142685919278471812 C2(241,881) = 1.967869637990248967 C3(241,881) = 6.992433682068817066 C4(241,881) = 7048 Sum = 4128.552759878147008 Averaged sum = 0.4124840403514983522 logp*logq = 37.19272407255817842 -------------- ************************************* p = 241; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14387860989547989.27 -------------- Searches starting with [241,883]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(241,883) = 0.7111952595795599762 D2(241,883) = 0.1297056035823275937 C1(241,883) = 1.025589297560208497 C2(241,883) = 1.950365305781687953 C3(241,883) = 5.728951589798818543 C4(241,883) = 7064 Sum = 3776.267026469528408 Averaged sum = 0.3772871442171573991 logp*logq = 37.20516125914248203 -------------- ************************************* p = 241; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14748995061939173.33 -------------- Searches starting with [241,887]-exponents: u = 21, v = 4 n_start has 62 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(241,887) = 0.5612645506070582049 D2(241,887) = 0.09669616415932812045 C1(241,887) = 0.8544984743364471214 C2(241,887) = 1.918245341763345319 C3(241,887) = 4.281653958835046013 C4(241,887) = 7096 Sum = 4214.156809960451029 Averaged sum = 0.4210367479229144799 logp*logq = 37.22995134398151090 -------------- ************************************* p = 241; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16667688620585672.38 -------------- Searches starting with [241,907]-exponents: u = 36, v = 4 n_start has 98 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(241,907) = 0.6006995993439729147 D2(241,907) = 0.04237194155005758577 C1(241,907) = 0.8050149729763297187 C2(241,907) = 1.799295230470701649 C3(241,907) = 3.935820764871041567 C4(241,907) = 7256 Sum = 3937.356764027612369 Averaged sum = 0.3933816329331214277 logp*logq = 37.35224842702603715 -------------- ************************************* p = 241; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17074866570741029.43 -------------- Searches starting with [241,911]-exponents: u = 41, v = 4 n_start has 110 digits starting right neighbors generation We generated 642 left neighbors We generated 9368 right neighbors We generated 10009 non-negative rho_i D1(241,911) = 1.058091270188035787 D2(241,911) = 0.01067960437018653858 C1(241,911) = 1.543028743514005535 C2(241,911) = 1.768443482687450069 C3(241,911) = 13.82120725639919460 C4(241,911) = 7288 Sum = 3210.333173701504272 Averaged sum = 0.3207446471876815139 logp*logq = 37.37638398603194302 -------------- ************************************* p = 241; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17913639489073325.25 -------------- Searches starting with [241,919]-exponents: u = 51, v = 4 n_start has 134 digits starting right neighbors generation We generated 950 left neighbors We generated 9060 right neighbors We generated 10009 non-negative rho_i D1(241,919) = 0.6462001646429544685 D2(241,919) = 0.003409095546830091027 C1(241,919) = 0.8520692911653093540 C2(241,919) = 1.708771922565496191 C3(241,919) = 4.263988341029756443 C4(241,919) = 7352 Sum = 3498.385199671400966 Averaged sum = 0.3495239484135678855 logp*logq = 37.42433880022581449 -------------- ************************************* p = 241; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19009184533673992.50 -------------- Searches starting with [241,929]-exponents: u = 76, v = 4 n_start has 193 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(241,929) = 0.6162189058479443276 D2(241,929) = 0.01619658283802986551 C1(241,929) = 0.8236447413873892010 C2(241,929) = 1.611194617122613844 C3(241,929) = 4.062615326578249178 C4(241,929) = 7432 Sum = 3994.591259161114022 Averaged sum = 0.3990999359737350407 logp*logq = 37.48369865378782915 -------------- ************************************* p = 241; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19924535029291298.04 -------------- Searches starting with [241,937]-exponents: u = 126, v = 4 n_start has 313 digits starting right neighbors generation We generated 5035 left neighbors We generated 4975 right neighbors We generated 10009 non-negative rho_i D1(241,937) = 0.5526843559715602556 D2(241,937) = 0.009302880672305112722 C1(241,937) = 0.7471845479482852575 C2(241,937) = 1.495688916986794322 C3(241,937) = 3.566886940402371254 C4(241,937) = 7496 Sum = 4410.256976264705285 Averaged sum = 0.4406291314082031457 logp*logq = 37.53072828326906813 -------------- ************************************* p = 241; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20395541863649842.85 -------------- Searches starting with [241,941]-exponents: u = 186, v = 4 n_start has 455 digits --- performed 5000 steps in the continued fraction search [241,941]-exponents: u = 140, v = 11 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,941) = 0.5473773795802007407 D2(241,941) = 0.01779341812561225298 C1(241,941) = 0.7256534135079758772 C2(241,941) = 1.414508164840568070 C3(241,941) = 3.438542357028647089 C4(241,941) = 7528 Sum = 4808.465176276712694 Averaged sum = 0.4808946070883801074 logp*logq = 37.55409273578276797 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,941) = 0.5473773795802007407 D2(241,941) = 0.01779341812561225298 C1(241,941) = 0.7256534135079758772 C2(241,941) = 1.414508164840568070 C3(241,941) = 3.438542357028647089 C4(241,941) = 7528 Sum = 4808.465176276712694 Averaged sum = 0.4808946070883801074 logp*logq = 37.55409273578276797 -------------- ************************************* p = 241; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21119091793053718.32 -------------- Searches starting with [241,947]-exponents: u = 631, v = 4 n_start has 1515 digits --- performed 5000 steps in the continued fraction search [241,947]-exponents: u = 95, v = 425 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,947) = 0.5750761561320635023 D2(241,947) = 0.3596577841496482606 C1(241,947) = 0.7268865677749731184 C2(241,947) = 1.458439253161449046 C3(241,947) = 3.445766762089351126 C4(241,947) = 7576 Sum = 5547.876684267713226 Averaged sum = 0.5548431527420455271 logp*logq = 37.58895385060128859 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,947) = 0.5750761561320635023 D2(241,947) = 0.3596577841496482606 C1(241,947) = 0.7268865677749731184 C2(241,947) = 1.458439253161449046 C3(241,947) = 3.445766762089351126 C4(241,947) = 7576 Sum = 5547.876684267713226 Averaged sum = 0.5548431527420455271 logp*logq = 37.58895385060128859 -------------- ************************************* p = 241; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21863495930261131.30 -------------- Searches starting with [241,953]-exponents: u = 5, v = 375 n_start has 1130 digits --- performed 5000 steps in the continued fraction search [241,953]-exponents: u = 448, v = 10 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,953) = 0.5417627071956423017 D2(241,953) = 0.3075431657360941664 C1(241,953) = 0.6928636445127343532 C2(241,953) = 1.451364881767796773 C3(241,953) = 3.251902191452301035 C4(241,953) = 7624 Sum = 5380.786715718551440 Averaged sum = 0.5381324848203371777 logp*logq = 37.62359478848936256 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(241,953) = 0.5417627071956423017 D2(241,953) = 0.3075431657360941664 C1(241,953) = 0.6928636445127343532 C2(241,953) = 1.451364881767796773 C3(241,953) = 3.251902191452301035 C4(241,953) = 7624 Sum = 5380.786715718551440 Averaged sum = 0.5381324848203371777 logp*logq = 37.62359478848936256 -------------- ************************************* p = 241; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23684159121206403.74 -------------- Searches starting with [241,967]-exponents: u = 5, v = 75 n_start has 236 digits starting right neighbors generation We generated 2886 left neighbors We generated 7124 right neighbors We generated 10009 non-negative rho_i D1(241,967) = 0.8180427394131306076 D2(241,967) = 0.01127865807832376418 C1(241,967) = 1.124493473367833032 C2(241,967) = 1.571503791074020326 C3(241,967) = 6.779243255680861312 C4(241,967) = 7736 Sum = 4098.704023941347263 Averaged sum = 0.4095018507284790951 logp*logq = 37.70358282806830300 -------------- ************************************* p = 241; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24226510915412900.68 -------------- Searches starting with [241,971]-exponents: u = 5, v = 59 n_start has 189 digits starting right neighbors generation We generated 1828 left neighbors We generated 8182 right neighbors We generated 10009 non-negative rho_i D1(241,971) = 0.5945409458382795584 D2(241,971) = 0.005154523026741878969 C1(241,971) = 0.7956966297174567808 C2(241,971) = 1.620795566745460576 C3(241,971) = 3.873892464163671981 C4(241,971) = 7768 Sum = 4366.334780692708575 Averaged sum = 0.4362408612941061619 logp*logq = 37.72622392083186587 -------------- ************************************* p = 241; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25059046069235574.39 -------------- Searches starting with [241,977]-exponents: u = 5, v = 47 n_start has 153 digits starting right neighbors generation We generated 1119 left neighbors We generated 8891 right neighbors We generated 10009 non-negative rho_i D1(241,977) = 0.5919865122504089937 D2(241,977) = 0.03526516972867291737 C1(241,977) = 0.8390900172956249789 C2(241,977) = 1.685648630972984302 C3(241,977) = 4.170827624074052675 C4(241,977) = 7816 Sum = 3712.704533924394385 Averaged sum = 0.3709366104430407018 logp*logq = 37.76001127778160073 -------------- ************************************* p = 241; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25914829622744090.14 -------------- Searches starting with [241,983]-exponents: u = 5, v = 39 n_start has 129 digits starting right neighbors generation We generated 780 left neighbors We generated 9230 right neighbors We generated 10009 non-negative rho_i D1(241,983) = 0.6862446887314833310 D2(241,983) = 0.04749733516255002815 C1(241,983) = 0.9863609516423858784 C2(241,983) = 1.738754286592661486 C3(241,983) = 5.358942615522008549 C4(241,983) = 7864 Sum = 3151.841431461774616 Averaged sum = 0.3149007324869392163 logp*logq = 37.79359177206591940 -------------- ************************************* p = 241; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27092906151990319.56 -------------- Searches starting with [241,991]-exponents: u = 5, v = 31 n_start has 105 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(241,991) = 0.6007657143078542053 D2(241,991) = 0.05581017914611014345 C1(241,991) = 0.8019886515763430902 C2(241,991) = 1.796642612345888966 C3(241,991) = 3.915600499853015131 C4(241,991) = 7928 Sum = 4057.797908194706773 Averaged sum = 0.4054149173938162427 logp*logq = 37.83804832292053009 -------------- ************************************* p = 241; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28004898875008308.16 -------------- Searches starting with [241,997]-exponents: u = 5, v = 27 n_start has 93 digits starting right neighbors generation We generated 432 left neighbors We generated 9578 right neighbors We generated 10009 non-negative rho_i D1(241,997) = 0.5572158089794657597 D2(241,997) = 0.02197163850121586861 C1(241,997) = 0.7488549751833020012 C2(241,997) = 1.824164599728269675 C3(241,997) = 3.577042149724278951 C4(241,997) = 7976 Sum = 4116.182334525271276 Averaged sum = 0.4112481101533890774 logp*logq = 37.87115584960392986 -------------- ************************************* p = 251; q = 257; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20700081693752.68234 -------------- Searches starting with [251,257]-exponents: u = 1, v = 233 n_start has 564 digits --- performed 5000 steps in the continued fraction search [251,257]-exponents: u = 105, v = 107 --- starting right neighbors generation We generated 6614 left neighbors We generated 3396 right neighbors We generated 10009 non-negative rho_i D1(251,257) = 0.8434385938417818075 D2(251,257) = 0.002982725781092614481 C1(251,257) = 1.107514428378684414 C2(251,257) = 1.087096178384836290 C3(251,257) = 6.640230315282314481 C4(251,257) = 2056 Sum = 5264.507068384144817 Averaged sum = 0.5259773272438949761 logp*logq = 30.66115876275018455 -------------- ************************************* p = 251; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23515358443430.99521 -------------- Searches starting with [251,263]-exponents: u = 1, v = 118 n_start has 288 digits starting right neighbors generation We generated 1799 left neighbors We generated 8211 right neighbors We generated 10009 non-negative rho_i D1(251,263) = 0.6489835928668829745 D2(251,263) = 0.007833282652057333020 C1(251,263) = 0.8811088317702030793 C2(251,263) = 1.210503511292188992 C3(251,263) = 4.509276843639803962 C4(251,263) = 2104 Sum = 4563.151232939070507 Averaged sum = 0.4559048089658377966 logp*logq = 30.78867487439164982 -------------- ************************************* p = 251; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26636789391880.59115 -------------- Searches starting with [251,269]-exponents: u = 1, v = 79 n_start has 195 digits starting right neighbors generation We generated 835 left neighbors We generated 9175 right neighbors We generated 10009 non-negative rho_i D1(251,269) = 0.6843873122704910119 D2(251,269) = 0.005330256149419380355 C1(251,269) = 0.9506022188833919801 C2(251,269) = 1.290714755004526241 C3(251,269) = 5.078045151299458466 C4(251,269) = 2152 Sum = 4903.925220861509992 Averaged sum = 0.4899515656770416617 logp*logq = 30.91331443601501935 -------------- ************************************* p = 251; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27749637811423.66029 -------------- Searches starting with [251,271]-exponents: u = 1, v = 72 n_start has 178 digits starting right neighbors generation We generated 694 left neighbors We generated 9316 right neighbors We generated 10009 non-negative rho_i D1(251,271) = 0.8664496076626571721 D2(251,271) = 0.02628173792316538198 C1(251,271) = 1.211653556830196237 C2(251,271) = 1.332219146109588629 C3(251,271) = 7.934008977020132869 C4(251,271) = 2168 Sum = 3924.415997925692834 Averaged sum = 0.3920887199446191262 logp*logq = 30.95424390419522689 -------------- ************************************* p = 251; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31318937400591.62182 -------------- Searches starting with [251,277]-exponents: u = 1, v = 56 n_start has 140 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(251,277) = 0.8936424100849299182 D2(251,277) = 0.03582721124214798397 C1(251,277) = 1.271468007591036894 C2(251,277) = 1.401914179736512511 C3(251,277) = 8.788140969905107246 C4(251,277) = 2216 Sum = 3546.063891402840155 Averaged sum = 0.3542875303629573539 logp*logq = 31.07524405929143508 -------------- ************************************* p = 251; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33900923761232.31685 -------------- Searches starting with [251,281]-exponents: u = 1, v = 48 n_start has 120 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(251,281) = 0.8890221852524647356 D2(251,281) = 0.008278176101742690296 C1(251,281) = 1.277481968005783135 C2(251,281) = 1.413866956375386250 C3(251,281) = 8.878949499202658533 C4(251,281) = 2248 Sum = 5292.135248637676636 Averaged sum = 0.5287376609688956575 logp*logq = 31.15446337953756300 -------------- ************************************* p = 251; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35255799387831.62512 -------------- Searches starting with [251,283]-exponents: u = 1, v = 46 n_start has 116 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(251,283) = 0.9279671947489482638 D2(251,283) = 0.03366366266798010897 C1(251,283) = 1.339962813515374607 C2(251,283) = 1.452526721168254136 C3(251,283) = 9.879736435603093191 C4(251,283) = 2264 Sum = 3238.068114096022347 Averaged sum = 0.3235156473270079275 logp*logq = 31.19365115329523844 -------------- ************************************* p = 251; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42713085331807.33809 -------------- Searches starting with [251,293]-exponents: u = 1, v = 35 n_start has 89 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(251,293) = 0.5984285525074238737 D2(251,293) = 0.04871795706441107096 C1(251,293) = 0.8160532468234885644 C2(251,293) = 1.540172012551393361 C3(251,293) = 4.034704403950539774 C4(251,293) = 2344 Sum = 4443.736405220119895 Averaged sum = 0.4439740638645339090 logp*logq = 31.38552643726920767 -------------- ************************************* p = 251; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55279747010440.10737 -------------- Searches starting with [251,307]-exponents: u = 1, v = 27 n_start has 70 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(251,307) = 0.6334930684904870887 D2(251,307) = 0.0004754325064556790528 C1(251,307) = 0.9013281636136072836 C2(251,307) = 1.586082159523500183 C3(251,307) = 4.667852044706547167 C4(251,307) = 2456 Sum = 4132.440605181222825 Averaged sum = 0.4128724752903609576 logp*logq = 31.64342771886591492 -------------- ************************************* p = 251; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59378636136891.70686 -------------- Searches starting with [251,311]-exponents: u = 1, v = 25 n_start has 65 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(251,311) = 0.6044978922791247289 D2(251,311) = 0.04210061897855360634 C1(251,311) = 0.9180169519412157820 C2(251,311) = 1.643445449792599696 C3(251,311) = 4.802930501030348359 C4(251,311) = 2488 Sum = 4397.377786371464878 Averaged sum = 0.4393423705036931639 logp*logq = 31.71495561660853036 -------------- ************************************* p = 251; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61519499653266.63161 -------------- Searches starting with [251,313]-exponents: u = 1, v = 25 n_start has 65 digits starting right neighbors generation We generated 124 left neighbors We generated 9886 right neighbors We generated 10009 non-negative rho_i D1(251,313) = 1.007122809034101399 D2(251,313) = 0.01012478565273916838 C1(251,313) = 1.535518857827709351 C2(251,313) = 1.627133257756380025 C3(251,313) = 13.80129649042196949 C4(251,313) = 2504 Sum = 2257.043899510415255 Averaged sum = 0.2255014386562508997 logp*logq = 31.75037530801852358 -------------- ************************************* p = 251; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65991082331823.28256 -------------- Searches starting with [251,317]-exponents: u = 1, v = 23 n_start has 60 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(251,317) = 1.082110684867521913 D2(251,317) = 0.03034857585080769373 C1(251,317) = 1.511872758829292271 C2(251,317) = 1.664947790119571821 C3(251,317) = 13.25457422018463098 C4(251,317) = 2536 Sum = 4932.787818016113123 Averaged sum = 0.4928352300945262387 logp*logq = 31.82054073264146405 -------------- ************************************* p = 251; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83789769231260.65619 -------------- Searches starting with [251,331]-exponents: u = 1, v = 19 n_start has 51 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(251,331) = 1.018655647284109466 D2(251,331) = 0.06905174155040774925 C1(251,331) = 1.590585916905403818 C2(251,331) = 1.764523207300728669 C3(251,331) = 15.16351558544123036 C4(251,331) = 2648 Sum = 4474.387630801616276 Averaged sum = 0.4470364302928980194 logp*logq = 32.05933203041772315 -------------- ************************************* p = 251; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92533729155978.27328 -------------- Searches starting with [251,337]-exponents: u = 1, v = 18 n_start has 48 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(251,337) = 0.8862964389595571045 D2(251,337) = 0.08504390463504312301 C1(251,337) = 1.233023985794885849 C2(251,337) = 1.804377146593378018 C3(251,337) = 8.229196025538884641 C4(251,337) = 2696 Sum = 4471.055822335261131 Averaged sum = 0.4467035490393906614 logp*logq = 32.15859433350618254 -------------- ************************************* p = 251; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108760441740614.2296 -------------- Searches starting with [251,347]-exponents: u = 1, v = 17 n_start has 46 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(251,347) = 0.8524289254939771339 D2(251,347) = 0.01167213051207186441 C1(251,347) = 1.356589638125852321 C2(251,347) = 1.783710411052501927 C3(251,347) = 10.16455990100711062 C4(251,347) = 2776 Sum = 3512.723043157011502 Averaged sum = 0.3509564435165362676 logp*logq = 32.32016879729374814 -------------- ************************************* p = 251; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112269613899884.3011 -------------- Searches starting with [251,349]-exponents: u = 1, v = 16 n_start has 44 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(251,349) = 0.6775054457941530539 D2(251,349) = 0.05320181460422860685 C1(251,349) = 0.9491928092109339537 C2(251,349) = 1.826135423352341766 C3(251,349) = 5.065825871070358728 C4(251,349) = 2792 Sum = 4115.369379512985653 Averaged sum = 0.4111668877523214760 logp*logq = 32.35192436136138465 -------------- ************************************* p = 251; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119566422237513.3244 -------------- Searches starting with [251,353]-exponents: u = 1, v = 16 n_start has 44 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(251,353) = 0.8578931351568779416 D2(251,353) = 0.1466747757015062032 C1(251,353) = 1.187112229564504823 C2(251,353) = 1.440944881911919159 C3(251,353) = 7.608061145226468618 C4(251,353) = 2824 Sum = 4866.897163483597706 Averaged sum = 0.4862520894678387157 logp*logq = 32.41489316750480991 -------------- ************************************* p = 251; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131236346238829.3882 -------------- Searches starting with [251,359]-exponents: u = 1, v = 15 n_start has 41 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(251,359) = 0.6273371468201167308 D2(251,359) = 0.08940116561900003698 C1(251,359) = 0.8419264505631658767 C2(251,359) = 1.894533987282511796 C3(251,359) = 4.217151059755610686 C4(251,359) = 2872 Sum = 4239.153380103571095 Averaged sum = 0.4235341572688151758 logp*logq = 32.50802098333238736 -------------- ************************************* p = 251; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148231888835108.5334 -------------- Searches starting with [251,367]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(251,367) = 0.7605696058913798504 D2(251,367) = 0.05200224767438142912 C1(251,367) = 1.013423807734359687 C2(251,367) = 1.891475349738863801 C3(251,367) = 5.653706874951297932 C4(251,367) = 2936 Sum = 4017.092469975652673 Averaged sum = 0.4013480337671748099 logp*logq = 32.62979897996982828 -------------- ************************************* p = 251; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162127289959669.2376 -------------- Searches starting with [251,373]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(251,373) = 0.8798762087668167833 D2(251,373) = 0.1060201804120316700 C1(251,373) = 1.435268347383214865 C2(251,373) = 1.186822891720211161 C3(251,373) = 11.62778857459327009 C4(251,373) = 2984 Sum = 3955.166409090305992 Averaged sum = 0.3951609960126192419 logp*logq = 32.71940288312026454 -------------- ************************************* p = 251; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 177071881383596.1029 -------------- Searches starting with [251,379]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(251,379) = 0.6725930033669416986 D2(251,379) = 0.05619024726607756960 C1(251,379) = 0.9414283553316306288 C2(251,379) = 1.935374538643180064 C3(251,379) = 4.999034988314994796 C4(251,379) = 3032 Sum = 4237.513355350858516 Averaged sum = 0.4233703022630491074 logp*logq = 32.80757687557407100 -------------- ************************************* p = 251; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187647705339253.4927 -------------- Searches starting with [251,383]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(251,383) = 0.7887731329033196971 D2(251,383) = 0.09204472535173140086 C1(251,383) = 1.299755603153863764 C2(251,383) = 1.241792961217641813 C3(251,383) = 9.223522621777239545 C4(251,383) = 3064 Sum = 4112.344359284490684 Averaged sum = 0.4108646577364862308 logp*logq = 32.86558741302688876 -------------- ************************************* p = 251; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204477081032931.9236 -------------- Searches starting with [251,389]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(251,389) = 0.6180377490735723616 D2(251,389) = 0.1215082442909363132 C1(251,389) = 0.8684150844959737748 C2(251,389) = 1.755233696261254466 C3(251,389) = 4.412487305939919365 C4(251,389) = 3112 Sum = 4320.870102515413146 Averaged sum = 0.4316984816180850380 logp*logq = 32.95147701194213863 -------------- ************************************* p = 251; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 228820349064948.6988 -------------- Searches starting with [251,397]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(251,397) = 0.8732885409464422041 D2(251,397) = 0.07457432310200179656 C1(251,397) = 1.455351010953535037 C2(251,397) = 1.184337227606136317 C3(251,397) = 12.03388483523824673 C4(251,397) = 3176 Sum = 3945.960989257715535 Averaged sum = 0.3942412817721765946 logp*logq = 33.06395830970035158 -------------- ************************************* p = 251; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 241853136900962.3969 -------------- Searches starting with [251,401]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(251,401) = 0.7174334213630704284 D2(251,401) = 0.1064063081759760534 C1(251,401) = 1.012309645680052892 C2(251,401) = 1.775076783306102395 C3(251,401) = 5.642949581346108115 C4(251,401) = 3208 Sum = 4567.968318635740503 Averaged sum = 0.4563860843876251877 logp*logq = 33.11935178555362510 -------------- ************************************* p = 251; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269745512473970.0250 -------------- Searches starting with [251,409]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(251,409) = 0.6944128441441118023 D2(251,409) = 0.02521569644496674626 C1(251,409) = 1.023139554520554018 C2(251,409) = 2.000781226737490669 C3(251,409) = 5.748386310516712889 C4(251,409) = 3272 Sum = 3472.773443542246331 Averaged sum = 0.3469650757860172176 logp*logq = 33.22850008405805327 -------------- ************************************* p = 251; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 308262133763062.3445 -------------- Searches starting with [251,419]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(251,419) = 0.5798855418273167025 D2(251,419) = 0.08459554705080200570 C1(251,419) = 0.7924422113438844585 C2(251,419) = 1.794950144935211559 C3(251,419) = 3.875106545664506395 C4(251,419) = 3352 Sum = 4367.452181646909828 Averaged sum = 0.4363525009138685012 logp*logq = 33.36197162058210367 -------------- ************************************* p = 251; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 316480692016443.2076 -------------- Searches starting with [251,421]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(251,421) = 0.7791794921841206990 D2(251,421) = 0.08209553461082759374 C1(251,421) = 1.025705840702460019 C2(251,421) = 1.793319283938282386 C3(251,421) = 5.773658263717831168 C4(251,421) = 3368 Sum = 3565.580395035065784 Averaged sum = 0.3562374258202683369 logp*logq = 33.38828335096453423 -------------- ************************************* p = 251; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 360313202308448.6929 -------------- Searches starting with [251,431]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(251,431) = 0.7093804280968791607 D2(251,431) = 0.01708746483135575605 C1(251,431) = 0.9721233467127203521 C2(251,431) = 2.053504499869447990 C3(251,431) = 5.268332202155847381 C4(251,431) = 3448 Sum = 4454.167662021618700 Averaged sum = 0.4450162515757437007 logp*logq = 33.51799477555484533 -------------- ************************************* p = 251; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 369649221502360.5647 -------------- Searches starting with [251,433]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(251,433) = 0.6298484047700562627 D2(251,433) = 0.03915376481090370410 C1(251,433) = 1.079066478765611483 C2(251,433) = 2.076339675013867605 C3(251,433) = 6.325054892052192804 C4(251,433) = 3464 Sum = 4369.893807014554133 Averaged sum = 0.4365964439019436640 logp*logq = 33.54357562188956553 -------------- ************************************* p = 251; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 398853447210088.3914 -------------- Searches starting with [251,439]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(251,439) = 0.6574953025343654320 D2(251,439) = 0.06223691603688319652 C1(251,439) = 1.126197842561844422 C2(251,439) = 1.820296468766520989 C3(251,439) = 6.855720596938996498 C4(251,439) = 3512 Sum = 4402.182623566522973 Averaged sum = 0.4398224221766932733 logp*logq = 33.61961516512181954 -------------- ************************************* p = 251; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 419352510379828.0726 -------------- Searches starting with [251,443]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(251,443) = 0.7347541665952463773 D2(251,443) = 0.05769450938002416514 C1(251,443) = 0.9980210390498031571 C2(251,443) = 1.817442826561684637 C3(251,443) = 5.506793197688056738 C4(251,443) = 3544 Sum = 4373.668678266473295 Averaged sum = 0.4369735915942125382 logp*logq = 33.66973299570048318 -------------- ************************************* p = 251; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 451712740753727.2857 -------------- Searches starting with [251,449]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(251,449) = 1.437388971904842596 D2(251,449) = 0.05105762831890387471 C1(251,449) = 2.244422016279184215 C2(251,449) = 1.813310119781499712 C3(251,449) = 46.36463271200991724 C4(251,449) = 3592 Sum = 4496.917696275593221 Averaged sum = 0.4492874109576973944 logp*logq = 33.74406756442051327 -------------- ************************************* p = 251; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 498014268160765.8145 -------------- Searches starting with [251,457]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(251,457) = 0.7945642394747517587 D2(251,457) = 0.03529114718482231705 C1(251,457) = 1.094932214675451538 C2(251,457) = 1.500711297623915173 C3(251,457) = 6.498939764077489659 C4(251,457) = 3656 Sum = 4589.455439859016742 Averaged sum = 0.4585328644079345332 logp*logq = 33.84164984346800377 -------------- ************************************* p = 251; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 522581591491462.8403 -------------- Searches starting with [251,461]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(251,461) = 0.7211861040019985700 D2(251,461) = 0.01631531510266409797 C1(251,461) = 1.256798726292479359 C2(251,461) = 2.125854946429730270 C3(251,461) = 8.570516817891317945 C4(251,461) = 3688 Sum = 4066.372147651005457 Averaged sum = 0.4062715703517839401 logp*logq = 33.88980224354096296 -------------- ************************************* p = 251; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 535232308776414.0351 -------------- Searches starting with [251,463]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(251,463) = 1.045233888356842404 D2(251,463) = 0.02186598172077658538 C1(251,463) = 1.821273378875111997 C2(251,463) = 1.085879763756271449 C3(251,463) = 22.49338750172120039 C4(251,463) = 3704 Sum = 3632.523963300152744 Averaged sum = 0.3629257631431864066 logp*logq = 33.91372199058944755 -------------- ************************************* p = 251; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 561286766824596.8552 -------------- Searches starting with [251,467]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(251,467) = 0.8983921694200911475 D2(251,467) = 0.03315151937028927276 C1(251,467) = 1.232590271316166243 C2(251,467) = 1.849017348026371905 C3(251,467) = 8.223097354412226614 C4(251,467) = 3736 Sum = 4883.843429005125825 Averaged sum = 0.4879451922275078254 logp*logq = 33.96125306165828410 -------------- ************************************* p = 251; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 645754944850222.6861 -------------- Searches starting with [251,479]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(251,479) = 0.5814376366277431061 D2(251,479) = 0.02120704792979160796 C1(251,479) = 0.9190562468690705871 C2(251,479) = 1.841904833523130915 C3(251,479) = 4.811470656976251986 C4(251,479) = 3832 Sum = 3984.503313528511115 Averaged sum = 0.3980920485091928379 logp*logq = 34.10144120540552807 -------------- ************************************* p = 251; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 707643949549066.4639 -------------- Searches starting with [251,487]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(251,487) = 1.011565440016702231 D2(251,487) = 0.01242041803816349963 C1(251,487) = 1.530487724164608061 C2(251,487) = 1.678867523602769471 C3(251,487) = 13.68311363796491309 C4(251,487) = 3896 Sum = 4330.340816828177892 Averaged sum = 0.4326447014515114288 logp*logq = 34.19296218701046700 -------------- ************************************* p = 251; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 740362034342571.5048 -------------- Searches starting with [251,491]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(251,491) = 0.7541000087418285527 D2(251,491) = 0.008162634475259584377 C1(251,491) = 1.009038629206154698 C2(251,491) = 1.515571164784763250 C3(251,491) = 5.611485853091046472 C4(251,491) = 3928 Sum = 4131.771802344685637 Averaged sum = 0.4128056551448382093 logp*logq = 34.23816041808811681 -------------- ************************************* p = 251; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 809520013023730.2070 -------------- Searches starting with [251,499]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(251,499) = 0.9096991647044104514 D2(251,499) = 0.001688688422280926781 C1(251,499) = 1.617596787034147577 C2(251,499) = 1.166231280261339106 C3(251,499) = 15.88005142514655746 C4(251,499) = 3992 Sum = 4175.784152588666382 Averaged sum = 0.4172029326195090800 logp*logq = 34.32746261143826560 -------------- ************************************* p = 251; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 846031948081863.6654 -------------- Searches starting with [251,503]-exponents: u = 9, v = 7 n_start has 41 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(251,503) = 0.7507271210457150095 D2(251,503) = 0.009946850161741133804 C1(251,503) = 1.224598260099788477 C2(251,503) = 1.215508236243219280 C3(251,503) = 8.111523290494183270 C4(251,503) = 4024 Sum = 4420.365573601356434 Averaged sum = 0.4416390821861680922 logp*logq = 34.37157823851188747 -------------- ************************************* p = 251; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 903320207905888.8545 -------------- Searches starting with [251,509]-exponents: u = 9, v = 7 n_start has 41 digits starting right neighbors generation We generated 31 left neighbors We generated 9979 right neighbors We generated 10009 non-negative rho_i D1(251,509) = 0.6086030619184671756 D2(251,509) = 0.04411625504347760129 C1(251,509) = 0.8360108509870764953 C2(251,509) = 1.518251494994725086 C3(251,509) = 4.174722443711420071 C4(251,509) = 4072 Sum = 4223.685525250622113 Averaged sum = 0.4219887626386873926 logp*logq = 34.43709821103514275 -------------- ************************************* p = 251; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1027445947093269.987 -------------- Searches starting with [251,521]-exponents: u = 9, v = 15 n_start has 63 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(251,521) = 0.6163290135986006800 D2(251,521) = 0.1371820043190059222 C1(251,521) = 0.8736428195968233423 C2(251,521) = 1.844805350317263254 C3(251,521) = 4.452094475036688313 C4(251,521) = 4168 Sum = 3786.185204184954798 Averaged sum = 0.3782780701553556597 logp*logq = 34.56585245467992100 -------------- ************************************* p = 251; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1049429206437483.757 -------------- Searches starting with [251,523]-exponents: u = 9, v = 15 n_start has 63 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(251,523) = 0.8437094003394363167 D2(251,523) = 0.1294223558480614701 C1(251,523) = 1.127184824673139010 C2(251,523) = 1.358702401640846408 C3(251,523) = 6.867296733960581680 C4(251,523) = 4184 Sum = 4326.431039649299076 Averaged sum = 0.4322540752971624613 logp*logq = 34.58702279835236310 -------------- ************************************* p = 251; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1265181584048421.210 -------------- Searches starting with [251,541]-exponents: u = 41, v = 7 n_start has 118 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(251,541) = 0.7240277374132427285 D2(251,541) = 0.03220621303442847610 C1(251,541) = 1.057299265014781521 C2(251,541) = 1.762989914728333523 C3(251,541) = 6.094036042394321305 C4(251,541) = 4328 Sum = 3273.195448916485412 Averaged sum = 0.3270252221916760328 logp*logq = 34.77399205149092311 -------------- ************************************* p = 251; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1344683635356095.596 -------------- Searches starting with [251,547]-exponents: u = 81, v = 7 n_start has 214 digits starting right neighbors generation We generated 3302 left neighbors We generated 6708 right neighbors We generated 10009 non-negative rho_i D1(251,547) = 0.6439880376579766128 D2(251,547) = 0.02373235539727555431 C1(251,547) = 0.8892339864319639827 C2(251,547) = 1.655357155284379829 C3(251,547) = 4.572342485128622164 C4(251,547) = 4376 Sum = 4505.784609423690419 Averaged sum = 0.4501733049678979337 logp*logq = 34.83493516494839114 -------------- ************************************* p = 251; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1486256129122041.005 -------------- Searches starting with [251,557]-exponents: u = 8, v = 97 n_start has 286 digits --- performed 5000 steps in the continued fraction search [251,557]-exponents: u = 24, v = 13 --- starting right neighbors generation We generated 6090 left neighbors We generated 3920 right neighbors We generated 10009 non-negative rho_i D1(251,557) = 0.6187613495192879767 D2(251,557) = 0.001859749285154591861 C1(251,557) = 0.8400758090292518029 C2(251,557) = 1.659816004669793645 C3(251,557) = 4.203831508924138687 C4(251,557) = 4456 Sum = 4536.156640653798487 Averaged sum = 0.4532077770660204303 logp*logq = 34.93503668780866386 -------------- ************************************* p = 251; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1576901965304016.796 -------------- Searches starting with [251,563]-exponents: u = 8, v = 41 n_start has 132 digits starting right neighbors generation We generated 807 left neighbors We generated 9203 right neighbors We generated 10009 non-negative rho_i D1(251,563) = 0.8863878778924218455 D2(251,563) = 0.005202931068843224518 C1(251,563) = 1.173452618097396616 C2(251,563) = 1.487617459073782672 C3(251,563) = 7.432476375615830228 C4(251,563) = 4504 Sum = 3665.855383805489275 Averaged sum = 0.3662559080632919647 logp*logq = 34.99423853564790353 -------------- ************************************* p = 251; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1672026552692342.697 -------------- Searches starting with [251,569]-exponents: u = 8, v = 27 n_start has 94 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(251,569) = 1.060431883507324959 D2(251,569) = 0.03070365950102662392 C1(251,569) = 1.588295976568235692 C2(251,569) = 1.615748110912114643 C3(251,569) = 15.10427638043223944 C4(251,569) = 4552 Sum = 3400.529571549669007 Averaged sum = 0.3397471846887470284 logp*logq = 35.05281279024395230 -------------- ************************************* p = 251; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1704759370998766.240 -------------- Searches starting with [251,571]-exponents: u = 8, v = 20 n_start has 75 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(251,571) = 0.8359744255257181780 D2(251,571) = 0.04134464705885467907 C1(251,571) = 1.125567011787491663 C2(251,571) = 1.703696683954611999 C3(251,571) = 6.848331919412778991 C4(251,571) = 4568 Sum = 4306.700615814687990 Averaged sum = 0.4302828070551191917 logp*logq = 35.07220036430717245 -------------- ************************************* p = 251; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1806121707023772.853 -------------- Searches starting with [251,577]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(251,577) = 0.6767212442358732268 D2(251,577) = 0.07492341536998612300 C1(251,577) = 0.9377955714041741228 C2(251,577) = 1.853181207788668255 C3(251,577) = 4.968088393065686226 C4(251,577) = 4616 Sum = 4123.408413417853939 Averaged sum = 0.4119700682803330941 logp*logq = 35.12995823801346115 -------------- ************************************* p = 251; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1986001325106433.085 -------------- Searches starting with [251,587]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(251,587) = 1.140307032788777115 D2(251,587) = 0.08117598289549432396 C1(251,587) = 1.860108087486887054 C2(251,587) = 1.144138798999270250 C3(251,587) = 24.03723478787863391 C4(251,587) = 4696 Sum = 3118.700243321962606 Averaged sum = 0.3115895936978681792 logp*logq = 35.22489962775722654 -------------- ************************************* p = 251; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2100792729968777.271 -------------- Searches starting with [251,593]-exponents: u = 15, v = 6 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(251,593) = 0.8092317020586762116 D2(251,593) = 0.09614847412058002607 C1(251,593) = 1.159317049397219901 C2(251,593) = 1.899462054141172874 C3(251,593) = 7.255038897547956426 C4(251,593) = 4744 Sum = 4549.444930792280960 Averaged sum = 0.4545354112091398701 logp*logq = 35.28109115886978649 -------------- ************************************* p = 251; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2220962363254370.093 -------------- Searches starting with [251,599]-exponents: u = 15, v = 6 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(251,599) = 0.7666400122062570717 D2(251,599) = 0.05950095452218163901 C1(251,599) = 1.038053148856915056 C2(251,599) = 1.864782152248346121 C3(251,599) = 5.896812515398635413 C4(251,599) = 4792 Sum = 4219.518403745379307 Averaged sum = 0.4215724251918652519 logp*logq = 35.33671699382363889 -------------- ************************************* p = 251; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2262247509674755.710 -------------- Searches starting with [251,601]-exponents: u = 22, v = 6 n_start has 70 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(251,601) = 0.8979193830917818542 D2(251,601) = 0.04812996745255621710 C1(251,601) = 1.394474247850881249 C2(251,601) = 1.854062593270138093 C3(251,601) = 10.84458400168412845 C4(251,601) = 4808 Sum = 2733.377393056961272 Averaged sum = 0.2730919565448058020 logp*logq = 35.35513518734130703 -------------- ************************************* p = 251; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2389891217362592.977 -------------- Searches starting with [251,607]-exponents: u = 22, v = 6 n_start has 70 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(251,607) = 0.7248654057734990762 D2(251,607) = 0.01609488465902700757 C1(251,607) = 1.092851172953473237 C2(251,607) = 1.823968668817471791 C3(251,607) = 6.475862413749828547 C4(251,607) = 4856 Sum = 3664.993609533294267 Averaged sum = 0.3661698081260160123 logp*logq = 35.41002424407036243 -------------- ************************************* p = 251; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2523374277265086.831 -------------- Searches starting with [251,613]-exponents: u = 36, v = 6 n_start has 104 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(251,613) = 0.7298371081030869328 D2(251,613) = 0.05880538082223244326 C1(251,613) = 0.9927622343652947302 C2(251,613) = 1.759024479564075374 C3(251,613) = 5.457513259884341774 C4(251,613) = 4904 Sum = 4228.139476147075634 Averaged sum = 0.4224337572331976855 logp*logq = 35.46437339968912307 -------------- ************************************* p = 251; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2615708602121179.622 -------------- Searches starting with [251,617]-exponents: u = 43, v = 6 n_start has 120 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(251,617) = 1.017295099868697416 D2(251,617) = 0.02122747022291085805 C1(251,617) = 1.461805303286271215 C2(251,617) = 1.722673160439957177 C3(251,617) = 12.16738668383641987 C4(251,617) = 4936 Sum = 5339.924430717942195 Averaged sum = 0.5335122820179780393 logp*logq = 35.50031143167478056 -------------- ************************************* p = 251; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2662902723082172.070 -------------- Searches starting with [251,619]-exponents: u = 57, v = 6 n_start has 154 digits starting right neighbors generation We generated 1630 left neighbors We generated 8380 right neighbors We generated 10009 non-negative rho_i D1(251,619) = 0.6298980111664404856 D2(251,619) = 0.003848829781792994555 C1(251,619) = 0.8962131488215910825 C2(251,619) = 1.705904802925620939 C3(251,619) = 4.627216918574719919 C4(251,619) = 4952 Sum = 3540.030117204885713 Averaged sum = 0.3536846954945434822 logp*logq = 35.51819317200361865 -------------- ************************************* p = 251; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2960945765724490.692 -------------- Searches starting with [251,631]-exponents: u = 7, v = 971 n_start has 2736 digits --- performed 5000 steps in the continued fraction search [251,631]-exponents: u = 947, v = 161 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(251,631) = 0.6261223746768572549 D2(251,631) = 0.4757476288224602658 C1(251,631) = 0.7783090798524051576 C2(251,631) = 1.451339802900911704 C3(251,631) = 3.782610858850316737 C4(251,631) = 5048 Sum = 5911.734681991544898 Averaged sum = 0.5912325914583003198 logp*logq = 35.62428512765992727 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(251,631) = 0.6261223746768572549 D2(251,631) = 0.4757476288224602658 C1(251,631) = 0.7783090798524051576 C2(251,631) = 1.451339802900911704 C3(251,631) = 3.782610858850316737 C4(251,631) = 5048 Sum = 5911.734681991544898 Averaged sum = 0.5912325914583003198 logp*logq = 35.62428512765992727 -------------- ************************************* p = 251; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3229698255519595.591 -------------- Searches starting with [251,641]-exponents: u = 7, v = 53 n_start has 166 digits starting right neighbors generation We generated 1813 left neighbors We generated 8197 right neighbors We generated 10009 non-negative rho_i D1(251,641) = 0.5592558149925085193 D2(251,641) = 0.02215162576498793134 C1(251,641) = 0.7908930053078808423 C2(251,641) = 1.675514977237390500 C3(251,641) = 3.864858223271381515 C4(251,641) = 5128 Sum = 4070.210300245088214 Averaged sum = 0.4066550404880695588 logp*logq = 35.71116510843761330 -------------- ************************************* p = 251; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3285773132088576.685 -------------- Searches starting with [251,643]-exponents: u = 7, v = 41 n_start has 132 digits starting right neighbors generation We generated 1057 left neighbors We generated 8953 right neighbors We generated 10009 non-negative rho_i D1(251,643) = 0.8253603536254977751 D2(251,643) = 0.04457639799244547697 C1(251,643) = 1.177425485353480109 C2(251,643) = 1.698417605018859068 C3(251,643) = 7.483122702669816174 C4(251,643) = 5144 Sum = 4819.431859087079890 Averaged sum = 0.4815098270643500739 logp*logq = 35.72837837139023226 -------------- ************************************* p = 251; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3400316314999180.189 -------------- Searches starting with [251,647]-exponents: u = 7, v = 35 n_start has 116 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(251,647) = 0.8231810846610384282 D2(251,647) = 0.02434336350482018255 C1(251,647) = 1.202098268974084593 C2(251,647) = 1.763266646526722063 C3(251,647) = 7.805471614356956944 C4(251,647) = 5176 Sum = 3267.934095507907644 Averaged sum = 0.3264995599468386097 logp*logq = 35.76264485602871151 -------------- ************************************* p = 251; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3578246959121899.335 -------------- Searches starting with [251,653]-exponents: u = 7, v = 23 n_start has 82 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(251,653) = 0.7800129773363646735 D2(251,653) = 0.07107597784247801467 C1(251,653) = 1.104356978177766670 C2(251,653) = 1.811494139384374974 C3(251,653) = 6.604487969726769932 C4(251,653) = 5224 Sum = 4440.314487909123406 Averaged sum = 0.4436321798290661810 logp*logq = 35.81364939916980637 -------------- ************************************* p = 251; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3763732066090987.672 -------------- Searches starting with [251,659]-exponents: u = 7, v = 17 n_start has 65 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(251,659) = 0.5693770490839339679 D2(251,659) = 0.1245766774101639162 C1(251,659) = 0.7955059077230506089 C2(251,659) = 1.866475804135185094 C3(251,659) = 3.895453617887019728 C4(251,659) = 5272 Sum = 4230.377748274491658 Averaged sum = 0.4226573831825848394 logp*logq = 35.86418743080871919 -------------- ************************************* p = 251; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3827281827030745.891 -------------- Searches starting with [251,661]-exponents: u = 7, v = 17 n_start has 65 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(251,661) = 0.7582617939578272848 D2(251,661) = 0.003757992363292271394 C1(251,661) = 1.031930564248335563 C2(251,661) = 1.746883512172001162 C3(251,661) = 5.835419868717620531 C4(251,661) = 5288 Sum = 4273.308125305420572 Averaged sum = 0.4269465606259786764 logp*logq = 35.88093124040680743 -------------- ************************************* p = 251; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4227310501748217.223 -------------- Searches starting with [251,673]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(251,673) = 0.8638943640590248084 D2(251,673) = 0.04560817709075834594 C1(251,673) = 1.286240552898695133 C2(251,673) = 1.918256437118286270 C3(251,673) = 9.012881851337600299 C4(251,673) = 5384 Sum = 3979.168661118074752 Averaged sum = 0.3975590629551478421 logp*logq = 35.98034237056312818 -------------- ************************************* p = 251; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4368018598348643.784 -------------- Searches starting with [251,677]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(251,677) = 0.7203390291910303622 D2(251,677) = 0.06029307142954702587 C1(251,677) = 1.041947233893000149 C2(251,677) = 1.933986817641925217 C3(251,677) = 5.936195065926755744 C4(251,677) = 5416 Sum = 3513.896846469488636 Averaged sum = 0.3510737183004784330 logp*logq = 36.01308589120792500 -------------- ************************************* p = 251; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4586255101957668.203 -------------- Searches starting with [251,683]-exponents: u = 7, v = 11 n_start has 48 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(251,683) = 0.7518117644400356553 D2(251,683) = 0.07023013690925988832 C1(251,683) = 1.252950763233357504 C2(251,683) = 1.323399380606321149 C3(251,683) = 8.514328600940696759 C4(251,683) = 5464 Sum = 4154.846234024854139 Averaged sum = 0.4151110234813521969 logp*logq = 36.06184020404390109 -------------- ************************************* p = 251; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4891052476914780.037 -------------- Searches starting with [251,691]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(251,691) = 0.6641222005208490261 D2(251,691) = 0.06819130557020267395 C1(251,691) = 0.9304429585287700460 C2(251,691) = 1.971891075778952973 C3(251,691) = 4.906038710293495472 C4(251,691) = 5528 Sum = 3778.251828708350273 Averaged sum = 0.3774854459694625111 logp*logq = 36.12618390569163516 -------------- ************************************* p = 251; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5295183152639553.712 -------------- Searches starting with [251,701]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(251,701) = 0.5712150764717582310 D2(251,701) = 0.02559915954716097483 C1(251,701) = 0.7705713696567603827 C2(251,701) = 1.932211231297556990 C3(251,701) = 3.732909296485588186 C4(251,701) = 5608 Sum = 4092.073983064329716 Averaged sum = 0.4088394428079058563 logp*logq = 36.20557396309947076 -------------- ************************************* p = 251; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5637825357258479.483 -------------- Searches starting with [251,709]-exponents: u = 19, v = 5 n_start has 60 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(251,709) = 0.6981163007032924427 D2(251,709) = 0.1348665348290165039 C1(251,709) = 1.103400884679118962 C2(251,709) = 1.392430632582641286 C3(251,709) = 6.593702984749368302 C4(251,709) = 5672 Sum = 4124.577657395466965 Averaged sum = 0.4120868875407600125 logp*logq = 36.26827481111334676 -------------- ************************************* p = 251; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6091455047930242.471 -------------- Searches starting with [251,719]-exponents: u = 19, v = 5 n_start has 60 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(251,719) = 1.358721347102921654 D2(251,719) = 0.07631951925019866224 C1(251,719) = 2.080264394099747365 C2(251,719) = 1.867071300220063967 C3(251,719) = 35.02043022663410652 C4(251,719) = 5752 Sum = 5310.065738361997215 Averaged sum = 0.5305290976483162368 logp*logq = 36.34566337222114390 -------------- ************************************* p = 251; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6475506160914245.339 -------------- Searches starting with [251,727]-exponents: u = 31, v = 5 n_start has 89 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(251,727) = 0.9948126370629425469 D2(251,727) = 0.01941989174699042777 C1(251,727) = 1.295653239836527858 C2(251,727) = 1.812329988850010546 C3(251,727) = 9.159069499569384495 C4(251,727) = 5816 Sum = 3177.922278146756086 Averaged sum = 0.3175064719898847123 logp*logq = 36.40680317101081639 -------------- ************************************* p = 251; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6776371037558031.376 -------------- Searches starting with [251,733]-exponents: u = 37, v = 5 n_start has 104 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(251,733) = 0.5878486236555291104 D2(251,733) = 0.05167769314765887658 C1(251,733) = 0.8171631236893253899 C2(251,733) = 1.763407247007430801 C3(251,733) = 4.042366249962946292 C4(251,733) = 5864 Sum = 4104.382906065015359 Averaged sum = 0.4100692283010306083 logp*logq = 36.45221810837021383 -------------- ************************************* p = 251; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7088589766908606.490 -------------- Searches starting with [251,739]-exponents: u = 49, v = 5 n_start has 132 digits starting right neighbors generation We generated 940 left neighbors We generated 9070 right neighbors We generated 10009 non-negative rho_i D1(251,739) = 0.6728614637158048580 D2(251,739) = 0.04797994497282935603 C1(251,739) = 0.9205077130534079112 C2(251,739) = 1.699555485103496367 C3(251,739) = 4.823423150042290364 C4(251,739) = 5912 Sum = 4397.463764124864397 Averaged sum = 0.4393509605479932457 logp*logq = 36.49726281114430299 -------------- ************************************* p = 251; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7303206476576901.059 -------------- Searches starting with [251,743]-exponents: u = 61, v = 5 n_start has 161 digits starting right neighbors generation We generated 1562 left neighbors We generated 8448 right neighbors We generated 10009 non-negative rho_i D1(251,743) = 0.8544443059179506558 D2(251,743) = 0.001850524716151162858 C1(251,743) = 1.201809378738551354 C2(251,743) = 1.654417318253903028 C3(251,743) = 7.801618076330656471 C4(251,743) = 5944 Sum = 4971.976196418777528 Averaged sum = 0.4967505441521408260 logp*logq = 36.52708988999260102 -------------- ************************************* p = 251; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7748419792344323.961 -------------- Searches starting with [251,751]-exponents: u = 139, v = 5 n_start has 348 digits **************************************************** Computing .... elapsed time = 30 minutes **************************************************** --- performed 5000 steps in the continued fraction search [251,751]-exponents: u = 81, v = 9 --- starting right neighbors generation We generated 7405 left neighbors We generated 2605 right neighbors We generated 10009 non-negative rho_i D1(251,751) = 1.111437926051886029 D2(251,751) = 0.002868573208411899786 C1(251,751) = 1.493185015599680864 C2(251,751) = 1.482461378348324578 C3(251,751) = 12.83785898484539428 C4(251,751) = 6008 Sum = 4728.652273243133071 Averaged sum = 0.4724400312961467750 logp*logq = 36.58626531972394343 -------------- ************************************* p = 251; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8096713821965050.076 -------------- Searches starting with [251,757]-exponents: u = 1123, v = 5 n_start has 2710 digits --- performed 5000 steps in the continued fraction search [251,757]-exponents: u = 345, v = 649 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(251,757) = 0.9096882606723644938 D2(251,757) = 0.5043704141030290797 C1(251,757) = 1.131078186988731071 C2(251,757) = 1.501809740005300606 C3(251,757) = 6.913152236128499948 C4(251,757) = 6056 Sum = 5878.527216271161405 Averaged sum = 0.5879115127783939799 logp*logq = 36.63023467327819645 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(251,757) = 0.9096882606723644938 D2(251,757) = 0.5043704141030290797 C1(251,757) = 1.131078186988731071 C2(251,757) = 1.501809740005300606 C3(251,757) = 6.913152236128499948 C4(251,757) = 6056 Sum = 5878.527216271161405 Averaged sum = 0.5879115127783939799 logp*logq = 36.63023467327819645 -------------- ************************************* p = 251; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8335954213286412.134 -------------- Searches starting with [251,761]-exponents: u = 6, v = 269 n_start has 790 digits --- performed 5000 steps in the continued fraction search [251,761]-exponents: u = 131, v = 149 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(251,761) = 0.7093279368042437617 D2(251,761) = 0.2485966921975892640 C1(251,761) = 0.9191884508991329241 C2(251,761) = 1.429058697387456459 C3(251,761) = 4.812558099903592126 C4(251,761) = 6088 Sum = 5186.265297683642662 Averaged sum = 0.5186783976081250787 logp*logq = 36.65935438725862853 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(251,761) = 0.7093279368042437617 D2(251,761) = 0.2485966921975892640 C1(251,761) = 0.9191884508991329241 C2(251,761) = 1.429058697387456459 C3(251,761) = 4.812558099903592126 C4(251,761) = 6088 Sum = 5186.265297683642662 Averaged sum = 0.5186783976081250787 logp*logq = 36.65935438725862853 -------------- ************************************* p = 251; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8831819332756708.868 -------------- Searches starting with [251,769]-exponents: u = 6, v = 74 n_start has 228 digits starting right neighbors generation We generated 3179 left neighbors We generated 6831 right neighbors We generated 10009 non-negative rho_i D1(251,769) = 0.5712749382168308057 D2(251,769) = 0.003623948619981299558 C1(251,769) = 0.7888310234767341730 C2(251,769) = 1.587298097263734930 C3(251,769) = 3.851259813754556241 C4(251,769) = 6152 Sum = 4043.157693980235786 Averaged sum = 0.4039522124068574070 logp*logq = 36.71713742825303579 -------------- ************************************* p = 251; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9088660341478380.693 -------------- Searches starting with [251,773]-exponents: u = 6, v = 54 n_start has 171 digits starting right neighbors generation We generated 1683 left neighbors We generated 8327 right neighbors We generated 10009 non-negative rho_i D1(251,773) = 0.5897607137609350767 D2(251,773) = 0.02376016272318377942 C1(251,773) = 0.7949687892351299915 C2(251,773) = 1.650859313901321309 C3(251,773) = 3.891878719937838811 C4(251,773) = 6184 Sum = 4055.468074876556580 Averaged sum = 0.4051821435584530502 logp*logq = 36.74580391506389409 -------------- ************************************* p = 251; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10036264458152735.60 -------------- Searches starting with [251,787]-exponents: u = 6, v = 29 n_start has 99 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(251,787) = 0.8352769073754620187 D2(251,787) = 0.04933629673799536818 C1(251,787) = 1.236874353961464874 C2(251,787) = 1.800663263736467439 C3(251,787) = 8.283536635469177193 C4(251,787) = 6296 Sum = 2961.713026439812549 Averaged sum = 0.2959049881546420770 logp*logq = 36.84498137401952779 -------------- ************************************* p = 251; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10761465301761621.97 -------------- Searches starting with [251,797]-exponents: u = 6, v = 19 n_start has 70 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(251,797) = 0.7169400395030055551 D2(251,797) = 0.01760501805246100494 C1(251,797) = 0.9675381745381537483 C2(251,797) = 1.865618306839772698 C3(251,797) = 5.227201811544183278 C4(251,797) = 6376 Sum = 4113.839762016644987 Averaged sum = 0.4110140635444744717 logp*logq = 36.91474812083372365 -------------- ************************************* p = 251; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11687798228725720.81 -------------- Searches starting with [251,809]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(251,809) = 0.6053671702531611921 D2(251,809) = 0.08184994937568463201 C1(251,809) = 0.8286366626433485798 C2(251,809) = 1.932353860102304008 C3(251,809) = 4.122429584109979122 C4(251,809) = 6472 Sum = 4152.114440322136939 Averaged sum = 0.4148380897514374002 logp*logq = 36.99732180609625855 -------------- ************************************* p = 251; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11848348748979070.21 -------------- Searches starting with [251,811]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(251,811) = 0.6830777015271969501 D2(251,811) = 0.09363479168032648865 C1(251,811) = 0.9996045175397289371 C2(251,811) = 1.944550147791887766 C3(251,811) = 5.521718862836167051 C4(251,811) = 6488 Sum = 3480.551303925641986 Averaged sum = 0.3477421624463624724 logp*logq = 37.01096490670454317 -------------- ************************************* p = 251; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12678444187381240.69 -------------- Searches starting with [251,821]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(251,821) = 0.9285035162523549003 D2(251,821) = 0.09652153395070594468 C1(251,821) = 1.488698400394001349 C2(251,821) = 1.220279777308291258 C3(251,821) = 12.73977863779422477 C4(251,821) = 6568 Sum = 3059.675887368748889 Averaged sum = 0.3056924655179087710 logp*logq = 37.07867963823567701 -------------- ************************************* p = 251; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12850043215164096.44 -------------- Searches starting with [251,823]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(251,823) = 0.6599564965412485213 D2(251,823) = 0.1234379437085458258 C1(251,823) = 1.058128659217228000 C2(251,823) = 1.438761853381509062 C3(251,823) = 6.102681913808137080 C4(251,823) = 6584 Sum = 4051.167505295343414 Averaged sum = 0.4047524733035611364 logp*logq = 37.09212356929404864 -------------- ************************************* p = 251; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13198950273843828.57 -------------- Searches starting with [251,827]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(251,827) = 0.5984698269325022600 D2(251,827) = 0.1217176085280090795 C1(251,827) = 0.8463424218896388867 C2(251,827) = 1.896472118975829548 C3(251,827) = 4.249104706940953882 C4(251,827) = 6616 Sum = 4135.402728172385101 Averaged sum = 0.4131684212381241983 logp*logq = 37.11891369663195226 -------------- ************************************* p = 251; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13376291018804483.67 -------------- Searches starting with [251,829]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(251,829) = 1.067776143689496166 D2(251,829) = 0.1148982708095727500 C1(251,829) = 1.547256373922678738 C2(251,829) = 1.890091395532105263 C3(251,829) = 14.08099813039543318 C4(251,829) = 6632 Sum = 4947.458120133411311 Averaged sum = 0.4943009411662914688 logp*logq = 37.13226020780496829 -------------- ************************************* p = 251; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14292530240632500.54 -------------- Searches starting with [251,839]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(251,839) = 0.8539974900945551843 D2(251,839) = 0.07748315139828044884 C1(251,839) = 1.167026904968734910 C2(251,839) = 1.735857661599858981 C3(251,839) = 7.351285580187841700 C4(251,839) = 6712 Sum = 4413.552229466656332 Averaged sum = 0.4409583604222855761 logp*logq = 37.19851343490368757 -------------- ************************************* p = 251; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15661052257502193.40 -------------- Searches starting with [251,853]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(251,853) = 0.7719251738738814863 D2(251,853) = 0.02857647334067165644 C1(251,853) = 1.322355718306817829 C2(251,853) = 2.034055200117897141 C3(251,853) = 9.586816549773665447 C4(251,853) = 6824 Sum = 4102.079552371426609 Averaged sum = 0.4098391000471002706 logp*logq = 37.28995327718158622 -------------- ************************************* p = 251; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16071170290544402.23 -------------- Searches starting with [251,857]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(251,857) = 1.691932067598407753 D2(251,857) = 0.01987231802532519489 C1(251,857) = 2.898043890117275779 C2(251,857) = 1.076243908998299273 C3(251,857) = 141.7146378883185132 C4(251,857) = 6856 Sum = 3120.657564692712592 Averaged sum = 0.3117851498344202809 logp*logq = 37.31580339656013939 -------------- ************************************* p = 251; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16279503314349269.22 -------------- Searches starting with [251,859]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(251,859) = 0.9272719463180547291 D2(251,859) = 0.02505352080781305759 C1(251,859) = 1.588287644620751433 C2(251,859) = 1.211236987554824833 C3(251,859) = 15.10406126170517902 C4(251,859) = 6872 Sum = 3951.778255456774314 Averaged sum = 0.3948224853088994219 logp*logq = 37.32868324607306704 -------------- ************************************* p = 251; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16702807677388905.44 -------------- Searches starting with [251,863]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(251,863) = 0.6970558751097860048 D2(251,863) = 0.02071600741161858392 C1(251,863) = 0.9536080025159611776 C2(251,863) = 2.064799442333342793 C3(251,863) = 5.104203198186549141 C4(251,863) = 6904 Sum = 3963.814075254734223 Averaged sum = 0.3960249850389383777 logp*logq = 37.35435322459661776 -------------- ************************************* p = 251; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18256005294597831.47 -------------- Searches starting with [251,877]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(251,877) = 1.317620448050053008 D2(251,877) = 0.07181883059079995860 C1(251,877) = 1.857171387307795380 C2(251,877) = 1.747162688446306515 C3(251,877) = 23.91687279232879161 C4(251,877) = 7016 Sum = 5346.295833350038868 Averaged sum = 0.5341488493705703735 logp*logq = 37.44327047804996379 -------------- ************************************* p = 251; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18720859711234588.25 -------------- Searches starting with [251,881]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(251,881) = 1.104682413758764862 D2(251,881) = 0.08040407538938521717 C1(251,881) = 1.677623670482379730 C2(251,881) = 1.756455474714566553 C3(251,881) = 17.59599925668790298 C4(251,881) = 7048 Sum = 3661.354583094429677 Averaged sum = 0.3658062327000129560 logp*logq = 37.46841478965105982 -------------- ************************************* p = 251; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18956896028604160.12 -------------- Searches starting with [251,883]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(251,883) = 0.7702409670475159315 D2(251,883) = 0.09113754765061801714 C1(251,883) = 1.032658684610835743 C2(251,883) = 1.893445067092110696 C3(251,883) = 5.842687291822026917 C4(251,883) = 7064 Sum = 4158.252239292047726 Averaged sum = 0.4154513177432358603 logp*logq = 37.48094416676384839 -------------- ************************************* p = 251; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19436283698071251.02 -------------- Searches starting with [251,887]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(251,887) = 0.7141907713328118585 D2(251,887) = 0.1006981889883487904 C1(251,887) = 1.038778674224831839 C2(251,887) = 1.903779338403784471 C3(251,887) = 5.904130207252169226 C4(251,887) = 7096 Sum = 3938.641510398527023 Averaged sum = 0.3935099920470103929 logp*logq = 37.50591800787339760 -------------- ************************************* p = 251; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21984666255972678.47 -------------- Searches starting with [251,907]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(251,907) = 0.7651225154874620739 D2(251,907) = 0.08717153623193727051 C1(251,907) = 1.094541192431194772 C2(251,907) = 2.003957284894232487 C3(251,907) = 6.494597325273464406 C4(251,907) = 7256 Sum = 3743.166590768512531 Averaged sum = 0.3739800770075444630 logp*logq = 37.62912161689480947 -------------- ************************************* p = 251; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22525763207222313.95 -------------- Searches starting with [251,911]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(251,911) = 0.9784124347015853280 D2(251,911) = 0.06643752787431513975 C1(251,911) = 1.441584577600759522 C2(251,911) = 1.984119274460985107 C3(251,911) = 11.75401100388664501 C4(251,911) = 7288 Sum = 3979.939964849013777 Averaged sum = 0.3976361239733253848 logp*logq = 37.65343608050465870 -------------- ************************************* p = 251; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23640703817218033.03 -------------- Searches starting with [251,919]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(251,919) = 0.6803084812664793637 D2(251,919) = 0.02833546302208171380 C1(251,919) = 1.062313521119002146 C2(251,919) = 1.947797336690909570 C3(251,919) = 6.146493704979934698 C4(251,919) = 7352 Sum = 4077.145076746827706 Averaged sum = 0.4073478945695701575 logp*logq = 37.70174635930734378 -------------- ************************************* p = 251; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25097539722620272.33 -------------- Searches starting with [251,929]-exponents: u = 21, v = 4 n_start has 63 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(251,929) = 1.576606773014711195 D2(251,929) = 0.1238355630216448638 C1(251,929) = 2.276579212806093204 C2(251,929) = 1.952149536931022175 C3(251,929) = 48.98456928673568936 C4(251,929) = 7432 Sum = 5794.372870559644217 Averaged sum = 0.5789162624197866137 logp*logq = 37.76154621722513282 -------------- ************************************* p = 251; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26315235248619783.61 -------------- Searches starting with [251,937]-exponents: u = 26, v = 4 n_start has 75 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(251,937) = 0.6738573012060034549 D2(251,937) = 0.06478588567064377961 C1(251,937) = 1.027397542620710750 C2(251,937) = 1.894784943844644090 C3(251,937) = 5.790378324997971677 C4(251,937) = 7496 Sum = 3824.198836154885390 Averaged sum = 0.3820760152018069128 logp*logq = 37.80892445339221177 -------------- ************************************* p = 251; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26941980938627376.56 -------------- Searches starting with [251,941]-exponents: u = 26, v = 4 n_start has 75 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(251,941) = 0.8267071692559189817 D2(251,941) = 0.03880624998342605899 C1(251,941) = 1.176231425052806964 C2(251,941) = 1.869642417694145097 C3(251,941) = 7.467864588872971803 C4(251,941) = 7528 Sum = 4409.906890264314177 Averaged sum = 0.4405941542875726023 logp*logq = 37.83246209469023992 -------------- ************************************* p = 251; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27904981528099465.00 -------------- Searches starting with [251,947]-exponents: u = 31, v = 4 n_start has 87 digits starting right neighbors generation We generated 394 left neighbors We generated 9616 right neighbors We generated 10009 non-negative rho_i D1(251,947) = 0.8505645992514100314 D2(251,947) = 0.003090568325550746240 C1(251,947) = 1.137042580033494332 C2(251,947) = 1.835175696279152252 C3(251,947) = 6.983994594058115708 C4(251,947) = 7576 Sum = 4097.848964505593469 Averaged sum = 0.4094164216710553970 logp*logq = 37.86758161719420529 -------------- ************************************* p = 251; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28895993023438429.70 -------------- Searches starting with [251,953]-exponents: u = 36, v = 4 n_start has 99 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(251,953) = 0.8263259146357898911 D2(251,953) = 0.04798710989169532514 C1(251,953) = 1.220489530458049675 C2(251,953) = 1.812119786527805477 C3(251,953) = 8.054753061360805813 C4(251,953) = 7624 Sum = 2842.650724990592111 Averaged sum = 0.2840094639814758828 logp*logq = 37.90247933070829961 -------------- ************************************* p = 251; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31320846116355540.48 -------------- Searches starting with [251,967]-exponents: u = 51, v = 4 n_start has 135 digits starting right neighbors generation We generated 820 left neighbors We generated 9190 right neighbors We generated 10009 non-negative rho_i D1(251,967) = 0.9464722321825740813 D2(251,967) = 0.05088122833972156925 C1(251,967) = 1.266044844370249139 C2(251,967) = 1.719456555072883814 C3(251,967) = 8.707049883550668430 C4(251,967) = 7736 Sum = 4165.475924971006950 Averaged sum = 0.4161730367640130832 logp*logq = 37.98306028087769186 -------------- ************************************* p = 251; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32043450362463585.32 -------------- Searches starting with [251,971]-exponents: u = 56, v = 4 n_start has 147 digits starting right neighbors generation We generated 1059 left neighbors We generated 8951 right neighbors We generated 10009 non-negative rho_i D1(251,971) = 0.7245797604729203823 D2(251,971) = 0.009065190852676570781 C1(251,971) = 1.025874464653347483 C2(251,971) = 1.678391794257617417 C3(251,971) = 5.775322702367186631 C4(251,971) = 7768 Sum = 4580.504661831160958 Averaged sum = 0.4576385914508103665 logp*logq = 38.00586920052824413 -------------- ************************************* p = 251; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33152913827438270.23 -------------- Searches starting with [251,977]-exponents: u = 76, v = 4 n_start has 195 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(251,977) = 0.6522995505397626966 D2(251,977) = 0.01783573468705403223 C1(251,977) = 0.9097659147086489877 C2(251,977) = 1.619732412845691939 C3(251,977) = 4.735665266523264574 C4(251,977) = 7816 Sum = 3757.715205150704115 Averaged sum = 0.3754336302478473489 logp*logq = 38.03990700594332865 -------------- ************************************* p = 251; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34293643641172131.27 -------------- Searches starting with [251,983]-exponents: u = 106, v = 4 n_start has 267 digits starting right neighbors generation We generated 3599 left neighbors We generated 6411 right neighbors We generated 10009 non-negative rho_i D1(251,983) = 0.8756709736341788202 D2(251,983) = 0.01431819927856252947 C1(251,983) = 1.196644718496895602 C2(251,983) = 1.543948194593715426 C3(251,983) = 7.733046256063349279 C4(251,983) = 7864 Sum = 4248.366821928091594 Averaged sum = 0.4244546729871207507 logp*logq = 38.07373641532543679 -------------- ************************************* p = 251; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35864433891786749.54 -------------- Searches starting with [251,991]-exponents: u = 211, v = 4 n_start has 519 digits --- performed 5000 steps in the continued fraction search [251,991]-exponents: u = 18, v = 133 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(251,991) = 0.6233135745199699306 D2(251,991) = 0.07775571336565497698 C1(251,991) = 0.8223978030896093215 C2(251,991) = 1.415462440310324198 C3(251,991) = 4.078699570447181808 C4(251,991) = 7928 Sum = 4863.401503410207837 Averaged sum = 0.4863887892199427779 logp*logq = 38.11852249994478795 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(251,991) = 0.6233135745199699306 D2(251,991) = 0.07775571336565497698 C1(251,991) = 0.8223978030896093215 C2(251,991) = 1.415462440310324198 C3(251,991) = 4.078699570447181808 C4(251,991) = 7928 Sum = 4863.401503410207837 Averaged sum = 0.4863887892199427779 logp*logq = 38.11852249994478795 -------------- ************************************* p = 251; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37080789821672315.97 -------------- Searches starting with [251,997]-exponents: u = 831, v = 4 n_start has 2007 digits --- performed 5000 steps in the continued fraction search [251,997]-exponents: u = 696, v = 106 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(251,997) = 0.5741001830574153363 D2(251,997) = 0.4042869529163330604 C1(251,997) = 0.7200768198712050559 C2(251,997) = 1.470883887822847830 C3(251,997) = 3.424221937862308716 C4(251,997) = 7976 Sum = 5679.507234086138824 Averaged sum = 0.5680075241610299854 logp*logq = 38.15187543585808741 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(251,997) = 0.5741001830574153363 D2(251,997) = 0.4042869529163330604 C1(251,997) = 0.7200768198712050559 C2(251,997) = 1.470883887822847830 C3(251,997) = 3.424221937862308716 C4(251,997) = 7976 Sum = 5679.507234086138824 Averaged sum = 0.5680075241610299854 logp*logq = 38.15187543585808741 -------------- ************************************* p = 257; q = 263; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26823693033738.04929 -------------- Searches starting with [257,263]-exponents: u = 1, v = 240 n_start has 584 digits --- performed 5000 steps in the continued fraction search [257,263]-exponents: u = 170, v = 50 --- starting right neighbors generation We generated 7036 left neighbors We generated 2974 right neighbors We generated 10009 non-negative rho_i D1(257,263) = 0.6339961834145226611 D2(257,263) = 0.003850434780842992165 C1(257,263) = 0.8320777794023575477 C2(257,263) = 1.086168028693560220 C3(257,263) = 4.161496085530715259 C4(257,263) = 2104 Sum = 5240.406225030662766 Averaged sum = 0.5235694100340356445 logp*logq = 30.92030668131010232 -------------- ************************************* p = 257; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30400467984211.17156 -------------- Searches starting with [257,269]-exponents: u = 1, v = 121 n_start has 297 digits starting right neighbors generation We generated 1847 left neighbors We generated 8163 right neighbors We generated 10009 non-negative rho_i D1(257,269) = 0.6105832028549680329 D2(257,269) = 0.008577046999128513169 C1(257,269) = 0.8280134793228646587 C2(257,269) = 1.208666530216024796 C3(257,269) = 4.132613159493651271 C4(257,269) = 2152 Sum = 4919.102406243936033 Averaged sum = 0.4914679194968464414 logp*logq = 31.04547911843970722 -------------- ************************************* p = 257; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31676100140925.75174 -------------- Searches starting with [257,271]-exponents: u = 1, v = 104 n_start has 256 digits starting right neighbors generation We generated 1392 left neighbors We generated 8618 right neighbors We generated 10009 non-negative rho_i D1(257,271) = 0.6086570394226400389 D2(257,271) = 0.007781659509703357396 C1(257,271) = 0.8323146919689243029 C2(257,271) = 1.237828449714414174 C3(257,271) = 4.163185916133637230 C4(257,271) = 2168 Sum = 4859.569923163768492 Averaged sum = 0.4855200242945117886 logp*logq = 31.08658357368495579 -------------- ************************************* p = 257; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35768940344352.77184 -------------- Searches starting with [257,277]-exponents: u = 1, v = 74 n_start has 184 digits starting right neighbors generation We generated 780 left neighbors We generated 9230 right neighbors We generated 10009 non-negative rho_i D1(257,277) = 0.9416291780786471414 D2(257,277) = 0.005212894251553537400 C1(257,277) = 1.315366959762568115 C2(257,277) = 1.310566754352747749 C3(257,277) = 9.526278911768380171 C4(257,277) = 2216 Sum = 3966.119871110923044 Averaged sum = 0.3962553572895317259 logp*logq = 31.20810104461621391 -------------- ************************************* p = 257; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38730908008459.24452 -------------- Searches starting with [257,281]-exponents: u = 1, v = 62 n_start has 155 digits starting right neighbors generation We generated 539 left neighbors We generated 9471 right neighbors We generated 10009 non-negative rho_i D1(257,281) = 0.7300832237634526377 D2(257,281) = 0.01950803673755760333 C1(257,281) = 1.032053971614215725 C2(257,281) = 1.364792411449337497 C3(257,281) = 5.862406215757545643 C4(257,281) = 2248 Sum = 3676.107170441291830 Averaged sum = 0.3672801648957230323 logp*logq = 31.28765905375718357 -------------- ************************************* p = 257; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40285566455407.83647 -------------- Searches starting with [257,283]-exponents: u = 1, v = 57 n_start has 143 digits starting right neighbors generation We generated 443 left neighbors We generated 9567 right neighbors We generated 10009 non-negative rho_i D1(257,283) = 0.6421756991376700755 D2(257,283) = 0.02148512875165617182 C1(257,283) = 0.8732588147264174639 C2(257,283) = 1.385661679103388005 C3(257,283) = 4.465779425782775152 C4(257,283) = 2264 Sum = 4636.784632583453309 Averaged sum = 0.4632615278832504055 logp*logq = 31.32701436825800170 -------------- ************************************* p = 257; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48846799861022.44781 -------------- Searches starting with [257,293]-exponents: u = 1, v = 42 n_start has 107 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(257,293) = 0.9418623020864918834 D2(257,293) = 0.05016094829611738288 C1(257,293) = 1.273448009796885932 C2(257,293) = 1.493926189895559745 C3(257,293) = 8.865971752278309182 C4(257,293) = 2344 Sum = 4516.957303173097645 Averaged sum = 0.4512895697045756464 logp*logq = 31.51970998277349391 -------------- ************************************* p = 257; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63287811675730.95265 -------------- Searches starting with [257,307]-exponents: u = 1, v = 31 n_start has 80 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(257,307) = 0.6381463498797371424 D2(257,307) = 0.05125464763709672513 C1(257,307) = 0.8533527580750270495 C2(257,307) = 1.588721812922797401 C3(257,307) = 4.316013252579497627 C4(257,307) = 2456 Sum = 4171.708965509334283 Averaged sum = 0.4167957803486196706 logp*logq = 31.77871387797217191 -------------- ************************************* p = 257; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68001275700141.18904 -------------- Searches starting with [257,311]-exponents: u = 1, v = 29 n_start has 75 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(257,311) = 0.7805603979735046945 D2(257,311) = 0.04338942326037217063 C1(257,311) = 1.173844261871008898 C2(257,311) = 1.605511834089256783 C3(257,311) = 7.474793070276161085 C4(257,311) = 2488 Sum = 2908.499653027072833 Averaged sum = 0.2905884357105677723 logp*logq = 31.85054758122487671 -------------- ************************************* p = 257; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70463693238899.95752 -------------- Searches starting with [257,313]-exponents: u = 1, v = 28 n_start has 73 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(257,313) = 0.6904480649938468748 D2(257,313) = 0.03022229711958985780 C1(257,313) = 1.041839220640476938 C2(257,313) = 1.605618051413913240 C3(257,313) = 5.961537673665655561 C4(257,313) = 2504 Sum = 3904.912428533552219 Averaged sum = 0.3901401167482817683 logp*logq = 31.88611870357497412 -------------- ************************************* p = 257; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75608067673860.85730 -------------- Searches starting with [257,317]-exponents: u = 1, v = 26 n_start has 68 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(257,317) = 0.6603896685804970309 D2(257,317) = 0.08103216103849997031 C1(257,317) = 0.9427880737570328751 C2(257,317) = 1.671346705226969613 C3(257,317) = 5.030861727346809723 C4(257,317) = 2536 Sum = 4139.170825973717640 Averaged sum = 0.4135448921943968069 logp*logq = 31.95658410868307669 -------------- ************************************* p = 257; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96098643714826.37927 -------------- Searches starting with [257,331]-exponents: u = 1, v = 21 n_start has 56 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(257,331) = 0.8283081180919655929 D2(257,331) = 0.09738008824208422510 C1(257,331) = 1.281000656385828743 C2(257,331) = 1.755275318136446332 C3(257,331) = 8.981464942477954577 C4(257,331) = 2648 Sum = 4011.553433173703586 Averaged sum = 0.4007946281520335284 logp*logq = 32.19639631853596547 -------------- ************************************* p = 257; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106172155482157.3694 -------------- Searches starting with [257,337]-exponents: u = 1, v = 20 n_start has 53 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(257,337) = 0.7902341515643514188 D2(257,337) = 0.009650783647983564657 C1(257,337) = 1.150270854629952897 C2(257,337) = 1.707857415750218557 C3(257,337) = 7.178857904106230595 C4(257,337) = 2696 Sum = 4111.029379792371198 Averaged sum = 0.4107332780290110099 logp*logq = 32.29608300092518161 -------------- ************************************* p = 257; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124876735311376.3981 -------------- Searches starting with [257,347]-exponents: u = 1, v = 18 n_start has 49 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(257,347) = 0.8368373427115509466 D2(257,347) = 0.1259617442604022147 C1(257,347) = 1.228268120031684170 C2(257,347) = 1.849779137265713012 C3(257,347) = 8.205452485595512418 C4(257,347) = 2776 Sum = 4079.578304195999424 Averaged sum = 0.4075909985209311044 logp*logq = 32.45834824918811049 -------------- ************************************* p = 257; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128923404301205.2607 -------------- Searches starting with [257,349]-exponents: u = 1, v = 18 n_start has 49 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(257,349) = 0.6805664269288828687 D2(257,349) = 0.01799077715406183261 C1(257,349) = 1.076701201878376941 C2(257,349) = 1.765720617379375118 C3(257,349) = 6.328536659160833629 C4(257,349) = 2792 Sum = 4108.355179385044374 Averaged sum = 0.4104660984498995278 logp*logq = 32.49023957883497348 -------------- ************************************* p = 257; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 137339571281389.6715 -------------- Searches starting with [257,353]-exponents: u = 1, v = 17 n_start has 46 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(257,353) = 0.8535455320813433266 D2(257,353) = 0.1120011141359376616 C1(257,353) = 1.258612192953870196 C2(257,353) = 1.861491850802870064 C3(257,353) = 8.643412136190005061 C4(257,353) = 2824 Sum = 4036.795040203222210 Averaged sum = 0.4033165191530844450 logp*logq = 32.55347759753028583 -------------- ************************************* p = 257; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150804221582418.0271 -------------- Searches starting with [257,359]-exponents: u = 1, v = 16 n_start has 44 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(257,359) = 0.9415047926273907891 D2(257,359) = 0.07704396883463642462 C1(257,359) = 1.301851679727067439 C2(257,359) = 1.854378460131638204 C3(257,359) = 9.308183617801024666 C4(257,359) = 2872 Sum = 4833.962968148453413 Averaged sum = 0.4829616313466333712 logp*logq = 32.64700356568893189 -------------- ************************************* p = 257; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 170422574957248.1839 -------------- Searches starting with [257,367]-exponents: u = 1, v = 15 n_start has 41 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(257,367) = 0.7386782176833604768 D2(257,367) = 0.06439068947555858253 C1(257,367) = 1.004966567653602789 C2(257,367) = 1.872986747004340539 C3(257,367) = 5.596505075226400511 C4(257,367) = 2936 Sum = 4389.484508080984884 Averaged sum = 0.4385537524309106688 logp*logq = 32.76930220369225466 -------------- ************************************* p = 257; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 186469572818711.4718 -------------- Searches starting with [257,373]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(257,373) = 0.7219603542398319751 D2(257,373) = 0.1366169769880975637 C1(257,373) = 1.168176539674037642 C2(257,373) = 1.318552916444976020 C3(257,373) = 7.402546399226277162 C4(257,373) = 2984 Sum = 4336.532884953853112 Averaged sum = 0.4332633514790541624 logp*logq = 32.85928919327712686 -------------- ************************************* p = 257; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 203734778563574.4886 -------------- Searches starting with [257,379]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(257,379) = 0.9392509452784026922 D2(257,379) = 0.1000990834803334895 C1(257,379) = 1.283695394121542082 C2(257,379) = 1.944675328945918334 C3(257,379) = 9.023035345116987253 C4(257,379) = 3032 Sum = 4625.065000773704474 Averaged sum = 0.4620906185207018157 logp*logq = 32.94784015882241126 -------------- ************************************* p = 257; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 215956628740337.8796 -------------- Searches starting with [257,383]-exponents: u = 1, v = 13 n_start has 36 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(257,383) = 1.033297007721480898 D2(257,383) = 0.1216997255960360530 C1(257,383) = 1.380500266306740164 C2(257,383) = 1.302081763849626877 C3(257,383) = 10.65115847263965727 C4(257,383) = 3064 Sum = 4478.363601546745144 Averaged sum = 0.4474336698518078873 logp*logq = 33.00609871058232010 -------------- ************************************* p = 257; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 235411347799606.3210 -------------- Searches starting with [257,389]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(257,389) = 0.6049028512938302265 D2(257,389) = 0.05902302204663479343 C1(257,389) = 0.8472833684806116121 C2(257,389) = 1.942379749194572647 C3(257,389) = 4.271356341211046911 C4(257,389) = 3112 Sum = 4326.864491650934645 Averaged sum = 0.4322973815217239129 logp*logq = 33.09235551604825264 -------------- ************************************* p = 257; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 263564097526421.0817 -------------- Searches starting with [257,397]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(257,397) = 0.6964472374354209644 D2(257,397) = 0.1232873910247665786 C1(257,397) = 0.9942692099038678640 C2(257,397) = 1.759865796682290494 C3(257,397) = 5.494848300280190106 C4(257,397) = 3176 Sum = 3816.994959356409756 Averaged sum = 0.3813562752878818819 logp*logq = 33.20531770869813764 -------------- ************************************* p = 257; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278641746539107.1411 -------------- Searches starting with [257,401]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(257,401) = 0.7422868572949909824 D2(257,401) = 0.01840825041398004910 C1(257,401) = 1.128230139649710784 C2(257,401) = 1.945856759344557072 C3(257,401) = 6.912771494244980552 C4(257,401) = 3208 Sum = 3697.350103336803357 Averaged sum = 0.3694025480404439361 logp*logq = 33.26094801005130055 -------------- ************************************* p = 257; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 310921925682288.9095 -------------- Searches starting with [257,409]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(257,409) = 0.8446235482751630828 D2(257,409) = 0.08362941509635731964 C1(257,409) = 1.408912845203190779 C2(257,409) = 1.214641465887209973 C3(257,409) = 11.18258157947463172 C4(257,409) = 3272 Sum = 4185.673968376722134 Averaged sum = 0.4181910249152484897 logp*logq = 33.37056295376903612 -------------- ************************************* p = 257; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 355520889883466.5570 -------------- Searches starting with [257,419]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(257,419) = 0.6675218289669525146 D2(257,419) = 0.01587513214257290410 C1(257,419) = 0.9843193700311334099 C2(257,419) = 1.995400108411667084 C3(257,419) = 5.401953363567642662 C4(257,419) = 3352 Sum = 3830.167206031681658 Averaged sum = 0.3826723155192008850 logp*logq = 33.50460512542423521 -------------- ************************************* p = 257; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365040472596363.7822 -------------- Searches starting with [257,421]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(257,421) = 0.7635211124776058915 D2(257,421) = 0.04051581423470228906 C1(257,421) = 1.099711811249093125 C2(257,421) = 2.020821331078387688 C3(257,421) = 6.583066944123022099 C4(257,421) = 3368 Sum = 3675.148977270726768 Averaged sum = 0.3671844317385080196 logp*logq = 33.53102934718953692 -------------- ************************************* p = 257; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 415829040416082.6524 -------------- Searches starting with [257,431]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(257,431) = 0.5938681890689314087 D2(257,431) = 0.08210208512378460673 C1(257,431) = 0.8581882377761597422 C2(257,431) = 1.796796875252806146 C3(257,431) = 4.351925313635488256 C4(257,431) = 3448 Sum = 4215.505711272513519 Averaged sum = 0.4211715167621654030 logp*logq = 33.66129533118412399 -------------- ************************************* p = 257; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 426650180566260.7510 -------------- Searches starting with [257,433]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(257,433) = 0.7941449310413917677 D2(257,433) = 0.07969022167136756484 C1(257,433) = 1.074620070721412149 C2(257,433) = 1.795229478995984617 C3(257,433) = 6.306007447598777004 C4(257,433) = 3464 Sum = 4253.829525027920969 Averaged sum = 0.4250004520959057817 logp*logq = 33.68698554412975810 -------------- ************************************* p = 257; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 460507464779558.6705 -------------- Searches starting with [257,439]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(257,439) = 0.9861155422767511108 D2(257,439) = 0.06667690315201517338 C1(257,439) = 1.336100958987038544 C2(257,439) = 1.644174947952281660 C3(257,439) = 9.870836621692919343 C4(257,439) = 3512 Sum = 4427.623497873365695 Averaged sum = 0.4423642219875477765 logp*logq = 33.76335018165443457 -------------- ************************************* p = 257; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 484278990194846.9035 -------------- Searches starting with [257,443]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(257,443) = 0.6492877814705690467 D2(257,443) = 0.02275032450517325127 C1(257,443) = 0.9256959174991658139 C2(257,443) = 2.063728147694776310 C3(257,443) = 4.885646548696486462 C4(257,443) = 3544 Sum = 3592.800323987831230 Averaged sum = 0.3589569711247708293 logp*logq = 33.81368228259792607 -------------- ************************************* p = 257; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 521815219900226.0878 -------------- Searches starting with [257,449]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(257,449) = 0.8459979717016105523 D2(257,449) = 0.05171919269612510100 C1(257,449) = 1.450581808711838084 C2(257,449) = 1.214402470772808795 C3(257,449) = 12.01027577126715065 C4(257,449) = 3592 Sum = 4254.045899670897241 Averaged sum = 0.4250220701039961276 logp*logq = 33.88833465627828786 -------------- ************************************* p = 257; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 575542466489090.9915 -------------- Searches starting with [257,457]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(257,457) = 0.5927029722137875013 D2(257,457) = 0.05393734236345410140 C1(257,457) = 0.8857646704675343214 C2(257,457) = 1.818616545533287631 C3(257,457) = 4.562515837590082867 C4(257,457) = 3656 Sum = 4189.397691731579294 Averaged sum = 0.4185630624169826450 logp*logq = 33.98633413196599250 -------------- ************************************* p = 257; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 604058642592810.9605 -------------- Searches starting with [257,461]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(257,461) = 1.161849276255016602 D2(257,461) = 0.04550430181830623317 C1(257,461) = 1.815804532689167907 C2(257,461) = 1.663645349953385957 C3(257,461) = 22.45739011372364078 C4(257,461) = 3688 Sum = 3681.717003768327657 Averaged sum = 0.3678406437974150921 logp*logq = 34.03469239953584535 -------------- ************************************* p = 257; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 618745038655224.6303 -------------- Searches starting with [257,463]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(257,463) = 0.8158315458951103643 D2(257,463) = 0.04358022616096430292 C1(257,463) = 1.141678837584392726 C2(257,463) = 1.662505188299004313 C3(257,463) = 7.073933948802884667 C4(257,463) = 3704 Sum = 4722.529050575689991 Averaged sum = 0.4718282596239074824 logp*logq = 34.05871441144431075 -------------- ************************************* p = 257; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 648996664790839.1291 -------------- Searches starting with [257,467]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(257,467) = 0.6347304605981767751 D2(257,467) = 0.03758516763434660260 C1(257,467) = 0.8890659870211084767 C2(257,467) = 1.568353042236942856 C3(257,467) = 4.588400232075659568 C4(257,467) = 3736 Sum = 4140.238444302939476 Averaged sum = 0.4136515580280686858 logp*logq = 34.10644869362226730 -------------- ************************************* p = 257; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 747111974103849.4284 -------------- Searches starting with [257,479]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(257,479) = 0.7174268715062325006 D2(257,479) = 0.03228807000693126787 C1(257,479) = 1.251350785371174669 C2(257,479) = 1.852068228731126975 C3(257,479) = 8.536525301739302813 C4(257,479) = 3832 Sum = 4087.954945532186183 Averaged sum = 0.4084279094347273636 logp*logq = 34.24723618822645062 -------------- ************************************* p = 257; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 819035424670946.1588 -------------- Searches starting with [257,487]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(257,487) = 0.7418510920137669005 D2(257,487) = 0.02447349990954524323 C1(257,487) = 0.9789691817934606960 C2(257,487) = 1.847406572215244686 C3(257,487) = 5.352653243648162415 C4(257,487) = 3896 Sum = 3699.717142132247841 Averaged sum = 0.3696390390780545350 logp*logq = 34.33914845241268793 -------------- ************************************* p = 257; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 857069322454953.5202 -------------- Searches starting with [257,491]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(257,491) = 1.104274936159783417 D2(257,491) = 0.02066908459407016233 C1(257,491) = 1.554324958491647182 C2(257,491) = 1.845158835238878084 C3(257,491) = 14.34698938242927192 C4(257,491) = 3928 Sum = 5429.146768148799575 Averaged sum = 0.5424264929712058722 logp*logq = 34.38453992093399327 -------------- ************************************* p = 257; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 937486909812545.4836 -------------- Searches starting with [257,499]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(257,499) = 0.8366188244877982430 D2(257,499) = 0.01211138577647840538 C1(257,499) = 1.145947876271978523 C2(257,499) = 1.682063641216375097 C3(257,499) = 7.125873481154151302 C4(257,499) = 3992 Sum = 4374.056041624069032 Averaged sum = 0.4370122930986181469 logp*logq = 34.47422391080901421 -------------- ************************************* p = 257; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 979955371072978.0073 -------------- Searches starting with [257,503]-exponents: u = 1, v = 8 n_start has 25 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(257,503) = 0.6191573781878891288 D2(257,503) = 0.008309185628700308603 C1(257,503) = 0.9130049788766562883 C2(257,503) = 1.584882858289820980 C3(257,503) = 4.780542525656780039 C4(257,503) = 4024 Sum = 4128.313053992528570 Averaged sum = 0.4124600913170674962 logp*logq = 34.51852814683475020 -------------- ************************************* p = 257; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1046605263497027.289 -------------- Searches starting with [257,509]-exponents: u = 1, v = 8 n_start has 25 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(257,509) = 0.6288938047187938888 D2(257,509) = 0.003224026216651397114 C1(257,509) = 1.119740207087743823 C2(257,509) = 1.367185619032184564 C3(257,509) = 6.812928291788561269 C4(257,509) = 4072 Sum = 3706.897994127805361 Averaged sum = 0.3703564785820566851 logp*logq = 34.58432823899315279 -------------- ************************************* p = 257; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1191075350393488.079 -------------- Searches starting with [257,521]-exponents: u = 9, v = 47 n_start has 150 digits starting right neighbors generation We generated 1021 left neighbors We generated 8989 right neighbors We generated 10009 non-negative rho_i D1(257,521) = 0.6398946165034583983 D2(257,521) = 0.03284618505121190141 C1(257,521) = 0.9055858764815305273 C2(257,521) = 1.468870898155890028 C3(257,521) = 4.720149307363883589 C4(257,521) = 4168 Sum = 4385.522338211622458 Averaged sum = 0.4381578917186154918 logp*logq = 34.71363294977588108 -------------- ************************************* p = 257; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1216669744665791.934 -------------- Searches starting with [257,523]-exponents: u = 9, v = 39 n_start has 128 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(257,523) = 0.7009900595773426605 D2(257,523) = 0.04447777715704894299 C1(257,523) = 0.9310970440095383979 C2(257,523) = 1.522665900769864458 C3(257,523) = 4.931075758431869129 C4(257,523) = 4184 Sum = 3991.518032418622996 Averaged sum = 0.3987928896411852329 logp*logq = 34.73489380369607035 -------------- ************************************* p = 257; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1467978108411413.597 -------------- Searches starting with [257,541]-exponents: u = 17, v = 7 n_start has 61 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(257,541) = 0.8963685524101499332 D2(257,541) = 0.1420915909436606456 C1(257,541) = 1.235257475741626323 C2(257,541) = 1.451473540536813251 C3(257,541) = 8.304321569080122745 C4(257,541) = 4328 Sum = 4302.628625125964836 Averaged sum = 0.4298759741358741968 logp*logq = 34.92266241246553126 -------------- ************************************* p = 257; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1560630151637150.362 -------------- Searches starting with [257,547]-exponents: u = 17, v = 7 n_start has 61 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(257,547) = 1.193243057836426306 D2(257,547) = 0.09260535240660172959 C1(257,547) = 1.573320722581978755 C2(257,547) = 1.824410997489984050 C3(257,547) = 14.82169313078906013 C4(257,547) = 4376 Sum = 3954.115576667330234 Averaged sum = 0.3950560072601988444 logp*logq = 34.98386607796612457 -------------- ************************************* p = 257; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1725676544252104.392 -------------- Searches starting with [257,557]-exponents: u = 41, v = 7 n_start has 119 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(257,557) = 0.5979624769758896273 D2(257,557) = 0.02307728836328611039 C1(257,557) = 0.8612635955681127473 C2(257,557) = 1.758317535096275491 C3(257,557) = 4.374920629547741974 C4(257,557) = 4456 Sum = 4209.530747229437874 Averaged sum = 0.4205745576210848110 logp*logq = 35.08439556807029924 -------------- ************************************* p = 257; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1831387961994386.357 -------------- Searches starting with [257,563]-exponents: u = 105, v = 7 n_start has 273 digits starting right neighbors generation We generated 5447 left neighbors We generated 4563 right neighbors We generated 10009 non-negative rho_i D1(257,563) = 0.7437397461396547913 D2(257,563) = 0.01114462998010214200 C1(257,563) = 1.017591631047794295 C2(257,563) = 1.647001173970402996 C3(257,563) = 5.718903063024123381 C4(257,563) = 4504 Sum = 4381.302320707984590 Averaged sum = 0.4377362694283129773 logp*logq = 35.14385052346404662 -------------- ************************************* p = 257; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1942350441561508.420 -------------- Searches starting with [257,569]-exponents: u = 8, v = 377 n_start has 1058 digits --- performed 5000 steps in the continued fraction search [257,569]-exponents: u = 317, v = 95 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(257,569) = 0.6068026139641161238 D2(257,569) = 0.3448551196246809786 C1(257,569) = 0.7782200465301277907 C2(257,569) = 1.433602507929990263 C3(257,569) = 3.794612665005979764 C4(257,569) = 4552 Sum = 5420.853012730660151 Averaged sum = 0.5421395152245884739 logp*logq = 35.20267520244512771 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(257,569) = 0.6068026139641161238 D2(257,569) = 0.3448551196246809786 C1(257,569) = 0.7782200465301277907 C2(257,569) = 1.433602507929990263 C3(257,569) = 3.794612665005979764 C4(257,569) = 4552 Sum = 5420.853012730660151 Averaged sum = 0.5421395152245884739 logp*logq = 35.20267520244512771 -------------- ************************************* p = 257; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1980539475389885.817 -------------- Searches starting with [257,571]-exponents: u = 8, v = 139 n_start has 403 digits --- performed 5000 steps in the continued fraction search [257,571]-exponents: u = 31, v = 83 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(257,571) = 0.6085236730143929333 D2(257,571) = 0.07768052154362331476 C1(257,571) = 0.8142464462564035777 C2(257,571) = 1.469505312052355478 C3(257,571) = 4.036259159593001695 C4(257,571) = 4568 Sum = 4768.633574252205168 Averaged sum = 0.4769110485300735242 logp*logq = 35.22214566482413665 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(257,571) = 0.6085236730143929333 D2(257,571) = 0.07768052154362331476 C1(257,571) = 0.8142464462564035777 C2(257,571) = 1.469505312052355478 C3(257,571) = 4.036259159593001695 C4(257,571) = 4568 Sum = 4768.633574252205168 Averaged sum = 0.4769110485300735242 logp*logq = 35.22214566482413665 -------------- ************************************* p = 257; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2098817472320400.082 -------------- Searches starting with [257,577]-exponents: u = 8, v = 48 n_start has 152 digits starting right neighbors generation We generated 1582 left neighbors We generated 8428 right neighbors We generated 10009 non-negative rho_i D1(257,577) = 0.6592562148358422464 D2(257,577) = 0.04558507617104790083 C1(257,577) = 0.9411751737030215316 C2(257,577) = 1.708780092391158325 C3(257,577) = 5.016976045155648139 C4(257,577) = 4616 Sum = 3566.018660620539437 Averaged sum = 0.3562812129703806011 logp*logq = 35.28015047261611574 -------------- ************************************* p = 257; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2308784910594598.694 -------------- Searches starting with [257,587]-exponents: u = 8, v = 20 n_start has 75 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(257,587) = 0.6523631258695957569 D2(257,587) = 0.04150842596987302834 C1(257,587) = 0.9326180340805840844 C2(257,587) = 1.707897381536813273 C3(257,587) = 4.943944959169100653 C4(257,587) = 4696 Sum = 4083.747306331678911 Averaged sum = 0.4080075238616923680 logp*logq = 35.37549776832154743 -------------- ************************************* p = 257; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2442820078940103.508 -------------- Searches starting with [257,593]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(257,593) = 0.9346663634068760216 D2(257,593) = 0.07421800322292208284 C1(257,593) = 1.296151891506374687 C2(257,593) = 1.856631267671091950 C3(257,593) = 9.217710020251986708 C4(257,593) = 4744 Sum = 4458.369049041304599 Averaged sum = 0.4454360124928868617 logp*logq = 35.43192953688518432 -------------- ************************************* p = 257; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2583168628204526.534 -------------- Searches starting with [257,599]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(257,599) = 0.6879383804934309293 D2(257,599) = 0.1064435640376294857 C1(257,599) = 0.9673276638915319748 C2(257,599) = 1.890583835839187703 C3(257,599) = 5.246929772227131942 C4(257,599) = 4792 Sum = 4443.330153338441376 Averaged sum = 0.4439334752061585948 logp*logq = 35.48779319075122425 -------------- ************************************* p = 257; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2631393972260841.791 -------------- Searches starting with [257,601]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(257,601) = 0.6523219063640793554 D2(257,601) = 0.1094986624684131493 C1(257,601) = 1.065205425925253172 C2(257,601) = 1.404128200776548376 C3(257,601) = 6.205087442436007206 C4(257,601) = 4808 Sum = 4075.838638956704674 Averaged sum = 0.4072173682642326580 logp*logq = 35.50629012816101490 -------------- ************************************* p = 257; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2780518605151187.347 -------------- Searches starting with [257,607]-exponents: u = 15, v = 6 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(257,607) = 0.6486841956392177562 D2(257,607) = 0.1103883275142329908 C1(257,607) = 0.9009389765392830697 C2(257,607) = 1.917100529142549687 C3(257,607) = 4.682711667011811993 C4(257,607) = 4856 Sum = 3931.759495337551733 Averaged sum = 0.3928224093653263796 logp*logq = 35.56141385383073668 -------------- ************************************* p = 257; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2936501700946234.271 -------------- Searches starting with [257,613]-exponents: u = 15, v = 6 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(257,613) = 0.6908941834565381761 D2(257,613) = 0.07317479263531751095 C1(257,613) = 0.9502823691716446201 C2(257,613) = 1.881808165071072367 C3(257,613) = 5.095887017816211786 C4(257,613) = 4904 Sum = 4380.748652095359566 Averaged sum = 0.4376809523524187797 logp*logq = 35.61599537013367019 -------------- ************************************* p = 257; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3044420753184443.310 -------------- Searches starting with [257,617]-exponents: u = 15, v = 6 n_start has 53 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(257,617) = 1.027205031026069242 D2(257,617) = 0.05052442995211680954 C1(257,617) = 1.596684188351100391 C2(257,617) = 1.860428005520773715 C3(257,617) = 15.42713897023871013 C4(257,617) = 4936 Sum = 3928.061809536467917 Averaged sum = 0.3924529732776968645 logp*logq = 35.65208704913748175 -------------- ************************************* p = 257; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3099586901194372.695 -------------- Searches starting with [257,619]-exponents: u = 22, v = 6 n_start has 70 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(257,619) = 0.8835226418895472752 D2(257,619) = 0.03974187219082870714 C1(257,619) = 1.201451764433148248 C2(257,619) = 1.850277417562663473 C3(257,619) = 7.836917025118958130 C4(257,619) = 4952 Sum = 4297.494985467786275 Averaged sum = 0.4293630717821746703 logp*logq = 35.67004523984295781 -------------- ************************************* p = 257; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3448069050753378.482 -------------- Searches starting with [257,631]-exponents: u = 36, v = 6 n_start has 104 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(257,631) = 0.5973984544826589745 D2(257,631) = 0.04865658053163538304 C1(257,631) = 0.8104964226161385684 C2(257,631) = 1.753193959109157056 C3(257,631) = 4.010404680268570357 C4(257,631) = 5048 Sum = 4310.960194998266545 Averaged sum = 0.4307083819560661949 logp*logq = 35.77659077383219325 -------------- ************************************* p = 257; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3762432916675929.624 -------------- Searches starting with [257,641]-exponents: u = 92, v = 6 n_start has 239 digits starting right neighbors generation We generated 3774 left neighbors We generated 6236 right neighbors We generated 10009 non-negative rho_i D1(257,641) = 1.090402318185161477 D2(257,641) = 0.01529706542374367625 C1(257,641) = 1.497039907614247262 C2(257,641) = 1.590558840259275570 C3(257,641) = 13.00553006572409404 C4(257,641) = 5128 Sum = 5063.426188826816488 Averaged sum = 0.5058873202944166738 logp*logq = 35.86384219537183033 -------------- ************************************* p = 257; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3828038977801586.545 -------------- Searches starting with [257,643]-exponents: u = 134, v = 6 n_start has 340 digits --- performed 5000 steps in the continued fraction search [257,643]-exponents: u = 61, v = 22 --- starting right neighbors generation We generated 7905 left neighbors We generated 2105 right neighbors We generated 10009 non-negative rho_i D1(257,643) = 0.6174404240998092305 D2(257,643) = 0.003384351020539191024 C1(257,643) = 0.8312454539494945983 C2(257,643) = 1.534520041616082284 C3(257,643) = 4.155564778462674172 C4(257,643) = 5144 Sum = 4632.771396623150068 Averaged sum = 0.4628605651536766978 logp*logq = 35.88112905073836965 -------------- ************************************* p = 257; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3962066137378443.977 -------------- Searches starting with [257,647]-exponents: u = 680, v = 6 n_start has 1656 digits --- performed 5000 steps in the continued fraction search [257,647]-exponents: u = 290, v = 333 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(257,647) = 0.6177849066838493135 D2(257,647) = 0.4073157822557373427 C1(257,647) = 0.7801033025862180441 C2(257,647) = 1.447407216681705095 C3(257,647) = 3.806878446233691567 C4(257,647) = 5176 Sum = 5649.748352279013644 Averaged sum = 0.5650313383617375381 logp*logq = 35.91554203597514058 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(257,647) = 0.6177849066838493135 D2(257,647) = 0.4073157822557373427 C1(257,647) = 0.7801033025862180441 C2(257,647) = 1.447407216681705095 C3(257,647) = 3.806878446233691567 C4(257,647) = 5176 Sum = 5649.748352279013644 Averaged sum = 0.5650313383617375381 logp*logq = 35.91554203597514058 -------------- ************************************* p = 257; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4170301125530555.770 -------------- Searches starting with [257,653]-exponents: u = 7, v = 119 n_start has 352 digits --- performed 5000 steps in the continued fraction search [257,653]-exponents: u = 41, v = 46 --- starting right neighbors generation We generated 8320 left neighbors We generated 1690 right neighbors We generated 10009 non-negative rho_i D1(257,653) = 0.6421539505956625371 D2(257,653) = 0.01299890037251763566 C1(257,653) = 0.8651603407002937392 C2(257,653) = 1.520575794224418419 C3(257,653) = 4.404232290480183806 C4(257,653) = 5224 Sum = 4629.522515324151657 Averaged sum = 0.4625359691601710118 logp*logq = 35.96676464047165600 -------------- ************************************* p = 257; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4387424339407250.147 -------------- Searches starting with [257,659]-exponents: u = 7, v = 53 n_start has 167 digits starting right neighbors generation We generated 1813 left neighbors We generated 8197 right neighbors We generated 10009 non-negative rho_i D1(257,659) = 0.5741363981529535533 D2(257,659) = 0.02145150774148353649 C1(257,659) = 0.8125298957311659151 C2(257,659) = 1.678803946828097086 C3(257,659) = 4.024403807210532316 C4(257,659) = 5272 Sum = 4058.100823674873766 Averaged sum = 0.4054451817039538181 logp*logq = 36.01751873897443586 -------------- ************************************* p = 257; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4461824392505961.725 -------------- Searches starting with [257,661]-exponents: u = 7, v = 41 n_start has 133 digits starting right neighbors generation We generated 1057 left neighbors We generated 8953 right neighbors We generated 10009 non-negative rho_i D1(257,661) = 0.8606429152614012441 D2(257,661) = 0.04318466029494896700 C1(257,661) = 1.228674394643454526 C2(257,661) = 1.701001765044032288 C3(257,661) = 8.211167151284069012 C4(257,661) = 5288 Sum = 4918.968603342211734 Averaged sum = 0.4914545512381068772 logp*logq = 36.03433413391749548 -------------- ************************************* p = 257; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4930270648132240.007 -------------- Searches starting with [257,673]-exponents: u = 7, v = 23 n_start has 82 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(257,673) = 0.7613542119435994505 D2(257,673) = 0.08338805989724191165 C1(257,673) = 1.036317157952400519 C2(257,673) = 1.828324434673766306 C3(257,673) = 5.905391023375682602 C4(257,673) = 5384 Sum = 4206.346898055430920 Averaged sum = 0.4202564589924498871 logp*logq = 36.13417027965969862 -------------- ************************************* p = 257; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5095090325677604.729 -------------- Searches starting with [257,677]-exponents: u = 7, v = 17 n_start has 65 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(257,677) = 0.6629632284249567490 D2(257,677) = 0.1183611010907749474 C1(257,677) = 0.9269198365096990117 C2(257,677) = 1.864256610794152551 C3(257,677) = 4.895904193585890768 C4(257,677) = 5416 Sum = 4120.568059742173103 Averaged sum = 0.4116862883147340497 logp*logq = 36.16705378972609056 -------------- ************************************* p = 257; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5350768248906517.933 -------------- Searches starting with [257,683]-exponents: u = 7, v = 17 n_start has 66 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(257,683) = 0.7715188769486060331 D2(257,683) = 0.01286483458307365683 C1(257,683) = 1.019441007748645879 C2(257,683) = 1.761002183298209682 C3(257,683) = 5.737055874330683914 C4(257,683) = 5464 Sum = 3926.498396871578170 Averaged sum = 0.3922967725918251743 logp*logq = 36.21601654343585706 -------------- ************************************* p = 257; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5707944297297962.507 -------------- Searches starting with [257,691]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(257,691) = 0.6793956899798315180 D2(257,691) = 0.04084670657358337471 C1(257,691) = 0.9230039202483048508 C2(257,691) = 1.917562975632791562 C3(257,691) = 4.863160520849057233 C4(257,691) = 5528 Sum = 4148.338965101934261 Averaged sum = 0.4144608817166484425 logp*logq = 36.28063533577022401 -------------- ************************************* p = 257; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6181669725645532.190 -------------- Searches starting with [257,701]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(257,701) = 0.6915560708216128682 D2(257,701) = 0.07697040960216059006 C1(257,701) = 0.9431898767880441799 C2(257,701) = 1.956220238517438461 C3(257,701) = 5.034326881306015977 C4(257,701) = 5608 Sum = 4405.682365472201154 Averaged sum = 0.4401720816737137730 logp*logq = 36.36036481203095234 -------------- ************************************* p = 257; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6583439519386890.219 -------------- Searches starting with [257,709]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(257,709) = 0.6333691694492959499 D2(257,709) = 0.07394144655327694637 C1(257,709) = 1.056520340233367518 C2(257,709) = 1.981564823995155060 C3(257,709) = 6.113420734614653183 C4(257,709) = 5672 Sum = 3920.801007303645916 Averaged sum = 0.3917275459390194740 logp*logq = 36.42333372698674959 -------------- ************************************* p = 257; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7115508907430386.684 -------------- Searches starting with [257,719]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(257,719) = 0.6625608573620132553 D2(257,719) = 0.03182558218832504832 C1(257,719) = 0.9901637531762976341 C2(257,719) = 1.942285772767685210 C3(257,719) = 5.456326389504070430 C4(257,719) = 5752 Sum = 3885.371278497463962 Averaged sum = 0.3881877588667663065 logp*logq = 36.50105314988626064 -------------- ************************************* p = 257; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7566101540128598.480 -------------- Searches starting with [257,727]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(257,727) = 0.9959020849224509278 D2(257,727) = 0.001379431720809382901 C1(257,727) = 1.575524226366298523 C2(257,727) = 1.914080383167288384 C3(257,727) = 14.87776554367308020 C4(257,727) = 5816 Sum = 3540.863599850906332 Averaged sum = 0.3537679688131587903 logp*logq = 36.56245434161415305 -------------- ************************************* p = 257; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7919175112958145.674 -------------- Searches starting with [257,733]-exponents: u = 19, v = 5 n_start has 61 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(257,733) = 0.7548507180039419429 D2(257,733) = 0.1280419433751906602 C1(257,733) = 1.031672256645080092 C2(257,733) = 1.921304017591454221 C3(257,733) = 5.858572759699791152 C4(257,733) = 5864 Sum = 4390.272698980386811 Averaged sum = 0.4386325006474559707 logp*logq = 36.60806344290850692 -------------- ************************************* p = 257; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8285643611689912.042 -------------- Searches starting with [257,739]-exponents: u = 19, v = 5 n_start has 61 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(257,739) = 0.8413197312441225145 D2(257,739) = 0.07894169879536737636 C1(257,739) = 1.289228424151637712 C2(257,739) = 1.873792874876730240 C3(257,739) = 9.108994796026027362 C4(257,739) = 5912 Sum = 3733.094580994196038 Averaged sum = 0.3729737816958932998 logp*logq = 36.65330072674178254 -------------- ************************************* p = 257; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8537591406781813.522 -------------- Searches starting with [257,743]-exponents: u = 25, v = 5 n_start has 75 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(257,743) = 0.7558655360733787537 D2(257,743) = 0.04990951614174276398 C1(257,743) = 1.019133822801237286 C2(257,743) = 1.845812862022196992 C3(257,743) = 5.734036672606353803 C4(257,743) = 5944 Sum = 4103.233753236677292 Averaged sum = 0.4099544163489536709 logp*logq = 36.68325532625473789 -------------- ************************************* p = 257; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9060346421420002.714 -------------- Searches starting with [257,751]-exponents: u = 31, v = 5 n_start has 90 digits starting right neighbors generation We generated 367 left neighbors We generated 9643 right neighbors We generated 10009 non-negative rho_i D1(257,751) = 0.5738800444321110542 D2(257,751) = 0.08031003357881977521 C1(257,751) = 0.7723180245123063816 C2(257,751) = 1.795415553447191540 C3(257,751) = 3.756427792308912705 C4(257,751) = 6008 Sum = 4223.830300751286750 Averaged sum = 0.4220032271706750674 logp*logq = 36.74268375059440595 -------------- ************************************* p = 257; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9469391909385868.742 -------------- Searches starting with [257,757]-exponents: u = 43, v = 5 n_start has 119 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(257,757) = 0.7443471734379319276 D2(257,757) = 0.02263979598278804664 C1(257,757) = 1.004381378621936449 C2(257,757) = 1.739246461489990882 C3(257,757) = 5.590895722308308912 C4(257,757) = 6056 Sum = 4112.461028244677548 Averaged sum = 0.4108763141417401886 logp*logq = 36.78684108773291503 -------------- ************************************* p = 257; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9750405786263602.188 -------------- Searches starting with [257,761]-exponents: u = 49, v = 5 n_start has 133 digits starting right neighbors generation We generated 940 left neighbors We generated 9070 right neighbors We generated 10009 non-negative rho_i D1(257,761) = 0.8922715109967634163 D2(257,761) = 0.03705054136597399110 C1(257,761) = 1.273830021361723043 C2(257,761) = 1.692854283538583697 C3(257,761) = 8.871777557136617523 C4(257,761) = 6088 Sum = 5029.280873299586058 Averaged sum = 0.5024758590568074790 logp*logq = 36.81608529815834939 -------------- ************************************* p = 257; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10332962064465318.65 -------------- Searches starting with [257,769]-exponents: u = 91, v = 5 n_start has 234 digits starting right neighbors generation We generated 3282 left neighbors We generated 6728 right neighbors We generated 10009 non-negative rho_i D1(257,769) = 0.7669516483799729873 D2(257,769) = 0.004031096729063240705 C1(257,769) = 1.054243401255135397 C2(257,769) = 1.573388619198167097 C3(257,769) = 6.089613656193540197 C4(257,769) = 6152 Sum = 4663.513200584827427 Averaged sum = 0.4659319812753349412 logp*logq = 36.87411538083695928 -------------- ************************************* p = 257; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10634761596104462.43 -------------- Searches starting with [257,773]-exponents: u = 151, v = 5 n_start has 379 digits --- performed 5000 steps in the continued fraction search [257,773]-exponents: u = 61, v = 41 --- starting right neighbors generation We generated 8612 left neighbors We generated 1398 right neighbors We generated 10009 non-negative rho_i D1(257,773) = 0.5888959920049414776 D2(257,773) = 0.007639588753820348311 C1(257,773) = 0.7884817993940028416 C2(257,773) = 1.469071363611057600 C3(257,773) = 3.861930559702091657 C4(257,773) = 6184 Sum = 4685.876726423989769 Averaged sum = 0.4681663229517424087 logp*logq = 36.90290442639619866 -------------- ************************************* p = 257; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11748546220317613.64 -------------- Searches starting with [257,787]-exponents: u = 6, v = 114 n_start has 345 digits --- performed 5000 steps in the continued fraction search [257,787]-exponents: u = 50, v = 32 --- starting right neighbors generation We generated 6943 left neighbors We generated 3067 right neighbors We generated 10009 non-negative rho_i D1(257,787) = 0.9974040643207008644 D2(257,787) = 0.01403684107697799305 C1(257,787) = 1.341799888297486188 C2(257,787) = 1.485909867996499190 C3(257,787) = 9.967706111476859390 C4(257,787) = 6296 Sum = 4708.154190553656412 Averaged sum = 0.4703920661957894307 logp*logq = 37.00250590191575305 -------------- ************************************* p = 257; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12601231280081022.24 -------------- Searches starting with [257,797]-exponents: u = 6, v = 49 n_start has 157 digits starting right neighbors generation We generated 1492 left neighbors We generated 8518 right neighbors We generated 10009 non-negative rho_i D1(257,797) = 0.6799549041356746892 D2(257,797) = 0.0002447068613772812628 C1(257,797) = 0.9036222811410848170 C2(257,797) = 1.684679839774097456 C3(257,797) = 4.704293269205866190 C4(257,797) = 6376 Sum = 3693.573561905680041 Averaged sum = 0.3690252334804356121 logp*logq = 37.07257092473511771 -------------- ************************************* p = 257; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13690761263274003.45 -------------- Searches starting with [257,809]-exponents: u = 6, v = 29 n_start has 99 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(257,809) = 0.6280908852594898722 D2(257,809) = 0.04224992261835416762 C1(257,809) = 0.8351351423956354819 C2(257,809) = 1.797637392679081477 C3(257,809) = 4.183356182812295710 C4(257,809) = 6472 Sum = 3947.467310910347781 Averaged sum = 0.3943917784903934240 logp*logq = 37.15549763991658762 -------------- ************************************* p = 257; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13879635228956697.69 -------------- Searches starting with [257,811]-exponents: u = 6, v = 24 n_start has 85 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(257,811) = 0.7772986924442400577 D2(257,811) = 0.05804623196800244943 C1(257,811) = 1.027763972474744343 C2(257,811) = 1.813822360139828142 C3(257,811) = 5.819466895971997972 C4(257,811) = 6488 Sum = 3844.586059472727014 Averaged sum = 0.3841129043333726660 logp*logq = 37.16919906930947780 -------------- ************************************* p = 257; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14856342952313104.45 -------------- Searches starting with [257,821]-exponents: u = 6, v = 19 n_start has 70 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(257,821) = 1.329014348564988349 D2(257,821) = 0.02075103360424144295 C1(257,821) = 1.905400149522850612 C2(257,821) = 1.873306873715917479 C3(257,821) = 26.18413275239499551 C4(257,821) = 6568 Sum = 5298.806097898114653 Averaged sum = 0.5294041460583589422 logp*logq = 37.23720330379917692 -------------- ************************************* p = 257; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15058284686040601.42 -------------- Searches starting with [257,823]-exponents: u = 6, v = 19 n_start has 70 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(257,823) = 0.6266607170670070965 D2(257,823) = 0.03057717547485925020 C1(257,823) = 0.8753853181401802010 C2(257,823) = 1.883538394886239034 C3(257,823) = 4.482082605246357977 C4(257,823) = 6584 Sum = 3917.463138111240532 Averaged sum = 0.3913940591578819594 logp*logq = 37.25070471212620400 -------------- ************************************* p = 257; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15468922036244312.35 -------------- Searches starting with [257,827]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(257,827) = 0.9584339574452289363 D2(257,827) = 0.05092523574317044739 C1(257,827) = 1.482243746950081558 C2(257,827) = 1.904694214685084988 C3(257,827) = 12.67991810680774426 C4(257,827) = 6616 Sum = 3864.583518746709492 Averaged sum = 0.3861108521077739526 logp*logq = 37.27760937615279105 -------------- ************************************* p = 257; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15677656615031224.30 -------------- Searches starting with [257,829]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(257,829) = 0.5907736690414776968 D2(257,829) = 0.06148376875512821304 C1(257,829) = 0.9136472784558332303 C2(257,829) = 1.915655137686508615 C3(257,829) = 4.785807197109901603 C4(257,829) = 6632 Sum = 4186.321521430820259 Averaged sum = 0.4182557219932880666 logp*logq = 37.29101294809210926 -------------- ************************************* p = 257; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16756278683706894.24 -------------- Searches starting with [257,839]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(257,839) = 0.5971212681627843054 D2(257,839) = 0.1190691916542954622 C1(257,839) = 0.7975247946149214407 C2(257,839) = 1.975237804774574738 C3(257,839) = 3.922242530718867186 C4(257,839) = 6712 Sum = 3884.152043972601779 Averaged sum = 0.3880659450467181315 logp*logq = 37.35754942973272624 -------------- ************************************* p = 257; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18367885983685163.65 -------------- Searches starting with [257,853]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(257,853) = 0.9858579279973590592 D2(257,853) = 0.1142657337912375972 C1(257,853) = 1.429660032051464855 C2(257,853) = 1.893688641908932157 C3(257,853) = 11.58730825647784937 C4(257,853) = 6824 Sum = 4154.471435195979154 Averaged sum = 0.4150735773000278903 logp*logq = 37.44938020769436194 -------------- ************************************* p = 257; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18850971480721250.28 -------------- Searches starting with [257,857]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(257,857) = 0.6593483574963025308 D2(257,857) = 0.1014935212227760159 C1(257,857) = 0.8828111910912037872 C2(257,857) = 1.881765355505800542 C3(257,857) = 4.539482483015075842 C4(257,857) = 6856 Sum = 4102.312208564035520 Averaged sum = 0.4098623447461320331 logp*logq = 37.47534084491548998 -------------- ************************************* p = 257; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19096391015875737.14 -------------- Searches starting with [257,859]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(257,859) = 0.9427533893226277856 D2(257,859) = 0.08893625350434850268 C1(257,859) = 1.427577128601504059 C2(257,859) = 1.750474505489902273 C3(257,859) = 11.54602306693428919 C4(257,859) = 6872 Sum = 3356.993120843521074 Averaged sum = 0.3353974543754142346 logp*logq = 37.48827576006119140 -------------- ************************************* p = 257; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19595091307094488.27 -------------- Searches starting with [257,863]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(257,863) = 0.5649087119776406780 D2(257,863) = 0.07776077351396643221 C1(257,863) = 0.7951384621005285437 C2(257,863) = 1.740115716674622404 C3(257,863) = 3.906236076045533566 C4(257,863) = 6904 Sum = 4061.700053674257278 Averaged sum = 0.4058047810644677069 logp*logq = 37.51405548626535514 -------------- ************************************* p = 257; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21425386319868632.21 -------------- Searches starting with [257,877]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(257,877) = 0.7163827726889031800 D2(257,877) = 0.02511204033953584917 C1(257,877) = 1.228517909303938762 C2(257,877) = 2.034995487775728606 C3(257,877) = 8.208965554697619295 C4(257,877) = 7016 Sum = 4004.844185240361186 Averaged sum = 0.4001243066480528711 logp*logq = 37.60335289049771456 -------------- ************************************* p = 257; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21973304999507708.67 -------------- Searches starting with [257,881]-exponents: u = 6, v = 9 n_start has 41 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(257,881) = 1.111232106938927942 D2(257,881) = 0.02096387078249528450 C1(257,881) = 1.905418809968068913 C2(257,881) = 1.100784064141384263 C3(257,881) = 26.18497005908560390 C4(257,881) = 7048 Sum = 2722.358076645466118 Averaged sum = 0.2719910157503712776 logp*logq = 37.62860470237880886 -------------- ************************************* p = 257; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22251540714887830.26 -------------- Searches starting with [257,883]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(257,883) = 1.116659166126996291 D2(257,883) = 0.02058989223088523522 C1(257,883) = 1.914668270016216972 C2(257,883) = 1.098514272647262003 C3(257,883) = 26.60331281259292450 C4(257,883) = 7064 Sum = 2632.887750110533766 Averaged sum = 0.2630520281856862590 logp*logq = 37.64118764673850389 -------------- ************************************* p = 257; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22816680387087014.58 -------------- Searches starting with [257,887]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(257,887) = 0.7187110140991824371 D2(257,887) = 0.02292026690109742320 C1(257,887) = 1.232330522821662090 C2(257,887) = 2.071353354656540221 C3(257,887) = 8.262773712579999291 C4(257,887) = 7096 Sum = 4294.189262175174728 Averaged sum = 0.4290327967004870345 logp*logq = 37.66626825931010385 -------------- ************************************* p = 257; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25821880392784108.30 -------------- Searches starting with [257,907]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(257,907) = 1.248492344079647498 D2(257,907) = 0.07949088193259899928 C1(257,907) = 1.897633713702428868 C2(257,907) = 1.759684906430913037 C3(257,907) = 25.83796181171555722 C4(257,907) = 7256 Sum = 3955.217439287192914 Averaged sum = 0.3951660944437199435 logp*logq = 37.78999860466364192 -------------- ************************************* p = 257; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26460171119498659.34 -------------- Searches starting with [257,911]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(257,911) = 0.8472285254754349546 D2(257,911) = 0.09459467444645025592 C1(257,911) = 1.188959649400147762 C2(257,911) = 1.901611611315064334 C3(257,911) = 7.670935980777540855 C4(257,911) = 7288 Sum = 4336.187663553891148 Averaged sum = 0.4332288603810461733 logp*logq = 37.81441702067781757 -------------- ************************************* p = 257; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27775586378796601.38 -------------- Searches starting with [257,919]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(257,919) = 0.8506851296733554485 D2(257,919) = 0.1135410534250524354 C1(257,919) = 1.135850465790227347 C2(257,919) = 1.922053630941211715 C3(257,919) = 7.003633406028786578 C4(257,919) = 7352 Sum = 3902.695788642735798 Averaged sum = 0.3899186520774039163 logp*logq = 37.86293384196138158 -------------- ************************************* p = 257; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29494770286743327.67 -------------- Searches starting with [257,929]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(257,929) = 0.9967540100281783898 D2(257,929) = 0.1036490495664130500 C1(257,929) = 1.355428410403280205 C2(257,929) = 1.456840604070531500 C3(257,929) = 10.20323413824203547 C4(257,929) = 7432 Sum = 4284.429597942523209 Averaged sum = 0.4280577078571808581 logp*logq = 37.92298936412530329 -------------- ************************************* p = 257; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30932077835034427.92 -------------- Searches starting with [257,937]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(257,937) = 0.7083096026758872379 D2(257,937) = 0.06974414262691430407 C1(257,937) = 0.9371825501969616584 C2(257,937) = 1.991737333952540793 C3(257,937) = 4.982767629580409711 C4(257,937) = 7496 Sum = 3873.356240325567227 Averaged sum = 0.3869873354306691204 logp*logq = 37.97057015798155610 -------------- ************************************* p = 257; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31671969145029365.58 -------------- Searches starting with [257,941]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(257,941) = 0.6511379323590976313 D2(257,941) = 0.05056506650131334234 C1(257,941) = 0.8729497212864413025 C2(257,941) = 1.973424898969698159 C3(257,941) = 4.463414652734837210 C4(257,941) = 7528 Sum = 4013.132483849252762 Averaged sum = 0.4009523912328157420 logp*logq = 37.99420843051062287 -------------- ************************************* p = 257; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32808961866987471.70 -------------- Searches starting with [257,947]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(257,947) = 0.7768612532298855909 D2(257,947) = 0.02360516708873348621 C1(257,947) = 1.214153437861182697 C2(257,947) = 1.947758004480338327 C3(257,947) = 8.009365203127379443 C4(257,947) = 7576 Sum = 3708.617201113591786 Averaged sum = 0.3705282446911371552 logp*logq = 38.02947810063296318 -------------- ************************************* p = 257; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33979201557666962.33 -------------- Searches starting with [257,953]-exponents: u = 21, v = 4 n_start has 63 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(257,953) = 0.5960311583372290949 D2(257,953) = 0.1518550719570950800 C1(257,953) = 0.8235786025118489280 C2(257,953) = 1.983829472425857098 C3(257,953) = 4.101325396082445523 C4(257,953) = 7624 Sum = 4254.316685154121888 Averaged sum = 0.4250491243035390037 logp*logq = 38.06452501345836022 -------------- ************************************* p = 257; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36843310872801840.54 -------------- Searches starting with [257,967]-exponents: u = 26, v = 4 n_start has 75 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(257,967) = 1.011942681013876483 D2(257,967) = 0.04963266321196365826 C1(257,967) = 1.404375599042693061 C2(257,967) = 1.884470801870300192 C3(257,967) = 11.09597226982485736 C4(257,967) = 7736 Sum = 4585.479913441265437 Averaged sum = 0.4581356692418089156 logp*logq = 38.14545047394257687 -------------- ************************************* p = 257; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37696999950830365.10 -------------- Searches starting with [257,971]-exponents: u = 26, v = 4 n_start has 75 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(257,971) = 0.5955300869476048783 D2(257,971) = 0.02542840614355525431 C1(257,971) = 0.8090683606056577243 C2(257,971) = 1.861077079701358263 C3(257,971) = 4.000602529040166565 C4(257,971) = 7768 Sum = 4205.614231746559298 Averaged sum = 0.4201832582422379156 logp*logq = 38.16835690929718944 -------------- ************************************* p = 257; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39007886464315897.66 -------------- Searches starting with [257,977]-exponents: u = 31, v = 4 n_start has 87 digits starting right neighbors generation We generated 304 left neighbors We generated 9706 right neighbors We generated 10009 non-negative rho_i D1(257,977) = 0.6156760865976285873 D2(257,977) = 0.08250182873906866654 C1(257,977) = 0.8666003328691030929 C2(257,977) = 1.850084022136139938 C3(257,977) = 4.415113663924619478 C4(257,977) = 7816 Sum = 3972.505186171111745 Averaged sum = 0.3968933146339406280 logp*logq = 38.20254023763096420 -------------- ************************************* p = 257; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40355911277944696.49 -------------- Searches starting with [257,983]-exponents: u = 36, v = 4 n_start has 99 digits starting right neighbors generation We generated 463 left neighbors We generated 9547 right neighbors We generated 10009 non-negative rho_i D1(257,983) = 1.349707243744726639 D2(257,983) = 0.03438326534484776915 C1(257,983) = 1.838962830730269531 C2(257,983) = 1.803132546497023020 C3(257,983) = 23.36652701252570176 C4(257,983) = 7864 Sum = 5086.562683636294280 Averaged sum = 0.5081988893632025457 logp*logq = 38.23651427896953418 -------------- ************************************* p = 257; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42212460250501068.90 -------------- Searches starting with [257,991]-exponents: u = 41, v = 4 n_start has 111 digits starting right neighbors generation We generated 532 left neighbors We generated 9478 right neighbors We generated 10009 non-negative rho_i D1(257,991) = 0.9533009069345524325 D2(257,991) = 0.03869862666678899303 C1(257,991) = 1.379983560426072170 C2(257,991) = 1.754704136497184884 C3(257,991) = 10.64173164827756540 C4(257,991) = 7928 Sum = 5074.275512071267912 Averaged sum = 0.5069712770577747939 logp*logq = 38.28149183896959915 -------------- ************************************* p = 257; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43650335781570244.73 -------------- Searches starting with [257,997]-exponents: u = 51, v = 4 n_start has 135 digits starting right neighbors generation We generated 820 left neighbors We generated 9190 right neighbors We generated 10009 non-negative rho_i D1(257,997) = 0.5837734480393186454 D2(257,997) = 0.03754309096859121844 C1(257,997) = 0.8322983440175878831 C2(257,997) = 1.710476943828002180 C3(257,997) = 4.163069288763967786 C4(257,997) = 7976 Sum = 4180.227085266228525 Averaged sum = 0.4176468263828782621 logp*logq = 38.31498736975709226 -------------- ************************************* p = 263; q = 269; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34590270973641.84520 -------------- Searches starting with [263,269]-exponents: u = 1, v = 247 n_start has 603 digits --- performed 5000 steps in the continued fraction search [263,269]-exponents: u = 23, v = 204 --- starting right neighbors generation We generated 7471 left neighbors We generated 2539 right neighbors We generated 10009 non-negative rho_i D1(263,269) = 1.054105296700930193 D2(263,269) = 0.004524707737206793448 C1(263,269) = 1.382525774710603099 C2(263,269) = 1.085129671686465105 C3(263,269) = 10.74969599766440836 C4(263,269) = 2152 Sum = 5257.101747491591315 Averaged sum = 0.5252374610342283260 logp*logq = 31.17459357271921169 -------------- ************************************* p = 263; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36047872998986.18445 -------------- Searches starting with [263,271]-exponents: u = 1, v = 185 n_start has 453 digits starting right neighbors generation We generated 4211 left neighbors We generated 5799 right neighbors We generated 10009 non-negative rho_i D1(263,271) = 0.9566002517493004269 D2(263,271) = 0.001545448585485819279 C1(263,271) = 1.270726859806881152 C2(263,271) = 1.128386959794999147 C3(263,271) = 8.871388694064707240 C4(263,271) = 2168 Sum = 5209.794641891005319 Averaged sum = 0.5205110042852438125 logp*logq = 31.21586897650376930 -------------- ************************************* p = 263; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40726162866989.80187 -------------- Searches starting with [263,277]-exponents: u = 1, v = 107 n_start has 264 digits starting right neighbors generation We generated 1434 left neighbors We generated 8576 right neighbors We generated 10009 non-negative rho_i D1(263,277) = 0.5892687337811306889 D2(263,277) = 0.01567754212370941733 C1(263,277) = 0.8054615689124737822 C2(263,277) = 1.242162702508144771 C3(263,277) = 3.989265555795863477 C4(263,277) = 2216 Sum = 4421.342334165339719 Averaged sum = 0.4417366704131621259 logp*logq = 31.33789182414011412 -------------- ************************************* p = 263; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44113223479448.00175 -------------- Searches starting with [263,281]-exponents: u = 1, v = 84 n_start has 209 digits starting right neighbors generation We generated 965 left neighbors We generated 9045 right neighbors We generated 10009 non-negative rho_i D1(263,281) = 0.7267783161503972916 D2(263,281) = 0.006643104233184498376 C1(263,281) = 1.007793665743207743 C2(263,281) = 1.285767143113245088 C3(263,281) = 5.647254601843096316 C4(263,281) = 2248 Sum = 4114.371789286420997 Averaged sum = 0.4110672184320532517 logp*logq = 31.41778070557635781 -------------- ************************************* p = 263; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45891438665466.08634 -------------- Searches starting with [263,283]-exponents: u = 1, v = 76 n_start has 189 digits starting right neighbors generation We generated 802 left neighbors We generated 9208 right neighbors We generated 10009 non-negative rho_i D1(263,283) = 1.033876046977251288 D2(263,283) = 0.01082672976855756100 C1(263,283) = 1.442728421230657113 C2(263,283) = 1.312289757787036097 C3(263,283) = 11.92089186038598750 C4(263,283) = 2264 Sum = 4003.991932934376739 Averaged sum = 0.4000391580511916015 logp*logq = 31.45729969414821816 -------------- ************************************* p = 263; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55688607392619.71100 -------------- Searches starting with [263,293]-exponents: u = 1, v = 51 n_start has 129 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(263,293) = 0.6256536499453887590 D2(263,293) = 0.03388157670125235205 C1(263,293) = 0.8565846355506100478 C2(263,293) = 1.428085626465079497 C3(263,293) = 4.355439009254435035 C4(263,293) = 2344 Sum = 4605.935885926142555 Averaged sum = 0.4601794271082168603 logp*logq = 31.65079670680014448 -------------- ************************************* p = 263; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72230085259970.02936 -------------- Searches starting with [263,307]-exponents: u = 1, v = 36 n_start has 92 digits starting right neighbors generation We generated 212 left neighbors We generated 9798 right neighbors We generated 10009 non-negative rho_i D1(263,307) = 1.078914808971212365 D2(263,307) = 0.02837197204004361392 C1(263,307) = 1.592177108589648579 C2(263,307) = 1.526440936179272504 C3(263,307) = 15.40993913321242609 C4(263,307) = 2456 Sum = 2850.528743012703562 Averaged sum = 0.2847965573996107065 logp*logq = 31.91087776838614941 -------------- ************************************* p = 263; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77632728984573.34762 -------------- Searches starting with [263,311]-exponents: u = 1, v = 33 n_start has 85 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(263,311) = 0.7395123217172780371 D2(263,311) = 0.06349664862850275682 C1(263,311) = 0.9977085936038121961 C2(263,311) = 1.582201403352987202 C3(263,311) = 5.550264384817738342 C4(263,311) = 2488 Sum = 4204.357809351370489 Averaged sum = 0.4200577289790558986 logp*logq = 31.98301021946487310 -------------- ************************************* p = 263; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80455815821166.13691 -------------- Searches starting with [263,313]-exponents: u = 1, v = 32 n_start has 83 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(263,313) = 1.142690223366597243 D2(263,313) = 0.07253241924414892770 C1(263,313) = 1.704079037527568548 C2(263,313) = 1.602222978009623399 C3(263,313) = 18.67593478464256927 C4(263,313) = 2504 Sum = 2672.341574040955425 Averaged sum = 0.2669938629274608277 logp*logq = 32.01872927788105024 -------------- ************************************* p = 263; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86354992875845.71261 -------------- Searches starting with [263,317]-exponents: u = 1, v = 29 n_start has 75 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(263,317) = 0.7610423961198463666 D2(263,317) = 0.07099583980642058305 C1(263,317) = 1.011467075607797548 C2(263,317) = 1.624193774552413295 C3(263,317) = 5.683002101643228319 C4(263,317) = 2536 Sum = 4112.581337037894116 Averaged sum = 0.4108883342030067056 logp*logq = 32.08948774022597004 -------------- ************************************* p = 263; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109867619789870.1465 -------------- Searches starting with [263,331]-exponents: u = 1, v = 24 n_start has 63 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(263,331) = 0.6336074315067228070 D2(263,331) = 0.08252616946550122988 C1(263,331) = 0.8694407638191859088 C2(263,331) = 1.707836198341238778 C3(263,331) = 4.452694563840462339 C4(263,331) = 2648 Sum = 4182.089692441431892 Averaged sum = 0.4178329196164883497 logp*logq = 32.33029730053000153 -------------- ************************************* p = 263; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121434794998361.3096 -------------- Searches starting with [263,337]-exponents: u = 1, v = 22 n_start has 59 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(263,337) = 0.7859988203504972886 D2(263,337) = 0.03490094642341809657 C1(263,337) = 1.136680022501820744 C2(263,337) = 1.695495182734489418 C3(263,337) = 7.046761438405998271 C4(263,337) = 2696 Sum = 4214.509291796652997 Averaged sum = 0.4210719644116947744 logp*logq = 32.43039856797189199 -------------- ************************************* p = 263; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 142924646263867.4477 -------------- Searches starting with [263,347]-exponents: u = 1, v = 20 n_start has 54 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(263,347) = 0.7423456820164625476 D2(263,347) = 0.05019942817093631298 C1(263,347) = 1.161226062601246803 C2(263,347) = 1.752857908113758947 C3(263,347) = 7.350239364700688025 C4(263,347) = 2776 Sum = 3941.237178066627305 Averaged sum = 0.3937693254137903192 logp*logq = 32.59333865809820679 -------------- ************************************* p = 263; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147575735358578.0534 -------------- Searches starting with [263,349]-exponents: u = 1, v = 19 n_start has 51 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(263,349) = 0.6338627637794628828 D2(263,349) = 0.1042049097479429713 C1(263,349) = 0.8976914441556130027 C2(263,349) = 1.807738299299162822 C3(263,349) = 4.674106093772308156 C4(263,349) = 2792 Sum = 4059.407664001596131 Averaged sum = 0.4055757482267555331 logp*logq = 32.62536261999106907 -------------- ************************************* p = 263; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 157250884781223.4501 -------------- Searches starting with [263,353]-exponents: u = 1, v = 18 n_start has 49 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(263,353) = 0.8298528010166627297 D2(263,353) = 0.05787028230276299128 C1(263,353) = 1.305698378891080561 C2(263,353) = 1.784316370316155183 C3(263,353) = 9.420656519061680159 C4(263,353) = 2824 Sum = 3823.238939105556564 Averaged sum = 0.3819801118099267223 logp*logq = 32.68886363808292520 -------------- ************************************* p = 263; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172734797121225.4255 -------------- Searches starting with [263,359]-exponents: u = 1, v = 17 n_start has 46 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(263,359) = 0.7572053275650222964 D2(263,359) = 0.04630059035650664162 C1(263,359) = 1.198957886765394235 C2(263,359) = 1.798395510672351140 C3(263,359) = 7.842423577371931427 C4(263,359) = 2872 Sum = 4173.077360615750681 Averaged sum = 0.4169324968144420702 logp*logq = 32.78277856961667967 -------------- ************************************* p = 263; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 195305444902179.5011 -------------- Searches starting with [263,367]-exponents: u = 1, v = 16 n_start has 44 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(263,367) = 0.5986518851439244222 D2(263,367) = 0.05672524950487119624 C1(263,367) = 0.8119919859487954878 C2(263,367) = 1.837492869449372874 C3(263,367) = 4.034268407377735717 C4(263,367) = 2936 Sum = 4386.375212200504969 Averaged sum = 0.4382431024278654180 logp*logq = 32.90558583310600909 -------------- ************************************* p = 263; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 213775404442278.6812 -------------- Searches starting with [263,373]-exponents: u = 1, v = 15 n_start has 41 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(263,373) = 0.8730658935471467596 D2(263,373) = 0.005894215851657714891 C1(263,373) = 1.402407115781736102 C2(263,373) = 1.817038417755006201 C3(263,373) = 11.12315841634472618 C4(263,373) = 2984 Sum = 3781.839333437200613 Averaged sum = 0.3778438738572485376 logp*logq = 32.99594706787512151 -------------- ************************************* p = 263; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 233654888307393.7545 -------------- Searches starting with [263,379]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(263,379) = 1.374656728533755606 D2(263,379) = 0.1236146948755636564 C1(263,379) = 1.940335112650933632 C2(263,379) = 1.937266295084918823 C3(263,379) = 28.02430438478977335 C4(263,379) = 3032 Sum = 6354.730472187163311 Averaged sum = 0.6349016357465444411 logp*logq = 33.08486630635150433 -------------- ************************************* p = 263; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247731632337025.7361 -------------- Searches starting with [263,383]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(263,383) = 0.6183373337081395641 D2(263,383) = 0.003437671678711053418 C1(263,383) = 0.8515822327789555449 C2(263,383) = 1.849679063728161912 C3(263,383) = 4.318172909116688652 C4(263,383) = 3064 Sum = 4415.284403050054228 Averaged sum = 0.4411314220251827583 logp*logq = 33.14336714849736270 -------------- ************************************* p = 263; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 270145734240080.6212 -------------- Searches starting with [263,389]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(263,389) = 0.6480556887303965895 D2(263,389) = 0.1091583182598638486 C1(263,389) = 0.9188541221390732987 C2(263,389) = 1.957865049692731033 C3(263,389) = 4.847149477283166321 C4(263,389) = 3112 Sum = 3812.573054161884952 Averaged sum = 0.3809144823820446550 logp*logq = 33.22998268575555199 -------------- ************************************* p = 263; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 302594479852645.0531 -------------- Searches starting with [263,397]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(263,397) = 0.7137496015572485575 D2(263,397) = 0.03016200420354619128 C1(263,397) = 1.077877103282832142 C2(263,397) = 1.916780082080317814 C3(263,397) = 6.369733056389844165 C4(263,397) = 3176 Sum = 3721.260629420127053 Averaged sum = 0.3717914506364399094 logp*logq = 33.34341467472594354 -------------- ************************************* p = 263; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 319978952424048.2623 -------------- Searches starting with [263,401]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(263,401) = 0.6403871212485539377 D2(263,401) = 0.09504176246865409560 C1(263,401) = 0.8984546568125293148 C2(263,401) = 1.983265922206937124 C3(263,401) = 4.680238018566306208 C4(263,401) = 3208 Sum = 4426.466508362243406 Averaged sum = 0.4422486270718596669 logp*logq = 33.39927633588428825 -------------- ************************************* p = 263; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 357210784095632.2066 -------------- Searches starting with [263,409]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(263,409) = 0.6053805170693409441 D2(263,409) = 0.1193442168264890154 C1(263,409) = 0.8270463580093314634 C2(263,409) = 1.760454908271684219 C3(263,409) = 4.139955746080914110 C4(263,409) = 3272 Sum = 4357.776495007081396 Averaged sum = 0.4353858022786573480 logp*logq = 33.50934715511243229 -------------- ************************************* p = 263; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 408677230205712.4771 -------------- Searches starting with [263,419]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(263,419) = 0.9571644849736946712 D2(263,419) = 0.07423681953562643497 C1(263,419) = 1.598190644385921963 C2(263,419) = 1.136832782730105619 C3(263,419) = 15.56994792457896349 C4(263,419) = 3352 Sum = 3740.807683796917501 Averaged sum = 0.3737443984211127486 logp*logq = 33.64394679221300830 -------------- ************************************* p = 263; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 419666267088897.9902 -------------- Searches starting with [263,421]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(263,421) = 0.6062395089553442778 D2(263,421) = 0.1051399094558216061 C1(263,421) = 0.8097151621442277905 C2(263,421) = 1.781008976319882777 C3(263,421) = 4.018520850722362866 C4(263,421) = 3368 Sum = 3973.766500098231732 Averaged sum = 0.3970193326104737468 logp*logq = 33.67048090917303294 -------------- ************************************* p = 263; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 478314056143973.3092 -------------- Searches starting with [263,431]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(263,431) = 0.6559863520756630397 D2(263,431) = 0.03044093603675723770 C1(263,431) = 0.9089619904292287602 C2(263,431) = 2.014594353897932569 C3(263,431) = 4.765480029290013986 C4(263,431) = 3448 Sum = 4411.704557957178637 Averaged sum = 0.4407737594122468415 logp*logq = 33.80128865389775652 -------------- ************************************* p = 263; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 490813683997802.9694 -------------- Searches starting with [263,433]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(263,433) = 0.5938881772548089885 D2(263,433) = 0.05515089526095578983 C1(263,433) = 0.8316684237460014839 C2(263,433) = 2.040063169731940700 C3(263,433) = 4.172956587482693388 C4(263,433) = 3464 Sum = 4354.459768517408081 Averaged sum = 0.4350544278666608134 logp*logq = 33.82708570938275507 -------------- ************************************* p = 263; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 529931006904931.6184 -------------- Searches starting with [263,439]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(263,439) = 0.9165027839731357572 D2(263,439) = 0.08448994569792216951 C1(263,439) = 1.262220032562765895 C2(263,439) = 1.801747555601601254 C3(263,439) = 8.742694808892857461 C4(263,439) = 3512 Sum = 4271.586537762907058 Averaged sum = 0.4267745566752829511 logp*logq = 33.90376793835005787 -------------- ************************************* p = 263; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 557402861440946.4969 -------------- Searches starting with [263,443]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(263,443) = 0.7011607950605748328 D2(263,443) = 0.07975106006411893164 C1(263,443) = 0.9314066703387442308 C2(263,443) = 1.798662349997525755 C3(263,443) = 4.952801287126294450 C4(263,443) = 3544 Sum = 3780.274459257830067 Averaged sum = 0.3776875271513467946 logp*logq = 33.95430936451353606 -------------- ************************************* p = 263; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 600793386523980.0361 -------------- Searches starting with [263,449]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(263,449) = 0.7418643191105910439 D2(263,449) = 0.06688361892637895109 C1(263,449) = 1.000882276118692915 C2(263,449) = 1.647509301009964151 C3(263,449) = 5.580605356137383997 C4(263,449) = 3592 Sum = 4315.964184094736646 Averaged sum = 0.4312083309116531767 logp*logq = 34.02927220853489782 -------------- ************************************* p = 263; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 662922530502679.1513 -------------- Searches starting with [263,457]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(263,457) = 0.7380618387069582756 D2(263,457) = 0.04616028528165649096 C1(263,457) = 1.266956340784474061 C2(263,457) = 1.290688327998651228 C3(263,457) = 8.814115022101486653 C4(263,457) = 3656 Sum = 4422.594976448018427 Averaged sum = 0.4418618220049973451 logp*logq = 34.12767925238332640 -------------- ************************************* p = 263; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 695908036616679.8791 -------------- Searches starting with [263,461]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(263,461) = 0.8729357541909437986 D2(263,461) = 0.05647527713877344897 C1(263,461) = 1.171023731186498673 C2(263,461) = 1.276019853514943682 C3(263,461) = 7.474992643386561765 C4(263,461) = 3688 Sum = 4528.049897589260825 Averaged sum = 0.4523978317103867345 logp*logq = 34.17623863623498516 -------------- ************************************* p = 263; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 712898772944052.7152 -------------- Searches starting with [263,463]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(263,463) = 0.6496856723683323862 D2(263,463) = 0.05886078756322044575 C1(263,463) = 0.9073829422604453710 C2(263,463) = 1.825129062756700257 C3(263,463) = 4.752571370131613910 C4(263,463) = 3704 Sum = 4463.591045688194329 Averaged sum = 0.4459577426004790018 logp*logq = 34.20036055283316157 -------------- ************************************* p = 263; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 747902214599305.5794 -------------- Searches starting with [263,467]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(263,467) = 0.5657826255283836828 D2(263,467) = 0.05459654010582806444 C1(263,467) = 0.7737723324632091915 C2(263,467) = 1.822464453768340485 C3(263,467) = 3.777913799137356200 C4(263,467) = 3736 Sum = 4275.690079768816978 Averaged sum = 0.4271845418891814345 logp*logq = 34.24829335621191254 -------------- ************************************* p = 263; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 861474325408758.8712 -------------- Searches starting with [263,479]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(263,479) = 0.5585213961426294258 D2(263,479) = 0.03660917645659476011 C1(263,479) = 0.7828637057549417852 C2(263,479) = 1.570915514863858107 C3(263,479) = 3.837376565099581992 C4(263,479) = 3832 Sum = 4034.681955986142462 Averaged sum = 0.4031054007379500911 logp*logq = 34.38966636925714968 -------------- ************************************* p = 263; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 944768354268765.1019 -------------- Searches starting with [263,487]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(263,487) = 0.8936286699860123877 D2(263,487) = 0.02244553106036918961 C1(263,487) = 1.560437517261045618 C2(263,487) = 1.178606389375910010 C3(263,487) = 14.59225648633922035 C4(263,487) = 3896 Sum = 4190.245923362214549 Averaged sum = 0.4186478093078443949 logp*logq = 34.48196088561565097 -------------- ************************************* p = 263; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 988827616800858.8398 -------------- Searches starting with [263,491]-exponents: u = 1, v = 8 n_start has 24 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(263,491) = 0.7576207937801987657 D2(263,491) = 0.03146790961679631164 C1(263,491) = 1.322823416987080754 C2(263,491) = 1.855063835122010088 C3(263,491) = 9.701901113346288437 C4(263,491) = 3928 Sum = 4165.483226734131873 Averaged sum = 0.4161737662837578052 logp*logq = 34.52754113185446922 -------------- ************************************* p = 263; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1082011395077010.797 -------------- Searches starting with [263,499]-exponents: u = 1, v = 8 n_start has 25 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(263,499) = 0.9715233150594605742 D2(263,499) = 0.02386250515051599290 C1(263,499) = 1.336325915975034925 C2(263,499) = 1.850533121686063657 C3(263,499) = 9.929560358726308470 C4(263,499) = 3992 Sum = 4745.294937100913642 Averaged sum = 0.4741028011890212451 logp*logq = 34.61759810677398393 -------------- ************************************* p = 263; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1131235280162104.826 -------------- Searches starting with [263,503]-exponents: u = 1, v = 8 n_start has 25 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(263,503) = 0.6810611182313884506 D2(263,503) = 0.02015738418714162432 C1(263,503) = 0.9832707740574024234 C2(263,503) = 1.848346522660846555 C3(263,503) = 5.414305088244038669 C4(263,503) = 4024 Sum = 3775.444975074582507 Averaged sum = 0.3772050129957620648 logp*logq = 34.66208659884662808 -------------- ************************************* p = 263; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1208504869888026.468 -------------- Searches starting with [263,509]-exponents: u = 1, v = 8 n_start has 25 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(263,509) = 0.6246895160717481519 D2(263,509) = 0.01344706789221149640 C1(263,509) = 0.8385671568736486737 C2(263,509) = 1.686095494428338034 C3(263,509) = 4.222702457601066420 C4(263,509) = 4072 Sum = 4286.582869389136572 Averaged sum = 0.4282728413816701540 logp*logq = 34.72816034576030636 -------------- ************************************* p = 263; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1376062864037799.418 -------------- Searches starting with [263,521]-exponents: u = 55, v = 8 n_start has 155 digits starting right neighbors generation We generated 888 left neighbors We generated 9122 right neighbors We generated 10009 non-negative rho_i D1(263,521) = 0.5776733356621518171 D2(263,521) = 0.003286081958326080008 C1(263,521) = 0.7853090424440808050 C2(263,521) = 1.430267662411982930 C3(263,521) = 3.853529576987814751 C4(263,521) = 4168 Sum = 4337.398467427367745 Averaged sum = 0.4333498318940321456 logp*logq = 34.85800281945224242 -------------- ************************************* p = 263; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1405756651509803.900 -------------- Searches starting with [263,523]-exponents: u = 82, v = 8 n_start has 221 digits starting right neighbors generation We generated 1431 left neighbors We generated 8579 right neighbors We generated 10009 non-negative rho_i D1(263,523) = 0.7195115806674223044 D2(263,523) = 0.001849281219946804162 C1(263,523) = 0.9593516072219123549 C2(263,523) = 1.346049019282576146 C3(263,523) = 5.196350926124097038 C4(263,523) = 4184 Sum = 3910.336458841486454 Averaged sum = 0.3906820320552988764 logp*logq = 34.87935209473455494 -------------- ************************************* p = 263; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1697446759508428.696 -------------- Searches starting with [263,541]-exponents: u = 9, v = 23 n_start has 85 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(263,541) = 0.6800909679607140486 D2(263,541) = 0.07191455059159641224 C1(263,541) = 0.9360416031341815473 C2(263,541) = 1.679427292347440968 C3(263,541) = 4.992391911188387174 C4(263,541) = 4328 Sum = 4398.393788646059790 Averaged sum = 0.4394438793731701259 logp*logq = 35.06790161080970117 -------------- ************************************* p = 263; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1805041205693325.258 -------------- Searches starting with [263,547]-exponents: u = 9, v = 15 n_start has 63 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(263,547) = 0.6164303096564053963 D2(263,547) = 0.1177936738185334413 C1(263,547) = 0.8979713390347002879 C2(263,547) = 1.832591643316488956 C3(263,547) = 4.676353936377413410 C4(263,547) = 4376 Sum = 4020.519355043958871 Averaged sum = 0.4016904141316773774 logp*logq = 35.12935981507392145 -------------- ************************************* p = 263; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1996770250425839.414 -------------- Searches starting with [263,557]-exponents: u = 17, v = 7 n_start has 61 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(263,557) = 0.7088731269309974552 D2(263,557) = 0.1275635211860849827 C1(263,557) = 1.007506628514240441 C2(263,557) = 1.861761658701998435 C3(263,557) = 5.644470811624185667 C4(263,557) = 4456 Sum = 4396.972492952357999 Averaged sum = 0.4393018776053909481 logp*logq = 35.23030739536779102 -------------- ************************************* p = 263; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2119612357941418.212 -------------- Searches starting with [263,563]-exponents: u = 25, v = 7 n_start has 80 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(263,563) = 0.7192465195183424123 D2(263,563) = 0.08058567864965705666 C1(263,563) = 1.103078818705970740 C2(263,563) = 1.816814070435053767 C3(263,563) = 6.651541337463839339 C4(263,563) = 4504 Sum = 3782.275459238852048 Averaged sum = 0.3778874472213859575 logp*logq = 35.29000961684786903 -------------- ************************************* p = 263; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2248588184596968.866 -------------- Searches starting with [263,569]-exponents: u = 33, v = 7 n_start has 100 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(263,569) = 0.7222966929042632092 D2(263,569) = 0.03966262746803845660 C1(263,569) = 1.010570223581188585 C2(263,569) = 1.777899424192740163 C3(263,569) = 5.674253632005128959 C4(263,569) = 4552 Sum = 4437.223389558797940 Averaged sum = 0.4433233479427313357 logp*logq = 35.34907894067066230 -------------- ************************************* p = 263; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2292983902279120.115 -------------- Searches starting with [263,571]-exponents: u = 41, v = 7 n_start has 119 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(263,571) = 0.9135704688623963506 D2(263,571) = 0.02706022955442917022 C1(263,571) = 1.235468352244210041 C2(263,571) = 1.765961719480406306 C3(263,571) = 8.350028280958512231 C4(263,571) = 4568 Sum = 4295.617077989043670 Averaged sum = 0.4291754498939997672 logp*logq = 35.36863037838637146 -------------- ************************************* p = 263; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2430507361653595.008 -------------- Searches starting with [263,577]-exponents: u = 81, v = 7 n_start has 216 digits starting right neighbors generation We generated 3302 left neighbors We generated 6708 right neighbors We generated 10009 non-negative rho_i D1(263,577) = 0.7410019740251880639 D2(263,577) = 0.02081518506493117775 C1(263,577) = 1.024581495871304865 C2(263,577) = 1.660144742814514737 C3(263,577) = 5.812480076771734485 C4(263,577) = 4616 Sum = 4615.195429055376236 Averaged sum = 0.4611045488116071771 logp*logq = 35.42687642127332451 -------------- ************************************* p = 263; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2674717748302856.082 -------------- Searches starting with [263,587]-exponents: u = 8, v = 111 n_start has 327 digits --- performed 5000 steps in the continued fraction search [263,587]-exponents: u = 61, v = 14 --- starting right neighbors generation We generated 7701 left neighbors We generated 2309 right neighbors We generated 10009 non-negative rho_i D1(263,587) = 0.6651970913140396842 D2(263,587) = 0.01304173220026097200 C1(263,587) = 0.8981429387196633583 C2(263,587) = 1.601684349441220384 C3(263,587) = 4.677732592144914670 C4(263,587) = 4696 Sum = 4602.987660815485622 Averaged sum = 0.4598848696988196245 logp*logq = 35.52262025503845460 -------------- ************************************* p = 263; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2830661193664204.131 -------------- Searches starting with [263,593]-exponents: u = 8, v = 41 n_start has 134 digits starting right neighbors generation We generated 1162 left neighbors We generated 8848 right neighbors We generated 10009 non-negative rho_i D1(263,593) = 0.6741355776161859016 D2(263,593) = 0.04976026380133600562 C1(263,593) = 0.9631102409856518350 C2(263,593) = 1.716947631348415328 C3(263,593) = 5.230009772215163819 C4(263,593) = 4744 Sum = 4386.250033258978375 Averaged sum = 0.4382305957896871191 logp*logq = 35.57928671661405386 -------------- ************************************* p = 263; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2993988083492020.602 -------------- Searches starting with [263,599]-exponents: u = 8, v = 27 n_start has 95 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(263,599) = 0.8516334975515829126 D2(263,599) = 0.02312068989071120195 C1(263,599) = 1.168618284114442647 C2(263,599) = 1.615351254913834059 C3(263,599) = 7.444169452487917760 C4(263,599) = 4792 Sum = 4552.148314380590536 Averaged sum = 0.4548055064822250511 logp*logq = 35.63538270077061550 -------------- ************************************* p = 263; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3050117668868112.488 -------------- Searches starting with [263,601]-exponents: u = 8, v = 20 n_start has 75 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(263,601) = 0.7113566852274099363 D2(263,601) = 0.03272752097986887106 C1(263,601) = 1.067198283619381718 C2(263,601) = 1.702468764013741242 C3(263,601) = 6.253952609274744838 C4(263,601) = 4808 Sum = 3708.549194112382469 Averaged sum = 0.3705214501061427185 logp*logq = 35.65395656474257632 -------------- ************************************* p = 263; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3223710897134106.999 -------------- Searches starting with [263,607]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(263,607) = 0.9274839535780218786 D2(263,607) = 0.06334323471734005107 C1(263,607) = 1.435606390527039116 C2(263,607) = 1.849234703981550902 C3(263,607) = 11.77593903990368782 C4(263,607) = 4856 Sum = 3675.243068453217312 Averaged sum = 0.3671938323961651825 logp*logq = 35.70930954342947804 -------------- ************************************* p = 263; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3405329358605135.107 -------------- Searches starting with [263,613]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(263,613) = 0.6710505623998087439 D2(263,613) = 0.09377620669007250561 C1(263,613) = 0.9265952158576591760 C2(263,613) = 1.881354410876876075 C3(263,613) = 4.912034943114460547 C4(263,613) = 4904 Sum = 4236.074297345046349 Averaged sum = 0.4232265258612295283 logp*logq = 35.76411805776533981 -------------- ************************************* p = 263; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3531008212803023.855 -------------- Searches starting with [263,617]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(263,617) = 0.6380100810425609515 D2(263,617) = 0.1119256005742902786 C1(263,617) = 0.8698438258806294348 C2(263,617) = 1.435381348141358448 C3(263,617) = 4.455778555211589394 C4(263,617) = 4936 Sum = 4334.698975807445533 Averaged sum = 0.4330801254678235121 logp*logq = 35.80035983776842506 -------------- ************************************* p = 263; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3595260029889943.129 -------------- Searches starting with [263,619]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(263,619) = 0.9195258143319398311 D2(263,619) = 0.08506422244482570562 C1(263,619) = 1.502846930476241263 C2(263,619) = 1.195685397346647226 C3(263,619) = 13.21778081136592270 C4(263,619) = 4952 Sum = 3473.139012761879037 Averaged sum = 0.3470015998363352020 logp*logq = 35.81839271445262089 -------------- ************************************* p = 263; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4001242603415084.028 -------------- Searches starting with [263,631]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(263,631) = 0.5684350534356699892 D2(263,631) = 0.06401601943721503868 C1(263,631) = 0.7660307612269406325 C2(263,631) = 1.877168106586701099 C3(263,631) = 3.728006434784698675 C4(263,631) = 5048 Sum = 4267.667784264534147 Averaged sum = 0.4263830336961269005 logp*logq = 35.92538135864236110 -------------- ************************************* p = 263; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4367624434151093.794 -------------- Searches starting with [263,641]-exponents: u = 22, v = 6 n_start has 71 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(263,641) = 0.8027856903406611687 D2(263,641) = 0.01259148240613955010 C1(263,641) = 1.212328849436015722 C2(263,641) = 1.828811770599518599 C3(263,641) = 8.024636012893830338 C4(263,641) = 5128 Sum = 3874.362625618661418 Averaged sum = 0.3870878834667460703 logp*logq = 36.01299564846417940 -------------- ************************************* p = 263; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4444102795875330.411 -------------- Searches starting with [263,643]-exponents: u = 29, v = 6 n_start has 88 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(263,643) = 0.5887640753338295781 D2(263,643) = 0.003143864950339561129 C1(263,643) = 0.8113731562267529549 C2(263,643) = 1.819971959270965241 C3(263,643) = 4.029982200634972912 C4(263,643) = 5144 Sum = 4042.877319413356346 Averaged sum = 0.4039242001611905631 logp*logq = 36.03035439780563031 -------------- ************************************* p = 263; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4600357913005427.397 -------------- Searches starting with [263,647]-exponents: u = 36, v = 6 n_start has 104 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(263,647) = 0.6866511845439878829 D2(263,647) = 0.05812653488761448761 C1(263,647) = 0.9217420858119856394 C2(263,647) = 1.766272707017422286 C3(263,647) = 4.871255402205762047 C4(263,647) = 5176 Sum = 4119.030420005853944 Averaged sum = 0.4115326626042415770 logp*logq = 36.06491050255400625 -------------- ************************************* p = 263; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4843171335958415.454 -------------- Searches starting with [263,653]-exponents: u = 50, v = 6 n_start has 138 digits starting right neighbors generation We generated 1260 left neighbors We generated 8750 right neighbors We generated 10009 non-negative rho_i D1(263,653) = 0.7219716353891668936 D2(263,653) = 0.006019238809364541085 C1(263,653) = 1.028721303247269690 C2(263,653) = 1.715903680537520373 C3(263,653) = 5.853961599850691823 C4(263,653) = 5224 Sum = 4527.829557627152751 Averaged sum = 0.4523758175269410282 logp*logq = 36.11634613576884523 -------------- ************************************* p = 263; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5096402606776054.847 -------------- Searches starting with [263,659]-exponents: u = 106, v = 6 n_start has 274 digits starting right neighbors generation We generated 5060 left neighbors We generated 4950 right neighbors We generated 10009 non-negative rho_i D1(263,659) = 0.7658718546360626610 D2(263,659) = 0.006516263852313130974 C1(263,659) = 1.047981394292753737 C2(263,659) = 1.585671145054497322 C3(263,659) = 6.050877243965546811 C4(263,659) = 5272 Sum = 4354.474051123358326 Averaged sum = 0.4350558548429771532 logp*logq = 36.16731131452925727 -------------- ************************************* p = 263; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5183187672473811.351 -------------- Searches starting with [263,661]-exponents: u = 148, v = 6 n_start has 376 digits --- performed 5000 steps in the continued fraction search [263,661]-exponents: u = 56, v = 45 --- starting right neighbors generation We generated 9422 left neighbors We generated 588 right neighbors We generated 10009 non-negative rho_i D1(263,661) = 0.6239197050483265843 D2(263,661) = 0.009524602997743206638 C1(263,661) = 0.8364263691254928703 C2(263,661) = 1.507820558426487001 C3(263,661) = 4.207202383678687147 C4(263,661) = 5288 Sum = 4702.453687208567002 Averaged sum = 0.4698225284452559698 logp*logq = 36.18419664269941526 -------------- ************************************* p = 263; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5729748283519179.402 -------------- Searches starting with [263,673]-exponents: u = 7, v = 83 n_start has 252 digits starting right neighbors generation We generated 4262 left neighbors We generated 5748 right neighbors We generated 10009 non-negative rho_i D1(263,673) = 0.5902887891998269870 D2(263,673) = 0.005674220338906438738 C1(263,673) = 0.8119415141326905698 C2(263,673) = 1.604279938582918673 C3(263,673) = 4.033918653235626126 C4(263,673) = 5384 Sum = 4204.364654092421094 Averaged sum = 0.4200584128376881901 logp*logq = 36.28444799509459665 -------------- ************************************* p = 263; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5922104460128858.206 -------------- Searches starting with [263,677]-exponents: u = 7, v = 53 n_start has 167 digits starting right neighbors generation We generated 1813 left neighbors We generated 8197 right neighbors We generated 10009 non-negative rho_i D1(263,677) = 0.5610169299972940832 D2(263,677) = 0.02002659890533370196 C1(263,677) = 0.7945275252810938385 C2(263,677) = 1.681258906515061319 C3(263,677) = 3.915037244492876790 C4(263,677) = 5416 Sum = 4049.253278889387465 Averaged sum = 0.4045612227884291602 logp*logq = 36.31746826376731640 -------------- ************************************* p = 263; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6220549536910978.485 -------------- Searches starting with [263,683]-exponents: u = 7, v = 35 n_start has 117 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(263,683) = 0.6367603210659451627 D2(263,683) = 0.01937661962411878479 C1(263,683) = 0.9313163906293048220 C2(263,683) = 1.766343623083413472 C3(263,683) = 4.952033262132950246 C4(263,683) = 5464 Sum = 3767.591757099424811 Averaged sum = 0.3764203973523253882 logp*logq = 36.36663464774483107 -------------- ************************************* p = 263; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6637569033480594.376 -------------- Searches starting with [263,691]-exponents: u = 7, v = 23 n_start has 83 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(263,691) = 0.7280884997249742539 D2(263,691) = 0.07843153166348364066 C1(263,691) = 1.007428016109045501 C2(263,691) = 1.827282925272617472 C3(263,691) = 5.643708639669455916 C4(263,691) = 5528 Sum = 4190.514006174681469 Averaged sum = 0.4186745934833331470 logp*logq = 36.43152218194904074 -------------- ************************************* p = 263; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7190831765541239.004 -------------- Searches starting with [263,701]-exponents: u = 7, v = 17 n_start has 66 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(263,701) = 0.7494159406269543922 D2(263,701) = 0.009347512779769868573 C1(263,701) = 1.015163932012786728 C2(263,701) = 1.761321075145732940 C3(263,701) = 5.719206227839716370 C4(263,701) = 5608 Sum = 4125.188549834511750 Averaged sum = 0.4121479218537827705 logp*logq = 36.51158324361639532 -------------- ************************************* p = 263; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7660196559156821.013 -------------- Searches starting with [263,709]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(263,709) = 0.7805907812935389679 D2(263,709) = 0.03609169792309087125 C1(263,709) = 1.052328878824587952 C2(263,709) = 1.916769452363663404 C3(263,709) = 6.096234526880644698 C4(263,709) = 5672 Sum = 4242.858910103551608 Averaged sum = 0.4239043770709912687 logp*logq = 36.57481403879829806 -------------- ************************************* p = 263; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8281965277767698.062 -------------- Searches starting with [263,719]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(263,719) = 0.5836619946266049689 D2(263,719) = 0.07078523599561465618 C1(263,719) = 0.8093418277743138858 C2(263,719) = 1.953931632714115620 C3(263,719) = 4.015944571559532490 C4(263,719) = 5752 Sum = 4294.532383494523748 Averaged sum = 0.4290670779792710308 logp*logq = 36.65285668753163521 -------------- ************************************* p = 263; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8808673354883984.264 -------------- Searches starting with [263,727]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(263,727) = 0.7506852885366342477 D2(263,727) = 0.06736252192032360956 C1(263,727) = 1.004147838968790314 C2(263,727) = 1.329131551658331382 C3(263,727) = 5.611997862581439384 C4(263,727) = 5816 Sum = 4139.373266532876525 Averaged sum = 0.4135651180470453117 logp*logq = 36.71451323951123491 -------------- ************************************* p = 263; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9221480769324178.115 -------------- Searches starting with [263,733]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(263,733) = 0.6157579314125984845 D2(263,733) = 0.05418889328590848588 C1(263,733) = 0.8439779003880422103 C2(263,733) = 1.967298683926753842 C3(263,733) = 4.262133225356188308 C4(263,733) = 5864 Sum = 4141.734950292475382 Averaged sum = 0.4138010740625912061 logp*logq = 36.76031202363191377 -------------- ************************************* p = 263; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9650030240110987.561 -------------- Searches starting with [263,739]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(263,739) = 0.6483853757887967683 D2(263,739) = 0.03033852433215843759 C1(263,739) = 0.9697556601934853270 C2(263,739) = 1.945098203111892427 C3(263,739) = 5.290054382526908935 C4(263,739) = 5912 Sum = 3867.710790963140127 Averaged sum = 0.3864232981279988138 logp*logq = 36.80573744394692760 -------------- ************************************* p = 263; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9944704775710216.051 -------------- Searches starting with [263,743]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(263,743) = 0.6564401183916498277 D2(263,743) = 0.01527776543058948164 C1(263,743) = 0.9218597962451242927 C2(263,743) = 1.931129832777510284 C3(263,743) = 4.872240473668708408 C4(263,743) = 5944 Sum = 4314.392192349026436 Averaged sum = 0.4310512730891224334 logp*logq = 36.83581662107566145 -------------- ************************************* p = 263; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10556225770029710.67 -------------- Searches starting with [263,751]-exponents: u = 19, v = 5 n_start has 61 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(263,751) = 0.5579251977024814689 D2(263,751) = 0.1481383365944613224 C1(263,751) = 0.8834179999256411752 C2(263,751) = 1.944910419623930887 C3(263,751) = 4.560896811063488498 C4(263,751) = 6008 Sum = 4240.610839834117580 Averaged sum = 0.4236797721884421600 logp*logq = 36.89549220116216253 -------------- ************************************* p = 263; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11034831704216309.57 -------------- Searches starting with [263,757]-exponents: u = 19, v = 5 n_start has 61 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(263,757) = 0.6215287126000426453 D2(263,757) = 0.09732957750833773122 C1(263,757) = 0.8736835998377051558 C2(263,757) = 1.895651725879184472 C3(263,757) = 4.485265535310575205 C4(263,757) = 6056 Sum = 3976.198809057319378 Averaged sum = 0.3972623447954160634 logp*logq = 36.93983318341258384 -------------- ************************************* p = 263; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11363683609365014.87 -------------- Searches starting with [263,761]-exponents: u = 25, v = 5 n_start has 75 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(263,761) = 0.8582222578689374947 D2(263,761) = 0.06751635645114446342 C1(263,761) = 1.119688390717424077 C2(263,761) = 1.866864995618973981 C3(263,761) = 6.844053867204350230 C4(263,761) = 6088 Sum = 3385.397835372712478 Averaged sum = 0.3382353717027387829 logp*logq = 36.96919901703009425 -------------- ************************************* p = 263; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12045534917576694.41 -------------- Searches starting with [263,769]-exponents: u = 31, v = 5 n_start has 90 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(263,769) = 0.7313034509399495154 D2(263,769) = 0.01477906092239442766 C1(263,769) = 0.9702422603758004665 C2(263,769) = 1.816164415517527723 C3(263,769) = 5.294478044113960382 C4(263,769) = 6152 Sum = 3894.129046656766957 Averaged sum = 0.3890627481923036224 logp*logq = 37.02747043991892474 -------------- ************************************* p = 263; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12398838771709654.01 -------------- Searches starting with [263,773]-exponents: u = 31, v = 5 n_start has 90 digits starting right neighbors generation We generated 367 left neighbors We generated 9643 right neighbors We generated 10009 non-negative rho_i D1(263,773) = 0.8444761528620259433 D2(263,773) = 0.06886060801556320657 C1(263,773) = 1.246215335536185074 C2(263,773) = 1.788239721825942272 C3(263,773) = 8.505609585180675086 C4(263,773) = 6184 Sum = 4435.512705049108910 Averaged sum = 0.4431524333149274563 logp*logq = 37.05637921569371106 -------------- ************************************* p = 263; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13703051249671518.48 -------------- Searches starting with [263,787]-exponents: u = 67, v = 5 n_start has 177 digits starting right neighbors generation We generated 1753 left neighbors We generated 8257 right neighbors We generated 10009 non-negative rho_i D1(263,787) = 0.8710380916166434734 D2(263,787) = 0.02124842516011911012 C1(263,787) = 1.219778797830703685 C2(263,787) = 1.633383123996800831 C3(263,787) = 8.127990291249518822 C4(263,787) = 6296 Sum = 5012.199732004065423 Averaged sum = 0.5007692808476436630 logp*logq = 37.15639492190070561 -------------- ************************************* p = 263; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14701873606743603.30 -------------- Searches starting with [263,797]-exponents: u = 229, v = 5 n_start has 569 digits --- performed 5000 steps in the continued fraction search [263,797]-exponents: u = 200, v = 6 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(263,797) = 0.5458304301178585909 D2(263,797) = 0.1485305174037616991 C1(263,797) = 0.7183857289119622444 C2(263,797) = 1.417398206296118602 C3(263,797) = 3.435044423883605533 C4(263,797) = 6376 Sum = 4956.113688459632245 Averaged sum = 0.4956609349394571702 logp*logq = 37.22675133681458075 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(263,797) = 0.5458304301178585909 D2(263,797) = 0.1485305174037616991 C1(263,797) = 0.7183857289119622444 C2(263,797) = 1.417398206296118602 C3(263,797) = 3.435044423883605533 C4(263,797) = 6376 Sum = 4956.113688459632245 Averaged sum = 0.4956609349394571702 logp*logq = 37.22675133681458075 -------------- ************************************* p = 263; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15978539480208350.17 -------------- Searches starting with [263,809]-exponents: u = 6, v = 119 n_start has 361 digits --- performed 5000 steps in the continued fraction search [263,809]-exponents: u = 44, v = 45 --- starting right neighbors generation We generated 7678 left neighbors We generated 2332 right neighbors We generated 10009 non-negative rho_i D1(263,809) = 0.6003752576205865943 D2(263,809) = 0.01031607968663709013 C1(263,809) = 0.8081831561139164700 C2(263,809) = 1.485803316481856287 C3(263,809) = 4.007959405719254032 C4(263,809) = 6472 Sum = 4597.935532285138759 Averaged sum = 0.4593801111284982275 logp*logq = 37.31002293433898374 -------------- ************************************* p = 263; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16199898089323019.22 -------------- Searches starting with [263,811]-exponents: u = 6, v = 94 n_start has 288 digits starting right neighbors generation We generated 4881 left neighbors We generated 5129 right neighbors We generated 10009 non-negative rho_i D1(263,811) = 0.6383257483618438063 D2(263,811) = 0.01215322112107410009 C1(263,811) = 0.8702741946928339374 C2(263,811) = 1.537283802578654509 C3(263,811) = 4.459073839628184996 C4(263,811) = 6488 Sum = 4335.663614732647097 Averaged sum = 0.4331765026209058944 logp*logq = 37.32378134634670692 -------------- ************************************* p = 263; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17344787126555270.89 -------------- Searches starting with [263,821]-exponents: u = 6, v = 44 n_start has 143 digits starting right neighbors generation We generated 1177 left neighbors We generated 8833 right neighbors We generated 10009 non-negative rho_i D1(263,821) = 0.9244491341091643005 D2(263,821) = 0.01311235322851980117 C1(263,821) = 1.260997526176422816 C2(263,821) = 1.701827318573045742 C3(263,821) = 8.724354421818478572 C4(263,821) = 6568 Sum = 4525.688411310854299 Averaged sum = 0.4521618954252027474 logp*logq = 37.39206840235741836 -------------- ************************************* p = 263; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17581541381195705.88 -------------- Searches starting with [263,823]-exponents: u = 6, v = 39 n_start has 129 digits starting right neighbors generation We generated 892 left neighbors We generated 9118 right neighbors We generated 10009 non-negative rho_i D1(263,823) = 0.7609218942497521731 D2(263,823) = 0.03197894857228852053 C1(263,823) = 1.020759650945555649 C2(263,823) = 1.721061704108003486 C3(263,823) = 5.774445577965173230 C4(263,823) = 6584 Sum = 4289.584458230024377 Averaged sum = 0.4285727303656733317 logp*logq = 37.40562596143546133 -------------- ************************************* p = 263; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18063008610595744.96 -------------- Searches starting with [263,827]-exponents: u = 6, v = 34 n_start has 114 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(263,827) = 0.8952099567259773330 D2(263,827) = 0.006365286148107011848 C1(263,827) = 1.211637088338332209 C2(263,827) = 1.764943285484346833 C3(263,827) = 8.015106044947553861 C4(263,827) = 6616 Sum = 4307.689969902057649 Averaged sum = 0.4303816535020539164 logp*logq = 37.43264251875897943 -------------- ************************************* p = 263; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18307767798496622.10 -------------- Searches starting with [263,829]-exponents: u = 6, v = 29 n_start has 100 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(263,829) = 0.6480880729959465772 D2(263,829) = 0.02035110994972833172 C1(263,829) = 0.9478732424932815604 C2(263,829) = 1.779309224092675845 C3(263,829) = 5.094896280751103023 C4(263,829) = 6632 Sum = 3968.249999838657559 Averaged sum = 0.3964681786231049615 logp*logq = 37.44610183455941632 -------------- ************************************* p = 263; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19572756769415693.43 -------------- Searches starting with [263,839]-exponents: u = 6, v = 24 n_start has 85 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(263,839) = 0.7733097876683465202 D2(263,839) = 0.09907433549774875687 C1(263,839) = 1.167817683102881758 C2(263,839) = 1.859919159302555597 C3(263,839) = 7.433938837114099113 C4(263,839) = 6712 Sum = 2939.546035236971693 Averaged sum = 0.2936902822696544803 logp*logq = 37.51291503351155979 -------------- ************************************* p = 263; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21463446594811063.71 -------------- Searches starting with [263,853]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(263,853) = 0.5829157258602156021 D2(263,853) = 0.06290786449879019926 C1(263,853) = 0.7963558695824978453 C2(263,853) = 1.921441447102991776 C3(263,853) = 3.927352516942147296 C4(263,853) = 6824 Sum = 4217.562049597624668 Averaged sum = 0.4213769656906408900 logp*logq = 37.60512772475394550 -------------- ************************************* p = 263; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22030325461549254.40 -------------- Searches starting with [263,857]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(263,857) = 0.6979623155745550871 D2(263,857) = 0.08433715346149894687 C1(263,857) = 1.022987848731132135 C2(263,857) = 1.943649747033751737 C3(263,857) = 5.796589952142807427 C4(263,857) = 6856 Sum = 3748.453170073786508 Averaged sum = 0.3745082595737622648 logp*logq = 37.63119632917682830 -------------- ************************************* p = 263; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22318337370847260.52 -------------- Searches starting with [263,859]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(263,859) = 0.6144869932852994398 D2(263,859) = 0.09551758759784030808 C1(263,859) = 0.8290314249731956249 C2(263,859) = 1.955218300239366383 C3(263,859) = 4.154096725672477545 C4(263,859) = 6872 Sum = 4146.282528182524916 Averaged sum = 0.4142554229376086438 logp*logq = 37.64418503909579824 -------------- ************************************* p = 263; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22903633937634038.33 -------------- Searches starting with [263,863]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(263,863) = 0.6603340804762589708 D2(263,863) = 0.1189520863148812331 C1(263,863) = 0.8824887832237256791 C2(263,863) = 1.979426285938949581 C3(263,863) = 4.553622553688378545 C4(263,863) = 6904 Sum = 4218.630092897286387 Averaged sum = 0.4214836739831438093 logp*logq = 37.67007198011431956 -------------- ************************************* p = 263; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25052268109282046.23 -------------- Searches starting with [263,877]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(263,877) = 0.7451210349003333499 D2(263,877) = 0.1140206977635247954 C1(263,877) = 1.081367541940264783 C2(263,877) = 1.897550852585052049 C3(263,877) = 6.408039500402917956 C4(263,877) = 7016 Sum = 3671.010300396740727 Averaged sum = 0.3667709361970966857 logp*logq = 37.75974076162747570 -------------- ************************************* p = 263; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25695636664084469.37 -------------- Searches starting with [263,881]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(263,881) = 0.6297573811714180608 D2(263,881) = 0.1016066300596940870 C1(263,881) = 0.8523566289682622091 C2(263,881) = 1.885962012650174024 C3(263,881) = 4.323920953303920734 C4(263,881) = 7048 Sum = 4172.312003685185446 Averaged sum = 0.4168560299415711306 logp*logq = 37.78509759279006209 -------------- ************************************* p = 263; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26022367930949064.88 -------------- Searches starting with [263,883]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(263,883) = 1.101417344776154351 D2(263,883) = 0.09559537170176892592 C1(263,883) = 1.669212179397641160 C2(263,883) = 1.880361941340700469 C3(263,883) = 17.59020361606222460 C4(263,883) = 7064 Sum = 4309.674925705111699 Averaged sum = 0.4305799705969738934 logp*logq = 37.79773286811839939 -------------- ************************************* p = 263; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26686061637873310.22 -------------- Searches starting with [263,887]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(263,887) = 0.9895154154633653376 D2(263,887) = 0.07832245634543967187 C1(263,887) = 1.393771970650302506 C2(263,887) = 1.744543691972028974 C3(263,887) = 10.95938300160249910 C4(263,887) = 7096 Sum = 4657.548450305347906 Averaged sum = 0.4653360425922018090 logp*logq = 37.82291778797393025 -------------- ************************************* p = 263; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30216445169357958.76 -------------- Searches starting with [263,907]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(263,907) = 1.464163658053159836 D2(263,907) = 0.01888987001547371649 C1(263,907) = 2.513064686907809432 C2(263,907) = 1.089394474038716865 C3(263,907) = 74.95564426865210818 C4(263,907) = 7256 Sum = 3095.234461401913396 Averaged sum = 0.3092451255272168445 logp*logq = 37.94716271311401920 -------------- ************************************* p = 263; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30966509676997521.96 -------------- Searches starting with [263,911]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(263,911) = 0.7952557048491613203 D2(263,911) = 0.02532296783549241790 C1(263,911) = 1.364953519307794986 C2(263,911) = 2.077984164127331169 C3(263,911) = 10.43006161148722494 C4(263,911) = 7288 Sum = 4109.053532943301747 Averaged sum = 0.4105358710104207960 logp*logq = 37.97168268241542267 -------------- ************************************* p = 263; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32512508248466842.85 -------------- Searches starting with [263,919]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(263,919) = 0.7631667626649124324 D2(263,919) = 0.004471327493232231008 C1(263,919) = 1.083353273265274607 C2(263,919) = 2.058987126281762328 C3(263,919) = 6.429934984415229207 C4(263,919) = 7352 Sum = 4531.640057315367252 Averaged sum = 0.4527565248591634780 logp*logq = 38.02040127938682533 -------------- ************************************* p = 263; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34533510464055757.32 -------------- Searches starting with [263,929]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(263,929) = 0.6826723896096289870 D2(263,929) = 0.07026676154126292047 C1(263,929) = 0.9635955675052871720 C2(263,929) = 1.753816032959997317 C3(263,929) = 5.234371770997692071 C4(263,929) = 7432 Sum = 4004.767794064604153 Averaged sum = 0.4001166743995008645 logp*logq = 38.08070656532282746 -------------- ************************************* p = 263; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36223527806893424.74 -------------- Searches starting with [263,937]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(263,937) = 0.6733987061056259937 D2(263,937) = 0.09302996054312391354 C1(263,937) = 0.9456749728997665661 C2(263,937) = 1.904243434018176023 C3(263,937) = 5.075693481145187957 C4(263,937) = 7496 Sum = 4026.322619080153869 Averaged sum = 0.4022702187111753291 logp*logq = 38.12848524204020470 -------------- ************************************* p = 263; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37093636367622790.15 -------------- Searches starting with [263,941]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(263,941) = 0.5820421674940055624 D2(263,941) = 0.1020744543956620106 C1(263,941) = 0.8478672639805094920 C2(263,941) = 1.914016298440005368 C3(263,941) = 4.290704204371846832 C4(263,941) = 7528 Sum = 3924.803727164236372 Averaged sum = 0.3921274580042198393 logp*logq = 38.15222182333255572 -------------- ************************************* p = 263; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38430898362846139.76 -------------- Searches starting with [263,947]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(263,947) = 0.6405824047102894582 D2(263,947) = 0.1155979699932581570 C1(263,947) = 0.8760673263317772583 C2(263,947) = 1.487422061606653482 C3(263,947) = 4.503669102673940109 C4(263,947) = 7576 Sum = 3994.209347914755453 Averaged sum = 0.3990617791902043614 logp*logq = 38.18763817581702325 -------------- ************************************* p = 263; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39807464687750564.66 -------------- Searches starting with [263,953]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(263,953) = 0.8630965565175090352 D2(263,953) = 0.08530173561343380015 C1(263,953) = 1.397835610238644558 C2(263,953) = 1.270366735792208360 C3(263,953) = 11.03615200897050621 C4(263,953) = 7624 Sum = 3538.055089737765699 Averaged sum = 0.3534873703404701467 logp*logq = 38.22283084458345020 -------------- ************************************* p = 263; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43177368018836861.65 -------------- Searches starting with [263,967]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(263,967) = 0.6360766973316013434 D2(263,967) = 0.05471473845713777315 C1(263,967) = 0.8598500404814112701 C2(263,967) = 1.981737517281685524 C3(263,967) = 4.379938415294439896 C4(263,967) = 7736 Sum = 4147.105854894949538 Averaged sum = 0.4143376815760764850 logp*logq = 38.30409286443039646 -------------- ************************************* p = 263; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44182031090613523.88 -------------- Searches starting with [263,971]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(263,971) = 0.7158894758976226875 D2(263,971) = 0.03682747946775854868 C1(263,971) = 0.9973304913495439387 C2(263,971) = 1.964689383148359073 C3(263,971) = 5.546660674439302688 C4(263,971) = 7768 Sum = 4019.737758482424857 Averaged sum = 0.4016123247559621197 logp*logq = 38.32709456492454887 -------------- ************************************* p = 263; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45724929970687809.54 -------------- Searches starting with [263,977]-exponents: u = 21, v = 4 n_start has 63 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(263,977) = 0.8086144341998242264 D2(263,977) = 0.01154435283365733197 C1(263,977) = 1.264851202177050575 C2(263,977) = 1.940658415631753969 C3(263,977) = 8.782299256600423411 C4(263,977) = 7816 Sum = 3281.251534372137513 Averaged sum = 0.3278301063415063955 logp*logq = 38.36142005765419056 -------------- ************************************* p = 263; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47311765094994182.87 -------------- Searches starting with [263,983]-exponents: u = 21, v = 4 n_start has 63 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(263,983) = 0.5797514750804266572 D2(263,983) = 0.1310741161404946410 C1(263,983) = 0.7755002261808752891 C2(263,983) = 1.967817155659660384 C3(263,983) = 3.789143850055067743 C4(263,983) = 7864 Sum = 4084.966000066210931 Averaged sum = 0.4081292836513348917 logp*logq = 38.39553539298891258 -------------- ************************************* p = 263; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49497571828388348.37 -------------- Searches starting with [263,991]-exponents: u = 21, v = 4 n_start has 63 digits starting right neighbors generation We generated 136 left neighbors We generated 9874 right neighbors We generated 10009 non-negative rho_i D1(263,991) = 1.167189952755813662 D2(263,991) = 0.07392955464758002361 C1(263,991) = 1.782576961344847108 C2(263,991) = 1.912263014874579943 C3(263,991) = 21.37192366053515629 C4(263,991) = 7928 Sum = 4838.291063768492569 Averaged sum = 0.4833940517302919941 logp*logq = 38.44070000931019189 -------------- ************************************* p = 263; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51190729393344450.57 -------------- Searches starting with [263,997]-exponents: u = 26, v = 4 n_start has 75 digits starting right neighbors generation We generated 255 left neighbors We generated 9755 right neighbors We generated 10009 non-negative rho_i D1(263,997) = 0.8947847650529369820 D2(263,997) = 0.03680840749781366367 C1(263,997) = 1.274954293604023328 C2(263,997) = 1.876326210676700448 C3(263,997) = 8.936045497641315933 C4(263,997) = 7976 Sum = 4557.874720272232255 Averaged sum = 0.4553776321582807728 logp*logq = 38.47433484402538186 -------------- ************************************* p = 269; q = 271; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40903547741331.72050 -------------- Searches starting with [269,271]-exponents: u = 1, v = 755 n_start has 1840 digits --- performed 5000 steps in the continued fraction search [269,271]-exponents: u = 485, v = 265 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,271) = 0.7386956748793834351 D2(269,271) = 0.2821330363755908076 C1(269,271) = 0.9305928442129097176 C2(269,271) = 1.203864135570958448 C3(269,271) = 4.964511997912486029 C4(269,271) = 2168 Sum = 5872.556566833429246 Averaged sum = 0.5873143881221551401 logp*logq = 31.34223791705729960 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,271) = 0.7386956748793834351 D2(269,271) = 0.2821330363755908076 C1(269,271) = 0.9305928442129097176 C2(269,271) = 1.203864135570958448 C3(269,271) = 4.964511997912486029 C4(269,271) = 2168 Sum = 5872.556566833429246 Averaged sum = 0.5873143881221551401 logp*logq = 31.34223791705729960 -------------- ************************************* p = 269; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46234839934157.30052 -------------- Searches starting with [269,277]-exponents: u = 1, v = 190 n_start has 467 digits **************************************************** Computing .... elapsed time = 31 minutes **************************************************** starting right neighbors generation We generated 4331 left neighbors We generated 5679 right neighbors We generated 10009 non-negative rho_i D1(269,277) = 0.8441485456291094642 D2(269,277) = 0.006454365344951720715 C1(269,277) = 1.120605913155139264 C2(269,277) = 1.130881095199883734 C3(269,277) = 6.885953692880637195 C4(269,277) = 2216 Sum = 5167.781642228426977 Averaged sum = 0.5163134820889626313 logp*logq = 31.46475474094625928 -------------- ************************************* p = 269; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50096237968591.95187 -------------- Searches starting with [269,281]-exponents: u = 1, v = 128 n_start has 316 digits starting right neighbors generation We generated 2073 left neighbors We generated 7937 right neighbors We generated 10009 non-negative rho_i D1(269,281) = 0.7260942371829081745 D2(269,281) = 0.009476724330539176674 C1(269,281) = 0.9833485781608865044 C2(269,281) = 1.204740775314832604 C3(269,281) = 5.436584283734122928 C4(269,281) = 2248 Sum = 4631.843987309108509 Averaged sum = 0.4627679076140581985 logp*logq = 31.54496703075267212 -------------- ************************************* p = 269; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52123968202874.40599 -------------- Searches starting with [269,283]-exponents: u = 1, v = 110 n_start has 273 digits starting right neighbors generation We generated 1574 left neighbors We generated 8436 right neighbors We generated 10009 non-negative rho_i D1(269,283) = 0.6648482195061608077 D2(269,283) = 0.006337470366245315361 C1(269,283) = 0.9079203482467724429 C2(269,283) = 1.231428980532271637 C3(269,283) = 4.774441517635521942 C4(269,283) = 2264 Sum = 4452.259758165848345 Averaged sum = 0.4448256327471124333 logp*logq = 31.58464600118252054 -------------- ************************************* p = 269; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63301258966708.96442 -------------- Searches starting with [269,293]-exponents: u = 1, v = 65 n_start has 163 digits starting right neighbors generation We generated 566 left neighbors We generated 9444 right neighbors We generated 10009 non-negative rho_i D1(269,293) = 0.7733132727041108467 D2(269,293) = 0.01959467368243132589 C1(269,293) = 1.045585779528249579 C2(269,293) = 1.358053496972461508 C3(269,293) = 6.051537318098432197 C4(269,293) = 2344 Sum = 4387.535755284313560 Averaged sum = 0.4383590523812881966 logp*logq = 31.77892633377045447 -------------- ************************************* p = 269; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82190452587409.37502 -------------- Searches starting with [269,307]-exponents: u = 1, v = 42 n_start has 107 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(269,307) = 0.8910194726205649940 D2(269,307) = 0.04746886444812794263 C1(269,307) = 1.206205312144819882 C2(269,307) = 1.497710329808601988 C3(269,307) = 7.979458463716460164 C4(269,307) = 2456 Sum = 4480.887984493287107 Averaged sum = 0.4476858811562880515 logp*logq = 32.04006026267325264 -------------- ************************************* p = 269; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88363908058954.17933 -------------- Searches starting with [269,311]-exponents: u = 1, v = 38 n_start has 98 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(269,311) = 0.6567292372654561607 D2(269,311) = 0.01202575140344505925 C1(269,311) = 0.9155219613186691418 C2(269,311) = 1.494686960789435630 C3(269,311) = 4.837343131316682733 C4(269,311) = 2488 Sum = 4533.028758724239682 Averaged sum = 0.4528952701293075913 logp*logq = 32.11248472232714073 -------------- ************************************* p = 269; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91590473363617.10919 -------------- Searches starting with [269,313]-exponents: u = 1, v = 36 n_start has 93 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(269,313) = 0.8494413329014744293 D2(269,313) = 0.03925845412624154386 C1(269,313) = 1.251517463164555209 C2(269,313) = 1.531265085537487990 C3(269,313) = 8.626941118918832700 C4(269,313) = 2504 Sum = 4852.577786480377195 Averaged sum = 0.4848214393526203611 logp*logq = 32.14834837961939015 -------------- ************************************* p = 269; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98334228634893.50321 -------------- Searches starting with [269,317]-exponents: u = 1, v = 34 n_start has 88 digits starting right neighbors generation We generated 200 left neighbors We generated 9810 right neighbors We generated 10009 non-negative rho_i D1(269,317) = 0.8332379896096172518 D2(269,317) = 0.009490169998857618504 C1(269,317) = 1.236774434896696724 C2(269,317) = 1.530924224974671078 C3(269,317) = 8.410703560160208948 C4(269,317) = 2536 Sum = 2698.369947193182282 Averaged sum = 0.2695943597955022762 logp*logq = 32.21939328832043910 -------------- ************************************* p = 269; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125230568296845.2608 -------------- Searches starting with [269,331]-exponents: u = 1, v = 26 n_start has 68 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(269,331) = 1.037125925006262917 D2(269,331) = 0.03214912559104686728 C1(269,331) = 1.573031201803080959 C2(269,331) = 1.628809938471267998 C3(269,331) = 15.00643853369747556 C4(269,331) = 2648 Sum = 5062.472481783505285 Averaged sum = 0.5057920353465386437 logp*logq = 32.46117770051898896 -------------- ************************************* p = 269; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138471300111125.5450 -------------- Searches starting with [269,337]-exponents: u = 1, v = 24 n_start has 64 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(269,337) = 0.6517269728951988011 D2(269,337) = 0.02403323603846667264 C1(269,337) = 0.8742260988361240735 C2(269,337) = 1.652010017283373842 C3(269,337) = 4.505331691575313337 C4(269,337) = 2696 Sum = 4310.254748457105346 Averaged sum = 0.4306379007350489905 logp*logq = 32.56168420066877613 -------------- ************************************* p = 269; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 163083574015007.9215 -------------- Searches starting with [269,347]-exponents: u = 1, v = 21 n_start has 56 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(269,347) = 1.027291430149902220 D2(269,347) = 0.08957344129547557562 C1(269,347) = 1.591417086701813788 C2(269,347) = 1.754560612661659501 C3(269,347) = 15.48910016187968934 C4(269,347) = 2776 Sum = 4669.940775558237539 Averaged sum = 0.4665741608110937695 logp*logq = 32.72528390935571654 -------------- ************************************* p = 269; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168412511540065.9522 -------------- Searches starting with [269,349]-exponents: u = 1, v = 21 n_start has 56 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(269,349) = 0.9224254521831061446 D2(269,349) = 0.01967863084146109801 C1(269,349) = 1.339655037211828905 C2(269,349) = 1.703664003143241160 C3(269,349) = 10.04070355784420519 C4(269,349) = 2792 Sum = 4476.248410436350367 Averaged sum = 0.4472223409367919240 logp*logq = 32.75743751153313324 -------------- ************************************* p = 269; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179499869384812.4701 -------------- Searches starting with [269,353]-exponents: u = 1, v = 20 n_start has 54 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(269,353) = 0.6314353428889504244 D2(269,353) = 0.1309937233427507443 C1(269,353) = 0.8636413741883504515 C2(269,353) = 1.816702089567234140 C3(269,353) = 4.423965680471746336 C4(269,353) = 2824 Sum = 4300.346893168223279 Averaged sum = 0.4296480061113221379 logp*logq = 32.82119559619540516 -------------- ************************************* p = 269; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 197249534704982.0468 -------------- Searches starting with [269,359]-exponents: u = 1, v = 19 n_start has 51 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(269,359) = 0.6017309573279621272 D2(269,359) = 0.002099581841960770718 C1(269,359) = 0.8257481558765124260 C2(269,359) = 1.731129927609452470 C3(269,359) = 4.144537238105265747 C4(269,359) = 2872 Sum = 4400.210424864702469 Averaged sum = 0.4396253796447899359 logp*logq = 32.91549071674164591 -------------- ************************************* p = 269; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 223134340992306.2354 -------------- Searches starting with [269,367]-exponents: u = 1, v = 18 n_start has 49 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(269,367) = 1.244399879123257790 D2(269,367) = 0.03139063342532555565 C1(269,367) = 1.972095496717425863 C2(269,367) = 1.786890717698992467 C3(269,367) = 29.83245602572232743 C4(269,367) = 2936 Sum = 1795.036964387348649 Averaged sum = 0.1793422883791935907 logp*logq = 33.03879513197745101 -------------- ************************************* p = 269; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 244325426941814.1282 -------------- Searches starting with [269,373]-exponents: u = 1, v = 17 n_start has 47 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(269,373) = 0.7051165890886744388 D2(269,373) = 0.0006429923730464426004 C1(269,373) = 1.125216014683898046 C2(269,373) = 1.783936582138834318 C3(269,373) = 6.940830341961456286 C4(269,373) = 2984 Sum = 4186.156622181083964 Averaged sum = 0.4182392468959020846 logp*logq = 33.12952216958592940 -------------- ************************************* p = 269; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267141974678145.2383 -------------- Searches starting with [269,379]-exponents: u = 1, v = 16 n_start has 44 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(269,379) = 0.7476705414306311697 D2(269,379) = 0.1244375299175248019 C1(269,379) = 1.073480715520222282 C2(269,379) = 1.910216679557917110 C3(269,379) = 6.349286532942246982 C4(269,379) = 3032 Sum = 3928.841007719843108 Averaged sum = 0.3925308230312561803 logp*logq = 33.21880137337256981 -------------- ************************************* p = 269; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 283303262919129.9770 -------------- Searches starting with [269,383]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(269,383) = 0.9436901338934530067 D2(269,383) = 0.02081586901539908883 C1(269,383) = 1.295764964894134817 C2(269,383) = 1.836117064936319534 C3(269,383) = 9.309880969208313897 C4(269,383) = 3064 Sum = 4441.486523465142229 Averaged sum = 0.4437492779963175371 logp*logq = 33.27753904023886207 -------------- ************************************* p = 269; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 309044135790708.5766 -------------- Searches starting with [269,389]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(269,389) = 1.057325500294033236 D2(269,389) = 0.1286428709497192315 C1(269,389) = 1.455280037385295024 C2(269,389) = 1.410422018282713159 C3(269,389) = 12.25253467722137103 C4(269,389) = 3112 Sum = 5126.593308913962638 Averaged sum = 0.5121983523742594303 logp*logq = 33.36450521690058777 -------------- ************************************* p = 269; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 346324185410077.2134 -------------- Searches starting with [269,397]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(269,397) = 0.8802594931205095080 D2(269,397) = 0.07960522183148959819 C1(269,397) = 1.195220399309399044 C2(269,397) = 1.931540467847668730 C3(269,397) = 7.829952828852255721 C4(269,397) = 3176 Sum = 4341.146316782409399 Averaged sum = 0.4337242798263971824 logp*logq = 33.47839640437292901 -------------- ************************************* p = 269; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 366303817061209.0839 -------------- Searches starting with [269,401]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(269,401) = 1.186153017403359438 D2(269,401) = 0.08635135793041188909 C1(269,401) = 1.940345424645013638 C2(269,401) = 1.065618177076273521 C3(269,401) = 28.24535344958861007 C4(269,401) = 3208 Sum = 1407.468856565531004 Averaged sum = 0.1406203273619273658 logp*logq = 33.53448420624654434 -------------- ************************************* p = 269; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 409108131488564.9635 -------------- Searches starting with [269,409]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(269,409) = 0.6781768961702341004 D2(269,409) = 0.06340530578374908892 C1(269,409) = 0.9886444730682866383 C2(269,409) = 1.954794055304485772 C3(269,409) = 5.486384961693187215 C4(269,409) = 3272 Sum = 4050.061275840453935 Averaged sum = 0.4046419498291991143 logp*logq = 33.64500061719671249 -------------- ************************************* p = 269; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 468306983405996.3347 -------------- Searches starting with [269,419]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(269,419) = 1.022053591275598016 D2(269,419) = 0.1183409423945535705 C1(269,419) = 1.397168409538981938 C2(269,419) = 1.763007502549152207 C3(269,419) = 11.08591033646907806 C4(269,419) = 3352 Sum = 4579.036257223443896 Averaged sum = 0.4574918830276195320 logp*logq = 33.78014514425540860 -------------- ************************************* p = 269; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 480951080614753.5640 -------------- Searches starting with [269,421]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(269,421) = 0.9466773718887960750 D2(269,421) = 0.01234643276166248400 C1(269,421) = 1.441243626279174340 C2(269,421) = 1.947678113788244031 C3(269,421) = 11.95996270263268725 C4(269,421) = 3368 Sum = 3694.329040377507826 Averaged sum = 0.3691007133956946574 logp*logq = 33.80678667735852653 -------------- ************************************* p = 269; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 548453689881081.9163 -------------- Searches starting with [269,431]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(269,431) = 0.6411920447486241176 D2(269,431) = 0.1045501477239221016 C1(269,431) = 1.071617077734590988 C2(269,431) = 1.783889829618810753 C3(269,431) = 6.328945265140708863 C4(269,431) = 3448 Sum = 4376.589953721685170 Averaged sum = 0.4372654564613532990 logp*logq = 33.93812396159821611 -------------- ************************************* p = 269; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 562845030452900.8275 -------------- Searches starting with [269,433]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(269,433) = 0.9163866486227100583 D2(269,433) = 0.1020128477341884137 C1(269,433) = 1.317691920343800454 C2(269,433) = 1.782181542711687524 C3(269,433) = 9.668088482117711741 C4(269,433) = 3464 Sum = 4005.512877154601611 Averaged sum = 0.4001911157113199731 logp*logq = 33.96402544943374426 -------------- ************************************* p = 269; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 607891851051257.7350 -------------- Searches starting with [269,439]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(269,439) = 0.6300903116817499262 D2(269,439) = 0.08702072979422454115 C1(269,439) = 0.8730203446011488074 C2(269,439) = 1.635096702395266106 C3(269,439) = 4.495987902702187246 C4(269,439) = 3512 Sum = 4375.739615847096283 Averaged sum = 0.4371804991354876893 logp*logq = 34.04101810551237222 -------------- ************************************* p = 269; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 639536067488070.6919 -------------- Searches starting with [269,443]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(269,443) = 0.5597788437631684687 D2(269,443) = 0.04436688616509042270 C1(269,443) = 0.7942460590324968161 C2(269,443) = 2.033021610237326584 C3(269,443) = 3.925721450073641486 C4(269,443) = 3544 Sum = 4351.486044424179251 Averaged sum = 0.4347573228518512590 logp*logq = 34.09176413486928228 -------------- ************************************* p = 269; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 689529395651622.9750 -------------- Searches starting with [269,449]-exponents: u = 1, v = 10 n_start has 29 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(269,449) = 0.7561046413203838041 D2(269,449) = 0.07503134591926808958 C1(269,449) = 1.280018656604080520 C2(269,449) = 1.287547505576046740 C3(269,449) = 9.060859379173674697 C4(269,449) = 3592 Sum = 4350.654113525746589 Averaged sum = 0.4346742045684630421 logp*logq = 34.16703044554047491 -------------- ************************************* p = 269; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 761138050084760.9251 -------------- Searches starting with [269,457]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(269,457) = 0.8299438074670456346 D2(269,457) = 0.07527778925010418804 C1(269,457) = 1.137630651805112641 C2(269,457) = 1.799087745512858043 C3(269,457) = 7.090793166570724932 C4(269,457) = 3656 Sum = 4524.593390619916863 Averaged sum = 0.4520524918193542675 logp*logq = 34.26583586349418600 -------------- ************************************* p = 269; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 799167619883640.1846 -------------- Searches starting with [269,461]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(269,461) = 0.7080994010735833147 D2(269,461) = 0.06505717635675041681 C1(269,461) = 0.9520801258334766189 C2(269,461) = 1.649513848784016209 C3(269,461) = 5.151625382737905998 C4(269,461) = 3688 Sum = 4107.581575500259696 Averaged sum = 0.4103888076231651210 logp*logq = 34.31459182678099952 -------------- ************************************* p = 269; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 818759408726494.2628 -------------- Searches starting with [269,463]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(269,463) = 0.6351462742334375947 D2(269,463) = 0.05964391734718130985 C1(269,463) = 0.8664822153610181839 C2(269,463) = 1.559106348056135044 C3(269,463) = 4.445658174441064187 C4(269,463) = 3704 Sum = 4152.245914423053835 Averaged sum = 0.4148512253394998336 logp*logq = 34.33881139438632639 -------------- ************************************* p = 269; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 859127315593786.6989 -------------- Searches starting with [269,467]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(269,467) = 1.031565073908313336 D2(269,467) = 0.03245148772347560175 C1(269,467) = 1.439251530963050894 C2(269,467) = 2.082191735628305961 C3(269,467) = 11.91900991011278338 C4(269,467) = 3736 Sum = 4205.123358616475666 Averaged sum = 0.4201342150680862890 logp*logq = 34.38693824065990411 -------------- ************************************* p = 269; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 990155942005883.7802 -------------- Searches starting with [269,479]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(269,479) = 0.6036962990879401417 D2(269,479) = 0.05316798557797325913 C1(269,479) = 0.8261434414971747683 C2(269,479) = 1.824936107235295628 C3(269,479) = 4.147359017477571983 C4(269,479) = 3832 Sum = 4120.804771155978230 Averaged sum = 0.4117099381712437037 logp*logq = 34.52888356383031618 -------------- ************************************* p = 269; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1086297705762576.255 -------------- Searches starting with [269,487]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(269,487) = 0.7417366320856314462 D2(269,487) = 0.04134951878457006224 C1(269,487) = 1.039405981286390157 C2(269,487) = 1.667606014349120398 C3(269,487) = 5.987487235488702953 C4(269,487) = 3896 Sum = 4548.395483206309571 Averaged sum = 0.4544305608158966501 logp*logq = 34.62155170939196101 -------------- ************************************* p = 269; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1137166997949610.747 -------------- Searches starting with [269,491]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(269,491) = 0.6700813344682930351 D2(269,491) = 0.03568212474078983977 C1(269,491) = 0.9190194325208771432 C2(269,491) = 1.573436836354771483 C3(269,491) = 4.866561606943568076 C4(269,491) = 3928 Sum = 4341.411350138314620 Averaged sum = 0.4337507593304340714 logp*logq = 34.66731647483899685 -------------- ************************************* p = 269; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1244783508416401.144 -------------- Searches starting with [269,499]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(269,499) = 0.8386589414831363565 D2(269,499) = 0.02175933615940147274 C1(269,499) = 1.465953334058497773 C2(269,499) = 2.144647434235559423 C3(269,499) = 12.47978758574241411 C4(269,499) = 3992 Sum = 4142.390222406026930 Averaged sum = 0.4138665423524854561 logp*logq = 34.75773802088477433 -------------- ************************************* p = 269; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1301646781207596.616 -------------- Searches starting with [269,503]-exponents: u = 1, v = 8 n_start has 25 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(269,503) = 0.8065336142464532754 D2(269,503) = 0.03068787473997600825 C1(269,503) = 1.409641454815846727 C2(269,503) = 1.858005836221152967 C3(269,503) = 11.32657034625372618 C4(269,503) = 4024 Sum = 4229.597771268366852 Averaged sum = 0.4225794556167815817 logp*logq = 34.80240661249635093 -------------- ************************************* p = 269; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1390928411412336.899 -------------- Searches starting with [269,509]-exponents: u = 1, v = 8 n_start has 25 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(269,509) = 0.5699532545168599270 D2(269,509) = 0.02510907346850710618 C1(269,509) = 0.7891366560865412249 C2(269,509) = 1.854681718983500822 C3(269,509) = 3.891336462038772147 C4(269,509) = 4072 Sum = 4132.418893618740664 Averaged sum = 0.4128703060863963097 logp*logq = 34.86874784097212086 -------------- ************************************* p = 269; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1584611951229080.866 -------------- Searches starting with [269,521]-exponents: u = 19, v = 8 n_start has 68 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(269,521) = 0.6445131948345952845 D2(269,521) = 0.01313230395360167991 C1(269,521) = 1.021405651467058475 C2(269,521) = 1.689854518816172482 C3(269,521) = 5.804761165412956157 C4(269,521) = 4168 Sum = 4089.010685597740643 Averaged sum = 0.4085333885101149608 logp*logq = 34.99911594654224202 -------------- ************************************* p = 269; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1618945892212213.944 -------------- Searches starting with [269,523]-exponents: u = 19, v = 8 n_start has 68 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(269,523) = 0.6465105319318670929 D2(269,523) = 0.01154115856074086013 C1(269,523) = 0.8819843160632098815 C2(269,523) = 1.688899645557414028 C3(269,523) = 4.565918885158782191 C4(269,523) = 4184 Sum = 4177.925911433441846 Averaged sum = 0.4174169159190170693 logp*logq = 35.02055164854876467 -------------- ************************************* p = 269; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1956364807369136.091 -------------- Searches starting with [269,541]-exponents: u = 1243, v = 8 n_start has 3043 digits --- performed 5000 steps in the continued fraction search [269,541]-exponents: u = 1144, v = 92 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,541) = 0.6990823837746630548 D2(269,541) = 0.5583877889006810695 C1(269,541) = 0.8680153568894076651 C2(269,541) = 1.504193761495392167 C3(269,541) = 4.457409310530113526 C4(269,541) = 4328 Sum = 5975.410549685999617 Averaged sum = 0.5976008150501049722 logp*logq = 35.20986445596801000 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,541) = 0.6990823837746630548 D2(269,541) = 0.5583877889006810695 C1(269,541) = 0.8680153568894076651 C2(269,541) = 1.504193761495392167 C3(269,541) = 4.457409310530113526 C4(269,541) = 4328 Sum = 5975.410549685999617 Averaged sum = 0.5976008150501049722 logp*logq = 35.20986445596801000 -------------- ************************************* p = 269; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2080888700078131.755 -------------- Searches starting with [269,547]-exponents: u = 9, v = 63 n_start has 195 digits starting right neighbors generation We generated 1480 left neighbors We generated 8530 right neighbors We generated 10009 non-negative rho_i D1(269,547) = 0.7777626726390829431 D2(269,547) = 0.02270524819517600745 C1(269,547) = 1.044674306306427606 C2(269,547) = 1.402620738829590487 C3(269,547) = 6.042047517751811079 C4(269,547) = 4376 Sum = 4354.619450438842636 Averaged sum = 0.4350703817003539450 logp*logq = 35.27157145702744485 -------------- ************************************* p = 269; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2302858785168749.110 -------------- Searches starting with [269,557]-exponents: u = 9, v = 23 n_start has 86 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(269,557) = 0.6816930659237674503 D2(269,557) = 0.08314514075158127867 C1(269,557) = 0.9195611683919539764 C2(269,557) = 1.694916895536471913 C3(269,557) = 4.871103120077340641 C4(269,557) = 4456 Sum = 4090.253523583810500 Averaged sum = 0.4086575605538825557 logp*logq = 35.37292769609620806 -------------- ************************************* p = 269; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2445122468021945.214 -------------- Searches starting with [269,563]-exponents: u = 9, v = 15 n_start has 64 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(269,563) = 0.6810624479268825155 D2(269,563) = 0.1300535592032840105 C1(269,563) = 0.9674780673492180229 C2(269,563) = 1.849205738373773701 C3(269,563) = 5.290034586104160734 C4(269,563) = 4504 Sum = 4343.451393942880955 Averaged sum = 0.4339545802720432565 logp*logq = 35.43287160575362974 -------------- ************************************* p = 269; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2594525532350270.618 -------------- Searches starting with [269,569]-exponents: u = 17, v = 7 n_start has 61 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(269,569) = 0.6608178868260561143 D2(269,569) = 0.1299950429134247635 C1(269,569) = 1.062415110709388276 C2(269,569) = 1.391596888800032933 C3(269,569) = 6.229458746659539127 C4(269,569) = 4552 Sum = 4114.525233056647776 Averaged sum = 0.4110825490115543787 logp*logq = 35.49218005564003886 -------------- ************************************* p = 269; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2645960790330363.135 -------------- Searches starting with [269,571]-exponents: u = 17, v = 7 n_start has 61 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(269,571) = 0.6430135620317876284 D2(269,571) = 0.1300742469290325754 C1(269,571) = 0.9145436897483183886 C2(269,571) = 1.867959944020236406 C3(269,571) = 4.829201924181011895 C4(269,571) = 4568 Sum = 3776.791209547031335 Averaged sum = 0.3773395153908513672 logp*logq = 35.51181064202440409 -------------- ************************************* p = 269; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2805315704417323.875 -------------- Searches starting with [269,577]-exponents: u = 25, v = 7 n_start has 81 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(269,577) = 1.082481067050004935 D2(269,577) = 0.08386423152148487980 C1(269,577) = 1.661515348597108502 C2(269,577) = 1.823729364133349518 C3(269,577) = 17.47608322828129475 C4(269,577) = 4616 Sum = 3290.042354885320190 Averaged sum = 0.3287083979303946637 logp*logq = 35.57029247814641332 -------------- ************************************* p = 269; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3088382557918663.703 -------------- Searches starting with [269,587]-exponents: u = 41, v = 7 n_start has 120 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(269,587) = 0.7493204199265185017 D2(269,587) = 0.01914497654120741718 C1(269,587) = 1.080839860234171021 C2(269,587) = 1.762263187782709340 C3(269,587) = 6.430251075776850103 C4(269,587) = 4696 Sum = 4467.167205278071080 Averaged sum = 0.4463150369945120471 logp*logq = 35.66642390473641526 -------------- ************************************* p = 269; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3269193669108719.223 -------------- Searches starting with [269,593]-exponents: u = 97, v = 7 n_start has 256 digits starting right neighbors generation We generated 4676 left neighbors We generated 5334 right neighbors We generated 10009 non-negative rho_i D1(269,593) = 0.7820127867413921364 D2(269,593) = 0.009960876928974833763 C1(269,593) = 1.071334113456693483 C2(269,593) = 1.653296960163167502 C3(269,593) = 6.325862465141247220 C4(269,593) = 4744 Sum = 4600.436343774999729 Averaged sum = 0.4596299674068338225 logp*logq = 35.72331976504250048 -------------- ************************************* p = 269; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3458608856402629.323 -------------- Searches starting with [269,599]-exponents: u = 8, v = 608 n_start has 1709 digits --- performed 5000 steps in the continued fraction search [269,599]-exponents: u = 401, v = 257 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,599) = 0.6323262934206863177 D2(269,599) = 0.4518022635596037561 C1(269,599) = 0.7987028313696700697 C2(269,599) = 1.477467376390152782 C3(269,599) = 3.955962406652345572 C4(269,599) = 4792 Sum = 5670.729157174495191 Averaged sum = 0.5671296286803175509 logp*logq = 35.77964283850714795 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,599) = 0.6323262934206863177 D2(269,599) = 0.4518022635596037561 C1(269,599) = 0.7987028313696700697 C2(269,599) = 1.477467376390152782 C3(269,599) = 3.955962406652345572 C4(269,599) = 4792 Sum = 5670.729157174495191 Averaged sum = 0.5671296286803175509 logp*logq = 35.77964283850714795 -------------- ************************************* p = 269; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3523713830124987.175 -------------- Searches starting with [269,601]-exponents: u = 8, v = 167 n_start has 484 digits --- performed 5000 steps in the continued fraction search [269,601]-exponents: u = 107, v = 52 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,601) = 0.5299635926492089004 D2(269,601) = 0.1492996651555920685 C1(269,601) = 0.7036991839517300428 C2(269,601) = 1.431770055746106108 C3(269,601) = 3.359004209791699167 C4(269,601) = 4808 Sum = 4888.550439538494595 Averaged sum = 0.4889039343472841879 logp*logq = 35.79829189370681058 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,601) = 0.5299635926492089004 D2(269,601) = 0.1492996651555920685 C1(269,601) = 0.7036991839517300428 C2(269,601) = 1.431770055746106108 C3(269,601) = 3.359004209791699167 C4(269,601) = 4808 Sum = 4888.550439538494595 Averaged sum = 0.4889039343472841879 logp*logq = 35.79829189370681058 -------------- ************************************* p = 269; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3725095760194682.055 -------------- Searches starting with [269,607]-exponents: u = 8, v = 48 n_start has 154 digits starting right neighbors generation We generated 1582 left neighbors We generated 8428 right neighbors We generated 10009 non-negative rho_i D1(269,607) = 1.038088484928031039 D2(269,607) = 0.03430189800944349378 C1(269,607) = 1.469501763766684140 C2(269,607) = 1.704853547628408009 C3(269,607) = 12.55626954143050561 C4(269,607) = 4856 Sum = 5444.703138319190703 Averaged sum = 0.5439807311738625940 logp*logq = 35.85386895384659163 -------------- ************************************* p = 269; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3935834578981644.727 -------------- Searches starting with [269,613]-exponents: u = 8, v = 27 n_start has 95 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(269,613) = 0.6442056098101084730 D2(269,613) = 0.01547227479217089714 C1(269,613) = 0.9469730642209165407 C2(269,613) = 1.610881229129926549 C3(269,613) = 5.106523415172588533 C4(269,613) = 4904 Sum = 3932.511417404352977 Averaged sum = 0.3928975339598714134 logp*logq = 35.90889934551975095 -------------- ************************************* p = 269; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4081691335714653.045 -------------- Searches starting with [269,617]-exponents: u = 8, v = 20 n_start has 76 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(269,617) = 0.8021827773710458104 D2(269,617) = 0.03259109071447243940 C1(269,617) = 1.068735171009782097 C2(269,617) = 1.706166235493353189 C3(269,617) = 6.297618007143143126 C4(269,617) = 4936 Sum = 3967.920550140163136 Averaged sum = 0.3964352632770669533 logp*logq = 35.94528784049483366 -------------- ************************************* p = 269; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4156267032490293.156 -------------- Searches starting with [269,619]-exponents: u = 8, v = 20 n_start has 76 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(269,619) = 0.8803612196195798804 D2(269,619) = 0.04101736633380701846 C1(269,619) = 1.260364017956374532 C2(269,619) = 1.715149927861703968 C3(269,619) = 8.759354240203241051 C4(269,619) = 4952 Sum = 4317.100586651747830 Averaged sum = 0.4313218689830900020 logp*logq = 35.96339371836709283 -------------- ************************************* p = 269; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4627603271018799.398 -------------- Searches starting with [269,631]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(269,631) = 0.7599132026821217406 D2(269,631) = 0.1022735381685357487 C1(269,631) = 1.032743108797369503 C2(269,631) = 1.894301878437304343 C3(269,631) = 5.919189626274438166 C4(269,631) = 5048 Sum = 4331.343936761876218 Averaged sum = 0.4327449232452668815 logp*logq = 36.07081547693297591 -------------- ************************************* p = 269; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5053131016466169.998 -------------- Searches starting with [269,641]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(269,641) = 0.7754215087959220368 D2(269,641) = 0.1009696898401880681 C1(269,641) = 1.092956640138570065 C2(269,641) = 1.916086891006347936 C3(269,641) = 6.565814192725815253 C4(269,641) = 5128 Sum = 4630.137451969848648 Averaged sum = 0.4625974075302076779 logp*logq = 36.15878444933596684 -------------- ************************************* p = 269; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5141974120843045.555 -------------- Searches starting with [269,643]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(269,643) = 0.6249581933076411725 D2(269,643) = 0.08908686182103975134 C1(269,643) = 0.8423998629481681576 C2(269,643) = 1.904811688509663206 C3(269,643) = 4.265086279710558751 C4(269,643) = 5144 Sum = 4260.006883967119543 Averaged sum = 0.4256176325274372607 logp*logq = 36.17621347084460505 -------------- ************************************* p = 269; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5323511125513228.243 -------------- Searches starting with [269,647]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(269,647) = 1.100536228282310362 D2(269,647) = 0.06655641187769981490 C1(269,647) = 1.565259666413871063 C2(269,647) = 1.883490754749054258 C3(269,647) = 14.80697192532067735 C4(269,647) = 5176 Sum = 4732.438803492354210 Averaged sum = 0.4728183438397796193 logp*logq = 36.21090946656798463 -------------- ************************************* p = 269; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5605660708668411.141 -------------- Searches starting with [269,653]-exponents: u = 22, v = 6 n_start has 71 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(269,653) = 0.7636822980673280579 D2(269,653) = 0.03537632322679456074 C1(269,653) = 1.052431711281561056 C2(269,653) = 1.854110780919798171 C3(269,653) = 6.123291729077786413 C4(269,653) = 5224 Sum = 4170.010536613227308 Averaged sum = 0.4166260901801605862 logp*logq = 36.26255332292986948 -------------- ************************************* p = 269; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5899976839644359.896 -------------- Searches starting with [269,659]-exponents: u = 29, v = 6 n_start has 88 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(269,659) = 0.7527617143093370685 D2(269,659) = 0.006755063281158740189 C1(269,659) = 1.137676364367790192 C2(269,659) = 1.827272922897437183 C3(269,659) = 7.091351296958514815 C4(269,659) = 5272 Sum = 3089.045087106895932 Averaged sum = 0.3086267446405131313 logp*logq = 36.31372482033064750 -------------- ************************************* p = 269; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6000855901117187.988 -------------- Searches starting with [269,661]-exponents: u = 29, v = 6 n_start has 88 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(269,661) = 0.8664716005799708109 D2(269,661) = 0.08732189961692846369 C1(269,661) = 1.223869100267400831 C2(269,661) = 1.798417874914433015 C3(269,661) = 8.225873092937553422 C4(269,661) = 5288 Sum = 4489.101275914512460 Averaged sum = 0.4485064717668610710 logp*logq = 36.33067850415136795 -------------- ************************************* p = 269; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6636331341054951.734 -------------- Searches starting with [269,673]-exponents: u = 64, v = 6 n_start has 173 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(269,673) = 0.8052407844396309540 D2(269,673) = 0.02104065904431427577 C1(269,673) = 1.130502762000986882 C2(269,673) = 1.659685475850728525 C3(269,673) = 7.004300024851130033 C4(269,673) = 5384 Sum = 4823.059096432982402 Averaged sum = 0.4818722246411212311 logp*logq = 36.43133569683248767 -------------- ************************************* p = 269; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6860039804701793.470 -------------- Searches starting with [269,677]-exponents: u = 113, v = 6 n_start has 292 digits --- performed 5000 steps in the continued fraction search [269,677]-exponents: u = 27, v = 12 --- starting right neighbors generation We generated 5535 left neighbors We generated 4475 right neighbors We generated 10009 non-negative rho_i D1(269,677) = 0.6884475672068352877 D2(269,677) = 0.02023313696060073586 C1(269,677) = 0.9391957697794959959 C2(269,677) = 1.558352319037791946 C3(269,677) = 5.038597193043053499 C4(269,677) = 5416 Sum = 4397.408831740066445 Averaged sum = 0.4393454722489825602 logp*logq = 36.46448963906630883 -------------- ************************************* p = 269; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7207186583721958.642 -------------- Searches starting with [269,683]-exponents: u = 1625, v = 6 n_start has 3966 digits --- performed 5000 steps in the continued fraction search [269,683]-exponents: u = 820, v = 693 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,683) = 0.7250408429790879893 D2(269,683) = 0.5732011080922309936 C1(269,683) = 0.8938960670819885340 C2(269,683) = 1.517035833975912988 C3(269,683) = 4.660532420917402489 C4(269,683) = 5464 Sum = 6053.176413883731676 Averaged sum = 0.6053781792062937970 logp*logq = 36.51385505975360606 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,683) = 0.7250408429790879893 D2(269,683) = 0.5732011080922309936 C1(269,683) = 0.8938960670819885340 C2(269,683) = 1.517035833975912988 C3(269,683) = 4.660532420917402489 C4(269,683) = 5464 Sum = 6053.176413883731676 Averaged sum = 0.6053781792062937970 logp*logq = 36.51385505975360606 -------------- ************************************* p = 269; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7692369615816209.893 -------------- Searches starting with [269,691]-exponents: u = 7, v = 83 n_start has 253 digits starting right neighbors generation We generated 4262 left neighbors We generated 5748 right neighbors We generated 10009 non-negative rho_i D1(269,691) = 0.6088656597997621579 D2(269,691) = 0.004924890778932882061 C1(269,691) = 0.8380314322746256468 C2(269,691) = 1.607236133457995099 C3(269,691) = 4.233126102697001258 C4(269,691) = 5528 Sum = 4198.812518701599852 Averaged sum = 0.4195036985414726598 logp*logq = 36.57900527346094565 -------------- ************************************* p = 269; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8336254757067072.792 -------------- Searches starting with [269,701]-exponents: u = 7, v = 35 n_start has 117 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(269,701) = 0.6273332289847703453 D2(269,701) = 0.01634727443098595059 C1(269,701) = 0.8492435230579077046 C2(269,701) = 1.767175680014586995 C3(269,701) = 4.315641467134956201 C4(269,701) = 5608 Sum = 4026.678055976624733 Averaged sum = 0.4023057304402662337 logp*logq = 36.65939044052322324 -------------- ************************************* p = 269; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8882657794821395.353 -------------- Searches starting with [269,709]-exponents: u = 7, v = 23 n_start has 83 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(269,709) = 0.9002479127439386647 D2(269,709) = 0.07320874364037470270 C1(269,709) = 1.210016886512454896 C2(269,709) = 1.825872776496064512 C3(269,709) = 8.031998684254349059 C4(269,709) = 5672 Sum = 4061.289588250361296 Averaged sum = 0.4057637714307484560 logp*logq = 36.72287720835171508 -------------- ************************************* p = 269; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9606686789495659.991 -------------- Searches starting with [269,719]-exponents: u = 7, v = 17 n_start has 66 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(269,719) = 0.6161530815609686567 D2(269,719) = 0.005795143999925033542 C1(269,719) = 0.8537096438694486084 C2(269,719) = 1.761505053537765031 C3(269,719) = 4.348956091272333945 C4(269,719) = 5752 Sum = 3942.676898085623369 Averaged sum = 0.3939131679574006763 logp*logq = 36.80123579148514362 -------------- ************************************* p = 269; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10220193809118320.81 -------------- Searches starting with [269,727]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(269,727) = 0.7040901317037650640 D2(269,727) = 0.03135352495438360991 C1(269,727) = 1.009442050744138949 C2(269,727) = 1.915891662327671664 C3(269,727) = 5.686410943050286790 C4(269,727) = 5816 Sum = 3834.537509450537424 Averaged sum = 0.3831089528874550329 logp*logq = 36.86314194321664227 -------------- ************************************* p = 269; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10701134205090191.65 -------------- Searches starting with [269,733]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(269,733) = 0.5934598036264222561 D2(269,733) = 0.05107816966493626994 C1(269,733) = 0.8273181846197567716 C2(269,733) = 1.937064495871115018 C3(269,733) = 4.155756363151889666 C4(269,733) = 5864 Sum = 4214.669856390271473 Averaged sum = 0.4210880064332372338 logp*logq = 36.90912613123661115 -------------- ************************************* p = 269; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11200507044185497.12 -------------- Searches starting with [269,739]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(269,739) = 0.6497951945705524495 D2(269,739) = 0.07167595515714576074 C1(269,739) = 0.8645637490799708985 C2(269,739) = 1.959098426808787322 C3(269,739) = 4.430997250780462092 C4(269,739) = 5912 Sum = 3841.835054739167699 Averaged sum = 0.3838380512278117394 logp*logq = 36.95473544398927354 -------------- ************************************* p = 269; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11543932722792156.65 -------------- Searches starting with [269,743]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(269,743) = 1.001149455866413175 D2(269,743) = 0.05435567591999261022 C1(269,743) = 1.673258836258686008 C2(269,743) = 1.153595117377727282 C3(269,743) = 17.83304980007892573 C4(269,743) = 5944 Sum = 3172.637541664369278 Averaged sum = 0.3169784735402507022 logp*logq = 36.98493638847131545 -------------- ************************************* p = 269; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12256754269408602.90 -------------- Searches starting with [269,751]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(269,751) = 0.6324473352625287629 D2(269,751) = 0.06038676074981741742 C1(269,751) = 0.8565221534141313867 C2(269,751) = 1.977182358882753008 C3(269,751) = 4.370067596975879645 C4(269,751) = 6008 Sum = 4045.717268528751812 Averaged sum = 0.4042079397071387563 logp*logq = 37.04485354888473694 -------------- ************************************* p = 269; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12814760089991407.52 -------------- Searches starting with [269,757]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(269,757) = 0.9062545435271157425 D2(269,757) = 0.03675339529416155466 C1(269,757) = 1.209053009326148834 C2(269,757) = 1.955158389342631690 C3(269,757) = 8.018679636146721657 C4(269,757) = 6056 Sum = 3983.576866883465213 Averaged sum = 0.3979994871499116009 logp*logq = 37.08937403352076559 -------------- ************************************* p = 269; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13198225012545628.43 -------------- Searches starting with [269,761]-exponents: u = 13, v = 5 n_start has 46 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(269,761) = 0.5732187866050332147 D2(269,761) = 0.02183075772828879480 C1(269,761) = 0.7747322328332076917 C2(269,761) = 1.941301505397137529 C3(269,761) = 3.796011130109544715 C4(269,761) = 6088 Sum = 4062.778533661747954 Averaged sum = 0.4059125320872962288 logp*logq = 37.11885874671473467 -------------- ************************************* p = 269; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13993454305489388.15 -------------- Searches starting with [269,769]-exponents: u = 19, v = 5 n_start has 61 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(269,769) = 0.8161751469146948786 D2(269,769) = 0.1200152749336771314 C1(269,769) = 1.293450489961759268 C2(269,769) = 1.290888550385945322 C3(269,769) = 9.272853866431876094 C4(269,769) = 6152 Sum = 3545.033163645711517 Averaged sum = 0.3541845502693287558 logp*logq = 37.17736606558264396 -------------- ************************************* p = 269; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14405577755983004.57 -------------- Searches starting with [269,773]-exponents: u = 19, v = 5 n_start has 61 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(269,773) = 1.057130271346708924 D2(269,773) = 0.1330541000479255884 C1(269,773) = 1.496457627624826902 C2(269,773) = 1.934261785504233340 C3(269,773) = 13.15278204634375420 C4(269,773) = 6184 Sum = 4484.887052546761088 Averaged sum = 0.4480854283691438793 logp*logq = 37.20639187065974152 -------------- ************************************* p = 269; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15927323098764799.16 -------------- Searches starting with [269,787]-exponents: u = 25, v = 5 n_start has 76 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(269,787) = 0.5908671245055456407 D2(269,787) = 0.03170235765342550911 C1(269,787) = 0.8041226307737810175 C2(269,787) = 1.836403566953375923 C3(269,787) = 3.993051954409360835 C4(269,787) = 6296 Sum = 4219.058865626252636 Averaged sum = 0.4215265127011941888 logp*logq = 37.30681246320328511 -------------- ************************************* p = 269; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17093141513686450.82 -------------- Searches starting with [269,797]-exponents: u = 37, v = 5 n_start has 105 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(269,797) = 0.5862356737104080152 D2(269,797) = 0.04110362909481059262 C1(269,797) = 0.7959948611915493162 C2(269,797) = 1.765102184889248190 C3(269,797) = 3.937560105334956198 C4(269,797) = 6376 Sum = 4271.368361112656076 Averaged sum = 0.4267527586284999576 logp*logq = 37.37745369689380564 -------------- ************************************* p = 269; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18583721361287068.63 -------------- Searches starting with [269,809]-exponents: u = 73, v = 5 n_start has 192 digits starting right neighbors generation We generated 2139 left neighbors We generated 7871 right neighbors We generated 10009 non-negative rho_i D1(269,809) = 0.5818423616600413190 D2(269,809) = 0.01443635218599618357 C1(269,809) = 0.8153438898854693272 C2(269,809) = 1.630445919020818157 C3(269,809) = 4.070951872535889510 C4(269,809) = 6472 Sum = 3976.076742497742326 Averaged sum = 0.3972501491155702193 logp*logq = 37.46106239679281430 -------------- ************************************* p = 269; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18842220272667432.81 -------------- Searches starting with [269,811]-exponents: u = 85, v = 5 n_start has 222 digits starting right neighbors generation We generated 2806 left neighbors We generated 7204 right neighbors We generated 10009 non-negative rho_i D1(269,811) = 0.5864029221697672551 D2(269,811) = 0.01887321800481257124 C1(269,811) = 0.8136729126114057917 C2(269,811) = 1.595479787332294823 C3(269,811) = 4.059256068251111304 C4(269,811) = 6488 Sum = 3981.166804260887459 Averaged sum = 0.3977586975982503206 logp*logq = 37.47487650598296811 -------------- ************************************* p = 269; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20179426768976843.81 -------------- Searches starting with [269,821]-exponents: u = 427, v = 5 n_start has 1053 digits --- performed 5000 steps in the continued fraction search [269,821]-exponents: u = 318, v = 84 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,821) = 0.6953183834007809374 D2(269,821) = 0.3170064521267714313 C1(269,821) = 0.8929834011046714087 C2(269,821) = 1.454109663650644820 C3(269,821) = 4.653214387398354030 C4(269,821) = 6568 Sum = 5335.135704507190194 Averaged sum = 0.5335669271434333627 logp*logq = 37.54344000353461786 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,821) = 0.6953183834007809374 D2(269,821) = 0.3170064521267714313 C1(269,821) = 0.8929834011046714087 C2(269,821) = 1.454109663650644820 C3(269,821) = 4.653214387398354030 C4(269,821) = 6568 Sum = 5335.135704507190194 Averaged sum = 0.5335669271434333627 logp*logq = 37.54344000353461786 -------------- ************************************* p = 269; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20455996191035034.75 -------------- Searches starting with [269,823]-exponents: u = 1921, v = 5 n_start has 4683 digits --- performed 5000 steps in the continued fraction search [269,823]-exponents: u = 790, v = 945 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,823) = 0.6535247975557314519 D2(269,823) = 0.5542895503753767536 C1(269,823) = 0.8023559803744276835 C2(269,823) = 1.501297309603426202 C3(269,823) = 3.980924115933837699 C4(269,823) = 6584 Sum = 6092.879367331221506 Averaged sum = 0.6093488716202841790 logp*logq = 37.55705244669672954 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,823) = 0.6535247975557314519 D2(269,823) = 0.5542895503753767536 C1(269,823) = 0.8023559803744276835 C2(269,823) = 1.501297309603426202 C3(269,823) = 3.980924115933837699 C4(269,823) = 6584 Sum = 6092.879367331221506 Averaged sum = 0.6093488716202841790 logp*logq = 37.55705244669672954 -------------- ************************************* p = 269; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21018478476803258.30 -------------- Searches starting with [269,827]-exponents: u = 6, v = 269 n_start has 800 digits --- performed 5000 steps in the continued fraction search [269,827]-exponents: u = 131, v = 149 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,827) = 0.8091508339200859270 D2(269,827) = 0.2486414807072104300 C1(269,827) = 1.050289230554834747 C2(269,827) = 1.438362569961210635 C3(269,827) = 6.100744703266629986 C4(269,827) = 6616 Sum = 5160.693309091100982 Averaged sum = 0.5161209430034104392 logp*logq = 37.58417837319170805 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,827) = 0.8091508339200859270 D2(269,827) = 0.2486414807072104300 C1(269,827) = 1.050289230554834747 C2(269,827) = 1.438362569961210635 C3(269,827) = 6.100744703266629986 C4(269,827) = 6616 Sum = 5160.693309091100982 Averaged sum = 0.5161209430034104392 logp*logq = 37.58417837319170805 -------------- ************************************* p = 269; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21304445938775618.79 -------------- Searches starting with [269,829]-exponents: u = 6, v = 169 n_start has 508 digits --- performed 5000 steps in the continued fraction search [269,829]-exponents: u = 165, v = 10 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,829) = 0.6657449651219456949 D2(269,829) = 0.1049647320039352346 C1(269,829) = 0.8814896430335607021 C2(269,829) = 1.424514772086858606 C3(269,829) = 4.562031570682631615 C4(269,829) = 6632 Sum = 4856.154721310680090 Averaged sum = 0.4856640385349215011 logp*logq = 37.59769217536507137 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(269,829) = 0.6657449651219456949 D2(269,829) = 0.1049647320039352346 C1(269,829) = 0.8814896430335607021 C2(269,829) = 1.424514772086858606 C3(269,829) = 4.562031570682631615 C4(269,829) = 6632 Sum = 4856.154721310680090 Averaged sum = 0.4856640385349215011 logp*logq = 37.59769217536507137 -------------- ************************************* p = 269; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22782653943025049.49 -------------- Searches starting with [269,839]-exponents: u = 6, v = 59 n_start has 188 digits starting right neighbors generation We generated 2058 left neighbors We generated 7952 right neighbors We generated 10009 non-negative rho_i D1(269,839) = 0.6206872562485041440 D2(269,839) = 0.007352716202996837800 C1(269,839) = 0.8714046566755222689 C2(269,839) = 1.645974686728765544 C3(269,839) = 4.483497775637665879 C4(269,839) = 6712 Sum = 3721.987914006183266 Averaged sum = 0.3718641136982898657 logp*logq = 37.66477584934941497 -------------- ************************************* p = 269; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24992741523147960.95 -------------- Searches starting with [269,853]-exponents: u = 6, v = 29 n_start has 100 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(269,853) = 0.5994803437698538077 D2(269,853) = 0.02716111230090287005 C1(269,853) = 0.8378263491526061012 C2(269,853) = 1.790343415028790241 C3(269,853) = 4.231631579566313817 C4(269,853) = 6824 Sum = 4194.141786176147046 Averaged sum = 0.4190370452768655256 logp*logq = 37.75736183854825549 -------------- ************************************* p = 269; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25655541205859389.98 -------------- Searches starting with [269,857]-exponents: u = 6, v = 24 n_start has 85 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(269,857) = 0.6330377800904370966 D2(269,857) = 0.05635803367807151163 C1(269,857) = 0.9396120458604835251 C2(269,857) = 1.820276259142066600 C3(269,857) = 5.042209918328405797 C4(269,857) = 6856 Sum = 3983.964779403490117 Averaged sum = 0.3980382435211799498 logp*logq = 37.78353597461355736 -------------- ************************************* p = 269; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25992313790529284.51 -------------- Searches starting with [269,859]-exponents: u = 6, v = 24 n_start has 85 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(269,859) = 0.8759609340779260581 D2(269,859) = 0.07185456755592369763 C1(269,859) = 1.238619468168727853 C2(269,859) = 1.836139447221807531 C3(269,859) = 8.437465324335833428 C4(269,859) = 6872 Sum = 4629.991143143298993 Averaged sum = 0.4625827898035067432 logp*logq = 37.79657726578576272 -------------- ************************************* p = 269; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26676755564415578.51 -------------- Searches starting with [269,863]-exponents: u = 6, v = 19 n_start has 71 digits starting right neighbors generation We generated 176 left neighbors We generated 9834 right neighbors We generated 10009 non-negative rho_i D1(269,863) = 1.121088790553445222 D2(269,863) = 0.1050523020868494839 C1(269,863) = 1.694342572324558480 C2(269,863) = 1.870067896233882754 C3(269,863) = 18.49232722541397859 C4(269,863) = 6904 Sum = 4878.197001993983942 Averaged sum = 0.4873810572478753064 logp*logq = 37.82256900303190610 -------------- ************************************* p = 269; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29189947586464869.36 -------------- Searches starting with [269,877]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(269,877) = 0.6998366801921735521 D2(269,877) = 0.06364303676579372002 C1(269,877) = 0.9703592399571733642 C2(269,877) = 1.926414995687913185 C3(269,877) = 5.316342939257656801 C4(269,877) = 7016 Sum = 4078.870608999399739 Averaged sum = 0.4075202926365670635 logp*logq = 37.91260078417608557 -------------- ************************************* p = 269; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29942649557494825.25 -------------- Searches starting with [269,881]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(269,881) = 0.7936812381831592959 D2(269,881) = 0.08449912925356669386 C1(269,881) = 1.164146057370211215 C2(269,881) = 1.948028540304085030 C3(269,881) = 7.422025568538396312 C4(269,881) = 7048 Sum = 3973.446469651419257 Averaged sum = 0.3969873583426335555 logp*logq = 37.93806026556097469 -------------- ************************************* p = 269; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30324934547139641.46 -------------- Searches starting with [269,883]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(269,883) = 0.6119759615156823715 D2(269,883) = 0.09536866876506574362 C1(269,883) = 0.8423123559229032320 C2(269,883) = 1.959275494585473590 C3(269,883) = 4.264443701174292853 C4(269,883) = 7064 Sum = 4117.561480940330050 Averaged sum = 0.4113859007833280098 logp*logq = 37.95074669135890314 -------------- ************************************* p = 269; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31101534866562099.15 -------------- Searches starting with [269,887]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(269,887) = 0.5749328689024750384 D2(269,887) = 0.1181214753356002635 C1(269,887) = 0.7688111479423429843 C2(269,887) = 1.982780528050111723 C3(269,887) = 3.757507204571907300 C4(269,887) = 7096 Sum = 4223.024135591374822 Averaged sum = 0.4219226831443076053 logp*logq = 37.97603356550064864 -------------- ************************************* p = 269; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35233772457909239.24 -------------- Searches starting with [269,907]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(269,907) = 0.7861220131669937090 D2(269,907) = 0.09617897582422843747 C1(269,907) = 1.192342677349404492 C2(269,907) = 1.884903554227427618 C3(269,907) = 7.791251964609138380 C4(269,907) = 7256 Sum = 3472.814620099796131 Averaged sum = 0.3469691897392143202 logp*logq = 38.10078146236870466 -------------- ************************************* p = 269; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36111966744449595.59 -------------- Searches starting with [269,911]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(269,911) = 0.5234114067834636977 D2(269,911) = 0.07914121835722163222 C1(269,911) = 0.7213133633968852359 C2(269,911) = 1.749120932243113371 C3(269,911) = 3.462438263374073161 C4(269,911) = 7288 Sum = 4184.327701343672485 Averaged sum = 0.4180565192670269242 logp*logq = 38.12540069408517515 -------------- ************************************* p = 269; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37922329979717589.42 -------------- Searches starting with [269,919]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(269,919) = 0.7002727397785926468 D2(269,919) = 0.005808015503666083521 C1(269,919) = 1.008487910324335536 C2(269,919) = 2.022955493089685049 C3(269,919) = 5.677076637068581837 C4(269,919) = 7352 Sum = 3388.764103392199322 Averaged sum = 0.3385716958129882428 logp*logq = 38.17431651502266905 -------------- ************************************* p = 269; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40289445466930388.52 -------------- Searches starting with [269,929]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(269,929) = 0.8106836226473163761 D2(269,929) = 0.02613539439176909572 C1(269,929) = 1.392936940199404604 C2(269,929) = 2.045255505530852400 C3(269,929) = 11.00543373788504470 C4(269,929) = 7432 Sum = 4098.433127784325500 Averaged sum = 0.4094747854715081926 logp*logq = 38.23486593047815521 -------------- ************************************* p = 269; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42269324389667338.90 -------------- Searches starting with [269,937]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(269,937) = 0.7624687625923677011 D2(269,937) = 0.02269297835019544471 C1(269,937) = 1.309963608529142850 C2(269,937) = 2.079920257166866667 C3(269,937) = 9.540289581433695373 C4(269,937) = 7496 Sum = 4080.139965751464434 Averaged sum = 0.4076471141723912912 logp*logq = 38.28283802615056360 -------------- ************************************* p = 269; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43288815695327801.49 -------------- Searches starting with [269,941]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(269,941) = 0.6275385838360419776 D2(269,941) = 0.01248105554127045024 C1(269,941) = 0.8727370695231247314 C2(269,941) = 2.070611259835577644 C3(269,941) = 4.493795522944610555 C4(269,941) = 7528 Sum = 3733.830820353039917 Averaged sum = 0.3730473394298171563 logp*logq = 38.30667069852506693 -------------- ************************************* p = 269; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44855850662561022.18 -------------- Searches starting with [269,947]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(269,947) = 0.8404471911076010747 D2(269,947) = 0.04948560754880464421 C1(269,947) = 1.212281502626257606 C2(269,947) = 1.595383478038814120 C3(269,947) = 8.063378717723795360 C4(269,947) = 7576 Sum = 3556.756241927644436 Averaged sum = 0.3553558039691921706 logp*logq = 38.34223042446311672 -------------- ************************************* p = 269; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46469173917260903.14 -------------- Searches starting with [269,953]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(269,953) = 0.9840054942476636107 D2(269,953) = 0.06527663809948936953 C1(269,953) = 1.326370471450768114 C2(269,953) = 1.752428244324907528 C3(269,953) = 9.813642730677546057 C4(269,953) = 7624 Sum = 4224.747563254330043 Averaged sum = 0.4220948709415855773 logp*logq = 38.37756556116053774 -------------- ************************************* p = 269; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50419608312941064.22 -------------- Searches starting with [269,967]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(269,967) = 0.6753010584249518022 D2(269,967) = 0.09997150621902793901 C1(269,967) = 0.9844438899194194516 C2(269,967) = 1.915971356373977099 C3(269,967) = 5.446846984242857435 C4(269,967) = 7736 Sum = 3447.369390905016384 Averaged sum = 0.3444269548311536001 logp*logq = 38.45915654815438701 -------------- ************************************* p = 269; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51597590200450997.38 -------------- Searches starting with [269,971]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(269,971) = 0.6058251691337613798 D2(269,971) = 0.1089173147787220103 C1(269,971) = 0.8474326910725773011 C2(269,971) = 1.925622588972121720 C3(269,971) = 4.302206554977729469 C4(269,971) = 7768 Sum = 4235.218878956855220 Averaged sum = 0.4231410609408387671 logp*logq = 38.48225136476600402 -------------- ************************************* p = 269; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53406871634966656.26 -------------- Searches starting with [269,977]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(269,977) = 0.9039915719283663561 D2(269,977) = 0.08468108317777433051 C1(269,977) = 1.465423321126222172 C2(269,977) = 1.244669807429530524 C3(269,977) = 12.46840387898558660 C4(269,977) = 7816 Sum = 3355.503578591147567 Averaged sum = 0.3352486340884351650 logp*logq = 38.51671581490072349 -------------- ************************************* p = 269; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55267932726198757.20 -------------- Searches starting with [269,983]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(269,983) = 0.6097738300880242722 D2(269,983) = 0.1046109196170587781 C1(269,983) = 0.9884530903275698363 C2(269,983) = 1.492158053143540294 C3(269,983) = 5.484577347744830389 C4(269,983) = 7864 Sum = 4195.259363494751584 Averaged sum = 0.4191487025172096697 logp*logq = 38.55096925687556890 -------------- ************************************* p = 269; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57831887761608436.53 -------------- Searches starting with [269,991]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(269,991) = 0.8232318042462013022 D2(269,991) = 0.06844856618765164144 C1(269,991) = 1.101172324965373307 C2(269,991) = 1.999108480341330587 C3(269,991) = 6.659353882119090362 C4(269,991) = 7928 Sum = 4038.243286247175662 Averaged sum = 0.4034612135325382817 logp*logq = 38.59631670984058614 -------------- ************************************* p = 269; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59818280672739493.98 -------------- Searches starting with [269,997]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(269,997) = 0.6036795947022582096 D2(269,997) = 0.04167452307845575705 C1(269,997) = 0.8596685733725872897 C2(269,997) = 1.973560564235081969 C3(269,997) = 4.393807009985484474 C4(269,997) = 7976 Sum = 3713.991297737328145 Averaged sum = 0.3710651711197250619 logp*logq = 38.63008770602005734 -------------- ************************************* p = 271; q = 277; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48201647667265.52471 -------------- Searches starting with [271,277]-exponents: u = 1, v = 255 n_start has 626 digits --- performed 5000 steps in the continued fraction search [271,277]-exponents: u = 90, v = 146 --- starting right neighbors generation We generated 7727 left neighbors We generated 2283 right neighbors We generated 10009 non-negative rho_i D1(271,277) = 0.7608996283851372877 D2(271,277) = 0.005152311549574639174 C1(271,277) = 0.9971804585904803589 C2(271,277) = 1.083592865036929741 C3(271,277) = 5.574967059330229420 C4(271,277) = 2216 Sum = 5278.080364109976481 Averaged sum = 0.5273334363183111681 logp*logq = 31.50641432036900872 -------------- ************************************* p = 271; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52232854629934.10740 -------------- Searches starting with [271,281]-exponents: u = 1, v = 154 n_start has 380 digits starting right neighbors generation We generated 2929 left neighbors We generated 7081 right neighbors We generated 10009 non-negative rho_i D1(271,281) = 0.6246397573894788762 D2(271,281) = 0.005808210769426976287 C1(271,281) = 0.8377834198325115429 C2(271,281) = 1.167733685375762415 C3(271,281) = 4.236011812535460121 C4(271,281) = 2248 Sum = 5003.032100586353907 Averaged sum = 0.4998533420507896799 logp*logq = 31.58673281186951969 -------------- ************************************* p = 271; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54349923261568.08427 -------------- Searches starting with [271,283]-exponents: u = 1, v = 129 n_start has 319 digits starting right neighbors generation We generated 2090 left neighbors We generated 7920 right neighbors We generated 10009 non-negative rho_i D1(271,283) = 0.6603503199548232811 D2(271,283) = 0.009558192847418369667 C1(271,283) = 0.8941202905238929739 C2(271,283) = 1.204058166631036740 C3(271,283) = 4.667851058639671272 C4(271,283) = 2264 Sum = 4634.316791444664542 Averaged sum = 0.4630149656753586314 logp*logq = 31.62646431756409986 -------------- ************************************* p = 271; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66021520885021.13494 -------------- Searches starting with [271,293]-exponents: u = 1, v = 71 n_start has 178 digits starting right neighbors generation We generated 684 left neighbors We generated 9326 right neighbors We generated 10009 non-negative rho_i D1(271,293) = 0.6688598625286917735 D2(271,293) = 0.002875023480703208818 C1(271,293) = 0.9374890077472662404 C2(271,293) = 1.322511182363499030 C3(271,293) = 5.030047313687976245 C4(271,293) = 2344 Sum = 4823.606486719803903 Averaged sum = 0.4819269144489763116 logp*logq = 31.82100187881986741 -------------- ************************************* p = 271; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85752087960415.79536 -------------- Searches starting with [271,307]-exponents: u = 1, v = 44 n_start has 112 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(271,307) = 0.8166320355381444253 D2(271,307) = 0.03079943391371652129 C1(271,307) = 1.184171110346994289 C2(271,307) = 1.467351710742798388 C3(271,307) = 7.694443109134885930 C4(271,307) = 2456 Sum = 4954.648170602263529 Averaged sum = 0.4950192996905048984 logp*logq = 32.08248155107075989 -------------- ************************************* p = 271; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92201904390392.47895 -------------- Searches starting with [271,311]-exponents: u = 1, v = 40 n_start has 103 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(271,311) = 0.7003712489759816372 D2(271,311) = 0.01818434691209837996 C1(271,311) = 0.9503228498170136782 C2(271,311) = 1.484948448080473641 C3(271,311) = 5.142523743830707372 C4(271,311) = 2488 Sum = 4422.018799544566504 Averaged sum = 0.4418042561239450998 logp*logq = 32.15500190127119575 -------------- ************************************* p = 271; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95573150337046.54613 -------------- Searches starting with [271,313]-exponents: u = 1, v = 38 n_start has 98 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(271,313) = 0.7494239351306903934 D2(271,313) = 0.05443783876780414249 C1(271,313) = 1.099493932840893078 C2(271,313) = 1.529892381139080315 C3(271,313) = 6.649803788339034687 C4(271,313) = 2504 Sum = 4577.612454923814472 Averaged sum = 0.4573496308246392719 logp*logq = 32.19091304232397842 -------------- ************************************* p = 271; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102619800259912.3809 -------------- Searches starting with [271,317]-exponents: u = 1, v = 35 n_start has 90 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(271,317) = 0.6644431770093696966 D2(271,317) = 0.04395284806205081723 C1(271,317) = 0.8938685511209470574 C2(271,317) = 1.546563663384591786 C3(271,317) = 4.665826661139915171 C4(271,317) = 2536 Sum = 4417.791275955678209 Averaged sum = 0.4413818839000577689 logp*logq = 32.26205201503540917 -------------- ************************************* p = 271; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130730171017108.0498 -------------- Searches starting with [271,331]-exponents: u = 1, v = 28 n_start has 73 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(271,331) = 1.208142060605931798 D2(271,331) = 0.03840705154308579602 C1(271,331) = 1.826386500755448273 C2(271,331) = 1.621972107217128492 C3(271,331) = 23.26915259750483402 C4(271,331) = 2648 Sum = 2464.851314560036636 Averaged sum = 0.2462634943111236523 logp*logq = 32.50415655167179743 -------------- ************************************* p = 271; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 144571617452244.1421 -------------- Searches starting with [271,337]-exponents: u = 1, v = 25 n_start has 66 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(271,337) = 0.6151350915014103994 D2(271,337) = 0.04503764796443247944 C1(271,337) = 0.8570275889998660880 C2(271,337) = 1.658236143720041581 C3(271,337) = 4.378835003388731879 C4(271,337) = 2696 Sum = 4275.134447338335678 Averaged sum = 0.4271290286080862902 logp*logq = 32.60479612320764704 -------------- ************************************* p = 271; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 170305064044756.1928 -------------- Searches starting with [271,347]-exponents: u = 1, v = 22 n_start has 59 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(271,347) = 0.9374722530015935969 D2(271,347) = 0.01503038536229939188 C1(271,347) = 1.316435854798991397 C2(271,347) = 1.680017556728483317 C3(271,347) = 9.664020015483120965 C4(271,347) = 2776 Sum = 5029.902985770171760 Averaged sum = 0.5025380143640894954 logp*logq = 32.76861243917831476 -------------- ************************************* p = 271; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175877459033096.2197 -------------- Searches starting with [271,349]-exponents: u = 1, v = 22 n_start has 59 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(271,349) = 0.7259073225376624184 D2(271,349) = 0.06860220542669864622 C1(271,349) = 0.9717690876283060413 C2(271,349) = 1.734452700131100683 C3(271,349) = 5.336120734388253626 C4(271,349) = 2792 Sum = 4171.199528330632707 Averaged sum = 0.4167448824388682892 logp*logq = 32.80080861297450510 -------------- ************************************* p = 271; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187472093170090.6588 -------------- Searches starting with [271,353]-exponents: u = 1, v = 21 n_start has 56 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(271,353) = 0.7086226797256617728 D2(271,353) = 0.05132366702776266692 C1(271,353) = 0.9678968525673912956 C2(271,353) = 1.737032033252246062 C3(271,353) = 5.300634406293125014 C4(271,353) = 2824 Sum = 4205.111139916218349 Averaged sum = 0.4201329942967547556 logp*logq = 32.86465111383559054 -------------- ************************************* p = 271; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 206035805321145.4557 -------------- Searches starting with [271,359]-exponents: u = 1, v = 19 n_start has 51 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(271,359) = 0.7986875384967706794 D2(271,359) = 0.07141594124615837407 C1(271,359) = 1.250730305947028390 C2(271,359) = 1.779249767527190316 C3(271,359) = 8.629525593274022093 C4(271,359) = 2872 Sum = 3904.282523530855128 Averaged sum = 0.3900771828884858755 logp*logq = 32.95907108185310243 -------------- ************************************* p = 271; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 233111676532790.1551 -------------- Searches starting with [271,367]-exponents: u = 1, v = 18 n_start has 49 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(271,367) = 0.7690692526249898364 D2(271,367) = 0.1244111483852918587 C1(271,367) = 1.130798596486233778 C2(271,367) = 1.856820579940059702 C3(271,367) = 7.018361735709292410 C4(271,367) = 2936 Sum = 3908.924279070089938 Averaged sum = 0.3905409410600549444 logp*logq = 33.08253875309144064 -------------- ************************************* p = 271; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 255280974176673.0368 -------------- Searches starting with [271,373]-exponents: u = 1, v = 17 n_start has 47 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(271,373) = 0.7038102652729290756 D2(271,373) = 0.1002795358024044819 C1(271,373) = 1.039681809910931283 C2(271,373) = 1.858284995097503465 C3(271,373) = 5.998577722685325540 C4(271,373) = 2984 Sum = 3767.212937481939542 Averaged sum = 0.3763825494536856371 logp*logq = 33.17338591400169461 -------------- ************************************* p = 271; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 279153611236719.5827 -------------- Searches starting with [271,379]-exponents: u = 1, v = 16 n_start has 44 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(271,379) = 0.5832778104708935431 D2(271,379) = 0.05828112642405034365 C1(271,379) = 0.8364336131095326089 C2(271,379) = 1.844060276064442652 C3(271,379) = 4.226170668741691510 C4(271,379) = 3032 Sum = 4157.166381927897019 Averaged sum = 0.4153428296461082045 logp*logq = 33.26278332414689624 -------------- ************************************* p = 271; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 296064591252956.6764 -------------- Searches starting with [271,383]-exponents: u = 1, v = 16 n_start has 44 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(271,383) = 0.7689007330550844243 D2(271,383) = 0.1394264508722267914 C1(271,383) = 1.066346638974639424 C2(271,383) = 1.406082508925390271 C3(271,383) = 6.280626638949446157 C4(271,383) = 3064 Sum = 4172.761600219798657 Averaged sum = 0.4169009491677289096 logp*logq = 33.32159876013988502 -------------- ************************************* p = 271; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 323002145225547.1127 -------------- Searches starting with [271,389]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(271,389) = 1.316064212486258685 D2(271,389) = 0.07459536470815816764 C1(271,389) = 1.964645483629500005 C2(271,389) = 1.892338859294400352 C3(271,389) = 29.52888154970054850 C4(271,389) = 3112 Sum = 4960.108386874535767 Averaged sum = 0.4955648303401474439 logp*logq = 33.40868008069431099 -------------- ************************************* p = 271; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 362020538011220.9169 -------------- Searches starting with [271,397]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(271,397) = 0.9061293750121242087 D2(271,397) = 0.02583159040316725736 C1(271,397) = 1.311672798429806991 C2(271,397) = 1.877766836419346389 C3(271,397) = 9.585027792725211439 C4(271,397) = 3176 Sum = 4137.979627935544265 Averaged sum = 0.4134258795020026241 logp*logq = 33.52272206098258608 -------------- ************************************* p = 271; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 382934136723211.8681 -------------- Searches starting with [271,401]-exponents: u = 1, v = 14 n_start has 39 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(271,401) = 0.6502668225581223223 D2(271,401) = 0.09461853803851187909 C1(271,401) = 0.8730116348428659161 C2(271,401) = 1.948143680668153394 C3(271,401) = 4.501116760180410365 C4(271,401) = 3208 Sum = 4205.637170733360439 Averaged sum = 0.4201855500782656048 logp*logq = 33.57888412354108641 -------------- ************************************* p = 271; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 427744366730443.4823 -------------- Searches starting with [271,409]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(271,409) = 0.6325221878585138342 D2(271,409) = 0.01432788461402667073 C1(271,409) = 0.8865604982883554906 C2(271,409) = 1.905716634134763354 C3(271,409) = 4.607439085225994783 C4(271,409) = 3272 Sum = 4356.571821042632782 Averaged sum = 0.4352654432053784376 logp*logq = 33.68954685907688702 -------------- ************************************* p = 271; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 489727543412995.3106 -------------- Searches starting with [271,419]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(271,419) = 0.9299189556061749599 D2(271,419) = 0.1225442712607602431 C1(271,419) = 1.280189191530409654 C2(271,419) = 1.766980333237831565 C3(271,419) = 9.078885654848805854 C4(271,419) = 3352 Sum = 4856.833725507942201 Averaged sum = 0.4852466505652854632 logp*logq = 33.82487031853804120 -------------- ************************************* p = 271; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 502967728157643.2791 -------------- Searches starting with [271,421]-exponents: u = 1, v = 12 n_start has 34 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(271,421) = 0.7469814573915425940 D2(271,421) = 0.1198158554578135036 C1(271,421) = 1.028984930547356131 C2(271,421) = 1.765091244052537118 C3(271,421) = 5.889023072934347408 C4(271,421) = 3368 Sum = 4481.828096468205458 Averaged sum = 0.4477798078197827413 logp*logq = 33.85154712523770839 -------------- ************************************* p = 271; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 573660171413571.2338 -------------- Searches starting with [271,431]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(271,431) = 0.7829433052856593113 D2(271,431) = 0.07613546488328687057 C1(271,431) = 1.309024726957401558 C2(271,431) = 1.253042355167968099 C3(271,431) = 9.541390840869693679 C4(271,431) = 3448 Sum = 4204.363082914344146 Averaged sum = 0.4200582558611593712 logp*logq = 33.98305830106082198 -------------- ************************************* p = 271; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 588733115721097.5636 -------------- Searches starting with [271,433]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(271,433) = 1.186282925731883532 D2(271,433) = 0.07770100866894134173 C1(271,433) = 1.547917825486772283 C2(271,433) = 1.183817518700461620 C3(271,433) = 14.40084213636909065 C4(271,433) = 3464 Sum = 4065.242230522786952 Averaged sum = 0.4061586802400626388 logp*logq = 34.00899408266722282 -------------- ************************************* p = 271; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 635916688408486.1880 -------------- Searches starting with [271,439]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(271,439) = 0.5812298944345915256 D2(271,439) = 0.09853620445113878733 C1(271,439) = 0.8229709099461685022 C2(271,439) = 1.780927942995102510 C3(271,439) = 4.129259593279867579 C4(271,439) = 3512 Sum = 4177.015956179513399 Averaged sum = 0.4173260022159569786 logp*logq = 34.08608867761991111 -------------- ************************************* p = 271; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 669064708178117.9309 -------------- Searches starting with [271,443]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(271,443) = 1.052943422615744309 D2(271,443) = 0.002702440389852322213 C1(271,443) = 1.492564211706087147 C2(271,443) = 1.991357164462088483 C3(271,443) = 13.09073057428678774 C4(271,443) = 3544 Sum = 5168.242101090257056 Averaged sum = 0.5163594865711117050 logp*logq = 34.13690189511344542 -------------- ************************************* p = 271; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 721438216864162.0448 -------------- Searches starting with [271,449]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(271,449) = 0.7151202706936974089 D2(271,449) = 0.06371044270155243551 C1(271,449) = 1.211159600756343181 C2(271,449) = 1.304537252761683368 C3(271,449) = 8.060724763029574099 C4(271,449) = 3592 Sum = 4055.517703610191886 Averaged sum = 0.4051871019692468664 logp*logq = 34.21226785896398362 -------------- ************************************* p = 271; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 796464835921775.3403 -------------- Searches starting with [271,457]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(271,457) = 0.6172231164216324963 D2(271,457) = 0.07906984545645838513 C1(271,457) = 0.8585765164194178759 C2(271,457) = 1.802626956172025763 C3(271,457) = 4.390537840096379926 C4(271,457) = 3656 Sum = 4339.124558099954942 Averaged sum = 0.4335222857528179580 logp*logq = 34.31120409605773027 -------------- ************************************* p = 271; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 836313461445887.1779 -------------- Searches starting with [271,461]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(271,461) = 0.8038824865896092052 D2(271,461) = 0.07458927610281292768 C1(271,461) = 1.089834695254252294 C2(271,461) = 1.799733794795599558 C3(271,461) = 6.540038699846350238 C4(271,461) = 3688 Sum = 4241.823840280752094 Averaged sum = 0.4238009631612301023 logp*logq = 34.36002461261824964 -------------- ************************************* p = 271; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 856843365507774.2312 -------------- Searches starting with [271,463]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(271,463) = 0.6405780573486294120 D2(271,463) = 0.06647173582326189804 C1(271,463) = 0.9926146832401345360 C2(271,463) = 1.651417455369078207 C3(271,463) = 5.531278134575162617 C4(271,463) = 3704 Sum = 4185.790937383990085 Averaged sum = 0.4182027112982306010 logp*logq = 34.38427624711901383 -------------- ************************************* p = 271; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 899146246210103.2135 -------------- Searches starting with [271,467]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(271,467) = 0.5639994138619520074 D2(271,467) = 0.05910955937116776983 C1(271,467) = 0.7864230841820745877 C2(271,467) = 1.559774504422644852 C3(271,467) = 3.877229749605048817 C4(271,467) = 3736 Sum = 4102.768419927418974 Averaged sum = 0.4099079248603675666 logp*logq = 34.43246681371049034 -------------- ************************************* p = 271; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1036473078076620.697 -------------- Searches starting with [271,479]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(271,479) = 0.8315688238160478089 D2(271,479) = 0.05680485851563487976 C1(271,479) = 1.174833700558277815 C2(271,479) = 1.828305534324225113 C3(271,479) = 7.571632395186500265 C4(271,479) = 3832 Sum = 3926.919259372564180 Averaged sum = 0.3923388209983578959 logp*logq = 34.57460007359018208 -------------- ************************************* p = 271; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1137251649146677.241 -------------- Searches starting with [271,487]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(271,487) = 0.7239320168174449330 D2(271,487) = 0.04868896513051486946 C1(271,487) = 0.9978623898501326884 C2(271,487) = 1.823267079983375237 C3(271,487) = 5.581521866010855662 C4(271,487) = 3896 Sum = 4446.129080574640456 Averaged sum = 0.4442131162528364927 logp*logq = 34.66739091249559420 -------------- ************************************* p = 271; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1190579157776174.603 -------------- Searches starting with [271,491]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(271,491) = 0.7546141387518958143 D2(271,491) = 0.04099953799588000483 C1(271,491) = 1.057684127577958624 C2(271,491) = 1.668441692227036951 C3(271,491) = 6.187573437752618902 C4(271,491) = 3928 Sum = 4573.000489132944985 Averaged sum = 0.4568888489492401824 logp*logq = 34.71321627084718630 -------------- ************************************* p = 271; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1303406394358852.271 -------------- Searches starting with [271,499]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(271,499) = 0.5671409196734007980 D2(271,499) = 0.02979615131922453583 C1(271,499) = 0.8048740618925240442 C2(271,499) = 1.459827647513398685 C3(271,499) = 4.002481823016484694 C4(271,499) = 3992 Sum = 4345.815706467422066 Averaged sum = 0.4341907989277072700 logp*logq = 34.80375753572153993 -------------- ************************************* p = 271; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1363028243383530.561 -------------- Searches starting with [271,503]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(271,503) = 0.8222614626373182235 D2(271,503) = 0.02026067375059966503 C1(271,503) = 1.437773978441339711 C2(271,503) = 2.144494357532197772 C3(271,503) = 11.91136372924637016 C4(271,503) = 4024 Sum = 4158.179484645617558 Averaged sum = 0.4154440488206231949 logp*logq = 34.84848526889500906 -------------- ************************************* p = 271; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1456648048141325.596 -------------- Searches starting with [271,509]-exponents: u = 1, v = 8 n_start has 25 digits starting right neighbors generation We generated 18 left neighbors We generated 9992 right neighbors We generated 10009 non-negative rho_i D1(271,509) = 0.7921845981650385741 D2(271,509) = 0.02857708114418949052 C1(271,509) = 1.096296744369239067 C2(271,509) = 1.857864194391826230 C3(271,509) = 6.613269293847032495 C4(271,509) = 4072 Sum = 4716.333374460826940 Averaged sum = 0.4712092491218730083 logp*logq = 34.91491433367204507 -------------- ************************************* p = 271; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1659769359599054.539 -------------- Searches starting with [271,521]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(271,521) = 0.9774021741416360046 D2(271,521) = 0.01774448661087921228 C1(271,521) = 1.377955962829683391 C2(271,521) = 1.851460587801075548 C3(271,521) = 10.74475546633603054 C4(271,521) = 4168 Sum = 4405.352677239123825 Averaged sum = 0.4401391424956662829 logp*logq = 35.04545504762551155 -------------- ************************************* p = 271; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1695779870751941.015 -------------- Searches starting with [271,523]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(271,523) = 0.7679966534306213558 D2(271,523) = 0.01599051284893016107 C1(271,523) = 1.217482998032339125 C2(271,523) = 1.850434640540265815 C3(271,523) = 8.149035715467782461 C4(271,523) = 4184 Sum = 3896.648142048879192 Averaged sum = 0.3893144312167928057 logp*logq = 35.06691913066781773 -------------- ************************************* p = 271; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2049726141680571.296 -------------- Searches starting with [271,541]-exponents: u = 82, v = 8 n_start has 222 digits starting right neighbors generation We generated 1431 left neighbors We generated 8579 right neighbors We generated 10009 non-negative rho_i D1(271,541) = 0.6631837352950139506 D2(271,541) = 0.0005953944850421371873 C1(271,541) = 1.183614123712348689 C2(271,541) = 1.349078328550869178 C3(271,541) = 7.687061766450322226 C4(271,541) = 4328 Sum = 4371.439335174298331 Averaged sum = 0.4367508577454589201 logp*logq = 35.25648258971302863 -------------- ************************************* p = 271; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2180370674257649.019 -------------- Searches starting with [271,547]-exponents: u = 9, v = 335 n_start has 940 digits --- performed 5000 steps in the continued fraction search [271,547]-exponents: u = 66, v = 223 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(271,547) = 0.6230590852970861140 D2(271,547) = 0.001919773445074440167 C1(271,547) = 0.8040397708632308181 C2(271,547) = 1.094546757615131290 C3(271,547) = 3.996731971846946604 C4(271,547) = 4376 Sum = 4753.626773526003059 Averaged sum = 0.4754102183744377496 logp*logq = 35.31827129132067178 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(271,547) = 0.6230590852970861140 D2(271,547) = 0.001919773445074440167 C1(271,547) = 0.8040397708632308181 C2(271,547) = 1.094546757615131290 C3(271,547) = 3.996731971846946604 C4(271,547) = 4376 Sum = 4753.626773526003059 Averaged sum = 0.4754102183744377496 logp*logq = 35.31827129132067178 -------------- ************************************* p = 271; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2413276413598126.722 -------------- Searches starting with [271,557]-exponents: u = 9, v = 31 n_start has 108 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(271,557) = 0.7224950907704322984 D2(271,557) = 0.05299322570441130698 C1(271,557) = 1.007419814354984226 C2(271,557) = 1.592935908169531271 C3(271,557) = 5.674204073812282483 C4(271,557) = 4456 Sum = 4316.693810681954875 Averaged sum = 0.4312812279630287616 logp*logq = 35.41976172683641959 -------------- ************************************* p = 271; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2562564738075607.340 -------------- Searches starting with [271,563]-exponents: u = 9, v = 15 n_start has 64 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(271,563) = 0.9167105180359981321 D2(271,563) = 0.09684288786545770003 C1(271,563) = 1.401541161826502918 C2(271,563) = 1.815839082391960158 C3(271,563) = 11.19042483272716313 C4(271,563) = 4504 Sum = 3882.067266450428141 Averaged sum = 0.3878576547557626278 logp*logq = 35.47978500269535287 -------------- ************************************* p = 271; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2719357345945816.680 -------------- Searches starting with [271,569]-exponents: u = 9, v = 15 n_start has 64 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(271,569) = 0.6372662574392834984 D2(271,569) = 0.1389629927684153575 C1(271,569) = 0.8900635138892957545 C2(271,569) = 1.859734564856190098 C3(271,569) = 4.635334631695983721 C4(271,569) = 4552 Sum = 3940.557717377196633 Averaged sum = 0.3937014404413224731 logp*logq = 35.53917197742960604 -------------- ************************************* p = 271; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2773339417442541.992 -------------- Searches starting with [271,571]-exponents: u = 9, v = 15 n_start has 64 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(271,571) = 0.8052986209832303307 D2(271,571) = 0.1146776393789656532 C1(271,571) = 1.295122565240502151 C2(271,571) = 1.270468610919413777 C3(271,571) = 9.315538630728638257 C4(271,571) = 4568 Sum = 3876.354279401576058 Averaged sum = 0.3872868697573759674 logp*logq = 35.55882855486266456 -------------- ************************************* p = 271; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2940593484570890.337 -------------- Searches starting with [271,577]-exponents: u = 17, v = 7 n_start has 61 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(271,577) = 0.6283678962503661246 D2(271,577) = 0.1201270551034704073 C1(271,577) = 0.8465437725744649083 C2(271,577) = 1.859659322071181774 C3(271,577) = 4.300440990526648504 C4(271,577) = 4616 Sum = 4183.487918746705392 Averaged sum = 0.4179726165198027167 logp*logq = 35.61738782138947980 -------------- ************************************* p = 271; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3237722439424318.417 -------------- Searches starting with [271,587]-exponents: u = 33, v = 7 n_start has 100 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(271,587) = 0.9861237406529094395 D2(271,587) = 0.04909908093889469382 C1(271,587) = 1.472104123030239718 C2(271,587) = 1.791884128534296174 C3(271,587) = 12.63724862317875827 C4(271,587) = 4696 Sum = 3353.186923790619924 Averaged sum = 0.3350171769198341417 logp*logq = 35.71364652673420335 -------------- ************************************* p = 271; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3427534927211129.860 -------------- Searches starting with [271,593]-exponents: u = 49, v = 7 n_start has 139 digits starting right neighbors generation We generated 1366 left neighbors We generated 8644 right neighbors We generated 10009 non-negative rho_i D1(271,593) = 1.016347120825423269 D2(271,593) = 0.01283961539097668123 C1(271,593) = 1.391888490200039462 C2(271,593) = 1.757549437977971467 C3(271,593) = 11.00583443355450232 C4(271,593) = 4744 Sum = 4689.871952495054639 Averaged sum = 0.4685654863118248216 logp*logq = 35.77061771760080816 -------------- ************************************* p = 271; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3626394733370647.699 -------------- Searches starting with [271,599]-exponents: u = 121, v = 7 n_start has 314 digits --- performed 5000 steps in the continued fraction search [271,599]-exponents: u = 47, v = 16 --- starting right neighbors generation We generated 7157 left neighbors We generated 2853 right neighbors We generated 10009 non-negative rho_i D1(271,599) = 0.7188786603892992876 D2(271,599) = 0.00009440250975728274481 C1(271,599) = 0.9737722812373738665 C2(271,599) = 1.644944540544260263 C3(271,599) = 5.354571743864780220 C4(271,599) = 4792 Sum = 4573.239208908019616 Averaged sum = 0.4569126994612868034 logp*logq = 35.82701536325175272 -------------- ************************************* p = 271; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3694749342046271.334 -------------- Searches starting with [271,601]-exponents: u = 233, v = 7 n_start has 587 digits --- performed 5000 steps in the continued fraction search [271,601]-exponents: u = 69, v = 128 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(271,601) = 0.5461562997687277363 D2(271,601) = 0.2105870169155214632 C1(271,601) = 0.7188034831438778403 C2(271,601) = 1.426137353568870502 C3(271,601) = 3.450787779200796655 C4(271,601) = 4808 Sum = 5019.242569892674600 Averaged sum = 0.5019744544347109311 logp*logq = 35.84568910994520406 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(271,601) = 0.5461562997687277363 D2(271,601) = 0.2105870169155214632 C1(271,601) = 0.7188034831438778403 C2(271,601) = 1.426137353568870502 C3(271,601) = 3.450787779200796655 C4(271,601) = 4808 Sum = 5019.242569892674600 Averaged sum = 0.5019744544347109311 logp*logq = 35.84568910994520406 -------------- ************************************* p = 271; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3906193457950594.069 -------------- Searches starting with [271,607]-exponents: u = 8, v = 125 n_start has 368 digits --- performed 5000 steps in the continued fraction search [271,607]-exponents: u = 85, v = 16 --- starting right neighbors generation We generated 9717 left neighbors We generated 293 right neighbors We generated 10009 non-negative rho_i D1(271,607) = 0.7621087479420446644 D2(271,607) = 0.005670715718565164593 C1(271,607) = 1.023848940856546167 C2(271,607) = 1.599032606749979799 C3(271,607) = 5.837134844014697625 C4(271,607) = 4856 Sum = 4685.731086923718491 Averaged sum = 0.4681517720974841133 logp*logq = 35.90133975454385150 -------------- ************************************* p = 271; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4127478186879525.469 -------------- Searches starting with [271,613]-exponents: u = 8, v = 48 n_start has 154 digits starting right neighbors generation We generated 1582 left neighbors We generated 8428 right neighbors We generated 10009 non-negative rho_i D1(271,613) = 0.7307736368067086238 D2(271,613) = 0.04158771250071317299 C1(271,613) = 0.9751279165451977075 C2(271,613) = 1.713587421983086076 C3(271,613) = 5.367094408624612790 C4(271,613) = 4904 Sum = 3771.868298631710404 Averaged sum = 0.3768476669629044264 logp*logq = 35.95644300688258561 -------------- ************************************* p = 271; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4280643229622512.337 -------------- Searches starting with [271,617]-exponents: u = 8, v = 34 n_start has 115 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(271,617) = 0.6933084958106562032 D2(271,617) = 0.01010741454691142890 C1(271,617) = 0.9275638447719378925 C2(271,617) = 1.549484916640769696 C3(271,617) = 4.944752417260063756 C4(271,617) = 4936 Sum = 3876.975309535407381 Averaged sum = 0.3873489169283052634 logp*logq = 35.99287968050736604 -------------- ************************************* p = 271; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4358958426390397.704 -------------- Searches starting with [271,619]-exponents: u = 8, v = 27 n_start has 95 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(271,619) = 0.5639181585328413139 D2(271,619) = 0.01805755808226802788 C1(271,619) = 0.7926420730295867493 C2(271,619) = 1.614876834666538757 C3(271,619) = 3.919002414832811349 C4(271,619) = 4952 Sum = 4144.429451166885104 Averaged sum = 0.4140702818630117997 logp*logq = 36.01100953070241774 -------------- ************************************* p = 271; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4853970945475221.538 -------------- Searches starting with [271,631]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(271,631) = 0.6520409734871055257 D2(271,631) = 0.07476584463718443409 C1(271,631) = 0.9253596723866390582 C2(271,631) = 1.866626653886938114 C3(271,631) = 4.926007332153775381 C4(271,631) = 5048 Sum = 3939.055649902043330 Averaged sum = 0.3935513687583218434 logp*logq = 36.11857351651016403 -------------- ************************************* p = 271; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5300931530599658.988 -------------- Searches starting with [271,641]-exponents: u = 8, v = 13 n_start has 56 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(271,641) = 0.9893604706265792847 D2(271,641) = 0.08005096914930656546 C1(271,641) = 1.618929427323126182 C2(271,641) = 1.152221052871565297 C3(271,641) = 16.27532187540923435 C4(271,641) = 5128 Sum = 2779.920176725345686 Averaged sum = 0.2777420498276896480 logp*logq = 36.20665896051519771 -------------- ************************************* p = 271; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5394255889636906.287 -------------- Searches starting with [271,643]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(271,643) = 0.8029290393249848619 D2(271,643) = 0.09162883031214980022 C1(271,643) = 1.313836506334029962 C2(271,643) = 1.285057406325286507 C3(271,643) = 9.620831142663226625 C4(271,643) = 5144 Sum = 4044.017406206030606 Averaged sum = 0.4040381063249106410 logp*logq = 36.22411105818355106 -------------- ************************************* p = 271; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5584956237466584.899 -------------- Searches starting with [271,647]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(271,647) = 1.178000049272024858 D2(271,647) = 0.09765498338957995280 C1(271,647) = 1.602735895726326600 C2(271,647) = 1.914227892507773226 C3(271,647) = 15.82745616705724553 C4(271,647) = 5176 Sum = 4577.958263793640579 Averaged sum = 0.4573841806168089298 logp*logq = 36.25885299167448642 -------------- ************************************* p = 271; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5881364718668068.483 -------------- Searches starting with [271,653]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(271,653) = 0.5727990861678125125 D2(271,653) = 0.06385317880034650629 C1(271,653) = 0.8148608281423337413 C2(271,653) = 1.882226027370166337 C3(271,653) = 4.071955169254302976 C4(271,653) = 5224 Sum = 4014.881334997470928 Averaged sum = 0.4011271190925637854 logp*logq = 36.31056522490291667 -------------- ************************************* p = 271; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6190575648211354.453 -------------- Searches starting with [271,659]-exponents: u = 22, v = 6 n_start has 71 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(271,659) = 0.5358348101360698701 D2(271,659) = 0.03316485675301652203 C1(271,659) = 0.7510429011104886318 C2(271,659) = 1.853320933717203488 C3(271,659) = 3.647914866862964062 C4(271,659) = 5272 Sum = 4231.429398266899999 Averaged sum = 0.4227624536184334098 logp*logq = 36.36180447376331037 -------------- ************************************* p = 271; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6296564766248638.177 -------------- Searches starting with [271,661]-exponents: u = 22, v = 6 n_start has 71 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(271,661) = 0.7178779630880398361 D2(271,661) = 0.02351095270755798682 C1(271,661) = 1.032492052616060891 C2(271,661) = 1.844257778588509655 C3(271,661) = 5.924719839242692998 C4(271,661) = 5288 Sum = 4129.585527040663172 Averaged sum = 0.4125872242022842614 logp*logq = 36.37878060439295885 -------------- ************************************* p = 271; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6964283100443481.910 -------------- Searches starting with [271,673]-exponents: u = 43, v = 6 n_start has 122 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(271,673) = 0.6427056905646819260 D2(271,673) = 0.02994983680551804127 C1(271,673) = 0.8681396320512102291 C2(271,673) = 1.744077011881046503 C3(271,673) = 4.463487308408476096 C4(271,673) = 5384 Sum = 4012.382226535678006 Averaged sum = 0.4008774329639002903 logp*logq = 36.47957106797822178 -------------- ************************************* p = 271; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7199362722768651.769 -------------- Searches starting with [271,677]-exponents: u = 57, v = 6 n_start has 156 digits starting right neighbors generation We generated 1483 left neighbors We generated 8527 right neighbors We generated 10009 non-negative rho_i D1(271,677) = 0.6100996319418745415 D2(271,677) = 0.04197103298364427538 C1(271,677) = 0.8293118880203378937 C2(271,677) = 1.681354654889445714 C3(271,677) = 4.174625023813244729 C4(271,677) = 5416 Sum = 4120.549819087039016 Averaged sum = 0.4116844658894034385 logp*logq = 36.51276890628881324 -------------- ************************************* p = 271; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7564175044098766.968 -------------- Searches starting with [271,683]-exponents: u = 113, v = 6 n_start has 292 digits --- performed 5000 steps in the continued fraction search [271,683]-exponents: u = 27, v = 12 --- starting right neighbors generation We generated 5535 left neighbors We generated 4475 right neighbors We generated 10009 non-negative rho_i D1(271,683) = 0.5628907359488438554 D2(271,683) = 0.01763601417812412533 C1(271,683) = 0.7654915898083507630 C2(271,683) = 1.556968440855889747 C3(271,683) = 3.739877732546662921 C4(271,683) = 5464 Sum = 4513.958791610629291 Averaged sum = 0.4509899881717083916 logp*logq = 36.56219968717614354 -------------- ************************************* p = 271; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8074086738886932.484 -------------- Searches starting with [271,691]-exponents: u = 7, v = 395 n_start has 1139 digits --- performed 5000 steps in the continued fraction search [271,691]-exponents: u = 307, v = 127 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(271,691) = 0.5671243691505814717 D2(271,691) = 0.3401870148279311972 C1(271,691) = 0.7264549983550888412 C2(271,691) = 1.442063674000423575 C3(271,691) = 3.496586532198180007 C4(271,691) = 5528 Sum = 5416.154940836022659 Averaged sum = 0.5416696610497072366 logp*logq = 36.62743616027195432 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(271,691) = 0.5671243691505814717 D2(271,691) = 0.3401870148279311972 C1(271,691) = 0.7264549983550888412 C2(271,691) = 1.442063674000423575 C3(271,691) = 3.496586532198180007 C4(271,691) = 5528 Sum = 5416.154940836022659 Averaged sum = 0.5416696610497072366 logp*logq = 36.62743616027195432 -------------- ************************************* p = 271; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8750854589820880.949 -------------- Searches starting with [271,701]-exponents: u = 7, v = 53 n_start has 168 digits starting right neighbors generation We generated 1813 left neighbors We generated 8197 right neighbors We generated 10009 non-negative rho_i D1(271,701) = 0.8648824222456338990 D2(271,701) = 0.01713731355683832271 C1(271,701) = 1.170576248565506325 C2(271,701) = 1.683382837243446962 C3(271,701) = 7.516288590394994843 C4(271,701) = 5608 Sum = 4235.513636610821319 Averaged sum = 0.4231705102019004216 logp*logq = 36.70792775791915822 -------------- ************************************* p = 271; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9325216550278238.561 -------------- Searches starting with [271,709]-exponents: u = 7, v = 29 n_start has 100 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(271,709) = 0.5734485895755900305 D2(271,709) = 0.02858815027287373456 C1(271,709) = 0.7813215172368114001 C2(271,709) = 1.781138234854017831 C3(271,709) = 3.843295407343812978 C4(271,709) = 5672 Sum = 4180.383815180395701 Averaged sum = 0.4176624852812864124 logp*logq = 36.77149858272087042 -------------- ************************************* p = 271; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10086365065959136.28 -------------- Searches starting with [271,719]-exponents: u = 7, v = 17 n_start has 66 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(271,719) = 0.6727040696214823667 D2(271,719) = 0.1029674239918166804 C1(271,719) = 1.024410366138721397 C2(271,719) = 1.857782703380284817 C3(271,719) = 5.842784520459919966 C4(271,719) = 5752 Sum = 3959.122934596907236 Averaged sum = 0.3955562927961741668 logp*logq = 36.84996091322637852 -------------- ************************************* p = 271; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10731385092358352.94 -------------- Searches starting with [271,727]-exponents: u = 7, v = 17 n_start has 66 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(271,727) = 0.7355023031451673776 D2(271,727) = 0.01029467560231722489 C1(271,727) = 1.158601761159892002 C2(271,727) = 1.767716491683054958 C3(271,727) = 7.362788261465974781 C4(271,727) = 5816 Sum = 3857.617841994203402 Averaged sum = 0.3854149107797185934 logp*logq = 36.91194902918312057 -------------- ************************************* p = 271; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11237065183648132.14 -------------- Searches starting with [271,733]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(271,733) = 0.5585658338053229656 D2(271,733) = 0.02977940773364760569 C1(271,733) = 0.8009971585391944995 C2(271,733) = 1.915582750370770849 C3(271,733) = 3.975832492603790004 C4(271,733) = 5864 Sum = 4036.357959200486915 Averaged sum = 0.4032728503547294350 logp*logq = 36.95799410062483485 -------------- ************************************* p = 271; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11762157723749761.03 -------------- Searches starting with [271,739]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(271,739) = 0.7191935116202298867 D2(271,739) = 0.04925539137545768077 C1(271,739) = 1.002818039878111203 C2(271,739) = 1.936494922475319678 C3(271,739) = 5.629388254399644669 C4(271,739) = 5912 Sum = 4226.530407104161497 Averaged sum = 0.4222729950149027372 logp*logq = 37.00366380046147993 -------------- ************************************* p = 271; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12123289277061019.50 -------------- Searches starting with [271,743]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(271,743) = 0.7966838055573629718 D2(271,743) = 0.06270174034619533496 C1(271,743) = 1.133357998015148939 C2(271,743) = 1.950892136912690108 C3(271,743) = 7.049382606754234866 C4(271,743) = 5944 Sum = 3781.430513766738750 Averaged sum = 0.3778030286508880757 logp*logq = 37.03390473122835547 -------------- ************************************* p = 271; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12872906450175072.68 -------------- Searches starting with [271,751]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(271,751) = 1.127474910626937097 D2(271,751) = 0.05116826722373326273 C1(271,751) = 1.884917790298066054 C2(271,751) = 1.115322107820162280 C3(271,751) = 25.73846209890062653 C4(271,751) = 6008 Sum = 2527.658430141126613 Averaged sum = 0.2525385583116321923 logp*logq = 37.09390122242708196 -------------- ************************************* p = 271; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13459756825800396.20 -------------- Searches starting with [271,757]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(271,757) = 0.7471095371893371381 D2(271,757) = 0.06246931995823967307 C1(271,757) = 1.049120951654077395 C2(271,757) = 1.980473494867684897 C3(271,757) = 6.096942425180397369 C4(271,757) = 6056 Sum = 4572.067483740792914 Averaged sum = 0.4567956323050047870 logp*logq = 37.13848065253021830 -------------- ************************************* p = 271; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13863063607004570.90 -------------- Searches starting with [271,761]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(271,761) = 0.6991646484397583329 D2(271,761) = 0.04658277893076038485 C1(271,761) = 1.015652383405515031 C2(271,761) = 1.965652594849885647 C3(271,761) = 5.755271465802144110 C4(271,761) = 6088 Sum = 4057.904173178454254 Averaged sum = 0.4054255343369421774 logp*logq = 37.16800440371323812 -------------- ************************************* p = 271; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14699489889890947.32 -------------- Searches starting with [271,769]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(271,769) = 0.6123982125121068268 D2(271,769) = 0.01680650188566060523 C1(271,769) = 0.8807852030101774499 C2(271,769) = 1.937990649113503988 C3(271,769) = 4.561814765100609268 C4(271,769) = 6152 Sum = 3798.864286854167694 Averaged sum = 0.3795448383309189423 logp*logq = 37.22658918672530671 -------------- ************************************* p = 271; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15132988462271864.51 -------------- Searches starting with [271,773]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(271,773) = 0.8194457688805029732 D2(271,773) = 0.002785294854677469807 C1(271,773) = 1.090211096104837124 C2(271,773) = 1.925018250674461252 C3(271,773) = 6.544281900389203179 C4(271,773) = 6184 Sum = 4070.281134286491675 Averaged sum = 0.4066621175228785767 logp*logq = 37.25565342219354745 -------------- ************************************* p = 271; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16733799186456504.65 -------------- Searches starting with [271,787]-exponents: u = 19, v = 5 n_start has 61 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(271,787) = 0.7877758761096253076 D2(271,787) = 0.07742785789266433103 C1(271,787) = 1.209510919735177614 C2(271,787) = 1.881739623596794417 C3(271,787) = 8.037857416374588222 C4(271,787) = 6296 Sum = 3568.442752946386804 Averaged sum = 0.3565234042308309325 logp*logq = 37.35620697238081623 -------------- ************************************* p = 271; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17960328272793326.68 -------------- Searches starting with [271,797]-exponents: u = 31, v = 5 n_start has 90 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(271,797) = 0.6480445405226307743 D2(271,797) = 0.01311545286500235138 C1(271,797) = 0.8604412346832715279 C2(271,797) = 1.819883990876013022 C3(271,797) = 4.404668116743302872 C4(271,797) = 6376 Sum = 3877.830260648659905 Averaged sum = 0.3874343351632190933 logp*logq = 37.42694173561287238 -------------- ************************************* p = 271; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19528691422130436.89 -------------- Searches starting with [271,809]-exponents: u = 49, v = 5 n_start has 134 digits starting right neighbors generation We generated 1075 left neighbors We generated 8935 right neighbors We generated 10009 non-negative rho_i D1(271,809) = 0.6626026375897199433 D2(271,809) = 0.0002448614876811620354 C1(271,809) = 0.9559770124713723255 C2(271,809) = 1.726683442124521956 C3(271,809) = 5.192871923074448307 C4(271,809) = 6472 Sum = 3238.503408920694507 Averaged sum = 0.3235591376681680994 logp*logq = 37.51066113407929567 -------------- ************************************* p = 271; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19800696985058500.10 -------------- Searches starting with [271,811]-exponents: u = 55, v = 5 n_start has 149 digits starting right neighbors generation We generated 1236 left neighbors We generated 8774 right neighbors We generated 10009 non-negative rho_i D1(271,811) = 0.9723591462703961556 D2(271,811) = 0.03269908978748317189 C1(271,811) = 1.390471545171645629 C2(271,811) = 1.697583367547118894 C3(271,811) = 10.97899534931080375 C4(271,811) = 6488 Sum = 3610.786455708911948 Averaged sum = 0.3607539670005906632 logp*logq = 37.52449353325720562 -------------- ************************************* p = 271; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21207850388993114.17 -------------- Searches starting with [271,821]-exponents: u = 109, v = 5 n_start has 280 digits starting right neighbors generation We generated 4665 left neighbors We generated 5345 right neighbors We generated 10009 non-negative rho_i D1(271,821) = 0.5630305039715851068 D2(271,821) = 0.001912061650052774056 C1(271,821) = 0.7698331454572097681 C2(271,821) = 1.546858832857503756 C3(271,821) = 3.767961158765718654 C4(271,821) = 6568 Sum = 4279.439977783818627 Averaged sum = 0.4275591945033288667 logp*logq = 37.59314780941162126 -------------- ************************************* p = 271; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21498902356480770.20 -------------- Searches starting with [271,823]-exponents: u = 139, v = 5 n_start has 353 digits --- performed 5000 steps in the continued fraction search [271,823]-exponents: u = 81, v = 9 --- starting right neighbors generation We generated 7405 left neighbors We generated 2605 right neighbors We generated 10009 non-negative rho_i D1(271,823) = 0.7172145352309320779 D2(271,823) = 0.004679810093751384103 C1(271,823) = 0.9676697156717167667 C2(271,823) = 1.496346476870711758 C3(271,823) = 5.298560198095064217 C4(271,823) = 6584 Sum = 4566.339435675540979 Averaged sum = 0.4562233425592507722 logp*logq = 37.60677827555410315 -------------- ************************************* p = 271; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22090855002121730.12 -------------- Searches starting with [271,827]-exponents: u = 283, v = 5 n_start has 704 digits **************************************************** Computing .... elapsed time = 32 minutes **************************************************** --- performed 5000 steps in the continued fraction search [271,827]-exponents: u = 20, v = 206 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(271,827) = 0.8253525655012759509 D2(271,827) = 0.2151131073657707431 C1(271,827) = 1.077272755177054364 C2(271,827) = 1.432965643967529847 C3(271,827) = 6.399993917943333400 C4(271,827) = 6616 Sum = 5074.273485330153254 Averaged sum = 0.5074780963426495904 logp*logq = 37.63394011698624030 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(271,827) = 0.8253525655012759509 D2(271,827) = 0.2151131073657707431 C1(271,827) = 1.077272755177054364 C2(271,827) = 1.432965643967529847 C3(271,827) = 6.399993917943333400 C4(271,827) = 6616 Sum = 5074.273485330153254 Averaged sum = 0.5074780963426495904 logp*logq = 37.63394011698624030 -------------- ************************************* p = 271; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22391813350351918.34 -------------- Searches starting with [271,829]-exponents: u = 577, v = 5 n_start has 1419 digits --- performed 5000 steps in the continued fraction search [271,829]-exponents: u = 395, v = 148 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(271,829) = 0.7055601983614088490 D2(271,829) = 0.3692962672766053096 C1(271,829) = 0.8967858370845342692 C2(271,829) = 1.461598813757528762 C3(271,829) = 4.689340386139512055 C4(271,829) = 6632 Sum = 5506.762336986291637 Averaged sum = 0.5507313068293120949 logp*logq = 37.64747181153853934 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(271,829) = 0.7055601983614088490 D2(271,829) = 0.3692962672766053096 C1(271,829) = 0.8967858370845342692 C2(271,829) = 1.461598813757528762 C3(271,829) = 4.689340386139512055 C4(271,829) = 6632 Sum = 5506.762336986291637 Averaged sum = 0.5507313068293120949 logp*logq = 37.64747181153853934 -------------- ************************************* p = 271; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23947595206880078.84 -------------- Searches starting with [271,839]-exponents: u = 6, v = 114 n_start has 348 digits --- performed 5000 steps in the continued fraction search [271,839]-exponents: u = 50, v = 32 --- starting right neighbors generation We generated 6943 left neighbors We generated 3067 right neighbors We generated 10009 non-negative rho_i D1(271,839) = 0.6012271491111875205 D2(271,839) = 0.01599037432818320036 C1(271,839) = 0.8117983917504954419 C2(271,839) = 1.496251233105127611 C3(271,839) = 4.050523970012639119 C4(271,839) = 6712 Sum = 4536.788432097830831 Averaged sum = 0.4532708994003227926 logp*logq = 37.71464430482776326 -------------- ************************************* p = 271; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26273911368402350.54 -------------- Searches starting with [271,853]-exponents: u = 6, v = 39 n_start has 129 digits starting right neighbors generation We generated 892 left neighbors We generated 9118 right neighbors We generated 10009 non-negative rho_i D1(271,853) = 0.5955863001597924470 D2(271,853) = 0.02822928252843349489 C1(271,853) = 0.8540764843237089269 C2(271,853) = 1.722456645585725283 C3(271,853) = 4.356624355560539891 C4(271,853) = 6824 Sum = 4183.280799066631110 Averaged sum = 0.4179519231758048866 logp*logq = 37.80735287859470923 -------------- ************************************* p = 271; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26971621953285951.78 -------------- Searches starting with [271,857]-exponents: u = 6, v = 34 n_start has 115 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(271,857) = 0.6814836801980983047 D2(271,857) = 0.002105516490591956589 C1(271,857) = 0.9437590389215013460 C2(271,857) = 1.765936510437418679 C3(271,857) = 5.084687450044188685 C4(271,857) = 6856 Sum = 4230.105099855819330 Averaged sum = 0.4226301428570106234 logp*logq = 37.83356166941925559 -------------- ************************************* p = 271; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27326142164846229.63 -------------- Searches starting with [271,859]-exponents: u = 6, v = 29 n_start has 100 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(271,859) = 0.8601054770856864296 D2(271,859) = 0.01543048572701704898 C1(271,859) = 1.259205407972709384 C2(271,859) = 1.779628145100033412 C3(271,859) = 8.756474420250860020 C4(271,859) = 6872 Sum = 4598.977720823860684 Averaged sum = 0.4594842362697432995 logp*logq = 37.84662022736216476 -------------- ************************************* p = 271; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28046672092719775.74 -------------- Searches starting with [271,863]-exponents: u = 6, v = 29 n_start has 100 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(271,863) = 0.7198444988239478456 D2(271,863) = 0.04346300335940470239 C1(271,863) = 1.068737414829755250 C2(271,863) = 1.808391399567520804 C3(271,863) = 6.306554011746095492 C4(271,863) = 6904 Sum = 3033.900439856573463 Averaged sum = 0.3031172384710334163 logp*logq = 37.87264637787010077 -------------- ************************************* p = 271; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30692581083785613.49 -------------- Searches starting with [271,877]-exponents: u = 6, v = 19 n_start has 71 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(271,877) = 0.6887704445219561874 D2(271,877) = 0.02532966615192940545 C1(271,877) = 0.9636667188329704795 C2(271,877) = 1.887976624778259273 C3(271,877) = 5.262137849162824697 C4(271,877) = 7016 Sum = 4359.728558684263697 Averaged sum = 0.4355808331186196120 logp*logq = 37.96279736179110236 -------------- ************************************* p = 271; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31485091774988954.92 -------------- Searches starting with [271,881]-exponents: u = 6, v = 19 n_start has 71 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(271,881) = 0.9770902840525282854 D2(271,881) = 0.04409877939917948431 C1(271,881) = 1.514072339050962690 C2(271,881) = 1.907503216409219452 C3(271,881) = 13.58499683176507661 C4(271,881) = 7048 Sum = 2664.787397458262230 Averaged sum = 0.2662391245337458517 logp*logq = 37.98829055172689384 -------------- ************************************* p = 271; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31887605103681933.34 -------------- Searches starting with [271,883]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(271,883) = 0.7253115316425414387 D2(271,883) = 0.05380461189560191290 C1(271,883) = 0.9609790783774985052 C2(271,883) = 1.917586476750499787 C3(271,883) = 5.237824212446642892 C4(271,883) = 7064 Sum = 3997.451548908220944 Averaged sum = 0.3993857077538436351 logp*logq = 38.00099377445101704 -------------- ************************************* p = 271; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32705319277137578.38 -------------- Searches starting with [271,887]-exponents: u = 6, v = 14 n_start has 56 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(271,887) = 0.5952065961420487996 D2(271,887) = 0.07394092483094675567 C1(271,887) = 0.7958390907368275770 C2(271,887) = 1.938475042625382330 C3(271,887) = 3.940651480884743643 C4(271,887) = 7096 Sum = 4043.573062319039267 Averaged sum = 0.4039937118912018451 logp*logq = 38.02631412861033567 -------------- ************************************* p = 271; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37056760241305155.37 -------------- Searches starting with [271,907]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(271,907) = 0.7272154147997815548 D2(271,907) = 0.1204192816607426732 C1(271,907) = 1.030842516475529409 C2(271,907) = 1.908847792279279453 C3(271,907) = 5.907903386979706225 C4(271,907) = 7256 Sum = 3829.755321919242381 Averaged sum = 0.3826311641441944631 logp*logq = 38.15122719266180637 -------------- ************************************* p = 271; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37981630141796347.76 -------------- Searches starting with [271,911]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(271,911) = 0.8344065383428909894 D2(271,911) = 0.1081752058435899931 C1(271,911) = 1.116674671562425987 C2(271,911) = 1.897401090912017477 C3(271,911) = 6.849613660820117991 C4(271,911) = 7288 Sum = 4097.022146079271723 Averaged sum = 0.4093338141751695197 logp*logq = 38.17587902043209847 -------------- ************************************* p = 271; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39888306524669321.37 -------------- Searches starting with [271,919]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(271,919) = 0.6675478108393116935 D2(271,919) = 0.07946712183826968262 C1(271,919) = 0.9201417268567174342 C2(271,919) = 1.750676722100648810 C3(271,919) = 4.881914761149271871 C4(271,919) = 7352 Sum = 4305.879277426783596 Averaged sum = 0.4302007470703150760 logp*logq = 38.22485960629606810 -------------- ************************************* p = 271; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42381535959410889.86 -------------- Searches starting with [271,929]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(271,929) = 0.6386193641262141979 D2(271,929) = 0.008684808088834175384 C1(271,929) = 0.9063124098114338454 C2(271,929) = 2.027600017150654521 C3(271,929) = 4.766954326713289689 C4(271,929) = 7432 Sum = 4215.735203093882034 Averaged sum = 0.4211944453086104539 logp*logq = 38.28548918964744084 -------------- ************************************* p = 271; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44467047348436786.92 -------------- Searches starting with [271,937]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(271,937) = 0.7816030975082508363 D2(271,937) = 0.02481344854867722201 C1(271,937) = 1.343417662766642296 C2(271,937) = 2.045291277509231065 C3(271,937) = 10.12394365087266582 C4(271,937) = 7496 Sum = 4084.948722274201264 Averaged sum = 0.4081275574257369631 logp*logq = 38.33352480074675131 -------------- ************************************* p = 271; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45540982409409770.94 -------------- Searches starting with [271,941]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(271,941) = 1.724641451150728590 D2(271,941) = 0.01777979747220201841 C1(271,941) = 2.963988139581343707 C2(271,941) = 1.092022201682271103 C3(271,941) = 165.2370332207505644 C4(271,941) = 7528 Sum = 3614.725378660362284 Averaged sum = 0.3611475051114359361 logp*logq = 38.35738902776440429 -------------- ************************************* p = 271; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47191766562709277.85 -------------- Searches starting with [271,947]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(271,947) = 0.6909009669216077830 D2(271,947) = 0.01851915503050706318 C1(271,947) = 1.187387399050453758 C2(271,947) = 2.077537073529835564 C3(271,947) = 7.737205111025950585 C4(271,947) = 7576 Sum = 4252.043685035745164 Averaged sum = 0.4248220286777645283 logp*logq = 38.39299583505551607 -------------- ************************************* p = 271; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48891392614662797.62 -------------- Searches starting with [271,953]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(271,953) = 0.8789326762011787865 D2(271,953) = 0.003603069062617717716 C1(271,953) = 1.248841687519536362 C2(271,953) = 2.063959309051361440 C3(271,953) = 8.601487630465196515 C4(271,953) = 7624 Sum = 3741.092606677716940 Averaged sum = 0.3737728650891914218 logp*logq = 38.42837775574810183 -------------- ************************************* p = 271; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53053475412499952.96 -------------- Searches starting with [271,967]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(271,967) = 0.7337989072217412065 D2(271,967) = 0.07509989381065702517 C1(271,967) = 1.117466213011297318 C2(271,967) = 1.764398254106890854 C3(271,967) = 6.858962501172066462 C4(271,967) = 7736 Sum = 3499.307887171115134 Averaged sum = 0.3496161341963348121 logp*logq = 38.51007676984182318 -------------- ************************************* p = 271; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54294654011116942.79 -------------- Searches starting with [271,971]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(271,971) = 0.6388486100006785374 D2(271,971) = 0.08915651315473281174 C1(271,971) = 0.8794838270922050938 C2(271,971) = 1.905664787888185469 C3(271,971) = 4.551596542597712472 C4(271,971) = 7768 Sum = 4044.849875717287523 Averaged sum = 0.4041212784211497175 logp*logq = 38.53320216416983452 -------------- ************************************* p = 271; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56201073075826075.58 -------------- Searches starting with [271,977]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(271,977) = 0.8805963559370567926 D2(271,977) = 0.1021505761805975061 C1(271,977) = 1.208684176087251467 C2(271,977) = 1.919711466544220426 C3(271,977) = 8.026414844489019166 C4(271,977) = 7816 Sum = 4457.386002637129785 Averaged sum = 0.4453377962470905970 logp*logq = 38.56771224550395374 -------------- ************************************* p = 271; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58162140976809122.48 -------------- Searches starting with [271,983]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(271,983) = 1.242703005817266922 D2(271,983) = 0.1104529613561627758 C1(271,983) = 1.687689559212210942 C2(271,983) = 1.461085027853997972 C3(271,983) = 18.32257003000752041 C4(271,983) = 7864 Sum = 4486.989645576222323 Averaged sum = 0.4482954986088742455 logp*logq = 38.60201103930175796 -------------- ************************************* p = 271; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60864016482749863.18 -------------- Searches starting with [271,991]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(271,991) = 0.6635749190796233926 D2(271,991) = 0.09872587343151142238 C1(271,991) = 1.075982183026196591 C2(271,991) = 1.436358067800370432 C3(271,991) = 6.385777151315020357 C4(271,991) = 7928 Sum = 3967.526359243225500 Averaged sum = 0.3963958796326531621 logp*logq = 38.64741853264636720 -------------- ************************************* p = 271; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62957371025795134.82 -------------- Searches starting with [271,997]-exponents: u = 16, v = 4 n_start has 51 digits starting right neighbors generation We generated 107 left neighbors We generated 9903 right neighbors We generated 10009 non-negative rho_i D1(271,997) = 0.8470329484894811272 D2(271,997) = 0.08256242021206066074 C1(271,997) = 1.214655896454586399 C2(271,997) = 2.014007665823507365 C3(271,997) = 8.109434179978626493 C4(271,997) = 7976 Sum = 3858.152644207834431 Averaged sum = 0.3854683429121624969 logp*logq = 38.68123424188682066 -------------- ************************************* p = 277; q = 281; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59097241636025.82918 -------------- Searches starting with [277,281]-exponents: u = 1, v = 392 n_start has 963 digits --- performed 5000 steps in the continued fraction search [277,281]-exponents: u = 362, v = 19 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,281) = 0.7217216170228995637 D2(277,281) = 0.1085454771404140665 C1(277,281) = 0.9303735609377107575 C2(277,281) = 1.119395845554367069 C3(277,281) = 4.986818770817345910 C4(277,281) = 2248 Sum = 5516.941109300762012 Averaged sum = 0.5517492858586620674 logp*logq = 31.71020536642610844 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,281) = 0.7217216170228995637 D2(277,281) = 0.1085454771404140665 C1(277,281) = 0.9303735609377107575 C2(277,281) = 1.119395845554367069 C3(277,281) = 4.986818770817345910 C4(277,281) = 2248 Sum = 5516.941109300762012 Averaged sum = 0.5517492858586620674 logp*logq = 31.71020536642610844 -------------- ************************************* p = 277; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61502084384437.81222 -------------- Searches starting with [277,283]-exponents: u = 1, v = 262 n_start has 645 digits --- performed 5000 steps in the continued fraction search [277,283]-exponents: u = 193, v = 51 --- starting right neighbors generation We generated 8183 left neighbors We generated 1827 right neighbors We generated 10009 non-negative rho_i D1(277,283) = 0.6370455767892522125 D2(277,283) = 0.005439473172269772843 C1(277,283) = 0.8344931795552885683 C2(277,283) = 1.082339073007448436 C3(277,283) = 4.225798896281479070 C4(277,283) = 2264 Sum = 5277.693105273870220 Averaged sum = 0.5272947452566560316 logp*logq = 31.75009218259656809 -------------- ************************************* p = 277; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74766436571945.65268 -------------- Searches starting with [277,293]-exponents: u = 1, v = 100 n_start has 250 digits starting right neighbors generation We generated 1336 left neighbors We generated 8674 right neighbors We generated 10009 non-negative rho_i D1(277,293) = 0.7509411953670190896 D2(277,293) = 0.003487895731190799192 C1(277,293) = 1.031955394757062846 C2(277,293) = 1.252154862355914290 C3(277,293) = 5.943122760575475403 C4(277,293) = 2344 Sum = 4327.923104205367891 Averaged sum = 0.4324031475877078520 logp*logq = 31.94539019127779500 -------------- ************************************* p = 277; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97209736069220.08975 -------------- Searches starting with [277,307]-exponents: u = 1, v = 54 n_start has 137 digits starting right neighbors generation We generated 419 left neighbors We generated 9591 right neighbors We generated 10009 non-negative rho_i D1(277,307) = 0.5975397001277499608 D2(277,307) = 0.001778277966336052768 C1(277,307) = 0.8539095251607496810 C2(277,307) = 1.391696408186797914 C3(277,307) = 4.369904948752734382 C4(277,307) = 2456 Sum = 4498.290546010223469 Averaged sum = 0.4494245724857851403 logp*logq = 32.20789198769992512 -------------- ************************************* p = 277; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104550970038514.6305 -------------- Searches starting with [277,311]-exponents: u = 1, v = 48 n_start has 123 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(277,311) = 0.6356200012581735424 D2(277,311) = 0.01766515297084849398 C1(277,311) = 0.8745153582360201069 C2(277,311) = 1.437118635764607382 C3(277,311) = 4.528218002226800875 C4(277,311) = 2488 Sum = 4580.667030204756776 Averaged sum = 0.4576548136881563368 logp*logq = 32.28069581998601757 -------------- ************************************* p = 277; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108388958155032.6809 -------------- Searches starting with [277,313]-exponents: u = 1, v = 46 n_start has 118 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(277,313) = 1.014872454941157395 D2(277,313) = 0.03006528791379744605 C1(277,313) = 1.470111540032240183 C2(277,313) = 1.462779521530375919 C3(277,313) = 12.66637250729422336 C4(277,313) = 2504 Sum = 3216.456636497882837 Averaged sum = 0.3213564428512221837 logp*logq = 32.31674733770736037 -------------- ************************************* p = 277; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116412891021259.4036 -------------- Searches starting with [277,317]-exponents: u = 1, v = 41 n_start has 105 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(277,317) = 0.6776024296479411710 D2(277,317) = 0.02303504368551372648 C1(277,317) = 0.9187910749300801771 C2(277,317) = 1.484958484808285654 C3(277,317) = 4.888056087618337061 C4(277,317) = 2536 Sum = 4404.149393433386522 Averaged sum = 0.4400189223132567212 logp*logq = 32.38816439269914369 -------------- ************************************* p = 277; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148441983761095.2660 -------------- Searches starting with [277,331]-exponents: u = 1, v = 31 n_start has 81 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(277,331) = 0.6054816626742618530 D2(277,331) = 0.02263570407343112638 C1(277,331) = 0.8559888022624625761 C2(277,331) = 1.570945696710753624 C3(277,331) = 4.385625520776161197 C4(277,331) = 2648 Sum = 4301.818918781629218 Averaged sum = 0.4297950763094843859 logp*logq = 32.63121531609184126 -------------- ************************************* p = 277; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164223313919892.3193 -------------- Searches starting with [277,337]-exponents: u = 1, v = 28 n_start has 74 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(277,337) = 0.7333460720052038870 D2(277,337) = 0.07315177412861859963 C1(277,337) = 1.015509377156647797 C2(277,337) = 1.646946865849360285 C3(277,337) = 5.776694765219306957 C4(277,337) = 2696 Sum = 4457.074008474895194 Averaged sum = 0.4453066248850929358 logp*logq = 32.73224828776378669 -------------- ************************************* p = 277; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 193578641488792.2486 -------------- Searches starting with [277,347]-exponents: u = 1, v = 24 n_start has 64 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(277,347) = 0.9516687223413910100 D2(277,347) = 0.01080163540053633028 C1(277,347) = 1.456127658844687468 C2(277,347) = 1.643118808472852142 C3(277,347) = 12.36413370011672330 C4(277,347) = 2776 Sum = 4626.253104082723256 Averaged sum = 0.4622093220184557154 logp*logq = 32.89670496179653758 -------------- ************************************* p = 277; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199937711296883.9393 -------------- Searches starting with [277,349]-exponents: u = 1, v = 24 n_start has 64 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(277,349) = 0.8715873055363202938 D2(277,349) = 0.06835664669676630021 C1(277,349) = 1.219167176085128191 C2(277,349) = 1.701526810387014084 C3(277,349) = 8.211684841615011918 C4(277,349) = 2792 Sum = 4889.487855025135076 Averaged sum = 0.4885091272879543487 logp*logq = 32.92902699045240083 -------------- ************************************* p = 277; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 213171698184646.8066 -------------- Searches starting with [277,353]-exponents: u = 1, v = 23 n_start has 62 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(277,353) = 0.8395468923505729611 D2(277,353) = 0.07312344847517270693 C1(277,353) = 1.141882099204373414 C2(277,353) = 1.723784161554253657 C3(277,353) = 7.185630134599204962 C4(277,353) = 2824 Sum = 4325.259831773511456 Averaged sum = 0.4321370598235099866 logp*logq = 32.99311905168168102 -------------- ************************************* p = 277; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 234366702041137.7552 -------------- Searches starting with [277,359]-exponents: u = 1, v = 21 n_start has 57 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(277,359) = 0.6814373571122200270 D2(277,359) = 0.1255872328381041063 C1(277,359) = 0.9603529312545725918 C2(277,359) = 1.795681175291147597 C3(277,359) = 5.251816124094621628 C4(277,359) = 2872 Sum = 4204.147293678131257 Averaged sum = 0.4200366963411061301 logp*logq = 33.08790810740198605 -------------- ************************************* p = 277; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 265293642627929.9675 -------------- Searches starting with [277,367]-exponents: u = 1, v = 19 n_start has 52 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(277,367) = 1.226481619737213275 D2(277,367) = 0.06155011644225469171 C1(277,367) = 1.922219800870095353 C2(277,367) = 1.772738621785061753 C3(277,367) = 27.65378288915655459 C4(277,367) = 2936 Sum = 5162.604624593834319 Averaged sum = 0.5157962458381291157 logp*logq = 33.21185841382971688 -------------- ************************************* p = 277; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 290626686812100.5856 -------------- Searches starting with [277,373]-exponents: u = 1, v = 18 n_start has 49 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(277,373) = 0.9624407797579527078 D2(277,373) = 0.05942288753531349944 C1(277,373) = 1.276456340420772703 C2(277,373) = 1.794318490044094368 C3(277,373) = 9.065709942825762732 C4(277,373) = 2984 Sum = 4159.659438071700290 Averaged sum = 0.4155919110871915565 logp*logq = 33.30306069633797251 -------------- ************************************* p = 277; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 317915760969660.7652 -------------- Searches starting with [277,379]-exponents: u = 1, v = 17 n_start has 47 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(277,379) = 0.8427699305818367236 D2(277,379) = 0.03927270692204008828 C1(277,379) = 1.337092507166223821 C2(277,379) = 1.799743444891029021 C3(277,379) = 10.06657594406785235 C4(277,379) = 3032 Sum = 3710.029195380781410 Averaged sum = 0.3706693171526407643 logp*logq = 33.39280756100470108 -------------- ************************************* p = 277; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 337252460433332.6997 -------------- Searches starting with [277,383]-exponents: u = 1, v = 17 n_start has 47 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(277,383) = 0.6547352703217214438 D2(277,383) = 0.1303137281319335440 C1(277,383) = 0.9369127598657005758 C2(277,383) = 1.892406333350285680 C3(277,383) = 5.043456621895638834 C4(277,383) = 3064 Sum = 4264.247919789189007 Averaged sum = 0.4260413547596352290 logp*logq = 33.45185290656676960 -------------- ************************************* p = 277; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 368062776567419.8782 -------------- Searches starting with [277,389]-exponents: u = 1, v = 16 n_start has 44 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(277,389) = 0.5938953278111353929 D2(277,389) = 0.07939255044425995108 C1(277,389) = 0.8824035081067727523 C2(277,389) = 1.869227916875211549 C3(277,389) = 4.590328934984054869 C4(277,389) = 3112 Sum = 4162.657200457144529 Averaged sum = 0.4158914177697217034 logp*logq = 33.53927462804733934 -------------- ************************************* p = 277; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 412708396800061.6752 -------------- Searches starting with [277,397]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(277,397) = 0.9182837852981252748 D2(277,397) = 0.05173177402920301074 C1(277,397) = 1.242579563851598449 C2(277,397) = 1.872673579902327480 C3(277,397) = 8.550522545666698921 C4(277,397) = 3176 Sum = 4245.297316580546920 Averaged sum = 0.4241479984594411949 logp*logq = 33.65376239849431024 -------------- ************************************* p = 277; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 436646036893290.5847 -------------- Searches starting with [277,401]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(277,401) = 0.8879401169529992633 D2(277,401) = 0.1308167179987213676 C1(277,401) = 1.236906948175787759 C2(277,401) = 1.953333534335374994 C3(277,401) = 8.467163187288610764 C4(277,401) = 3208 Sum = 4947.578549179904074 Averaged sum = 0.4943129732420725421 logp*logq = 33.71014399858379128 -------------- ************************************* p = 277; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 487952565302775.1361 -------------- Searches starting with [277,409]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(277,409) = 0.7403022729254061089 D2(277,409) = 0.06689110058198357329 C1(277,409) = 1.013370264482114011 C2(277,409) = 1.923548913664719603 C3(277,409) = 5.755393025019129239 C4(277,409) = 3272 Sum = 4292.734885408601722 Averaged sum = 0.4288874898000401361 logp*logq = 33.82123931480883908 -------------- ************************************* p = 277; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 558955932780818.9069 -------------- Searches starting with [277,419]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(277,419) = 0.6328605012108823189 D2(277,419) = 0.01681977228387628559 C1(277,419) = 0.8876069639871508349 C2(277,419) = 1.912078205029642860 C3(277,419) = 4.631766338559780596 C4(277,419) = 3352 Sum = 4159.868312322665525 Averaged sum = 0.4156127797305090943 logp*logq = 33.95709175374155244 -------------- ************************************* p = 277; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 574127630369824.2865 -------------- Searches starting with [277,421]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(277,421) = 0.6295509243538079113 D2(277,421) = 0.04539640048474956685 C1(277,421) = 0.8651398222993740531 C2(277,421) = 1.941417661107225666 C3(277,421) = 4.455487581186035973 C4(277,421) = 3368 Sum = 4181.481086396428965 Averaged sum = 0.4177721137372793451 logp*logq = 33.98387284009211731 -------------- ************************************* p = 277; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 655158359891144.4089 -------------- Searches starting with [277,431]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(277,431) = 0.6044665249214381073 D2(277,431) = 0.1188271488371861609 C1(277,431) = 0.8331850532641304409 C2(277,431) = 1.767558715372336052 C3(277,431) = 4.216262770153355963 C4(277,431) = 3448 Sum = 4353.231279219813696 Averaged sum = 0.4349316894015200016 logp*logq = 34.11589809316811850 -------------- ************************************* p = 277; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 672440843014715.8028 -------------- Searches starting with [277,433]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(277,433) = 0.6303176792741523623 D2(277,433) = 0.1162068208274354810 C1(277,433) = 0.8883069688417627588 C2(277,433) = 1.765753897487224581 C3(277,433) = 4.637369255844427616 C4(277,433) = 3464 Sum = 4098.637180159227480 Averaged sum = 0.4094951723607980298 logp*logq = 34.14193525775795221 -------------- ************************************* p = 277; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 726552031310290.2807 -------------- Searches starting with [277,439]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(277,439) = 0.5862122445187564033 D2(277,439) = 0.06893587887993049042 C1(277,439) = 0.8278635768305724057 C2(277,439) = 2.011048304984771656 C3(277,439) = 4.177690994172340216 C4(277,439) = 3512 Sum = 4278.794829116367419 Averaged sum = 0.4274947376477537634 logp*logq = 34.21933121552134996 -------------- ************************************* p = 277; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 764576393123006.2815 -------------- Searches starting with [277,443]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(277,443) = 1.057941628757258913 D2(277,443) = 0.06902441154657618575 C1(277,443) = 1.770280894098887375 C2(277,443) = 1.112567491996509945 C3(277,443) = 21.27126307045965579 C4(277,443) = 3544 Sum = 3562.554376936743011 Averaged sum = 0.3559350961071778411 logp*logq = 34.27034306190779746 -------------- ************************************* p = 277; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 824669347774776.6678 -------------- Searches starting with [277,449]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(277,449) = 0.7320240730714752871 D2(277,449) = 0.09812302130646232788 C1(277,449) = 0.9762675881733223389 C2(277,449) = 1.783835094211372227 C3(277,449) = 5.398166149831806403 C4(277,449) = 3592 Sum = 3905.883034420334380 Averaged sum = 0.3902370900609785573 logp*logq = 34.34600363134919147 -------------- ************************************* p = 277; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 910783751587426.8704 -------------- Searches starting with [277,457]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(277,457) = 0.6167851180967613445 D2(277,457) = 0.03834722107037392724 C1(277,457) = 0.8269330949643717099 C2(277,457) = 2.032101794665368914 C3(277,457) = 4.170982897782904759 C4(277,457) = 3656 Sum = 3874.044562189874472 Averaged sum = 0.3870561057238359948 logp*logq = 34.44532661024383722 -------------- ************************************* p = 277; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 956534493369647.5657 -------------- Searches starting with [277,461]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(277,461) = 0.9167085556230076719 D2(277,461) = 0.05507905454369261693 C1(277,461) = 1.553913500869091616 C2(277,461) = 1.160861556488661843 C3(277,461) = 14.63887280438978271 C4(277,461) = 3688 Sum = 3818.473699379040252 Averaged sum = 0.3815040163232131334 logp*logq = 34.49433796622831356 -------------- ************************************* p = 277; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 980108504538016.0073 -------------- Searches starting with [277,463]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(277,463) = 0.8562288224631141023 D2(277,463) = 0.06481572629973652471 C1(277,463) = 1.451320308852890548 C2(277,463) = 1.206927109202320035 C3(277,463) = 12.26190524789594216 C4(277,463) = 3704 Sum = 4184.906973307951819 Averaged sum = 0.4181143943758569107 logp*logq = 34.51868440038062184 -------------- ************************************* p = 277; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1028690823888561.686 -------------- Searches starting with [277,467]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(277,467) = 0.6610274654355133983 D2(277,467) = 0.07913843565413710206 C1(277,467) = 0.8879709313089604961 C2(277,467) = 1.805891674182880944 C3(277,467) = 4.634678728424085858 C4(277,467) = 3736 Sum = 3916.565370651299431 Averaged sum = 0.3913043631383054681 logp*logq = 34.56706334392130733 -------------- ************************************* p = 277; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1186462045636586.194 -------------- Searches starting with [277,479]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(277,479) = 0.5732379735371832905 D2(277,479) = 0.05756218307434598934 C1(277,479) = 0.8333216316140535421 C2(277,479) = 1.561771342245974135 C3(277,479) = 4.217257407413957623 C4(277,479) = 3832 Sum = 4187.075143777631424 Averaged sum = 0.4183310164629464905 logp*logq = 34.70975220278584269 -------------- ************************************* p = 277; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1302296658595918.297 -------------- Searches starting with [277,487]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(277,487) = 0.9657166867840353739 D2(277,487) = 0.04241519538771730780 C1(277,487) = 1.661258905857842651 C2(277,487) = 1.137506063805030004 C3(277,487) = 17.62064088311360030 C4(277,487) = 3896 Sum = 3962.344924055414599 Averaged sum = 0.3958782020237201118 logp*logq = 34.80290576112752378 -------------- ************************************* p = 277; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1363607628866746.151 -------------- Searches starting with [277,491]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(277,491) = 0.5970804544927700160 D2(277,491) = 0.05535397597031781048 C1(277,491) = 0.8441072643019588538 C2(277,491) = 1.830662180910858155 C3(277,491) = 4.296549677345420170 C4(277,491) = 3928 Sum = 4289.788076560066489 Averaged sum = 0.4285930738895060934 logp*logq = 34.84891025082811745 -------------- ************************************* p = 277; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1493360644982060.269 -------------- Searches starting with [277,499]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(277,499) = 0.9562124655085653576 D2(277,499) = 0.04746851790775546417 C1(277,499) = 1.318853619097427463 C2(277,499) = 1.825777864156694867 C3(277,499) = 9.754426870201401119 C4(277,499) = 3992 Sum = 4431.620336785656917 Averaged sum = 0.4427635464867276368 logp*logq = 34.93980544155271351 -------------- ************************************* p = 277; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1561944657960892.424 -------------- Searches starting with [277,503]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(277,503) = 0.8590188385180489392 D2(277,503) = 0.03998392404958464437 C1(277,503) = 1.204801218919337689 C2(277,503) = 1.670924306121261535 C3(277,503) = 8.010454074572762725 C4(277,503) = 4024 Sum = 4796.610286562904806 Averaged sum = 0.4792297219065745634 logp*logq = 34.98470801545780709 -------------- ************************************* p = 277; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1669660573838110.343 -------------- Searches starting with [277,509]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(277,509) = 0.7602237217308689897 D2(277,509) = 0.03156631579374252484 C1(277,509) = 1.113775912807389407 C2(277,509) = 1.511572698610922578 C3(277,509) = 6.845164788832391800 C4(277,509) = 4072 Sum = 3365.062221568845909 Averaged sum = 0.3362036388818908891 logp*logq = 35.05139675148269510 -------------- ************************************* p = 277; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1903456329265686.208 -------------- Searches starting with [277,521]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(277,521) = 0.6840696725460401919 D2(277,521) = 0.02789362108138033988 C1(277,521) = 1.197153848291168429 C2(277,521) = 1.860767044014148373 C3(277,521) = 7.905352684504300647 C4(277,521) = 4168 Sum = 4027.769335658096073 Averaged sum = 0.4024147602815562067 logp*logq = 35.18244774915310931 -------------- ************************************* p = 277; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1944917073436553.963 -------------- Searches starting with [277,523]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(277,523) = 0.5758767114443541538 D2(277,523) = 0.02609691350204018185 C1(277,523) = 0.7808573157158782241 C2(277,523) = 1.859698320685385439 C3(277,523) = 3.851939209911041721 C4(277,523) = 4184 Sum = 4320.986875989668584 Averaged sum = 0.4317101484653480451 logp*logq = 35.20399573530689692 -------------- ************************************* p = 277; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2352606360391192.428 -------------- Searches starting with [277,541]-exponents: u = 19, v = 8 n_start has 69 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(277,541) = 0.9420499988208607854 D2(277,541) = 0.009658391121280498664 C1(277,541) = 1.364623997642435528 C2(277,541) = 1.692018517370417596 C3(277,541) = 10.55678500197074613 C4(277,541) = 4328 Sum = 4261.881743484059034 Averaged sum = 0.4258049498935017518 logp*logq = 35.39430019800950729 -------------- ************************************* p = 277; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2503160258009871.273 -------------- Searches starting with [277,547]-exponents: u = 28, v = 8 n_start has 91 digits starting right neighbors generation We generated 417 left neighbors We generated 9593 right neighbors We generated 10009 non-negative rho_i D1(277,547) = 0.6484328874970144930 D2(277,547) = 0.004851163906676532948 C1(277,547) = 0.8753818212843718349 C2(277,547) = 1.593862953128254742 C3(277,547) = 4.534999198739591376 C4(277,547) = 4376 Sum = 4095.134851372738182 Averaged sum = 0.4091452544083063424 logp*logq = 35.45633043168302348 -------------- ************************************* p = 277; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2771645531334149.499 -------------- Searches starting with [277,557]-exponents: u = 172, v = 8 n_start has 443 digits --- performed 5000 steps in the continued fraction search [277,557]-exponents: u = 93, v = 46 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,557) = 0.5571738177577628106 D2(277,557) = 0.1400943386543538360 C1(277,557) = 0.7441123305648097476 C2(277,557) = 1.453183992453334363 C3(277,557) = 3.615088811950219941 C4(277,557) = 4456 Sum = 4819.364028443359468 Averaged sum = 0.4819846013044663934 logp*logq = 35.55821759336259539 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,557) = 0.5571738177577628106 D2(277,557) = 0.1400943386543538360 C1(277,557) = 0.7441123305648097476 C2(277,557) = 1.453183992453334363 C3(277,557) = 3.615088811950219941 C4(277,557) = 4456 Sum = 4819.364028443359468 Averaged sum = 0.4819846013044663934 logp*logq = 35.55821759336259539 -------------- ************************************* p = 277; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2943793645962399.542 -------------- Searches starting with [277,563]-exponents: u = 9, v = 111 n_start has 328 digits starting right neighbors generation We generated 3073 left neighbors We generated 6937 right neighbors We generated 10009 non-negative rho_i D1(277,563) = 0.7330983396335972148 D2(277,563) = 0.01046043993868369169 C1(277,563) = 0.9953219356411577083 C2(277,563) = 1.283558371278578393 C3(277,563) = 5.578762812828366765 C4(277,563) = 4504 Sum = 4237.430862690194835 Averaged sum = 0.4233620604146463018 logp*logq = 35.61847550023725603 -------------- ************************************* p = 277; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3124637335379378.233 -------------- Searches starting with [277,569]-exponents: u = 9, v = 39 n_start has 130 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(277,569) = 0.9827355333250885705 D2(277,569) = 0.04058092896537428368 C1(277,569) = 1.325696271717698086 C2(277,569) = 1.530172948704865643 C3(277,569) = 9.870384386301910468 C4(277,569) = 4552 Sum = 4264.294342257701908 Averaged sum = 0.4260459928322211917 logp*logq = 35.67809461868581796 -------------- ************************************* p = 277; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3186909501142685.464 -------------- Searches starting with [277,571]-exponents: u = 9, v = 31 n_start has 108 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(277,571) = 0.6411907099470415477 D2(277,571) = 0.05234780228151991846 C1(277,571) = 0.8946245669492983883 C2(277,571) = 1.595734844782060879 C3(277,571) = 4.688243626132142779 C4(277,571) = 4568 Sum = 4177.917950601634526 Averaged sum = 0.4174161205516669523 logp*logq = 35.69782803369001607 -------------- ************************************* p = 277; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3379878673743967.630 -------------- Searches starting with [277,577]-exponents: u = 9, v = 15 n_start has 64 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(277,577) = 1.028450185420406178 D2(277,577) = 0.09504066626559410534 C1(277,577) = 1.573609309182890961 C2(277,577) = 1.817689694980750589 C3(277,577) = 15.14538830889387565 C4(277,577) = 4616 Sum = 4186.007009770362067 Averaged sum = 0.4182242991078391514 logp*logq = 35.75661620841933806 -------------- ************************************* p = 277; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3722795237990477.764 -------------- Searches starting with [277,587]-exponents: u = 17, v = 7 n_start has 61 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(277,587) = 0.8906528904637945806 D2(277,587) = 0.1061657008804981696 C1(277,587) = 1.433569558964567576 C2(277,587) = 1.209653865564795249 C3(277,587) = 11.89170330475752044 C4(277,587) = 4696 Sum = 3309.490659970706438 Averaged sum = 0.3306514796653718092 logp*logq = 35.85325118909199792 -------------- ************************************* p = 277; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3941923040026183.367 -------------- Searches starting with [277,593]-exponents: u = 17, v = 7 n_start has 61 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(277,593) = 0.8107256857221229424 D2(277,593) = 0.1077708168863798101 C1(277,593) = 1.089793390702580876 C2(277,593) = 1.851497729170793895 C3(277,593) = 6.567436721973765473 C4(277,593) = 4744 Sum = 4182.681669209244027 Averaged sum = 0.4178920640632674620 logp*logq = 35.91044508037254954 -------------- ************************************* p = 277; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4171546329679738.054 -------------- Searches starting with [277,599]-exponents: u = 25, v = 7 n_start has 81 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(277,599) = 0.5778747195950594811 D2(277,599) = 0.06589335135540472119 C1(277,599) = 0.8236711767886539384 C2(277,599) = 1.811524855025077853 C3(277,599) = 4.147551795326223595 C4(277,599) = 4792 Sum = 4040.186741273283052 Averaged sum = 0.4036553842814749777 logp*logq = 35.96706318444890246 -------------- ************************************* p = 277; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4250486861051837.612 -------------- Searches starting with [277,601]-exponents: u = 25, v = 7 n_start has 81 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(277,601) = 0.8889707353059591582 D2(277,601) = 0.05306721594519614606 C1(277,601) = 1.181573469542790241 C2(277,601) = 1.799329282414394596 C3(277,601) = 7.695471585487480124 C4(277,601) = 4808 Sum = 3890.723236720794325 Averaged sum = 0.3887224734459780523 logp*logq = 35.98580992682763458 -------------- ************************************* p = 277; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4494712540411785.518 -------------- Searches starting with [277,607]-exponents: u = 41, v = 7 n_start has 120 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(277,607) = 0.8165754381435847156 D2(277,607) = 0.01728137729886674552 C1(277,607) = 1.178944910937767358 C2(277,607) = 1.765422429952832243 C3(277,607) = 7.660616072591381855 C4(277,607) = 4856 Sum = 4654.284122667245650 Averaged sum = 0.4650099033537062293 logp*logq = 36.04167810982419868 -------------- ************************************* p = 277; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4750359815900685.396 -------------- Searches starting with [277,613]-exponents: u = 97, v = 7 n_start has 257 digits starting right neighbors generation We generated 4676 left neighbors We generated 5334 right neighbors We generated 10009 non-negative rho_i D1(277,613) = 0.5601926963513903862 D2(277,613) = 0.01020810178746928361 C1(277,613) = 0.8688465277652255509 C2(277,613) = 1.658315350800548440 C3(277,613) = 4.484101552072556719 C4(277,613) = 4904 Sum = 4220.885407977076736 Averaged sum = 0.4217090026952819199 logp*logq = 36.09699676080422827 -------------- ************************************* p = 277; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4927340895807322.716 -------------- Searches starting with [277,617]-exponents: u = 353, v = 7 n_start has 882 digits --- performed 5000 steps in the continued fraction search [277,617]-exponents: u = 220, v = 109 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,617) = 0.6658746595965918747 D2(277,617) = 0.3320814646396398834 C1(277,617) = 0.8619034002569124637 C2(277,617) = 1.459863121764656460 C3(277,617) = 4.430653323003227647 C4(277,617) = 4936 Sum = 5272.268205155803571 Averaged sum = 0.5272795484704273998 logp*logq = 36.13357586540465888 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,617) = 0.6658746595965918747 D2(277,617) = 0.3320814646396398834 C1(277,617) = 0.8619034002569124637 C2(277,617) = 1.459863121764656460 C3(277,617) = 4.430653323003227647 C4(277,617) = 4936 Sum = 5272.268205155803571 Averaged sum = 0.5272795484704273998 logp*logq = 36.13357586540465888 -------------- ************************************* p = 277; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5017843151505401.782 -------------- Searches starting with [277,619]-exponents: u = 8, v = 1217 n_start has 3418 digits --- performed 5000 steps in the continued fraction search [277,619]-exponents: u = 932, v = 405 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,619) = 0.6093183060840297901 D2(277,619) = 0.5268193048210849261 C1(277,619) = 0.7547111264898126090 C2(277,619) = 1.475366790596117376 C3(277,619) = 3.681870952060595141 C4(277,619) = 4952 Sum = 5997.562543262795600 Averaged sum = 0.5998162359498745475 logp*logq = 36.15177658519330370 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,619) = 0.6093183060840297901 D2(277,619) = 0.5268193048210849261 C1(277,619) = 0.7547111264898126090 C2(277,619) = 1.475366790596117376 C3(277,619) = 3.681870952060595141 C4(277,619) = 4952 Sum = 5997.562543262795600 Averaged sum = 0.5998162359498745475 logp*logq = 36.15177658519330370 -------------- ************************************* p = 277; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5590029943464962.811 -------------- Searches starting with [277,631]-exponents: u = 8, v = 34 n_start has 115 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(277,631) = 0.8123273183548379675 D2(277,631) = 0.003219591409183401780 C1(277,631) = 1.176709936398212948 C2(277,631) = 1.545604835499489396 C3(277,631) = 7.631103820508411927 C4(277,631) = 5048 Sum = 4592.226880448196364 Averaged sum = 0.4588097592614843005 logp*logq = 36.25976103867604105 -------------- ************************************* p = 277; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6106870286099752.251 -------------- Searches starting with [277,641]-exponents: u = 8, v = 20 n_start has 76 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(277,641) = 0.5966515423396226102 D2(277,641) = 0.04291105482847065350 C1(277,641) = 0.8338765483732477527 C2(277,641) = 1.722158973344440447 C3(277,641) = 4.221301024721305568 C4(277,641) = 5128 Sum = 4257.072926749048647 Averaged sum = 0.4253245006243429560 logp*logq = 36.34819080872629540 -------------- ************************************* p = 277; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6214807380122124.210 -------------- Searches starting with [277,643]-exponents: u = 8, v = 20 n_start has 76 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(277,643) = 0.7379128651901149964 D2(277,643) = 0.05125172546428299695 C1(277,643) = 0.9752049062327507349 C2(277,643) = 1.731035802990603842 C3(277,643) = 5.388267976594721089 C4(277,643) = 5144 Sum = 3801.070194425794421 Averaged sum = 0.3797652307349180159 logp*logq = 36.36571112665327179 -------------- ************************************* p = 277; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6435390168587320.303 -------------- Searches starting with [277,647]-exponents: u = 8, v = 13 n_start has 57 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(277,647) = 0.5939931706598921994 D2(277,647) = 0.07315464609014538656 C1(277,647) = 0.8435449849914941626 C2(277,647) = 1.868811684643314240 C3(277,647) = 4.292379398810206243 C4(277,647) = 5176 Sum = 3848.634022792529879 Averaged sum = 0.3845173366762443680 logp*logq = 36.40058886637981596 -------------- ************************************* p = 277; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6778303489430105.289 -------------- Searches starting with [277,653]-exponents: u = 8, v = 13 n_start has 57 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(277,653) = 0.6550021010797485240 D2(277,653) = 0.1024276721043246759 C1(277,653) = 0.9230980809128603396 C2(277,653) = 1.899665950046904440 C3(277,653) = 4.924550960640237723 C4(277,653) = 5224 Sum = 4348.865423315204069 Averaged sum = 0.4344954963847741102 logp*logq = 36.45250324275412234 -------------- ************************************* p = 277; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7136099873841868.395 -------------- Searches starting with [277,659]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(277,659) = 0.8897692900358289070 D2(277,659) = 0.08427345954860331406 C1(277,659) = 1.457215466055983843 C2(277,659) = 1.214225664527264171 C3(277,659) = 12.38738394950164960 C4(277,659) = 5272 Sum = 3577.561314634011736 Averaged sum = 0.3574344404669808908 logp*logq = 36.50394278586425801 -------------- ************************************* p = 277; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7258759026858824.439 -------------- Searches starting with [277,661]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(277,661) = 0.8501581256965339981 D2(277,661) = 0.1078027738354452381 C1(277,661) = 1.161329635454413048 C2(277,661) = 1.441938011072340877 C3(277,661) = 7.431071135846250361 C4(277,661) = 5288 Sum = 4582.881833151665200 Averaged sum = 0.4578760948298196823 logp*logq = 36.52098527619713422 -------------- ************************************* p = 277; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8031676894363919.390 -------------- Searches starting with [277,673]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(277,673) = 1.090048248829245620 D2(277,673) = 0.04626242774086080703 C1(277,673) = 1.699095035628609523 C2(277,673) = 1.869448178989019748 C3(277,673) = 18.81050967707861163 C4(277,673) = 5384 Sum = 4088.053069407731154 Averaged sum = 0.4084377129990739488 logp*logq = 36.62216972975559054 -------------- ************************************* p = 277; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8303863957502249.325 -------------- Searches starting with [277,677]-exponents: u = 22, v = 6 n_start has 71 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(277,677) = 0.6664297682031678057 D2(277,677) = 0.02699660437455063305 C1(277,677) = 0.9052031734299806611 C2(277,677) = 1.851336877463000621 C3(277,677) = 4.774683847491909247 C4(277,677) = 5416 Sum = 4110.097519029378126 Averaged sum = 0.4106401757447675219 logp*logq = 36.65549733843294892 -------------- ************************************* p = 277; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8726330500504356.691 -------------- Searches starting with [277,683]-exponents: u = 29, v = 6 n_start has 88 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(277,683) = 0.7103703205816524107 D2(277,683) = 0.09440351085321156521 C1(277,683) = 0.9804052567174267334 C2(277,683) = 1.810259438767849111 C3(277,683) = 5.436879304615251266 C4(277,683) = 5464 Sum = 4188.135460080214852 Averaged sum = 0.4184369527505459938 logp*logq = 36.70512134426779872 -------------- ************************************* p = 277; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9316960341258376.563 -------------- Searches starting with [277,691]-exponents: u = 43, v = 6 n_start has 123 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(277,691) = 0.6443597448757960585 D2(277,691) = 0.02366559409990108118 C1(277,691) = 0.8898787001345825786 C2(277,691) = 1.741711012295630396 C3(277,691) = 4.649974275292098284 C4(277,691) = 5528 Sum = 4343.064778765873853 Averaged sum = 0.4339159535184208066 logp*logq = 36.77061282676997568 -------------- ************************************* p = 277; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10101083256375107.29 -------------- Searches starting with [277,701]-exponents: u = 120, v = 6 n_start has 311 digits --- performed 5000 steps in the continued fraction search [277,701]-exponents: u = 33, v = 23 --- starting right neighbors generation We generated 6283 left neighbors We generated 3727 right neighbors We generated 10009 non-negative rho_i D1(277,701) = 0.5569724103425905622 D2(277,701) = 0.01090260926968239492 C1(277,701) = 0.7578953933855743104 C2(277,701) = 1.553808688216470446 C3(277,701) = 3.702174723621984697 C4(277,701) = 5608 Sum = 4441.682896218125875 Averaged sum = 0.4437688976139600235 logp*logq = 36.85141906611314209 -------------- ************************************* p = 277; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10766742602404210.29 -------------- Searches starting with [277,709]-exponents: u = 7, v = 371 n_start has 1075 digits --- performed 5000 steps in the continued fraction search [277,709]-exponents: u = 333, v = 80 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,709) = 0.6009598126188405984 D2(277,709) = 0.3396546939730426099 C1(277,709) = 0.7719252030118179800 C2(277,709) = 1.453523472386535012 C3(277,709) = 3.792974502647880004 C4(277,709) = 5672 Sum = 5370.069368462363528 Averaged sum = 0.5370606429105274055 logp*logq = 36.91523838930119537 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,709) = 0.6009598126188405984 D2(277,709) = 0.3396546939730426099 C1(277,709) = 0.7719252030118179800 C2(277,709) = 1.453523472386535012 C3(277,709) = 3.792974502647880004 C4(277,709) = 5672 Sum = 5370.069368462363528 Averaged sum = 0.5370606429105274055 logp*logq = 36.91523838930119537 -------------- ************************************* p = 277; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11649124584019285.34 -------------- Searches starting with [277,719]-exponents: u = 7, v = 53 n_start has 169 digits starting right neighbors generation We generated 1813 left neighbors We generated 8197 right neighbors We generated 10009 non-negative rho_i D1(277,719) = 0.5518788476933818544 D2(277,719) = 0.01432360299146719325 C1(277,719) = 0.7473841970841410059 C2(277,719) = 1.684215926370488438 C3(277,719) = 3.635574291042807642 C4(277,719) = 5752 Sum = 4328.344586961661241 Averaged sum = 0.4324452579639985254 logp*logq = 36.99400742909638152 -------------- ************************************* p = 277; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12397086207340502.63 -------------- Searches starting with [277,727]-exponents: u = 7, v = 29 n_start has 101 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(277,727) = 0.6565637878818730044 D2(277,727) = 0.02470514293552392034 C1(277,727) = 0.9619075428210453153 C2(277,727) = 1.780973441097114463 C3(277,727) = 5.265935598329597136 C4(277,727) = 5816 Sum = 3988.793832136054947 Averaged sum = 0.3985207145704920519 logp*logq = 37.05623785662978822 -------------- ************************************* p = 277; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12983593518301785.23 -------------- Searches starting with [277,733]-exponents: u = 7, v = 23 n_start has 83 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(277,733) = 0.7363889802496370018 D2(277,733) = 0.06591555408870342174 C1(277,733) = 1.045761159555105274 C2(277,733) = 1.823512777979219605 C3(277,733) = 6.086528626069570223 C4(277,733) = 5864 Sum = 4315.953262133991461 Averaged sum = 0.4312072396976712420 logp*logq = 37.10246291827908460 -------------- ************************************* p = 277; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13592725311784784.94 -------------- Searches starting with [277,739]-exponents: u = 7, v = 17 n_start has 66 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(277,739) = 0.5513105886937609078 D2(277,739) = 0.1122459301050306301 C1(277,739) = 0.7576191543822141893 C2(277,739) = 1.871161057372506315 C3(277,739) = 3.700408920459576063 C4(277,739) = 5912 Sum = 4236.146835153944196 Averaged sum = 0.4232337731195867914 logp*logq = 37.14831114099551750 -------------- ************************************* p = 277; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14011716726885471.52 -------------- Searches starting with [277,743]-exponents: u = 7, v = 17 n_start has 66 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(277,743) = 1.280802878635512078 D2(277,743) = 0.001023310724817890702 C1(277,743) = 1.806883149153347910 C2(277,743) = 1.761568345680696246 C3(277,743) = 22.65930984434984640 C4(277,743) = 5944 Sum = 4910.610379522637213 Averaged sum = 0.4906194804198858240 logp*logq = 37.17867028357607425 -------------- ************************************* p = 277; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14881590411379367.74 -------------- Searches starting with [277,751]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(277,751) = 0.6035243888839448031 D2(277,751) = 0.02507679708320014002 C1(277,751) = 0.8464657378382240545 C2(277,751) = 1.914613461353738728 C3(277,751) = 4.314086043315323204 C4(277,751) = 6008 Sum = 3863.031843577063178 Averaged sum = 0.3859558241160019161 logp*logq = 37.23890130108927778 -------------- ************************************* p = 277; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15562724460671254.20 -------------- Searches starting with [277,757]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(277,757) = 0.6710701396730357674 D2(277,757) = 0.04383613349062844577 C1(277,757) = 1.002534939740916384 C2(277,757) = 1.934774140981217854 C3(277,757) = 5.648693194997841446 C4(277,757) = 6056 Sum = 3618.592257369115468 Averaged sum = 0.3615338452761630000 logp*logq = 37.28365499220726156 -------------- ************************************* p = 277; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16030894342117380.48 -------------- Searches starting with [277,761]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(277,761) = 0.7479072251755072991 D2(277,761) = 0.05676410994259346468 C1(277,761) = 1.005351582180336763 C2(277,761) = 1.948630065709890432 C3(277,761) = 5.676238045072233400 C4(277,761) = 6088 Sum = 4108.075039239213672 Averaged sum = 0.4104381096252586344 logp*logq = 37.31329415174860613 -------------- ************************************* p = 277; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17002009582351711.76 -------------- Searches starting with [277,769]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(277,769) = 0.9583356074556822292 D2(277,769) = 0.05513214097405403601 C1(277,769) = 1.603663427363575548 C2(277,769) = 1.182644278760085746 C3(277,769) = 15.95226676693568318 C4(277,769) = 6152 Sum = 3485.710406290551215 Averaged sum = 0.3482576087811520846 logp*logq = 37.37210794270713525 -------------- ************************************* p = 277; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17505399835732579.26 -------------- Searches starting with [277,773]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(277,773) = 0.8729005284298107322 D2(277,773) = 0.06561519618921018560 C1(277,773) = 1.169217364054522064 C2(277,773) = 1.334602764568223863 C3(277,773) = 7.532993336098067146 C4(277,773) = 6184 Sum = 4179.172453357281846 Averaged sum = 0.4175414580235070283 logp*logq = 37.40128579028653898 -------------- ************************************* p = 277; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19364781108475648.28 -------------- Searches starting with [277,787]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(277,787) = 0.6570609594218573640 D2(277,787) = 0.02346360620654880093 C1(277,787) = 0.9138668486656829445 C2(277,787) = 1.948140298511116341 C3(277,787) = 4.846662529218172183 C4(277,787) = 6296 Sum = 4127.169208790408066 Averaged sum = 0.4123458096503554867 logp*logq = 37.50223240435240842 -------------- ************************************* p = 277; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20789899647518243.72 -------------- Searches starting with [277,797]-exponents: u = 19, v = 5 n_start has 61 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(277,797) = 0.8088627553731616817 D2(277,797) = 0.1293380990238434236 C1(277,797) = 1.078743746389175690 C2(277,797) = 1.381894796630904173 C3(277,797) = 6.443296967185141625 C4(277,797) = 6376 Sum = 4051.568174433260245 Averaged sum = 0.4047925041895554246 logp*logq = 37.57324366980975758 -------------- ************************************* p = 277; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22612750588932016.41 -------------- Searches starting with [277,809]-exponents: u = 25, v = 5 n_start has 76 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(277,809) = 0.9045388704434333848 D2(277,809) = 0.06807900254793024450 C1(277,809) = 1.389857523536269897 C2(277,809) = 1.876604679686718376 C3(277,809) = 11.02701584891002167 C4(277,809) = 6472 Sum = 2661.717631508125132 Averaged sum = 0.2659324239692401971 logp*logq = 37.65729032744718021 -------------- ************************************* p = 277; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22928952253638805.48 -------------- Searches starting with [277,811]-exponents: u = 25, v = 5 n_start has 76 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(277,811) = 2.138606456279531553 D2(277,811) = 0.05493642440063353905 C1(277,811) = 2.930612575140620641 C2(277,811) = 1.863942213410094596 C3(277,811) = 157.7960708752225515 C4(277,811) = 6488 Sum = 6414.789613117758953 Averaged sum = 0.6409021493773362926 logp*logq = 37.67117679748048110 -------------- ************************************* p = 277; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24565009401121945.45 -------------- Searches starting with [277,821]-exponents: u = 31, v = 5 n_start has 91 digits starting right neighbors generation We generated 367 left neighbors We generated 9643 right neighbors We generated 10009 non-negative rho_i D1(277,821) = 0.8574898705516533613 D2(277,821) = 0.07911943892978263442 C1(277,821) = 1.175697282891600095 C2(277,821) = 1.807224646314430103 C3(277,821) = 7.617769450802706506 C4(277,821) = 6568 Sum = 4430.569006630374397 Averaged sum = 0.4426585080058321907 logp*logq = 37.74009944323514973 -------------- ************************************* p = 277; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24903461153665527.19 -------------- Searches starting with [277,823]-exponents: u = 37, v = 5 n_start has 105 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(277,823) = 0.8124305955022260953 D2(277,823) = 0.06054831166267948626 C1(277,823) = 1.201003601402808591 C2(277,823) = 1.789111425941758511 C3(277,823) = 7.958088133534641175 C4(277,823) = 6584 Sum = 2991.250159092546322 Averaged sum = 0.2988560454683331324 logp*logq = 37.75378319087668482 -------------- ************************************* p = 277; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25591872306547855.17 -------------- Searches starting with [277,827]-exponents: u = 43, v = 5 n_start has 120 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(277,827) = 0.8741462244142636914 D2(277,827) = 0.02627918579597554731 C1(277,827) = 1.275531667220639833 C2(277,827) = 1.755754756348311658 C3(277,827) = 9.051243980328964822 C4(277,827) = 6616 Sum = 3230.447211955871495 Averaged sum = 0.3227542423774474468 logp*logq = 37.78105120796073449 -------------- ************************************* p = 277; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25941899503084570.83 -------------- Searches starting with [277,829]-exponents: u = 43, v = 5 n_start has 120 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(277,829) = 1.141543814522642629 D2(277,829) = 0.01034192201711521457 C1(277,829) = 1.539926292894286493 C2(277,829) = 1.740272052814271698 C3(277,829) = 14.28948505582606158 C4(277,829) = 6632 Sum = 4307.417433518494692 Averaged sum = 0.4303544243699165443 logp*logq = 37.79463579791389070 -------------- ************************************* p = 277; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27751627124836421.92 -------------- Searches starting with [277,839]-exponents: u = 79, v = 5 n_start has 208 digits starting right neighbors generation We generated 2555 left neighbors We generated 7455 right neighbors We generated 10009 non-negative rho_i D1(277,839) = 0.5811088049009129073 D2(277,839) = 0.00007783238905931071245 C1(277,839) = 0.8107949863744001877 C2(277,839) = 1.621226124212990477 C3(277,839) = 4.056337426382396930 C4(277,839) = 6712 Sum = 3945.972152293376861 Averaged sum = 0.3942423970719729104 logp*logq = 37.86207086851339721 -------------- ************************************* p = 277; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30458510474325805.24 -------------- Searches starting with [277,853]-exponents: u = 21961, v = 5 n_start has 53654 digits --- performed 5000 steps in the continued fraction search [277,853]-exponents: u = 13934, v = 6694 --- performed 10000 steps in the continued fraction search [277,853]-exponents: u = 5901, v = 13388 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,853) = 0.9029155259995784680 D2(277,853) = 0.6898069779975477517 C1(277,853) = 1.058895666509583186 C2(277,853) = 1.442787438240214623 C3(277,853) = 6.226172688301055457 C4(277,853) = 6824 Sum = 6897.813501800020485 Averaged sum = 0.6898503352135234008 logp*logq = 37.95514184014214424 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,853) = 0.9029155259995784680 D2(277,853) = 0.6898069779975477517 C1(277,853) = 1.058895666509583186 C2(277,853) = 1.442787438240214623 C3(277,853) = 6.226172688301055457 C4(277,853) = 6824 Sum = 6897.813501800020485 Averaged sum = 0.6898503352135234008 logp*logq = 37.95514184014214424 -------------- ************************************* p = 277; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31270547691430969.07 -------------- Searches starting with [277,857]-exponents: u = 6, v = 239 n_start has 716 digits --- performed 5000 steps in the continued fraction search [277,857]-exponents: u = 90, v = 151 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,857) = 0.5192508545403774598 D2(277,857) = 0.2209386028668916105 C1(277,857) = 0.6777056942249300996 C2(277,857) = 1.436348078060430630 C3(277,857) = 3.223375458450452519 C4(277,857) = 6856 Sum = 5084.094037538631008 Averaged sum = 0.5084602497788409849 logp*logq = 37.98145308114329544 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,857) = 0.5192508545403774598 D2(277,857) = 0.2209386028668916105 C1(277,857) = 0.6777056942249300996 C2(277,857) = 1.436348078060430630 C3(277,857) = 3.223375458450452519 C4(277,857) = 6856 Sum = 5084.094037538631008 Averaged sum = 0.5084602497788409849 logp*logq = 37.98145308114329544 -------------- ************************************* p = 277; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31683191069745115.83 -------------- Searches starting with [277,859]-exponents: u = 6, v = 159 n_start has 482 digits --- performed 5000 steps in the continued fraction search [277,859]-exponents: u = 22, v = 117 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,859) = 0.5584683000321148676 D2(277,859) = 0.07745336758456964313 C1(277,859) = 0.7421038323037491243 C2(277,859) = 1.429031170428816327 C3(277,859) = 3.602570626313924525 C4(277,859) = 6872 Sum = 4812.840013981276175 Averaged sum = 0.4813321346115887763 logp*logq = 37.99456268499581608 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(277,859) = 0.5584683000321148676 D2(277,859) = 0.07745336758456964313 C1(277,859) = 0.7421038323037491243 C2(277,859) = 1.429031170428816327 C3(277,859) = 3.602570626313924525 C4(277,859) = 6872 Sum = 4812.840013981276175 Averaged sum = 0.4813321346115887763 logp*logq = 37.99456268499581608 -------------- ************************************* p = 277; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32521915229079984.71 -------------- Searches starting with [277,863]-exponents: u = 6, v = 94 n_start has 291 digits starting right neighbors generation We generated 4881 left neighbors We generated 5129 right neighbors We generated 10009 non-negative rho_i D1(277,863) = 0.5782215054160620531 D2(277,863) = 0.007185839063409621729 C1(277,863) = 0.7871751543481840649 C2(277,863) = 1.540653092233140340 C3(277,863) = 3.894198618742089270 C4(277,863) = 6904 Sum = 4487.318889250528516 Averaged sum = 0.4483283933710189345 logp*logq = 38.02069057173926682 -------------- ************************************* p = 277; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35602560555629403.89 -------------- Searches starting with [277,877]-exponents: u = 6, v = 39 n_start has 130 digits starting right neighbors generation We generated 892 left neighbors We generated 9118 right neighbors We generated 10009 non-negative rho_i D1(277,877) = 0.8512680734859417411 D2(277,877) = 0.03808353889975179835 C1(277,877) = 1.145867654422728771 C2(277,877) = 1.736308765100235348 C3(277,877) = 7.235261153994848605 C4(277,877) = 7016 Sum = 4085.973405001895690 Averaged sum = 0.4082299335599855819 logp*logq = 38.11119395590206654 -------------- ************************************* p = 277; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36525491125127835.13 -------------- Searches starting with [277,881]-exponents: u = 6, v = 34 n_start has 115 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(277,881) = 0.6496486241261576470 D2(277,881) = 0.007922618816897760243 C1(277,881) = 0.9517865377302754706 C2(277,881) = 1.775840002861368794 C3(277,881) = 5.174689758070194593 C4(277,881) = 7048 Sum = 3467.479253324397924 Averaged sum = 0.3464361328129081751 logp*logq = 38.13678679873022636 -------------- ************************************* p = 277; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36994279162045229.56 -------------- Searches starting with [277,883]-exponents: u = 6, v = 29 n_start has 101 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(277,883) = 0.5686118946629750884 D2(277,883) = 0.02106718124851585880 C1(277,883) = 0.7625873250095554370 C2(277,883) = 1.789341131882075391 C3(277,883) = 3.732295997174629715 C4(277,883) = 7064 Sum = 4150.333268218987613 Averaged sum = 0.4146601327024665414 logp*logq = 38.14953967835841086 -------------- ************************************* p = 277; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37946702707319267.26 -------------- Searches starting with [277,887]-exponents: u = 6, v = 24 n_start has 86 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(277,887) = 0.9416145592366585115 D2(277,887) = 0.04872367600671732716 C1(277,887) = 1.399013351593883047 C2(277,887) = 1.817708305701789658 C3(277,887) = 11.20276683608688603 C4(277,887) = 7096 Sum = 4632.007955407402248 Averaged sum = 0.4627842896800281994 logp*logq = 38.17495900979496006 -------------- ************************************* p = 277; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43016508652538843.09 -------------- Searches starting with [277,907]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(277,907) = 0.6562592473761612520 D2(277,907) = 0.05398635965499098821 C1(277,907) = 1.017730200753517046 C2(277,907) = 1.921862060093666755 C3(277,907) = 5.798893620657464282 C4(277,907) = 7256 Sum = 4049.414599765418453 Averaged sum = 0.4045773403702086575 logp*logq = 38.30036035907706184 -------------- ************************************* p = 277; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44094372030104475.75 -------------- Searches starting with [277,911]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(277,911) = 0.5318314456256192629 D2(277,911) = 0.07357273648806547174 C1(277,911) = 0.7535228878885713888 C2(277,911) = 1.942180558963676935 C3(277,911) = 3.674322973623447431 C4(277,911) = 7288 Sum = 4203.329281832552849 Averaged sum = 0.4199549687114150114 logp*logq = 38.32510855085459127 -------------- ************************************* p = 277; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46316775021041728.50 -------------- Searches starting with [277,919]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(277,919) = 0.8068846902629352853 D2(277,919) = 0.1160329969938920925 C1(277,919) = 1.079807148905982263 C2(277,919) = 1.986095301356011254 C3(277,919) = 6.455141247200749872 C4(277,919) = 7352 Sum = 4194.234433478928871 Averaged sum = 0.4190463016763841413 logp*logq = 38.37428060185350611 -------------- ************************************* p = 277; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49223482261148000.03 -------------- Searches starting with [277,929]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(277,929) = 0.7146516431907861226 D2(277,929) = 0.1269512001249982901 C1(277,929) = 0.9850609011047512143 C2(277,929) = 1.918847786817114890 C3(277,929) = 5.480770823466597569 C4(277,929) = 7432 Sum = 4020.645126035090442 Averaged sum = 0.4017029799215796225 logp*logq = 38.43514718627690118 -------------- ************************************* p = 277; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51655370749526109.23 -------------- Searches starting with [277,937]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(277,937) = 0.8076786244895562655 D2(277,937) = 0.1030530926007726437 C1(277,937) = 1.132794937255227226 C2(277,937) = 1.896502498584285659 C3(277,937) = 7.073739520191335960 C4(277,937) = 7496 Sum = 4279.042224550061385 Averaged sum = 0.4275194549455551389 logp*logq = 38.48337056860432327 -------------- ************************************* p = 277; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52907848144892498.46 -------------- Searches starting with [277,941]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(277,941) = 0.9744107147547048972 D2(277,941) = 0.08568720867048355309 C1(277,941) = 1.479437456830195537 C2(277,941) = 1.760148057212002989 C3(277,941) = 12.87203253768891315 C4(277,941) = 7528 Sum = 3401.521631610510050 Averaged sum = 0.3398463014897102658 logp*logq = 38.50732808089747271 -------------- ************************************* p = 277; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54833300365805793.62 -------------- Searches starting with [277,947]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(277,947) = 0.6408672588368240795 D2(277,947) = 0.07067898792389460272 C1(277,947) = 0.9429913587869742606 C2(277,947) = 1.746254782317699136 C3(277,947) = 5.096681829201939370 C4(277,947) = 7576 Sum = 3867.596209331366172 Averaged sum = 0.3864118502678955112 logp*logq = 38.54307407521631613 -------------- ************************************* p = 277; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56815996178748499.48 -------------- Searches starting with [277,953]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(277,953) = 0.8889955001171679599 D2(277,953) = 0.005244126451118095172 C1(277,953) = 1.191143538300325256 C2(277,953) = 2.028202226609624637 C3(277,953) = 7.823718879884986659 C4(277,953) = 7624 Sum = 4052.649553415875570 Averaged sum = 0.4049005448512214577 logp*logq = 38.57859430385480602 -------------- ************************************* p = 277; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61672386399007000.56 -------------- Searches starting with [277,967]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(277,967) = 1.364073230082890600 D2(277,967) = 0.01729936537724278626 C1(277,967) = 2.346525469352527185 C2(277,967) = 1.085848447054958844 C3(277,967) = 57.54447073080474321 C4(277,967) = 7736 Sum = 2530.350133893213223 Averaged sum = 0.2528074866513351206 logp*logq = 38.66061267943599073 -------------- ************************************* p = 277; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63120908902594813.35 -------------- Searches starting with [277,971]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(277,971) = 0.7902346368350973933 D2(277,971) = 0.02151471453010803928 C1(277,971) = 1.055971658359598435 C2(277,971) = 2.084479024355849991 C3(277,971) = 6.194810410065627873 C4(277,971) = 7768 Sum = 4319.521333805866184 Averaged sum = 0.4315637260271621724 logp*logq = 38.68382847094214057 -------------- ************************************* p = 277; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65346054104509539.58 -------------- Searches starting with [277,977]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(277,977) = 0.8835797191572869462 D2(277,977) = 0.006876534862527694664 C1(277,977) = 1.241567557285731783 C2(277,977) = 2.071145257668482775 C3(277,977) = 8.535591147102338300 C4(277,977) = 7816 Sum = 3852.263443186812484 Averaged sum = 0.3848799523615558481 logp*logq = 38.71847345220167019 -------------- ************************************* p = 277; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67635292491568714.37 -------------- Searches starting with [277,983]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(277,983) = 0.7127142538227002249 D2(277,983) = 0.05245382046115182892 C1(277,983) = 0.9632698887561786326 C2(277,983) = 1.662298948454573614 C3(277,983) = 5.278340060180264967 C4(277,983) = 7864 Sum = 4091.527649562392875 Averaged sum = 0.4087848585835141248 logp*logq = 38.75290632000179836 -------------- ************************************* p = 277; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70789799562936552.17 -------------- Searches starting with [277,991]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(277,991) = 0.8176858193253229541 D2(277,991) = 0.06972974860749401378 C1(277,991) = 1.129992520970524766 C2(277,991) = 1.762486120815510146 C3(277,991) = 7.039586026470962702 C4(277,991) = 7928 Sum = 4543.143640492631027 Averaged sum = 0.4539058487853562820 logp*logq = 38.79849131126088527 -------------- ************************************* p = 277; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73234220962797808.41 -------------- Searches starting with [277,997]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(277,997) = 0.9777910537658137242 D2(277,997) = 0.08712932987880552801 C1(277,997) = 1.328121292070536587 C2(277,997) = 1.907570593628312458 C3(277,997) = 9.911809449803892412 C4(277,997) = 7976 Sum = 4416.400558680410405 Averaged sum = 0.4412429372245389555 logp*logq = 38.83243920612588337 -------------- ************************************* p = 281; q = 283; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66687048581298.96039 -------------- Searches starting with [281,283]-exponents: u = 1, v = 795 n_start has 1952 digits --- performed 5000 steps in the continued fraction search [281,283]-exponents: u = 245, v = 545 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(281,283) = 1.226521067230666974 D2(281,283) = 0.2991162006406708966 C1(281,283) = 1.544112188212217484 C2(281,283) = 1.219265180934650468 C3(281,283) = 14.44985742093125427 C4(281,283) = 2264 Sum = 5883.350065680147742 Averaged sum = 0.5883938459526100351 logp*logq = 31.83103187580245795 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(281,283) = 1.226521067230666974 D2(281,283) = 0.2991162006406708966 C1(281,283) = 1.544112188212217484 C2(281,283) = 1.219265180934650468 C3(281,283) = 14.44985742093125427 C4(281,283) = 2264 Sum = 5883.350065680147742 Averaged sum = 0.5883938459526100351 logp*logq = 31.83103187580245795 -------------- ************************************* p = 281; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81110030713298.87966 -------------- Searches starting with [281,293]-exponents: u = 1, v = 134 n_start has 334 digits starting right neighbors generation We generated 2175 left neighbors We generated 7835 right neighbors We generated 10009 non-negative rho_i D1(281,293) = 0.7450425760357636746 D2(281,293) = 0.009707454291976809169 C1(281,293) = 1.007348789459709808 C2(281,293) = 1.200543699961912255 C3(281,293) = 5.710477853539040754 C4(281,293) = 2344 Sum = 5021.346509953372738 Averaged sum = 0.5016831361727817701 logp*logq = 32.02682775267302650 -------------- ************************************* p = 281; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105528137365523.0213 -------------- Searches starting with [281,307]-exponents: u = 1, v = 63 n_start has 160 digits starting right neighbors generation We generated 548 left neighbors We generated 9462 right neighbors We generated 10009 non-negative rho_i D1(281,307) = 0.6213081870634802856 D2(281,307) = 0.003625184393747965624 C1(281,307) = 0.8787375498263415106 C2(281,307) = 1.356413742523693238 C3(281,307) = 4.571574603909356798 C4(281,307) = 2456 Sum = 4655.341019026327656 Averaged sum = 0.4651154979544737392 logp*logq = 32.28999873817171774 -------------- ************************************* p = 281; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113518639881230.6798 -------------- Searches starting with [281,311]-exponents: u = 1, v = 55 n_start has 140 digits starting right neighbors generation We generated 427 left neighbors We generated 9583 right neighbors We generated 10009 non-negative rho_i D1(281,311) = 0.6291229516290546343 D2(281,311) = 0.009077068244674659830 C1(281,311) = 0.8592991965329618722 C2(281,311) = 1.395652156061521261 C3(281,311) = 4.420431305257943297 C4(281,311) = 2488 Sum = 4590.207042097739809 Averaged sum = 0.4586079570484303936 logp*logq = 32.36298816739452332 -------------- ************************************* p = 281; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117696640904971.7995 -------------- Searches starting with [281,313]-exponents: u = 1, v = 52 n_start has 133 digits starting right neighbors generation We generated 403 left neighbors We generated 9607 right neighbors We generated 10009 non-negative rho_i D1(281,313) = 0.6112012965840297565 D2(281,313) = 0.005720348919745477896 C1(281,313) = 0.8774678624327771012 C2(281,313) = 1.408874581712188994 C3(281,313) = 4.561546251562078078 C4(281,313) = 2504 Sum = 3933.277067041704951 Averaged sum = 0.3929740300771011041 logp*logq = 32.39913159032254050 -------------- ************************************* p = 281; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126432629230597.4146 -------------- Searches starting with [281,317]-exponents: u = 1, v = 46 n_start has 118 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(281,317) = 0.6400861096509856630 D2(281,317) = 0.04578491786213287933 C1(281,317) = 0.9260666107844814962 C2(281,317) = 1.473946108489516572 C3(281,317) = 4.961547445838883709 C4(281,317) = 2536 Sum = 4446.647187862898994 Averaged sum = 0.4442648803939353576 logp*logq = 32.47073070697535646 -------------- ************************************* p = 281; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161318410667165.8866 -------------- Searches starting with [281,331]-exponents: u = 1, v = 34 n_start has 89 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(281,331) = 0.6276981704285730811 D2(281,331) = 0.05448020794503940251 C1(281,331) = 0.8823881664267210017 C2(281,331) = 1.572438740645229911 C3(281,331) = 4.600531205080159579 C4(281,331) = 2648 Sum = 4279.565643107772352 Averaged sum = 0.4275717497360148219 logp*logq = 32.71440123383438968 -------------- ************************************* p = 281; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 178514646367634.8723 -------------- Searches starting with [281,337]-exponents: u = 1, v = 31 n_start has 81 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(281,337) = 1.028086985037843482 D2(281,337) = 0.06093057932311911136 C1(281,337) = 1.541162698071409021 C2(281,337) = 1.611827795851557276 C3(281,337) = 14.37633040072522282 C4(281,337) = 2696 Sum = 2571.740489356048573 Averaged sum = 0.2569428004152311493 logp*logq = 32.81569176626186858 -------------- ************************************* p = 281; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 210512823295291.1637 -------------- Searches starting with [281,347]-exponents: u = 1, v = 26 n_start has 69 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(281,347) = 0.6030072272060828848 D2(281,347) = 0.05096337192763398406 C1(281,347) = 0.8244638504834898948 C2(281,347) = 1.654554969070958817 C3(281,347) = 4.161960867059366091 C4(281,347) = 2776 Sum = 4407.370365031037142 Averaged sum = 0.4403407298462420963 logp*logq = 32.98056768546295847 -------------- ************************************* p = 281; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 217446098299813.7683 -------------- Searches starting with [281,349]-exponents: u = 1, v = 26 n_start has 69 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(281,349) = 1.113526803775620311 D2(281,349) = 0.01635506610390882494 C1(281,349) = 1.697888738998777646 C2(281,349) = 1.634717924706598399 C3(281,349) = 18.85268389104394525 C4(281,349) = 2792 Sum = 2310.243924857026257 Averaged sum = 0.2308166574939580635 logp*logq = 33.01297211183496542 -------------- ************************************* p = 281; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 231876857793854.6913 -------------- Searches starting with [281,353]-exponents: u = 1, v = 24 n_start has 64 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(281,353) = 0.5506706428306447241 D2(281,353) = 0.03135053209910781099 C1(281,353) = 0.7699376500233413202 C2(281,353) = 1.666212048045650998 C3(281,353) = 3.787394172361858717 C4(281,353) = 2824 Sum = 4397.107143475488846 Averaged sum = 0.4393153305500538362 logp*logq = 33.07722756130712052 -------------- ************************************* p = 281; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 254993267895494.7689 -------------- Searches starting with [281,359]-exponents: u = 1, v = 23 n_start has 62 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(281,359) = 1.119773786713972688 D2(281,359) = 0.09300846088177617246 C1(281,359) = 1.729194102365289546 C2(281,359) = 1.746185197826046084 C3(281,359) = 19.90161333590828725 C4(281,359) = 2872 Sum = 2117.072884734207468 Averaged sum = 0.2115169232425024945 logp*logq = 33.17225826032865297 -------------- ************************************* p = 281; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 288733302739982.3775 -------------- Searches starting with [281,367]-exponents: u = 1, v = 21 n_start has 57 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(281,367) = 0.7160362626225415745 D2(281,367) = 0.05818658065470819939 C1(281,367) = 1.116726849054988336 C2(281,367) = 1.749774803529885497 C3(281,367) = 6.899729146548952093 C4(281,367) = 2936 Sum = 3966.250931911965538 Averaged sum = 0.3962684515847702605 logp*logq = 33.29652455008384437 -------------- ************************************* p = 281; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 316378162952984.4747 -------------- Searches starting with [281,373]-exponents: u = 1, v = 19 n_start has 52 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(281,373) = 0.7607593622639852322 D2(281,373) = 0.07138218337704233596 C1(281,373) = 1.192946531271743695 C2(281,373) = 1.785038887595315537 C3(281,373) = 7.871991909565811156 C4(281,373) = 2984 Sum = 4054.398361799692121 Averaged sum = 0.4050752684383746749 logp*logq = 33.38795933222465040 -------------- ************************************* p = 281; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 346164422021295.0230 -------------- Searches starting with [281,379]-exponents: u = 1, v = 18 n_start has 49 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(281,379) = 0.6462890746747292561 D2(281,379) = 0.06607646132719559191 C1(281,379) = 1.019425424502645569 C2(281,379) = 1.803418432003305417 C3(281,379) = 5.831010787434938452 C4(281,379) = 3032 Sum = 4219.795454051005686 Averaged sum = 0.4216001053103212795 logp*logq = 33.47793498626466769 -------------- ************************************* p = 281; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 367274578523587.8322 -------------- Searches starting with [281,383]-exponents: u = 1, v = 18 n_start has 49 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(281,383) = 0.7176515150836945776 D2(281,383) = 0.004269386717609611469 C1(281,383) = 0.9895961475175816200 C2(281,383) = 1.766361991935961748 C3(281,383) = 5.537803126415096882 C4(281,383) = 3064 Sum = 4496.821589278364516 Averaged sum = 0.4492778088998266076 logp*logq = 33.53713085460719129 -------------- ************************************* p = 281; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 400916959413453.3451 -------------- Searches starting with [281,389]-exponents: u = 1, v = 17 n_start has 47 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(281,389) = 0.9914578535126087926 D2(281,389) = 0.1333224100100787235 C1(281,389) = 1.419378980362393376 C2(281,389) = 1.897816234236399520 C3(281,389) = 11.64581574394796261 C4(281,389) = 3112 Sum = 5123.300416727869544 Averaged sum = 0.5118693592494624382 logp*logq = 33.62477543803334136 -------------- ************************************* p = 281; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 449678981289723.5332 -------------- Searches starting with [281,397]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(281,397) = 0.7013537100851478677 D2(281,397) = 0.1228245406565306552 C1(281,397) = 1.008359822917423628 C2(281,397) = 1.915830298938318316 C3(281,397) = 5.720472363320448372 C4(281,397) = 3176 Sum = 3837.785304165857540 Averaged sum = 0.3834334403202974863 logp*logq = 33.73955506920822799 -------------- ************************************* p = 281; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 475829351895348.2611 -------------- Searches starting with [281,401]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(281,401) = 0.8543060108933133770 D2(281,401) = 0.01528746081862587213 C1(281,401) = 1.164031178787104777 C2(281,401) = 1.837804277155279499 C3(281,401) = 7.487982192692259934 C4(281,401) = 3208 Sum = 4543.945602012464074 Averaged sum = 0.4539859728257032744 logp*logq = 33.79608040146035771 -------------- ************************************* p = 281; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 531890592070158.4590 -------------- Searches starting with [281,409]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(281,409) = 1.073042728160490525 D2(281,409) = 0.09600521896684959353 C1(281,409) = 1.742447965442240809 C2(281,409) = 1.084128283122129344 C3(281,409) = 20.36310286444619709 C4(281,409) = 3272 Sum = 1449.684660799683592 Averaged sum = 0.1448381117793669290 logp*logq = 33.90745893011704675 -------------- ************************************* p = 281; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 609498555076854.3349 -------------- Searches starting with [281,419]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(281,419) = 0.7547314288333567806 D2(281,419) = 0.1073061395649083854 C1(281,419) = 1.020449252146641237 C2(281,419) = 1.332220017170207570 C3(281,419) = 5.841345514725370490 C4(281,419) = 3352 Sum = 4381.850083945802103 Averaged sum = 0.4377909964977322512 logp*logq = 34.04365769417742424 -------------- ************************************* p = 281; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 626084869964570.1604 -------------- Searches starting with [281,421]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(281,421) = 0.8624109686173454014 D2(281,421) = 0.1035020194863157683 C1(281,421) = 1.413220317766836855 C2(281,421) = 1.205362800668084752 C3(281,421) = 11.52242315538720618 C4(281,421) = 3368 Sum = 3968.159417833915511 Averaged sum = 0.3964591285676806385 logp*logq = 34.07050705286245885 -------------- ************************************* p = 281; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 714689196937453.0267 -------------- Searches starting with [281,431]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(281,431) = 0.8930589557633150229 D2(281,431) = 0.09779367731655171749 C1(281,431) = 1.198934586478741783 C2(281,431) = 1.997575436104088235 C3(281,431) = 7.953944953576079997 C4(281,431) = 3448 Sum = 4326.236140572455694 Averaged sum = 0.4322346029146224092 logp*logq = 34.20286887451967692 -------------- ************************************* p = 281; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 733590740641817.0384 -------------- Searches starting with [281,433]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(281,433) = 0.9257396133692324665 D2(281,433) = 0.08101778144037448787 C1(281,433) = 1.532503876210774559 C2(281,433) = 1.155610495220682444 C3(281,433) = 14.16263134456297326 C4(281,433) = 3464 Sum = 3483.828437502280741 Averaged sum = 0.3480695811272135819 logp*logq = 34.22897241498337368 -------------- ************************************* p = 281; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 792779052381197.6512 -------------- Searches starting with [281,439]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(281,439) = 0.7198654914405399288 D2(281,439) = 0.1164734251279569289 C1(281,439) = 0.9683521648184890041 C2(281,439) = 1.767999696823850927 C3(281,439) = 5.338018120964554123 C4(281,439) = 3512 Sum = 4051.361446424908076 Averaged sum = 0.4047718499775110476 logp*logq = 34.30656567627082794 -------------- ************************************* p = 281; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 834377927266132.5221 -------------- Searches starting with [281,443]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(281,443) = 0.5796738900542031413 D2(281,443) = 0.03054329821842858609 C1(281,443) = 0.8181216402572498431 C2(281,443) = 1.974124726451815991 C3(281,443) = 4.116555983862723753 C4(281,443) = 3544 Sum = 4208.155131337345392 Averaged sum = 0.4204371197259811561 logp*logq = 34.35770756584494997 -------------- ************************************* p = 281; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 900130631498472.4182 -------------- Searches starting with [281,449]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(281,449) = 0.9868327809809251739 D2(281,449) = 0.06604476829801647740 C1(281,449) = 1.652322937410927170 C2(281,449) = 1.117139115464759530 C3(281,449) = 17.42393831205901501 C4(281,449) = 3592 Sum = 3177.424922942574425 Averaged sum = 0.3174567811911853756 logp*logq = 34.43356101482959539 -------------- ************************************* p = 281; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 994376670768752.8929 -------------- Searches starting with [281,457]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(281,457) = 0.7105279204536672415 D2(281,457) = 0.09628767736503645854 C1(281,457) = 1.007144781753617125 C2(281,457) = 1.784694705139249457 C3(281,457) = 5.708463265975859911 C4(281,457) = 3656 Sum = 4144.200933005365252 Averaged sum = 0.4140474505950010243 logp*logq = 34.53313719523917829 -------------- ************************************* p = 281; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1044456965071109.453 -------------- Searches starting with [281,461]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(281,461) = 0.6229466159447495465 D2(281,461) = 0.002545943280811555863 C1(281,461) = 0.8840099999460340068 C2(281,461) = 1.997728925522340202 C3(281,461) = 4.613454321592080820 C4(281,461) = 3688 Sum = 4203.684426555381451 Averaged sum = 0.4199904512494136728 logp*logq = 34.58227349461261155 -------------- ************************************* p = 281; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1070264270326564.277 -------------- Searches starting with [281,463]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(281,463) = 0.6476125046014219976 D2(281,463) = 0.02416957898036732991 C1(281,463) = 0.8990780715042327857 C2(281,463) = 2.020062121697579602 C3(281,463) = 4.735268864842702527 C4(281,463) = 3704 Sum = 4228.591872513957774 Averaged sum = 0.4224789561908240358 logp*logq = 34.60668199450317383 -------------- ************************************* p = 281; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1123454006745794.713 -------------- Searches starting with [281,467]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(281,467) = 0.9833534541899479822 D2(281,467) = 0.06247818452148822104 C1(281,467) = 1.337997916675993108 C2(281,467) = 1.308045966261271420 C3(281,467) = 10.11673406536961960 C4(281,467) = 3736 Sum = 4294.690004593123177 Averaged sum = 0.4290828259159879286 logp*logq = 34.65518426924004257 -------------- ************************************* p = 281; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1296230563744698.800 -------------- Searches starting with [281,479]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(281,479) = 1.148033550970700204 D2(281,479) = 0.07343966725206129637 C1(281,479) = 1.599883325976934383 C2(281,479) = 1.804323783868274636 C3(281,479) = 15.91315105530565493 C4(281,479) = 3832 Sum = 5335.931994144370930 Averaged sum = 0.5331133973568159586 logp*logq = 34.79823688114170216 -------------- ************************************* p = 281; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1423119820840097.573 -------------- Searches starting with [281,487]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(281,487) = 0.8922549788402661111 D2(281,487) = 0.001982913917331778019 C1(281,487) = 1.297662271289704678 C2(281,487) = 2.058687921548038925 C3(281,487) = 9.435004628424491402 C4(281,487) = 3896 Sum = 4737.308684800002433 Averaged sum = 0.4733048940753324440 logp*logq = 34.89162791345321776 -------------- ************************************* p = 281; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1490293806821756.288 -------------- Searches starting with [281,491]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(281,491) = 0.6852673094291866154 D2(281,491) = 0.04021860770068062310 C1(281,491) = 1.179739019049188223 C2(281,491) = 2.098282196934710941 C3(281,491) = 7.694205557648497392 C4(281,491) = 3928 Sum = 4383.753683423849522 Averaged sum = 0.4379811852756368790 logp*logq = 34.93774968121590477 -------------- ************************************* p = 281; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1632479776115707.282 -------------- Searches starting with [281,499]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(281,499) = 0.9058258372712792178 D2(281,499) = 0.05442684784803591483 C1(281,499) = 1.233649701986079228 C2(281,499) = 1.832220571134814563 C3(281,499) = 8.446152587211745745 C4(281,499) = 3992 Sum = 4434.608294376081268 Averaged sum = 0.4430620735713938723 logp*logq = 35.02887658871186730 -------------- ************************************* p = 281; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1707648429556568.804 -------------- Searches starting with [281,503]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(281,503) = 0.8453286884414512050 D2(281,503) = 0.05052208553667577351 C1(281,503) = 1.120506047324559031 C2(281,503) = 1.829797961529652751 C3(281,503) = 6.944976753189456910 C4(281,503) = 4024 Sum = 3712.439674933980621 Averaged sum = 0.3709101483598741753 logp*logq = 35.07389363159346438 -------------- ************************************* p = 281; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1825722831341854.311 -------------- Searches starting with [281,509]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(281,509) = 0.9422685345065121852 D2(281,509) = 0.04105092707900135216 C1(281,509) = 1.477571010655529883 C2(281,509) = 1.673567738430344991 C3(281,509) = 12.87896601695834514 C4(281,509) = 4072 Sum = 3184.454066282276700 Averaged sum = 0.3181590634711036767 logp*logq = 35.14075237549748231 -------------- ************************************* p = 281; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2082066818701134.117 -------------- Searches starting with [281,521]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(281,521) = 0.7172351715708865616 D2(281,521) = 0.02586577158387050193 C1(281,521) = 0.9641607151239988515 C2(281,521) = 1.392857762454298221 C3(281,521) = 5.299460095414896446 C4(281,521) = 4168 Sum = 4319.009021232037066 Averaged sum = 0.4315125408364509008 logp*logq = 35.27213745810487139 -------------- ************************************* p = 281; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2127534890454975.946 -------------- Searches starting with [281,523]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(281,523) = 0.7703577672239433494 D2(281,523) = 0.01273383051404685474 C1(281,523) = 1.043660522435072714 C2(281,523) = 2.143539017036028971 C3(281,523) = 6.080623262292285635 C4(281,523) = 4184 Sum = 4143.683649642612070 Averaged sum = 0.4139957687723660775 logp*logq = 35.29374037598542256 -------------- ************************************* p = 281; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2574752935280049.890 -------------- Searches starting with [281,541]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(281,541) = 0.6638240624113945516 D2(281,541) = 0.01706439594872441858 C1(281,541) = 0.9604171040355574826 C2(281,541) = 1.856541972191689948 C3(281,541) = 5.265257359961243101 C4(281,541) = 4328 Sum = 4009.074240282259055 Averaged sum = 0.4005469317896152517 logp*logq = 35.48452997695907406 -------------- ************************************* p = 281; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2739956235427861.195 -------------- Searches starting with [281,547]-exponents: u = 19, v = 8 n_start has 69 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(281,547) = 0.6496306697444050738 D2(281,547) = 0.01101820721700883519 C1(281,547) = 1.031230088397699163 C2(281,547) = 1.694908140609247568 C3(281,547) = 5.951287710069692186 C4(281,547) = 4376 Sum = 4193.698867234168732 Averaged sum = 0.4189927932095282977 logp*logq = 35.54671834271151933 -------------- ************************************* p = 281; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3034628002481968.860 -------------- Searches starting with [281,557]-exponents: u = 37, v = 8 n_start has 113 digits starting right neighbors generation We generated 566 left neighbors We generated 9444 right neighbors We generated 10009 non-negative rho_i D1(281,557) = 0.6844107971587154973 D2(281,557) = 0.003259377080236034510 C1(281,557) = 1.012236483545033463 C2(281,557) = 1.528580078853095663 C3(281,557) = 5.758957250063672214 C4(281,557) = 4456 Sum = 3393.101859110365580 Averaged sum = 0.3390050813378325087 logp*logq = 35.64886524271123646 -------------- ************************************* p = 281; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3223605225907296.921 -------------- Searches starting with [281,563]-exponents: u = 73, v = 8 n_start has 201 digits starting right neighbors generation We generated 2926 left neighbors We generated 7084 right neighbors We generated 10009 non-negative rho_i D1(281,563) = 0.6760059146648392780 D2(281,563) = 0.03227617163018083401 C1(281,563) = 0.9413333726513072674 C2(281,563) = 1.720765272134581696 C3(281,563) = 5.094303480551968863 C4(281,563) = 4504 Sum = 4501.360496912807556 Averaged sum = 0.4497312915289047413 logp*logq = 35.70927676351771231 -------------- ************************************* p = 281; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3422158432242700.885 -------------- Searches starting with [281,569]-exponents: u = 9, v = 959 n_start has 2665 digits --- performed 5000 steps in the continued fraction search [281,569]-exponents: u = 599, v = 430 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(281,569) = 0.6537710034066077940 D2(281,569) = 0.5371247460516872600 C1(281,569) = 0.8156827142044525879 C2(281,569) = 1.503131612694814359 C3(281,569) = 4.099227493826698588 C4(281,569) = 4552 Sum = 5894.645271741725380 Averaged sum = 0.5895234795221247504 logp*logq = 35.76904786745118812 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(281,569) = 0.6537710034066077940 D2(281,569) = 0.5371247460516872600 C1(281,569) = 0.8156827142044525879 C2(281,569) = 1.503131612694814359 C3(281,569) = 4.099227493826698588 C4(281,569) = 4552 Sum = 5894.645271741725380 Averaged sum = 0.5895234795221247504 logp*logq = 35.76904786745118812 -------------- ************************************* p = 281; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3490535606784660.623 -------------- Searches starting with [281,571]-exponents: u = 9, v = 159 n_start has 461 digits starting right neighbors generation We generated 4990 left neighbors We generated 5020 right neighbors We generated 10009 non-negative rho_i D1(281,571) = 0.8191283847908483280 D2(281,571) = 0.005234331314462594131 C1(281,571) = 1.089685789070509717 C2(281,571) = 1.217021700020735224 C3(281,571) = 6.584458817187242698 C4(281,571) = 4568 Sum = 4473.097852913630835 Averaged sum = 0.4469075684797313253 logp*logq = 35.78883158834259936 -------------- ************************************* p = 281; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3702444345115434.838 -------------- Searches starting with [281,577]-exponents: u = 9, v = 47 n_start has 152 digits starting right neighbors generation We generated 1021 left neighbors We generated 8989 right neighbors We generated 10009 non-negative rho_i D1(281,577) = 0.7450439260848942426 D2(281,577) = 0.03291411350026783038 C1(281,577) = 1.069613932339839294 C2(281,577) = 1.482526604195365821 C3(281,577) = 6.359794203185851104 C4(281,577) = 4616 Sum = 3551.869032984903060 Averaged sum = 0.3548675225282149126 logp*logq = 35.84776963025338842 -------------- ************************************* p = 281; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4079092613727293.660 -------------- Searches starting with [281,587]-exponents: u = 9, v = 15 n_start has 64 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(281,587) = 1.243300185714284474 D2(281,587) = 0.09795516292128747929 C1(281,587) = 1.640339063355568503 C2(281,587) = 1.823179779843644062 C3(281,587) = 17.06650566295246786 C4(281,587) = 4696 Sum = 3887.054528195695233 Averaged sum = 0.3883559324803372198 logp*logq = 35.94465095999626892 -------------- ************************************* p = 281; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4319822266007740.559 -------------- Searches starting with [281,593]-exponents: u = 9, v = 15 n_start has 64 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(281,593) = 0.5622216989565888775 D2(281,593) = 0.1383615446994809035 C1(281,593) = 0.9055350173238183215 C2(281,593) = 1.865288146082876991 C3(281,593) = 4.788448194648506445 C4(281,593) = 4744 Sum = 4274.774103702492818 Averaged sum = 0.4270930266462676409 logp*logq = 36.00199065419250582 -------------- ************************************* p = 281; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4572118656377880.394 -------------- Searches starting with [281,599]-exponents: u = 17, v = 7 n_start has 62 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(281,599) = 0.6434264877022145320 D2(281,599) = 0.1357382323137633239 C1(281,599) = 0.8603636163046224077 C2(281,599) = 1.880727934528547379 C3(281,599) = 4.428576869131253149 C4(281,599) = 4792 Sum = 3904.729039156377843 Averaged sum = 0.3901217943007670939 logp*logq = 36.05875309334503691 -------------- ************************************* p = 281; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4658862088962497.099 -------------- Searches starting with [281,601]-exponents: u = 17, v = 7 n_start has 62 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(281,601) = 1.069729386305672006 D2(281,601) = 0.1200262226955542347 C1(281,601) = 1.470628062814173349 C2(281,601) = 1.865646376367605822 C3(281,601) = 12.72523424040899941 C4(281,601) = 4808 Sum = 4790.423174153127821 Averaged sum = 0.4786115670050082746 logp*logq = 36.07754762631184096 -------------- ************************************* p = 281; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4927254013881955.709 -------------- Searches starting with [281,607]-exponents: u = 25, v = 7 n_start has 81 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(281,607) = 0.7141846633319210019 D2(281,607) = 0.07724774415750920146 C1(281,607) = 1.097936121918364490 C2(281,607) = 1.824746552533073943 C3(281,607) = 6.679090728439963024 C4(281,607) = 4856 Sum = 3757.064028977994310 Averaged sum = 0.3753685711837340703 logp*logq = 36.13355823263006683 -------------- ************************************* p = 281; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5208237522542120.980 -------------- Searches starting with [281,613]-exponents: u = 33, v = 7 n_start has 101 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(281,613) = 0.5918910754159858266 D2(281,613) = 0.03953453092876255227 C1(281,613) = 0.8109725529012987209 C2(281,613) = 1.788893238159779920 C3(281,613) = 4.065968146678570247 C4(281,613) = 4904 Sum = 4239.918758813529320 Averaged sum = 0.4236106263176670317 logp*logq = 36.18901790602392555 -------------- ************************************* p = 281; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5402781242480934.447 -------------- Searches starting with [281,617]-exponents: u = 41, v = 7 n_start has 120 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(281,617) = 0.8181420292257467676 D2(281,617) = 0.01654789013681356337 C1(281,617) = 1.181741892205406783 C2(281,617) = 1.767136292351525847 C3(281,617) = 7.720905690470895141 C4(281,617) = 4936 Sum = 4655.238971136939441 Averaged sum = 0.4651053023415865162 logp*logq = 36.22569026079468882 -------------- ************************************* p = 281; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5502271375219370.689 -------------- Searches starting with [281,619]-exponents: u = 57, v = 7 n_start has 160 digits starting right neighbors generation We generated 1801 left neighbors We generated 8209 right neighbors We generated 10009 non-negative rho_i D1(281,619) = 0.6844838852370589752 D2(281,619) = 0.005594487554574979283 C1(281,619) = 0.9773018529915661499 C2(281,619) = 1.756794706106699194 C3(281,619) = 5.421289798898607917 C4(281,619) = 4952 Sum = 3600.626725687308873 Averaged sum = 0.3597389075519341465 logp*logq = 36.24393737921006351 -------------- ************************************* p = 281; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6131385351534614.689 -------------- Searches starting with [281,631]-exponents: u = 8, v = 230 n_start has 664 digits --- performed 5000 steps in the continued fraction search [281,631]-exponents: u = 14, v = 205 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(281,631) = 0.6804512316325504828 D2(281,631) = 0.2515282637461021940 C1(281,631) = 0.8916629442622198239 C2(281,631) = 1.441984473114962367 C3(281,631) = 4.674926125107756125 C4(281,631) = 5048 Sum = 5075.266433486477183 Averaged sum = 0.5075774010887565940 logp*logq = 36.35219711468208244 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(281,631) = 0.6804512316325504828 D2(281,631) = 0.2515282637461021940 C1(281,631) = 0.8916629442622198239 C2(281,631) = 1.441984473114962367 C3(281,631) = 4.674926125107756125 C4(281,631) = 5048 Sum = 5075.266433486477183 Averaged sum = 0.5075774010887565940 logp*logq = 36.35219711468208244 -------------- ************************************* p = 281; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6699788250935567.288 -------------- Searches starting with [281,641]-exponents: u = 8, v = 41 n_start has 135 digits starting right neighbors generation We generated 807 left neighbors We generated 9203 right neighbors We generated 10009 non-negative rho_i D1(281,641) = 0.7138075161614484232 D2(281,641) = 0.0009991774970964058379 C1(281,641) = 1.034475306116313348 C2(281,641) = 1.500927321445460006 C3(281,641) = 5.984785636475853140 C4(281,641) = 5128 Sum = 3316.633970566894999 Averaged sum = 0.3313651684051248875 logp*logq = 36.44085231647020299 -------------- ************************************* p = 281; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6818509527268356.837 -------------- Searches starting with [281,643]-exponents: u = 8, v = 34 n_start has 116 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(281,643) = 0.6348033280439807023 D2(281,643) = 0.007871991835541834530 C1(281,643) = 0.8622017545852767781 C2(281,643) = 1.552921458518114695 C3(281,643) = 4.442678737401527347 C4(281,643) = 5144 Sum = 4057.780771812968209 Averaged sum = 0.4054132052965299439 logp*logq = 36.45841729849294715 -------------- ************************************* p = 281; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7061147376606221.331 -------------- Searches starting with [281,647]-exponents: u = 8, v = 27 n_start has 96 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(281,647) = 0.6422691310620350432 D2(281,647) = 0.02271136340796568018 C1(281,647) = 0.9657792830372434880 C2(281,647) = 1.625848040892267346 C3(281,647) = 5.314316521032332889 C4(281,647) = 5176 Sum = 3886.906498351649018 Averaged sum = 0.3883411428066389267 logp*logq = 36.49338395114411989 -------------- ************************************* p = 281; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7438388876905474.092 -------------- Searches starting with [281,653]-exponents: u = 8, v = 20 n_start has 76 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(281,653) = 0.6867669614416138736 D2(281,653) = 0.04773839267500718917 C1(281,653) = 0.9336043141018126893 C2(281,653) = 1.729739889642064204 C3(281,653) = 5.026655390939781232 C4(281,653) = 5224 Sum = 4090.565517155365549 Averaged sum = 0.4086887318568653760 logp*logq = 36.54543067150258058 -------------- ************************************* p = 281; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7832055199956270.764 -------------- Searches starting with [281,659]-exponents: u = 8, v = 13 n_start has 57 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(281,659) = 0.8338190836904682354 D2(281,659) = 0.07817099472928204500 C1(281,659) = 1.147666624521436656 C2(281,659) = 1.876652810653614137 C3(281,659) = 7.279013567422384337 C4(281,659) = 5272 Sum = 4410.562177484613233 Averaged sum = 0.4406596240867832184 logp*logq = 36.59700134811664566 -------------- ************************************* p = 281; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7967022938004226.638 -------------- Searches starting with [281,661]-exponents: u = 8, v = 13 n_start has 57 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(281,661) = 0.6588344706994910965 D2(281,661) = 0.08764493800610270239 C1(281,661) = 0.8814837451129946271 C2(281,661) = 1.886645714628249307 C3(281,661) = 4.593340311244075310 C4(281,661) = 5288 Sum = 3857.786084111734885 Averaged sum = 0.3854317198632965216 logp*logq = 36.61408728443169648 -------------- ************************************* p = 281; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8817631442357125.756 -------------- Searches starting with [281,673]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(281,673) = 0.7316199831447845366 D2(281,673) = 0.1053360158823857275 C1(281,673) = 1.018774927858427184 C2(281,673) = 1.927824872653629929 C3(281,673) = 5.824454041438057161 C4(281,673) = 5384 Sum = 3980.948900553041422 Averaged sum = 0.3977369268211650937 logp*logq = 36.71552968491456255 -------------- ************************************* p = 281; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9117228450210583.918 -------------- Searches starting with [281,677]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(281,677) = 0.7660350029321476553 D2(281,677) = 0.08282184996975034495 C1(281,677) = 1.039991480322504465 C2(281,677) = 1.906465012003877610 C3(281,677) = 6.042158127417645676 C4(281,677) = 5416 Sum = 4246.390561434518624 Averaged sum = 0.4242572246412747151 logp*logq = 36.74894225480734412 -------------- ************************************* p = 281; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9582287775468349.572 -------------- Searches starting with [281,683]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(281,683) = 0.6615027268938905883 D2(281,683) = 0.05172663325326465094 C1(281,683) = 1.031685480683768465 C2(281,683) = 1.877088337532897287 C3(281,683) = 5.955977046637469800 C4(281,683) = 5464 Sum = 4101.288270831449836 Averaged sum = 0.4097600430444050191 logp*logq = 36.79869276584365351 -------------- ************************************* p = 281; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10232560165253391.93 -------------- Searches starting with [281,691]-exponents: u = 22, v = 6 n_start has 71 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(281,691) = 0.8417599637915202091 D2(281,691) = 0.01423877113868231276 C1(281,691) = 1.152097544034215614 C2(281,691) = 1.841868179948962682 C3(281,691) = 7.335011931951180027 C4(281,691) = 5528 Sum = 4319.361192512813305 Averaged sum = 0.4315477262976134783 logp*logq = 36.86435120409735521 -------------- ************************************* p = 281; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11096026217487359.39 -------------- Searches starting with [281,701]-exponents: u = 36, v = 6 n_start has 106 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(281,701) = 0.9177327514912638077 D2(281,701) = 0.03582832647771197374 C1(281,701) = 1.339756226050173196 C2(281,701) = 1.755891229715725556 C3(281,701) = 10.14754748614948714 C4(281,701) = 5608 Sum = 4847.379469427449376 Averaged sum = 0.4843020750751772781 logp*logq = 36.94536344070767736 -------------- ************************************* p = 281; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11829176470836284.24 -------------- Searches starting with [281,709]-exponents: u = 71, v = 6 n_start has 191 digits starting right neighbors generation We generated 2349 left neighbors We generated 7661 right neighbors We generated 10009 non-negative rho_i D1(281,709) = 0.7081535509115954463 D2(281,709) = 0.009135014006990650755 C1(281,709) = 0.9892890378430048124 C2(281,709) = 1.655268520970835019 C3(281,709) = 5.534862367552264469 C4(281,709) = 5672 Sum = 4580.402705150709388 Averaged sum = 0.4576284049506153849 logp*logq = 37.00934545685453345 -------------- ************************************* p = 281; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12801199860396207.37 -------------- Searches starting with [281,719]-exponents: u = 4999, v = 6 n_start has 12259 digits --- performed 5000 steps in the continued fraction search [281,719]-exponents: u = 35, v = 4260 --- **************************************************** Computing .... elapsed time = 33 minutes **************************************************** We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(281,719) = 0.6815606938632434356 D2(281,719) = 0.5952633407342306295 C1(281,719) = 0.8199527005555752578 C2(281,719) = 1.440080039277329839 C3(281,719) = 4.129613732345494915 C4(281,719) = 5752 Sum = 6472.947547607182378 Averaged sum = 0.6473594907097892167 logp*logq = 37.08831530053647617 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(281,719) = 0.6815606938632434356 D2(281,719) = 0.5952633407342306295 C1(281,719) = 0.8199527005555752578 C2(281,719) = 1.440080039277329839 C3(281,719) = 4.129613732345494915 C4(281,719) = 5752 Sum = 6472.947547607182378 Averaged sum = 0.6473594907097892167 logp*logq = 37.08831530053647617 -------------- ************************************* p = 281; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13625294780579840.70 -------------- Searches starting with [281,727]-exponents: u = 7, v = 83 n_start has 255 digits starting right neighbors generation We generated 4262 left neighbors We generated 5748 right neighbors We generated 10009 non-negative rho_i D1(281,727) = 0.5731875799767386180 D2(281,727) = 0.001071025440827188523 C1(281,727) = 0.7866452421261995570 C2(281,727) = 1.610508245128763682 C3(281,727) = 3.898436408188457526 C4(281,727) = 5816 Sum = 4433.132109467367136 Averaged sum = 0.4429145878177007829 logp*logq = 37.15070437049786883 -------------- ************************************* p = 281; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14271590424586006.77 -------------- Searches starting with [281,733]-exponents: u = 7, v = 47 n_start has 152 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(281,733) = 0.5948690354594093565 D2(281,733) = 0.03115002450079554169 C1(281,733) = 0.7947496423757240023 C2(281,733) = 1.703840827405401041 C3(281,733) = 3.953466780807663224 C4(281,733) = 5864 Sum = 4083.429698219940147 Averaged sum = 0.4079757916095454238 logp*logq = 37.19704727250765299 -------------- ************************************* p = 281; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14942895657113646.57 -------------- Searches starting with [281,739]-exponents: u = 7, v = 29 n_start has 101 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(281,739) = 0.7982820252146181383 D2(281,739) = 0.02198643532202144333 C1(281,739) = 1.170081041732027178 C2(281,739) = 1.780681874479199190 C3(281,739) = 7.566746280464508161 C4(281,739) = 5912 Sum = 4394.678370401532110 Averaged sum = 0.4390726716356810981 logp*logq = 37.24301237491877659 -------------- ************************************* p = 281; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15404697823431571.23 -------------- Searches starting with [281,743]-exponents: u = 7, v = 23 n_start has 84 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(281,743) = 0.9688177483685231935 D2(281,743) = 0.04830793354394325625 C1(281,743) = 1.443998803655404044 C2(281,743) = 1.807875995065335216 C3(281,743) = 12.15243071499280994 C4(281,743) = 5944 Sum = 4650.594871816311168 Averaged sum = 0.4646413100026287509 logp*logq = 37.27344891128050198 -------------- ************************************* p = 281; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16363562746659675.12 -------------- Searches starting with [281,751]-exponents: u = 7, v = 17 n_start has 67 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(281,751) = 0.5660253824374884256 D2(281,751) = 0.1071274373632083297 C1(281,751) = 0.7677951753880219297 C2(281,751) = 1.868426494543203550 C3(281,751) = 3.773385546894333024 C4(281,751) = 6008 Sum = 4191.371495473580698 Averaged sum = 0.4187602653085803475 logp*logq = 37.33383347417716332 -------------- ************************************* p = 281; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17114479503723740.64 -------------- Searches starting with [281,757]-exponents: u = 7, v = 17 n_start has 67 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(281,757) = 0.5620016879898915615 D2(281,757) = 0.004002765571805098908 C1(281,757) = 0.8865398061508014114 C2(281,757) = 1.767373614073794328 C3(281,757) = 4.633684872173180249 C4(281,757) = 6056 Sum = 4196.554364773817611 Averaged sum = 0.4192780861998019393 logp*logq = 37.37870125472859152 -------------- ************************************* p = 281; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17630662570705602.19 -------------- Searches starting with [281,761]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(281,761) = 0.8085792617640227708 D2(281,761) = 0.01600428057606594420 C1(281,761) = 1.275414190751529579 C2(281,761) = 1.907517448373754810 C3(281,761) = 9.078841175663698965 C4(281,761) = 6088 Sum = 3559.554653973556385 Averaged sum = 0.3556353935431667884 logp*logq = 37.40841597261686498 -------------- ************************************* p = 281; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18701491894802493.80 -------------- Searches starting with [281,769]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(281,769) = 1.101508093114110209 D2(281,769) = 0.04026543487918430458 C1(281,769) = 1.646385839001763856 C2(281,769) = 1.933619769777505962 C3(281,769) = 17.24593159516400751 C4(281,769) = 6152 Sum = 4595.047325187104641 Averaged sum = 0.4590915501235992248 logp*logq = 37.46737969605965530 -------------- ************************************* p = 281; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19256632196099565.52 -------------- Searches starting with [281,773]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(281,773) = 1.020637172504988342 D2(281,773) = 0.05286571332769389867 C1(281,773) = 1.481712554192037915 C2(281,773) = 1.947133317979882937 C3(281,773) = 12.97155159974016214 C4(281,773) = 6184 Sum = 5007.531718677628939 Averaged sum = 0.5003028992584303066 logp*logq = 37.49663192597527094 -------------- ************************************* p = 281; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21307507720186988.85 -------------- Searches starting with [281,787]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(281,787) = 0.6828141103609039212 D2(281,787) = 0.06957148702532357146 C1(281,787) = 1.143248162430757230 C2(281,787) = 1.389767415106953697 C3(281,787) = 7.223598356282780761 C4(281,787) = 6296 Sum = 3995.991194838693605 Averaged sum = 0.3992398036605748431 logp*logq = 37.59783588064745029 -------------- ************************************* p = 281; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22879739441177435.64 -------------- Searches starting with [281,797]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(281,797) = 0.6414185870649637347 D2(281,797) = 0.03504105003856924115 C1(281,797) = 0.8655944760421056575 C2(281,797) = 1.961495207034872304 C3(281,797) = 4.468825125656753426 C4(281,797) = 6376 Sum = 3986.338891923408796 Averaged sum = 0.3982754412951752219 logp*logq = 37.66902817329701119 -------------- ************************************* p = 281; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24891159344120610.19 -------------- Searches starting with [281,809]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(281,809) = 1.178534967565366731 D2(281,809) = 0.1091845751718057552 C1(281,809) = 1.870817951468307717 C2(281,809) = 1.215699971758719250 C3(281,809) = 25.42549267106475232 C4(281,809) = 6472 Sum = 2831.822109578799015 Averaged sum = 0.2829275761393544825 logp*logq = 37.75328908891658490 -------------- ************************************* p = 281; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25240114256362588.84 -------------- Searches starting with [281,811]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(281,811) = 0.6831057639167489211 D2(281,811) = 0.1339897425912903115 C1(281,811) = 0.9164830062294388751 C2(281,811) = 1.428980227614840963 C3(281,811) = 4.879984035792042811 C4(281,811) = 6488 Sum = 4148.178616866546552 Averaged sum = 0.4144448613114743283 logp*logq = 37.76721095937070171 -------------- ************************************* p = 281; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27045832123057818.48 -------------- Searches starting with [281,821]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(281,821) = 0.6576722959443160316 D2(281,821) = 0.08028316886961928581 C1(281,821) = 1.011087584170019286 C2(281,821) = 1.890920611286212888 C3(281,821) = 5.747524830284115992 C4(281,821) = 6568 Sum = 4002.576898635474984 Averaged sum = 0.3998977818598736121 logp*logq = 37.83630930785310537 -------------- ************************************* p = 281; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27419420623594739.16 -------------- Searches starting with [281,823]-exponents: u = 25, v = 5 n_start has 76 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(281,823) = 0.8729779741773164253 D2(281,823) = 0.06688901023572802044 C1(281,823) = 1.342053534189290173 C2(281,823) = 1.877999351660171607 C3(281,823) = 10.18794802764491734 C4(281,823) = 6584 Sum = 2616.768254120758904 Averaged sum = 0.2614415280368427320 logp*logq = 37.85002793912047824 -------------- ************************************* p = 281; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28179339707439431.07 -------------- Searches starting with [281,827]-exponents: u = 25, v = 5 n_start has 76 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(281,827) = 0.7820507278384434995 D2(281,827) = 0.04160698987581487338 C1(281,827) = 1.118081159317076664 C2(281,827) = 1.853659653778450140 C3(281,827) = 6.915910047536294262 C4(281,827) = 6616 Sum = 4126.445549158251689 Averaged sum = 0.4122735087579430202 logp*logq = 37.87736546985898986 -------------- ************************************* p = 281; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28565745658229992.66 -------------- Searches starting with [281,829]-exponents: u = 25, v = 5 n_start has 76 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(281,829) = 0.5715687644625167764 D2(281,829) = 0.02962772183760926994 C1(281,829) = 0.7787902647042324084 C2(281,829) = 1.842149820472900861 C3(281,829) = 3.845830764932222887 C4(281,829) = 6632 Sum = 4197.173614831120053 Averaged sum = 0.4193399555231411782 logp*logq = 37.89098469065783977 -------------- ************************************* p = 281; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30563768663548868.77 -------------- Searches starting with [281,839]-exponents: u = 37, v = 5 n_start has 106 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(281,839) = 0.7485342514168716896 D2(281,839) = 0.04435766226887174575 C1(281,839) = 1.043983344176189201 C2(281,839) = 1.775821520553677461 C3(281,839) = 6.084019326280173871 C4(281,839) = 6712 Sum = 4330.597324751448041 Averaged sum = 0.4326703291788838087 logp*logq = 37.95859167174800726 -------------- ************************************* p = 281; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33552907182521765.62 -------------- Searches starting with [281,853]-exponents: u = 73, v = 5 n_start has 194 digits starting right neighbors generation We generated 2139 left neighbors We generated 7871 right neighbors We generated 10009 non-negative rho_i D1(281,853) = 0.7257260651977725362 D2(281,853) = 0.005332426644381258462 C1(281,853) = 1.012997574659191431 C2(281,853) = 1.628768085805045350 C3(281,853) = 5.766543202718138263 C4(281,853) = 6824 Sum = 4624.562105286711962 Averaged sum = 0.4620403741918984875 logp*logq = 38.05189990681040611 -------------- ************************************* p = 281; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34449752994764879.49 -------------- Searches starting with [281,857]-exponents: u = 103, v = 5 n_start has 267 digits starting right neighbors generation We generated 4099 left neighbors We generated 5911 right neighbors We generated 10009 non-negative rho_i D1(281,857) = 0.6259500350880823195 D2(281,857) = 0.006604635814599927659 C1(281,857) = 0.8567248728778963280 C2(281,857) = 1.557338707882969953 C3(281,857) = 4.400792953266316027 C4(281,857) = 6856 Sum = 4481.638689468737694 Averaged sum = 0.4477608841511377454 logp*logq = 38.07827822238136491 -------------- ************************************* p = 281; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34905515406730801.67 -------------- Searches starting with [281,859]-exponents: u = 127, v = 5 n_start has 326 digits --- performed 5000 steps in the continued fraction search [281,859]-exponents: u = 49, v = 18 --- starting right neighbors generation We generated 6003 left neighbors We generated 4007 right neighbors We generated 10009 non-negative rho_i D1(281,859) = 0.6829200441824195429 D2(281,859) = 0.01288154664737331942 C1(281,859) = 0.9244522339239278805 C2(281,859) = 1.510175475778502327 C3(281,859) = 4.947713067931599164 C4(281,859) = 6872 Sum = 4569.537867359745959 Averaged sum = 0.4565428981276597022 logp*logq = 38.09142124620973229 -------------- ************************************* p = 281; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35831928203028222.56 -------------- Searches starting with [281,863]-exponents: u = 235, v = 5 n_start has 591 digits --- performed 5000 steps in the continued fraction search [281,863]-exponents: u = 3, v = 176 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(281,863) = 0.5121763557606855931 D2(281,863) = 0.1615817413802762735 C1(281,863) = 0.6818725540420001484 C2(281,863) = 1.427892162230342351 C3(281,863) = 3.252297004957591818 C4(281,863) = 6904 Sum = 4954.514225889171829 Averaged sum = 0.4955009726861858015 logp*logq = 38.11761574010269840 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(281,863) = 0.5121763557606855931 D2(281,863) = 0.1615817413802762735 C1(281,863) = 0.6818725540420001484 C2(281,863) = 1.427892162230342351 C3(281,863) = 3.252297004957591818 C4(281,863) = 6904 Sum = 4954.514225889171829 Averaged sum = 0.4955009726861858015 logp*logq = 38.11761574010269840 -------------- ************************************* p = 281; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39235166424408005.52 -------------- Searches starting with [281,877]-exponents: u = 6, v = 104 n_start has 321 digits --- performed 5000 steps in the continued fraction search [281,877]-exponents: u = 34, v = 27 --- starting right neighbors generation We generated 5867 left neighbors We generated 4143 right neighbors We generated 10009 non-negative rho_i D1(281,877) = 0.6367630375054869535 D2(281,877) = 0.009210441683720066745 C1(281,877) = 0.8626698823134357156 C2(281,877) = 1.518460207599003391 C3(281,877) = 4.446277298223587530 C4(281,877) = 7016 Sum = 4542.357399589680368 Averaged sum = 0.4538272953931142340 logp*logq = 38.20834984221447614 -------------- ************************************* p = 281; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40254891857335323.67 -------------- Searches starting with [281,881]-exponents: u = 6, v = 74 n_start has 233 digits starting right neighbors generation We generated 3179 left neighbors We generated 6831 right neighbors We generated 10009 non-negative rho_i D1(281,881) = 0.6709596836422279983 D2(281,881) = 0.0005085255281562047482 C1(281,881) = 0.9295002489248592152 C2(281,881) = 1.602972533028023952 C3(281,881) = 4.991100722994043152 C4(281,881) = 7048 Sum = 4025.131617311005307 Averaged sum = 0.4021512256280352989 logp*logq = 38.23400792821846249 -------------- ************************************* p = 281; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40772870581916660.61 -------------- Searches starting with [281,883]-exponents: u = 6, v = 64 n_start has 204 digits starting right neighbors generation We generated 2279 left neighbors We generated 7731 right neighbors We generated 10009 non-negative rho_i D1(281,883) = 0.6383997629620361659 D2(281,883) = 0.02516769177307936117 C1(281,883) = 0.8925969948204715095 C2(281,883) = 1.627955726661556178 C3(281,883) = 4.682484696748149705 C4(281,883) = 7064 Sum = 3820.629449259690370 Averaged sum = 0.3817193974682476141 logp*logq = 38.24679331843460562 -------------- ************************************* p = 281; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41825284784687688.42 -------------- Searches starting with [281,887]-exponents: u = 6, v = 49 n_start has 160 digits starting right neighbors generation We generated 1338 left neighbors We generated 8672 right neighbors We generated 10009 non-negative rho_i D1(281,887) = 0.7375931630290412986 D2(281,887) = 0.03472441913463845874 C1(281,887) = 1.002253731932662623 C2(281,887) = 1.681190530424465837 C3(281,887) = 5.660376078917481371 C4(281,887) = 7096 Sum = 4341.473971255447133 Averaged sum = 0.4337570158113145302 logp*logq = 38.27227745071885444 -------------- ************************************* p = 281; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47428441837897264.42 -------------- Searches starting with [281,907]-exponents: u = 6, v = 24 n_start has 86 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(281,907) = 0.6807220012800611034 D2(281,907) = 0.08123209180950130483 C1(281,907) = 0.9404783578777240245 C2(281,907) = 1.853553930646477038 C3(281,907) = 5.086775454883637336 C4(281,907) = 7256 Sum = 4098.990548482044389 Averaged sum = 0.4095304774185277639 logp*logq = 38.39799848243463626 -------------- ************************************* p = 281; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48619922224696838.67 -------------- Searches starting with [281,911]-exponents: u = 6, v = 19 n_start has 71 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(281,911) = 0.6445793139586309630 D2(281,911) = 0.0008966540110411771048 C1(281,911) = 0.9756638022064911392 C2(281,911) = 1.869263442138124865 C3(281,911) = 5.405952154637548895 C4(281,911) = 7288 Sum = 3957.254035986355933 Averaged sum = 0.3953695709847493189 logp*logq = 38.42280976414079814 -------------- ************************************* p = 281; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51076819965935811.19 -------------- Searches starting with [281,919]-exponents: u = 6, v = 19 n_start has 71 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(281,919) = 0.6999244476836885407 D2(281,919) = 0.03544279564858650601 C1(281,919) = 0.9364593045091782505 C2(281,919) = 1.905264161908098493 C3(281,919) = 5.051538246365939875 C4(281,919) = 7352 Sum = 3943.320583446573936 Averaged sum = 0.3939774786139048792 logp*logq = 38.47210716818433620 -------------- ************************************* p = 281; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54290677293555985.44 -------------- Searches starting with [281,929]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(281,929) = 0.8769836567923107211 D2(281,929) = 0.08299334227385010977 C1(281,929) = 1.288176235368363810 C2(281,929) = 1.954614918835246587 C3(281,929) = 9.281467728721126558 C4(281,929) = 7432 Sum = 4174.443699700100259 Averaged sum = 0.4170690078629333858 logp*logq = 38.53312891822556277 -------------- ************************************* p = 281; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56979915168268868.64 -------------- Searches starting with [281,937]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(281,937) = 0.9441469036086375389 D2(281,937) = 0.1141305607138804373 C1(281,937) = 1.282357985403038827 C2(281,937) = 1.451852907475206833 C3(281,937) = 9.188534845021108763 C4(281,937) = 7496 Sum = 4234.825296614747469 Averaged sum = 0.4231017380971872784 logp*logq = 38.58147523518096908 -------------- ************************************* p = 281; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58365060216869076.01 -------------- Searches starting with [281,941]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(281,941) = 1.153108411295365396 D2(281,941) = 0.09071773879746200185 C1(281,941) = 1.857046725972958892 C2(281,941) = 1.228987749461983387 C3(281,941) = 24.82704823874497841 C4(281,941) = 7528 Sum = 3600.622894482934904 Averaged sum = 0.3597385247759950948 logp*logq = 38.60549382174388226 -------------- ************************************* p = 281; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60494626777389358.13 -------------- Searches starting with [281,947]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(281,947) = 0.5495608523070824410 D2(281,947) = 0.1211903161886682469 C1(281,947) = 0.7670977698620238151 C2(281,947) = 1.915990925045550448 C3(281,947) = 3.768836730517684737 C4(281,947) = 7576 Sum = 4206.610106544602927 Averaged sum = 0.4202827561739037793 logp*logq = 38.64133094240644990 -------------- ************************************* p = 281; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62687704437885549.41 -------------- Searches starting with [281,953]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(281,953) = 0.6247324410953630759 D2(281,953) = 0.1037338871590488591 C1(281,953) = 0.8765811077832854812 C2(281,953) = 1.899677809033568155 C3(281,953) = 4.554555460887848161 C4(281,953) = 7624 Sum = 4195.805900852419263 Averaged sum = 0.4192033071088439667 logp*logq = 38.67694172185002307 -------------- ************************************* p = 281; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68060212400798385.67 -------------- Searches starting with [281,967]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(281,967) = 0.9380703267986569242 D2(281,967) = 0.05933096589113095002 C1(281,967) = 1.299534049462819552 C2(281,967) = 1.659439836362485766 C3(281,967) = 9.465599132915830371 C4(281,967) = 7736 Sum = 4737.160111241469902 Averaged sum = 0.4732900500790758220 logp*logq = 38.75916918476609197 -------------- ************************************* p = 281; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69662890939101566.82 -------------- Searches starting with [281,971]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(281,971) = 0.6415887304646728942 D2(281,971) = 0.006689660646377609095 C1(281,971) = 0.9115326061262758067 C2(281,971) = 2.032660990993374633 C3(281,971) = 4.838379132286371124 C4(281,971) = 7768 Sum = 4211.972960117211424 Averaged sum = 0.4208185593083436331 logp*logq = 38.78244415969228460 -------------- ************************************* p = 281; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72125024578207899.14 -------------- Searches starting with [281,977]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(281,977) = 0.6682305735789484901 D2(281,977) = 0.01814775957367248898 C1(281,977) = 1.150422187530586153 C2(281,977) = 2.045240913103339527 C3(281,977) = 7.313788152154642706 C4(281,977) = 7816 Sum = 4249.940640667348085 Averaged sum = 0.4246119133447245564 logp*logq = 38.81717746051127072 -------------- ************************************* p = 281; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74658300663544585.99 -------------- Searches starting with [281,983]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(281,983) = 1.222381457695173366 D2(281,983) = 0.01752861080418909492 C1(281,983) = 2.104118388708041347 C2(281,983) = 1.096189134919446606 C3(281,983) = 38.06392405866085520 C4(281,983) = 7864 Sum = 2599.996916772427163 Averaged sum = 0.2597659023651141136 logp*logq = 38.85169810713547011 -------------- ************************************* p = 281; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78149441640711719.35 -------------- Searches starting with [281,991]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(281,991) = 0.9870984195703406535 D2(281,991) = 0.01388183918558101337 C1(281,991) = 1.354698361218524133 C2(281,991) = 2.080277019771302849 C3(281,991) = 10.41321685986486575 C4(281,991) = 7928 Sum = 4945.839815519797343 Averaged sum = 0.4941392562213804918 logp*logq = 38.89739930704006533 -------------- ************************************* p = 281; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80854993730464329.72 -------------- Searches starting with [281,997]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(281,997) = 0.5909631989793584734 D2(281,997) = 0.04446223654020701630 C1(281,997) = 0.8406064279794084572 C2(281,997) = 1.597240857072317137 C3(281,997) = 4.279800529248996784 C4(281,997) = 7976 Sum = 4102.366520444095383 Averaged sum = 0.4098677710504641206 logp*logq = 38.93143374440010743 -------------- ************************************* p = 283; q = 293; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84444263883904.36276 -------------- Searches starting with [283,293]-exponents: u = 1, v = 162 n_start has 403 digits starting right neighbors generation We generated 3233 left neighbors We generated 6777 right neighbors We generated 10009 non-negative rho_i D1(283,293) = 0.6152685405243611779 D2(283,293) = 0.004050572603163307841 C1(283,293) = 0.8240852175024115638 C2(283,293) = 1.162231973057541880 C3(283,293) = 4.163547071985725094 C4(283,293) = 2344 Sum = 5006.492491669772859 Averaged sum = 0.5001990700039737096 logp*logq = 32.06711283365349758 -------------- ************************************* p = 283; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109902513722342.1570 -------------- Searches starting with [283,307]-exponents: u = 1, v = 69 n_start has 175 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(283,307) = 0.5909347153964517379 D2(283,307) = 0.004521750102764884912 C1(283,307) = 0.8316873714716299871 C2(283,307) = 1.337554050551250145 C3(283,307) = 4.218693807482604497 C4(283,307) = 2456 Sum = 4205.129094961923763 Averaged sum = 0.4201347881868242345 logp*logq = 32.33061484989130535 -------------- ************************************* p = 283; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118235095039309.3974 -------------- Searches starting with [283,311]-exponents: u = 1, v = 59 n_start has 150 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(283,311) = 0.7140568939041017717 D2(283,311) = 0.01722765608879871478 C1(283,311) = 1.014704629566325289 C2(283,311) = 1.384772976557764905 C3(283,311) = 5.790976094262961386 C4(283,311) = 2488 Sum = 4843.077336384502148 Averaged sum = 0.4838722486146969875 logp*logq = 32.40369608917690161 -------------- ************************************* p = 283; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122592256317557.9136 -------------- Searches starting with [283,313]-exponents: u = 1, v = 56 n_start has 143 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(283,313) = 1.000466194923581338 D2(283,313) = 0.03162800956679429643 C1(283,313) = 1.428771521455605395 C2(283,313) = 1.414113402277287309 C3(283,313) = 11.85782841944246805 C4(283,313) = 2504 Sum = 3516.026671181952966 Averaged sum = 0.3512865092598614213 logp*logq = 32.43988497526258182 -------------- ************************************* p = 283; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131703480678107.3426 -------------- Searches starting with [283,317]-exponents: u = 1, v = 49 n_start has 126 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(283,317) = 0.6334995600906306822 D2(283,317) = 0.01464739650624382865 C1(283,317) = 0.9123756882533584634 C2(283,317) = 1.430805182613430131 C3(283,317) = 4.851000039572768881 C4(283,317) = 2536 Sum = 4486.773641686448178 Averaged sum = 0.4482739176427663281 logp*logq = 32.51157415316763180 -------------- ************************************* p = 283; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168095129488737.1469 -------------- Searches starting with [283,331]-exponents: u = 1, v = 36 n_start has 94 digits starting right neighbors generation We generated 212 left neighbors We generated 9798 right neighbors We generated 10009 non-negative rho_i D1(283,331) = 0.9813999230843881415 D2(283,331) = 0.02418940950688413318 C1(283,331) = 1.451825268779610876 C2(283,331) = 1.532922523785225357 C3(283,331) = 12.34055310272966614 C4(283,331) = 2648 Sum = 2804.636655024984833 Averaged sum = 0.2802114751748411263 logp*logq = 32.75555118203126180 -------------- ************************************* p = 283; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 186037451808904.1003 -------------- Searches starting with [283,337]-exponents: u = 1, v = 32 n_start has 84 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(283,337) = 0.8989525371277321780 D2(283,337) = 0.04649883612945291865 C1(283,337) = 1.236823096092183359 C2(283,337) = 1.586784400260293814 C3(283,337) = 8.505852586113283622 C4(283,337) = 2696 Sum = 4612.156682884830818 Averaged sum = 0.4608009474357908700 logp*logq = 32.85696912318410393 -------------- ************************************* p = 283; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 219429570199014.3306 -------------- Searches starting with [283,347]-exponents: u = 1, v = 27 n_start has 72 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(283,347) = 0.6835683537778450001 D2(283,347) = 0.06294913278729818358 C1(283,347) = 0.9491879137457407735 C2(283,347) = 1.653409505430601468 C3(283,347) = 5.170147894554388225 C4(283,347) = 2776 Sum = 4377.329575240793483 Averaged sum = 0.4373393521071828837 logp*logq = 33.02205243225870983 -------------- ************************************* p = 283; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226665758470715.4776 -------------- Searches starting with [283,349]-exponents: u = 1, v = 26 n_start has 69 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(283,349) = 0.8357225725687504608 D2(283,349) = 0.03318842141099434236 C1(283,349) = 1.269822543524136598 C2(283,349) = 1.637623705509966712 C3(283,349) = 9.005824535478838770 C4(283,349) = 2792 Sum = 4349.894370540593545 Averaged sum = 0.4345982985853325552 logp*logq = 33.05449761867572039 -------------- ************************************* p = 283; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 241727915182178.2241 -------------- Searches starting with [283,353]-exponents: u = 1, v = 25 n_start has 67 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(283,353) = 0.6952537673205374167 D2(283,353) = 0.05754022080892639081 C1(283,353) = 0.9983545532149318588 C2(283,353) = 1.677584973257489409 C3(283,353) = 5.629391423062704894 C4(283,353) = 2824 Sum = 4229.567780300111458 Averaged sum = 0.4225764592167161013 logp*logq = 33.11883389213723255 -------------- ************************************* p = 283; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 265858180342918.4884 -------------- Searches starting with [283,359]-exponents: u = 1, v = 23 n_start has 62 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(283,359) = 0.6486348992115723133 D2(283,359) = 0.01829312273763922781 C1(283,359) = 0.8929569925918214418 C2(283,359) = 1.671469859681909140 C3(283,359) = 4.690663484836175798 C4(283,359) = 2872 Sum = 4434.481334587224497 Averaged sum = 0.4430493890086146965 logp*logq = 33.21398412592615680 -------------- ************************************* p = 283; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 301082889919871.3641 -------------- Searches starting with [283,367]-exponents: u = 1, v = 21 n_start has 57 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(283,367) = 0.5550354038950330045 D2(283,367) = 0.1200804212913808810 C1(283,367) = 0.7680064957742950000 C2(283,367) = 1.793484542398826083 C3(283,367) = 3.778411007268846340 C4(283,367) = 2936 Sum = 4383.921874075437997 Averaged sum = 0.4379979892172482762 logp*logq = 33.33840672456041016 -------------- ************************************* p = 283; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 329948110900223.4034 -------------- Searches starting with [283,373]-exponents: u = 1, v = 20 n_start has 54 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(283,373) = 1.015697774816904563 D2(283,373) = 0.007810668595075106230 C1(283,373) = 1.349751278613826591 C2(283,373) = 1.721467372813348307 C3(283,373) = 10.34202962716577253 C4(283,373) = 2984 Sum = 3805.146111321746407 Averaged sum = 0.3801724559218449802 logp*logq = 33.42995651832932433 -------------- ************************************* p = 283; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 361052808908166.6914 -------------- Searches starting with [283,379]-exponents: u = 1, v = 19 n_start has 52 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(283,379) = 0.9121620128564602257 D2(283,379) = 0.005767482306443098296 C1(283,379) = 1.296220266566452822 C2(283,379) = 1.743109452982552923 C3(283,379) = 9.426850189927493558 C4(283,379) = 3032 Sum = 4396.716927579394689 Averaged sum = 0.4392763440482960025 logp*logq = 33.52004534862698614 -------------- ************************************* p = 283; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 383099428839759.8985 -------------- Searches starting with [283,383]-exponents: u = 1, v = 18 n_start has 49 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(283,383) = 0.8182261605466813604 D2(283,383) = 0.09294784486984067316 C1(283,383) = 1.165550065474885914 C2(283,383) = 1.831899234490408115 C3(283,383) = 7.518687488098853933 C4(283,383) = 3064 Sum = 4695.441582770460745 Averaged sum = 0.4691219485233750370 logp*logq = 33.57931567674330637 -------------- ************************************* p = 283; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 418237472966274.7567 -------------- Searches starting with [283,389]-exponents: u = 1, v = 17 n_start has 47 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(283,389) = 0.8563201318426696311 D2(283,389) = 0.06531357281114428809 C1(283,389) = 1.199612600617360975 C2(283,389) = 1.829807397037465084 C3(283,389) = 7.975295519909445106 C4(283,389) = 3112 Sum = 4850.121761489768765 Averaged sum = 0.4845760576970495319 logp*logq = 33.66707050428005299 -------------- ************************************* p = 283; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 469173856337799.9366 -------------- Searches starting with [283,397]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(283,397) = 0.7766340521667490716 D2(283,397) = 0.05958962239905577456 C1(283,397) = 1.115211168498167600 C2(283,397) = 1.852595380680843435 C3(283,397) = 6.891319243360472952 C4(283,397) = 3176 Sum = 4058.572337452043634 Averaged sum = 0.4054922906835891332 logp*logq = 33.78199451150031310 -------------- ************************************* p = 283; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 496493220322566.8637 -------------- Searches starting with [283,401]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(283,401) = 0.9722482648747893102 D2(283,401) = 0.1378612451635208120 C1(283,401) = 1.350039931422661821 C2(283,401) = 1.410217655743879294 C3(283,401) = 10.34719794641188071 C4(283,401) = 3208 Sum = 4409.261674337291182 Averaged sum = 0.4405296907120882388 logp*logq = 33.83859094438110359 -------------- ************************************* p = 283; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 555066793449844.1823 -------------- Searches starting with [283,409]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(283,409) = 0.9816799930831798021 D2(283,409) = 0.1035760095719844092 C1(283,409) = 1.418272656420287773 C2(283,409) = 1.929196141580072758 C3(283,409) = 11.64429454861786698 C4(283,409) = 3272 Sum = 4262.443283254675913 Averaged sum = 0.4258610533774279061 logp*logq = 33.95010957099195377 -------------- ************************************* p = 283; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 636165364943148.5161 -------------- Searches starting with [283,419]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(283,419) = 0.5905469572250146507 D2(283,419) = 0.07441242974202180258 C1(283,419) = 0.8258585618102256299 C2(283,419) = 1.934900844492209094 C3(283,419) = 4.176346262305650600 C4(283,419) = 3352 Sum = 4315.256051778298959 Averaged sum = 0.4311375813546107462 logp*logq = 34.08647965324475368 -------------- ************************************* p = 283; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 653499435060303.8652 -------------- Searches starting with [283,421]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(283,421) = 0.5934401051308955375 D2(283,421) = 0.1097834749905332075 C1(283,421) = 0.8306217302010693596 C2(283,421) = 1.971027007025805870 C3(283,421) = 4.210919748157046710 C4(283,421) = 3368 Sum = 4347.402636941605427 Averaged sum = 0.4343493492798087148 logp*logq = 34.11336278450936605 -------------- ************************************* p = 283; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 746107716682662.8842 -------------- Searches starting with [283,431]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(283,431) = 0.5856746989255773019 D2(283,431) = 0.04697048088828028334 C1(283,431) = 0.8053254480136471795 C2(283,431) = 1.946752239675816801 C3(283,431) = 4.030526600245792115 C4(283,431) = 3448 Sum = 4307.297812699397070 Averaged sum = 0.4303424730441999271 logp*logq = 34.24589109804474832 -------------- ************************************* p = 283; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 765865339300695.8883 -------------- Searches starting with [283,433]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(283,433) = 0.5480567277586684347 D2(283,433) = 0.07680787292783088440 C1(283,433) = 0.7826898659200495303 C2(283,433) = 1.977331235159547403 C3(283,433) = 3.875668851097453965 C4(283,433) = 3464 Sum = 4333.957300683558911 Averaged sum = 0.4330060246461743342 logp*logq = 34.27202747295741323 -------------- ************************************* p = 283; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 827738447092275.1243 -------------- Searches starting with [283,439]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(283,439) = 0.9010661417375979867 D2(283,439) = 0.1204691750770795199 C1(283,439) = 1.241986449333443532 C2(283,439) = 1.771775882517148487 C3(283,439) = 8.582209971459940616 C4(283,439) = 3512 Sum = 4303.582640917067348 Averaged sum = 0.4299712899307690427 logp*logq = 34.34971833525732627 -------------- ************************************* p = 283; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 871227762386099.4303 -------------- Searches starting with [283,443]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(283,443) = 0.9075062731850491231 D2(283,443) = 0.1153316030297551309 C1(283,443) = 1.279766916655903804 C2(283,443) = 1.768235317473086011 C3(283,443) = 9.162176416384375532 C4(283,443) = 3544 Sum = 4566.128636663675654 Averaged sum = 0.4562022816129159411 logp*logq = 34.40092455387392788 -------------- ************************************* p = 283; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 939974079150663.5643 -------------- Searches starting with [283,449]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(283,449) = 1.219679441114796316 D2(283,449) = 0.06369139285604072096 C1(283,449) = 1.629797701041357385 C2(283,449) = 2.009451609749496250 C3(283,449) = 16.79253277882380738 C4(283,449) = 3592 Sum = 3935.909864994385983 Averaged sum = 0.3932370731336183418 logp*logq = 34.47687341544075573 -------------- ************************************* p = 283; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1038521901080624.335 -------------- Searches starting with [283,457]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(283,457) = 0.7110850419193772064 D2(283,457) = 0.1000856848801815807 C1(283,457) = 0.9704744355674511278 C2(283,457) = 1.788263411164651826 C3(283,457) = 5.364188235134608918 C4(283,457) = 3656 Sum = 4361.505800283653259 Averaged sum = 0.4357583974706417483 logp*logq = 34.57657484817075277 -------------- ************************************* p = 283; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1090892925879279.425 -------------- Searches starting with [283,461]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(283,461) = 0.8259081055114624014 D2(283,461) = 0.09539559399791671305 C1(283,461) = 1.145187752381613925 C2(283,461) = 1.785131724890449402 C3(283,461) = 7.258313415664894213 C4(283,461) = 3688 Sum = 4355.249536776348362 Averaged sum = 0.4351333336773252434 logp*logq = 34.62577295384653435 -------------- ************************************* p = 283; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1117881930262062.380 -------------- Searches starting with [283,463]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(283,463) = 0.6950631463290998235 D2(283,463) = 0.08565777243988633180 C1(283,463) = 1.068811519503496551 C2(283,463) = 1.641193331126960035 C3(283,463) = 6.359512579989772326 C4(283,463) = 3704 Sum = 3919.978522336886758 Averaged sum = 0.3916453713994291895 logp*logq = 34.65021215607209829 -------------- ************************************* p = 283; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1173509749925739.802 -------------- Searches starting with [283,467]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(283,467) = 0.7010193588649723013 D2(283,467) = 0.02827165997554399832 C1(283,467) = 0.9483773488786446225 C2(283,467) = 2.025574168645427733 C3(283,467) = 5.162899440339391973 C4(283,467) = 3736 Sum = 4164.437561248616529 Averaged sum = 0.4160692937604772234 logp*logq = 34.69877543960074001 -------------- ************************************* p = 283; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1354228061828512.458 -------------- Searches starting with [283,479]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(283,479) = 0.9443701184109702059 D2(283,479) = 0.07704643338543545161 C1(283,479) = 1.280713004628058870 C2(283,479) = 1.807689722197301602 C3(283,479) = 9.177192098931579562 C4(283,479) = 3832 Sum = 4272.309758994106524 Averaged sum = 0.4268468137670203341 logp*logq = 34.84200799083636768 -------------- ************************************* p = 283; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1486969417281934.835 -------------- Searches starting with [283,487]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(283,487) = 1.248750906639098884 D2(283,487) = 0.06303999330181315729 C1(283,487) = 1.783347376858171201 C2(283,487) = 1.655320076847895580 C3(283,487) = 21.90479731884034438 C4(283,487) = 3896 Sum = 5153.053002190669363 Averaged sum = 0.5148419424708431774 logp*logq = 34.93551649545355693 -------------- ************************************* p = 283; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1557247566976972.623 -------------- Searches starting with [283,491]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(283,491) = 0.8478636219979420834 D2(283,491) = 0.003331236433228177975 C1(283,491) = 1.233378285480735444 C2(283,491) = 2.061394825667258496 C3(283,491) = 8.455287775106483582 C4(283,491) = 3928 Sum = 3634.256969107173397 Averaged sum = 0.3630989078936130879 logp*logq = 34.98169627767723366 -------------- ************************************* p = 283; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1706017001329570.956 -------------- Searches starting with [283,499]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(283,499) = 0.8794424015373031855 D2(283,499) = 0.04601669910722827213 C1(283,499) = 1.514241734270970293 C2(283,499) = 1.196590696913158148 C3(283,499) = 13.74842591777313212 C4(283,499) = 3992 Sum = 4210.886764754071322 Averaged sum = 0.4207100374417095935 logp*logq = 35.07293780953987792 -------------- ************************************* p = 283; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1784672780871712.188 -------------- Searches starting with [283,503]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(283,503) = 0.6383160699974912768 D2(283,503) = 0.05397472781465819217 C1(283,503) = 0.8694942271960496318 C2(283,503) = 1.832995880080511542 C3(283,503) = 4.503989357484064901 C4(283,503) = 4024 Sum = 4130.857773429771327 Averaged sum = 0.4127143344419793512 logp*logq = 35.11801147729959253 -------------- ************************************* p = 283; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1908233461556625.734 -------------- Searches starting with [283,509]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(283,509) = 0.6230283572591916792 D2(283,509) = 0.04819818701374742756 C1(283,509) = 0.8418871182002923542 C2(283,509) = 1.829420124434123149 C3(283,509) = 4.293832887203851540 C4(283,509) = 4072 Sum = 4274.539092215754287 Averaged sum = 0.4270695466296087808 logp*logq = 35.18495431975789832 -------------- ************************************* p = 283; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2176522175877720.558 -------------- Searches starting with [283,521]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(283,521) = 1.371566580615671285 D2(283,521) = 0.03212357074465613428 C1(283,521) = 2.010836985323257469 C2(283,521) = 1.578271825740316344 C3(283,521) = 32.47452422787877532 C4(283,521) = 4168 Sum = 6159.729141109553523 Averaged sum = 0.6154190369776754444 logp*logq = 35.31650466564809950 -------------- ************************************* p = 283; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2224113394757065.289 -------------- Searches starting with [283,523]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(283,523) = 0.6644730727037681225 D2(283,523) = 0.02838489592526546093 C1(283,523) = 0.9569842115552411838 C2(283,523) = 1.464615764850333835 C3(283,523) = 5.240387843312608568 C4(283,523) = 4184 Sum = 3440.883757227038429 Averaged sum = 0.3437789746455228723 logp*logq = 35.33813475685043431 -------------- ************************************* p = 283; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2692278735061165.480 -------------- Searches starting with [283,541]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(283,541) = 0.8068616881745510983 D2(283,541) = 0.02031601712278859299 C1(283,541) = 1.137837748734070405 C2(283,541) = 1.859521620474418992 C3(283,541) = 7.166559843785982127 C4(283,541) = 4328 Sum = 4359.778576064435127 Averaged sum = 0.4355858303591203045 logp*logq = 35.52916434333201091 -------------- ************************************* p = 283; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2865246938993290.371 -------------- Searches starting with [283,547]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(283,547) = 0.6412786085952718767 D2(283,547) = 0.01526334876625536812 C1(283,547) = 0.9052590634526090962 C2(283,547) = 1.856562677275669918 C3(283,547) = 4.791612875303317747 C4(283,547) = 4376 Sum = 3890.137915400044486 Averaged sum = 0.3886639939454535404 logp*logq = 35.59143093298379855 -------------- ************************************* p = 283; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3173801002404161.464 -------------- Searches starting with [283,557]-exponents: u = 19, v = 8 n_start has 69 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(283,557) = 0.9436021595650779983 D2(283,557) = 0.006488167615483349280 C1(283,557) = 1.433745901337725702 C2(283,557) = 1.693235294854615301 C3(283,557) = 11.96036393993139068 C4(283,557) = 4456 Sum = 4110.744267253112105 Averaged sum = 0.4107047924121402843 logp*logq = 35.69370631889445793 -------------- ************************************* p = 283; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3371701232246837.774 -------------- Searches starting with [283,563]-exponents: u = 37, v = 8 n_start has 113 digits starting right neighbors generation We generated 566 left neighbors We generated 9444 right neighbors We generated 10009 non-negative rho_i D1(283,563) = 0.6534945549145183734 D2(283,563) = 0.001934188049217194468 C1(283,563) = 0.9489336420032593724 C2(283,563) = 1.528755539169525652 C3(283,563) = 5.167872981653638788 C4(283,563) = 4504 Sum = 4096.036107784136883 Averaged sum = 0.4092352990093053135 logp*logq = 35.75419382858833270 -------------- ************************************* p = 283; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3579645313086098.569 -------------- Searches starting with [283,569]-exponents: u = 109, v = 8 n_start has 290 digits --- performed 5000 steps in the continued fraction search [283,569]-exponents: u = 20, v = 14 --- starting right neighbors generation We generated 6162 left neighbors We generated 3848 right neighbors We generated 10009 non-negative rho_i D1(283,569) = 0.9212998482703673833 D2(283,569) = 0.02173374045186521758 C1(283,569) = 1.261208824138085544 C2(283,569) = 1.711881224586840028 C3(283,569) = 8.872552191594647477 C4(283,569) = 4552 Sum = 4444.475980165243363 Averaged sum = 0.4440479548571528987 logp*logq = 35.81404011585813039 -------------- ************************************* p = 283; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3651260048824101.886 -------------- Searches starting with [283,571]-exponents: u = 208, v = 8 n_start has 533 digits --- performed 5000 steps in the continued fraction search [283,571]-exponents: u = 51, v = 122 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(283,571) = 0.6024239450909723366 D2(283,571) = 0.2033302369685385892 C1(283,571) = 0.7977771369776116121 C2(283,571) = 1.440487224552253504 C3(283,571) = 3.978210313228621262 C4(283,571) = 4568 Sum = 4938.457474887699225 Averaged sum = 0.4938951370024701694 logp*logq = 35.83384872178668487 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(283,571) = 0.6024239450909723366 D2(283,571) = 0.2033302369685385892 C1(283,571) = 0.7977771369776116121 C2(283,571) = 1.440487224552253504 C3(283,571) = 3.978210313228621262 C4(283,571) = 4568 Sum = 4938.457474887699225 Averaged sum = 0.4938951370024701694 logp*logq = 35.83384872178668487 -------------- ************************************* p = 283; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3873213422587310.464 -------------- Searches starting with [283,577]-exponents: u = 9, v = 103 n_start has 307 digits starting right neighbors generation We generated 2785 left neighbors We generated 7225 right neighbors We generated 10009 non-negative rho_i D1(283,577) = 0.6562615549001586847 D2(283,577) = 0.01072693157976109472 C1(283,577) = 0.8952167419697002676 C2(283,577) = 1.300607679374365325 C3(283,577) = 4.709045936241206714 C4(283,577) = 4616 Sum = 4156.219750480077436 Averaged sum = 0.4152482516215483501 logp*logq = 35.89286089916320105 -------------- ************************************* p = 283; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4267754013000314.802 -------------- Searches starting with [283,587]-exponents: u = 9, v = 23 n_start has 86 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(283,587) = 0.6301583437752110436 D2(283,587) = 0.06471264501885301042 C1(283,587) = 0.9369381999455171531 C2(283,587) = 1.683858269626209542 C3(283,587) = 5.061682232678413917 C4(283,587) = 4696 Sum = 3974.106036318996072 Averaged sum = 0.3970532557017680160 logp*logq = 35.98986409149716699 -------------- ************************************* p = 283; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4519943599411579.291 -------------- Searches starting with [283,593]-exponents: u = 9, v = 15 n_start has 64 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(283,593) = 0.5407031121189043381 D2(283,593) = 0.1057288433945800377 C1(283,593) = 0.7617409518259061628 C2(283,593) = 1.832506864093124675 C3(283,593) = 3.737656609559755532 C4(283,593) = 4744 Sum = 4257.663204254394430 Averaged sum = 0.4253834752976715386 logp*logq = 36.04727591067068635 -------------- ************************************* p = 283; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4784269524463978.364 -------------- Searches starting with [283,599]-exponents: u = 9, v = 15 n_start has 64 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(283,599) = 0.8351450288923118405 D2(283,599) = 0.1262813556852529116 C1(283,599) = 1.125598630550700297 C2(283,599) = 1.371619107275563865 C3(283,599) = 7.016339693994079732 C4(283,599) = 4792 Sum = 4208.794842227445609 Averaged sum = 0.4205010332927810579 logp*logq = 36.10410974869779745 -------------- ************************************* p = 283; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4875153189956094.737 -------------- Searches starting with [283,601]-exponents: u = 17, v = 7 n_start has 62 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(283,601) = 1.108618045634812275 D2(283,601) = 0.1005277513925742404 C1(283,601) = 1.785888199119887791 C2(283,601) = 1.175864849050916355 C3(283,601) = 22.00134194674467198 C4(283,601) = 4808 Sum = 3103.743953257620407 Averaged sum = 0.3100953095471695880 logp*logq = 36.12292792244752277 -------------- ************************************* p = 283; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5156368677268575.579 -------------- Searches starting with [283,607]-exponents: u = 17, v = 7 n_start has 62 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(283,607) = 0.9121454870942871564 D2(283,607) = 0.1111292940600572336 C1(283,607) = 1.334544092409395030 C2(283,607) = 1.858310997904783907 C3(283,607) = 10.07336478237297984 C4(283,607) = 4856 Sum = 4452.339832519747161 Averaged sum = 0.4448336329822906545 logp*logq = 36.17900898194421264 -------------- ************************************* p = 283; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5450798003475936.288 -------------- Searches starting with [283,613]-exponents: u = 25, v = 7 n_start has 81 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(283,613) = 0.5599562327214975665 D2(283,613) = 0.06979696461478179252 C1(283,613) = 0.7792930898333408288 C2(283,613) = 1.818838405211845770 C3(283,613) = 3.852949453905708184 C4(283,613) = 4904 Sum = 3968.780663855277069 Averaged sum = 0.3965211973079505514 logp*logq = 36.23453841552322225 -------------- ************************************* p = 283; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5654662939766936.724 -------------- Searches starting with [283,617]-exponents: u = 33, v = 7 n_start has 101 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(283,617) = 0.7328932580784818933 D2(283,617) = 0.04493390008292781517 C1(283,617) = 1.095691795035756719 C2(283,617) = 1.795204928607344296 C3(283,617) = 6.662384435259819991 C4(283,617) = 4936 Sum = 3168.965496810338088 Averaged sum = 0.3166115992417162642 logp*logq = 36.27125689877080795 -------------- ************************************* p = 283; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5758923555346541.549 -------------- Searches starting with [283,619]-exponents: u = 33, v = 7 n_start has 101 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(283,619) = 0.6789877496208437378 D2(283,619) = 0.03316287596414463482 C1(283,619) = 0.9266679020601680938 C2(283,619) = 1.784045667597280758 C3(283,619) = 4.972499079172849844 C4(283,619) = 4952 Sum = 4222.612702923908968 Averaged sum = 0.4218815768732050123 logp*logq = 36.28952696940139109 -------------- ************************************* p = 283; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6418256354428805.135 -------------- Searches starting with [283,631]-exponents: u = 193, v = 7 n_start has 493 digits --- performed 5000 steps in the continued fraction search [283,631]-exponents: u = 41, v = 112 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(283,631) = 0.5350064765991291279 D2(283,631) = 0.1495500328724199976 C1(283,631) = 0.7109650804987795469 C2(283,631) = 1.434660856312628064 C3(283,631) = 3.423192022166077306 C4(283,631) = 5048 Sum = 4876.631806113177899 Averaged sum = 0.4877119518064984397 logp*logq = 36.39792287984035006 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(283,631) = 0.5350064765991291279 D2(283,631) = 0.1495500328724199976 C1(283,631) = 0.7109650804987795469 C2(283,631) = 1.434660856312628064 C3(283,631) = 3.423192022166077306 C4(283,631) = 5048 Sum = 4876.631806113177899 Averaged sum = 0.4877119518064984397 logp*logq = 36.39792287984035006 -------------- ************************************* p = 283; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7014035423040830.166 -------------- Searches starting with [283,641]-exponents: u = 8, v = 69 n_start has 214 digits starting right neighbors generation We generated 3178 left neighbors We generated 6832 right neighbors We generated 10009 non-negative rho_i D1(283,641) = 0.5319054805391610282 D2(283,641) = 0.01230639005067333090 C1(283,641) = 0.7380557722346332008 C2(283,641) = 1.690742112112731939 C3(283,641) = 3.587527914464135593 C4(283,641) = 5128 Sum = 4359.858215379614769 Averaged sum = 0.4355937871295448865 logp*logq = 36.48668959694965557 -------------- ************************************* p = 283; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7138482924740083.349 -------------- Searches starting with [283,643]-exponents: u = 8, v = 55 n_start has 175 digits starting right neighbors generation We generated 2058 left neighbors We generated 7952 right neighbors We generated 10009 non-negative rho_i D1(283,643) = 0.6245405625732109315 D2(283,643) = 0.02910287501239181574 C1(283,643) = 0.8854551088830382625 C2(283,643) = 1.708030417405144843 C3(283,643) = 4.630150670566330769 C4(283,643) = 5144 Sum = 3685.898044142831657 Averaged sum = 0.3682583718795915333 logp*logq = 36.50427667315945663 -------------- ************************************* p = 283; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7392832234603619.694 -------------- Searches starting with [283,647]-exponents: u = 8, v = 34 n_start has 116 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(283,647) = 0.6244369855084677094 D2(283,647) = 0.003303772150986583461 C1(283,647) = 0.9051551473670947273 C2(283,647) = 1.549148792889600174 C3(283,647) = 4.790751118505691669 C4(283,647) = 5176 Sum = 4058.480255367504817 Averaged sum = 0.4054830907550709179 logp*logq = 36.53928730876281391 -------------- ************************************* p = 283; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7788303846089550.497 -------------- Searches starting with [283,653]-exponents: u = 8, v = 27 n_start has 96 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(283,653) = 0.9813792922478338054 D2(283,653) = 0.02500306146671714830 C1(283,653) = 1.476033857378127192 C2(283,653) = 1.629473133242454390 C3(283,653) = 12.86862604539292662 C4(283,653) = 5224 Sum = 3248.798805560665873 Averaged sum = 0.3245877515796449069 logp*logq = 36.59139949630898987 -------------- ************************************* p = 283; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8201020899062775.177 -------------- Searches starting with [283,659]-exponents: u = 8, v = 20 n_start has 76 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(283,659) = 0.7252156127819687091 D2(283,659) = 0.05007213846794300215 C1(283,659) = 0.9589383263803549216 C2(283,659) = 1.733430640941233125 C3(283,659) = 5.258142302244121902 C4(283,659) = 5272 Sum = 3875.096253619447810 Averaged sum = 0.3871611802996750735 logp*logq = 36.64303504131712941 -------------- ************************************* p = 283; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8342526217978296.129 -------------- Searches starting with [283,661]-exponents: u = 8, v = 13 n_start has 57 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(283,661) = 0.7347309990848020780 D2(283,661) = 0.06233067166174535350 C1(283,661) = 0.9701159000737800726 C2(283,661) = 1.861171850731898260 C3(283,661) = 5.360860408534358734 C4(283,661) = 5288 Sum = 3907.173138712180497 Averaged sum = 0.3903659844851813864 logp*logq = 36.66014246924956408 -------------- ************************************* p = 283; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9234404000863948.181 -------------- Searches starting with [283,673]-exponents: u = 8, v = 13 n_start has 57 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(283,673) = 0.7942735803955023688 D2(283,673) = 0.09119812284117744265 C1(283,673) = 1.301997517076666473 C2(283,673) = 1.288980024722059218 C3(283,673) = 9.521587328093548209 C4(283,673) = 5384 Sum = 3986.879667790252489 Averaged sum = 0.3983294702557950333 logp*logq = 36.76171246948567030 -------------- ************************************* p = 283; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9548563006147805.559 -------------- Searches starting with [283,677]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(283,677) = 0.6785388605618793237 D2(283,677) = 0.1009347416512535658 C1(283,677) = 1.112226741624117214 C2(283,677) = 1.389595946440942412 C3(283,677) = 6.855813274160016190 C4(283,677) = 5416 Sum = 4224.927875870262144 Averaged sum = 0.4221128859896355424 logp*logq = 36.79516706752105440 -------------- ************************************* p = 283; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10036252248331139.63 -------------- Searches starting with [283,683]-exponents: u = 15, v = 6 n_start has 54 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(283,683) = 0.6315271144131892559 D2(283,683) = 0.08016759460114424976 C1(283,683) = 0.9342554437466582139 C2(283,683) = 1.905184956786886853 C3(283,683) = 5.038233064856195203 C4(283,683) = 5464 Sum = 3870.608759557915309 Averaged sum = 0.3867128344048271864 logp*logq = 36.84498015744845457 -------------- ************************************* p = 283; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10718216703683057.37 -------------- Searches starting with [283,691]-exponents: u = 22, v = 6 n_start has 71 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(283,691) = 0.7639055314028729211 D2(283,691) = 0.03993638789451370694 C1(283,691) = 1.191659410940941626 C2(283,691) = 1.867221244663272387 C3(283,691) = 7.866261599898658645 C4(283,691) = 5528 Sum = 3605.492251774912854 Averaged sum = 0.3602250226570998954 logp*logq = 36.91072118444689640 -------------- ************************************* p = 283; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11623848905994955.53 -------------- Searches starting with [283,701]-exponents: u = 29, v = 6 n_start has 89 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(283,701) = 0.7265434244317721672 D2(283,701) = 0.08576139692154353082 C1(283,701) = 1.027796832809481391 C2(283,701) = 1.805486839714113532 C3(283,701) = 5.923701410488752218 C4(283,701) = 5608 Sum = 4184.710844904099055 Averaged sum = 0.4180947991711558652 logp*logq = 36.99183532264227277 -------------- ************************************* p = 283; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12392871446166714.80 -------------- Searches starting with [283,709]-exponents: u = 43, v = 6 n_start has 123 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(283,709) = 0.6406675295815932268 D2(283,709) = 0.01823841851967334837 C1(283,709) = 0.9241335658870313195 C2(283,709) = 1.740096024190936692 C3(283,709) = 4.950734712900670124 C4(283,709) = 5672 Sum = 4188.230092206216516 Averaged sum = 0.4184464074539131298 logp*logq = 37.05589781883921920 -------------- ************************************* p = 283; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13412546839296314.55 -------------- Searches starting with [283,719]-exponents: u = 127, v = 6 n_start has 329 digits --- performed 5000 steps in the continued fraction search [283,719]-exponents: u = 9, v = 56 --- starting right neighbors generation We generated 7073 left neighbors We generated 2937 right neighbors We generated 10009 non-negative rho_i D1(283,719) = 0.6362502581370802508 D2(283,719) = 0.005592995980541962353 C1(283,719) = 0.8635852750072621397 C2(283,719) = 1.551977669994543968 C3(283,719) = 4.458159540609295117 C4(283,719) = 5752 Sum = 4499.098922232817831 Averaged sum = 0.4495053374196041393 logp*logq = 37.13496699507361794 -------------- ************************************* p = 283; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14277118437817881.56 -------------- Searches starting with [283,727]-exponents: u = 7, v = 365 n_start has 1062 digits --- performed 5000 steps in the continued fraction search [283,727]-exponents: u = 76, v = 294 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(283,727) = 0.7850453151354164711 D2(283,727) = 0.3508294365709201785 C1(283,727) = 1.009474913207332120 C2(283,727) = 1.469822645978316439 C3(283,727) = 5.738793570757269367 C4(283,727) = 5816 Sum = 5351.817204138855332 Averaged sum = 0.5352352439382793611 logp*logq = 37.19743454139099253 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(283,727) = 0.7850453151354164711 D2(283,727) = 0.3508294365709201785 C1(283,727) = 1.009474913207332120 C2(283,727) = 1.469822645978316439 C3(283,727) = 5.738793570757269367 C4(283,727) = 5816 Sum = 5351.817204138855332 Averaged sum = 0.5352352439382793611 logp*logq = 37.19743454139099253 -------------- ************************************* p = 283; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14955204122544253.27 -------------- Searches starting with [283,733]-exponents: u = 7, v = 83 n_start has 255 digits starting right neighbors generation We generated 4262 left neighbors We generated 5748 right neighbors We generated 10009 non-negative rho_i D1(283,733) = 0.6161473014568428232 D2(283,733) = 0.0001604470361461840833 C1(283,733) = 0.8457701274524297954 C2(283,733) = 1.610750437503725642 C3(283,733) = 4.322788521218374011 C4(283,733) = 5864 Sum = 4453.787759977245484 Averaged sum = 0.4449782955317459770 logp*logq = 37.24383573601641604 -------------- ************************************* p = 283; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15659570457619274.71 -------------- Searches starting with [283,739]-exponents: u = 7, v = 47 n_start has 152 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(283,739) = 0.6738558944596102433 D2(283,739) = 0.02977968667478341059 C1(283,739) = 0.9187740895124518600 C2(283,739) = 1.703642234083119319 C3(283,739) = 4.905021842685824726 C4(283,739) = 5912 Sum = 4168.090828022706160 Averaged sum = 0.4164342919395250434 logp*logq = 37.28985865582635315 -------------- ************************************* p = 283; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16144139135925770.29 -------------- Searches starting with [283,743]-exponents: u = 7, v = 35 n_start has 118 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(283,743) = 0.5514932873310298019 D2(283,743) = 0.008178813359736624239 C1(283,743) = 0.7641559352013364198 C2(283,743) = 1.767638298062766105 C3(283,743) = 3.753312609180880924 C4(283,743) = 5944 Sum = 4258.646816457656370 Averaged sum = 0.4254817480725003866 logp*logq = 37.32033347691429514 -------------- ************************************* p = 283; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17150333163708245.23 -------------- Searches starting with [283,751]-exponents: u = 7, v = 23 n_start has 84 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(283,751) = 0.6527106925005350544 D2(283,751) = 0.06025314514603443247 C1(283,751) = 0.9007946684669069470 C2(283,751) = 1.821443678859184377 C3(283,751) = 4.754729832003783971 C4(283,751) = 6008 Sum = 4321.804987743423543 Averaged sum = 0.4317918860768731685 logp*logq = 37.38079399478923431 -------------- ************************************* p = 283; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17938366833375910.07 -------------- Searches starting with [283,757]-exponents: u = 7, v = 17 n_start has 67 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(283,757) = 0.6212407299318886876 D2(283,757) = 0.1045641420078045119 C1(283,757) = 0.8428550142118946027 C2(283,757) = 1.867040694513602181 C3(283,757) = 4.301032297820638061 C4(283,757) = 6056 Sum = 4094.417582505247455 Averaged sum = 0.4090735920177088076 logp*logq = 37.42571821246852565 -------------- ************************************* p = 283; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18480089554599459.07 -------------- Searches starting with [283,761]-exponents: u = 7, v = 17 n_start has 67 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(283,761) = 0.5919940413613810835 D2(283,761) = 0.1376151827625249763 C1(283,761) = 0.8083404953329160000 C2(283,761) = 1.900943332588137494 C3(283,761) = 4.051615255741006818 C4(283,761) = 6088 Sum = 4112.561443066222276 Averaged sum = 0.4108863465946870093 logp*logq = 37.45547030714059066 -------------- ************************************* p = 283; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19603964250075189.71 -------------- Searches starting with [283,769]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(283,769) = 0.7730305972920728253 D2(283,769) = 0.02040879535446686504 C1(283,769) = 1.056062700656171771 C2(283,769) = 1.913588827334398573 C3(283,769) = 6.220718727294557200 C4(283,769) = 6152 Sum = 4151.032150081201196 Averaged sum = 0.4147299580458788286 logp*logq = 37.51450819835273193 -------------- ************************************* p = 283; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20186636546929167.71 -------------- Searches starting with [283,773]-exponents: u = 7, v = 11 n_start has 49 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(283,773) = 0.6210146570450391038 D2(283,773) = 0.03239126644008718802 C1(283,773) = 0.8388459471008911739 C2(283,773) = 1.926484593803536469 C3(283,773) = 4.271290352618431341 C4(283,773) = 6184 Sum = 4203.975251794126584 Averaged sum = 0.4200195076225523613 logp*logq = 37.54379722330968325 -------------- ************************************* p = 283; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22339403289887811.40 -------------- Searches starting with [283,787]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(283,787) = 0.7429633792070370970 D2(283,787) = 0.06607292966119557602 C1(283,787) = 1.244428687777735499 C2(283,787) = 1.335908321542071860 C3(283,787) = 8.618565018248301266 C4(283,787) = 6296 Sum = 4107.224464508037016 Averaged sum = 0.4103531286350321726 logp*logq = 37.64512847780502951 -------------- ************************************* p = 283; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23989924388898718.49 -------------- Searches starting with [283,797]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(283,797) = 0.6164485310061060623 D2(283,797) = 0.05948125916387067265 C1(283,797) = 0.8667557501826492969 C2(283,797) = 1.985553661948649653 C3(283,797) = 4.482691452758362370 C4(283,797) = 6376 Sum = 4265.904087035002626 Averaged sum = 0.4262068225631933886 logp*logq = 37.71641031998152830 -------------- ************************************* p = 283; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26101709979543058.56 -------------- Searches starting with [283,809]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(283,809) = 1.141020635449075774 D2(283,809) = 0.01634359579477214324 C1(283,809) = 1.643315249390544409 C2(283,809) = 1.945433400155341550 C3(283,809) = 17.19005725453167754 C4(283,809) = 6472 Sum = 4610.642613791688409 Averaged sum = 0.4606496766701656918 logp*logq = 37.80077722355081207 -------------- ************************************* p = 283; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26468099377684852.25 -------------- Searches starting with [283,811]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(283,811) = 0.6847168787004479740 D2(283,811) = 0.009631588963506982374 C1(283,811) = 0.9636725335277099806 C2(283,811) = 1.939219874063790659 C3(283,811) = 5.301405580727146179 C4(283,811) = 6488 Sum = 3901.472641807432905 Averaged sum = 0.3897964473781029978 logp*logq = 37.81471660568866399 -------------- ************************************* p = 283; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28364134430618066.42 -------------- Searches starting with [283,821]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(283,821) = 0.8874997708017825439 D2(283,821) = 0.1309434736206072437 C1(283,821) = 1.258265911271041604 C2(283,821) = 1.941210158793269448 C3(283,821) = 8.827472636947555143 C4(283,821) = 6568 Sum = 4168.897364223880943 Averaged sum = 0.4165148730366551047 logp*logq = 37.88390186982146322 -------------- ************************************* p = 283; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28756429074208615.79 -------------- Searches starting with [283,823]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(283,823) = 0.7049483712343191616 D2(283,823) = 0.1154060649563528133 C1(283,823) = 1.027391453560863896 C2(283,823) = 1.926145586197208168 C3(283,823) = 5.919546500761464194 C4(283,823) = 6584 Sum = 3664.215627242975452 Averaged sum = 0.3660920798524303579 logp*logq = 37.89763775712729907 -------------- ************************************* p = 283; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29554419111276390.38 -------------- Searches starting with [283,827]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(283,827) = 0.5546085722111041501 D2(283,827) = 0.08649110622020035121 C1(283,827) = 0.8528728042524983966 C2(283,827) = 1.898172824560808198 C3(283,827) = 4.376259432388396758 C4(283,827) = 6616 Sum = 4189.422199969833002 Averaged sum = 0.4185655110370499552 logp*logq = 37.92500967449467421 -------------- ************************************* p = 283; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29960193923570593.19 -------------- Searches starting with [283,829]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(283,829) = 0.9001376650320372405 D2(283,829) = 0.07295988954159275044 C1(283,829) = 1.384170724271743462 C2(283,829) = 1.885110980174382847 C3(283,829) = 10.97687749237773449 C4(283,829) = 6632 Sum = 3886.396423345097963 Averaged sum = 0.3882901811714554863 logp*logq = 37.93864602628810808 -------------- ************************************* p = 283; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32058477346901459.72 -------------- Searches starting with [283,839]-exponents: u = 31, v = 5 n_start has 91 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(283,839) = 0.6852384173637310583 D2(283,839) = 0.01239289444376987437 C1(283,839) = 1.030622487400336229 C2(283,839) = 1.826873805522818975 C3(283,839) = 5.952743907729359283 C4(283,839) = 6712 Sum = 3516.666240742692390 Averaged sum = 0.3513504087064334489 logp*logq = 38.00633804710587817 -------------- ************************************* p = 283; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35197929343900522.40 -------------- Searches starting with [283,853]-exponents: u = 49, v = 5 n_start has 135 digits starting right neighbors generation We generated 940 left neighbors We generated 9070 right neighbors We generated 10009 non-negative rho_i D1(283,853) = 0.6513421264138091241 D2(283,853) = 0.04226617067903649632 C1(283,853) = 0.8940811912502224963 C2(283,853) = 1.714292385972821870 C3(283,853) = 4.699799550443450478 C4(283,853) = 6824 Sum = 4334.805799488657792 Averaged sum = 0.4330907982304583666 logp*logq = 38.09976365032708007 -------------- ************************************* p = 283; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36139944557642223.45 -------------- Searches starting with [283,857]-exponents: u = 61, v = 5 n_start has 165 digits starting right neighbors generation We generated 1562 left neighbors We generated 8448 right neighbors We generated 10009 non-negative rho_i D1(283,857) = 1.113718884393039852 D2(283,857) = 0.002707891638603173990 C1(283,857) = 1.511012288398983645 C2(283,857) = 1.675589977839618909 C3(283,857) = 13.67179093912680815 C4(283,857) = 6856 Sum = 4444.984460484425490 Averaged sum = 0.4440987571669922559 logp*logq = 38.12617514597403987 -------------- ************************************* p = 283; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36618673195510293.84 -------------- Searches starting with [283,859]-exponents: u = 67, v = 5 n_start has 179 digits starting right neighbors generation We generated 1753 left neighbors We generated 8257 right neighbors We generated 10009 non-negative rho_i D1(283,859) = 0.6883923925811393495 D2(283,859) = 0.01964848125868675954 C1(283,859) = 0.9661048712526723848 C2(283,859) = 1.644005293106481282 C3(283,859) = 5.323771599835566886 C4(283,859) = 6872 Sum = 4547.237653803786358 Averaged sum = 0.4543148819865907042 logp*logq = 38.13933470181061433 -------------- ************************************* p = 283; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37591792787734504.84 -------------- Searches starting with [283,863]-exponents: u = 91, v = 5 n_start has 238 digits starting right neighbors generation We generated 3282 left neighbors We generated 6728 right neighbors We generated 10009 non-negative rho_i D1(283,863) = 0.6674308082452798082 D2(283,863) = 0.0006558363097997074724 C1(283,863) = 0.9199558310981050694 C2(283,863) = 1.585848433329134771 C3(283,863) = 4.915064923765598505 C4(283,863) = 6904 Sum = 4500.133369820678916 Averaged sum = 0.4496086891618222516 logp*logq = 38.16556214455870495 -------------- ************************************* p = 283; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41166877219664472.70 -------------- Searches starting with [283,877]-exponents: u = 6, v = 569 n_start has 1690 digits --- performed 5000 steps in the continued fraction search [283,877]-exponents: u = 56, v = 520 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(283,877) = 0.5880669616246740793 D2(283,877) = 0.3965545594064218735 C1(283,877) = 0.7440244335120399523 C2(283,877) = 1.470620228224219848 C3(283,877) = 3.624782243165839554 C4(283,877) = 7016 Sum = 5584.527913455872966 Averaged sum = 0.5585086422098082774 logp*logq = 38.25641037694524768 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(283,877) = 0.5880669616246740793 D2(283,877) = 0.3965545594064218735 C1(283,877) = 0.7440244335120399523 C2(283,877) = 1.470620228224219848 C3(283,877) = 3.624782243165839554 C4(283,877) = 7016 Sum = 5584.527913455872966 Averaged sum = 0.5585086422098082774 logp*logq = 38.25641037694524768 -------------- ************************************* p = 283; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42238171164712209.85 -------------- Searches starting with [283,881]-exponents: u = 6, v = 169 n_start has 513 digits --- performed 5000 steps in the continued fraction search [283,881]-exponents: u = 165, v = 10 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(283,881) = 0.5109410589050294014 D2(283,881) = 0.09812313328747498838 C1(283,881) = 0.6773878196401355366 C2(283,881) = 1.425002758287847453 C3(283,881) = 3.229916466326674144 C4(283,881) = 7048 Sum = 4850.829983408924507 Averaged sum = 0.4851315114920416548 logp*logq = 38.28210073708142272 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(283,881) = 0.5109410589050294014 D2(283,881) = 0.09812313328747498838 C1(283,881) = 0.6773878196401355366 C2(283,881) = 1.425002758287847453 C3(283,881) = 3.229916466326674144 C4(283,881) = 7048 Sum = 4850.829983408924507 Averaged sum = 0.4851315114920416548 logp*logq = 38.28210073708142272 -------------- ************************************* p = 283; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42782357708835918.03 -------------- Searches starting with [283,883]-exponents: u = 6, v = 124 n_start has 381 digits --- performed 5000 steps in the continued fraction search [283,883]-exponents: u = 17, v = 75 --- starting right neighbors generation We generated 8109 left neighbors We generated 1901 right neighbors We generated 10009 non-negative rho_i D1(283,883) = 0.7914859355168488130 D2(283,883) = 0.01304957171006732895 C1(283,883) = 1.063115412376628009 C2(283,883) = 1.479375542289356382 C3(283,883) = 6.297121553164427532 C4(283,883) = 7064 Sum = 4652.965283147511504 Averaged sum = 0.4648781379905596467 logp*logq = 38.29490220945481857 -------------- ************************************* p = 283; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43888046870517456.54 -------------- Searches starting with [283,887]-exponents: u = 6, v = 84 n_start has 263 digits starting right neighbors generation We generated 3985 left neighbors We generated 6025 right neighbors We generated 10009 non-negative rho_i D1(283,887) = 0.7075380059346546406 D2(283,887) = 0.005902198576735968598 C1(283,887) = 0.9728933512920020955 C2(283,887) = 1.573510640814013257 C3(283,887) = 5.386693984801699267 C4(283,887) = 7096 Sum = 4188.417084287704463 Averaged sum = 0.4184650898479073297 logp*logq = 38.32041839706283271 -------------- ************************************* p = 283; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49775414261631100.79 -------------- Searches starting with [283,907]-exponents: u = 6, v = 29 n_start has 101 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(283,907) = 0.6917171872884574367 D2(283,907) = 0.02576998678436486179 C1(283,907) = 0.9681756567098166911 C2(283,907) = 1.798008733930695270 C3(283,907) = 5.342887393279074894 C4(283,907) = 7256 Sum = 4317.283019201084533 Averaged sum = 0.4313400958338579811 logp*logq = 38.44629756751101508 -------------- ************************************* p = 283; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51027446941441528.53 -------------- Searches starting with [283,911]-exponents: u = 6, v = 24 n_start has 86 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(283,911) = 0.6535647233651042550 D2(283,911) = 0.05301031858840810948 C1(283,911) = 0.9717395024702346326 C2(283,911) = 1.825940752905883985 C3(283,911) = 5.375946746310504044 C4(283,911) = 7288 Sum = 3821.223126821311769 Averaged sum = 0.3817787118414738505 logp*logq = 38.47114005819299189 -------------- ************************************* p = 283; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53609327650913217.63 -------------- Searches starting with [283,919]-exponents: u = 6, v = 19 n_start has 72 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(283,919) = 0.9308608838494545673 D2(283,919) = 0.001180431554706511260 C1(283,919) = 1.245301026850274647 C2(283,919) = 1.870882689445326516 C3(283,919) = 8.631587911144892159 C4(283,919) = 7352 Sum = 4091.328593467003503 Averaged sum = 0.4087649708729147270 logp*logq = 38.52049947118507014 -------------- ************************************* p = 283; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56986909455438403.27 -------------- Searches starting with [283,929]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(283,929) = 1.208557286018204251 D2(283,929) = 0.04442615063669506259 C1(283,929) = 1.875702706398757727 C2(283,929) = 1.915928677522874242 C3(283,929) = 25.70174354069520422 C4(283,929) = 7432 Sum = 4581.958641772244760 Averaged sum = 0.4577838587043905245 logp*logq = 38.58159797769312399 -------------- ************************************* p = 283; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59813339961465610.55 -------------- Searches starting with [283,937]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(283,937) = 0.8616937739839897434 D2(283,937) = 0.08253172672665452966 C1(283,937) = 1.266011355524879862 C2(283,937) = 1.955460328805732307 C3(283,937) = 8.946612296776521712 C4(283,937) = 7496 Sum = 4133.164485558165997 Averaged sum = 0.4129447982374029371 logp*logq = 38.63000510726814709 -------------- ************************************* p = 283; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61269214772613537.82 -------------- Searches starting with [283,941]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(283,941) = 0.7163910732725305027 D2(283,941) = 0.1030916673160821213 C1(283,941) = 1.023081478509516501 C2(283,941) = 1.976728668089533213 C3(283,941) = 5.875551475499531983 C4(283,941) = 7528 Sum = 3736.569488494397417 Averaged sum = 0.3733209599854528341 logp*logq = 38.65405390571193077 -------------- ************************************* p = 283; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63507607974112602.25 -------------- Searches starting with [283,947]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(283,947) = 0.8304541147865693230 D2(283,947) = 0.09997698489266064563 C1(283,947) = 1.088767730062275975 C2(283,947) = 1.325851203837678688 C3(283,947) = 6.583015548180697595 C4(283,947) = 7576 Sum = 3824.762151183604761 Averaged sum = 0.3821322960519137537 logp*logq = 38.68993610424855910 -------------- ************************************* p = 283; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65812861446997287.19 -------------- Searches starting with [283,953]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(283,953) = 0.7341982622537404900 D2(283,953) = 0.1274605181076512303 C1(283,953) = 1.003011958556251828 C2(283,953) = 1.923122394394331123 C3(283,953) = 5.674954853464614734 C4(283,953) = 7624 Sum = 4358.883325823386088 Averaged sum = 0.4354963858350870305 logp*logq = 38.72559167686193167 -------------- ************************************* p = 283; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71460594723655801.13 -------------- Searches starting with [283,967]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(283,967) = 0.7183663916380487492 D2(283,967) = 0.08192514608429702409 C1(283,967) = 0.9515277598744485919 C2(283,967) = 1.760287191483348069 C3(283,967) = 5.191129043326677001 C4(283,967) = 7736 Sum = 3843.509574564591350 Averaged sum = 0.3840053526390839594 logp*logq = 38.80792256994061217 -------------- ************************************* p = 283; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73145486712245002.17 -------------- Searches starting with [283,971]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(283,971) = 0.9099134637075232041 D2(283,971) = 0.07221759721785510583 C1(283,971) = 1.247630925238224667 C2(283,971) = 1.751303325064163363 C3(283,971) = 8.666466823673034418 C4(283,971) = 7768 Sum = 4481.165847537342022 Averaged sum = 0.4477136424755062466 logp*logq = 38.83122682139262749 -------------- ************************************* p = 283; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75734016341390397.17 -------------- Searches starting with [283,977]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(283,977) = 0.8464279483232480055 D2(283,977) = 0.001748689037130429279 C1(283,977) = 1.220927384070014264 C2(283,977) = 2.028646682441469955 C3(283,977) = 8.275020371733165464 C4(283,977) = 7816 Sum = 4598.799450075029332 Averaged sum = 0.4594664252248006126 logp*logq = 38.86600381164120737 -------------- ************************************* p = 283; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78397456583750954.35 -------------- Searches starting with [283,983]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(283,983) = 0.7373991799305338048 D2(283,983) = 0.01300578055308553582 C1(283,983) = 1.026238174535693598 C2(283,983) = 2.041018623745937442 C3(283,983) = 5.907741970350136711 C4(283,983) = 7864 Sum = 4542.298230190281506 Averaged sum = 0.4538213837736318819 logp*logq = 38.90056788020702064 -------------- ************************************* p = 283; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82068164033160289.49 -------------- Searches starting with [283,991]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 94 left neighbors We generated 9916 right neighbors We generated 10009 non-negative rho_i D1(283,991) = 1.080512357726611963 D2(283,991) = 0.01844723010649878276 C1(283,991) = 1.860508221291252973 C2(283,991) = 1.121549102751496442 C3(283,991) = 25.03461499025951125 C4(283,991) = 7928 Sum = 2909.579314388386530 Averaged sum = 0.2906963047645505575 logp*logq = 38.94632656555954342 -------------- ************************************* p = 283; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84913018294975112.14 -------------- Searches starting with [283,997]-exponents: u = 11, v = 4 n_start has 39 digits starting right neighbors generation We generated 78 left neighbors We generated 9932 right neighbors We generated 10009 non-negative rho_i D1(283,997) = 0.7577996875567400120 D2(283,997) = 0.01978782382474984543 C1(283,997) = 1.304794846268558520 C2(283,997) = 2.087023047117089214 C3(283,997) = 9.567800311091506838 C4(283,997) = 7976 Sum = 4072.001611085713619 Averaged sum = 0.4068340104991221519 logp*logq = 38.98040381328081650 -------------- ************************************* p = 293; q = 307; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134083480653850.3297 -------------- Searches starting with [293,307]-exponents: u = 1, v = 121 n_start has 304 digits starting right neighbors generation We generated 1847 left neighbors We generated 8163 right neighbors We generated 10009 non-negative rho_i D1(293,307) = 0.6486031227930287673 D2(293,307) = 0.002256347217661156385 C1(293,307) = 0.8827196113842188644 C2(293,307) = 1.218569293119701252 C3(293,307) = 4.633292514603831537 C4(293,307) = 2456 Sum = 4895.332223295345203 Averaged sum = 0.4890930385947992010 logp*logq = 32.52948371185588497 -------------- ************************************* p = 293; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 144314271901043.0443 -------------- Searches starting with [293,311]-exponents: u = 1, v = 95 n_start has 240 digits starting right neighbors generation We generated 1182 left neighbors We generated 8828 right neighbors We generated 10009 non-negative rho_i D1(293,311) = 0.6525495592441681111 D2(293,311) = 0.006897438319962027890 C1(293,311) = 0.9008816192514854615 C2(293,311) = 1.272506178318856473 C3(293,311) = 4.781789340636200390 C4(293,311) = 2488 Sum = 4231.912945011660428 Averaged sum = 0.4228107648128344917 logp*logq = 32.60301448119079103 -------------- ************************************* p = 293; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149665806647049.1329 -------------- Searches starting with [293,313]-exponents: u = 1, v = 86 n_start has 218 digits starting right neighbors generation We generated 989 left neighbors We generated 9021 right neighbors We generated 10009 non-negative rho_i D1(293,313) = 1.043629563243635714 D2(293,313) = 0.01046323964432179923 C1(293,313) = 1.449541774063034215 C2(293,313) = 1.297729853090675699 C3(293,313) = 12.40162386242598554 C4(293,313) = 2504 Sum = 4132.593514941439120 Averaged sum = 0.4128877525168787211 logp*logq = 32.63942596875265842 -------------- ************************************* p = 293; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160860092750786.1903 -------------- Searches starting with [293,317]-exponents: u = 1, v = 72 n_start has 183 digits starting right neighbors generation We generated 694 left neighbors We generated 9316 right neighbors We generated 10009 non-negative rho_i D1(293,317) = 0.7374071044299373050 D2(293,317) = 0.01795289448505719336 C1(293,317) = 1.035946458894950014 C2(293,317) = 1.344320785624730423 C3(293,317) = 6.046139442154408187 C4(293,317) = 2536 Sum = 3851.547683789948760 Averaged sum = 0.3848084407822908142 logp*logq = 32.71155611399753001 -------------- ************************************* p = 293; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 205616494013197.3349 -------------- Searches starting with [293,331]-exponents: u = 1, v = 46 n_start has 119 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(293,331) = 0.6252508241564382482 D2(293,331) = 0.004690722862579192576 C1(293,331) = 0.8637416277955988329 C2(293,331) = 1.445088196491645571 C3(293,331) = 4.483048720424534894 C4(293,331) = 2648 Sum = 4543.433541841630198 Averaged sum = 0.4539348128525956836 logp*logq = 32.95703387009139927 -------------- ************************************* p = 293; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 227705818765010.5253 -------------- Searches starting with [293,337]-exponents: u = 1, v = 40 n_start has 104 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(293,337) = 0.5808816636901364725 D2(293,337) = 0.01910201763012227962 C1(293,337) = 0.8092207769998459864 C2(293,337) = 1.497075942723654279 C3(293,337) = 4.077979385663086981 C4(293,337) = 2696 Sum = 4452.225645488592965 Averaged sum = 0.4448222245467672060 logp*logq = 33.05907564319527292 -------------- ************************************* p = 293; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 268849913192300.8342 -------------- Searches starting with [293,347]-exponents: u = 1, v = 33 n_start has 87 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(293,347) = 0.6017032192814570894 D2(293,347) = 0.03550718846161503770 C1(293,347) = 0.8485473957462025546 C2(293,347) = 1.569852633952368066 C3(293,347) = 4.366279314990713785 C4(293,347) = 2776 Sum = 4333.875583754632613 Averaged sum = 0.4329978603011921883 logp*logq = 33.22517439629893428 -------------- ************************************* p = 293; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 277771279762258.9457 -------------- Searches starting with [293,349]-exponents: u = 1, v = 32 n_start has 84 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(293,349) = 0.8096341645518172178 D2(293,349) = 0.03467099020351648571 C1(293,349) = 1.144098485967988369 C2(293,349) = 1.579972885457262523 C3(293,349) = 7.295648269612898737 C4(293,349) = 2792 Sum = 4587.879766666833472 Averaged sum = 0.4583754387717887373 logp*logq = 33.25781915631913603 -------------- ************************************* p = 293; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 296346700014043.3211 -------------- Searches starting with [293,353]-exponents: u = 1, v = 30 n_start has 79 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(293,353) = 0.9530067286655040406 D2(293,353) = 0.01734052140792811483 C1(293,353) = 1.352548448129992701 C2(293,353) = 1.586100442178043115 C3(293,353) = 10.47877514055453060 C4(293,353) = 2824 Sum = 4879.327956630017340 Averaged sum = 0.4874940510170863563 logp*logq = 33.32255116866608965 -------------- ************************************* p = 293; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 326120050021832.8907 -------------- Searches starting with [293,359]-exponents: u = 1, v = 27 n_start has 72 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(293,359) = 0.9446296724289023273 D2(293,359) = 0.03861109297008690407 C1(293,359) = 1.431906247662123178 C2(293,359) = 1.634036455366935932 C3(293,359) = 12.02748966663117962 C4(293,359) = 2872 Sum = 4777.642023873401810 Averaged sum = 0.4773346012462185843 logp*logq = 33.41828668110799104 -------------- ************************************* p = 293; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 369611886511574.1555 -------------- Searches starting with [293,367]-exponents: u = 1, v = 25 n_start has 67 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(293,367) = 0.5929465012493293875 D2(293,367) = 0.08768845726482425936 C1(293,367) = 0.9090958732058865516 C2(293,367) = 1.713472682618663492 C3(293,367) = 4.850505001995996738 C4(293,367) = 2936 Sum = 4110.022841705746788 Averaged sum = 0.4106327147273200907 logp*logq = 33.54347461565397861 -------------- ************************************* p = 293; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 405275233621322.9069 -------------- Searches starting with [293,373]-exponents: u = 1, v = 23 n_start has 62 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(293,373) = 0.7536846308600497149 D2(293,373) = 0.03574773362630949393 C1(293,373) = 1.090070563745429092 C2(293,373) = 1.694634694187879962 C3(293,373) = 6.642128936177949380 C4(293,373) = 2984 Sum = 4245.702969345951337 Averaged sum = 0.4241885272600610787 logp*logq = 33.63558754140737397 -------------- ************************************* p = 293; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 443726952417983.2048 -------------- Searches starting with [293,379]-exponents: u = 1, v = 22 n_start has 60 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(293,379) = 0.8206925656809288776 D2(293,379) = 0.07351123089947414123 C1(293,379) = 1.275354911131262326 C2(293,379) = 1.751747196020355854 C3(293,379) = 9.163865075104615144 C4(293,379) = 3032 Sum = 2988.826050791028932 Averaged sum = 0.2986138526117523161 logp*logq = 33.72623051715634248 -------------- ************************************* p = 293; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 470993506402649.3543 -------------- Searches starting with [293,383]-exponents: u = 1, v = 21 n_start has 57 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(293,383) = 0.7594373989210136280 D2(293,383) = 0.04577568529806227007 C1(293,383) = 1.039535849930385409 C2(293,383) = 1.743814123628056230 C3(293,383) = 6.083953101622074403 C4(293,383) = 3064 Sum = 4446.479983789064701 Averaged sum = 0.4442481750213872216 logp*logq = 33.78586542301903364 -------------- ************************************* p = 293; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 514470863722165.5498 -------------- Searches starting with [293,389]-exponents: u = 1, v = 20 n_start has 55 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(293,389) = 0.9230907204762976933 D2(293,389) = 0.05204430455426559550 C1(293,389) = 1.449756166990974037 C2(293,389) = 1.772092973781801883 C3(293,389) = 12.40624304471397664 C4(293,389) = 3112 Sum = 1892.897193464494388 Averaged sum = 0.1891195117858421809 logp*logq = 33.87416003932147982 -------------- ************************************* p = 293; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 577535458051399.5543 -------------- Searches starting with [293,397]-exponents: u = 1, v = 18 n_start has 50 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(293,397) = 0.6019401017136244369 D2(293,397) = 0.08482961986041887111 C1(293,397) = 0.8583648860407911951 C2(293,397) = 1.829284088191358050 C3(293,397) = 4.441375080544751346 C4(293,397) = 3176 Sum = 3922.132695503978503 Averaged sum = 0.3918605950148844542 logp*logq = 33.98979095566284435 -------------- ************************************* p = 293; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 611377374648419.7152 -------------- Searches starting with [293,401]-exponents: u = 1, v = 18 n_start has 50 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(293,401) = 0.7327526291255494916 D2(293,401) = 0.01498010938531704641 C1(293,401) = 0.9750818216378203338 C2(293,401) = 1.784166877645332556 C3(293,401) = 5.439565592363189227 C4(293,401) = 3208 Sum = 4043.551976028003092 Averaged sum = 0.4039916051581579670 logp*logq = 34.04673551889161971 -------------- ************************************* p = 293; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 683973375294268.3223 -------------- Searches starting with [293,409]-exponents: u = 1, v = 17 n_start has 47 digits starting right neighbors generation We generated 69 left neighbors We generated 9941 right neighbors We generated 10009 non-negative rho_i D1(293,409) = 0.9952492959475726001 D2(293,409) = 0.007216517659027072517 C1(293,409) = 1.593368875850640863 C2(293,409) = 1.804859711527481413 C3(293,409) = 15.92121430770853073 C4(293,409) = 3272 Sum = 1596.795774616542624 Averaged sum = 0.1595359950660947771 logp*logq = 34.15894010778512123 -------------- ************************************* p = 293; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 784563804426805.7940 -------------- Searches starting with [293,419]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(293,419) = 0.6837715816082051127 D2(293,419) = 0.009452459361300215276 C1(293,419) = 1.102977100610931109 C2(293,419) = 1.838867256045232525 C3(293,419) = 6.792716616471119167 C4(293,419) = 3352 Sum = 4209.529225351842532 Averaged sum = 0.4205744055701710992 logp*logq = 34.29614901612240935 -------------- ************************************* p = 293; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 806074679193956.9936 -------------- Searches starting with [293,421]-exponents: u = 1, v = 15 n_start has 42 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(293,421) = 0.9415275419461881229 D2(293,421) = 0.04128435529605826192 C1(293,421) = 1.359578056443014686 C2(293,421) = 1.871447179667472399 C3(293,421) = 10.60750847020436449 C4(293,421) = 3368 Sum = 4266.066391190966494 Averaged sum = 0.4262230383845505539 logp*logq = 34.32319750822984700 -------------- ************************************* p = 293; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 921055136910383.3546 -------------- Searches starting with [293,431]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(293,431) = 0.7168954998176675358 D2(293,431) = 0.01401391618593520393 C1(293,431) = 0.9818127824142475622 C2(293,431) = 1.878979904817324128 C3(293,431) = 5.503535800464117407 C4(293,431) = 3448 Sum = 4375.715391736357523 Averaged sum = 0.4371780789026233913 logp*logq = 34.45654101674414428 -------------- ************************************* p = 293; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 945597538176973.8947 -------------- Searches starting with [293,433]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(293,433) = 0.6921473479418235611 D2(293,433) = 0.04340633227591506106 C1(293,433) = 0.9259719086727313844 C2(293,433) = 1.909106416212220984 C3(293,433) = 4.994794085347262413 C4(293,433) = 3464 Sum = 3937.179237929638245 Averaged sum = 0.3933638962863061490 logp*logq = 34.48283815912624625 -------------- ************************************* p = 293; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1022479449883417.131 -------------- Searches starting with [293,439]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(293,439) = 0.8825019254288829144 D2(293,439) = 0.09304745517516304835 C1(293,439) = 1.448599203419787523 C2(293,439) = 1.183588687277500280 C3(293,439) = 12.38133619033472497 C4(293,439) = 3512 Sum = 3572.521029671681131 Averaged sum = 0.3569308651884984645 logp*logq = 34.56100690573001077 -------------- ************************************* p = 293; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1076539471900687.141 -------------- Searches starting with [293,443]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(293,443) = 0.7081472825312577600 D2(293,443) = 0.1331586684764216556 C1(293,443) = 1.009809457745795521 C2(293,443) = 1.758620430590079747 C3(293,443) = 5.777785449260767364 C4(293,443) = 3544 Sum = 4448.458479680277566 Averaged sum = 0.4444458467059923635 logp*logq = 34.61252809894480896 -------------- ************************************* p = 293; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1162029138971867.544 -------------- Searches starting with [293,449]-exponents: u = 1, v = 13 n_start has 37 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(293,449) = 0.6146788091102319799 D2(293,449) = 0.06788651474788426502 C1(293,449) = 0.8985471919437021463 C2(293,449) = 1.974222038400287069 C3(293,449) = 4.762439124774794068 C4(293,449) = 3592 Sum = 3985.429263303685350 Averaged sum = 0.3981845602261649865 logp*logq = 34.68894412959386512 -------------- ************************************* p = 293; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1284645032579492.713 -------------- Searches starting with [293,457]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(293,457) = 0.8954801894169230053 D2(293,457) = 0.1172270645688324207 C1(293,457) = 1.218165472212818369 C2(293,457) = 1.774534042110713962 C3(293,457) = 8.297307269411188008 C4(293,457) = 3656 Sum = 4386.541485697665031 Averaged sum = 0.4382597148264227227 logp*logq = 34.78925883585903340 -------------- ************************************* p = 293; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1349836088452567.541 -------------- Searches starting with [293,461]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(293,461) = 0.7904534964107164491 D2(293,461) = 0.1123437419434537851 C1(293,461) = 1.048866816180543899 C2(293,461) = 1.771183755922573888 C3(293,461) = 6.183363522844256864 C4(293,461) = 3688 Sum = 3818.515746354019811 Averaged sum = 0.3815082172398860837 logp*logq = 34.83875956402844778 -------------- ************************************* p = 293; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1383439375096734.654 -------------- Searches starting with [293,463]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(293,463) = 0.6299517950132609307 D2(293,463) = 0.02240380402721931716 C1(293,463) = 0.8452888576783147780 C2(293,463) = 1.973136545691741161 C3(293,463) = 4.341635890465634547 C4(293,463) = 3704 Sum = 4009.392556898523093 Averaged sum = 0.4005787348285066533 logp*logq = 34.86334909424364278 -------------- ************************************* p = 293; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1452715698838004.322 -------------- Searches starting with [293,467]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(293,467) = 0.6064493123569366296 D2(293,467) = 0.07225963653902169902 C1(293,467) = 0.8181133694376955677 C2(293,467) = 2.024385462367749845 C3(293,467) = 4.141457946184266845 C4(293,467) = 3736 Sum = 3986.233265709794064 Averaged sum = 0.3982648881716249439 logp*logq = 34.91221109541107498 -------------- ************************************* p = 293; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1677908856052645.769 -------------- Searches starting with [293,479]-exponents: u = 1, v = 11 n_start has 32 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(293,479) = 0.9180540847419146544 D2(293,479) = 0.09337639758247705850 C1(293,479) = 1.255374508289074734 C2(293,479) = 1.788838449883859965 C3(293,479) = 8.851283250806709774 C4(293,479) = 3832 Sum = 4501.638618793883584 Averaged sum = 0.4497590787085506628 logp*logq = 35.05632468446775134 -------------- ************************************* p = 293; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1843437387865185.273 -------------- Searches starting with [293,487]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(293,487) = 0.6494505985483910818 D2(293,487) = 0.04788008708125241322 C1(293,487) = 0.8797733121569534964 C2(293,487) = 2.052055904773049192 C3(293,487) = 4.609641434385282771 C4(293,487) = 3896 Sum = 4310.881105223143265 Averaged sum = 0.4307004800902331167 logp*logq = 35.15040836929674817 -------------- ************************************* p = 293; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1931111633653194.806 -------------- Searches starting with [293,491]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(293,491) = 1.595657094658133517 D2(293,491) = 0.04624122680925422415 C1(293,491) = 2.711049680308533574 C2(293,491) = 1.022719050696402479 C3(293,491) = 110.9459858384623879 C4(293,491) = 3928 Sum = 1242.554409180364639 Averaged sum = 0.1241437115776166089 logp*logq = 35.19687220800308798 -------------- ************************************* p = 293; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2116785323029688.155 -------------- Searches starting with [293,499]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(293,499) = 1.121113575946210182 D2(293,499) = 0.07379435796177633189 C1(293,499) = 1.668840812123946566 C2(293,499) = 1.810701864599051947 C3(293,499) = 18.15136599550235469 C4(293,499) = 3992 Sum = 4052.490372405440866 Averaged sum = 0.4048846410635868584 logp*logq = 35.28867497570024004 -------------- ************************************* p = 293; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2214993571444895.024 -------------- Searches starting with [293,503]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(293,503) = 0.9139236439657162777 D2(293,503) = 0.06975716332644031050 C1(293,503) = 1.420227699811656391 C2(293,503) = 1.808116137161673233 C3(293,503) = 11.78596494909890093 C4(293,503) = 4024 Sum = 3413.729203313814253 Averaged sum = 0.3410659609665115649 logp*logq = 35.33402589612135816 -------------- ************************************* p = 293; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2369322657610627.795 -------------- Searches starting with [293,509]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(293,509) = 0.9732132833586028151 D2(293,509) = 0.05548300583403001199 C1(293,509) = 1.360093649886012408 C2(293,509) = 1.568035933489009501 C3(293,509) = 10.61701255894141719 C4(293,509) = 4072 Sum = 4913.323068329719378 Averaged sum = 0.4908905053781316194 logp*logq = 35.40138051073302905 -------------- ************************************* p = 293; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2704626002303670.114 -------------- Searches starting with [293,521]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(293,521) = 0.6153114912945510512 D2(293,521) = 0.05369412328660383539 C1(293,521) = 1.061029352205933028 C2(293,521) = 1.837995016223162925 C3(293,521) = 6.315383512215427692 C4(293,521) = 4168 Sum = 4328.096955097278395 Averaged sum = 0.4324205170443878904 logp*logq = 35.53374003602484990 -------------- ************************************* p = 293; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2764132330431672.975 -------------- Searches starting with [293,523]-exponents: u = 1, v = 9 n_start has 27 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(293,523) = 0.8064159932195106434 D2(293,523) = 0.05182133675549331707 C1(293,523) = 1.157568315656272586 C2(293,523) = 1.836832814664806606 C3(293,523) = 7.468355962331415783 C4(293,523) = 4184 Sum = 3732.779746807197383 Averaged sum = 0.3729423265867916259 logp*logq = 35.55550317609252705 -------------- ************************************* p = 293; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3349903065856279.791 -------------- Searches starting with [293,541]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(293,541) = 0.6371291575991473270 D2(293,541) = 0.03089541515939126232 C1(293,541) = 0.9351496972304407122 C2(293,541) = 1.582274918412437799 C3(293,541) = 5.075057409821258137 C4(293,541) = 4328 Sum = 3895.853551091549249 Averaged sum = 0.3892350435699419771 logp*logq = 35.74770780476372917 -------------- ************************************* p = 293; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3566486749839242.861 -------------- Searches starting with [293,547]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(293,547) = 0.7716429655198976064 D2(293,547) = 0.003677974224471782606 C1(293,547) = 1.062064341155047212 C2(293,547) = 2.142045249835348302 C3(293,547) = 6.326747247315469618 C4(293,547) = 4376 Sum = 4031.390472835863730 Averaged sum = 0.4027765483900353412 logp*logq = 35.81035740246779046 -------------- ************************************* p = 293; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3953042357938870.548 -------------- Searches starting with [293,557]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(293,557) = 0.5774614213482247335 D2(293,557) = 0.02286674437095050890 C1(293,557) = 0.8234591624341097623 C2(293,557) = 1.866275672835332636 C3(293,557) = 4.180092731845470772 C4(293,557) = 4456 Sum = 4025.927903954337938 Averaged sum = 0.4022307826910118831 logp*logq = 35.91326189455838101 -------------- ************************************* p = 293; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4201094447552717.581 -------------- Searches starting with [293,563]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(293,563) = 0.6299604557159358069 D2(293,563) = 0.01793308401821161401 C1(293,563) = 0.8691514644577574861 C2(293,563) = 1.863374502840753774 C3(293,563) = 4.525373520840376859 C4(293,563) = 4504 Sum = 4088.282706534259909 Averaged sum = 0.4084606560629693185 logp*logq = 35.97412146900486696 -------------- ************************************* p = 293; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4461832168964859.781 -------------- Searches starting with [293,569]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(293,569) = 0.6660885110492205501 D2(293,569) = 0.01310948604422993218 C1(293,569) = 0.9258329718284488165 C2(293,569) = 1.860561405487225520 C3(293,569) = 4.993588833407428150 C4(293,569) = 4552 Sum = 4370.768247763429524 Averaged sum = 0.4366838093479298155 logp*logq = 36.03433587680368669 -------------- ************************************* p = 293; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4551650582426509.048 -------------- Searches starting with [293,571]-exponents: u = 10, v = 8 n_start has 47 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(293,571) = 0.8603326796760839165 D2(293,571) = 0.01152524946918440479 C1(293,571) = 1.367887815944285427 C2(293,571) = 1.859642530251756236 C3(293,571) = 10.76172648797588000 C4(293,571) = 4568 Sum = 3224.785972947236793 Averaged sum = 0.3221886275299467272 logp*logq = 36.05426632745856038 -------------- ************************************* p = 293; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4830089993857861.712 -------------- Searches starting with [293,577]-exponents: u = 19, v = 8 n_start has 69 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(293,577) = 0.5699932757515364893 D2(293,577) = 0.006256000304864043570 C1(293,577) = 0.7760847634779733410 C2(293,577) = 1.698127999650998387 C3(293,577) = 3.849891517543300444 C4(293,577) = 4616 Sum = 4251.584897621059026 Averaged sum = 0.4247761911900348712 logp*logq = 36.11364149467029645 -------------- ************************************* p = 293; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5325278275185290.512 -------------- Searches starting with [293,587]-exponents: u = 46, v = 8 n_start has 136 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(293,587) = 0.5894971238734526335 D2(293,587) = 0.05122453363265276413 C1(293,587) = 0.8450218936112077078 C2(293,587) = 1.745663882707070710 C3(293,587) = 4.339623089916876730 C4(293,587) = 4696 Sum = 4177.715740483541048 Averaged sum = 0.4173959177224039413 logp*logq = 36.21124136339151804 -------------- ************************************* p = 293; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5641951032987486.985 -------------- Searches starting with [293,593]-exponents: u = 154, v = 8 n_start has 403 digits --- performed 5000 steps in the continued fraction search [293,593]-exponents: u = 30, v = 81 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,593) = 0.5424166892542094835 D2(293,593) = 0.08738827419751162005 C1(293,593) = 0.7294678478864947824 C2(293,593) = 1.498675475844821524 C3(293,593) = 3.550442505026903514 C4(293,593) = 4744 Sum = 4717.796151550593683 Averaged sum = 0.4718267978348428525 logp*logq = 36.26900632843607524 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,593) = 0.5424166892542094835 D2(293,593) = 0.08738827419751162005 C1(293,593) = 0.7294678478864947824 C2(293,593) = 1.498675475844821524 C3(293,593) = 3.550442505026903514 C4(293,593) = 4744 Sum = 4717.796151550593683 Averaged sum = 0.4718267978348428525 logp*logq = 36.26900632843607524 -------------- ************************************* p = 293; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5973979941787954.865 -------------- Searches starting with [293,599]-exponents: u = 9, v = 135 n_start has 398 digits starting right neighbors generation We generated 3991 left neighbors We generated 6019 right neighbors We generated 10009 non-negative rho_i D1(293,599) = 0.7165629655625730045 D2(293,599) = 0.005518116516957251126 C1(293,599) = 1.176176565449247639 C2(293,599) = 1.250993755025085430 C3(293,599) = 7.713693125173449156 C4(293,599) = 4792 Sum = 4405.750314274793314 Averaged sum = 0.4401788704440796597 logp*logq = 36.32618975711409130 -------------- ************************************* p = 293; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6088168444336014.752 -------------- Searches starting with [293,601]-exponents: u = 9, v = 79 n_start has 242 digits starting right neighbors generation We generated 1975 left neighbors We generated 8035 right neighbors We generated 10009 non-negative rho_i D1(293,601) = 0.6106134921903214449 D2(293,601) = 0.01360501282753356498 C1(293,601) = 0.8419399778229646648 C2(293,601) = 1.359551876040450837 C3(293,601) = 4.316454154369292478 C4(293,601) = 4808 Sum = 4401.255942485925036 Averaged sum = 0.4397298373949370602 logp*logq = 36.34512368334224102 -------------- ************************************* p = 293; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6441576499149736.283 -------------- Searches starting with [293,607]-exponents: u = 9, v = 31 n_start has 109 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(293,607) = 0.9581675354908252395 D2(293,607) = 0.04331775962701807997 C1(293,607) = 1.397976202647465351 C2(293,607) = 1.595116353424782629 C3(293,607) = 11.33912314061937886 C4(293,607) = 4856 Sum = 4955.601680361648129 Averaged sum = 0.4951145649277298560 logp*logq = 36.40154970307342244 -------------- ************************************* p = 293; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6811717621677127.054 -------------- Searches starting with [293,613]-exponents: u = 9, v = 23 n_start has 87 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(293,613) = 0.5816911206880338124 D2(293,613) = 0.07660112194254446450 C1(293,613) = 0.7954232042840983988 C2(293,613) = 1.702041545568228200 C3(293,613) = 3.981407846017742803 C4(293,613) = 4904 Sum = 4218.015977980367460 Averaged sum = 0.4214223177120958597 logp*logq = 36.45742070378045196 -------------- ************************************* p = 293; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7068078432203880.459 -------------- Searches starting with [293,617]-exponents: u = 9, v = 15 n_start has 65 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(293,617) = 0.7032204089547168978 D2(293,617) = 0.1055503819853210924 C1(293,617) = 0.9917091118193539937 C2(293,617) = 1.838239866911822388 C3(293,617) = 5.598957954036038016 C4(293,617) = 4936 Sum = 4133.418449846966229 Averaged sum = 0.4129701718300495783 logp*logq = 36.49436504610960528 -------------- ************************************* p = 293; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7199208596807009.858 -------------- Searches starting with [293,619]-exponents: u = 9, v = 15 n_start has 65 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(293,619) = 0.7044542577619294843 D2(293,619) = 0.1181493729213312494 C1(293,619) = 1.029782360776409540 C2(293,619) = 1.851380064794838883 C3(293,619) = 5.981749205594884959 C4(293,619) = 4952 Sum = 3638.266994137100161 Averaged sum = 0.3634995498188730303 logp*logq = 36.51274749778122912 -------------- ************************************* p = 293; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8028789484375245.335 -------------- Searches starting with [293,631]-exponents: u = 17, v = 7 n_start has 62 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(293,631) = 0.7434419130091572228 D2(293,631) = 0.1122848736049918753 C1(293,631) = 1.088943146272304945 C2(293,631) = 1.865246542524618521 C3(293,631) = 6.629134360112528277 C4(293,631) = 5048 Sum = 3691.232487319326222 Averaged sum = 0.3687913365290564714 logp*logq = 36.62181016236175625 -------------- ************************************* p = 293; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8778859463526005.671 -------------- Searches starting with [293,641]-exponents: u = 25, v = 7 n_start has 82 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(293,641) = 0.7676231621015108644 D2(293,641) = 0.04823622530213512183 C1(293,641) = 1.148970435357160341 C2(293,641) = 1.804167657973049852 C3(293,641) = 7.357649567519249600 C4(293,641) = 5128 Sum = 3965.714075201151102 Averaged sum = 0.3962148141873464984 logp*logq = 36.71112289247124195 -------------- ************************************* p = 293; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8935586200195511.762 -------------- Searches starting with [293,643]-exponents: u = 33, v = 7 n_start has 102 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(293,643) = 0.5600905515103171967 D2(293,643) = 0.03681217084220417419 C1(293,643) = 0.7861291723836020694 C2(293,643) = 1.793331910881421674 C3(293,643) = 3.917649765197030999 C4(293,643) = 5144 Sum = 4006.937096693680007 Averaged sum = 0.4003334096007273460 logp*logq = 36.72881814855474372 -------------- ************************************* p = 293; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9255960692582608.521 -------------- Searches starting with [293,647]-exponents: u = 41, v = 7 n_start has 121 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(293,647) = 0.7164884857190229749 D2(293,647) = 0.01504512700440235706 C1(293,647) = 1.036273938436840762 C2(293,647) = 1.772735930529105090 C3(293,647) = 6.049579621478554574 C4(293,647) = 5176 Sum = 4352.954507363655988 Averaged sum = 0.4349040371029729232 logp*logq = 36.76404413809712823 -------------- ************************************* p = 293; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9754224546969503.737 -------------- Searches starting with [293,653]-exponents: u = 89, v = 7 n_start has 240 digits starting right neighbors generation We generated 3961 left neighbors We generated 6049 right neighbors We generated 10009 non-negative rho_i D1(293,653) = 0.5741004986988276976 D2(293,653) = 0.01276341524027282446 C1(293,653) = 0.7962619599559893012 C2(293,653) = 1.669946730481706623 C3(293,653) = 3.987212599251301041 C4(293,653) = 5224 Sum = 4096.650574871241416 Averaged sum = 0.4092966904657050071 logp*logq = 36.81647687294745876 -------------- ************************************* p = 293; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10274382265950812.82 -------------- Searches starting with [293,659]-exponents: u = 1025, v = 7 n_start has 2549 digits --- performed 5000 steps in the continued fraction search [293,659]-exponents: u = 71, v = 837 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,659) = 0.7118536182694937047 D2(293,659) = 0.4858798734191215182 C1(293,659) = 0.8902143749958021826 C2(293,659) = 1.474668732380208203 C3(293,659) = 4.694004275539327678 C4(293,659) = 5272 Sum = 5839.154825474613246 Averaged sum = 0.5839738799354548700 logp*logq = 36.86843003338358712 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,659) = 0.7118536182694937047 D2(293,659) = 0.4858798734191215182 C1(293,659) = 0.8902143749958021826 C2(293,659) = 1.474668732380208203 C3(293,659) = 4.694004275539327678 C4(293,659) = 5272 Sum = 5839.154825474613246 Averaged sum = 0.5839738799354548700 logp*logq = 36.86843003338358712 -------------- ************************************* p = 293; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10452762482981237.10 -------------- Searches starting with [293,661]-exponents: u = 8, v = 377 n_start has 1083 digits --- performed 5000 steps in the continued fraction search [293,661]-exponents: u = 317, v = 95 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,661) = 0.6003126176645969489 D2(293,661) = 0.3404924706238399376 C1(293,661) = 0.7722074494264631015 C2(293,661) = 1.445277237738299622 C3(293,661) = 3.824050294362828698 C4(293,661) = 5288 Sum = 5374.471682305126522 Averaged sum = 0.5375009183223448866 logp*logq = 36.88564269082495195 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,661) = 0.6003126176645969489 D2(293,661) = 0.3404924706238399376 C1(293,661) = 0.7722074494264631015 C2(293,661) = 1.445277237738299622 C3(293,661) = 3.824050294362828698 C4(293,661) = 5288 Sum = 5374.471682305126522 Averaged sum = 0.5375009183223448866 logp*logq = 36.88564269082495195 -------------- ************************************* p = 293; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11577471103283086.09 -------------- Searches starting with [293,673]-exponents: u = 8, v = 34 n_start has 116 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(293,673) = 0.7700468387335568983 D2(293,673) = 0.0008716903452747162195 C1(293,673) = 1.117450976106370457 C2(293,673) = 1.552124517639462017 C3(293,673) = 6.965656139738944593 C4(293,673) = 5384 Sum = 4450.123707753820178 Averaged sum = 0.4446122197775821939 logp*logq = 36.98783745834279653 -------------- ************************************* p = 293; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11973806161186761.10 -------------- Searches starting with [293,677]-exponents: u = 8, v = 27 n_start has 97 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(293,677) = 0.5614197073476275127 D2(293,677) = 0.01449584324986903529 C1(293,677) = 0.7909587240195177628 C2(293,677) = 1.623946225806235514 C3(293,677) = 3.950652545795897175 C4(293,677) = 5416 Sum = 4113.572905880520658 Averaged sum = 0.4109874019263183792 logp*logq = 37.02149783897370717 -------------- ************************************* p = 293; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12589220593061396.26 -------------- Searches starting with [293,683]-exponents: u = 8, v = 20 n_start has 77 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(293,683) = 0.7214678791444620769 D2(293,683) = 0.03745668562800967636 C1(293,683) = 1.035627181793720915 C2(293,683) = 1.725908752724765767 C3(293,683) = 6.042787313067581694 C4(293,683) = 5464 Sum = 3962.820331221374161 Averaged sum = 0.3959256999921444860 logp*logq = 37.07161733422469290 -------------- ************************************* p = 293; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13450097377414509.98 -------------- Searches starting with [293,691]-exponents: u = 8, v = 13 n_start has 57 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(293,691) = 0.5920319312868023354 D2(293,691) = 0.07384999101765870689 C1(293,691) = 0.8421852120188352430 C2(293,691) = 1.879510122769102211 C3(293,691) = 4.318293214314525167 C4(293,691) = 5528 Sum = 4084.261202143245237 Averaged sum = 0.4080588672338140910 logp*logq = 37.13776274088879416 -------------- ************************************* p = 293; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14593838591954043.43 -------------- Searches starting with [293,701]-exponents: u = 8, v = 13 n_start has 57 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(293,701) = 0.8780340030159757537 D2(293,701) = 0.08370329819557283396 C1(293,701) = 1.441266199541576563 C2(293,701) = 1.226459164484173362 C3(293,701) = 12.22463159875469144 C4(293,701) = 5608 Sum = 3625.207569157167914 Averaged sum = 0.3621947816122657522 logp*logq = 37.21937582030217853 -------------- ************************************* p = 293; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15565485208285150.75 -------------- Searches starting with [293,709]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(293,709) = 0.9486811019356082892 D2(293,709) = 0.08864916745231907140 C1(293,709) = 1.365724887586266089 C2(293,709) = 1.919256933429374133 C3(293,709) = 10.72137089356918860 C4(293,709) = 5672 Sum = 4903.284295761024123 Averaged sum = 0.4898875307983838668 logp*logq = 37.28383237135309071 -------------- ************************************* p = 293; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16854396036204382.98 -------------- Searches starting with [293,719]-exponents: u = 22, v = 6 n_start has 72 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(293,719) = 0.8605420779844336550 D2(293,719) = 0.03977018900164886267 C1(293,719) = 1.344115434309387850 C2(293,719) = 1.873102352133903747 C3(293,719) = 10.32640085985885383 C4(293,719) = 5752 Sum = 2709.474590533934996 Averaged sum = 0.2707038256103441898 logp*logq = 37.36338791003890644 -------------- ************************************* p = 293; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17947723916812120.43 -------------- Searches starting with [293,727]-exponents: u = 22, v = 6 n_start has 72 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(293,727) = 1.233291128450107056 D2(293,727) = 0.005131052197797816347 C1(293,727) = 1.869472578638805137 C2(293,727) = 1.840615187179753677 C3(293,727) = 25.71924412683402607 C4(293,727) = 5816 Sum = 5170.485460358167468 Averaged sum = 0.5165836207771173412 logp*logq = 37.42623970051320580 -------------- ************************************* p = 293; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18805510124855628.25 -------------- Searches starting with [293,733]-exponents: u = 36, v = 6 n_start has 106 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(293,733) = 0.9203765430779390120 D2(293,733) = 0.05692290879011829898 C1(293,733) = 1.208072573905464832 C2(293,733) = 1.783383265823521692 C3(293,733) = 8.153113329509568872 C4(293,733) = 5864 Sum = 3204.186169514674782 Averaged sum = 0.3201304995019157540 logp*logq = 37.47292631355123294 -------------- ************************************* p = 293; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19696794958707066.53 -------------- Searches starting with [293,739]-exponents: u = 50, v = 6 n_start has 141 digits starting right neighbors generation We generated 1260 left neighbors We generated 8750 right neighbors We generated 10009 non-negative rho_i D1(293,739) = 0.6982245989618176328 D2(293,739) = 0.01083748020333734568 C1(293,739) = 1.008244068216360551 C2(293,739) = 1.738827930334308598 C3(293,739) = 5.762096684267339923 C4(293,739) = 5912 Sum = 3359.610799363537562 Averaged sum = 0.3356589868481903849 logp*logq = 37.51923232496735767 -------------- ************************************* p = 293; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20310098082107383.57 -------------- Searches starting with [293,743]-exponents: u = 64, v = 6 n_start has 176 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(293,743) = 0.6082745869487442101 D2(293,743) = 0.02101364766534058368 C1(293,743) = 0.8236675722320004675 C2(293,743) = 1.673757188759463620 C3(293,743) = 4.181606216014285688 C4(293,743) = 5944 Sum = 4310.008776279608121 Averaged sum = 0.4306133256348894117 logp*logq = 37.54989459974328152 -------------- ************************************* p = 293; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21583963781330608.95 -------------- Searches starting with [293,751]-exponents: u = 197, v = 6 n_start has 504 digits --- performed 5000 steps in the continued fraction search [293,751]-exponents: u = 74, v = 84 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,751) = 0.5322909325060307348 D2(293,751) = 0.1297326917219710794 C1(293,751) = 0.7072945125981572453 C2(293,751) = 1.434164281744565091 C3(293,751) = 3.416298206655413551 C4(293,751) = 6008 Sum = 4851.776811107080575 Averaged sum = 0.4852262037310811656 logp*logq = 37.61072701634144026 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,751) = 0.5322909325060307348 D2(293,751) = 0.1297326917219710794 C1(293,751) = 0.7072945125981572453 C2(293,751) = 1.434164281744565091 C3(293,751) = 3.416298206655413551 C4(293,751) = 6008 Sum = 4851.776811107080575 Averaged sum = 0.4852262037310811656 logp*logq = 37.61072701634144026 -------------- ************************************* p = 293; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22581955823568778.61 -------------- Searches starting with [293,757]-exponents: u = 7, v = 377 n_start has 1103 digits --- performed 5000 steps in the continued fraction search [293,757]-exponents: u = 192, v = 207 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,757) = 0.6534914989856439040 D2(293,757) = 0.3450545761182095766 C1(293,757) = 0.8399783039142156750 C2(293,757) = 1.463532556067888817 C3(293,757) = 4.301771334324559030 C4(293,757) = 6056 Sum = 5358.500375497043079 Averaged sum = 0.5359036279124955575 logp*logq = 37.65592756739966701 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,757) = 0.6534914989856439040 D2(293,757) = 0.3450545761182095766 C1(293,757) = 0.8399783039142156750 C2(293,757) = 1.463532556067888817 C3(293,757) = 4.301771334324559030 C4(293,757) = 6056 Sum = 5358.500375497043079 Averaged sum = 0.5359036279124955575 logp*logq = 37.65592756739966701 -------------- ************************************* p = 293; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23268168675873669.53 -------------- Searches starting with [293,761]-exponents: u = 7, v = 119 n_start has 361 digits --- performed 5000 steps in the continued fraction search [293,761]-exponents: u = 41, v = 46 --- starting right neighbors generation We generated 8320 left neighbors We generated 1690 right neighbors We generated 10009 non-negative rho_i D1(293,761) = 0.5662135537248728104 D2(293,761) = 0.006456377045915791846 C1(293,761) = 0.7655272517799180032 C2(293,761) = 1.534704650202916796 C3(293,761) = 3.779934822871607322 C4(293,761) = 6088 Sum = 4578.108307718440663 Averaged sum = 0.4573991715174783358 logp*logq = 37.68586267019687802 -------------- ************************************* p = 293; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24692197782978573.30 -------------- Searches starting with [293,769]-exponents: u = 7, v = 47 n_start has 153 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(293,769) = 0.6731560136063588796 D2(293,769) = 0.02229977296773483829 C1(293,769) = 0.9564662998087639707 C2(293,769) = 1.701879824137265402 C3(293,769) = 5.266491461715199205 C4(293,769) = 6152 Sum = 4431.347210109016236 Averaged sum = 0.4427362583783610986 logp*logq = 37.74526370941262698 -------------- ************************************* p = 293; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25430684578752893.29 -------------- Searches starting with [293,773]-exponents: u = 7, v = 35 n_start has 119 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(293,773) = 0.7710716362069494301 D2(293,773) = 0.001609964368664673831 C1(293,773) = 1.117046246394576971 C2(293,773) = 1.766935848211101997 C3(293,773) = 6.960760948134583762 C4(293,773) = 6184 Sum = 4483.063001015756530 Averaged sum = 0.4479031872330658937 logp*logq = 37.77473289410635671 -------------- ************************************* p = 293; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28160239956151935.20 -------------- Searches starting with [293,787]-exponents: u = 7, v = 17 n_start has 67 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(293,787) = 1.069329001162687972 D2(293,787) = 0.09174937315117842623 C1(293,787) = 1.632889910738025825 C2(293,787) = 1.859974730405679269 C3(293,787) = 17.05255019956455418 C4(293,787) = 6296 Sum = 4500.568622555204117 Averaged sum = 0.4496521752977524345 logp*logq = 37.87668744733439010 -------------- ************************************* p = 293; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30254089226347897.34 -------------- Searches starting with [293,797]-exponents: u = 7, v = 17 n_start has 67 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(293,797) = 0.7456238273084094559 D2(293,797) = 0.006680330220018158473 C1(293,797) = 1.177987221889025809 C2(293,797) = 1.777768085647983480 C3(293,797) = 7.737991473742996209 C4(293,797) = 6376 Sum = 3776.978384423313238 Averaged sum = 0.3773582160478882244 logp*logq = 37.94840775128769692 -------------- ************************************* p = 293; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32934383698329784.21 -------------- Searches starting with [293,809]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(293,809) = 0.7629024879531228877 D2(293,809) = 0.04145854744306766884 C1(293,809) = 1.018634684092061489 C2(293,809) = 1.942710303400387526 C3(293,809) = 5.867036933019221250 C4(293,809) = 6472 Sum = 3835.397109717262152 Averaged sum = 0.3831948356196685135 logp*logq = 38.03329360416178660 -------------- ************************************* p = 293; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33399546896905875.85 -------------- Searches starting with [293,811]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(293,811) = 0.8017581373371516106 D2(293,811) = 0.04741461100605706629 C1(293,811) = 1.090190356551903297 C2(293,811) = 1.949100657313866879 C3(293,811) = 6.643511160239899273 C4(293,811) = 6488 Sum = 4253.574672089884076 Averaged sum = 0.4249749897182419898 logp*logq = 38.04731872884041959 -------------- ************************************* p = 293; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35807349426382888.14 -------------- Searches starting with [293,821]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(293,821) = 0.9058209540953553255 D2(293,821) = 0.05888695766488804391 C1(293,821) = 1.189963926888053490 C2(293,821) = 1.268680699550454709 C3(293,821) = 7.900653447099701246 C4(293,821) = 6568 Sum = 4033.471840145467694 Averaged sum = 0.4029844979663770301 logp*logq = 38.11692955848772232 -------------- ************************************* p = 293; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36305655996407128.74 -------------- Searches starting with [293,823]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(293,823) = 1.906396612597838407 D2(293,823) = 0.04785660719063247403 C1(293,823) = 3.197406849947997706 C2(293,823) = 1.121404527620823166 C3(293,823) = 258.2264553371952122 C4(293,823) = 6584 Sum = 3974.236805199435358 Averaged sum = 0.3970663208311954599 logp*logq = 38.13074993661717128 -------------- ************************************* p = 293; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37319419697544784.74 -------------- Searches starting with [293,827]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(293,827) = 0.7095897559786917089 D2(293,827) = 0.06831736922991550782 C1(293,827) = 0.9657203968816984629 C2(293,827) = 1.394513133084477380 C3(293,827) = 5.351830118221993984 C4(293,827) = 6616 Sum = 4046.122070848076967 Averaged sum = 0.4042483835396220368 logp*logq = 38.15829022139982484 -------------- ************************************* p = 293; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37834979444505814.11 -------------- Searches starting with [293,829]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(293,829) = 1.099797534896853650 D2(293,829) = 0.06291224799919460465 C1(293,829) = 1.530943346575789342 C2(293,829) = 1.995065559951564995 C3(293,829) = 14.28514885606774080 C4(293,829) = 6632 Sum = 5402.928913688695675 Averaged sum = 0.5398070650103602432 logp*logq = 38.17201045176392926 -------------- ************************************* p = 293; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40501639634512313.72 -------------- Searches starting with [293,839]-exponents: u = 13, v = 5 n_start has 47 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(293,839) = 1.053067893704482713 D2(293,839) = 0.02769778204579488885 C1(293,839) = 1.580851783915130107 C2(293,839) = 1.962269571224807010 C3(293,839) = 15.57879188066145236 C4(293,839) = 6712 Sum = 4365.229974068036811 Averaged sum = 0.4361304799748263374 logp*logq = 38.24011885300646439 -------------- ************************************* p = 293; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44493483115004177.17 -------------- Searches starting with [293,853]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(293,853) = 0.8459159427613514574 D2(293,853) = 0.1404264650781506914 C1(293,853) = 1.152828314538755138 C2(293,853) = 1.497360431459248361 C3(293,853) = 7.407119221822626140 C4(293,853) = 6824 Sum = 4445.291811597719710 Averaged sum = 0.4441294646415945359 logp*logq = 38.33411912650465353 -------------- ************************************* p = 293; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45691701135726203.70 -------------- Searches starting with [293,857]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(293,857) = 0.5818946961355201234 D2(293,857) = 0.1187519674720194051 C1(293,857) = 0.7833474740301603615 C2(293,857) = 1.935543401804412365 C3(293,857) = 3.898766282970268913 C4(293,857) = 6856 Sum = 4096.549036823175786 Averaged sum = 0.4092865457911055836 logp*logq = 38.36069308191634344 -------------- ************************************* p = 293; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46300705038657534.21 -------------- Searches starting with [293,859]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(293,859) = 0.5995615861729551326 D2(293,859) = 0.1044043204011870570 C1(293,859) = 0.8747664666618050506 C2(293,859) = 1.921648245482977988 C3(293,859) = 4.569726130448376150 C4(293,859) = 6872 Sum = 3918.498317525776202 Averaged sum = 0.3914974840169623541 logp*logq = 38.37393358350372807 -------------- ************************************* p = 293; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47538787605023541.98 -------------- Searches starting with [293,863]-exponents: u = 19, v = 5 n_start has 62 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(293,863) = 0.7325365125073101928 D2(293,863) = 0.07753547866781560630 C1(293,863) = 0.9740775168458034110 C2(293,863) = 1.895681198973604192 C3(293,863) = 5.430084765256750906 C4(293,863) = 6904 Sum = 3997.122089260105790 Averaged sum = 0.3993527914137382146 logp*logq = 38.40032235388866602 -------------- ************************************* p = 293; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52088959055161101.69 -------------- Searches starting with [293,877]-exponents: u = 31, v = 5 n_start has 92 digits starting right neighbors generation We generated 367 left neighbors We generated 9643 right neighbors We generated 10009 non-negative rho_i D1(293,877) = 0.7870742325375812819 D2(293,877) = 0.08449874064687211689 C1(293,877) = 1.111077308713327398 C2(293,877) = 1.822190679185238464 C3(293,877) = 6.888965061403699126 C4(293,877) = 7016 Sum = 4460.813692506252086 Averaged sum = 0.4456802570193078315 logp*logq = 38.49172940288510276 -------------- ************************************* p = 293; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53452926714951359.30 -------------- Searches starting with [293,881]-exponents: u = 37, v = 5 n_start has 106 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(293,881) = 0.6813108858347430125 D2(293,881) = 0.05008422471495357602 C1(293,881) = 0.9162593914926343682 C2(293,881) = 1.788631084475135172 C3(293,881) = 4.911236402576351146 C4(293,881) = 7048 Sum = 4047.823702369438300 Averaged sum = 0.4044183936826294635 logp*logq = 38.51757778700898921 -------------- ************************************* p = 293; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54145864948094703.92 -------------- Searches starting with [293,883]-exponents: u = 37, v = 5 n_start has 107 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(293,883) = 0.5863423154325335979 D2(293,883) = 0.03414213283898881070 C1(293,883) = 0.7979854592557815468 C2(293,883) = 1.773114986341536758 C3(293,883) = 3.999166949072791058 C4(293,883) = 7064 Sum = 4139.538108371812879 Averaged sum = 0.4135815874085136256 logp*logq = 38.53045800252581701 -------------- ************************************* p = 293; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55553957065894496.64 -------------- Searches starting with [293,887]-exponents: u = 43, v = 5 n_start has 121 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(293,887) = 0.6405399062543571278 D2(293,887) = 0.004303667944388250319 C1(293,887) = 0.9264301845700318513 C2(293,887) = 1.744125597383573346 C3(293,887) = 4.998771608284426541 C4(293,887) = 7096 Sum = 4144.261489887982017 Averaged sum = 0.4140535008380439622 logp*logq = 38.55613114276881321 -------------- ************************************* p = 293; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63055053743681944.93 -------------- Searches starting with [293,907]-exponents: u = 223, v = 5 n_start has 565 digits --- performed 5000 steps in the continued fraction search [293,907]-exponents: u = 132, v = 57 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,907) = 0.6752123227020818682 D2(293,907) = 0.1462523166071966487 C1(293,907) = 0.8921152517194357600 C2(293,907) = 1.436637798284294508 C3(293,907) = 4.709528496954126466 C4(293,907) = 7256 Sum = 4888.407393504351361 Averaged sum = 0.4888896283132664627 logp*logq = 38.68278460864837861 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,907) = 0.6752123227020818682 D2(293,907) = 0.1462523166071966487 C1(293,907) = 0.8921152517194357600 C2(293,907) = 1.436637798284294508 C3(293,907) = 4.709528496954126466 C4(293,907) = 7256 Sum = 4888.407393504351361 Averaged sum = 0.4888896283132664627 logp*logq = 38.68278460864837861 -------------- ************************************* p = 293; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64650996125775904.24 -------------- Searches starting with [293,911]-exponents: u = 817, v = 5 n_start has 2031 digits --- performed 5000 steps in the continued fraction search [293,911]-exponents: u = 187, v = 524 --- **************************************************** Computing .... elapsed time = 34 minutes **************************************************** We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,911) = 0.7007685186760475320 D2(293,911) = 0.4238454735398052172 C1(293,911) = 0.8822906704686784444 C2(293,911) = 1.478568373829406815 C3(293,911) = 4.629841707853481764 C4(293,911) = 7288 Sum = 5667.277456172116865 Averaged sum = 0.5667844240596176482 logp*logq = 38.70777990798782230 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,911) = 0.7007685186760475320 D2(293,911) = 0.4238454735398052172 C1(293,911) = 0.8822906704686784444 C2(293,911) = 1.478568373829406815 C3(293,911) = 4.629841707853481764 C4(293,911) = 7288 Sum = 5667.277456172116865 Averaged sum = 0.5667844240596176482 logp*logq = 38.70777990798782230 -------------- ************************************* p = 293; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67942824871302147.12 -------------- Searches starting with [293,919]-exponents: u = 6, v = 159 n_start has 486 digits --- performed 5000 steps in the continued fraction search [293,919]-exponents: u = 22, v = 117 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,919) = 0.6515058751499636141 D2(293,919) = 0.07777893836432552124 C1(293,919) = 0.8669660614894358710 C2(293,919) = 1.437616686566452037 C3(293,919) = 4.508227744587984237 C4(293,919) = 7352 Sum = 4783.172858243690476 Averaged sum = 0.4783651223366027079 logp*logq = 38.75744293569105125 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(293,919) = 0.6515058751499636141 D2(293,919) = 0.07777893836432552124 C1(293,919) = 0.8669660614894358710 C2(293,919) = 1.437616686566452037 C3(293,919) = 4.508227744587984237 C4(293,919) = 7352 Sum = 4783.172858243690476 Averaged sum = 0.4783651223366027079 logp*logq = 38.75744293569105125 -------------- ************************************* p = 293; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72250617259769145.84 -------------- Searches starting with [293,929]-exponents: u = 6, v = 59 n_start has 190 digits starting right neighbors generation We generated 1874 left neighbors We generated 8136 right neighbors We generated 10009 non-negative rho_i D1(293,929) = 0.7620815165437926249 D2(293,929) = 0.02868276181115406254 C1(293,929) = 1.066819288963345993 C2(293,929) = 1.638485611842870032 C3(293,929) = 6.379217864385570199 C4(293,929) = 7432 Sum = 4709.927368673087153 Averaged sum = 0.4705692245652000352 logp*logq = 38.81891726525454052 -------------- ************************************* p = 293; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75856678980934386.76 -------------- Searches starting with [293,937]-exponents: u = 6, v = 39 n_start has 131 digits starting right neighbors generation We generated 892 left neighbors We generated 9118 right neighbors We generated 10009 non-negative rho_i D1(293,937) = 0.6183096729380853668 D2(293,937) = 0.02376675072952155115 C1(293,937) = 0.8888168702620515621 C2(293,937) = 1.731488682271537579 C3(293,937) = 4.682623680067015056 C4(293,937) = 7496 Sum = 4164.403446292723921 Averaged sum = 0.4160658853324731663 logp*logq = 38.86762215194968809 -------------- ************************************* p = 293; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77714548719992386.96 -------------- Searches starting with [293,941]-exponents: u = 6, v = 34 n_start has 116 digits starting right neighbors generation We generated 637 left neighbors We generated 9373 right neighbors We generated 10009 non-negative rho_i D1(293,941) = 0.5711479947862202900 D2(293,941) = 0.05845330480753637094 C1(293,941) = 0.7927275127737099050 C2(293,941) = 1.766818187779113576 C3(293,941) = 3.962809012119397884 C4(293,941) = 7528 Sum = 4223.976155581018689 Averaged sum = 0.4220177995385172034 logp*logq = 38.89181887697019589 -------------- ************************************* p = 293; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80571532763537524.25 -------------- Searches starting with [293,947]-exponents: u = 6, v = 29 n_start has 102 digits starting right neighbors generation We generated 536 left neighbors We generated 9474 right neighbors We generated 10009 non-negative rho_i D1(293,947) = 0.8429052453899840133 D2(293,947) = 0.03168341626160009304 C1(293,947) = 1.153787829651357512 C2(293,947) = 1.810298227032938958 C3(293,947) = 7.419474665305290116 C4(293,947) = 7576 Sum = 4304.128777152560946 Averaged sum = 0.4300258544462544656 logp*logq = 38.92792179051706754 -------------- ************************************* p = 293; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83514501649881247.39 -------------- Searches starting with [293,953]-exponents: u = 6, v = 24 n_start has 87 digits starting right neighbors generation We generated 341 left neighbors We generated 9669 right neighbors We generated 10009 non-negative rho_i D1(293,953) = 0.6007670211438698474 D2(293,953) = 0.07212271759416264923 C1(293,953) = 0.8516808490691890462 C2(293,953) = 1.851729741575105914 C3(293,953) = 4.390108675178091312 C4(293,953) = 7624 Sum = 3889.593311211000223 Averaged sum = 0.3886095824968528547 logp*logq = 38.96379668414184799 -------------- ************************************* p = 293; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90727236835240382.16 -------------- Searches starting with [293,967]-exponents: u = 6, v = 19 n_start has 72 digits starting right neighbors generation We generated 270 left neighbors We generated 9740 right neighbors We generated 10009 non-negative rho_i D1(293,967) = 0.6893011478650527143 D2(293,967) = 0.03457059675180298207 C1(293,967) = 1.071187805013552321 C2(293,967) = 1.912157706853837803 C3(293,967) = 6.427807691698001076 C4(293,967) = 7736 Sum = 3803.126505182876726 Averaged sum = 0.3799706769090695100 logp*logq = 39.04663400282013752 -------------- ************************************* p = 293; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92879709171363756.75 -------------- Searches starting with [293,971]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(293,971) = 1.023742754976970554 D2(293,971) = 0.05193155289183798775 C1(293,971) = 1.376325116373244079 C2(293,971) = 1.930204861559697914 C3(293,971) = 10.92060565742155668 C4(293,971) = 7768 Sum = 4225.578332101277854 Averaged sum = 0.4221778731243159011 logp*logq = 39.07008160106548530 -------------- ************************************* p = 293; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96187182732522603.30 -------------- Searches starting with [293,977]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(293,977) = 0.7302323565646600426 D2(293,977) = 0.07944590950409144599 C1(293,977) = 1.074084390509464739 C2(293,977) = 1.958743142151160577 C3(293,977) = 6.460229515730625877 C4(293,977) = 7816 Sum = 3795.758025925637126 Averaged sum = 0.3792344915501685609 logp*logq = 39.10507250807702806 -------------- ************************************* p = 293; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99591098568300632.19 -------------- Searches starting with [293,983]-exponents: u = 6, v = 14 n_start has 57 digits starting right neighbors generation We generated 135 left neighbors We generated 9875 right neighbors We generated 10009 non-negative rho_i D1(293,983) = 0.8573358520955655758 D2(293,983) = 0.1090911238461313532 C1(293,983) = 1.203329978446964361 C2(293,983) = 1.989405902689844919 C3(293,983) = 8.086225485798790642 C4(293,983) = 7864 Sum = 4778.215901164202638 Averaged sum = 0.4773919373727847575 logp*logq = 39.13984918370312963 -------------- ************************************* p = 293; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104283477937102506.9 -------------- Searches starting with [293,991]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(293,991) = 0.8643252502239232612 D2(293,991) = 0.09554114892334716168 C1(293,991) = 1.394224305483128967 C2(293,991) = 1.271264135641340875 C3(293,991) = 11.26546661211784428 C4(293,991) = 7928 Sum = 3439.278517694928980 Averaged sum = 0.3436185950339623319 logp*logq = 39.18588933532913042 -------------- ************************************* p = 293; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107921034830043881.2 -------------- Searches starting with [293,997]-exponents: u = 6, v = 9 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(293,997) = 0.6048201159196609735 D2(293,997) = 0.1174274672048784356 C1(293,997) = 0.8593749390262388880 C2(293,997) = 1.919877512685149848 C3(293,997) = 4.449174061497279168 C4(293,997) = 7976 Sum = 3643.858884727102773 Averaged sum = 0.3640582360602560468 logp*logq = 39.22017619562673955 -------------- ************************************* p = 307; q = 311; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 188651046707005.1877 -------------- Searches starting with [307,311]-exponents: u = 1, v = 442 n_start has 1105 digits --- performed 5000 steps in the continued fraction search [307,311]-exponents: u = 193, v = 239 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(307,311) = 0.6734400923622909117 D2(307,311) = 0.1399460694318013213 C1(307,311) = 0.8663097363893674485 C2(307,311) = 1.143998190173694786 C3(307,311) = 4.535129532408150385 C4(307,311) = 2488 Sum = 5547.334765093664777 Averaged sum = 0.5547889554049069684 logp*logq = 32.87092011073060592 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(307,311) = 0.6734400923622909117 D2(307,311) = 0.1399460694318013213 C1(307,311) = 0.8663097363893674485 C2(307,311) = 1.143998190173694786 C3(307,311) = 4.535129532408150385 C4(307,311) = 2488 Sum = 5547.334765093664777 Averaged sum = 0.5547889554049069684 logp*logq = 32.87092011073060592 -------------- ************************************* p = 307; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 195705246511909.7455 -------------- Searches starting with [307,313]-exponents: u = 1, v = 295 n_start has 739 digits --- performed 5000 steps in the continued fraction search [307,313]-exponents: u = 121, v = 158 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(307,313) = 0.5469022981090256606 D2(307,313) = 0.004987328632827374884 C1(307,313) = 0.7146309932303679231 C2(307,313) = 1.075079057929664445 C3(307,313) = 3.480406768850742362 C4(307,313) = 2504 Sum = 5320.359464402027751 Averaged sum = 0.5320891553557383489 logp*logq = 32.90763079892324232 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(307,313) = 0.5469022981090256606 D2(307,313) = 0.004987328632827374884 C1(307,313) = 0.7146309932303679231 C2(307,313) = 1.075079057929664445 C3(307,313) = 3.480406768850742362 C4(307,313) = 2504 Sum = 5320.359464402027751 Averaged sum = 0.5320891553557383489 logp*logq = 32.90763079892324232 -------------- ************************************* p = 307; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 210467771392406.9580 -------------- Searches starting with [307,317]-exponents: u = 1, v = 178 n_start has 448 digits starting right neighbors generation We generated 3728 left neighbors We generated 6282 right neighbors We generated 10009 non-negative rho_i D1(307,317) = 0.6515695752810525573 D2(307,317) = 0.009195537777694868439 C1(307,317) = 0.8705385773562939951 C2(307,317) = 1.159635882111010879 C3(307,317) = 4.568722714421336944 C4(307,317) = 2536 Sum = 5029.877326780566959 Averaged sum = 0.5025354507723615704 logp*logq = 32.98035365230501867 -------------- ************************************* p = 307; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269569821127355.2495 -------------- Searches starting with [307,331]-exponents: u = 1, v = 76 n_start has 194 digits starting right neighbors generation We generated 802 left neighbors We generated 9208 right neighbors We generated 10009 non-negative rho_i D1(307,331) = 0.8322013854304090505 D2(307,331) = 0.003178443473048082352 C1(307,331) = 1.166547323564974260 C2(307,331) = 1.324941202467471467 C3(307,331) = 7.658513074254547386 C4(307,331) = 2648 Sum = 3923.764381250176726 Averaged sum = 0.3920236168698348212 logp*logq = 33.22784854926242034 -------------- ************************************* p = 307; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 298780056145666.4732 -------------- Searches starting with [307,337]-exponents: u = 1, v = 61 n_start has 157 digits starting right neighbors generation We generated 530 left neighbors We generated 9480 right neighbors We generated 10009 non-negative rho_i D1(307,337) = 0.6457979046090171156 D2(307,337) = 0.0003477391942987045003 C1(307,337) = 0.8792177115433028435 C2(307,337) = 1.374106752429537536 C3(307,337) = 4.638449707491662310 C4(307,337) = 2696 Sum = 4278.919836182856263 Averaged sum = 0.4275072271138831315 logp*logq = 33.33072882045911679 -------------- ************************************* p = 307; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 353248340948125.2794 -------------- Searches starting with [307,347]-exponents: u = 1, v = 46 n_start has 120 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(307,347) = 0.6242609854378928172 D2(307,347) = 0.04258191290186303412 C1(307,347) = 0.9056823258493839898 C2(307,347) = 1.483129205595251373 C3(307,347) = 4.857701194845573101 C4(307,347) = 2776 Sum = 4381.672821329078071 Averaged sum = 0.4377732861753499921 logp*logq = 33.49819244094464821 -------------- ************************************* p = 307; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365068254122847.4760 -------------- Searches starting with [307,349]-exponents: u = 1, v = 44 n_start has 115 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(307,349) = 0.9758387888897048199 D2(307,349) = 0.03676073082928751776 C1(307,349) = 1.321978330430899878 C2(307,349) = 1.490983688190088771 C3(307,349) = 10.04495623061597256 C4(307,349) = 2792 Sum = 4508.665595798487896 Averaged sum = 0.4504611445497540109 logp*logq = 33.53110544962601085 -------------- ************************************* p = 307; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 389688718296661.1128 -------------- Searches starting with [307,353]-exponents: u = 1, v = 41 n_start has 107 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(307,353) = 1.098853555093969648 D2(307,353) = 0.05291593350410649667 C1(307,353) = 1.611923565149860726 C2(307,353) = 1.529803951328854510 C3(307,353) = 16.66103881094067119 C4(307,353) = 2824 Sum = 3008.839859254329959 Averaged sum = 0.3006134338349815126 logp*logq = 33.59636937814069167 -------------- ************************************* p = 307; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 429177442767143.2319 -------------- Searches starting with [307,359]-exponents: u = 1, v = 36 n_start has 95 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(307,359) = 0.5701695192113646628 D2(307,359) = 0.05302604626476909459 C1(307,359) = 0.8006407247131881814 C2(307,359) = 1.564380069133105603 C3(307,359) = 4.044064978604129699 C4(307,359) = 2872 Sum = 4355.226440355427081 Averaged sum = 0.4351310261120418704 logp*logq = 33.69289156884342876 -------------- ************************************* p = 307; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 486913788765752.5808 -------------- Searches starting with [307,367]-exponents: u = 1, v = 32 n_start has 85 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(307,367) = 0.8076853845397164614 D2(307,367) = 0.06035380048830629692 C1(307,367) = 1.210823416132238605 C2(307,367) = 1.612864073660805653 C3(307,367) = 8.273742511377274410 C4(307,367) = 2936 Sum = 2544.765568541795550 Averaged sum = 0.2542477338936752473 logp*logq = 33.81910819821868376 -------------- ************************************* p = 307; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 534299700688357.8798 -------------- Searches starting with [307,373]-exponents: u = 1, v = 29 n_start has 78 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(307,373) = 0.6980592899741347632 D2(307,373) = 0.01180894205733061911 C1(307,373) = 0.9405473962558253721 C2(307,373) = 1.600353154410551015 C3(307,373) = 5.162446680895960743 C4(307,373) = 2984 Sum = 4106.489040998015941 Averaged sum = 0.4102796524126302269 logp*logq = 33.91197803469813957 -------------- ************************************* p = 307; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 585428891436589.1994 -------------- Searches starting with [307,379]-exponents: u = 1, v = 27 n_start has 73 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(307,379) = 0.6389780664598737284 D2(307,379) = 0.009311279737188955981 C1(307,379) = 0.9736520560292028040 C2(307,379) = 1.625849903227709057 C3(307,379) = 5.469481006018139066 C4(307,379) = 3032 Sum = 4058.702415986037256 Averaged sum = 0.4055052868404473230 logp*logq = 34.00336584229372764 -------------- ************************************* p = 307; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 621707462406362.1655 -------------- Searches starting with [307,383]-exponents: u = 1, v = 25 n_start has 68 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(307,383) = 0.7373160823355574612 D2(307,383) = 0.02241494870808243015 C1(307,383) = 1.127729338823985369 C2(307,383) = 1.654495168112152554 C3(307,383) = 7.156879423828663900 C4(307,383) = 3064 Sum = 3951.977378645782666 Averaged sum = 0.3948423797228277216 logp*logq = 34.06349078035902108 -------------- ************************************* p = 307; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 679590095467948.8745 -------------- Searches starting with [307,389]-exponents: u = 1, v = 24 n_start has 65 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(307,389) = 0.6946773490141294400 D2(307,389) = 0.07910331091900260797 C1(307,389) = 0.9453506537187018969 C2(307,389) = 1.728374113912701939 C3(307,389) = 5.205902656557020461 C4(307,389) = 3112 Sum = 4136.352318743257788 Averaged sum = 0.4132632949089077618 logp*logq = 34.15251093155883480 -------------- ************************************* p = 307; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 763620467028750.6934 -------------- Searches starting with [307,397]-exponents: u = 1, v = 22 n_start has 60 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(307,397) = 0.5761475258337712692 D2(307,397) = 0.04791212618078098139 C1(307,397) = 0.7979813066560611765 C2(307,397) = 1.733115167298179900 C3(307,397) = 4.025339459023602374 C4(307,397) = 3176 Sum = 4327.881179663428883 Averaged sum = 0.4323989589033298914 logp*logq = 34.26909201075874638 -------------- ************************************* p = 307; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 808744773349921.5849 -------------- Searches starting with [307,401]-exponents: u = 1, v = 21 n_start has 58 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(307,401) = 0.6159908332829087774 D2(307,401) = 0.01788992018845539354 C1(307,401) = 0.8983919650470273049 C2(307,401) = 1.722869105744917773 C3(307,401) = 4.796288724778600942 C4(307,401) = 3208 Sum = 3982.789527821905682 Averaged sum = 0.3979208240405540695 logp*logq = 34.32650449909516711 -------------- ************************************* p = 307; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 905611114168486.6019 -------------- Searches starting with [307,409]-exponents: u = 1, v = 19 n_start has 53 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(307,409) = 0.9501840978168197950 D2(307,409) = 0.05961448024644203029 C1(307,409) = 1.494843662877535012 C2(307,409) = 1.787291810245461588 C3(307,409) = 13.58205195140896358 C4(307,409) = 3272 Sum = 4212.951176877849566 Averaged sum = 0.4209162930240632996 logp*logq = 34.43963109601470904 -------------- ************************************* p = 307; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1039969185167465.898 -------------- Searches starting with [307,419]-exponents: u = 1, v = 18 n_start has 50 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(307,419) = 0.6165698456460790963 D2(307,419) = 0.1283584551866582787 C1(307,419) = 0.8517813784563128049 C2(307,419) = 1.881078892718140771 C3(307,419) = 4.421589560927517242 C4(307,419) = 3352 Sum = 4235.528258217332039 Averaged sum = 0.4231719710477901927 logp*logq = 34.57796747797833250 -------------- ************************************* p = 307; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1068720178968169.379 -------------- Searches starting with [307,421]-exponents: u = 1, v = 18 n_start has 50 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(307,421) = 0.6678613054200367267 D2(307,421) = 0.008330918954942372040 C1(307,421) = 1.063754647946229939 C2(307,421) = 1.785034701236485583 C3(307,421) = 6.400829837274746918 C4(307,421) = 3368 Sum = 4046.594843242384349 Averaged sum = 0.4042956182677974172 logp*logq = 34.60523823307038854 -------------- ************************************* p = 307; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1222503808281143.041 -------------- Searches starting with [307,431]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(307,431) = 0.6869041774116683221 D2(307,431) = 0.02519209298293650398 C1(307,431) = 1.101647123842670086 C2(307,431) = 1.830993380591249551 C3(307,431) = 6.838417027557119373 C4(307,431) = 3448 Sum = 4187.831689443608867 Averaged sum = 0.4184066030016593932 logp*logq = 34.73967745243112242 -------------- ************************************* p = 307; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1255349837718576.948 -------------- Searches starting with [307,433]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(307,433) = 0.7462002667468587304 D2(307,433) = 0.05919903062275473186 C1(307,433) = 1.074196998966490908 C2(307,433) = 1.865721133666559757 C3(307,433) = 6.518545525506903298 C4(307,433) = 3464 Sum = 4412.383497394959838 Averaged sum = 0.4408415923064202056 logp*logq = 34.76619068380367770 -------------- ************************************* p = 307; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1358288381434255.366 -------------- Searches starting with [307,439]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(307,439) = 1.183652481823400590 D2(307,439) = 0.1035838854324439732 C1(307,439) = 1.912754754244324924 C2(307,439) = 1.105487691465430473 C3(307,439) = 28.16480433221512734 C4(307,439) = 3512 Sum = 1559.230373764298539 Averaged sum = 0.1557828328268856568 logp*logq = 34.84500175896516812 -------------- ************************************* p = 307; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1430708702184222.804 -------------- Searches starting with [307,443]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(307,443) = 0.5668769848231447318 D2(307,443) = 0.04768785946028664940 C1(307,443) = 0.7907610745971114395 C2(307,443) = 1.885851524498468841 C3(307,443) = 3.974936395665657098 C4(307,443) = 3544 Sum = 4318.236523035778025 Averaged sum = 0.4314353604791465705 logp*logq = 34.89694631234841994 -------------- ************************************* p = 307; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1545293522057244.036 -------------- Searches starting with [307,449]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(307,449) = 0.8209017528547849012 D2(307,449) = 0.1058200140794331740 C1(307,449) = 1.337655576593680119 C2(307,449) = 1.229384909851589165 C3(307,449) = 10.32357408451404048 C4(307,449) = 3592 Sum = 3791.901755398945194 Averaged sum = 0.3788492112497697266 logp*logq = 34.97399026913018937 -------------- ************************************* p = 307; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1709759789920499.587 -------------- Searches starting with [307,457]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(307,457) = 0.7566912164244266082 D2(307,457) = 0.06819816892402556003 C1(307,457) = 1.060699127956475898 C2(307,457) = 1.942451504331796947 C3(307,457) = 6.366788973730887121 C4(307,457) = 3656 Sum = 4534.749564318440629 Averaged sum = 0.4530671959554841271 logp*logq = 35.07512928182719315 -------------- ************************************* p = 307; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1797254769545773.493 -------------- Searches starting with [307,461]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(307,461) = 0.7479977700611596931 D2(307,461) = 0.09952152252916100561 C1(307,461) = 1.230107366600807468 C2(307,461) = 1.284273010451475815 C3(307,461) = 8.556922697361507260 C4(307,461) = 3688 Sum = 4121.279685791552392 Averaged sum = 0.4117573869309174135 logp*logq = 35.12503676759107957 -------------- ************************************* p = 307; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1842368477844278.154 -------------- Searches starting with [307,463]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(307,463) = 0.8213814375250020142 D2(307,463) = 0.1037266989734817792 C1(307,463) = 1.350709268880751506 C2(307,463) = 1.233341986845630711 C3(307,463) = 10.56145313458859548 C4(307,463) = 3704 Sum = 4042.979712455299040 Averaged sum = 0.4039344302582974363 logp*logq = 35.14982835499875261 -------------- ************************************* p = 307; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1935402800206530.650 -------------- Searches starting with [307,467]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(307,467) = 0.7229222364283930294 D2(307,467) = 0.00003606661627699957499 C1(307,467) = 1.056314292878337223 C2(307,467) = 1.912667224148187910 C3(307,467) = 6.318254573503571154 C4(307,467) = 3736 Sum = 4147.799303304181278 Averaged sum = 0.4144069640627616423 logp*logq = 35.19909186521041409 -------------- ************************************* p = 307; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2238068618724641.170 -------------- Searches starting with [307,479]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(307,479) = 0.8185592164037843239 D2(307,479) = 0.1156946992603831317 C1(307,479) = 1.121884821478116859 C2(307,479) = 1.397780381996567649 C3(307,479) = 7.084252781635678528 C4(307,479) = 3832 Sum = 4551.034994423213784 Averaged sum = 0.4546942745951857112 logp*logq = 35.34438966506525897 -------------- ************************************* p = 307; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2460759543575553.332 -------------- Searches starting with [307,487]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(307,487) = 0.6084690250653201091 D2(307,487) = 0.02027934309977588720 C1(307,487) = 0.8610193267581405517 C2(307,487) = 1.979196044651277282 C3(307,487) = 4.493451015863581846 C4(307,487) = 3896 Sum = 4014.998911337725717 Averaged sum = 0.4011388661542337613 logp*logq = 35.43924645475019112 -------------- ************************************* p = 307; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2578778149778209.646 -------------- Searches starting with [307,491]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(307,491) = 0.7568210723166555382 D2(307,491) = 0.06721797179918206261 C1(307,491) = 1.072068489040754434 C2(307,491) = 2.027459276973627335 C3(307,491) = 6.494376642853049393 C4(307,491) = 3928 Sum = 3867.669720065616310 Averaged sum = 0.3864191947313034579 logp*logq = 35.48609209630996461 -------------- ************************************* p = 307; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2828857249067663.190 -------------- Searches starting with [307,499]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(307,499) = 0.6192613037928050325 D2(307,499) = 0.09629641025598343797 C1(307,499) = 0.8791179251914344633 C2(307,499) = 1.797564929893349226 C3(307,499) = 4.637642021148986736 C4(307,499) = 3992 Sum = 4294.617275648108369 Averaged sum = 0.4290755595612057517 logp*logq = 35.57864922610107555 -------------- ************************************* p = 307; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2961205382877982.391 -------------- Searches starting with [307,503]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(307,503) = 0.9967190061411126622 D2(307,503) = 0.09205445745650550366 C1(307,503) = 1.416555551763459236 C2(307,503) = 1.794747964854700438 C3(307,503) = 11.84757873866301278 C4(307,503) = 4024 Sum = 4659.707078194273593 Averaged sum = 0.4655517112792760108 logp*logq = 35.62437280429875108 -------------- ************************************* p = 307; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3169280183412878.192 -------------- Searches starting with [307,509]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(307,509) = 0.8614006849997705310 D2(307,509) = 0.01091702079773887332 C1(307,509) = 1.277717692604268397 C2(307,509) = 2.022334478642977564 C3(307,509) = 9.298271418788520157 C4(307,509) = 4072 Sum = 3575.954131624955341 Averaged sum = 0.3572738666824813009 logp*logq = 35.69228088553665562 -------------- ************************************* p = 307; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3621729380470658.312 -------------- Searches starting with [307,521]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(307,521) = 0.6713201448717658800 D2(307,521) = 0.07547065071641937116 C1(307,521) = 0.9461624086429439286 C2(307,521) = 1.818644958595512860 C3(307,521) = 5.213282806547478174 C4(307,521) = 4168 Sum = 4442.070760433929373 Averaged sum = 0.4438076491591497026 logp*logq = 35.82572803608378388 -------------- ************************************* p = 307; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3702075518818870.346 -------------- Searches starting with [307,523]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(307,523) = 1.563392659596047590 D2(307,523) = 0.07352075780066730528 C1(307,523) = 2.272035241857707743 C2(307,523) = 1.817390945310910485 C3(307,523) = 52.72432618103629147 C4(307,523) = 4184 Sum = 6804.456725665683279 Averaged sum = 0.6798338221266543389 logp*logq = 35.84767000831877359 -------------- ************************************* p = 307; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4493705441480724.626 -------------- Searches starting with [307,541]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(307,541) = 0.6672938122947034799 D2(307,541) = 0.03355960246318558989 C1(307,541) = 1.153140585066547694 C2(307,541) = 2.107729208819083512 C3(307,541) = 7.481406994451018246 C4(307,541) = 4328 Sum = 3951.191419525875642 Averaged sum = 0.3947638544835523671 logp*logq = 36.04145402168381535 -------------- ************************************* p = 307; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4786703782942079.718 -------------- Searches starting with [307,547]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(307,547) = 0.7211905070271725326 D2(307,547) = 0.05261561089431232821 C1(307,547) = 1.246066061166682151 C2(307,547) = 1.844279713422648135 C3(307,547) = 8.798587407352579776 C4(307,547) = 4376 Sum = 4365.187530794634082 Averaged sum = 0.4361262394639458570 logp*logq = 36.10461842392912560 -------------- ************************************* p = 307; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5310001450087604.219 -------------- Searches starting with [307,557]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(307,557) = 0.6217281418206347703 D2(307,557) = 0.04387921067780035534 C1(307,557) = 0.8419356683989720222 C2(307,557) = 1.838899009075609205 C3(307,557) = 4.346265060796747798 C4(307,557) = 4456 Sum = 4058.766879457614011 Averaged sum = 0.4055117273911094026 logp*logq = 36.20836850325067326 -------------- ************************************* p = 307; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5646025116341544.305 -------------- Searches starting with [307,563]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(307,563) = 0.8396140702046018600 D2(307,563) = 0.03557157548621046971 C1(307,563) = 1.162125676275759502 C2(307,563) = 1.682806929958958180 C3(307,563) = 7.599643544013332289 C4(307,563) = 4504 Sum = 4596.577693110784587 Averaged sum = 0.4592444493067024265 logp*logq = 36.26972817325166744 -------------- ************************************* p = 307; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5999409095100064.487 -------------- Searches starting with [307,569]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(307,569) = 0.6549062510063557916 D2(307,569) = 0.02932431808372935453 C1(307,569) = 0.9221517170241572641 C2(307,569) = 1.587703610378903747 C3(307,569) = 4.999346130432327502 C4(307,569) = 4552 Sum = 4283.799213475589403 Averaged sum = 0.4279947260940742735 logp*logq = 36.33043737513886868 -------------- ************************************* p = 307; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6121181928606072.774 -------------- Searches starting with [307,571]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(307,571) = 0.6224102247674375858 D2(307,571) = 0.02678231437542401531 C1(307,571) = 0.8445229340664720035 C2(307,571) = 1.522422193759416342 C3(307,571) = 4.365933714039752608 C4(307,571) = 4568 Sum = 4169.919723888786354 Averaged sum = 0.4166170170735124742 logp*logq = 36.35053159837780163 -------------- ************************************* p = 307; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6498804705668709.716 -------------- Searches starting with [307,577]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(307,577) = 0.7449273551558655986 D2(307,577) = 0.007308826266349712869 C1(307,577) = 1.309724681500094772 C2(307,577) = 2.154675426527602628 C3(307,577) = 9.832428943999048837 C4(307,577) = 4616 Sum = 4087.438366309805578 Averaged sum = 0.4083762979628140252 logp*logq = 36.41039466346659041 -------------- ************************************* p = 307; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7170820873768670.947 -------------- Searches starting with [307,587]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(307,587) = 0.8350908165350614490 D2(307,587) = 0.02016128918920906282 C1(307,587) = 1.192507428642966609 C2(307,587) = 1.871740444216911873 C3(307,587) = 8.013459155639847033 C4(307,587) = 4696 Sum = 3753.091892069396241 Averaged sum = 0.3749717146637422561 logp*logq = 36.50879653024501150 -------------- ************************************* p = 307; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7600847596247827.267 -------------- Searches starting with [307,593]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(307,593) = 0.7698152105707918495 D2(307,593) = 0.01551536336739544790 C1(307,593) = 1.063485075008551318 C2(307,593) = 1.869021341611050272 C3(307,593) = 6.397819279426390397 C4(307,593) = 4744 Sum = 4235.366732146433305 Averaged sum = 0.4231558329649748531 logp*logq = 36.56703616180651104 -------------- ************************************* p = 307; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8051940219839876.789 -------------- Searches starting with [307,599]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(307,599) = 0.6844148050951710051 D2(307,599) = 0.01096734082747299073 C1(307,599) = 0.9684824031845737596 C2(307,599) = 1.866380348408939911 C3(307,599) = 5.420357828950082376 C4(307,599) = 4792 Sum = 3918.353090781707443 Averaged sum = 0.3914829744012096556 logp*logq = 36.62468947839835996 -------------- ************************************* p = 307; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8207124296018134.175 -------------- Searches starting with [307,601]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(307,601) = 0.7174956669054229136 D2(307,601) = 0.009472392658961785939 C1(307,601) = 1.142799571018802585 C2(307,601) = 1.865516747363150584 C3(307,601) = 7.347602700425020541 C4(307,601) = 4808 Sum = 3965.627221137686777 Averaged sum = 0.3962061365908369244 logp*logq = 36.64377898856580275 -------------- ************************************* p = 307; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8687561391523300.662 -------------- Searches starting with [307,607]-exponents: u = 19, v = 8 n_start has 70 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(307,607) = 1.003583900901598737 D2(307,607) = 0.004617693441920551535 C1(307,607) = 1.458482276696162281 C2(307,607) = 1.703918848818016260 C3(307,607) = 12.74695709836561097 C4(307,607) = 4856 Sum = 4365.499134694121940 Averaged sum = 0.4361573718347609092 logp*logq = 36.70066867242679123 -------------- ************************************* p = 307; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9190978284195175.258 -------------- Searches starting with [307,613]-exponents: u = 28, v = 8 n_start has 92 digits starting right neighbors generation We generated 417 left neighbors We generated 9593 right neighbors We generated 10009 non-negative rho_i D1(307,613) = 0.6586385073279002807 D2(307,613) = 0.0006162762195097075491 C1(307,613) = 0.9339922202661954194 C2(307,613) = 1.605754141718984427 C3(307,613) = 5.103725507645062870 C4(307,613) = 4904 Sum = 4212.840089175763765 Averaged sum = 0.4209051942427578944 logp*logq = 36.75699877655893721 -------------- ************************************* p = 307; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9539778843654656.728 -------------- Searches starting with [307,617]-exponents: u = 37, v = 8 n_start has 115 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(307,617) = 0.7477693854434076104 D2(307,617) = 0.05956433998338067505 C1(307,617) = 1.088621633718302416 C2(307,617) = 1.761243378535522755 C3(307,617) = 6.684722129533650747 C4(307,617) = 4936 Sum = 4367.527961098489747 Averaged sum = 0.4363600720450084670 logp*logq = 36.79424669809532415 -------------- ************************************* p = 307; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9718232955232144.585 -------------- Searches starting with [307,619]-exponents: u = 55, v = 8 n_start has 160 digits starting right neighbors generation We generated 1740 left neighbors We generated 8270 right neighbors We generated 10009 non-negative rho_i D1(307,619) = 1.310411817082666015 D2(307,619) = 0.04614506600721870585 C1(307,619) = 1.881086891523230824 C2(307,619) = 1.748419552331481471 C3(307,619) = 26.65048825949231045 C4(307,619) = 4952 Sum = 4218.768564492300753 Averaged sum = 0.4214975086914078082 logp*logq = 36.81278020212716495 -------------- ************************************* p = 307; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10847803986993331.99 -------------- Searches starting with [307,631]-exponents: u = 9, v = 151 n_start has 446 digits starting right neighbors generation We generated 4648 left neighbors We generated 5362 right neighbors We generated 10009 non-negative rho_i D1(307,631) = 0.7372932847657125241 D2(307,631) = 0.002760665885700753676 C1(307,631) = 1.212431676831350418 C2(307,631) = 1.234955793187619547 C3(307,631) = 8.296996883183382654 C4(307,631) = 5048 Sum = 4382.707027209392655 Averaged sum = 0.4378766137685475727 logp*logq = 36.92273905689987792 -------------- ************************************* p = 307; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11869941652251340.84 -------------- Searches starting with [307,641]-exponents: u = 9, v = 31 n_start has 110 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(307,641) = 0.7712882881971536182 D2(307,641) = 0.04662363991707914116 C1(307,641) = 1.079343591566136029 C2(307,641) = 1.606022429179203292 C3(307,641) = 6.577356564450598044 C4(307,641) = 5128 Sum = 4504.868015396934796 Averaged sum = 0.4500817279845074229 logp*logq = 37.01278568795584528 -------------- ************************************* p = 307; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12083609586017790.63 -------------- Searches starting with [307,643]-exponents: u = 9, v = 23 n_start has 87 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(307,643) = 0.8530083808200365513 D2(307,643) = 0.05846044545894095000 C1(307,643) = 1.271712979285837672 C2(307,643) = 1.690600603414784702 C3(307,643) = 9.201341576240756376 C4(307,643) = 5144 Sum = 4273.397690177511982 Averaged sum = 0.4269555090595975603 logp*logq = 37.03062634957304866 -------------- ************************************* p = 307; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12520476240863507.12 -------------- Searches starting with [307,647]-exponents: u = 9, v = 23 n_start has 88 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(307,647) = 0.9394057502447972714 D2(307,647) = 0.07861419709923263936 C1(307,647) = 1.251540807560783691 C2(307,647) = 1.711794696867271193 C3(307,647) = 8.883054951017630960 C4(307,647) = 5176 Sum = 3960.842605301554609 Averaged sum = 0.3957281052354435617 logp*logq = 37.06614179826682421 -------------- ************************************* p = 307; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13200160501180387.77 -------------- Searches starting with [307,653]-exponents: u = 9, v = 15 n_start has 65 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(307,653) = 0.8327526381505512442 D2(307,653) = 0.1184625562862840152 C1(307,653) = 1.124366939725167218 C2(307,653) = 1.859660333575183286 C3(307,653) = 7.115006244903099719 C4(307,653) = 5224 Sum = 4150.232485951385068 Averaged sum = 0.4146500635379543479 logp*logq = 37.11900538360942060 -------------- ************************************* p = 307; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13910014646275942.99 -------------- Searches starting with [307,659]-exponents: u = 17, v = 7 n_start has 63 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(307,659) = 1.182642422689807750 D2(307,659) = 0.09780111393917226691 C1(307,659) = 1.911110845748486943 C2(307,659) = 1.182856165063860599 C3(307,659) = 28.08411834603758700 C4(307,659) = 5272 Sum = 3239.708077233285462 Averaged sum = 0.3236794961767694537 logp*logq = 37.17138545377689462 -------------- ************************************* p = 307; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14153517166833202.26 -------------- Searches starting with [307,661]-exponents: u = 17, v = 7 n_start has 63 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(307,661) = 0.7102768554032456198 D2(307,661) = 0.1255530768495687228 C1(307,661) = 0.9661616325867785602 C2(307,661) = 1.405127327217132519 C3(307,661) = 5.398449081441385750 C4(307,661) = 5288 Sum = 4102.305631766967893 Averaged sum = 0.4098616876578047650 logp*logq = 37.18873955114034219 -------------- ************************************* p = 307; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15689593826957869.12 -------------- Searches starting with [307,673]-exponents: u = 25, v = 7 n_start has 82 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(307,673) = 0.5717573811694926589 D2(307,673) = 0.06254148445416230540 C1(307,673) = 0.7975657323839588040 C2(307,673) = 1.825593925529406078 C3(307,673) = 4.022421156948374310 C4(307,673) = 5384 Sum = 4223.636717106787570 Averaged sum = 0.4219838862130869787 logp*logq = 37.29177407393736006 -------------- ************************************* p = 307; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16231189253878776.21 -------------- Searches starting with [307,677]-exponents: u = 33, v = 7 n_start has 102 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(307,677) = 0.7164973082877543374 D2(307,677) = 0.04031163053907849515 C1(307,677) = 0.9448211403467075313 C2(307,677) = 1.804481697246723517 C3(307,677) = 5.201094164715825208 C4(307,677) = 5416 Sum = 3362.081805511095592 Averaged sum = 0.3359058652723644312 logp*logq = 37.32571104879144219 -------------- ************************************* p = 307; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17072448943204790.36 -------------- Searches starting with [307,683]-exponents: u = 49, v = 7 n_start has 142 digits starting right neighbors generation We generated 1366 left neighbors We generated 8644 right neighbors We generated 10009 non-negative rho_i D1(307,683) = 0.6614757028290083254 D2(307,683) = 0.009473301460690560530 C1(307,683) = 0.9580938199499252485 C2(307,683) = 1.775307304276983437 C3(307,683) = 5.322973303868509613 C4(307,683) = 5464 Sum = 3363.259849726405478 Averaged sum = 0.3360235637652518211 logp*logq = 37.37624238617239967 -------------- ************************************* p = 307; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18249814730861397.00 -------------- Searches starting with [307,691]-exponents: u = 129, v = 7 n_start has 341 digits --- performed 5000 steps in the continued fraction search [307,691]-exponents: u = 43, v = 33 --- starting right neighbors generation We generated 7900 left neighbors We generated 2110 right neighbors We generated 10009 non-negative rho_i D1(307,691) = 0.9898815127734837500 D2(307,691) = 0.009470043666382778257 C1(307,691) = 1.341002269458986984 C2(307,691) = 1.603879632148426599 C3(307,691) = 10.38404567140238953 C4(307,691) = 5528 Sum = 4601.396159021983741 Averaged sum = 0.4597258626258351225 logp*logq = 37.44293132315403449 -------------- ************************************* p = 307; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19814988355883198.31 -------------- Searches starting with [307,701]-exponents: u = 8, v = 104 n_start has 316 digits --- performed 5000 steps in the continued fraction search [307,701]-exponents: u = 46, v = 13 --- starting right neighbors generation We generated 6777 left neighbors We generated 3233 right neighbors We generated 10009 non-negative rho_i D1(307,701) = 0.6023726611824245455 D2(307,701) = 0.009776509910607706649 C1(307,701) = 0.8193832381690611649 C2(307,701) = 1.623447292049751751 C3(307,701) = 4.178528504227788554 C4(307,701) = 5608 Sum = 4493.088606606873900 Averaged sum = 0.4489048462990182735 logp*logq = 37.52521503391138675 -------------- ************************************* p = 307; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21145451910972376.81 -------------- Searches starting with [307,709]-exponents: u = 8, v = 41 n_start has 137 digits starting right neighbors generation We generated 1162 left neighbors We generated 8848 right neighbors We generated 10009 non-negative rho_i D1(307,709) = 1.038383224825547073 D2(307,709) = 0.05047400322513090521 C1(307,709) = 1.400527462056433003 C2(307,709) = 1.743664518275589654 C3(307,709) = 11.52077417503105222 C4(307,709) = 5672 Sum = 4147.305115013950601 Averaged sum = 0.4143575896706914378 logp*logq = 37.59020123760829037 -------------- ************************************* p = 307; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22911388594947246.26 -------------- Searches starting with [307,719]-exponents: u = 8, v = 20 n_start has 78 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(307,719) = 0.6280235426466823902 D2(307,719) = 0.02946407958241867003 C1(307,719) = 0.8747264900061204730 C2(307,719) = 1.725325999286061191 C3(307,719) = 4.602235997915904839 C4(307,719) = 5752 Sum = 4111.155691679861208 Averaged sum = 0.4107458978599121998 logp*logq = 37.67041050040563875 -------------- ************************************* p = 307; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24410231348456161.91 -------------- Searches starting with [307,727]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(307,727) = 0.9304673313054266361 D2(307,727) = 0.06274602688721095367 C1(307,727) = 1.277970043842081113 C2(307,727) = 1.876050686280316820 C3(307,727) = 9.302367229228824543 C4(307,727) = 5816 Sum = 4344.760929277260946 Averaged sum = 0.4340854160532781443 logp*logq = 37.73377875688048037 -------------- ************************************* p = 307; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25586698035224188.53 -------------- Searches starting with [307,733]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(307,733) = 0.5609550835273735700 D2(307,733) = 0.08783093561055703409 C1(307,733) = 0.7579372878178157974 C2(307,733) = 1.902540850233706443 C3(307,733) = 3.753639170576729015 C4(307,733) = 5864 Sum = 4216.319190065682302 Averaged sum = 0.4212527914942234291 logp*logq = 37.78084900335412893 -------------- ************************************* p = 307; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26809575696663477.60 -------------- Searches starting with [307,739]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(307,739) = 0.7566094199762322912 D2(307,739) = 0.09130093780751947237 C1(307,739) = 1.244266785638500934 C2(307,739) = 1.323584865456525674 C3(307,739) = 8.771002882280178456 C4(307,739) = 5912 Sum = 4011.480546944324793 Averaged sum = 0.4007873460829578172 logp*logq = 37.82753552072460557 -------------- ************************************* p = 307; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27651317022887381.87 -------------- Searches starting with [307,743]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(307,743) = 0.7403246307086881123 D2(307,743) = 0.09178374080582952711 C1(307,743) = 1.217416531461981826 C2(307,743) = 1.339530644099028995 C3(307,743) = 8.369490605522608166 C4(307,743) = 5944 Sum = 4104.714114186207119 Averaged sum = 0.4101023193312226116 logp*logq = 37.85844975367549223 -------------- ************************************* p = 307; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29400322620060897.37 -------------- Searches starting with [307,751]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(307,751) = 0.8918932534280940871 D2(307,751) = 0.07314165236490964889 C1(307,751) = 1.322952116643060244 C2(307,751) = 1.912687710054310070 C3(307,751) = 10.06204132184456239 C4(307,751) = 6008 Sum = 3768.248239626274459 Averaged sum = 0.3764859865747102067 logp*logq = 37.91978204266657219 -------------- ************************************* p = 307; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30771151793148682.82 -------------- Searches starting with [307,757]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(307,757) = 0.7035797909637609876 D2(307,757) = 0.04576177681807915170 C1(307,757) = 1.100845856816718507 C2(307,757) = 1.886853552675081530 C3(307,757) = 6.828861255140983223 C4(307,757) = 6056 Sum = 3922.686758667915923 Averaged sum = 0.3919159515104322033 logp*logq = 37.96535401588558676 -------------- ************************************* p = 307; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31714015313394564.35 -------------- Searches starting with [307,761]-exponents: u = 22, v = 6 n_start has 73 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(307,761) = 0.7209900206896625849 D2(307,761) = 0.02866173252378788293 C1(307,761) = 0.9972935181252370871 C2(307,761) = 1.870777095833181693 C3(307,761) = 5.699862147651353880 C4(307,761) = 6088 Sum = 4074.691108181033296 Averaged sum = 0.4071027183715689176 logp*logq = 37.99553510153707809 -------------- ************************************* p = 307; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33671367808964984.93 -------------- Searches starting with [307,769]-exponents: u = 29, v = 6 n_start has 90 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(307,769) = 0.5863804328247949783 D2(307,769) = 0.09442886646316951555 C1(307,769) = 0.8902832691548255656 C2(307,769) = 1.827677338018109067 C3(307,769) = 4.728894348589479685 C4(307,769) = 6152 Sum = 3986.745987745927057 Averaged sum = 0.3983161142717481324 logp*logq = 38.05542425122542140 -------------- ************************************* p = 307; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34686799451798375.39 -------------- Searches starting with [307,773]-exponents: u = 29, v = 6 n_start has 90 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(307,773) = 0.9084789754429572487 D2(307,773) = 0.06120851495564900740 C1(307,773) = 1.350910800029424662 C2(307,773) = 1.795429448116029590 C3(307,773) = 10.56516830540616570 C4(307,773) = 6184 Sum = 4553.900425640620431 Averaged sum = 0.4549805600600080359 logp*logq = 38.08513559022920592 -------------- ************************************* p = 307; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38442035291728969.09 -------------- Searches starting with [307,787]-exponents: u = 78, v = 6 n_start has 212 digits starting right neighbors generation We generated 2656 left neighbors We generated 7354 right neighbors We generated 10009 non-negative rho_i D1(307,787) = 1.062273753830619671 D2(307,787) = 0.02506622391656433087 C1(307,787) = 1.479557112145947333 C2(307,787) = 1.628853164211575713 C3(307,787) = 13.22450641068278912 C4(307,787) = 6296 Sum = 5232.980099347887093 Averaged sum = 0.5228274652160942245 logp*logq = 38.18792792484652663 -------------- ************************************* p = 307; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41324732651643491.28 -------------- Searches starting with [307,797]-exponents: u = 2374, v = 6 n_start has 5922 digits --- performed 5000 steps in the continued fraction search [307,797]-exponents: u = 673, v = 1462 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(307,797) = 0.6205124300989787085 D2(307,797) = 0.5457998053977380282 C1(307,797) = 0.7598232195584646766 C2(307,797) = 1.466044369540898731 C3(307,797) = 3.766013735344993002 C4(307,797) = 6376 Sum = 6170.143384495255162 Averaged sum = 0.6170760460541309293 logp*logq = 38.26023756918713054 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(307,797) = 0.6205124300989787085 D2(307,797) = 0.5457998053977380282 C1(307,797) = 0.7598232195584646766 C2(307,797) = 1.466044369540898731 C3(307,797) = 3.766013735344993002 C4(307,797) = 6376 Sum = 6170.143384495255162 Averaged sum = 0.6170760460541309293 logp*logq = 38.26023756918713054 -------------- ************************************* p = 307; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45017196064519807.38 -------------- Searches starting with [307,809]-exponents: u = 7, v = 65 n_start has 207 digits starting right neighbors generation We generated 2561 left neighbors We generated 7449 right neighbors We generated 10009 non-negative rho_i D1(307,809) = 0.7074491053272571889 D2(307,809) = 0.02754478394726890458 C1(307,809) = 0.9925334867794071290 C2(307,809) = 1.651996093591659668 C3(307,809) = 5.652709279044948155 C4(307,809) = 6472 Sum = 3877.489159439820109 Averaged sum = 0.3874002557138395553 logp*logq = 38.34582094645321707 -------------- ************************************* p = 307; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45658277848405002.58 -------------- Searches starting with [307,811]-exponents: u = 7, v = 53 n_start has 172 digits starting right neighbors generation We generated 1813 left neighbors We generated 8197 right neighbors We generated 10009 non-negative rho_i D1(307,811) = 0.6799271869135661646 D2(307,811) = 0.01042454564642038330 C1(307,811) = 0.9233201818130863607 C2(307,811) = 1.697639827261831127 C3(307,811) = 5.009551018986181572 C4(307,811) = 6488 Sum = 4279.742519626780641 Averaged sum = 0.4275894214833430553 logp*logq = 38.35996131844613050 -------------- ************************************* p = 307; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48977830629055416.50 -------------- Searches starting with [307,821]-exponents: u = 7, v = 29 n_start has 102 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(307,821) = 0.5511309679765156000 D2(307,821) = 0.02494523639550419482 C1(307,821) = 0.7534653244865732045 C2(307,821) = 1.799290531958140030 C3(307,821) = 3.724458603385656335 C4(307,821) = 6568 Sum = 4219.005607279519403 Averaged sum = 0.4215211916554620245 logp*logq = 38.43014415449947303 -------------- ************************************* p = 307; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49665061729708901.44 -------------- Searches starting with [307,823]-exponents: u = 7, v = 29 n_start has 102 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(307,823) = 0.7858145721714287997 D2(307,823) = 0.03663864476237760625 C1(307,823) = 1.050755957874605895 C2(307,823) = 1.811376696560922493 C3(307,823) = 6.257262454337903356 C4(307,823) = 6584 Sum = 3821.132697878790895 Averaged sum = 0.3817696770785084319 logp*logq = 38.44407809749898590 -------------- ************************************* p = 307; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51063414991835908.90 -------------- Searches starting with [307,827]-exponents: u = 7, v = 23 n_start has 85 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(307,827) = 0.7561350237897600467 D2(307,827) = 0.06111107060973042122 C1(307,827) = 1.077135257765990707 C2(307,827) = 1.836631730345929123 C3(307,827) = 6.552056824029954174 C4(307,827) = 6616 Sum = 4327.469484405471153 Averaged sum = 0.4323578263967900043 logp*logq = 38.47184468642712451 -------------- ************************************* p = 307; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51774681923041235.26 -------------- Searches starting with [307,829]-exponents: u = 7, v = 23 n_start has 85 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(307,829) = 0.7900007029428925006 D2(307,829) = 0.07396316924090375555 C1(307,829) = 1.080560050341001433 C2(307,829) = 1.849873690127801553 C3(307,829) = 6.591334608533798064 C4(307,829) = 6632 Sum = 4327.704352396778178 Averaged sum = 0.4323812920768086900 logp*logq = 38.48567765872664865 -------------- ************************************* p = 307; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55454858293066177.68 -------------- Searches starting with [307,839]-exponents: u = 7, v = 17 n_start has 68 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(307,839) = 0.6186166441670807951 D2(307,839) = 0.1464354306317718327 C1(307,839) = 0.8329509823885266012 C2(307,839) = 1.924281014998029959 C3(307,839) = 4.278648153788343845 C4(307,839) = 6712 Sum = 3900.835117787073673 Averaged sum = 0.3897327523016358950 logp*logq = 38.55434572061413299 -------------- ************************************* p = 307; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60967566048745811.08 -------------- Searches starting with [307,853]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(307,853) = 0.7377277590021141752 D2(307,853) = 0.03416191785463178575 C1(307,853) = 1.105951529611645709 C2(307,853) = 1.943586297074006495 C3(307,853) = 6.889979953345990051 C4(307,853) = 6824 Sum = 3607.439968917342658 Averaged sum = 0.3604196192344232848 logp*logq = 38.64911841356031446 -------------- ************************************* p = 307; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62623107393130432.80 -------------- Searches starting with [307,857]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(307,857) = 0.7255292350291811821 D2(307,857) = 0.04529629123207999109 C1(307,857) = 0.9877674565486860210 C2(307,857) = 1.955542800777118354 C3(307,857) = 5.605887800221621617 C4(307,857) = 6856 Sum = 4116.418308241252053 Averaged sum = 0.4112716863064494008 logp*logq = 38.67591073259166411 -------------- ************************************* p = 307; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63464686885678381.18 -------------- Searches starting with [307,859]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(307,859) = 0.6141963568909991150 D2(307,859) = 0.05096320609116993793 C1(307,859) = 0.8278336311501032894 C2(307,859) = 1.961619314511931665 C3(307,859) = 4.240607275068320765 C4(307,859) = 6872 Sum = 3845.611302503332297 Averaged sum = 0.3842153364475304523 logp*logq = 38.68926003408511993 -------------- ************************************* p = 307; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65175866289454979.37 -------------- Searches starting with [307,863]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(307,863) = 0.5732787544348165753 D2(307,863) = 0.06251072060037602700 C1(307,863) = 0.7711461442321560381 C2(307,863) = 1.973983117149867318 C3(307,863) = 3.841171706941229847 C4(307,863) = 6904 Sum = 4211.120660309572915 Averaged sum = 0.4207334059655882621 logp*logq = 38.71586564638652658 -------------- ************************************* p = 307; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71467829462827501.05 -------------- Searches starting with [307,877]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(307,877) = 0.6893891052256370421 D2(307,877) = 0.05722014055618061151 C1(307,877) = 0.9716314716995714292 C2(307,877) = 1.998225700696480072 C3(307,877) = 5.450228194286430049 C4(307,877) = 7016 Sum = 3734.275855686563613 Averaged sum = 0.3730918029460049568 logp*logq = 38.80802380577552824 -------------- ************************************* p = 307; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73354818655609814.29 -------------- Searches starting with [307,881]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(307,881) = 0.8133086726325049087 D2(307,881) = 0.04370052311884723080 C1(307,881) = 1.072681447856302147 C2(307,881) = 1.985622630961159715 C3(307,881) = 6.501327488265702854 C4(307,881) = 7048 Sum = 3322.958397263897336 Averaged sum = 0.3319970423882403173 logp*logq = 38.83408459135159612 -------------- ************************************* p = 307; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74313620408242070.39 -------------- Searches starting with [307,883]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(307,883) = 0.7555584297375976464 D2(307,883) = 0.03713219951267170114 C1(307,883) = 1.030031480992361854 C2(307,883) = 1.979510999106547510 C3(307,883) = 6.034995717947198513 C4(307,883) = 7064 Sum = 4226.939369519975365 Averaged sum = 0.4223138544829628699 logp*logq = 38.84707064623026069 -------------- ************************************* p = 307; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76262272472849757.33 -------------- Searches starting with [307,887]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(307,887) = 0.8368723302233076107 D2(307,887) = 0.02434953938786072082 C1(307,887) = 1.258277927392520233 C2(307,887) = 1.967638582298259399 C3(307,887) = 8.988112862443317882 C4(307,887) = 7096 Sum = 3782.594028191018354 Averaged sum = 0.3779192754711777754 logp*logq = 38.87295474791067342 -------------- ************************************* p = 307; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86649613552045372.80 -------------- Searches starting with [307,907]-exponents: u = 19, v = 5 n_start has 63 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(307,907) = 0.9237920372554816927 D2(307,907) = 0.1090009260865718067 C1(307,907) = 1.349822472137843182 C2(307,907) = 1.934369139565051788 C3(307,907) = 10.54512079856660394 C4(307,907) = 7256 Sum = 4112.598043225055692 Averaged sum = 0.4108900033195180030 logp*logq = 39.00064895118982621 -------------- ************************************* p = 307; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88860990758186393.07 -------------- Searches starting with [307,911]-exponents: u = 19, v = 5 n_start has 63 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(307,911) = 0.5833320528266971787 D2(307,911) = 0.08319060057147024655 C1(307,911) = 0.8074009005344048131 C2(307,911) = 1.909411748706391652 C3(307,911) = 4.092057880757687834 C4(307,911) = 7288 Sum = 3995.387318901586820 Averaged sum = 0.3991794703668285364 logp*logq = 39.02584964200952498 -------------- ************************************* p = 307; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93423635133633621.10 -------------- Searches starting with [307,919]-exponents: u = 25, v = 5 n_start has 77 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(307,919) = 0.8150292021364770662 D2(307,919) = 0.03698712409080195057 C1(307,919) = 1.168382323591199704 C2(307,919) = 1.864902843517951231 C3(307,919) = 7.683077841995548635 C4(307,919) = 7352 Sum = 4172.447295981387240 Averaged sum = 0.4168695470058334738 logp*logq = 39.07592076095564690 -------------- ************************************* p = 307; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99397189909160665.62 -------------- Searches starting with [307,929]-exponents: u = 31, v = 5 n_start has 92 digits starting right neighbors generation We generated 367 left neighbors We generated 9643 right neighbors We generated 10009 non-negative rho_i D1(307,929) = 0.6556051620469809927 D2(307,929) = 0.06750060148882254248 C1(307,929) = 0.8761669995625768971 C2(307,929) = 1.813675102787127268 C3(307,929) = 4.613820239120696056 C4(307,929) = 7432 Sum = 3894.814667058354908 Averaged sum = 0.3891312485821115904 logp*logq = 39.13790023764201176 -------------- ************************************* p = 307; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104399923994787039.5 -------------- Searches starting with [307,937]-exponents: u = 43, v = 5 n_start has 122 digits starting right neighbors generation We generated 809 left neighbors We generated 9201 right neighbors We generated 10009 non-negative rho_i D1(307,937) = 0.6524429355571864924 D2(307,937) = 0.008044409944628699121 C1(307,937) = 0.9042505373635534340 C2(307,937) = 1.755827414271571597 C3(307,937) = 4.845578372399507737 C4(307,937) = 7496 Sum = 4295.500056745855142 Averaged sum = 0.4291637582921226039 logp*logq = 39.18700534233967737 -------------- ************************************* p = 307; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106978138647461410.8 -------------- Searches starting with [307,941]-exponents: u = 49, v = 5 n_start has 137 digits starting right neighbors generation We generated 940 left neighbors We generated 9070 right neighbors We generated 10009 non-negative rho_i D1(307,941) = 0.7043600256722061156 D2(307,941) = 0.03093290889471980978 C1(307,941) = 1.011108023359074806 C2(307,941) = 1.716977605917152039 C3(307,941) = 5.838947654049306811 C4(307,941) = 7528 Sum = 4421.374813160551774 Averaged sum = 0.4417399153922021954 logp*logq = 39.21140089679214340 -------------- ************************************* p = 307; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110943834797936314.3 -------------- Searches starting with [307,947]-exponents: u = 67, v = 5 n_start has 182 digits starting right neighbors generation We generated 1753 left neighbors We generated 8257 right neighbors We generated 10009 non-negative rho_i D1(307,947) = 0.7864873468999700467 D2(307,947) = 0.01484163571211285540 C1(307,947) = 1.106396442169437353 C2(307,947) = 1.652817667009027390 C3(307,947) = 6.895331727680835756 C4(307,947) = 7576 Sum = 4753.590176065174906 Averaged sum = 0.4749315791852507648 logp*logq = 39.24780047535407296 -------------- ************************************* p = 307; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115030092195320252.1 -------------- Searches starting with [307,953]-exponents: u = 103, v = 5 n_start has 272 digits starting right neighbors generation We generated 4099 left neighbors We generated 5911 right neighbors We generated 10009 non-negative rho_i D1(307,953) = 1.015561418010363211 D2(307,953) = 0.0005129530546085774389 C1(307,953) = 1.393346953200889733 C2(307,953) = 1.565608154272415494 C3(307,953) = 11.37730613220138277 C4(307,953) = 7624 Sum = 4839.082122364541815 Averaged sum = 0.4834730864586414042 logp*logq = 39.28397016030763578 -------------- ************************************* p = 307; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125049764646078064.4 -------------- Searches starting with [307,967]-exponents: u = 6, v = 574 n_start has 1729 digits --- performed 5000 steps in the continued fraction search [307,967]-exponents: u = 475, v = 176 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(307,967) = 0.5801914052425955896 D2(307,967) = 0.3935865151971088997 C1(307,967) = 0.7351252716637589410 C2(307,967) = 1.476457654529510425 C3(307,967) = 3.607139503929467579 C4(307,967) = 7736 Sum = 5562.343664550790071 Averaged sum = 0.5562899954546244695 logp*logq = 39.36748817015399814 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(307,967) = 0.5801914052425955896 D2(307,967) = 0.3935865151971088997 C1(307,967) = 0.7351252716637589410 C2(307,967) = 1.476457654529510425 C3(307,967) = 3.607139503929467579 C4(307,967) = 7736 Sum = 5562.343664550790071 Averaged sum = 0.5562899954546244695 logp*logq = 39.36748817015399814 -------------- ************************************* p = 307; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128041194886536112.4 -------------- Searches starting with [307,971]-exponents: u = 6, v = 184 n_start has 565 digits --- performed 5000 steps in the continued fraction search [307,971]-exponents: u = 168, v = 25 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(307,971) = 0.5374582263406729916 D2(307,971) = 0.1380865284481651967 C1(307,971) = 0.7112129633713001746 C2(307,971) = 1.439076131024982737 C3(307,971) = 3.459707844952473712 C4(307,971) = 7768 Sum = 4871.832220068978252 Averaged sum = 0.4872319452014179669 logp*logq = 39.39112844210357473 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(307,971) = 0.5374582263406729916 D2(307,971) = 0.1380865284481651967 C1(307,971) = 0.7112129633713001746 C2(307,971) = 1.439076131024982737 C3(307,971) = 3.459707844952473712 C4(307,971) = 7768 Sum = 4871.832220068978252 Averaged sum = 0.4872319452014179669 logp*logq = 39.39112844210357473 -------------- ************************************* p = 307; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132638911062920130.3 -------------- Searches starting with [307,977]-exponents: u = 6, v = 89 n_start has 282 digits starting right neighbors generation We generated 4296 left neighbors We generated 5714 right neighbors We generated 10009 non-negative rho_i D1(307,977) = 0.7463251474783571813 D2(307,977) = 0.009212561187745264974 C1(307,977) = 1.021838974789156265 C2(307,977) = 1.559314128321660196 C3(307,977) = 5.949325595816584268 C4(307,977) = 7816 Sum = 4552.196303908543533 Averaged sum = 0.4548103011198464915 logp*logq = 39.42640687654533425 -------------- ************************************* p = 307; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 137372048060586009.4 -------------- Searches starting with [307,983]-exponents: u = 6, v = 59 n_start has 192 digits starting right neighbors generation We generated 1874 left neighbors We generated 8136 right neighbors We generated 10009 non-negative rho_i D1(307,983) = 0.5641870503651546600 D2(307,983) = 0.03055770865747587226 C1(307,983) = 0.7908545775837262641 C2(307,983) = 1.648160925532855108 C3(307,983) = 3.975585071407478249 C4(307,983) = 7864 Sum = 4326.985808738745180 Averaged sum = 0.4323095023217849116 logp*logq = 39.46146931921859914 -------------- ************************************* p = 307; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 143898961530797192.5 -------------- Searches starting with [307,991]-exponents: u = 6, v = 39 n_start has 132 digits starting right neighbors generation We generated 892 left neighbors We generated 9118 right neighbors We generated 10009 non-negative rho_i D1(307,991) = 0.6782703162794758619 D2(307,991) = 0.02010738261047626858 C1(307,991) = 0.9764080377669373898 C2(307,991) = 1.735874262048401688 C3(307,991) = 5.495850623473564769 C4(307,991) = 7928 Sum = 4305.152815718932119 Averaged sum = 0.4301281662222931480 logp*logq = 39.50788779217475141 -------------- ************************************* p = 307; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148960325651863325.7 -------------- Searches starting with [307,997]-exponents: u = 6, v = 34 n_start has 117 digits starting right neighbors generation We generated 761 left neighbors We generated 9249 right neighbors We generated 10009 non-negative rho_i D1(307,997) = 0.7494832546293112948 D2(307,997) = 0.001292880053101215215 C1(307,997) = 1.004160720265315399 C2(307,997) = 1.787445402358304239 C3(307,997) = 5.768582553977188045 C4(307,997) = 7976 Sum = 3786.761656852805202 Averaged sum = 0.3783356635880512740 logp*logq = 39.54245639460691911 -------------- ************************************* p = 311; q = 313; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 210818005704617.6100 -------------- Searches starting with [311,313]-exponents: u = 1, v = 895 n_start has 2237 digits --- performed 5000 steps in the continued fraction search [311,313]-exponents: u = 535, v = 356 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,313) = 0.6966751599621207220 D2(311,313) = 0.3133382295157432665 C1(311,313) = 0.8757568091287561248 C2(311,313) = 1.230320688583637014 C3(311,313) = 4.619644277804354106 C4(311,313) = 2504 Sum = 5906.877307726263994 Averaged sum = 0.5907468054531717166 logp*logq = 32.98201634500407264 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,313) = 0.6966751599621207220 D2(311,313) = 0.3133382295157432665 C1(311,313) = 0.8757568091287561248 C2(311,313) = 1.230320688583637014 C3(311,313) = 4.619644277804354106 C4(311,313) = 2504 Sum = 5906.877307726263994 Averaged sum = 0.5907468054531717166 logp*logq = 32.98201634500407264 -------------- ************************************* p = 311; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226757795507271.4184 -------------- Searches starting with [311,317]-exponents: u = 1, v = 300 n_start has 753 digits --- performed 5000 steps in the continued fraction search [311,317]-exponents: u = 36, v = 248 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,317) = 0.6625847504820995827 D2(311,317) = 0.01008847486046085429 C1(311,317) = 0.8654574310032107408 C2(311,317) = 1.078820886311531472 C3(311,317) = 4.537246518797872485 C4(311,317) = 2536 Sum = 5323.015357140503817 Averaged sum = 0.5323547711911694986 logp*logq = 33.05490358363723380 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,317) = 0.6625847504820995827 D2(311,317) = 0.01008847486046085429 C1(311,317) = 0.8654574310032107408 C2(311,317) = 1.078820886311531472 C3(311,317) = 4.537246518797872485 C4(311,317) = 2536 Sum = 5323.015357140503817 Averaged sum = 0.5323547711911694986 logp*logq = 33.05490358363723380 -------------- ************************************* p = 311; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 290596820722455.1405 -------------- Searches starting with [311,331]-exponents: u = 1, v = 92 n_start has 235 digits starting right neighbors generation We generated 1143 left neighbors We generated 8867 right neighbors We generated 10009 non-negative rho_i D1(311,331) = 0.8182048667168641833 D2(311,331) = 0.0005585422240206373801 C1(311,331) = 1.133642745096529208 C2(311,331) = 1.281556392619675979 C3(311,331) = 7.249652638760889562 C4(311,331) = 2648 Sum = 4180.558511043501709 Averaged sum = 0.4176799391591069746 logp*logq = 33.30295792661415863 -------------- ************************************* p = 311; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 322160425077541.7665 -------------- Searches starting with [311,337]-exponents: u = 1, v = 71 n_start has 182 digits starting right neighbors generation We generated 684 left neighbors We generated 9326 right neighbors We generated 10009 non-negative rho_i D1(311,337) = 0.9327478756309467712 D2(311,337) = 0.003961007556193884302 C1(311,337) = 1.260252881573735198 C2(311,337) = 1.341854544215972998 C3(311,337) = 9.044845496074589680 C4(311,337) = 2696 Sum = 4356.092106743880245 Averaged sum = 0.4352175149109681532 logp*logq = 33.40607075193183301 -------------- ************************************* p = 311; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 381035214378058.0225 -------------- Searches starting with [311,347]-exponents: u = 1, v = 52 n_start has 135 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(311,347) = 0.5981486783501225680 D2(311,347) = 0.03812837161972716293 C1(311,347) = 0.8218287817201130060 C2(311,347) = 1.449826628547951327 C3(311,347) = 4.204194104966619924 C4(311,347) = 2776 Sum = 4311.344904836470180 Averaged sum = 0.4307468183471345968 logp*logq = 33.57391291297334079 -------------- ************************************* p = 311; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 393814191714352.2627 -------------- Searches starting with [311,349]-exponents: u = 1, v = 49 n_start has 128 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(311,349) = 0.6534409299761972034 D2(311,349) = 0.009355253720868011799 C1(311,349) = 0.9438499925532376009 C2(311,349) = 1.438611570785821749 C3(311,349) = 5.203363845500626217 C4(311,349) = 2792 Sum = 4512.047557282979576 Averaged sum = 0.4507990365953621316 logp*logq = 33.60690031935713561 -------------- ************************************* p = 311; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 420435322558668.8637 -------------- Searches starting with [311,353]-exponents: u = 1, v = 45 n_start has 118 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(311,353) = 0.7139345197497972226 D2(311,353) = 0.007537977828287371632 C1(311,353) = 0.9667569505113409687 C2(311,353) = 1.463330781767625608 C3(311,353) = 5.415869597340372519 C4(311,353) = 2824 Sum = 4127.178201673143674 Averaged sum = 0.4123467081299973697 logp*logq = 33.67231177271162057 -------------- ************************************* p = 311; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 463140762047505.5838 -------------- Searches starting with [311,359]-exponents: u = 1, v = 39 n_start has 103 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(311,359) = 1.205007302209741993 D2(311,359) = 0.04805055661171580199 C1(311,359) = 1.772024070938551086 C2(311,359) = 1.534850094753202590 C3(311,359) = 22.11986008630382331 C4(311,359) = 2872 Sum = 6219.100077933289048 Averaged sum = 0.6213507920804564940 logp*logq = 33.76905214551042566 -------------- ************************************* p = 311; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 525596056027155.2429 -------------- Searches starting with [311,367]-exponents: u = 1, v = 34 n_start has 90 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(311,367) = 1.319439450545970764 D2(311,367) = 0.03456506196651742383 C1(311,367) = 1.812849174425399590 C2(311,367) = 1.567201618012853815 C3(311,367) = 23.75551185374875314 C4(311,367) = 2936 Sum = 5011.503872133232010 Averaged sum = 0.5006997574316347298 logp*logq = 33.89555407931728585 -------------- ************************************* p = 311; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 576867570359008.3826 -------------- Searches starting with [311,373]-exponents: u = 1, v = 31 n_start has 83 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(311,373) = 0.6070319143894740176 D2(311,373) = 0.01734785104604043001 C1(311,373) = 0.8611434757149163924 C2(311,373) = 1.582857779846712352 C3(311,373) = 4.503171963061946085 C4(311,373) = 2984 Sum = 4263.991534606199383 Averaged sum = 0.4260157392952542095 logp*logq = 33.98863384198508299 -------------- ************************************* p = 311; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 632200828201276.2945 -------------- Searches starting with [311,379]-exponents: u = 1, v = 29 n_start has 78 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(311,379) = 1.019561996948832348 D2(311,379) = 0.03954259247617223955 C1(311,379) = 1.543384036788773287 C2(311,379) = 1.630405071073728968 C3(311,379) = 14.83434301959513359 C4(311,379) = 3032 Sum = 2427.979264147096797 Averaged sum = 0.2425796047704163050 logp*logq = 34.08022822573969829 -------------- ************************************* p = 311; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 671469071691763.8872 -------------- Searches starting with [311,383]-exponents: u = 1, v = 27 n_start has 73 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(311,383) = 0.6262272595262775536 D2(311,383) = 0.06979939994285390700 C1(311,383) = 0.8968905931338998669 C2(311,383) = 1.674673062807904970 C3(311,383) = 4.793435458249714118 C4(311,383) = 3064 Sum = 4157.615665491967751 Averaged sum = 0.4153877176033537567 logp*logq = 34.14048907229315944 -------------- ************************************* p = 311; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 734132354463218.9174 -------------- Searches starting with [311,389]-exponents: u = 1, v = 25 n_start has 68 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(311,389) = 0.7181973020574282804 D2(311,389) = 0.04310181464339448297 C1(311,389) = 1.004593228723577910 C2(311,389) = 1.677475130356870410 C3(311,389) = 5.786047672379717671 C4(311,389) = 3112 Sum = 4556.330818074113289 Averaged sum = 0.4552233807647230781 logp*logq = 34.22971044771964745 -------------- ************************************* p = 311; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 825124211909478.7140 -------------- Searches starting with [311,397]-exponents: u = 1, v = 23 n_start has 63 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(311,397) = 0.9446094785158035626 D2(311,397) = 0.03470650892099565358 C1(311,397) = 1.368739997632213338 C2(311,397) = 1.702899181883545642 C3(311,397) = 10.93280533576133377 C4(311,397) = 3176 Sum = 4668.726655454203170 Averaged sum = 0.4664528579732443970 logp*logq = 34.34655505082050366 -------------- ************************************* p = 311; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 873996350835524.1097 -------------- Searches starting with [311,401]-exponents: u = 1, v = 22 n_start has 60 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(311,401) = 0.5833181302744873592 D2(311,401) = 0.01563766043613441962 C1(311,401) = 0.7969779452060330697 C2(311,401) = 1.702345817709449599 C3(311,401) = 4.025534499167680594 C4(311,401) = 3208 Sum = 4197.127815577181069 Averaged sum = 0.4193353797159737306 logp*logq = 34.40409731632997155 -------------- ************************************* p = 311; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 978928408406762.9324 -------------- Searches starting with [311,409]-exponents: u = 1, v = 20 n_start has 55 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(311,409) = 0.9031404071974775551 D2(311,409) = 0.07290069441649022123 C1(311,409) = 1.413702284780837473 C2(311,409) = 1.780864808576396710 C3(311,409) = 11.82642073295401413 C4(311,409) = 3272 Sum = 4142.578320913875279 Averaged sum = 0.4138853352896268637 logp*logq = 34.51747962851931046 -------------- ************************************* p = 311; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1124515544626757.832 -------------- Searches starting with [311,419]-exponents: u = 1, v = 19 n_start has 53 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(311,419) = 0.8034956404410033923 D2(311,419) = 0.009025078108827719756 C1(311,419) = 1.123001394837603176 C2(311,419) = 1.761745515640310212 C3(311,419) = 7.116091401519262976 C4(311,419) = 3352 Sum = 4701.715446281029309 Averaged sum = 0.4697487707344419332 logp*logq = 34.65612871082219831 -------------- ************************************* p = 311; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1155675145507672.457 -------------- Searches starting with [311,421]-exponents: u = 1, v = 18 n_start has 50 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(311,421) = 0.8959959187348784230 D2(311,421) = 0.04636733216774086097 C1(311,421) = 1.418634075720649336 C2(311,421) = 1.799817496421785999 C3(311,421) = 11.92878037696351530 C4(311,421) = 3368 Sum = 3940.212019400165799 Averaged sum = 0.3936669017284609650 logp*logq = 34.68346110967165378 -------------- ************************************* p = 311; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1322372967319595.868 -------------- Searches starting with [311,431]-exponents: u = 1, v = 17 n_start has 48 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(311,431) = 0.6496315855771475274 D2(311,431) = 0.08431578618424773494 C1(311,431) = 0.9000797580687241754 C2(311,431) = 1.864644734710733041 C3(311,431) = 4.820222985725159918 C4(311,431) = 3448 Sum = 4260.290621915186218 Averaged sum = 0.4256459808087907101 logp*logq = 34.81820422009060253 -------------- ************************************* p = 311; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1357983648203940.073 -------------- Searches starting with [311,433]-exponents: u = 1, v = 17 n_start has 48 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(311,433) = 0.7950882935623431314 D2(311,433) = 0.1267127452965285077 C1(311,433) = 1.141794411345206345 C2(311,433) = 1.907756589908321933 C3(311,433) = 7.353658658106968488 C4(311,433) = 3464 Sum = 4565.759677837169899 Averaged sum = 0.4561654189067009590 logp*logq = 34.84477738288775856 -------------- ************************************* p = 311; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1469599934600030.551 -------------- Searches starting with [311,439]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(311,439) = 0.7224116892287825064 D2(311,439) = 0.05881320901873773063 C1(311,439) = 1.040362843407967980 C2(311,439) = 1.867477885312682961 C3(311,439) = 6.159244339699426009 C4(311,439) = 3512 Sum = 4352.150824034770799 Averaged sum = 0.4348237410365441901 logp*logq = 34.92376660532757862 -------------- ************************************* p = 311; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1548136858377228.151 -------------- Searches starting with [311,443]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(311,443) = 0.7362943837585806510 D2(311,443) = 0.1356103414240150825 C1(311,443) = 0.9914027146168651196 C2(311,443) = 1.945687139358566888 C3(311,443) = 5.654207941228761097 C4(311,443) = 3544 Sum = 3965.346224382771094 Averaged sum = 0.3961780621823130276 logp*logq = 34.97582857597471516 -------------- ************************************* p = 311; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1672417677643045.912 -------------- Searches starting with [311,449]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(311,449) = 0.6357085746985012927 D2(311,449) = 0.04474215089057937623 C1(311,449) = 0.8628613162689970576 C2(311,449) = 1.885018748420829828 C3(311,449) = 4.516709867923230710 C4(311,449) = 3592 Sum = 4135.065570921552948 Averaged sum = 0.4131347358299083773 logp*logq = 35.05304668557934984 -------------- ************************************* p = 311; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1850836911677645.601 -------------- Searches starting with [311,457]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(311,457) = 0.7472246200549268810 D2(311,457) = 0.1238036951558107118 C1(311,457) = 1.218162691453178350 C2(311,457) = 1.297699637833365469 C3(311,457) = 8.403477978150965922 C4(311,457) = 3656 Sum = 4149.306329919002204 Averaged sum = 0.4145575312138077933 logp*logq = 35.15441431639643380 -------------- ************************************* p = 311; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1945770844927714.420 -------------- Searches starting with [311,461]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(311,461) = 0.5501329056511570828 D2(311,461) = 0.03328565796921080073 C1(311,461) = 0.7707845496019208611 C2(311,461) = 1.908920618931083085 C3(311,461) = 3.845435080770621916 C4(311,461) = 3688 Sum = 4259.922332362422558 Averaged sum = 0.4256091849697694633 logp*logq = 35.20443461476614869 -------------- ************************************* p = 311; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1994724303432887.267 -------------- Searches starting with [311,463]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(311,463) = 0.6768843442347077512 D2(311,463) = 0.06195988999977668028 C1(311,463) = 0.9295050639881806948 C2(311,463) = 1.938281162853550693 C3(311,463) = 5.074554053375718985 C4(311,463) = 3704 Sum = 4313.683309500594673 Averaged sum = 0.4309804485463677363 logp*logq = 35.22928224193489717 -------------- ************************************* p = 311; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2095685514012836.635 -------------- Searches starting with [311,467]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(311,467) = 0.6748537467539308050 D2(311,467) = 0.1038331110598654017 C1(311,467) = 1.110406742953075398 C2(311,467) = 1.341783084251698514 C3(311,467) = 6.961189940467615477 C4(311,467) = 3736 Sum = 4027.284280480827057 Averaged sum = 0.4023662983795411187 logp*logq = 35.27865710908779044 -------------- ************************************* p = 311; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2424213035313728.339 -------------- Searches starting with [311,479]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(311,479) = 0.7071196472889759271 D2(311,479) = 0.06830126146076895098 C1(311,479) = 0.9754359926628502784 C2(311,479) = 1.984995822496404618 C3(311,479) = 5.498632456429780112 C4(311,479) = 3832 Sum = 4285.519413703426203 Averaged sum = 0.4281665914380483767 logp*logq = 35.42428334511151623 -------------- ************************************* p = 311; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2665997162565154.279 -------------- Searches starting with [311,487]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(311,487) = 0.9604929805127293432 D2(311,487) = 0.1147647080193187970 C1(311,487) = 1.356890107067205704 C2(311,487) = 1.781418431574104391 C3(311,487) = 10.70874995628612305 C4(311,487) = 3896 Sum = 5128.963409896009211 Averaged sum = 0.5124351493551812579 logp*logq = 35.51935455236249263 -------------- ************************************* p = 311; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2794154874829863.820 -------------- Searches starting with [311,491]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(311,491) = 0.7925121646710699895 D2(311,491) = 0.1102204879122627458 C1(311,491) = 1.096616584187752661 C2(311,491) = 1.778311202788231664 C3(311,491) = 6.795449423740195726 C4(311,491) = 3928 Sum = 4303.418878464912183 Averaged sum = 0.4299549284109213890 logp*logq = 35.56630608542962571 -------------- ************************************* p = 311; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3065761655958859.894 -------------- Searches starting with [311,499]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(311,499) = 0.7248798197624371121 D2(311,499) = 0.07887979911028906982 C1(311,499) = 1.005006089079366869 C2(311,499) = 1.378321178329099400 C3(311,499) = 5.790223474774149524 C4(311,499) = 3992 Sum = 4007.716837928382952 Averaged sum = 0.4004113136105887653 logp*logq = 35.65907243455607122 -------------- ************************************* p = 311; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3209525070240337.905 -------------- Searches starting with [311,503]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(311,503) = 0.8114302713411161312 D2(311,503) = 0.07884193498958888609 C1(311,503) = 1.364233398525037077 C2(311,503) = 1.242691951184306428 C3(311,503) = 10.84704830735140591 C4(311,503) = 4024 Sum = 4163.784348637939672 Averaged sum = 0.4160040312356818535 logp*logq = 35.70489936791029952 -------------- ************************************* p = 311; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3435575858472672.504 -------------- Searches starting with [311,509]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(311,509) = 0.6939328675926704230 D2(311,509) = 0.09258768336465781853 C1(311,509) = 1.027284241665400037 C2(311,509) = 1.796983001854318153 C3(311,509) = 6.020078184405084666 C4(311,509) = 4072 Sum = 3874.860605123656862 Averaged sum = 0.3871376366393902350 logp*logq = 35.77296095092221655 -------------- ************************************* p = 311; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3927226121262827.485 -------------- Searches starting with [311,521]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(311,521) = 0.9959292307107637926 D2(311,521) = 0.05808537324040641988 C1(311,521) = 1.376348842664645116 C2(311,521) = 2.073321831172027904 C3(311,521) = 11.07913716298370979 C4(311,521) = 4168 Sum = 4237.823146482494858 Averaged sum = 0.4234012535200814125 logp*logq = 35.90670975002092343 -------------- ************************************* p = 311; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4014548652401973.245 -------------- Searches starting with [311,523]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(311,523) = 0.8979768323246548540 D2(311,523) = 0.05173870090767538127 C1(311,523) = 1.529529061240333739 C2(311,523) = 1.177633126857751441 C3(311,523) = 14.47950877729676489 C4(311,523) = 4184 Sum = 3814.882332467384989 Averaged sum = 0.3811452025644305114 logp*logq = 35.92870132064835784 -------------- ************************************* p = 311; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4875130996591573.542 -------------- Searches starting with [311,541]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(311,541) = 0.5633509222148927822 D2(311,541) = 0.05792128406313772922 C1(311,541) = 0.7672356315246912297 C2(311,541) = 1.665296108310856604 C3(311,541) = 3.821661554505421216 C4(311,541) = 4328 Sum = 4205.181756886946766 Averaged sum = 0.4201400496440150630 logp*logq = 36.12292337009518173 -------------- ************************************* p = 311; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5193740530796051.743 -------------- Searches starting with [311,547]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(311,547) = 0.8814598902636462427 D2(311,547) = 0.01777976055818408015 C1(311,547) = 1.247784742353074604 C2(311,547) = 2.093781150601670475 C3(311,547) = 8.849915598874604055 C4(311,547) = 4376 Sum = 3918.934457198004204 Averaged sum = 0.3915410587669102013 logp*logq = 36.18623055133854858 -------------- ************************************* p = 311; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5762888104143798.599 -------------- Searches starting with [311,557]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(311,557) = 0.5758116820326690606 D2(311,557) = 0.05007791490368271316 C1(311,557) = 0.9954241080130115963 C2(311,557) = 1.844637800905806298 C3(311,557) = 5.694080418644871722 C4(311,557) = 4456 Sum = 4292.372837751370903 Averaged sum = 0.4288513175893067143 logp*logq = 36.29021515092542373 -------------- ************************************* p = 311; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6128420965753018.750 -------------- Searches starting with [311,563]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(311,563) = 0.9191655624145268803 D2(311,563) = 0.04492337613371789146 C1(311,563) = 1.382614614207264281 C2(311,563) = 1.841467235405558895 C3(311,563) = 11.20110863915593434 C4(311,563) = 4504 Sum = 3498.477506938253185 Averaged sum = 0.3495331708400692562 logp*logq = 36.35171352044533049 -------------- ************************************* p = 311; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6512891735534574.669 -------------- Searches starting with [311,569]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(311,569) = 1.304892992884229733 D2(311,569) = 0.03989173528369037221 C1(311,569) = 2.053848599206944745 C2(311,569) = 1.838398112065312802 C3(311,569) = 36.19578049723267604 C4(311,569) = 4552 Sum = 4140.537064331498975 Averaged sum = 0.4136813931792885379 logp*logq = 36.41255995151083705 -------------- ************************************* p = 311; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6645388806009181.088 -------------- Searches starting with [311,571]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(311,571) = 0.6962233309953699152 D2(311,571) = 0.03505508210729860925 C1(311,571) = 0.9640032113002901140 C2(311,571) = 1.684327210435108994 C3(311,571) = 5.389871317995804186 C4(311,571) = 4568 Sum = 4090.453660017178363 Averaged sum = 0.4086775562011368132 logp*logq = 36.43269959642651821 -------------- ************************************* p = 311; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7056305280503578.024 -------------- Searches starting with [311,577]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(311,577) = 0.8680860392619173676 D2(311,577) = 0.02890407118509021648 C1(311,577) = 1.222782470622512201 C2(311,577) = 1.589218540594213909 C3(311,577) = 8.471591370210943662 C4(311,577) = 4616 Sum = 4504.057034657029248 Averaged sum = 0.4500007028331530870 logp*logq = 36.49269797805674721 -------------- ************************************* p = 311; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7787702452647303.836 -------------- Searches starting with [311,587]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(311,587) = 1.021481579983037597 D2(311,587) = 0.01618167824893032353 C1(311,587) = 1.338056316750021122 C2(311,587) = 1.162049083007525858 C3(311,587) = 10.36205482511720309 C4(311,587) = 4696 Sum = 4062.013166259914301 Averaged sum = 0.4058360641682400141 logp*logq = 36.59132227581600711 -------------- ************************************* p = 311; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8255809706378033.551 -------------- Searches starting with [311,593]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(311,593) = 0.6522570680493560412 D2(311,593) = 0.02142843941117465615 C1(311,593) = 1.147252493828888807 C2(311,593) = 1.874443503619086898 C3(311,593) = 7.424130293017945298 C4(311,593) = 4744 Sum = 3876.581479839768306 Averaged sum = 0.3873095693715424423 logp*logq = 36.64969355425368925 -------------- ************************************* p = 311; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8746912644555647.402 -------------- Searches starting with [311,599]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(311,599) = 0.7432174704826041466 D2(311,599) = 0.01681689236635715962 C1(311,599) = 1.097720455298423355 C2(311,599) = 1.871738918763622980 C3(311,599) = 6.808570019693797784 C4(311,599) = 4792 Sum = 3277.377805405695742 Averaged sum = 0.3274430817669792928 logp*logq = 36.70747719239509790 -------------- ************************************* p = 311; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8915875557731673.265 -------------- Searches starting with [311,601]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(311,601) = 0.8008398837980297792 D2(311,601) = 0.01530135264469062697 C1(311,601) = 1.132491402289250164 C2(311,601) = 1.870854703993218996 C3(311,601) = 7.235081847748784827 C4(311,601) = 4808 Sum = 4318.950639878354288 Averaged sum = 0.4315067079506798170 logp*logq = 36.72660985315113510 -------------- ************************************* p = 311; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9439016000688943.321 -------------- Searches starting with [311,607]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(311,607) = 0.9368226758045733207 D2(311,607) = 0.01081759343302017155 C1(311,607) = 1.281827740088203599 C2(311,607) = 1.868252135036731286 C3(311,607) = 9.392349208112896833 C4(311,607) = 4856 Sum = 4386.918108542330762 Averaged sum = 0.4382973432453122952 logp*logq = 36.78362813241986421 -------------- ************************************* p = 311; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9987248928025683.473 -------------- Searches starting with [311,613]-exponents: u = 19, v = 8 n_start has 70 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(311,613) = 0.6078037553452769791 D2(311,613) = 0.005876983021823218900 C1(311,613) = 0.9685143522083526989 C2(311,613) = 1.706539085246147792 C3(311,613) = 5.432526886856966134 C4(311,613) = 4904 Sum = 4189.959811576374359 Averaged sum = 0.4186192238561668857 logp*logq = 36.84008556706639036 -------------- ************************************* p = 311; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10367141052706985.33 -------------- Searches starting with [311,617]-exponents: u = 19, v = 8 n_start has 70 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(311,617) = 0.6586776486132193469 D2(311,617) = 0.003243233692150846888 C1(311,617) = 0.9252678111069471562 C2(311,617) = 1.704982467356363222 C3(311,617) = 5.037119425401836409 C4(311,617) = 4936 Sum = 4306.570332458366334 Averaged sum = 0.4302697904344456323 logp*logq = 36.87741768509205937 -------------- ************************************* p = 311; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10561514515114156.88 -------------- Searches starting with [311,619]-exponents: u = 19, v = 8 n_start has 70 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(311,619) = 0.8767643212971142936 D2(311,619) = 0.001939498326140068965 C1(311,619) = 1.336553434636675954 C2(311,619) = 1.704214631147417062 C3(311,619) = 10.33487799867175320 C4(311,619) = 4952 Sum = 3901.981064826979760 Averaged sum = 0.3898472439631311580 logp*logq = 36.89599308289700780 -------------- ************************************* p = 311; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11792032570822669.25 -------------- Searches starting with [311,631]-exponents: u = 73, v = 8 n_start has 205 digits starting right neighbors generation We generated 2926 left neighbors We generated 7084 right neighbors We generated 10009 non-negative rho_i D1(311,631) = 0.7526216902464423273 D2(311,631) = 0.02704161788831916407 C1(311,631) = 1.051064731898098663 C2(311,631) = 1.732312391143662429 C3(311,631) = 6.275510431619453075 C4(311,631) = 5048 Sum = 4590.917454900707702 Averaged sum = 0.4586789344490666102 logp*logq = 37.00620049246567887 -------------- ************************************* p = 311; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12905767095450717.93 -------------- Searches starting with [311,641]-exponents: u = 9, v = 119 n_start has 357 digits starting right neighbors generation We generated 3370 left neighbors We generated 6640 right neighbors We generated 10009 non-negative rho_i D1(311,641) = 0.6854077791749865671 D2(311,641) = 0.004821961658340500438 C1(311,641) = 1.127680750135688401 C2(311,641) = 1.280863558081415139 C3(311,641) = 7.174516896770696547 C4(311,641) = 5128 Sum = 4390.058301223614023 Averaged sum = 0.4386110801502261987 logp*logq = 37.09645066803886673 -------------- ************************************* p = 311; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13138610509760368.48 -------------- Searches starting with [311,643]-exponents: u = 9, v = 79 n_start has 245 digits starting right neighbors generation We generated 1975 left neighbors We generated 8035 right neighbors We generated 10009 non-negative rho_i D1(311,643) = 0.6604565617643449662 D2(311,643) = 0.01222311963047471947 C1(311,643) = 0.9175736681895186559 C2(311,643) = 1.366646673265859909 C3(311,643) = 4.969848977367787982 C4(311,643) = 5144 Sum = 3930.085870947303796 Averaged sum = 0.3926551974170550301 logp*logq = 37.11433165730423621 -------------- ************************************* p = 311; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13614712254228075.98 -------------- Searches starting with [311,647]-exponents: u = 9, v = 47 n_start has 155 digits starting right neighbors generation We generated 1021 left neighbors We generated 8989 right neighbors We generated 10009 non-negative rho_i D1(311,647) = 0.8280438784598282168 D2(311,647) = 0.02905718304523121787 C1(311,647) = 1.192488997280949833 C2(311,647) = 1.493853962791792887 C3(311,647) = 8.034806028707164138 C4(311,647) = 5176 Sum = 3605.642482516436784 Averaged sum = 0.3602400322226432994 logp*logq = 37.14992738634579903 -------------- ************************************* p = 311; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14355513313547345.53 -------------- Searches starting with [311,653]-exponents: u = 9, v = 23 n_start has 88 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(311,653) = 0.6235597120641811896 D2(311,653) = 0.06045098463535568508 C1(311,653) = 0.8367107980778848371 C2(311,653) = 1.694814872147299086 C3(311,653) = 4.314958915087892361 C4(311,653) = 5224 Sum = 3935.982077451978805 Averaged sum = 0.3932442878861003901 logp*logq = 37.20291046636388656 -------------- ************************************* p = 311; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15129289141842483.78 -------------- Searches starting with [311,659]-exponents: u = 9, v = 15 n_start has 65 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(311,659) = 0.7467090439287402316 D2(311,659) = 0.09674012213399980813 C1(311,659) = 1.018785063760987773 C2(311,659) = 1.839197588718547451 C3(311,659) = 5.931330684722783887 C4(311,659) = 5272 Sum = 4169.458160118849303 Averaged sum = 0.4165709021999050158 logp*logq = 37.25540893825243760 -------------- ************************************* p = 311; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15394739628571949.16 -------------- Searches starting with [311,661]-exponents: u = 9, v = 15 n_start has 65 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(311,661) = 0.5696801537383964706 D2(311,661) = 0.1081847204812257224 C1(311,661) = 0.7806523941574414083 C2(311,661) = 1.851148408482653954 C3(311,661) = 3.912318055267268487 C4(311,661) = 5288 Sum = 4126.838542974225606 Averaged sum = 0.4123127728019008498 logp*logq = 37.27280226341739442 -------------- ************************************* p = 311; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17069500834307172.98 -------------- Searches starting with [311,673]-exponents: u = 17, v = 7 n_start has 63 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(311,673) = 0.5626926854325297041 D2(311,673) = 0.1240532517285756179 C1(311,673) = 0.8038403375161562348 C2(311,673) = 1.886532970422580101 C3(311,673) = 4.074097296979754347 C4(311,673) = 5384 Sum = 3985.340726501694691 Averaged sum = 0.3981757145071130673 logp*logq = 37.37606968901103917 -------------- ************************************* p = 311; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17660084522544311.70 -------------- Searches starting with [311,677]-exponents: u = 17, v = 7 n_start has 63 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(311,677) = 0.6280386781009327776 D2(311,677) = 0.09763073752818449059 C1(311,677) = 0.8890483111083087351 C2(311,677) = 1.861227906451672528 C3(311,677) = 4.728195288838543435 C4(311,677) = 5416 Sum = 4212.274147158181672 Averaged sum = 0.4208486509299811841 logp*logq = 37.41008337617608277 -------------- ************************************* p = 311; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18577525458223178.47 -------------- Searches starting with [311,683]-exponents: u = 25, v = 7 n_start has 83 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(311,683) = 0.5591754582693890579 D2(311,683) = 0.06179318730481625670 C1(311,683) = 0.7803004585045679669 C2(311,683) = 1.827054031453985114 C3(311,683) = 3.909912795620486405 C4(311,683) = 5464 Sum = 4224.679955263258577 Averaged sum = 0.4220881162217263040 logp*logq = 37.46072893633862682 -------------- ************************************* p = 311; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19861679547222134.02 -------------- Searches starting with [311,691]-exponents: u = 41, v = 7 n_start has 123 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(311,691) = 0.6106417350963188916 D2(311,691) = 0.01939504548666294965 C1(311,691) = 0.8179366623415345553 C2(311,691) = 1.786851200100426270 C3(311,691) = 4.175697641112553638 C4(311,691) = 5528 Sum = 3951.327822873232518 Averaged sum = 0.3947774825530255288 logp*logq = 37.52756861929845864 -------------- ************************************* p = 311; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21569104252907989.17 -------------- Searches starting with [311,701]-exponents: u = 129, v = 7 n_start has 342 digits --- performed 5000 steps in the continued fraction search [311,701]-exponents: u = 43, v = 33 --- starting right neighbors generation We generated 7900 left neighbors We generated 2110 right neighbors We generated 10009 non-negative rho_i D1(311,701) = 1.385775084729950198 D2(311,701) = 0.01233653586919771431 C1(311,701) = 1.884052638852445519 C2(311,701) = 1.608740846759958352 C3(311,701) = 26.90298272420775465 C4(311,701) = 5608 Sum = 4599.471761408320633 Averaged sum = 0.4595335959045179971 logp*logq = 37.61003832699966998 -------------- ************************************* p = 311; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23020728123829223.47 -------------- Searches starting with [311,709]-exponents: u = 8, v = 195 n_start has 576 digits --- performed 5000 steps in the continued fraction search [311,709]-exponents: u = 181, v = 20 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,709) = 0.5319772006118193998 D2(311,709) = 0.2000692403788668329 C1(311,709) = 0.7038955821577618250 C2(311,709) = 1.444615230164098095 C3(311,709) = 3.421241245597573098 C4(311,709) = 5672 Sum = 4937.131777544767308 Averaged sum = 0.4937625540098777185 logp*logq = 37.67517142775760032 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,709) = 0.5319772006118193998 D2(311,709) = 0.2000692403788668329 C1(311,709) = 0.7038955821577618250 C2(311,709) = 1.444615230164098095 C3(311,709) = 3.421241245597573098 C4(311,709) = 5672 Sum = 4937.131777544767308 Averaged sum = 0.4937625540098777185 logp*logq = 37.67517142775760032 -------------- ************************************* p = 311; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24947799038940737.70 -------------- Searches starting with [311,719]-exponents: u = 8, v = 41 n_start has 138 digits starting right neighbors generation We generated 1162 left neighbors We generated 8848 right neighbors We generated 10009 non-negative rho_i D1(311,719) = 0.5521338708433276958 D2(311,719) = 0.04505881491196749111 C1(311,719) = 0.7607452394390614610 C2(311,719) = 1.740274966905697841 C3(311,719) = 3.778563189214212204 C4(311,719) = 5752 Sum = 4261.470362164597277 Averaged sum = 0.4257638487525824035 logp*logq = 37.75556199834493754 -------------- ************************************* p = 311; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26583669527152152.76 -------------- Searches starting with [311,727]-exponents: u = 8, v = 27 n_start has 98 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(311,727) = 0.6748629159792878522 D2(311,727) = 0.01844984065216892087 C1(311,727) = 0.8987244996582035019 C2(311,727) = 1.638024910729252003 C3(311,727) = 4.808821192198766694 C4(311,727) = 5816 Sum = 3700.160788315175015 Averaged sum = 0.3696833638040938170 logp*logq = 37.81907349461698223 -------------- ************************************* p = 311; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27867851414466536.18 -------------- Searches starting with [311,733]-exponents: u = 8, v = 20 n_start has 78 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(311,733) = 0.5628533351548873523 D2(311,733) = 0.04023053196767757420 C1(311,733) = 0.7764292017610686012 C2(311,733) = 1.739011956069177876 C3(311,733) = 3.883552576648559684 C4(311,733) = 5864 Sum = 4191.920621201831146 Averaged sum = 0.4188151285045290384 logp*logq = 37.86625014030270096 -------------- ************************************* p = 311; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29202835028546892.93 -------------- Searches starting with [311,739]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(311,739) = 0.8948202124622464799 D2(311,739) = 0.06647386404645775647 C1(311,739) = 1.209008300032228768 C2(311,739) = 1.882289171147089325 C3(311,739) = 8.270120418803424566 C4(311,739) = 5912 Sum = 4198.391460322610926 Averaged sum = 0.4194616305647528150 logp*logq = 37.91304218949071972 -------------- ************************************* p = 311; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30121822441633521.76 -------------- Searches starting with [311,743]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(311,743) = 0.7571873797624979341 D2(311,743) = 0.08291581684544485358 C1(311,743) = 1.015711870196683358 C2(311,743) = 1.899653822615162156 C3(311,743) = 5.899563806556192701 C4(311,743) = 5944 Sum = 3998.501765558144708 Averaged sum = 0.3994906349843285751 logp*logq = 37.94402630204229148 -------------- ************************************* p = 311; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32031533316885195.81 -------------- Searches starting with [311,751]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(311,751) = 0.8920210789699546702 D2(311,751) = 0.08065783457859202321 C1(311,751) = 1.467661358499159779 C2(311,751) = 1.218078813440286626 C3(311,751) = 12.99578932982414988 C4(311,751) = 6008 Sum = 3482.324063116605742 Averaged sum = 0.3479192789605960378 logp*logq = 38.00549722865930281 -------------- ************************************* p = 311; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33528499866250229.69 -------------- Searches starting with [311,757]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(311,757) = 0.6201052042049766729 D2(311,757) = 0.09839967334962522538 C1(311,757) = 0.8659992848331323917 C2(311,757) = 1.938869696987100890 C3(311,757) = 4.541544635720736588 C4(311,757) = 6056 Sum = 4297.083804003886805 Averaged sum = 0.4293219906088407238 logp*logq = 38.05117221434173630 -------------- ************************************* p = 311; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34558209268703791.39 -------------- Searches starting with [311,761]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(311,761) = 0.5882416747693251533 D2(311,761) = 0.07874521533916303065 C1(311,761) = 0.8172437646760861134 C2(311,761) = 1.920238655769514672 C3(311,761) = 4.170644826892620992 C4(311,761) = 6088 Sum = 4070.620697466336873 Averaged sum = 0.4066960433076567962 logp*logq = 38.08142152236241660 -------------- ************************************* p = 311; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36696069551799217.18 -------------- Searches starting with [311,769]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(311,769) = 0.8203312503855796063 D2(311,769) = 0.04265771232891356403 C1(311,769) = 1.284101828127100690 C2(311,769) = 1.886181711414420145 C3(311,769) = 9.429746725245451567 C4(311,769) = 6152 Sum = 3329.577270799935735 Averaged sum = 0.3326583345788725882 logp*logq = 38.14144604755473056 -------------- ************************************* p = 311; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37805256438809179.95 -------------- Searches starting with [311,773]-exponents: u = 22, v = 6 n_start has 73 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(311,773) = 0.7635091074409135833 D2(311,773) = 0.02595623896380417396 C1(311,773) = 1.023888275003499155 C2(311,773) = 1.870487493474315392 C3(311,773) = 5.984459680455462243 C4(311,773) = 6184 Sum = 3849.994108568698261 Averaged sum = 0.3846532229562092378 logp*logq = 38.17122454709614519 -------------- ************************************* p = 311; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41907836670516303.47 -------------- Searches starting with [311,787]-exponents: u = 36, v = 6 n_start has 108 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(311,787) = 0.8975261244351353383 D2(311,787) = 0.04328808820435773038 C1(311,787) = 1.256464192754696357 C2(311,787) = 1.780262942351376732 C3(311,787) = 8.985162398967122157 C4(311,787) = 6296 Sum = 4599.780203095774899 Averaged sum = 0.4595644123384728643 logp*logq = 38.27424923705956038 -------------- ************************************* p = 311; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45057792235964457.09 -------------- Searches starting with [311,797]-exponents: u = 71, v = 6 n_start has 195 digits starting right neighbors generation We generated 2349 left neighbors We generated 7661 right neighbors We generated 10009 non-negative rho_i D1(311,797) = 0.8288950962898408472 D2(311,797) = 0.01248683005907378005 C1(311,797) = 1.168688490764566436 C2(311,797) = 1.675265290399325850 C3(311,797) = 7.707495542694411246 C4(311,797) = 6376 Sum = 3863.683254756674294 Averaged sum = 0.3860209066596737231 logp*logq = 38.34672233261955022 -------------- ************************************* p = 311; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49093309883531437.78 -------------- Searches starting with [311,809]-exponents: u = 1779, v = 6 n_start has 4453 digits --- performed 5000 steps in the continued fraction search [311,809]-exponents: u = 657, v = 965 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,809) = 0.6870652372899586023 D2(311,809) = 0.5628789622947223933 C1(311,809) = 0.8474787264997746544 C2(311,809) = 1.513203296413489194 C3(311,809) = 4.396918392786492039 C4(311,809) = 6472 Sum = 6046.799075953766201 Averaged sum = 0.6047403816335399741 logp*logq = 38.43249916550972221 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,809) = 0.6870652372899586023 D2(311,809) = 0.5628789622947223933 C1(311,809) = 0.8474787264997746544 C2(311,809) = 1.513203296413489194 C3(311,809) = 4.396918392786492039 C4(311,809) = 6472 Sum = 6046.799075953766201 Averaged sum = 0.6047403816335399741 logp*logq = 38.43249916550972221 -------------- ************************************* p = 311; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49794030430775192.54 -------------- Searches starting with [311,811]-exponents: u = 7, v = 515 n_start has 1516 digits --- performed 5000 steps in the continued fraction search [311,811]-exponents: u = 282, v = 271 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,811) = 0.6003087019119418674 D2(311,811) = 0.3913538414759132258 C1(311,811) = 0.7642499544310552867 C2(311,811) = 1.470938073910126876 C3(311,811) = 3.801774946050895954 C4(311,811) = 6488 Sum = 5518.099077435084103 Averaged sum = 0.5518650942529337036 logp*logq = 38.44667150088823779 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,811) = 0.6003087019119418674 D2(311,811) = 0.3913538414759132258 C1(311,811) = 0.7642499544310552867 C2(311,811) = 1.470938073910126876 C3(311,811) = 3.801774946050895954 C4(311,811) = 6488 Sum = 5518.099077435084103 Averaged sum = 0.5518650942529337036 logp*logq = 38.44667150088823779 -------------- ************************************* p = 311; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53422744686339502.71 -------------- Searches starting with [311,821]-exponents: u = 7, v = 65 n_start has 207 digits starting right neighbors generation We generated 2561 left neighbors We generated 7449 right neighbors We generated 10009 non-negative rho_i D1(311,821) = 0.8071962347037333224 D2(311,821) = 0.02321786113025912111 C1(311,821) = 1.085464143514248084 C2(311,821) = 1.649730630521986993 C3(311,821) = 6.664301540181217534 C4(311,821) = 6568 Sum = 3954.196927782635879 Averaged sum = 0.3950641350567125466 logp*logq = 38.51701298065000251 -------------- ************************************* p = 311; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54174050758450777.14 -------------- Searches starting with [311,823]-exponents: u = 7, v = 53 n_start has 172 digits starting right neighbors generation We generated 1813 left neighbors We generated 8197 right neighbors We generated 10009 non-negative rho_i D1(311,823) = 0.6636434145460269044 D2(311,823) = 0.006801947658750546322 C1(311,823) = 0.9375302080157891185 C2(311,823) = 1.696125118686260754 C3(311,823) = 5.146217465601550914 C4(311,823) = 6584 Sum = 4437.048681132239281 Averaged sum = 0.4433058928096952024 logp*logq = 38.53097842041588580 -------------- ************************************* p = 311; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55702853698699289.01 -------------- Searches starting with [311,827]-exponents: u = 7, v = 41 n_start has 138 digits starting right neighbors generation We generated 1057 left neighbors We generated 8953 right neighbors We generated 10009 non-negative rho_i D1(311,827) = 0.5375244710096428890 D2(311,827) = 0.04054595101667828544 C1(311,827) = 0.7401886651264572600 C2(311,827) = 1.730610557916837843 C3(311,827) = 3.645242144576879974 C4(311,827) = 6616 Sum = 4250.346565767686881 Averaged sum = 0.4246524693543497733 logp*logq = 38.55880777390136499 -------------- ************************************* p = 311; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56480509826585227.24 -------------- Searches starting with [311,829]-exponents: u = 7, v = 35 n_start has 120 digits starting right neighbors generation We generated 742 left neighbors We generated 9268 right neighbors We generated 10009 non-negative rho_i D1(311,829) = 0.7040119845562620000 D2(311,829) = 0.05864318010610709277 C1(311,829) = 1.021796264761628739 C2(311,829) = 1.749077140503186221 C3(311,829) = 5.962622665848129990 C4(311,829) = 6632 Sum = 4293.897385387255982 Averaged sum = 0.4290036352669853114 logp*logq = 38.57267201472959934 -------------- ************************************* p = 311; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60504570120576576.80 -------------- Searches starting with [311,839]-exponents: u = 7, v = 23 n_start has 85 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(311,839) = 0.5610018508214165019 D2(311,839) = 0.05645174915582717661 C1(311,839) = 0.7762706502128300605 C2(311,839) = 1.834101313307206479 C3(311,839) = 3.882476761646669968 C4(311,839) = 6712 Sum = 4214.182037126967751 Averaged sum = 0.4210392683711627287 logp*logq = 38.64149529627762454 -------------- ************************************* p = 311; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66533516072356727.23 -------------- Searches starting with [311,853]-exponents: u = 7, v = 17 n_start has 68 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(311,853) = 0.6021823889738033463 D2(311,853) = 0.1549907074502105372 C1(311,853) = 0.8273725407418739851 C2(311,853) = 1.935310449620502693 C3(311,853) = 4.245119271028972135 C4(311,853) = 6824 Sum = 4212.873658547648186 Averaged sum = 0.4209085481614195410 logp*logq = 38.73648221669467525 -------------- ************************************* p = 311; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68344336748804526.10 -------------- Searches starting with [311,857]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(311,857) = 0.9210832097111419586 D2(311,857) = 0.009435091577724994870 C1(311,857) = 1.458354888173342496 C2(311,857) = 1.919366867266181664 C3(311,857) = 12.78615654537127647 C4(311,857) = 6856 Sum = 3337.448749476723485 Averaged sum = 0.3334447746504869103 logp*logq = 38.76333509801001601 -------------- ************************************* p = 311; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69264892757460789.49 -------------- Searches starting with [311,859]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(311,859) = 0.7018994028396841148 D2(311,859) = 0.01461884189471927132 C1(311,859) = 0.9527026114581586270 C2(311,859) = 1.924960236498307179 C3(311,859) = 5.284481892113423854 C4(311,859) = 6872 Sum = 4191.180045603841468 Averaged sum = 0.4187411375366012057 logp*logq = 38.77671457472597435 -------------- ************************************* p = 311; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71136739432725404.66 -------------- Searches starting with [311,863]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(311,863) = 0.8110492991734979525 D2(311,863) = 0.02514514892192308233 C1(311,863) = 1.168012045780947076 C2(311,863) = 1.936302871580125980 C3(311,863) = 7.698390390853140771 C4(311,863) = 6904 Sum = 4382.806359681716640 Averaged sum = 0.4378865380838961574 logp*logq = 38.80338032727302640 -------------- ************************************* p = 311; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78020406107771195.57 -------------- Searches starting with [311,877]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(311,877) = 0.5897131690948749397 D2(311,877) = 0.06389013970264849700 C1(311,877) = 0.9916261925559912278 C2(311,877) = 1.977874929900680542 C3(311,877) = 5.656416400098611330 C4(311,877) = 7016 Sum = 3802.300169155113623 Averaged sum = 0.3798881176096626659 logp*logq = 38.89574680415087564 -------------- ************************************* p = 311; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80085122762108931.54 -------------- Searches starting with [311,881]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(311,881) = 0.8463332732371489103 D2(311,881) = 0.05637900449651681743 C1(311,881) = 1.422992138904863780 C2(311,881) = 1.265763855716016513 C3(311,881) = 12.01996935613132043 C4(311,881) = 7048 Sum = 3940.908490343204740 Averaged sum = 0.3937364861967434049 logp*logq = 38.92186649842742750 -------------- ************************************* p = 311; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81134276159858261.22 -------------- Searches starting with [311,883]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(311,883) = 1.674536410779150008 D2(311,883) = 0.04655278404038531796 C1(311,883) = 2.815352240691530070 C2(311,883) = 1.134500000528327154 C3(311,883) = 136.9494156978828994 C4(311,883) = 7064 Sum = 3902.219261094417793 Averaged sum = 0.3898710421714874406 logp*logq = 38.93488190743339123 -------------- ************************************* p = 311; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83266651220522442.27 -------------- Searches starting with [311,887]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(311,887) = 0.6958799719974097353 D2(311,887) = 0.06441535246929739350 C1(311,887) = 0.9434039386300852538 C2(311,887) = 1.380700237449505990 C3(311,887) = 5.199309690063906718 C4(311,887) = 7096 Sum = 4039.672308790713208 Averaged sum = 0.4036039872905098619 logp*logq = 38.96082451843190327 -------------- ************************************* p = 311; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94635339238713059.98 -------------- Searches starting with [311,907]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(311,907) = 0.7244955349565660753 D2(311,907) = 0.004775866356001684341 C1(311,907) = 1.022483454076618123 C2(311,907) = 1.951864492266094608 C3(311,907) = 5.969786946392495639 C4(311,907) = 7256 Sum = 3923.396644083967619 Averaged sum = 0.3919868762197989429 logp*logq = 39.08880736610178464 -------------- ************************************* p = 311; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97056048044400849.24 -------------- Searches starting with [311,911]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(311,911) = 0.7980577661582441625 D2(311,911) = 0.1203131415482925543 C1(311,911) = 1.271712055390490968 C2(311,911) = 1.316201505357024009 C3(311,911) = 9.227785193971128015 C4(311,911) = 7288 Sum = 3658.423333120514058 Averaged sum = 0.3655133712779012946 logp*logq = 39.11406502143405169 -------------- ************************************* p = 311; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102051024454636693.8 -------------- Searches starting with [311,919]-exponents: u = 19, v = 5 n_start has 63 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(311,919) = 0.6095342846364384291 D2(311,919) = 0.1223654824113914974 C1(311,919) = 0.8666136167978355875 C2(311,919) = 1.949611281240950575 C3(311,919) = 4.546422592054193023 C4(311,919) = 7352 Sum = 4113.744681908182651 Averaged sum = 0.4110045640831434360 logp*logq = 39.16424932286810305 -------------- ************************************* p = 311; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108591431547750952.4 -------------- Searches starting with [311,929]-exponents: u = 25, v = 5 n_start has 78 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(311,929) = 0.7713554736266156510 D2(311,929) = 0.05986968613123440452 C1(311,929) = 1.190099305537335272 C2(311,929) = 1.889212352477509973 C3(311,929) = 8.001324219923597728 C4(311,929) = 7432 Sum = 3129.669262097136444 Averaged sum = 0.3126855092513873957 logp*logq = 39.22636890010583517 -------------- ************************************* p = 311; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114069579507835417.4 -------------- Searches starting with [311,937]-exponents: u = 25, v = 5 n_start has 78 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(311,937) = 0.7190334468209429887 D2(311,937) = 0.01716171061526572719 C1(311,937) = 1.084935990686769479 C2(311,937) = 1.848165510115879187 C3(311,937) = 6.658153850494133771 C4(311,937) = 7496 Sum = 3724.669875526818917 Averaged sum = 0.3721320686908601176 logp*logq = 39.27558500367943358 -------------- ************************************* p = 311; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116893037561245490.8 -------------- Searches starting with [311,941]-exponents: u = 31, v = 5 n_start has 93 digits starting right neighbors generation We generated 367 left neighbors We generated 9643 right neighbors We generated 10009 non-negative rho_i D1(311,941) = 0.5842529969955351555 D2(311,941) = 0.08722570010956782037 C1(311,941) = 0.8262139010046167737 C2(311,941) = 1.835163000830831919 C3(311,941) = 4.236533153541220916 C4(311,941) = 7528 Sum = 3951.414959021784021 Averaged sum = 0.3947861883326789910 logp*logq = 39.30003570268639457 -------------- ************************************* p = 311; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121236255319592454.0 -------------- Searches starting with [311,947]-exponents: u = 37, v = 5 n_start has 108 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(311,947) = 0.7152975743886491766 D2(311,947) = 0.03977984584420032578 C1(311,947) = 1.000538932032803493 C2(311,947) = 1.788909024540993501 C3(311,947) = 5.745200864009645591 C4(311,947) = 7576 Sum = 4237.252022273234099 Averaged sum = 0.4233441924541147066 logp*logq = 39.33651756011382453 -------------- ************************************* p = 311; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125711878427664216.3 -------------- Searches starting with [311,953]-exponents: u = 43, v = 5 n_start has 123 digits starting right neighbors generation We generated 674 left neighbors We generated 9336 right neighbors We generated 10009 non-negative rho_i D1(311,953) = 0.9176364815438412457 D2(311,953) = 0.05543026694210417157 C1(311,953) = 1.329656399307979479 C2(311,953) = 1.743166586609095582 C3(311,953) = 10.21106921796120513 C4(311,953) = 7624 Sum = 4987.684040958997242 Averaged sum = 0.4983199161713455132 logp*logq = 39.37276900427342932 -------------- ************************************* p = 311; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136687788105883430.2 -------------- Searches starting with [311,967]-exponents: u = 97, v = 5 n_start has 257 digits starting right neighbors generation We generated 3563 left neighbors We generated 6447 right neighbors We generated 10009 non-negative rho_i D1(311,967) = 0.6316207629023917575 D2(311,967) = 0.01178316512731363156 C1(311,967) = 0.8697610778210542331 C2(311,967) = 1.578815593229501981 C3(311,967) = 4.571496561238485849 C4(311,967) = 7736 Sum = 4443.817993677417184 Averaged sum = 0.4439822153739052037 logp*logq = 39.45647580111597401 -------------- ************************************* p = 311; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139965101347096207.8 -------------- Searches starting with [311,971]-exponents: u = 145, v = 5 n_start has 377 digits --- performed 5000 steps in the continued fraction search [311,971]-exponents: u = 3, v = 82 --- starting right neighbors generation We generated 7836 left neighbors We generated 2174 right neighbors We generated 10009 non-negative rho_i D1(311,971) = 0.7264910696566598085 D2(311,971) = 0.008725657976943714227 C1(311,971) = 0.9815755016896380586 C2(311,971) = 1.499900228612607523 C3(311,971) = 5.557941117781468257 C4(311,971) = 7768 Sum = 4550.646387568865613 Averaged sum = 0.4546554488529189343 logp*logq = 39.48016951035337037 -------------- ************************************* p = 311; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145002545070520800.7 -------------- Searches starting with [311,977]-exponents: u = 421, v = 5 n_start has 1065 digits --- performed 5000 steps in the continued fraction search [311,977]-exponents: u = 295, v = 98 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,977) = 0.7977078635404876579 D2(311,977) = 0.3151285668964727347 C1(311,977) = 1.028390946796885159 C2(311,977) = 1.473127165026823435 C3(311,977) = 6.031731570633480550 C4(311,977) = 7816 Sum = 5276.087785320779265 Averaged sum = 0.5276615446865465812 logp*logq = 39.51552768938770970 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,977) = 0.7977078635404876579 D2(311,977) = 0.3151285668964727347 C1(311,977) = 1.028390946796885159 C2(311,977) = 1.473127165026823435 C3(311,977) = 6.031731570633480550 C4(311,977) = 7816 Sum = 5276.087785320779265 Averaged sum = 0.5276615446865465812 logp*logq = 39.51552768938770970 -------------- ************************************* p = 311; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150188773597040458.2 -------------- Searches starting with [311,983]-exponents: u = 6, v = 399 n_start has 1209 digits **************************************************** Computing .... elapsed time = 35 minutes **************************************************** --- performed 5000 steps in the continued fraction search [311,983]-exponents: u = 135, v = 281 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,983) = 0.6129613655819332505 D2(311,983) = 0.3425002132261005130 C1(311,983) = 0.7865121304561552496 C2(311,983) = 1.479531391337429182 C3(311,983) = 3.952583793853491316 C4(311,983) = 7864 Sum = 5352.828616112103746 Averaged sum = 0.5353363952507354481 logp*logq = 39.55066938841829533 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(311,983) = 0.6129613655819332505 D2(311,983) = 0.3425002132261005130 C1(311,983) = 0.7865121304561552496 C2(311,983) = 1.479531391337429182 C3(311,983) = 3.952583793853491316 C4(311,983) = 7864 Sum = 5352.828616112103746 Averaged sum = 0.5353363952507354481 logp*logq = 39.55066938841829533 -------------- ************************************* p = 311; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 157341152281089507.1 -------------- Searches starting with [311,991]-exponents: u = 6, v = 104 n_start has 327 digits --- performed 5000 steps in the continued fraction search [311,991]-exponents: u = 34, v = 27 --- starting right neighbors generation We generated 5867 left neighbors We generated 4143 right neighbors We generated 10009 non-negative rho_i D1(311,991) = 0.7374719485772094312 D2(311,991) = 0.009498685891495887082 C1(311,991) = 1.004372260888690151 C2(311,991) = 1.534929727232157985 C3(311,991) = 5.783813970008667860 C4(311,991) = 7928 Sum = 4396.609309754874430 Averaged sum = 0.4392655919427389779 logp*logq = 39.59719278729513086 -------------- ************************************* p = 311; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162888046718047058.6 -------------- Searches starting with [311,997]-exponents: u = 6, v = 64 n_start has 207 digits starting right neighbors generation We generated 2279 left neighbors We generated 7731 right neighbors We generated 10009 non-negative rho_i D1(311,997) = 0.5962607629036080635 D2(311,997) = 0.01403372671644252350 C1(311,997) = 0.8320510848632834756 C2(311,997) = 1.633581595423740077 C3(311,997) = 4.279967056203950433 C4(311,997) = 7976 Sum = 4368.455344828771592 Averaged sum = 0.4364527270285514628 logp*logq = 39.63183952979106918 -------------- ************************************* p = 313; q = 317; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 235285255481395.7640 -------------- Searches starting with [313,317]-exponents: u = 1, v = 452 n_start has 1133 digits --- performed 5000 steps in the continued fraction search [313,317]-exponents: u = 83, v = 359 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,317) = 0.6410454587593890335 D2(313,317) = 0.1481675072061739790 C1(313,317) = 0.8243210336915096979 C2(313,317) = 1.150916494299458200 C3(313,317) = 4.226430322445984283 C4(313,317) = 2536 Sum = 5553.372306999228268 Averaged sum = 0.5553927699769205189 logp*logq = 33.09181974706097785 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,317) = 0.6410454587593890335 D2(313,317) = 0.1481675072061739790 C1(313,317) = 0.8243210336915096979 C2(313,317) = 1.150916494299458200 C3(313,317) = 4.226430322445984283 C4(313,317) = 2536 Sum = 5553.372306999228268 Averaged sum = 0.5553927699769205189 logp*logq = 33.09181974706097785 -------------- ************************************* p = 313; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 301608556037127.6203 -------------- Searches starting with [313,331]-exponents: u = 1, v = 102 n_start has 260 digits starting right neighbors generation We generated 1273 left neighbors We generated 8737 right neighbors We generated 10009 non-negative rho_i D1(313,331) = 0.6775607695783053192 D2(313,331) = 0.01144313000099110938 C1(313,331) = 0.9326516252775271670 C2(313,331) = 1.268654180936253954 C3(313,331) = 5.107847285190758883 C4(313,331) = 2648 Sum = 4863.735455273584397 Averaged sum = 0.4859362029447082023 logp*logq = 33.34015112048332920 -------------- ************************************* p = 313; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334406723667795.1163 -------------- Searches starting with [313,337]-exponents: u = 1, v = 77 n_start has 198 digits starting right neighbors generation We generated 744 left neighbors We generated 9266 right neighbors We generated 10009 non-negative rho_i D1(313,337) = 0.6703590325547810129 D2(313,337) = 0.01524144386192108874 C1(313,337) = 0.9386192722620453159 C2(313,337) = 1.332834395497489720 C3(313,337) = 5.161425009263528209 C4(313,337) = 2696 Sum = 4807.009404220439420 Averaged sum = 0.4802686985933099630 logp*logq = 33.44337910359902528 -------------- ************************************* p = 313; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 395593669405919.7976 -------------- Searches starting with [313,347]-exponents: u = 1, v = 55 n_start has 143 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(313,347) = 0.6111979358047521931 D2(313,347) = 0.03837256702153252882 C1(313,347) = 0.8755288961347512772 C2(313,347) = 1.434687937847154019 C3(313,347) = 4.622319810023522624 C4(313,347) = 2776 Sum = 4507.634425309650001 Averaged sum = 0.4503581202227645120 logp*logq = 33.61140871303622192 -------------- ************************************* p = 313; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 408875964297889.7269 -------------- Searches starting with [313,349]-exponents: u = 1, v = 52 n_start has 135 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(313,349) = 0.6491414542614051873 D2(313,349) = 0.02347942921400610117 C1(313,349) = 0.9336874301483927408 C2(313,349) = 1.435953978144464735 C3(313,349) = 5.117106722617600745 C4(313,349) = 2792 Sum = 4551.489467549496735 Averaged sum = 0.4547396810420118628 logp*logq = 33.64443296020165472 -------------- ************************************* p = 313; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 436547133520236.9154 -------------- Searches starting with [313,353]-exponents: u = 1, v = 47 n_start has 123 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(313,353) = 0.6412594357063964144 D2(313,353) = 0.04566940543830218770 C1(313,353) = 0.9293681491254877025 C2(313,353) = 1.482425088712899352 C3(313,353) = 5.078605689654045845 C4(313,353) = 2824 Sum = 4441.567933967340931 Averaged sum = 0.4437574117261805306 logp*logq = 33.70991746595200309 -------------- ************************************* p = 313; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 480941078066111.5455 -------------- Searches starting with [313,359]-exponents: u = 1, v = 41 n_start has 108 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(313,359) = 0.7898118938383017426 D2(313,359) = 0.007640952499210246954 C1(313,359) = 1.156986495266865617 C2(313,359) = 1.486872873532842312 C3(313,359) = 7.561248953353441702 C4(313,359) = 2872 Sum = 4759.176290995063157 Averaged sum = 0.4754896883799643477 logp*logq = 33.80676587970766285 -------------- ************************************* p = 313; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 545873889064166.7834 -------------- Searches starting with [313,367]-exponents: u = 1, v = 36 n_start has 95 digits starting right neighbors generation We generated 212 left neighbors We generated 9798 right neighbors We generated 10009 non-negative rho_i D1(313,367) = 0.7643891891772601006 D2(313,367) = 0.01558890632619280119 C1(313,367) = 1.134542513012874979 C2(313,367) = 1.538942181134085230 C3(313,367) = 7.270261033726284729 C4(313,367) = 2936 Sum = 2726.793270638032785 Averaged sum = 0.2724341363410962919 logp*logq = 33.93340909258526719 -------------- ************************************* p = 313; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 599185775076635.8819 -------------- Searches starting with [313,373]-exponents: u = 1, v = 32 n_start has 85 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(313,373) = 0.6817358708135302550 D2(313,373) = 0.01297450062078318188 C1(313,373) = 0.9247488252215048255 C2(313,373) = 1.567808780524067948 C3(313,373) = 5.037750655188260721 C4(313,373) = 2984 Sum = 4264.079373706671950 Averaged sum = 0.4260245153068909931 logp*logq = 34.02659280799101116 -------------- ************************************* p = 313; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 656726975469796.3089 -------------- Searches starting with [313,379]-exponents: u = 1, v = 30 n_start has 80 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(313,379) = 0.9798458575773619021 D2(313,379) = 0.04732365670454316446 C1(313,379) = 1.478775035532192785 C2(313,379) = 1.626360623976007177 C3(313,379) = 13.27252750820299541 C4(313,379) = 3032 Sum = 2471.549318867819150 Averaged sum = 0.2469326924635647068 logp*logq = 34.11828948559231177 -------------- ************************************* p = 313; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 697565569930357.1322 -------------- Searches starting with [313,383]-exponents: u = 1, v = 28 n_start has 75 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(313,383) = 0.7580277560785418793 D2(313,383) = 0.08656228586284131133 C1(313,383) = 1.083087024550622859 C2(313,383) = 1.678949869843458973 C3(313,383) = 6.644704698959203567 C4(313,383) = 3064 Sum = 4355.467840332596891 Averaged sum = 0.4351551444032967220 logp*logq = 34.17861763227429371 -------------- ************************************* p = 313; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 762740245873757.9498 -------------- Searches starting with [313,389]-exponents: u = 1, v = 26 n_start has 70 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(313,389) = 0.6154600749631607250 D2(313,389) = 0.07256782020590120387 C1(313,389) = 0.8840067848225463531 C2(313,389) = 1.692927808741330155 C3(313,389) = 4.691351110309809801 C4(313,389) = 3112 Sum = 3994.975884564118790 Averaged sum = 0.3991383639288758906 logp*logq = 34.26793865133966880 -------------- ************************************* p = 313; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 857389778122087.8266 -------------- Searches starting with [313,397]-exponents: u = 1, v = 24 n_start has 65 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(313,397) = 0.7576733625513332172 D2(313,397) = 0.08040629692761923068 C1(313,397) = 1.021725500894638947 C2(313,397) = 1.732696833754279026 C3(313,397) = 5.968688458772589071 C4(313,397) = 3176 Sum = 4178.767654765938227 Averaged sum = 0.4175010145634866847 logp*logq = 34.38491374807371138 -------------- ************************************* p = 313; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 908231372468307.6098 -------------- Searches starting with [313,401]-exponents: u = 1, v = 23 n_start has 63 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(313,401) = 0.7201350274365353040 D2(313,401) = 0.06746709921473346596 C1(313,401) = 0.9826953708590751819 C2(313,401) = 1.737155589894857443 C3(313,401) = 5.574939679745208219 C4(313,401) = 3208 Sum = 4162.103849221340656 Averaged sum = 0.4158361324029713913 logp*logq = 34.44252027756361851 -------------- ************************************* p = 313; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1017402511287748.863 -------------- Searches starting with [313,409]-exponents: u = 1, v = 21 n_start has 58 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(313,409) = 0.8174006033089697218 D2(313,409) = 0.01271505364711022876 C1(313,409) = 1.192862599366374166 C2(313,409) = 1.720679167807016717 C3(313,409) = 8.050765344444780154 C4(313,409) = 3272 Sum = 4182.857771041183967 Averaged sum = 0.4179096584115480035 logp*logq = 34.55602921665282276 -------------- ************************************* p = 313; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1168892534942087.395 -------------- Searches starting with [313,419]-exponents: u = 1, v = 19 n_start has 53 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(313,419) = 0.5930163649500483974 D2(313,419) = 0.09437692949175997085 C1(313,419) = 0.8442642392178412623 C2(313,419) = 1.825729261883092625 C3(313,419) = 4.376412043101402103 C4(313,419) = 3352 Sum = 4063.979739560857313 Averaged sum = 0.4060325446658864335 logp*logq = 34.69483314412619778 -------------- ************************************* p = 313; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1201318463537265.053 -------------- Searches starting with [313,421]-exponents: u = 1, v = 19 n_start has 53 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(313,421) = 0.5924250077237435677 D2(313,421) = 0.1446316009553045600 C1(313,421) = 0.8164000370202930424 C2(313,421) = 1.876708357645154110 C3(313,421) = 4.168297033829434022 C4(313,421) = 3368 Sum = 4341.185779790596755 Averaged sum = 0.4337282225787388105 logp*logq = 34.72219606816838711 -------------- ************************************* p = 313; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1374806874857692.102 -------------- Searches starting with [313,431]-exponents: u = 1, v = 17 n_start has 48 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(313,431) = 0.9396466940504207454 D2(313,431) = 0.02959940633305200526 C1(313,431) = 1.497650852049785175 C2(313,431) = 1.809928354859537311 C3(313,431) = 13.71789802603374940 C4(313,431) = 3448 Sum = 3981.179406883330404 Averaged sum = 0.3977599567272784898 logp*logq = 34.85708966151559077 -------------- ************************************* p = 313; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1411871468099669.721 -------------- Searches starting with [313,433]-exponents: u = 1, v = 17 n_start has 48 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(313,433) = 0.5980386476746317333 D2(313,433) = 0.06592047310881507311 C1(313,433) = 0.8125313178622331856 C2(313,433) = 1.846964317720608499 C3(313,433) = 4.140195295920490092 C4(313,433) = 3464 Sum = 4079.554839585372932 Averaged sum = 0.4075886541697844871 logp*logq = 34.88369250158038800 -------------- ************************************* p = 313; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1528051730700216.234 -------------- Searches starting with [313,439]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(313,439) = 1.148966822869536156 D2(313,439) = 0.009579985913428485898 C1(313,439) = 1.844037851013834161 C2(313,439) = 1.818244662207373716 C3(313,439) = 25.13780011051908177 C4(313,439) = 3512 Sum = 4548.998797238686777 Averaged sum = 0.4544908379696959514 logp*logq = 34.96276994025223925 -------------- ************************************* p = 313; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1609805975305694.033 -------------- Searches starting with [313,443]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(313,443) = 0.6627701115228071132 D2(313,443) = 0.07627234627807201181 C1(313,443) = 0.9887373835959330820 C2(313,443) = 1.886349144212623817 C3(313,443) = 5.634149443332498417 C4(313,443) = 3544 Sum = 3760.343431936993976 Averaged sum = 0.3756962165987605132 logp*logq = 35.01489005441238616 -------------- ************************************* p = 313; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1739187425543868.153 -------------- Searches starting with [313,449]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(313,449) = 0.7860961536356180379 D2(313,449) = 0.1283732992462870182 C1(313,449) = 1.271241417546526650 C2(313,449) = 1.264144024890055080 C3(313,449) = 9.233291615670224348 C4(313,449) = 3592 Sum = 4031.172954708075013 Averaged sum = 0.4027548161362848449 logp*logq = 35.09219440224628157 -------------- ************************************* p = 313; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1924947793079652.573 -------------- Searches starting with [313,457]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(313,457) = 0.8936068835808096539 D2(313,457) = 0.1232052756902767931 C1(313,457) = 1.195145410054557096 C2(313,457) = 1.425117479699033465 C3(313,457) = 8.082964873432531980 C4(313,457) = 3656 Sum = 3882.338301412134245 Averaged sum = 0.3878847338807207758 logp*logq = 35.19367524180456343 -------------- ************************************* p = 313; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2023796106811317.859 -------------- Searches starting with [313,461]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(313,461) = 0.6463166820722205587 D2(313,461) = 0.1465291395556394218 C1(313,461) = 0.8944827683885897504 C2(313,461) = 1.753251318285324558 C3(313,461) = 4.778077616805091196 C4(313,461) = 3688 Sum = 4099.184921051429622 Averaged sum = 0.4095498971976650636 logp*logq = 35.24375140352007356 -------------- ************************************* p = 313; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2074770169671920.643 -------------- Searches starting with [313,463]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(313,463) = 0.7956311703656220777 D2(313,463) = 0.01710530067671058075 C1(313,463) = 1.156970006546483910 C2(313,463) = 1.893426573530484594 C3(313,463) = 7.561030956796975361 C4(313,463) = 3704 Sum = 3895.655791524508296 Averaged sum = 0.3892152853955947943 logp*logq = 35.26862678085493378 -------------- ************************************* p = 313; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2179903033174680.963 -------------- Searches starting with [313,467]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(313,467) = 0.6460375643511597699 D2(313,467) = 0.07376754656429528646 C1(313,467) = 0.8662411487770796007 C2(313,467) = 1.951452570254936600 C3(313,467) = 4.547859628589554866 C4(313,467) = 3736 Sum = 3967.736605666743447 Averaged sum = 0.3964168853698414874 logp*logq = 35.31805679052730921 -------------- ************************************* p = 313; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2522042953677025.577 -------------- Searches starting with [313,479]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(313,479) = 1.080061467569902705 D2(313,479) = 0.02526961949638420960 C1(313,479) = 1.640910120269049160 C2(313,479) = 1.941964180532019877 C3(313,479) = 17.62284143078451729 C4(313,479) = 3832 Sum = 4218.024737135506403 Averaged sum = 0.4214231928399946451 logp*logq = 35.46384566390117079 -------------- ************************************* p = 313; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2773878865280035.357 -------------- Searches starting with [313,487]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(313,487) = 1.694983625912850393 D2(313,487) = 0.07571717491726868590 C1(313,487) = 2.818015508102146881 C2(313,487) = 1.138914185718667658 C3(313,487) = 138.0217009382353674 C4(313,487) = 3896 Sum = 5643.315596414263990 Averaged sum = 0.5638241179352846428 logp*logq = 35.55902304796234086 -------------- ************************************* p = 313; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2907375029076337.855 -------------- Searches starting with [313,491]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(313,491) = 0.6570497103415410549 D2(313,491) = 0.1137512628272622887 C1(313,491) = 0.9437485288178044632 C2(313,491) = 1.781645819974493501 C3(313,491) = 5.207924525310933260 C4(313,491) = 3928 Sum = 3702.091506299492216 Averaged sum = 0.3698762619941544826 logp*logq = 35.60602701713667104 -------------- ************************************* p = 313; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3190317922529947.669 -------------- Searches starting with [313,499]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(313,499) = 0.7341360072530021866 D2(313,499) = 0.03816919535279634560 C1(313,499) = 1.082118556522463541 C2(313,499) = 2.001027581604531456 C3(313,499) = 6.633462048453963151 C4(313,499) = 3992 Sum = 3477.030728224667676 Averaged sum = 0.3473904214431679164 logp*logq = 35.69889696897658117 -------------- ************************************* p = 313; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3340093122403755.538 -------------- Searches starting with [313,503]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(313,503) = 0.7469448250456592467 D2(313,503) = 0.07678099238297729224 C1(313,503) = 1.020713809733464876 C2(313,503) = 1.353446317866223465 C3(313,503) = 5.958139291049821654 C4(313,503) = 4024 Sum = 4438.180876512411794 Averaged sum = 0.4434190105417536012 logp*logq = 35.74477508246983584 -------------- ************************************* p = 313; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3575611758151157.785 -------------- Searches starting with [313,509]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(313,509) = 0.8402148114842063180 D2(313,509) = 0.09597240440084092638 C1(313,509) = 1.137086890422112635 C2(313,509) = 1.800162899702534851 C3(313,509) = 7.302678074898087528 C4(313,509) = 4072 Sum = 4070.419610005574243 Averaged sum = 0.4066759526431785636 logp*logq = 35.81291267757826342 -------------- ************************************* p = 313; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4087912523184454.270 -------------- Searches starting with [313,521]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(313,521) = 0.5586909421005764546 D2(313,521) = 0.02096276536500163457 C1(313,521) = 0.7780032265152060421 C2(313,521) = 2.036199223296623119 C3(313,521) = 3.897632175305736707 C4(313,521) = 4168 Sum = 4275.624979855597724 Averaged sum = 0.4271780377515833474 logp*logq = 35.94681084914489368 -------------- ************************************* p = 313; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4178910578210744.294 -------------- Searches starting with [313,523]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(313,523) = 0.6824968443126369483 D2(313,523) = 0.04074435053570458930 C1(313,523) = 0.9727934111407774266 C2(313,523) = 2.056608734384158268 C3(313,523) = 5.479246171643019341 C4(313,523) = 4184 Sum = 3678.430763742344437 Averaged sum = 0.3675123152904730180 logp*logq = 35.96882698025586340 -------------- ************************************* p = 313; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5075827392294611.576 -------------- Searches starting with [313,541]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(313,541) = 1.443128394777151813 D2(313,541) = 0.06620187153071075426 C1(313,541) = 2.247904886117225401 C2(313,541) = 1.815565382412436944 C3(313,541) = 50.93498856446736360 C4(313,541) = 4328 Sum = 4659.727585978913194 Averaged sum = 0.4655537602136989903 logp*logq = 36.16326593951456231 -------------- ************************************* p = 313; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5407935587982572.315 -------------- Searches starting with [313,547]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(313,547) = 0.5721574151312608339 D2(313,547) = 0.05282221637746054574 C1(313,547) = 0.8011233560409364346 C2(313,547) = 1.575279966870588033 C3(313,547) = 4.058427932250527695 C4(313,547) = 4376 Sum = 4059.468746152755679 Averaged sum = 0.4055818509494210889 logp*logq = 36.22664382307423643 -------------- ************************************* p = 313; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6001252270241680.519 -------------- Searches starting with [313,557]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(313,557) = 0.9747096543841169496 D2(313,557) = 0.03773888197265750590 C1(313,557) = 1.685465531662737038 C2(313,557) = 1.133966868446121000 C3(313,557) = 19.05067926736039037 C4(313,557) = 4456 Sum = 3823.055901269956219 Averaged sum = 0.3819618244849591586 logp*logq = 36.33074455406842877 -------------- ************************************* p = 313; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6382342614309664.794 -------------- Searches starting with [313,563]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(313,563) = 0.5977350656823105473 D2(313,563) = 0.04798782896906574084 C1(313,563) = 0.8060486282911239176 C2(313,563) = 1.844304204394882551 C3(313,563) = 4.093530178172606241 C4(313,563) = 4504 Sum = 4103.441640409859655 Averaged sum = 0.4099751863732500405 logp*logq = 36.39231160579924400 -------------- ************************************* p = 313; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6783204267065781.332 -------------- Searches starting with [313,569]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(313,569) = 0.7047056683771167545 D2(313,569) = 0.04291660115874804808 C1(313,569) = 0.9547852563872531988 C2(313,569) = 1.841195462207878487 C3(313,569) = 5.309403877752552782 C4(313,569) = 4552 Sum = 4055.834966955070067 Averaged sum = 0.4052187997757088687 logp*logq = 36.45322599098197503 -------------- ************************************* p = 313; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6921356200888542.313 -------------- Searches starting with [313,571]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(313,571) = 0.6781417212734824541 D2(313,571) = 0.04125292269449434609 C1(313,571) = 0.9385273424016557814 C2(313,571) = 1.840181256864951405 C3(313,571) = 5.160595413126046423 C4(313,571) = 4568 Sum = 4335.638587172267492 Averaged sum = 0.4331740021153229585 logp*logq = 36.47338812812550741 -------------- ************************************* p = 313; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7349829545366255.655 -------------- Searches starting with [313,577]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(313,577) = 0.7238622491084280423 D2(313,577) = 0.03331324467063439924 C1(313,577) = 1.044192174680328543 C2(313,577) = 1.684218101994612459 C3(313,577) = 6.207828005334343949 C4(313,577) = 4616 Sum = 4199.184716225088977 Averaged sum = 0.4195408848261653488 logp*logq = 36.53345351675988081 -------------- ************************************* p = 313; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8112544477130157.811 -------------- Searches starting with [313,587]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(313,587) = 0.6396292010191351878 D2(313,587) = 0.02175705936681776066 C1(313,587) = 0.9020033041076474540 C2(313,587) = 1.404016764210390437 C3(313,587) = 4.841324042520253316 C4(313,587) = 4696 Sum = 3679.671571574550806 Averaged sum = 0.3676362845014038171 logp*logq = 36.63218795946887323 -------------- ************************************* p = 313; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8600738165977190.452 -------------- Searches starting with [313,593]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(313,593) = 1.321627435904706679 D2(313,593) = 0.01492064019415725971 C1(313,593) = 2.325246171979635419 C2(313,593) = 1.054995391136642475 C3(313,593) = 58.31062740972947343 C4(313,593) = 4744 Sum = 3640.453784937059927 Averaged sum = 0.3637180322646677917 logp*logq = 36.69062442773984609 -------------- ************************************* p = 313; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9112947500205969.801 -------------- Searches starting with [313,599]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(313,599) = 0.6681456670223873532 D2(313,599) = 0.01974265860620428875 C1(313,599) = 0.9440666837363804718 C2(313,599) = 1.874421873098417102 C3(313,599) = 5.210822532995558903 C4(313,599) = 4792 Sum = 4418.351964302148139 Averaged sum = 0.4414379023181284982 logp*logq = 36.74847259942991416 -------------- ************************************* p = 313; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9289179544024918.305 -------------- Searches starting with [313,601]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(313,601) = 0.6462936372706541251 D2(313,601) = 0.01821660917106612026 C1(313,601) = 0.9366709772132877893 C2(313,601) = 1.873527137568351788 C3(313,601) = 5.143871651157501133 C4(313,601) = 4808 Sum = 3483.940135366223627 Averaged sum = 0.3480807408698395071 logp*logq = 36.76762662780027259 -------------- ************************************* p = 313; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9834849910221413.056 -------------- Searches starting with [313,607]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(313,607) = 0.7819675558981198314 D2(313,607) = 0.01370218042103431102 C1(313,607) = 1.188033819295046272 C2(313,607) = 1.870893866244557636 C3(313,607) = 7.983076383781518563 C4(313,607) = 4856 Sum = 3075.389159006570545 Averaged sum = 0.3072623797588740679 logp*logq = 36.82470858585451984 -------------- ************************************* p = 313; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10406729643818769.98 -------------- Searches starting with [313,613]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(313,613) = 0.5740135036648479219 D2(313,613) = 0.009280324305010953480 C1(313,613) = 0.7896780247168714979 C2(313,613) = 1.868334287685518970 C3(313,613) = 3.978015504357800923 C4(313,613) = 4904 Sum = 4213.898495066444997 Averaged sum = 0.4210109396609496450 logp*logq = 36.88122907292770405 -------------- ************************************* p = 313; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10803028257683951.21 -------------- Searches starting with [313,617]-exponents: u = 19, v = 8 n_start has 70 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(313,617) = 0.8942573245540764353 D2(313,617) = 0.005837651768489569773 C1(313,617) = 1.209773794256322845 C2(313,617) = 1.707444208733972959 C3(313,617) = 8.292380241936480423 C4(313,617) = 4936 Sum = 4195.134204108500753 Averaged sum = 0.4191361978328005548 logp*logq = 36.91860288396773938 -------------- ************************************* p = 313; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11005802482372771.55 -------------- Searches starting with [313,619]-exponents: u = 19, v = 8 n_start has 70 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(313,619) = 0.7962929063546529234 D2(313,619) = 0.004525300881356236903 C1(313,619) = 1.128623263946537134 C2(313,619) = 1.706667767421870347 C3(313,619) = 7.195401610308057579 C4(313,619) = 4952 Sum = 4597.469061955088071 Averaged sum = 0.4593335060400727416 logp*logq = 36.93719902702820773 -------------- ************************************* p = 313; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12289596885196209.60 -------------- Searches starting with [313,631]-exponents: u = 46, v = 8 n_start has 138 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(313,631) = 0.7616498706347466472 D2(313,631) = 0.05561472273925760603 C1(313,631) = 1.109495127083976215 C2(313,631) = 1.760620558240438080 C3(313,631) = 6.958722142626394633 C4(313,631) = 5048 Sum = 3457.245719000072128 Averaged sum = 0.3454136995703938583 logp*logq = 37.04752951772255355 -------------- ************************************* p = 313; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13451681152688702.78 -------------- Searches starting with [313,641]-exponents: u = 550, v = 8 n_start has 1396 digits --- performed 5000 steps in the continued fraction search [313,641]-exponents: u = 10, v = 479 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,641) = 0.5752969736568520921 D2(313,641) = 0.3846184122586506706 C1(313,641) = 0.7347173236394219497 C2(313,641) = 1.447376571557549628 C3(313,641) = 3.613519148744610034 C4(313,641) = 5128 Sum = 5514.388677221195211 Averaged sum = 0.5514940171238319043 logp*logq = 37.13788048591254791 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,641) = 0.5752969736568520921 D2(313,641) = 0.3846184122586506706 C1(313,641) = 0.7347173236394219497 C2(313,641) = 1.447376571557549628 C3(313,641) = 3.613519148744610034 C4(313,641) = 5128 Sum = 5514.388677221195211 Averaged sum = 0.5514940171238319043 logp*logq = 37.13788048591254791 -------------- ************************************* p = 313; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13694647321080020.73 -------------- Searches starting with [313,643]-exponents: u = 9, v = 431 n_start has 1233 digits --- performed 5000 steps in the continued fraction search [313,643]-exponents: u = 120, v = 322 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,643) = 1.093224569268535695 D2(313,643) = 0.4039175393269306569 C1(313,643) = 1.402328732164382400 C2(313,643) = 1.484341845815941932 C3(313,643) = 11.61185931474942479 C4(313,643) = 5144 Sum = 5455.170353931481670 Averaged sum = 0.5455715925524034073 logp*logq = 37.15578144490858771 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,643) = 1.093224569268535695 D2(313,643) = 0.4039175393269306569 C1(313,643) = 1.402328732164382400 C2(313,643) = 1.484341845815941932 C3(313,643) = 11.61185931474942479 C4(313,643) = 5144 Sum = 5455.170353931481670 Averaged sum = 0.5455715925524034073 logp*logq = 37.15578144490858771 -------------- ************************************* p = 313; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14191462236478055.75 -------------- Searches starting with [313,647]-exponents: u = 9, v = 87 n_start has 268 digits starting right neighbors generation We generated 2236 left neighbors We generated 7774 right neighbors We generated 10009 non-negative rho_i D1(313,647) = 0.6134537216979188496 D2(313,647) = 0.009502046533851918697 C1(313,647) = 1.009549759426391790 C2(313,647) = 1.345656501727009963 C3(313,647) = 5.842959615177993301 C4(313,647) = 5176 Sum = 4342.633565298746428 Averaged sum = 0.4338728709460232219 logp*logq = 37.19141692774181295 -------------- ************************************* p = 313; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14964530761299560.67 -------------- Searches starting with [313,653]-exponents: u = 9, v = 39 n_start has 133 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(313,653) = 0.6026762088552333763 D2(313,653) = 0.03505960913892682725 C1(313,653) = 0.8156199916871256821 C2(313,653) = 1.543271244848174516 C3(313,653) = 4.162615602477893696 C4(313,653) = 5224 Sum = 4138.490972727221406 Averaged sum = 0.4134769680015207719 logp*logq = 37.24445917998031529 -------------- ************************************* p = 313; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15772057914043391.65 -------------- Searches starting with [313,659]-exponents: u = 9, v = 23 n_start has 88 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(313,659) = 0.6718726498581637814 D2(313,659) = 0.06625790665177879378 C1(313,659) = 0.9576541021203430390 C2(313,659) = 1.701975124724082909 C3(313,659) = 5.336104297593874450 C4(313,659) = 5272 Sum = 4199.575369569681284 Averaged sum = 0.4195799150334380342 logp*logq = 37.29701628287236724 -------------- ************************************* p = 313; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16049097833211546.56 -------------- Searches starting with [313,661]-exponents: u = 9, v = 23 n_start has 88 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(313,661) = 0.6963853675010495016 D2(313,661) = 0.07618293247951716959 C1(313,661) = 0.9431507197663069608 C2(313,661) = 1.712408263321566940 C3(313,661) = 5.202483564361891922 C4(313,661) = 5288 Sum = 4044.858267292079678 Averaged sum = 0.4041221168240663081 logp*logq = 37.31442903313813089 -------------- ************************************* p = 313; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17797097714891501.64 -------------- Searches starting with [313,673]-exponents: u = 9, v = 15 n_start has 65 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(313,673) = 1.020562488569306462 D2(313,673) = 0.09889113504438901742 C1(313,673) = 1.650431555236094710 C2(313,673) = 1.191629348179414383 C3(313,673) = 17.91869305391163074 C4(313,673) = 5384 Sum = 3072.686245364357880 Averaged sum = 0.3069923314381414606 logp*logq = 37.41781178918947666 -------------- ************************************* p = 313; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18413554819753818.09 -------------- Searches starting with [313,677]-exponents: u = 17, v = 7 n_start has 63 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(313,677) = 0.5890564673941037328 D2(313,677) = 0.1300549043795225615 C1(313,677) = 0.8268922504986713451 C2(313,677) = 1.893368854611387345 C3(313,677) = 4.245474597596451140 C4(313,677) = 5416 Sum = 3882.067896595457002 Averaged sum = 0.3878577177136034570 logp*logq = 37.45186346330041626 -------------- ************************************* p = 313; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19371234155863803.54 -------------- Searches starting with [313,683]-exponents: u = 17, v = 7 n_start has 63 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(313,683) = 0.8575707480857387198 D2(313,683) = 0.09077555763910642670 C1(313,683) = 1.189187107550585915 C2(313,683) = 1.855753053923600355 C3(313,683) = 7.999191057764537575 C4(313,683) = 5464 Sum = 4601.330635672978103 Averaged sum = 0.4597193161827333503 logp*logq = 37.50256558510958309 -------------- ************************************* p = 313; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20711798642466851.14 -------------- Searches starting with [313,691]-exponents: u = 25, v = 7 n_start has 83 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(313,691) = 0.7574045868212330165 D2(313,691) = 0.04506621921535631860 C1(313,691) = 1.136179388648594462 C2(313,691) = 1.812238855747888867 C3(313,691) = 7.291099355810683496 C4(313,691) = 5528 Sum = 3921.298696358182636 Averaged sum = 0.3917772700927348023 logp*logq = 37.56947991553141984 -------------- ************************************* p = 313; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22494376206864394.04 -------------- Searches starting with [313,701]-exponents: u = 57, v = 7 n_start has 163 digits starting right neighbors generation We generated 1661 left neighbors We generated 8349 right neighbors We generated 10009 non-negative rho_i D1(313,701) = 0.7723550813579488799 D2(313,701) = 0.03690651240823033883 C1(313,701) = 1.095876122469372467 C2(313,701) = 1.704138331698137630 C3(313,701) = 6.794969046086199315 C4(313,701) = 5608 Sum = 4686.838118870230714 Averaged sum = 0.4682623757488491071 logp*logq = 37.65204172651767943 -------------- ************************************* p = 313; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24010018335475947.54 -------------- Searches starting with [313,709]-exponents: u = 289, v = 7 n_start has 742 digits --- performed 5000 steps in the continued fraction search [313,709]-exponents: u = 95, v = 159 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,709) = 0.7961604686551867527 D2(313,709) = 0.2863912743490041187 C1(313,709) = 1.041838735171800902 C2(313,709) = 1.467147434877093796 C3(313,709) = 6.182334776346556326 C4(313,709) = 5672 Sum = 5100.065621511005562 Averaged sum = 0.5100575679078913453 logp*logq = 37.71724756880352835 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,709) = 0.7961604686551867527 D2(313,709) = 0.2863912743490041187 C1(313,709) = 1.041838735171800902 C2(313,709) = 1.467147434877093796 C3(313,709) = 6.182334776346556326 C4(313,709) = 5672 Sum = 5100.065621511005562 Averaged sum = 0.5100575679078913453 logp*logq = 37.71724756880352835 -------------- ************************************* p = 313; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26022239186878944.81 -------------- Searches starting with [313,719]-exponents: u = 8, v = 76 n_start has 238 digits starting right neighbors generation We generated 3822 left neighbors We generated 6188 right neighbors We generated 10009 non-negative rho_i D1(313,719) = 0.9834623650971893532 D2(313,719) = 0.004845546106997562218 C1(313,719) = 1.368518276910263435 C2(313,719) = 1.699971528324199857 C3(313,719) = 10.94527679271566108 C4(313,719) = 5752 Sum = 4209.852218023949880 Averaged sum = 0.4206066757941802258 logp*logq = 37.79772792066746258 -------------- ************************************* p = 313; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27730529451150016.45 -------------- Searches starting with [313,727]-exponents: u = 8, v = 34 n_start has 118 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(313,727) = 0.8902845923889423535 D2(313,727) = 0.001185300542274391405 C1(313,727) = 1.239763502489106110 C2(313,727) = 1.563095140649492980 C3(313,727) = 8.738820567958475663 C4(313,727) = 5816 Sum = 4670.496174867418323 Averaged sum = 0.4666296508010209134 logp*logq = 37.86131034743760214 -------------- ************************************* p = 313; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29071644570076327.62 -------------- Searches starting with [313,733]-exponents: u = 8, v = 27 n_start has 98 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(313,733) = 0.9003604404426849496 D2(313,733) = 0.02019629755437705391 C1(313,733) = 1.358818682576361000 C2(313,733) = 1.640954224323994400 C3(313,733) = 10.76120888118997324 C4(313,733) = 5864 Sum = 3101.478382975580604 Averaged sum = 0.3098689562369448100 logp*logq = 37.90853968063933530 -------------- ************************************* p = 313; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30465886824979458.55 -------------- Searches starting with [313,739]-exponents: u = 8, v = 20 n_start has 78 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(313,739) = 0.6279730001513086542 D2(313,739) = 0.04198829048377225721 C1(313,739) = 0.8561522645904360919 C2(313,739) = 1.741975382158191128 C3(313,739) = 4.468335197747241207 C4(313,739) = 5912 Sum = 4171.184352979303407 Averaged sum = 0.4167433662682888807 logp*logq = 37.95538398782079778 -------------- ************************************* p = 313; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31425708781941390.80 -------------- Searches starting with [313,743]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(313,743) = 0.9221370763180118578 D2(313,743) = 0.06031774207872800922 C1(313,743) = 1.253391627188373733 C2(313,743) = 1.876913179117242881 C3(313,743) = 8.949561583700226746 C4(313,743) = 5944 Sum = 4347.324766099745459 Averaged sum = 0.4343415691976966189 logp*logq = 37.98640270384835910 -------------- ************************************* p = 313; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33420379785358265.65 -------------- Searches starting with [313,751]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(313,751) = 0.7157148293517015672 D2(313,751) = 0.09311493263784963336 C1(313,751) = 0.9582897142630222470 C2(313,751) = 1.911540710683428524 C3(313,751) = 5.342038102407074420 C4(313,751) = 6008 Sum = 3724.242140929863067 Averaged sum = 0.3720893336926629100 logp*logq = 38.04794228202767376 -------------- ************************************* p = 313; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34984037402485386.30 -------------- Searches starting with [313,757]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(313,757) = 1.004166226988809679 D2(313,757) = 0.07562243716139515808 C1(313,757) = 1.652569767407681375 C2(313,757) = 1.165196364343203797 C3(313,757) = 17.98581192491041761 C4(313,757) = 6056 Sum = 2783.682060376325248 Averaged sum = 0.2781178999276975969 logp*logq = 38.09366827815191851 -------------- ************************************* p = 313; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36059666674551305.43 -------------- Searches starting with [313,761]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(313,761) = 0.6449373722448488869 D2(313,761) = 0.1008243965002770748 C1(313,761) = 0.8839337302473762961 C2(313,761) = 1.426039250590730233 C3(313,761) = 4.690751881034316468 C4(313,761) = 6088 Sum = 3997.819924190312905 Averaged sum = 0.3994225121580890104 logp*logq = 38.12395136900894928 -------------- ************************************* p = 313; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38292977929210265.30 -------------- Searches starting with [313,769]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(313,769) = 0.6311584658080526686 D2(313,769) = 0.06754640855107223508 C1(313,769) = 0.9367886193002542813 C2(313,769) = 1.910762794608204859 C3(313,769) = 5.144929863726585982 C4(313,769) = 6152 Sum = 3849.395662746111713 Averaged sum = 0.3845934321856440916 logp*logq = 38.18404293040289139 -------------- ************************************* p = 313; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39451745494901589.55 -------------- Searches starting with [313,773]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(313,773) = 0.6474819586545761396 D2(313,773) = 0.04974453399681663188 C1(313,773) = 0.8917567949781681081 C2(313,773) = 1.893968092488240008 C3(313,773) = 4.755357236111073677 C4(313,773) = 6184 Sum = 4044.632992610873971 Averaged sum = 0.4040996096124362045 logp*logq = 38.21385468697537869 -------------- ************************************* p = 313; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43738032887893603.28 -------------- Searches starting with [313,787]-exponents: u = 29, v = 6 n_start has 90 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(313,787) = 0.6499448627931457896 D2(313,787) = 0.08899675768959257009 C1(313,787) = 0.9000853219188083195 C2(313,787) = 1.825670066621527307 C3(313,787) = 4.825115047485897569 C4(313,787) = 6296 Sum = 4070.387655320644329 Averaged sum = 0.4066727600480212138 logp*logq = 38.31699443630605981 -------------- ************************************* p = 313; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47029359452554820.66 -------------- Searches starting with [313,797]-exponents: u = 43, v = 6 n_start has 125 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(313,797) = 0.5975145845755798314 D2(313,797) = 0.01418265553734657331 C1(313,797) = 0.8645909290965671778 C2(313,797) = 1.753221191583119896 C3(313,797) = 4.534755812321905872 C4(313,797) = 6376 Sum = 4058.027419617687292 Averaged sum = 0.4054378478986599352 logp*logq = 38.38954847079944414 -------------- ************************************* p = 313; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51246365862594179.13 -------------- Searches starting with [313,809]-exponents: u = 134, v = 6 n_start has 352 digits --- performed 5000 steps in the continued fraction search [313,809]-exponents: u = 61, v = 22 --- starting right neighbors generation We generated 7632 left neighbors We generated 2378 right neighbors We generated 10009 non-negative rho_i D1(313,809) = 0.5616585294941892740 D2(313,809) = 0.01250585397916157752 C1(313,809) = 0.7601097930564496082 C2(313,809) = 1.537915967146649185 C3(313,809) = 3.777573461924977870 C4(313,809) = 6472 Sum = 4547.860156619676796 Averaged sum = 0.4543770762933037062 logp*logq = 38.47542110041680769 -------------- ************************************* p = 313; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51978640196407363.66 -------------- Searches starting with [313,811]-exponents: u = 197, v = 6 n_start has 510 digits --- performed 5000 steps in the continued fraction search [313,811]-exponents: u = 74, v = 84 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,811) = 0.7455608735757616239 D2(313,811) = 0.1335283737574122135 C1(313,811) = 0.9923131419604300752 C2(313,811) = 1.447207063608447053 C3(313,811) = 5.669486495505898147 C4(313,811) = 6488 Sum = 4811.824609217948637 Averaged sum = 0.4812305839801928830 logp*logq = 38.48960926365116939 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,811) = 0.7455608735757616239 D2(313,811) = 0.1335283737574122135 C1(313,811) = 0.9923131419604300752 C2(313,811) = 1.447207063608447053 C3(313,811) = 5.669486495505898147 C4(313,811) = 6488 Sum = 4811.824609217948637 Averaged sum = 0.4812305839801928830 logp*logq = 38.48960926365116939 -------------- ************************************* p = 313; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55770937859452039.51 -------------- Searches starting with [313,821]-exponents: u = 7, v = 143 n_start has 435 digits --- performed 5000 steps in the continued fraction search [313,821]-exponents: u = 89, v = 39 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,821) = 0.6542914651713422828 D2(313,821) = 0.05856252993092675879 C1(313,821) = 0.8778276766425433990 C2(313,821) = 1.471058754415013091 C3(313,821) = 4.640936652198413892 C4(313,821) = 6568 Sum = 4698.552396001159855 Averaged sum = 0.4699022298230982953 logp*logq = 38.56002930172897285 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,821) = 0.6542914651713422828 D2(313,821) = 0.05856252993092675879 C1(313,821) = 0.8778276766425433990 C2(313,821) = 1.471058754415013091 C3(313,821) = 4.640936652198413892 C4(313,821) = 6568 Sum = 4698.552396001159855 Averaged sum = 0.4699022298230982953 logp*logq = 38.56002930172897285 -------------- ************************************* p = 313; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56556149627387279.44 -------------- Searches starting with [313,823]-exponents: u = 7, v = 101 n_start has 312 digits --- performed 5000 steps in the continued fraction search [313,823]-exponents: u = 48, v = 6 --- starting right neighbors generation We generated 5863 left neighbors We generated 4147 right neighbors We generated 10009 non-negative rho_i D1(313,823) = 0.6860707654747561821 D2(313,823) = 0.01880594663902972467 C1(313,823) = 0.9345263912661853362 C2(313,823) = 1.557628475158495893 C3(313,823) = 5.124618804207868304 C4(313,823) = 6584 Sum = 4514.529327297043668 Averaged sum = 0.4510469904383098879 logp*logq = 38.57401033828688360 -------------- ************************************* p = 313; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58153983300670048.98 -------------- Searches starting with [313,827]-exponents: u = 7, v = 65 n_start has 208 digits starting right neighbors generation We generated 2561 left neighbors We generated 7449 right neighbors We generated 10009 non-negative rho_i D1(313,827) = 0.5701890298879368513 D2(313,827) = 0.02100919104574399700 C1(313,827) = 0.7958133572245202477 C2(313,827) = 1.648541268507198539 C3(313,827) = 4.020920868215043582 C4(313,827) = 6616 Sum = 4342.567931451484248 Averaged sum = 0.4338663134630316963 logp*logq = 38.60187077197075597 -------------- ************************************* p = 313; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58966772167701554.49 -------------- Searches starting with [313,829]-exponents: u = 7, v = 53 n_start has 173 digits starting right neighbors generation We generated 1813 left neighbors We generated 8197 right neighbors We generated 10009 non-negative rho_i D1(313,829) = 0.8862383197806742016 D2(313,829) = 0.004959619228508475241 C1(313,829) = 1.252224047615366772 C2(313,829) = 1.695325070635271472 C3(313,829) = 8.931309165569749588 C4(313,829) = 6632 Sum = 4978.378649644463949 Averaged sum = 0.4973902137720515485 logp*logq = 38.61575049657067540 -------------- ************************************* p = 313; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63172826356564509.70 -------------- Searches starting with [313,839]-exponents: u = 7, v = 29 n_start has 103 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(313,839) = 0.6212525110925442717 D2(313,839) = 0.01935525914997906954 C1(313,839) = 0.9137699107914970423 C2(313,839) = 1.796907812260001640 C3(313,839) = 4.941962998041901860 C4(313,839) = 6712 Sum = 3865.280287642550092 Averaged sum = 0.3861804663445449187 logp*logq = 38.68465064089043903 -------------- ************************************* p = 313; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69475018997646394.75 -------------- Searches starting with [313,853]-exponents: u = 7, v = 17 n_start has 68 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(313,853) = 0.5666499205880606654 D2(313,853) = 0.1060980281900535736 C1(313,853) = 0.7813376333683285491 C2(313,853) = 1.886320830588109002 C3(313,853) = 3.920423076730996990 C4(313,853) = 6824 Sum = 4194.123031902555707 Averaged sum = 0.4190351715358732847 logp*logq = 38.77974364398500723 -------------- ************************************* p = 313; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71368037856398160.61 -------------- Searches starting with [313,857]-exponents: u = 7, v = 17 n_start has 68 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(313,857) = 0.6334165032162411235 D2(313,857) = 0.1353403928459453875 C1(313,857) = 0.8672651637307603444 C2(313,857) = 1.916317938846082800 C3(313,857) = 4.556010004138029828 C4(313,857) = 6856 Sum = 4222.402148475621806 Averaged sum = 0.4218605403612370672 logp*logq = 38.80662651496141377 -------------- ************************************* p = 313; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72330402031948386.63 -------------- Searches starting with [313,859]-exponents: u = 7, v = 17 n_start has 68 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(313,859) = 0.7928170489570706688 D2(313,859) = 0.1510186496560897599 C1(313,859) = 1.103229119343420935 C2(313,859) = 1.932372224766277082 C3(313,859) = 6.882896018958498170 C4(313,859) = 6872 Sum = 4116.981395367376786 Averaged sum = 0.4113279443867895679 logp*logq = 38.82002093405793966 -------------- ************************************* p = 313; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74287304748537428.07 -------------- Searches starting with [313,863]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(313,863) = 1.225129720152875457 D2(313,863) = 0.007854473364836747884 C1(313,863) = 1.940209471828211153 C2(313,863) = 1.918856500555500801 C3(313,863) = 29.74117812612192571 C4(313,863) = 6904 Sum = 4135.351010944414732 Averaged sum = 0.4131632541656923501 logp*logq = 38.84671646727811796 -------------- ************************************* p = 313; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81484246360784704.96 -------------- Searches starting with [313,877]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(313,877) = 0.5665064536362439803 D2(313,877) = 0.04488329525864052734 C1(313,877) = 0.8252404027324044047 C2(313,877) = 1.958712458135871302 C3(313,877) = 4.233229996803538976 C4(313,877) = 7016 Sum = 4056.153824406850800 Averaged sum = 0.4052506568495205115 logp*logq = 38.93918610028669590 -------------- ************************************* p = 313; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83643069303063355.71 -------------- Searches starting with [313,881]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(313,881) = 0.6183252794252014554 D2(313,881) = 0.05600490842107623500 C1(313,881) = 0.8834769989974931267 C2(313,881) = 1.970633374935100638 C3(313,881) = 4.687007283153568716 C4(313,881) = 7048 Sum = 3518.719276216615025 Averaged sum = 0.3515555276467794010 logp*logq = 38.96533496539111152 -------------- ************************************* p = 313; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84740065255994322.04 -------------- Searches starting with [313,883]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(313,883) = 0.5761011534880910223 D2(313,883) = 0.06166860984046485824 C1(313,883) = 0.8028460395066230049 C2(313,883) = 1.976695341494983258 C3(313,883) = 4.070671076822342938 C4(313,883) = 7064 Sum = 4224.197197990198079 Averaged sum = 0.4220398839035066519 logp*logq = 38.97836491018189989 -------------- ************************************* p = 313; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86969727586636561.13 -------------- Searches starting with [313,887]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(313,887) = 0.7776501945099612552 D2(313,887) = 0.06010681515732359857 C1(313,887) = 1.307873447372090340 C2(313,887) = 1.318606278256397626 C3(313,887) = 9.844059245534281690 C4(313,887) = 7096 Sum = 4099.189455290000392 Averaged sum = 0.4095503502138076123 logp*logq = 39.00433649423927554 -------------- ************************************* p = 313; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98858138690837557.22 -------------- Searches starting with [313,907]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(313,907) = 1.029348761956693861 D2(313,907) = 0.02512229294316033759 C1(313,907) = 1.548681448259640333 C2(313,907) = 1.971869809826025538 C3(313,907) = 14.99820323448694657 C4(313,907) = 7256 Sum = 3784.978803847375058 Averaged sum = 0.3781575385999975080 logp*logq = 39.13246227488453417 -------------- ************************************* p = 313; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101389723857891386.7 -------------- Searches starting with [313,911]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(313,911) = 0.6087106263077233769 D2(313,911) = 0.01303157514191997258 C1(313,911) = 0.8794202710500795198 C2(313,911) = 1.960664717739658040 C3(313,911) = 4.653878344306517895 C4(313,911) = 7288 Sum = 3873.225346852963740 Averaged sum = 0.3869742578532284684 logp*logq = 39.15774813830791203 -------------- ************************************* p = 313; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106613707467249181.6 -------------- Searches starting with [313,919]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(313,919) = 1.116718688574435198 D2(313,919) = 0.1103121609460812297 C1(313,919) = 1.779887000484529402 C2(313,919) = 1.264070392697057612 C3(313,919) = 22.47047913059366891 C4(313,919) = 7352 Sum = 3844.091944021953405 Averaged sum = 0.3840635372186985118 logp*logq = 39.20798848624859919 -------------- ************************************* p = 313; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113454405727273298.3 -------------- Searches starting with [313,929]-exponents: u = 19, v = 5 n_start has 63 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(313,929) = 0.6367610660565847277 D2(313,929) = 0.1023377289291924272 C1(313,929) = 0.9309856875580302644 C2(313,929) = 1.931349035326987590 C3(313,929) = 5.092989992405513093 C4(313,929) = 7432 Sum = 3730.334464927774168 Averaged sum = 0.3726980182763287209 logp*logq = 39.27017743947042152 -------------- ************************************* p = 313; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119184428575658365.6 -------------- Searches starting with [313,937]-exponents: u = 25, v = 5 n_start has 78 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(313,937) = 0.6375416721963003893 D2(313,937) = 0.05462187771317240521 C1(313,937) = 0.9838634142924682900 C2(313,937) = 1.885294121220198257 C3(313,937) = 5.586337403813743366 C4(313,937) = 7496 Sum = 3889.194404758236501 Averaged sum = 0.3885697277208748627 logp*logq = 39.31944850825418930 -------------- ************************************* p = 313; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122137824880243179.2 -------------- Searches starting with [313,941]-exponents: u = 25, v = 5 n_start has 78 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(313,941) = 0.6852433646121431910 D2(313,941) = 0.03310092245425069040 C1(313,941) = 0.9829005782496987620 C2(313,941) = 1.864598267349457871 C3(313,941) = 5.576940400566132645 C4(313,941) = 7528 Sum = 4069.561356742287018 Averaged sum = 0.4065902044901875330 logp*logq = 39.34392651413252210 -------------- ************************************* p = 313; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126681076583236684.7 -------------- Searches starting with [313,947]-exponents: u = 31, v = 5 n_start has 93 digits starting right neighbors generation We generated 472 left neighbors We generated 9538 right neighbors We generated 10009 non-negative rho_i D1(313,947) = 0.8686834771450631303 D2(313,947) = 0.003088609288467463365 C1(313,947) = 1.180736166989360961 C2(313,947) = 1.835816983055067167 C3(313,947) = 7.881857637669798085 C4(313,947) = 7576 Sum = 4240.783749504518828 Averaged sum = 0.4236970476076050383 logp*logq = 39.38044911499178162 -------------- ************************************* p = 313; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131363021924237687.6 -------------- Searches starting with [313,953]-exponents: u = 37, v = 5 n_start has 108 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(313,953) = 0.6131739535336888241 D2(313,953) = 0.04892519366076189922 C1(313,953) = 0.8173062752184189828 C2(313,953) = 1.798919686531120504 C3(313,953) = 4.174907324577735428 C4(313,953) = 7624 Sum = 3830.117989150615219 Averaged sum = 0.3826673982566305544 logp*logq = 39.41674104525456189 -------------- ************************************* p = 313; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 142845686479756282.5 -------------- Searches starting with [313,967]-exponents: u = 61, v = 5 n_start has 168 digits starting right neighbors generation We generated 1397 left neighbors We generated 8613 right neighbors We generated 10009 non-negative rho_i D1(313,967) = 0.5555664379651958777 D2(313,967) = 0.03717133189580618509 C1(313,967) = 0.7557774238691086153 C2(313,967) = 1.677976100413699999 C3(313,967) = 3.749065257813664587 C4(313,967) = 7736 Sum = 4278.968963355372460 Averaged sum = 0.4275121354136649475 logp*logq = 39.50054132698004078 -------------- ************************************* p = 313; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 146274515989611695.5 -------------- Searches starting with [313,971]-exponents: u = 79, v = 5 n_start has 213 digits starting right neighbors generation We generated 2360 left neighbors We generated 7650 right neighbors We generated 10009 non-negative rho_i D1(313,971) = 0.6420153136236343476 D2(313,971) = 0.02772480146079024965 C1(313,971) = 0.8989331346188133765 C2(313,971) = 1.628993871842147978 C3(313,971) = 4.815403940044965936 C4(313,971) = 7768 Sum = 3823.581731810372710 Averaged sum = 0.3820143602568061454 logp*logq = 39.52426149767239522 -------------- ************************************* p = 313; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 151545024207928330.8 -------------- Searches starting with [313,977]-exponents: u = 121, v = 5 n_start has 317 digits starting right neighbors generation We generated 5347 left neighbors We generated 4663 right neighbors We generated 10009 non-negative rho_i D1(313,977) = 0.6671852047603948325 D2(313,977) = 0.01660337785335194845 C1(313,977) = 0.9080106678289692864 C2(313,977) = 1.530850212833138325 C3(313,977) = 4.892445875656159892 C4(313,977) = 7816 Sum = 4511.410604141886255 Averaged sum = 0.4507353985554886857 logp*logq = 39.55965916519933581 -------------- ************************************* p = 313; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156971414581858526.4 -------------- Searches starting with [313,983]-exponents: u = 283, v = 5 n_start has 722 digits --- performed 5000 steps in the continued fraction search [313,983]-exponents: u = 20, v = 206 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,983) = 0.6482948779744001045 D2(313,983) = 0.2067563539657807803 C1(313,983) = 0.8490883859026321897 C2(313,983) = 1.444181011524425055 C3(313,983) = 4.413484134115681780 C4(313,983) = 7864 Sum = 5022.985859699905842 Averaged sum = 0.5023488208520757917 logp*logq = 39.59484011095472639 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,983) = 0.6482948779744001045 D2(313,983) = 0.2067563539657807803 C1(313,983) = 0.8490883859026321897 C2(313,983) = 1.444181011524425055 C3(313,983) = 4.413484134115681780 C4(313,983) = 7864 Sum = 5022.985859699905842 Averaged sum = 0.5023488208520757917 logp*logq = 39.59484011095472639 -------------- ************************************* p = 313; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164455344752463855.7 -------------- Searches starting with [313,991]-exponents: u = 6, v = 349 n_start has 1061 digits --- performed 5000 steps in the continued fraction search [313,991]-exponents: u = 270, v = 117 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,991) = 0.6234360945117693174 D2(313,991) = 0.3060707817417183163 C1(313,991) = 0.8039803828389604507 C2(313,991) = 1.466494141167338440 C3(313,991) = 4.078753037032970101 C4(313,991) = 7928 Sum = 5270.491909055760918 Averaged sum = 0.5271019010956856603 logp*logq = 39.64141546779270435 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(313,991) = 0.6234360945117693174 D2(313,991) = 0.3060707817417183163 C1(313,991) = 0.8039803828389604507 C2(313,991) = 1.466494141167338440 C3(313,991) = 4.078753037032970101 C4(313,991) = 7928 Sum = 5270.491909055760918 Averaged sum = 0.5271019010956856603 logp*logq = 39.64141546779270435 -------------- ************************************* p = 313; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 170259630344266962.3 -------------- Searches starting with [313,997]-exponents: u = 6, v = 119 n_start has 372 digits --- performed 5000 steps in the continued fraction search [313,997]-exponents: u = 44, v = 45 --- starting right neighbors generation We generated 7344 left neighbors We generated 2666 right neighbors We generated 10009 non-negative rho_i D1(313,997) = 0.7897170085448710971 D2(313,997) = 0.01570933720506975672 C1(313,997) = 1.065669458527306662 C2(313,997) = 1.497775282532775573 C3(313,997) = 6.445388749092887444 C4(313,997) = 7976 Sum = 4596.439796757816272 Averaged sum = 0.4592306720709178012 logp*logq = 39.67610090423929493 -------------- ************************************* p = 317; q = 331; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 324669807280559.5254 -------------- Searches starting with [317,331]-exponents: u = 1, v = 133 n_start has 338 digits starting right neighbors generation We generated 2158 left neighbors We generated 7852 right neighbors We generated 10009 non-negative rho_i D1(317,331) = 0.6762082189838644100 D2(317,331) = 0.01053646465573985285 C1(317,331) = 0.9179214830997748984 C2(317,331) = 1.217715408540086787 C3(317,331) = 4.988065165036200146 C4(317,331) = 2648 Sum = 4606.890893952465545 Averaged sum = 0.4602748420374128829 logp*logq = 33.41382980420493305 -------------- ************************************* p = 317; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 360057879814922.1283 -------------- Searches starting with [317,337]-exponents: u = 1, v = 94 n_start has 241 digits starting right neighbors generation We generated 1169 left neighbors We generated 8841 right neighbors We generated 10009 non-negative rho_i D1(317,337) = 0.7677507789123604894 D2(317,337) = 0.003999171190964541081 C1(317,337) = 1.062914985823845616 C2(317,337) = 1.282207293865195547 C3(317,337) = 6.429488601536610168 C4(317,337) = 2696 Sum = 4196.809089174150093 Averaged sum = 0.4193035357352532814 logp*logq = 33.51728591171909738 -------------- ************************************* p = 317; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 426096452641032.7005 -------------- Searches starting with [317,347]-exponents: u = 1, v = 63 n_start has 163 digits starting right neighbors generation We generated 491 left neighbors We generated 9519 right neighbors We generated 10009 non-negative rho_i D1(317,347) = 0.6000467618628774837 D2(317,347) = 0.03189391223656163131 C1(317,347) = 0.8517076346143132388 C2(317,347) = 1.396715929978346230 C3(317,347) = 4.442087436220364713 C4(317,347) = 2776 Sum = 4580.249142499619415 Averaged sum = 0.4576130624937175956 logp*logq = 33.68568685122030148 -------------- ************************************* p = 317; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 440435038813422.2252 -------------- Searches starting with [317,349]-exponents: u = 1, v = 59 n_start has 153 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(317,349) = 0.7637244949107537880 D2(317,349) = 0.01107354220557624858 C1(317,349) = 1.088980937658157039 C2(317,349) = 1.393971129178892571 C3(317,349) = 6.729695405702285145 C4(317,349) = 2792 Sum = 4957.160448819145913 Averaged sum = 0.4952703016104651726 logp*logq = 33.71878407895061695 -------------- ************************************* p = 317; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 470310061982379.4742 -------------- Searches starting with [317,353]-exponents: u = 1, v = 53 n_start has 138 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(317,353) = 0.7448121067699165690 D2(317,353) = 0.03641211044278377404 C1(317,353) = 1.022766561539911083 C2(317,353) = 1.445147989315957374 C3(317,353) = 5.993078840726805120 C4(317,353) = 2824 Sum = 4602.381713463553947 Averaged sum = 0.4598243294498505292 logp*logq = 33.78441329946756640 -------------- ************************************* p = 317; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 518248378974906.4648 -------------- Searches starting with [317,359]-exponents: u = 1, v = 46 n_start has 121 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(317,359) = 0.5996962503040144783 D2(317,359) = 0.01317742005951265458 C1(317,359) = 0.8115511585471746789 C2(317,359) = 1.464728374968126501 C3(317,359) = 4.140516703221362412 C4(317,359) = 2872 Sum = 4019.645702937215769 Averaged sum = 0.4016031274789904855 logp*logq = 33.88147573935706867 -------------- ************************************* p = 317; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 588382770425056.8330 -------------- Searches starting with [317,367]-exponents: u = 1, v = 39 n_start has 103 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(317,367) = 0.7920460058739443836 D2(317,367) = 0.02336676727775810039 C1(317,367) = 1.081189576872587994 C2(317,367) = 1.521114033984377940 C3(317,367) = 6.638520905953296224 C4(317,367) = 2936 Sum = 4333.954360420893608 Averaged sum = 0.4330057308842934966 logp*logq = 34.00839882214868081 -------------- ************************************* p = 317; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 645979228416515.4413 -------------- Searches starting with [317,373]-exponents: u = 1, v = 35 n_start has 93 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(317,373) = 0.5658534824724822382 D2(317,373) = 0.05770054298881340491 C1(317,373) = 0.7967532690625340974 C2(317,373) = 1.583349447681739727 C3(317,373) = 4.034624473252026931 C4(317,373) = 2984 Sum = 4170.858375898378970 Averaged sum = 0.4167107978717533190 logp*logq = 34.10178846504019330 -------------- ************************************* p = 317; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 708157600133763.9793 -------------- Searches starting with [317,379]-exponents: u = 1, v = 32 n_start has 86 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(317,379) = 0.7220643946531591069 D2(317,379) = 0.04742147047165387252 C1(317,379) = 0.9805637143555664235 C2(317,379) = 1.604542467808768495 C3(317,379) = 5.566234413810457735 C4(317,379) = 3032 Sum = 4144.711813395904099 Averaged sum = 0.4140984926961638624 logp*logq = 34.19368778390976212 -------------- ************************************* p = 317; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 752294699148745.9886 -------------- Searches starting with [317,383]-exponents: u = 1, v = 30 n_start has 80 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(317,383) = 0.6679475586788810556 D2(317,383) = 0.01642557548847467338 C1(317,383) = 0.9501993132051506641 C2(317,383) = 1.596980428760030003 C3(317,383) = 5.278058910892042658 C4(317,383) = 3064 Sum = 4219.654324560402954 Averaged sum = 0.4215860050514939508 logp*logq = 34.25414925027655380 -------------- ************************************* p = 317; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 822745192578987.1297 -------------- Searches starting with [317,389]-exponents: u = 1, v = 28 n_start has 76 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(317,389) = 0.6963950137376804218 D2(317,389) = 0.02100713134576391174 C1(317,389) = 1.058487315111693431 C2(317,389) = 1.628149873502265754 C3(317,389) = 6.379841613587398301 C4(317,389) = 3112 Sum = 3650.341359063989413 Averaged sum = 0.3647059005958626649 logp*logq = 34.34366766062217914 -------------- ************************************* p = 317; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 925079931017118.5967 -------------- Searches starting with [317,397]-exponents: u = 1, v = 25 n_start has 68 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(317,397) = 0.6940803898517193359 D2(317,397) = 0.04745614346489411935 C1(317,397) = 0.9425614255100895119 C2(317,397) = 1.684832244156544374 C3(317,397) = 5.207950458221677154 C4(317,397) = 3176 Sum = 4170.870726642366854 Averaged sum = 0.4167120318355846592 logp*logq = 34.46090126161807782 -------------- ************************************* p = 317; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 980060182348979.8361 -------------- Searches starting with [317,401]-exponents: u = 1, v = 24 n_start has 65 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(317,401) = 1.589488440154816888 D2(317,401) = 0.04580025507013464602 C1(317,401) = 2.297249172165135552 C2(317,401) = 1.699577808298266167 C3(317,401) = 55.80712889583587630 C4(317,401) = 3208 Sum = 6292.058091611631054 Averaged sum = 0.6286400331313448950 logp*logq = 34.51863509626779806 -------------- ************************************* p = 317; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1098140708634181.860 -------------- Searches starting with [317,409]-exponents: u = 1, v = 22 n_start has 60 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(317,409) = 1.138373452402340728 D2(317,409) = 0.01294142809572841447 C1(317,409) = 1.556134045252683569 C2(317,409) = 1.702615099337233122 C3(317,409) = 15.24721232633753722 C4(317,409) = 3272 Sum = 4515.220444337689907 Averaged sum = 0.4511160399977709968 logp*logq = 34.63239487972757836 -------------- ************************************* p = 317; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1262039617517585.139 -------------- Searches starting with [317,419]-exponents: u = 1, v = 20 n_start has 55 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(317,419) = 0.6639035820593790831 D2(317,419) = 0.1142508689734097091 C1(317,419) = 0.9423461393780177418 C2(317,419) = 1.825864751495607967 C3(317,419) = 5.205987891655940090 C4(317,419) = 3352 Sum = 4387.339847934167454 Averaged sum = 0.4383394792620808726 logp*logq = 34.77150555118164711 -------------- ************************************* p = 317; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1297127948275827.703 -------------- Searches starting with [317,421]-exponents: u = 1, v = 20 n_start has 55 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(317,421) = 0.5857998266884671706 D2(317,421) = 0.01804090541870865214 C1(317,421) = 0.8324014134442116785 C2(317,421) = 1.750117662108558202 C3(317,421) = 4.294452632981352143 C4(317,421) = 3368 Sum = 4016.124262243939418 Averaged sum = 0.4012513000543450312 logp*logq = 34.79892894478256511 -------------- ************************************* p = 317; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1484895271787807.261 -------------- Searches starting with [317,431]-exponents: u = 1, v = 18 n_start has 50 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(317,431) = 0.8697306762546349845 D2(317,431) = 0.07392878098237325985 C1(317,431) = 1.218213652366441441 C2(317,431) = 1.830976153667074438 C3(317,431) = 8.438323438788331911 C4(317,431) = 3448 Sum = 4818.583878198542618 Averaged sum = 0.4814251052251516253 logp*logq = 34.93412064062979592 -------------- ************************************* p = 317; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1525017485090234.581 -------------- Searches starting with [317,433]-exponents: u = 1, v = 18 n_start has 50 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(317,433) = 0.7195055562326332025 D2(317,433) = 0.1173257455924301793 C1(317,433) = 1.063343647759407935 C2(317,433) = 1.875082497792531571 C3(317,433) = 6.434315605608557624 C4(317,433) = 3464 Sum = 3756.574646531180048 Averaged sum = 0.3753196769438685231 logp*logq = 34.96078227053727105 -------------- ************************************* p = 317; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1650796779798974.783 -------------- Searches starting with [317,439]-exponents: u = 1, v = 17 n_start has 48 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(317,439) = 0.6752848780228029367 D2(317,439) = 0.06810913860621662217 C1(317,439) = 0.9689911595160640144 C2(317,439) = 1.851277954537137283 C3(317,439) = 5.454593862970802297 C4(317,439) = 3512 Sum = 3930.595118373964369 Averaged sum = 0.3927060763686646387 logp*logq = 35.04003446311387705 -------------- ************************************* p = 317; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1739318488188063.126 -------------- Searches starting with [317,443]-exponents: u = 1, v = 17 n_start has 48 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(317,443) = 0.6917696008084594031 D2(317,443) = 0.1478890654634480888 C1(317,443) = 0.9602594749752111770 C2(317,443) = 1.457961662253085626 C3(317,443) = 5.371843767860344117 C4(317,443) = 3544 Sum = 4446.590123422070425 Averaged sum = 0.4442591790810341117 logp*logq = 35.09226975795790455 -------------- ************************************* p = 317; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1879430013224931.817 -------------- Searches starting with [317,449]-exponents: u = 1, v = 16 n_start has 45 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(317,449) = 0.6592750856209753100 D2(317,449) = 0.07549897467339111925 C1(317,449) = 0.9839329630367602805 C2(317,449) = 1.887670146857219526 C3(317,449) = 5.599164996451640990 C4(317,449) = 3592 Sum = 3753.476834619499327 Averaged sum = 0.3750101743050753649 logp*logq = 35.16974494132802101 -------------- ************************************* p = 317; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2080636068953436.171 -------------- Searches starting with [317,457]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(317,457) = 0.7971933926363505687 D2(317,457) = 0.02552029265581343489 C1(317,457) = 1.129128185810458688 C2(317,457) = 1.868570500741104155 C3(317,457) = 7.219729951538006500 C4(317,457) = 3656 Sum = 4688.881979684799467 Averaged sum = 0.4684665780482365338 logp*logq = 35.27145004425735351 -------------- ************************************* p = 317; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2187721245200082.567 -------------- Searches starting with [317,461]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(317,461) = 0.7248516967619015907 D2(317,461) = 0.08819003294344315329 C1(317,461) = 0.9851559509102955087 C2(317,461) = 1.932608835944171662 C3(317,461) = 5.611166448152919847 C4(317,461) = 3688 Sum = 4301.129108498871991 Averaged sum = 0.4297261573083097203 logp*logq = 35.32163686970884059 -------------- ************************************* p = 317; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2242947444665219.408 -------------- Searches starting with [317,463]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(317,463) = 0.9070732210318294150 D2(317,463) = 0.1235868195720551273 C1(317,463) = 1.268451498593473384 C2(317,463) = 1.968685459509137156 C3(317,463) = 9.214122784748117094 C4(317,463) = 3704 Sum = 4952.433429465560246 Averaged sum = 0.4947980247243041508 logp*logq = 35.34656721935178926 -------------- ************************************* p = 317; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2356859635304016.368 -------------- Searches starting with [317,467]-exponents: u = 1, v = 14 n_start has 40 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(317,467) = 0.6456236366590850531 D2(317,467) = 0.1401148331695093618 C1(317,467) = 1.053301667601422699 C2(317,467) = 1.390518049804196281 C3(317,467) = 6.322182721426755091 C4(317,467) = 3736 Sum = 4126.166019007814994 Averaged sum = 0.4122455808779913073 logp*logq = 35.39610646482324208 -------------- ************************************* p = 317; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2727651884066413.053 -------------- Searches starting with [317,479]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(317,479) = 0.8719561632311465903 D2(317,479) = 0.09775189046628482217 C1(317,479) = 1.435673355459372020 C2(317,479) = 1.198856084397153136 C3(317,479) = 12.34807921490227395 C4(317,479) = 3832 Sum = 3806.758745453720301 Averaged sum = 0.3803335743284764013 logp*logq = 35.54221751826919225 -------------- ************************************* p = 317; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3000649726535268.932 -------------- Searches starting with [317,487]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(317,487) = 0.5955746564548655309 D2(317,487) = 0.04211261553242121865 C1(317,487) = 0.8393899095936327314 C2(317,487) = 1.961459818442805506 C3(317,487) = 4.347318384546191491 C4(317,487) = 3896 Sum = 4051.872084911443967 Averaged sum = 0.4048228679100253739 logp*logq = 35.63760523564146072 -------------- ************************************* p = 317; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3145386211547005.367 -------------- Searches starting with [317,491]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(317,491) = 0.7073646224845809291 D2(317,491) = 0.09484417623039302765 C1(317,491) = 0.9861207688222224928 C2(317,491) = 1.403378262955685692 C3(317,491) = 5.620652569915077887 C4(317,491) = 3928 Sum = 3974.842693558924206 Averaged sum = 0.3971268551862248182 logp*logq = 35.68471307928732345 -------------- ************************************* p = 317; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3452200556988661.757 -------------- Searches starting with [317,499]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(317,499) = 0.7788233577744206825 D2(317,499) = 0.1117777158343151874 C1(317,499) = 1.041961259973029152 C2(317,499) = 1.782122554974447950 C3(317,499) = 6.197898813539541742 C4(317,499) = 3992 Sum = 3978.424743006822372 Averaged sum = 0.3974847380364494327 logp*logq = 35.77778826522422750 -------------- ************************************* p = 317; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3614636763636097.728 -------------- Searches starting with [317,503]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(317,503) = 0.7333047199807561768 D2(317,503) = 0.006105874585307603184 C1(317,503) = 1.122835797658275549 C2(317,503) = 1.970257080154468622 C3(317,503) = 7.140631165671464777 C4(317,503) = 4024 Sum = 3621.913703877273769 Averaged sum = 0.3618656912655883474 logp*logq = 35.82376776515096287 -------------- ************************************* p = 317; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3870096891145773.585 -------------- Searches starting with [317,509]-exponents: u = 1, v = 12 n_start has 35 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(317,509) = 0.6799503880242777781 D2(317,509) = 0.07344886384716141067 C1(317,509) = 0.9523923534468066578 C2(317,509) = 2.039520111982900816 C3(317,509) = 5.298362750219339563 C4(317,509) = 4072 Sum = 3883.532518750567838 Averaged sum = 0.3880040482316483004 logp*logq = 35.89205593811074459 -------------- ************************************* p = 317; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4425899866630630.129 -------------- Searches starting with [317,521]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(317,521) = 0.6403988216038204472 D2(317,521) = 0.09031940336302137397 C1(317,521) = 0.9110094236572850102 C2(317,521) = 1.798260985421364416 C3(317,521) = 4.928067021088245255 C4(317,521) = 4168 Sum = 3992.250666627131997 Averaged sum = 0.3988660871842473770 logp*logq = 36.02625001238633701 -------------- ************************************* p = 317; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4524641747625394.526 -------------- Searches starting with [317,523]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(317,523) = 1.233826260259761031 D2(317,523) = 0.08831502664893690008 C1(317,523) = 1.904907595130902946 C2(317,523) = 1.796939828251154166 C3(317,523) = 28.07868820581720309 C4(317,523) = 4184 Sum = 4317.557041458757288 Averaged sum = 0.4313674734197979107 logp*logq = 36.04831479713282975 -------------- ************************************* p = 317; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5498124608352028.372 -------------- Searches starting with [317,541]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(317,541) = 0.6242074681230462395 D2(317,541) = 0.07253538504813294805 C1(317,541) = 0.8585472333637253538 C2(317,541) = 1.821473257214873237 C3(317,541) = 4.495598535168594600 C4(317,541) = 4328 Sum = 4145.315930500168814 Averaged sum = 0.4141588500849404350 logp*logq = 36.24318344870247856 -------------- ************************************* p = 317; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5858683951291225.148 -------------- Searches starting with [317,547]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(317,547) = 0.9005807236871125587 D2(317,547) = 0.06700238624656128722 C1(317,547) = 1.240063474366864992 C2(317,547) = 1.817941676500813058 C3(317,547) = 8.767372406876881796 C4(317,547) = 4376 Sum = 4552.605456660708860 Averaged sum = 0.4548511796044269017 logp*logq = 36.30670139158644498 -------------- ************************************* p = 317; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6502949093898279.543 -------------- Searches starting with [317,557]-exponents: u = 1, v = 10 n_start has 30 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(317,557) = 0.5657180375145587432 D2(317,557) = 0.003584362118046542382 C1(317,557) = 0.7803232760764988371 C2(317,557) = 2.082594500435890539 C3(317,557) = 3.920222735723678766 C4(317,557) = 4456 Sum = 4267.569987751960583 Averaged sum = 0.4263732628386412811 logp*logq = 36.41103217567207026 -------------- ************************************* p = 317; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6916839115393373.976 -------------- Searches starting with [317,563]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(317,563) = 1.039371203177110376 D2(317,563) = 0.03257755343323651053 C1(317,563) = 1.340748271710229842 C2(317,563) = 1.113405791202410234 C3(317,563) = 10.45740914151673003 C4(317,563) = 4504 Sum = 3412.537080012291102 Averaged sum = 0.3409468558309812271 logp*logq = 36.47273528495450707 -------------- ************************************* p = 317; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7352261040271926.971 -------------- Searches starting with [317,569]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(317,569) = 0.6650766485716919563 D2(317,569) = 0.04897742109046803685 C1(317,569) = 0.9003640407455495365 C2(317,569) = 1.846806147128490161 C3(317,569) = 4.837071406116359625 C4(317,569) = 4552 Sum = 3976.814169607807184 Averaged sum = 0.3973238255178146852 logp*logq = 36.53378428535550017 -------------- ************************************* p = 317; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7502337090491350.692 -------------- Searches starting with [317,571]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(317,571) = 0.9299226240530252740 D2(317,571) = 0.04728756727634708991 C1(317,571) = 1.254413143410500382 C2(317,571) = 1.845765745460795842 C3(317,571) = 8.990421987250533093 C4(317,571) = 4568 Sum = 4079.045427575185728 Averaged sum = 0.4075377587746214135 logp*logq = 36.55399097897750746 -------------- ************************************* p = 317; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7967834199058907.068 -------------- Searches starting with [317,577]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(317,577) = 0.9430780732018819943 D2(317,577) = 0.04229774305537839392 C1(317,577) = 1.278171619631943348 C2(317,577) = 1.842710443054992865 C3(317,577) = 9.372265628715750070 C4(317,577) = 4616 Sum = 4105.730164428299280 Averaged sum = 0.4102038329931361055 logp*logq = 36.61418910662544485 -------------- ************************************* p = 317; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8796600574584200.325 -------------- Searches starting with [317,587]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(317,587) = 0.7070710333364956418 D2(317,587) = 0.03138625133961053847 C1(317,587) = 1.067571315196009401 C2(317,587) = 1.684890191164068975 C3(317,587) = 6.482116358656804657 C4(317,587) = 4696 Sum = 3614.184991305152032 Averaged sum = 0.3610935149670448628 logp*logq = 36.71314174341971588 -------------- ************************************* p = 317; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9327163562353752.703 -------------- Searches starting with [317,593]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(317,593) = 0.7382981247161991530 D2(317,593) = 0.02377257762829054751 C1(317,593) = 1.067044410621925638 C2(317,593) = 1.476659910051582464 C3(317,593) = 6.476139515863962149 C4(317,593) = 4744 Sum = 3487.536555165356028 Averaged sum = 0.3484400594630188858 logp*logq = 36.77170735093927780 -------------- ************************************* p = 317; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9883897985383033.248 -------------- Searches starting with [317,599]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(317,599) = 0.8479908012505857724 D2(317,599) = 0.01293406206597344885 C1(317,599) = 1.492905884625052648 C2(317,599) = 2.166607644389729808 C3(317,599) = 13.64946311565198945 C4(317,599) = 4792 Sum = 4122.550523602140349 Averaged sum = 0.4118843564394185582 logp*logq = 36.82968336179631374 -------------- ************************************* p = 317; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10075465637700979.15 -------------- Searches starting with [317,601]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(317,601) = 1.578491197966916424 D2(317,601) = 0.01268294433170125703 C1(317,601) = 2.778695731367362038 C2(317,601) = 0.9908406367563902368 C3(317,601) = 129.6440526249063772 C4(317,601) = 4808 Sum = 974.3373592832751106 Averaged sum = 0.09734612441635279355 logp*logq = 36.84887971881698915 -------------- ************************************* p = 317; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10668670201301019.44 -------------- Searches starting with [317,607]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(317,607) = 0.6037336833711453927 D2(317,607) = 0.01947297237739971074 C1(317,607) = 0.8152485744030226950 C2(317,607) = 1.876184182892636078 C3(317,607) = 4.167406194370283233 C4(317,607) = 4856 Sum = 3918.808762827011374 Averaged sum = 0.3915285006321322184 logp*logq = 36.90608782277616917 -------------- ************************************* p = 317; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11290445307635596.96 -------------- Searches starting with [317,613]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(317,613) = 0.7556203709175219760 D2(317,613) = 0.01499103725721858263 C1(317,613) = 1.021070684510989809 C2(317,613) = 1.873564460814351596 C3(317,613) = 5.975311471559683856 C4(317,613) = 4904 Sum = 4149.367613488406702 Averaged sum = 0.4145636540601865024 logp*logq = 36.96273321495478638 -------------- ************************************* p = 317; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11721364752015869.57 -------------- Searches starting with [317,617]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(317,617) = 0.8005016840919911396 D2(317,617) = 0.01205401956556381887 C1(317,617) = 1.075308285667351274 C2(317,617) = 1.871858614287108184 C3(317,617) = 6.570517075001825665 C4(317,617) = 4936 Sum = 3984.194033278921412 Averaged sum = 0.3980611482944271567 logp*logq = 37.00018961869793031 -------------- ************************************* p = 317; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11941867020572351.07 -------------- Searches starting with [317,619]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(317,619) = 0.7055857995681124875 D2(317,619) = 0.01060038449579010811 C1(317,619) = 1.024691866944408205 C2(317,619) = 1.871017514052940580 C3(317,619) = 6.013313929260395129 C4(317,619) = 4952 Sum = 4066.938544943490044 Averaged sum = 0.4063281591511130027 logp*logq = 37.01882685753322111 -------------- ************************************* p = 317; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13338102294811901.42 -------------- Searches starting with [317,631]-exponents: u = 19, v = 8 n_start has 70 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(317,631) = 0.6592458516178064604 D2(317,631) = 0.001901433479692034198 C1(317,631) = 0.9082741664828195000 C2(317,631) = 1.706960273793875332 C3(317,631) = 4.904524191264429433 C4(317,631) = 5048 Sum = 4257.150685358275281 Averaged sum = 0.4253322694932835729 logp*logq = 37.12940116851798319 -------------- ************************************* p = 317; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14602246827533178.18 -------------- Searches starting with [317,641]-exponents: u = 46, v = 8 n_start has 138 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(317,641) = 0.5868624088774231372 D2(317,641) = 0.04891513963007382617 C1(317,641) = 0.8094887684920095156 C2(317,641) = 1.756287732831660290 C3(317,641) = 4.125593403429533198 C4(317,641) = 5128 Sum = 4272.843145868295388 Averaged sum = 0.4269001044927860313 logp*logq = 37.21995180408156426 -------------- ************************************* p = 317; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14866582778624368.56 -------------- Searches starting with [317,643]-exponents: u = 64, v = 8 n_start has 183 digits starting right neighbors generation We generated 2297 left neighbors We generated 7713 right neighbors We generated 10009 non-negative rho_i D1(317,643) = 1.274456920368705064 D2(317,643) = 0.03637380787638110849 C1(317,643) = 1.810959466966248440 C2(317,643) = 1.744319055713483313 C3(317,643) = 23.82014086708417343 C4(317,643) = 5144 Sum = 4255.767004625614086 Averaged sum = 0.4251940258393060331 logp*logq = 37.23789232255924578 -------------- ************************************* p = 317; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15407126492589466.85 -------------- Searches starting with [317,647]-exponents: u = 118, v = 8 n_start has 318 digits --- performed 5000 steps in the continued fraction search [317,647]-exponents: u = 2, v = 53 --- starting right neighbors generation We generated 7151 left neighbors We generated 2859 right neighbors We generated 10009 non-negative rho_i D1(317,647) = 0.7914825328727735445 D2(317,647) = 0.01260891411750181961 C1(317,647) = 1.077534163518186240 C2(317,647) = 1.721694068956964831 C3(317,647) = 6.596171997198331633 C4(317,647) = 5176 Sum = 4512.050878138397231 Averaged sum = 0.4507993683822956570 logp*logq = 37.27360655654928035 -------------- ************************************* p = 317; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16248321845581156.22 -------------- Searches starting with [317,653]-exponents: u = 9, v = 255 n_start has 741 digits --- performed 5000 steps in the continued fraction search [317,653]-exponents: u = 98, v = 158 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,653) = 0.8009504263953642194 D2(317,653) = 0.2880157748083224540 C1(317,653) = 1.048722525017550703 C2(317,653) = 1.460251029272830630 C3(317,653) = 6.271700918089207276 C4(317,653) = 5224 Sum = 5111.687431651072058 Averaged sum = 0.5112198651516223680 logp*logq = 37.32676602731245101 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,653) = 0.8009504263953642194 D2(317,653) = 0.2880157748083224540 C1(317,653) = 1.048722525017550703 C2(317,653) = 1.460251029272830630 C3(317,653) = 6.271700918089207276 C4(317,653) = 5224 Sum = 5111.687431651072058 Averaged sum = 0.5112198651516223680 logp*logq = 37.32676602731245101 -------------- ************************************* p = 317; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17127115025876330.42 -------------- Searches starting with [317,659]-exponents: u = 9, v = 55 n_start has 178 digits starting right neighbors generation We generated 1246 left neighbors We generated 8764 right neighbors We generated 10009 non-negative rho_i D1(317,659) = 0.5616918258392771239 D2(317,659) = 0.01963366094075924921 C1(317,659) = 0.7923871139442500470 C2(317,659) = 1.452377194372929534 C3(317,659) = 4.003901248653096219 C4(317,659) = 5272 Sum = 4301.662679773517464 Averaged sum = 0.4297794664575399604 logp*logq = 37.37943927659350143 -------------- ************************************* p = 317; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17428627493860077.77 -------------- Searches starting with [317,661]-exponents: u = 9, v = 47 n_start has 156 digits starting right neighbors generation We generated 1021 left neighbors We generated 8989 right neighbors We generated 10009 non-negative rho_i D1(317,661) = 0.7285570383314858533 D2(317,661) = 0.02791385237502208949 C1(317,661) = 1.049826883813309324 C2(317,661) = 1.495543351685612005 C3(317,661) = 6.283838684773309228 C4(317,661) = 5288 Sum = 3495.478288392908211 Averaged sum = 0.3492335186724855841 logp*logq = 37.39689050744427856 -------------- ************************************* p = 317; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19331295961381094.90 -------------- Searches starting with [317,673]-exponents: u = 9, v = 15 n_start has 65 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(317,673) = 0.7175883948726156128 D2(317,673) = 0.09365814594064241993 C1(317,673) = 0.9613773513981826245 C2(317,673) = 1.839231367045135632 C3(317,673) = 5.382367397645361001 C4(317,673) = 5384 Sum = 4044.991941285532377 Averaged sum = 0.4041354722035700246 logp*logq = 37.50050172992812036 -------------- ************************************* p = 317; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20002399877150095.93 -------------- Searches starting with [317,677]-exponents: u = 9, v = 15 n_start has 65 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(317,677) = 0.5863006705684298132 D2(317,677) = 0.1161968608747507536 C1(317,677) = 0.8592093132172170974 C2(317,677) = 1.862759661065858708 C3(317,677) = 4.500812558381511883 C4(317,677) = 5416 Sum = 3919.384315265855229 Averaged sum = 0.3915860041228749354 logp*logq = 37.53462865512349399 -------------- ************************************* p = 317; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21045072118180916.60 -------------- Searches starting with [317,683]-exponents: u = 9, v = 15 n_start has 66 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(317,683) = 1.209219134760187574 D2(317,683) = 0.09737148826996381087 C1(317,683) = 1.956450665536527413 C2(317,683) = 1.191678349268589382 C3(317,683) = 30.73031808122017477 C4(317,683) = 5464 Sum = 3492.994923473825883 Averaged sum = 0.3489854054824483847 logp*logq = 37.58544282398317633 -------------- ************************************* p = 317; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22504800320721571.85 -------------- Searches starting with [317,691]-exponents: u = 17, v = 7 n_start has 63 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(317,691) = 0.5958152026695333493 D2(317,691) = 0.1019982178692018099 C1(317,691) = 0.8748986052682488087 C2(317,691) = 1.868610134898807270 C3(317,691) = 4.626154339475236455 C4(317,691) = 5528 Sum = 3946.005021688184689 Averaged sum = 0.3942456810558681875 logp*logq = 37.65250502895332503 -------------- ************************************* p = 317; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24446153905719554.82 -------------- Searches starting with [317,701]-exponents: u = 25, v = 7 n_start has 83 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(317,701) = 0.7339766222995532517 D2(317,701) = 0.04474343388378275602 C1(317,701) = 1.101499891175658346 C2(317,701) = 1.814062876130709246 C3(317,701) = 6.878821895499034419 C4(317,701) = 5608 Sum = 3851.889631642467810 Averaged sum = 0.3848426048199088630 logp*logq = 37.73524929398837273 -------------- ************************************* p = 317; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26097064593178592.21 -------------- Searches starting with [317,709]-exponents: u = 49, v = 7 n_start has 143 digits starting right neighbors generation We generated 1366 left neighbors We generated 8644 right neighbors We generated 10009 non-negative rho_i D1(317,709) = 0.8248918894905531743 D2(317,709) = 0.005122567547746566717 C1(317,709) = 1.134573081652743855 C2(317,709) = 1.776579960608395117 C3(317,709) = 7.288882071502971616 C4(317,709) = 5672 Sum = 4362.305467402665704 Averaged sum = 0.4358382922772170750 logp*logq = 37.80059923522006080 -------------- ************************************* p = 317; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28289226592366669.99 -------------- Searches starting with [317,719]-exponents: u = 249, v = 7 n_start has 643 digits --- performed 5000 steps in the continued fraction search [317,719]-exponents: u = 48, v = 162 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,719) = 0.6776511730397191361 D2(317,719) = 0.2419012703557966185 C1(317,719) = 0.8926771351532487410 C2(317,719) = 1.457694725675152927 C3(317,719) = 4.772411014159657146 C4(317,719) = 5752 Sum = 4995.483580138705251 Averaged sum = 0.4995983178456550906 logp*logq = 37.88125744129855327 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,719) = 0.6776511730397191361 D2(317,719) = 0.2419012703557966185 C1(317,719) = 0.8926771351532487410 C2(317,719) = 1.457694725675152927 C3(317,719) = 4.772411014159657146 C4(317,719) = 5752 Sum = 4995.483580138705251 Averaged sum = 0.4995983178456550906 logp*logq = 37.88125744129855327 -------------- ************************************* p = 317; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30150574704603545.88 -------------- Searches starting with [317,727]-exponents: u = 8, v = 111 n_start has 338 digits --- performed 5000 steps in the continued fraction search [317,727]-exponents: u = 61, v = 14 --- starting right neighbors generation We generated 7701 left neighbors We generated 2309 right neighbors We generated 10009 non-negative rho_i D1(317,727) = 0.7023887670103660366 D2(317,727) = 0.006379987201510383508 C1(317,727) = 0.9562411102047483776 C2(317,727) = 1.625179374659092722 C3(317,727) = 5.334184722655768742 C4(317,727) = 5816 Sum = 4477.937584783811988 Averaged sum = 0.4473911064825469065 logp*logq = 37.94498037941476681 -------------- ************************************* p = 317; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31612028288595698.53 -------------- Searches starting with [317,733]-exponents: u = 8, v = 48 n_start has 158 digits starting right neighbors generation We generated 1582 left neighbors We generated 8428 right neighbors We generated 10009 non-negative rho_i D1(317,733) = 0.5801927385965226112 D2(317,733) = 0.02949197090402238300 C1(317,733) = 0.8253623126214175887 C2(317,733) = 1.727478868755086574 C3(317,733) = 4.241853929844621177 C4(317,733) = 5864 Sum = 4229.200465174772498 Averaged sum = 0.4225397607328177138 logp*logq = 37.99231408512191476 -------------- ************************************* p = 317; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33131534044430521.57 -------------- Searches starting with [317,739]-exponents: u = 8, v = 34 n_start has 118 digits starting right neighbors generation We generated 635 left neighbors We generated 9375 right neighbors We generated 10009 non-negative rho_i D1(317,739) = 0.7505528002264192941 D2(317,739) = 0.004575879463544091911 C1(317,739) = 1.109235210436083317 C2(317,739) = 1.568789682414089865 C3(317,739) = 6.972612579076716723 C4(317,739) = 5912 Sum = 3119.668246063523241 Averaged sum = 0.3116863069301152204 logp*logq = 38.03926191393651286 -------------- ************************************* p = 317; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34177679458113604.83 -------------- Searches starting with [317,743]-exponents: u = 8, v = 27 n_start has 98 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(317,743) = 0.6314629482477824941 D2(317,743) = 0.01720527722590432725 C1(317,743) = 0.9534206873487851228 C2(317,743) = 1.639842939278496091 C3(317,743) = 5.307910261541463190 C4(317,743) = 5944 Sum = 3834.039309234899086 Averaged sum = 0.3830591776635926752 logp*logq = 38.07034917848862602 -------------- ************************************* p = 317; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36351968573569830.99 -------------- Searches starting with [317,751]-exponents: u = 8, v = 20 n_start has 78 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(317,751) = 0.7393425883317955919 D2(317,751) = 0.04538393888539784110 C1(317,751) = 1.152191275105898968 C2(317,751) = 1.747752006424459402 C3(317,751) = 7.517210905771621906 C4(317,751) = 6008 Sum = 3606.125438675637150 Averaged sum = 0.3602882844115932811 logp*logq = 38.13202475350552697 -------------- ************************************* p = 317; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38056633480010890.14 -------------- Searches starting with [317,757]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(317,757) = 0.8047810068433939313 D2(317,757) = 0.07173686719046060523 C1(317,757) = 1.111404350372195593 C2(317,757) = 1.891240344991914243 C3(317,757) = 6.999142218489561455 C4(317,757) = 6056 Sum = 4408.814497903003945 Averaged sum = 0.4404850132783498796 logp*logq = 38.17785179989778397 -------------- ************************************* p = 317; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39229358927522026.56 -------------- Searches starting with [317,761]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(317,761) = 0.6184126126367453533 D2(317,761) = 0.08801618350841810221 C1(317,761) = 0.8911153581145203263 C2(317,761) = 1.908420115861829105 C3(317,761) = 4.759379748248062012 C4(317,761) = 6088 Sum = 4032.070257441828883 Averaged sum = 0.4028444657250303610 logp*logq = 38.20820181361504128 -------------- ************************************* p = 317; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41664513735501384.46 -------------- Searches starting with [317,769]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(317,769) = 1.329867112393787022 D2(317,769) = 0.07312245837164678704 C1(317,769) = 2.189622437543721193 C2(317,769) = 1.158139043650098678 C3(317,769) = 46.22285897888672391 C4(317,769) = 6152 Sum = 3232.311753693786482 Averaged sum = 0.3229405288933746110 logp*logq = 38.26842617186195151 -------------- ************************************* p = 317; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42928133982578027.02 -------------- Searches starting with [317,773]-exponents: u = 15, v = 6 n_start has 55 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(317,773) = 0.7277553351022324913 D2(317,773) = 0.1018877593982414825 C1(317,773) = 1.006268081475913823 C2(317,773) = 1.945502799484648128 C3(317,773) = 5.822446974925727636 C4(317,773) = 6184 Sum = 4432.715565786757568 Averaged sum = 0.4428729709048613816 logp*logq = 38.29830380968901837 -------------- ************************************* p = 317; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47602967109072524.71 -------------- Searches starting with [317,787]-exponents: u = 22, v = 6 n_start has 73 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(317,787) = 1.570757134883217067 D2(317,787) = 0.03838270929783036572 C1(317,787) = 2.460423988972136661 C2(317,787) = 1.885481104326859002 C3(317,787) = 74.26051667111153541 C4(317,787) = 6296 Sum = 3779.754566064123382 Averaged sum = 0.3776355845802900771 logp*logq = 38.40167148842957526 -------------- ************************************* p = 317; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51193341040814101.87 -------------- Searches starting with [317,797]-exponents: u = 29, v = 6 n_start has 90 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(317,797) = 0.8440234103355490229 D2(317,797) = 0.1026539839490239806 C1(317,797) = 1.282853662518372770 C2(317,797) = 1.841095733921395273 C3(317,797) = 9.449406493455258951 C4(317,797) = 6376 Sum = 2857.580541179534954 Averaged sum = 0.2855011031251408686 logp*logq = 38.47438586070129918 -------------- ************************************* p = 317; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55794308504788717.39 -------------- Searches starting with [317,809]-exponents: u = 43, v = 6 n_start has 125 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(317,809) = 0.6440409371719514001 D2(317,809) = 0.01261721996499651530 C1(317,809) = 0.9322750210517182359 C2(317,809) = 1.753857341024907524 C3(317,809) = 5.115000527958482949 C4(317,809) = 6472 Sum = 4164.962793529960616 Averaged sum = 0.4161217697602118710 logp*logq = 38.56044826097372232 -------------- ************************************* p = 317; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56593344153887727.03 -------------- Searches starting with [317,811]-exponents: u = 50, v = 6 n_start has 143 digits starting right neighbors generation We generated 1113 left neighbors We generated 8897 right neighbors We generated 10009 non-negative rho_i D1(317,811) = 0.5424116580143169194 D2(317,811) = 0.04945948140446426234 C1(317,811) = 0.7772975531786171405 C2(317,811) = 1.714531900264459662 C3(317,811) = 3.899511145097503091 C4(317,811) = 6488 Sum = 4268.919774693986226 Averaged sum = 0.4265081201612534945 logp*logq = 38.57466777875077213 -------------- ************************************* p = 317; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60731775397655430.63 -------------- Searches starting with [317,821]-exponents: u = 134, v = 6 n_start has 353 digits --- performed 5000 steps in the continued fraction search [317,821]-exponents: u = 61, v = 22 --- starting right neighbors generation We generated 7632 left neighbors We generated 2378 right neighbors We generated 10009 non-negative rho_i D1(317,821) = 0.6087350106406589770 D2(317,821) = 0.01294979742877988449 C1(317,821) = 0.8263290747080994029 C2(317,821) = 1.540333641850100042 C3(317,821) = 4.249039582905232049 C4(317,821) = 6568 Sum = 4507.396152695167933 Averaged sum = 0.4503343143865688813 logp*logq = 38.64524343867007378 -------------- ************************************* p = 317; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61588734796110881.94 -------------- Searches starting with [317,823]-exponents: u = 190, v = 6 n_start has 493 digits --- performed 5000 steps in the continued fraction search [317,823]-exponents: u = 132, v = 27 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,823) = 0.5538759317697870805 D2(317,823) = 0.1229820062829582994 C1(317,823) = 0.7386847867562566193 C2(317,823) = 1.448686144307384235 C3(317,823) = 3.644612394735519500 C4(317,823) = 6584 Sum = 4793.658644442341142 Averaged sum = 0.4794138058248165959 logp*logq = 38.65925537203966748 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,823) = 0.5538759317697870805 D2(317,823) = 0.1229820062829582994 C1(317,823) = 0.7386847867562566193 C2(317,823) = 1.448686144307384235 C3(317,823) = 3.644612394735519500 C4(317,823) = 6584 Sum = 4793.658644442341142 Averaged sum = 0.4794138058248165959 logp*logq = 38.65925537203966748 -------------- ************************************* p = 317; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63332649104595989.93 -------------- Searches starting with [317,827]-exponents: u = 1219, v = 6 n_start has 3067 digits --- performed 5000 steps in the continued fraction search [317,827]-exponents: u = 414, v = 692 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,827) = 0.6063172338909456864 D2(317,827) = 0.4688861352329600625 C1(317,827) = 0.7557036540548578945 C2(317,827) = 1.462391652955003538 C3(317,827) = 3.754840277068745375 C4(317,827) = 6616 Sum = 5871.482635215574339 Averaged sum = 0.5872069842199794318 logp*logq = 38.68717737473306002 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,827) = 0.6063172338909456864 D2(317,827) = 0.4688861352329600625 C1(317,827) = 0.7557036540548578945 C2(317,827) = 1.462391652955003538 C3(317,827) = 3.754840277068745375 C4(317,827) = 6616 Sum = 5871.482635215574339 Averaged sum = 0.5872069842199794318 logp*logq = 38.68717737473306002 -------------- ************************************* p = 317; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64219787347539084.27 -------------- Searches starting with [317,829]-exponents: u = 7, v = 635 n_start has 1871 digits --- performed 5000 steps in the continued fraction search [317,829]-exponents: u = 215, v = 450 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,829) = 0.6036505181291050373 D2(317,829) = 0.4427552340848761892 C1(317,829) = 0.7635838336135228160 C2(317,829) = 1.495873512491487687 C3(317,829) = 3.807001789020118725 C4(317,829) = 6632 Sum = 5624.519162447609370 Averaged sum = 0.5625081670614670837 logp*logq = 38.70108777225450415 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,829) = 0.6036505181291050373 D2(317,829) = 0.4427552340848761892 C1(317,829) = 0.7635838336135228160 C2(317,829) = 1.495873512491487687 C3(317,829) = 3.807001789020118725 C4(317,829) = 6632 Sum = 5624.519162447609370 Averaged sum = 0.5625081670614670837 logp*logq = 38.70108777225450415 -------------- ************************************* p = 317; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68811011615211120.30 -------------- Searches starting with [317,839]-exponents: u = 7, v = 71 n_start has 226 digits starting right neighbors generation We generated 3086 left neighbors We generated 6924 right neighbors We generated 10009 non-negative rho_i D1(317,839) = 1.016565361493685035 D2(317,839) = 0.01651125447321897712 C1(317,839) = 1.419329410670277249 C2(317,839) = 1.646059657174296271 C3(317,839) = 11.99975715989464092 C4(317,839) = 6712 Sum = 4123.112945293656488 Averaged sum = 0.4119405480361331289 logp*logq = 38.77014017958961417 -------------- ************************************* p = 317; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75691580672672121.47 -------------- Searches starting with [317,853]-exponents: u = 7, v = 29 n_start has 103 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(317,853) = 0.9582711467599537531 D2(317,853) = 0.02659598690066519245 C1(317,853) = 1.346851286924443499 C2(317,853) = 1.806626862702509620 C3(317,853) = 10.56974389588986389 C4(317,853) = 6824 Sum = 4691.381767179260840 Averaged sum = 0.4687163320191088860 logp*logq = 38.86544332952106450 -------------- ************************************* p = 317; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77758604540890662.16 -------------- Searches starting with [317,857]-exponents: u = 7, v = 23 n_start has 85 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(317,857) = 0.5890704231407353640 D2(317,857) = 0.04949777506671222724 C1(317,857) = 0.8012841520266889816 C2(317,857) = 1.830283434225139345 C3(317,857) = 4.066756117187191436 C4(317,857) = 6856 Sum = 4055.922688059506348 Averaged sum = 0.4052275639983521178 logp*logq = 38.89238560918284387 -------------- ************************************* p = 317; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78809475240939930.82 -------------- Searches starting with [317,859]-exponents: u = 7, v = 23 n_start has 85 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(317,859) = 0.8464941244810766501 D2(317,859) = 0.06147107689154508378 C1(317,859) = 1.207000654741660200 C2(317,859) = 1.842632784955452702 C3(317,859) = 8.274285098154182048 C4(317,859) = 6872 Sum = 4325.016664662633126 Averaged sum = 0.4321127649777833076 logp*logq = 38.90580962872013204 -------------- ************************************* p = 317; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80946444882944708.43 -------------- Searches starting with [317,863]-exponents: u = 7, v = 23 n_start has 86 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(317,863) = 1.410474768567937683 D2(317,863) = 0.08663835765888435938 C1(317,863) = 2.159719400543048926 C2(317,863) = 1.868549498974846153 C3(317,863) = 43.86522270875137175 C4(317,863) = 6904 Sum = 3599.666110258162658 Averaged sum = 0.3596429323866682644 logp*logq = 38.93256415662638124 -------------- ************************************* p = 317; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88806668611361139.60 -------------- Searches starting with [317,877]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(317,877) = 0.7962170434946888905 D2(317,877) = 0.009734109681453159556 C1(317,877) = 1.261537141407375340 C2(317,877) = 1.923255226586956543 C3(317,877) = 9.103255562368584655 C4(317,877) = 7016 Sum = 3510.824631376331932 Averaged sum = 0.3507667730418954872 logp*logq = 39.02523813906396060 -------------- ************************************* p = 317; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91164757899454436.68 -------------- Searches starting with [317,881]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(317,881) = 0.6036345864805901905 D2(317,881) = 0.01991397428313349907 C1(317,881) = 0.8499511710984476220 C2(317,881) = 1.934234432814983838 C3(317,881) = 4.428448453094223647 C4(317,881) = 7048 Sum = 4180.707600441670024 Averaged sum = 0.4176948346929433534 logp*logq = 39.05144479076792535 -------------- ************************************* p = 317; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92363061890747036.60 -------------- Searches starting with [317,883]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(317,883) = 0.6235456369489489618 D2(317,883) = 0.02508072351267372743 C1(317,883) = 0.8985053999822570913 C2(317,883) = 1.939799466109051224 C3(317,883) = 4.821357111610004239 C4(317,883) = 7064 Sum = 3943.709321501192371 Averaged sum = 0.3940163174644012759 logp*logq = 39.06450353054460569 -------------- ************************************* p = 317; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94798739666549497.17 -------------- Searches starting with [317,887]-exponents: u = 7, v = 11 n_start has 50 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(317,887) = 0.7877289863830961239 D2(317,887) = 0.03557775818197781721 C1(317,887) = 1.182155130713005763 C2(317,887) = 1.951090316527358710 C3(317,887) = 7.922084004252307035 C4(317,887) = 7096 Sum = 3312.156155359345738 Averaged sum = 0.3309177895253617482 logp*logq = 39.09053250942663578 -------------- ************************************* p = 317; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107787860564439115.0 -------------- Searches starting with [317,907]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(317,907) = 0.9544109263653150025 D2(317,907) = 0.06319223908858921646 C1(317,907) = 1.288333747610970271 C2(317,907) = 1.382144221255709736 C3(317,907) = 9.540502681042601800 C4(317,907) = 7256 Sum = 4458.138237071689210 Averaged sum = 0.4454129520503236297 logp*logq = 39.21894143632503019 -------------- ************************************* p = 317; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110554297933579506.2 -------------- Searches starting with [317,911]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(317,911) = 0.7744013015355734945 D2(317,911) = 0.05522436783013411260 C1(317,911) = 1.092461298149917052 C2(317,911) = 2.002182783106433455 C3(317,911) = 6.770826169761844331 C4(317,911) = 7288 Sum = 3815.434704424574286 Averaged sum = 0.3812003900913751909 logp*logq = 39.24428317919319720 -------------- ************************************* p = 317; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116263382810920553.5 -------------- Searches starting with [317,919]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(317,919) = 0.5905407309382624414 D2(317,919) = 0.02979396532867222180 C1(317,919) = 0.8109224456075766038 C2(317,919) = 1.978511546738920409 C3(317,919) = 4.135961672785483980 C4(317,919) = 7352 Sum = 3988.623140410212276 Averaged sum = 0.3985036607463495131 logp*logq = 39.29463455370639773 -------------- ************************************* p = 317; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 123740241764897382.8 -------------- Searches starting with [317,929]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(317,929) = 0.6625064925599298622 D2(317,929) = 0.0003534685156153996592 C1(317,929) = 0.9209103865643021680 C2(317,929) = 1.951248287389271354 C3(317,929) = 5.014235189747904307 C4(317,929) = 7432 Sum = 3944.103098727581859 Averaged sum = 0.3940556597789571245 logp*logq = 39.35696093882523966 -------------- ************************************* p = 317; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130003906142292543.7 -------------- Searches starting with [317,937]-exponents: u = 19, v = 5 n_start has 63 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(317,937) = 0.6052165220771113517 D2(317,937) = 0.1386571729523099892 C1(317,937) = 0.8348073139554255077 C2(317,937) = 1.507122292260583119 C3(317,937) = 4.312579543566537933 C4(317,937) = 7496 Sum = 3918.617703833714229 Averaged sum = 0.3915094119126500379 logp*logq = 39.40634089216326234 -------------- ************************************* p = 317; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 133232616571273326.0 -------------- Searches starting with [317,941]-exponents: u = 19, v = 5 n_start has 63 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(317,941) = 0.5896716458801126217 D2(317,941) = 0.1155328172558855508 C1(317,941) = 0.8106011468505944984 C2(317,941) = 1.946374382631383929 C3(317,941) = 4.133635795765064516 C4(317,941) = 7528 Sum = 4067.631262995489824 Averaged sum = 0.4063973686677480092 logp*logq = 39.43087299219511975 -------------- ************************************* p = 317; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138199723381452321.8 -------------- Searches starting with [317,947]-exponents: u = 19, v = 5 n_start has 63 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(317,947) = 0.5930031230617846515 D2(317,947) = 0.07820064647737714227 C1(317,947) = 0.8102392578894179211 C2(317,947) = 1.910272953445144454 C3(317,947) = 4.131017653072353877 C4(317,947) = 7576 Sum = 4023.322496473389538 Averaged sum = 0.4019704762187420859 logp*logq = 39.46747630466086465 -------------- ************************************* p = 317; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 143318874859545669.6 -------------- Searches starting with [317,953]-exponents: u = 25, v = 5 n_start has 78 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(317,953) = 0.6594560144968410930 D2(317,953) = 0.04472537178779954802 C1(317,953) = 0.9221852363186761437 C2(317,953) = 1.878020564201249237 C3(317,953) = 5.025439156049487153 C4(317,953) = 7624 Sum = 3971.068611214189191 Averaged sum = 0.3967497863137365562 logp*logq = 39.50384843676921590 -------------- ************************************* p = 317; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155875484856118038.9 -------------- Searches starting with [317,967]-exponents: u = 37, v = 5 n_start has 108 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(317,967) = 0.7204815904516824709 D2(317,967) = 0.05246908487755977758 C1(317,967) = 1.069805741232602129 C2(317,967) = 1.804566187113010528 C3(317,967) = 6.507523504678109368 C4(317,967) = 7736 Sum = 2871.196928788250867 Averaged sum = 0.2868615175130633297 logp*logq = 39.58783390945051021 -------------- ************************************* p = 317; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 159625445400115636.7 -------------- Searches starting with [317,971]-exponents: u = 37, v = 5 n_start has 108 digits starting right neighbors generation We generated 573 left neighbors We generated 9437 right neighbors We generated 10009 non-negative rho_i D1(317,971) = 0.7863879667424848117 D2(317,971) = 0.02383846198407540752 C1(317,971) = 1.152437477420647890 C2(317,971) = 1.776709171467135909 C3(317,971) = 7.520451807095989979 C4(317,971) = 7768 Sum = 4405.983506167522768 Averaged sum = 0.4402021686649538183 logp*logq = 39.61160649954996178 -------------- ************************************* p = 317; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 165389946496882015.9 -------------- Searches starting with [317,977]-exponents: u = 49, v = 5 n_start has 138 digits starting right neighbors generation We generated 940 left neighbors We generated 9070 right neighbors We generated 10009 non-negative rho_i D1(317,977) = 0.5777152085089934970 D2(317,977) = 0.03625787111785672849 C1(317,977) = 0.7954903850839565373 C2(317,977) = 1.727615753102935327 C3(317,977) = 4.025713812908059917 C4(317,977) = 7816 Sum = 4245.816682233345486 Averaged sum = 0.4241998883238430898 logp*logq = 39.64708239268364228 -------------- ************************************* p = 317; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 171325403081583802.2 -------------- Searches starting with [317,983]-exponents: u = 67, v = 5 n_start has 183 digits starting right neighbors generation We generated 1753 left neighbors We generated 8257 right neighbors We generated 10009 non-negative rho_i D1(317,983) = 0.5999117726469614391 D2(317,983) = 0.02396087479727935368 C1(317,983) = 0.8497025913060894973 C2(317,983) = 1.667102027914382251 C3(317,983) = 4.426521610425264227 C4(317,983) = 7864 Sum = 3582.050847569148494 Averaged sum = 0.3578829900658555793 logp*logq = 39.68234108511048528 -------------- ************************************* p = 317; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179512164478620105.9 -------------- Searches starting with [317,991]-exponents: u = 115, v = 5 n_start has 303 digits starting right neighbors generation We generated 5006 left neighbors We generated 5004 right neighbors We generated 10009 non-negative rho_i D1(317,991) = 0.8997678604952006460 D2(317,991) = 0.01118278606382422517 C1(317,991) = 1.231756949682546909 C2(317,991) = 1.552564010083316427 C3(317,991) = 8.640794447362313830 C4(317,991) = 7928 Sum = 4341.089709185818337 Averaged sum = 0.4337186241568406771 logp*logq = 39.72901936922594573 -------------- ************************************* p = 317; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 185862111432494938.0 -------------- Searches starting with [317,997]-exponents: u = 229, v = 5 n_start has 588 digits --- performed 5000 steps in the continued fraction search [317,997]-exponents: u = 200, v = 6 --- **************************************************** Computing .... elapsed time = 36 minutes **************************************************** We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,997) = 0.5511357480268484059 D2(317,997) = 0.1429805496882673777 C1(317,997) = 0.7287118445465248583 C2(317,997) = 1.438094168425985569 C3(317,997) = 3.581529430229770477 C4(317,997) = 7976 Sum = 4884.332118780954132 Averaged sum = 0.4884820600841038235 logp*logq = 39.76378145731374990 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(317,997) = 0.5511357480268484059 D2(317,997) = 0.1429805496882673777 C1(317,997) = 0.7287118445465248583 C2(317,997) = 1.438094168425985569 C3(317,997) = 3.581529430229770477 C4(317,997) = 7976 Sum = 4884.332118780954132 Averaged sum = 0.4884820600841038235 logp*logq = 39.76378145731374990 -------------- ************************************* p = 331; q = 337; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 463028682072047.1084 -------------- Searches starting with [331,337]-exponents: u = 1, v = 322 n_start has 817 digits --- performed 5000 steps in the continued fraction search [331,337]-exponents: u = 275, v = 33 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(331,337) = 0.5395140990963371465 D2(331,337) = 0.03408966551723138971 C1(331,337) = 0.7066641914106112010 C2(331,337) = 1.096619503271018744 C3(331,337) = 3.464170800552466480 C4(331,337) = 2696 Sum = 5343.773204407232089 Averaged sum = 0.5344307635170749164 logp*logq = 33.76881011641582054 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(331,337) = 0.5395140990963371465 D2(331,337) = 0.03408966551723138971 C1(331,337) = 0.7066641914106112010 C2(331,337) = 1.096619503271018744 C3(331,337) = 3.464170800552466480 C4(331,337) = 2696 Sum = 5343.773204407232089 Averaged sum = 0.5344307635170749164 logp*logq = 33.76881011641582054 -------------- ************************************* p = 331; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 548646136372412.5061 -------------- Searches starting with [331,347]-exponents: u = 1, v = 122 n_start has 313 digits starting right neighbors generation We generated 1754 left neighbors We generated 8256 right neighbors We generated 10009 non-negative rho_i D1(331,347) = 0.8290865363082855441 D2(331,347) = 0.01152717962286100011 C1(331,347) = 1.131500216972002497 C2(331,347) = 1.239332451450586493 C3(331,347) = 7.311363674634455771 C4(331,347) = 2776 Sum = 5068.531435907362299 Averaged sum = 0.5063973859433871814 logp*logq = 33.93847478927806661 -------------- ************************************* p = 331; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 567249517484027.2261 -------------- Searches starting with [331,349]-exponents: u = 1, v = 109 n_start has 280 digits starting right neighbors generation We generated 1462 left neighbors We generated 8548 right neighbors We generated 10009 non-negative rho_i D1(331,349) = 0.5830194454958407225 D2(331,349) = 0.008802353024990571191 C1(331,349) = 0.8006798502513181597 C2(331,349) = 1.259904429411270896 C3(331,349) = 4.086847125472790994 C4(331,349) = 2792 Sum = 4772.612738673828228 Averaged sum = 0.4768321249549233917 logp*logq = 33.97182038896500352 -------------- ************************************* p = 331; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 606024852386210.5637 -------------- Searches starting with [331,353]-exponents: u = 1, v = 90 n_start has 232 digits starting right neighbors generation We generated 1037 left neighbors We generated 8973 right neighbors We generated 10009 non-negative rho_i D1(331,353) = 0.7237359030863580031 D2(331,353) = 0.01293875203242087813 C1(331,353) = 1.005831778858689424 C2(331,353) = 1.304687848480775649 C3(331,353) = 5.861916841954672563 C4(331,353) = 2824 Sum = 4117.570598629521339 Averaged sum = 0.4113868117323929802 logp*logq = 34.03794211169525479 -------------- ************************************* p = 331; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 668283057519637.6275 -------------- Searches starting with [331,359]-exponents: u = 1, v = 71 n_start has 184 digits starting right neighbors generation We generated 684 left neighbors We generated 9326 right neighbors We generated 10009 non-negative rho_i D1(331,359) = 0.7174853828727607626 D2(331,359) = 0.002334801186256775584 C1(331,359) = 0.9709647592595626540 C2(331,359) = 1.348474925045263227 C3(331,359) = 5.513351287204477286 C4(331,359) = 2872 Sum = 4198.747440491527197 Averaged sum = 0.4194971965722377057 logp*logq = 34.13573293851511393 -------------- ************************************* p = 331; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 759444599445320.3113 -------------- Searches starting with [331,367]-exponents: u = 1, v = 56 n_start has 147 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(331,367) = 0.6684561928903182741 D2(331,367) = 0.01923302601457331888 C1(331,367) = 0.9591557263520113521 C2(331,367) = 1.423059785972196922 C3(331,367) = 5.400058263574619903 C4(331,367) = 2936 Sum = 3414.431338067119362 Averaged sum = 0.3411361113065360538 logp*logq = 34.26360849184807305 -------------- ************************************* p = 331; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 834370746646179.5918 -------------- Searches starting with [331,373]-exponents: u = 1, v = 48 n_start has 126 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(331,373) = 0.6436459322650793749 D2(331,373) = 0.01018394166943578953 C1(331,373) = 0.8899246580060189233 C2(331,373) = 1.454462689292309198 C3(331,373) = 4.781173795596526657 C4(331,373) = 2984 Sum = 4518.534794756894156 Averaged sum = 0.4514471770163746783 logp*logq = 34.35769895985165064 -------------- ************************************* p = 331; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 915313659724315.2942 -------------- Searches starting with [331,379]-exponents: u = 1, v = 42 n_start has 111 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(331,379) = 0.6964549028375067586 D2(331,379) = 0.01388240895742095986 C1(331,379) = 1.020044154006781386 C2(331,379) = 1.493335195396898621 C3(331,379) = 6.010243012114679731 C4(331,379) = 3032 Sum = 4471.060847373765416 Averaged sum = 0.4467040510913942867 logp*logq = 34.45028791997533893 -------------- ************************************* p = 331; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 972803386293786.8922 -------------- Searches starting with [331,383]-exponents: u = 1, v = 39 n_start has 104 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(331,383) = 0.7090712306342083340 D2(331,383) = 0.05820190627685767708 C1(331,383) = 0.9538235958984155457 C2(331,383) = 1.554029184712993742 C3(331,383) = 5.349668884212072419 C4(331,383) = 3064 Sum = 4187.723258428772232 Averaged sum = 0.4183957696501920504 logp*logq = 34.51120310811073562 -------------- ************************************* p = 331; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1064618903163333.016 -------------- Searches starting with [331,389]-exponents: u = 1, v = 35 n_start has 94 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(331,389) = 0.8480648198049346013 D2(331,389) = 0.02268038353188810519 C1(331,389) = 1.261003352991546230 C2(331,389) = 1.554273963271834551 C3(331,389) = 9.180899726749003276 C4(331,389) = 3112 Sum = 4769.813380054049744 Averaged sum = 0.4765524408086771650 logp*logq = 34.60139329262767075 -------------- ************************************* p = 331; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1198091958003855.105 -------------- Searches starting with [331,397]-exponents: u = 1, v = 31 n_start has 84 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(331,397) = 0.7847637574615239664 D2(331,397) = 0.06975106316101218100 C1(331,397) = 1.179383169186328621 C2(331,397) = 1.633519936783150131 C3(331,397) = 7.953552766158567164 C4(331,397) = 3176 Sum = 4397.647097672737505 Averaged sum = 0.4393692774175979123 logp*logq = 34.71950665126062550 -------------- ************************************* p = 331; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1269848172061600.507 -------------- Searches starting with [331,401]-exponents: u = 1, v = 30 n_start has 81 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(331,401) = 0.8188656917741188513 D2(331,401) = 0.02889523751617985470 C1(331,401) = 1.117054385298338804 C2(331,401) = 1.616089000300539360 C3(331,401) = 7.128000859769384568 C4(331,401) = 3208 Sum = 4269.844794026218152 Averaged sum = 0.4266005389175959788 logp*logq = 34.77767373867677232 -------------- ************************************* p = 331; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1424058389837911.576 -------------- Searches starting with [331,409]-exponents: u = 1, v = 27 n_start has 74 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(331,409) = 0.5820790624064782907 D2(331,409) = 0.08019989681842773143 C1(331,409) = 0.8352108628139084230 C2(331,409) = 1.694659941468803475 C3(331,409) = 4.342659820913451090 C4(331,409) = 3272 Sum = 4108.423017876102218 Averaged sum = 0.4104728761990310938 logp*logq = 34.89228721115948118 -------------- ************************************* p = 331; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1638310319488063.476 -------------- Searches starting with [331,419]-exponents: u = 1, v = 24 n_start has 66 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(331,419) = 0.6556595076686467561 D2(331,419) = 0.03307343144738085190 C1(331,419) = 0.8932507405580317166 C2(331,419) = 1.693363173657782211 C3(331,419) = 4.809215992091775386 C4(331,419) = 3352 Sum = 4340.869733208418185 Averaged sum = 0.4336966463391365956 logp*logq = 35.03244181263504602 -------------- ************************************* p = 331; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1684206621345740.389 -------------- Searches starting with [331,421]-exponents: u = 1, v = 24 n_start has 66 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(331,421) = 0.8574573611339826265 D2(331,421) = 0.08293214737882670800 C1(331,421) = 1.141733176962208246 C2(331,421) = 1.743928041959758689 C3(331,421) = 7.444098955942285381 C4(331,421) = 3368 Sum = 3815.608168034674592 Averaged sum = 0.3812177208546982308 logp*logq = 35.06007099996531680 -------------- ************************************* p = 331; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1929962980613825.136 -------------- Searches starting with [331,431]-exponents: u = 1, v = 21 n_start has 58 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(331,431) = 1.056931611864412139 D2(331,431) = 0.07855936170517861651 C1(331,431) = 1.649604228825399347 C2(331,431) = 1.776097207825887590 C3(331,431) = 18.18091179421790766 C4(331,431) = 3448 Sum = 4737.960684791602901 Averaged sum = 0.4733700354472577581 logp*logq = 35.19627721661441501 -------------- ************************************* p = 331; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1982507641165461.172 -------------- Searches starting with [331,433]-exponents: u = 1, v = 21 n_start has 58 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(331,433) = 1.251628386120019996 D2(331,433) = 0.1296143296722677474 C1(331,433) = 1.717137460151564335 C2(331,433) = 1.827846993042687224 C3(331,433) = 20.47307744630629073 C4(331,433) = 3464 Sum = 4757.041586077600609 Averaged sum = 0.4752764098389050463 logp*logq = 35.22313892373804836 -------------- ************************************* p = 331; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2147296168517559.936 -------------- Searches starting with [331,439]-exponents: u = 1, v = 20 n_start has 56 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(331,439) = 0.6546052481209155647 D2(331,439) = 0.1266730971708598403 C1(331,439) = 0.9606178692772621116 C2(331,439) = 1.845331137200629887 C3(331,439) = 5.413958449441408839 C4(331,439) = 3512 Sum = 3834.337743463320019 Averaged sum = 0.3830889942515056468 logp*logq = 35.30298584957440595 -------------- ************************************* p = 331; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2263329002693322.434 -------------- Searches starting with [331,443]-exponents: u = 1, v = 19 n_start has 53 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(331,443) = 0.7499440219516786808 D2(331,443) = 0.06304384088749198253 C1(331,443) = 1.183039497868625259 C2(331,443) = 1.802868678320172917 C3(331,443) = 8.004848008298669412 C4(331,443) = 3544 Sum = 3989.485065170460927 Averaged sum = 0.3985897757188990835 logp*logq = 35.35561313442106516 -------------- ************************************* p = 331; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2447074723825254.107 -------------- Searches starting with [331,449]-exponents: u = 1, v = 19 n_start has 53 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(331,449) = 0.9915217056813776391 D2(331,449) = 0.03334203035193646411 C1(331,449) = 1.573469955585681758 C2(331,449) = 1.796658150933474382 C3(331,449) = 15.90305460331165373 C4(331,449) = 3592 Sum = 1728.955100117049982 Averaged sum = 0.1727400439721300812 logp*logq = 35.43366971581762767 -------------- ************************************* p = 331; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2711119504182806.613 -------------- Searches starting with [331,457]-exponents: u = 1, v = 17 n_start has 48 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(331,457) = 1.170941412989194384 D2(331,457) = 0.02333716487894241636 C1(331,457) = 1.870149731308591052 C2(331,457) = 1.812710255990517710 C3(331,457) = 26.79299400481120597 C4(331,457) = 3656 Sum = 4731.565929101361446 Averaged sum = 0.4727311348887362819 logp*logq = 35.53613804567396365 -------------- ************************************* p = 331; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2851727907395859.651 -------------- Searches starting with [331,461]-exponents: u = 1, v = 17 n_start has 48 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(331,461) = 0.8674053847327976097 D2(331,461) = 0.09344710434749505787 C1(331,461) = 1.289766346757116363 C2(331,461) = 1.884165584734236893 C3(331,461) = 9.657134503763194589 C4(331,461) = 3688 Sum = 4088.086233773029656 Averaged sum = 0.4084410264534948202 logp*logq = 35.58670148877257129 -------------- ************************************* p = 331; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2924263133138322.328 -------------- Searches starting with [331,463]-exponents: u = 1, v = 17 n_start has 48 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(331,463) = 0.7690468761772542469 D2(331,463) = 0.1339608572123167118 C1(331,463) = 1.047725742203562349 C2(331,463) = 1.925347644070590463 C3(331,463) = 6.309999452827042144 C4(331,463) = 3704 Sum = 4155.763132544094501 Averaged sum = 0.4152026308866114997 logp*logq = 35.61181892356266672 -------------- ************************************* p = 331; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3073919729720734.237 -------------- Searches starting with [331,467]-exponents: u = 1, v = 16 n_start has 46 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(331,467) = 0.9392214402713807703 D2(331,467) = 0.02464463087023834713 C1(331,467) = 1.281237496161672234 C2(331,467) = 1.842934442468398497 C3(331,467) = 9.513400151289195471 C4(331,467) = 3736 Sum = 4500.553161136062550 Averaged sum = 0.4496506305461147517 logp*logq = 35.66172992703837150 -------------- ************************************* p = 331; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3561426079044251.427 -------------- Searches starting with [331,479]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(331,479) = 0.8340598761333077567 D2(331,479) = 0.03025461955084116447 C1(331,479) = 1.120590767873962203 C2(331,479) = 1.880688210500777374 C3(331,479) = 7.172459055227787917 C4(331,479) = 3832 Sum = 3827.550433625300523 Averaged sum = 0.3824108735763113721 logp*logq = 35.80893744356346804 -------------- ************************************* p = 331; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3920677950141153.536 -------------- Searches starting with [331,487]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(331,487) = 1.016841158167187232 D2(331,487) = 0.09200324292711894007 C1(331,487) = 1.661690710487275931 C2(331,487) = 1.103160739238440624 C3(331,487) = 18.57140388814823012 C4(331,487) = 3896 Sum = 1573.699390114915246 Averaged sum = 0.1572284334214122536 logp*logq = 35.90504098022412069 -------------- ************************************* p = 331; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4111245158767812.089 -------------- Searches starting with [331,491]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(331,491) = 1.119502537456923100 D2(331,491) = 0.007935986205095397079 C1(331,491) = 1.538254463911027997 C2(331,491) = 1.893565326001304142 C3(331,491) = 14.94825414879771714 C4(331,491) = 3928 Sum = 4685.046357546811764 Averaged sum = 0.4680833607300241547 logp*logq = 35.95250233587388527 -------------- ************************************* p = 331; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4515426260319833.115 -------------- Searches starting with [331,499]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(331,499) = 0.6420998708157507602 D2(331,499) = 0.1037461297438373260 C1(331,499) = 1.059086161545694658 C2(331,499) = 1.372288891012414078 C3(331,499) = 6.437303501046155557 C4(331,499) = 3992 Sum = 3966.958104780731433 Averaged sum = 0.3963391052833181570 logp*logq = 36.04627598713943916 -------------- ************************************* p = 331; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4729521982974490.692 -------------- Searches starting with [331,503]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(331,503) = 0.6370798794516574954 D2(331,503) = 0.1272604860757674263 C1(331,503) = 1.050709047957650188 C2(331,503) = 1.400321003156149774 C3(331,503) = 6.343184357163312943 C4(331,503) = 4024 Sum = 4063.018904539013851 Averaged sum = 0.4059365475610963984 logp*logq = 36.09260053162562621 -------------- ************************************* p = 331; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5066370915296373.867 -------------- Searches starting with [331,509]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(331,509) = 0.8223653134058202537 D2(331,509) = 0.02622887718565318850 C1(331,509) = 1.251760814664513884 C2(331,509) = 1.952651592572426034 C3(331,509) = 9.032911719418552341 C4(331,509) = 4072 Sum = 3492.650968341120077 Averaged sum = 0.3489510408973044337 logp*logq = 36.16140116041011705 -------------- ************************************* p = 331; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5799814151025518.727 -------------- Searches starting with [331,521]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(331,521) = 0.6363659177021493972 D2(331,521) = 0.1116556540241706883 C1(331,521) = 0.9006184223823268152 C2(331,521) = 1.788255940267577684 C3(331,521) = 4.871919969805625860 C4(331,521) = 4168 Sum = 4342.444293854046265 Averaged sum = 0.4338539608206660271 logp*logq = 36.29660226902303867 -------------- ************************************* p = 331; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5930189922560837.014 -------------- Searches starting with [331,523]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(331,523) = 0.6892646100853400580 D2(331,523) = 0.1095429443417306976 C1(331,523) = 1.015611359605155640 C2(331,523) = 1.786815346287760824 C3(331,523) = 5.963582200614600627 C4(331,523) = 4184 Sum = 3494.596410526131773 Averaged sum = 0.3491454101834480740 logp*logq = 36.31883263482074730 -------------- ************************************* p = 331; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7216623951749809.888 -------------- Searches starting with [331,541]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(331,541) = 0.6294542751390395433 D2(331,541) = 0.09310575462028165205 C1(331,541) = 0.8955685422279065031 C2(331,541) = 1.806386952585803172 C3(331,541) = 4.828854557265706484 C4(331,541) = 4328 Sum = 3732.787450380987261 Averaged sum = 0.3729430962514724010 logp*logq = 36.51516364174743417 -------------- ************************************* p = 331; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7693546405258664.176 -------------- Searches starting with [331,547]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(331,547) = 0.5942932628374798376 D2(331,547) = 0.08732647929212965858 C1(331,547) = 0.9189449567655561706 C2(331,547) = 1.802572665067424350 C3(331,547) = 5.031460196958844522 C4(331,547) = 4376 Sum = 4045.208529148442376 Averaged sum = 0.4041571115144812045 logp*logq = 36.57915824315649541 -------------- ************************************* p = 331; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8546275407576077.243 -------------- Searches starting with [331,557]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(331,557) = 0.6294897021475254944 D2(331,557) = 0.04849311748820130328 C1(331,557) = 0.8786187365245822597 C2(331,557) = 2.074679312400961857 C3(331,557) = 4.687070442246410674 C4(331,557) = 4456 Sum = 4357.235430080367813 Averaged sum = 0.4353317444380425429 logp*logq = 36.68427195810238308 -------------- ************************************* p = 331; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9094426123148891.894 -------------- Searches starting with [331,563]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(331,563) = 0.8726243899859325274 D2(331,563) = 0.06659182115697549161 C1(331,563) = 1.176836152313391023 C2(331,563) = 1.292290857249653285 C3(331,563) = 7.918014609599792571 C4(331,563) = 4504 Sum = 4245.875734526463511 Averaged sum = 0.4242057882432274464 logp*logq = 36.74643810683050942 -------------- ************************************* p = 331; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9671359056020518.393 -------------- Searches starting with [331,569]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(331,569) = 0.6564350775241131389 D2(331,569) = 0.06878828477555419936 C1(331,569) = 0.9183440497815998248 C2(331,569) = 1.825434966961977213 C3(331,569) = 5.026147122899830932 C4(331,569) = 4552 Sum = 4164.405798740232359 Averaged sum = 0.4160661203656941112 logp*logq = 36.80794523803940367 -------------- ************************************* p = 331; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9870269658589456.615 -------------- Searches starting with [331,571]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(331,571) = 0.6051429813568888354 D2(331,571) = 0.06703947243723107148 C1(331,571) = 0.8140217679916241872 C2(331,571) = 1.824322198630754468 C3(331,571) = 4.183849963854723683 C4(331,571) = 4568 Sum = 4053.438719956537084 Averaged sum = 0.4049793905441639609 logp*logq = 36.82830356901522929 -------------- ************************************* p = 331; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10487426331356022.06 -------------- Searches starting with [331,577]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(331,577) = 0.6186256045316374809 D2(331,577) = 0.05685966336093600196 C1(331,577) = 0.8533063859710546531 C2(331,577) = 1.673309765770654455 C3(331,577) = 4.483047178362214642 C4(331,577) = 4616 Sum = 4240.499579351650688 Averaged sum = 0.4236686561446348973 logp*logq = 36.88895344225559800 -------------- ************************************* p = 331; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11586866468518056.83 -------------- Searches starting with [331,587]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(331,587) = 0.7135560508204627339 D2(331,587) = 0.02388153197246338884 C1(331,587) = 0.9930611962571082534 C2(331,587) = 2.111603809780097943 C3(331,587) = 5.731762775162131283 C4(331,587) = 4696 Sum = 4503.470558513751696 Averaged sum = 0.4499421079542163749 logp*logq = 36.98864865060944809 -------------- ************************************* p = 331; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12291123778808808.89 -------------- Searches starting with [331,593]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(331,593) = 0.8514028107537535687 D2(331,593) = 0.04171553531383676449 C1(331,593) = 1.475681984260511120 C2(331,593) = 1.219466262344442602 C3(331,593) = 13.39093700572691000 C4(331,593) = 4744 Sum = 4134.046422754257454 Averaged sum = 0.4130329126540371119 logp*logq = 37.04765375277940436 -------------- ************************************* p = 331; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13030443649363608.78 -------------- Searches starting with [331,599]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(331,599) = 0.5976238023678459346 D2(331,599) = 0.04498831012304515093 C1(331,599) = 0.8273137520490230255 C2(331,599) = 1.850795415671987850 C3(331,599) = 4.282779179532855000 C4(331,599) = 4792 Sum = 4255.317536045328597 Averaged sum = 0.4251491193970754917 logp*logq = 37.10606483376892993 -------------- ************************************* p = 331; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13284910620665430.06 -------------- Searches starting with [331,601]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(331,601) = 1.237238944561211704 D2(331,601) = 0.04340179120539785891 C1(331,601) = 1.693220099385405565 C2(331,601) = 1.849825171223832821 C3(331,601) = 19.62999339495050235 C4(331,601) = 4808 Sum = 4570.466622183044863 Averaged sum = 0.4566356900972169910 logp*logq = 37.12540524626132275 -------------- ************************************* p = 331; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14073115326092114.03 -------------- Searches starting with [331,607]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(331,607) = 0.6952259516808709701 D2(331,607) = 0.03871272422753993911 C1(331,607) = 0.9792277716241948104 C2(331,607) = 1.846972453066241668 C3(331,607) = 5.594035139963183058 C4(331,607) = 4856 Sum = 4009.397949066515245 Averaged sum = 0.4005792735604471221 logp*logq = 37.18304265773926904 -------------- ************************************* p = 331; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14899635353919401.47 -------------- Searches starting with [331,613]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(331,613) = 0.6918363212465798652 D2(331,613) = 0.03128930161938328621 C1(331,613) = 0.9437674631145025478 C2(331,613) = 1.690912702804526986 C3(331,613) = 5.255913077895334810 C4(331,613) = 4904 Sum = 4072.763185769010044 Averaged sum = 0.4069100994873623782 logp*logq = 37.24011313467131729 -------------- ************************************* p = 331; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15472654314978980.21 -------------- Searches starting with [331,617]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(331,617) = 0.6681791781188320380 D2(331,617) = 0.02696980710473086266 C1(331,617) = 1.010291127853913813 C2(331,617) = 1.596565425858643705 C3(331,617) = 5.908058028239840423 C4(331,617) = 4936 Sum = 3668.587812120683426 Averaged sum = 0.3665289051973906910 logp*logq = 37.27785062299234465 -------------- ************************************* p = 331; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15765930692076582.39 -------------- Searches starting with [331,619]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(331,619) = 0.5772598124585051698 D2(331,619) = 0.02568309238103070257 C1(331,619) = 0.7787617977987156283 C2(331,619) = 1.595842732915066040 C3(331,619) = 3.932349061727710518 C4(331,619) = 4952 Sum = 4127.468407296873026 Averaged sum = 0.4123757025973496879 logp*logq = 37.29662772150148065 -------------- ************************************* p = 331; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17623890948592979.77 -------------- Searches starting with [331,631]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(331,631) = 1.326379703302459285 D2(331,631) = 0.01325087860318344698 C1(331,631) = 2.339185451459733676 C2(331,631) = 1.059712716888090898 C3(331,631) = 61.11821061718488477 C4(331,631) = 5048 Sum = 3646.607462080829750 Averaged sum = 0.3643328466461014836 logp*logq = 37.40803181672663691 -------------- ************************************* p = 331; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19307344695548704.07 -------------- Searches starting with [331,641]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(331,641) = 0.7931192915929360380 D2(331,641) = 0.01431310571861364197 C1(331,641) = 1.104573406537263228 C2(331,641) = 1.879707564433153416 C3(331,641) = 6.973285323771395473 C4(331,641) = 5128 Sum = 4483.224274502421979 Averaged sum = 0.4479193000801700449 logp*logq = 37.49926197260265919 -------------- ************************************* p = 331; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19659500892348532.78 -------------- Searches starting with [331,643]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(331,643) = 0.6344221194449967511 D2(331,643) = 0.01290818034494179565 C1(331,643) = 0.8480968227177321008 C2(331,643) = 1.878891749247874704 C3(331,643) = 4.442171860273403428 C4(331,643) = 5144 Sum = 3821.626376244429886 Averaged sum = 0.3818190005239714144 logp*logq = 37.51733712234654260 -------------- ************************************* p = 331; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20379774688566942.42 -------------- Searches starting with [331,647]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(331,647) = 0.7655647779505169039 D2(331,647) = 0.01012554798387742883 C1(331,647) = 1.165302055551184878 C2(331,647) = 1.877281749374769769 C3(331,647) = 7.759058337472944146 C4(331,647) = 5176 Sum = 3610.369334350663017 Averaged sum = 0.3607122923719315633 logp*logq = 37.55331936712731829 -------------- ************************************* p = 331; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21501041338032546.00 -------------- Searches starting with [331,653]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(331,653) = 0.7408284859913156513 D2(331,653) = 0.006017938703573749763 C1(331,653) = 1.011050171496014353 C2(331,653) = 1.874919292784448539 C3(331,653) = 5.915947997438731733 C4(331,653) = 5224 Sum = 4264.849617022300699 Averaged sum = 0.4261014703788890698 logp*logq = 37.60687776319849339 -------------- ************************************* p = 331; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22672889013083564.69 -------------- Searches starting with [331,659]-exponents: u = 19, v = 8 n_start has 71 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(331,659) = 0.7306747182758299317 D2(331,659) = 0.001818105946063417444 C1(331,659) = 1.037308376320800457 C2(331,659) = 1.713170861691482384 C3(331,659) = 6.195477166850529275 C4(331,659) = 5272 Sum = 4426.725116589547207 Averaged sum = 0.4422744646407780205 logp*logq = 37.65994628902935466 -------------- ************************************* p = 331; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23075053166689455.07 -------------- Searches starting with [331,661]-exponents: u = 19, v = 8 n_start has 71 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(331,661) = 0.9792759416955517664 D2(331,661) = 0.0006041612544384460090 C1(331,661) = 1.314913362296665675 C2(331,661) = 1.712458168655810869 C3(331,661) = 10.09369561392517669 C4(331,661) = 5288 Sum = 3852.749389324230302 Averaged sum = 0.3849285032794715059 logp*logq = 37.67752847937882993 -------------- ************************************* p = 331; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25614045106111337.12 -------------- Searches starting with [331,673]-exponents: u = 46, v = 8 n_start has 139 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(331,673) = 0.9031280407695622480 D2(331,673) = 0.04600072436022897619 C1(331,673) = 1.217572763633904461 C2(331,673) = 1.760544649137057804 C3(331,673) = 8.505938310577125327 C4(331,673) = 5384 Sum = 4076.970963590725807 Averaged sum = 0.4073304989100535325 logp*logq = 37.78191723290744500 -------------- ************************************* p = 331; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26510048831992606.10 -------------- Searches starting with [331,677]-exponents: u = 82, v = 8 n_start has 230 digits starting right neighbors generation We generated 3627 left neighbors We generated 6383 right neighbors We generated 10009 non-negative rho_i D1(331,677) = 0.6664568047346932616 D2(331,677) = 0.02271295892970625815 C1(331,677) = 0.9323643144924425099 C2(331,677) = 1.738344865080344739 C3(331,677) = 5.151585153804599432 C4(331,677) = 5416 Sum = 4014.542582085286292 Averaged sum = 0.4010932742616931054 logp*logq = 37.81630025723152254 -------------- ************************************* p = 331; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27902585550903967.61 -------------- Searches starting with [331,683]-exponents: u = 910, v = 8 n_start has 2316 digits --- performed 5000 steps in the continued fraction search [331,683]-exponents: u = 653, v = 231 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(331,683) = 0.5849944995697330704 D2(331,683) = 0.4505361088245714980 C1(331,683) = 0.7359535072312021879 C2(331,683) = 1.454808064241535022 C3(331,683) = 3.647239018661721392 C4(331,683) = 5464 Sum = 5760.264840640807160 Averaged sum = 0.5760840924733280488 logp*logq = 37.86749575151962473 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(331,683) = 0.5849944995697330704 D2(331,683) = 0.4505361088245714980 C1(331,683) = 0.7359535072312021879 C2(331,683) = 1.454808064241535022 C3(331,683) = 3.647239018661721392 C4(331,683) = 5464 Sum = 5760.264840640807160 Averaged sum = 0.5760840924733280488 logp*logq = 37.86749575151962473 -------------- ************************************* p = 331; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29852984478089807.12 -------------- Searches starting with [331,691]-exponents: u = 9, v = 63 n_start has 202 digits starting right neighbors generation We generated 1480 left neighbors We generated 8530 right neighbors We generated 10009 non-negative rho_i D1(331,691) = 0.6923051871239588862 D2(331,691) = 0.01444796725853457754 C1(331,691) = 0.9349126425672206875 C2(331,691) = 1.424379780774703238 C3(331,691) = 5.174718768523453938 C4(331,691) = 5528 Sum = 4270.622449554797852 Averaged sum = 0.4266782345443898343 logp*logq = 37.93506121226694921 -------------- ************************************* p = 331; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32448363850780571.71 -------------- Searches starting with [331,701]-exponents: u = 9, v = 23 n_start has 89 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(331,701) = 0.6490185876861448740 D2(331,701) = 0.05938353580754871969 C1(331,701) = 0.8830849012654124650 C2(331,701) = 1.703885309410113459 C3(331,701) = 4.724020614338694471 C4(331,701) = 5608 Sum = 4170.306809695236476 Averaged sum = 0.4166556908477606630 logp*logq = 38.01842641616652705 -------------- ************************************* p = 331; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34656675732154871.60 -------------- Searches starting with [331,709]-exponents: u = 9, v = 15 n_start has 66 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(331,709) = 0.6415618524313601910 D2(331,709) = 0.1036506790104979422 C1(331,709) = 0.8806240238368690170 C2(331,709) = 1.857031277140942348 C3(331,709) = 4.703625011898853884 C4(331,709) = 5672 Sum = 4233.104524306052457 Averaged sum = 0.4229298155965683342 logp*logq = 38.08426676381234340 -------------- ************************************* p = 331; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37590593995453802.36 -------------- Searches starting with [331,719]-exponents: u = 17, v = 7 n_start has 63 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(331,719) = 0.7468038908766633144 D2(331,719) = 0.1122313811316375460 C1(331,719) = 1.210252168043942429 C2(331,719) = 1.330767203982809130 C3(331,719) = 8.397157906731564625 C4(331,719) = 5752 Sum = 3975.853306523257050 Averaged sum = 0.3972278256092773553 logp*logq = 38.16553025431600060 -------------- ************************************* p = 331; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40083107828230814.96 -------------- Searches starting with [331,727]-exponents: u = 17, v = 7 n_start has 63 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(331,727) = 0.8974212251144109329 D2(331,727) = 0.09258253659583718628 C1(331,727) = 1.272684498910890154 C2(331,727) = 1.866858025882619783 C3(331,727) = 9.371407231159674190 C4(331,727) = 5816 Sum = 4403.716116288605886 Averaged sum = 0.4399756335586577966 logp*logq = 38.22973138930569712 -------------- ************************************* p = 331; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42040940068502364.81 -------------- Searches starting with [331,733]-exponents: u = 25, v = 7 n_start has 84 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(331,733) = 0.6700802315437249838 D2(331,733) = 0.05960390158038996527 C1(331,733) = 0.9367000620567748614 C2(331,733) = 1.835426338683284293 C3(331,733) = 5.191006845882049836 C4(331,733) = 5864 Sum = 4329.055846806379738 Averaged sum = 0.4325163199926445936 logp*logq = 38.27742030195635169 -------------- ************************************* p = 331; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44077261933217254.89 -------------- Searches starting with [331,739]-exponents: u = 33, v = 7 n_start has 104 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(331,739) = 0.7232064455441156885 D2(331,739) = 0.02965481405727800260 C1(331,739) = 1.018640360062390929 C2(331,739) = 1.807011404706518628 C3(331,739) = 5.995426924872436154 C4(331,739) = 5912 Sum = 4216.194777423354065 Averaged sum = 0.4212403614170600525 logp*logq = 38.32472044197347173 -------------- ************************************* p = 331; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45479633036838904.94 -------------- Searches starting with [331,743]-exponents: u = 41, v = 7 n_start has 124 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(331,743) = 0.6805398862650544292 D2(331,743) = 0.01105434189702939006 C1(331,743) = 0.9230259053530808106 C2(331,743) = 1.789426696834424601 C3(331,743) = 5.067691850430504206 C4(331,743) = 5944 Sum = 4072.128463969946717 Averaged sum = 0.4068466843810517251 logp*logq = 38.35604099508938037 -------------- ************************************* p = 331; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48395314830558130.29 -------------- Searches starting with [331,751]-exponents: u = 97, v = 7 n_start has 265 digits starting right neighbors generation We generated 4676 left neighbors We generated 5334 right neighbors We generated 10009 non-negative rho_i D1(331,751) = 0.6729636601049114647 D2(331,751) = 0.003125980384209452216 C1(331,751) = 0.9316073755535513849 C2(331,751) = 1.680472092242237383 C3(331,751) = 5.144733636696342430 C4(331,751) = 6008 Sum = 4176.288190822162244 Averaged sum = 0.4172532911202080371 logp*logq = 38.41817940292622379 -------------- ************************************* p = 331; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50682158986378418.40 -------------- Searches starting with [331,757]-exponents: u = 577, v = 7 n_start has 1475 digits --- performed 5000 steps in the continued fraction search [331,757]-exponents: u = 278, v = 260 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(331,757) = 0.6271258899404383662 D2(331,757) = 0.3938891317261533589 C1(331,757) = 0.8005537877331302585 C2(331,757) = 1.469272272839782774 C3(331,757) = 4.085941392411949451 C4(331,757) = 6056 Sum = 5500.997328842789990 Averaged sum = 0.5501547483591149105 logp*logq = 38.46435034981889040 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(331,757) = 0.6271258899404383662 D2(331,757) = 0.3938891317261533589 C1(331,757) = 0.8005537877331302585 C2(331,757) = 1.469272272839782774 C3(331,757) = 4.085941392411949451 C4(331,757) = 6056 Sum = 5500.997328842789990 Averaged sum = 0.5501547483591149105 logp*logq = 38.46435034981889040 -------------- ************************************* p = 331; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52255843641929969.66 -------------- Searches starting with [331,761]-exponents: u = 8, v = 223 n_start has 663 digits --- performed 5000 steps in the continued fraction search [331,761]-exponents: u = 115, v = 109 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(331,761) = 0.5574625251258657727 D2(331,761) = 0.2357042429630095757 C1(331,761) = 0.7343437545469543349 C2(331,761) = 1.453498152379682629 C3(331,761) = 3.636930816810343281 C4(331,761) = 6088 Sum = 5001.242807611931265 Averaged sum = 0.5001742981910122277 logp*logq = 38.49492811953891220 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(331,761) = 0.5574625251258657727 D2(331,761) = 0.2357042429630095757 C1(331,761) = 0.7343437545469543349 C2(331,761) = 1.453498152379682629 C3(331,761) = 3.636930816810343281 C4(331,761) = 6088 Sum = 5001.242807611931265 Averaged sum = 0.5001742981910122277 logp*logq = 38.49492811953891220 -------------- ************************************* p = 331; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55524703249079717.18 -------------- Searches starting with [331,769]-exponents: u = 8, v = 55 n_start has 179 digits starting right neighbors generation We generated 2058 left neighbors We generated 7952 right neighbors We generated 10009 non-negative rho_i D1(331,769) = 0.7207290854513549849 D2(331,769) = 0.01904999630246719993 C1(331,769) = 0.9794564642642087843 C2(331,769) = 1.723984514371361756 C3(331,769) = 5.596284912821396294 C4(331,769) = 6152 Sum = 4259.374227075651228 Averaged sum = 0.4255544237262115324 logp*logq = 38.55560442022087885 -------------- ************************************* p = 331; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57221509864692391.42 -------------- Searches starting with [331,773]-exponents: u = 8, v = 41 n_start has 139 digits starting right neighbors generation We generated 1162 left neighbors We generated 8848 right neighbors We generated 10009 non-negative rho_i D1(331,773) = 0.5791175249804415218 D2(331,773) = 0.04786470125935021320 C1(331,773) = 0.8435891461793850275 C2(331,773) = 1.753616217673109757 C3(331,773) = 4.407104569399181108 C4(331,773) = 6184 Sum = 3832.778154014513950 Averaged sum = 0.3829331755434622789 logp*logq = 38.58570626919417226 -------------- ************************************* p = 331; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63502117794711931.45 -------------- Searches starting with [331,787]-exponents: u = 8, v = 20 n_start has 79 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(331,787) = 0.7869920296595145984 D2(331,787) = 0.03591250268796398689 C1(331,787) = 1.105539345259947528 C2(331,787) = 1.745010484492422044 C3(331,787) = 6.985138366001822446 C4(331,787) = 6296 Sum = 4141.106611973876992 Averaged sum = 0.4137382967303304018 logp*logq = 38.68984965135102142 -------------- ************************************* p = 331; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68328933467845079.58 -------------- Searches starting with [331,797]-exponents: u = 8, v = 13 n_start has 58 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(331,797) = 0.8140664253148324651 D2(331,797) = 0.07487034963159874043 C1(331,797) = 1.207550527783740466 C2(331,797) = 1.902211362747916164 C3(331,797) = 8.357365266218722404 C4(331,797) = 6376 Sum = 4018.619572124664062 Averaged sum = 0.4015006066664665863 logp*logq = 38.76310969503253190 -------------- ************************************* p = 331; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74518062046964052.17 -------------- Searches starting with [331,809]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(331,809) = 0.9605583742772341233 D2(331,809) = 0.07447173772029347761 C1(331,809) = 1.584208523134131558 C2(331,809) = 1.176827227900875323 C3(331,809) = 16.20616947590628414 C4(331,809) = 6472 Sum = 2791.120350991493452 Averaged sum = 0.2788610601450188282 logp*logq = 38.84981793449491295 -------------- ************************************* p = 331; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75593308326906381.65 -------------- Searches starting with [331,811]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(331,811) = 0.6856984967456236851 D2(331,811) = 0.09337585796694551066 C1(331,811) = 1.130893688436218133 C2(331,811) = 1.384094814708686921 C3(331,811) = 7.303570901095451401 C4(331,811) = 6488 Sum = 4017.184954277261579 Averaged sum = 0.4013572738812330482 logp*logq = 38.86414415998420006 -------------- ************************************* p = 331; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81164101270844938.18 -------------- Searches starting with [331,821]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(331,821) = 0.5525252852035962550 D2(331,821) = 0.06208348469736250507 C1(331,821) = 0.7653649099471407930 C2(331,821) = 1.915318985771238542 C3(331,821) = 3.840806057646141006 C4(331,821) = 6568 Sum = 4114.500949453674827 Averaged sum = 0.4110801228348161482 logp*logq = 38.93524944174635928 -------------- ************************************* p = 331; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82318027522282017.92 -------------- Searches starting with [331,823]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(331,823) = 0.5675975661732343398 D2(331,823) = 0.05376518861385137021 C1(331,823) = 0.8123440974483625245 C2(331,823) = 1.907472250908439293 C3(331,823) = 4.171526965401874240 C4(331,823) = 6584 Sum = 3937.747262221913159 Averaged sum = 0.3934206476393159315 logp*logq = 38.94936652504982094 -------------- ************************************* p = 331; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84666640414090375.20 -------------- Searches starting with [331,827]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(331,827) = 0.9868693827584965873 D2(331,827) = 0.03771900358945296242 C1(331,827) = 1.548224695194829444 C2(331,827) = 1.892365710425159673 C3(331,827) = 15.21260566935982933 C4(331,827) = 6616 Sum = 3768.329407072412486 Averaged sum = 0.3764940960208225083 logp*logq = 38.97749806319126536 -------------- ************************************* p = 331; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85861579064294118.66 -------------- Searches starting with [331,829]-exponents: u = 22, v = 6 n_start has 73 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(331,829) = 0.7091325346876372297 D2(331,829) = 0.02996839803448375036 C1(331,829) = 0.9484676933504926168 C2(331,829) = 1.885083199483105193 C3(331,829) = 5.299528194417088943 C4(331,829) = 6632 Sum = 3955.316182091271806 Averaged sum = 0.3951759598452664408 logp*logq = 38.99151284868979129 -------------- ************************************* p = 331; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92047712062519818.45 -------------- Searches starting with [331,839]-exponents: u = 29, v = 6 n_start has 91 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(331,839) = 0.8898500771679925721 D2(331,839) = 0.09238211759011683919 C1(331,839) = 1.201273843753022277 C2(331,839) = 1.838411167106849266 C3(331,839) = 8.265642015655045780 C4(331,839) = 6712 Sum = 4090.402109172747635 Averaged sum = 0.4086724057520978754 logp*logq = 39.06108344690357519 -------------- ************************************* p = 331; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101324211094504866.7 -------------- Searches starting with [331,853]-exponents: u = 50, v = 6 n_start has 144 digits starting right neighbors generation We generated 1113 left neighbors We generated 8897 right neighbors We generated 10009 non-negative rho_i D1(331,853) = 0.5931592952857130378 D2(331,853) = 0.04567825916380385211 C1(331,853) = 0.8511156981188751230 C2(331,853) = 1.717955122701975478 C3(331,853) = 4.465812957015194209 C4(331,853) = 6824 Sum = 4170.968145247569765 Averaged sum = 0.4167217649363142936 logp*logq = 39.15710178150286342 -------------- ************************************* p = 331; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104112271399628795.8 -------------- Searches starting with [331,857]-exponents: u = 71, v = 6 n_start has 197 digits starting right neighbors generation We generated 2349 left neighbors We generated 7661 right neighbors We generated 10009 non-negative rho_i D1(331,857) = 0.7759935919064339953 D2(331,857) = 0.009371338634236217200 C1(331,857) = 1.096066853044602609 C2(331,857) = 1.682496616825223547 C3(331,857) = 6.869766017171468532 C4(331,857) = 6856 Sum = 3810.366360670252608 Averaged sum = 0.3806940114567142180 logp*logq = 39.18424624446440324 -------------- ************************************* p = 331; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105529929764790979.2 -------------- Searches starting with [331,859]-exponents: u = 78, v = 6 n_start has 215 digits starting right neighbors generation We generated 2656 left neighbors We generated 7354 right neighbors We generated 10009 non-negative rho_i D1(331,859) = 0.7601857948380244771 D2(331,859) = 0.02278805933014570600 C1(331,859) = 1.061038053192867442 C2(331,859) = 1.638756600230830964 C3(331,859) = 6.459433383234313289 C4(331,859) = 6872 Sum = 4620.293796634415510 Averaged sum = 0.4616139271290254281 logp*logq = 39.19777100204613938 -------------- ************************************* p = 331; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108413206134428521.6 -------------- Searches starting with [331,863]-exponents: u = 127, v = 6 n_start has 338 digits --- performed 5000 steps in the continued fraction search [331,863]-exponents: u = 9, v = 56 --- starting right neighbors generation We generated 6800 left neighbors We generated 3210 right neighbors We generated 10009 non-negative rho_i D1(331,863) = 0.6235068402350958381 D2(331,863) = 0.01740625849147817125 C1(331,863) = 0.8498119152587148192 C2(331,863) = 1.551468519487895127 C3(331,863) = 4.455587514889179389 C4(331,863) = 6904 Sum = 4432.504383762522394 Averaged sum = 0.4428518716917296827 logp*logq = 39.22472630430420751 -------------- ************************************* p = 331; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119023308824178813.7 -------------- Searches starting with [331,877]-exponents: u = 7, v = 131 n_start has 404 digits --- performed 5000 steps in the continued fraction search [331,877]-exponents: u = 63, v = 45 --- starting right neighbors generation We generated 9866 left neighbors We generated 144 right neighbors We generated 10009 non-negative rho_i D1(331,877) = 0.9396509402890776608 D2(331,877) = 0.009802560213322236038 C1(331,877) = 1.268074952461123777 C2(331,877) = 1.524164051595157097 C3(331,877) = 9.295762570424452844 C4(331,877) = 7016 Sum = 4616.154347793614254 Averaged sum = 0.4612003544603471130 logp*logq = 39.31809574131379744 -------------- ************************************* p = 331; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122207773913121153.4 -------------- Searches starting with [331,881]-exponents: u = 7, v = 77 n_start has 245 digits starting right neighbors generation We generated 3653 left neighbors We generated 6357 right neighbors We generated 10009 non-negative rho_i D1(331,881) = 0.5987703808799034743 D2(331,881) = 0.0001021222855371899323 C1(331,881) = 0.8288989973154958048 C2(331,881) = 1.636484489852399822 C3(331,881) = 4.294732856159438228 C4(331,881) = 7048 Sum = 4370.775999131912344 Averaged sum = 0.4366845837877822303 logp*logq = 39.34449905593506896 -------------- ************************************* p = 331; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 123826253015976513.6 -------------- Searches starting with [331,883]-exponents: u = 7, v = 65 n_start has 210 digits starting right neighbors generation We generated 2561 left neighbors We generated 7449 right neighbors We generated 10009 non-negative rho_i D1(331,883) = 0.5167658816613800187 D2(331,883) = 0.01990096661984340729 C1(331,883) = 0.7223830977760346727 C2(331,883) = 1.656616710205667764 C3(331,883) = 3.561246560059716695 C4(331,883) = 7064 Sum = 4288.308284185391538 Averaged sum = 0.4284452277135969165 logp*logq = 39.35765579258253777 -------------- ************************************* p = 331; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 127116464070392688.3 -------------- Searches starting with [331,887]-exponents: u = 7, v = 47 n_start has 157 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(331,887) = 0.6285244249170225401 D2(331,887) = 0.01731836488278905859 C1(331,887) = 0.8962855521697665105 C2(331,887) = 1.717424547900812266 C3(331,887) = 4.834945956430022528 C4(331,887) = 7096 Sum = 4293.439423615513388 Averaged sum = 0.4289578802693089607 logp*logq = 39.38388010106940562 -------------- ************************************* p = 331; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 144673033356077943.0 -------------- Searches starting with [331,907]-exponents: u = 7, v = 23 n_start has 86 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(331,907) = 0.7362750291294357205 D2(331,907) = 0.07903159166264812690 C1(331,907) = 1.129072302857046099 C2(331,907) = 1.868310488423138471 C3(331,907) = 7.280219340239828181 C4(331,907) = 7256 Sum = 3238.287686123997647 Averaged sum = 0.3235375847860922816 logp*logq = 39.51325264874840702 -------------- ************************************* p = 331; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148414371505989020.3 -------------- Searches starting with [331,911]-exponents: u = 7, v = 17 n_start has 68 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(331,911) = 0.5253368165827079069 D2(331,911) = 0.1041182694439259501 C1(331,911) = 0.7399431416889064830 C2(331,911) = 1.894106490025785737 C3(331,911) = 3.672913129764765528 C4(331,911) = 7288 Sum = 4162.027598088228102 Averaged sum = 0.4158285141460913280 logp*logq = 39.53878456398725264 -------------- ************************************* p = 331; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156137557266955664.4 -------------- Searches starting with [331,919]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(331,919) = 1.090613377723639522 D2(331,919) = 0.1421860336038598621 C1(331,919) = 1.474857002685403099 C2(331,919) = 1.464303873946960663 C3(331,919) = 13.37152750962728807 C4(331,919) = 7352 Sum = 4407.519832506372051 Averaged sum = 0.4403556631537987862 logp*logq = 39.58951379097523818 -------------- ************************************* p = 331; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166256453675961887.0 -------------- Searches starting with [331,929]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(331,929) = 0.6594411426039174426 D2(331,929) = 0.02258316496335529733 C1(331,929) = 0.9514712168027419064 C2(331,929) = 1.945172742499674458 C3(331,929) = 5.327588309173364731 C4(331,929) = 7432 Sum = 4006.312568532356329 Averaged sum = 0.4002710129415882035 logp*logq = 39.65230789279673703 -------------- ************************************* p = 331; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 174737004803896564.9 -------------- Searches starting with [331,937]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(331,937) = 0.6087567854169043052 D2(331,937) = 0.04257794653802930921 C1(331,937) = 0.8883245173071179062 C2(331,937) = 1.966672160292001458 C3(331,937) = 4.767741324926820620 C4(331,937) = 7496 Sum = 3883.200929990575410 Averaged sum = 0.3879709191718029184 logp*logq = 39.70205840876098252 -------------- ************************************* p = 331; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179109653996065506.1 -------------- Searches starting with [331,941]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(331,941) = 0.6507773238561006944 D2(331,941) = 0.05289791432965332690 C1(331,941) = 0.9313907410702250619 C2(331,941) = 1.977739541614465876 C3(331,941) = 5.142774423244738995 C4(331,941) = 7528 Sum = 3536.412612231254307 Averaged sum = 0.3533232702798735445 logp*logq = 39.72677460535024930 -------------- ************************************* p = 331; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 185838163381544990.3 -------------- Searches starting with [331,947]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(331,947) = 0.7327575935257504847 D2(331,947) = 0.06075294032251491833 C1(331,947) = 1.235155871075321931 C2(331,947) = 1.352321454157450056 C3(331,947) = 8.773006550463467638 C4(331,947) = 7576 Sum = 4033.305336140135051 Averaged sum = 0.4029678625377295485 logp*logq = 39.76365260052990671 -------------- ************************************* p = 331; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 192774533460523788.0 -------------- Searches starting with [331,953]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(331,953) = 0.8219425326477049540 D2(331,953) = 0.05436906481885929843 C1(331,953) = 1.385368213435221269 C2(331,953) = 1.281764894485252504 C3(331,953) = 11.42479939552968388 C4(331,953) = 7624 Sum = 3919.461372801946782 Averaged sum = 0.3915937029475418905 logp*logq = 39.80029768050240701 -------------- ************************************* p = 331; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 209796289842756453.7 -------------- Searches starting with [331,967]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(331,967) = 0.8326814201368278166 D2(331,967) = 0.02836059889669726977 C1(331,967) = 1.144754202812990312 C2(331,967) = 1.985025477710937159 C3(331,967) = 7.483744508556637792 C4(331,967) = 7736 Sum = 4337.450056213446719 Averaged sum = 0.4333549861338242300 logp*logq = 39.88491340645891819 -------------- ************************************* p = 331; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 214881776168869688.2 -------------- Searches starting with [331,971]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(331,971) = 1.011969267844828166 D2(331,971) = 0.01694366859063298155 C1(331,971) = 1.368505039070078755 C2(331,971) = 1.974437924460170565 C3(331,971) = 11.09103534839920872 C4(331,971) = 7768 Sum = 4127.891428439424252 Averaged sum = 0.4124179666739358829 logp*logq = 39.90886439351551285 -------------- ************************************* p = 331; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 222701010989373369.4 -------------- Searches starting with [331,977]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(331,977) = 0.6081648126380739729 D2(331,977) = 0.0004616971553437094480 C1(331,977) = 0.8191163204568455798 C2(331,977) = 1.959193542802284573 C3(331,977) = 4.221494559588800424 C4(331,977) = 7816 Sum = 3819.105664292335094 Averaged sum = 0.3815671559888435502 logp*logq = 39.94460650885554553 -------------- ************************************* p = 331; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 230754274741725891.1 -------------- Searches starting with [331,983]-exponents: u = 19, v = 5 n_start has 63 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(331,983) = 0.9892374133501669250 D2(331,983) = 0.1052074564399358034 C1(331,983) = 1.579944190422354264 C2(331,983) = 1.232212120452773804 C3(331,983) = 16.08511569445831245 C4(331,983) = 7864 Sum = 2497.320819614986615 Averaged sum = 0.2495075251888287156 logp*logq = 39.98012979354665082 -------------- ************************************* p = 331; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 241865544667540582.9 -------------- Searches starting with [331,991]-exponents: u = 19, v = 5 n_start has 63 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(331,991) = 0.6012396651303906344 D2(331,991) = 0.1110551028796213474 C1(331,991) = 0.8119342038122964576 C2(331,991) = 1.949691355462873918 C3(331,991) = 4.168521693822472687 C4(331,991) = 7928 Sum = 3861.752830205084509 Averaged sum = 0.3858280377865006003 logp*logq = 40.02715836611684094 -------------- ************************************* p = 331; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 250486474457068124.7 -------------- Searches starting with [331,997]-exponents: u = 19, v = 5 n_start has 63 digits starting right neighbors generation We generated 150 left neighbors We generated 9860 right neighbors We generated 10009 non-negative rho_i D1(331,997) = 0.5841403247825093675 D2(331,997) = 0.07599175587329441624 C1(331,997) = 0.9032473996209303109 C2(331,997) = 1.915795274497003935 C3(331,997) = 4.894491711040582368 C4(331,997) = 7976 Sum = 3998.805787334005026 Averaged sum = 0.3995210098245584001 logp*logq = 40.06218131979450558 -------------- ************************************* p = 337; q = 347; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 609436152737457.3210 -------------- Searches starting with [337,347]-exponents: u = 1, v = 199 n_start has 509 digits starting right neighbors generation We generated 4724 left neighbors We generated 5286 right neighbors We generated 10009 non-negative rho_i D1(337,347) = 0.9849618490654639388 D2(337,347) = 0.005716260512506489080 C1(337,347) = 1.312391813328312936 C2(337,347) = 1.148715140649251928 C3(337,347) = 10.08989819606156739 C4(337,347) = 2776 Sum = 4987.308419989995230 Averaged sum = 0.4982823878499345819 logp*logq = 34.04355530585579966 -------------- ************************************* p = 337; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 630165847327216.2889 -------------- Searches starting with [337,349]-exponents: u = 1, v = 166 n_start has 425 digits starting right neighbors generation We generated 3317 left neighbors We generated 6693 right neighbors We generated 10009 non-negative rho_i D1(337,349) = 0.6431460453688059014 D2(337,349) = 0.004908016837117075666 C1(337,349) = 0.8644798757817565350 C2(337,349) = 1.179044998305071604 C3(337,349) = 4.584224484590511020 C4(337,349) = 2792 Sum = 4812.456542872412319 Averaged sum = 0.4808129226568500668 logp*logq = 34.07700415039573758 -------------- ************************************* p = 337; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 673379782787915.6303 -------------- Searches starting with [337,353]-exponents: u = 1, v = 125 n_start has 321 digits starting right neighbors generation We generated 1911 left neighbors We generated 8099 right neighbors We generated 10009 non-negative rho_i D1(337,353) = 0.5772365687163708315 D2(337,353) = 0.006808848599965688548 C1(337,353) = 0.7874603427780760317 C2(337,353) = 1.233259811295610873 C3(337,353) = 4.002684769910706971 C4(337,353) = 2824 Sum = 4510.749117011890125 Averaged sum = 0.4506693093227984938 logp*logq = 34.14333059961486747 -------------- ************************************* p = 337; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 742782367320878.3592 -------------- Searches starting with [337,359]-exponents: u = 1, v = 92 n_start has 238 digits starting right neighbors generation We generated 1061 left neighbors We generated 8949 right neighbors We generated 10009 non-negative rho_i D1(337,359) = 0.9830983652977955951 D2(337,359) = 0.01959289212384247831 C1(337,359) = 1.365119072804415400 C2(337,359) = 1.308307730824900607 C3(337,359) = 11.07182985881338627 C4(337,359) = 2872 Sum = 4161.155916199378297 Averaged sum = 0.4157414243380335995 logp*logq = 34.24142420700051800 -------------- ************************************* p = 337; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 844440749627855.5523 -------------- Searches starting with [337,367]-exponents: u = 1, v = 68 n_start has 177 digits starting right neighbors generation We generated 593 left neighbors We generated 9417 right neighbors We generated 10009 non-negative rho_i D1(337,367) = 0.6416824078826989880 D2(337,367) = 0.02654342470654520800 C1(337,367) = 0.9086144209408799660 C2(337,367) = 1.382949640647786793 C3(337,367) = 4.954794850314110669 C4(337,367) = 2936 Sum = 3703.603741673761480 Averaged sum = 0.3700273495527786472 logp*logq = 34.36969568941648163 -------------- ************************************* p = 337; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 928022858960474.5533 -------------- Searches starting with [337,373]-exponents: u = 1, v = 57 n_start has 150 digits starting right neighbors generation We generated 443 left neighbors We generated 9567 right neighbors We generated 10009 non-negative rho_i D1(337,373) = 0.5736371804328358250 D2(337,373) = 0.01772706675889414237 C1(337,373) = 0.8224723865473220497 C2(337,373) = 1.418851294424232752 C3(337,373) = 4.257288899816644721 C4(337,373) = 2984 Sum = 4214.895523532574071 Averaged sum = 0.4211105528556872885 logp*logq = 34.46407748091188510 -------------- ************************************* p = 337; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1018342922700911.037 -------------- Searches starting with [337,379]-exponents: u = 1, v = 49 n_start has 129 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(337,379) = 0.6888953400250002449 D2(337,379) = 0.01505179805601996772 C1(337,379) = 0.9518065363887130342 C2(337,379) = 1.455533504486170240 C3(337,379) = 5.346438637728668797 C4(337,379) = 3032 Sum = 4547.097945244774746 Averaged sum = 0.4543009236931536363 logp*logq = 34.55695311554936933 -------------- ************************************* p = 337; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1082507938936544.193 -------------- Searches starting with [337,383]-exponents: u = 1, v = 45 n_start has 119 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(337,383) = 0.8995093293987501128 D2(337,383) = 0.04626907471042249205 C1(337,383) = 1.249048007347709445 C2(337,383) = 1.506704319939061501 C3(337,383) = 9.024710084315193420 C4(337,383) = 3064 Sum = 4797.766787236409131 Averaged sum = 0.4793452679824567020 logp*logq = 34.61805690966887228 -------------- ************************************* p = 337; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1185008498966466.699 -------------- Searches starting with [337,389]-exponents: u = 1, v = 40 n_start has 107 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(337,389) = 0.6583400594365484104 D2(337,389) = 0.01479698671946474493 C1(337,389) = 0.9207512242348077718 C2(337,389) = 1.512792249408999185 C3(337,389) = 5.061852343606162619 C4(337,389) = 3112 Sum = 4481.345412112999903 Averaged sum = 0.4477315827867918776 logp*logq = 34.70852634159566080 -------------- ************************************* p = 337; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1334062781037486.346 -------------- Searches starting with [337,397]-exponents: u = 1, v = 35 n_start has 94 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(337,397) = 0.8296325352184836056 D2(337,397) = 0.04721211279346720774 C1(337,397) = 1.170213565310239484 C2(337,397) = 1.581686418182035928 C3(337,397) = 7.854716138460400589 C4(337,397) = 3176 Sum = 4706.331454749070172 Averaged sum = 0.4702099565140443772 logp*logq = 34.82700540354371570 -------------- ************************************* p = 337; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1414217243670235.881 -------------- Searches starting with [337,401]-exponents: u = 1, v = 33 n_start has 89 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(337,401) = 0.7724988384711346390 D2(337,401) = 0.03613793535031029985 C1(337,401) = 1.093844891606894254 C2(337,401) = 1.591122690724476342 C3(337,401) = 6.866159191178021077 C4(337,401) = 3208 Sum = 4484.477125827968934 Averaged sum = 0.4480444725574951478 logp*logq = 34.88535258825744178 -------------- ************************************* p = 337; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1586522529624778.695 -------------- Searches starting with [337,409]-exponents: u = 1, v = 30 n_start has 81 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(337,409) = 0.8649825782003396917 D2(337,409) = 0.04197735021655735421 C1(337,409) = 1.308645763768200966 C2(337,409) = 1.632026105010206106 C3(337,409) = 10.02354447653430471 C4(337,409) = 3272 Sum = 2420.509911617093885 Averaged sum = 0.2418333411546701854 logp*logq = 35.00032092768599983 -------------- ************************************* p = 337; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1826009677143236.013 -------------- Searches starting with [337,419]-exponents: u = 1, v = 26 n_start has 71 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(337,419) = 0.5812965649206170234 D2(337,419) = 0.04241648756229090731 C1(337,419) = 0.7986953353144721382 C2(337,419) = 1.673674670261298070 C3(337,419) = 4.082680197238136256 C4(337,419) = 3352 Sum = 4330.005738916149575 Averaged sum = 0.4326112237902037741 logp*logq = 35.14090947670974535 -------------- ************************************* p = 337; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1877324856447607.328 -------------- Searches starting with [337,421]-exponents: u = 1, v = 26 n_start has 71 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(337,421) = 0.6665666143316111814 D2(337,421) = 0.09791536924333995309 C1(337,421) = 1.022806955585337462 C2(337,421) = 1.729871957338260511 C3(337,421) = 6.058636244925055691 C4(337,421) = 3368 Sum = 3905.433999575776742 Averaged sum = 0.3901922269533196865 logp*logq = 35.16862420970154966 -------------- ************************************* p = 337; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2152168102889839.415 -------------- Searches starting with [337,431]-exponents: u = 1, v = 23 n_start has 64 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(337,431) = 0.8052400819151856527 D2(337,431) = 0.01667291985354537340 C1(337,431) = 1.134761362443495031 C2(337,431) = 1.697124103067993183 C3(337,431) = 7.379247392056572432 C4(337,431) = 3448 Sum = 4684.038857497227214 Averaged sum = 0.4679827013185360390 logp*logq = 35.30525214888518874 -------------- ************************************* p = 337; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2210946336602152.042 -------------- Searches starting with [337,433]-exponents: u = 1, v = 23 n_start has 64 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(337,433) = 0.5815729976743717081 D2(337,433) = 0.06092419720179875461 C1(337,433) = 0.9039275011936008719 C2(337,433) = 1.742065893888382931 C3(337,433) = 4.914060690749440447 C4(337,433) = 3464 Sum = 4225.336049709689248 Averaged sum = 0.4221536666709650562 logp*logq = 35.33219702539336977 -------------- ************************************* p = 337; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2395315078193569.097 -------------- Searches starting with [337,439]-exponents: u = 1, v = 22 n_start has 61 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(337,439) = 1.191516997884108561 D2(337,439) = 0.07371584889534921120 C1(337,439) = 1.860837569288843160 C2(337,439) = 1.774013780621001116 C3(337,439) = 26.50995209143144593 C4(337,439) = 3512 Sum = 2011.975372838604699 Averaged sum = 0.2010166223237690778 logp*logq = 35.41229117377776829 -------------- ************************************* p = 337; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2525161468592523.540 -------------- Searches starting with [337,443]-exponents: u = 1, v = 21 n_start has 59 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(337,443) = 0.5385431585635238312 D2(337,443) = 0.03026156720416705994 C1(337,443) = 0.7498674123009354814 C2(337,443) = 1.750289694445945111 C3(337,443) = 3.746238816881236336 C4(337,443) = 3544 Sum = 4277.086875849294647 Averaged sum = 0.4273240958986207061 logp*logq = 35.46508140355086001 -------------- ************************************* p = 337; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2730823656332540.197 -------------- Searches starting with [337,449]-exponents: u = 1, v = 20 n_start has 56 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(337,449) = 0.7859878292969562856 D2(337,449) = 0.01648297513045726859 C1(337,449) = 1.062643829270833046 C2(337,449) = 1.758353903741217260 C3(337,449) = 6.499010901695334517 C4(337,449) = 3592 Sum = 4274.068974254809013 Averaged sum = 0.4270225771060854243 logp*logq = 35.54337966421988157 -------------- ************************************* p = 337; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3026445601862192.419 -------------- Searches starting with [337,457]-exponents: u = 1, v = 19 n_start has 54 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(337,457) = 0.7157780117533749179 D2(337,457) = 0.02267028586196154386 C1(337,457) = 1.136652856536807516 C2(337,457) = 1.788691935071663363 C3(337,457) = 7.403872469408250956 C4(337,457) = 3656 Sum = 3893.728566648065642 Averaged sum = 0.3890227362022245620 logp*logq = 35.64616525715598221 -------------- ************************************* p = 337; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3183906366968809.694 -------------- Searches starting with [337,461]-exponents: u = 1, v = 18 n_start has 51 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(337,461) = 0.6944068236463939307 D2(337,461) = 0.09657388392463822420 C1(337,461) = 0.9429996192982318947 C2(337,461) = 1.863930515358179509 C3(337,461) = 5.264145915715481272 C4(337,461) = 3688 Sum = 4208.053303021251495 Averaged sum = 0.4204269460506795380 logp*logq = 35.69688525510137480 -------------- ************************************* p = 337; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3265144646001928.715 -------------- Searches starting with [337,463]-exponents: u = 1, v = 18 n_start has 51 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(337,463) = 0.7871217591815569774 D2(337,463) = 0.1398064818109716075 C1(337,463) = 1.128554694613986092 C2(337,463) = 1.907826248815818396 C3(337,463) = 7.299017571884889382 C4(337,463) = 3704 Sum = 4063.698326809566198 Averaged sum = 0.4060044286951310018 logp*logq = 35.72208045864917777 -------------- ************************************* p = 337; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3432777162612532.171 -------------- Searches starting with [337,467]-exponents: u = 1, v = 17 n_start has 48 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(337,467) = 0.6788937627062324862 D2(337,467) = 0.04261931955850475984 C1(337,467) = 0.9318347421133502354 C2(337,467) = 1.835334068749898547 C3(337,467) = 5.161638423317333323 C4(337,467) = 3736 Sum = 4182.510372630489265 Averaged sum = 0.4178749498082215271 logp*logq = 35.77214599688405201 -------------- ************************************* p = 337; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3979009437726742.728 -------------- Searches starting with [337,479]-exponents: u = 1, v = 16 n_start has 46 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(337,479) = 0.6699711185805614653 D2(337,479) = 0.07071037605603900316 C1(337,479) = 0.9030590597063375793 C2(337,479) = 1.892949171809482449 C3(337,479) = 4.906549896144137637 C4(337,479) = 3832 Sum = 3935.561661313477423 Averaged sum = 0.3932022840756796306 logp*logq = 35.91980929823674102 -------------- ************************************* p = 337; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4381687816323777.442 -------------- Searches starting with [337,487]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(337,487) = 0.6870835534774114880 D2(337,487) = 0.01254796053345052928 C1(337,487) = 0.9602110975561308064 C2(337,487) = 1.865582349028225685 C3(337,487) = 5.426171059308437348 C4(337,487) = 3896 Sum = 4073.660303829989325 Averaged sum = 0.4069997306254360401 logp*logq = 36.01621039126490724 -------------- ************************************* p = 337; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4595337957863062.943 -------------- Searches starting with [337,491]-exponents: u = 1, v = 15 n_start has 43 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(337,491) = 0.6841645038883459078 D2(337,491) = 0.06897563125330670947 C1(337,491) = 1.028802359611163777 C2(337,491) = 1.923294387234070094 C3(337,491) = 6.122953173171838090 C4(337,491) = 3928 Sum = 3612.847673024427776 Averaged sum = 0.3609599033893923245 logp*logq = 36.06381869705901751 -------------- ************************************* p = 337; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5048576366781085.638 -------------- Searches starting with [337,499]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(337,499) = 0.6741025749570324065 D2(337,499) = 0.1429422999302723700 C1(337,499) = 0.9348269369305793972 C2(337,499) = 1.761107558274249878 C3(337,499) = 5.188913078530109311 C4(337,499) = 3992 Sum = 4391.504811529786137 Averaged sum = 0.4387556011119778337 logp*logq = 36.15788269088644390 -------------- ************************************* p = 337; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5288709529330145.187 -------------- Searches starting with [337,503]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(337,503) = 0.7041269245409644913 D2(337,503) = 0.03783809376039746537 C1(337,503) = 1.065293072379737302 C2(337,503) = 1.927294702391793556 C3(337,503) = 6.529407125084589270 C4(337,503) = 4024 Sum = 3525.698285701854845 Averaged sum = 0.3522528010492411674 logp*logq = 36.20435066571518643 -------------- ************************************* p = 337; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5666592236255740.895 -------------- Searches starting with [337,509]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(337,509) = 0.6836482688174983909 D2(337,509) = 0.1010110192217174528 C1(337,509) = 0.9287546030953372599 C2(337,509) = 1.349311419737929443 C3(337,509) = 5.133711872579466866 C4(337,509) = 4072 Sum = 4259.127580235223209 Averaged sum = 0.4255297812204239393 logp*logq = 36.27336431543413103 -------------- ************************************* p = 337; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6489643766753316.163 -------------- Searches starting with [337,521]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(337,521) = 0.6115953301939975779 D2(337,521) = 0.04944292894655298141 C1(337,521) = 0.8980066115921911278 C2(337,521) = 1.979596857836209409 C3(337,521) = 4.863080456125875614 C4(337,521) = 4168 Sum = 3968.092020870551331 Averaged sum = 0.3964523949316166781 logp*logq = 36.40898403455984494 -------------- ************************************* p = 337; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6635983163928082.988 -------------- Searches starting with [337,523]-exponents: u = 1, v = 13 n_start has 38 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(337,523) = 0.7458715133304005260 D2(337,523) = 0.07397664464908232859 C1(337,523) = 1.070802916032370794 C2(337,523) = 2.004744053959173427 C3(337,523) = 6.593080660112054032 C4(337,523) = 4184 Sum = 3776.351099685768829 Averaged sum = 0.3772955439789957867 logp*logq = 36.43128323015430311 -------------- ************************************* p = 337; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8080435127159092.998 -------------- Searches starting with [337,541]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(337,541) = 0.5901418436443871575 D2(337,541) = 0.03928028638921953625 C1(337,541) = 0.8026880986077041609 C2(337,541) = 2.015223367770717722 C3(337,541) = 4.111492888468460100 C4(337,541) = 4328 Sum = 4157.786362756523808 Averaged sum = 0.4154047719808695982 logp*logq = 36.62822211836487726 -------------- ************************************* p = 337; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8616151000960435.132 -------------- Searches starting with [337,547]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(337,547) = 1.124244773553708195 D2(337,547) = 0.05616096844816769152 C1(337,547) = 1.896278390640693849 C2(337,547) = 1.051661794604166924 C3(337,547) = 28.21750827298624696 C4(337,547) = 4376 Sum = 1100.823078106894923 Averaged sum = 0.1099833228201513561 logp*logq = 36.69241486025656193 -------------- ************************************* p = 337; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9574254126619190.008 -------------- Searches starting with [337,557]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(337,557) = 0.8125631351448276028 D2(337,557) = 0.08719453146509252398 C1(337,557) = 1.097813168520566958 C2(337,557) = 1.805097674854091149 C3(337,557) = 6.914317514837796032 C4(337,557) = 4456 Sum = 4211.708549160146429 Averaged sum = 0.4207921419882252402 logp*logq = 36.79785402893997017 -------------- ************************************* p = 337; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10190299740597217.62 -------------- Searches starting with [337,563]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(337,563) = 0.8291470365725700085 D2(337,563) = 0.002431754276096467214 C1(337,563) = 1.233590022061225356 C2(337,563) = 2.030373724705643853 C3(337,563) = 8.782314701129501638 C4(337,563) = 4504 Sum = 4188.973668418063011 Averaged sum = 0.4185206982134142283 logp*logq = 36.86021265688416498 -------------- ************************************* p = 337; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10838816726098258.63 -------------- Searches starting with [337,569]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(337,569) = 1.071072801331825223 D2(337,569) = 0.05685834581064777945 C1(337,569) = 1.473195335377399330 C2(337,569) = 2.086537446549746599 C3(337,569) = 13.39337687229331113 C4(337,569) = 4552 Sum = 5010.670753912504186 Averaged sum = 0.5006165205227799166 logp*logq = 36.92191022685498871 -------------- ************************************* p = 337; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11062435684769800.95 -------------- Searches starting with [337,571]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(337,571) = 0.9224250399142045725 D2(337,571) = 0.04838539610662238838 C1(337,571) = 1.576318902399756691 C2(337,571) = 1.166198519809880793 C3(337,571) = 16.06099009731176868 C4(337,571) = 4568 Sum = 3677.501699616609696 Averaged sum = 0.3674194924184843337 logp*logq = 36.94233159142171324 -------------- ************************************* p = 337; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11756342171696965.37 -------------- Searches starting with [337,577]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(337,577) = 0.5591912776604886401 D2(337,577) = 0.07075015909275917802 C1(337,577) = 0.7902458583680648199 C2(337,577) = 1.829329363355511836 C3(337,577) = 4.022370870140794089 C4(337,577) = 4616 Sum = 4266.363637252890062 Averaged sum = 0.4262527362626526188 logp*logq = 37.00316924917656123 -------------- ************************************* p = 337; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12992817951712052.71 -------------- Searches starting with [337,587]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(337,587) = 0.8760512324547539406 D2(337,587) = 0.05717871900910901602 C1(337,587) = 1.368159219809928108 C2(337,587) = 1.675999623823110044 C3(337,587) = 11.13127469959649814 C4(337,587) = 4696 Sum = 3181.001401282982873 Averaged sum = 0.3178141074316098385 logp*logq = 37.10317313445414441 -------------- ************************************* p = 337; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13785048098729675.60 -------------- Searches starting with [337,593]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(337,593) = 0.7972201658568599673 D2(337,593) = 0.04980553426524204322 C1(337,593) = 1.094245817296438539 C2(337,593) = 1.583371567142761082 C3(337,593) = 6.871009484630683331 C4(337,593) = 4744 Sum = 4321.538597828856531 Averaged sum = 0.4317652710389505976 logp*logq = 37.16236092858816912 -------------- ************************************* p = 337; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14616871846187526.25 -------------- Searches starting with [337,599]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(337,599) = 0.6474513748104044672 D2(337,599) = 0.02515344046223048074 C1(337,599) = 0.8650062492283719796 C2(337,599) = 2.116236383205736811 C3(337,599) = 4.588476531989121752 C4(337,599) = 4792 Sum = 3807.658693799865946 Averaged sum = 0.3804234882405700815 logp*logq = 37.22095286232969233 -------------- ************************************* p = 337; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14903212024255375.75 -------------- Searches starting with [337,601]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(337,601) = 0.8021653390422710137 D2(337,601) = 0.03494368075801858732 C1(337,601) = 1.391510256141818931 C2(337,601) = 1.248433033995664065 C3(337,601) = 11.59863253361117857 C4(337,601) = 4808 Sum = 4157.451374993536960 Averaged sum = 0.4153713033263599720 logp*logq = 37.24035315672744906 -------------- ************************************* p = 337; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15790249520901259.85 -------------- Searches starting with [337,607]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(337,607) = 0.7404076508943023532 D2(337,607) = 0.04720568002557412112 C1(337,607) = 1.024836115422922934 C2(337,607) = 1.854832927828176367 C3(337,607) = 6.080328483016696325 C4(337,607) = 4856 Sum = 4031.933355878462804 Averaged sum = 0.4028307878787554006 logp*logq = 37.29816902551704271 -------------- ************************************* p = 337; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16720571864665091.39 -------------- Searches starting with [337,613]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(337,613) = 0.8190222782221989564 D2(337,613) = 0.04251847019521648150 C1(337,613) = 1.121401920316356314 C2(337,613) = 1.851963560335384141 C3(337,613) = 7.207639280591333511 C4(337,613) = 4904 Sum = 4231.213706959054800 Averaged sum = 0.4227409038824113098 logp*logq = 37.35541620441447367 -------------- ************************************* p = 337; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17365650412605975.84 -------------- Searches starting with [337,617]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(337,617) = 0.7803557825125019955 D2(337,617) = 0.03945067522241710010 C1(337,617) = 1.089732297572460547 C2(337,617) = 1.850097605761483678 C3(337,617) = 6.816603373039708378 C4(337,617) = 4936 Sum = 4475.139986282594024 Averaged sum = 0.4471115981898885027 logp*logq = 37.39327053578138748 -------------- ************************************* p = 337; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17695836344769207.49 -------------- Searches starting with [337,619]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(337,619) = 0.9529708386749207054 D2(337,619) = 0.03793339244094164702 C1(337,619) = 1.342947319592181563 C2(337,619) = 1.849178266353204486 C3(337,619) = 10.64779258114142347 C4(337,619) = 4952 Sum = 4939.013906039185432 Averaged sum = 0.4934572790527710492 logp*logq = 37.41210577205963131 -------------- ************************************* p = 337; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19788053606965298.77 -------------- Searches starting with [337,631]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(337,631) = 0.5844793672493593299 D2(337,631) = 0.02517888233756929100 C1(337,631) = 0.8251930358351209135 C2(337,631) = 1.597992030935011765 C3(337,631) = 4.277738440821851761 C4(337,631) = 5048 Sum = 4149.041378132693844 Averaged sum = 0.4145310598593959281 logp*logq = 37.52385479733682493 -------------- ************************************* p = 337; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21684354845944606.68 -------------- Searches starting with [337,641]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(337,641) = 0.8312080278351022200 D2(337,641) = 0.008504384449459265489 C1(337,641) = 1.467182626679592032 C2(337,641) = 2.173600071155615189 C3(337,641) = 13.25228579558453853 C4(337,641) = 5128 Sum = 4088.051148606770543 Averaged sum = 0.4084375210916945292 logp*logq = 37.61536742058848627 -------------- ************************************* p = 337; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22081102225865645.15 -------------- Searches starting with [337,643]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(337,643) = 1.278453255904801819 D2(337,643) = 0.01111992785353764499 C1(337,643) = 2.256419781704212391 C2(337,643) = 0.9958706141519147515 C3(337,643) = 53.21098734524766416 C4(337,643) = 5144 Sum = 798.6484426872107824 Averaged sum = 0.07979303054123396767 logp*logq = 37.63349853472334776 -------------- ************************************* p = 337; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22892647589421734.94 -------------- Searches starting with [337,647]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(337,647) = 0.9847715588737576241 D2(337,647) = 0.01822671775293888278 C1(337,647) = 1.341676783230440131 C2(337,647) = 1.884707880814035662 C3(337,647) = 10.62399144164061087 C4(337,647) = 5176 Sum = 4698.614405350109022 Averaged sum = 0.4694389454840752344 logp*logq = 37.66959218795405135 -------------- ************************************* p = 337; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24156174419213199.57 -------------- Searches starting with [337,653]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(337,653) = 0.9254544696927465644 D2(337,653) = 0.01404073735735218839 C1(337,653) = 1.344285829245992453 C2(337,653) = 1.882266966612435583 C3(337,653) = 10.67292475390873398 C4(337,653) = 5224 Sum = 4896.989184511870994 Averaged sum = 0.4892585857240354674 logp*logq = 37.72331641186401937 -------------- ************************************* p = 337; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25476917697067214.51 -------------- Searches starting with [337,659]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(337,659) = 0.7739172268551924884 D2(337,659) = 0.009934655929425753039 C1(337,659) = 1.017237956999502330 C2(337,659) = 1.879889669364024588 C3(337,659) = 5.999499053407804391 C4(337,659) = 5272 Sum = 3213.433895464163597 Averaged sum = 0.3210544405499214304 logp*logq = 37.77654924879439085 -------------- ************************************* p = 337; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25930230331239885.71 -------------- Searches starting with [337,661]-exponents: u = 10, v = 8 n_start has 48 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(337,661) = 0.5910989482733401232 D2(337,661) = 0.008583201676011157600 C1(337,661) = 0.8143503211250492354 C2(337,661) = 1.879110910095268730 C3(337,661) = 4.196819755966079331 C4(337,661) = 5288 Sum = 4045.122403512832216 Averaged sum = 0.4041485066952574899 logp*logq = 37.79418587723090338 -------------- ************************************* p = 337; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28792687393583862.85 -------------- Searches starting with [337,673]-exponents: u = 19, v = 8 n_start has 71 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(337,673) = 0.6274832970211316131 D2(337,673) = 0.0005930476258312043149 C1(337,673) = 0.8612689475193658430 C2(337,673) = 1.715053557663980501 C3(337,673) = 4.558371784699279065 C4(337,673) = 5384 Sum = 4080.519254476726780 Averaged sum = 0.4076850089396270137 logp*logq = 37.89889783986699307 -------------- ************************************* p = 337; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29803055631186965.74 -------------- Searches starting with [337,677]-exponents: u = 19, v = 8 n_start has 71 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(337,677) = 0.7608056849318814637 D2(337,677) = 0.1082310512170548339 C1(337,677) = 1.162962509603586533 C2(337,677) = 1.823126308854105087 C3(337,677) = 7.755038364878615087 C4(337,677) = 5416 Sum = 3593.063225421108921 Averaged sum = 0.3589832376282454712 logp*logq = 37.93338732112468097 -------------- ************************************* p = 337; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31373542190031034.99 -------------- Searches starting with [337,683]-exponents: u = 37, v = 8 n_start has 117 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(337,683) = 0.6421319559609828804 D2(337,683) = 0.06776919811180504221 C1(337,683) = 0.9553476975733515638 C2(337,683) = 1.784283927762290833 C3(337,683) = 5.379889111073488991 C4(337,683) = 5464 Sum = 3591.950381932647538 Averaged sum = 0.3588720533452540252 logp*logq = 37.98474132722038936 -------------- ************************************* p = 337; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33573584751154191.59 -------------- Searches starting with [337,691]-exponents: u = 82, v = 8 n_start has 230 digits starting right neighbors generation We generated 3627 left neighbors We generated 6383 right neighbors We generated 10009 non-negative rho_i D1(337,691) = 0.5537680678507705224 D2(337,691) = 0.02077051835648962159 C1(337,691) = 0.8981201966660899902 C2(337,691) = 1.739422235143640928 C3(337,691) = 4.864053456653421476 C4(337,691) = 5528 Sum = 3959.199336803425083 Averaged sum = 0.3955639261468103789 logp*logq = 38.05251598456721407 -------------- ************************************* p = 337; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36501848729116530.37 -------------- Searches starting with [337,701]-exponents: u = 9, v = 143 n_start has 430 digits starting right neighbors generation We generated 4315 left neighbors We generated 5695 right neighbors We generated 10009 non-negative rho_i D1(337,701) = 0.7196509491505959599 D2(337,701) = 0.00001131566970225162190 C1(337,701) = 1.187711570392097186 C2(337,701) = 1.253951653354197309 C3(337,701) = 8.100563471390012403 C4(337,701) = 5608 Sum = 4349.956305568593513 Averaged sum = 0.4346044865189922583 logp*logq = 38.13613930432923908 -------------- ************************************* p = 337; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38993973648553769.65 -------------- Searches starting with [337,709]-exponents: u = 9, v = 39 n_start has 134 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(337,709) = 0.5788018990192038135 D2(337,709) = 0.02914578051405383252 C1(337,709) = 0.7822604834933256845 C2(337,709) = 1.548446568384116108 C3(337,709) = 3.966193191493936783 C4(337,709) = 5672 Sum = 4085.922393097025947 Averaged sum = 0.4082248369564417971 logp*logq = 38.20218350726864881 -------------- ************************************* p = 337; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42305716187810097.67 -------------- Searches starting with [337,719]-exponents: u = 9, v = 23 n_start has 89 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(337,719) = 0.6867599722106213494 D2(337,719) = 0.07491518823898345748 C1(337,719) = 1.058043390684902245 C2(337,719) = 1.723159796689651313 C3(337,719) = 6.446563364548150249 C4(337,719) = 5752 Sum = 3770.118231664538839 Averaged sum = 0.3766728176305863562 logp*logq = 38.28369860629667411 -------------- ************************************* p = 337; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45119842943827793.18 -------------- Searches starting with [337,727]-exponents: u = 9, v = 15 n_start has 66 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(337,727) = 0.8211606600157724958 D2(337,727) = 0.1212334259965090831 C1(337,727) = 1.174409431397743835 C2(337,727) = 1.878427195328208578 C3(337,727) = 7.912979399045479688 C4(337,727) = 5816 Sum = 3985.326273705523400 Averaged sum = 0.3981742705270779698 logp*logq = 38.34809852123955006 -------------- ************************************* p = 337; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47330679179444946.85 -------------- Searches starting with [337,733]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(337,733) = 0.9013734647354457729 D2(337,733) = 0.09850167662761467047 C1(337,733) = 1.461727370472277248 C2(337,733) = 1.209110535334311650 C3(337,733) = 13.12556202495159752 C4(337,733) = 5864 Sum = 2974.444305461404255 Averaged sum = 0.2971769712719956294 logp*logq = 38.39593508859795078 -------------- ************************************* p = 337; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49630486132823516.47 -------------- Searches starting with [337,739]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(337,739) = 0.8093370516310302453 D2(337,739) = 0.1090917624814571392 C1(337,739) = 1.096571226922257289 C2(337,739) = 1.885660288110893782 C3(337,739) = 6.899209322887960735 C4(337,739) = 5912 Sum = 4123.917232326254295 Averaged sum = 0.4120209044186486457 logp*logq = 38.44338167960257273 -------------- ************************************* p = 337; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51214506024003024.39 -------------- Searches starting with [337,743]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(337,743) = 0.6314030221434338286 D2(337,743) = 0.08602272938595245127 C1(337,743) = 0.8773453713138779875 C2(337,743) = 1.863606800800874266 C3(337,743) = 4.689289758246607638 C4(337,743) = 5944 Sum = 4043.077799770234504 Averaged sum = 0.4039442301698705668 logp*logq = 38.47479920760970304 -------------- ************************************* p = 337; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54508334351616758.76 -------------- Searches starting with [337,751]-exponents: u = 25, v = 7 n_start has 84 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(337,751) = 1.019165790983155593 D2(337,751) = 0.04439389451307476134 C1(337,751) = 1.374186406222020284 C2(337,751) = 1.823992521994782384 C3(337,751) = 11.25007120408501573 C4(337,751) = 6008 Sum = 4087.548050168554659 Averaged sum = 0.4083872564860180496 logp*logq = 38.53713000877109492 -------------- ************************************* p = 337; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57092200607840507.94 -------------- Searches starting with [337,757]-exponents: u = 41, v = 7 n_start has 124 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(337,757) = 0.6162785272442206740 D2(337,757) = 0.01627072103910933083 C1(337,757) = 0.9085740026676120845 C2(337,757) = 1.797366029110373431 C3(337,757) = 4.954442134535568204 C4(337,757) = 6056 Sum = 3675.368179045707241 Averaged sum = 0.3672063322055856970 logp*logq = 38.58344391043649331 -------------- ************************************* p = 337; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58870490818091385.22 -------------- Searches starting with [337,761]-exponents: u = 49, v = 7 n_start has 145 digits starting right neighbors generation We generated 1226 left neighbors We generated 8784 right neighbors We generated 10009 non-negative rho_i D1(337,761) = 0.7462934119178442034 D2(337,761) = 0.04722310982597564406 C1(337,761) = 1.071411776049712768 C2(337,761) = 1.726197334997640068 C3(337,761) = 6.600154832617516248 C4(337,761) = 6088 Sum = 4544.214021119632789 Averaged sum = 0.4540127906004228983 logp*logq = 38.61411635523716989 -------------- ************************************* p = 337; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62564881816748695.84 -------------- Searches starting with [337,769]-exponents: u = 145, v = 7 n_start has 387 digits --- performed 5000 steps in the continued fraction search [337,769]-exponents: u = 7, v = 87 --- starting right neighbors generation We generated 9946 left neighbors We generated 64 right neighbors We generated 10009 non-negative rho_i D1(337,769) = 0.6269454931358306387 D2(337,769) = 0.001189554344374690493 C1(337,769) = 0.8488276053243043741 C2(337,769) = 1.610574347630348768 C3(337,769) = 4.459570132155376010 C4(337,769) = 6152 Sum = 4584.482514961630610 Averaged sum = 0.4580360190789919682 logp*logq = 38.67498052225842475 -------------- ************************************* p = 337; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64482842318768548.52 -------------- Searches starting with [337,773]-exponents: u = 761, v = 7 n_start has 1944 digits --- performed 5000 steps in the continued fraction search [337,773]-exponents: u = 365, v = 347 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(337,773) = 0.7026910976023981315 D2(337,773) = 0.4639665582604921023 C1(337,773) = 0.8892364513680170515 C2(337,773) = 1.504070116002424765 C3(337,773) = 4.788537615662273166 C4(337,773) = 6184 Sum = 5644.826423363674124 Averaged sum = 0.5645390962459920116 logp*logq = 38.70517557276359896 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(337,773) = 0.7026910976023981315 D2(337,773) = 0.4639665582604921023 C1(337,773) = 0.8892364513680170515 C2(337,773) = 1.504070116002424765 C3(337,773) = 4.788537615662273166 C4(337,773) = 6184 Sum = 5644.826423363674124 Averaged sum = 0.5645390962459920116 logp*logq = 38.70517557276359896 -------------- ************************************* p = 337; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71583529271545598.19 -------------- Searches starting with [337,787]-exponents: u = 8, v = 48 n_start has 160 digits starting right neighbors generation We generated 1582 left neighbors We generated 8428 right neighbors We generated 10009 non-negative rho_i D1(337,787) = 0.6075983428805236910 D2(337,787) = 0.03212475041704249137 C1(337,787) = 0.8746578632813843077 C2(337,787) = 1.740451587318988449 C3(337,787) = 4.667145237680354339 C4(337,787) = 6296 Sum = 3672.200701264654216 Averaged sum = 0.3668898692441456905 logp*logq = 38.80964140430755644 -------------- ************************************* p = 337; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77042088874783771.46 -------------- Searches starting with [337,797]-exponents: u = 8, v = 27 n_start has 99 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(337,797) = 0.7065915916353403716 D2(337,797) = 0.01432434085508375321 C1(337,797) = 0.9509164946095873103 C2(337,797) = 1.646842050956480022 C3(337,797) = 5.338063893967038749 C4(337,797) = 6376 Sum = 3866.939901671794166 Averaged sum = 0.3863462785165145535 logp*logq = 38.88312827619164108 -------------- ************************************* p = 337; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84043001235986660.00 -------------- Searches starting with [337,809]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(337,809) = 0.6376036660860037168 D2(337,809) = 0.05698724740442362273 C1(337,809) = 0.8683201819473411247 C2(337,809) = 1.886482836996870637 C3(337,809) = 4.615337223757244295 C4(337,809) = 6472 Sum = 4139.180261788575950 Averaged sum = 0.4135458349274229144 logp*logq = 38.97010498224395655 -------------- ************************************* p = 337; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85259467845734605.81 -------------- Searches starting with [337,811]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(337,811) = 0.6939300581044977228 D2(337,811) = 0.06420305413703451042 C1(337,811) = 0.9912496145685859383 C2(337,811) = 1.894120078756536768 C3(337,811) = 5.731070459856408229 C4(337,811) = 6488 Sum = 3937.035756121856245 Averaged sum = 0.3933495610072790733 logp*logq = 38.98447556468164428 -------------- ************************************* p = 337; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91562757193660678.48 -------------- Searches starting with [337,821]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(337,821) = 0.6063543791564580728 D2(337,821) = 0.1023577859055235854 C1(337,821) = 1.000834536474064964 C2(337,821) = 1.934366218727930506 C3(337,821) = 5.828644051217348936 C4(337,821) = 6568 Sum = 3882.197571541990393 Averaged sum = 0.3878706735480058341 logp*logq = 39.05580100305913063 -------------- ************************************* p = 337; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92868582356311809.70 -------------- Searches starting with [337,823]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(337,823) = 0.8008715644828534405 D2(337,823) = 0.08705220307022303929 C1(337,823) = 1.066358487709532057 C2(337,823) = 1.319195532378053258 C3(337,823) = 6.541671266528303192 C4(337,823) = 6584 Sum = 4011.343841128872461 Averaged sum = 0.4007736877938727606 logp*logq = 39.06996179576365728 -------------- ************************************* p = 337; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95526532873764275.62 -------------- Searches starting with [337,827]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(337,827) = 0.7795741880526024360 D2(337,827) = 0.08481769623514271345 C1(337,827) = 1.286608854225720519 C2(337,827) = 1.306875562613677075 C3(337,827) = 9.641944932224559275 C4(337,827) = 6616 Sum = 3913.596437292302972 Averaged sum = 0.3910077367661407705 logp*logq = 39.09818043494833901 -------------- ************************************* p = 337; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96878945850319173.29 -------------- Searches starting with [337,829]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(337,829) = 0.6807686603273246247 D2(337,829) = 0.1009737592110856769 C1(337,829) = 0.9348850123002437998 C2(337,829) = 1.463085049589577089 C3(337,829) = 5.189443874361742684 C4(337,829) = 6632 Sum = 4291.181694853239272 Averaged sum = 0.4287323104059585645 logp*logq = 39.11223861311283049 -------------- ************************************* p = 337; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103881229379286398.7 -------------- Searches starting with [337,839]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(337,839) = 0.8358956403236211244 D2(337,839) = 0.05806799631665165946 C1(337,839) = 1.127815335118643380 C2(337,839) = 1.914650448650530975 C3(337,839) = 7.289518651910150767 C4(337,839) = 6712 Sum = 3963.756443135128905 Averaged sum = 0.3960192270092046064 logp*logq = 39.18202461624520065 -------------- ************************************* p = 337; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114384301913954629.5 -------------- Searches starting with [337,853]-exponents: u = 22, v = 6 n_start has 74 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(337,853) = 0.8019498118687139689 D2(337,853) = 0.005297294198281252349 C1(337,853) = 1.103033541699423355 C2(337,853) = 1.865085033173962730 C3(337,853) = 6.978185897634413775 C4(337,853) = 6824 Sum = 4319.210730588948394 Averaged sum = 0.4315326936346236781 logp*logq = 39.27834024340885050 -------------- ************************************* p = 337; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117541605034954062.1 -------------- Searches starting with [337,857]-exponents: u = 29, v = 6 n_start has 91 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(337,857) = 0.7834917733774597302 D2(337,857) = 0.08901097960713738577 C1(337,857) = 1.070259204441493593 C2(337,857) = 1.838170472942080245 C3(337,857) = 6.586769837693482595 C4(337,857) = 6856 Sum = 4134.380212011803472 Averaged sum = 0.4130662615657711532 logp*logq = 39.30556875122532072 -------------- ************************************* p = 337; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119147114911821147.3 -------------- Searches starting with [337,859]-exponents: u = 29, v = 6 n_start has 91 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(337,859) = 0.6784517137825995523 D2(337,859) = 0.07395395256084221180 C1(337,859) = 0.9647133304297892501 C2(337,859) = 1.823549164215002796 C3(337,859) = 5.469370828957559533 C4(337,859) = 6872 Sum = 4202.693189894280960 Averaged sum = 0.4198914167143851494 logp*logq = 39.31913538424554081 -------------- ************************************* p = 337; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122412654450445343.2 -------------- Searches starting with [337,863]-exponents: u = 36, v = 6 n_start has 109 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(337,863) = 0.5656397715415088217 D2(337,863) = 0.04581208792092889335 C1(337,863) = 0.7642074356801272889 C2(337,863) = 1.796275668333938105 C3(337,863) = 3.842063706310628656 C4(337,863) = 6904 Sum = 4016.186000603140183 Averaged sum = 0.4012574683388090901 logp*logq = 39.34617414567799357 -------------- ************************************* p = 337; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134431702074969263.2 -------------- Searches starting with [337,877]-exponents: u = 78, v = 6 n_start has 215 digits starting right neighbors generation We generated 2656 left neighbors We generated 7354 right neighbors We generated 10009 non-negative rho_i D1(337,877) = 0.6131474690630207611 D2(337,877) = 0.02375915686811113392 C1(337,877) = 0.8562357291457204229 C2(337,877) = 1.642606491925987864 C3(337,877) = 4.518140043910174950 C4(337,877) = 7016 Sum = 4378.613948863758045 Averaged sum = 0.4374676739797939899 logp*logq = 39.43983267371876441 -------------- ************************************* p = 337; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138039702566413253.2 -------------- Searches starting with [337,881]-exponents: u = 120, v = 6 n_start has 321 digits --- performed 5000 steps in the continued fraction search [337,881]-exponents: u = 33, v = 23 --- starting right neighbors generation We generated 6283 left neighbors We generated 3727 right neighbors We generated 10009 non-negative rho_i D1(337,881) = 0.6321235065526021637 D2(337,881) = 0.001190961549124126971 C1(337,881) = 0.8619604280318488494 C2(337,881) = 1.575306450869635378 C3(337,881) = 4.563926874650420625 C4(337,881) = 7048 Sum = 4468.413448464621785 Averaged sum = 0.4464395492521352568 logp*logq = 39.46631773844686879 -------------- ************************************* p = 337; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139873552234290394.4 -------------- Searches starting with [337,883]-exponents: u = 162, v = 6 n_start has 428 digits --- performed 5000 steps in the continued fraction search [337,883]-exponents: u = 86, v = 36 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(337,883) = 0.5248439018285248311 D2(337,883) = 0.03304641444045363565 C1(337,883) = 0.7396682395275544424 C2(337,883) = 1.488398321295688585 C3(337,883) = 3.679542425266874167 C4(337,883) = 7064 Sum = 4668.256159345989800 Averaged sum = 0.4668723031649154716 logp*logq = 39.47951521106411753 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(337,883) = 0.5248439018285248311 D2(337,883) = 0.03304641444045363565 C1(337,883) = 0.7396682395275544424 C2(337,883) = 1.488398321295688585 C3(337,883) = 3.679542425266874167 C4(337,883) = 7064 Sum = 4668.256159345989800 Averaged sum = 0.4668723031649154716 logp*logq = 39.47951521106411753 -------------- ************************************* p = 337; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 143601818546564543.8 -------------- Searches starting with [337,887]-exponents: u = 498, v = 6 n_start has 1277 digits --- performed 5000 steps in the continued fraction search [337,887]-exponents: u = 92, v = 344 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(337,887) = 0.5974067940695834829 D2(337,887) = 0.3451785536155411541 C1(337,887) = 0.7668302382169008370 C2(337,887) = 1.462118775784816487 C3(337,887) = 3.859853486630270187 C4(337,887) = 7096 Sum = 5385.638879843432129 Averaged sum = 0.5386177497593191448 logp*logq = 39.50582071541791233 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(337,887) = 0.5974067940695834829 D2(337,887) = 0.3451785536155411541 C1(337,887) = 0.7668302382169008370 C2(337,887) = 1.462118775784816487 C3(337,887) = 3.859853486630270187 C4(337,887) = 7096 Sum = 5385.638879843432129 Averaged sum = 0.5386177497593191448 logp*logq = 39.50582071541791233 -------------- ************************************* p = 337; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 163500726258005649.4 -------------- Searches starting with [337,907]-exponents: u = 7, v = 47 n_start has 157 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(337,907) = 0.6182447115282550183 D2(337,907) = 0.02532790012205569331 C1(337,907) = 0.8899832937672243163 C2(337,907) = 1.728649732745757459 C3(337,907) = 4.794840719386123619 C4(337,907) = 7256 Sum = 3371.254315070062278 Averaged sum = 0.3368222914447059924 logp*logq = 39.63559382718311662 -------------- ************************************* p = 337; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167742220561793162.3 -------------- Searches starting with [337,911]-exponents: u = 7, v = 35 n_start has 122 digits starting right neighbors generation We generated 742 left neighbors We generated 9268 right neighbors We generated 10009 non-negative rho_i D1(337,911) = 0.6066885843498538025 D2(337,911) = 0.05744348429358293761 C1(337,911) = 0.8827190472907977222 C2(337,911) = 1.761437432354515047 C3(337,911) = 4.733883336264504063 C4(337,911) = 7288 Sum = 4016.508807867700388 Averaged sum = 0.4012897200387351771 logp*logq = 39.66120479449661128 -------------- ************************************* p = 337; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 176498908941874357.5 -------------- Searches starting with [337,919]-exponents: u = 7, v = 29 n_start has 104 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(337,919) = 0.9240703695395190777 D2(337,919) = 0.03721478848336089646 C1(337,919) = 1.385621616142291098 C2(337,919) = 1.828342501310453661 C3(337,919) = 11.47895614991522519 C4(337,919) = 7352 Sum = 3087.911090914416675 Averaged sum = 0.3085134469891514312 logp*logq = 39.71209108963249045 -------------- ************************************* p = 337; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187973918163293791.9 -------------- Searches starting with [337,929]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(337,929) = 0.6688085434277261640 D2(337,929) = 0.09434094080347334797 C1(337,929) = 0.9023769783666088306 C2(337,929) = 1.887212828608547830 C3(337,929) = 4.900658903841470575 C4(337,929) = 7432 Sum = 3985.236737178129792 Averaged sum = 0.3981653249253801371 logp*logq = 39.77507961494232834 -------------- ************************************* p = 337; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 197592686670618103.0 -------------- Searches starting with [337,937]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(337,937) = 0.7183040558814550950 D2(337,937) = 0.1479002118828444811 C1(337,937) = 1.001596797963825682 C2(337,937) = 1.942153745737365510 C3(337,937) = 5.836474740600475392 C4(337,937) = 7496 Sum = 3999.856250372636788 Averaged sum = 0.3996259616717590956 logp*logq = 39.82498416876331285 -------------- ************************************* p = 337; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 202552780470470735.6 -------------- Searches starting with [337,941]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 240 left neighbors We generated 9770 right neighbors We generated 10009 non-negative rho_i D1(337,941) = 1.180997431045789990 D2(337,941) = 0.002974467575236986435 C1(337,941) = 1.875361729443052411 C2(337,941) = 1.798767855429538360 C3(337,941) = 27.19686820492762315 C4(337,941) = 7528 Sum = 3042.282551393289228 Averaged sum = 0.3039546959130072162 logp*logq = 39.84977689179407598 -------------- ************************************* p = 337; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 210185962366449306.1 -------------- Searches starting with [337,947]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(337,947) = 0.5428933787041902889 D2(337,947) = 0.01721987702700008890 C1(337,947) = 0.7406100139624888075 C2(337,947) = 1.942743800191125921 C3(337,947) = 3.685650971567991850 C4(337,947) = 7576 Sum = 4143.349623198257873 Averaged sum = 0.4139623961632788364 logp*logq = 39.88676906885161359 -------------- ************************************* p = 337; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 218055848255529883.4 -------------- Searches starting with [337,953]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(337,953) = 0.9577539814697895011 D2(337,953) = 0.03164695658474406389 C1(337,953) = 1.440208532396926929 C2(337,953) = 1.958278840503030503 C3(337,953) = 12.63739387583118783 C4(337,953) = 7624 Sum = 3637.831719546762869 Averaged sum = 0.3634560614993268926 logp*logq = 39.92352760954848207 -------------- ************************************* p = 337; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 237372094357520582.8 -------------- Searches starting with [337,967]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(337,967) = 0.7122376952451898212 D2(337,967) = 0.06154692113196172083 C1(337,967) = 1.201434467340659363 C2(337,967) = 1.370262950964762278 C3(337,967) = 8.298742200034425680 C4(337,967) = 7736 Sum = 4021.953161235776822 Averaged sum = 0.4018336658243357800 logp*logq = 40.00840532324160535 -------------- ************************************* p = 337; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 243144051586169382.7 -------------- Searches starting with [337,971]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(337,971) = 1.750902864983065321 D2(337,971) = 0.04394272380585740991 C1(337,971) = 2.953223142457768969 C2(337,971) = 1.134441961711287198 C3(337,971) = 181.5542985573463770 C4(337,971) = 7768 Sum = 3657.078725874389600 Averaged sum = 0.3653790314591257468 logp*logq = 40.03243046749318536 -------------- ************************************* p = 337; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 252019597635432977.1 -------------- Searches starting with [337,977]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(337,977) = 0.6147455978742755895 D2(337,977) = 0.05942052172247990514 C1(337,977) = 0.8514313230264117143 C2(337,977) = 2.017204265178683300 C3(337,977) = 4.480068534695111308 C4(337,977) = 7816 Sum = 3838.052839515715962 Averaged sum = 0.3834601697987527187 logp*logq = 40.06828324779287905 -------------- ************************************* p = 337; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 261161796439560550.9 -------------- Searches starting with [337,983]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(337,983) = 0.6613015991537162824 D2(337,983) = 0.04129181117233721375 C1(337,983) = 0.9126129715319767173 C2(337,983) = 2.000305154211751799 C3(337,983) = 4.989813176797747093 C4(337,983) = 7864 Sum = 4105.387934223467040 Averaged sum = 0.4101696407456755960 logp*logq = 40.10391651989883005 -------------- ************************************* p = 337; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 273777109870278943.5 -------------- Searches starting with [337,991]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(337,991) = 0.7225405202550992700 D2(337,991) = 0.01849076618048894791 C1(337,991) = 1.089741351100140272 C2(337,991) = 1.979131785640013933 C3(337,991) = 6.816712072211379041 C4(337,991) = 7928 Sum = 3474.242719436567318 Averaged sum = 0.3471118712595231610 logp*logq = 40.15109070262770504 -------------- ************************************* p = 337; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 283566226675839351.6 -------------- Searches starting with [337,997]-exponents: u = 13, v = 5 n_start has 48 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(337,997) = 0.6083308635894153053 D2(337,997) = 0.002287084378383694985 C1(337,997) = 0.8605325746617518406 C2(337,997) = 1.964140138437085742 C3(337,997) = 4.552463480835655571 C4(337,997) = 7976 Sum = 4145.795983767990302 Averaged sum = 0.4142068122457778301 logp*logq = 40.18622209459222191 -------------- ************************************* p = 347; q = 349; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 747845321372198.7055 -------------- Searches starting with [347,349]-exponents: u = 1, v = 1017 n_start has 2589 digits --- performed 5000 steps in the continued fraction search [347,349]-exponents: u = 938, v = 76 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(347,349) = 0.6219159368358364514 D2(347,349) = 0.3410025315895910851 C1(347,349) = 0.7805314091021913201 C2(347,349) = 1.254693477440162322 C3(347,349) = 3.969630840400830969 C4(347,349) = 2792 Sum = 5932.787678971178729 Averaged sum = 0.5933381017072886017 logp*logq = 34.24821728290974613 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(347,349) = 0.6219159368358364514 D2(347,349) = 0.3410025315895910851 C1(347,349) = 0.7805314091021913201 C2(347,349) = 1.254693477440162322 C3(347,349) = 3.969630840400830969 C4(347,349) = 2792 Sum = 5932.787678971178729 Averaged sum = 0.5933381017072886017 logp*logq = 34.24821728290974613 -------------- ************************************* p = 347; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 799395534548774.2479 -------------- Searches starting with [347,353]-exponents: u = 1, v = 341 n_start has 872 digits --- performed 5000 steps in the continued fraction search [347,353]-exponents: u = 317, v = 11 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(347,353) = 0.7449725328336094765 D2(347,353) = 0.05739569657906707428 C1(347,353) = 0.9704922587178644153 C2(347,353) = 1.115121851679540189 C3(347,353) = 5.552264901468153960 C4(347,353) = 2824 Sum = 5357.637595971875830 Averaged sum = 0.5358173413313207150 logp*logq = 34.31487697618663474 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(347,353) = 0.7449725328336094765 D2(347,353) = 0.05739569657906707428 C1(347,353) = 0.9704922587178644153 C2(347,353) = 1.115121851679540189 C3(347,353) = 5.552264901468153960 C4(347,353) = 2824 Sum = 5357.637595971875830 Averaged sum = 0.5358173413313207150 logp*logq = 34.31487697618663474 -------------- ************************************* p = 347; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 882220759999316.8385 -------------- Searches starting with [347,359]-exponents: u = 1, v = 172 n_start has 443 digits starting right neighbors generation We generated 3596 left neighbors We generated 6414 right neighbors We generated 10009 non-negative rho_i D1(347,359) = 0.9184381826533014232 D2(347,359) = 0.003391792293515322874 C1(347,359) = 1.233239308331964851 C2(347,359) = 1.175075342162020197 C3(347,359) = 8.831306287230486169 C4(347,359) = 2872 Sum = 4844.907403275919748 Averaged sum = 0.4840550907459206462 logp*logq = 34.41346343540063185 -------------- ************************************* p = 347; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1003609496065534.389 -------------- Searches starting with [347,367]-exponents: u = 1, v = 104 n_start has 270 digits starting right neighbors generation We generated 1299 left neighbors We generated 8711 right neighbors We generated 10009 non-negative rho_i D1(347,367) = 0.5966057034768466029 D2(347,367) = 0.01803512164433215351 C1(347,367) = 0.8230382771595270168 C2(347,367) = 1.283764493364290647 C3(347,367) = 4.279148748075101909 C4(347,367) = 2936 Sum = 4277.556567141647411 Averaged sum = 0.4273710227936504556 logp*logq = 34.54237939237837699 -------------- ************************************* p = 347; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1103469151863341.750 -------------- Searches starting with [347,373]-exponents: u = 1, v = 80 n_start has 209 digits starting right neighbors generation We generated 774 left neighbors We generated 9236 right neighbors We generated 10009 non-negative rho_i D1(347,373) = 0.9293228863703271345 D2(347,373) = 0.01558902288221890602 C1(347,373) = 1.301819362867877379 C2(347,373) = 1.336920866844900382 C3(347,373) = 9.968575453008365212 C4(347,373) = 2984 Sum = 5412.421108383418214 Averaged sum = 0.5407554309504863837 logp*logq = 34.63723538642113156 -------------- ************************************* p = 347; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1211429735080278.429 -------------- Searches starting with [347,379]-exponents: u = 1, v = 66 n_start has 173 digits starting right neighbors generation We generated 575 left neighbors We generated 9435 right neighbors We generated 10009 non-negative rho_i D1(347,379) = 0.7203998343532812840 D2(347,379) = 0.01690514753732626735 C1(347,379) = 0.9601129004110344371 C2(347,379) = 1.385262892270673766 C3(347,379) = 5.451400793688631498 C4(347,379) = 3032 Sum = 3663.611331359764682 Averaged sum = 0.3660317046018348168 logp*logq = 34.73057765622027291 -------------- ************************************* p = 347; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1288156413413415.014 -------------- Searches starting with [347,383]-exponents: u = 1, v = 59 n_start has 155 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(347,383) = 0.6244046857995289298 D2(347,383) = 0.02730407221077532522 C1(347,383) = 0.8937815965402146831 C2(347,383) = 1.422573365704235372 C3(347,383) = 4.848696374039516916 C4(347,383) = 3064 Sum = 3718.737385572398005 Averaged sum = 0.3715393531394143276 logp*logq = 34.79198845420530111 -------------- ************************************* p = 347; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1410770539299403.371 -------------- Searches starting with [347,389]-exponents: u = 1, v = 51 n_start has 135 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(347,389) = 0.6628939237931451082 D2(347,389) = 0.03741822106854484102 C1(347,389) = 0.9592331977709323406 C2(347,389) = 1.470010587727737320 C3(347,389) = 5.442936756585442258 C4(347,389) = 3112 Sum = 3246.067871204041274 Averaged sum = 0.3243149037070677665 logp*logq = 34.88291243180660335 -------------- ************************************* p = 347; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1589167625747496.714 -------------- Searches starting with [347,397]-exponents: u = 1, v = 43 n_start has 115 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(347,397) = 0.6989126534832230742 D2(347,397) = 0.03613507414952150336 C1(347,397) = 0.9739422286775691407 C2(347,397) = 1.514937538593444592 C3(347,397) = 5.586202439103853428 C4(347,397) = 3176 Sum = 4421.780848515203208 Averaged sum = 0.4417804824173447106 logp*logq = 35.00198676824662711 -------------- ************************************* p = 347; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1685143480614752.350 -------------- Searches starting with [347,401]-exponents: u = 1, v = 40 n_start has 107 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(347,401) = 0.6581639724555714196 D2(347,401) = 0.01938800589566620951 C1(347,401) = 0.9212493364502162602 C2(347,401) = 1.521620077885334583 C3(347,401) = 5.089740614841179847 C4(347,401) = 3208 Sum = 4338.549360213137904 Averaged sum = 0.4334648176853969332 logp*logq = 35.06062710678995985 -------------- ************************************* p = 347; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1891550166614998.341 -------------- Searches starting with [347,409]-exponents: u = 1, v = 35 n_start has 94 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(347,409) = 0.5945313781071153538 D2(347,409) = 0.04197731961115583956 C1(347,409) = 0.8392957960888568245 C2(347,409) = 1.580665024582695869 C3(347,409) = 4.403810466809917710 C4(347,409) = 3272 Sum = 4314.684725940378527 Averaged sum = 0.4310805001439083352 logp*logq = 35.17617308178315331 -------------- ************************************* p = 347; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2178619882962075.797 -------------- Searches starting with [347,419]-exponents: u = 1, v = 31 n_start has 84 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(347,419) = 1.036922190612403335 D2(347,419) = 0.05137019546440627056 C1(347,419) = 1.565397332648931804 C2(347,419) = 1.633613366117869617 C3(347,419) = 15.87907766701200487 C4(347,419) = 3352 Sum = 2503.559339723906129 Averaged sum = 0.2501308162377766139 logp*logq = 35.31746799002109856 -------------- ************************************* p = 347; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2240156154501406.198 -------------- Searches starting with [347,421]-exponents: u = 1, v = 30 n_start has 82 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(347,421) = 0.7513415969353390222 D2(347,421) = 0.02562216274984376448 C1(347,421) = 1.026202984378495325 C2(347,421) = 1.619849801005397983 C3(347,421) = 6.126411942102209546 C4(347,421) = 3368 Sum = 4292.060986758184659 Averaged sum = 0.4288201605313402597 logp*logq = 35.34532197017886189 -------------- ************************************* p = 347; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2569881976647838.245 -------------- Searches starting with [347,431]-exponents: u = 1, v = 26 n_start has 72 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(347,431) = 1.091371271431906233 D2(347,431) = 0.01917856312247000199 C1(347,431) = 1.669882494280849710 C2(347,431) = 1.654577889084646991 C3(347,431) = 19.09749652727793402 C4(347,431) = 3448 Sum = 5213.055951004209886 Averaged sum = 0.5208368419426725833 logp*logq = 35.48263636927996682 -------------- ************************************* p = 347; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2640425900391772.358 -------------- Searches starting with [347,433]-exponents: u = 1, v = 26 n_start has 72 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(347,433) = 0.5827195614285781211 D2(347,433) = 0.06927421083674079866 C1(347,433) = 0.7919232380746557252 C2(347,433) = 1.705352440417575839 C3(347,433) = 4.050315540910538774 C4(347,433) = 3464 Sum = 4094.616374837209790 Averaged sum = 0.4090934533756828644 logp*logq = 35.50971662496325986 -------------- ************************************* p = 347; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2861759929561659.138 -------------- Searches starting with [347,439]-exponents: u = 1, v = 24 n_start has 66 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(347,439) = 0.6946335111831645427 D2(347,439) = 0.007279529925037944766 C1(347,439) = 1.071218237373581977 C2(347,439) = 1.674483168484717843 C3(347,439) = 6.633422420813506802 C4(347,439) = 3512 Sum = 4041.796142378884557 Averaged sum = 0.4038161796761798937 logp*logq = 35.59021319047272057 -------------- ************************************* p = 347; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3017691874923535.800 -------------- Searches starting with [347,443]-exponents: u = 1, v = 23 n_start has 64 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(347,443) = 0.8768658878980174380 D2(347,443) = 0.1010735417799325271 C1(347,443) = 1.358037360274173083 C2(347,443) = 1.769621909255401968 C3(347,443) = 11.00926305082837765 C4(347,443) = 3544 Sum = 4264.490454313836514 Averaged sum = 0.4260655864036203930 logp*logq = 35.64326865426009639 -------------- ************************************* p = 347; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3264752363498104.745 -------------- Searches starting with [347,449]-exponents: u = 1, v = 22 n_start has 61 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(347,449) = 0.6131556198525978062 D2(347,449) = 0.1235077263444409393 C1(347,449) = 0.8672323692650639650 C2(347,449) = 1.810060834856565398 C3(347,449) = 4.626567735554077860 C4(347,449) = 3592 Sum = 4083.753847214074201 Averaged sum = 0.4080081773617818165 logp*logq = 35.72196030897339416 -------------- ************************************* p = 347; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3620043103372399.736 -------------- Searches starting with [347,457]-exponents: u = 1, v = 21 n_start has 59 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(347,457) = 0.7676505339324526117 D2(347,457) = 0.03310324286154971838 C1(347,457) = 1.069729197400552683 C2(347,457) = 1.757830685508013553 C3(347,457) = 6.615998578610601012 C4(347,457) = 3656 Sum = 4200.535000258927084 Averaged sum = 0.4196757918132607737 logp*logq = 35.82526232768642728 -------------- ************************************* p = 347; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3809358351466486.855 -------------- Searches starting with [347,461]-exponents: u = 1, v = 20 n_start has 56 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(347,461) = 0.6733921907347375506 D2(347,461) = 0.1176413679810368252 C1(347,461) = 0.9274282767513810195 C2(347,461) = 1.843684926517996647 C3(347,461) = 5.145594408214719770 C4(347,461) = 3688 Sum = 4233.044622666706316 Averaged sum = 0.4229238308189335913 logp*logq = 35.87623715817786791 -------------- ************************************* p = 347; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3907049771719837.684 -------------- Searches starting with [347,463]-exponents: u = 1, v = 20 n_start has 56 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(347,463) = 0.7153895460866709978 D2(347,463) = 0.01517610190454353968 C1(347,463) = 0.9679125038372476026 C2(347,463) = 1.761716392248702023 C3(347,463) = 5.527022513158091474 C4(347,463) = 3704 Sum = 4262.187952625129782 Averaged sum = 0.4258355432735667681 logp*logq = 35.90155895001684545 -------------- ************************************* p = 347; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4108671078606406.577 -------------- Searches starting with [347,467]-exponents: u = 1, v = 19 n_start has 54 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(347,467) = 0.6258128084801053543 D2(347,467) = 0.09020551012467700954 C1(347,467) = 0.8936518772364503593 C2(347,467) = 1.838053873882475617 C3(347,467) = 4.847585535947011409 C4(347,467) = 3736 Sum = 3955.064891989092233 Averaged sum = 0.3951508534308214839 logp*logq = 35.95187603259506518 -------------- ************************************* p = 347; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4765987919450502.041 -------------- Searches starting with [347,479]-exponents: u = 1, v = 18 n_start has 51 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(347,479) = 0.8463998576925900136 D2(347,479) = 0.0008000620007518478048 C1(347,479) = 1.151640476651975265 C2(347,479) = 1.797431240982210868 C3(347,479) = 7.645924678655049229 C4(347,479) = 3832 Sum = 4346.021270809536266 Averaged sum = 0.4342113368777636394 logp*logq = 36.10028123884850117 -------------- ************************************* p = 347; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5250851663638369.688 -------------- Searches starting with [347,487]-exponents: u = 1, v = 17 n_start has 49 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(347,487) = 0.7516584867082198250 D2(347,487) = 0.1375149824974570870 C1(347,487) = 1.061108259927338939 C2(347,487) = 1.936702763898224676 C3(347,487) = 6.516017359520085333 C4(347,487) = 3896 Sum = 4579.373079906371540 Averaged sum = 0.4575255350091289380 logp*logq = 36.19716668000311310 -------------- ************************************* p = 347; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5508199439960379.044 -------------- Searches starting with [347,491]-exponents: u = 1, v = 16 n_start has 46 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(347,491) = 0.6376491614572534769 D2(347,491) = 0.02293104241571720208 C1(347,491) = 0.8709182699281805793 C2(347,491) = 1.849020750008609481 C3(347,491) = 4.656787284309844712 C4(347,491) = 3928 Sum = 4273.523341892050865 Averaged sum = 0.4269680629325657773 logp*logq = 36.24501418426469193 -------------- ************************************* p = 347; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6054334059359258.433 -------------- Searches starting with [347,499]-exponents: u = 1, v = 16 n_start has 46 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(347,499) = 0.7679064934568092260 D2(347,499) = 0.1197021158768097947 C1(347,499) = 1.031707241125560611 C2(347,499) = 1.322176584877734356 C3(347,499) = 6.186265322261496072 C4(347,499) = 3992 Sum = 4128.439537233339268 Averaged sum = 0.4124727282678928232 logp*logq = 36.33955078392826795 -------------- ************************************* p = 347; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6343786519205671.167 -------------- Searches starting with [347,503]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(347,503) = 0.8170341621320078133 D2(347,503) = 0.01900104240233861492 C1(347,503) = 1.160259135289294682 C2(347,503) = 1.877110832318667052 C3(347,503) = 7.763211851765078843 C4(347,503) = 4024 Sum = 4121.477876277362045 Averaged sum = 0.4117771881583936502 logp*logq = 36.38625222785825243 -------------- ************************************* p = 347; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6799412613129602.536 -------------- Searches starting with [347,509]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(347,509) = 0.6071087223819745218 D2(347,509) = 0.1051205164490045015 C1(347,509) = 0.8640015521663296191 C2(347,509) = 1.965091923079221260 C3(347,509) = 4.600240599577449721 C4(347,509) = 4072 Sum = 4236.528802260761165 Averaged sum = 0.4232719354841403901 logp*logq = 36.45561262293962548 -------------- ************************************* p = 347; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7792309933981807.793 -------------- Searches starting with [347,521]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(347,521) = 0.6755131164391716138 D2(347,521) = 0.06213999263104341954 C1(347,521) = 0.9501977355661423741 C2(347,521) = 1.957169108809068826 C3(347,521) = 5.356759311925750892 C4(347,521) = 4168 Sum = 4358.930046241963190 Averaged sum = 0.4355010536758880198 logp*logq = 36.59191373638156815 -------------- ************************************* p = 347; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7968916808255554.183 -------------- Searches starting with [347,523]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(347,523) = 0.7422500188526225086 D2(347,523) = 0.08924834797076673173 C1(347,523) = 1.061176613522865392 C2(347,523) = 1.984884670839030833 C3(347,523) = 6.516804116733025999 C4(347,523) = 4184 Sum = 4502.478626291460528 Averaged sum = 0.4498430039256130011 logp*logq = 36.61432496985099384 -------------- ************************************* p = 347; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9713114118912705.134 -------------- Searches starting with [347,541]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(347,541) = 0.7049688591107879243 D2(347,541) = 0.08838535299996162932 C1(347,541) = 0.9852546511554274168 C2(347,541) = 2.024570529484423661 C3(347,541) = 5.698945375509813248 C4(347,541) = 4328 Sum = 4473.227623006034443 Averaged sum = 0.4469205338201652955 logp*logq = 36.81225333835201680 -------------- ************************************* p = 347; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10360414119969933.50 -------------- Searches starting with [347,547]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(347,547) = 0.6519755034975930511 D2(347,547) = 0.1106569271090700031 C1(347,547) = 0.9037075670288866325 C2(347,547) = 1.794364841264137788 C3(347,547) = 4.934455744578184758 C4(347,547) = 4376 Sum = 4352.176748675079952 Averaged sum = 0.4348263311694554853 logp*logq = 36.87676860391319518 -------------- ************************************* p = 347; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11518577143915429.43 -------------- Searches starting with [347,557]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(347,557) = 0.5956025286555570467 D2(347,557) = 0.02392960723424873659 C1(347,557) = 0.8808042550034697154 C2(347,557) = 2.004591227225960891 C3(347,557) = 4.738817638227261602 C4(347,557) = 4456 Sum = 3977.343944585658310 Averaged sum = 0.3973767553787249785 logp*logq = 36.98273753073732161 -------------- ************************************* p = 347; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12263569918013143.03 -------------- Searches starting with [347,563]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(347,563) = 0.7278828914159219607 D2(347,563) = 0.06961880633304410961 C1(347,563) = 1.229239673892344821 C2(347,563) = 1.305117356949538646 C3(347,563) = 8.769135982333467623 C4(347,563) = 4504 Sum = 4173.561083101740235 Averaged sum = 0.4169808255671635763 logp*logq = 37.04540946721012066 -------------- ************************************* p = 347; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13048075210530045.29 -------------- Searches starting with [347,569]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(347,569) = 0.6606456903482938219 D2(347,569) = 0.09124414608565473049 C1(347,569) = 0.9292847521444190375 C2(347,569) = 1.812017230626558980 C3(347,569) = 5.162495233719677596 C4(347,569) = 4552 Sum = 4397.135934718934504 Averaged sum = 0.4393182070855164855 logp*logq = 37.10741702435518618 -------------- ************************************* p = 347; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13318640523424675.47 -------------- Searches starting with [347,571]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(347,571) = 0.7791673827341013238 D2(347,571) = 0.08940717044863931407 C1(347,571) = 1.129199127799499602 C2(347,571) = 1.810804727536361665 C3(347,571) = 7.348778000595497196 C4(347,571) = 4568 Sum = 4468.233448980116798 Averaged sum = 0.4464215654890715154 logp*logq = 37.12794099200821045 -------------- ************************************* p = 347; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14158397650239510.30 -------------- Searches starting with [347,577]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(347,577) = 1.182652119344233580 D2(347,577) = 0.08399408304499302104 C1(347,577) = 1.831624545913617151 C2(347,577) = 1.807251764388147718 C3(347,577) = 25.41263479614504324 C4(347,577) = 4616 Sum = 4173.907785074669789 Averaged sum = 0.4170154645893365760 logp*logq = 37.18908431647932996 -------------- ************************************* p = 347; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15655374185705733.63 -------------- Searches starting with [347,587]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(347,587) = 0.7754203005869724397 D2(347,587) = 0.05125484313050404233 C1(347,587) = 1.074816059953006628 C2(347,587) = 2.086037308418076348 C3(347,587) = 6.675711575307444454 C4(347,587) = 4696 Sum = 4561.599221794967574 Averaged sum = 0.4557497474068306098 logp*logq = 37.28959065139674593 -------------- ************************************* p = 347; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16614892436799500.49 -------------- Searches starting with [347,593]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(347,593) = 0.7363595052744442412 D2(347,593) = 0.06802461358203657158 C1(347,593) = 0.9984372464708259438 C2(347,593) = 1.328695527997318071 C3(347,593) = 5.833200962129537854 C4(347,593) = 4744 Sum = 4338.983236448211808 Averaged sum = 0.4335081662951555408 logp*logq = 37.34907582283528827 -------------- ************************************* p = 347; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17622663018089768.71 -------------- Searches starting with [347,599]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(347,599) = 1.834191639804478151 D2(347,599) = 0.06660052950307942075 C1(347,599) = 2.569382752580389207 C2(347,599) = 1.830987265050297723 C3(347,599) = 93.53803610479311944 C4(347,599) = 4792 Sum = 6381.096971544800782 Averaged sum = 0.6375359148311320593 logp*logq = 37.40796214009924981 -------------- ************************************* p = 347; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17969637220146156.34 -------------- Searches starting with [347,601]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(347,601) = 0.6647369002842238217 D2(347,601) = 0.06495138693178863137 C1(347,601) = 0.9949836733924828403 C2(347,601) = 1.829941682373788218 C3(347,601) = 5.797725949943474741 C4(347,601) = 4808 Sum = 3738.826614512460189 Averaged sum = 0.3735464696285802967 logp*logq = 37.42745990741924098 -------------- ************************************* p = 347; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19044719387437301.00 -------------- Searches starting with [347,607]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(347,607) = 0.6718917538152159509 D2(347,607) = 0.05521427648511480840 C1(347,607) = 0.9090605716848091094 C2(347,607) = 1.678870138349397646 C3(347,607) = 4.981333043142364691 C4(347,607) = 4856 Sum = 4102.487247429705935 Averaged sum = 0.4098798328933665636 logp*logq = 37.48556626054721125 -------------- ************************************* p = 347; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20172588373142495.71 -------------- Searches starting with [347,613]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(347,613) = 0.5951380680394187500 D2(347,613) = 0.04811699098538173664 C1(347,613) = 0.8357194908970188085 C2(347,613) = 1.586285103252505491 C3(347,613) = 4.376079620025150431 C4(347,613) = 4904 Sum = 4212.671786748027863 Averaged sum = 0.4208883791335825620 logp*logq = 37.54310106651371674 -------------- ************************************* p = 347; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20954830540849362.85 -------------- Searches starting with [347,617]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(347,617) = 0.7362364154266563984 D2(347,617) = 0.01183456126099554210 C1(347,617) = 1.045517928130523875 C2(347,617) = 2.107834177165866010 C3(347,617) = 6.339029891929086042 C4(347,617) = 4936 Sum = 3727.243009551976078 Averaged sum = 0.3723891507195500128 logp*logq = 37.58114558944277459 -------------- ************************************* p = 347; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21355281042553395.38 -------------- Searches starting with [347,619]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(347,619) = 0.6623353996875104919 D2(347,619) = 0.02677319070061080966 C1(347,619) = 1.150416466639834207 C2(347,619) = 2.123310213498830480 C3(347,619) = 7.629412038510802553 C4(347,619) = 4952 Sum = 3869.273820178584053 Averaged sum = 0.3865794605034053405 logp*logq = 37.60007545962107040 -------------- ************************************* p = 347; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23893573958325094.24 -------------- Searches starting with [347,631]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(347,631) = 0.6031882053545168055 D2(347,631) = 0.04261751106897499363 C1(347,631) = 0.8360851067237888396 C2(347,631) = 1.856382268793059977 C3(347,631) = 4.378906591079368652 C4(347,631) = 5048 Sum = 4241.210729708746086 Averaged sum = 0.4237397072343636812 logp*logq = 37.71238594565897685 -------------- ************************************* p = 347; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26195351228102550.73 -------------- Searches starting with [347,641]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(347,641) = 0.6743822254928044273 D2(347,641) = 0.03524784189158432018 C1(347,641) = 1.065675421134391335 C2(347,641) = 1.851915881453814281 C3(347,641) = 6.568795297455045103 C4(347,641) = 5128 Sum = 3996.471317476372655 Averaged sum = 0.3992877727521603212 logp*logq = 37.80435835589256715 -------------- ************************************* p = 347; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26677064034161403.32 -------------- Searches starting with [347,643]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(347,643) = 0.8015463818704711691 D2(347,643) = 0.03099818019353731034 C1(347,643) = 1.266575768154896340 C2(347,643) = 1.697384367825988443 C3(347,643) = 9.366935651974042674 C4(347,643) = 5144 Sum = 3316.723634416644742 Averaged sum = 0.3313741267276096255 logp*logq = 37.82258056620575754 -------------- ************************************* p = 347; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27662540512687510.04 -------------- Searches starting with [347,647]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(347,647) = 0.5813058577674330998 D2(347,647) = 0.02837906908885752852 C1(347,647) = 0.8411672732415544511 C2(347,647) = 1.695878957534022288 C3(347,647) = 4.418391962569704460 C4(347,647) = 5176 Sum = 4040.957969737089900 Averaged sum = 0.4037324377797072535 logp*logq = 37.85885556482134970 -------------- ************************************* p = 347; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29197214780714630.80 -------------- Searches starting with [347,653]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(347,653) = 1.008958895470729137 D2(347,653) = 0.02317178510363617543 C1(347,653) = 1.488863004281212716 C2(347,653) = 1.600828798988519472 C3(347,653) = 13.87124206572899943 C4(347,653) = 5224 Sum = 4948.397420666299713 Averaged sum = 0.4943947867585472787 logp*logq = 37.91284971541345543 -------------- ************************************* p = 347; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30801814951467292.79 -------------- Searches starting with [347,659]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(347,659) = 0.6216865005259621569 D2(347,659) = 0.01700171021502406088 C1(347,659) = 1.098857823714847751 C2(347,659) = 1.387442654439269318 C3(347,659) = 6.965305020881811806 C4(347,659) = 5272 Sum = 3806.229191514843402 Averaged sum = 0.3802806665515879111 logp*logq = 37.96635001014977816 -------------- ************************************* p = 347; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31352651956303745.45 -------------- Searches starting with [347,661]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(347,661) = 0.9885746899363334537 D2(347,661) = 0.01491531254280221353 C1(347,661) = 1.346743865810029378 C2(347,661) = 1.294506956385916142 C3(347,661) = 10.79182624515164061 C4(347,661) = 5288 Sum = 4194.083551432751013 Averaged sum = 0.4190312270389400553 logp*logq = 37.98407525031953679 -------------- ************************************* p = 347; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34832014559474564.33 -------------- Searches starting with [347,673]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(347,673) = 0.7509921716472256395 D2(347,673) = 0.01360882752990105224 C1(347,673) = 1.076310379344660833 C2(347,673) = 1.886440037353515139 C3(347,673) = 6.693355093612885137 C4(347,673) = 5384 Sum = 4521.667188255510544 Averaged sum = 0.4517601347043171690 logp*logq = 38.08931331739413554 -------------- ************************************* p = 347; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36060557906883556.79 -------------- Searches starting with [347,677]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(347,677) = 0.9690728000698062013 D2(347,677) = 0.01094931767383001577 C1(347,677) = 1.436298266951248327 C2(347,677) = 1.884899869703221338 C3(347,677) = 12.64132622901193016 C4(347,677) = 5416 Sum = 3577.914138173907631 Averaged sum = 0.3574696910954048987 logp*logq = 38.12397608419355857 -------------- ************************************* p = 347; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37970582431188393.57 -------------- Searches starting with [347,683]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(347,683) = 0.6947571644954737539 D2(347,683) = 0.007020783070364597489 C1(347,683) = 0.9579047310685109566 C2(347,683) = 1.882637761888387693 C3(347,683) = 5.430179848017717353 C4(347,683) = 5464 Sum = 4115.425698501570277 Averaged sum = 0.4111725145870287019 logp*logq = 38.17558810828321928 -------------- ************************************* p = 347; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40647075541647144.92 -------------- Searches starting with [347,691]-exponents: u = 19, v = 8 n_start has 71 digits starting right neighbors generation We generated 276 left neighbors We generated 9734 right neighbors We generated 10009 non-negative rho_i D1(347,691) = 0.9522192020247474568 D2(347,691) = 0.001731293030217963112 C1(347,691) = 1.523441688680119076 C2(347,691) = 1.719956324303609687 C3(347,691) = 14.74486694032338045 C4(347,691) = 5528 Sum = 2956.913677170324497 Averaged sum = 0.2954254847807297928 logp*logq = 38.24370328592162246 -------------- ************************************* p = 347; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44210855546043201.73 -------------- Searches starting with [347,701]-exponents: u = 28, v = 8 n_start has 94 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(347,701) = 0.8374497501401809366 D2(347,701) = 0.09687804794869080943 C1(347,701) = 1.115339530313390163 C2(347,701) = 1.816969490356483730 C3(347,701) = 7.171059917325145123 C4(347,701) = 5608 Sum = 3719.874876070528221 Averaged sum = 0.3716529999071363993 logp*logq = 38.32774675442866297 -------------- ************************************* p = 347; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47244979221192352.64 -------------- Searches starting with [347,709]-exponents: u = 46, v = 8 n_start has 140 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(347,709) = 0.6272435608869266343 D2(347,709) = 0.04731249203162633025 C1(347,709) = 0.8492517207813080510 C2(347,709) = 1.769484886766413345 C3(347,709) = 4.481938224599975185 C4(347,709) = 5672 Sum = 4077.357318382269686 Averaged sum = 0.4073690996485432796 logp*logq = 38.39412278333551227 -------------- ************************************* p = 347; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51278473481196264.10 -------------- Searches starting with [347,719]-exponents: u = 307, v = 8 n_start has 803 digits --- performed 5000 steps in the continued fraction search [347,719]-exponents: u = 268, v = 26 --- **************************************************** Computing .... elapsed time = 37 minutes **************************************************** We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(347,719) = 0.5741961548099180806 D2(347,719) = 0.3067842048900518166 C1(347,719) = 0.7512949315642021632 C2(347,719) = 1.472694106520834644 C3(347,719) = 3.769837683860206680 C4(347,719) = 5752 Sum = 5128.002056503126761 Averaged sum = 0.5128514907993926154 logp*logq = 38.47604743877260986 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(347,719) = 0.5741961548099180806 D2(347,719) = 0.3067842048900518166 C1(347,719) = 0.7512949315642021632 C2(347,719) = 1.472694106520834644 C3(347,719) = 3.769837683860206680 C4(347,719) = 5752 Sum = 5128.002056503126761 Averaged sum = 0.5128514907993926154 logp*logq = 38.47604743877260986 -------------- ************************************* p = 347; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54707155990896804.17 -------------- Searches starting with [347,727]-exponents: u = 9, v = 79 n_start has 249 digits starting right neighbors generation We generated 1975 left neighbors We generated 8035 right neighbors We generated 10009 non-negative rho_i D1(347,727) = 0.9266894367787227345 D2(347,727) = 0.006719131845456148714 C1(347,727) = 1.283689975831456288 C2(347,727) = 1.376502256416956894 C3(347,727) = 9.654414564004160691 C4(347,727) = 5816 Sum = 4872.744781387122789 Averaged sum = 0.4868363254458110489 logp*logq = 38.54077091828478723 -------------- ************************************* p = 347; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57401557439790502.20 -------------- Searches starting with [347,733]-exponents: u = 9, v = 39 n_start has 135 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(347,733) = 0.5638773448720097624 D2(347,733) = 0.02877424264842335667 C1(347,733) = 0.7626528069874164774 C2(347,733) = 1.552580380858400209 C3(347,733) = 3.846230813044083171 C4(347,733) = 5864 Sum = 4221.425021087337625 Averaged sum = 0.4217629154847974448 logp*logq = 38.58884783096550568 -------------- ************************************* p = 347; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60205060667339901.00 -------------- Searches starting with [347,739]-exponents: u = 9, v = 23 n_start has 89 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(347,739) = 0.6822643523666900881 D2(347,739) = 0.05565792309476343025 C1(347,739) = 0.9180050635850372736 C2(347,739) = 1.707678560211778579 C3(347,739) = 5.060657548945882215 C4(347,739) = 5912 Sum = 3897.608324381861249 Averaged sum = 0.3894103631113858776 logp*logq = 38.63653280793378687 -------------- ************************************* p = 347; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62136389036966166.83 -------------- Searches starting with [347,743]-exponents: u = 9, v = 23 n_start has 89 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(347,743) = 0.6556181405812407911 D2(347,743) = 0.07291791423957280037 C1(347,743) = 1.011077432898558333 C2(347,743) = 1.725841596198750368 C3(347,743) = 5.964901799709749327 C4(347,743) = 5944 Sum = 3881.583352690023025 Averaged sum = 0.3878093068927987836 logp*logq = 38.66810818706427907 -------------- ************************************* p = 347; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66153365233501499.50 -------------- Searches starting with [347,751]-exponents: u = 9, v = 15 n_start has 66 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(347,751) = 0.6273879916829391165 D2(347,751) = 0.1173780447590112459 C1(347,751) = 0.8980518603106338466 C2(347,751) = 1.879388099208936470 C3(347,751) = 4.885406807415609829 C4(347,751) = 6008 Sum = 4151.186427497991117 Averaged sum = 0.4147453719150755436 logp*logq = 38.73075215694413723 -------------- ************************************* p = 347; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69305367665718860.72 -------------- Searches starting with [347,757]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(347,757) = 1.358950258324983587 D2(347,757) = 0.09384511345443797667 C1(347,757) = 2.206168310144129705 C2(347,757) = 1.193510586517231623 C3(347,757) = 49.24525211371969094 C4(347,757) = 6056 Sum = 3582.131400239574819 Averaged sum = 0.3578910380896767728 logp*logq = 38.77729875360079959 -------------- ************************************* p = 347; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71475083831885620.24 -------------- Searches starting with [347,761]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(347,761) = 0.5826745849711967656 D2(347,761) = 0.1251312466173907120 C1(347,761) = 0.8203268312048925801 C2(347,761) = 1.905938095471633860 C3(347,761) = 4.258703627002120594 C4(347,761) = 6088 Sum = 3841.004514248843695 Averaged sum = 0.3837550718602101803 logp*logq = 38.80812530600239700 -------------- ************************************* p = 347; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75983702615391367.85 -------------- Searches starting with [347,769]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(347,769) = 0.6857803849747812988 D2(347,769) = 0.07981197376136148547 C1(347,769) = 0.9224578949707333106 C2(347,769) = 1.862584610833889990 C3(347,769) = 5.100617333177446929 C4(347,769) = 6152 Sum = 4034.959544750532701 Averaged sum = 0.4031331346538647918 logp*logq = 38.86929527293046215 -------------- ************************************* p = 347; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78324906066050038.07 -------------- Searches starting with [347,773]-exponents: u = 25, v = 7 n_start has 84 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(347,773) = 0.6039137060079594937 D2(347,773) = 0.05940561426442253654 C1(347,773) = 0.8453164728764689592 C2(347,773) = 1.843153379468993051 C3(347,773) = 4.450892601542164600 C4(347,773) = 6184 Sum = 3940.630564273000605 Averaged sum = 0.3937087185805775407 logp*logq = 38.89964203246383008 -------------- ************************************* p = 347; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86995495103889817.92 -------------- Searches starting with [347,787]-exponents: u = 49, v = 7 n_start has 145 digits starting right neighbors generation We generated 1226 left neighbors We generated 8784 right neighbors We generated 10009 non-negative rho_i D1(347,787) = 1.585355726306920425 D2(347,787) = 0.04420377325395395919 C1(347,787) = 2.277965201005079971 C2(347,787) = 1.728022102431757939 C3(347,787) = 55.90365099051061899 C4(347,787) = 6296 Sum = 7101.572964445671398 Averaged sum = 0.7095187295879379956 logp*logq = 39.00463273180955744 -------------- ************************************* p = 347; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93663861232330850.60 -------------- Searches starting with [347,797]-exponents: u = 233, v = 7 n_start has 613 digits --- performed 5000 steps in the continued fraction search [347,797]-exponents: u = 69, v = 128 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(347,797) = 0.8850428889906429646 D2(347,797) = 0.2132920522777914659 C1(347,797) = 1.171827597059822316 C2(347,797) = 1.461583459488084177 C3(347,797) = 7.923474621693264022 C4(347,797) = 6376 Sum = 4918.243912094886456 Averaged sum = 0.4918735785673453801 logp*logq = 39.07848882387151924 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(347,797) = 0.8850428889906429646 D2(347,797) = 0.2132920522777914659 C1(347,797) = 1.171827597059822316 C2(347,797) = 1.461583459488084177 C3(347,797) = 7.923474621693264022 C4(347,797) = 6376 Sum = 4918.243912094886456 Averaged sum = 0.4918735785673453801 logp*logq = 39.07848882387151924 -------------- ************************************* p = 347; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102219875173178828.6 -------------- Searches starting with [347,809]-exponents: u = 8, v = 76 n_start has 242 digits starting right neighbors generation We generated 3641 left neighbors We generated 6369 right neighbors We generated 10009 non-negative rho_i D1(347,809) = 0.7296731112905619924 D2(347,809) = 0.02892257861749940824 C1(347,809) = 1.018269898241023947 C2(347,809) = 1.662800436688382419 C3(347,809) = 6.041164750705195725 C4(347,809) = 6472 Sum = 4057.735141279002480 Averaged sum = 0.4054086463461886782 logp*logq = 39.16590252709157999 -------------- ************************************* p = 347; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103706927548752484.6 -------------- Searches starting with [347,811]-exponents: u = 8, v = 62 n_start has 201 digits starting right neighbors generation We generated 2590 left neighbors We generated 7420 right neighbors We generated 10009 non-negative rho_i D1(347,811) = 0.7726133993957304372 D2(347,811) = 0.01219393131298477097 C1(347,811) = 1.092762843271733211 C2(347,811) = 1.724841807769707653 C3(347,811) = 6.890720668185571120 C4(347,811) = 6488 Sum = 3846.470334324396204 Averaged sum = 0.3843011623862919576 logp*logq = 39.18034531166371441 -------------- ************************************* p = 347; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111413969112582874.1 -------------- Searches starting with [347,821]-exponents: u = 8, v = 27 n_start has 100 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(347,821) = 0.6812991915919549954 D2(347,821) = 0.004123572347025185912 C1(347,821) = 0.9113457272439041922 C2(347,821) = 1.640707952283104012 C3(347,821) = 5.001479980679195184 C4(347,821) = 6568 Sum = 3807.179552363223550 Averaged sum = 0.3803756171808595814 logp*logq = 39.25202911052613801 -------------- ************************************* p = 347; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113010943189414651.2 -------------- Searches starting with [347,823]-exponents: u = 8, v = 27 n_start has 100 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(347,823) = 0.7967135107633377064 D2(347,823) = 0.009661981870756644378 C1(347,823) = 1.070410354239263979 C2(347,823) = 1.646657997821358589 C3(347,823) = 6.623963375937460512 C4(347,823) = 6584 Sum = 3876.591768638171360 Averaged sum = 0.3873105973262235348 logp*logq = 39.26626105131830532 -------------- ************************************* p = 347; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116261861600430928.7 -------------- Searches starting with [347,827]-exponents: u = 8, v = 20 n_start has 79 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(347,827) = 0.5741337843449968177 D2(347,827) = 0.02196033303465983268 C1(347,827) = 0.7874704164264317176 C2(347,827) = 1.738139184753847470 C3(347,827) = 4.018584208805290017 C4(347,827) = 6616 Sum = 4029.314606514209148 Averaged sum = 0.4025691484178448544 logp*logq = 39.29462146944543073 -------------- ************************************* p = 347; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117916162565879678.9 -------------- Searches starting with [347,829]-exponents: u = 8, v = 20 n_start has 79 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(347,829) = 0.7508999854420589770 D2(347,829) = 0.02800016126036995769 C1(347,829) = 1.083402751225140212 C2(347,829) = 1.744592573560011076 C3(347,829) = 6.777733131705602102 C4(347,829) = 6632 Sum = 4208.484023197894125 Averaged sum = 0.4204699793383848661 logp*logq = 39.30875028013120722 -------------- ************************************* p = 347; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126483329168197120.6 -------------- Searches starting with [347,839]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(347,839) = 1.090608490404008318 D2(347,839) = 0.06362620024215337766 C1(347,839) = 1.559212638512923796 C2(347,839) = 1.898691182735902029 C3(347,839) = 15.70655569228173688 C4(347,839) = 6712 Sum = 4682.655714435928254 Averaged sum = 0.4678445113833478124 logp*logq = 39.37888690916218024 -------------- ************************************* p = 347; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139339034451465547.4 -------------- Searches starting with [347,853]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(347,853) = 1.142835617798053049 D2(347,853) = 0.07167541156358795695 C1(347,853) = 1.888269172558659828 C2(347,853) = 1.173734614021852071 C3(347,853) = 28.08679039845028151 C4(347,853) = 6824 Sum = 3064.064893060866236 Averaged sum = 0.3061309714317980054 logp*logq = 39.47568645504603098 -------------- ************************************* p = 347; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 143204742525938984.8 -------------- Searches starting with [347,857]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(347,857) = 0.6455129226839050568 D2(347,857) = 0.09656314615933366795 C1(347,857) = 0.8808850064428674826 C2(347,857) = 1.436228707863182050 C3(347,857) = 4.739493600037471264 C4(347,857) = 6856 Sum = 4207.678035310590981 Averaged sum = 0.4203894530233380938 logp*logq = 39.50305176708673303 -------------- ************************************* p = 347; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 145170682093497474.9 -------------- Searches starting with [347,859]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(347,859) = 0.6795324330880778725 D2(347,859) = 0.09335427915345057453 C1(347,859) = 0.9519064816598773108 C2(347,859) = 1.953110403833890833 C3(347,859) = 5.372951522615868234 C4(347,859) = 6872 Sum = 4368.437622837999781 Averaged sum = 0.4364509564230192607 logp*logq = 39.51668656295738470 -------------- ************************************* p = 347; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149169729285718445.0 -------------- Searches starting with [347,863]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(347,863) = 0.6165134420649592923 D2(347,863) = 0.07626443102258801520 C1(347,863) = 0.8365612700942573673 C2(347,863) = 1.936919815912869505 C3(347,863) = 4.382591062822846374 C4(347,863) = 6904 Sum = 4156.301825820135083 Averaged sum = 0.4152564517754156342 logp*logq = 39.54386117527108623 -------------- ************************************* p = 347; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 163893016583717332.0 -------------- Searches starting with [347,877]-exponents: u = 22, v = 6 n_start has 74 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(347,877) = 0.6951664881463296876 D2(347,877) = 0.02257501905086821883 C1(347,877) = 0.9648041599986032004 C2(347,877) = 1.886344851479464822 C3(347,877) = 5.496760380043805957 C4(347,877) = 7016 Sum = 4004.418680680669144 Averaged sum = 0.4000817944530591612 logp*logq = 39.63799027196577219 -------------- ************************************* p = 347; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168314122566175648.1 -------------- Searches starting with [347,881]-exponents: u = 22, v = 6 n_start has 74 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(347,881) = 0.9329965643974579133 D2(347,881) = 0.008650666226397264415 C1(347,881) = 1.271029487912599668 C2(347,881) = 1.873301081405305301 C3(347,881) = 9.440913330517175269 C4(347,881) = 7048 Sum = 4132.731077115484819 Averaged sum = 0.4129014963648201437 logp*logq = 39.66460840563611462 -------------- ************************************* p = 347; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 170561475425867623.1 -------------- Searches starting with [347,883]-exponents: u = 22, v = 6 n_start has 74 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(347,883) = 0.7050930226164662055 D2(347,883) = 0.001885149864358527383 C1(347,883) = 0.9578553891750789066 C2(347,883) = 1.866974336728694738 C3(347,883) = 5.429706607393617396 C4(347,883) = 7064 Sum = 4032.427530872805616 Averaged sum = 0.4028801609424323725 logp*logq = 39.67787218633074289 -------------- ************************************* p = 347; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175130859411623411.3 -------------- Searches starting with [347,887]-exponents: u = 29, v = 6 n_start has 92 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(347,887) = 0.6099605513631675871 D2(347,887) = 0.08455121546007239414 C1(347,887) = 0.8471008798036844617 C2(347,887) = 1.838778003699782927 C3(347,887) = 4.464943255194540581 C4(347,887) = 7096 Sum = 3990.374419720223261 Averaged sum = 0.3986786312039387812 logp*logq = 39.70430985746137338 -------------- ************************************* p = 347; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199528801337373551.1 -------------- Searches starting with [347,907]-exponents: u = 78, v = 6 n_start has 216 digits starting right neighbors generation We generated 2656 left neighbors We generated 7354 right neighbors We generated 10009 non-negative rho_i D1(347,907) = 0.5688295915628909225 D2(347,907) = 0.02653279188051443244 C1(347,907) = 0.7660796973978605866 C2(347,907) = 1.650043821919445578 C3(347,907) = 3.869582676066214509 C4(347,907) = 7256 Sum = 3888.761174975878761 Averaged sum = 0.3885264436982594426 logp*logq = 39.83473498842648592 -------------- ************************************* p = 347; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204731269366451905.7 -------------- Searches starting with [347,911]-exponents: u = 113, v = 6 n_start has 305 digits --- performed 5000 steps in the continued fraction search [347,911]-exponents: u = 27, v = 12 --- starting right neighbors generation We generated 5535 left neighbors We generated 4475 right neighbors We generated 10009 non-negative rho_i D1(347,911) = 0.5874561122393552907 D2(347,911) = 0.006451896298555169125 C1(347,911) = 0.8041970903424386198 C2(347,911) = 1.585113580002794150 C3(347,911) = 4.139083624726608464 C4(347,911) = 7288 Sum = 4421.396548823534581 Averaged sum = 0.4417420870040498132 logp*logq = 39.86047463295353800 -------------- ************************************* p = 347; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 215473988933013545.3 -------------- Searches starting with [347,919]-exponents: u = 1226, v = 6 n_start has 3133 digits --- performed 5000 steps in the continued fraction search [347,919]-exponents: u = 617, v = 524 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(347,919) = 0.7297791092782085025 D2(347,919) = 0.4916522106146997989 C1(347,919) = 0.9110384481394358913 C2(347,919) = 1.494655656250346886 C3(347,919) = 4.998766138240283440 C4(347,919) = 7352 Sum = 5847.239051964515437 Averaged sum = 0.5847823834347950231 logp*logq = 39.91161659616263730 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(347,919) = 0.7297791092782085025 D2(347,919) = 0.4916522106146997989 C1(347,919) = 0.9110384481394358913 C2(347,919) = 1.494655656250346886 C3(347,919) = 4.998766138240283440 C4(347,919) = 7352 Sum = 5847.239051964515437 Averaged sum = 0.5847823834347950231 logp*logq = 39.91161659616263730 -------------- ************************************* p = 347; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 229555584833328624.0 -------------- Searches starting with [347,929]-exponents: u = 7, v = 95 n_start has 300 digits starting right neighbors generation We generated 5388 left neighbors We generated 4622 right neighbors We generated 10009 non-negative rho_i D1(347,929) = 0.5645203222388461302 D2(347,929) = 0.001886573072001419050 C1(347,929) = 0.7735316345255565725 C2(347,929) = 1.596737897878107311 C3(347,929) = 3.920852942929575515 C4(347,929) = 7432 Sum = 4401.781104028880089 Averaged sum = 0.4397823063271935347 logp*logq = 39.97492159479516339 -------------- ************************************* p = 347; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 241362629477974848.8 -------------- Searches starting with [347,937]-exponents: u = 7, v = 47 n_start has 158 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(347,937) = 0.9332728406403873809 D2(347,937) = 0.01256001031971120514 C1(347,937) = 1.332693878718761977 C2(347,937) = 1.720541765769794626 C3(347,937) = 10.52730289146590335 C4(347,937) = 7496 Sum = 5096.225108568708113 Averaged sum = 0.5091642630201526739 logp*logq = 40.02507688412531106 -------------- ************************************* p = 347; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247452285695152232.5 -------------- Searches starting with [347,941]-exponents: u = 7, v = 41 n_start has 140 digits starting right neighbors generation We generated 1057 left neighbors We generated 8953 right neighbors We generated 10009 non-negative rho_i D1(347,941) = 0.7183112390241452268 D2(347,941) = 0.04242189994265131487 C1(347,941) = 0.9711916893372768977 C2(347,941) = 1.751054042548305085 C3(347,941) = 5.559128534161213993 C4(347,941) = 7528 Sum = 3867.961255392901447 Averaged sum = 0.3864483220494456436 logp*logq = 40.04999417326390794 -------------- ************************************* p = 347; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 256825230153224400.0 -------------- Searches starting with [347,947]-exponents: u = 7, v = 29 n_start has 105 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(347,947) = 0.9173475422138471388 D2(347,947) = 0.01566809245188045021 C1(347,947) = 1.237809750256491824 C2(347,947) = 1.811194075042864769 C3(347,947) = 8.902889015413904832 C4(347,947) = 7576 Sum = 3974.590804496793602 Averaged sum = 0.3971016889296426818 logp*logq = 40.08717221016066678 -------------- ************************************* p = 347; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 266490618917589641.2 -------------- Searches starting with [347,953]-exponents: u = 7, v = 23 n_start has 87 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(347,953) = 0.7916421059434349116 D2(347,953) = 0.04590115370034879759 C1(347,953) = 1.079369307465480168 C2(347,953) = 1.842444630481190515 C3(347,953) = 6.729617602263244609 C4(347,953) = 7624 Sum = 4134.122857640683682 Averaged sum = 0.4130405492697256152 logp*logq = 40.12411543683731149 -------------- ************************************* p = 347; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 290221146590305379.7 -------------- Searches starting with [347,967]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(347,967) = 0.5606467987382727396 D2(347,967) = 0.1276874508338258454 C1(347,967) = 0.7697371143997335454 C2(347,967) = 1.926579965320886566 C3(347,967) = 3.894661842427350775 C4(347,967) = 7736 Sum = 4027.566497535589468 Averaged sum = 0.4023944947083214575 logp*logq = 40.20941960172837137 -------------- ************************************* p = 347; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 297314071728141018.8 -------------- Searches starting with [347,971]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(347,971) = 0.8014709779749588016 D2(347,971) = 0.1453275665806127695 C1(347,971) = 1.093710140098095482 C2(347,971) = 1.503973941272044655 C3(347,971) = 6.902260116210035126 C4(347,971) = 7768 Sum = 4289.626169663413021 Averaged sum = 0.4285768977583587792 logp*logq = 40.23356545554081124 -------------- ************************************* p = 347; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 308222515821904610.0 -------------- Searches starting with [347,977]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(347,977) = 0.6490677419816317746 D2(347,977) = 0.008539660229184570027 C1(347,977) = 0.8835028156737556695 C2(347,977) = 1.938830886815289931 C3(347,977) = 4.761459313291489340 C4(347,977) = 7816 Sum = 3985.602130584381349 Averaged sum = 0.3982018314101689828 logp*logq = 40.26959837100723952 -------------- ************************************* p = 347; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 319460706049596935.5 -------------- Searches starting with [347,983]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(347,983) = 0.5756770630978579956 D2(347,983) = 0.02220881260587572165 C1(347,983) = 0.8039587606054808820 C2(347,983) = 1.953573543684367044 C3(347,983) = 4.137341569397255313 C4(347,983) = 7864 Sum = 4139.204534129923140 Averaged sum = 0.4135482599790112039 logp*logq = 40.30541067540464603 -------------- ************************************* p = 347; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334971509026182856.6 -------------- Searches starting with [347,991]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(347,991) = 0.7059876230599282630 D2(347,991) = 0.04103424498765527827 C1(347,991) = 1.031697821032549806 C2(347,991) = 1.973819970496883533 C3(347,991) = 6.186162390112701750 C4(347,991) = 7928 Sum = 4047.360667895130156 Averaged sum = 0.4043721318708292692 logp*logq = 40.35282187543595619 -------------- ************************************* p = 347; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 347009925465324607.5 -------------- Searches starting with [347,997]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(347,997) = 0.6457013204758372691 D2(347,997) = 0.05565781971522244565 C1(347,997) = 0.8712683134461028982 C2(347,997) = 1.989501637625124520 C3(347,997) = 4.659667424491661297 C4(347,997) = 7976 Sum = 3810.801802817501607 Averaged sum = 0.3807375165168849642 logp*logq = 40.38812977809493657 -------------- ************************************* p = 349; q = 353; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 826806993857537.6035 -------------- Searches starting with [349,353]-exponents: u = 1, v = 513 n_start has 1310 digits --- performed 5000 steps in the continued fraction search [349,353]-exponents: u = 419, v = 86 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(349,353) = 0.5895932910925440715 D2(349,353) = 0.1797068651434956989 C1(349,353) = 0.7565199697014843970 C2(349,353) = 1.176207794937142923 C3(349,353) = 3.807618800836747535 C4(349,353) = 2824 Sum = 5585.986335615108042 Averaged sum = 0.5586544990114119454 logp*logq = 34.34859240264757582 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(349,353) = 0.5895932910925440715 D2(349,353) = 0.1797068651434956989 C1(349,353) = 0.7565199697014843970 C2(349,353) = 1.176207794937142923 C3(349,353) = 3.807618800836747535 C4(349,353) = 2824 Sum = 5585.986335615108042 Averaged sum = 0.5586544990114119454 logp*logq = 34.34859240264757582 -------------- ************************************* p = 349; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 912560705823867.0180 -------------- Searches starting with [349,359]-exponents: u = 1, v = 207 n_start has 532 digits --- performed 5000 steps in the continued fraction search [349,359]-exponents: u = 125, v = 58 --- starting right neighbors generation We generated 5108 left neighbors We generated 4902 right neighbors We generated 10009 non-negative rho_i D1(349,359) = 0.6934058146504835960 D2(349,359) = 0.002275157032511665764 C1(349,359) = 0.9229991556424948408 C2(349,359) = 1.142809568708348935 C3(349,359) = 5.110125946629760685 C4(349,359) = 2872 Sum = 5002.092167342095898 Averaged sum = 0.4997594332442897290 logp*logq = 34.44727572610264192 -------------- ************************************* p = 349; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1038255553147240.345 -------------- Searches starting with [349,367]-exponents: u = 1, v = 116 n_start has 301 digits starting right neighbors generation We generated 1664 left neighbors We generated 8346 right neighbors We generated 10009 non-negative rho_i D1(349,367) = 0.5868384900883481681 D2(349,367) = 0.005647356675104042861 C1(349,367) = 0.8046237607707719492 C2(349,367) = 1.251211921817320795 C3(349,367) = 4.145478554636993364 C4(349,367) = 2936 Sum = 4411.029221580833018 Averaged sum = 0.4407062865002330920 logp*logq = 34.57631834698975037 -------------- ************************************* p = 349; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1141668906641197.107 -------------- Searches starting with [349,373]-exponents: u = 1, v = 88 n_start has 229 digits starting right neighbors generation We generated 1013 left neighbors We generated 8997 right neighbors We generated 10009 non-negative rho_i D1(349,373) = 0.9575148437464265382 D2(349,373) = 0.008448760311916282701 C1(349,373) = 1.334517029222931921 C2(349,373) = 1.312542201263724906 C3(349,373) = 10.57510862456495128 C4(349,373) = 2984 Sum = 4089.203424855226858 Averaged sum = 0.4085526451049282504 logp*logq = 34.67126753997632594 -------------- ************************************* p = 349; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1253481809229147.008 -------------- Searches starting with [349,379]-exponents: u = 1, v = 71 n_start has 186 digits starting right neighbors generation We generated 684 left neighbors We generated 9326 right neighbors We generated 10009 non-negative rho_i D1(349,379) = 1.511394472130893625 D2(349,379) = 0.01144399228915924278 C1(349,379) = 2.135969795920520411 C2(349,379) = 1.364650817056643689 C3(349,379) = 43.59389458153353005 C4(349,379) = 3032 Sum = 3856.127981165821097 Averaged sum = 0.3852660586637847034 logp*logq = 34.76470152143846681 -------------- ************************************* p = 349; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1332952307875359.812 -------------- Searches starting with [349,383]-exponents: u = 1, v = 62 n_start has 163 digits starting right neighbors generation We generated 483 left neighbors We generated 9527 right neighbors We generated 10009 non-negative rho_i D1(349,383) = 1.086050033884955995 D2(349,383) = 0.01550167780691077966 C1(349,383) = 1.547564623223240213 C2(349,383) = 1.397544773081274385 C3(349,383) = 15.41010978847294431 C4(349,383) = 3064 Sum = 5993.767159256271827 Averaged sum = 0.5988377619398812895 logp*logq = 34.82617265742921797 -------------- ************************************* p = 349; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1459960784949749.910 -------------- Searches starting with [349,389]-exponents: u = 1, v = 53 n_start has 140 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(349,389) = 0.9421003590703956482 D2(349,389) = 0.01681570299771347324 C1(349,389) = 1.357584095768458891 C2(349,389) = 1.438629925814150447 C3(349,389) = 11.01512815116121174 C4(349,389) = 3112 Sum = 5467.809195809777844 Averaged sum = 0.5462892592476548950 logp*logq = 34.91718597064674522 -------------- ************************************* p = 349; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1644770574973115.175 -------------- Searches starting with [349,397]-exponents: u = 1, v = 45 n_start has 120 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(349,397) = 0.6500655545981990202 D2(349,397) = 0.04722502075283531353 C1(349,397) = 0.9035329609914539878 C2(349,397) = 1.512587501854875056 C3(349,397) = 4.937313137779478171 C4(349,397) = 3176 Sum = 4347.232656641578120 Averaged sum = 0.4343323665342769627 logp*logq = 35.03637730129999070 -------------- ************************************* p = 349; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1744204993766245.851 -------------- Searches starting with [349,401]-exponents: u = 1, v = 42 n_start has 112 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(349,401) = 0.6907905137174825765 D2(349,401) = 0.04549492334014367611 C1(349,401) = 1.015385789768210922 C2(349,401) = 1.532764496041663053 C3(349,401) = 6.016464019258058626 C4(349,401) = 3208 Sum = 2997.631616302807907 Averaged sum = 0.2994936173746436115 logp*logq = 35.09507525578707794 -------------- ************************************* p = 349; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1958068177279202.563 -------------- Searches starting with [349,409]-exponents: u = 1, v = 36 n_start has 97 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(349,409) = 0.7790439422300533786 D2(349,409) = 0.02880705504635557227 C1(349,409) = 1.157539667089358491 C2(349,409) = 1.558545223517263439 C3(349,409) = 7.734798544982056978 C4(349,409) = 3272 Sum = 4555.313669348429919 Averaged sum = 0.4551217573532250893 logp*logq = 35.21073475826939643 -------------- ************************************* p = 349; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2255546058550854.087 -------------- Searches starting with [349,419]-exponents: u = 1, v = 32 n_start has 87 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(349,419) = 0.9877921436022784120 D2(349,419) = 0.05828606456370951682 C1(349,419) = 1.487075336123081250 C2(349,419) = 1.629780102956043677 C3(349,419) = 13.84771941372639647 C4(349,419) = 3352 Sum = 2541.846140832708721 Averaged sum = 0.2539560536349993726 logp*logq = 35.35216849311864814 -------------- ************************************* p = 349; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2319318623471889.412 -------------- Searches starting with [349,421]-exponents: u = 1, v = 31 n_start has 84 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(349,421) = 0.6079921571755668452 D2(349,421) = 0.03672242660850580863 C1(349,421) = 0.9180495121148073574 C2(349,421) = 1.619650551590892733 C3(349,421) = 5.065619828334438219 C4(349,421) = 3368 Sum = 4053.856982398039378 Averaged sum = 0.4050211791785432488 logp*logq = 35.38004984067220033 -------------- ************************************* p = 349; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2661055265566246.506 -------------- Searches starting with [349,431]-exponents: u = 1, v = 27 n_start has 74 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(349,431) = 0.8218540373672475390 D2(349,431) = 0.04831966495195190112 C1(349,431) = 1.127963673208462797 C2(349,431) = 1.670424352814535124 C3(349,431) = 7.340885973512936618 C4(349,431) = 3448 Sum = 4426.668197187242314 Averaged sum = 0.4422687778186874127 logp*logq = 35.51749915541144479 -------------- ************************************* p = 349; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2734174667360339.718 -------------- Searches starting with [349,433]-exponents: u = 1, v = 27 n_start has 74 digits starting right neighbors generation We generated 134 left neighbors We generated 9876 right neighbors We generated 10009 non-negative rho_i D1(349,433) = 0.6712583981320675493 D2(349,433) = 0.005682897321814896546 C1(349,433) = 1.027296039527554113 C2(349,433) = 1.641761126902649937 C3(349,433) = 6.144447310021397444 C4(349,433) = 3464 Sum = 3837.184500134544171 Averaged sum = 0.3833734139409076003 logp*logq = 35.54460601828233367 -------------- ************************************* p = 349; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2963601581621977.858 -------------- Searches starting with [349,439]-exponents: u = 1, v = 25 n_start has 69 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(349,439) = 0.8136860469098524557 D2(349,439) = 0.04953292288131035055 C1(349,439) = 1.175887372123027085 C2(349,439) = 1.701738269474339060 C3(349,439) = 7.989718200416824550 C4(349,439) = 3512 Sum = 4419.335565058039508 Averaged sum = 0.4415361739492496261 logp*logq = 35.62518167415358340 -------------- ************************************* p = 349; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3125245598630872.831 -------------- Searches starting with [349,443]-exponents: u = 1, v = 24 n_start has 67 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(349,443) = 0.6541969632055965706 D2(349,443) = 0.03633178152088037832 C1(349,443) = 0.9482565698164226251 C2(349,443) = 1.704880148996349819 C3(349,443) = 5.343397508602301771 C4(349,443) = 3544 Sum = 4040.052077945440469 Averaged sum = 0.4036419300574923038 logp*logq = 35.67828926657277439 -------------- ************************************* p = 349; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3381373011246669.837 -------------- Searches starting with [349,449]-exponents: u = 1, v = 23 n_start has 64 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(349,449) = 0.7080624428488448991 D2(349,449) = 0.05711750761401454972 C1(349,449) = 0.9816020444759422726 C2(349,449) = 1.743670616126139009 C3(349,449) = 5.667756847401263025 C4(349,449) = 3592 Sum = 4155.016753710544004 Averaged sum = 0.4151280601169491462 logp*logq = 35.75705823826725841 -------------- ************************************* p = 349; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3749735707480864.813 -------------- Searches starting with [349,457]-exponents: u = 1, v = 21 n_start has 59 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(349,457) = 0.5323259630527258447 D2(349,457) = 0.1102392779710492444 C1(349,457) = 0.7552919613101123180 C2(349,457) = 1.816566999181792586 C3(349,457) = 3.799364202860722458 C4(349,457) = 3656 Sum = 4296.357581948275752 Averaged sum = 0.4292494337044935310 logp*logq = 35.86046175440421069 -------------- ************************************* p = 349; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3946031042238218.545 -------------- Searches starting with [349,461]-exponents: u = 1, v = 21 n_start has 59 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(349,461) = 0.9423025380327767433 D2(349,461) = 0.05691740607683987686 C1(349,461) = 1.481079299095331937 C2(349,461) = 1.782960964613799699 C3(349,461) = 13.70175202802113151 C4(349,461) = 3688 Sum = 1853.782702052154376 Averaged sum = 0.1852115797834103683 logp*logq = 35.91148666924099185 -------------- ************************************* p = 349; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4047328142921892.916 -------------- Searches starting with [349,463]-exponents: u = 1, v = 20 n_start has 56 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(349,463) = 0.5358295869140019889 D2(349,463) = 0.09924620002554615080 C1(349,463) = 0.7626892925339628331 C2(349,463) = 1.825943520358502829 C3(349,463) = 3.849360776454910159 C4(349,463) = 3704 Sum = 4288.721681792890349 Averaged sum = 0.4284865303020172194 logp*logq = 35.93683334052252717 -------------- ************************************* p = 349; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4256398866488155.198 -------------- Searches starting with [349,467]-exponents: u = 1, v = 20 n_start has 56 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(349,467) = 0.7261749128844868949 D2(349,467) = 0.03580462108627230061 C1(349,467) = 1.147744330552796493 C2(349,467) = 1.783652984844070908 C3(349,467) = 7.602050851005265263 C4(349,467) = 3736 Sum = 3836.139299346074704 Averaged sum = 0.3832689878455464785 logp*logq = 35.98719986118844782 -------------- ************************************* p = 349; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4938069598178051.252 -------------- Searches starting with [349,479]-exponents: u = 1, v = 18 n_start has 51 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(349,479) = 0.9708574005351337250 D2(349,479) = 0.1084180057954270243 C1(349,479) = 1.439200638411616782 C2(349,479) = 1.881641557315853273 C3(349,479) = 12.72427016150241102 C4(349,479) = 3832 Sum = 4325.870298076855537 Averaged sum = 0.4321980515612804013 logp*logq = 36.13575088014059553 -------------- ************************************* p = 349; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5440957842310625.813 -------------- Searches starting with [349,487]-exponents: u = 1, v = 17 n_start has 49 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(349,487) = 0.8823939634329783566 D2(349,487) = 0.08113978655025796654 C1(349,487) = 1.202774513257860953 C2(349,487) = 1.880327567951025556 C3(349,487) = 8.378537338364596255 C4(349,487) = 3896 Sum = 4261.344617012613273 Averaged sum = 0.4257512855442714830 logp*logq = 36.23273151423349632 -------------- ************************************* p = 349; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5707891181559269.912 -------------- Searches starting with [349,491]-exponents: u = 1, v = 17 n_start has 49 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(349,491) = 0.6303061360080383134 D2(349,491) = 0.1363507671978892486 C1(349,491) = 1.015770237670509822 C2(349,491) = 1.391207374886524459 C3(349,491) = 6.020553222328099221 C4(349,491) = 3928 Sum = 4201.629920207985058 Averaged sum = 0.4197851853539799239 logp*logq = 36.28062603014580583 -------------- ************************************* p = 349; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6274407887624448.129 -------------- Searches starting with [349,499]-exponents: u = 1, v = 16 n_start has 46 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(349,499) = 0.8393890172188690776 D2(349,499) = 0.09991071410587018288 C1(349,499) = 1.140020961052974785 C2(349,499) = 1.928515564327911882 C3(349,499) = 7.498991050051037378 C4(349,499) = 3992 Sum = 4268.955135563807236 Averaged sum = 0.4265116530686189665 logp*logq = 36.37525551493836065 -------------- ************************************* p = 349; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6574683562759536.123 -------------- Searches starting with [349,503]-exponents: u = 1, v = 16 n_start has 46 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(349,503) = 1.084761054215395045 D2(349,503) = 0.1001300124145794667 C1(349,503) = 1.761432047322320431 C2(349,503) = 1.115974838761475388 C3(349,503) = 22.48826108306031675 C4(349,503) = 4024 Sum = 1485.108403567742928 Averaged sum = 0.1483773007860668326 logp*logq = 36.42200284447940339 -------------- ************************************* p = 349; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7047373494101221.091 -------------- Searches starting with [349,509]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(349,509) = 0.8474883993835186920 D2(349,509) = 0.05806102135598773361 C1(349,509) = 1.275858337981175028 C2(349,509) = 1.918032427986204492 C3(349,509) = 9.533720173073575823 C4(349,509) = 4072 Sum = 3846.588303098620863 Averaged sum = 0.3843129486560716218 logp*logq = 36.49143138829117378 -------------- ************************************* p = 349; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8077561455142936.796 -------------- Searches starting with [349,521]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(349,521) = 0.5947494474273464757 D2(349,521) = 0.02184610562362162789 C1(349,521) = 0.8360139719647509498 C2(349,521) = 1.916875221801647035 C3(349,521) = 4.381952562486377692 C4(349,521) = 4168 Sum = 4253.093231197836299 Averaged sum = 0.4249268889197558496 logp*logq = 36.62786642178680002 -------------- ************************************* p = 349; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8260815240623025.320 -------------- Searches starting with [349,523]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(349,523) = 0.7441483954963721734 D2(349,523) = 0.04631901711946308863 C1(349,523) = 1.127125833454855860 C2(349,523) = 1.941955339987727190 C3(349,523) = 7.330024212109736789 C4(349,523) = 4184 Sum = 3420.968278569979065 Averaged sum = 0.3417892175611928329 logp*logq = 36.65029967498529138 -------------- ************************************* p = 349; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10070860141416802.08 -------------- Searches starting with [349,541]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(349,541) = 0.6236449699421654731 D2(349,541) = 0.04791426754397893261 C1(349,541) = 0.9166922274526087202 C2(349,541) = 1.984099444028440965 C3(349,541) = 5.053483283314658215 C4(349,541) = 4328 Sum = 3979.445868788751805 Averaged sum = 0.3975867587959588175 logp*logq = 36.84842251422148152 -------------- ************************************* p = 349; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10742681941311451.89 -------------- Searches starting with [349,547]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(349,547) = 0.9811236997870901471 D2(349,547) = 0.07121103538070370444 C1(349,547) = 1.638196821227288116 C2(349,547) = 1.124528536458518505 C3(349,547) = 18.08709694065596334 C4(349,547) = 4376 Sum = 2676.703475480116879 Averaged sum = 0.2674296608532437684 logp*logq = 36.91300116802365944 -------------- ************************************* p = 349; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11944821267141563.89 -------------- Searches starting with [349,557]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(349,557) = 0.7444378771369174315 D2(349,557) = 0.1038952609861570107 C1(349,557) = 1.143641140191979569 C2(349,557) = 1.790603676350630413 C3(349,557) = 7.547123198993842071 C4(349,557) = 4456 Sum = 3436.720415741993563 Averaged sum = 0.3433630148608246141 logp*logq = 37.01907421259129294 -------------- ************************************* p = 349; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12718165569361454.70 -------------- Searches starting with [349,563]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(349,563) = 0.7714226870682294752 D2(349,563) = 0.04888661857344922230 C1(349,563) = 1.114808446249337450 C2(349,563) = 2.031282744641404525 C3(349,563) = 7.172183913208132273 C4(349,563) = 4504 Sum = 3704.546689398594534 Averaged sum = 0.3701215595362768043 logp*logq = 37.08180772617733008 -------------- ************************************* p = 349; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13532575958984755.18 -------------- Searches starting with [349,569]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(349,569) = 1.047660334996297511 D2(349,569) = 0.06213902764339835907 C1(349,569) = 1.769522066960125236 C2(349,569) = 1.132142321971334223 C3(349,569) = 22.81209783687053135 C4(349,569) = 4552 Sum = 3500.789406840089058 Averaged sum = 0.3497641529463571843 logp*logq = 37.14387620766242450 -------------- ************************************* p = 349; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13813466446903947.28 -------------- Searches starting with [349,571]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(349,571) = 0.6730860709093262134 D2(349,571) = 0.08986831004342182479 C1(349,571) = 1.136857639496058181 C2(349,571) = 1.364573180129101247 C3(349,571) = 7.457184427974154634 C4(349,571) = 4568 Sum = 4068.434635436356518 Averaged sum = 0.4064776336733296551 logp*logq = 37.16442034074756069 -------------- ************************************* p = 349; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14685305170131452.92 -------------- Searches starting with [349,577]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(349,577) = 0.6353619853757173763 D2(349,577) = 0.08694253970027657975 C1(349,577) = 0.9440503432036954070 C2(349,577) = 1.810018830946823748 C3(349,577) = 5.303823571831021035 C4(349,577) = 4616 Sum = 3831.649771837829724 Averaged sum = 0.3828204387888729867 logp*logq = 37.22562374042341470 -------------- ************************************* p = 349; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16239595568539630.32 -------------- Searches starting with [349,587]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(349,587) = 0.6692190012406339965 D2(349,587) = 0.01845450892277841440 C1(349,587) = 0.9731230688482496553 C2(349,587) = 2.053236974210350720 C3(349,587) = 5.583458894291528587 C4(349,587) = 4696 Sum = 4138.031385525905299 Averaged sum = 0.4134310506070441901 logp*logq = 37.32622882591907457 -------------- ************************************* p = 349; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17235928103821487.97 -------------- Searches starting with [349,593]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(349,593) = 0.8771075824112669467 D2(349,593) = 0.04847190211257222897 C1(349,593) = 1.501006350792336206 C2(349,593) = 1.194861303167422645 C3(349,593) = 14.19288742263166741 C4(349,593) = 4744 Sum = 3820.122589405140964 Averaged sum = 0.3816687570591608516 logp*logq = 37.38577244337578403 -------------- ************************************* p = 349; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18282425136817528.46 -------------- Searches starting with [349,599]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(349,599) = 0.6637929652407700065 D2(349,599) = 0.06944848571795214600 C1(349,599) = 0.9390045276318116295 C2(349,599) = 1.833644787131953148 C3(349,599) = 5.256736923275282803 C4(349,599) = 4792 Sum = 3787.429062637128364 Averaged sum = 0.3784023441539742596 logp*logq = 37.44471661826519026 -------------- ************************************* p = 349; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18642746593384559.07 -------------- Searches starting with [349,601]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(349,601) = 0.5649931183873085059 D2(349,601) = 0.06778626493670905898 C1(349,601) = 0.7791091380476601767 C2(349,601) = 1.832586117711337370 C3(349,601) = 3.962701665350221508 C4(349,601) = 4808 Sum = 4078.982031463709688 Averaged sum = 0.4075314248639933747 logp*logq = 37.46423354274377144 -------------- ************************************* p = 349; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19759227397680323.16 -------------- Searches starting with [349,607]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(349,607) = 0.5683317642983207720 D2(349,607) = 0.06287853500831719924 C1(349,607) = 0.7969000580469197224 C2(349,607) = 1.829476829273373998 C3(349,607) = 4.089276549356223341 C4(349,607) = 4856 Sum = 4214.894801678551614 Averaged sum = 0.4211104807351934872 logp*logq = 37.52239698715833321 -------------- ************************************* p = 349; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20930594242114116.36 -------------- Searches starting with [349,613]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(349,613) = 0.7116475618733267535 D2(349,613) = 0.05338136995279659571 C1(349,613) = 1.022724653367250078 C2(349,613) = 1.678560396529276990 C3(349,613) = 6.095006009742047709 C4(349,613) = 4904 Sum = 4235.614417376757130 Averaged sum = 0.4231805792163809701 logp*logq = 37.57998832284869156 -------------- ************************************* p = 349; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21743042706184541.82 -------------- Searches starting with [349,617]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(349,617) = 0.6024777696773896181 D2(349,617) = 0.04779284185071023041 C1(349,617) = 0.8233714316150314749 C2(349,617) = 1.586862685465774194 C3(349,617) = 4.285131111326039826 C4(349,617) = 4936 Sum = 4219.729627990928977 Averaged sum = 0.4215935286233318990 logp*logq = 37.61807022569655099 -------------- ************************************* p = 349; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22158968216021875.16 -------------- Searches starting with [349,619]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(349,619) = 0.5863584822999668083 D2(349,619) = 0.04460310440231564786 C1(349,619) = 0.8108978410328193672 C2(349,619) = 1.523126592313312897 C3(349,619) = 4.191700376513357272 C4(349,619) = 4952 Sum = 4243.140014465678116 Averaged sum = 0.4239324622305603073 logp*logq = 37.63701869505695532 -------------- ************************************* p = 349; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24795523546109962.55 -------------- Searches starting with [349,631]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(349,631) = 0.6805375909092556326 D2(349,631) = 0.04533826928686981351 C1(349,631) = 0.9428556390636854154 C2(349,631) = 1.858901657719715500 C3(349,631) = 5.292636836996874176 C4(349,631) = 5048 Sum = 4397.285424749590251 Averaged sum = 0.4393331426465771057 logp*logq = 37.74943952961615856 -------------- ************************************* p = 349; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27186646375486529.38 -------------- Searches starting with [349,641]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(349,641) = 0.5744275360520803030 D2(349,641) = 0.03791747304786701850 C1(349,641) = 0.8029404820936997394 C2(349,641) = 1.854384100058307659 C3(349,641) = 4.133164610415470894 C4(349,641) = 5128 Sum = 4048.322651699384904 Averaged sum = 0.4044682437505629837 logp*logq = 37.84150230558341645 -------------- ************************************* p = 349; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27687084055611597.94 -------------- Searches starting with [349,643]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(349,643) = 0.6617311435925714549 D2(349,643) = 0.03646425089121764352 C1(349,643) = 0.9031509956558966996 C2(349,643) = 1.853505980062664827 C3(349,643) = 4.933981326771389050 C4(349,643) = 5144 Sum = 4191.417830895250699 Averaged sum = 0.4187648946843091916 logp*logq = 37.85974241978104146 -------------- ************************************* p = 349; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28710894923581471.37 -------------- Searches starting with [349,647]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(349,647) = 0.8322189294505890944 D2(349,647) = 0.03079988200620936976 C1(349,647) = 1.315311905639510151 C2(349,647) = 1.698078426285827121 C3(349,647) = 10.22219792453129625 C4(349,647) = 5176 Sum = 3083.867432245511076 Averaged sum = 0.3081094447242992382 logp*logq = 37.89605305970314460 -------------- ************************************* p = 349; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30305337929966470.96 -------------- Searches starting with [349,653]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(349,653) = 0.7224658268216181774 D2(349,653) = 0.02691116249271056454 C1(349,653) = 1.094298051594335335 C2(349,653) = 1.695847125392259732 C3(349,653) = 6.916860684050044664 C4(349,653) = 5224 Sum = 3624.156044606639823 Averaged sum = 0.3620897237093255892 logp*logq = 37.95010026121584295 -------------- ************************************* p = 349; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31972518173433261.06 -------------- Searches starting with [349,659]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(349,659) = 0.5832077236269587495 D2(349,659) = 0.02094950029674951408 C1(349,659) = 0.8453604747751235228 C2(349,659) = 1.536065486748225991 C3(349,659) = 4.454935431775931713 C4(349,659) = 5272 Sum = 4083.013318799320841 Averaged sum = 0.4079341911079349427 logp*logq = 38.00365312164412701 -------------- ************************************* p = 349; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32544857956836342.12 -------------- Searches starting with [349,661]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(349,661) = 0.9922527427396773857 D2(349,661) = 0.01918103311845435739 C1(349,661) = 1.418833572441164227 C2(349,661) = 1.486519318277927184 C3(349,661) = 12.27440649439916987 C4(349,661) = 5288 Sum = 5274.782526667731435 Averaged sum = 0.5270039491125718288 logp*logq = 38.02139577740980519 -------------- ************************************* p = 349; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36160264464394293.97 -------------- Searches starting with [349,673]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(349,673) = 0.8776779312175380597 D2(349,673) = 0.01620132210020180187 C1(349,673) = 1.202241102270191894 C2(349,673) = 1.888817626523552956 C3(349,673) = 8.370642599120637227 C4(349,673) = 5384 Sum = 4610.927030314553322 Averaged sum = 0.4606780927479821482 logp*logq = 38.12673724413563414 -------------- ************************************* p = 349; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37436930856526796.60 -------------- Searches starting with [349,677]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(349,677) = 0.7463885706484804640 D2(349,677) = 0.01352557261563265211 C1(349,677) = 1.069895241386697294 C2(349,677) = 1.887261201318668615 C3(349,677) = 6.624896305599340770 C4(349,677) = 5416 Sum = 3617.977091133769017 Averaged sum = 0.3614723839678058764 logp*logq = 38.16143406817401419 -------------- ************************************* p = 349; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39421856963681643.15 -------------- Searches starting with [349,683]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(349,683) = 0.5906921654176293578 D2(349,683) = 0.009573409558133706405 C1(349,683) = 0.8381032536505358411 C2(349,683) = 1.884975438436128439 C3(349,683) = 4.398162413517381768 C4(349,683) = 5464 Sum = 4097.756506415978588 Averaged sum = 0.4094071841758396031 logp*logq = 38.21309680267140571 -------------- ************************************* p = 349; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42203472764973127.07 -------------- Searches starting with [349,691]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(349,691) = 1.096754132478171406 D2(349,691) = 0.004414512162731597487 C1(349,691) = 1.557740110652921733 C2(349,691) = 1.882015328135107223 C3(349,691) = 15.68974002282941991 C4(349,691) = 5528 Sum = 5323.476674098589559 Averaged sum = 0.5318689853230681945 logp*logq = 38.28127890557560936 -------------- ************************************* p = 349; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45907502390141871.27 -------------- Searches starting with [349,701]-exponents: u = 19, v = 8 n_start has 72 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(349,701) = 0.7243396836211606068 D2(349,701) = 0.1284663046928810109 C1(349,701) = 1.056828630397371648 C2(349,701) = 1.848323277150591789 C3(349,701) = 6.473662289079302915 C4(349,701) = 5608 Sum = 4077.447331315085115 Averaged sum = 0.4073780928479453607 logp*logq = 38.36540494938618187 -------------- ************************************* p = 349; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49061263853414588.64 -------------- Searches starting with [349,709]-exponents: u = 28, v = 8 n_start has 95 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(349,709) = 0.6465338697655284687 D2(349,709) = 0.07428936236355915466 C1(349,709) = 0.9629822468099188163 C2(349,709) = 1.796227151287515103 C3(349,709) = 5.484283735332997816 C4(349,709) = 5672 Sum = 3769.230843512765173 Averaged sum = 0.3765841586085288413 logp*logq = 38.43184619479148841 -------------- ************************************* p = 349; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53254108088842468.30 -------------- Searches starting with [349,719]-exponents: u = 82, v = 8 n_start has 232 digits starting right neighbors generation We generated 3627 left neighbors We generated 6383 right neighbors We generated 10009 non-negative rho_i D1(349,719) = 0.8508839209058717110 D2(349,719) = 0.01756342202576018575 C1(349,719) = 1.184252137072157954 C2(349,719) = 1.742068990362190749 C3(349,719) = 8.108708507137924854 C4(349,719) = 5752 Sum = 4643.082832051823663 Averaged sum = 0.4638907815018307186 logp*logq = 38.51385134373283619 -------------- ************************************* p = 349; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56818502513060405.44 -------------- Searches starting with [349,727]-exponents: u = 9, v = 367 n_start has 1074 digits --- performed 5000 steps in the continued fraction search [349,727]-exponents: u = 11, v = 353 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(349,727) = 0.6086222926746704941 D2(349,727) = 0.3677029943599889655 C1(349,727) = 0.7871950855224168934 C2(349,727) = 1.484266987785657288 C3(349,727) = 4.019736661127217296 C4(349,727) = 5816 Sum = 5309.301873332819869 Averaged sum = 0.5309832856618481717 logp*logq = 38.57863841606265075 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(349,727) = 0.6086222926746704941 D2(349,727) = 0.3677029943599889655 C1(349,727) = 0.7871950855224168934 C2(349,727) = 1.484266987785657288 C3(349,727) = 4.019736661127217296 C4(349,727) = 5816 Sum = 5309.301873332819869 Averaged sum = 0.5309832856618481717 logp*logq = 38.57863841606265075 -------------- ************************************* p = 349; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59619706827380552.86 -------------- Searches starting with [349,733]-exponents: u = 9, v = 71 n_start has 227 digits starting right neighbors generation We generated 1723 left neighbors We generated 8287 right neighbors We generated 10009 non-negative rho_i D1(349,733) = 0.7763873935932210480 D2(349,733) = 0.01063803395172111665 C1(349,733) = 1.089512256950238758 C2(349,733) = 1.403210187311134676 C3(349,733) = 6.858604763563510230 C4(349,733) = 5864 Sum = 3877.183384115496539 Averaged sum = 0.3873697056764408571 logp*logq = 38.62676256579495707 -------------- ************************************* p = 349; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62534474696595351.32 -------------- Searches starting with [349,739]-exponents: u = 9, v = 39 n_start has 135 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(349,739) = 0.7373495649550727521 D2(349,739) = 0.03303757323033795525 C1(349,739) = 1.081715528468891739 C2(349,739) = 1.557991358669383748 C3(349,739) = 6.764746651331178140 C4(349,739) = 5912 Sum = 3289.808217273532895 Averaged sum = 0.3286850052226529019 logp*logq = 38.67449439472588355 -------------- ************************************* p = 349; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64542531057180467.28 -------------- Searches starting with [349,743]-exponents: u = 9, v = 23 n_start has 89 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(349,743) = 1.034166837414154910 D2(349,743) = 0.05202331816840344911 C1(349,743) = 1.548235104135762050 C2(349,743) = 1.704787061771392461 C3(349,743) = 15.42838076657924732 C4(349,743) = 5944 Sum = 4802.361167227349734 Averaged sum = 0.4798042928591617278 logp*logq = 38.70610079764159255 -------------- ************************************* p = 349; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68719288378532387.20 -------------- Searches starting with [349,751]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(349,751) = 0.5522720772900487435 D2(349,751) = 0.09243309601631692165 C1(349,751) = 0.8518442367080142717 C2(349,751) = 1.854325568634399045 C3(349,751) = 4.506277269624088295 C4(349,751) = 6008 Sum = 4140.882388767697100 Averaged sum = 0.4137158945716552203 logp*logq = 38.76880631715664747 -------------- ************************************* p = 349; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71996841670861880.74 -------------- Searches starting with [349,757]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(349,757) = 0.7195439211270335097 D2(349,757) = 0.1228844426167981384 C1(349,757) = 0.9780115756622059468 C2(349,757) = 1.886103357668083498 C3(349,757) = 5.631906158131363370 C4(349,757) = 6056 Sum = 4194.705864504482453 Averaged sum = 0.4190934023882987764 logp*logq = 38.81539864728213951 -------------- ************************************* p = 349; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74253067711778750.07 -------------- Searches starting with [349,761]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(349,761) = 0.8874619416443965286 D2(349,761) = 0.09907362023448029534 C1(349,761) = 1.441077806203274795 C2(349,761) = 1.224539553615367512 C3(349,761) = 12.76655346208066009 C4(349,761) = 6088 Sum = 3165.094715178753447 Averaged sum = 0.3162248691356532568 logp*logq = 38.84625548772356471 -------------- ************************************* p = 349; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78941664932257280.87 -------------- Searches starting with [349,769]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(349,769) = 0.7553745987931190444 D2(349,769) = 0.1070608945754307517 C1(349,769) = 1.024369476340812912 C2(349,769) = 1.889582654727491966 C3(349,769) = 6.112749415903492280 C4(349,769) = 6152 Sum = 3978.422582896789925 Averaged sum = 0.3974845222196812793 logp*logq = 38.90748555603340117 -------------- ************************************* p = 349; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81376435203664778.53 -------------- Searches starting with [349,773]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(349,773) = 0.8133634950277976814 D2(349,773) = 0.08501001269420512815 C1(349,773) = 1.131260719903597228 C2(349,773) = 1.868506834217673285 C3(349,773) = 7.383785430772143473 C4(349,773) = 6184 Sum = 4239.649195691686630 Averaged sum = 0.4235836942443487491 logp*logq = 38.93786213219528521 -------------- ************************************* p = 349; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90394153644720274.45 -------------- Searches starting with [349,787]-exponents: u = 33, v = 7 n_start has 105 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(349,787) = 1.159977414347391245 D2(349,787) = 0.01794832004649475500 C1(349,787) = 1.712017777591228853 C2(349,787) = 1.804817998537571055 C3(349,787) = 20.60766708888925117 C4(349,787) = 6296 Sum = 5493.556722415292356 Averaged sum = 0.5488616967144861979 logp*logq = 39.04295598814580910 -------------- ************************************* p = 349; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97330095845785711.66 -------------- Searches starting with [349,797]-exponents: u = 89, v = 7 n_start has 247 digits starting right neighbors generation We generated 3961 left neighbors We generated 6049 right neighbors We generated 10009 non-negative rho_i D1(349,797) = 0.8382835937546364245 D2(349,797) = 0.006423361743435172075 C1(349,797) = 1.168340523059292613 C2(349,797) = 1.692287944673595939 C3(349,797) = 7.883861968031859864 C4(349,797) = 6376 Sum = 4128.288499634842837 Averaged sum = 0.4124576380892040001 logp*logq = 39.11688464609930346 -------------- ************************************* p = 349; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106230136641610769.6 -------------- Searches starting with [349,809]-exponents: u = 8, v = 195 n_start has 588 digits --- performed 5000 steps in the continued fraction search [349,809]-exponents: u = 181, v = 20 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(349,809) = 1.156129251205601230 D2(349,809) = 0.2084561114485907595 C1(349,809) = 1.534004591230160544 C2(349,809) = 1.468390115953935493 C3(349,809) = 15.04520020348826653 C4(349,809) = 6472 Sum = 4891.234905736455226 Averaged sum = 0.4891724078144269652 logp*logq = 39.20438423598259310 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(349,809) = 1.156129251205601230 D2(349,809) = 0.2084561114485907595 C1(349,809) = 1.534004591230160544 C2(349,809) = 1.468390115953935493 C3(349,809) = 15.04520020348826653 C4(349,809) = 6472 Sum = 4891.234905736455226 Averaged sum = 0.4891724078144269652 logp*logq = 39.20438423598259310 -------------- ************************************* p = 349; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107777058036381601.3 -------------- Searches starting with [349,811]-exponents: u = 8, v = 118 n_start has 364 digits --- performed 5000 steps in the continued fraction search [349,811]-exponents: u = 21, v = 61 --- starting right neighbors generation We generated 8444 left neighbors We generated 1566 right neighbors We generated 10009 non-negative rho_i D1(349,811) = 0.7127388537226729775 D2(349,811) = 0.01434975309592380725 C1(349,811) = 0.9665508047558887081 C2(349,811) = 1.590678055935307430 C3(349,811) = 5.518980996283843066 C4(349,811) = 6488 Sum = 4538.106726183660479 Averaged sum = 0.4534026102691238364 logp*logq = 39.21884121103664214 -------------- ************************************* p = 349; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115794729065603973.6 -------------- Searches starting with [349,821]-exponents: u = 8, v = 41 n_start has 140 digits starting right neighbors generation We generated 1162 left neighbors We generated 8848 right neighbors We generated 10009 non-negative rho_i D1(349,821) = 0.6167036278215124683 D2(349,821) = 0.04287043236883112523 C1(349,821) = 0.8523602407988333812 C2(349,821) = 1.757366811782286614 C3(349,821) = 4.510388590819406067 C4(349,821) = 6568 Sum = 4104.455974533868688 Averaged sum = 0.4100765285776669686 logp*logq = 39.29059544144543743 -------------- ************************************* p = 349; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117456138043755025.3 -------------- Searches starting with [349,823]-exponents: u = 8, v = 34 n_start has 120 digits starting right neighbors generation We generated 798 left neighbors We generated 9212 right neighbors We generated 10009 non-negative rho_i D1(349,823) = 0.5740894005705627803 D2(349,823) = 0.05700644426026135608 C1(349,823) = 0.7815589885574683242 C2(349,823) = 1.771885637787127900 C3(349,823) = 3.979895936971799844 C4(349,823) = 6584 Sum = 4077.189166712142284 Averaged sum = 0.4073522996015728129 logp*logq = 39.30484136555899353 -------------- ************************************* p = 349; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120838295834945181.3 -------------- Searches starting with [349,827]-exponents: u = 8, v = 27 n_start has 100 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(349,827) = 0.6919431809462938660 D2(349,827) = 0.005427517885769629167 C1(349,827) = 0.9526106048665093669 C2(349,827) = 1.643056509024160533 C3(349,827) = 5.384673139427489318 C4(349,827) = 6616 Sum = 4166.531866560556258 Averaged sum = 0.4162785359736793144 logp*logq = 39.33322964867285429 -------------- ************************************* p = 349; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122559416670761059.0 -------------- Searches starting with [349,829]-exponents: u = 8, v = 27 n_start has 100 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(349,829) = 0.6360515781509894705 D2(349,829) = 0.01094425258022230461 C1(349,829) = 0.8796203467289453077 C2(349,829) = 1.648981834994326787 C3(349,829) = 4.733005073166272605 C4(349,829) = 6632 Sum = 4024.074715596334353 Averaged sum = 0.4020456304921904638 logp*logq = 39.34737234135150482 -------------- ************************************* p = 349; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 131472997309248577.0 -------------- Searches starting with [349,839]-exponents: u = 8, v = 20 n_start has 79 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(349,839) = 0.7721694348879484270 D2(349,839) = 0.04156971807582284056 C1(349,839) = 1.207422660274384801 C2(349,839) = 1.760043406527015935 C3(349,839) = 8.447648055605326707 C4(349,839) = 6712 Sum = 3319.162976965562453 Averaged sum = 0.3316178416390810724 logp*logq = 39.41757788178670502 -------------- ************************************* p = 349; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 144849625865686281.6 -------------- Searches starting with [349,853]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(349,853) = 0.5726645934633999618 D2(349,853) = 0.09383814202744986292 C1(349,853) = 0.8125207446790229660 C2(349,853) = 1.931599396417566718 C3(349,853) = 4.203740148004439502 C4(349,853) = 6824 Sum = 3856.580035370336733 Averaged sum = 0.3853112234359413261 logp*logq = 39.51447253621408818 -------------- ************************************* p = 349; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148872217988881154.2 -------------- Searches starting with [349,857]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(349,857) = 0.7699803370334564931 D2(349,857) = 0.08559739924894621777 C1(349,857) = 1.272545709024297377 C2(349,857) = 1.322374691201361537 C3(349,857) = 9.478068675915114001 C4(349,857) = 6856 Sum = 3994.921699842700315 Averaged sum = 0.3991329503289739549 logp*logq = 39.54186473551906134 -------------- ************************************* p = 349; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150917983419071263.9 -------------- Searches starting with [349,859]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(349,859) = 1.525607107805957440 D2(349,859) = 0.07059952473301040136 C1(349,859) = 2.521242399054046758 C2(349,859) = 1.173398418720546795 C3(349,859) = 86.12610590306931376 C4(349,859) = 6872 Sum = 3903.301175849992322 Averaged sum = 0.3899791363622731863 logp*logq = 39.55551292799777329 -------------- ************************************* p = 349; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155079493275991280.1 -------------- Searches starting with [349,863]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(349,863) = 0.7471470807807669778 D2(349,863) = 0.09726389068269281937 C1(349,863) = 1.026990861700359614 C2(349,863) = 1.437778828575282840 C3(349,863) = 6.141134237047708959 C4(349,863) = 6904 Sum = 4032.544663348269057 Averaged sum = 0.4028918636575351241 logp*logq = 39.58271424020737429 -------------- ************************************* p = 349; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 170401842432847387.4 -------------- Searches starting with [349,877]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(349,877) = 0.5824288290414310817 D2(349,877) = 0.04356708963448378039 C1(349,877) = 0.7956166072531834512 C2(349,877) = 1.907064459086450498 C3(349,877) = 4.080011546331416215 C4(349,877) = 7016 Sum = 4118.903186377362168 Averaged sum = 0.4115199506821223067 logp*logq = 39.67693582164678618 -------------- ************************************* p = 349; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175003104461276447.7 -------------- Searches starting with [349,881]-exponents: u = 22, v = 6 n_start has 74 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(349,881) = 0.7292842880918389284 D2(349,881) = 0.02890064231064289771 C1(349,881) = 1.146253702423844538 C2(349,881) = 1.893278530586662236 C3(349,881) = 7.582050368727650000 C4(349,881) = 7048 Sum = 3633.072417838181185 Averaged sum = 0.3629805592804656993 logp*logq = 39.70358010845557386 -------------- ************************************* p = 349; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 177342080629255231.5 -------------- Searches starting with [349,883]-exponents: u = 22, v = 6 n_start has 74 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(349,883) = 1.121475091338332054 D2(349,883) = 0.02179280614253810116 C1(349,883) = 1.556706930689543160 C2(349,883) = 1.886609434264933316 C3(349,883) = 15.66111752072773497 C4(349,883) = 7064 Sum = 5029.749601483001674 Averaged sum = 0.5025226897275453765 logp*logq = 39.71685692122439300 -------------- ************************************* p = 349; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 182097848781495424.5 -------------- Searches starting with [349,887]-exponents: u = 22, v = 6 n_start has 74 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(349,887) = 0.6641658765992278551 D2(349,887) = 0.007990186046712744727 C1(349,887) = 0.9049327165378297334 C2(349,887) = 1.873681277791229500 C3(349,887) = 4.949542180752412012 C4(349,887) = 7096 Sum = 4153.581204886037816 Averaged sum = 0.4149846343177178356 logp*logq = 39.74332056818344979 -------------- ************************************* p = 349; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 207492968211107185.5 -------------- Searches starting with [349,907]-exponents: u = 50, v = 6 n_start has 145 digits starting right neighbors generation We generated 1113 left neighbors We generated 8897 right neighbors We generated 10009 non-negative rho_i D1(349,907) = 0.5414774886104975686 D2(349,907) = 0.04504283099166196481 C1(349,907) = 0.7781768180598756713 C2(349,907) = 1.726055854109023980 C3(349,907) = 3.956177710584646243 C4(349,907) = 7256 Sum = 4233.600448551563275 Averaged sum = 0.4229793634280710636 logp*logq = 39.87387384586797981 -------------- ************************************* p = 349; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 212908476480057124.4 -------------- Searches starting with [349,911]-exponents: u = 64, v = 6 n_start has 181 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(349,911) = 0.6237532480077798892 D2(349,911) = 0.01090320921788907481 C1(349,911) = 0.8823648760085434837 C2(349,911) = 1.692713013807087302 C3(349,911) = 4.756017945796802560 C4(349,911) = 7288 Sum = 4341.778535544029131 Averaged sum = 0.4337874448540342822 logp*logq = 39.89963878039076129 -------------- ************************************* p = 349; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 224091532864319261.1 -------------- Searches starting with [349,919]-exponents: u = 148, v = 6 n_start has 395 digits --- performed 5000 steps in the continued fraction search [349,919]-exponents: u = 56, v = 45 --- starting right neighbors generation We generated 9107 left neighbors We generated 903 right neighbors We generated 10009 non-negative rho_i D1(349,919) = 0.7396439541856489220 D2(349,919) = 0.01579245639317288435 C1(349,919) = 1.001225574800333176 C2(349,919) = 1.526869064396431412 C3(349,919) = 5.867767567733547643 C4(349,919) = 7352 Sum = 4566.755381995027815 Averaged sum = 0.4562648997896920587 logp*logq = 39.95083099215825820 -------------- ************************************* p = 349; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 238751149735773066.4 -------------- Searches starting with [349,929]-exponents: u = 7, v = 305 n_start has 924 digits --- performed 5000 steps in the continued fraction search [349,929]-exponents: u = 93, v = 217 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(349,929) = 0.7870680758834050675 D2(349,929) = 0.2998610618407998032 C1(349,929) = 1.023835498153334297 C2(349,929) = 1.476581668783075611 C3(349,929) = 6.106983510467459145 C4(349,929) = 7432 Sum = 5168.085352029538098 Averaged sum = 0.5168602212250763174 logp*logq = 40.01419818990714673 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(349,929) = 0.7870680758834050675 D2(349,929) = 0.2998610618407998032 C1(349,929) = 1.023835498153334297 C2(349,929) = 1.476581668783075611 C3(349,929) = 6.106983510467459145 C4(349,929) = 7432 Sum = 5168.085352029538098 Averaged sum = 0.5168602212250763174 logp*logq = 40.01419818990714673 -------------- ************************************* p = 349; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 251043533277986745.3 -------------- Searches starting with [349,937]-exponents: u = 7, v = 77 n_start has 247 digits starting right neighbors generation We generated 3435 left neighbors We generated 6575 right neighbors We generated 10009 non-negative rho_i D1(349,937) = 1.137484761721298297 D2(349,937) = 0.02158650291776087501 C1(349,937) = 1.576919350747453573 C2(349,937) = 1.617624136447958081 C3(349,937) = 16.23066942521343722 C4(349,937) = 7496 Sum = 5099.948925487736029 Averaged sum = 0.5095363098698907012 logp*logq = 40.06440275835813203 -------------- ************************************* p = 349; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 257383742982734651.5 -------------- Searches starting with [349,941]-exponents: u = 7, v = 59 n_start has 194 digits starting right neighbors generation We generated 2078 left neighbors We generated 7932 right neighbors We generated 10009 non-negative rho_i D1(349,941) = 0.5800099222923114643 D2(349,941) = 0.03316073290520388362 C1(349,941) = 0.8221092899159501363 C2(349,941) = 1.678799840242811423 C3(349,941) = 4.275583378337752990 C4(349,941) = 7528 Sum = 3645.237696853785276 Averaged sum = 0.3641959932914162530 logp*logq = 40.08934452950289030 -------------- ************************************* p = 349; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267142627203791133.8 -------------- Searches starting with [349,947]-exponents: u = 7, v = 41 n_start has 140 digits starting right neighbors generation We generated 1057 left neighbors We generated 8953 right neighbors We generated 10009 non-negative rho_i D1(349,947) = 0.6268790441110237549 D2(349,947) = 0.03946187581667568310 C1(349,947) = 0.8659196716372713417 C2(349,947) = 1.749003660738735424 C3(349,947) = 4.619779636605802488 C4(349,947) = 7576 Sum = 4107.478281183445205 Averaged sum = 0.4103784874796128689 logp*logq = 40.12655909496916214 -------------- ************************************* p = 349; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 277206363831228213.4 -------------- Searches starting with [349,953]-exponents: u = 7, v = 29 n_start has 105 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(349,953) = 0.6460602670963956078 D2(349,953) = 0.01348025578293919080 C1(349,953) = 0.9535237118527122343 C2(349,953) = 1.809937792305312091 C3(349,953) = 5.393369625194230970 C4(349,953) = 7624 Sum = 3901.728736859585195 Averaged sum = 0.3898220338554885798 logp*logq = 40.16353861950702637 -------------- ************************************* p = 349; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 301916413768387327.5 -------------- Searches starting with [349,967]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(349,967) = 0.7744593035508921624 D2(349,967) = 0.08706777280064499190 C1(349,967) = 1.189743310620295396 C2(349,967) = 1.885874400817402744 C3(349,967) = 8.187783325201900851 C4(349,967) = 7736 Sum = 3590.757604702677343 Averaged sum = 0.3587528828756796227 logp*logq = 40.24892659837475277 -------------- ************************************* p = 349; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 309302505845117201.6 -------------- Searches starting with [349,971]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(349,971) = 0.8439262078930600644 D2(349,971) = 0.1111174604032244787 C1(349,971) = 1.154923479661105524 C2(349,971) = 1.910588906861572753 C3(349,971) = 7.699118404439063246 C4(349,971) = 7768 Sum = 4198.237417757034385 Averaged sum = 0.4194462401595598346 logp*logq = 40.27309617623431992 -------------- ************************************* p = 349; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 320662157562204227.2 -------------- Searches starting with [349,977]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(349,977) = 0.8418459726698473003 D2(349,977) = 0.1508235024984839937 C1(349,977) = 1.160240601029274570 C2(349,977) = 1.951286972280722535 C3(349,977) = 7.771807960014158523 C4(349,977) = 7816 Sum = 4471.983440597590065 Averaged sum = 0.4467962274550494619 logp*logq = 40.30916449515308827 -------------- ************************************* p = 349; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 332365607804098313.0 -------------- Searches starting with [349,983]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(349,983) = 0.6988854504804631253 D2(349,983) = 0.006841046593496463017 C1(349,983) = 0.9385668058108713114 C2(349,983) = 1.938067932343695410 C3(349,983) = 5.252671939835584676 C4(349,983) = 7864 Sum = 3945.035118537501451 Averaged sum = 0.3941487779535919124 logp*logq = 40.34501198624564584 -------------- ************************************* p = 349; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 348519218260595636.0 -------------- Searches starting with [349,991]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(349,991) = 0.6246885379401126244 D2(349,991) = 0.02495629510537691033 C1(349,991) = 0.8556968447262108034 C2(349,991) = 1.957604204382434577 C3(349,991) = 4.537064057974431934 C4(349,991) = 7928 Sum = 3996.959028200357180 Averaged sum = 0.3993364999700626616 logp*logq = 40.39246976924530498 -------------- ************************************* p = 349; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 361057046032172056.5 -------------- Searches starting with [349,997]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(349,997) = 0.5947666406986067658 D2(349,997) = 0.03898534109489608185 C1(349,997) = 0.8124691485473274365 C2(349,997) = 1.972691364427294804 C3(349,997) = 4.203356842093288141 C4(349,997) = 7976 Sum = 4012.266097083998154 Averaged sum = 0.4008658304609849290 logp*logq = 40.42781236300914973 -------------- ************************************* p = 353; q = 359; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 975843031188485.2015 -------------- Searches starting with [353,359]-exponents: u = 1, v = 348 n_start has 892 digits --- performed 5000 steps in the continued fraction search [353,359]-exponents: u = 219, v = 116 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,359) = 0.8863962709969504354 D2(353,359) = 0.06665891288189620288 C1(353,359) = 1.154242545234931653 C2(353,359) = 1.122666407493371433 C3(353,359) = 7.707137191735900727 C4(353,359) = 2872 Sum = 5363.253133532783722 Averaged sum = 0.5363789512484032125 logp*logq = 34.51432286070699591 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,359) = 0.8863962709969504354 D2(353,359) = 0.06665891288189620288 C1(353,359) = 1.154242545234931653 C2(353,359) = 1.122666407493371433 C3(353,359) = 7.707137191735900727 C4(353,359) = 2872 Sum = 5363.253133532783722 Averaged sum = 0.5363789512484032125 logp*logq = 34.51432286070699591 -------------- ************************************* p = 353; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1110533189989135.272 -------------- Searches starting with [353,367]-exponents: u = 1, v = 150 n_start has 388 digits starting right neighbors generation We generated 2582 left neighbors We generated 7428 right neighbors We generated 10009 non-negative rho_i D1(353,367) = 0.7409784969209878668 D2(353,367) = 0.01175236416911771087 C1(353,367) = 1.001927825732015065 C2(353,367) = 1.208210514884961529 C3(353,367) = 5.886511633677985947 C4(353,367) = 2936 Sum = 4964.861827667097040 Averaged sum = 0.4960397469944147307 logp*logq = 34.64361664624471737 -------------- ************************************* p = 353; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1221371308122318.462 -------------- Searches starting with [353,373]-exponents: u = 1, v = 106 n_start has 276 digits starting right neighbors generation We generated 1420 left neighbors We generated 8590 right neighbors We generated 10009 non-negative rho_i D1(353,373) = 0.5721364982615715089 D2(353,373) = 0.002239286161920526210 C1(353,373) = 0.7887638694271562980 C2(353,373) = 1.267843411444230878 C3(353,373) = 4.037084011696149134 C4(353,373) = 2984 Sum = 4296.994573979089108 Averaged sum = 0.4293130756298420529 logp*logq = 34.73875064546599677 -------------- ************************************* p = 353; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1341234004518951.201 -------------- Searches starting with [353,379]-exponents: u = 1, v = 82 n_start has 214 digits starting right neighbors generation We generated 868 left neighbors We generated 9142 right neighbors We generated 10009 non-negative rho_i D1(353,379) = 0.5516094305862338612 D2(353,379) = 0.004862814588709977598 C1(353,379) = 0.7718705136305140715 C2(353,379) = 1.325235499658295215 C3(353,379) = 3.918206547553768097 C4(353,379) = 3032 Sum = 4616.572432347035659 Averaged sum = 0.4612421253219138434 logp*logq = 34.83236648400100237 -------------- ************************************* p = 353; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1426438631817557.914 -------------- Searches starting with [353,383]-exponents: u = 1, v = 71 n_start has 186 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(353,383) = 0.8343557256781834879 D2(353,383) = 0.01619675770450813012 C1(353,383) = 1.178418218235138830 C2(353,383) = 1.367181643855494323 C3(353,383) = 8.043945395953576685 C4(353,383) = 3064 Sum = 5184.895424796202719 Averaged sum = 0.5180233214902790208 logp*logq = 34.89395726554984715 -------------- ************************************* p = 353; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1562631609895191.388 -------------- Searches starting with [353,389]-exponents: u = 1, v = 60 n_start has 158 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(353,389) = 0.6131013882381496827 D2(353,389) = 0.02541394664786741436 C1(353,389) = 0.8385148891563016001 C2(353,389) = 1.418228065049489050 C3(353,389) = 4.408545343636643929 C4(353,389) = 3112 Sum = 4218.353835754865769 Averaged sum = 0.4214560731096878578 logp*logq = 34.98514772432485195 -------------- ************************************* p = 353; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1760846484386280.661 -------------- Searches starting with [353,397]-exponents: u = 1, v = 49 n_start has 130 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(353,397) = 0.8711560467481997919 D2(353,397) = 0.04286215349399994404 C1(353,397) = 1.263161029443364985 C2(353,397) = 1.483846949619318644 C3(353,397) = 9.345090603331936857 C4(353,397) = 3176 Sum = 5175.559486194591569 Averaged sum = 0.5170905671090610020 logp*logq = 35.10457104537564067 -------------- ************************************* p = 353; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1867511606266159.392 -------------- Searches starting with [353,401]-exponents: u = 1, v = 46 n_start has 123 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(353,401) = 1.127200645357099416 D2(353,401) = 0.02014543754633254752 C1(353,401) = 1.645182392748271121 C2(353,401) = 1.486883603470899212 C3(353,401) = 18.37045168691142452 C4(353,401) = 3208 Sum = 3149.964954694062771 Averaged sum = 0.3147132535412191798 logp*logq = 35.16338324778429907 -------------- ************************************* p = 353; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2096965860258690.046 -------------- Searches starting with [353,409]-exponents: u = 1, v = 39 n_start has 105 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(353,409) = 0.6826059561580880879 D2(353,409) = 0.05092231697704994040 C1(353,409) = 1.007819106586148843 C2(353,409) = 1.555908630810685349 C3(353,409) = 5.948188591304703529 C4(353,409) = 3272 Sum = 4335.176319742662040 Averaged sum = 0.4331278169390210850 logp*logq = 35.27926786642073273 -------------- ************************************* p = 353; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2416210705228970.027 -------------- Searches starting with [353,419]-exponents: u = 1, v = 34 n_start has 92 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(353,419) = 0.6113701981436096535 D2(353,419) = 0.05795757499790753598 C1(353,419) = 0.8299438274401613232 C2(353,419) = 1.609420206075457778 C3(353,419) = 4.342196848816919193 C4(353,419) = 3352 Sum = 3977.816628302505169 Averaged sum = 0.3974239812471281016 logp*logq = 35.42097688360968042 -------------- ************************************* p = 353; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2484660681793614.699 -------------- Searches starting with [353,421]-exponents: u = 1, v = 33 n_start has 90 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(353,421) = 0.6342426863202319253 D2(353,421) = 0.04563205762767463548 C1(353,421) = 0.8763573008782081385 C2(353,421) = 1.607558264251328453 C3(353,421) = 4.713815063139132599 C4(353,421) = 3368 Sum = 4165.229667728345431 Averaged sum = 0.4161484331829698702 logp*logq = 35.44891249857402113 -------------- ************************************* p = 353; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2851522167570583.462 -------------- Searches starting with [353,431]-exponents: u = 1, v = 29 n_start has 79 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(353,431) = 0.5502452011919943371 D2(353,431) = 0.006905065234414222508 C1(353,431) = 0.7660655796638751356 C2(353,431) = 1.616438632007155497 C3(353,431) = 3.878170959488341293 C4(353,431) = 3448 Sum = 4304.989411969892526 Averaged sum = 0.4301118405405028001 logp*logq = 35.58662934049828519 -------------- ************************************* p = 353; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2930029726192604.779 -------------- Searches starting with [353,433]-exponents: u = 1, v = 28 n_start has 77 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(353,433) = 0.5605513194267517449 D2(353,433) = 0.05875913553986217991 C1(353,433) = 0.7680699093552417100 C2(353,433) = 1.668964768509791393 C3(353,433) = 3.891948010267444122 C4(353,433) = 3464 Sum = 4312.196399467536513 Averaged sum = 0.4308318912446334811 logp*logq = 35.61378896334642327 -------------- ************************************* p = 353; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3176389118578404.848 -------------- Searches starting with [353,439]-exponents: u = 1, v = 26 n_start has 72 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(353,439) = 0.7611678737179922423 D2(353,439) = 0.02460370431909248771 C1(353,439) = 1.165314244814768049 C2(353,439) = 1.662699887893727749 C3(353,439) = 7.859597862420432262 C4(353,439) = 3512 Sum = 4058.684391734696682 Averaged sum = 0.4055034860360372346 logp*logq = 35.69452144923488509 -------------- ************************************* p = 353; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3349985487551718.107 -------------- Searches starting with [353,443]-exponents: u = 1, v = 25 n_start has 69 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(353,443) = 0.9101705521869817164 D2(353,443) = 0.02077217953971281896 C1(353,443) = 1.227075416439993598 C2(353,443) = 1.674314681541425590 C3(353,443) = 8.767104268943844232 C4(353,443) = 3544 Sum = 4215.399762101880771 Averaged sum = 0.4211609313719533191 logp*logq = 35.74773240866416287 -------------- ************************************* p = 353; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3625087039771357.242 -------------- Searches starting with [353,449]-exponents: u = 1, v = 24 n_start has 67 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(353,449) = 0.6303853780897803834 D2(353,449) = 0.05179815310335260697 C1(353,449) = 0.8606223713006924720 C2(353,449) = 1.722340901962595517 C3(353,449) = 4.584396649398705666 C4(353,449) = 3592 Sum = 4298.353389544002933 Averaged sum = 0.4294488350028976854 logp*logq = 35.82665469390047350 -------------- ************************************* p = 353; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4020808800708061.117 -------------- Searches starting with [353,457]-exponents: u = 1, v = 22 n_start has 62 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(353,457) = 0.5432127533858856697 D2(353,457) = 0.1198061967067008643 C1(353,457) = 0.7542594473258625641 C2(353,457) = 1.808992763014784960 C3(353,457) = 3.798003781654494737 C4(353,457) = 3656 Sum = 4299.265491197972937 Averaged sum = 0.4295399631529596300 logp*logq = 35.93025947151076036 -------------- ************************************* p = 353; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4231714816104188.068 -------------- Searches starting with [353,461]-exponents: u = 1, v = 21 n_start has 59 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(353,461) = 1.042743574266830123 D2(353,461) = 0.07555718402318813490 C1(353,461) = 1.631128313168355664 C2(353,461) = 1.783192424345910804 C3(353,461) = 17.91929863566174594 C4(353,461) = 3688 Sum = 4678.720473088496237 Averaged sum = 0.4674513411018579515 logp*logq = 35.98138369969703362 -------------- ************************************* p = 353; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4340559730950743.086 -------------- Searches starting with [353,463]-exponents: u = 1, v = 21 n_start has 59 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(353,463) = 0.5697994388615764207 D2(353,463) = 0.1225134137001175228 C1(353,463) = 0.8087181231366136559 C2(353,463) = 1.830798144589254570 C3(353,463) = 4.182155445746608443 C4(353,463) = 3704 Sum = 4235.344124053669416 Averaged sum = 0.4231535741885972041 logp*logq = 36.00677970497219728 -------------- ************************************* p = 353; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4565225281696265.967 -------------- Searches starting with [353,467]-exponents: u = 1, v = 20 n_start has 56 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(353,467) = 0.9340935857794081872 D2(353,467) = 0.06562215700530997879 C1(353,467) = 1.468750640356087622 C2(353,467) = 1.793618531799832547 C3(353,467) = 13.44478263406094393 C4(353,467) = 3736 Sum = 4224.619456274219849 Averaged sum = 0.4220820717628354330 logp*logq = 36.05724425750912833 -------------- ************************************* p = 353; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5297886761263970.820 -------------- Searches starting with [353,479]-exponents: u = 1, v = 19 n_start has 54 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(353,479) = 0.5601125261352769958 D2(353,479) = 0.006772320433632373490 C1(353,479) = 0.8909731209396011482 C2(353,479) = 1.779995871954058623 C3(353,479) = 4.837299702362972672 C4(353,479) = 3832 Sum = 4241.462330834830260 Averaged sum = 0.4237648447232321171 logp*logq = 36.20608441166727875 -------------- ************************************* p = 353; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5838520414269400.730 -------------- Searches starting with [353,487]-exponents: u = 1, v = 18 n_start has 51 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(353,487) = 0.5998069165161217083 D2(353,487) = 0.1534623660108862399 C1(353,487) = 0.8441111472022333123 C2(353,487) = 1.463337092099041055 C3(353,487) = 4.452412018577580389 C4(353,487) = 3896 Sum = 3914.650299516822542 Averaged sum = 0.3911130282262786034 logp*logq = 36.30325380593035216 -------------- ************************************* p = 353; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6125529167346317.317 -------------- Searches starting with [353,491]-exponents: u = 1, v = 17 n_start has 49 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(353,491) = 0.5471586027690631747 D2(353,491) = 0.04900403587236254273 C1(353,491) = 0.8759349416026443071 C2(353,491) = 1.849454348269829658 C3(353,491) = 4.710293931981782810 C4(353,491) = 3928 Sum = 4269.331690751916265 Averaged sum = 0.4265492747279364837 logp*logq = 36.35124154227845798 -------------- ************************************* p = 353; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6734737382297211.583 -------------- Searches starting with [353,499]-exponents: u = 1, v = 16 n_start has 46 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(353,499) = 0.8616999097623496294 D2(353,499) = 0.008348572212932612491 C1(353,499) = 1.389163181053003094 C2(353,499) = 1.836953422434974311 C3(353,499) = 11.67886491333599831 C4(353,499) = 3992 Sum = 3609.997583846412347 Averaged sum = 0.3606751507489671642 logp*logq = 36.44605521103536675 -------------- ************************************* p = 353; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7057685276678437.826 -------------- Searches starting with [353,503]-exponents: u = 1, v = 16 n_start has 46 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(353,503) = 0.6601826814628977581 D2(353,503) = 0.06599319998943852395 C1(353,503) = 0.9029061401419382694 C2(353,503) = 1.895840482707135639 C3(353,503) = 4.940513036983469499 C4(353,503) = 4024 Sum = 4103.466312169303153 Averaged sum = 0.4099776513307326559 logp*logq = 36.49289352816338309 -------------- ************************************* p = 353; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7566123209298690.329 -------------- Searches starting with [353,509]-exponents: u = 1, v = 16 n_start has 46 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(353,509) = 0.9829432184124345104 D2(353,509) = 0.1006982146760789012 C1(353,509) = 1.596783829107220954 C2(353,509) = 1.125655462640607521 C3(353,509) = 16.86287053111621500 C4(353,509) = 4072 Sum = 1721.737739072540488 Averaged sum = 0.1720189568460925655 logp*logq = 36.56245720559092457 -------------- ************************************* p = 353; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8674445436788793.601 -------------- Searches starting with [353,521]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(353,521) = 0.7903646837753766166 D2(353,521) = 0.1024791054274803912 C1(353,521) = 1.294767403205689575 C2(353,521) = 1.252887571706027695 C3(353,521) = 9.882552219558033157 C4(353,521) = 4168 Sum = 3799.763302853338940 Averaged sum = 0.3796346590921509582 logp*logq = 36.69915779210526455 -------------- ************************************* p = 353; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8871627949390176.606 -------------- Searches starting with [353,523]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(353,523) = 1.321823631542375225 D2(353,523) = 0.1153548530488816357 C1(353,523) = 1.760369189213282554 C2(353,523) = 1.278867136301415930 C3(353,523) = 22.52302331870610952 C4(353,523) = 4184 Sum = 4223.947447258687049 Averaged sum = 0.4220149312877097661 logp*logq = 36.72163470870862926 -------------- ************************************* p = 353; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10819680813756388.44 -------------- Searches starting with [353,541]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(353,541) = 0.7011541835620033476 D2(353,541) = 0.1245015529478342798 C1(353,541) = 1.005386576452760479 C2(353,541) = 1.779090441452834451 C3(353,541) = 5.922644019599484963 C4(353,541) = 4328 Sum = 4377.801703262497635 Averaged sum = 0.4373865224560393281 logp*logq = 36.92014316824106824 -------------- ************************************* p = 353; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11542906830318179.84 -------------- Searches starting with [353,547]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(353,547) = 0.7255004924631918468 D2(353,547) = 0.03982967319072164298 C1(353,547) = 1.025639365157835259 C2(353,547) = 1.977780672230647693 C3(353,547) = 6.138714015004668582 C4(353,547) = 4376 Sum = 4415.558513424159108 Averaged sum = 0.4411588084148425525 logp*logq = 36.98484751597992986 -------------- ************************************* p = 353; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12837243865479819.05 -------------- Searches starting with [353,557]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(353,557) = 0.6453891014736004574 D2(353,557) = 0.1100587761696384949 C1(353,557) = 0.8949925637218539519 C2(353,557) = 1.796423050975986727 C3(353,557) = 4.871822331759559287 C4(353,557) = 4456 Sum = 4022.623522432534537 Averaged sum = 0.4019006416657542748 logp*logq = 37.09112701791021718 -------------- ************************************* p = 353; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13670035384312289.81 -------------- Searches starting with [353,563]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(353,563) = 0.6723784761872869227 D2(353,563) = 0.1042237947739096515 C1(353,563) = 0.9336080839077110113 C2(353,563) = 1.792464776586658384 C3(353,563) = 5.216301772761219348 C4(353,563) = 4504 Sum = 4121.434083432765506 Averaged sum = 0.4117728128117459793 logp*logq = 37.15398263410788174 -------------- ************************************* p = 353; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14547156266229772.48 -------------- Searches starting with [353,569]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(353,569) = 0.7693296659708896202 D2(353,569) = 0.03841140807352135926 C1(353,569) = 1.069630395380407168 C2(353,569) = 2.022523607677292407 C3(353,569) = 6.635582978136546890 C4(353,569) = 4552 Sum = 4341.990162076078567 Averaged sum = 0.4338085884779776768 logp*logq = 37.21617192380625572 -------------- ************************************* p = 353; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14849699783713233.22 -------------- Searches starting with [353,571]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(353,571) = 0.9326790751100299154 D2(353,571) = 0.05866684903426493006 C1(353,571) = 1.326540891509165563 C2(353,571) = 2.043347044142918204 C3(353,571) = 10.45401517678542089 C4(353,571) = 4568 Sum = 4044.926927073552271 Averaged sum = 0.4041289766283896764 logp*logq = 37.23675604337006852 -------------- ************************************* p = 353; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15788821230686719.19 -------------- Searches starting with [353,577]-exponents: u = 1, v = 11 n_start has 33 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(353,577) = 0.8053987100760218552 D2(353,577) = 0.07465947885822314703 C1(353,577) = 1.360947257515367129 C2(353,577) = 1.254145735525659398 C3(353,577) = 11.11015650084630200 C4(353,577) = 4616 Sum = 4089.423861279652512 Averaged sum = 0.4085746689259319125 logp*logq = 37.29807856749015838 -------------- ************************************* p = 353; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17463326837249927.21 -------------- Searches starting with [353,587]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(353,587) = 0.6621039199864871181 D2(353,587) = 0.08392564886746699286 C1(353,587) = 1.026056716797250140 C2(353,587) = 1.809699340624980760 C3(353,587) = 6.143248518678851452 C4(353,587) = 4696 Sum = 3932.971495111007896 Averaged sum = 0.3929435003607760911 logp*logq = 37.39887946767847328 -------------- ************************************* p = 353; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18536885986157884.27 -------------- Searches starting with [353,593]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(353,593) = 0.6539915468435956535 D2(353,593) = 0.006756112641668965668 C1(353,593) = 0.8819796194479537966 C2(353,593) = 2.043204913591007883 C3(353,593) = 4.760938796614827286 C4(353,593) = 4744 Sum = 3835.254696906066897 Averaged sum = 0.3831806071441769305 logp*logq = 37.45853897902955608 -------------- ************************************* p = 353; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19664627947265348.70 -------------- Searches starting with [353,599]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(353,599) = 0.6996648355796461265 D2(353,599) = 0.05435776512719708884 C1(353,599) = 1.197967714975551556 C2(353,599) = 1.329958254158104240 C3(353,599) = 8.327036951188931032 C4(353,599) = 4792 Sum = 4230.130317435812828 Averaged sum = 0.4226326623474685610 logp*logq = 37.51759788107647038 -------------- ************************************* p = 353; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20052952460417525.93 -------------- Searches starting with [353,601]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(353,601) = 1.018038397531992351 D2(353,601) = 0.04432100612383175621 C1(353,601) = 1.742935594399668517 C2(353,601) = 1.108664537054269161 C3(353,601) = 21.83891803060438547 C4(353,601) = 4808 Sum = 2906.666552367128882 Averaged sum = 0.2904052904752851316 logp*logq = 37.53715279270599444 -------------- ************************************* p = 353; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21256294213127825.96 -------------- Searches starting with [353,607]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(353,607) = 0.5521964519561634990 D2(353,607) = 0.06848787125845580993 C1(353,607) = 0.7813891486266890169 C2(353,607) = 1.834708895070068095 C3(353,607) = 3.984751322708876557 C4(353,607) = 4856 Sum = 4243.516035435611164 Averaged sum = 0.4239700305160966294 logp*logq = 37.59542944468790416 -------------- ************************************* p = 353; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22518934293878919.25 -------------- Searches starting with [353,613]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(353,613) = 0.6151534416346925516 D2(353,613) = 0.06362004410800466888 C1(353,613) = 0.8552741388808446440 C2(353,613) = 1.831621423844216946 C3(353,613) = 4.541221959015745066 C4(353,613) = 4904 Sum = 4123.323093180318972 Averaged sum = 0.4119615439284962506 logp*logq = 37.65313287441050988 -------------- ************************************* p = 353; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23394770250350550.23 -------------- Searches starting with [353,617]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(353,617) = 1.025601120699787453 D2(353,617) = 0.06043757051218639780 C1(353,617) = 1.604321869281713482 C2(353,617) = 1.829616010559709314 C3(353,617) = 17.08927191684854837 C4(353,617) = 4936 Sum = 3634.202301696299830 Averaged sum = 0.3630934460681686312 logp*logq = 37.69128889872116747 -------------- ************************************* p = 353; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23843171209847548.65 -------------- Searches starting with [353,619]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(353,619) = 0.8500467987618212411 D2(353,619) = 0.05409871864093040934 C1(353,619) = 1.174542570695877567 C2(353,619) = 1.680576925180032949 C3(353,619) = 7.988976736987383224 C4(353,619) = 4952 Sum = 4252.089835098911954 Averaged sum = 0.4248266395343103161 logp*logq = 37.71027424880868227 -------------- ************************************* p = 353; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26685957773331615.95 -------------- Searches starting with [353,631]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(353,631) = 1.494891478700979207 D2(353,631) = 0.02746884376605640902 C1(353,631) = 2.056484846509325255 C2(353,631) = 2.127194239073937730 C3(353,631) = 38.03251638851652162 C4(353,631) = 5048 Sum = 5761.806166630061381 Averaged sum = 0.5756625203946509522 logp*logq = 37.82291389587680369 -------------- ************************************* p = 353; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29264625480345508.64 -------------- Searches starting with [353,641]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(353,641) = 1.074208898908091018 D2(353,641) = 0.04326424212573483954 C1(353,641) = 1.529497052081307929 C2(353,641) = 1.859331925952292146 C3(353,641) = 14.97027965192088612 C4(353,641) = 5128 Sum = 4108.109365145586745 Averaged sum = 0.4104415391293422665 logp*logq = 37.91515586004406342 -------------- ************************************* p = 353; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29804371617829907.13 -------------- Searches starting with [353,643]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(353,643) = 0.5692084828872084037 D2(353,643) = 0.04179099996825856890 C1(353,643) = 0.7893500392864500194 C2(353,643) = 1.858433768937536364 C3(353,643) = 4.041272973218006312 C4(353,643) = 5144 Sum = 4215.953717305924790 Averaged sum = 0.4212162770812193816 logp*logq = 37.93343147624775506 -------------- ************************************* p = 353; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30908659741951307.50 -------------- Searches starting with [353,647]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(353,647) = 0.6739833102576089225 D2(353,647) = 0.03887515109714980432 C1(353,647) = 1.018066040102158595 C2(353,647) = 1.856662637760169102 C3(353,647) = 6.057009219759966890 C4(353,647) = 5176 Sum = 3578.694174864817448 Averaged sum = 0.3575476246243198569 logp*logq = 37.96981279010012150 -------------- ************************************* p = 353; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32628586562110082.94 -------------- Searches starting with [353,653]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(353,653) = 0.6963504762692668855 D2(353,653) = 0.03457590511331114670 C1(353,653) = 0.9467620164467815157 C2(353,653) = 1.854067006273682035 C3(353,653) = 5.339122478464177461 C4(353,653) = 5224 Sum = 4038.488305392238015 Averaged sum = 0.4034856934151501663 logp*logq = 38.02396518744960020 -------------- ************************************* p = 353; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34427163404470762.81 -------------- Searches starting with [353,659]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(353,659) = 0.8507955303390830314 D2(353,659) = 0.02784478908389366159 C1(353,659) = 1.231757183554455332 C2(353,659) = 1.697984092910034058 C3(353,659) = 8.840025800580832450 C4(353,659) = 5272 Sum = 4472.206297631681096 Averaged sum = 0.4468184931193606850 logp*logq = 38.07762228154414375 -------------- ************************************* p = 353; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35044653974908883.71 -------------- Searches starting with [353,661]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(353,661) = 0.6866980793833795490 D2(353,661) = 0.02657447733737668669 C1(353,661) = 0.9216746256073806215 C2(353,661) = 1.697257692428176995 C3(353,661) = 5.107322907799806434 C4(353,661) = 5288 Sum = 3842.510713259969722 Averaged sum = 0.3839055563253041984 logp*logq = 38.09539947107785684 -------------- ************************************* p = 353; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38945747048705345.33 -------------- Searches starting with [353,673]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(353,673) = 0.8760923223112907908 D2(353,673) = 0.01519422262770797890 C1(353,673) = 1.205218672772097362 C2(353,673) = 1.345202522861768085 C3(353,673) = 8.434550813180798665 C4(353,673) = 5384 Sum = 4686.762501469500165 Averaged sum = 0.4682548208082226161 logp*logq = 38.20094597124537636 -------------- ************************************* p = 353; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40323480147522869.42 -------------- Searches starting with [353,677]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(353,677) = 1.271005860506729266 D2(353,677) = 0.009869439832302950421 C1(353,677) = 2.247657935946051039 C2(353,677) = 0.9996523716022193368 C3(353,677) = 53.33938581569150996 C4(353,677) = 5416 Sum = 782.3586771328986582 Averaged sum = 0.07816551874641808953 logp*logq = 38.23571032813164087 -------------- ************************************* p = 353; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42465722559534488.30 -------------- Searches starting with [353,683]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(353,683) = 0.8847579632067931661 D2(353,683) = 0.01467908610555062199 C1(353,683) = 1.233496497228478725 C2(353,683) = 1.889655365525987547 C3(353,683) = 8.867270983043166547 C4(353,683) = 5464 Sum = 4830.787648686035815 Averaged sum = 0.4826443849221736252 logp*logq = 38.28747361741140233 -------------- ************************************* p = 353; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45468147824045946.52 -------------- Searches starting with [353,691]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(353,691) = 0.7140510219949347070 D2(353,691) = 0.009458685949691048497 C1(353,691) = 0.9675499857058606643 C2(353,691) = 1.886633682754367554 C3(353,691) = 5.539146799319545829 C4(353,691) = 5528 Sum = 3970.402447222564242 Averaged sum = 0.3966832298154225440 logp*logq = 38.35578842789652978 -------------- ************************************* p = 353; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49466803942598153.15 -------------- Searches starting with [353,701]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(353,701) = 0.5790648682861652849 D2(353,701) = 0.003106792458308171708 C1(353,701) = 0.8090676156342088695 C2(353,701) = 1.882993956297476166 C3(353,701) = 4.184742241788297336 C4(353,701) = 5608 Sum = 3875.827903651305376 Averaged sum = 0.3872342795135683261 logp*logq = 38.44007821209191376 -------------- ************************************* p = 353; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52871919827443627.33 -------------- Searches starting with [353,709]-exponents: u = 19, v = 8 n_start has 72 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(353,709) = 0.8239360288326056847 D2(353,709) = 0.1353443639429469845 C1(353,709) = 1.111167999833465786 C2(353,709) = 1.856817610415783934 C3(353,709) = 7.141601488249908547 C4(353,709) = 5672 Sum = 4060.277249613819765 Averaged sum = 0.4056626285956458952 logp*logq = 38.50664877672581158 -------------- ************************************* p = 353; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57399589004280899.64 -------------- Searches starting with [353,719]-exponents: u = 37, v = 8 n_start has 118 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(353,719) = 0.8530397185637318664 D2(353,719) = 0.06840685288268921087 C1(353,719) = 1.271006261145788101 C2(353,719) = 1.792447546908282509 C3(353,719) = 9.475706701284489349 C4(353,719) = 5752 Sum = 3314.114964541219550 Averaged sum = 0.3311134943092436357 logp*logq = 38.58881353800640610 -------------- ************************************* p = 353; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61249171023419694.26 -------------- Searches starting with [353,727]-exponents: u = 73, v = 8 n_start has 209 digits starting right neighbors generation We generated 2926 left neighbors We generated 7084 right neighbors We generated 10009 non-negative rho_i D1(353,727) = 0.5874213993627993927 D2(353,727) = 0.02359337438243711282 C1(353,727) = 0.8296558140445948313 C2(353,727) = 1.749662080056286552 C3(353,727) = 4.339984765756769147 C4(353,727) = 5816 Sum = 3818.198013097630493 Averaged sum = 0.3814764724845269750 logp*logq = 38.65372670993241681 -------------- ************************************* p = 353; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64274831534815637.30 -------------- Searches starting with [353,733]-exponents: u = 307, v = 8 n_start has 806 digits --- performed 5000 steps in the continued fraction search [353,733]-exponents: u = 268, v = 26 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,733) = 0.5585073057666537177 D2(353,733) = 0.3042233279051886944 C1(353,733) = 0.7310525933541652041 C2(353,733) = 1.472269959915679986 C3(353,733) = 3.645220354969932239 C4(353,733) = 5864 Sum = 5123.320522994471025 Averaged sum = 0.5123832906285099535 logp*logq = 38.70194452705283467 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,733) = 0.5585073057666537177 D2(353,733) = 0.3042233279051886944 C1(353,733) = 0.7310525933541652041 C2(353,733) = 1.472269959915679986 C3(353,733) = 3.645220354969932239 C4(353,733) = 5864 Sum = 5123.320522994471025 Averaged sum = 0.5123832906285099535 logp*logq = 38.70194452705283467 -------------- ************************************* p = 353; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67423448961951949.03 -------------- Searches starting with [353,739]-exponents: u = 9, v = 127 n_start has 388 digits --- performed 5000 steps in the continued fraction search [353,739]-exponents: u = 40, v = 58 --- --- performed 1000 steps in the first trivial search [353,739]-exponents: u = 5, v = 27 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,739) = 0.6025276169807073087 D2(353,739) = 0.01658542895341385746 C1(353,739) = 0.9187022545496170612 C2(353,739) = 1.668057186439198519 C3(353,739) = 5.080534631342339867 C4(353,739) = 5912 Sum = 4574.913380925228916 Averaged sum = 0.4575370918017030619 logp*logq = 38.74976925977054214 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,739) = 0.6025276169807073087 D2(353,739) = 0.01658542895341385746 C1(353,739) = 0.9187022545496170612 C2(353,739) = 1.668057186439198519 C3(353,739) = 5.080534631342339867 C4(353,739) = 5912 Sum = 4574.913380925228916 Averaged sum = 0.4575370918017030619 logp*logq = 38.74976925977054214 -------------- ************************************* p = 353; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69592777160201283.12 -------------- Searches starting with [353,743]-exponents: u = 9, v = 63 n_start has 204 digits starting right neighbors generation We generated 1480 left neighbors We generated 8530 right neighbors We generated 10009 non-negative rho_i D1(353,743) = 0.8370015927213150072 D2(353,743) = 0.01207163203216345884 C1(353,743) = 1.132155253733234070 C2(353,743) = 1.431313007761549655 C3(353,743) = 7.411766508740152099 C4(353,743) = 5944 Sum = 4247.091555853768183 Averaged sum = 0.4243272610504314300 logp*logq = 38.78143718043202293 -------------- ************************************* p = 353; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74105396222140623.07 -------------- Searches starting with [353,751]-exponents: u = 9, v = 31 n_start has 113 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(353,751) = 0.6404629213253774989 D2(353,751) = 0.04296954839001155022 C1(353,751) = 0.8797152051540653625 C2(353,751) = 1.624312743665148431 C3(353,751) = 4.741903103419523282 C4(353,751) = 6008 Sum = 4176.991487350736698 Averaged sum = 0.4173235575332937054 logp*logq = 38.84426474807189302 -------------- ************************************* p = 353; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77646880054062263.33 -------------- Searches starting with [353,757]-exponents: u = 9, v = 23 n_start has 90 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(353,757) = 0.5797575829514627295 D2(353,757) = 0.06985508760521555966 C1(353,757) = 0.8946183411328604948 C2(353,757) = 1.725424034996356495 C3(353,757) = 4.868597793321331604 C4(353,757) = 6056 Sum = 3962.148163534477065 Averaged sum = 0.3958585436641499715 logp*logq = 38.89094776409818874 -------------- ************************************* p = 353; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80084975800617801.92 -------------- Searches starting with [353,761]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(353,761) = 0.8293935430269091495 D2(353,761) = 0.09314059007834574693 C1(353,761) = 1.151626640746639268 C2(353,761) = 1.857004946619338020 C3(353,761) = 7.671549465434080752 C4(353,761) = 6088 Sum = 4267.509316273767416 Averaged sum = 0.4263672011463450310 logp*logq = 38.92186466335967829 -------------- ************************************* p = 353; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85151967498748773.64 -------------- Searches starting with [353,769]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(353,769) = 0.6592727834900775927 D2(353,769) = 0.1253649646483314204 C1(353,769) = 0.8996719919882168475 C2(353,769) = 1.446381518819397108 C3(353,769) = 4.912324021234286424 C4(353,769) = 6152 Sum = 4209.497332688901125 Averaged sum = 0.4205712191716356404 logp*logq = 38.98321390802077241 -------------- ************************************* p = 353; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87783469929476089.45 -------------- Searches starting with [353,773]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(353,773) = 0.8056715594846573930 D2(353,773) = 0.1044071755186010179 C1(353,773) = 1.308788146999198004 C2(353,773) = 1.284676025234190868 C3(353,773) = 10.13076708880518036 C4(353,773) = 6184 Sum = 3697.236198988571597 Averaged sum = 0.3693911678477941449 logp*logq = 39.01364960823086680 -------------- ************************************* p = 353; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97531131138662594.52 -------------- Searches starting with [353,787]-exponents: u = 25, v = 7 n_start has 84 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(353,787) = 0.6447902105679594841 D2(353,787) = 0.06451336717117914849 C1(353,787) = 0.9991986814157468698 C2(353,787) = 1.850885705613093903 C3(353,787) = 5.858156852098115996 C4(353,787) = 6296 Sum = 3875.501327029301382 Averaged sum = 0.3872016512168349867 logp*logq = 39.11894801568096446 -------------- ************************************* p = 353; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105029805441640671.9 -------------- Searches starting with [353,797]-exponents: u = 33, v = 7 n_start has 105 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(353,797) = 0.7718346556297637871 D2(353,797) = 0.01860547461618428882 C1(353,797) = 1.139564867703746321 C2(353,797) = 1.807349617616108443 C3(353,797) = 7.509570592890561160 C4(353,797) = 6376 Sum = 4261.605597393756615 Averaged sum = 0.4257773601152719168 logp*logq = 39.19302056613615733 -------------- ************************************* p = 353; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114653446242493205.9 -------------- Searches starting with [353,809]-exponents: u = 105, v = 7 n_start has 288 digits starting right neighbors generation We generated 5251 left neighbors We generated 4759 right neighbors We generated 10009 non-negative rho_i D1(353,809) = 0.5550614863868109910 D2(353,809) = 0.01784719536838895632 C1(353,809) = 0.7627982961341547330 C2(353,809) = 1.634236645149846991 C3(353,809) = 3.855817280632749912 C4(353,809) = 6472 Sum = 4383.766876382621024 Averaged sum = 0.4379825033852154085 logp*logq = 39.28069046257220247 -------------- ************************************* p = 353; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116326300939942845.5 -------------- Searches starting with [353,811]-exponents: u = 145, v = 7 n_start has 390 digits --- performed 5000 steps in the continued fraction search [353,811]-exponents: u = 7, v = 87 --- starting right neighbors generation We generated 9694 left neighbors We generated 316 right neighbors We generated 10009 non-negative rho_i D1(353,811) = 0.9382980966414891093 D2(353,811) = 0.01336248533478997796 C1(353,811) = 1.268306566023403516 C2(353,811) = 1.576283898955781282 C3(353,811) = 9.430554447357980271 C4(353,811) = 6488 Sum = 4601.922230614250343 Averaged sum = 0.4597784224811919615 logp*logq = 39.29517557624482116 -------------- ************************************* p = 353; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124997416864488843.3 -------------- Searches starting with [353,821]-exponents: u = 8, v = 139 n_start has 426 digits --- performed 5000 steps in the continued fraction search [353,821]-exponents: u = 31, v = 83 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,821) = 0.7550117031529314294 D2(353,821) = 0.06722355055457731872 C1(353,821) = 1.018541669075367856 C2(353,821) = 1.505807174286587283 C3(353,821) = 6.062108385898845978 C4(353,821) = 6568 Sum = 4632.438314777120411 Averaged sum = 0.4632901604937614172 logp*logq = 39.36706946691537134 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,821) = 0.7550117031529314294 D2(353,821) = 0.06722355055457731872 C1(353,821) = 1.018541669075367856 C2(353,821) = 1.505807174286587283 C3(353,821) = 6.062108385898845978 C4(353,821) = 6568 Sum = 4632.438314777120411 Averaged sum = 0.4632901604937614172 logp*logq = 39.36706946691537134 -------------- ************************************* p = 353; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126794380595848023.0 -------------- Searches starting with [353,823]-exponents: u = 8, v = 97 n_start has 304 digits --- performed 5000 steps in the continued fraction search [353,823]-exponents: u = 24, v = 13 --- starting right neighbors generation We generated 5909 left neighbors We generated 4101 right neighbors We generated 10009 non-negative rho_i D1(353,823) = 0.5931698386699015732 D2(353,823) = 0.008854229305501128821 C1(353,823) = 0.8160104585757137219 C2(353,823) = 1.645125654444585231 C3(353,823) = 4.236463136028489722 C4(353,823) = 6584 Sum = 4285.007331114331908 Averaged sum = 0.4281154292251305733 logp*logq = 39.38134311886433595 -------------- ************************************* p = 353; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130452641584402908.0 -------------- Searches starting with [353,827]-exponents: u = 8, v = 62 n_start has 202 digits starting right neighbors generation We generated 2590 left neighbors We generated 7420 right neighbors We generated 10009 non-negative rho_i D1(353,827) = 0.6912502068435978520 D2(353,827) = 0.01091183080468408119 C1(353,827) = 0.9781605398467023148 C2(353,827) = 1.726395588200528592 C3(353,827) = 5.644114008552148232 C4(353,827) = 6616 Sum = 3791.069018247345733 Averaged sum = 0.3787660124135623671 logp*logq = 39.40978665607301267 -------------- ************************************* p = 353; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132314343371374076.9 -------------- Searches starting with [353,829]-exponents: u = 8, v = 48 n_start has 161 digits starting right neighbors generation We generated 1582 left neighbors We generated 8428 right neighbors We generated 10009 non-negative rho_i D1(353,829) = 0.6244215264896381891 D2(353,829) = 0.02372577949314432992 C1(353,829) = 0.8910697485238023046 C2(353,829) = 1.739589546531294763 C3(353,829) = 4.838126751137825272 C4(353,829) = 6632 Sum = 4279.209473501796223 Averaged sum = 0.4275361648018579501 logp*logq = 39.42395687566053208 -------------- ************************************* p = 353; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141956783129896776.9 -------------- Searches starting with [353,839]-exponents: u = 8, v = 27 n_start has 100 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(353,839) = 0.7327325198208669881 D2(353,839) = 0.007950635557117633431 C1(353,839) = 1.037873271627925554 C2(353,839) = 1.647645226424672991 C3(353,839) = 6.273034125662539920 C4(353,839) = 6712 Sum = 4170.176562530158412 Averaged sum = 0.4166426778429571797 logp*logq = 39.49429906203420814 -------------- ************************************* p = 353; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156429575887430930.5 -------------- Searches starting with [353,853]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(353,853) = 0.6211535007792099021 D2(353,853) = 0.05356937502863808792 C1(353,853) = 0.9716492980136516685 C2(353,853) = 1.891080534270340262 C3(353,853) = 5.579466715715984128 C4(353,853) = 6824 Sum = 4050.928025273141586 Averaged sum = 0.4047285468351625123 logp*logq = 39.59138230928354594 -------------- ************************************* p = 353; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160782324594216891.3 -------------- Searches starting with [353,857]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(353,857) = 0.6553207067121923690 D2(353,857) = 0.06721476313885841978 C1(353,857) = 0.9076379489408048846 C2(353,857) = 1.905523723841863604 C3(353,857) = 4.982047470613576498 C4(353,857) = 6856 Sum = 4120.501297931272518 Averaged sum = 0.4116796181368041280 logp*logq = 39.61882782393596523 -------------- ************************************* p = 353; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162996085622520265.3 -------------- Searches starting with [353,859]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(353,859) = 0.7805364854300177937 D2(353,859) = 0.07421056343866324502 C1(353,859) = 1.160174594222057238 C2(353,859) = 1.912917002767585757 C3(353,859) = 7.788451826835820125 C4(353,859) = 6872 Sum = 3525.598862722197546 Averaged sum = 0.3522428676912975868 logp*logq = 39.63250258084332757 -------------- ************************************* p = 353; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167499512690899432.6 -------------- Searches starting with [353,863]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(353,863) = 1.066888695555475671 D2(353,863) = 0.08858057480631968213 C1(353,863) = 1.460482984145294854 C2(353,863) = 1.928079149430332733 C3(353,863) = 13.24954946196270693 C4(353,863) = 6904 Sum = 4384.294852945753740 Averaged sum = 0.4380352535663656449 logp*logq = 39.65975683686351125 -------------- ************************************* p = 353; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184082755274604774.8 -------------- Searches starting with [353,877]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(353,877) = 0.6913471180799561947 D2(353,877) = 0.08900666357246906606 C1(353,877) = 0.9822553282846908529 C2(353,877) = 1.951964554495951318 C3(353,877) = 5.685152486712737649 C4(353,877) = 7016 Sum = 3746.371317814545435 Averaged sum = 0.3743002615460630867 logp*logq = 39.75416180833653954 -------------- ************************************* p = 353; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189063239546392021.7 -------------- Searches starting with [353,881]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(353,881) = 0.5825020875059162654 D2(353,881) = 0.07246708459424618937 C1(353,881) = 0.8121026477824277425 C2(353,881) = 1.936305367601807120 C3(353,881) = 4.207273655180485650 C4(353,881) = 7048 Sum = 4020.718969365302682 Averaged sum = 0.4017103576146770588 logp*logq = 39.78085795477853334 -------------- ************************************* p = 353; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 191595085271336368.5 -------------- Searches starting with [353,883]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(353,883) = 0.9192573969354661681 D2(353,883) = 0.06450299481714609834 C1(353,883) = 1.369668822779750732 C2(353,883) = 1.928779954547047385 C3(353,883) = 11.28292299702053139 C4(353,883) = 7064 Sum = 4219.875185881191344 Averaged sum = 0.4216080713239275995 logp*logq = 39.79416060913377881 -------------- ************************************* p = 353; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 196743208686134826.4 -------------- Searches starting with [353,887]-exponents: u = 15, v = 6 n_start has 56 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(353,887) = 0.5557785109832464795 D2(353,887) = 0.04912722338175448385 C1(353,887) = 0.7547635001397821265 C2(353,887) = 1.914278520973638972 C3(353,887) = 3.801392340121821240 C4(353,887) = 7096 Sum = 4148.141669132680316 Averaged sum = 0.4144411698603936773 logp*logq = 39.82067576413410696 -------------- ************************************* p = 353; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 224237722854068080.6 -------------- Searches starting with [353,907]-exponents: u = 29, v = 6 n_start has 92 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(353,907) = 0.5422890431769056466 D2(353,907) = 0.06850759789130067191 C1(353,907) = 0.7501833370651097472 C2(353,907) = 1.826101374091418523 C3(353,907) = 3.770712360920934511 C4(353,907) = 7256 Sum = 4179.971460384071326 Averaged sum = 0.4176212868802149391 logp*logq = 39.95148314676590634 -------------- ************************************* p = 353; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 230101803398610302.6 -------------- Searches starting with [353,911]-exponents: u = 36, v = 6 n_start has 110 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(353,911) = 0.8442640043311212685 D2(353,911) = 0.04223169417658302185 C1(353,911) = 1.159066889210579673 C2(353,911) = 1.800646857405894407 C3(353,911) = 7.773202887305674593 C4(353,911) = 7288 Sum = 4250.402340464032905 Averaged sum = 0.4246580418087753926 logp*logq = 39.97729822937722628 -------------- ************************************* p = 353; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242212074960672876.5 -------------- Searches starting with [353,919]-exponents: u = 50, v = 6 n_start has 146 digits starting right neighbors generation We generated 1113 left neighbors We generated 8897 right neighbors We generated 10009 non-negative rho_i D1(353,919) = 0.5407246819141026845 D2(353,919) = 0.04544911262182025534 C1(353,919) = 0.7454569049758098576 C2(353,919) = 1.728329692907602417 C3(353,919) = 3.739312181218242047 C4(353,919) = 7352 Sum = 4219.776840637594706 Averaged sum = 0.4215982456426810577 logp*logq = 40.02859008011589643 -------------- ************************************* p = 353; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 258088930902594579.5 -------------- Searches starting with [353,929]-exponents: u = 106, v = 6 n_start has 288 digits starting right neighbors generation We generated 4829 left neighbors We generated 5181 right neighbors We generated 10009 non-negative rho_i D1(353,929) = 0.9320591972675580268 D2(353,929) = 0.01030662396937281274 C1(353,929) = 1.280888107063104394 C2(353,929) = 1.591621814867713794 C3(353,929) = 9.642831766780715470 C4(353,929) = 7432 Sum = 4642.641058324012443 Averaged sum = 0.4638466438529336040 logp*logq = 40.09208061386008259 -------------- ************************************* p = 353; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 271403462177364026.6 -------------- Searches starting with [353,937]-exponents: u = 743, v = 6 n_start has 1911 digits --- performed 5000 steps in the continued fraction search [353,937]-exponents: u = 629, v = 97 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,937) = 0.6751464201492191439 D2(353,937) = 0.4551936935087499459 C1(353,937) = 0.8558391427325581853 C2(353,937) = 1.520264292762850527 C3(353,937) = 4.545763791426855185 C4(353,937) = 7496 Sum = 5591.602146970436444 Averaged sum = 0.5592161363106747118 logp*logq = 40.14238289896319013 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,937) = 0.6751464201492191439 D2(353,937) = 0.4551936935087499459 C1(353,937) = 0.8558391427325581853 C2(353,937) = 1.520264292762850527 C3(353,937) = 4.545763791426855185 C4(353,937) = 7496 Sum = 5591.602146970436444 Averaged sum = 0.5592161363106747118 logp*logq = 40.14238289896319013 -------------- ************************************* p = 353; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278271379033076280.9 -------------- Searches starting with [353,941]-exponents: u = 7, v = 353 n_start has 1068 digits --- performed 5000 steps in the continued fraction search [353,941]-exponents: u = 44, v = 309 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,941) = 0.5478755409793333842 D2(353,941) = 0.3216371640276132832 C1(353,941) = 0.7088666520838124707 C2(353,941) = 1.473396386290434279 C3(353,941) = 3.504908027849248965 C4(353,941) = 7528 Sum = 5258.985896558366594 Averaged sum = 0.5259511847743140907 logp*logq = 40.16737321601620861 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(353,941) = 0.5478755409793333842 D2(353,941) = 0.3216371640276132832 C1(353,941) = 0.7088666520838124707 C2(353,941) = 1.473396386290434279 C3(353,941) = 3.504908027849248965 C4(353,941) = 7528 Sum = 5258.985896558366594 Averaged sum = 0.5259511847743140907 logp*logq = 40.16737321601620861 -------------- ************************************* p = 353; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 288843153656790463.7 -------------- Searches starting with [353,947]-exponents: u = 7, v = 107 n_start has 337 digits --- performed 5000 steps in the continued fraction search [353,947]-exponents: u = 20, v = 43 --- starting right neighbors generation We generated 6640 left neighbors We generated 3370 right neighbors We generated 10009 non-negative rho_i D1(353,947) = 0.7880945619656709061 D2(353,947) = 0.01185931770023098541 C1(353,947) = 1.076878746562511626 C2(353,947) = 1.569602628946380462 C3(353,947) = 6.721226772634430779 C4(353,947) = 7576 Sum = 4406.333156063454624 Averaged sum = 0.4402371022143525451 logp*logq = 40.20466021478605717 -------------- ************************************* p = 353; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 299745961295417549.0 -------------- Searches starting with [353,953]-exponents: u = 7, v = 59 n_start has 194 digits starting right neighbors generation We generated 2078 left neighbors We generated 7932 right neighbors We generated 10009 non-negative rho_i D1(353,953) = 0.6136819966175726712 D2(353,953) = 0.02663444576837770406 C1(353,953) = 0.8643920912532743562 C2(353,953) = 1.674043623552174502 C3(353,953) = 4.615074875481516061 C4(353,953) = 7624 Sum = 4346.327639241381823 Averaged sum = 0.4342419461725828577 logp*logq = 40.24171171515095078 -------------- ************************************* p = 353; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 326519442664088173.2 -------------- Searches starting with [353,967]-exponents: u = 7, v = 29 n_start has 105 digits starting right neighbors generation We generated 603 left neighbors We generated 9407 right neighbors We generated 10009 non-negative rho_i D1(353,967) = 0.5413340999254493037 D2(353,967) = 0.01860909995176969933 C1(353,967) = 0.7631703107373213556 C2(353,967) = 1.817245506376323411 C3(353,967) = 3.858355968143785484 C4(353,967) = 7736 Sum = 4171.277115996434430 Averaged sum = 0.4167526342288374892 logp*logq = 40.32726589059567964 -------------- ************************************* p = 353; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334523160548471204.2 -------------- Searches starting with [353,971]-exponents: u = 7, v = 23 n_start has 87 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(353,971) = 0.8412570384492829547 D2(353,971) = 0.03823503961806525880 C1(353,971) = 1.263334227042513028 C2(353,971) = 1.837536294570011610 C3(353,971) = 9.347954661325247849 C4(353,971) = 7768 Sum = 4200.931404094314459 Averaged sum = 0.4197153965525341652 logp*logq = 40.35148251138987435 -------------- ************************************* p = 353; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 346833430625776910.8 -------------- Searches starting with [353,977]-exponents: u = 7, v = 23 n_start has 87 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(353,977) = 0.6176924822228229562 D2(353,977) = 0.06963816914263195651 C1(353,977) = 0.8382123348581986782 C2(353,977) = 1.869931492275863092 C3(353,977) = 4.406186102740829983 C4(353,977) = 7816 Sum = 4034.500731639805721 Averaged sum = 0.4030872945988416146 logp*logq = 40.38762103259264123 -------------- ************************************* p = 353; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 359517157217894060.7 -------------- Searches starting with [353,983]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(353,983) = 0.7531673697697395229 D2(353,983) = 0.1039847292494922587 C1(353,983) = 1.062770207190048317 C2(353,983) = 1.905263943646107246 C3(353,983) = 6.555531002079718331 C4(353,983) = 7864 Sum = 4153.918422709461988 Averaged sum = 0.4150183257777462271 logp*logq = 40.42353829615660182 -------------- ************************************* p = 353; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 377025209773338934.6 -------------- Searches starting with [353,991]-exponents: u = 7, v = 17 n_start has 69 digits starting right neighbors generation We generated 183 left neighbors We generated 9827 right neighbors We generated 10009 non-negative rho_i D1(353,991) = 0.6183219664509366690 D2(353,991) = 0.1408221657162308134 C1(353,991) = 0.9835506322873696475 C2(353,991) = 1.471962189913491013 C3(353,991) = 5.698196205963248367 C4(353,991) = 7928 Sum = 3935.866947144825541 Averaged sum = 0.3932327852077955381 logp*logq = 40.47108844954833788 -------------- ************************************* p = 353; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 390615397643555619.1 -------------- Searches starting with [353,997]-exponents: u = 7, v = 11 n_start has 51 digits starting right neighbors generation We generated 128 left neighbors We generated 9882 right neighbors We generated 10009 non-negative rho_i D1(353,997) = 0.8526036255385307612 D2(353,997) = 0.007858979455952811612 C1(353,997) = 1.161062720598881681 C2(353,997) = 1.941291959748050460 C3(353,997) = 7.800699597354391230 C4(353,997) = 7976 Sum = 4117.887388531176550 Averaged sum = 0.4114184622371042611 logp*logq = 40.50649983306671048 -------------- ************************************* p = 359; q = 367; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1226753412682673.523 -------------- Searches starting with [359,367]-exponents: u = 1, v = 266 n_start has 685 digits --- performed 5000 steps in the continued fraction search [359,367]-exponents: u = 117, v = 131 --- starting right neighbors generation We generated 8079 left neighbors We generated 1931 right neighbors We generated 10009 non-negative rho_i D1(359,367) = 0.9118148382042061875 D2(359,367) = 0.003094045223421302446 C1(359,367) = 1.200824060900909918 C2(359,367) = 1.106014280508783366 C3(359,367) = 8.398106782622716057 C4(359,367) = 2936 Sum = 5207.104617990098617 Averaged sum = 0.5202422437796082143 logp*logq = 34.74314757278397095 -------------- ************************************* p = 359; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1349559842330646.373 -------------- Searches starting with [359,373]-exponents: u = 1, v = 153 n_start has 397 digits starting right neighbors generation We generated 2773 left neighbors We generated 7237 right neighbors We generated 10009 non-negative rho_i D1(359,373) = 0.7058926409059884098 D2(359,373) = 0.003803769860544702941 C1(359,373) = 0.9539240067953768176 C2(359,373) = 1.199546043160988753 C3(359,373) = 5.422025043924468686 C4(359,373) = 2984 Sum = 4940.967297919613989 Averaged sum = 0.4936524425936271345 logp*logq = 34.83855489147950060 -------------- ************************************* p = 359; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1482401329596988.693 -------------- Searches starting with [359,379]-exponents: u = 1, v = 108 n_start has 282 digits starting right neighbors generation We generated 1448 left neighbors We generated 8562 right neighbors We generated 10009 non-negative rho_i D1(359,379) = 0.5619485004151233836 D2(359,379) = 0.004556091738548560237 C1(359,379) = 0.7738079312616278310 C2(359,379) = 1.267939239967026968 C3(359,379) = 3.940398167148770733 C4(359,379) = 3032 Sum = 4729.293359799239817 Averaged sum = 0.4725040823058487178 logp*logq = 34.93243968782117181 -------------- ************************************* p = 359; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1576852898728912.189 -------------- Searches starting with [359,383]-exponents: u = 1, v = 90 n_start has 236 digits **************************************************** Computing .... elapsed time = 38 minutes **************************************************** starting right neighbors generation We generated 956 left neighbors We generated 9054 right neighbors We generated 10009 non-negative rho_i D1(359,383) = 0.8255344874548164436 D2(359,383) = 0.01714168228597395059 C1(359,383) = 1.149067421432306713 C2(359,383) = 1.316609662977396632 C3(359,383) = 7.662108729311078560 C4(359,383) = 3064 Sum = 5100.035872617044003 Averaged sum = 0.5095449967646162457 logp*logq = 34.99420741935813215 -------------- ************************************* p = 359; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1727859696492409.695 -------------- Searches starting with [359,389]-exponents: u = 1, v = 73 n_start has 192 digits starting right neighbors generation We generated 704 left neighbors We generated 9306 right neighbors We generated 10009 non-negative rho_i D1(359,389) = 0.6079755754635160226 D2(359,389) = 0.009022839154698316241 C1(359,389) = 0.8583018999269569497 C2(359,389) = 1.358509825279063079 C3(359,389) = 4.576870033500305652 C4(359,389) = 3112 Sum = 3784.609548397978879 Averaged sum = 0.3781206462581655389 logp*logq = 35.08565986783663981 -------------- ************************************* p = 359; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1947701377588882.676 -------------- Searches starting with [359,397]-exponents: u = 1, v = 58 n_start has 154 digits starting right neighbors generation We generated 451 left neighbors We generated 9559 right neighbors We generated 10009 non-negative rho_i D1(359,397) = 0.8029375921773418511 D2(359,397) = 0.01486212992826322256 C1(359,397) = 1.100670655618391649 C2(359,397) = 1.419552909578978135 C3(359,397) = 7.032359490535749109 C4(359,397) = 3176 Sum = 4432.216065665503162 Averaged sum = 0.4428230658073237249 logp*logq = 35.20542629145422904 -------------- ************************************* p = 359; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2066034492983852.208 -------------- Searches starting with [359,401]-exponents: u = 1, v = 53 n_start has 141 digits starting right neighbors generation We generated 411 left neighbors We generated 9599 right neighbors We generated 10009 non-negative rho_i D1(359,401) = 0.6821670202909037440 D2(359,401) = 0.003513165178284077360 C1(359,401) = 0.9852270171015442132 C2(359,401) = 1.434739170823932627 C3(359,401) = 5.731298456630093017 C4(359,401) = 3208 Sum = 3300.926673845734137 Averaged sum = 0.3297958511185667036 logp*logq = 35.26440746100789776 -------------- ************************************* p = 359; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2320653020968820.164 -------------- Searches starting with [359,409]-exponents: u = 1, v = 45 n_start has 121 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(359,409) = 0.7409045045800892431 D2(359,409) = 0.009436605820583647541 C1(359,409) = 1.083844099798607961 C2(359,409) = 1.485502915129428433 C3(359,409) = 6.825759231300569686 C4(359,409) = 3272 Sum = 3044.261929136981893 Averaged sum = 0.3041524557035649808 logp*logq = 35.38062501553789906 -------------- ************************************* p = 359; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2675041159796876.993 -------------- Searches starting with [359,419]-exponents: u = 1, v = 38 n_start has 103 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(359,419) = 0.8376598286452541126 D2(359,419) = 0.02505346753495179119 C1(359,419) = 1.242853940898340450 C2(359,419) = 1.549599745240235126 C3(359,419) = 9.047498919767836160 C4(359,419) = 3352 Sum = 2783.035386021867495 Averaged sum = 0.2780532906406102003 logp*logq = 35.52274116198023294 -------------- ************************************* p = 359; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2751044453671332.750 -------------- Searches starting with [359,421]-exponents: u = 1, v = 36 n_start has 98 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(359,421) = 0.8298907080419818063 D2(359,421) = 0.02624242359195535948 C1(359,421) = 1.234188287076072582 C2(359,421) = 1.560055749800740643 C3(359,421) = 8.909621537636202299 C4(359,421) = 3368 Sum = 4724.031326911696371 Averaged sum = 0.4719783521742128455 logp*logq = 35.55075703581792503 -------------- ************************************* p = 359; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3158487085646198.170 -------------- Searches starting with [359,431]-exponents: u = 1, v = 32 n_start has 87 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(359,431) = 0.6429943787889075805 D2(359,431) = 0.04545330817768027265 C1(359,431) = 0.8658948035594988219 C2(359,431) = 1.620990843623184341 C3(359,431) = 4.638870521421414288 C4(359,431) = 3448 Sum = 3831.725590219184189 Averaged sum = 0.3828280138094898780 logp*logq = 35.68886953749725303 -------------- ************************************* p = 359; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3245699193467442.439 -------------- Searches starting with [359,433]-exponents: u = 1, v = 31 n_start has 85 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(359,433) = 0.5357076961496688246 D2(359,433) = 0.02305669124354690683 C1(359,433) = 0.7631277069631181936 C2(359,433) = 1.610027043531791324 C3(359,433) = 3.866520934251558520 C4(359,433) = 3464 Sum = 4303.530971188972645 Averaged sum = 0.4299661276040536162 logp*logq = 35.71610718979751601 -------------- ************************************* p = 359; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3519416556150836.594 -------------- Searches starting with [359,439]-exponents: u = 1, v = 29 n_start has 80 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(359,439) = 0.8250533952707755844 D2(359,439) = 0.01630350346596469239 C1(359,439) = 1.129923876454221541 C2(359,439) = 1.628506762266046155 C3(359,439) = 7.406533726648405120 C4(359,439) = 3512 Sum = 4266.775638536743344 Averaged sum = 0.4262938993442644963 logp*logq = 35.79707161968894805 -------------- ************************************* p = 359; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3712327576505116.564 -------------- Searches starting with [359,443]-exponents: u = 1, v = 27 n_start has 75 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(359,443) = 1.094253660156867797 D2(359,443) = 0.02719514372564560121 C1(359,443) = 1.670131362202615409 C2(359,443) = 1.653305886991569694 C3(359,443) = 19.29171866750126790 C4(359,443) = 3544 Sum = 5278.827392213023527 Averaged sum = 0.5274080719565414653 logp*logq = 35.85043545392191965 -------------- ************************************* p = 359; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4018095714564579.135 -------------- Searches starting with [359,449]-exponents: u = 1, v = 26 n_start has 72 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(359,449) = 0.6131774329631674162 D2(359,449) = 0.07945444068148757814 C1(359,449) = 0.8597611007000979751 C2(359,449) = 1.720853044751743936 C3(359,449) = 4.588720591409155672 C4(359,449) = 3592 Sum = 4067.806327886755716 Averaged sum = 0.4064148594152018899 logp*logq = 35.92958448246434571 -------------- ************************************* p = 359; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4458045856007650.982 -------------- Searches starting with [359,457]-exponents: u = 1, v = 24 n_start has 67 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(359,457) = 0.5687487416322711615 D2(359,457) = 0.05217935242566154610 C1(359,457) = 0.8014825087802570722 C2(359,457) = 1.725340003248540973 C3(359,457) = 4.138463126361229747 C4(359,457) = 3656 Sum = 4309.204036570927098 Averaged sum = 0.4305329240254697870 logp*logq = 36.03348691605018335 -------------- ************************************* p = 359; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4692575735135915.115 -------------- Searches starting with [359,461]-exponents: u = 1, v = 23 n_start has 64 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(359,461) = 0.7643907822794159378 D2(359,461) = 0.02610947495730704569 C1(359,461) = 1.112456505352208404 C2(359,461) = 1.716595446029148152 C3(359,461) = 7.180781638667107865 C4(359,461) = 3688 Sum = 4211.320749645832753 Averaged sum = 0.4207533969073666453 logp*logq = 36.08475802387237752 -------------- ************************************* p = 359; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4813625761979880.413 -------------- Searches starting with [359,463]-exponents: u = 1, v = 23 n_start has 64 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(359,463) = 0.9050588484955768447 D2(359,463) = 0.06834583856558016814 C1(359,463) = 1.209822148028070639 C2(359,463) = 1.759477268716806493 C3(359,463) = 8.533093886874443222 C4(359,463) = 3704 Sum = 3919.311927978728639 Averaged sum = 0.3915787719031600198 logp*logq = 36.11022699173575026 -------------- ************************************* p = 359; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5063511088890192.991 -------------- Searches starting with [359,467]-exponents: u = 1, v = 22 n_start has 62 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(359,467) = 0.5885379418771662937 D2(359,467) = 0.03017502025557962347 C1(359,467) = 0.8340314057075407191 C2(359,467) = 1.739750316709424752 C3(359,467) = 4.384190919352793056 C4(359,467) = 3736 Sum = 4244.297323935489014 Averaged sum = 0.4240480891133468892 logp*logq = 36.16083652866396697 -------------- ************************************* p = 359; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5878654474653005.630 -------------- Searches starting with [359,479]-exponents: u = 1, v = 20 n_start has 57 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(359,479) = 0.9614388500157247357 D2(359,479) = 0.0002686651226192934650 C1(359,479) = 1.326054765787961162 C2(359,479) = 1.751974765125640405 C3(359,479) = 10.48483931328722430 C4(359,479) = 3832 Sum = 4539.495837421492322 Averaged sum = 0.4535413964853124510 logp*logq = 36.31010429979412345 -------------- ************************************* p = 359; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6480362604608298.977 -------------- Searches starting with [359,487]-exponents: u = 1, v = 19 n_start has 54 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(359,487) = 0.6122930355259492011 D2(359,487) = 0.1542119960528528863 C1(359,487) = 0.8312397315283116809 C2(359,487) = 1.908436354411474418 C3(359,487) = 4.362555072906136098 C4(359,487) = 3896 Sum = 3984.843669330632006 Averaged sum = 0.3981260534849267665 logp*logq = 36.40755286121058672 -------------- ************************************* p = 359; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6799860322481445.200 -------------- Searches starting with [359,491]-exponents: u = 1, v = 18 n_start has 51 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(359,491) = 0.6401630074463990051 D2(359,491) = 0.06145258392250221934 C1(359,491) = 0.8870437748767530160 C2(359,491) = 1.838465663988299122 C3(359,491) = 4.816027721499494002 C4(359,491) = 3928 Sum = 4321.928869125372134 Averaged sum = 0.4318042630757690213 logp*logq = 36.45567846607022874 -------------- ************************************* p = 359; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7478170220122134.377 -------------- Searches starting with [359,499]-exponents: u = 1, v = 17 n_start has 49 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(359,499) = 0.6586381932094314086 D2(359,499) = 0.03552713655584927537 C1(359,499) = 1.055042058150880859 C2(359,499) = 1.838471819067281478 C3(359,499) = 6.486109280691038339 C4(359,499) = 3992 Sum = 4196.317598517683284 Averaged sum = 0.4192544308639907367 logp*logq = 36.55076453399366575 -------------- ************************************* p = 359; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7837822257101123.373 -------------- Searches starting with [359,503]-exponents: u = 1, v = 17 n_start has 49 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(359,503) = 0.9842909883998464489 D2(359,503) = 0.1013009507896304349 C1(359,503) = 1.325505292365353778 C2(359,503) = 1.905477799635785854 C3(359,503) = 10.47463484051825192 C4(359,503) = 4024 Sum = 4057.266944993150717 Averaged sum = 0.4053618688173794302 logp*logq = 36.59773741735790663 -------------- ************************************* p = 359; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8404140961202030.864 -------------- Searches starting with [359,509]-exponents: u = 1, v = 16 n_start has 46 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(359,509) = 0.6504562820739356034 D2(359,509) = 0.02109108522532231258 C1(359,509) = 0.8891913172036021541 C2(359,509) = 1.852783541768150659 C3(359,509) = 4.834391028658714152 C4(359,509) = 4072 Sum = 4267.239164703461769 Averaged sum = 0.4263402102810931930 logp*logq = 36.66750095086105768 -------------- ************************************* p = 359; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9639004951763317.279 -------------- Searches starting with [359,521]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(359,521) = 0.8482721151665494567 D2(359,521) = 0.01077789032415827980 C1(359,521) = 1.187541698042060404 C2(359,521) = 1.874407357099875503 C3(359,521) = 8.202740738659347557 C4(359,521) = 4168 Sum = 4708.020276066654928 Averaged sum = 0.4703786867885557926 logp*logq = 36.80459427743406895 -------------- ************************************* p = 359; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9858749896075475.168 -------------- Searches starting with [359,523]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(359,523) = 0.5907840084438906147 D2(359,523) = 0.03608400980484471458 C1(359,523) = 0.8584054209882023713 C2(359,523) = 1.900314921455008882 C3(359,523) = 4.577709746081149066 C4(359,523) = 4184 Sum = 4109.592737208384008 Averaged sum = 0.4105897429521814375 logp*logq = 36.82713577009939977 -------------- ************************************* p = 359; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12030416467571101.57 -------------- Searches starting with [359,541]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(359,541) = 0.7391532066923645833 D2(359,541) = 0.06933782362400161417 C1(359,541) = 1.081282235981430330 C2(359,541) = 1.970336457555412330 C3(359,541) = 6.794840969421766231 C4(359,541) = 4328 Sum = 4207.773831905889142 Averaged sum = 0.4203990240689268800 logp*logq = 37.02621454338126323 -------------- ************************************* p = 359; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12836958476914978.96 -------------- Searches starting with [359,547]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(359,547) = 0.9776439355689623037 D2(359,547) = 0.08843125514922592196 C1(359,547) = 1.617404590025263899 C2(359,547) = 1.173081683283554432 C3(359,547) = 17.57078650976694299 C4(359,547) = 4376 Sum = 3599.698771751312952 Averaged sum = 0.3596461955990921122 logp*logq = 37.09110478636735981 -------------- ************************************* p = 359; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14280760814681966.96 -------------- Searches starting with [359,557]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(359,557) = 0.7213085645855670674 D2(359,557) = 0.03894032818269442352 C1(359,557) = 1.020197109261389391 C2(359,557) = 1.979791637665387712 C3(359,557) = 6.097710474468547809 C4(359,557) = 4456 Sum = 4402.532795325744309 Averaged sum = 0.4398574078654954849 logp*logq = 37.19768962874195661 -------------- ************************************* p = 359; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15209944143036596.75 -------------- Searches starting with [359,563]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(359,563) = 0.7635846535661728710 D2(359,563) = 0.08023087503154687536 C1(359,563) = 1.276410139912774435 C2(359,563) = 1.274422526105666733 C3(359,563) = 9.601833053329794335 C4(359,563) = 4504 Sum = 3971.301251013904985 Averaged sum = 0.3967730293749530407 logp*logq = 37.26072582879096186 -------------- ************************************* p = 359; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16188763542248594.28 -------------- Searches starting with [359,569]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(359,569) = 0.6434963791331030030 D2(359,569) = 0.1075564764645735611 C1(359,569) = 0.8800704961419785166 C2(359,569) = 1.797145675112921861 C3(359,569) = 4.756879880400124715 C4(359,569) = 4552 Sum = 4037.448176004762746 Averaged sum = 0.4033817740038727891 logp*logq = 37.32309378798818472 -------------- ************************************* p = 359; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16526425590112511.77 -------------- Searches starting with [359,571]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(359,571) = 0.7590468295988821655 D2(359,571) = 0.1056495944948430403 C1(359,571) = 1.121271246511162566 C2(359,571) = 1.795853148804112979 C3(359,571) = 7.293831813837838523 C4(359,571) = 4568 Sum = 3588.804394616968180 Averaged sum = 0.3585577374979486642 logp*logq = 37.34373704561812674 -------------- ************************************* p = 359; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17574682183898033.21 -------------- Searches starting with [359,577]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(359,577) = 0.9401887943460812483 D2(359,577) = 0.01412246393877512303 C1(359,577) = 1.336443420711273646 C2(359,577) = 2.000494754635395876 C3(359,577) = 10.67965253672672281 C4(359,577) = 4616 Sum = 4840.607006727614096 Averaged sum = 0.4836254377787605251 logp*logq = 37.40523574902416479 -------------- ************************************* p = 359; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19444220021172389.12 -------------- Searches starting with [359,587]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(359,587) = 0.9360497855819443542 D2(359,587) = 0.06481168980985963443 C1(359,587) = 1.582765897569057199 C2(359,587) = 1.163726246337390180 C3(359,587) = 16.52465799434524944 C4(359,587) = 4696 Sum = 3627.933002526226593 Averaged sum = 0.3624670798807300023 logp*logq = 37.50632624966309608 -------------- ************************************* p = 359; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20643092659908246.09 -------------- Searches starting with [359,593]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(359,593) = 0.5590349697855388796 D2(359,593) = 0.08732570819393693058 C1(359,593) = 0.7797457656456909740 C2(359,593) = 1.814377412308858013 C3(359,593) = 3.982080178326571132 C4(359,593) = 4744 Sum = 4221.641614785164282 Averaged sum = 0.4217845553786756201 logp*logq = 37.56615716247327844 -------------- ************************************* p = 359; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21902687485389538.98 -------------- Searches starting with [359,599]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(359,599) = 0.9676856234895111288 D2(359,599) = 0.07563902259726151292 C1(359,599) = 1.500435789069391519 C2(359,599) = 1.667505383594200925 C3(359,599) = 14.28135332146455820 C4(359,599) = 4792 Sum = 3532.311384905243379 Averaged sum = 0.3529135163258310899 logp*logq = 37.62538574043195289 -------------- ************************************* p = 359; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22336462621948170.11 -------------- Searches starting with [359,601]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(359,601) = 0.7209370756989231184 D2(359,601) = 0.07407793622312112749 C1(359,601) = 0.9762536406401426433 C2(359,601) = 1.666521825063580551 C3(359,601) = 5.640880651682527085 C4(359,601) = 4808 Sum = 4189.919193726397597 Averaged sum = 0.4186151657234886200 logp*logq = 37.64499683321867985 -------------- ************************************* p = 359; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23680798237496252.63 -------------- Searches starting with [359,607]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(359,607) = 0.8983823273677303637 D2(359,607) = 0.03073447756636248101 C1(359,607) = 1.285659647020334320 C2(359,607) = 2.071006603016641267 C3(359,607) = 9.760516069051024847 C4(359,607) = 4856 Sum = 4950.625410172251208 Averaged sum = 0.4946173853703917682 logp*logq = 37.70344091371206958 -------------- ************************************* p = 359; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25091615090078138.19 -------------- Searches starting with [359,613]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(359,613) = 1.443083541383098110 D2(359,613) = 0.04410679555630243253 C1(359,613) = 2.472224641771620641 C2(359,613) = 1.111414628560818486 C3(359,613) = 79.92452667149560083 C4(359,613) = 4904 Sum = 4447.764453216981793 Averaged sum = 0.4443765064658788883 logp*logq = 37.76131012508165026 -------------- ************************************* p = 359; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26070368856384779.60 -------------- Searches starting with [359,617]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(359,617) = 0.6038974355976927850 D2(359,617) = 0.06870477094170431690 C1(359,617) = 1.034569433143416884 C2(359,617) = 1.837326126365423569 C3(359,617) = 6.255010826408781428 C4(359,617) = 4936 Sum = 3848.519422930447674 Averaged sum = 0.3845058869947494928 logp*logq = 37.79957577144740313 -------------- ************************************* p = 359; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26571501557298107.41 -------------- Searches starting with [359,619]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(359,619) = 1.093707604650689377 D2(359,619) = 0.06709551906175125967 C1(359,619) = 1.569039329881456840 C2(359,619) = 1.836302465893751618 C3(359,619) = 16.12754277464840630 C4(359,619) = 4952 Sum = 5486.122612849630273 Averaged sum = 0.5481189542261594837 logp*logq = 37.81861566634483711 -------------- ************************************* p = 359; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29749208649164506.24 -------------- Searches starting with [359,631]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(359,631) = 0.7115140119491706426 D2(359,631) = 0.05302707100705645438 C1(359,631) = 0.9992568985932169029 C2(359,631) = 1.682271504319548146 C3(359,631) = 5.875579939802949754 C4(359,631) = 5048 Sum = 4071.509765762645586 Averaged sum = 0.4067848701930907769 logp*logq = 37.93157892652045318 -------------- ************************************* p = 359; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32632525524144027.14 -------------- Searches starting with [359,641]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(359,641) = 0.6062165457760989895 D2(359,641) = 0.01356937119172919649 C1(359,641) = 0.8528023114673970371 C2(359,641) = 2.115905695992046700 C3(359,641) = 4.532480792970486744 C4(359,641) = 5128 Sum = 4288.092967159988225 Averaged sum = 0.4284237153721638750 logp*logq = 38.02408590136062033 -------------- ************************************* p = 359; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33236133030651053.69 -------------- Searches starting with [359,643]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(359,643) = 0.6886143951360205903 D2(359,643) = 0.02797396179422800468 C1(359,643) = 1.197703386302701255 C2(359,643) = 2.130827574506620977 C3(359,643) = 8.351791631189793155 C4(359,643) = 5144 Sum = 4236.724021529689964 Averaged sum = 0.4232914398570976086 logp*logq = 38.04241402331255423 -------------- ************************************* p = 359; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34471174931588269.43 -------------- Searches starting with [359,647]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(359,647) = 1.191928086549197569 D2(359,647) = 0.02928964213137355749 C1(359,647) = 2.072801230918377239 C2(359,647) = 1.090784746515074639 C3(359,647) = 39.37991462038713018 C4(359,647) = 5176 Sum = 3514.912835247194896 Averaged sum = 0.3511752258214801574 logp*logq = 38.07889986048629954 -------------- ************************************* p = 359; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36395001452331868.74 -------------- Searches starting with [359,653]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(359,653) = 0.9820898397991960181 D2(359,653) = 0.04243797013156329560 C1(359,653) = 1.399009906437628050 C2(359,653) = 1.861339977939376125 C3(359,653) = 11.93190281759367614 C4(359,653) = 5224 Sum = 3998.393397275677320 Averaged sum = 0.3994798079004573204 logp*logq = 38.13320783738561428 -------------- ************************************* p = 359; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38407113626065768.78 -------------- Searches starting with [359,659]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(359,659) = 0.6348610496759325562 D2(359,659) = 0.03814028174216346386 C1(359,659) = 0.9594997315070338859 C2(359,659) = 1.858729941198955729 C3(359,659) = 5.475864881227015342 C4(359,659) = 5272 Sum = 3767.565694507039879 Averaged sum = 0.3764177934366110379 logp*logq = 38.18701908802637434 -------------- ************************************* p = 359; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39097985988551649.32 -------------- Searches starting with [359,661]-exponents: u = 1, v = 9 n_start has 28 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(359,661) = 0.6919887114533073230 D2(359,661) = 0.03672705117452384745 C1(359,661) = 0.9494955198995509004 C2(359,661) = 1.857875781062524334 C3(359,661) = 5.379640511814997581 C4(359,661) = 5288 Sum = 4097.474672593185196 Averaged sum = 0.4093790261357963029 logp*logq = 38.20484735133115533 -------------- ************************************* p = 359; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43463464608221576.53 -------------- Searches starting with [359,673]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(359,673) = 0.6918579046633802463 D2(359,673) = 0.02608478365267687087 C1(359,673) = 0.9507272012397049624 C2(359,673) = 1.699348805899885296 C3(359,673) = 5.391395418775828249 C4(359,673) = 5384 Sum = 4110.104708309720201 Averaged sum = 0.4106408940263483066 logp*logq = 38.31069708603281485 -------------- ************************************* p = 359; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45005509959582633.99 -------------- Searches starting with [359,677]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(359,677) = 0.6676517376982619784 D2(359,677) = 0.02232466568257074611 C1(359,677) = 0.9179305413481025138 C2(359,677) = 1.604959099201506528 C3(359,677) = 5.086981205375842924 C4(359,677) = 5416 Sum = 4226.424203941422577 Averaged sum = 0.4222623842483187708 logp*logq = 38.34556132073168661 -------------- ************************************* p = 359; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47403541009655213.97 -------------- Searches starting with [359,683]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(359,683) = 0.6447699509563285071 D2(359,683) = 0.01708392589874310040 C1(359,683) = 0.9128228629862867928 C2(359,683) = 1.450353525224989538 C3(359,683) = 5.041144521334488787 C4(359,683) = 5464 Sum = 4341.030708806071569 Averaged sum = 0.4337127294241254440 logp*logq = 38.39747332566649481 -------------- ************************************* p = 359; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50765044093242785.31 -------------- Searches starting with [359,691]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(359,691) = 1.128106162842704086 D2(359,691) = 0.01215206367508317468 C1(359,691) = 1.996322214076395943 C2(359,691) = 1.067949042332387636 C3(359,691) = 34.38862306385301728 C4(359,691) = 5528 Sum = 3111.021812475376406 Averaged sum = 0.3108224410505921077 logp*logq = 38.46598440423914236 -------------- ************************************* p = 359; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55242907307151085.24 -------------- Searches starting with [359,701]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(359,701) = 0.6317060444423591701 D2(359,701) = 0.01056145322616394785 C1(359,701) = 0.9193503502389048086 C2(359,701) = 1.889819888318984885 C3(359,701) = 5.099796542197663320 C4(359,701) = 5608 Sum = 4043.921321268936824 Averaged sum = 0.4040285064710697196 logp*logq = 38.55051635253662998 -------------- ************************************* p = 359; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59056923220844707.90 -------------- Searches starting with [359,709]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(359,709) = 0.6039479223583460131 D2(359,709) = 0.005526513729825685805 C1(359,709) = 0.9217902603343219582 C2(359,709) = 1.886926319228806060 C3(359,709) = 5.121894871703686368 C4(359,709) = 5672 Sum = 3992.262189842753470 Averaged sum = 0.3988672384696526596 logp*logq = 38.61727817404898570 -------------- ************************************* p = 359; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64129379620968022.86 -------------- Searches starting with [359,719]-exponents: u = 19, v = 8 n_start has 72 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(359,719) = 0.8539177271993146192 D2(359,719) = 0.1365990105295295269 C1(359,719) = 1.151718664044101298 C2(359,719) = 1.381673843780629572 C3(359,719) = 7.698192501893423994 C4(359,719) = 5752 Sum = 4098.276716429364805 Averaged sum = 0.4094591584003761419 logp*logq = 38.69967899425214137 -------------- ************************************* p = 359; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68443067374430938.34 -------------- Searches starting with [359,727]-exponents: u = 19, v = 8 n_start has 72 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(359,727) = 0.9039167494556390658 D2(359,727) = 0.1032137792489992132 C1(359,727) = 1.384643310925033910 C2(359,727) = 1.828596180848408233 C3(359,727) = 11.63195866483787131 C4(359,727) = 5816 Sum = 3976.135158703695668 Averaged sum = 0.3972559854834344758 logp*logq = 38.76477866137616710 -------------- ************************************* p = 359; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71834051113011394.24 -------------- Searches starting with [359,733]-exponents: u = 37, v = 8 n_start has 118 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(359,733) = 0.6996121115273919920 D2(359,733) = 0.06597025751137973609 C1(359,733) = 1.042959091025791390 C2(359,733) = 1.792858579994492920 C3(359,733) = 6.348701913881902301 C4(359,733) = 5864 Sum = 3107.790622205894678 Averaged sum = 0.3104996125692771184 logp*logq = 38.81313500802895743 -------------- ************************************* p = 359; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75363324637824762.46 -------------- Searches starting with [359,739]-exponents: u = 55, v = 8 n_start has 164 digits starting right neighbors generation We generated 1740 left neighbors We generated 8270 right neighbors We generated 10009 non-negative rho_i D1(359,739) = 0.5850207351488894697 D2(359,739) = 0.03265905557143687210 C1(359,739) = 0.8343059817547888778 C2(359,739) = 1.761040846863295318 C3(359,739) = 4.386324707501709050 C4(359,739) = 5912 Sum = 4213.089083159120029 Averaged sum = 0.4209300712517853960 logp*logq = 38.86109714094963711 -------------- ************************************* p = 359; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77795193453167659.85 -------------- Searches starting with [359,743]-exponents: u = 100, v = 8 n_start has 279 digits starting right neighbors generation We generated 5245 left neighbors We generated 4765 right neighbors We generated 10009 non-negative rho_i D1(359,743) = 0.6141795929751582454 D2(359,743) = 0.01216867559756876892 C1(359,743) = 0.8505228550390317769 C2(359,743) = 1.741539295355673512 C3(359,743) = 4.514208883716361236 C4(359,743) = 5944 Sum = 4184.349044700525798 Averaged sum = 0.4180586516835373961 logp*logq = 38.89285604337890485 -------------- ************************************* p = 359; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82854637700262646.12 -------------- Searches starting with [359,751]-exponents: u = 9, v = 271 n_start has 803 digits --- performed 5000 steps in the continued fraction search [359,751]-exponents: u = 52, v = 216 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(359,751) = 0.5851384943024990523 D2(359,751) = 0.3065459793285435242 C1(359,751) = 0.7664114524402134179 C2(359,751) = 1.478515373429878096 C3(359,751) = 3.889086572220914254 C4(359,751) = 6008 Sum = 5109.816417423387885 Averaged sum = 0.5110327450168404725 logp*logq = 38.95586411428675813 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(359,751) = 0.5851384943024990523 D2(359,751) = 0.3065459793285435242 C1(359,751) = 0.7664114524402134179 C2(359,751) = 1.478515373429878096 C3(359,751) = 3.889086572220914254 C4(359,751) = 6008 Sum = 5109.816417423387885 Averaged sum = 0.5110327450168404725 logp*logq = 38.95586411428675813 -------------- ************************************* p = 359; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86825890553763746.82 -------------- Searches starting with [359,757]-exponents: u = 9, v = 63 n_start has 205 digits starting right neighbors generation We generated 1480 left neighbors We generated 8530 right neighbors We generated 10009 non-negative rho_i D1(359,757) = 0.6424618975427893661 D2(359,757) = 0.01065747442767991536 C1(359,757) = 0.9022778965834532041 C2(359,757) = 1.432283740307775137 C3(359,757) = 4.947815572884983927 C4(359,757) = 6056 Sum = 4382.589751767141357 Averaged sum = 0.4378648967696214764 logp*logq = 39.00268125037003836 -------------- ************************************* p = 359; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89560160050811439.10 -------------- Searches starting with [359,761]-exponents: u = 9, v = 39 n_start has 136 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(359,761) = 0.7738776899340594109 D2(359,761) = 0.02510967758981527863 C1(359,761) = 1.119294456904595463 C2(359,761) = 1.553954210614654618 C3(359,761) = 7.268325408771046125 C4(359,761) = 6088 Sum = 4531.181835448575783 Averaged sum = 0.4527107438753697455 logp*logq = 39.03368697371882339 -------------- ************************************* p = 359; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95243434216738654.05 -------------- Searches starting with [359,769]-exponents: u = 9, v = 23 n_start has 90 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(359,769) = 0.5319768255894133272 D2(359,769) = 0.05852975338747323223 C1(359,769) = 0.7385183956182902468 C2(359,769) = 1.716260319862992272 C3(359,769) = 3.701523257979990263 C4(359,769) = 6152 Sum = 4183.800979409157269 Averaged sum = 0.4180038944359233958 logp*logq = 39.09521247443383802 -------------- ************************************* p = 359; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98195385295453034.46 -------------- Searches starting with [359,773]-exponents: u = 9, v = 23 n_start has 90 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(359,773) = 0.9152390020151596998 D2(359,773) = 0.07523619273044657046 C1(359,773) = 1.413059507167869512 C2(359,773) = 1.733833985634273146 C3(359,773) = 12.23270769933540587 C4(359,773) = 6184 Sum = 3088.017384190174434 Averaged sum = 0.3085240667589344024 logp*logq = 39.12573561624891016 -------------- ************************************* p = 359; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109132217372618550.1 -------------- Searches starting with [359,787]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(359,787) = 1.078429736178420534 D2(359,787) = 0.09380490818876897384 C1(359,787) = 1.752967243446238011 C2(359,787) = 1.197563209013015300 C3(359,787) = 22.34206392836631992 C4(359,787) = 6296 Sum = 2994.222353927391855 Averaged sum = 0.2991529976948138530 logp*logq = 39.23133654546408895 -------------- ************************************* p = 359; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117547853094208185.3 -------------- Searches starting with [359,797]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(359,797) = 0.7365770092337149648 D2(359,797) = 0.08991954843170125204 C1(359,797) = 1.047019117491332472 C2(359,797) = 1.877929421360928482 C3(359,797) = 6.394544658328573646 C4(359,797) = 6376 Sum = 4376.507412654254071 Averaged sum = 0.4372572097766264432 logp*logq = 39.30562190596314109 -------------- ************************************* p = 359; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128350818274668766.8 -------------- Searches starting with [359,809]-exponents: u = 33, v = 7 n_start has 105 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(359,809) = 0.6723775922694469150 D2(359,809) = 0.03258737541040881002 C1(359,809) = 1.013156171121980415 C2(359,809) = 1.823403322903450755 C3(359,809) = 6.022099603543824976 C4(359,809) = 6472 Sum = 3516.289720024981612 Averaged sum = 0.3513127904910562105 logp*logq = 39.39354367754579641 -------------- ************************************* p = 359; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130228944357649463.6 -------------- Searches starting with [359,811]-exponents: u = 33, v = 7 n_start has 105 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(359,811) = 0.6296381284400562009 D2(359,811) = 0.02392594399581558678 C1(359,811) = 0.8888803390216080591 C2(359,811) = 1.815205462582176179 C3(359,811) = 4.831727572449837334 C4(359,811) = 6488 Sum = 4183.611298893166359 Averaged sum = 0.4179849434402204375 logp*logq = 39.40807040687302716 -------------- ************************************* p = 359; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139965288614380054.7 -------------- Searches starting with [359,821]-exponents: u = 65, v = 7 n_start has 187 digits starting right neighbors generation We generated 2152 left neighbors We generated 7858 right neighbors We generated 10009 non-negative rho_i D1(359,821) = 0.7752282750041170815 D2(359,821) = 0.02045561480206039671 C1(359,821) = 1.095428376613895882 C2(359,821) = 1.710491819871664914 C3(359,821) = 6.967331700360713870 C4(359,821) = 6568 Sum = 4653.544536531257919 Averaged sum = 0.4649360112430070855 logp*logq = 39.48017084830945204 -------------- ************************************* p = 359; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141983252921548938.5 -------------- Searches starting with [359,823]-exponents: u = 81, v = 7 n_start has 228 digits starting right neighbors generation We generated 3302 left neighbors We generated 6708 right neighbors We generated 10009 non-negative rho_i D1(359,823) = 0.8424250540981615266 D2(359,823) = 0.005923096657740973133 C1(359,823) = 1.175016689033541096 C2(359,823) = 1.696400962273131128 C3(359,823) = 8.022679717329928509 C4(359,823) = 6584 Sum = 4662.838336322820522 Averaged sum = 0.4658645555323029795 logp*logq = 39.49448550838462028 -------------- ************************************* p = 359; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 146091679850277874.8 -------------- Searches starting with [359,827]-exponents: u = 153, v = 7 n_start has 412 digits --- performed 5000 steps in the continued fraction search [359,827]-exponents: u = 31, v = 76 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(359,827) = 0.5408893161089126466 D2(359,827) = 0.03964013875133354907 C1(359,827) = 0.7774321215528172579 C2(359,827) = 1.527448595787623361 C3(359,827) = 3.965786840289651397 C4(359,827) = 6616 Sum = 4632.171191896200036 Averaged sum = 0.4632634455341734209 logp*logq = 39.52301076372455741 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(359,827) = 0.5408893161089126466 D2(359,827) = 0.03964013875133354907 C1(359,827) = 0.7774321215528172579 C2(359,827) = 1.527448595787623361 C3(359,827) = 3.965786840289651397 C4(359,827) = 6616 Sum = 4632.171191896200036 Averaged sum = 0.4632634455341734209 logp*logq = 39.52301076372455741 -------------- ************************************* p = 359; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148182600341535951.0 -------------- Searches starting with [359,829]-exponents: u = 265, v = 7 n_start has 698 digits --- performed 5000 steps in the continued fraction search [359,829]-exponents: u = 77, v = 152 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(359,829) = 0.6171945553965301857 D2(359,829) = 0.2419823587325505503 C1(359,829) = 0.8132154844307068960 C2(359,829) = 1.461801831056988824 C3(359,829) = 4.225411926214107245 C4(359,829) = 6632 Sum = 4994.905151762010931 Averaged sum = 0.4995404692231234054 logp*logq = 39.53722169427765562 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(359,829) = 0.6171945553965301857 D2(359,829) = 0.2419823587325505503 C1(359,829) = 0.8132154844307068960 C2(359,829) = 1.461801831056988824 C3(359,829) = 4.225411926214107245 C4(359,829) = 6632 Sum = 4994.905151762010931 Averaged sum = 0.4995404692231234054 logp*logq = 39.53722169427765562 -------------- ************************************* p = 359; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 159013575402946542.8 -------------- Searches starting with [359,839]-exponents: u = 8, v = 97 n_start has 305 digits --- performed 5000 steps in the continued fraction search [359,839]-exponents: u = 24, v = 13 --- starting right neighbors generation We generated 5909 left neighbors We generated 4101 right neighbors We generated 10009 non-negative rho_i D1(359,839) = 0.5713337708939804900 D2(359,839) = 0.007875472987725516141 C1(359,839) = 0.7863193231044837559 C2(359,839) = 1.646856289445291372 C3(359,839) = 4.028739242725918440 C4(359,839) = 6712 Sum = 4276.603265588518704 Averaged sum = 0.4272757783583293739 logp*logq = 39.60776597337900675 -------------- ************************************* p = 359; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175274224633859875.0 -------------- Searches starting with [359,853]-exponents: u = 8, v = 27 n_start has 100 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(359,853) = 0.8818093077109418068 D2(359,853) = 0.0009116228532410875144 C1(359,853) = 1.308354157381227625 C2(359,853) = 1.642856451108756820 C3(359,853) = 10.16105939369068831 C4(359,853) = 6824 Sum = 4512.191968236221201 Averaged sum = 0.4508134647053872715 logp*logq = 39.70512814028182171 -------------- ************************************* p = 359; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180165542868005729.3 -------------- Searches starting with [359,857]-exponents: u = 8, v = 27 n_start has 100 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(359,857) = 0.7299960821262007785 D2(359,857) = 0.01153012133862067838 C1(359,857) = 0.9839625703052178465 C2(359,857) = 1.654265784128764984 C3(359,857) = 5.718470407036349935 C4(359,857) = 6856 Sum = 3858.502659838657644 Averaged sum = 0.3855033130021638169 logp*logq = 39.73265250575200046 -------------- ************************************* p = 359; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 182653361158293079.0 -------------- Searches starting with [359,859]-exponents: u = 8, v = 20 n_start has 80 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(359,859) = 0.7243499557283351841 D2(359,859) = 0.01774844790475512476 C1(359,859) = 1.098153394990805979 C2(359,859) = 1.739412677481801759 C3(359,859) = 7.001058760713599832 C4(359,859) = 6872 Sum = 3668.264562776555351 Averaged sum = 0.3664966093292592018 logp*logq = 39.74636655016329425 -------------- ************************************* p = 359; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187714597811371735.2 -------------- Searches starting with [359,863]-exponents: u = 8, v = 20 n_start has 80 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(359,863) = 0.5548817921531910849 D2(359,863) = 0.02930712249155737978 C1(359,863) = 0.8013901804867948094 C2(359,863) = 1.751766150265678397 C3(359,863) = 4.137786058970669908 C4(359,863) = 6904 Sum = 3950.957507562222560 Averaged sum = 0.3947404843203339554 logp*logq = 39.77369910751620328 -------------- ************************************* p = 359; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 206355190358217299.9 -------------- Searches starting with [359,877]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(359,877) = 0.5868882559178265263 D2(359,877) = 0.07743615929459353646 C1(359,877) = 0.8008959765350672724 C2(359,877) = 1.919308845191750069 C3(359,877) = 4.134163815719169364 C4(359,877) = 7016 Sum = 4081.208323263590129 Averaged sum = 0.4077538538578869147 logp*logq = 39.86837530397063491 -------------- ************************************* p = 359; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 211954526365667993.7 -------------- Searches starting with [359,881]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(359,881) = 0.6838721777663652100 D2(359,881) = 0.09163262322552925745 C1(359,881) = 0.9710868876469828844 C2(359,881) = 1.934280958440650359 C3(359,881) = 5.589467831117751429 C4(359,881) = 7048 Sum = 3748.684726771717267 Averaged sum = 0.3745313944221917541 logp*logq = 39.89514814829950154 -------------- ************************************* p = 359; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 214801130616657751.2 -------------- Searches starting with [359,883]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(359,883) = 0.6391584915396617093 D2(359,883) = 0.09893128278455230554 C1(359,883) = 0.8861976681389421378 C2(359,883) = 1.941966097764724552 C3(359,883) = 4.808811961026623634 C4(359,883) = 7064 Sum = 3905.017274784117136 Averaged sum = 0.3901505919456606191 logp*logq = 39.90848902111002345 -------------- ************************************* p = 359; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220589599458081779.2 -------------- Searches starting with [359,887]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(359,887) = 1.081046738339676964 D2(359,887) = 0.07106446091964609263 C1(359,887) = 1.788496420169627198 C2(359,887) = 1.177202647202545133 C3(359,887) = 23.79399407928755810 C4(359,887) = 7096 Sum = 2923.775703275467513 Averaged sum = 0.2921146671271323322 logp*logq = 39.93508035400977426 -------------- ************************************* p = 359; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 251511106763482635.1 -------------- Searches starting with [359,907]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(359,907) = 1.055398435279734981 D2(359,907) = 0.03912076330706427690 C1(359,907) = 1.419985487680677206 C2(359,907) = 1.907787291841515875 C3(359,907) = 12.38377320645072905 C4(359,907) = 7256 Sum = 4116.293763808342625 Averaged sum = 0.4112592430620783920 logp*logq = 40.06626354555680504 -------------- ************************************* p = 359; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 258107560667084514.9 -------------- Searches starting with [359,911]-exponents: u = 22, v = 6 n_start has 74 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(359,911) = 0.7330186558031334757 D2(359,911) = 0.02510103065492940169 C1(359,911) = 0.9886562955304091729 C2(359,911) = 1.894618305069223215 C3(359,911) = 5.766234168212714354 C4(359,911) = 7288 Sum = 4025.290537401053319 Averaged sum = 0.4021671033470929482 logp*logq = 40.09215279476329397 -------------- ************************************* p = 359; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 271731816675763550.1 -------------- Searches starting with [359,919]-exponents: u = 22, v = 6 n_start has 74 digits starting right neighbors generation We generated 200 left neighbors We generated 9810 right neighbors We generated 10009 non-negative rho_i D1(359,919) = 0.7770784477439728097 D2(359,919) = 0.1100975507784886032 C1(359,919) = 1.037981747080521624 C2(359,919) = 1.869362958243060439 C3(359,919) = 6.292949691219162839 C4(359,919) = 7352 Sum = 3806.170830173062412 Averaged sum = 0.3802748356652075544 logp*logq = 40.14359200671658738 -------------- ************************************* p = 359; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 289596493835358228.9 -------------- Searches starting with [359,929]-exponents: u = 36, v = 6 n_start has 110 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(359,929) = 0.8033694118451143912 D2(359,929) = 0.04152691789203287693 C1(359,929) = 1.103409671901183539 C2(359,929) = 1.802811545703251151 C3(359,929) = 7.066576624959906023 C4(359,929) = 7432 Sum = 4193.281325972197156 Averaged sum = 0.4189510766282542867 logp*logq = 40.20726494842685163 -------------- ************************************* p = 359; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 304580480747483699.7 -------------- Searches starting with [359,937]-exponents: u = 50, v = 6 n_start has 146 digits starting right neighbors generation We generated 1113 left neighbors We generated 8897 right neighbors We generated 10009 non-negative rho_i D1(359,937) = 0.6937842714241757124 D2(359,937) = 0.04639130117738999302 C1(359,937) = 0.9568947256156630035 C2(359,937) = 1.732026048081106837 C3(359,937) = 5.450644426627308047 C4(359,937) = 7496 Sum = 4286.961691023849775 Averaged sum = 0.4283106894818513113 logp*logq = 40.25771175172776970 -------------- ************************************* p = 359; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 312310370602476016.4 -------------- Searches starting with [359,941]-exponents: u = 64, v = 6 n_start has 182 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(359,941) = 0.8639483936415783406 D2(359,941) = 0.01319820969653226649 C1(359,941) = 1.176066049413553448 C2(359,941) = 1.699603652288768701 C3(359,941) = 8.037612526434620384 C4(359,941) = 7528 Sum = 4100.995959460994339 Averaged sum = 0.4097308381917268797 logp*logq = 40.28277386582889072 -------------- ************************************* p = 359; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 324210045731186811.8 -------------- Searches starting with [359,947]-exponents: u = 106, v = 6 n_start has 289 digits starting right neighbors generation We generated 4829 left neighbors We generated 5181 right neighbors We generated 10009 non-negative rho_i D1(359,947) = 0.6224616433951845433 D2(359,947) = 0.01465881469179721719 C1(359,947) = 0.8589990404923017574 C2(359,947) = 1.598574560222430612 C3(359,947) = 4.582527874744762610 C4(359,947) = 7576 Sum = 4199.273107072613403 Averaged sum = 0.4195497159628947351 logp*logq = 40.32016798994807354 -------------- ************************************* p = 359; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 336483644842286666.0 -------------- Searches starting with [359,953]-exponents: u = 267, v = 6 n_start has 701 digits --- performed 5000 steps in the continued fraction search [359,953]-exponents: u = 172, v = 68 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(359,953) = 0.7270133662384179845 D2(359,953) = 0.2220912591962647784 C1(359,953) = 0.9576020143504110135 C2(359,953) = 1.461997728012258333 C3(359,953) = 5.457480556760135616 C4(359,953) = 7624 Sum = 4970.748247365451443 Averaged sum = 0.4971245371902641707 logp*logq = 40.35732593907663533 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(359,953) = 0.7270133662384179845 D2(359,953) = 0.2220912591962647784 C1(359,953) = 0.9576020143504110135 C2(359,953) = 1.461997728012258333 C3(359,953) = 5.457480556760135616 C4(359,953) = 7624 Sum = 4970.748247365451443 Averaged sum = 0.4971245371902641707 logp*logq = 40.35732593907663533 -------------- ************************************* p = 359; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 366628662237068854.4 -------------- Searches starting with [359,967]-exponents: u = 7, v = 89 n_start has 284 digits starting right neighbors generation We generated 4695 left neighbors We generated 5315 right neighbors We generated 10009 non-negative rho_i D1(359,967) = 1.471779243812779127 D2(359,967) = 0.004294888774662739504 C1(359,967) = 2.025586466089137614 C2(359,967) = 1.604646450662306514 C3(359,967) = 36.21906359618858890 C4(359,967) = 7736 Sum = 5128.777684657432492 Averaged sum = 0.5124165935315648408 logp*logq = 40.44312591121280861 -------------- ************************************* p = 359; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 375641680385261231.3 -------------- Searches starting with [359,971]-exponents: u = 7, v = 65 n_start has 213 digits starting right neighbors generation We generated 2561 left neighbors We generated 7449 right neighbors We generated 10009 non-negative rho_i D1(359,971) = 0.8017815982413725191 D2(359,971) = 0.01694992572185129808 C1(359,971) = 1.082089621360388284 C2(359,971) = 1.666972342851812463 C3(359,971) = 6.804569884953621915 C4(359,971) = 7768 Sum = 3898.963137482828400 Averaged sum = 0.3895457225979446897 logp*logq = 40.46741210622986546 -------------- ************************************* p = 359; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 389505528209042563.4 -------------- Searches starting with [359,977]-exponents: u = 7, v = 47 n_start has 159 digits starting right neighbors generation We generated 1414 left neighbors We generated 8596 right neighbors We generated 10009 non-negative rho_i D1(359,977) = 0.7662979896925444183 D2(359,977) = 0.02489162030126567123 C1(359,977) = 1.105173147446010493 C2(359,977) = 1.738895769334062876 C3(359,977) = 7.088694878068360711 C4(359,977) = 7816 Sum = 3456.838933026296857 Averaged sum = 0.3453730575508339351 logp*logq = 40.50365445321201902 -------------- ************************************* p = 359; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 403791441991415366.4 -------------- Searches starting with [359,983]-exponents: u = 7, v = 35 n_start has 123 digits starting right neighbors generation We generated 876 left neighbors We generated 9134 right neighbors We generated 10009 non-negative rho_i D1(359,983) = 0.5703683245081733099 D2(359,983) = 0.002681952059078691007 C1(359,983) = 0.7669517429809035965 C2(359,983) = 1.803709799021647017 C3(359,983) = 3.892812002404375276 C4(359,983) = 7864 Sum = 3890.691592804447667 Averaged sum = 0.3887193118997350052 logp*logq = 40.53967490688334569 -------------- ************************************* p = 359; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 423513451679097549.0 -------------- Searches starting with [359,991]-exponents: u = 7, v = 23 n_start has 87 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(359,991) = 0.6605030034951079136 D2(359,991) = 0.04050965145072769463 C1(359,991) = 0.9924292639855977015 C2(359,991) = 1.842842629354862759 C3(359,991) = 5.804917303526048240 C4(359,991) = 7928 Sum = 3665.066775896752817 Averaged sum = 0.3661771181833103024 logp*logq = 40.58736167161310948 -------------- ************************************* p = 359; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 438823989209495954.3 -------------- Searches starting with [359,997]-exponents: u = 7, v = 23 n_start has 87 digits starting right neighbors generation We generated 372 left neighbors We generated 9638 right neighbors We generated 10009 non-negative rho_i D1(359,997) = 0.8606922079780237222 D2(359,997) = 0.07144338773657484829 C1(359,997) = 1.158018016356419353 C2(359,997) = 1.874748201417084675 C3(359,997) = 7.784610561374743339 C4(359,997) = 7976 Sum = 3942.499619039856067 Averaged sum = 0.3938954559935913745 logp*logq = 40.62287479184816528 -------------- ************************************* p = 367; q = 373; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1537698602504536.372 -------------- Searches starting with [367,373]-exponents: u = 1, v = 364 n_start has 939 digits --- performed 5000 steps in the continued fraction search [367,373]-exponents: u = 346, v = 6 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,373) = 0.7788618198458312810 D2(367,373) = 0.07789076973543586205 C1(367,373) = 1.013298168330977185 C2(367,373) = 1.130838607602873614 C3(367,373) = 6.046480824424560022 C4(367,373) = 2984 Sum = 5375.721350662736699 Averaged sum = 0.5376258976560392738 logp*logq = 34.96906327962786419 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,373) = 0.7788618198458312810 D2(367,373) = 0.07789076973543586205 C1(367,373) = 1.013298168330977185 C2(367,373) = 1.130838607602873614 C3(367,373) = 6.046480824424560022 C4(367,373) = 2984 Sum = 5375.721350662736699 Averaged sum = 0.5376258976560392738 logp*logq = 34.96906327962786419 -------------- ************************************* p = 367; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1689653337283076.882 -------------- Searches starting with [367,379]-exponents: u = 1, v = 183 n_start has 475 digits starting right neighbors generation We generated 4001 left neighbors We generated 6009 right neighbors We generated 10009 non-negative rho_i D1(367,379) = 0.6019238697737888901 D2(367,379) = 0.000009076139276529146316 C1(367,379) = 0.8066863411842809223 C2(367,379) = 1.167152099804518740 C3(367,379) = 4.189421223287440738 C4(367,379) = 3032 Sum = 4968.848786182356076 Averaged sum = 0.4964380843423275128 logp*logq = 35.06329977693647722 -------------- ************************************* p = 367; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1797725942832108.422 -------------- Searches starting with [367,383]-exponents: u = 1, v = 138 n_start has 360 digits starting right neighbors generation We generated 2243 left neighbors We generated 7767 right neighbors We generated 10009 non-negative rho_i D1(367,383) = 0.6107117633364101181 D2(367,383) = 0.01130398934634140729 C1(367,383) = 0.8305008350249039845 C2(367,383) = 1.228465172369829872 C3(367,383) = 4.370396843471430754 C4(367,383) = 3064 Sum = 4588.411269525631872 Averaged sum = 0.4584285412654243053 logp*logq = 35.12529889600106550 -------------- ************************************* p = 367; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1970559551551947.981 -------------- Searches starting with [367,389]-exponents: u = 1, v = 101 n_start has 265 digits starting right neighbors generation We generated 1260 left neighbors We generated 8750 right neighbors We generated 10009 non-negative rho_i D1(367,389) = 0.5718803377064851445 D2(367,389) = 0.008828209673057984334 C1(367,389) = 0.7914684586949372467 C2(367,389) = 1.288447300712323327 C3(367,389) = 4.077718951998599664 C4(367,389) = 3112 Sum = 4220.021773531579972 Averaged sum = 0.4216227169079408504 logp*logq = 35.21709393365068915 -------------- ************************************* p = 367; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2222277605203995.657 -------------- Searches starting with [367,397]-exponents: u = 1, v = 75 n_start has 198 digits starting right neighbors generation We generated 724 left neighbors We generated 9286 right neighbors We generated 10009 non-negative rho_i D1(367,397) = 0.7195018734012077477 D2(367,397) = 0.01792335187769276390 C1(367,397) = 1.014542710903392102 C2(367,397) = 1.363216246373349726 C3(367,397) = 6.059859137433399214 C4(367,397) = 3176 Sum = 3824.934665611565182 Averaged sum = 0.3821495319823723831 logp*logq = 35.33730901315969852 -------------- ************************************* p = 367; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2357813570923666.438 -------------- Searches starting with [367,401]-exponents: u = 1, v = 66 n_start has 175 digits starting right neighbors generation We generated 575 left neighbors We generated 9435 right neighbors We generated 10009 non-negative rho_i D1(367,401) = 0.5778581770572260848 D2(367,401) = 0.005206695755158201473 C1(367,401) = 0.8210608711977168324 C2(367,401) = 1.380974253230306468 C3(367,401) = 4.297741941263237812 C4(367,401) = 3208 Sum = 4555.086596791544672 Averaged sum = 0.4550990705156903459 logp*logq = 35.39651113152693118 -------------- ************************************* p = 367; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2649544272723573.207 -------------- Searches starting with [367,409]-exponents: u = 1, v = 54 n_start has 144 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(367,409) = 1.303471729768176070 D2(367,409) = 0.03599219594309259092 C1(367,409) = 1.794982414111085448 C2(367,409) = 1.459374481445201736 C3(367,409) = 24.23114461074919509 C4(367,409) = 3272 Sum = 4956.268403144213047 Averaged sum = 0.4951811772548919020 logp*logq = 35.51316404756269815 -------------- ************************************* p = 367; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3055783972185183.995 -------------- Searches starting with [367,419]-exponents: u = 1, v = 44 n_start has 118 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(367,419) = 0.6428866934362893452 D2(367,419) = 0.03368445758592554484 C1(367,419) = 0.8959837875280211294 C2(367,419) = 1.513074775937580290 C3(367,419) = 4.909354267555469835 C4(367,419) = 3352 Sum = 4469.166716023444797 Averaged sum = 0.4465148082748970724 logp*logq = 35.65581257398634355 -------------- ************************************* p = 367; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3142934768037862.949 -------------- Searches starting with [367,421]-exponents: u = 1, v = 43 n_start has 116 digits starting right neighbors generation We generated 293 left neighbors We generated 9717 right neighbors We generated 10009 non-negative rho_i D1(367,421) = 1.062878814339705636 D2(367,421) = 0.001505089973361938146 C1(367,421) = 1.561672513058316359 C2(367,421) = 1.495515016853851138 C3(367,421) = 16.01159076596635321 C4(367,421) = 3368 Sum = 3018.996429086074499 Averaged sum = 0.3016281775488135178 logp*logq = 35.68393339782981269 -------------- ************************************* p = 367; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3610285613626226.604 -------------- Searches starting with [367,431]-exponents: u = 1, v = 36 n_start has 98 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(367,431) = 0.7056222661061425788 D2(367,431) = 0.03665444795155217345 C1(367,431) = 0.9553764975899811232 C2(367,431) = 1.573775433609082199 C3(367,431) = 5.455452682032276859 C4(367,431) = 3448 Sum = 4298.696065531233732 Averaged sum = 0.4294830717885137108 logp*logq = 35.82256328147384772 -------------- ************************************* p = 367; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3710351342361901.044 -------------- Searches starting with [367,433]-exponents: u = 1, v = 35 n_start has 95 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(367,433) = 0.5958894553775372477 D2(367,433) = 0.03160888484159915128 C1(367,433) = 0.8210204697356361990 C2(367,433) = 1.578362559791539639 C3(367,433) = 4.297433600644393508 C4(367,433) = 3464 Sum = 4292.822856123426388 Averaged sum = 0.4288962789612774890 logp*logq = 35.84990296849138660 -------------- ************************************* p = 367; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4024474339959169.258 -------------- Searches starting with [367,439]-exponents: u = 1, v = 32 n_start has 88 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(367,439) = 0.9587874049401866765 D2(367,439) = 0.06821706651893559190 C1(367,439) = 1.441628817538281981 C2(367,439) = 1.636112619646798030 C3(367,439) = 12.93752493756209296 C4(367,439) = 3512 Sum = 5033.854391112928275 Averaged sum = 0.5029327995916603331 logp*logq = 35.93117069848454203 -------------- ************************************* p = 367; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4245917969309926.607 -------------- Searches starting with [367,443]-exponents: u = 1, v = 31 n_start has 85 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(367,443) = 0.5818601330707464701 D2(367,443) = 0.02310307536593958507 C1(367,443) = 0.8077350004443665330 C2(367,443) = 1.613356790768656310 C3(367,443) = 4.197230337551860905 C4(367,443) = 3544 Sum = 4306.626678861634541 Averaged sum = 0.4302754200081561136 logp*logq = 35.98473443848320499 -------------- ************************************* p = 367; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4596998412814223.729 -------------- Searches starting with [367,449]-exponents: u = 1, v = 29 n_start has 80 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(367,449) = 0.5549183406070929294 D2(367,449) = 0.01241920376944647446 C1(367,449) = 0.7733817367311761501 C2(367,449) = 1.627891600271411638 C3(367,449) = 3.948825735175935873 C4(367,449) = 3592 Sum = 4217.587922692732712 Averaged sum = 0.4213795506736669709 logp*logq = 36.06417996646915726 -------------- ************************************* p = 367; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5102319463414097.313 -------------- Searches starting with [367,457]-exponents: u = 1, v = 26 n_start has 72 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(367,457) = 0.8040626861569261979 D2(367,457) = 0.02120117307678863081 C1(367,457) = 1.232578805513922788 C2(367,457) = 1.665188897976652777 C3(367,457) = 8.925285290140845660 C4(367,457) = 3656 Sum = 4193.479961530202559 Averaged sum = 0.4189709223229296192 logp*logq = 36.16847162800013267 -------------- ************************************* p = 367; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5371775070867645.013 -------------- Searches starting with [367,461]-exponents: u = 1, v = 25 n_start has 70 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(367,461) = 0.7365535111175883911 D2(367,461) = 0.01340316680257747819 C1(367,461) = 1.133422805983980049 C2(367,461) = 1.672816404044555467 C3(367,461) = 7.484251756342945096 C4(367,461) = 3688 Sum = 3913.963629993172653 Averaged sum = 0.3910444230186005249 logp*logq = 36.21993480204497295 -------------- ************************************* p = 367; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5510871535465971.547 -------------- Searches starting with [367,463]-exponents: u = 1, v = 25 n_start has 70 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(367,463) = 0.6158220465361631288 D2(367,463) = 0.05748412516775543375 C1(367,463) = 0.8397956838613368787 C2(367,463) = 1.717535388106409237 C3(367,463) = 4.443134842193789291 C4(367,463) = 3704 Sum = 4085.859338088180604 Averaged sum = 0.4082185371254051957 logp*logq = 36.24549917897321664 -------------- ************************************* p = 367; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5798051477245786.635 -------------- Searches starting with [367,467]-exponents: u = 1, v = 24 n_start has 67 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(367,467) = 0.9996962254707859022 D2(367,467) = 0.03807955695635035829 C1(367,467) = 1.451223431658225066 C2(367,467) = 1.714448549573138369 C3(367,467) = 13.15985222803865827 C4(367,467) = 3736 Sum = 4800.252047510276310 Averaged sum = 0.4795935705375438415 logp*logq = 36.29629830381947446 -------------- ************************************* p = 367; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6735209062985613.783 -------------- Searches starting with [367,479]-exponents: u = 1, v = 22 n_start has 62 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(367,479) = 0.6993710163807875901 D2(367,479) = 0.05065994218093678995 C1(367,479) = 0.9510672120510283531 C2(367,479) = 1.764041312380563647 C3(367,479) = 5.413863127659745592 C4(367,479) = 3832 Sum = 4166.407317898335338 Averaged sum = 0.4162660923067574521 logp*logq = 36.44612524556601779 -------------- ************************************* p = 367; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7427300461938283.903 -------------- Searches starting with [367,487]-exponents: u = 1, v = 20 n_start has 57 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(367,487) = 0.9116387948765718283 D2(367,487) = 0.07502895428337879144 C1(367,487) = 1.225096804620114032 C2(367,487) = 1.809357324726229911 C3(367,487) = 8.807479475590431149 C4(367,487) = 3896 Sum = 4155.518552409404226 Averaged sum = 0.4151781948655614173 logp*logq = 36.54393885813679716 -------------- ************************************* p = 367; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7794889689519332.940 -------------- Searches starting with [367,491]-exponents: u = 1, v = 20 n_start has 57 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(367,491) = 0.8197821594179408311 D2(367,491) = 0.01172953027086013769 C1(367,491) = 1.110716578877909264 C2(367,491) = 1.767197475597115410 C3(367,491) = 7.188467100380838862 C4(367,491) = 3928 Sum = 3981.404586917354184 Averaged sum = 0.3977824544827009875 logp*logq = 36.59224474587953985 -------------- ************************************* p = 367; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8575511315736396.052 -------------- Searches starting with [367,499]-exponents: u = 1, v = 19 n_start has 54 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(367,499) = 0.5571776088113515134 D2(367,499) = 0.004720389270996524852 C1(367,499) = 0.8875340021364907042 C2(367,499) = 1.784208488955640351 C3(367,499) = 4.836236218491138437 C4(367,499) = 3992 Sum = 4226.406053322168516 Averaged sum = 0.4222605708184802193 logp*logq = 36.68768701484227682 -------------- ************************************* p = 367; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8989520122077894.402 -------------- Searches starting with [367,503]-exponents: u = 1, v = 18 n_start has 52 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(367,503) = 0.6294864797367965845 D2(367,503) = 0.06835417577688466420 C1(367,503) = 0.8853266578714190932 C2(367,503) = 1.849064878781864191 C3(367,503) = 4.817315590139967183 C4(367,503) = 4024 Sum = 4341.089799233256175 Averaged sum = 0.4337186331534874788 logp*logq = 36.73483586289028956 -------------- ************************************* p = 367; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9641573698293951.325 -------------- Searches starting with [367,509]-exponents: u = 1, v = 18 n_start has 52 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(367,509) = 0.8514641467393546805 D2(367,509) = 0.009296468516240359614 C1(367,509) = 1.365029983190364232 C2(367,509) = 1.815303238627779186 C3(367,509) = 11.29209741194385072 C4(367,509) = 4072 Sum = 2991.847759876956725 Averaged sum = 0.2989157518110657134 logp*logq = 36.80486073692083595 -------------- ************************************* p = 367; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11063940677900597.56 -------------- Searches starting with [367,521]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(367,521) = 0.7253756067177260456 D2(367,521) = 0.01964201308276174703 C1(367,521) = 0.9921697965051125447 C2(367,521) = 1.854960195615978537 C3(367,521) = 5.823814009233021708 C4(367,521) = 4168 Sum = 4304.316666418703037 Averaged sum = 0.4300446264780400676 logp*logq = 36.94246762753611800 -------------- ************************************* p = 367; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11317126160175589.52 -------------- Searches starting with [367,523]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(367,523) = 0.9180136503499224795 D2(367,523) = 0.04701219407298036681 C1(367,523) = 1.328631086118243621 C2(367,523) = 1.882926502193614024 C3(367,523) = 10.58527373819945860 C4(367,523) = 4184 Sum = 4231.362704696952800 Averaged sum = 0.4227557902584626636 logp*logq = 36.96509356267856576 -------------- ************************************* p = 367; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13820343982158591.50 -------------- Searches starting with [367,541]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(367,541) = 0.6142405455544846801 D2(367,541) = 0.1125425787785047421 C1(367,541) = 0.8331193102683287595 C2(367,541) = 1.982084875097713264 C3(367,541) = 4.390766719457299335 C4(367,541) = 4328 Sum = 4233.014499074269189 Averaged sum = 0.4229208211683753810 logp*logq = 37.16491810311111903 -------------- ************************************* p = 367; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14750471316338771.49 -------------- Searches starting with [367,547]-exponents: u = 1, v = 14 n_start has 41 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(367,547) = 0.8425373898165015011 D2(367,547) = 0.1386282518466489074 C1(367,547) = 1.184967168428843288 C2(367,547) = 1.770065519556734630 C3(367,547) = 8.201660682617811409 C4(367,547) = 4376 Sum = 4739.212530030659398 Averaged sum = 0.4734951074064001796 logp*logq = 37.23005143083609329 -------------- ************************************* p = 367; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16416044090209943.68 -------------- Searches starting with [367,557]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(367,557) = 0.6041326472691686220 D2(367,557) = 0.1025533396736506901 C1(367,557) = 1.000411919356606989 C2(367,557) = 1.411385806782598324 C3(367,557) = 5.909683268004227100 C4(367,557) = 4456 Sum = 3853.461401783146545 Averaged sum = 0.3849996405018629778 logp*logq = 37.33703554970257346 -------------- ************************************* p = 367; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17488289651464585.97 -------------- Searches starting with [367,563]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(367,563) = 1.256013224481384411 D2(367,563) = 0.1237941994189286045 C1(367,563) = 1.774245426018712560 C2(367,563) = 1.784138160632939309 C3(367,563) = 23.35503915312620117 C4(367,563) = 4504 Sum = 4616.307596980896811 Averaged sum = 0.4612156655990505356 logp*logq = 37.40030788907736359 -------------- ************************************* p = 367; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18618078841895609.32 -------------- Searches starting with [367,569]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(367,569) = 0.6836734820803319285 D2(367,569) = 0.02369353839623400559 C1(367,569) = 1.044232502596392984 C2(367,569) = 1.967957053043773026 C3(367,569) = 6.387937780171505923 C4(367,569) = 4552 Sum = 3769.121655657293013 Averaged sum = 0.3765732496410523542 logp*logq = 37.46290948430949911 -------------- ************************************* p = 367; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19007880922189674.54 -------------- Searches starting with [367,571]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(367,571) = 0.6023409623332204245 D2(367,571) = 0.04467652731033120054 C1(367,571) = 0.8867482842487784725 C2(367,571) = 1.989501716593550689 C3(367,571) = 4.829492800311048808 C4(367,571) = 4568 Sum = 3927.512419845325755 Averaged sum = 0.3923980837091943006 logp*logq = 37.48363007345585469 -------------- ************************************* p = 367; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20218191363126779.89 -------------- Searches starting with [367,577]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(367,577) = 0.8507224793403739249 D2(367,577) = 0.07537067801997335499 C1(367,577) = 1.423246890326203636 C2(367,577) = 1.214499891213438447 C3(367,577) = 12.52201450846287417 C4(367,577) = 4616 Sum = 3708.322723838526426 Averaged sum = 0.3704988234427541638 logp*logq = 37.54535915658572852 -------------- ************************************* p = 367; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22377409745909923.79 -------------- Searches starting with [367,587]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(367,587) = 0.7790652640684123008 D2(367,587) = 0.1025577623883556458 C1(367,587) = 1.082875694803179154 C2(367,587) = 1.796935390270035330 C3(367,587) = 6.841701223274114760 C4(367,587) = 4696 Sum = 4414.326877193392953 Averaged sum = 0.4410357555393538768 logp*logq = 37.64682835141380152 -------------- ************************************* p = 367; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23762459449985769.43 -------------- Searches starting with [367,593]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(367,593) = 0.8156930683178251967 D2(367,593) = 0.03211387484853787486 C1(367,593) = 1.096786668000587628 C2(367,593) = 2.022913591432357381 C3(367,593) = 7.012823267401513904 C4(367,593) = 4744 Sum = 3948.106556996840751 Averaged sum = 0.3944556456186273105 logp*logq = 37.70688339625289912 -------------- ************************************* p = 367; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25217985617617715.44 -------------- Searches starting with [367,599]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(367,599) = 0.8328267777042120030 D2(367,599) = 0.06299062818759401840 C1(367,599) = 1.409518068128130983 C2(367,599) = 1.226964428022811692 C3(367,599) = 12.22041336145361789 C4(367,599) = 4792 Sum = 3842.606541270497370 Averaged sum = 0.3839151305095911050 logp*logq = 37.76633384983947445 -------------- ************************************* p = 367; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25719308482841022.42 -------------- Searches starting with [367,601]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(367,601) = 0.9913248259170168332 D2(367,601) = 0.06153133477678847288 C1(367,601) = 1.677675540777458758 C2(367,601) = 1.137311440084008643 C3(367,601) = 19.67439617500526204 C4(367,601) = 4808 Sum = 3330.902837376905996 Averaged sum = 0.3327907720428520328 logp*logq = 37.78601840755944552 -------------- ************************************* p = 367; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27273213498339427.63 -------------- Searches starting with [367,607]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(367,607) = 0.6278411925060203135 D2(367,607) = 0.08659152812676289155 C1(367,607) = 0.9114139192997068438 C2(367,607) = 1.817099299290543056 C3(367,607) = 5.045739301175304601 C4(367,607) = 4856 Sum = 4071.739389820743522 Averaged sum = 0.4068078119513181659 logp*logq = 37.84468142488203970 -------------- ************************************* p = 367; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28904318836374412.12 -------------- Searches starting with [367,613]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(367,613) = 0.8902286944845456760 D2(367,613) = 0.08154514204100361357 C1(367,613) = 1.381381826729073739 C2(367,613) = 1.813800961801148633 C3(367,613) = 11.62481147021275464 C4(367,613) = 4904 Sum = 3461.394520191939492 Averaged sum = 0.3458282066332240475 logp*logq = 37.90276741956891888 -------------- ************************************* p = 367; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30036100782067244.48 -------------- Searches starting with [367,617]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(367,617) = 0.5790490229645122026 D2(367,617) = 0.07205663806640773042 C1(367,617) = 0.7883687913895901356 C2(367,617) = 1.668281028879187700 C3(367,617) = 4.055334497287790021 C4(367,617) = 4936 Sum = 4130.049813929725184 Averaged sum = 0.4126336111429438690 logp*logq = 37.94117641251848401 -------------- ************************************* p = 367; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30615647598273040.09 -------------- Searches starting with [367,619]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(367,619) = 0.6227901836063158189 D2(367,619) = 0.007367865931407001336 C1(367,619) = 0.8526210765941206471 C2(367,619) = 2.050847438345964292 C3(367,619) = 4.545493415941377135 C4(367,619) = 4952 Sum = 4146.241947256641030 Averaged sum = 0.4142513684940194854 logp*logq = 37.96028763259003381 -------------- ************************************* p = 367; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34291505432760258.22 -------------- Searches starting with [367,631]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(367,631) = 0.6698003145435168690 D2(367,631) = 0.06845565712100522864 C1(367,631) = 1.148479090253298726 C2(367,631) = 1.840409249333555993 C3(367,631) = 7.687063961248063324 C4(367,631) = 5048 Sum = 4270.517520818331273 Averaged sum = 0.4266677511058378732 logp*logq = 38.07367406338944374 -------------- ************************************* p = 367; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37628102676859635.42 -------------- Searches starting with [367,641]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(367,641) = 0.6007287113884178740 D2(367,641) = 0.06071493423955829617 C1(367,641) = 0.8634612562797892538 C2(367,641) = 1.835511923682544387 C3(367,641) = 4.633844798154377744 C4(367,641) = 5128 Sum = 3793.238363979219014 Averaged sum = 0.3789827519211928279 logp*logq = 38.16652757775217369 -------------- ************************************* p = 367; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38326745315921062.58 -------------- Searches starting with [367,643]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(367,643) = 0.6833305582704102613 D2(367,643) = 0.05920113402772386274 C1(367,643) = 1.070382016863869809 C2(367,643) = 1.834561373609622244 C3(367,643) = 6.691575757123505674 C4(367,643) = 5144 Sum = 3896.755931448420827 Averaged sum = 0.3893252004644241010 logp*logq = 38.18492435851217769 -------------- ************************************* p = 367; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39756385910444671.07 -------------- Searches starting with [367,647]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(367,647) = 0.7076790611062491804 D2(367,647) = 0.05166214110164920464 C1(367,647) = 0.9631148992103777940 C2(367,647) = 1.684511327282554800 C3(367,647) = 5.530940780673235663 C4(367,647) = 5176 Sum = 3975.833671146982003 Averaged sum = 0.3972258638372446801 logp*logq = 38.22154687494298810 -------------- ************************************* p = 367; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41983718969272333.87 -------------- Searches starting with [367,653]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(367,653) = 1.018973751313110364 D2(367,653) = 0.04327397957033047670 C1(367,653) = 1.494339106309769396 C2(367,653) = 1.528894911324363799 C3(367,653) = 14.20704730031436410 C4(367,653) = 5224 Sum = 3819.940614823400331 Averaged sum = 0.3816505759639724579 logp*logq = 38.27605829445210126 -------------- ************************************* p = 367; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44313737564284383.65 -------------- Searches starting with [367,659]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(367,659) = 0.7034441656190257892 D2(367,659) = 0.02837275622748562362 C1(367,659) = 1.224582087692880095 C2(367,659) = 2.135307571510153597 C3(367,659) = 8.799432540063311327 C4(367,659) = 5272 Sum = 3963.165976846981961 Averaged sum = 0.3959602334745710822 logp*logq = 38.33007112692101834 -------------- ************************************* p = 367; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45113871965900156.40 -------------- Searches starting with [367,661]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(367,661) = 0.9181106676328190780 D2(367,661) = 0.02956159459193838151 C1(367,661) = 1.598149200710721576 C2(367,661) = 1.172292898258334571 C3(367,661) = 17.08311245600581865 C4(367,661) = 5288 Sum = 3751.694703638491077 Averaged sum = 0.3748321214545400216 logp*logq = 38.34796617651801608 -------------- ************************************* p = 367; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50170943231188775.83 -------------- Searches starting with [367,673]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(367,673) = 0.6464582231004479756 D2(367,673) = 0.03858675261042174634 C1(367,673) = 0.9516852076011145068 C2(367,673) = 1.862285380416980103 C3(367,673) = 5.419807963378749631 C4(367,673) = 5384 Sum = 3917.643604867896513 Averaged sum = 0.3914120896061441216 logp*logq = 38.45421243393150668 -------------- ************************************* p = 367; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51957749479504378.83 -------------- Searches starting with [367,677]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(367,677) = 0.6362768555312107181 D2(367,677) = 0.03582664587180236402 C1(367,677) = 0.8620871302816105857 C2(367,677) = 1.860618022342562653 C3(367,677) = 4.622550814475020442 C4(367,677) = 5416 Sum = 3935.286167975428680 Averaged sum = 0.3931747595139802857 logp*logq = 38.48920727321741569 -------------- ************************************* p = 367; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54736860570956208.20 -------------- Searches starting with [367,683]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(367,683) = 0.9717910209520635813 D2(367,683) = 0.03175343312560055837 C1(367,683) = 1.538647590937580854 C2(367,683) = 1.858171650043200464 C3(367,683) = 15.37009637605347374 C4(367,683) = 5464 Sum = 3327.708081712041487 Averaged sum = 0.3324715837458328990 logp*logq = 38.54131374523361390 -------------- ************************************* p = 367; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58633433862482419.98 -------------- Searches starting with [367,691]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(367,691) = 1.224140764328832296 D2(367,691) = 0.02292567229913404554 C1(367,691) = 1.857195978877164206 C2(367,691) = 1.608277063293756510 C3(367,691) = 27.06175291339374357 C4(367,691) = 5528 Sum = 3869.843024468543188 Averaged sum = 0.3866363297500792475 logp*logq = 38.61008147252382949 -------------- ************************************* p = 367; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63825557011662463.76 -------------- Searches starting with [367,701]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(367,701) = 1.085347376207846223 D2(367,701) = 0.01533605847888042620 C1(367,701) = 1.523952271408186358 C2(367,701) = 1.420333721852832606 C3(367,701) = 14.97417404851748811 C4(367,701) = 5608 Sum = 5465.953732853820944 Averaged sum = 0.5461038797935678833 logp*logq = 38.69493008517073431 -------------- ************************************* p = 367; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68249192849506760.89 -------------- Searches starting with [367,709]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(367,709) = 0.9436956851673109724 D2(367,709) = 0.01523148076772317158 C1(367,709) = 1.671517692572017713 C2(367,709) = 1.162408146151030279 C3(367,709) = 19.46041929606416092 C4(367,709) = 5672 Sum = 3966.148129311654136 Averaged sum = 0.3962581805686536253 logp*logq = 38.76194200252496886 -------------- ************************************* p = 367; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74134062442648342.89 -------------- Searches starting with [367,719]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(367,719) = 0.6177054154791660022 D2(367,719) = 0.009077666740634088736 C1(367,719) = 0.8627101219469890862 C2(367,719) = 1.892299430671159951 C3(367,719) = 4.627667787121859798 C4(367,719) = 5752 Sum = 4218.905746161009486 Averaged sum = 0.4215112145230302213 logp*logq = 38.84465150367830502 -------------- ************************************* p = 367; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79140016555699604.84 -------------- Searches starting with [367,727]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(367,727) = 0.6033221212749991556 D2(367,727) = 0.004188438704636631463 C1(367,727) = 0.8330717769283329613 C2(367,727) = 1.889497083163569579 C3(367,727) = 4.390396099101801652 C4(367,727) = 5816 Sum = 4021.954190083827307 Averaged sum = 0.4018337686166277657 logp*logq = 38.90999504006303391 -------------- ************************************* p = 367; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83076023891335760.48 -------------- Searches starting with [367,733]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(367,733) = 0.6276671940762873718 D2(367,733) = 0.0005933578376870910149 C1(367,733) = 1.006285881978936837 C2(367,733) = 1.887451850351359914 C3(367,733) = 5.971651826292611955 C4(367,733) = 5864 Sum = 3971.140669745603250 Averaged sum = 0.3967569856874416276 logp*logq = 38.95853253397862138 -------------- ************************************* p = 367; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87173287021915416.92 -------------- Searches starting with [367,739]-exponents: u = 19, v = 8 n_start has 72 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(367,739) = 0.7633768679835454594 D2(367,739) = 0.1447575043835357811 C1(367,739) = 1.033573277810401357 C2(367,739) = 1.872243991011585310 C3(367,739) = 6.268155868503247320 C4(367,739) = 5912 Sum = 3907.558405077795218 Averaged sum = 0.3904044764789484681 logp*logq = 39.00667433740168364 -------------- ************************************* p = 367; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89996953220422505.39 -------------- Searches starting with [367,743]-exponents: u = 19, v = 8 n_start has 72 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(367,743) = 0.6936413206521901634 D2(367,743) = 0.1164586798775310826 C1(367,743) = 0.9789485055008994757 C2(367,743) = 1.844933749033650136 C3(367,743) = 5.688668443059217391 C4(367,743) = 5944 Sum = 4120.219366885637190 Averaged sum = 0.4116514503832188220 logp*logq = 39.03855221156150438 -------------- ************************************* p = 367; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95872570733030161.82 -------------- Searches starting with [367,751]-exponents: u = 37, v = 8 n_start has 118 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(367,751) = 0.8956272538852491856 D2(367,751) = 0.06690092116939363437 C1(367,751) = 1.336099539272421439 C2(367,751) = 1.797337062692088623 C3(367,751) = 10.72660064371161707 C4(367,751) = 6008 Sum = 3362.753154378794618 Averaged sum = 0.3359729397920666018 logp*logq = 39.10179631642082712 -------------- ************************************* p = 367; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100485399549794484.0 -------------- Searches starting with [367,757]-exponents: u = 55, v = 8 n_start has 165 digits starting right neighbors generation We generated 1740 left neighbors We generated 8270 right neighbors We generated 10009 non-negative rho_i D1(367,757) = 0.5574591152672416250 D2(367,757) = 0.03428770479696885502 C1(367,757) = 0.7646053176191778642 C2(367,757) = 1.766180795353696494 C3(367,757) = 3.887757660222420685 C4(367,757) = 6056 Sum = 3988.714286881982942 Averaged sum = 0.3985127671977203459 logp*logq = 39.14878883374443101 -------------- ************************************* p = 367; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103661865863034330.7 -------------- Searches starting with [367,761]-exponents: u = 91, v = 8 n_start has 257 digits starting right neighbors generation We generated 4400 left neighbors We generated 5610 right neighbors We generated 10009 non-negative rho_i D1(367,761) = 0.6432752731270573735 D2(367,761) = 0.01419946696058819775 C1(367,761) = 0.8965235270165196261 C2(367,761) = 1.747057364340494154 C3(367,761) = 4.914062150122034553 C4(367,761) = 6088 Sum = 4081.453892292678461 Averaged sum = 0.4077783886794563354 logp*logq = 39.17991070734658414 -------------- ************************************* p = 367; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110265411704447909.3 -------------- Searches starting with [367,769]-exponents: u = 9, v = 471 n_start has 1383 digits --- performed 5000 steps in the continued fraction search [367,769]-exponents: u = 85, v = 394 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,769) = 0.6878630600109180962 D2(367,769) = 0.3942728035857651047 C1(367,769) = 0.8825981451361059831 C2(367,769) = 1.481101518987748339 C3(367,769) = 4.794029947219374059 C4(367,769) = 6152 Sum = 5439.004328697065060 Averaged sum = 0.5439548283525417601 logp*logq = 39.24166668817058577 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,769) = 0.6878630600109180962 D2(367,769) = 0.3942728035857651047 C1(367,769) = 0.8825981451361059831 C2(367,769) = 1.481101518987748339 C3(367,769) = 4.794029947219374059 C4(367,769) = 6152 Sum = 5439.004328697065060 Averaged sum = 0.5439548283525417601 logp*logq = 39.24166668817058577 -------------- ************************************* p = 367; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113695949711759330.6 -------------- Searches starting with [367,773]-exponents: u = 9, v = 103 n_start has 321 digits starting right neighbors generation We generated 2785 left neighbors We generated 7225 right neighbors We generated 10009 non-negative rho_i D1(367,773) = 0.6856403410814580709 D2(367,773) = 0.0006705517904994371177 C1(367,773) = 0.9378198431081351854 C2(367,773) = 1.326138814102391189 C3(367,773) = 5.287985854135112456 C4(367,773) = 6184 Sum = 4381.683560755469189 Averaged sum = 0.4377743591523098400 logp*logq = 39.27230417244480748 -------------- ************************************* p = 367; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126409204239638647.3 -------------- Searches starting with [367,787]-exponents: u = 9, v = 23 n_start has 90 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(367,787) = 0.6720939881987038744 D2(367,787) = 0.05211678929807176846 C1(367,787) = 1.007798199767842439 C2(367,787) = 1.713103602329724885 C3(367,787) = 5.987711242631980814 C4(367,787) = 6296 Sum = 3716.907883861899700 Averaged sum = 0.3713565674754620541 logp*logq = 39.37830069232388642 -------------- ************************************* p = 367; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136195034769484016.6 -------------- Searches starting with [367,797]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(367,797) = 0.8465948820220191829 D2(367,797) = 0.09955369101673686464 C1(367,797) = 1.165220496405119565 C2(367,797) = 1.870325789299853914 C3(367,797) = 7.919034697103265974 C4(367,797) = 6376 Sum = 4273.346440541001516 Averaged sum = 0.4269503887042663119 logp*logq = 39.45286433252460675 -------------- ************************************* p = 367; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148760714507118732.1 -------------- Searches starting with [367,809]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(367,809) = 0.7670702096369015521 D2(367,809) = 0.1163265238072487373 C1(367,809) = 1.041167363067852287 C2(367,809) = 1.398522202921260624 C3(367,809) = 6.353261031083098412 C4(367,809) = 6472 Sum = 4067.087311025672737 Averaged sum = 0.4063430223824230929 logp*logq = 39.54111546704232478 -------------- ************************************* p = 367; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150945707609447578.3 -------------- Searches starting with [367,811]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(367,811) = 0.6120036191115051074 D2(367,811) = 0.1221472936330345452 C1(367,811) = 0.8629648928071331660 C2(367,811) = 1.912468923493126592 C3(367,811) = 4.629761991578198576 C4(367,811) = 6488 Sum = 3796.829605895272567 Averaged sum = 0.3793415531916547674 logp*logq = 39.55569661481588516 -------------- ************************************* p = 367; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162274728874187034.6 -------------- Searches starting with [367,821]-exponents: u = 17, v = 7 n_start has 64 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(367,821) = 1.196301676733528480 D2(367,821) = 0.07012501588548071971 C1(367,821) = 1.856307413272220602 C2(367,821) = 1.862746643371382301 C3(367,821) = 27.01908398666759526 C4(367,821) = 6568 Sum = 4600.383410260553741 Averaged sum = 0.4596246788151217645 logp*logq = 39.62806715104889286 -------------- ************************************* p = 367; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164623169407439418.5 -------------- Searches starting with [367,823]-exponents: u = 25, v = 7 n_start has 85 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(367,823) = 0.8842944961170275412 D2(367,823) = 0.06068356893804430379 C1(367,823) = 1.205413464255162468 C2(367,823) = 1.853761784835430869 C3(367,823) = 8.504933694755620750 C4(367,823) = 6584 Sum = 4237.612577178087342 Averaged sum = 0.4233802155238372806 logp*logq = 39.64243543513972768 -------------- ************************************* p = 367; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169404806208094773.8 -------------- Searches starting with [367,827]-exponents: u = 25, v = 7 n_start has 85 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(367,827) = 0.5626137004194516164 D2(367,827) = 0.04258252694472774381 C1(367,827) = 0.7698900594977287423 C2(367,827) = 1.836570553000593926 C3(367,827) = 3.924415880933210181 C4(367,827) = 6616 Sum = 4121.177778517912684 Averaged sum = 0.4117472053669610035 logp*logq = 39.67106754867477457 -------------- ************************************* p = 367; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 171838540815176278.0 -------------- Searches starting with [367,829]-exponents: u = 33, v = 7 n_start has 106 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(367,829) = 0.8834173731545997418 D2(367,829) = 0.03388795312231270172 C1(367,829) = 1.332101149777392345 C2(367,829) = 1.828329211855179877 C3(367,829) = 10.65070529638829532 C4(367,829) = 6632 Sum = 3124.047114943353268 Averaged sum = 0.3121238000742684852 logp*logq = 39.68533171466333646 -------------- ************************************* p = 367; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184447314442781732.1 -------------- Searches starting with [367,839]-exponents: u = 57, v = 7 n_start has 167 digits starting right neighbors generation We generated 1661 left neighbors We generated 8349 right neighbors We generated 10009 non-negative rho_i D1(367,839) = 0.9132340468372948770 D2(367,839) = 0.04105304946926984836 C1(367,839) = 1.314360911179829273 C2(367,839) = 1.734078971710154111 C3(367,839) = 10.32039383859716768 C4(367,839) = 6712 Sum = 3708.496794412369059 Averaged sum = 0.3705162148478738194 logp*logq = 39.75614025903594479 -------------- ************************************* p = 367; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 203382971032883490.4 -------------- Searches starting with [367,853]-exponents: u = 4273, v = 7 n_start has 10980 digits --- performed 5000 steps in the continued fraction search [367,853]-exponents: u = 2794, v = 1300 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,853) = 0.7070001444031964654 D2(367,853) = 0.5970492863732810539 C1(367,853) = 0.8571595248186704773 C2(367,853) = 1.467912280678222547 C3(367,853) = 4.582276541337418853 C4(367,853) = 6824 Sum = 6363.873620758172140 Averaged sum = 0.6364510071765348674 logp*logq = 39.85386715345138761 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,853) = 0.7070001444031964654 D2(367,853) = 0.5970492863732810539 C1(367,853) = 0.8571595248186704773 C2(367,853) = 1.467912280678222547 C3(367,853) = 4.582276541337418853 C4(367,853) = 6824 Sum = 6363.873620758172140 Averaged sum = 0.6364510071765348674 logp*logq = 39.85386715345138761 -------------- ************************************* p = 367; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 209080267400316657.7 -------------- Searches starting with [367,857]-exponents: u = 8, v = 188 n_start has 572 digits --- performed 5000 steps in the continued fraction search [367,857]-exponents: u = 14, v = 158 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,857) = 0.7048986945682927553 D2(367,857) = 0.1791364088365142907 C1(367,857) = 0.9379814472068092247 C2(367,857) = 1.462853688582092561 C3(367,857) = 5.289503651793777555 C4(367,857) = 6856 Sum = 4837.935595376338438 Averaged sum = 0.4838419437320070444 logp*logq = 39.88149462769239537 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,857) = 0.7048986945682927553 D2(367,857) = 0.1791364088365142907 C1(367,857) = 0.9379814472068092247 C2(367,857) = 1.462853688582092561 C3(367,857) = 5.289503651793777555 C4(367,857) = 6856 Sum = 4837.935595376338438 Averaged sum = 0.4838419437320070444 logp*logq = 39.88149462769239537 -------------- ************************************* p = 367; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 211978244950393764.7 -------------- Searches starting with [367,859]-exponents: u = 8, v = 118 n_start has 367 digits --- performed 5000 steps in the continued fraction search [367,859]-exponents: u = 21, v = 61 --- starting right neighbors generation We generated 8444 left neighbors We generated 1566 right neighbors We generated 10009 non-negative rho_i D1(367,859) = 0.8058792201633164652 D2(367,859) = 0.01192154629754195485 C1(367,859) = 1.094247961001499624 C2(367,859) = 1.596143980735849932 C3(367,859) = 6.981277887598210369 C4(367,859) = 6872 Sum = 4527.856653933129387 Averaged sum = 0.4523785247210639811 logp*logq = 39.89526004615857427 -------------- ************************************* p = 367; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 217874367074224853.5 -------------- Searches starting with [367,863]-exponents: u = 8, v = 69 n_start has 224 digits starting right neighbors generation We generated 2997 left neighbors We generated 7013 right neighbors We generated 10009 non-negative rho_i D1(367,863) = 0.5887604805627414912 D2(367,863) = 0.03026925131498197294 C1(367,863) = 0.8228800787910568180 C2(367,863) = 1.673244157799465841 C3(367,863) = 4.311648933591328131 C4(367,863) = 6904 Sum = 4320.052388162085271 Averaged sum = 0.4316167837108687452 logp*logq = 39.92269499375169884 -------------- ************************************* p = 367; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239594871339675342.0 -------------- Searches starting with [367,877]-exponents: u = 8, v = 27 n_start has 100 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(367,877) = 0.7926156108539442780 D2(367,877) = 0.005488362101960305530 C1(367,877) = 1.123928602569503722 C2(367,877) = 1.651407559184596015 C3(367,877) = 7.359122235544404346 C4(367,877) = 7016 Sum = 4440.261012891911629 Averaged sum = 0.4436268371357689708 logp*logq = 40.01772585582971257 -------------- ************************************* p = 367; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 246120831119118515.8 -------------- Searches starting with [367,881]-exponents: u = 8, v = 20 n_start has 80 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(367,881) = 0.7275161644709564334 D2(367,881) = 0.01669899118248687110 C1(367,881) = 1.103745692158529160 C2(367,881) = 1.742034425634358862 C3(367,881) = 7.100027279464566074 C4(367,881) = 7048 Sum = 3672.243979955051963 Averaged sum = 0.3668941932216057511 logp*logq = 40.04459899366301391 -------------- ************************************* p = 367; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 249438763372733229.2 -------------- Searches starting with [367,883]-exponents: u = 8, v = 20 n_start has 80 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(367,883) = 0.7348542496670360565 D2(367,883) = 0.02227571617555161577 C1(367,883) = 1.028597495758215080 C2(367,883) = 1.747998899726041922 C3(367,883) = 6.213012578342388993 C4(367,883) = 7064 Sum = 4371.247158271225499 Averaged sum = 0.4367316573355205814 logp*logq = 40.05798984259373992 -------------- ************************************* p = 367; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 256186166768979779.5 -------------- Searches starting with [367,887]-exponents: u = 8, v = 20 n_start has 80 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(367,887) = 0.7928971891193970842 D2(367,887) = 0.03364995492112936033 C1(367,887) = 1.098656785629640275 C2(367,887) = 1.760145962430229022 C3(367,887) = 7.036152050304005042 C4(367,887) = 7096 Sum = 4125.946767347633898 Averaged sum = 0.4122236754268791985 logp*logq = 40.08468078903964019 -------------- ************************************* p = 367; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 292241060052575812.6 -------------- Searches starting with [367,907]-exponents: u = 8, v = 13 n_start has 59 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(367,907) = 0.6970321867010372361 D2(367,907) = 0.09321326628697215610 C1(367,907) = 0.9464526016766090138 C2(367,907) = 1.415384314599661421 C3(367,907) = 5.369678324274728514 C4(367,907) = 7256 Sum = 4188.367514592102863 Averaged sum = 0.4184601373356082389 logp*logq = 40.21635540472680223 -------------- ************************************* p = 367; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 299934837430956977.7 -------------- Searches starting with [367,911]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(367,911) = 1.058941472302093340 D2(367,911) = 0.06996244753784921067 C1(367,911) = 1.753364556131776585 C2(367,911) = 1.172599841643924534 C3(367,911) = 22.50485927408381768 C4(367,911) = 7288 Sum = 2669.606075618995263 Averaged sum = 0.2667205590587466543 logp*logq = 40.24234163741021306 -------------- ************************************* p = 367; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 315827806968019538.8 -------------- Searches starting with [367,919]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(367,919) = 0.6041861121799889388 D2(367,919) = 0.08033344973031350633 C1(367,919) = 0.8757405458873237229 C2(367,919) = 1.950501055939608145 C3(367,919) = 4.736001629387135890 C4(367,919) = 7352 Sum = 3685.187796965888104 Averaged sum = 0.3681874110266648121 logp*logq = 40.29397354531948277 -------------- ************************************* p = 367; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 336671816214513931.3 -------------- Searches starting with [367,929]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(367,929) = 0.6380861318691421097 D2(367,929) = 0.04307108435992389370 C1(367,929) = 0.8825791268059089861 C2(367,929) = 1.915329977594348239 C3(367,929) = 4.793868036838339521 C4(367,929) = 7432 Sum = 4185.525610347613542 Averaged sum = 0.4181762024525540556 logp*logq = 40.35788501164757793 -------------- ************************************* p = 367; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 354158445211628409.0 -------------- Searches starting with [367,937]-exponents: u = 22, v = 6 n_start has 75 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(367,937) = 0.9963992926685283659 D2(367,937) = 0.01595391757767678249 C1(367,937) = 1.408818675981009889 C2(367,937) = 1.889869466883633582 C3(367,937) = 12.20524474825863726 C4(367,937) = 7496 Sum = 4415.073866389428074 Averaged sum = 0.4411103872903814641 logp*logq = 40.40852079325160152 -------------- ************************************* p = 367; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 363180660357771753.8 -------------- Searches starting with [367,941]-exponents: u = 22, v = 6 n_start has 75 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(367,941) = 0.7449478647165346028 D2(367,941) = 0.003136837154615968632 C1(367,941) = 1.046845540420859279 C2(367,941) = 1.877875342649201822 C3(367,941) = 6.417649193716338735 C4(367,941) = 7528 Sum = 4165.345277227905167 Averaged sum = 0.4161599837374268325 logp*logq = 40.43367679230647898 -------------- ************************************* p = 367; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 377071416538704947.8 -------------- Searches starting with [367,947]-exponents: u = 29, v = 6 n_start has 93 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(367,947) = 0.6836282451271971790 D2(367,947) = 0.07925640159651884914 C1(367,947) = 0.9508414923188592641 C2(367,947) = 1.843100366376091533 C3(367,947) = 5.411693432795750699 C4(367,947) = 7576 Sum = 4279.002288727006729 Averaged sum = 0.4275154649542418552 logp*logq = 40.47121099820804962 -------------- ************************************* p = 367; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 391400663233103115.5 -------------- Searches starting with [367,953]-exponents: u = 36, v = 6 n_start has 111 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(367,953) = 0.6456309971048676554 D2(367,953) = 0.04106065215364299732 C1(367,953) = 0.8872690108692861354 C2(367,953) = 1.806082198593383934 C3(367,953) = 4.833960881187350945 C4(367,953) = 7624 Sum = 4007.054395762901146 Averaged sum = 0.4003451289602259113 logp*logq = 40.50850814438605199 -------------- ************************************* p = 367; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 426602700410469400.9 -------------- Searches starting with [367,967]-exponents: u = 71, v = 6 n_start has 201 digits starting right neighbors generation We generated 2349 left neighbors We generated 7661 right neighbors We generated 10009 non-negative rho_i D1(367,967) = 0.9581772674147778631 D2(367,967) = 0.0005049416827881413973 C1(367,967) = 1.298226871566539108 C2(367,967) = 1.690852659175180770 C3(367,967) = 10.02889187364791239 C4(367,967) = 7736 Sum = 3996.118635544656469 Averaged sum = 0.3992525362718210080 logp*logq = 40.59462953100401266 -------------- ************************************* p = 367; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 437129858241809001.1 -------------- Searches starting with [367,971]-exponents: u = 99, v = 6 n_start has 272 digits starting right neighbors generation We generated 4165 left neighbors We generated 5845 right neighbors We generated 10009 non-negative rho_i D1(367,971) = 0.5652407458768559200 D2(367,971) = 0.02120809043496365029 C1(367,971) = 0.7836874619770920248 C2(367,971) = 1.608512419045611618 C3(367,971) = 4.021760673380972767 C4(367,971) = 7768 Sum = 4098.172019025957072 Averaged sum = 0.4094486980743288113 logp*logq = 40.61900670431152402 -------------- ************************************* p = 367; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 453324599244382549.8 -------------- Searches starting with [367,977]-exponents: u = 218, v = 6 n_start has 578 digits --- performed 5000 steps in the continued fraction search [367,977]-exponents: u = 186, v = 9 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,977) = 0.5040933127847450540 D2(367,977) = 0.1492339976702705537 C1(367,977) = 0.6792881173004682987 C2(367,977) = 1.449705358356848709 C3(367,977) = 3.341170147401107522 C4(367,977) = 7816 Sum = 4843.107855182878356 Averaged sum = 0.4843592214404318787 logp*logq = 40.65538481841438877 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,977) = 0.5040933127847450540 D2(367,977) = 0.1492339976702705537 C1(367,977) = 0.6792881173004682987 C2(367,977) = 1.449705358356848709 C3(367,977) = 3.341170147401107522 C4(367,977) = 7816 Sum = 4843.107855182878356 Averaged sum = 0.4843592214404318787 logp*logq = 40.65538481841438877 -------------- ************************************* p = 367; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 470014625856369586.4 -------------- Searches starting with [367,983]-exponents: u = 7, v = 959 n_start has 2888 digits --- performed 5000 steps in the continued fraction search [367,983]-exponents: u = 255, v = 742 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,983) = 0.5859028890283601435 D2(367,983) = 0.4557676870607041847 C1(367,983) = 0.7341156801545725751 C2(367,983) = 1.475774178520145350 C3(367,983) = 3.682851089298909928 C4(367,983) = 7864 Sum = 5785.670638400015737 Averaged sum = 0.5786249263326348372 logp*logq = 40.69154020797394792 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(367,983) = 0.5859028890283601435 D2(367,983) = 0.4557676870607041847 C1(367,983) = 0.7341156801545725751 C2(367,983) = 1.475774178520145350 C3(367,983) = 3.682851089298909928 C4(367,983) = 7864 Sum = 5785.670638400015737 Averaged sum = 0.5786249263326348372 logp*logq = 40.69154020797394792 -------------- ************************************* p = 367; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 493059184602622563.4 -------------- Searches starting with [367,991]-exponents: u = 7, v = 107 n_start has 339 digits --- performed 5000 steps in the continued fraction search [367,991]-exponents: u = 20, v = 43 --- starting right neighbors generation We generated 6640 left neighbors We generated 3370 right neighbors We generated 10009 non-negative rho_i D1(367,991) = 0.7348158280635034079 D2(367,991) = 0.01000967110540120062 C1(367,991) = 1.005082734462285367 C2(367,991) = 1.573871429323495591 C3(367,991) = 5.958906282158085710 C4(367,991) = 7928 Sum = 4383.530739228705670 Averaged sum = 0.4379589109030578150 logp*logq = 40.73940561165186205 -------------- ************************************* p = 367; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 510951856943418228.3 -------------- Searches starting with [367,997]-exponents: u = 7, v = 59 n_start has 195 digits starting right neighbors generation We generated 2078 left neighbors We generated 7932 right neighbors We generated 10009 non-negative rho_i D1(367,997) = 1.088176547342679696 D2(367,997) = 0.02187077930763642701 C1(367,997) = 1.534394275741086903 C2(367,997) = 1.675597053827038464 C3(367,997) = 15.25443884522643903 C4(367,997) = 7976 Sum = 5417.396232807055066 Averaged sum = 0.5412524960342746594 logp*logq = 40.77505176725805862 -------------- ************************************* p = 373; q = 379; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1860434128590955.099 -------------- Searches starting with [373,379]-exponents: u = 1, v = 371 n_start has 960 digits --- performed 5000 steps in the continued fraction search [373,379]-exponents: u = 255, v = 104 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(373,379) = 0.8693743863103410730 D2(373,379) = 0.08674953663361736821 C1(373,379) = 1.130617806118137663 C2(373,379) = 1.138178698474093300 C3(373,379) = 7.470188739183222497 C4(373,379) = 3032 Sum = 5381.180358214832906 Averaged sum = 0.5381718530067839689 logp*logq = 35.15958625786993207 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(373,379) = 0.8693743863103410730 D2(373,379) = 0.08674953663361736821 C1(373,379) = 1.130617806118137663 C2(373,379) = 1.138178698474093300 C3(373,379) = 7.470188739183222497 C4(373,379) = 3032 Sum = 5381.180358214832906 Averaged sum = 0.5381718530067839689 logp*logq = 35.15958625786993207 -------------- ************************************* p = 373; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1979767149063494.936 -------------- Searches starting with [373,383]-exponents: u = 1, v = 223 n_start has 579 digits --- performed 5000 steps in the continued fraction search [373,383]-exponents: u = 124, v = 77 --- starting right neighbors generation We generated 5723 left neighbors We generated 4287 right neighbors We generated 10009 non-negative rho_i D1(373,383) = 0.7448955222179436391 D2(373,383) = 0.002833902176198340920 C1(373,383) = 0.9895131143312468687 C2(373,383) = 1.138048758133201394 C3(373,383) = 5.812152775524306773 C4(373,383) = 3064 Sum = 5089.714425304724162 Averaged sum = 0.5085137801283568950 logp*logq = 35.22175563121844916 -------------- ************************************* p = 373; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2170649323243449.488 -------------- Searches starting with [373,389]-exponents: u = 1, v = 140 n_start has 366 digits starting right neighbors generation We generated 2277 left neighbors We generated 7733 right neighbors We generated 10009 non-negative rho_i D1(373,389) = 1.113967879290285456 D2(373,389) = 0.006629765102991871268 C1(373,389) = 1.513761219865546647 C2(373,389) = 1.222692603586561074 C3(373,389) = 14.76678356784499532 C4(373,389) = 3112 Sum = 5314.781536497127245 Averaged sum = 0.5310002534216332546 logp*logq = 35.31380274500462200 -------------- ************************************* p = 373; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2448734962403787.491 -------------- Searches starting with [373,397]-exponents: u = 1, v = 94 n_start has 247 digits starting right neighbors generation We generated 1085 left neighbors We generated 8925 right neighbors We generated 10009 non-negative rho_i D1(373,397) = 0.9496286427544310309 D2(373,397) = 0.003111273979614592396 C1(373,397) = 1.319673240231628767 C2(373,397) = 1.299496070708486679 C3(373,397) = 10.45598806253945744 C4(373,397) = 3176 Sum = 5337.697768334070959 Averaged sum = 0.5332898159990079887 logp*logq = 35.43434794424094442 -------------- ************************************* p = 373; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2598504900097354.886 -------------- Searches starting with [373,401]-exponents: u = 1, v = 81 n_start has 214 digits starting right neighbors generation We generated 784 left neighbors We generated 9226 right neighbors We generated 10009 non-negative rho_i D1(373,401) = 0.6896589685344868820 D2(373,401) = 0.01879925546810519839 C1(373,401) = 0.9672497770059189251 C2(373,401) = 1.346396945276588512 C3(373,401) = 5.586502341694714001 C4(373,401) = 3208 Sum = 4803.430657244498383 Averaged sum = 0.4799111456933258450 logp*logq = 35.49371263611602291 -------------- ************************************* p = 373; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2920951720918363.574 -------------- Searches starting with [373,409]-exponents: u = 1, v = 64 n_start has 170 digits starting right neighbors generation We generated 557 left neighbors We generated 9453 right neighbors We generated 10009 non-negative rho_i D1(373,409) = 0.6187499419410296237 D2(373,409) = 0.008100670010771319680 C1(373,409) = 0.8823880429289534957 C2(373,409) = 1.394605104346836693 C3(373,409) = 4.803851798372981832 C4(373,409) = 3272 Sum = 3637.314534035744063 Averaged sum = 0.3634043894530666463 logp*logq = 35.61068588990799554 -------------- ************************************* p = 373; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3370124694770110.161 -------------- Searches starting with [373,419]-exponents: u = 1, v = 50 n_start has 134 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(373,419) = 0.8148337977171226766 D2(373,419) = 0.001692332272697267895 C1(373,419) = 1.181621060550808295 C2(373,419) = 1.449993270436150049 C3(373,419) = 8.179530954231625049 C4(373,419) = 3352 Sum = 4980.386844502296491 Averaged sum = 0.4975908526828151154 logp*logq = 35.75372614000588309 -------------- ************************************* p = 373; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3466508151323674.336 -------------- Searches starting with [373,421]-exponents: u = 1, v = 48 n_start has 129 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(373,421) = 0.8068310114336789045 D2(373,421) = 0.03700059113901098623 C1(373,421) = 1.173657097665153009 C2(373,421) = 1.491779658196965631 C3(373,421) = 8.064486826260701790 C4(373,421) = 3368 Sum = 4927.242324864525808 Averaged sum = 0.4922811794249701077 logp*logq = 35.78192418576474704 -------------- ************************************* p = 373; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3983490172064911.529 -------------- Searches starting with [373,431]-exponents: u = 1, v = 40 n_start has 108 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(373,431) = 0.9944135409748674776 D2(373,431) = 0.04700715848806715745 C1(373,431) = 1.467613990969300224 C2(373,431) = 1.551643030686867168 C3(373,431) = 13.60316795367063517 C4(373,431) = 3448 Sum = 5428.110335377526910 Averaged sum = 0.5423229428891524538 logp*logq = 35.92093475758511504 -------------- ************************************* p = 373; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4094207322573328.951 -------------- Searches starting with [373,433]-exponents: u = 1, v = 39 n_start has 106 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(373,433) = 0.6391463825617927386 D2(373,433) = 0.05678722142153163551 C1(373,433) = 0.8757799292952827517 C2(373,433) = 1.569722189372727541 C3(373,433) = 4.747721615720633978 C4(373,433) = 3464 Sum = 4293.164417209488885 Averaged sum = 0.4289304043570275637 logp*logq = 35.94834952145707115 -------------- ************************************* p = 373; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4441819207254168.085 -------------- Searches starting with [373,439]-exponents: u = 1, v = 36 n_start has 98 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(373,439) = 0.7782868921820324531 D2(373,439) = 0.06066896909779786737 C1(373,439) = 1.071656939822362767 C2(373,439) = 1.600380949179113705 C3(373,439) = 6.726482109130261708 C4(373,439) = 3512 Sum = 4407.407061075417240 Averaged sum = 0.4403443961510058188 logp*logq = 36.02984041880139637 -------------- ************************************* p = 373; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4686916267689551.664 -------------- Searches starting with [373,443]-exponents: u = 1, v = 34 n_start has 93 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(373,443) = 0.6136679997176220239 D2(373,443) = 0.04169157042786478426 C1(373,443) = 0.8697209523877096925 C2(373,443) = 1.601063111804440282 C3(373,443) = 4.696832420337764651 C4(373,443) = 3544 Sum = 4166.418320221744496 Averaged sum = 0.4162671915497796479 logp*logq = 36.08355124889320277 -------------- ************************************* p = 373; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5075568535814011.841 -------------- Searches starting with [373,449]-exponents: u = 1, v = 31 n_start has 85 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(373,449) = 0.8273190126968988794 D2(373,449) = 0.06282866870211631025 C1(373,449) = 1.248159546788851510 C2(373,449) = 1.644223903830974911 C3(373,449) = 9.207150055924954889 C4(373,449) = 3592 Sum = 4519.613948356994528 Averaged sum = 0.4515549953398935486 logp*logq = 36.16321494032538891 -------------- ************************************* p = 373; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5635109614594077.658 -------------- Searches starting with [373,457]-exponents: u = 1, v = 29 n_start has 80 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(373,457) = 0.6643094343875696445 D2(373,457) = 0.02119798715815535379 C1(373,457) = 1.011717808514059432 C2(373,457) = 1.639233397376568725 C3(373,457) = 6.046287021107857316 C4(373,457) = 3656 Sum = 3723.024738091234279 Averaged sum = 0.3719677028765345468 logp*logq = 36.26779299467003001 -------------- ************************************* p = 373; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5933540570212491.519 -------------- Searches starting with [373,461]-exponents: u = 1, v = 27 n_start has 75 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(373,461) = 0.9066331762034204239 D2(373,461) = 0.02760805086395294012 C1(373,461) = 1.385516114689795247 C2(373,461) = 1.659527772802274604 C3(373,461) = 11.75505277072995060 C4(373,461) = 3688 Sum = 4599.935000838555254 Averaged sum = 0.4595798781934813921 logp*logq = 36.31939749049456494 -------------- ************************************* p = 373; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6087610707196003.375 -------------- Searches starting with [373,463]-exponents: u = 1, v = 27 n_start has 75 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(373,463) = 0.8030296601499538343 D2(373,463) = 0.07707913685054748825 C1(373,463) = 1.091229990142329116 C2(373,463) = 1.709630168997876903 C3(373,463) = 6.964772726821171924 C4(373,463) = 3704 Sum = 4283.515890010943265 Averaged sum = 0.4279664192237929128 logp*logq = 36.34503206914105352 -------------- ************************************* p = 373; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6405738936091808.938 -------------- Searches starting with [373,467]-exponents: u = 1, v = 26 n_start has 72 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(373,467) = 0.7534485181974931143 D2(373,467) = 0.07291821809871124198 C1(373,467) = 1.057550424283700529 C2(373,467) = 1.720078993600465473 C3(373,467) = 6.559814976680642806 C4(373,467) = 3736 Sum = 4546.870957970715616 Averaged sum = 0.4542782453762329519 logp*logq = 36.39597069223753487 -------------- ************************************* p = 373; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7444181162668468.848 -------------- Searches starting with [373,479]-exponents: u = 1, v = 23 n_start has 65 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(373,479) = 0.8389279072020661718 D2(373,479) = 0.01004541662723217954 C1(373,479) = 1.185605870299056409 C2(373,479) = 1.706241832098420247 C3(373,479) = 8.237708438643227792 C4(373,479) = 3832 Sum = 4406.933484860659467 Averaged sum = 0.4402970811130641889 logp*logq = 36.54620907013131969 -------------- ************************************* p = 373; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8211329864374645.769 -------------- Searches starting with [373,487]-exponents: u = 1, v = 22 n_start has 62 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(373,487) = 0.7885004801571166862 D2(373,487) = 0.04627456689087799305 C1(373,487) = 1.083526297577466703 C2(373,487) = 1.762140448179361480 C3(373,487) = 6.869993533357315612 C4(373,487) = 3896 Sum = 4359.608131241222940 Averaged sum = 0.4355688012030395584 logp*logq = 36.64429128630192408 -------------- ************************************* p = 373; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8618865218000054.375 -------------- Searches starting with [373,491]-exponents: u = 1, v = 21 n_start has 60 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(373,491) = 0.6661517873024932029 D2(373,491) = 0.1323270768502481275 C1(373,491) = 0.9774080520201832744 C2(373,491) = 1.849419873142061748 C3(373,491) = 5.688354023483852582 C4(373,491) = 3928 Sum = 3884.279800318200398 Averaged sum = 0.3880787091935458485 logp*logq = 36.69272982567667816 -------------- ************************************* p = 373; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9484489607407376.496 -------------- Searches starting with [373,499]-exponents: u = 1, v = 20 n_start has 57 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(373,499) = 0.7432324446808517930 D2(373,499) = 0.004290108380112318310 C1(373,499) = 1.061088359817618490 C2(373,499) = 1.762214979876076847 C3(373,499) = 6.601223302188641007 C4(373,499) = 3992 Sum = 4482.141800044713406 Averaged sum = 0.4478111499694987917 logp*logq = 36.78843418634981287 -------------- ************************************* p = 373; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9943669462876195.857 -------------- Searches starting with [373,503]-exponents: u = 1, v = 19 n_start has 54 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(373,503) = 0.8032687574910269665 D2(373,503) = 0.07112476839198821274 C1(373,503) = 1.110886945808293394 C2(373,503) = 1.830263301716978200 C3(373,503) = 7.212581250608743473 C4(373,503) = 4024 Sum = 4270.084339433210985 Averaged sum = 0.4266244719185943636 logp*logq = 36.83571250871106739 -------------- ************************************* p = 373; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10666983122722711.69 -------------- Searches starting with [373,509]-exponents: u = 1, v = 19 n_start has 54 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(373,509) = 0.8773048535023845322 D2(373,509) = 0.02489179131013301029 C1(373,509) = 1.398193624494728625 C2(373,509) = 1.807418208127823447 C3(373,509) = 12.02311958931120752 C4(373,509) = 4072 Sum = 2507.511626858206931 Averaged sum = 0.2505256895652120023 logp*logq = 36.90592967635747719 -------------- ************************************* p = 373; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12245249318303325.32 -------------- Searches starting with [373,521]-exponents: u = 1, v = 17 n_start has 49 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(373,521) = 0.6430223972778811614 D2(373,521) = 0.05482526890569013611 C1(373,521) = 0.8776151075456361638 C2(373,521) = 1.864427773447520116 C3(373,521) = 4.763243752370676241 C4(373,521) = 4168 Sum = 4245.021955171622201 Averaged sum = 0.4241204870787913079 logp*logq = 37.04391444593263556 -------------- ************************************* p = 373; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12526245945356252.29 -------------- Searches starting with [373,523]-exponents: u = 1, v = 17 n_start has 49 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(373,523) = 0.8038675467666624094 D2(373,523) = 0.08655184384720940067 C1(373,523) = 1.199829150228591110 C2(373,523) = 1.896745540304772120 C3(373,523) = 8.448760735007287903 C4(373,523) = 4184 Sum = 3907.396985478241849 Averaged sum = 0.3903883490336938604 logp*logq = 37.06660251360928729 -------------- ************************************* p = 373; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15305303349324598.14 -------------- Searches starting with [373,541]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(373,541) = 0.7732405111550114133 D2(373,541) = 0.1230059061212589954 C1(373,541) = 1.258656805469849929 C2(373,541) = 1.279811614905559505 C3(373,541) = 9.380666522999101011 C4(373,541) = 4328 Sum = 3966.213721222388758 Averaged sum = 0.3962647338617632888 logp*logq = 37.26697578738766933 -------------- ************************************* p = 373; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16338292425711207.25 -------------- Searches starting with [373,547]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(373,547) = 0.6906909066349941268 D2(373,547) = 0.06328576005255028748 C1(373,547) = 1.042031472462432250 C2(373,547) = 1.934559169279513215 C3(373,547) = 6.381226644620533710 C4(373,547) = 4376 Sum = 3593.709096560935452 Averaged sum = 0.3590477666660940605 logp*logq = 37.33228797617130096 -------------- ************************************* p = 373; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18188499279640138.02 -------------- Searches starting with [373,557]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(373,557) = 0.6008815104311396651 D2(373,557) = 0.1374319755661633459 C1(373,557) = 0.8588381484576592547 C2(373,557) = 1.771503130273284423 C3(373,557) = 4.606793861167111589 C4(373,557) = 4456 Sum = 3761.029140180054766 Averaged sum = 0.3757647257648171411 logp*logq = 37.43956588154352796 -------------- ************************************* p = 373; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19379883142605330.10 -------------- Searches starting with [373,563]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(373,563) = 0.5466314956601123496 D2(373,563) = 0.06004736288826769550 C1(373,563) = 0.7704537769526663873 C2(373,563) = 1.967361915247612910 C3(373,563) = 3.936655199231395274 C4(373,563) = 4504 Sum = 4230.872440045999421 Averaged sum = 0.4227068078775101829 logp*logq = 37.50301197156179954 -------------- ************************************* p = 373; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20635421317512916.11 -------------- Searches starting with [373,569]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(373,569) = 1.040371578048046104 D2(373,569) = 0.07756157620062587426 C1(373,569) = 1.723697162063140863 C2(373,569) = 1.092888575920491327 C3(373,569) = 21.45103743667285459 C4(373,569) = 4552 Sum = 1278.285160779828270 Averaged sum = 0.1277135738615074703 logp*logq = 37.56578547552312112 -------------- ************************************* p = 373; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21068658773945315.72 -------------- Searches starting with [373,571]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(373,571) = 0.7142570699538495607 D2(373,571) = 0.1096167097734088771 C1(373,571) = 1.183369420318855076 C2(373,571) = 1.336993191162096032 C3(373,571) = 8.205005922909165103 C4(373,571) = 4568 Sum = 4189.813566545429988 Averaged sum = 0.4186046125032900378 logp*logq = 37.58656296497904434 -------------- ************************************* p = 373; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22413986603451283.88 -------------- Searches starting with [373,577]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(373,577) = 0.7988921871712318956 D2(373,577) = 0.003118056314574644626 C1(373,577) = 1.106118882823229031 C2(373,577) = 1.949616504083741054 C3(373,577) = 7.151673646213308551 C4(373,577) = 4616 Sum = 4374.520470217479111 Averaged sum = 0.4370586941969706375 logp*logq = 37.64846156085368651 -------------- ************************************* p = 373; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24814620180488575.22 -------------- Searches starting with [373,587]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(373,587) = 0.8762764637094685250 D2(373,587) = 0.07667372301488774943 C1(373,587) = 1.160866749813912041 C2(373,587) = 1.243399076700153318 C3(373,587) = 7.883099217638621585 C4(373,587) = 4696 Sum = 3914.574284136597449 Averaged sum = 0.3911054335234886051 logp*logq = 37.75020939778775928 -------------- ************************************* p = 373; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26354866989750998.43 -------------- Searches starting with [373,593]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(373,593) = 0.5793029233933593790 D2(373,593) = 0.1057612507306032057 C1(373,593) = 0.7930559844166323832 C2(373,593) = 1.801431301400384116 C3(373,593) = 4.098134144516321431 C4(373,593) = 4744 Sum = 3995.099786650994472 Averaged sum = 0.3991507429964026848 logp*logq = 37.81042935833549366 -------------- ************************************* p = 373; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27973752853863994.33 -------------- Searches starting with [373,599]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(373,599) = 1.346492598141718770 D2(373,599) = 0.1003559245092712986 C1(373,599) = 2.073130723744577183 C2(373,599) = 1.797786993268011018 C3(373,599) = 39.93593735217910803 C4(373,599) = 4792 Sum = 4710.077990449793438 Averaged sum = 0.4705842731991001536 logp*logq = 37.87004306737726474 -------------- ************************************* p = 373; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28531401435146618.32 -------------- Searches starting with [373,601]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(373,601) = 0.5969281432669197126 D2(373,601) = 0.008899715813580866405 C1(373,601) = 0.8058660928967472782 C2(373,601) = 2.001868426699902306 C3(373,601) = 4.192578260333418209 C4(373,601) = 4808 Sum = 3919.756738522247285 Averaged sum = 0.3916232129605602243 logp*logq = 37.88978168038591786 -------------- ************************************* p = 373; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30260081324860898.74 -------------- Searches starting with [373,607]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(373,607) = 0.6528279587583920030 D2(373,607) = 0.06459266121034176756 C1(373,607) = 0.9185644614329214269 C2(373,607) = 2.059169201945659413 C3(373,607) = 5.123109310718409056 C4(373,607) = 4856 Sum = 3804.161414504373426 Averaged sum = 0.3800740747831325233 logp*logq = 37.94860579080399549 -------------- ************************************* p = 373; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32074935485245265.24 -------------- Searches starting with [373,613]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(373,613) = 0.7372747484913773495 D2(373,613) = 0.07925680668103279511 C1(373,613) = 1.248520361942656958 C2(373,613) = 1.312598525731186009 C3(373,613) = 9.213060612534475888 C4(373,613) = 4904 Sum = 4098.082540612085907 Averaged sum = 0.4094397582787577088 logp*logq = 38.00685129403843008 -------------- ************************************* p = 373; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33334382308688332.14 -------------- Searches starting with [373,617]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(373,617) = 0.6018889777446625139 D2(373,617) = 0.08648105742912981979 C1(373,617) = 0.8741671014080980666 C2(373,617) = 1.819384225654989367 C3(373,617) = 4.734121908945738977 C4(373,617) = 4936 Sum = 3718.248464243567116 Averaged sum = 0.3714905049698838161 logp*logq = 38.04536576099617011 -------------- ************************************* p = 373; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33979352713440457.69 -------------- Searches starting with [373,619]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(373,619) = 0.6469889565449108190 D2(373,619) = 0.08481350598259274954 C1(373,619) = 0.8723608352180910229 C2(373,619) = 1.818291643292747403 C3(373,619) = 4.718937328634818601 C4(373,619) = 4952 Sum = 3767.308425521281712 Averaged sum = 0.3763920896714238897 logp*logq = 38.06452946192772855 -------------- ************************************* p = 373; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38070924928053420.27 -------------- Searches starting with [373,631]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(373,631) = 0.6244383882903682870 D2(373,631) = 0.01405175313070222729 C1(373,631) = 0.9098205589391587455 C2(373,631) = 2.060677049720892749 C3(373,631) = 5.044051410385448695 C4(373,631) = 5048 Sum = 4011.339486126206172 Averaged sum = 0.4007732526852039337 logp*logq = 38.17822726046710405 -------------- ************************************* p = 373; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41785916742020506.89 -------------- Searches starting with [373,641]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(373,641) = 0.7864301466694432678 D2(373,641) = 0.05910184144204845652 C1(373,641) = 1.349327367937075575 C2(373,641) = 1.276005239501536439 C3(373,641) = 11.02226983079054048 C4(373,641) = 5128 Sum = 4185.898320109009020 Averaged sum = 0.4182134399149774223 logp*logq = 38.27133575762372871 -------------- ************************************* p = 373; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42563907927741581.43 -------------- Searches starting with [373,643]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(373,643) = 0.8480837370272925865 D2(373,643) = 0.06711612854083526229 C1(373,643) = 1.179318934489426891 C2(373,643) = 1.841942678920075455 C3(373,643) = 8.146107778635504234 C4(373,643) = 5144 Sum = 4659.234883832646025 Averaged sum = 0.4655045343023924493 logp*logq = 38.28978305733919766 -------------- ************************************* p = 373; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44156041017028964.68 -------------- Searches starting with [373,647]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(373,647) = 1.015091161048412823 D2(373,647) = 0.06405580034286800122 C1(373,647) = 1.484021176679099665 C2(373,647) = 1.840003467333143108 C3(373,647) = 14.00598269568386617 C4(373,647) = 5176 Sum = 3935.523803857336285 Averaged sum = 0.3931985017341728729 logp*logq = 38.32650614197814830 -------------- ************************************* p = 373; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46636843372979667.43 -------------- Searches starting with [373,653]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(373,653) = 0.7275583148673118519 D2(373,653) = 0.05954903906770326649 C1(373,653) = 1.022030779070115481 C2(373,653) = 1.837165201242297147 C3(373,653) = 6.158215529987584650 C4(373,653) = 5224 Sum = 4411.068278547941369 Averaged sum = 0.4407101886849776570 logp*logq = 38.38116725398022735 -------------- ************************************* p = 373; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49232403521595271.89 -------------- Searches starting with [373,659]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(373,659) = 0.7537825009867145742 D2(373,659) = 0.05068338390071222259 C1(373,659) = 1.085386501837473945 C2(373,659) = 1.686176109125174201 C3(373,659) = 6.892760996205514601 C4(373,659) = 5272 Sum = 4035.807552585868793 Averaged sum = 0.4032178591853200912 logp*logq = 38.43532840978427734 -------------- ************************************* p = 373; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50123813054428862.54 -------------- Searches starting with [373,661]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(373,661) = 0.6762312202528479914 D2(373,661) = 0.04935215243751060589 C1(373,661) = 1.017317488332958622 C2(373,661) = 1.685378045115503633 C3(373,661) = 6.106806541984266300 C4(373,661) = 5288 Sum = 3633.271994619306340 Averaged sum = 0.3630004990128190968 logp*logq = 38.45327260054490732 -------------- ************************************* p = 373; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55758743009667189.58 -------------- Searches starting with [373,673]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(373,673) = 0.9354444394306168491 D2(373,673) = 0.02875441645157531129 C1(373,673) = 1.629384861775464599 C2(373,673) = 1.163002187342907142 C3(373,673) = 18.13835697177068056 C4(373,673) = 5384 Sum = 3691.319959054056806 Averaged sum = 0.3688000758371522436 logp*logq = 38.55981061824062395 -------------- ************************************* p = 373; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57750104625606732.73 -------------- Searches starting with [373,677]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(373,677) = 0.7699073765255328313 D2(373,677) = 0.04247377022487615054 C1(373,677) = 1.340974684856315942 C2(373,677) = 1.282804484249361523 C3(373,677) = 10.85973213336574912 C4(373,677) = 5416 Sum = 4150.514315994424470 Averaged sum = 0.4146782212003621211 logp*logq = 38.59490155600976494 -------------- ************************************* p = 373; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60847742628965526.36 -------------- Searches starting with [373,683]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(373,683) = 0.5885108947088767069 D2(373,683) = 0.03925129439090986790 C1(373,683) = 0.8509153699290816491 C2(373,683) = 1.865105159347644075 C3(373,683) = 4.542332571086471349 C4(373,683) = 5464 Sum = 4067.631984987950578 Averaged sum = 0.4063974408020731919 logp*logq = 38.64715111635068487 -------------- ************************************* p = 373; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65191643277382894.98 -------------- Searches starting with [373,691]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(373,691) = 0.7550356489032112848 D2(373,691) = 0.03383959725046446403 C1(373,691) = 1.093278448110497583 C2(373,691) = 1.861839968931157778 C3(373,691) = 6.990194417453542277 C4(373,691) = 5528 Sum = 4249.129079364587749 Averaged sum = 0.4245308301892884153 logp*logq = 38.71610768503645336 -------------- ************************************* p = 373; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70981047408545432.82 -------------- Searches starting with [373,701]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(373,701) = 0.7391917430064845164 D2(373,701) = 0.02500873854354197969 C1(373,701) = 1.007215682141640021 C2(373,701) = 1.704116452922546506 C3(373,701) = 5.998064731672968270 C4(373,701) = 5608 Sum = 4012.064218922150707 Averaged sum = 0.4008456607974973231 logp*logq = 38.80118929840992500 -------------- ************************************* p = 373; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75914586061503597.43 -------------- Searches starting with [373,709]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(373,709) = 0.6675967556666461722 D2(373,709) = 0.01843197290273832134 C1(373,709) = 0.9301896650328868616 C2(373,709) = 1.543436245424766824 C3(373,709) = 5.230140617467996532 C4(373,709) = 5672 Sum = 4287.134995823809558 Averaged sum = 0.4283280043784403595 logp*logq = 38.86838523557244031 -------------- ************************************* p = 373; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 82479144577181152.33 -------------- Searches starting with [373,719]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(373,719) = 1.026737970284465726 D2(373,719) = 0.009556293230448429292 C1(373,719) = 1.819916321693536412 C2(373,719) = 1.110595904839155180 C3(373,719) = 25.45491120948195911 C4(373,719) = 5752 Sum = 3374.658678901783363 Averaged sum = 0.3371624217106387614 logp*logq = 38.95132186328991847 -------------- ************************************* p = 373; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88064406874296201.32 -------------- Searches starting with [373,727]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(373,727) = 0.7639188470006242931 D2(373,727) = 0.01136722522075533449 C1(373,727) = 1.074875386170899655 C2(373,727) = 1.896073656774454210 C3(373,727) = 6.765097186770320284 C4(373,727) = 5816 Sum = 4601.881882602714767 Averaged sum = 0.4597743913080941919 logp*logq = 39.01684483798222989 -------------- ************************************* p = 373; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92456588849897530.71 -------------- Searches starting with [373,733]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(373,733) = 0.7133094806772695401 D2(373,733) = 0.007711993565934661232 C1(373,733) = 0.9614900920628503548 C2(373,733) = 1.893968202731922327 C3(373,733) = 5.529565267853823048 C4(373,733) = 5864 Sum = 3920.374397329625135 Averaged sum = 0.3916849233019907218 logp*logq = 39.06551561953794799 -------------- ************************************* p = 373; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97029322738507895.61 -------------- Searches starting with [373,739]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(373,739) = 0.8587832249131724991 D2(373,739) = 0.004118074387920938503 C1(373,739) = 1.312391856345993705 C2(373,739) = 1.891911177524041400 C3(373,739) = 10.32144885508721343 C4(373,739) = 5912 Sum = 3833.140270100985154 Averaged sum = 0.3829693545909666455 logp*logq = 39.11378962400503310 -------------- ************************************* p = 373; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100181009256998606.2 -------------- Searches starting with [373,743]-exponents: u = 10, v = 8 n_start has 49 digits **************************************************** Computing .... elapsed time = 39 minutes **************************************************** starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(373,743) = 0.6567856943122498758 D2(373,743) = 0.001755199821753361246 C1(373,743) = 0.9585424432185091966 C2(373,743) = 1.890565845589635213 C3(373,743) = 5.500651291398715321 C4(373,743) = 5944 Sum = 3628.174278201216732 Averaged sum = 0.3624911857529440236 logp*logq = 39.14575503722541047 -------------- ************************************* p = 373; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106740047966576805.7 -------------- Searches starting with [373,751]-exponents: u = 19, v = 8 n_start has 72 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(373,751) = 1.160664216399519273 D2(373,751) = 0.1467141991352794810 C1(373,751) = 1.589650462412067830 C2(373,751) = 1.470370800265673097 C3(373,751) = 16.90073550989126933 C4(373,751) = 6008 Sum = 4697.871066692282501 Averaged sum = 0.4693646784586154961 logp*logq = 39.20917281519409345 -------------- ************************************* p = 373; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111890194331235034.5 -------------- Searches starting with [373,757]-exponents: u = 19, v = 8 n_start has 72 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(373,757) = 0.5995580399875398019 D2(373,757) = 0.1131660919772099521 C1(373,757) = 0.8296434961065176118 C2(373,757) = 1.844401690337417997 C3(373,757) = 4.373687360384676415 C4(373,757) = 6056 Sum = 4186.709477687831443 Averaged sum = 0.4182944827343222543 logp*logq = 39.25629437753491133 -------------- ************************************* p = 373; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115437045326359801.7 -------------- Searches starting with [373,761]-exponents: u = 28, v = 8 n_start has 96 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(373,761) = 0.5417208448795811845 D2(373,761) = 0.08809305127820100619 C1(373,761) = 0.7542961631195077736 C2(373,761) = 1.820293280444678956 C3(373,761) = 3.825133801689749154 C4(373,761) = 6088 Sum = 4113.176176241497582 Averaged sum = 0.4109477646359773786 logp*logq = 39.28750171416274291 -------------- ************************************* p = 373; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122811527896284720.4 -------------- Searches starting with [373,769]-exponents: u = 46, v = 8 n_start has 142 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(373,769) = 0.6008358978757161946 D2(373,769) = 0.04334880536585639731 C1(373,769) = 0.8323914489074123663 C2(373,769) = 1.777462963249266182 C3(373,769) = 4.395116156737469464 C4(373,769) = 6152 Sum = 4074.500668315045214 Averaged sum = 0.4070836915091462897 logp*logq = 39.34942728159462130 -------------- ************************************* p = 373; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126643050571612110.9 -------------- Searches starting with [373,773]-exponents: u = 64, v = 8 n_start has 188 digits starting right neighbors generation We generated 2297 left neighbors We generated 7713 right neighbors We generated 10009 non-negative rho_i D1(373,773) = 0.8149586814333889128 D2(373,773) = 0.02309803847128083437 C1(373,773) = 1.152799778683795866 C2(373,773) = 1.758161601229199791 C3(373,773) = 7.770800541883954888 C4(373,773) = 6184 Sum = 4710.639873605897052 Averaged sum = 0.4706404109906980769 logp*logq = 39.38014889872468333 -------------- ************************************* p = 373; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140845014541169150.3 -------------- Searches starting with [373,787]-exponents: u = 9, v = 111 n_start has 345 digits --- performed 5000 steps in the continued fraction search [373,787]-exponents: u = 69, v = 6 --- starting right neighbors generation We generated 7824 left neighbors We generated 2186 right neighbors We generated 10009 non-negative rho_i D1(373,787) = 0.5933090910761532802 D2(373,787) = 0.01937639785057443377 C1(373,787) = 0.9258685079977004772 C2(373,787) = 1.679831042233720973 C3(373,787) = 5.190097802376650784 C4(373,787) = 6296 Sum = 4406.198536034146847 Averaged sum = 0.4402236523163299877 logp*logq = 39.48643649308777483 -------------- ************************************* p = 373; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 151779452350532179.5 -------------- Searches starting with [373,797]-exponents: u = 9, v = 31 n_start has 114 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(373,797) = 0.9976034164723246425 D2(373,797) = 0.03287787407972080038 C1(373,797) = 1.466485961799888944 C2(373,797) = 1.622369532834979333 C3(373,797) = 13.57590305882995393 C4(373,797) = 6376 Sum = 5028.097480948515833 Averaged sum = 0.5023576262312434642 logp*logq = 39.56120489070055248 -------------- ************************************* p = 373; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 165823169170390438.4 -------------- Searches starting with [373,809]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(373,809) = 0.6235969373984530361 D2(373,809) = 0.08638906365786609168 C1(373,809) = 0.9640200631673175289 C2(373,809) = 1.859320092479488625 C3(373,809) = 5.554503350973257546 C4(373,809) = 6472 Sum = 3953.276758435841281 Averaged sum = 0.3949722008628076013 logp*logq = 39.64969836952799476 -------------- ************************************* p = 373; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168265512490827333.0 -------------- Searches starting with [373,811]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(373,811) = 0.8666959952751348933 D2(373,811) = 0.09535162748733962842 C1(373,811) = 1.230765280920884978 C2(373,811) = 1.868693759731696927 C3(373,811) = 8.926665028464697454 C4(373,811) = 6488 Sum = 4655.152637843921627 Averaged sum = 0.4650966767752943978 logp*logq = 39.66431955823940236 -------------- ************************************* p = 373; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180930401377895291.5 -------------- Searches starting with [373,821]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(373,821) = 1.020775075893751987 D2(373,821) = 0.09380778052894677099 C1(373,821) = 1.661606047736064021 C2(373,821) = 1.207570200078952476 C3(373,821) = 19.20820564268134950 C4(373,821) = 6568 Sum = 3039.687038031826237 Averaged sum = 0.3036953779630159094 logp*logq = 39.73688882945461293 -------------- ************************************* p = 373; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 183556069197598457.1 -------------- Searches starting with [373,823]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(373,823) = 0.7882627772435747967 D2(373,823) = 0.1052162449179324660 C1(373,823) = 1.042926199679025941 C2(373,823) = 1.313758939081788543 C3(373,823) = 6.391389586790185824 C4(373,823) = 6584 Sum = 3822.843208958155525 Averaged sum = 0.3819405743788745654 logp*logq = 39.75129656994347532 -------------- ************************************* p = 373; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 188902482165338733.8 -------------- Searches starting with [373,827]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(373,827) = 0.7734082529502815360 D2(373,827) = 0.1161865081708833390 C1(373,827) = 1.053838265676245118 C2(373,827) = 1.909471271965465404 C3(373,827) = 6.516646748132787404 C4(373,827) = 6616 Sum = 4008.994202101759882 Averaged sum = 0.4005389351685243163 logp*logq = 39.78000730943419425 -------------- ************************************* p = 373; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 191623833735840729.4 -------------- Searches starting with [373,829]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(373,829) = 0.6089230369685302352 D2(373,829) = 0.1054610511361000469 C1(373,829) = 0.8435934772505349051 C2(373,829) = 1.899198960873100315 C3(373,829) = 4.483562457006375037 C4(373,829) = 6632 Sum = 4069.986872003079603 Averaged sum = 0.4066327177543290641 logp*logq = 39.79431064590457693 -------------- ************************************* p = 373; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 205724365444024841.3 -------------- Searches starting with [373,839]-exponents: u = 25, v = 7 n_start has 85 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(373,839) = 0.5428076456397840918 D2(373,839) = 0.05680226819898502394 C1(373,839) = 0.7490042003525579710 C2(373,839) = 1.852789402239977123 C3(373,839) = 3.789299397421197862 C4(373,839) = 6712 Sum = 4116.836272156597969 Averaged sum = 0.4113134451150562463 logp*logq = 39.86531363591125371 -------------- ************************************* p = 373; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226905243514334193.8 -------------- Searches starting with [373,853]-exponents: u = 49, v = 7 n_start has 147 digits starting right neighbors generation We generated 1226 left neighbors We generated 8784 right neighbors We generated 10009 non-negative rho_i D1(373,853) = 0.6316404822334433580 D2(373,853) = 0.05303713424465361484 C1(373,853) = 0.8543940467909181906 C2(373,853) = 1.748370150075369615 C3(373,853) = 4.570523946804433703 C4(373,853) = 6824 Sum = 3774.530280843075490 Averaged sum = 0.3771136258210685873 logp*logq = 39.96330889579188893 -------------- ************************************* p = 373; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 233279158663639222.5 -------------- Searches starting with [373,857]-exponents: u = 65, v = 7 n_start has 188 digits starting right neighbors generation We generated 2152 left neighbors We generated 7858 right neighbors We generated 10009 non-negative rho_i D1(373,857) = 0.6607486273638118200 D2(373,857) = 0.02312963885274325495 C1(373,857) = 0.8992614065433936152 C2(373,857) = 1.719311004770196765 C3(373,857) = 4.950205396201622288 C4(373,857) = 6856 Sum = 3939.276961871361691 Averaged sum = 0.3935734800550865912 logp*logq = 39.99101223717285984 -------------- ************************************* p = 373; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 236521487871350278.4 -------------- Searches starting with [373,859]-exponents: u = 81, v = 7 n_start has 229 digits starting right neighbors generation We generated 3302 left neighbors We generated 6708 right neighbors We generated 10009 non-negative rho_i D1(373,859) = 0.7190530169415268349 D2(373,859) = 0.009112847751702144335 C1(373,859) = 1.010081502108881208 C2(373,859) = 1.705716889183928947 C3(373,859) = 6.028715854330122940 C4(373,859) = 6872 Sum = 3947.461678969061318 Averaged sum = 0.3943912158026837165 logp*logq = 40.00481545652233029 -------------- ************************************* p = 373; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 243118589675525869.1 -------------- Searches starting with [373,863]-exponents: u = 129, v = 7 n_start has 353 digits --- performed 5000 steps in the continued fraction search [373,863]-exponents: u = 43, v = 33 --- starting right neighbors generation We generated 7900 left neighbors We generated 2110 right neighbors We generated 10009 non-negative rho_i D1(373,863) = 0.7517577103644448012 D2(373,863) = 0.001283692911861344233 C1(373,863) = 1.023523137675779180 C2(373,863) = 1.626762326834442260 C3(373,863) = 6.174583077606353581 C4(373,863) = 6904 Sum = 4489.597234417649696 Averaged sum = 0.4485560230210460281 logp*logq = 40.03232574256263869 -------------- ************************************* p = 373; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267425539796211124.2 -------------- Searches starting with [373,877]-exponents: u = 8, v = 90 n_start has 286 digits starting right neighbors generation We generated 5097 left neighbors We generated 4913 right neighbors We generated 10009 non-negative rho_i D1(373,877) = 0.5606630584855711662 D2(373,877) = 0.01016471975126450776 C1(373,877) = 0.7724032908777125000 C2(373,877) = 1.655382294534786822 C3(373,877) = 3.950328894772856363 C4(373,877) = 7016 Sum = 4349.826622773667944 Averaged sum = 0.4345915299004563837 logp*logq = 40.12761756659653723 -------------- ************************************* p = 373; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 274729809889254943.3 -------------- Searches starting with [373,881]-exponents: u = 8, v = 62 n_start has 204 digits starting right neighbors generation We generated 2590 left neighbors We generated 7420 right neighbors We generated 10009 non-negative rho_i D1(373,881) = 0.8331820198543360526 D2(373,881) = 0.009146855688631243140 C1(373,881) = 1.180828450110260601 C2(373,881) = 1.733815009493189100 C3(373,881) = 8.168008071719873683 C4(373,881) = 7048 Sum = 3860.325846973288428 Averaged sum = 0.3856854677763301457 logp*logq = 40.15456450010480553 -------------- ************************************* p = 373; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278443655972196042.0 -------------- Searches starting with [373,883]-exponents: u = 8, v = 48 n_start has 162 digits starting right neighbors generation We generated 1582 left neighbors We generated 8428 right neighbors We generated 10009 non-negative rho_i D1(373,883) = 0.6317954403121419339 D2(373,883) = 0.02108493063272284859 C1(373,883) = 0.9030184064792275203 C2(373,883) = 1.746109520953865295 C3(373,883) = 4.983394480374863618 C4(373,883) = 7064 Sum = 4278.374058448269032 Averaged sum = 0.4274526984162522762 logp*logq = 40.16799212132246557 -------------- ************************************* p = 373; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 285996613036862792.8 -------------- Searches starting with [373,887]-exponents: u = 8, v = 41 n_start has 142 digits starting right neighbors generation We generated 1162 left neighbors We generated 8848 right neighbors We generated 10009 non-negative rho_i D1(373,887) = 0.7768107422175431482 D2(373,887) = 0.04610703445961406123 C1(373,887) = 1.135668183668787831 C2(373,887) = 1.771842041592474145 C3(373,887) = 7.537592861953643386 C4(373,887) = 7096 Sum = 3355.589497886814374 Averaged sum = 0.3352572182922184408 logp*logq = 40.19475636313196278 -------------- ************************************* p = 373; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 326364929976164982.9 -------------- Searches starting with [373,907]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(373,907) = 1.022715996280912565 D2(373,907) = 0.04523333674965311418 C1(373,907) = 1.602849669964566088 C2(373,907) = 1.892002141921992386 C3(373,907) = 17.30219363079604271 C4(373,907) = 7256 Sum = 3863.121727555717620 Averaged sum = 0.3859648044315833370 logp*logq = 40.32679256730205253 -------------- ************************************* p = 373; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334980983734062556.6 -------------- Searches starting with [373,911]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(373,911) = 0.8354134015579618481 D2(373,911) = 0.05774089130102200528 C1(373,911) = 1.133976453380553323 C2(373,911) = 1.905259359243396950 C3(373,911) = 7.514946960336894126 C4(373,911) = 7288 Sum = 3928.140774803435892 Averaged sum = 0.3924608627039100701 logp*logq = 40.35285016015161205 -------------- ************************************* p = 373; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 352780996641085802.9 -------------- Searches starting with [373,919]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(373,919) = 0.6226569119244808440 D2(373,919) = 0.08394813179176062240 C1(373,919) = 0.9015934484511082525 C2(373,919) = 1.932955913864404248 C3(373,919) = 4.970780384141890076 C4(373,919) = 7352 Sum = 3483.863354028530083 Averaged sum = 0.3480730696401768492 logp*logq = 40.40462385319656753 -------------- ************************************* p = 373; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 376129850312975686.2 -------------- Searches starting with [373,929]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(373,929) = 0.8726682081632303446 D2(373,929) = 0.07530821213876920020 C1(373,929) = 1.445822400738072057 C2(373,929) = 1.242600683477076176 C3(373,929) = 13.08601515809796378 C4(373,929) = 7432 Sum = 3456.284756788873723 Averaged sum = 0.3453176897581050778 logp*logq = 40.46871082525923924 -------------- ************************************* p = 373; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 395720938330336782.9 -------------- Searches starting with [373,937]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(373,937) = 1.155672340089655633 D2(373,937) = 0.07716975623858806621 C1(373,937) = 1.675884386955110397 C2(373,937) = 1.950321911596302789 C3(373,937) = 19.70225433555640318 C4(373,937) = 7496 Sum = 4338.761884888749944 Averaged sum = 0.4334860510429363517 logp*logq = 40.51948565656055269 -------------- ************************************* p = 373; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 405829995245226527.9 -------------- Searches starting with [373,941]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(373,941) = 1.034678544030822790 D2(373,941) = 0.06218298199664284389 C1(373,941) = 1.544322475738753062 C2(373,941) = 1.936157926444920374 C3(373,941) = 15.59166766403800353 C4(373,941) = 7528 Sum = 4519.679713703465608 Averaged sum = 0.4515615659609816773 logp*logq = 40.54471073589705706 -------------- ************************************* p = 373; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 421395414052829732.8 -------------- Searches starting with [373,947]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(373,947) = 0.6004198754184813315 D2(373,947) = 0.04090112769973758258 C1(373,947) = 0.8308343435320778127 C2(373,947) = 1.916103628476324761 C3(373,947) = 4.382960843730562942 C4(373,947) = 7576 Sum = 3946.824299385648568 Averaged sum = 0.3943275351569236255 logp*logq = 40.58234801357521135 -------------- ************************************* p = 373; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 437453837364475884.6 -------------- Searches starting with [373,953]-exponents: u = 22, v = 6 n_start has 75 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(373,953) = 0.8612824635812967778 D2(373,953) = 0.02086742833821440391 C1(373,953) = 1.182959345820352940 C2(373,953) = 1.897289622627980205 C3(373,953) = 8.199023703709123236 C4(373,953) = 7624 Sum = 4146.807313122897849 Averaged sum = 0.4143078542434706613 logp*logq = 40.61974758054581415 -------------- ************************************* p = 373; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 476910607713750875.7 -------------- Searches starting with [373,967]-exponents: u = 29, v = 6 n_start has 93 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(373,967) = 0.5804663558821075230 D2(373,967) = 0.06550009878713149699 C1(373,967) = 0.8041719458357248055 C2(373,967) = 1.832491153290424614 C3(373,967) = 4.179964134251063619 C4(373,967) = 7736 Sum = 4173.203163621262218 Averaged sum = 0.4169450658029036086 logp*logq = 40.70610546302421313 -------------- ************************************* p = 373; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 488711914021766569.2 -------------- Searches starting with [373,971]-exponents: u = 36, v = 6 n_start has 111 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(373,971) = 0.5504696003082003714 D2(373,971) = 0.04103768526055897872 C1(373,971) = 0.7568108330999088353 C2(373,971) = 1.808798028522063553 C3(373,971) = 3.842280410233403061 C4(373,971) = 7768 Sum = 3981.380993926367151 Averaged sum = 0.3977800973050621592 logp*logq = 40.73054957789877088 -------------- ************************************* p = 373; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 506868293724219536.3 -------------- Searches starting with [373,977]-exponents: u = 43, v = 6 n_start has 129 digits starting right neighbors generation We generated 932 left neighbors We generated 9078 right neighbors We generated 10009 non-negative rho_i D1(373,977) = 0.7549082308084032705 D2(373,977) = 0.007369048867294772986 C1(373,977) = 1.025455099184051300 C2(373,977) = 1.776277341142368316 C3(373,977) = 6.195836629073878442 C4(373,977) = 7816 Sum = 4026.516815398385356 Averaged sum = 0.4022896208810455946 logp*logq = 40.76702758906244404 -------------- ************************************* p = 373; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 525581815596962157.6 -------------- Searches starting with [373,983]-exponents: u = 64, v = 6 n_start has 183 digits starting right neighbors generation We generated 1895 left neighbors We generated 8115 right neighbors We generated 10009 non-negative rho_i D1(373,983) = 1.010048082397333256 D2(373,983) = 0.01789688410427618457 C1(373,983) = 1.442008912305384142 C2(373,983) = 1.710486138490283457 C3(373,983) = 12.99755720735997315 C4(373,983) = 7864 Sum = 3807.784701034051826 Averaged sum = 0.3804360776335350011 logp*logq = 40.80328226406432080 -------------- ************************************* p = 373; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 551423278543308115.8 -------------- Searches starting with [373,991]-exponents: u = 113, v = 6 n_start has 309 digits --- performed 5000 steps in the continued fraction search [373,991]-exponents: u = 27, v = 12 --- starting right neighbors generation We generated 5535 left neighbors We generated 4475 right neighbors We generated 10009 non-negative rho_i D1(373,991) = 0.5809123843014637877 D2(373,991) = 0.003495624621819878664 C1(373,991) = 0.7967287684001022148 C2(373,991) = 1.593632528704433717 C3(373,991) = 4.124992527111025471 C4(373,991) = 7928 Sum = 4392.067756164183142 Averaged sum = 0.4388118449559579520 logp*logq = 40.85127910977159114 -------------- ************************************* p = 373; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 571489869840511306.8 -------------- Searches starting with [373,997]-exponents: u = 302, v = 6 n_start has 795 digits --- performed 5000 steps in the continued fraction search [373,997]-exponents: u = 197, v = 79 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(373,997) = 0.5713172825640286020 D2(373,997) = 0.2475897912025967896 C1(373,997) = 0.7492631089459339261 C2(373,997) = 1.464336728781837425 C3(373,997) = 3.791044754995700951 C4(373,997) = 7976 Sum = 5043.915385615151494 Averaged sum = 0.5044419827597911285 logp*logq = 40.88702315242504117 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(373,997) = 0.5713172825640286020 D2(373,997) = 0.2475897912025967896 C1(373,997) = 0.7492631089459339261 C2(373,997) = 1.464336728781837425 C3(373,997) = 3.791044754995700951 C4(373,997) = 7976 Sum = 5043.915385615151494 Averaged sum = 0.5044419827597911285 logp*logq = 40.88702315242504117 -------------- ************************************* p = 379; q = 383; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2176888802102450.198 -------------- Searches starting with [379,383]-exponents: u = 1, v = 565 n_start has 1463 digits --- performed 5000 steps in the continued fraction search [379,383]-exponents: u = 508, v = 50 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(379,383) = 0.6355219323186989475 D2(379,383) = 0.2054458787153722205 C1(379,383) = 0.8141186155581960988 C2(379,383) = 1.197575211612387390 C3(379,383) = 4.263902507829003180 C4(379,383) = 3064 Sum = 5610.267673635317032 Averaged sum = 0.5610828756510968129 logp*logq = 35.31667309735714365 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(379,383) = 0.6355219323186989475 D2(379,383) = 0.2054458787153722205 C1(379,383) = 0.8141186155581960988 C2(379,383) = 1.197575211612387390 C3(379,383) = 4.263902507829003180 C4(379,383) = 3064 Sum = 5610.267673635317032 Averaged sum = 0.5610828756510968129 logp*logq = 35.31667309735714365 -------------- ************************************* p = 379; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2387368873345531.014 -------------- Searches starting with [379,389]-exponents: u = 1, v = 227 n_start has 591 digits --- performed 5000 steps in the continued fraction search [379,389]-exponents: u = 32, v = 173 --- starting right neighbors generation We generated 5831 left neighbors We generated 4179 right neighbors We generated 10009 non-negative rho_i D1(379,389) = 1.124549566489634448 D2(379,389) = 0.004640701725422932950 C1(379,389) = 1.493201789492636615 C2(379,389) = 1.138428486628153881 C3(379,389) = 14.29388448150042725 C4(379,389) = 3112 Sum = 5152.975611928762100 Averaged sum = 0.5148342104035130482 logp*logq = 35.40896826461621664 -------------- ************************************* p = 379; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2694093867566311.333 -------------- Searches starting with [379,397]-exponents: u = 1, v = 127 n_start has 333 digits starting right neighbors generation We generated 1829 left neighbors We generated 8181 right neighbors We generated 10009 non-negative rho_i D1(379,397) = 0.9624928549788822709 D2(379,397) = 0.01418809426578333124 C1(379,397) = 1.315280753355854956 C2(379,397) = 1.249902343950126871 C3(379,397) = 10.41140734884408402 C4(379,397) = 3176 Sum = 5196.174818758534065 Averaged sum = 0.5191502466538649281 logp*logq = 35.52983831548646937 -------------- ************************************* p = 379; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2859327883915339.218 -------------- Searches starting with [379,401]-exponents: u = 1, v = 105 n_start has 276 digits starting right neighbors generation We generated 1406 left neighbors We generated 8604 right neighbors We generated 10009 non-negative rho_i D1(379,401) = 0.6741988078976825278 D2(379,401) = 0.0009999887040172168941 C1(379,401) = 0.9317237204229934756 C2(379,401) = 1.277759994276540187 C3(379,401) = 5.257597228162937522 C4(379,401) = 3208 Sum = 4264.638957834656434 Averaged sum = 0.4260804234024034802 logp*logq = 35.58936298650029053 -------------- ************************************* p = 379; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3215153402423200.158 -------------- Searches starting with [379,409]-exponents: u = 1, v = 77 n_start has 204 digits starting right neighbors generation We generated 744 left neighbors We generated 9266 right neighbors We generated 10009 non-negative rho_i D1(379,409) = 0.8810251047827260766 D2(379,409) = 0.003991593961257107861 C1(379,409) = 1.240192903840435626 C2(379,409) = 1.346552369455036569 C3(379,409) = 9.107957752034204632 C4(379,409) = 3272 Sum = 5274.711029544679379 Averaged sum = 0.5269968058292216384 logp*logq = 35.70665146605704847 -------------- ************************************* p = 379; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3710997816681598.879 -------------- Searches starting with [379,419]-exponents: u = 1, v = 59 n_start has 158 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(379,419) = 0.6842415998659445678 D2(379,419) = 0.02643930651033604883 C1(379,419) = 0.9819328383494088694 C2(379,419) = 1.433656586349245052 C3(379,419) = 5.749491036903255685 C4(379,419) = 3352 Sum = 3449.028319124078408 Averaged sum = 0.3445926984837724456 logp*logq = 35.85007718865202821 -------------- ************************************* p = 379; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3817420104331309.410 -------------- Searches starting with [379,421]-exponents: u = 1, v = 56 n_start has 150 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(379,421) = 1.083908665069742917 D2(379,421) = 0.003676328280947384677 C1(379,421) = 1.490818656372401650 C2(379,421) = 1.425891259456117476 C3(379,421) = 14.23333467448852453 C4(379,421) = 3368 Sum = 4851.636658313705268 Averaged sum = 0.4847274111613253339 logp*logq = 35.87835122400895530 -------------- ************************************* p = 379; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4388379453833694.883 -------------- Searches starting with [379,431]-exponents: u = 1, v = 46 n_start has 124 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(379,431) = 0.6660373685272740425 D2(379,431) = 0.009946737639170192130 C1(379,431) = 0.9741902813120021603 C2(379,431) = 1.486582424500689123 C3(379,431) = 5.670739673477574049 C4(379,431) = 3448 Sum = 3153.880894362864867 Averaged sum = 0.3151044953904350951 logp*logq = 36.01773640893441183 -------------- ************************************* p = 379; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4510683330965623.366 -------------- Searches starting with [379,433]-exponents: u = 1, v = 44 n_start has 119 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(379,433) = 0.6190472583905884598 D2(379,433) = 0.03186050603122097768 C1(379,433) = 0.8635049812697274281 C2(379,433) = 1.515772682264130557 C3(379,433) = 4.655998893116853646 C4(379,433) = 3464 Sum = 4435.866579661623217 Averaged sum = 0.4431877889561018300 logp*logq = 36.04522505157461454 -------------- ************************************* p = 379; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4894730214827462.447 -------------- Searches starting with [379,439]-exponents: u = 1, v = 40 n_start has 109 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(379,439) = 0.5689819722255619611 D2(379,439) = 0.01759420086708772696 C1(379,439) = 0.7983462818108395019 C2(379,439) = 1.532447039779130183 C3(379,439) = 4.145774633251091572 C4(379,439) = 3512 Sum = 4184.480965935261757 Averaged sum = 0.4180718319447758774 logp*logq = 36.12693555493660334 -------------- ************************************* p = 379; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5165566271831051.375 -------------- Searches starting with [379,443]-exponents: u = 1, v = 38 n_start has 104 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(379,443) = 0.8801224115848377294 D2(379,443) = 0.02351796584715942304 C1(379,443) = 1.308059054619744166 C2(379,443) = 1.555882519011014420 C3(379,443) = 10.27833307811109810 C4(379,443) = 3544 Sum = 2773.099658276508686 Averaged sum = 0.2770606112775011176 logp*logq = 36.18079112783878804 -------------- ************************************* p = 379; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5595110583817717.883 -------------- Searches starting with [379,449]-exponents: u = 1, v = 35 n_start has 96 digits starting right neighbors generation We generated 206 left neighbors We generated 9804 right neighbors We generated 10009 non-negative rho_i D1(379,449) = 0.9692526556608067855 D2(379,449) = 0.003717273654377480839 C1(379,449) = 1.451051867821242342 C2(379,449) = 1.564998672971076861 C3(379,449) = 13.25997863245973814 C4(379,449) = 3592 Sum = 2658.102239256451999 Averaged sum = 0.2655712098367920870 logp*logq = 36.26066950123666517 -------------- ************************************* p = 379; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6213677950519477.132 -------------- Searches starting with [379,457]-exponents: u = 1, v = 31 n_start has 86 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(379,457) = 0.6060311481464907941 D2(379,457) = 0.07855016057183813599 C1(379,457) = 0.8274621463757762728 C2(379,457) = 1.662473372896138806 C3(379,457) = 4.366464215196050484 C4(379,457) = 3656 Sum = 4285.435136119856738 Averaged sum = 0.4281581712578536056 logp*logq = 36.36552937810134301 -------------- ************************************* p = 379; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6543659369211812.024 -------------- Searches starting with [379,461]-exponents: u = 1, v = 30 n_start has 83 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(379,461) = 0.7148402756591943229 D2(379,461) = 0.01757000128847922922 C1(379,461) = 0.9951084391625523994 C2(379,461) = 1.624909601480307404 C3(379,461) = 5.886025356662187769 C4(379,461) = 3688 Sum = 4236.516740042210648 Averaged sum = 0.4232707303469088468 logp*logq = 36.41727294047430088 -------------- ************************************* p = 379; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6714035631845716.872 -------------- Searches starting with [379,463]-exponents: u = 1, v = 29 n_start has 80 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(379,463) = 0.8613586240496283936 D2(379,463) = 0.06896241969683528772 C1(379,463) = 1.200678597272837028 C2(379,463) = 1.676927216253458703 C3(379,463) = 8.488921002788046897 C4(379,463) = 3704 Sum = 4635.902305299173905 Averaged sum = 0.4631733744928738040 logp*logq = 36.44297660055091843 -------------- ************************************* p = 379; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7065869647060854.449 -------------- Searches starting with [379,467]-exponents: u = 1, v = 28 n_start has 78 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(379,467) = 0.6198362386233423510 D2(379,467) = 0.08085294389739924610 C1(379,467) = 0.8906150490089493107 C2(379,467) = 1.702029394056529313 C3(379,467) = 4.886359173796460339 C4(379,467) = 3736 Sum = 4018.739424861265730 Averaged sum = 0.4015125811630798012 logp*logq = 36.49405249576647117 -------------- ************************************* p = 379; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8214651672130961.600 -------------- Searches starting with [379,479]-exponents: u = 1, v = 25 n_start has 70 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(379,479) = 0.6698333297585434731 D2(379,479) = 0.06177428602233880103 C1(379,479) = 0.9429066543724519081 C2(379,479) = 1.726832172460451360 C3(379,479) = 5.363379165634468339 C4(379,479) = 3832 Sum = 4397.801966906263561 Averaged sum = 0.4393847504152526288 logp*logq = 36.64469574405614921 -------------- ************************************* p = 379; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9063595381005522.840 -------------- Searches starting with [379,487]-exponents: u = 1, v = 23 n_start has 65 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(379,487) = 0.7413071220315959074 D2(379,487) = 0.008678652767925831299 C1(379,487) = 1.048108652126127923 C2(379,487) = 1.707344136960621839 C3(379,487) = 6.468795558285381165 C4(379,487) = 3896 Sum = 4254.475223832403935 Averaged sum = 0.4250649639157162489 logp*logq = 36.74304227741552910 -------------- ************************************* p = 379; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9514671318485277.862 -------------- Searches starting with [379,491]-exponents: u = 1, v = 22 n_start has 62 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(379,491) = 0.8157739131652218203 D2(379,491) = 0.08864304616219933029 C1(379,491) = 1.273013932464427690 C2(379,491) = 1.788527816738391458 C3(379,491) = 9.656318034925383384 C4(379,491) = 3928 Sum = 3974.019026605644271 Averaged sum = 0.3970445625542655880 logp*logq = 36.79161135155036300 -------------- ************************************* p = 379; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10472965541150379.90 -------------- Searches starting with [379,499]-exponents: u = 1, v = 21 n_start has 60 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(379,499) = 0.6005419739370343118 D2(379,499) = 0.1252123908285649191 C1(379,499) = 0.8268280364125391845 C2(379,499) = 1.844729162138147696 C3(379,499) = 4.361534919175312399 C4(379,499) = 3992 Sum = 4143.390630121764172 Averaged sum = 0.4139664931683249247 logp*logq = 36.88757362144042119 -------------- ************************************* p = 379; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10981400269365633.85 -------------- Searches starting with [379,503]-exponents: u = 1, v = 20 n_start has 57 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(379,503) = 1.029861252526312074 D2(379,503) = 0.06033289432166231554 C1(379,503) = 1.623345804308806752 C2(379,503) = 1.799541486672976146 C3(379,503) = 18.02314156452491312 C4(379,503) = 4024 Sum = 4537.690843050547088 Averaged sum = 0.4533610593516382343 logp*logq = 36.93497935194705053 -------------- ************************************* p = 379; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11782428949812215.73 -------------- Searches starting with [379,509]-exponents: u = 1, v = 20 n_start has 57 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(379,509) = 0.6666285478756060792 D2(379,509) = 0.02805600027973842529 C1(379,509) = 1.056701079641008828 C2(379,509) = 1.788996963693537766 C3(379,509) = 6.568566205640024647 C4(379,509) = 4072 Sum = 4009.347063897809511 Averaged sum = 0.4005741896191237397 logp*logq = 37.00538574456288593 -------------- ************************************* p = 379; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13530764815190886.66 -------------- Searches starting with [379,521]-exponents: u = 1, v = 18 n_start has 52 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(379,521) = 0.8375667656517973569 D2(379,521) = 0.07785161679789431985 C1(379,521) = 1.203462333367275027 C2(379,521) = 1.863945833008464592 C3(379,521) = 8.531119154157656314 C4(379,521) = 4168 Sum = 4659.269823016745626 Averaged sum = 0.4655080250791033695 logp*logq = 37.14374236285651639 -------------- ************************************* p = 379; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13842106974406691.44 -------------- Searches starting with [379,523]-exponents: u = 1, v = 18 n_start has 52 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(379,523) = 0.5913310577313201877 D2(379,523) = 0.1136070986028155293 C1(379,523) = 0.8057445815893888627 C2(379,523) = 1.900287911548079252 C3(379,523) = 4.200771520951135095 C4(379,523) = 4184 Sum = 3997.213956602902017 Averaged sum = 0.3993619698873915493 logp*logq = 37.16649157154834064 -------------- ************************************* p = 379; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16922234819791405.55 -------------- Searches starting with [379,541]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(379,541) = 0.6925433665464364206 D2(379,541) = 0.04341771864573309630 C1(379,541) = 1.003261514716266802 C2(379,541) = 1.884596399998801604 C3(379,541) = 5.972132011499447568 C4(379,541) = 4328 Sum = 3830.562702655106887 Averaged sum = 0.3827118296188537203 logp*logq = 37.36740482191471824 -------------- ************************************* p = 379; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18067533937723473.97 -------------- Searches starting with [379,547]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(379,547) = 0.5787764814595190646 D2(379,547) = 0.1272063044721607971 C1(379,547) = 0.9427493076649005820 C2(379,547) = 1.438071737326296897 C3(379,547) = 5.361876124141718066 C4(379,547) = 4376 Sum = 3844.018509633052916 Averaged sum = 0.3840562003829606270 logp*logq = 37.43289301746905779 -------------- ************************************* p = 379; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20119381941637396.00 -------------- Searches starting with [379,557]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(379,557) = 0.5949653498645475708 D2(379,557) = 0.07072264542834260239 C1(379,557) = 0.8183212036745997985 C2(379,557) = 1.944839317417167214 C3(379,557) = 4.295942053779714163 C4(379,557) = 4456 Sum = 4185.501989193641183 Averaged sum = 0.4181738424611490841 logp*logq = 37.54046002106390641 -------------- ************************************* p = 379; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21440908172118817.89 -------------- Searches starting with [379,563]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(379,563) = 1.445246916148156145 D2(379,563) = 0.08767149161839966982 C1(379,563) = 2.373773949793290703 C2(379,563) = 1.108368082807370701 C3(379,563) = 68.60668150467598994 C4(379,563) = 4504 Sum = 1507.364667861019394 Averaged sum = 0.1506009259527444694 logp*logq = 37.60407708899037755 -------------- ************************************* p = 379; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22833833544726444.18 -------------- Searches starting with [379,569]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(379,569) = 0.6019352086299629182 D2(379,569) = 0.01760478909424731978 C1(379,569) = 0.8480468554371037634 C2(379,569) = 1.926598902608639956 C3(379,569) = 4.529542775189417577 C4(379,569) = 4552 Sum = 4232.475301548171503 Averaged sum = 0.4228669498999072338 logp*logq = 37.66701975833911028 -------------- ************************************* p = 379; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23314531720855467.63 -------------- Searches starting with [379,571]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(379,571) = 0.8696514031903058163 D2(379,571) = 0.03966718878257867389 C1(379,571) = 1.320761138486674322 C2(379,571) = 1.949217208515721189 C3(379,571) = 10.51354308955797313 C4(379,571) = 4568 Sum = 3685.611327043154440 Averaged sum = 0.3682297259509595803 logp*logq = 37.68785324008208837 -------------- ************************************* p = 379; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24807406274420723.42 -------------- Searches starting with [379,577]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(379,577) = 0.7850921244305795330 D2(379,577) = 0.09897777208074945757 C1(379,577) = 1.076698357547527888 C2(379,577) = 1.385198628838242252 C3(379,577) = 6.806762556685315953 C4(379,577) = 4616 Sum = 4383.131726581473312 Averaged sum = 0.4379190455171818675 logp*logq = 37.74991864359515379 -------------- ************************************* p = 379; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27471916951241790.61 -------------- Searches starting with [379,587]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(379,587) = 1.033071610802522690 D2(379,587) = 0.002531264151774697535 C1(379,587) = 1.430956201511487063 C2(379,587) = 1.951780064308807402 C3(379,587) = 12.79371555556960536 C4(379,587) = 4696 Sum = 4625.370082910798924 Averaged sum = 0.4621210993017083548 logp*logq = 37.85194067602839455 -------------- ************************************* p = 379; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29181837888195420.38 -------------- Searches starting with [379,593]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(379,593) = 0.6364311331681806297 D2(379,593) = 0.06307756573803558921 C1(379,593) = 0.9168359944739695021 C2(379,593) = 2.013954103550004845 C3(379,593) = 5.120001340012834016 C4(379,593) = 4744 Sum = 4176.866518445881682 Averaged sum = 0.4173110718798962615 logp*logq = 37.91232292053851884 -------------- ************************************* p = 379; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30979350972216425.47 -------------- Searches starting with [379,599]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(379,599) = 0.9828509420986624375 D2(379,599) = 0.07419648562688216632 C1(379,599) = 1.646249470379480171 C2(379,599) = 1.159421445973678729 C3(379,599) = 18.77365850010785574 C4(379,599) = 4792 Sum = 3461.134317309317551 Averaged sum = 0.3458022097421638077 logp*logq = 37.97209727978377834 -------------- ************************************* p = 379; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31598596041807039.60 -------------- Searches starting with [379,601]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(379,601) = 0.6906083516969372752 D2(379,601) = 0.1054250110541822393 C1(379,601) = 0.9518193642831702291 C2(379,601) = 1.391372666137502813 C3(379,601) = 5.449208544056672312 C4(379,601) = 4808 Sum = 4078.246504948198458 Averaged sum = 0.4074579383503045717 logp*logq = 37.99188908545981266 -------------- ************************************* p = 379; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33518426195995793.87 -------------- Searches starting with [379,607]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(379,607) = 0.6969605289325040211 D2(379,607) = 0.1017386355682936025 C1(379,607) = 0.9911898372971953567 C2(379,607) = 1.801011626769083744 C3(379,607) = 5.845082881530497431 C4(379,607) = 4856 Sum = 4316.793511695391264 Averaged sum = 0.4312911890993497117 logp*logq = 38.05087171822888287 -------------- ************************************* p = 379; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35534277344961634.21 -------------- Searches starting with [379,613]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(379,613) = 0.6961865358894946656 D2(379,613) = 0.02150512624992986922 C1(379,613) = 1.032371051025821698 C2(379,613) = 2.017673637420996810 C3(379,613) = 6.289972097233647683 C4(379,613) = 4904 Sum = 3909.369308994970808 Averaged sum = 0.3905854040358648025 logp*logq = 38.10927418455280314 -------------- ************************************* p = 379; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36933391015676300.61 -------------- Searches starting with [379,617]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(379,617) = 0.6762938794686612702 D2(379,617) = 0.05821037540566739360 C1(379,617) = 0.9183565191028820771 C2(379,617) = 2.055431542232062941 C3(379,617) = 5.133887669966376832 C4(379,617) = 4936 Sum = 3909.406705001735267 Averaged sum = 0.3905891402739269924 logp*logq = 38.14789244235082913 -------------- ************************************* p = 379; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37649941171523538.01 -------------- Searches starting with [379,619]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(379,619) = 0.6802816446408142905 D2(379,619) = 0.06880568935020576926 C1(379,619) = 1.152841593126706786 C2(379,619) = 1.349985610166721436 C3(379,619) = 7.795527101162848390 C4(379,619) = 4952 Sum = 4206.734867454693873 Averaged sum = 0.4202952210465275125 logp*logq = 38.16710778664603215 -------------- ************************************* p = 379; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42196428686042107.40 -------------- Searches starting with [379,631]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(379,631) = 0.6485591449274208971 D2(379,631) = 0.08310705051742498960 C1(379,631) = 0.9661529106741674040 C2(379,631) = 1.819496338431846636 C3(379,631) = 5.590130548713812248 C4(379,631) = 5048 Sum = 3714.381305372865591 Averaged sum = 0.3711041368141538206 logp*logq = 38.28111198407863430 -------------- ************************************* p = 379; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46325612786454710.61 -------------- Searches starting with [379,641]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(379,641) = 0.7921815475148017932 D2(379,641) = 0.005085380034480086564 C1(379,641) = 1.085418120520948100 C2(379,641) = 2.054286643807330560 C3(379,641) = 6.913313708428683988 C4(379,641) = 5128 Sum = 4209.597275724072192 Averaged sum = 0.4205812044883676883 logp*logq = 38.37447139498069009 -------------- ************************************* p = 379; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47190472223943954.71 -------------- Searches starting with [379,643]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(379,643) = 0.6558688167777543957 D2(379,643) = 0.02043738574687145885 C1(379,643) = 0.8863521783014611331 C2(379,643) = 2.070149006529548312 C3(379,643) = 4.849395479540467508 C4(379,643) = 5144 Sum = 3765.846048593079187 Averaged sum = 0.3762459834741811557 logp*logq = 38.39296840746358683 -------------- ************************************* p = 379; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48960510279222372.03 -------------- Searches starting with [379,647]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(379,647) = 0.6788323317503526833 D2(379,647) = 0.05262143869357721429 C1(379,647) = 0.9309709823025617333 C2(379,647) = 2.103349016980615853 C3(379,647) = 5.250552313052839416 C4(379,647) = 5176 Sum = 4295.245452002044643 Averaged sum = 0.4291383207115640567 logp*logq = 38.42979045543018138 -------------- ************************************* p = 379; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51718858153892735.40 -------------- Searches starting with [379,653]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(379,653) = 0.7116147003324649584 D2(379,653) = 0.06539544198929409786 C1(379,653) = 1.221732529568399584 C2(379,653) = 1.337582561826160727 C3(379,653) = 8.813328260921363626 C4(379,653) = 5224 Sum = 4228.502669043023294 Averaged sum = 0.4224700438648239877 logp*logq = 38.48459887111302761 -------------- ************************************* p = 379; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54605225777334686.29 -------------- Searches starting with [379,659]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(379,659) = 0.5825775283333269594 D2(379,659) = 0.06283530647945335785 C1(379,659) = 0.8521105745120562018 C2(379,659) = 1.841580123889036340 C3(379,659) = 4.562449641018501568 C4(379,659) = 5272 Sum = 4069.778022423348566 Averaged sum = 0.4066118515759165318 logp*logq = 38.53890598328920992 -------------- ************************************* p = 379; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55596604881055551.79 -------------- Searches starting with [379,661]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(379,661) = 0.8034370329603537218 D2(379,661) = 0.06135526355920796844 C1(379,661) = 1.205981083907408357 C2(379,661) = 1.840647631684456634 C3(379,661) = 8.569481173452845291 C4(379,661) = 5288 Sum = 3393.357354345935223 Averaged sum = 0.3390306078874947770 logp*logq = 38.55689853101241557 -------------- ************************************* p = 379; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61864546312542210.24 -------------- Searches starting with [379,673]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(379,673) = 0.8301980273658963036 D2(379,673) = 0.04843750425917864160 C1(379,673) = 1.249568697695278726 C2(379,673) = 1.687047867391952279 C3(379,673) = 9.261347509703258931 C4(379,673) = 5384 Sum = 4043.946536306939530 Averaged sum = 0.4040310257075571515 logp*logq = 38.66372365304197052 -------------- ************************************* p = 379; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64080029353228914.60 -------------- Searches starting with [379,677]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(379,677) = 0.5947600884663718637 D2(379,677) = 0.04168532953099364462 C1(379,677) = 0.8730728463472077714 C2(379,677) = 1.532158747949781488 C3(379,677) = 4.736032007535831293 C4(379,677) = 5416 Sum = 3827.981604758440523 Averaged sum = 0.3824539519191168471 logp*logq = 38.69890915574229640 -------------- ************************************* p = 379; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67526703433912520.40 -------------- Searches starting with [379,683]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(379,683) = 0.7212074445468321556 D2(379,683) = 0.02843783836855873915 C1(379,683) = 1.257125877481237465 C2(379,683) = 2.141312014666316513 C3(379,683) = 9.386862623672346525 C4(379,683) = 5464 Sum = 3985.136039712854736 Averaged sum = 0.3981552642334753457 logp*logq = 38.75129952098591190 -------------- ************************************* p = 379; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72360858344765132.78 -------------- Searches starting with [379,691]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(379,691) = 0.6493159777222150140 D2(379,691) = 0.04125271164247439799 C1(379,691) = 0.9015801069651973047 C2(379,691) = 1.868698787932836540 C3(379,691) = 4.982737684420823356 C4(379,691) = 5528 Sum = 4326.812133771324033 Averaged sum = 0.4322921504417348419 logp*logq = 38.82044191751177451 -------------- ************************************* p = 379; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78804997779104788.40 -------------- Searches starting with [379,701]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(379,701) = 0.7291057506491735531 D2(379,701) = 0.03455502238355919665 C1(379,701) = 1.103846333925668499 C2(379,701) = 1.864648765981565906 C3(379,701) = 7.144016450800684719 C4(379,701) = 5608 Sum = 3649.323329307577347 Averaged sum = 0.3646041891605132728 logp*logq = 38.90575281335602805 -------------- ************************************* p = 379; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84297603705094177.55 -------------- Searches starting with [379,709]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(379,709) = 0.9834055912092786817 D2(379,709) = 0.02691782649637364947 C1(379,709) = 1.297993686004265612 C2(379,709) = 1.707449492967085421 C3(379,709) = 10.09569112502546927 C4(379,709) = 5672 Sum = 3567.617229639169932 Averaged sum = 0.3564409261303996335 logp*logq = 38.97312983371487976 -------------- ************************************* p = 379; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91607538705379817.90 -------------- Searches starting with [379,719]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(379,719) = 1.263997175379004837 D2(379,719) = 0.01995662433449162765 C1(379,719) = 1.740275197915135428 C2(379,719) = 1.610983487113445264 C3(379,719) = 22.19666901205906177 C4(379,719) = 5752 Sum = 4682.810068924772448 Averaged sum = 0.4678599329528197070 logp*logq = 39.05628996348136009 -------------- ************************************* p = 379; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97828223384343762.28 -------------- Searches starting with [379,727]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(379,727) = 0.6251395521865633610 D2(379,727) = 0.01361298171075954087 C1(379,727) = 1.109017127013913722 C2(379,727) = 1.396446496617532356 C3(379,727) = 7.210121843558461891 C4(379,727) = 5816 Sum = 4261.401205102382652 Averaged sum = 0.4257569392648998554 logp*logq = 39.12198951298149148 -------------- ************************************* p = 379; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102720844393053532.3 -------------- Searches starting with [379,733]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(379,733) = 1.679229516516241474 D2(379,733) = 0.007845491411939417997 C1(379,733) = 2.978301984720144454 C2(379,733) = 1.005395271904478432 C3(379,733) = 201.3877694726698293 C4(379,733) = 5864 Sum = 981.3084146714390027 Averaged sum = 0.09804260312433200147 logp*logq = 39.17079145515590867 -------------- ************************************* p = 379; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107815254520498366.6 -------------- Searches starting with [379,739]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(379,739) = 0.6495578111884288389 D2(379,739) = 0.01117625700858527820 C1(379,739) = 0.9073336139778992987 C2(379,739) = 1.898377855387707410 C3(379,739) = 5.034066792353646377 C4(379,739) = 5912 Sum = 3840.687812842428909 Averaged sum = 0.3837234301970655319 logp*logq = 39.21919555098562655 -------------- ************************************* p = 379; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111326876976300930.3 -------------- Searches starting with [379,743]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(379,743) = 0.6347500259741264405 D2(379,743) = 0.008774395102658226004 C1(379,743) = 0.8762389337438214566 C2(379,743) = 1.896993490445283109 C3(379,743) = 4.762817425404649096 C4(379,743) = 5944 Sum = 4208.720273804734788 Averaged sum = 0.4204935831556334088 logp*logq = 39.25124710630688958 -------------- ************************************* p = 379; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118635929904727743.9 -------------- Searches starting with [379,751]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(379,751) = 0.6996750731803736640 D2(379,751) = 0.004050004399230835448 C1(379,751) = 0.9321429924050805117 C2(379,751) = 1.894287441243426549 C3(379,751) = 5.261525314369609291 C4(379,751) = 6008 Sum = 3694.395651735198359 Averaged sum = 0.3691073685418321869 logp*logq = 39.31483578588695045 -------------- ************************************* p = 379; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124375838730420844.2 -------------- Searches starting with [379,757]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(379,757) = 0.7440728872473607608 D2(379,757) = 0.0005739004138742554718 C1(379,757) = 1.023405179566369292 C2(379,757) = 1.892310756987398030 C3(379,757) = 6.190313794679356884 C4(379,757) = 6056 Sum = 4206.917758284829562 Averaged sum = 0.4203134936841672057 logp*logq = 39.36208433392787701 -------------- ************************************* p = 379; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128329268981054637.2 -------------- Searches starting with [379,761]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(379,761) = 0.7830009840355564778 D2(379,761) = 0.1239873783004417642 C1(379,761) = 1.256727127798415947 C2(379,761) = 1.302524017458630557 C3(379,761) = 9.380197591435553765 C4(379,761) = 6088 Sum = 3649.593190256174321 Averaged sum = 0.3646311509897266781 logp*logq = 39.39337576975134963 -------------- ************************************* p = 379; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136550133092023960.8 -------------- Searches starting with [379,769]-exponents: u = 19, v = 8 n_start has 73 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(379,769) = 0.6223078398889994885 D2(379,769) = 0.1231815184833026554 C1(379,769) = 0.9102223569937809009 C2(379,769) = 1.856649869269450539 C3(379,769) = 5.060037357842247004 C4(379,769) = 6152 Sum = 3826.642299122849058 Averaged sum = 0.3823201417846786949 logp*logq = 39.45546821750604263 -------------- ************************************* p = 379; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140821936413257314.7 -------------- Searches starting with [379,773]-exponents: u = 28, v = 8 n_start has 96 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(379,773) = 1.001132015674128153 D2(379,773) = 0.09772704576436581957 C1(379,773) = 1.536306466889615255 C2(379,773) = 1.832144631328592640 C3(379,773) = 15.43463332946472345 C4(379,773) = 6184 Sum = 3300.663665541711920 Averaged sum = 0.3297695739376273273 logp*logq = 39.48627262488893022 -------------- ************************************* p = 379; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156658809683344549.3 -------------- Searches starting with [379,787]-exponents: u = 64, v = 8 n_start has 189 digits starting right neighbors generation We generated 2297 left neighbors We generated 7713 right neighbors We generated 10009 non-negative rho_i D1(379,787) = 0.8623732097406271337 D2(379,787) = 0.02225783216971361366 C1(379,787) = 1.220410585291705111 C2(379,787) = 1.759958946184578520 C3(379,787) = 8.792599299972761578 C4(379,787) = 6296 Sum = 4814.156424530926585 Averaged sum = 0.4809827579709188315 logp*logq = 39.59284664873170331 -------------- ************************************* p = 379; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168854963329031405.0 -------------- Searches starting with [379,797]-exponents: u = 9, v = 655 n_start has 1924 digits --- performed 5000 steps in the continued fraction search [379,797]-exponents: u = 699, v = 35 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(379,797) = 0.6478075816084882321 D2(379,797) = 0.4519570168559581657 C1(379,797) = 0.8225778572307582882 C2(379,797) = 1.497214772782817061 C3(379,797) = 4.328639205091742221 C4(379,797) = 6376 Sum = 5609.287793428869940 Averaged sum = 0.5609848778306700610 logp*logq = 39.66781653621122585 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(379,797) = 0.6478075816084882321 D2(379,797) = 0.4519570168559581657 C1(379,797) = 0.8225778572307582882 C2(379,797) = 1.497214772782817061 C3(379,797) = 4.328639205091742221 C4(379,797) = 6376 Sum = 5609.287793428869940 Averaged sum = 0.5609848778306700610 logp*logq = 39.66781653621122585 -------------- ************************************* p = 379; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184522627285724207.5 -------------- Searches starting with [379,809]-exponents: u = 9, v = 39 n_start has 137 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(379,809) = 0.7521865198411090823 D2(379,809) = 0.02298148651033374447 C1(379,809) = 1.089659321517091910 C2(379,809) = 1.560083227175499522 C3(379,809) = 6.965740385511800209 C4(379,809) = 6472 Sum = 4454.614212697855464 Averaged sum = 0.4450608664899445962 logp*logq = 39.75654849198649676 -------------- ************************************* p = 379; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187247765249985026.9 -------------- Searches starting with [379,811]-exponents: u = 9, v = 39 n_start has 137 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(379,811) = 0.7091025652198891056 D2(379,811) = 0.02952545507752835183 C1(379,811) = 1.042897884858509207 C2(379,811) = 1.567028828056557762 C3(379,811) = 6.409030576673541744 C4(379,811) = 6488 Sum = 3231.989255409686098 Averaged sum = 0.3229083080637112696 logp*logq = 39.77120908265727724 -------------- ************************************* p = 379; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 201380775720866823.7 -------------- Searches starting with [379,821]-exponents: u = 9, v = 23 n_start has 91 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(379,821) = 0.6692346987830500412 D2(379,821) = 0.06949723494444640175 C1(379,821) = 0.8962038291182957584 C2(379,821) = 1.736659214761900981 C3(379,821) = 4.935247101747208370 C4(379,821) = 6568 Sum = 3744.674189508128526 Averaged sum = 0.3741307013196251899 logp*logq = 39.84397391741609421 -------------- ************************************* p = 379; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204311152616127515.3 -------------- Searches starting with [379,823]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(379,823) = 0.7547218935895931882 D2(379,823) = 0.08249745033315743531 C1(379,823) = 1.167349870253938606 C2(379,823) = 1.857961007326579417 C3(379,823) = 7.999616727850974173 C4(379,823) = 6584 Sum = 3378.831047305728631 Averaged sum = 0.3375792833755348817 logp*logq = 39.85842048465267199 -------------- ************************************* p = 379; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 210278364977148293.0 -------------- Searches starting with [379,827]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(379,827) = 0.5891352955153804259 D2(379,827) = 0.1001122678304421221 C1(379,827) = 0.8681590788759860691 C2(379,827) = 1.876382843561253212 C3(379,827) = 4.694759046672576856 C4(379,827) = 6616 Sum = 3865.968367947530214 Averaged sum = 0.3862492125034998715 logp*logq = 39.88720859537587462 -------------- ************************************* p = 379; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 213315882237893880.4 -------------- Searches starting with [379,829]-exponents: u = 9, v = 15 n_start has 67 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(379,829) = 0.5656283464193112819 D2(379,829) = 0.1092544872231101000 C1(379,829) = 0.7830218218631725716 C2(379,829) = 1.885927082196307604 C3(379,829) = 4.034136523843726158 C4(379,829) = 6632 Sum = 4031.207694789537254 Averaged sum = 0.4027582870206351537 logp*logq = 39.90155047724045379 -------------- ************************************* p = 379; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 229056435169781891.7 -------------- Searches starting with [379,839]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(379,839) = 0.6669148682046694332 D2(379,839) = 0.1150576998416657829 C1(379,839) = 1.086216730462634916 C2(379,839) = 1.401554050579361430 C3(379,839) = 6.923155305680812238 C4(379,839) = 6712 Sum = 3978.794191281386410 Averaged sum = 0.3975216496434595274 logp*logq = 39.97274480989257587 -------------- ************************************* p = 379; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 252706252715003328.7 -------------- Searches starting with [379,853]-exponents: u = 25, v = 7 n_start has 85 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(379,853) = 0.6710301861184376236 D2(379,853) = 0.06212216834142263625 C1(379,853) = 1.042371700540689431 C2(379,853) = 1.860521676838056129 C3(379,853) = 6.403026276438629442 C4(379,853) = 6824 Sum = 3769.699324610909822 Averaged sum = 0.3766309645929573206 logp*logq = 40.07100415262753731 -------------- ************************************* p = 379; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 259824331748017104.2 -------------- Searches starting with [379,857]-exponents: u = 25, v = 7 n_start has 85 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(379,857) = 0.7210871235875406115 D2(379,857) = 0.04458921749579230768 C1(379,857) = 0.9777781991406280540 C2(379,857) = 1.843865833625799085 C3(379,857) = 5.707098212674161472 C4(379,857) = 6856 Sum = 4145.242643223266365 Averaged sum = 0.4141515279471741798 logp*logq = 40.09878215045082156 -------------- ************************************* p = 379; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 263445409657213473.5 -------------- Searches starting with [379,859]-exponents: u = 25, v = 7 n_start has 86 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(379,859) = 0.7264221436814872858 D2(379,859) = 0.03615850628212544150 C1(379,859) = 1.096509149659009349 C2(379,859) = 1.835872120467084897 C3(379,859) = 7.051253920303849706 C4(379,859) = 6872 Sum = 3790.269431200168622 Averaged sum = 0.3786861256069705886 logp*logq = 40.11262256745219007 -------------- ************************************* p = 379; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 270813554889365002.9 -------------- Searches starting with [379,863]-exponents: u = 33, v = 7 n_start has 106 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(379,863) = 0.6446466321049658689 D2(379,863) = 0.01989967148664712656 C1(379,863) = 0.8866544327148405797 C2(379,863) = 1.820484194523807584 C3(379,863) = 4.852007116719776497 C4(379,863) = 6904 Sum = 4176.426368602051155 Averaged sum = 0.4172670964733790743 logp*logq = 40.14020698967898039 -------------- ************************************* p = 379; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 297965949422335073.3 -------------- Searches starting with [379,877]-exponents: u = 97, v = 7 n_start has 271 digits starting right neighbors generation We generated 4480 left neighbors We generated 5530 right neighbors We generated 10009 non-negative rho_i D1(379,877) = 0.9212949018058138265 D2(379,877) = 0.01824297388436092885 C1(379,877) = 1.273919055621447085 C2(379,877) = 1.645891755839512376 C3(379,877) = 9.671899384055007904 C4(379,877) = 7016 Sum = 4634.627402190013526 Averaged sum = 0.4630459988200632956 logp*logq = 40.23575561120405836 -------------- ************************************* p = 379; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 306126607945173409.4 -------------- Searches starting with [379,881]-exponents: u = 201, v = 7 n_start has 539 digits --- performed 5000 steps in the continued fraction search [379,881]-exponents: u = 143, v = 31 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(379,881) = 0.5413577088737553639 D2(379,881) = 0.1635259662134802961 C1(379,881) = 0.7231909996146786519 C2(379,881) = 1.467001345131384202 C3(379,881) = 3.626311375291150783 C4(379,881) = 7048 Sum = 4791.981464992735005 Averaged sum = 0.4792460711063841389 logp*logq = 40.26277516274635067 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(379,881) = 0.5413577088737553639 D2(379,881) = 0.1635259662134802961 C1(379,881) = 0.7231909996146786519 C2(379,881) = 1.467001345131384202 C3(379,881) = 3.626311375291150783 C4(379,881) = 7048 Sum = 4791.981464992735005 Averaged sum = 0.4792460711063841389 logp*logq = 40.26277516274635067 -------------- ************************************* p = 379; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 310276108772099790.1 -------------- Searches starting with [379,883]-exponents: u = 393, v = 7 n_start has 1035 digits --- performed 5000 steps in the continued fraction search [379,883]-exponents: u = 328, v = 51 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(379,883) = 0.5680309913670234241 D2(379,883) = 0.3221333518433255717 C1(379,883) = 0.7374087275461086328 C2(379,883) = 1.471972362198874277 C3(379,883) = 3.719324027900686748 C4(379,883) = 7064 Sum = 5232.874812987466098 Averaged sum = 0.5233398152802746372 logp*logq = 40.27623896943402517 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(379,883) = 0.5680309913670234241 D2(379,883) = 0.3221333518433255717 C1(379,883) = 0.7374087275461086328 C2(379,883) = 1.471972362198874277 C3(379,883) = 3.719324027900686748 C4(379,883) = 7064 Sum = 5232.874812987466098 Averaged sum = 0.5233398152802746372 logp*logq = 40.27623896943402517 -------------- ************************************* p = 379; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 318715527638648775.0 -------------- Searches starting with [379,887]-exponents: u = 8, v = 405 n_start has 1215 digits --- performed 5000 steps in the continued fraction search [379,887]-exponents: u = 47, v = 360 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(379,887) = 0.7818235982194894457 D2(379,887) = 0.3872157865753141461 C1(379,887) = 1.008724868000837228 C2(379,887) = 1.510103634545470655 C3(379,887) = 6.030535570102619772 C4(379,887) = 7096 Sum = 5330.265269270780349 Averaged sum = 0.5330798349105690917 logp*logq = 40.30307533695021002 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(379,887) = 0.7818235982194894457 D2(379,887) = 0.3872157865753141461 C1(379,887) = 1.008724868000837228 C2(379,887) = 1.510103634545470655 C3(379,887) = 6.030535570102619772 C4(379,887) = 7096 Sum = 5330.265269270780349 Averaged sum = 0.5330798349105690917 logp*logq = 40.30307533695021002 -------------- ************************************* p = 379; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 363831542220730207.5 -------------- Searches starting with [379,907]-exponents: u = 8, v = 34 n_start has 122 digits starting right neighbors generation We generated 798 left neighbors We generated 9212 right neighbors We generated 10009 non-negative rho_i D1(379,907) = 0.7254953374186346496 D2(379,907) = 0.06910725881007105634 C1(379,907) = 1.078253079755271074 C2(379,907) = 1.798126341203408444 C3(379,907) = 6.825639452707763109 C4(379,907) = 7256 Sum = 3082.968823368452873 Averaged sum = 0.3080196646386704838 logp*logq = 40.43546735932736517 -------------- ************************************* p = 379; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 373462940959288836.4 -------------- Searches starting with [379,911]-exponents: u = 8, v = 27 n_start has 101 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(379,911) = 0.6988384638032870070 D2(379,911) = 0.006613282159944243360 C1(379,911) = 0.9685696797036908574 C2(379,911) = 1.657915251233095483 C3(379,911) = 5.614247806000334446 C4(379,911) = 7288 Sum = 4237.350239824886710 Averaged sum = 0.4233540053776487871 logp*logq = 40.46159517356829571 -------------- ************************************* p = 379; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 393362663492454063.7 -------------- Searches starting with [379,919]-exponents: u = 8, v = 20 n_start has 80 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(379,919) = 0.5693926420972176980 D2(379,919) = 0.02830194413572290427 C1(379,919) = 0.8028909535688674568 C2(379,919) = 1.759903042736926791 C3(379,919) = 4.179472542838352957 C4(379,919) = 7352 Sum = 4114.699557576736730 Averaged sum = 0.4110999657884640554 logp*logq = 40.51350838912337030 -------------- ************************************* p = 379; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 419469858061208515.5 -------------- Searches starting with [379,929]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(379,929) = 0.6797686649751242362 D2(379,929) = 0.06045894968617466371 C1(379,929) = 0.9743211289625602171 C2(379,929) = 1.910962401850729552 C3(379,929) = 5.672061553146713382 C4(379,929) = 7432 Sum = 4163.787743907010197 Averaged sum = 0.4160043704572894591 logp*logq = 40.57776806617736558 -------------- ************************************* p = 379; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 441378742453755813.6 -------------- Searches starting with [379,937]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(379,937) = 0.5599197080370820701 D2(379,937) = 0.08633401003608759772 C1(379,937) = 0.7962984111317643662 C2(379,937) = 1.938297576435037727 C3(379,937) = 4.130678976715330183 C4(379,937) = 7496 Sum = 4077.470383930841956 Averaged sum = 0.4073803960366512095 logp*logq = 40.62867972820288258 -------------- ************************************* p = 379; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 452684941672205795.0 -------------- Searches starting with [379,941]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(379,941) = 0.7694433141632673955 D2(379,941) = 0.09304847362261133404 C1(379,941) = 1.051924026314528971 C2(379,941) = 1.419621779849493539 C3(379,941) = 6.512909195551486366 C4(379,941) = 7528 Sum = 4048.040709592201808 Averaged sum = 0.4044400748918175450 logp*logq = 40.65397278542892879 -------------- ************************************* p = 379; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 470095137832616913.1 -------------- Searches starting with [379,947]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(379,947) = 0.7789051990870680747 D2(379,947) = 0.08098937121439097755 C1(379,947) = 1.291251449218226924 C2(379,947) = 1.318436555139246076 C3(379,947) = 9.975167990628263958 C4(379,947) = 7576 Sum = 3913.010704509819924 Averaged sum = 0.3909492161564411953 logp*logq = 40.69171149005090079 -------------- ************************************* p = 379; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 488058584307960443.4 -------------- Searches starting with [379,953]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(379,953) = 0.5515460233606775291 D2(379,953) = 0.08184663463325298599 C1(379,953) = 0.7571221030359626188 C2(379,953) = 1.957519012981353046 C3(379,953) = 3.852249493073213235 C4(379,953) = 7624 Sum = 4138.545433766867437 Averaged sum = 0.4134824092083991844 logp*logq = 40.72921184336982485 -------------- ************************************* p = 379; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 532203562677300929.2 -------------- Searches starting with [379,967]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(379,967) = 0.8467558836017761215 D2(379,967) = 0.03231350014747992925 C1(379,967) = 1.334740533814072694 C2(379,967) = 1.910801246490557176 C3(379,967) = 10.77863205508820828 C4(379,967) = 7736 Sum = 3361.084194126927243 Averaged sum = 0.3358061938382383098 logp*logq = 40.81580244767707802 -------------- ************************************* p = 379; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 545409037644290711.3 -------------- Searches starting with [379,971]-exponents: u = 22, v = 6 n_start has 75 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(379,971) = 0.6023212521355401530 D2(379,971) = 0.01939303782910832992 C1(379,971) = 0.8276199094369171250 C2(379,971) = 1.898677585329839885 C3(379,971) = 4.367691462041960311 C4(379,971) = 7768 Sum = 4097.052204766114033 Averaged sum = 0.4093368173410044993 logp*logq = 40.84031243585648148 -------------- ************************************* p = 379; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 565727410328675894.0 -------------- Searches starting with [379,977]-exponents: u = 22, v = 6 n_start has 75 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(379,977) = 0.5857837516811952154 D2(379,977) = 0.0008526904279102956416 C1(379,977) = 0.8239049055643013844 C2(379,977) = 1.881326219633131233 C3(379,977) = 4.338883621127627572 C4(379,977) = 7816 Sum = 3946.127110067677456 Averaged sum = 0.3942578789157435764 logp*logq = 40.87688874991072282 -------------- ************************************* p = 379; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 586671319931632801.7 -------------- Searches starting with [379,983]-exponents: u = 29, v = 6 n_start has 93 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(379,983) = 0.7131328766135168396 D2(379,983) = 0.07798564516740615625 C1(379,983) = 0.9927316184136026216 C2(379,983) = 1.847298811231138477 C3(379,983) = 5.861157681163529876 C4(379,983) = 7864 Sum = 4309.484841816684718 Averaged sum = 0.4305609793002982034 logp*logq = 40.91324112594496408 -------------- ************************************* p = 379; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 615596010455376008.5 -------------- Searches starting with [379,991]-exponents: u = 36, v = 6 n_start has 111 digits starting right neighbors generation We generated 646 left neighbors We generated 9364 right neighbors We generated 10009 non-negative rho_i D1(379,991) = 0.6429406386593015363 D2(379,991) = 0.02988889047800777812 C1(379,991) = 0.8813390967899242670 C2(379,991) = 1.800711884044579934 C3(379,991) = 4.806284250221409609 C4(379,991) = 7928 Sum = 4164.771534580731008 Averaged sum = 0.4161026610631162961 logp*logq = 40.96136731611265495 -------------- ************************************* p = 379; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 638059340245281213.3 -------------- Searches starting with [379,997]-exponents: u = 50, v = 6 n_start has 147 digits starting right neighbors generation We generated 1113 left neighbors We generated 8897 right neighbors We generated 10009 non-negative rho_i D1(379,997) = 0.6289459789315647122 D2(379,997) = 0.05212878215793067561 C1(379,997) = 0.9153292299999483194 C2(379,997) = 1.746561262283427385 C3(379,997) = 5.106277728172460307 C4(379,997) = 7976 Sum = 3393.586588367192678 Averaged sum = 0.3390535106771098689 logp*logq = 40.99720768371917494 -------------- ************************************* p = 383; q = 389; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2541621343718541.728 -------------- Searches starting with [383,389]-exponents: u = 1, v = 382 n_start has 992 digits --- performed 5000 steps in the continued fraction search [383,389]-exponents: u = 112, v = 258 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(383,389) = 0.5938362599899269154 D2(383,389) = 0.09311524527079842278 C1(383,389) = 0.7718525314623947670 C2(383,389) = 1.142651210064353724 C3(383,389) = 3.960063569249702958 C4(383,389) = 3112 Sum = 5390.461779367339402 Averaged sum = 0.5391000879455284930 logp*logq = 35.47157859659746911 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(383,389) = 0.5938362599899269154 D2(383,389) = 0.09311524527079842278 C1(383,389) = 0.7718525314623947670 C2(383,389) = 1.142651210064353724 C3(383,389) = 3.960063569249702958 C4(383,389) = 3112 Sum = 5390.461779367339402 Averaged sum = 0.5391000879455284930 logp*logq = 35.47157859659746911 -------------- ************************************* p = 383; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2868777485101879.669 -------------- Searches starting with [383,397]-exponents: u = 1, v = 165 n_start has 432 digits starting right neighbors generation We generated 3149 left neighbors We generated 6861 right neighbors We generated 10009 non-negative rho_i D1(383,397) = 0.6452248872980205336 D2(383,397) = 0.006744848325854411993 C1(383,397) = 0.8700151698915609775 C2(383,397) = 1.196119363587233913 C3(383,397) = 4.717552096727827870 C4(383,397) = 3176 Sum = 4914.503189853342548 Averaged sum = 0.4910084114150607002 logp*logq = 35.59266237055490764 -------------- ************************************* p = 383; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3045045667261296.313 -------------- Searches starting with [383,401]-exponents: u = 1, v = 129 n_start has 339 digits starting right neighbors generation We generated 1975 left neighbors We generated 8035 right neighbors We generated 10009 non-negative rho_i D1(383,401) = 0.5688251305228668825 D2(383,401) = 0.008267689043184298190 C1(383,401) = 0.7768679620725912172 C2(383,401) = 1.243548059270177915 C3(383,401) = 3.995636522251815969 C4(383,401) = 3208 Sum = 4787.262635599066943 Averaged sum = 0.4782957973422986256 logp*logq = 35.65229229341863865 -------------- ************************************* p = 383; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3424692779236130.246 -------------- Searches starting with [383,409]-exponents: u = 1, v = 90 n_start has 238 digits starting right neighbors generation We generated 956 left neighbors We generated 9054 right neighbors We generated 10009 non-negative rho_i D1(383,409) = 0.5600176759143787242 D2(383,409) = 0.02180848343544932975 C1(383,409) = 0.7808474671416915621 C2(383,409) = 1.329583764015378255 C3(383,409) = 4.024089186463596867 C4(383,409) = 3272 Sum = 4633.331060729463564 Averaged sum = 0.4629164812398305089 logp*logq = 35.76978816310853309 -------------- ************************************* p = 383; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3953855176307771.168 -------------- Searches starting with [383,419]-exponents: u = 1, v = 66 n_start has 176 digits starting right neighbors generation We generated 575 left neighbors We generated 9435 right neighbors We generated 10009 non-negative rho_i D1(383,419) = 0.6615349036670318085 D2(383,419) = 0.01583278455728068736 C1(383,419) = 0.9420715359794153978 C2(383,419) = 1.397364509102168013 C3(383,419) = 5.364327030725499175 C4(383,419) = 3352 Sum = 3615.364598265347745 Averaged sum = 0.3612113695939002643 logp*logq = 35.91346749185320955 -------------- ************************************* p = 383; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4067445359576709.857 -------------- Searches starting with [383,421]-exponents: u = 1, v = 62 n_start has 166 digits starting right neighbors generation We generated 483 left neighbors We generated 9527 right neighbors We generated 10009 non-negative rho_i D1(383,421) = 0.7486463392637249138 D2(383,421) = 0.01495109035150559836 C1(383,421) = 1.069617618575398194 C2(383,421) = 1.409492180758998772 C3(383,421) = 6.734161919352001901 C4(383,421) = 3368 Sum = 4889.206289907439412 Averaged sum = 0.4884809960942591080 logp*logq = 35.94179152151459978 -------------- ************************************* p = 383; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4676952736508689.199 -------------- Searches starting with [383,431]-exponents: u = 1, v = 50 n_start has 135 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(383,431) = 0.6140359793863582939 D2(383,431) = 0.02146885128354677415 C1(383,431) = 0.8314029499829364785 C2(383,431) = 1.473599040618128662 C3(383,431) = 4.403686810200163727 C4(383,431) = 3448 Sum = 4220.086581870990682 Averaged sum = 0.4216291919143761297 logp*logq = 36.08142316808887458 -------------- ************************************* p = 383; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4807532801234158.663 -------------- Searches starting with [383,433]-exponents: u = 1, v = 48 n_start has 130 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(383,433) = 0.7991501883239265151 D2(383,433) = 0.007749739619390366974 C1(383,433) = 1.109247315137899525 C2(383,433) = 1.472376439331175034 C3(383,433) = 7.227227770124678649 C4(383,433) = 3464 Sum = 4544.310018565541900 Averaged sum = 0.4540223817130124787 logp*logq = 36.10896041629782911 -------------- ************************************* p = 383; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5217607720262096.364 -------------- Searches starting with [383,439]-exponents: u = 1, v = 43 n_start has 117 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(383,439) = 0.5950422125229964663 D2(383,439) = 0.02546875216233472697 C1(383,439) = 0.8314184723413809189 C2(383,439) = 1.518151882402063084 C3(383,439) = 4.403808694094453235 C4(383,439) = 3512 Sum = 4403.312788768504502 Averaged sum = 0.4399353370734843143 logp*logq = 36.19081540062022370 -------------- ************************************* p = 383; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5506833669364240.679 -------------- Searches starting with [383,443]-exponents: u = 1, v = 40 n_start has 109 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(383,443) = 0.7172253502993111297 D2(383,443) = 0.05153548985331604783 C1(383,443) = 1.059378782027893690 C2(383,443) = 1.559985478730479320 C3(383,443) = 6.612335344784546243 C4(383,443) = 3544 Sum = 4452.826536778349983 Averaged sum = 0.4448822596441552586 logp*logq = 36.24476620124192983 -------------- ************************************* p = 383; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5965598710594303.451 -------------- Searches starting with [383,449]-exponents: u = 1, v = 37 n_start has 101 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(383,449) = 0.5811627802006402292 D2(383,449) = 0.06151135724701324742 C1(383,449) = 0.8197205735917134097 C2(383,449) = 1.595763867081991739 C3(383,449) = 4.312905094013961350 C4(383,449) = 3592 Sum = 4161.692908698413902 Averaged sum = 0.4157950753020695277 logp*logq = 36.32478581601795695 -------------- ************************************* p = 383; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6626353890221449.027 -------------- Searches starting with [383,457]-exponents: u = 1, v = 33 n_start has 91 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(383,457) = 0.9248849574345899630 D2(383,457) = 0.01749439683458613816 C1(383,457) = 1.279964396807572228 C2(383,457) = 1.591117963459606293 C3(383,457) = 9.798746639194499731 C4(383,457) = 3656 Sum = 4550.981875095421250 Averaged sum = 0.4546889674388471625 logp*logq = 36.42983110669229304 -------------- ************************************* p = 383; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6978889225797621.505 -------------- Searches starting with [383,461]-exponents: u = 1, v = 32 n_start has 88 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(383,461) = 0.7768185527388583770 D2(383,461) = 0.04976957435644671341 C1(383,461) = 1.172970400698396370 C2(383,461) = 1.634940127956648784 C3(383,461) = 8.096870842947721074 C4(383,461) = 3688 Sum = 2465.401222645052055 Averaged sum = 0.2463184356724000454 logp*logq = 36.48166616231616556 -------------- ************************************* p = 383; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7160922953855485.612 -------------- Searches starting with [383,463]-exponents: u = 1, v = 31 n_start has 86 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(383,463) = 0.6814311231498094697 D2(383,463) = 0.02260946538558338710 C1(383,463) = 0.9470302425128616831 C2(383,463) = 1.619211960380620981 C3(383,463) = 5.411966969249979853 C4(383,463) = 3704 Sum = 4374.971528294153914 Averaged sum = 0.4371037594459140688 logp*logq = 36.50741527174557148 -------------- ************************************* p = 383; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7536855742200321.508 -------------- Searches starting with [383,467]-exponents: u = 1, v = 29 n_start has 80 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(383,467) = 1.368438256012672985 D2(383,467) = 0.04089000225467738805 C1(383,467) = 2.078985097990668729 C2(383,467) = 1.650097082558857030 C3(383,467) = 40.72967991683917788 C4(383,467) = 3736 Sum = 6394.843900917430471 Averaged sum = 0.6389093716572515207 logp*logq = 36.55858147963930752 -------------- ************************************* p = 383; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8764545834564022.371 -------------- Searches starting with [383,479]-exponents: u = 1, v = 26 n_start has 73 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(383,479) = 0.7315973193045309633 D2(383,479) = 0.04814145992198314282 C1(383,479) = 0.9963457300960358504 C2(383,479) = 1.699020910778600726 C3(383,479) = 5.909404856622111826 C4(383,479) = 3832 Sum = 4089.770274565322197 Averaged sum = 0.4086092791053374161 logp*logq = 36.70949109614721959 -------------- ************************************* p = 383; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9672000175675970.191 -------------- Searches starting with [383,487]-exponents: u = 1, v = 24 n_start has 68 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(383,487) = 0.7255483889222132814 D2(383,487) = 0.01246390014452910471 C1(383,487) = 1.004680412149470199 C2(383,487) = 1.695047411072448199 C3(383,487) = 5.997881784886672930 C4(383,487) = 3896 Sum = 4257.615036338442518 Averaged sum = 0.4253786628372906901 logp*logq = 36.80801152638653171 -------------- ************************************* p = 383; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10154227139284244.82 -------------- Searches starting with [383,491]-exponents: u = 1, v = 23 n_start has 65 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(383,491) = 0.8551332076704682499 D2(383,491) = 0.09693727997802869131 C1(383,491) = 1.328824856349328253 C2(383,491) = 1.780732859171744667 C3(383,491) = 10.69071554848843918 C4(383,491) = 3928 Sum = 4173.685805728701942 Averaged sum = 0.4169932866149167691 logp*logq = 36.85666648062475859 -------------- ************************************* p = 383; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11178832521144676.99 -------------- Searches starting with [383,499]-exponents: u = 1, v = 22 n_start has 62 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(383,499) = 0.8233446781379534443 D2(383,499) = 0.01543951748612869815 C1(383,499) = 1.204647906952286797 C2(383,499) = 1.734956288795711475 C3(383,499) = 8.567368230716065616 C4(383,499) = 3992 Sum = 4200.950410006220647 Averaged sum = 0.4197172954347308069 logp*logq = 36.95279843152699965 -------------- ************************************* p = 383; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11722517797278830.86 -------------- Searches starting with [383,503]-exponents: u = 1, v = 21 n_start has 60 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(383,503) = 0.6116930551453202400 D2(383,503) = 0.09133630982218102683 C1(383,503) = 0.9595444307515590059 C2(383,503) = 1.812050459696706413 C3(383,503) = 5.534084590962441493 C4(383,503) = 4024 Sum = 4206.914564587647154 Averaged sum = 0.4203131746016232544 logp*logq = 37.00028798510643509 -------------- ************************************* p = 383; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12579172571536371.05 -------------- Searches starting with [383,509]-exponents: u = 1, v = 20 n_start has 57 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(383,509) = 0.7572873782677636202 D2(383,509) = 0.06787699123271129339 C1(383,509) = 1.194126905070739769 C2(383,509) = 1.808875551377522359 C3(383,509) = 8.408146079681882056 C4(383,509) = 4072 Sum = 3784.966221422457543 Averaged sum = 0.3781562814889057391 logp*logq = 37.07081887069202711 -------------- ************************************* p = 383; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14449267727931337.75 -------------- Searches starting with [383,521]-exponents: u = 1, v = 19 n_start has 55 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(383,521) = 0.9656922982455254230 D2(383,521) = 0.1443923660520135774 C1(383,521) = 1.384554137853666677 C2(383,521) = 1.908875011296687001 C3(383,521) = 11.80761145990299063 C4(383,521) = 4168 Sum = 4413.505097861164422 Averaged sum = 0.4409536514997666522 logp*logq = 37.20942013191731350 -------------- ************************************* p = 383; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14782339200701388.27 -------------- Searches starting with [383,523]-exponents: u = 1, v = 19 n_start has 55 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(383,523) = 0.7823245018670475137 D2(383,523) = 0.01812450576708573491 C1(383,523) = 1.040733339991641800 C2(383,523) = 1.804805318712349458 C3(383,523) = 6.396116040086792275 C4(383,523) = 4184 Sum = 3780.327693250493172 Averaged sum = 0.3776928457638618416 logp*logq = 37.23220956588477588 -------------- ************************************* p = 383; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18078107526022034.01 -------------- Searches starting with [383,541]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(383,541) = 0.5418565251394788413 D2(383,541) = 0.1397783802787525179 C1(383,541) = 0.8762087345068138297 C2(383,541) = 1.955192849422074085 C3(383,541) = 4.769939133073623264 C4(383,541) = 4328 Sum = 4215.930723608681476 Averaged sum = 0.4212139797790669873 logp*logq = 37.43347807216290061 -------------- ************************************* p = 383; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19303871456453872.70 -------------- Searches starting with [383,547]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(383,547) = 0.6505296190832412736 D2(383,547) = 0.04216551146296158687 C1(383,547) = 0.9426883975592365602 C2(383,547) = 1.885059969462337409 C3(383,547) = 5.370230509552562824 C4(383,547) = 4376 Sum = 3762.968009697745202 Averaged sum = 0.3759584383752368070 logp*logq = 37.49908206430396555 -------------- ************************************* p = 383; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21500213677102745.21 -------------- Searches starting with [383,557]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(383,557) = 0.6696104477179109987 D2(383,557) = 0.1382018284439974169 C1(383,557) = 1.091024605423238487 C2(383,557) = 1.375017854955714845 C3(383,557) = 6.996173291764390733 C4(383,557) = 4456 Sum = 4095.221291432803193 Averaged sum = 0.4091538906417027868 logp*logq = 37.60683926846481124 -------------- ************************************* p = 383; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22915016305588728.00 -------------- Searches starting with [383,563]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(383,563) = 0.6024232503702731161 D2(383,563) = 0.06675800875588924837 C1(383,563) = 0.8173745653880386714 C2(383,563) = 1.942556142774479819 C3(383,563) = 4.294901567580930764 C4(383,563) = 4504 Sum = 4070.488764157217254 Averaged sum = 0.4066828618400656662 logp*logq = 37.67056882443986894 -------------- ************************************* p = 383; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24406424442129904.08 -------------- Searches starting with [383,569]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(383,569) = 1.002135105253528870 D2(383,569) = 0.08806982357739692348 C1(383,569) = 1.646636771921994202 C2(383,569) = 1.115139574615472674 C3(383,569) = 18.84134510406863244 C4(383,569) = 4552 Sum = 1527.075617321781445 Averaged sum = 0.1525702485085204761 logp*logq = 37.73362278936192253 -------------- ************************************* p = 383; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24921146848569188.71 -------------- Searches starting with [383,571]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(383,571) = 0.6897517412587026197 D2(383,571) = 0.1236992871372884281 C1(383,571) = 1.133333350868238871 C2(383,571) = 1.355897672369890015 C3(383,571) = 7.544376091651264892 C4(383,571) = 4568 Sum = 4091.489701014750059 Averaged sum = 0.4087810671410480626 logp*logq = 37.75449310898163583 -------------- ************************************* p = 383; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26519806315955724.46 -------------- Searches starting with [383,577]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(383,577) = 0.8521871029921932277 D2(383,577) = 0.03418195609502257802 C1(383,577) = 1.294684235861490910 C2(383,577) = 1.945388044278325684 C3(383,577) = 10.05933292843427552 C4(383,577) = 4616 Sum = 3733.002624179434404 Averaged sum = 0.3729645942830886606 logp*logq = 37.81666825688175776 -------------- ************************************* p = 383; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29373540623318400.13 -------------- Searches starting with [383,587]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(383,587) = 0.7787692135257342113 D2(383,587) = 0.09995958895544941680 C1(383,587) = 1.291534059182878338 C2(383,587) = 1.276575685555934141 C3(383,587) = 10.00298847925698151 C4(383,587) = 4696 Sum = 4024.286902254726937 Averaged sum = 0.4020668300784021318 logp*logq = 37.91887068523256131 -------------- ************************************* p = 383; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31205154922664329.67 -------------- Searches starting with [383,593]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(383,593) = 0.7097537911785037457 D2(383,593) = 0.1184206395203502499 C1(383,593) = 1.004720639807334716 C2(383,593) = 1.786488202892312680 C3(383,593) = 5.998312018566060362 C4(383,593) = 4744 Sum = 4368.722404245761165 Averaged sum = 0.4364794089565152528 logp*logq = 37.97935969795875729 -------------- ************************************* p = 383; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33130799745706471.83 -------------- Searches starting with [383,599]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(383,599) = 1.059046452920167661 D2(383,599) = 0.05477815193790603075 C1(383,599) = 1.439542816179116559 C2(383,599) = 2.007265986892605383 C3(383,599) = 13.02398327866372818 C4(383,599) = 4792 Sum = 4157.436654378240413 Averaged sum = 0.4153698325884943963 logp*logq = 38.03923975055402755 -------------- ************************************* p = 383; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33794232684667589.92 -------------- Searches starting with [383,601]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(383,601) = 0.9489690808059317791 D2(383,601) = 0.07623046248189665045 C1(383,601) = 1.345919531676435523 C2(383,601) = 2.029251799937415897 C3(383,601) = 11.02159473894963458 C4(383,601) = 4808 Sum = 5078.465458280550212 Averaged sum = 0.5073898949226246590 logp*logq = 38.05906655220945965 -------------- ************************************* p = 383; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35851201584407284.83 -------------- Searches starting with [383,607]-exponents: u = 1, v = 12 n_start has 36 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(383,607) = 1.308900695435150672 D2(383,607) = 0.09349253292606837580 C1(383,607) = 1.764909387917356768 C2(383,607) = 1.325687165449786353 C3(383,607) = 23.26478726392790922 C4(383,607) = 4856 Sum = 4464.677759104347377 Averaged sum = 0.4460663162258314893 logp*logq = 38.11815347839344108 -------------- ************************************* p = 383; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38011274662659701.54 -------------- Searches starting with [383,613]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(383,613) = 0.6451138977599804213 D2(383,613) = 0.1020581817397194290 C1(383,613) = 0.9548634740807581479 C2(383,613) = 1.802736714124460838 C3(383,613) = 5.488086961560130050 C4(383,613) = 4904 Sum = 3813.947135119174167 Averaged sum = 0.3810517669216878976 logp*logq = 38.17665921227878077 -------------- ************************************* p = 383; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39510614612785523.85 -------------- Searches starting with [383,617]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(383,617) = 0.7925674862937599415 D2(383,617) = 0.09094802242680959414 C1(383,617) = 1.047418953217656409 C2(383,617) = 1.660723645025445862 C3(383,617) = 6.472819492920388837 C4(383,617) = 4936 Sum = 3389.263730254068872 Averaged sum = 0.3386216135731910153 logp*logq = 38.21534575509215097 -------------- ************************************* p = 383; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40278534370530985.45 -------------- Searches starting with [383,619]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(383,619) = 0.6195988053884785639 D2(383,619) = 0.01231832566484568850 C1(383,619) = 0.8823486685658298869 C2(383,619) = 2.010063256561311134 C3(383,619) = 4.822446736150481338 C4(383,619) = 4952 Sum = 4162.251541400721846 Averaged sum = 0.4158508883405656755 logp*logq = 38.23459507606457502 -------------- ************************************* p = 383; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45151543324305344.56 -------------- Searches starting with [383,631]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(383,631) = 0.7175398639437096613 D2(383,631) = 0.08050320494736737066 C1(383,631) = 1.216347873476831114 C2(383,631) = 1.332057996042639949 C3(383,631) = 8.747975896428083864 C4(383,631) = 5048 Sum = 4202.051214726179561 Averaged sum = 0.4198272769233869079 logp*logq = 38.34880085634464027 -------------- ************************************* p = 383; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49578087456241583.40 -------------- Searches starting with [383,641]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(383,641) = 0.5890848338287601316 D2(383,641) = 0.08041913042600906043 C1(383,641) = 0.9154368209607269666 C2(383,641) = 1.819272225280887261 C3(383,641) = 5.115522844303464267 C4(383,641) = 5128 Sum = 4080.450743841855402 Averaged sum = 0.4076781640365526428 logp*logq = 38.44232534586933395 -------------- ************************************* p = 383; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50505319630962841.11 -------------- Searches starting with [383,643]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(383,643) = 0.7755667750822818962 D2(383,643) = 0.07260990086599303429 C1(383,643) = 1.205183472286777611 C2(383,643) = 1.674491383317367920 C3(383,643) = 8.575553509051021092 C4(383,643) = 5144 Sum = 3114.379301971894250 Averaged sum = 0.3111578880979013139 logp*logq = 38.46085506487119958 -------------- ************************************* p = 383; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52403104034616216.66 -------------- Searches starting with [383,647]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(383,647) = 0.7481796505196270156 D2(383,647) = 0.06974408460587742057 C1(383,647) = 1.117636762432350910 C2(383,647) = 1.672698232463755435 C3(383,647) = 7.336151775625935253 C4(383,647) = 5176 Sum = 3938.991056248419517 Averaged sum = 0.3935449152011609068 logp*logq = 38.49774222178505826 -------------- ************************************* p = 383; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55360766397472793.28 -------------- Searches starting with [383,653]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(383,653) = 0.6271016759990861320 D2(383,653) = 0.04030287509141538666 C1(383,653) = 0.8787915694675119335 C2(383,653) = 2.092542644388269628 C3(383,653) = 4.791957043276463064 C4(383,653) = 5224 Sum = 4307.035998042185844 Averaged sum = 0.4303163151206100353 logp*logq = 38.55264755000925912 -------------- ************************************* p = 383; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58455997598603185.86 -------------- Searches starting with [383,659]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(383,659) = 0.8967033393449456435 D2(383,659) = 0.05053847469498914195 C1(383,659) = 1.540138646409088163 C2(383,659) = 1.190778739178059921 C3(383,659) = 15.58269522461179192 C4(383,659) = 5272 Sum = 3878.962128186637044 Averaged sum = 0.3875474201405372209 logp*logq = 38.60705068831918483 -------------- ************************************* p = 383; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59519182506061319.16 -------------- Searches starting with [383,661]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(383,661) = 0.8847710900123579239 D2(383,661) = 0.06648625118680310618 C1(383,661) = 1.214873617837727295 C2(383,661) = 1.845434246926203230 C3(383,661) = 8.725010398421666866 C4(383,661) = 5288 Sum = 4544.536050600857303 Averaged sum = 0.4540449645919529726 logp*logq = 38.62507505056400319 -------------- ************************************* p = 383; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66241865104392170.78 -------------- Searches starting with [383,673]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(383,673) = 0.6057742992290206159 D2(383,673) = 0.05770165082046365177 C1(383,673) = 0.8383413887260302215 C2(383,673) = 1.839899810835341451 C3(383,673) = 4.458506125071785860 C4(383,673) = 5384 Sum = 3985.740636168312000 Averaged sum = 0.3982156695142683585 logp*logq = 38.73208906136050061 -------------- ************************************* p = 383; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68618376944762014.90 -------------- Searches starting with [383,677]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(383,677) = 0.6697981248422244474 D2(383,677) = 0.05042551447882636579 C1(383,677) = 0.9274811215745548152 C2(383,677) = 1.689696744174496454 C3(383,677) = 5.226570535570023603 C4(383,677) = 5416 Sum = 4235.402084466207292 Averaged sum = 0.4231593650181044352 logp*logq = 38.76733677925977077 -------------- ************************************* p = 383; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72315854045070580.20 -------------- Searches starting with [383,683]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(383,683) = 0.7064999685980820494 D2(383,683) = 0.04407811176790971589 C1(383,683) = 0.9948046973028893524 C2(383,683) = 1.597116070457517815 C3(383,683) = 5.893189545949293983 C4(383,683) = 5464 Sum = 4340.334056148728359 Averaged sum = 0.4336431268007521590 logp*logq = 38.81981978143468595 -------------- ************************************* p = 383; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77502333145920081.50 -------------- Searches starting with [383,691]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(383,691) = 0.7258693757508821672 D2(383,691) = 0.02832998847293033968 C1(383,691) = 1.265783356758540478 C2(383,691) = 2.143137574269840097 C3(383,691) = 9.554085130148030570 C4(383,691) = 5528 Sum = 4188.306880581913345 Averaged sum = 0.4184540793867432656 logp*logq = 38.88908443592548310 -------------- ************************************* p = 383; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84417082807460699.66 -------------- Searches starting with [383,701]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(383,701) = 0.6218719976615394691 D2(383,701) = 0.03942327444621842642 C1(383,701) = 0.8875043602717579682 C2(383,701) = 1.869152882986752394 C3(383,701) = 4.866983463779408718 C4(383,701) = 5608 Sum = 3606.548890599306953 Averaged sum = 0.3603305915275558950 logp*logq = 38.97454617896388559 -------------- ************************************* p = 383; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90311602526014458.16 -------------- Searches starting with [383,709]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(383,709) = 0.8026967378360060846 D2(383,709) = 0.03415075374311858736 C1(383,709) = 1.215670264047458273 C2(383,709) = 1.865970858991032529 C3(383,709) = 8.737412809277042811 C4(383,709) = 5672 Sum = 3841.268524872720928 Averaged sum = 0.3837814491830073861 logp*logq = 39.04204233573984638 -------------- ************************************* p = 383; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98157478732976693.57 -------------- Searches starting with [383,719]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(383,719) = 0.9219384792376727575 D2(383,719) = 0.02544645943534814995 C1(383,719) = 1.283762341333497928 C2(383,719) = 1.708086727184087991 C3(383,719) = 9.865328613454476924 C4(383,719) = 5752 Sum = 4662.928671989383786 Averaged sum = 0.4658735809760599247 logp*logq = 39.12534950970409528 -------------- ************************************* p = 383; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104835120455512659.9 -------------- Searches starting with [383,727]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(383,727) = 0.6303070518233371131 D2(383,727) = 0.01973025954917833084 C1(383,727) = 0.8930995717011129137 C2(383,727) = 1.612279331346708085 C3(383,727) = 4.915782443841578667 C4(383,727) = 5816 Sum = 4172.611173378475552 Averaged sum = 0.4168859200098387003 logp*logq = 39.19116522950815875 -------------- ************************************* p = 383; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110087672232276304.6 -------------- Searches starting with [383,733]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(383,733) = 0.7373156210314869747 D2(383,733) = 0.01497871244138333530 C1(383,733) = 1.057120778386638068 C2(383,733) = 1.457392240764523381 C3(383,733) = 6.585766558695835461 C4(383,733) = 5864 Sum = 3577.566485627515352 Averaged sum = 0.3574349571013603109 logp*logq = 39.24005346354451431 -------------- ************************************* p = 383; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115557327966290899.6 -------------- Searches starting with [383,739]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(383,739) = 0.8335083241404131572 D2(383,739) = 0.001623684300838197224 C1(383,739) = 1.479109131423146668 C2(383,739) = 2.190696788490264617 C3(383,739) = 13.97600143461988574 C4(383,739) = 5912 Sum = 4044.257105758474559 Averaged sum = 0.4040620547265935217 logp*logq = 39.28854314776208080 -------------- ************************************* p = 383; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119327878036374141.2 -------------- Searches starting with [383,743]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(383,743) = 1.011481698073671940 D2(383,743) = 0.01216236035542582776 C1(383,743) = 1.794746335549233898 C2(383,743) = 1.124019530854532116 C3(383,743) = 24.53601495303702957 C4(383,743) = 5944 Sum = 3671.592315505731014 Averaged sum = 0.3668290853737367383 logp*logq = 39.32065137681933588 -------------- ************************************* p = 383; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 127176527206949430.1 -------------- Searches starting with [383,751]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(383,751) = 1.320603890805777476 D2(383,751) = 0.008677699565834421557 C1(383,751) = 1.898089005075368095 C2(383,751) = 1.898526555906168804 C3(383,751) = 29.50053240247109651 C4(383,751) = 6008 Sum = 6220.908245542796458 Averaged sum = 0.6215314462526522587 logp*logq = 39.38435249425155341 -------------- ************************************* p = 383; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 133340791419756028.0 -------------- Searches starting with [383,757]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(383,757) = 0.5977388003585926523 D2(383,757) = 0.005164282970789366070 C1(383,757) = 0.8258259415252544644 C2(383,757) = 1.896512514723691182 C3(383,757) = 4.360112918219732468 C4(383,757) = 6056 Sum = 4069.159823019113192 Averaged sum = 0.4065500872234102499 logp*logq = 39.43168458743438773 -------------- ************************************* p = 383; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 137586795510627285.9 -------------- Searches starting with [383,761]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(383,761) = 0.9505091587955824970 D2(383,761) = 0.002853643559683743177 C1(383,761) = 1.453825710786979620 C2(383,761) = 1.895194741540964693 C3(383,761) = 13.35992823477520790 C4(383,761) = 6088 Sum = 4081.248986380159398 Averaged sum = 0.4077579165131541011 logp*logq = 39.46303135294638549 -------------- ************************************* p = 383; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 146416777884535003.7 -------------- Searches starting with [383,769]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(383,769) = 0.8798539862357041186 D2(383,769) = 0.1393147314349558930 C1(383,769) = 1.195969715662363136 C2(383,769) = 1.411584749475463571 C3(383,769) = 8.435819372254080243 C4(383,769) = 6152 Sum = 4150.243705091337797 Averaged sum = 0.4146511844431349582 logp*logq = 39.52523359290791143 -------------- ************************************* p = 383; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 151005471899332627.8 -------------- Searches starting with [383,773]-exponents: u = 19, v = 8 n_start has 73 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(383,773) = 0.7320385921200655328 D2(383,773) = 0.1370326071155484637 C1(383,773) = 0.9889103750497939263 C2(383,773) = 1.411224001145318694 C3(383,773) = 5.831576843208878190 C4(383,773) = 6184 Sum = 4099.592076541660780 Averaged sum = 0.4095905761356439983 logp*logq = 39.55609246881296310 -------------- ************************************* p = 383; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168019247705928714.5 -------------- Searches starting with [383,787]-exponents: u = 28, v = 8 n_start has 96 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(383,787) = 0.6759406247397050526 D2(383,787) = 0.06935482552530982575 C1(383,787) = 1.009728988567808775 C2(383,787) = 1.806631479242307030 C3(383,787) = 6.052117981174658711 C4(383,787) = 6296 Sum = 3823.573768642273210 Averaged sum = 0.3820135646560368878 logp*logq = 39.66285493742948697 -------------- ************************************* p = 383; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 181123839268484409.5 -------------- Searches starting with [383,797]-exponents: u = 73, v = 8 n_start has 212 digits starting right neighbors generation We generated 2926 left neighbors We generated 7084 right neighbors We generated 10009 non-negative rho_i D1(383,797) = 0.5319742304364253485 D2(383,797) = 0.01862825961578128925 C1(383,797) = 0.7472270073762102275 C2(383,797) = 1.758213951122192960 C3(383,797) = 3.789944095906643121 C4(383,797) = 6376 Sum = 4231.186416158704555 Averaged sum = 0.4227381772563397497 logp*logq = 39.73795738707542485 -------------- ************************************* p = 383; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 197960960937273190.7 -------------- Searches starting with [383,809]-exponents: u = 9, v = 167 n_start has 509 digits --- performed 5000 steps in the continued fraction search [383,809]-exponents: u = 35, v = 115 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(383,809) = 0.5065900137877470788 D2(383,809) = 0.1548405048867896140 C1(383,809) = 0.6926956146498708014 C2(383,809) = 1.471541698204265511 C3(383,809) = 3.438785902493656870 C4(383,809) = 6472 Sum = 4769.945884924703105 Averaged sum = 0.4770422927217424848 logp*logq = 39.82684623918178676 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(383,809) = 0.5065900137877470788 D2(383,809) = 0.1548405048867896140 C1(383,809) = 0.6926956146498708014 C2(383,809) = 1.471541698204265511 C3(383,809) = 3.438785902493656870 C4(383,809) = 6472 Sum = 4769.945884924703105 Averaged sum = 0.4770422927217424848 logp*logq = 39.82684623918178676 -------------- ************************************* p = 383; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200889771649409665.9 -------------- Searches starting with [383,811]-exponents: u = 9, v = 103 n_start has 323 digits --- performed 5000 steps in the continued fraction search [383,811]-exponents: u = 23, v = 30 --- starting right neighbors generation We generated 6780 left neighbors We generated 3230 right neighbors We generated 10009 non-negative rho_i D1(383,811) = 0.8603479519486086040 D2(383,811) = 0.01969397291785685549 C1(383,811) = 1.178068151281627119 C2(383,811) = 1.684433189083963664 C3(383,811) = 8.170803659362823319 C4(383,811) = 6488 Sum = 4472.282815845627237 Averaged sum = 0.4468261380603084460 logp*logq = 39.84153275278943677 -------------- ************************************* p = 383; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 216080247699842169.7 -------------- Searches starting with [383,821]-exponents: u = 9, v = 39 n_start has 137 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(383,821) = 1.035076667829058785 D2(383,821) = 0.03020333388138744362 C1(383,821) = 1.522792869516555064 C2(383,821) = 1.569371877187830370 C3(383,821) = 15.10812141555393381 C4(383,821) = 6568 Sum = 3639.448867562063981 Averaged sum = 0.3636176308884068319 logp*logq = 39.91442625072834878 -------------- ************************************* p = 383; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 219230122885163621.5 -------------- Searches starting with [383,823]-exponents: u = 9, v = 31 n_start has 114 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(383,823) = 0.7155939896166906221 D2(383,823) = 0.03809683545924820070 C1(383,823) = 1.007609757782417269 C2(383,823) = 1.632087096502127981 C3(383,823) = 6.029291890428843325 C4(383,823) = 6584 Sum = 4195.825008593736596 Averaged sum = 0.4192052161648253168 logp*logq = 39.92889836246438535 -------------- ************************************* p = 383; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 225644551814045988.5 -------------- Searches starting with [383,827]-exponents: u = 9, v = 23 n_start has 91 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(383,827) = 0.9757884578674841944 D2(383,827) = 0.05453494999721760798 C1(383,827) = 1.356979853381768954 C2(383,827) = 1.722623088732712294 C3(383,827) = 11.24111157001220033 C4(383,827) = 6616 Sum = 4612.438979295973910 Averaged sum = 0.4608291516930736247 logp*logq = 39.95773737648293460 -------------- ************************************* p = 383; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 228909841966799620.8 -------------- Searches starting with [383,829]-exponents: u = 9, v = 23 n_start has 91 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(383,829) = 0.6083394172022380072 D2(383,829) = 0.06209947674752856173 C1(383,829) = 0.8512276666307716026 C2(383,829) = 1.730590809602037409 C3(383,829) = 4.562135287876903080 C4(383,829) = 6632 Sum = 4199.016353510288323 Averaged sum = 0.4195240636937044982 logp*logq = 39.97210461774172337 -------------- ************************************* p = 383; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 245832016197986397.8 -------------- Searches starting with [383,839]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(383,839) = 0.6389211898610754573 D2(383,839) = 0.1091843518260621544 C1(383,839) = 0.8847267145744177807 C2(383,839) = 1.887639689506371846 C3(383,839) = 4.842938292513550320 C4(383,839) = 6712 Sum = 4089.182040633720158 Averaged sum = 0.4085505086056269515 logp*logq = 40.04342483660349779 -------------- ************************************* p = 383; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 271261019017825949.3 -------------- Searches starting with [383,853]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(383,853) = 1.117273582261641698 D2(383,853) = 0.1107520763556292641 C1(383,853) = 1.605844657066729121 C2(383,853) = 1.908697786255167000 C3(383,853) = 17.51957517658420479 C4(383,853) = 6824 Sum = 5400.418749639325393 Averaged sum = 0.5395562743170471968 logp*logq = 40.14185792204745093 -------------- ************************************* p = 383; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278915436854642393.0 -------------- Searches starting with [383,857]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(383,857) = 0.7956822630842402434 D2(383,857) = 0.09062995175990289928 C1(383,857) = 1.098101241535597858 C2(383,857) = 1.889452661075777486 C3(383,857) = 7.085010819239747793 C4(383,857) = 6856 Sum = 4227.456552249019400 Averaged sum = 0.4223655262512757918 logp*logq = 40.16968503707890949 -------------- ************************************* p = 383; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 282809501631161305.2 -------------- Searches starting with [383,859]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(383,859) = 0.9906658679402609799 D2(383,859) = 0.08104212380115057704 C1(383,859) = 1.381311944658443577 C2(383,859) = 1.880301777279813721 C3(383,859) = 11.73954825520169818 C4(383,859) = 6872 Sum = 4751.046776251973713 Averaged sum = 0.4746774679040836960 logp*logq = 40.18354992678156482 -------------- ************************************* p = 383; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 290733409588003038.5 -------------- Searches starting with [383,863]-exponents: u = 25, v = 7 n_start has 86 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(383,863) = 0.7102365605214668864 D2(383,863) = 0.06269933548868616514 C1(383,863) = 1.103664302875104397 C2(383,863) = 1.862829790464336122 C3(383,863) = 7.155638715405628911 C4(383,863) = 6904 Sum = 3522.108570529810030 Averaged sum = 0.3518941523158966960 logp*logq = 40.21118312393509754 -------------- ************************************* p = 383; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 319937063582692077.1 -------------- Searches starting with [383,877]-exponents: u = 41, v = 7 n_start has 127 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(383,877) = 0.6139510423560820777 D2(383,877) = 0.005496300966139067444 C1(383,877) = 0.8572306886414924508 C2(383,877) = 1.808642648429050275 C3(383,877) = 4.611229538899862034 C4(383,877) = 7016 Sum = 4198.457883681184811 Averaged sum = 0.4194682669278833861 logp*logq = 40.30690069505704965 -------------- ************************************* p = 383; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 328715168914187068.1 -------------- Searches starting with [383,881]-exponents: u = 57, v = 7 n_start has 168 digits starting right neighbors generation We generated 1661 left neighbors We generated 8349 right neighbors We generated 10009 non-negative rho_i D1(383,881) = 0.7208615144767099849 D2(383,881) = 0.03789225057046379881 C1(383,881) = 1.038774868432959908 C2(383,881) = 1.737949375868403963 C3(383,881) = 6.373819282661851628 C4(383,881) = 7048 Sum = 3530.157059728169581 Averaged sum = 0.3526982775230462165 logp*logq = 40.33396802271864047 -------------- ************************************* p = 383; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 333178786157810701.1 -------------- Searches starting with [383,883]-exponents: u = 65, v = 7 n_start has 189 digits starting right neighbors generation We generated 2152 left neighbors We generated 7858 right neighbors We generated 10009 non-negative rho_i D1(383,883) = 0.6023710642730291468 D2(383,883) = 0.02370340867552486490 C1(383,883) = 0.8596697357269762126 C2(383,883) = 1.724171413830605789 C3(383,883) = 4.631327306219154877 C4(383,883) = 7064 Sum = 3611.183794119856741 Averaged sum = 0.3607936651133836288 logp*logq = 40.34745563618317859 -------------- ************************************* p = 383; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 342257391595712398.3 -------------- Searches starting with [383,887]-exponents: u = 97, v = 7 n_start has 272 digits starting right neighbors generation We generated 4480 left neighbors We generated 5530 right neighbors We generated 10009 non-negative rho_i D1(383,887) = 0.7704858818547096555 D2(383,887) = 0.02331326019360680482 C1(383,887) = 1.070794090381841791 C2(383,887) = 1.652521883855214122 C3(383,887) = 6.748303138473852801 C4(383,887) = 7096 Sum = 4159.699017541571577 Averaged sum = 0.4155958654752294512 logp*logq = 40.37433945591166182 -------------- ************************************* p = 383; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 390797365825359087.2 -------------- Searches starting with [383,907]-exponents: u = 8, v = 62 n_start has 205 digits starting right neighbors generation We generated 2590 left neighbors We generated 7420 right neighbors We generated 10009 non-negative rho_i D1(383,907) = 0.8586553974015289148 D2(383,907) = 0.001744221831994426913 C1(383,907) = 1.209050899739613996 C2(383,907) = 1.730618779361505808 C3(383,907) = 8.634893680043287065 C4(383,907) = 7256 Sum = 4764.470581535901167 Averaged sum = 0.4760186413763514005 logp*logq = 40.50696557458924452 -------------- ************************************* p = 383; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 401161140517148843.0 -------------- Searches starting with [383,911]-exponents: u = 8, v = 48 n_start has 163 digits starting right neighbors generation We generated 1582 left neighbors We generated 8428 right neighbors We generated 10009 non-negative rho_i D1(383,911) = 0.5361793826395979553 D2(383,911) = 0.02477790970005813732 C1(383,911) = 0.7747601162449958273 C2(383,911) = 1.754343883205433850 C3(383,911) = 3.980647437279697035 C4(383,911) = 7288 Sum = 3963.300654362796230 Averaged sum = 0.3959736891160751553 logp*logq = 40.53313958817468417 -------------- ************************************* p = 383; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 422575530845570559.0 -------------- Searches starting with [383,919]-exponents: u = 8, v = 27 n_start has 101 digits starting right neighbors generation We generated 490 left neighbors We generated 9520 right neighbors We generated 10009 non-negative rho_i D1(383,919) = 0.7322317506659007318 D2(383,919) = 0.07545878271081601250 C1(383,919) = 1.088610034583272643 C2(383,919) = 1.806398375382389768 C3(383,919) = 6.966117225842053808 C4(383,919) = 7352 Sum = 4065.246405825009532 Averaged sum = 0.4061590973948455921 logp*logq = 40.58514459696236095 -------------- ************************************* p = 383; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 450672766699605771.4 -------------- Searches starting with [383,929]-exponents: u = 8, v = 20 n_start has 81 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(383,929) = 0.8110858749897716563 D2(383,929) = 0.02472256817195100604 C1(383,929) = 1.173638219735080230 C2(383,929) = 1.757862504046651956 C3(383,929) = 8.106518031841463537 C4(383,929) = 7432 Sum = 4069.936442736316730 Averaged sum = 0.4066276793622056878 logp*logq = 40.64951789832992820 -------------- ************************************* p = 383; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 474254068565420693.8 -------------- Searches starting with [383,937]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(383,937) = 0.6087657711346783858 D2(383,937) = 0.04989769913729071026 C1(383,937) = 0.9549524886884401490 C2(383,937) = 1.901632932200464303 C3(383,937) = 5.488958091442404146 C4(383,937) = 7496 Sum = 3946.780817684452019 Averaged sum = 0.3943231908966382275 logp*logq = 40.70051958263560071 -------------- ************************************* p = 383; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 486424144338364995.7 -------------- Searches starting with [383,941]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(383,941) = 0.6253727354712977662 D2(383,941) = 0.06214536818928951347 C1(383,941) = 0.8680400172001211413 C2(383,941) = 1.914605926036344872 C3(383,941) = 4.700966960978465731 C4(383,941) = 7528 Sum = 4170.918052612761858 Averaged sum = 0.4167167601771167807 logp*logq = 40.72585736318422185 -------------- ************************************* p = 383; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 505165653732918599.1 -------------- Searches starting with [383,947]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(383,947) = 0.8915141624729312972 D2(383,947) = 0.08122834872016688824 C1(383,947) = 1.291893804424406956 C2(383,947) = 1.934771023880138823 C3(383,947) = 10.00940693132178568 C4(383,947) = 7576 Sum = 3888.201736537224955 Averaged sum = 0.3884705501585797737 logp*logq = 40.76366279759078588 -------------- ************************************* p = 383; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 524504005355967859.3 -------------- Searches starting with [383,953]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(383,953) = 0.6828725586203407172 D2(383,953) = 0.08967484466878631320 C1(383,953) = 1.132580957736823204 C2(383,953) = 1.398106789711301807 C3(383,953) = 7.534261623584219024 C4(383,953) = 7624 Sum = 4088.165705655578741 Averaged sum = 0.4084489664957117336 logp*logq = 40.80122945924022005 -------------- ************************************* p = 383; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 572033055255593324.8 -------------- Searches starting with [383,967]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(383,967) = 0.5743523418136849690 D2(383,967) = 0.07253589977698517417 C1(383,967) = 0.7812951607349261860 C2(383,967) = 1.950531069471470230 C3(383,967) = 4.027302758271922597 C4(383,967) = 7736 Sum = 3961.785933134608643 Averaged sum = 0.3958223531955848379 logp*logq = 40.88797317352914846 -------------- ************************************* p = 383; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 586252219390153105.7 -------------- Searches starting with [383,971]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(383,971) = 0.6526920184573214870 D2(383,971) = 0.05819613932312690302 C1(383,971) = 0.9749894656017450077 C2(383,971) = 1.936988005861967287 C3(383,971) = 5.688608149901445822 C4(383,971) = 7768 Sum = 3608.472647344631243 Averaged sum = 0.3605227942196654254 logp*logq = 40.91252650040414172 -------------- ************************************* p = 383; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 608131471120917763.6 -------------- Searches starting with [383,977]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(383,977) = 0.6032053002963343006 D2(383,977) = 0.03778090705977870136 C1(383,977) = 0.9512072631853000008 C2(383,977) = 1.917761599747075320 C3(383,977) = 5.452425138993817137 C4(383,977) = 7816 Sum = 3951.017086626727371 Averaged sum = 0.3947464368694901960 logp*logq = 40.94916748889759498 -------------- ************************************* p = 383; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 630685768303009217.3 -------------- Searches starting with [383,983]-exponents: u = 22, v = 6 n_start has 75 digits starting right neighbors generation We generated 305 left neighbors We generated 9705 right neighbors We generated 10009 non-negative rho_i D1(383,983) = 0.5547314876100640439 D2(383,983) = 0.01851244898717921944 C1(383,983) = 0.8747271028870536716 C2(383,983) = 1.899674586707813701 C3(383,983) = 4.757354350619701736 C4(383,983) = 7864 Sum = 4074.160784398627368 Averaged sum = 0.4070497336795511408 logp*logq = 40.98558414340261239 -------------- ************************************* p = 383; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 661836823686047927.2 -------------- Searches starting with [383,991]-exponents: u = 22, v = 6 n_start has 75 digits starting right neighbors generation We generated 200 left neighbors We generated 9810 right neighbors We generated 10009 non-negative rho_i D1(383,991) = 0.7126392717767687175 D2(383,991) = 0.1045560290964975409 C1(383,991) = 1.090014567189819490 C2(383,991) = 1.874895731534598690 C3(383,991) = 6.983584804744025215 C4(383,991) = 7928 Sum = 3557.037893607630912 Averaged sum = 0.3553839438113328916 logp*logq = 41.03379543056383536 -------------- ************************************* p = 383; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 686030972685738948.8 -------------- Searches starting with [383,997]-exponents: u = 29, v = 6 n_start has 93 digits starting right neighbors generation We generated 402 left neighbors We generated 9608 right neighbors We generated 10009 non-negative rho_i D1(383,997) = 0.5215100890054478041 D2(383,997) = 0.06528639468913377762 C1(383,997) = 0.7442695490948381224 C2(383,997) = 1.836750209583526638 C3(383,997) = 3.770011079471411679 C4(383,997) = 7976 Sum = 4147.750743702186666 Averaged sum = 0.4144021124689965696 logp*logq = 41.06969917130502012 -------------- ************************************* p = 389; q = 397; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3148425234017959.192 -------------- Searches starting with [389,397]-exponents: u = 1, v = 292 n_start has 762 digits --- performed 5000 steps in the continued fraction search [389,397]-exponents: u = 172, v = 104 --- starting right neighbors generation We generated 9694 left neighbors We generated 316 right neighbors We generated 10009 non-negative rho_i D1(389,397) = 0.9243285053124826791 D2(389,397) = 0.0005490325753291162475 C1(389,397) = 1.214734648316486090 C2(389,397) = 1.098218551413943489 C3(389,397) = 8.750547469410990203 C4(389,397) = 3176 Sum = 5234.812240929363514 Averaged sum = 0.5230105146297695588 logp*logq = 35.68567879703512180 -------------- ************************************* p = 389; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3342396816700911.696 -------------- Searches starting with [389,401]-exponents: u = 1, v = 196 n_start has 513 digits starting right neighbors generation We generated 4475 left neighbors We generated 5535 right neighbors We generated 10009 non-negative rho_i D1(389,401) = 0.6707051274892330456 D2(389,401) = 0.004656620946606695430 C1(389,401) = 0.8973971767682664222 C2(389,401) = 1.166329456100586780 C3(389,401) = 4.965211972984445239 C4(389,401) = 3208 Sum = 4913.475006375458952 Averaged sum = 0.4909056855205773755 logp*logq = 35.74546455433119535 -------------- ************************************* p = 389; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3760271221099053.421 -------------- Searches starting with [389,409]-exponents: u = 1, v = 118 n_start has 311 digits starting right neighbors generation We generated 1588 left neighbors We generated 8422 right neighbors We generated 10009 non-negative rho_i D1(389,409) = 0.9063779812248437546 D2(389,409) = 0.01392957478202135992 C1(389,409) = 1.244444935243266889 C2(389,409) = 1.267228760244362960 C3(389,409) = 9.227323794121555740 C4(389,409) = 3272 Sum = 5136.756461467345035 Averaged sum = 0.5132137537683429948 logp*logq = 35.86326748298203396 -------------- ************************************* p = 389; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4342915525210194.835 -------------- Searches starting with [389,419]-exponents: u = 1, v = 80 n_start has 213 digits starting right neighbors generation We generated 846 left neighbors We generated 9164 right neighbors We generated 10009 non-negative rho_i D1(389,419) = 0.6293281032052134621 D2(389,419) = 0.001412010786724015139 C1(389,419) = 0.8850560771130824516 C2(389,419) = 1.340740883727868708 C3(389,419) = 4.856989725591389746 C4(389,419) = 3352 Sum = 3890.035056605952906 Averaged sum = 0.3886537173150117800 logp*logq = 36.00732229748216663 -------------- ************************************* p = 389; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4468013725275682.189 -------------- Searches starting with [389,421]-exponents: u = 1, v = 75 n_start has 200 digits starting right neighbors generation We generated 724 left neighbors We generated 9286 right neighbors We generated 10009 non-negative rho_i D1(389,421) = 0.6761055879347779110 D2(389,421) = 0.008829078681221898554 C1(389,421) = 0.9161049809809204626 C2(389,421) = 1.361711646065900634 C3(389,421) = 5.133881346720206990 C4(389,421) = 3368 Sum = 4087.592179783736518 Averaged sum = 0.4083916654794421538 logp*logq = 36.03572034801884832 -------------- ************************************* p = 389; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5139421412084550.996 -------------- Searches starting with [389,431]-exponents: u = 1, v = 58 n_start has 156 digits starting right neighbors generation We generated 451 left neighbors We generated 9559 right neighbors We generated 10009 non-negative rho_i D1(389,431) = 0.6943799821427067138 D2(389,431) = 0.02191496348713962488 C1(389,431) = 0.9984725220737458494 C2(389,431) = 1.437557111086191373 C3(389,431) = 5.947335409987866010 C4(389,431) = 3448 Sum = 3414.930798513850525 Averaged sum = 0.3411860124401888825 logp*logq = 36.17571690229945510 -------------- ************************************* p = 389; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5283293754314294.595 -------------- Searches starting with [389,433]-exponents: u = 1, v = 55 n_start has 148 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(389,433) = 0.5610701804306185688 D2(389,433) = 0.03208262602335895820 C1(389,433) = 0.8088747731161425642 C2(389,433) = 1.458060194446478464 C3(389,433) = 4.239240446486387641 C4(389,433) = 3464 Sum = 4471.766613935597915 Averaged sum = 0.4467745642857026591 logp*logq = 36.20332611524082634 -------------- ************************************* p = 389; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5735177045518399.125 -------------- Searches starting with [389,439]-exponents: u = 1, v = 49 n_start has 133 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(389,439) = 0.7662387947767400373 D2(389,439) = 0.01837937167471226959 C1(389,439) = 1.038946384054715679 C2(389,439) = 1.478851144952529995 C3(389,439) = 6.393080828601942600 C4(389,439) = 3512 Sum = 3984.879561357618072 Averaged sum = 0.3981296394602475844 logp*logq = 36.28539501607365208 -------------- ************************************* p = 389; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6053946749424336.126 -------------- Searches starting with [389,443]-exponents: u = 1, v = 45 n_start has 122 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(389,443) = 0.7325288362790913574 D2(389,443) = 0.02211159602852797605 C1(389,443) = 1.072270460160554733 C2(389,443) = 1.502513388055490676 C3(389,443) = 6.785053082077351658 C4(389,443) = 3544 Sum = 4615.747079719293427 Averaged sum = 0.4611596642740826683 logp*logq = 36.33948680953897671 -------------- ************************************* p = 389; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6559662473579861.138 -------------- Searches starting with [389,449]-exponents: u = 1, v = 41 n_start has 112 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(389,449) = 0.6159435290304274443 D2(389,449) = 0.01390647548167812545 C1(389,449) = 0.8635170552349129050 C2(389,449) = 1.524224698834081526 C3(389,449) = 4.673728953733036912 C4(389,449) = 3592 Sum = 4395.046328251366257 Averaged sum = 0.4391094343342358134 logp*logq = 36.41971554434478128 -------------- ************************************* p = 389; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7288217194901696.874 -------------- Searches starting with [389,457]-exponents: u = 1, v = 37 n_start has 102 digits starting right neighbors generation We generated 218 left neighbors We generated 9792 right neighbors We generated 10009 non-negative rho_i D1(389,457) = 1.088322058949083034 D2(389,457) = 0.01774803660161471332 C1(389,457) = 1.622575087946017233 C2(389,457) = 1.563120140209649039 C3(389,457) = 18.12668307362803102 C4(389,457) = 3656 Sum = 2763.279429705583798 Averaged sum = 0.2760794714462567487 logp*logq = 36.52503535613966118 -------------- ************************************* p = 389; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7677004872195543.298 -------------- Searches starting with [389,461]-exponents: u = 1, v = 35 n_start has 96 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(389,461) = 0.7274608458568525798 D2(389,461) = 0.06813293067777213254 C1(389,461) = 1.089964659210581713 C2(389,461) = 1.623746754830552068 C3(389,461) = 7.002856465848554878 C4(389,461) = 3688 Sum = 2743.492885200384895 Averaged sum = 0.2741025961834733634 logp*logq = 36.57700587540461621 -------------- ************************************* p = 389; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7877777977906549.480 -------------- Searches starting with [389,463]-exponents: u = 1, v = 34 n_start has 94 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(389,463) = 0.8226335898803639152 D2(389,463) = 0.05242755628215145058 C1(389,463) = 1.119466102256212913 C2(389,463) = 1.618067241126043095 C3(389,463) = 7.381655969826271717 C4(389,463) = 3704 Sum = 4122.646332985843876 Averaged sum = 0.4118939287626979594 logp*logq = 36.60282227651676381 -------------- ************************************* p = 389; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8292452843689951.515 -------------- Searches starting with [389,467]-exponents: u = 1, v = 32 n_start has 89 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(389,467) = 0.6197641444699287801 D2(389,467) = 0.01148260994589244499 C1(389,467) = 0.8595617337081276236 C2(389,467) = 1.598503905234785764 C3(389,467) = 4.640835161852808754 C4(389,467) = 3736 Sum = 4354.201950660261637 Averaged sum = 0.4350286692636888437 logp*logq = 36.65412220011193489 -------------- ************************************* p = 389; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9647027171954591.217 -------------- Searches starting with [389,479]-exponents: u = 1, v = 28 n_start has 78 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(389,479) = 0.7752272201803769597 D2(389,479) = 0.05997112215785941506 C1(389,479) = 1.083628379094111992 C2(389,479) = 1.684828711112535910 C3(389,479) = 6.924069131488115873 C4(389,479) = 3832 Sum = 4536.613942768858458 Averaged sum = 0.4532534661573442360 logp*logq = 36.80542619771735874 -------------- ************************************* p = 389; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10648592271721838.02 -------------- Searches starting with [389,487]-exponents: u = 1, v = 26 n_start has 73 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(389,487) = 0.6837590296059784803 D2(389,487) = 0.05218966778674340706 C1(389,487) = 0.9884469715511825946 C2(389,487) = 1.705496545255911757 C3(389,487) = 5.841811607826836567 C4(389,487) = 3896 Sum = 4153.976040458076838 Averaged sum = 0.4150240823716731779 logp*logq = 36.90420409727045097 -------------- ************************************* p = 389; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11180931799745253.64 -------------- Searches starting with [389,491]-exponents: u = 1, v = 25 n_start has 70 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(389,491) = 0.6719356524831531981 D2(389,491) = 0.03607382133640871071 C1(389,491) = 0.9172881518940556283 C2(389,491) = 1.704777529002331268 C3(389,491) = 5.144739440368652305 C4(389,491) = 3928 Sum = 4281.075653659281164 Averaged sum = 0.4277226150124169412 logp*logq = 36.95298620440122297 -------------- ************************************* p = 389; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12312228897161106.40 -------------- Searches starting with [389,499]-exponents: u = 1, v = 23 n_start has 65 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(389,499) = 0.8655040438387858202 D2(389,499) = 0.09584883646481833629 C1(389,499) = 1.345642277172381546 C2(389,499) = 1.782039048329834192 C3(389,499) = 11.05490482209702096 C4(389,499) = 3992 Sum = 4206.114085187521402 Averaged sum = 0.4202331986399761616 logp*logq = 37.04936938266179998 -------------- ************************************* p = 389; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12912639638677639.93 -------------- Searches starting with [389,503]-exponents: u = 1, v = 23 n_start has 65 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(389,503) = 0.8160106305246409646 D2(389,503) = 0.05583182751259855715 C1(389,503) = 1.119845492806045701 C2(389,503) = 1.759315424472285398 C3(389,503) = 7.386658489897173265 C4(389,503) = 4024 Sum = 4333.591389065069527 Averaged sum = 0.4329694663867588697 logp*logq = 37.09698304352276191 -------------- ************************************* p = 389; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13858820051464948.72 -------------- Searches starting with [389,509]-exponents: u = 1, v = 22 n_start has 63 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(389,509) = 0.6101652395606068712 D2(389,509) = 0.04698036631312465783 C1(389,509) = 0.9576948604391807582 C2(389,509) = 1.769472756219823728 C3(389,509) = 5.529668161675040850 C4(389,509) = 4072 Sum = 4109.211415092224182 Averaged sum = 0.4105516450286965913 logp*logq = 37.16769825167645392 -------------- ************************************* p = 389; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15924922468875547.04 -------------- Searches starting with [389,521]-exponents: u = 1, v = 20 n_start has 57 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(389,521) = 0.6343634080364875260 D2(389,521) = 0.1407875136843335574 C1(389,521) = 0.8767798449787623439 C2(389,521) = 1.885303254138256878 C3(389,521) = 4.785737887173779136 C4(389,521) = 4168 Sum = 4162.341311580196326 Averaged sum = 0.4158598572864618170 logp*logq = 37.30666172784061188 -------------- ************************************* p = 389; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16292979734176082.44 -------------- Searches starting with [389,523]-exponents: u = 1, v = 20 n_start has 57 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(389,523) = 0.6978733504776649099 D2(389,523) = 0.02513171368872096395 C1(389,523) = 0.9472473039914353677 C2(389,523) = 1.790196659606409161 C3(389,523) = 5.427463564810521619 C4(389,523) = 4184 Sum = 4110.430901221374426 Averaged sum = 0.4106734839865495479 logp*logq = 37.32951071879448598 -------------- ************************************* p = 389; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19936033383722143.24 -------------- Searches starting with [389,541]-exponents: u = 1, v = 18 n_start has 52 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(389,541) = 0.7651029789059897500 D2(389,541) = 0.003049167114167420305 C1(389,541) = 1.229140604914889053 C2(389,541) = 1.818463636257488988 C3(389,541) = 8.978569429029611604 C4(389,541) = 4328 Sum = 3633.997932974280871 Averaged sum = 0.3630730275726127357 logp*logq = 37.53130521205897589 -------------- ************************************* p = 389; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21291421734221234.31 -------------- Searches starting with [389,547]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(389,547) = 1.060040726168382607 D2(389,547) = 0.08850790223141539687 C1(389,547) = 1.584251988472565465 C2(389,547) = 1.905623925570510131 C3(389,547) = 16.92772167082361569 C4(389,547) = 4376 Sum = 4438.063182884263870 Averaged sum = 0.4434072517618407303 logp*logq = 37.59708065102377848 -------------- ************************************* p = 389; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23720581015947693.96 -------------- Searches starting with [389,557]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(389,557) = 0.6071569876784930670 D2(389,557) = 0.05349069844881455071 C1(389,557) = 0.8493082416286685883 C2(389,557) = 1.899203215396812320 C3(389,557) = 4.556637584810708521 C4(389,557) = 4456 Sum = 4261.823437336420647 Averaged sum = 0.4257991245215726493 logp*logq = 37.70511946351035685 -------------- ************************************* p = 389; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25285703900979035.20 -------------- Searches starting with [389,563]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(389,563) = 0.6505471664082952377 D2(389,563) = 0.1202500437213443183 C1(389,563) = 1.060632359710593137 C2(389,563) = 1.377676836025367202 C3(389,563) = 6.645502432000688382 C4(389,563) = 4504 Sum = 4143.989519347289068 Averaged sum = 0.4140263282393135246 logp*logq = 37.76901556773337239 -------------- ************************************* p = 389; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26935844810610328.85 -------------- Searches starting with [389,569]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(389,569) = 0.7179895326690389500 D2(389,569) = 0.02465683448316484890 C1(389,569) = 1.045725647016707796 C2(389,569) = 1.902118535181229018 C3(389,569) = 6.470942804786008391 C4(389,569) = 4552 Sum = 3785.940307196155757 Averaged sum = 0.3782536024773859283 logp*logq = 37.83223431534100867 -------------- ************************************* p = 389; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27505411900721052.69 -------------- Searches starting with [389,571]-exponents: u = 1, v = 15 n_start has 44 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(389,571) = 0.8087029523312387543 D2(389,571) = 0.04850108276946428056 C1(389,571) = 1.077586703253313280 C2(389,571) = 1.926513394184831699 C3(389,571) = 6.849770698804593648 C4(389,571) = 4568 Sum = 3558.540633496079043 Averaged sum = 0.3555340826752002241 logp*logq = 37.85315917661119799 -------------- ************************************* p = 389; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29274604969841173.67 -------------- Searches starting with [389,577]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(389,577) = 0.8831905625678283091 D2(389,577) = 0.1096858624066258728 C1(389,577) = 1.207706966045334764 C2(389,577) = 1.382417502013723315 C3(389,577) = 8.641421881441663375 C4(389,577) = 4616 Sum = 4424.009395643929752 Averaged sum = 0.4420031367413257820 logp*logq = 37.91549681053198727 -------------- ************************************* p = 389; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32433438260110849.54 -------------- Searches starting with [389,587]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(389,587) = 1.024032748944279467 D2(389,587) = 0.03698704360580626811 C1(389,587) = 1.556529037501628221 C2(389,587) = 1.950915210580177456 C3(389,587) = 16.11013452966774059 C4(389,587) = 4696 Sum = 4046.446350966426937 Averaged sum = 0.4042807823924894531 logp*logq = 38.01796633058174326 -------------- ************************************* p = 389; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34461302503741025.98 -------------- Searches starting with [389,593]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(389,593) = 0.8161262962385999772 D2(389,593) = 0.1003936695978111232 C1(389,593) = 1.128628608518101119 C2(389,593) = 1.416969011160968579 C3(389,593) = 7.503422276869278535 C4(389,593) = 4744 Sum = 4508.629321803030430 Averaged sum = 0.4504575204119323039 logp*logq = 38.07861342285103522 -------------- ************************************* p = 389; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36593607571873271.70 -------------- Searches starting with [389,599]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(389,599) = 0.5969370338418464973 D2(389,599) = 0.1214332626486023003 C1(389,599) = 0.8061999591233599593 C2(389,599) = 1.790789153230089536 C3(389,599) = 4.219040682607582658 C4(389,599) = 4792 Sum = 3851.511082358451058 Averaged sum = 0.3848047839303078288 logp*logq = 38.13864996355758729 -------------- ************************************* p = 389; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37328316154046140.39 -------------- Searches starting with [389,601]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(389,601) = 0.6385467585862332883 D2(389,601) = 0.1195602512711197418 C1(389,601) = 0.8845663950340958050 C2(389,601) = 1.789490639671388197 C3(389,601) = 4.852744576524338518 C4(389,601) = 4808 Sum = 4122.039348188724682 Averaged sum = 0.4118332848624962216 logp*logq = 38.15852857977578855 -------------- ************************************* p = 389; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39606511098970032.34 -------------- Searches starting with [389,607]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(389,607) = 0.8357599947598884926 D2(389,607) = 0.03293758080513366458 C1(389,607) = 1.184722793241268720 C2(389,607) = 1.987548802595582058 C3(389,607) = 8.293938702620568982 C4(389,607) = 4856 Sum = 4377.759485406585660 Averaged sum = 0.4373823044666385912 logp*logq = 38.21776992134651780 -------------- ************************************* p = 389; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41999266625925804.61 -------------- Searches starting with [389,613]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(389,613) = 0.7371513445016695765 D2(389,613) = 0.08345800780004772322 C1(389,613) = 1.008881636723800455 C2(389,613) = 1.368414015846376013 C3(389,613) = 6.058913791722903381 C4(389,613) = 4904 Sum = 4304.731903501030079 Averaged sum = 0.4300861128485393225 logp*logq = 38.27642855175412267 -------------- ************************************* p = 389; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43660325284963970.89 -------------- Searches starting with [389,617]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(389,617) = 0.8083294926369197704 D2(389,617) = 0.08892176183809242137 C1(389,617) = 1.082065609191164997 C2(389,617) = 1.295560514359731369 C3(389,617) = 6.904773810071004658 C4(389,617) = 4936 Sum = 4153.382023814312616 Averaged sum = 0.4149647341207226113 logp*logq = 38.31521619641618038 -------------- ************************************* p = 389; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44511137015717063.76 -------------- Searches starting with [389,619]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(389,619) = 0.6991531635302941654 D2(389,619) = 0.1051251633174211186 C1(389,619) = 0.9816853821975788289 C2(389,619) = 1.807041793654703999 C3(389,619) = 5.771701835160633533 C4(389,619) = 4952 Sum = 3951.796371785616346 Averaged sum = 0.3948242953127801325 logp*logq = 38.33451582278667735 -------------- ************************************* p = 389; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49911112279137669.49 -------------- Searches starting with [389,631]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(389,631) = 0.9019964613944409724 D2(389,631) = 0.02436013532009704746 C1(389,631) = 1.338624662075482526 C2(389,631) = 2.025212444102638062 C3(389,631) = 10.91723850288731365 C4(389,631) = 5048 Sum = 3715.845738170941960 Averaged sum = 0.3712504484135220262 logp*logq = 38.44902006384088868 -------------- ************************************* p = 389; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54817669141764829.36 -------------- Searches starting with [389,641]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(389,641) = 0.8039222284740822962 D2(389,641) = 0.07138691299701583925 C1(389,641) = 1.363598190255360118 C2(389,641) = 1.262844592961036943 C3(389,641) = 11.41510588136337191 C4(389,641) = 5128 Sum = 4087.012482700885448 Averaged sum = 0.4083337478969812616 logp*logq = 38.54278896648965285 -------------- ************************************* p = 389; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55845598628513962.54 -------------- Searches starting with [389,643]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(389,643) = 0.6128352673226802408 D2(389,643) = 0.08673560246130216314 C1(389,643) = 1.039479979340821950 C2(389,643) = 1.825656739268016436 C3(389,643) = 6.399175222372798275 C4(389,643) = 5144 Sum = 3867.404160262944699 Averaged sum = 0.3863926626299275351 logp*logq = 38.56136711031086164 -------------- ************************************* p = 389; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57949635028254609.98 -------------- Searches starting with [389,647]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(389,647) = 0.5785871235109190421 D2(389,647) = 0.08354830557029701100 C1(389,647) = 0.8087633797113760137 C2(389,647) = 1.823570231395599698 C3(389,647) = 4.238397294731861266 C4(389,647) = 5176 Sum = 4198.177506267059152 Averaged sum = 0.4194402543977479420 logp*logq = 38.59835066663096368 -------------- ************************************* p = 389; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61229131876322859.86 -------------- Searches starting with [389,653]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(389,653) = 0.8632699080179151249 D2(389,653) = 0.07885979198153883735 C1(389,653) = 1.342181937845133548 C2(389,653) = 1.820519964622845291 C3(389,653) = 10.98680687172502150 C4(389,653) = 5224 Sum = 3385.905903626753541 Averaged sum = 0.3382861328431165492 logp*logq = 38.65339948222267216 -------------- ************************************* p = 389; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64661657146420408.89 -------------- Searches starting with [389,659]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(389,659) = 0.7748798541664416005 D2(389,659) = 0.0004841917047396870953 C1(389,659) = 1.036781794327541867 C2(389,659) = 2.054222286586140539 C3(389,659) = 6.368417701368119019 C4(389,659) = 5272 Sum = 3572.452416609763999 Averaged sum = 0.3569240100519296632 logp*logq = 38.70794479549726374 -------------- ************************************* p = 389; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65840810535089601.64 -------------- Searches starting with [389,661]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(389,661) = 0.9939753779968624919 D2(389,661) = 0.01524835341227695870 C1(389,661) = 1.450037768832237440 C2(389,661) = 2.069482852542341313 C3(389,661) = 13.32031338643745134 C4(389,661) = 5288 Sum = 3895.559346371495613 Averaged sum = 0.3892056495525522643 logp*logq = 38.72601626188248451 -------------- ************************************* p = 389; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73298016160139983.95 -------------- Searches starting with [389,673]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(389,673) = 0.6305772877491212570 D2(389,673) = 0.06524458867947925176 C1(389,673) = 0.8778416421622249609 C2(389,673) = 1.846933582166897317 C3(389,673) = 4.794820350865350667 C4(389,673) = 5384 Sum = 3921.645794306177837 Averaged sum = 0.3918119486768086559 logp*logq = 38.83330993877318902 -------------- ************************************* p = 389; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75934670863650375.40 -------------- Searches starting with [389,677]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(389,677) = 0.6296277872012825345 D2(389,677) = 0.06233849248045325988 C1(389,677) = 0.9216523180250116786 C2(389,677) = 1.845097719022656946 C3(389,677) = 5.184988838505743181 C4(389,677) = 5416 Sum = 3474.510346291179013 Averaged sum = 0.3471386098802256982 logp*logq = 38.86864977163498824 -------------- ************************************* p = 389; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80037360815927412.13 -------------- Searches starting with [389,683]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(389,683) = 0.6993510072398568209 D2(389,683) = 0.05805503723423473282 C1(389,683) = 1.006906294328187185 C2(389,683) = 1.842407588221177401 C3(389,683) = 6.037579764286739872 C4(389,683) = 5464 Sum = 3935.263778963812584 Averaged sum = 0.3931725226260178424 logp*logq = 38.92126993076833602 -------------- ************************************* p = 389; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85793153202005400.61 -------------- Searches starting with [389,691]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(389,691) = 0.6187920993473727011 D2(389,691) = 0.04824480663525820163 C1(389,691) = 0.8637494293991992333 C2(389,691) = 1.690550657854622059 C3(389,691) = 4.675668690877811019 C4(389,691) = 5528 Sum = 4220.586589753545436 Averaged sum = 0.4216791477423863958 logp*logq = 38.99071559871002496 -------------- ************************************* p = 389; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93468482051230932.30 -------------- Searches starting with [389,701]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(389,701) = 0.8310800211998242255 D2(389,701) = 0.01490595096199444161 C1(389,701) = 1.161701313150335341 C2(389,701) = 2.132099001032624090 C3(389,701) = 7.959897994663818374 C4(389,701) = 5608 Sum = 4706.742325522611054 Averaged sum = 0.4702510066462794539 logp*logq = 39.07640068401643320 -------------- ************************************* p = 389; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100012665964465500.8 -------------- Searches starting with [389,709]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(389,709) = 0.7696472614544003361 D2(389,709) = 0.04096597305879722620 C1(389,709) = 1.342790177348603515 C2(389,709) = 1.286690717320341138 C3(389,709) = 10.99874629622871471 C4(389,709) = 5672 Sum = 4100.351721462884231 Averaged sum = 0.4096664723211993436 logp*logq = 39.14407323252277610 -------------- ************************************* p = 389; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108724996161663366.3 -------------- Searches starting with [389,719]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(389,719) = 0.5950861353183281980 D2(389,719) = 0.03484292576618808105 C1(389,719) = 0.8412079413705328735 C2(389,719) = 1.868704156747776765 C3(389,719) = 4.491202618431197853 C4(389,719) = 5752 Sum = 3974.729362032640737 Averaged sum = 0.3971155322242622377 logp*logq = 39.22759811809122156 -------------- ************************************* p = 389; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 116141519491040863.8 -------------- Searches starting with [389,727]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(389,727) = 0.6347611537044655644 D2(389,727) = 0.02976398319608932900 C1(389,727) = 1.007105260443240714 C2(389,727) = 1.865662578758572573 C3(389,727) = 6.039725224996307860 C4(389,727) = 5816 Sum = 3958.393065856360414 Averaged sum = 0.3954833715512399254 logp*logq = 39.29358583803954683 -------------- ************************************* p = 389; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 121976138519947012.8 -------------- Searches starting with [389,733]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(389,733) = 0.5563650190075348884 D2(389,733) = 0.02388169984772607605 C1(389,733) = 0.8078092564399801319 C2(389,733) = 1.709383180983747531 C3(389,733) = 4.231182272856552120 C4(389,733) = 5864 Sum = 3960.015781025952115 Averaged sum = 0.3956454971551555715 logp*logq = 39.34260183461245127 -------------- ************************************* p = 389; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128052693208747080.3 -------------- Searches starting with [389,739]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(389,739) = 0.5582144642746067758 D2(389,739) = 0.01940007719023358530 C1(389,739) = 0.7912944800545790801 C2(389,739) = 1.614200773093939399 C3(389,739) = 4.108226784653629327 C4(389,739) = 5912 Sum = 3899.548741249102728 Averaged sum = 0.3896042303176244108 logp*logq = 39.39121823981256509 -------------- ************************************* p = 389; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132242053808350712.7 -------------- Searches starting with [389,743]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(389,743) = 0.6537937463448887831 D2(389,743) = 0.01661424276794192167 C1(389,743) = 0.8890345921128730501 C2(389,743) = 1.547971196603570853 C3(389,743) = 4.891618186783002551 C4(389,743) = 5944 Sum = 4166.806612806033585 Averaged sum = 0.4163059858932993891 logp*logq = 39.42341037921899329 -------------- ************************************* p = 389; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140963582329727241.2 -------------- Searches starting with [389,751]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(389,751) = 0.7636872382091023983 D2(389,751) = 0.01049560226890336410 C1(389,751) = 1.356118237997957985 C2(389,751) = 1.279981446933619596 C3(389,751) = 11.26365108456833186 C4(389,751) = 6008 Sum = 4013.904979110077571 Averaged sum = 0.4010295712968406006 logp*logq = 39.48727797057902925 -------------- ************************************* p = 389; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147814389934697467.9 -------------- Searches starting with [389,757]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(389,757) = 0.8669778590782833622 D2(389,757) = 0.01204885770447495944 C1(389,757) = 1.539325259185994655 C2(389,757) = 1.902822663728225367 C3(389,757) = 15.62275120205011657 C4(389,757) = 6056 Sum = 4083.173470117268758 Averaged sum = 0.4079501918390717113 logp*logq = 39.53473375954274839 -------------- ************************************* p = 389; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152533775546057344.5 -------------- Searches starting with [389,761]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(389,761) = 0.7025330151042716643 D2(389,761) = 0.009700917022247265983 C1(389,761) = 0.9820149403943895721 C2(389,761) = 1.901467545622271434 C3(389,761) = 5.775099380108535412 C4(389,761) = 6088 Sum = 4428.799306254896229 Averaged sum = 0.4424816970981013317 logp*logq = 39.56616244542584071 -------------- ************************************* p = 389; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162349407220611084.5 -------------- Searches starting with [389,769]-exponents: u = 10, v = 8 n_start has 49 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(389,769) = 1.204414638783063699 D2(389,769) = 0.005080931720585983661 C1(389,769) = 1.791464044228385608 C2(389,769) = 1.898817340063282341 C3(389,769) = 24.50715568742280802 C4(389,769) = 6152 Sum = 3911.529047185352807 Averaged sum = 0.3908011836532473581 logp*logq = 39.62852724220933320 -------------- ************************************* p = 389; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167450932582482141.5 -------------- Searches starting with [389,773]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(389,773) = 0.8524909285915027415 D2(389,773) = 0.002807823235084431256 C1(389,773) = 1.144396517062340134 C2(389,773) = 1.897521299779834876 C3(389,773) = 7.717693229287922031 C4(389,773) = 6184 Sum = 3846.908680690363078 Averaged sum = 0.3843449576071898369 logp*logq = 39.65946676345448337 -------------- ************************************* p = 389; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 186369608770974752.9 -------------- Searches starting with [389,787]-exponents: u = 19, v = 8 n_start has 73 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(389,787) = 0.6338505739145549757 D2(389,787) = 0.1415366432668999693 C1(389,787) = 0.8690563091011999225 C2(389,787) = 1.442024833044420233 C3(389,787) = 4.720187523885378357 C4(389,787) = 6296 Sum = 3993.205170757942456 Averaged sum = 0.3989614517692019638 logp*logq = 39.76650824079503937 -------------- ************************************* p = 389; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200944864656561905.8 -------------- Searches starting with [389,797]-exponents: u = 28, v = 8 n_start has 96 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(389,797) = 0.6193978857646706817 D2(389,797) = 0.09001615123556741894 C1(389,797) = 0.9513225179734727676 C2(389,797) = 1.828974327998596938 C3(389,797) = 5.467103221367454055 C4(389,797) = 6376 Sum = 3869.781679644338343 Averaged sum = 0.3866302007837284786 logp*logq = 39.84180696014997645 -------------- ************************************* p = 389; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 219675556767035076.4 -------------- Searches starting with [389,809]-exponents: u = 55, v = 8 n_start has 166 digits starting right neighbors generation We generated 1740 left neighbors We generated 8270 right neighbors We generated 10009 non-negative rho_i D1(389,809) = 0.8005263648361972983 D2(389,809) = 0.02744492102381852442 C1(389,809) = 1.144244681948266182 C2(389,809) = 1.769134993176655642 C3(389,809) = 7.715601033754611893 C4(389,809) = 6472 Sum = 4676.347889760035872 Averaged sum = 0.4672142961095050327 logp*logq = 39.93092811079278338 -------------- ************************************* p = 389; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 222934188848091938.7 -------------- Searches starting with [389,811]-exponents: u = 73, v = 8 n_start has 213 digits starting right neighbors generation We generated 2926 left neighbors We generated 7084 right neighbors We generated 10009 non-negative rho_i D1(389,811) = 0.5217056399098125927 D2(389,811) = 0.01808723168732463746 C1(389,811) = 0.8506162447518767695 C2(389,811) = 1.760228621226149718 C3(389,811) = 4.567292793559679476 C4(389,811) = 6488 Sum = 4219.994897399742412 Averaged sum = 0.4216200317114339506 logp*logq = 39.94565300554200169 -------------- ************************************* p = 389; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239837258917822421.2 -------------- Searches starting with [389,821]-exponents: u = 9, v = 495 n_start has 1466 digits --- performed 5000 steps in the continued fraction search [389,821]-exponents: u = 521, v = 31 --- **************************************************** Computing .... elapsed time = 40 minutes **************************************************** We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(389,821) = 0.6593462961138590425 D2(389,821) = 0.3934101662218277239 C1(389,821) = 0.8455643406454535303 C2(389,821) = 1.480194114599586826 C3(389,821) = 4.526276355475454736 C4(389,821) = 6568 Sum = 5448.218658076198788 Averaged sum = 0.5448763534429641752 logp*logq = 40.01873700040472712 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(389,821) = 0.6593462961138590425 D2(389,821) = 0.3934101662218277239 C1(389,821) = 0.8455643406454535303 C2(389,821) = 1.480194114599586826 C3(389,821) = 4.526276355475454736 C4(389,821) = 6568 Sum = 5448.218658076198788 Averaged sum = 0.5448763534429641752 logp*logq = 40.01873700040472712 -------------- ************************************* p = 389; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 243342651374848973.1 -------------- Searches starting with [389,823]-exponents: u = 9, v = 183 n_start has 557 digits --- performed 5000 steps in the continued fraction search [389,823]-exponents: u = 80, v = 94 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(389,823) = 0.5092687467477156031 D2(389,823) = 0.1860392943163508580 C1(389,823) = 0.6799540246247902341 C2(389,823) = 1.468934741173408508 C3(389,823) = 3.367511651061747111 C4(389,823) = 6584 Sum = 4823.961300445732038 Averaged sum = 0.4824443744820214059 logp*logq = 40.03324693297313902 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(389,823) = 0.5092687467477156031 D2(389,823) = 0.1860392943163508580 C1(389,823) = 0.6799540246247902341 C2(389,823) = 1.468934741173408508 C3(389,823) = 3.367511651061747111 C4(389,823) = 6584 Sum = 4823.961300445732038 Averaged sum = 0.4824443744820214059 logp*logq = 40.03324693297313902 -------------- ************************************* p = 389; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 250481463252693755.9 -------------- Searches starting with [389,827]-exponents: u = 9, v = 79 n_start has 254 digits starting right neighbors generation We generated 1975 left neighbors We generated 8035 right neighbors We generated 10009 non-negative rho_i D1(389,827) = 0.6271590163859453928 D2(389,827) = 0.002894783116126856459 C1(389,827) = 0.8714136564677859366 C2(389,827) = 1.388805876573357951 C3(389,827) = 4.740098779034975349 C4(389,827) = 6616 Sum = 4323.752050187995295 Averaged sum = 0.4319864172432805769 logp*logq = 40.06216131370630183 -------------- ************************************* p = 389; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 254115708057236752.9 -------------- Searches starting with [389,829]-exponents: u = 9, v = 63 n_start has 208 digits starting right neighbors generation We generated 1480 left neighbors We generated 8530 right neighbors We generated 10009 non-negative rho_i D1(389,829) = 0.6914365112491226182 D2(389,829) = 0.008600693420439806503 C1(389,829) = 0.9375216552106249534 C2(389,829) = 1.441885357014328908 C3(389,829) = 5.334019609299503332 C4(389,829) = 6632 Sum = 3874.659801965694161 Averaged sum = 0.3871175743796277511 logp*logq = 40.07656610173319573 -------------- ************************************* p = 389; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 272952097038230812.9 -------------- Searches starting with [389,839]-exponents: u = 9, v = 31 n_start has 114 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(389,839) = 0.6755428642065523954 D2(389,839) = 0.04232616312861094828 C1(389,839) = 1.014845983686403687 C2(389,839) = 1.639023794897033258 C3(389,839) = 6.123788263365446367 C4(389,839) = 6712 Sum = 3402.946623787850894 Averaged sum = 0.3399886725734689673 logp*logq = 40.14807270597477802 -------------- ************************************* p = 389; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 301263903837869844.2 -------------- Searches starting with [389,853]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(389,853) = 0.7132681796028891233 D2(389,853) = 0.1044957688922235542 C1(389,853) = 1.051900043317796478 C2(389,853) = 1.885390018466760880 C3(389,853) = 6.542682547981010661 C4(389,853) = 6824 Sum = 3575.570415719555615 Averaged sum = 0.3572355295953197737 logp*logq = 40.24676303246915038 -------------- ************************************* p = 389; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 309787467872514726.7 -------------- Searches starting with [389,857]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(389,857) = 0.8411864050944509052 D2(389,857) = 0.1226913426334908427 C1(389,857) = 1.133325880822026892 C2(389,857) = 1.904363832708111806 C3(389,857) = 7.566624040075492823 C4(389,857) = 6856 Sum = 3782.123969287459075 Averaged sum = 0.3778723118480826331 logp*logq = 40.27466286975927373 -------------- ************************************* p = 389; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 314123932803062931.7 -------------- Searches starting with [389,859]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(389,859) = 0.6699638354391081918 D2(389,859) = 0.1152890439360390325 C1(389,859) = 1.092282734891990762 C2(389,859) = 1.403226679113938645 C3(389,859) = 7.031903607309182261 C4(389,859) = 6872 Sum = 3961.583360304439562 Averaged sum = 0.3958021141277290001 logp*logq = 40.28856399340476415 -------------- ************************************* p = 389; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 322948546292497175.6 -------------- Searches starting with [389,863]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(389,863) = 0.7927055670352500081 D2(389,863) = 0.1016557877549655300 C1(389,863) = 1.292318925142891091 C2(389,863) = 1.294166925436012042 C3(389,863) = 10.05084035889085037 C4(389,863) = 6904 Sum = 3672.940957486340006 Averaged sum = 0.3669638283031611556 logp*logq = 40.31626940603981059 -------------- ************************************* p = 389; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 355477062970877834.1 -------------- Searches starting with [389,877]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(389,877) = 1.010954622137277853 D2(389,877) = 0.06807040785662549758 C1(389,877) = 1.571788938507164106 C2(389,877) = 1.870545369035295967 C3(389,877) = 16.55515789287191772 C4(389,877) = 7016 Sum = 4056.214044945441003 Averaged sum = 0.4052566734884045362 logp*logq = 40.41223712159671498 -------------- ************************************* p = 389; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365256114474187769.9 -------------- Searches starting with [389,881]-exponents: u = 25, v = 7 n_start has 86 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(389,881) = 0.6377975263820214766 D2(389,881) = 0.05073818055046109645 C1(389,881) = 0.8679360237352055062 C2(389,881) = 1.854065705740476244 C3(389,881) = 4.710754411570215552 C4(389,881) = 7048 Sum = 4121.066040986143260 Averaged sum = 0.4117360416611193186 logp*logq = 40.43937518591934110 -------------- ************************************* p = 389; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 370228970141653605.2 -------------- Searches starting with [389,883]-exponents: u = 25, v = 7 n_start has 86 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(389,883) = 0.6221008198705918866 D2(389,883) = 0.04240393854807058386 C1(389,883) = 0.8683679109555107529 C2(389,883) = 1.846156274778489598 C3(389,883) = 4.714388786310095240 C4(389,883) = 7064 Sum = 4203.527166552560029 Averaged sum = 0.4199747393898051782 logp*logq = 40.45289804736822939 -------------- ************************************* p = 389; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 380343856572337716.4 -------------- Searches starting with [389,887]-exponents: u = 33, v = 7 n_start has 107 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(389,887) = 0.8271292666493105647 D2(389,887) = 0.02633140470547620325 C1(389,887) = 1.126013828522644617 C2(389,887) = 1.830930443406537072 C3(389,887) = 7.468469437719575082 C4(389,887) = 7096 Sum = 4075.565183308880363 Averaged sum = 0.4071900472883285406 logp*logq = 40.47985212418552625 -------------- ************************************* p = 389; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 434435917275107754.1 -------------- Searches starting with [389,907]-exponents: u = 177, v = 7 n_start has 480 digits --- performed 5000 steps in the continued fraction search [389,907]-exponents: u = 18, v = 115 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(389,907) = 0.5715115733169303718 D2(389,907) = 0.1116664550650693788 C1(389,907) = 0.7686719369834007408 C2(389,907) = 1.480586931130236966 C3(389,907) = 3.945576508693558918 C4(389,907) = 7256 Sum = 4687.976250212682645 Averaged sum = 0.4688445094722154860 logp*logq = 40.61282484260574397 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(389,907) = 0.5715115733169303718 D2(389,907) = 0.1116664550650693788 C1(389,907) = 0.7686719369834007408 C2(389,907) = 1.480586931130236966 C3(389,907) = 3.945576508693558918 C4(389,907) = 7256 Sum = 4687.976250212682645 Averaged sum = 0.4688445094722154860 logp*logq = 40.61282484260574397 -------------- ************************************* p = 389; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 445987472647198949.6 -------------- Searches starting with [389,911]-exponents: u = 993, v = 7 n_start has 2593 digits --- performed 5000 steps in the continued fraction search [389,911]-exponents: u = 801, v = 170 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(389,911) = 0.6511614601418177746 D2(389,911) = 0.4671305006441765790 C1(389,911) = 0.8196595659692685977 C2(389,911) = 1.491282780325446774 C3(389,911) = 4.321671304867042607 C4(389,911) = 7288 Sum = 5734.124714084474347 Averaged sum = 0.5734698183902864634 logp*logq = 40.63906725830128754 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(389,911) = 0.6511614601418177746 D2(389,911) = 0.4671305006441765790 C1(389,911) = 0.8196595659692685977 C2(389,911) = 1.491282780325446774 C3(389,911) = 4.321671304867042607 C4(389,911) = 7288 Sum = 5734.124714084474347 Averaged sum = 0.5734698183902864634 logp*logq = 40.63906725830128754 -------------- ************************************* p = 389; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 469858591351116530.6 -------------- Searches starting with [389,919]-exponents: u = 8, v = 104 n_start has 329 digits --- performed 5000 steps in the continued fraction search [389,919]-exponents: u = 46, v = 13 --- starting right neighbors generation We generated 6540 left neighbors We generated 3470 right neighbors We generated 10009 non-negative rho_i D1(389,919) = 0.6911076469319015695 D2(389,919) = 0.01871467649223668750 C1(389,919) = 0.9458646919186152539 C2(389,919) = 1.612208102578020782 C3(389,919) = 5.414080281518445223 C4(389,919) = 7352 Sum = 4436.518203378754625 Averaged sum = 0.4432528927344144895 logp*logq = 40.69120817487878180 -------------- ************************************* p = 389; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 501184006411827969.3 -------------- Searches starting with [389,929]-exponents: u = 8, v = 41 n_start has 143 digits starting right neighbors generation We generated 1162 left neighbors We generated 8848 right neighbors We generated 10009 non-negative rho_i D1(389,929) = 0.6868527466823468556 D2(389,929) = 0.03366962026968928310 C1(389,929) = 0.9294230904751810578 C2(389,929) = 1.766095629816218552 C3(389,929) = 5.257437448591863817 C4(389,929) = 7432 Sum = 4017.897387843307343 Averaged sum = 0.4014284531764719096 logp*logq = 40.75574970683251892 -------------- ************************************* p = 389; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 527478592701136554.4 -------------- Searches starting with [389,937]-exponents: u = 8, v = 27 n_start has 101 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(389,937) = 0.5690863535203319714 D2(389,937) = 0.001558455290822787718 C1(389,937) = 0.7856980704197404356 C2(389,937) = 1.656769538856106938 C3(389,937) = 4.067376310944998240 C4(389,937) = 7496 Sum = 4141.336257434560564 Averaged sum = 0.4137612406268918538 logp*logq = 40.80688467688032547 -------------- ************************************* p = 389; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 541050315558338715.2 -------------- Searches starting with [389,941]-exponents: u = 8, v = 27 n_start has 102 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(389,941) = 1.083352153203159217 D2(389,941) = 0.01120728880227243713 C1(389,941) = 1.646697590360228990 C2(389,941) = 1.667137042342252627 C3(389,941) = 18.92454781175557058 C4(389,941) = 7528 Sum = 3317.017488835124540 Averaged sum = 0.3314034857463407473 logp*logq = 40.83228867416140218 -------------- ************************************* p = 389; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 561952042629341090.2 -------------- Searches starting with [389,947]-exponents: u = 8, v = 20 n_start has 81 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(389,947) = 0.6026521925170886301 D2(389,947) = 0.02734687006406726607 C1(389,947) = 0.8503961892875276566 C2(389,947) = 1.763305811799624474 C3(389,947) = 4.565498443810085545 C4(389,947) = 7576 Sum = 4152.099479231085844 Averaged sum = 0.4148365949876197266 logp*logq = 40.87019290776352569 -------------- ************************************* p = 389; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 583521530363956036.0 -------------- Searches starting with [389,953]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(389,953) = 0.7096751608010606090 D2(389,953) = 0.04648435592941685794 C1(389,953) = 1.113836727919788061 C2(389,953) = 1.900764612746117994 C3(389,953) = 7.307825716204600526 C4(389,953) = 7624 Sum = 3688.815252345147715 Averaged sum = 0.3685498303871663218 logp*logq = 40.90785774460943834 -------------- ************************************* p = 389; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 636542862404821422.3 -------------- Searches starting with [389,967]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(389,967) = 0.5771665278536912751 D2(389,967) = 0.08981349683657963644 C1(389,967) = 0.7825825071748386628 C2(389,967) = 1.946575979420881811 C3(389,967) = 4.044810817847185134 C4(389,967) = 7736 Sum = 4133.886424821830677 Averaged sum = 0.4130169272476601736 logp*logq = 40.99482815141826804 -------------- ************************************* p = 389; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 652407423903183825.7 -------------- Searches starting with [389,971]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(389,971) = 0.7393117133931789261 D2(389,971) = 0.08378860296087281408 C1(389,971) = 1.226880452518157203 C2(389,971) = 1.347549473541755973 C3(389,971) = 8.942405950882527818 C4(389,971) = 7768 Sum = 3928.725231109338342 Averaged sum = 0.3925192557807311761 logp*logq = 41.01944564496616525 -------------- ************************************* p = 389; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 676820430420938226.3 -------------- Searches starting with [389,977]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(389,977) = 0.7009919448092862884 D2(389,977) = 0.08760521346787865318 C1(389,977) = 0.9485552434317867290 C2(389,977) = 1.400412728024055815 C3(389,977) = 5.440154488168808885 C4(389,977) = 7816 Sum = 4125.566578952613380 Averaged sum = 0.4121856907735651293 logp*logq = 41.05618238953925315 -------------- ************************************* p = 389; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 701989059360515626.1 -------------- Searches starting with [389,983]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(389,983) = 0.6163564945597459094 D2(389,983) = 0.07732572571245707450 C1(389,983) = 0.8949107185478506310 C2(389,983) = 1.957759549964077382 C3(389,983) = 4.943215320379074305 C4(389,983) = 7864 Sum = 3440.124072483744636 Averaged sum = 0.3437030744813412565 logp*logq = 41.09269421385851924 -------------- ************************************* p = 389; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 736754772624621340.0 -------------- Searches starting with [389,991]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(389,991) = 0.6961383735643099657 D2(389,991) = 0.04934013184574249935 C1(389,991) = 1.001000936167756740 C2(389,991) = 1.931337588193430607 C3(389,991) = 5.974247834008748399 C4(389,991) = 7928 Sum = 4165.679097544249199 Averaged sum = 0.4161933357522478968 logp*logq = 41.14103149445066515 -------------- ************************************* p = 389; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 763759286631322664.0 -------------- Searches starting with [389,997]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(389,997) = 0.9772472830339807804 D2(389,997) = 0.02978465749450049502 C1(389,997) = 1.541807142633882806 C2(389,997) = 1.912946460409258783 C3(389,997) = 15.69214218277707841 C4(389,997) = 7976 Sum = 3712.004425085439674 Averaged sum = 0.3708666625122829128 logp*logq = 41.17702906457798148 -------------- ************************************* p = 397; q = 401; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3776157110188044.343 -------------- Searches starting with [397,401]-exponents: u = 1, v = 596 n_start has 1555 digits --- performed 5000 steps in the continued fraction search [397,401]-exponents: u = 260, v = 329 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(397,401) = 0.5759383069754205363 D2(397,401) = 0.2153247542966652539 C1(397,401) = 0.7371417896006630711 C2(397,401) = 1.205257892866130613 C3(397,401) = 3.738949147309016765 C4(397,401) = 3208 Sum = 5624.219017284016447 Averaged sum = 0.5624781495433559803 logp*logq = 35.86748324989935486 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(397,401) = 0.5759383069754205363 D2(397,401) = 0.2153247542966652539 C1(397,401) = 0.7371417896006630711 C2(397,401) = 1.205257892866130613 C3(397,401) = 3.738949147309016765 C4(397,401) = 3208 Sum = 5624.219017284016447 Averaged sum = 0.5624781495433559803 logp*logq = 35.86748324989935486 -------------- ************************************* p = 397; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4249969936099076.330 -------------- Searches starting with [397,409]-exponents: u = 1, v = 200 n_start has 525 digits starting right neighbors generation We generated 4571 left neighbors We generated 5439 right neighbors We generated 10009 non-negative rho_i D1(397,409) = 0.9054034894842265612 D2(397,409) = 0.002838291597780908770 C1(397,409) = 1.210557278403784257 C2(397,409) = 1.163010059668856360 C3(397,409) = 8.721420374036513460 C4(397,409) = 3272 Sum = 5069.337702177729226 Averaged sum = 0.5064779400717083850 logp*logq = 35.98568830396295000 -------------- ************************************* p = 397; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4910906072426805.385 -------------- Searches starting with [397,419]-exponents: u = 1, v = 110 n_start has 292 digits starting right neighbors generation We generated 1377 left neighbors We generated 8633 right neighbors We generated 10009 non-negative rho_i D1(397,419) = 0.9025844134033298345 D2(397,419) = 0.01563828585074098763 C1(397,419) = 1.244810722202162613 C2(397,419) = 1.285323091182108929 C3(397,419) = 9.272603706249237147 C4(397,419) = 3352 Sum = 5156.093015765197239 Averaged sum = 0.5151456704730939393 logp*logq = 36.13023485582822176 -------------- ************************************* p = 397; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5052855097819163.668 -------------- Searches starting with [397,421]-exponents: u = 1, v = 101 n_start has 268 digits starting right neighbors generation We generated 1169 left neighbors We generated 8841 right neighbors We generated 10009 non-negative rho_i D1(397,421) = 0.8983602053980446935 D2(397,421) = 0.01646538019327509865 C1(397,421) = 1.245141433764297872 C2(397,421) = 1.303701737973892034 C3(397,421) = 9.278091641549897827 C4(397,421) = 3368 Sum = 5184.274566261749399 Averaged sum = 0.5179612914638574682 logp*logq = 36.15872984434364752 -------------- ************************************* p = 397; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5814924998965974.455 -------------- Searches starting with [397,431]-exponents: u = 1, v = 72 n_start has 193 digits starting right neighbors generation We generated 629 left neighbors We generated 9381 right neighbors We generated 10009 non-negative rho_i D1(397,431) = 0.6924216027635457777 D2(397,431) = 0.01730441367091524655 C1(397,431) = 0.9802417540735824519 C2(397,431) = 1.380096319767510186 C3(397,431) = 5.776104754110682249 C4(397,431) = 3448 Sum = 4776.769231314423856 Averaged sum = 0.4772474004710184689 logp*logq = 36.29920428294189667 -------------- ************************************* p = 397; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5978270704066286.644 -------------- Searches starting with [397,433]-exponents: u = 1, v = 68 n_start has 182 digits starting right neighbors generation We generated 593 left neighbors We generated 9417 right neighbors We generated 10009 non-negative rho_i D1(397,433) = 0.8654867021927919158 D2(397,433) = 0.001389035003318726351 C1(397,433) = 1.229950740075643975 C2(397,433) = 1.379422759669455159 C3(397,433) = 9.029333351146053172 C4(397,433) = 3464 Sum = 5245.141792605785501 Averaged sum = 0.5240425409737022181 logp*logq = 36.32690774113062369 -------------- ************************************* p = 397; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6491414079019952.274 -------------- Searches starting with [397,439]-exponents: u = 1, v = 59 n_start has 159 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(397,439) = 1.071907970395702129 D2(397,439) = 0.01379864835767216104 C1(397,439) = 1.471785333554914763 C2(397,439) = 1.427214428754633797 C3(397,439) = 13.91739689536122538 C4(397,439) = 3512 Sum = 4649.678149735735468 Averaged sum = 0.4645497202253707132 logp*logq = 36.40925678772043387 -------------- ************************************* p = 397; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6853481908646680.105 -------------- Searches starting with [397,443]-exponents: u = 1, v = 54 n_start has 146 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(397,443) = 0.6183479546705113626 D2(397,443) = 0.02977584555362330575 C1(397,443) = 0.8532502366375138392 C2(397,443) = 1.463875394483308080 C3(397,443) = 4.602187492333962909 C4(397,443) = 3544 Sum = 4454.997052142538447 Averaged sum = 0.4450991160098449842 logp*logq = 36.46353322587178711 -------------- ************************************* p = 397; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7428020698498362.948 -------------- Searches starting with [397,449]-exponents: u = 1, v = 48 n_start has 130 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(397,449) = 0.5552149695846105595 D2(397,449) = 0.0006953883780414014064 C1(397,449) = 0.7713863945404337634 C2(397,449) = 1.470268927176877650 C3(397,449) = 3.975183397947721010 C4(397,449) = 3592 Sum = 4407.322418451775152 Averaged sum = 0.4403359394996278501 logp*logq = 36.54403582494793034 -------------- ************************************* p = 397; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8255988002754305.580 -------------- Searches starting with [397,457]-exponents: u = 1, v = 42 n_start has 115 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(397,457) = 0.8683036948067387572 D2(397,457) = 0.02178455824319661157 C1(397,457) = 1.216153769069521456 C2(397,457) = 1.527152551469189634 C3(397,457) = 8.809182763114397549 C4(397,457) = 3656 Sum = 4737.252884922921848 Averaged sum = 0.4732993191050975970 logp*logq = 36.64971515049407685 -------------- ************************************* p = 397; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8697944022438264.024 -------------- Searches starting with [397,461]-exponents: u = 1, v = 40 n_start has 110 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(397,461) = 0.9461865170569295030 D2(397,461) = 0.03493297716579236858 C1(397,461) = 1.402031231303067240 C2(397,461) = 1.556599084972772261 C3(397,461) = 12.28457071721352290 C4(397,461) = 3688 Sum = 2853.391693422487594 Averaged sum = 0.2850825950067426909 logp*logq = 36.70186307338345732 -------------- ************************************* p = 397; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8926203861315394.208 -------------- Searches starting with [397,463]-exponents: u = 1, v = 38 n_start has 104 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(397,463) = 0.7792369299257064796 D2(397,463) = 0.03595693189504410209 C1(397,463) = 1.157160938294118213 C2(397,463) = 1.566212192042300572 C3(397,463) = 7.926819335683743483 C4(397,463) = 3704 Sum = 4592.600511483587521 Averaged sum = 0.4588470887684671317 logp*logq = 36.72776759990192551 -------------- ************************************* p = 397; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9397711884505696.789 -------------- Searches starting with [397,467]-exponents: u = 1, v = 36 n_start has 99 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(397,467) = 0.6804408673679652080 D2(397,467) = 0.02660756137865442030 C1(397,467) = 1.015102958024583761 C2(397,467) = 1.575027995800433892 C3(397,467) = 6.147828753170828518 C4(397,467) = 3736 Sum = 4207.815189353662949 Averaged sum = 0.4204031560948809020 logp*logq = 36.77924263801408139 -------------- ************************************* p = 397; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10938478641499995.09 -------------- Searches starting with [397,479]-exponents: u = 1, v = 31 n_start has 86 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(397,479) = 0.6992421370247271831 D2(397,479) = 0.06496929552793394053 C1(397,479) = 1.057027474598700695 C2(397,479) = 1.655621360269122398 C3(397,479) = 6.626688625844375216 C4(397,479) = 3832 Sum = 4080.051100059034682 Averaged sum = 0.4076382355938689861 logp*logq = 36.93106311838598322 -------------- ************************************* p = 397; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12078195541895682.33 -------------- Searches starting with [397,487]-exponents: u = 1, v = 29 n_start has 81 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(397,487) = 0.5594469137936864461 D2(397,487) = 0.008650792008866582490 C1(397,487) = 0.7813324536935546225 C2(397,487) = 1.635911292652126366 C3(397,487) = 4.046552023942282890 C4(397,487) = 3896 Sum = 4024.219497634651694 Averaged sum = 0.4020600956773555494 logp*logq = 37.03017820058881026 -------------- ************************************* p = 397; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12684115120175854.35 -------------- Searches starting with [397,491]-exponents: u = 1, v = 28 n_start has 78 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(397,491) = 0.6585443532204282873 D2(397,491) = 0.008785673237017210276 C1(397,491) = 0.8866637003527303068 C2(397,491) = 1.649898006842501494 C3(397,491) = 4.885692543786906495 C4(397,491) = 3928 Sum = 3769.518564205638812 Averaged sum = 0.3766129048062382667 logp*logq = 37.07912682756072508 -------------- ************************************* p = 397; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13972101886020770.16 -------------- Searches starting with [397,499]-exponents: u = 1, v = 26 n_start has 73 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(397,499) = 0.8728536358433939738 D2(397,499) = 0.08857906758644015794 C1(397,499) = 1.179426291497963277 C2(397,499) = 1.745452905182500242 C3(397,499) = 8.248953380718489203 C4(397,499) = 3992 Sum = 4049.605587056679858 Averaged sum = 0.4045964219259346446 logp*logq = 37.17583901398590976 -------------- ************************************* p = 397; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14655838833301821.34 -------------- Searches starting with [397,503]-exponents: u = 1, v = 25 n_start has 71 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(397,503) = 0.5468418309098623092 D2(397,503) = 0.06687356537130741670 C1(397,503) = 0.7707472409541798562 C2(397,503) = 1.739134570547136291 C3(397,503) = 3.970640389590306919 C4(397,503) = 4024 Sum = 4218.116643532136735 Averaged sum = 0.4214323752155197057 logp*logq = 37.22361520614593059 -------------- ************************************* p = 397; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15733550531918105.18 -------------- Searches starting with [397,509]-exponents: u = 1, v = 24 n_start has 68 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(397,509) = 0.7826952807962421464 D2(397,509) = 0.07943763969001767605 C1(397,509) = 1.217741740694680280 C2(397,509) = 1.768567431898866801 C3(397,509) = 8.834245289086700795 C4(397,509) = 4072 Sum = 2936.726410365098555 Averaged sum = 0.2934085733205213863 logp*logq = 37.29457180373359202 -------------- ************************************* p = 397; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18087719780559784.04 -------------- Searches starting with [397,521]-exponents: u = 1, v = 22 n_start has 63 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(397,521) = 1.119107611834469578 D2(397,521) = 0.06539382805663226820 C1(397,521) = 1.757664103224409181 C2(397,521) = 1.791380341718170877 C3(397,521) = 23.21037134689621192 C4(397,521) = 4168 Sum = 1940.569474365628038 Averaged sum = 0.1938824532286570125 logp*logq = 37.43400963775837857 -------------- ************************************* p = 397; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18507207111678856.41 -------------- Searches starting with [397,523]-exponents: u = 1, v = 21 n_start has 60 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(397,523) = 0.6634304642326830344 D2(397,523) = 0.1051967409467628504 C1(397,523) = 0.8975894054376501572 C2(397,523) = 1.831757732832934606 C3(397,523) = 4.982132389116821620 C4(397,523) = 4184 Sum = 3952.338040771873584 Averaged sum = 0.3948784135050328289 logp*logq = 37.45693662473513280 -------------- ************************************* p = 397; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22660958578045851.74 -------------- Searches starting with [397,541]-exponents: u = 1, v = 19 n_start has 55 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(397,541) = 1.071514808892216293 D2(397,541) = 0.1416516329276767527 C1(397,541) = 1.537845463258496504 C2(397,541) = 1.911858782851498224 C3(397,541) = 15.66339398482284272 C4(397,541) = 4328 Sum = 5294.723147234370029 Averaged sum = 0.5289962181271225926 logp*logq = 37.65941995226567472 -------------- ************************************* p = 397; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24207040573450549.01 -------------- Searches starting with [397,547]-exponents: u = 1, v = 18 n_start has 52 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(397,547) = 0.9839319546905239675 D2(397,547) = 0.07392319674575189714 C1(397,547) = 1.415647278146107838 C2(397,547) = 1.867472484619024712 C3(397,547) = 12.58749976817934033 C4(397,547) = 4376 Sum = 4451.266798207677625 Averaged sum = 0.4447264260373341618 logp*logq = 37.72541991854780198 -------------- ************************************* p = 397; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26978793495468726.53 -------------- Searches starting with [397,557]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(397,557) = 0.9299701280319531714 D2(397,557) = 0.05916383904780623806 C1(397,557) = 1.343299271393668332 C2(397,557) = 1.879074549129265770 C3(397,557) = 11.05925871125434645 C4(397,557) = 4456 Sum = 4296.412098800872063 Averaged sum = 0.4292548804876483228 logp*logq = 37.83382752621258564 -------------- ************************************* p = 397; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28765171938590499.90 -------------- Searches starting with [397,563]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(397,563) = 0.6597728602205806622 D2(397,563) = 0.1291495785398267000 C1(397,563) = 0.8969542509664185862 C2(397,563) = 1.375208724248245133 C3(397,563) = 4.976474201908552396 C4(397,563) = 4504 Sum = 4126.199803247444048 Averaged sum = 0.4122489562641067087 logp*logq = 37.89794174256217123 -------------- ************************************* p = 397; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30648995702302800.91 -------------- Searches starting with [397,569]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(397,569) = 1.013418971033966976 D2(397,569) = 0.05047367833673331815 C1(397,569) = 1.379790794744346468 C2(397,569) = 1.899501549015669132 C3(397,569) = 11.80536598711610357 C4(397,569) = 4552 Sum = 4218.673135570123841 Averaged sum = 0.4214879743800703208 logp*logq = 37.96137629011015552 -------------- ************************************* p = 397; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31299314125800860.59 -------------- Searches starting with [397,571]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(397,571) = 0.6799134617309935342 D2(397,571) = 0.07747905153581523057 C1(397,571) = 1.022051164702737308 C2(397,571) = 1.927052645868136891 C3(397,571) = 6.224728699804504551 C4(397,571) = 4568 Sum = 3488.588204765022028 Averaged sum = 0.3485451298596285372 logp*logq = 37.98237257930299087 -------------- ************************************* p = 397; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33319626592681446.16 -------------- Searches starting with [397,577]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(397,577) = 1.415328056322942292 D2(397,577) = 0.09655107550272858391 C1(397,577) = 2.309064416800206645 C2(397,577) = 1.126449951901312991 C3(397,577) = 62.24621413698423122 C4(397,577) = 4616 Sum = 1571.563849219129468 Averaged sum = 0.1570150713576910249 logp*logq = 38.04492300544429414 -------------- ************************************* p = 397; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36927846522172227.86 -------------- Searches starting with [397,587]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(397,587) = 0.8529805054568512047 D2(397,587) = 0.09146184113368484271 C1(397,587) = 1.152573136990952324 C2(397,587) = 1.973810566438899371 C3(397,587) = 7.862022787967515139 C4(397,587) = 4696 Sum = 3812.591140026458016 Averaged sum = 0.3809162893422377876 logp*logq = 38.14774230965066564 -------------- ************************************* p = 397; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39244842271273827.14 -------------- Searches starting with [397,593]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(397,593) = 0.7314723141995401453 D2(397,593) = 0.1159945328131428878 C1(397,593) = 1.203472163193612464 C2(397,593) = 1.319989871088076451 C3(397,593) = 8.611566862930651758 C4(397,593) = 4744 Sum = 4055.717371486613019 Averaged sum = 0.4052070508029386571 logp*logq = 38.20859642340312935 -------------- ************************************* p = 397; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41681671780513758.95 -------------- Searches starting with [397,599]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(397,599) = 0.6466718786400219162 D2(397,599) = 0.02629949161115059705 C1(397,599) = 0.8716864629576804793 C2(397,599) = 1.943433367466811526 C3(397,599) = 4.756516583285894641 C4(397,599) = 4792 Sum = 3953.181264829418066 Averaged sum = 0.3949626600888618310 logp*logq = 38.26883790144857945 -------------- ************************************* p = 397; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42521421288857923.88 -------------- Searches starting with [397,601]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(397,601) = 0.7655555174758865702 D2(397,601) = 0.04763963594498797905 C1(397,601) = 1.058080887475665835 C2(397,601) = 1.965301522229012772 C3(397,601) = 6.639189313811249436 C4(397,601) = 4808 Sum = 4194.794976068858203 Averaged sum = 0.4191023055319071039 logp*logq = 38.28878437418650667 -------------- ************************************* p = 397; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45125682614901602.95 -------------- Searches starting with [397,607]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(397,607) = 0.7134145299198080144 D2(397,607) = 0.09244847956854936517 C1(397,607) = 1.184810110139636302 C2(397,607) = 1.324647798336765082 C3(397,607) = 8.328791803248956938 C4(397,607) = 4856 Sum = 4083.665445714967637 Averaged sum = 0.4079993451608519968 logp*logq = 38.34822793864935084 -------------- ************************************* p = 397; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47861451397962553.42 -------------- Searches starting with [397,613]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(397,613) = 0.6410039309589118872 D2(397,613) = 0.1198113982618706468 C1(397,613) = 0.8755079265658513644 C2(397,613) = 1.792564058502083548 C3(397,613) = 4.789147826632423649 C4(397,613) = 4904 Sum = 3955.272057052883168 Averaged sum = 0.3951715513091101177 logp*logq = 38.40708680283921001 -------------- ************************************* p = 397; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49760945820653035.21 -------------- Searches starting with [397,617]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(397,617) = 1.068300134685759896 D2(397,617) = 0.0001859113248297854433 C1(397,617) = 1.481550758703425108 C2(397,617) = 1.957412222338626461 C3(397,617) = 14.16268580612705167 C4(397,617) = 4936 Sum = 4565.195199044022924 Averaged sum = 0.4561090217847959760 logp*logq = 38.44600685081074583 -------------- ************************************* p = 397; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50733983009474824.14 -------------- Searches starting with [397,619]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(397,619) = 0.7154207875704458225 D2(397,619) = 0.01842798375834306201 C1(397,619) = 1.095531143231886067 C2(397,619) = 1.976172206275873212 C3(397,619) = 7.099265411971701501 C4(397,619) = 4952 Sum = 3401.711851685523418 Averaged sum = 0.3398653063927988228 logp*logq = 38.46537235729397993 -------------- ************************************* p = 397; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56911137984982021.96 -------------- Searches starting with [397,631]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(397,631) = 0.7231426180998462257 D2(397,631) = 0.09282520743398568600 C1(397,631) = 1.213377886098303487 C2(397,631) = 1.329566221166895194 C3(397,631) = 8.765542413016509848 C4(397,631) = 5048 Sum = 4163.791544933047068 Averaged sum = 0.4160047502181084092 logp*logq = 38.58026746354758519 -------------- ************************************* p = 397; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62525849016686508.36 -------------- Searches starting with [397,641]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(397,641) = 0.9157053656989102106 D2(397,641) = 0.08975131203967854532 C1(397,641) = 1.412777561096731046 C2(397,641) = 1.664829979773401218 C3(397,641) = 12.52303928104276451 C4(397,641) = 5128 Sum = 3537.095804253456421 Averaged sum = 0.3533915280501005516 logp*logq = 38.67435645041762641 -------------- ************************************* p = 397; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63702360386763815.58 -------------- Searches starting with [397,643]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(397,643) = 0.6292328901800851789 D2(397,643) = 0.006376495771420430971 C1(397,643) = 0.8969723883138628369 C2(397,643) = 2.010277467455648854 C3(397,643) = 4.976635686836816283 C4(397,643) = 5144 Sum = 3961.565002625687392 Averaged sum = 0.3958002800105592358 logp*logq = 38.69299801153955866 -------------- ************************************* p = 397; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66110753432135299.17 -------------- Searches starting with [397,647]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(397,647) = 0.9740637875299617084 D2(397,647) = 0.04002396159774341753 C1(397,647) = 1.412994164823829874 C2(397,647) = 2.044928485031513271 C3(397,647) = 12.52789316331988388 C4(397,647) = 5176 Sum = 5047.228129102896731 Averaged sum = 0.5042689708365367899 logp*logq = 38.73010781283523771 -------------- ************************************* p = 397; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69865233105413206.93 -------------- Searches starting with [397,653]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(397,653) = 1.009772486900072413 D2(397,653) = 0.05439904145456195748 C1(397,653) = 1.714142429622234658 C2(397,653) = 1.115827715119487615 C3(397,653) = 21.47169433237255606 C4(397,653) = 5224 Sum = 2517.037424890263524 Averaged sum = 0.2514774128174906108 logp*logq = 38.78534453994956364 -------------- ************************************* p = 397; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73795639988091612.54 -------------- Searches starting with [397,659]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(397,659) = 0.6626650982296317831 D2(397,659) = 0.08450603583491171066 C1(397,659) = 0.9477354487034563002 C2(397,659) = 1.827155234516643425 C3(397,659) = 5.449768891092963481 C4(397,659) = 5272 Sum = 3705.771174671318978 Averaged sum = 0.3702438979589688259 logp*logq = 38.84007604601974769 -------------- ************************************* p = 397; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75145993787437476.05 -------------- Searches starting with [397,661]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(397,661) = 0.6378657897205271884 D2(397,661) = 0.08295598538744023598 C1(397,661) = 0.9281106112796349732 C2(397,661) = 1.826142805818206402 C3(397,661) = 5.261745553411813520 C4(397,661) = 5288 Sum = 4072.502701508052136 Averaged sum = 0.4068840744837698207 logp*logq = 38.85820920014026077 -------------- ************************************* p = 397; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83687760293165607.49 -------------- Searches starting with [397,673]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(397,673) = 0.9377586075346435674 D2(397,673) = 0.06806439982044758092 C1(397,673) = 1.402387578222322262 C2(397,673) = 1.676584379064301571 C3(397,673) = 12.29240502912111167 C4(397,673) = 5384 Sum = 4467.667481812737614 Averaged sum = 0.4463650196635765425 logp*logq = 38.96586912865645518 -------------- ************************************* p = 397; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86708611200695295.04 -------------- Searches starting with [397,677]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(397,677) = 0.5888288681946600859 D2(397,677) = 0.02283781193501685790 C1(397,677) = 0.8450961696514350576 C2(397,677) = 2.080990168263447524 C3(397,677) = 4.535536894240522872 C4(397,677) = 5416 Sum = 4116.248597975684617 Averaged sum = 0.4112547305400823875 logp*logq = 39.00132959557242481 -------------- ************************************* p = 397; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91409826259709068.06 -------------- Searches starting with [397,683]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(397,683) = 0.9687829518573491821 D2(397,683) = 0.04190058992294302720 C1(397,683) = 1.666347291263973281 C2(397,683) = 1.141458122323474909 C3(397,683) = 19.71197395739036339 C4(397,683) = 5464 Sum = 3208.639636483001255 Averaged sum = 0.3205754457471277106 logp*logq = 39.05412937590410059 -------------- ************************************* p = 397; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98006686382740096.82 -------------- Searches starting with [397,691]-exponents: u = 1, v = 10 n_start has 31 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(397,691) = 0.8377683715517969341 D2(397,691) = 0.06224176471108081352 C1(397,691) = 1.205351374650515738 C2(397,691) = 1.848031144628455413 C3(397,691) = 8.640568166179217024 C4(397,691) = 5528 Sum = 4716.437409310292008 Averaged sum = 0.4712196432521023087 logp*logq = 39.12381209964911319 -------------- ************************************* p = 397; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106805911893760024.3 -------------- Searches starting with [397,701]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(397,701) = 0.7242103045159243536 D2(397,701) = 0.05529859334072078815 C1(397,701) = 1.137463447749482467 C2(397,701) = 1.843681201655707195 C3(397,701) = 7.652340156970823533 C4(397,701) = 5608 Sum = 3662.996130153152480 Averaged sum = 0.3659702397994957019 logp*logq = 39.20978967471524586 -------------- ************************************* p = 397; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114310317262855255.4 -------------- Searches starting with [397,709]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(397,709) = 0.7267581266628047714 D2(397,709) = 0.04343247770272827055 C1(397,709) = 0.9624154508381125255 C2(397,709) = 1.601540592737456200 C3(397,709) = 5.594796000298529751 C4(397,709) = 5672 Sum = 3225.920661266053428 Averaged sum = 0.3223019943317068067 logp*logq = 39.27769322640471892 -------------- ************************************* p = 397; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124303584163854606.0 -------------- Searches starting with [397,719]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(397,719) = 0.7370909607792441812 D2(397,719) = 0.02749857095659640292 C1(397,719) = 1.287193064289089040 C2(397,719) = 2.148900772714191187 C3(397,719) = 10.00304508880555885 C4(397,719) = 5752 Sum = 3983.551537928691736 Averaged sum = 0.3979969565319903822 logp*logq = 39.36150322779727266 -------------- ************************************* p = 397; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132812692002369836.8 -------------- Searches starting with [397,727]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(397,727) = 0.7024422332699547471 D2(397,727) = 0.03913355889579610275 C1(397,727) = 0.9765400647147583191 C2(397,727) = 1.874328514411047177 C3(397,727) = 5.737978234539439697 C4(397,727) = 5816 Sum = 3950.044267860624477 Averaged sum = 0.3946492424678413904 logp*logq = 39.42771619969327856 -------------- ************************************* p = 397; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139508163545471009.9 -------------- Searches starting with [397,733]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(397,733) = 0.6978562760043389224 D2(397,733) = 0.03531446381470415209 C1(397,733) = 1.029810501738639841 C2(397,733) = 1.872022418337986907 C3(397,733) = 6.311743354742857932 C4(397,733) = 5864 Sum = 3306.949501834593594 Averaged sum = 0.3303975923503440497 logp*logq = 39.47689951449909359 -------------- ************************************* p = 397; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 146482428458244213.0 -------------- Searches starting with [397,739]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(397,739) = 0.5795938273067724247 D2(397,739) = 0.03156385119477123711 C1(397,739) = 0.8130020054017811358 C2(397,739) = 1.869772231871923501 C3(397,739) = 4.282446606864948641 C4(397,739) = 5912 Sum = 4007.587551465562781 Averaged sum = 0.4003983965896256151 logp*logq = 39.52568187390961400 -------------- ************************************* p = 397; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 151291359031235623.6 -------------- Searches starting with [397,743]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(397,743) = 0.6566957320486477639 D2(397,743) = 0.02910030535176589973 C1(397,743) = 0.9038531528753500028 C2(397,743) = 1.868302086906366904 C3(397,743) = 5.038277845769059781 C4(397,743) = 5944 Sum = 4157.622282241200500 Averaged sum = 0.4153883786833050755 logp*logq = 39.55798390258190837 -------------- ************************************* p = 397; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161304375918145201.8 -------------- Searches starting with [397,751]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(397,751) = 0.5835751589652329121 D2(397,751) = 0.02225459952590441007 C1(397,751) = 0.7964209457081143168 C2(397,751) = 1.711324191923661050 C3(397,751) = 4.157274388443037497 C4(397,751) = 6008 Sum = 3967.138557252174723 Averaged sum = 0.3963571343043435631 logp*logq = 39.62206950873861838 -------------- ************************************* p = 397; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169171145065012235.9 -------------- Searches starting with [397,757]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(397,757) = 0.7020889491608023389 D2(397,757) = 0.01795377653120703369 C1(397,757) = 0.9677943147934497538 C2(397,757) = 1.616158216936231671 C3(397,757) = 5.648895788418078862 C4(397,757) = 6056 Sum = 4131.186609553016597 Averaged sum = 0.4127471884856645616 logp*logq = 39.66968729009881932 -------------- ************************************* p = 397; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 174591134185482262.4 -------------- Searches starting with [397,761]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(397,761) = 0.7665116367966640517 D2(397,761) = 0.01479815167773450333 C1(397,761) = 1.115293522939989670 C2(397,761) = 1.500723670015072261 C3(397,761) = 7.354760319224009011 C4(397,761) = 6088 Sum = 3452.230452757213577 Averaged sum = 0.3449126239141985789 logp*logq = 39.70122325916602154 -------------- ************************************* p = 397; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 185865732726697519.0 -------------- Searches starting with [397,769]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(397,769) = 0.8257127612312087283 D2(397,769) = 0.009184448543923899237 C1(397,769) = 1.467437082536748819 C2(397,769) = 1.241149864604611555 C3(397,769) = 13.80954845550431225 C4(397,769) = 6152 Sum = 4115.984519156140607 Averaged sum = 0.4112283464038505951 logp*logq = 39.76380094089163945 -------------- ************************************* p = 397; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 191726462287273315.0 -------------- Searches starting with [397,773]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(397,773) = 1.056992091859394355 D2(397,773) = 0.01017654512792512597 C1(397,773) = 1.878261164418919657 C2(397,773) = 1.099296122349614433 C3(397,773) = 28.79946584943669434 C4(397,773) = 6184 Sum = 3360.977852351117216 Averaged sum = 0.3357955692228111916 logp*logq = 39.79484607553616503 -------------- ************************************* p = 397; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 213465782114496352.6 -------------- Searches starting with [397,787]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(397,787) = 0.7754359317523434894 D2(397,787) = 0.003858495722458360165 C1(397,787) = 1.154115468014760262 C2(397,787) = 1.901200613623047273 C3(397,787) = 7.883746830037081602 C4(397,787) = 6296 Sum = 4118.834786356272670 Averaged sum = 0.4115131168304798351 logp*logq = 39.90225294360809428 -------------- ************************************* p = 397; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 230219293228892381.9 -------------- Searches starting with [397,797]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(397,797) = 0.5648971647230481200 D2(397,797) = 0.1346112675072190959 C1(397,797) = 0.7778934782070753333 C2(397,797) = 1.859131722753763197 C3(397,797) = 4.021731651566381004 C4(397,797) = 6376 Sum = 4013.455763625754198 Averaged sum = 0.4009846901414481164 logp*logq = 39.97780869841153357 -------------- ************************************* p = 397; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 251755322419559632.4 -------------- Searches starting with [397,809]-exponents: u = 19, v = 8 n_start has 73 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(397,809) = 0.6794028657204670251 D2(397,809) = 0.1273506600137394462 C1(397,809) = 0.9951126328804469275 C2(397,809) = 1.868220718626535492 C3(397,809) = 5.931841523827838957 C4(397,809) = 6472 Sum = 3657.620271122993086 Averaged sum = 0.3654331372887394431 logp*logq = 40.06723406797230813 -------------- ************************************* p = 397; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 255502662894858808.6 -------------- Searches starting with [397,811]-exponents: u = 19, v = 8 n_start has 73 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(397,811) = 0.7337600110505944718 D2(397,811) = 0.1148233291730159641 C1(397,811) = 1.037816889222520549 C2(397,811) = 1.856144602684568085 C3(397,811) = 6.402803742955641594 C4(397,811) = 6488 Sum = 4391.113749118972777 Averaged sum = 0.4387165300348658984 logp*logq = 40.08200922678920828 -------------- ************************************* p = 397; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 274943686994383237.1 -------------- Searches starting with [397,821]-exponents: u = 37, v = 8 n_start has 120 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(397,821) = 0.7808211174140097407 D2(397,821) = 0.05904631189492642983 C1(397,821) = 1.057103521283194276 C2(397,821) = 1.802606865783558923 C3(397,821) = 6.627590271328443826 C4(397,821) = 6568 Sum = 3861.056009296836349 Averaged sum = 0.3857584183531657857 logp*logq = 40.15534269704220332 -------------- ************************************* p = 397; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 278976002334734837.2 -------------- Searches starting with [397,823]-exponents: u = 37, v = 8 n_start has 120 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(397,823) = 0.6223479752397878309 D2(397,823) = 0.04899835161696592175 C1(397,823) = 0.9131720245800617326 C2(397,823) = 1.793003441244638140 C3(397,823) = 5.122981123511183145 C4(397,823) = 6584 Sum = 3968.181992545726348 Averaged sum = 0.3964613840089645667 logp*logq = 40.16990215989555776 -------------- ************************************* p = 397; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287188514825440966.0 -------------- Searches starting with [397,827]-exponents: u = 55, v = 8 n_start has 167 digits starting right neighbors generation We generated 1740 left neighbors We generated 8270 right neighbors We generated 10009 non-negative rho_i D1(397,827) = 1.034394187695924672 D2(397,827) = 0.02978504371286790429 C1(397,827) = 1.421622747244705342 C2(397,827) = 1.774675927743668057 C3(397,827) = 12.72278936371042709 C4(397,827) = 6616 Sum = 4392.978366385235367 Averaged sum = 0.4389028240968363839 logp*logq = 40.19891524112301290 -------------- ************************************* p = 397; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 291369670290900022.0 -------------- Searches starting with [397,829]-exponents: u = 64, v = 8 n_start has 190 digits starting right neighbors generation We generated 2297 left neighbors We generated 7713 right neighbors We generated 10009 non-negative rho_i D1(397,829) = 0.7127763500530707490 D2(397,829) = 0.02057723128519382564 C1(397,829) = 1.009999013061009629 C2(397,829) = 1.765909384618032688 C3(397,829) = 6.091946253649999567 C4(397,829) = 6632 Sum = 4470.852928752354776 Averaged sum = 0.4466832779251028850 logp*logq = 40.21336920051939077 -------------- ************************************* p = 397; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 313043920176575111.5 -------------- Searches starting with [397,839]-exponents: u = 9, v = 2647 n_start has 7763 digits --- performed 5000 steps in the continued fraction search [397,839]-exponents: u = 213, v = 2464 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(397,839) = 0.7755937984228967454 D2(397,839) = 0.6016162602369028673 C1(397,839) = 0.9490269186331893374 C2(397,839) = 1.501646873991765246 C3(397,839) = 5.462375364947954374 C4(397,839) = 6712 Sum = 6225.472316899025135 Averaged sum = 0.6226094926391664301 logp*logq = 40.28511989565985633 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(397,839) = 0.7755937984228967454 D2(397,839) = 0.6016162602369028673 C1(397,839) = 0.9490269186331893374 C2(397,839) = 1.501646873991765246 C3(397,839) = 5.462375364947954374 C4(397,839) = 6712 Sum = 6225.472316899025135 Averaged sum = 0.6226094926391664301 logp*logq = 40.28511989565985633 -------------- ************************************* p = 397; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 345630647103182196.6 -------------- Searches starting with [397,853]-exponents: u = 9, v = 39 n_start has 138 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(397,853) = 0.7668749018291785039 D2(397,853) = 0.02277185139746341106 C1(397,853) = 1.040692700063008066 C2(397,853) = 1.567036797989286818 C3(397,853) = 6.435831390281191022 C4(397,853) = 6824 Sum = 4001.972844038988080 Averaged sum = 0.3998374307162541792 logp*logq = 40.38414710586952454 -------------- ************************************* p = 397; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 355443315178571043.0 -------------- Searches starting with [397,857]-exponents: u = 9, v = 31 n_start has 115 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(397,857) = 0.7521289667724960853 D2(397,857) = 0.03650625249800580344 C1(397,857) = 1.060089578401644628 C2(397,857) = 1.636091034772208842 C3(397,857) = 6.663091530892618672 C4(397,857) = 6856 Sum = 4250.766608460806402 Averaged sum = 0.4246944358538122092 logp*logq = 40.41214218046583900 -------------- ************************************* p = 397; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 360435982530414815.8 -------------- Searches starting with [397,859]-exponents: u = 9, v = 31 n_start has 115 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(397,859) = 0.8819549451778749410 D2(397,859) = 0.04314186115927421934 C1(397,859) = 1.325766806925447321 C2(397,859) = 1.643110974967601790 C3(397,859) = 10.71774750431584985 C4(397,859) = 6872 Sum = 3238.217475779727459 Averaged sum = 0.3235305700649143230 logp*logq = 40.42609075620057494 -------------- ************************************* p = 397; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 370596677105178632.1 -------------- Searches starting with [397,863]-exponents: u = 9, v = 23 n_start has 91 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(397,863) = 0.7064283673301938612 D2(397,863) = 0.05939505326287099283 C1(397,863) = 0.9593410222983568325 C2(397,863) = 1.733605651590838659 C3(397,863) = 5.564106894820912102 C4(397,863) = 6904 Sum = 3886.721501636804375 Averaged sum = 0.3883226597698875387 logp*logq = 40.45389074246480915 -------------- ************************************* p = 397; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 408058135439400898.6 -------------- Searches starting with [397,877]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(397,877) = 1.083388932484834946 D2(397,877) = 0.1218233764284813879 C1(397,877) = 1.460361895986361188 C2(397,877) = 1.906921523641866093 C3(397,877) = 13.63584797164773303 C4(397,877) = 7016 Sum = 3792.316692965446226 Averaged sum = 0.3788906676956185658 logp*logq = 40.55018604798634000 -------------- ************************************* p = 397; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 419322517091165304.2 -------------- Searches starting with [397,881]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(397,881) = 0.9734745885764406445 D2(397,881) = 0.09248999088254816307 C1(397,881) = 1.588214507081548963 C2(397,881) = 1.213701545186103512 C3(397,881) = 17.14043984350003883 C4(397,881) = 7048 Sum = 2922.945516909021848 Averaged sum = 0.2920317231400761163 logp*logq = 40.57741674927005132 -------------- ************************************* p = 397; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 425051091368153386.9 -------------- Searches starting with [397,883]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(397,883) = 0.8221359469507752843 D2(397,883) = 0.09976742955665512177 C1(397,883) = 1.080466649347966892 C2(397,883) = 1.285328395041553376 C3(397,883) = 6.910484506800735185 C4(397,883) = 7064 Sum = 3587.459938307563121 Averaged sum = 0.3584234127592729665 logp*logq = 40.59098577159375029 -------------- ************************************* p = 397; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 436703931156416639.1 -------------- Searches starting with [397,887]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(397,887) = 0.8234633170191243874 D2(397,887) = 0.1164459727606756098 C1(397,887) = 1.163646024263424418 C2(397,887) = 1.920167862409067200 C3(397,887) = 8.019324497325493225 C4(397,887) = 7096 Sum = 4653.321416895150860 Averaged sum = 0.4649137193421071895 logp*logq = 40.61803185732279290 -------------- ************************************* p = 397; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 499037922062520425.1 -------------- Searches starting with [397,907]-exponents: u = 33, v = 7 n_start has 107 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(397,907) = 0.7015051573194727751 D2(397,907) = 0.02842060196246700894 C1(397,907) = 1.060448427799974877 C2(397,907) = 1.836317750485478017 C3(397,907) = 6.667370674275628115 C4(397,907) = 7256 Sum = 3036.724136120038694 Averaged sum = 0.3033993541932299624 logp*logq = 40.75145848389192070 -------------- ************************************* p = 397; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 512353124861205793.4 -------------- Searches starting with [397,911]-exponents: u = 33, v = 7 n_start has 107 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(397,911) = 0.7300573652623241642 D2(397,911) = 0.01332740514296267470 C1(397,911) = 1.081782216997280182 C2(397,911) = 1.822048393953823710 C3(397,911) = 6.926768551722203137 C4(397,911) = 7288 Sum = 4111.792084424415984 Averaged sum = 0.4108094799105221285 logp*logq = 40.77779047921306574 -------------- ************************************* p = 397; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 539872492222777233.3 -------------- Searches starting with [397,919]-exponents: u = 57, v = 7 n_start has 169 digits starting right neighbors generation We generated 1661 left neighbors We generated 8349 right neighbors We generated 10009 non-negative rho_i D1(397,919) = 0.5939262469595996987 D2(397,919) = 0.02815994782703503080 C1(397,919) = 0.8484784362789703051 C2(397,919) = 1.734335630531866489 C3(397,919) = 4.563065271713146021 C4(397,919) = 7352 Sum = 4213.155460124623401 Averaged sum = 0.4209367029797805376 logp*logq = 40.83010938107361161 -------------- ************************************* p = 397; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 575992611547314559.3 -------------- Searches starting with [397,929]-exponents: u = 201, v = 7 n_start has 544 digits --- performed 5000 steps in the continued fraction search [397,929]-exponents: u = 143, v = 31 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(397,929) = 0.5030718117494596351 D2(397,929) = 0.1578820709595039692 C1(397,929) = 0.6839642146132643075 C2(397,929) = 1.467661861775855114 C3(397,929) = 3.399627049518647851 C4(397,929) = 7432 Sum = 4786.385941578480397 Averaged sum = 0.4786864628041284525 logp*logq = 40.89487122834950648 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(397,929) = 0.5030718117494596351 D2(397,929) = 0.1578820709595039692 C1(397,929) = 0.6839642146132643075 C2(397,929) = 1.467661861775855114 C3(397,929) = 3.399627049518647851 C4(397,929) = 7432 Sum = 4786.385941578480397 Averaged sum = 0.4786864628041284525 logp*logq = 40.89487122834950648 -------------- ************************************* p = 397; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 606317850856331883.7 -------------- Searches starting with [397,937]-exponents: u = 8, v = 216 n_start has 663 digits --- performed 5000 steps in the continued fraction search [397,937]-exponents: u = 81, v = 131 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(397,937) = 0.5976589104864323949 D2(397,937) = 0.2301292179818874746 C1(397,937) = 0.7917386088024756519 C2(397,937) = 1.478052202851317823 C3(397,937) = 4.122594077684619436 C4(397,937) = 7496 Sum = 4911.328339422273972 Averaged sum = 0.4911819521374411413 logp*logq = 40.94618074983820049 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(397,937) = 0.5976589104864323949 D2(397,937) = 0.2301292179818874746 C1(397,937) = 0.7917386088024756519 C2(397,937) = 1.478052202851317823 C3(397,937) = 4.122594077684619436 C4(397,937) = 7496 Sum = 4911.328339422273972 Averaged sum = 0.4911819521374411413 logp*logq = 40.94618074983820049 -------------- ************************************* p = 397; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 621971996397395606.2 -------------- Searches starting with [397,941]-exponents: u = 8, v = 104 n_start has 331 digits --- performed 5000 steps in the continued fraction search [397,941]-exponents: u = 46, v = 13 --- starting right neighbors generation We generated 6777 left neighbors We generated 3233 right neighbors We generated 10009 non-negative rho_i D1(397,941) = 0.7702495946846990158 D2(397,941) = 0.0005475799196283060846 C1(397,941) = 1.058595276934839540 C2(397,941) = 1.655663050825475108 C3(397,941) = 6.645302060293510780 C4(397,941) = 7528 Sum = 4337.608506834534267 Averaged sum = 0.4333708169482000467 logp*logq = 40.97167146476721104 -------------- ************************************* p = 397; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 646083460466491872.1 -------------- Searches starting with [397,947]-exponents: u = 8, v = 55 n_start has 185 digits starting right neighbors generation We generated 2058 left neighbors We generated 7952 right neighbors We generated 10009 non-negative rho_i D1(397,947) = 0.6673463062116650250 D2(397,947) = 0.01063137625898358591 C1(397,947) = 0.9111146868014007580 C2(397,947) = 1.745791999956168282 C3(397,947) = 5.104159427336222571 C4(397,947) = 7576 Sum = 4184.612535206141352 Averaged sum = 0.4180849770412769859 logp*logq = 41.00970508611679583 -------------- ************************************* p = 397; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 670968438000462825.6 -------------- Searches starting with [397,953]-exponents: u = 8, v = 41 n_start has 143 digits starting right neighbors generation We generated 1162 left neighbors We generated 8848 right neighbors We generated 10009 non-negative rho_i D1(397,953) = 1.265750637298475616 D2(397,953) = 0.04497570050080002044 C1(397,953) = 1.853917446334270767 C2(397,953) = 1.781128085702837651 C3(397,953) = 27.57208961380160074 C4(397,953) = 7624 Sum = 3868.054268428541643 Averaged sum = 0.3864576149893637369 logp*logq = 41.04749849351894620 -------------- ************************************* p = 397; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 732152907868588443.5 -------------- Searches starting with [397,967]-exponents: u = 8, v = 20 n_start has 81 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(397,967) = 0.6716467713737021793 D2(397,967) = 0.02025387125136971631 C1(397,967) = 0.9151638871917533631 C2(397,967) = 1.759181459164276289 C3(397,967) = 5.141269940325304075 C4(397,967) = 7736 Sum = 3935.110257181877960 Averaged sum = 0.3931571842523606714 logp*logq = 41.13476577758826626 -------------- ************************************* p = 397; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 750463420046949392.2 -------------- Searches starting with [397,971]-exponents: u = 8, v = 20 n_start has 81 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(397,971) = 0.6042328835383462020 D2(397,971) = 0.03054477421472603865 C1(397,971) = 0.8389734192979632839 C2(397,971) = 1.770176925972998023 C3(397,971) = 4.486125376057089992 C4(397,971) = 7768 Sum = 3899.969705862795511 Averaged sum = 0.3896462889262459297 logp*logq = 41.15946730401944875 -------------- ************************************* p = 397; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 778643307698223234.6 -------------- Searches starting with [397,977]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(397,977) = 0.5758260239841537524 D2(397,977) = 0.04960484208627159609 C1(397,977) = 0.7962933868143389162 C2(397,977) = 1.907676846726091164 C3(397,977) = 4.156325753105998293 C4(397,977) = 7816 Sum = 3925.480854725746368 Averaged sum = 0.3921951098736883173 logp*logq = 41.19632945106549698 -------------- ************************************* p = 397; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 807699041037528833.2 -------------- Searches starting with [397,983]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(397,983) = 1.392569840449560103 D2(397,983) = 0.06730612550737369162 C1(397,983) = 2.077479222792964668 C2(397,983) = 1.926419875261700726 C3(397,983) = 41.13147335549023974 C4(397,983) = 7864 Sum = 4792.187087720856888 Averaged sum = 0.4787877997523086111 logp*logq = 41.23296591008266940 -------------- ************************************* p = 397; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 847839879968004909.7 -------------- Searches starting with [397,991]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(397,991) = 0.5653847376041715950 D2(397,991) = 0.09217874565729582585 C1(397,991) = 0.9390237524368538768 C2(397,991) = 1.952671455570545510 C3(397,991) = 5.365487792393059006 C4(397,991) = 7928 Sum = 4126.115235365995646 Averaged sum = 0.4122405070802273600 logp*logq = 41.28146819208125112 -------------- ************************************* p = 397; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 879024039995653895.5 -------------- Searches starting with [397,997]-exponents: u = 15, v = 6 n_start has 57 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(397,997) = 1.313573853485695426 D2(397,997) = 0.06687599156382874037 C1(397,997) = 2.181388955201759621 C2(397,997) = 1.178883897723704426 C3(397,997) = 49.53484103657570581 C4(397,997) = 7976 Sum = 3158.430308186912116 Averaged sum = 0.3155590276937668214 logp*logq = 41.31758864147745714 -------------- ************************************* p = 401; q = 409; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4514074963823417.581 -------------- Searches starting with [401,409]-exponents: u = 1, v = 303 n_start has 794 digits --- performed 5000 steps in the continued fraction search [401,409]-exponents: u = 272, v = 16 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(401,409) = 0.6331887056004464486 D2(401,409) = 0.008994300980011298420 C1(401,409) = 0.8315234473810918085 C2(401,409) = 1.103778929542592704 C3(401,409) = 4.432894338174801622 C4(401,409) = 3272 Sum = 5239.586486193558313 Averaged sum = 0.5240110497243282641 logp*logq = 36.04597668012945939 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(401,409) = 0.6331887056004464486 D2(401,409) = 0.008994300980011298420 C1(401,409) = 0.8315234473810918085 C2(401,409) = 1.103778929542592704 C3(401,409) = 4.432894338174801622 C4(401,409) = 3272 Sum = 5239.586486193558313 Averaged sum = 0.5240110497243282641 logp*logq = 36.04597668012945939 -------------- ************************************* p = 401; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5217346827871711.911 -------------- Searches starting with [401,419]-exponents: u = 1, v = 136 n_start has 360 digits starting right neighbors generation We generated 2209 left neighbors We generated 7801 right neighbors We generated 10009 non-negative rho_i D1(401,419) = 0.5689807438821441073 D2(401,419) = 0.003733825422210438555 C1(401,419) = 0.7757701186159707032 C2(401,419) = 1.234778254937203977 C3(401,419) = 4.011688822679361684 C4(401,419) = 3352 Sum = 4792.478412380315636 Averaged sum = 0.4788169060226112135 logp*logq = 36.19076539706932458 -------------- ************************************* p = 401; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5368409754478557.923 -------------- Searches starting with [401,421]-exponents: u = 1, v = 123 n_start has 326 digits starting right neighbors generation We generated 1879 left neighbors We generated 8131 right neighbors We generated 10009 non-negative rho_i D1(401,421) = 0.7420183332628959640 D2(401,421) = 0.001349309021280551952 C1(401,421) = 1.017681472192947227 C2(401,421) = 1.252788366299165687 C3(401,421) = 6.186785675116912161 C4(401,421) = 3368 Sum = 4436.454649347649483 Averaged sum = 0.4432465430460235271 logp*logq = 36.21930812446838562 -------------- ************************************* p = 401; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6179525638773031.132 -------------- Searches starting with [401,431]-exponents: u = 1, v = 83 n_start has 222 digits starting right neighbors generation We generated 879 left neighbors We generated 9131 right neighbors We generated 10009 non-negative rho_i D1(401,431) = 0.8276064099307860084 D2(401,431) = 0.01270422940444793912 C1(401,431) = 1.162091492066784638 C2(401,431) = 1.346557182267338435 C3(401,431) = 8.012623886324613081 C4(401,431) = 3448 Sum = 3946.185578358713681 Averaged sum = 0.3942637204874326787 logp*logq = 36.36001790595418649 -------------- ************************************* p = 401; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6353408128218791.969 -------------- Searches starting with [401,433]-exponents: u = 1, v = 78 n_start has 209 digits starting right neighbors generation We generated 754 left neighbors We generated 9256 right neighbors We generated 10009 non-negative rho_i D1(401,433) = 0.8468579453072280601 D2(401,433) = 0.02526314052206024827 C1(401,433) = 1.193930854224247656 C2(401,433) = 1.371960501744712158 C3(401,433) = 8.482750106265984849 C4(401,433) = 3464 Sum = 3860.446046623062475 Averaged sum = 0.3856974769330664877 logp*logq = 36.38776777694164303 -------------- ************************************* p = 401; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6899703167889064.562 -------------- Searches starting with [401,439]-exponents: u = 1, v = 66 n_start has 178 digits starting right neighbors generation We generated 575 left neighbors We generated 9435 right neighbors We generated 10009 non-negative rho_i D1(401,439) = 0.6643782606808850351 D2(401,439) = 0.01420985504160824157 C1(401,439) = 0.9473359377968239159 C2(401,439) = 1.401860675077429333 C3(401,439) = 5.454517862304015782 C4(401,439) = 3512 Sum = 3599.473954462918541 Averaged sum = 0.3596237340856148008 logp*logq = 36.47025478644203656 -------------- ************************************* p = 401; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7285206326462900.656 -------------- Searches starting with [401,443]-exponents: u = 1, v = 60 n_start has 162 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(401,443) = 0.6844016514131120323 D2(401,443) = 0.02806684604932805100 C1(401,443) = 0.9825397772298444645 C2(401,443) = 1.438126152736916527 C3(401,443) = 5.809448219295543557 C4(401,443) = 3544 Sum = 3454.960580842996311 Averaged sum = 0.3451853912321906595 logp*logq = 36.52462215625190379 -------------- ************************************* p = 401; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7897002285228814.409 -------------- Searches starting with [401,449]-exponents: u = 1, v = 53 n_start has 144 digits starting right neighbors generation We generated 411 left neighbors We generated 9599 right neighbors We generated 10009 non-negative rho_i D1(401,449) = 1.102803946884714364 D2(401,449) = 0.004650868391935684955 C1(401,449) = 1.597880273427733294 C2(401,449) = 1.451128221602261149 C3(401,449) = 17.48613267310564502 C4(401,449) = 3592 Sum = 3323.399285752428516 Averaged sum = 0.3320410915928093232 logp*logq = 36.60525962480544839 -------------- ************************************* p = 401; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8778798951177631.683 -------------- Searches starting with [401,457]-exponents: u = 1, v = 45 n_start has 123 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(401,457) = 0.6985873706728239228 D2(401,457) = 0.02194129491966136761 C1(401,457) = 1.023509226514668384 C2(401,457) = 1.506609172273267792 C3(401,457) = 6.251689458634508663 C4(401,457) = 3656 Sum = 4502.273140485440396 Averaged sum = 0.4498224738221041459 logp*logq = 36.71111599948506521 -------------- ************************************* p = 401; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9249549920791691.735 -------------- Searches starting with [401,461]-exponents: u = 1, v = 42 n_start has 115 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(401,461) = 1.132180275768892228 D2(401,461) = 0.05409506356434215133 C1(401,461) = 1.667950121766159734 C2(401,461) = 1.553524295475471440 C3(401,461) = 19.82385293973636278 C4(401,461) = 3688 Sum = 5974.348746688455718 Averaged sum = 0.5968976667687536934 logp*logq = 36.76335128803950956 -------------- ************************************* p = 401; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9492697498209749.623 -------------- Searches starting with [401,463]-exponents: u = 1, v = 41 n_start has 112 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(401,463) = 0.6756143528980349597 D2(401,463) = 0.006889320693226060063 C1(401,463) = 0.9249660020613129358 C2(401,463) = 1.521470807545040450 C3(401,463) = 5.240333868874340974 C4(401,463) = 3704 Sum = 4259.367177556827396 Averaged sum = 0.4255537194082153458 logp*logq = 36.78929921352886776 -------------- ************************************* p = 401; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9994991275669566.253 -------------- Searches starting with [401,467]-exponents: u = 1, v = 39 n_start has 107 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(401,467) = 0.9106656908307706982 D2(401,467) = 0.01213538254016111099 C1(401,467) = 1.250709327131864578 C2(401,467) = 1.543593168003924524 C3(401,467) = 9.390616034337259186 C4(401,467) = 3736 Sum = 4406.196000836258548 Averaged sum = 0.4402233990245038014 logp*logq = 36.84086048999318958 -------------- ************************************* p = 401; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11636642164601778.06 -------------- Searches starting with [401,479]-exponents: u = 1, v = 33 n_start has 92 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(401,479) = 0.5883629476670975810 D2(401,479) = 0.01220744102209651238 C1(401,479) = 0.8018836701437653270 C2(401,479) = 1.592531254714840433 C3(401,479) = 4.203742559096790696 C4(401,479) = 3832 Sum = 4257.057413327847752 Averaged sum = 0.4253229506771753174 logp*logq = 36.99293532176593522 -------------- ************************************* p = 401; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12851236865472472.08 -------------- Searches starting with [401,487]-exponents: u = 1, v = 30 n_start has 84 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(401,487) = 0.6679859891073448810 D2(401,487) = 0.05859402208913932988 C1(401,487) = 1.013135658900293926 C2(401,487) = 1.662460483643787028 C3(401,487) = 6.136627033356231356 C4(401,487) = 3896 Sum = 3972.073468228238716 Averaged sum = 0.3968501816593304742 logp*logq = 37.09221645574215464 -------------- ************************************* p = 401; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13497043933114551.41 -------------- Searches starting with [401,491]-exponents: u = 1, v = 29 n_start has 81 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(401,491) = 0.5359015987088101271 D2(401,491) = 0.07142524846604147310 C1(401,491) = 0.7693540567989408589 C2(401,491) = 1.687868375013546313 C3(401,491) = 3.965859988369518301 C4(401,491) = 3928 Sum = 4303.181962450941655 Averaged sum = 0.4299312581127926521 logp*logq = 37.14124708846065377 -------------- ************************************* p = 401; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14869987295099971.69 -------------- Searches starting with [401,499]-exponents: u = 1, v = 27 n_start has 76 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(401,499) = 0.6166051367184985707 D2(401,499) = 0.07203480217816868635 C1(401,499) = 0.8394117948769860234 C2(401,499) = 1.715503133754794240 C3(401,499) = 4.495958123846591974 C4(401,499) = 3992 Sum = 4025.993479336734745 Averaged sum = 0.4022373343327739779 logp*logq = 37.23812130098426505 -------------- ************************************* p = 401; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15598911555680768.83 -------------- Searches starting with [401,503]-exponents: u = 1, v = 26 n_start has 73 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(401,503) = 0.6456051918689478805 D2(401,503) = 0.05968675927993732218 C1(401,503) = 0.9341060675489216036 C2(401,503) = 1.717730437116274921 C3(401,503) = 5.326811316911071733 C4(401,503) = 4024 Sum = 3978.294288080666346 Averaged sum = 0.3974717042742198367 logp*logq = 37.28597753466024681 -------------- ************************************* p = 401; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16747962582155693.15 -------------- Searches starting with [401,509]-exponents: u = 1, v = 25 n_start has 71 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(401,509) = 0.6798759666149629794 D2(401,509) = 0.08269700768647923611 C1(401,509) = 1.053580628352035318 C2(401,509) = 1.756704783146103529 C3(401,509) = 6.597575147518373215 C4(401,509) = 4072 Sum = 3741.246294306961636 Averaged sum = 0.3737882200326667635 logp*logq = 37.35705300889716743 -------------- ************************************* p = 401; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19258413963100433.87 -------------- Searches starting with [401,521]-exponents: u = 1, v = 22 n_start has 63 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(401,521) = 0.7228649535232622759 D2(401,521) = 0.09059523439269422089 C1(401,521) = 1.130180976509382830 C2(401,521) = 1.799318369636483335 C3(401,521) = 7.567588428726265415 C4(401,521) = 4168 Sum = 3858.667457416388754 Averaged sum = 0.3855197779414915330 logp*logq = 37.49672444914114095 -------------- ************************************* p = 401; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19705808732075516.49 -------------- Searches starting with [401,523]-exponents: u = 1, v = 22 n_start has 63 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(401,523) = 0.6636132235940481405 D2(401,523) = 0.004825992533356442038 C1(401,523) = 0.8963550473352727899 C2(401,523) = 1.731386984419528198 C3(401,523) = 4.978606696498266130 C4(401,523) = 4184 Sum = 3862.968193888288725 Averaged sum = 0.3859494648704454715 logp*logq = 37.51968984668832929 -------------- ************************************* p = 401; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24136760453005718.52 -------------- Searches starting with [401,541]-exponents: u = 1, v = 20 n_start has 58 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(401,541) = 1.103528306765247237 D2(401,541) = 0.03967203756912517226 C1(401,541) = 1.752618903744217618 C2(401,541) = 1.809879187492946643 C3(401,541) = 23.06939258016211980 C4(401,541) = 4328 Sum = 1786.529232784033808 Averaged sum = 0.1784922802261998009 logp*logq = 37.72251240327333572 -------------- ************************************* p = 401; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25786382621878900.71 -------------- Searches starting with [401,547]-exponents: u = 1, v = 19 n_start has 55 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(401,547) = 0.6136946725062354506 D2(401,547) = 0.1466676609065895647 C1(401,547) = 0.8810284136992219195 C2(401,547) = 1.918550738422865377 C3(401,547) = 4.843820961145159194 C4(401,547) = 4376 Sum = 3785.732848902280369 Averaged sum = 0.3782328753024558267 logp*logq = 37.78862294214644926 -------------- ************************************* p = 401; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28744193304956619.80 -------------- Searches starting with [401,557]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(401,557) = 0.7168450054386628514 D2(401,557) = 0.1467645692831994448 C1(401,557) = 1.012367452938245196 C2(401,557) = 1.943086778813003292 C3(401,557) = 6.128190883444694840 C4(401,557) = 4456 Sum = 3999.243219432024902 Averaged sum = 0.3995647137008717056 logp*logq = 37.89721216975344439 -------------- ************************************* p = 401; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30650758355448221.05 -------------- Searches starting with [401,563]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(401,563) = 1.070043609784319394 D2(401,563) = 0.05964489973765806774 C1(401,563) = 1.546072402437231930 C2(401,563) = 1.881208328855782344 C3(401,563) = 15.93683460672121371 C4(401,563) = 4504 Sum = 5220.179725026422562 Averaged sum = 0.5215485787817386913 logp*logq = 37.96143379941579630 -------------- ************************************* p = 401; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32661539600765626.82 -------------- Searches starting with [401,569]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(401,569) = 0.6560654311874898191 D2(401,569) = 0.1288286594751187156 C1(401,569) = 1.062595040593124703 C2(401,569) = 1.376148730454246333 C3(401,569) = 6.704941294355434646 C4(401,569) = 4552 Sum = 4115.076472894720131 Averaged sum = 0.4111376234283864653 logp*logq = 38.02497462159808025 -------------- ************************************* p = 401; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33355734008462866.57 -------------- Searches starting with [401,571]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(401,571) = 0.9056738238152317111 D2(401,571) = 0.0002645556169493853967 C1(401,571) = 1.466791157678133365 C2(401,571) = 1.849838149949271046 C3(401,571) = 13.82750856019435477 C4(401,571) = 4568 Sum = 3728.066389766891303 Averaged sum = 0.3724714147034560199 logp*logq = 38.04600608678005512 -------------- ************************************* p = 401; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35512505833210207.55 -------------- Searches starting with [401,577]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(401,577) = 0.7285156260825568930 D2(401,577) = 0.07553841884354820454 C1(401,577) = 1.095453315628775131 C2(401,577) = 1.926737738690311640 C3(401,577) = 7.111305207562510771 C4(401,577) = 4616 Sum = 3550.211608082635235 Averaged sum = 0.3547019290720986347 logp*logq = 38.10866130634892128 -------------- ************************************* p = 401; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39364975460831298.51 -------------- Searches starting with [401,587]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(401,587) = 0.5760022964842689443 D2(401,587) = 0.01544014391354894044 C1(401,587) = 0.8213181055553403527 C2(401,587) = 1.897788869218763469 C3(401,587) = 4.352617892544663961 C4(401,587) = 4696 Sum = 4171.430779940755136 Averaged sum = 0.4167679868059501585 logp*logq = 38.21165286817162105 -------------- ************************************* p = 401; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41839151442316815.57 -------------- Searches starting with [401,593]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(401,593) = 0.7397203663643918050 D2(401,593) = 0.08698873572439605053 C1(401,593) = 1.080089658571252633 C2(401,593) = 1.970933086471757398 C3(401,593) = 6.918322262801998874 C4(401,593) = 4744 Sum = 3718.173595567365978 Averaged sum = 0.3714830248343856507 logp*logq = 38.27260893344631767 -------------- ************************************* p = 401; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44441554403146620.40 -------------- Searches starting with [401,599]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(401,599) = 0.8008752890964168747 D2(401,599) = 0.1071908662155787059 C1(401,599) = 1.318142578539032887 C2(401,599) = 1.264326165131545648 C3(401,599) = 10.59590030089536059 C4(401,599) = 4792 Sum = 3904.833287257338863 Averaged sum = 0.3901322097369706128 logp*logq = 38.33295133663896943 -------------- ************************************* p = 401; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45338421586702595.72 -------------- Searches starting with [401,601]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(401,601) = 0.5845820657724899193 D2(401,601) = 0.1349764410177901258 C1(401,601) = 0.8241673579026707358 C2(401,601) = 1.779977462273870867 C3(401,601) = 4.374883033801202316 C4(401,601) = 4808 Sum = 3875.798936522325825 Averaged sum = 0.3872313854053677515 logp*logq = 38.35293122656323645 -------------- ************************************* p = 401; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48120004493304775.58 -------------- Searches starting with [401,607]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(401,607) = 0.6409107060005366969 D2(401,607) = 0.04199697997057985442 C1(401,607) = 0.9751322398253810875 C2(401,607) = 1.961232378817023559 C3(401,607) = 5.732894371543140936 C4(401,607) = 4856 Sum = 3808.678288820096705 Averaged sum = 0.3805253560615542716 logp*logq = 38.41247437939423250 -------------- ************************************* p = 401; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51042338626315897.04 -------------- Searches starting with [401,613]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(401,613) = 0.7787077659532419068 D2(401,613) = 0.09530132823014713111 C1(401,613) = 1.069477951097993229 C2(401,613) = 1.365906624047022998 C3(401,613) = 6.788095054701488610 C4(401,613) = 4904 Sum = 4062.609417248258401 Averaged sum = 0.4058956356527383755 logp*logq = 38.47143185237865018 -------------- ************************************* p = 401; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53071534436961286.54 -------------- Searches starting with [401,617]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(401,617) = 0.7771417169100548794 D2(401,617) = 0.1053037118510446244 C1(401,617) = 1.050025296649147262 C2(401,617) = 1.326048827046467958 C3(401,617) = 6.555703672193533249 C4(401,617) = 4936 Sum = 4127.777831443732712 Averaged sum = 0.4124066171889032583 logp*logq = 38.51041710478570232 -------------- ************************************* p = 401; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54111063194682270.44 -------------- Searches starting with [401,619]-exponents: u = 1, v = 13 n_start has 39 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(401,619) = 0.7006361000745735721 D2(401,619) = 0.1199328084011860068 C1(401,619) = 0.9921453983003614904 C2(401,619) = 1.794076028526380437 C3(401,619) = 5.910242636152539470 C4(401,619) = 4952 Sum = 3912.010052524114181 Averaged sum = 0.3908492409355694056 logp*logq = 38.52981505513744478 -------------- ************************************* p = 401; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60711082230143942.99 -------------- Searches starting with [401,631]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(401,631) = 0.9120572657633534730 D2(401,631) = 0.06927311272461651271 C1(401,631) = 1.248672820627178065 C2(401,631) = 2.030089971998163974 C3(401,631) = 9.356431962681604085 C4(401,631) = 5048 Sum = 4271.213200617909543 Averaged sum = 0.4267372565309131325 logp*logq = 38.64490265011954117 -------------- ************************************* p = 401; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66711201237539362.15 -------------- Searches starting with [401,641]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(401,641) = 0.8873444992763111862 D2(401,641) = 0.1025814963307884317 C1(401,641) = 1.216996542131883693 C2(401,641) = 1.809694374941841776 C3(401,641) = 8.840466451582884970 C4(401,641) = 5128 Sum = 4262.987946034053681 Averaged sum = 0.4259154706797935539 logp*logq = 38.73914926832862010 -------------- ************************************* p = 401; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67968588562748401.53 -------------- Searches starting with [401,643]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(401,643) = 0.6427153542886864001 D2(401,643) = 0.1009184404660167489 C1(401,643) = 0.8648293196722986353 C2(401,643) = 1.808575401635553423 C3(401,643) = 4.705327114009079910 C4(401,643) = 5144 Sum = 3885.927257634418773 Averaged sum = 0.3882433067873332773 logp*logq = 38.75782206046216331 -------------- ************************************* p = 401; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70542660373887531.06 -------------- Searches starting with [401,647]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(401,647) = 0.6980689437062897763 D2(401,647) = 0.09763355255805046540 C1(401,647) = 1.077376269115546724 C2(401,647) = 1.806373525098181454 C3(401,647) = 6.884787610935057101 C4(401,647) = 5176 Sum = 3683.128603657502800 Averaged sum = 0.3679816768565793585 logp*logq = 38.79499403340900214 -------------- ************************************* p = 401; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74555730496586305.28 -------------- Searches starting with [401,653]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(401,653) = 0.5962821373083130263 D2(401,653) = 0.03050220942852238348 C1(401,653) = 0.8318651348852893771 C2(401,653) = 2.036900451011189930 C3(401,653) = 4.435607557644553704 C4(401,653) = 5224 Sum = 4069.166435761391297 Averaged sum = 0.4065507479030264059 logp*logq = 38.85032330099537203 -------------- ************************************* p = 401; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78757231826615425.35 -------------- Searches starting with [401,659]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(401,659) = 0.7807491888250326047 D2(401,659) = 0.06191198828866811685 C1(401,659) = 1.325928855340651456 C2(401,659) = 1.265072403580981129 C3(401,659) = 10.74467687106265592 C4(401,659) = 5272 Sum = 3962.069155429208949 Averaged sum = 0.3958506499579587321 logp*logq = 38.90514650111898774 -------------- ************************************* p = 401; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80200812005994911.51 -------------- Searches starting with [401,661]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(401,661) = 1.294792769180634277 D2(401,661) = 0.05602158247318242229 C1(401,661) = 2.198769070008967401 C2(401,661) = 1.141842229286064142 C3(401,661) = 51.28771670426892719 C4(401,661) = 5288 Sum = 4209.342962638691521 Averaged sum = 0.4205557960474264683 logp*logq = 38.92331003449492783 -------------- ************************************* p = 401; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89333265759907345.80 -------------- Searches starting with [401,673]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(401,673) = 0.6464918374128839212 D2(401,673) = 0.07888922012329904621 C1(401,673) = 0.9050641522147603017 C2(401,673) = 1.824955656464792205 C3(401,673) = 5.056860942514443935 C4(401,673) = 5384 Sum = 4247.597069425196812 Averaged sum = 0.4243777669522626448 logp*logq = 39.03115033033419854 -------------- ************************************* p = 401; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92563399597240286.18 -------------- Searches starting with [401,677]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(401,677) = 0.8667996523632255302 D2(401,677) = 0.06992260502481515467 C1(401,677) = 1.195765590485504393 C2(401,677) = 1.679119574669609981 C3(401,677) = 8.510666514285298375 C4(401,677) = 5416 Sum = 4231.630663709684442 Averaged sum = 0.4227825620651098453 logp*logq = 39.06667020570028344 -------------- ************************************* p = 401; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 97590685056670855.23 -------------- Searches starting with [401,683]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(401,683) = 0.7796240460286829946 D2(401,683) = 0.01188394510619625983 C1(401,683) = 1.138358029650396106 C2(401,683) = 2.071481609753125401 C3(401,683) = 7.679216515959334909 C4(401,683) = 5464 Sum = 4403.487527282796078 Averaged sum = 0.4399527952125882784 logp*logq = 39.11955844378191963 -------------- ************************************* p = 401; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104645821011030208.2 -------------- Searches starting with [401,691]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(401,691) = 1.128376597027055832 D2(401,691) = 0.03813284198642358700 C1(401,691) = 1.941579657034597735 C2(401,691) = 1.052118145413218983 C3(401,691) = 32.35888676848605034 C4(401,691) = 5528 Sum = 1087.118922223515973 Averaged sum = 0.1086141394968044732 logp*logq = 39.18935791000038338 -------------- ************************************* p = 401; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114057548462717506.1 -------------- Searches starting with [401,701]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(401,701) = 0.5597521818171493953 D2(401,701) = 0.06010879090860834081 C1(401,701) = 0.8201000285759327192 C2(401,701) = 1.848164191223729783 C3(401,701) = 4.343133985663512198 C4(401,701) = 5608 Sum = 4024.047950354221587 Averaged sum = 0.4020429563746849422 logp*logq = 39.27547952700740343 -------------- ************************************* p = 401; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122085356743735228.2 -------------- Searches starting with [401,709]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(401,709) = 0.7906093025301035341 D2(401,709) = 0.05464806988825687497 C1(401,709) = 1.242165423684156130 C2(401,709) = 1.844750998423479324 C3(401,709) = 9.248032994635310236 C4(401,709) = 5672 Sum = 3175.571779224586668 Averaged sum = 0.3172716334523515504 logp*logq = 39.34349684044662315 -------------- ************************************* p = 401; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132776977184669483.7 -------------- Searches starting with [401,719]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(401,719) = 0.6486564196776112969 D2(401,719) = 0.04179250751238143073 C1(401,719) = 0.8750903497727655405 C2(401,719) = 1.601925002847215292 C3(401,719) = 4.792586577755091001 C4(401,719) = 5752 Sum = 3865.502600020883613 Averaged sum = 0.3862026775922553315 logp*logq = 39.42744725235037208 -------------- ************************************* p = 401; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141881862737545228.7 -------------- Searches starting with [401,727]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(401,727) = 0.7388502454208708554 D2(401,727) = 0.02714206155206266032 C1(401,727) = 1.290779687500555838 C2(401,727) = 2.150381210037997833 C3(401,727) = 10.08921463927573834 C4(401,727) = 5816 Sum = 3959.363581651521049 Averaged sum = 0.3955803358628755169 logp*logq = 39.49377115369485901 -------------- ************************************* p = 401; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149046818173458827.1 -------------- Searches starting with [401,733]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(401,733) = 0.8390151345483238574 D2(401,733) = 0.03952830763327285675 C1(401,733) = 1.129921376463131720 C2(401,733) = 1.289139678007171845 C3(401,733) = 7.564071230051138581 C4(401,733) = 5864 Sum = 4283.258044733897053 Averaged sum = 0.4279406578812965384 logp*logq = 39.54303686742991176 -------------- ************************************* p = 401; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156510728308255485.0 -------------- Searches starting with [401,739]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(401,739) = 0.7334306586964506601 D2(401,739) = 0.03616910312697843197 C1(401,739) = 1.062689277262236835 C2(401,739) = 1.874031548413828253 C3(401,739) = 6.706072879210361361 C4(401,739) = 5912 Sum = 3546.123765068246552 Averaged sum = 0.3542935123457135130 logp*logq = 39.59190095403179751 -------------- ************************************* p = 401; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161657630157745403.6 -------------- Searches starting with [401,743]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(401,743) = 0.6406770698899638470 D2(401,743) = 0.03367670190121691050 C1(401,743) = 0.9064116234462735047 C2(401,743) = 1.872532521684704755 C3(401,743) = 5.069077818525465786 C4(401,743) = 5944 Sum = 4193.204611716346106 Averaged sum = 0.4189434121007439411 logp*logq = 39.62425709968635124 -------------- ************************************* p = 401; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172375231017092908.4 -------------- Searches starting with [401,751]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(401,751) = 0.6655784763705087167 D2(401,751) = 0.02877931527525052265 C1(401,751) = 0.9273085080070655331 C2(401,751) = 1.869605632812390742 C3(401,751) = 5.262362446290156572 C4(401,751) = 6008 Sum = 3978.536148818746262 Averaged sum = 0.3974958686001345051 logp*logq = 39.68845007122393710 -------------- ************************************* p = 401; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180796345316609658.1 -------------- Searches starting with [401,757]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(401,757) = 0.6318995018158116033 D2(401,757) = 0.02310021905310704348 C1(401,757) = 0.8956447799251936545 C2(401,757) = 1.713212975259594967 C3(401,757) = 4.972278366498013692 C4(401,757) = 6056 Sum = 3855.937136611216545 Averaged sum = 0.3852469913688896538 logp*logq = 39.73614762870765162 -------------- ************************************* p = 401; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 186598646785527857.2 -------------- Searches starting with [401,761]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(401,761) = 0.6458406285822505275 D2(401,761) = 0.02093083270265386815 C1(401,761) = 0.8782301438407727809 C2(401,761) = 1.711986345701610803 C3(401,761) = 4.819609244720869396 C4(401,761) = 6088 Sum = 3935.590240911218556 Averaged sum = 0.3932051394656028130 logp*logq = 39.76773643134440626 -------------- ************************************* p = 401; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 198669483551924170.0 -------------- Searches starting with [401,769]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(401,769) = 0.7019487323548570717 D2(401,769) = 0.01511972715302532818 C1(401,769) = 1.021656485304023600 C2(401,769) = 1.551156893519632840 C3(401,769) = 6.230981967652261389 C4(401,769) = 6152 Sum = 4241.675443458135277 Averaged sum = 0.4237861368226731219 logp*logq = 39.83041895216004337 -------------- ************************************* p = 401; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204944600908692761.5 -------------- Searches starting with [401,773]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(401,773) = 0.7480395555459345647 D2(401,773) = 0.01218900682332087386 C1(401,773) = 1.014676814097492062 C2(401,773) = 1.429666880965815049 C3(401,773) = 6.153586457633987348 C4(401,773) = 6184 Sum = 4180.017562128311528 Averaged sum = 0.4176258929092128612 logp*logq = 39.86151609805803671 -------------- ************************************* p = 401; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 228223751641907181.2 -------------- Searches starting with [401,787]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(401,787) = 0.8671751312408005084 D2(401,787) = 0.008267379861395238865 C1(401,787) = 1.213137407704662017 C2(401,787) = 1.905240397712840891 C3(401,787) = 8.779582774421566483 C4(401,787) = 6296 Sum = 3973.664924005472360 Averaged sum = 0.3970091841348258927 logp*logq = 39.96910290948996205 -------------- ************************************* p = 401; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 246166675995191593.4 -------------- Searches starting with [401,797]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(401,797) = 0.7429947731954935252 D2(401,797) = 0.002720404401795090646 C1(401,797) = 1.027730170045620046 C2(401,797) = 1.902069893584184186 C3(401,797) = 6.299122927976119709 C4(401,797) = 6376 Sum = 4228.778309697401850 Averaged sum = 0.4224975831449097662 logp*logq = 40.04478524610916815 -------------- ************************************* p = 401; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 269234847817866284.9 -------------- Searches starting with [401,809]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(401,809) = 0.6102924739091321377 D2(401,809) = 0.1464718536068019892 C1(401,809) = 0.8370195081688810611 C2(401,809) = 1.477316882109315234 C3(401,809) = 4.476738665950828051 C4(401,809) = 6472 Sum = 4144.300263973871867 Averaged sum = 0.4140573747601030939 logp*logq = 40.13436043384969712 -------------- ************************************* p = 401; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 273249132203175333.5 -------------- Searches starting with [401,811]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(401,811) = 0.8895025681968271285 D2(401,811) = 0.1138919377683699288 C1(401,811) = 1.430505072597455420 C2(401,811) = 1.240391971247101871 C3(401,811) = 12.95757531025026947 C4(401,811) = 6488 Sum = 2949.844276319120469 Averaged sum = 0.2947191803695794254 logp*logq = 40.14916034612761624 -------------- ************************************* p = 401; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294076600757508920.3 -------------- Searches starting with [401,821]-exponents: u = 19, v = 8 n_start has 73 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(401,821) = 0.7174843182289886961 D2(401,821) = 0.1092879447298427859 C1(401,821) = 0.9947046928899783785 C2(401,821) = 1.852445364350722981 C3(401,821) = 5.937391817786815949 C4(401,821) = 6568 Sum = 4260.085099958984187 Averaged sum = 0.4256254470935142558 logp*logq = 40.22261667510719346 -------------- ************************************* p = 401; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 298396797235238189.0 -------------- Searches starting with [401,823]-exponents: u = 19, v = 8 n_start has 73 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(401,823) = 0.9674574466915167772 D2(401,823) = 0.09762670865118497820 C1(401,823) = 1.487383099733386412 C2(401,823) = 1.841228614389380062 C3(401,823) = 14.34691669078361688 C4(401,823) = 6584 Sum = 4136.277281886915778 Averaged sum = 0.4132557979705181115 logp*logq = 40.23720053005681326 -------------- ************************************* p = 401; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307195951734867162.4 -------------- Searches starting with [401,827]-exponents: u = 28, v = 8 n_start has 97 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(401,827) = 0.6150916149173581004 D2(401,827) = 0.07557920338645227279 C1(401,827) = 0.8789571349632612220 C2(401,827) = 1.820066804697445497 C3(401,827) = 4.825887792981833463 C4(401,827) = 6616 Sum = 4081.294200260107969 Averaged sum = 0.4077624338355587939 logp*logq = 40.26626221815097651 -------------- ************************************* p = 401; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 311675941181192755.3 -------------- Searches starting with [401,829]-exponents: u = 28, v = 8 n_start has 97 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(401,829) = 0.8649718893971646778 D2(401,829) = 0.06512042115164283260 C1(401,829) = 1.293939992133223512 C2(401,829) = 1.810049242554639820 C3(401,829) = 10.14647464267923940 C4(401,829) = 6632 Sum = 4360.633180333096727 Averaged sum = 0.4356712139407629860 logp*logq = 40.28074039288912647 -------------- ************************************* p = 401; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334900978027948352.6 -------------- Searches starting with [401,839]-exponents: u = 73, v = 8 n_start has 214 digits starting right neighbors generation We generated 2926 left neighbors We generated 7084 right neighbors We generated 10009 non-negative rho_i D1(401,839) = 0.5789733495090281341 D2(401,839) = 0.01737873232345281967 C1(401,839) = 0.7845483625729538846 C2(401,839) = 1.764497586520721778 C3(401,839) = 4.075249484681263028 C4(401,839) = 6712 Sum = 3842.988476963352441 Averaged sum = 0.3839532897355732282 logp*logq = 40.35261129506474162 -------------- ************************************* p = 401; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 369824295167134811.0 -------------- Searches starting with [401,853]-exponents: u = 9, v = 127 n_start has 396 digits --- performed 5000 steps in the continued fraction search [401,853]-exponents: u = 40, v = 58 --- --- performed 1000 steps in the first trivial search [401,853]-exponents: u = 5, v = 27 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(401,853) = 0.5988887213715080383 D2(401,853) = 0.01044502157494403615 C1(401,853) = 0.9169728238260557510 C2(401,853) = 1.682364891058254030 C3(401,853) = 5.165859036696671503 C4(401,853) = 6824 Sum = 4540.140399492621041 Averaged sum = 0.4540594458938514893 logp*logq = 40.45180440983206096 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(401,853) = 0.5988887213715080383 D2(401,853) = 0.01044502157494403615 C1(401,853) = 0.9169728238260557510 C2(401,853) = 1.682364891058254030 C3(401,853) = 5.165859036696671503 C4(401,853) = 6824 Sum = 4540.140399492621041 Averaged sum = 0.4540594458938514893 logp*logq = 40.45180440983206096 -------------- ************************************* p = 401; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 380341674013081595.5 -------------- Searches starting with [401,857]-exponents: u = 9, v = 71 n_start has 232 digits starting right neighbors generation We generated 1723 left neighbors We generated 8287 right neighbors We generated 10009 non-negative rho_i D1(401,857) = 0.6105237432010558498 D2(401,857) = 0.005002686776362050298 C1(401,857) = 0.8600221844404696266 C2(401,857) = 1.417346306818238014 C3(401,857) = 4.664995668493986713 C4(401,857) = 6856 Sum = 3721.018841697592236 Averaged sum = 0.3717672936055142608 logp*logq = 40.47984638578465395 -------------- ************************************* p = 401; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 385693084478447600.1 -------------- Searches starting with [401,859]-exponents: u = 9, v = 55 n_start has 185 digits starting right neighbors generation We generated 1246 left neighbors We generated 8764 right neighbors We generated 10009 non-negative rho_i D1(401,859) = 0.6164509227612116228 D2(401,859) = 0.01074846081313588381 C1(401,859) = 0.8421844219981318500 C2(401,859) = 1.477987790562846818 C3(401,859) = 4.518336465517683155 C4(401,859) = 6872 Sum = 4190.753536564043916 Averaged sum = 0.4186985249839188646 logp*logq = 40.49381833017010958 -------------- ************************************* p = 401; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 396584247342742205.8 -------------- Searches starting with [401,863]-exponents: u = 9, v = 39 n_start has 138 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(401,863) = 0.6245530694033172184 D2(401,863) = 0.02328353854389366593 C1(401,863) = 0.8690336094611473319 C2(401,863) = 1.569130271315731852 C3(401,863) = 4.740886473634274129 C4(401,863) = 6904 Sum = 4215.176357501589682 Averaged sum = 0.4211386110002587354 logp*logq = 40.52166489095072278 -------------- ************************************* p = 401; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 436743090768909538.8 -------------- Searches starting with [401,877]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(401,877) = 0.8093286642743132955 D2(401,877) = 0.07905217137400851904 C1(401,877) = 1.254161203518227888 C2(401,877) = 1.863948228449177160 C3(401,877) = 9.448843497634031203 C4(401,877) = 7016 Sum = 3510.509125476371325 Averaged sum = 0.3507352508218974248 logp*logq = 40.61812152415211660 -------------- ************************************* p = 401; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 448819791208267482.0 -------------- Searches starting with [401,881]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(401,881) = 1.057332551227257454 D2(401,881) = 0.09535939733419120601 C1(401,881) = 1.458608676680226008 C2(401,881) = 1.881012122157528370 C3(401,881) = 13.62637405282406192 C4(401,881) = 7048 Sum = 4461.452505235365929 Averaged sum = 0.4457440808507708991 logp*logq = 40.64539784620451805 -------------- ************************************* p = 401; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 454961684896298009.1 -------------- Searches starting with [401,883]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(401,883) = 0.6549042989161886222 D2(401,883) = 0.1037967031955554976 C1(401,883) = 0.9667120986908399722 C2(401,883) = 1.889826450497247196 C3(401,883) = 5.647100005619582753 C4(401,883) = 7064 Sum = 3459.920704037921287 Averaged sum = 0.3456809575420043248 logp*logq = 40.65898960129673191 -------------- ************************************* p = 401; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 467455708745570065.1 -------------- Searches starting with [401,887]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(401,887) = 0.8471141341198254839 D2(401,887) = 0.1213063681266814122 C1(401,887) = 1.142149500525544568 C2(401,887) = 1.908087557551741587 C3(401,887) = 7.731532618857996384 C4(401,887) = 7096 Sum = 3771.301652049019262 Averaged sum = 0.3767910532569706526 logp*logq = 40.68608099850006095 -------------- ************************************* p = 401; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 534298550221003429.8 -------------- Searches starting with [401,907]-exponents: u = 17, v = 7 n_start has 65 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(401,907) = 0.7267186511613956528 D2(401,907) = 0.07012978470751425300 C1(401,907) = 1.131034701146275161 C2(401,907) = 1.877595557870887623 C3(401,907) = 7.579166678450512868 C4(401,907) = 7256 Sum = 3571.233834653148653 Averaged sum = 0.3568022614300278403 logp*logq = 40.81973116045318034 -------------- ************************************* p = 401; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 548578768212756470.9 -------------- Searches starting with [401,911]-exponents: u = 25, v = 7 n_start has 86 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(401,911) = 0.5272057578263789861 D2(401,911) = 0.05327483696746829007 C1(401,911) = 0.7408615767849881877 C2(401,911) = 1.861564354128785525 C3(401,911) = 3.768585551253259360 C4(401,911) = 7288 Sum = 4089.967350873694380 Averaged sum = 0.4086289690152557078 logp*logq = 40.84610727090214304 -------------- ************************************* p = 401; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 578094546159268498.3 -------------- Searches starting with [401,919]-exponents: u = 33, v = 7 n_start has 107 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(401,919) = 0.5267518611474098527 D2(401,919) = 0.02194281145781991538 C1(401,919) = 0.7459171738025500990 C2(401,919) = 1.831868870023349829 C3(401,919) = 3.802858682911989043 C4(401,919) = 7352 Sum = 4091.127338036953007 Averaged sum = 0.4087448634266113505 logp*logq = 40.89851382487619982 -------------- ************************************* p = 401; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 616838830823297044.0 -------------- Searches starting with [401,929]-exponents: u = 57, v = 7 n_start has 170 digits starting right neighbors generation We generated 1661 left neighbors We generated 8349 right neighbors We generated 10009 non-negative rho_i D1(401,929) = 0.6499883092551988014 D2(401,929) = 0.03151128582607575435 C1(401,929) = 0.8922796578040654906 C2(401,929) = 1.739219708995598576 C3(401,929) = 4.942405015354517901 C4(401,929) = 7432 Sum = 4002.740647036863369 Averaged sum = 0.3999141419759080196 logp*logq = 40.96338417046889296 -------------- ************************************* p = 401; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 649370387017712597.9 -------------- Searches starting with [401,937]-exponents: u = 129, v = 7 n_start has 357 digits --- performed 5000 steps in the continued fraction search [401,937]-exponents: u = 43, v = 33 --- starting right neighbors generation We generated 7900 left neighbors We generated 2110 right neighbors We generated 10009 non-negative rho_i D1(401,937) = 0.9208595062285434626 D2(401,937) = 0.001157934901777255163 C1(401,937) = 1.260179495708026196 C2(401,937) = 1.638109981586673680 C3(401,937) = 9.551226970256621878 C4(401,937) = 7496 Sum = 4429.836632990899393 Averaged sum = 0.4425853364962433203 logp*logq = 41.01477965301261266 -------------- ************************************* p = 401; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 666164527770246203.3 -------------- Searches starting with [401,941]-exponents: u = 289, v = 7 n_start has 774 digits --- performed 5000 steps in the continued fraction search [401,941]-exponents: u = 95, v = 159 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(401,941) = 0.5121585673932844804 D2(401,941) = 0.2603599054697777365 C1(401,941) = 0.6775745823432738732 C2(401,941) = 1.472796676913130157 C3(401,941) = 3.364799576392013489 C4(401,941) = 7528 Sum = 5023.644149346678358 Averaged sum = 0.5024146564003078665 logp*logq = 41.04031307363610409 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(401,941) = 0.5121585673932844804 D2(401,941) = 0.2603599054697777365 C1(401,941) = 0.6775745823432738732 C2(401,941) = 1.472796676913130157 C3(401,941) = 3.364799576392013489 C4(401,941) = 7528 Sum = 5023.644149346678358 Averaged sum = 0.5024146564003078665 logp*logq = 41.04031307363610409 -------------- ************************************* p = 401; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 692033260965586417.8 -------------- Searches starting with [401,947]-exponents: u = 8, v = 279 n_start has 852 digits --- performed 5000 steps in the continued fraction search [401,947]-exponents: u = 128, v = 158 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(401,947) = 0.7580782503259308252 D2(401,947) = 0.2877070602801314312 C1(401,947) = 0.9935484929085796758 C2(401,947) = 1.483460762811794639 C3(401,947) = 5.925111355290518351 C4(401,947) = 7576 Sum = 5077.496686173367438 Averaged sum = 0.5078004486622029640 logp*logq = 41.07841041435244185 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(401,947) = 0.7580782503259308252 D2(401,947) = 0.2877070602801314312 C1(401,947) = 0.9935484929085796758 C2(401,947) = 1.483460762811794639 C3(401,947) = 5.925111355290518351 C4(401,947) = 7576 Sum = 5077.496686173367438 Averaged sum = 0.5078004486622029640 logp*logq = 41.07841041435244185 -------------- ************************************* p = 401; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 718733577942019357.2 -------------- Searches starting with [401,953]-exponents: u = 8, v = 90 n_start has 289 digits starting right neighbors generation We generated 5097 left neighbors We generated 4913 right neighbors We generated 10009 non-negative rho_i D1(401,953) = 0.6786955301315254215 D2(401,953) = 0.009132805257140847369 C1(401,953) = 0.9409290138141432793 C2(401,953) = 1.666040043549836435 C3(401,953) = 5.392294637004117937 C4(401,953) = 7624 Sum = 4170.361023931128170 Averaged sum = 0.4166611073964560065 logp*logq = 41.11626713868055537 -------------- ************************************* p = 401; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 784388340892924230.0 -------------- Searches starting with [401,967]-exponents: u = 8, v = 34 n_start has 123 digits starting right neighbors generation We generated 798 left neighbors We generated 9212 right neighbors We generated 10009 non-negative rho_i D1(401,967) = 1.051981560773120803 D2(401,967) = 0.06261225420764101223 C1(401,967) = 1.421371361854225560 C2(401,967) = 1.800916998243543449 C3(401,967) = 12.74736224564786502 C4(401,967) = 7736 Sum = 3970.127367064014813 Averaged sum = 0.3966557465345204129 logp*logq = 41.20368062539589851 -------------- ************************************* p = 401; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 804038489422640061.2 -------------- Searches starting with [401,971]-exponents: u = 8, v = 27 n_start has 102 digits starting right neighbors generation We generated 471 left neighbors We generated 9539 right neighbors We generated 10009 non-negative rho_i D1(401,971) = 1.224348375142604944 D2(401,971) = 0.001998175957068643366 C1(401,971) = 1.740414612704636544 C2(401,971) = 1.662243397565717097 C3(401,971) = 22.57068357629196029 C4(401,971) = 7768 Sum = 5185.550430838647127 Averaged sum = 0.5180887631969874240 logp*logq = 41.22842353536002307 -------------- ************************************* p = 401; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 834281640873747947.0 -------------- Searches starting with [401,977]-exponents: u = 8, v = 20 n_start has 81 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(401,977) = 0.5363660319383397480 D2(401,977) = 0.01680334735408955497 C1(401,977) = 0.7525688137109510199 C2(401,977) = 1.757192119425519652 C3(401,977) = 3.848427063578072359 C4(401,977) = 7816 Sum = 4085.732872655853672 Averaged sum = 0.4082059019538269230 logp*logq = 41.26534743915138197 -------------- ************************************* p = 401; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 865466685193784694.5 -------------- Searches starting with [401,983]-exponents: u = 8, v = 20 n_start has 81 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(401,983) = 0.6647769688324702796 D2(401,983) = 0.03202068435098171885 C1(401,983) = 0.9036509685242345722 C2(401,983) = 1.773454208789844188 C3(401,983) = 5.044079914354657574 C4(401,983) = 7864 Sum = 4020.335012130339066 Averaged sum = 0.4016719964162592732 logp*logq = 41.30204527680897331 -------------- ************************************* p = 401; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 908552271166507650.2 -------------- Searches starting with [401,991]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(401,991) = 1.424537775225238786 D2(401,991) = 0.05680148914330985438 C1(401,991) = 2.045085793617605262 C2(401,991) = 1.917077271186014697 C3(401,991) = 38.94858980761259179 C4(401,991) = 7928 Sum = 5993.128136718584685 Averaged sum = 0.5987739171464266845 logp*logq = 41.35062881677314860 -------------- ************************************* p = 401; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 942026480773627636.3 -------------- Searches starting with [401,997]-exponents: u = 8, v = 13 n_start has 60 digits starting right neighbors generation We generated 167 left neighbors We generated 9843 right neighbors We generated 10009 non-negative rho_i D1(401,997) = 0.5845538219076824660 D2(401,997) = 0.07460078694997417761 C1(401,997) = 0.8166140836221871040 C2(401,997) = 1.935903398524753877 C3(401,997) = 4.316106571426503305 C4(401,997) = 7976 Sum = 4134.212970282262325 Averaged sum = 0.4130495524310382980 logp*logq = 41.38680978031659304 -------------- ************************************* p = 409; q = 419; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5878252162547378.975 -------------- Searches starting with [409,419]-exponents: u = 1, v = 248 n_start has 653 digits --- performed 5000 steps in the continued fraction search [409,419]-exponents: u = 2, v = 226 --- starting right neighbors generation We generated 6843 left neighbors We generated 3167 right neighbors We generated 10009 non-negative rho_i D1(409,419) = 0.9349342507284611859 D2(409,419) = 0.005007677572571825697 C1(409,419) = 1.238714719542537612 C2(409,419) = 1.133005300654589670 C3(409,419) = 9.228597849801385995 C4(409,419) = 3352 Sum = 5130.000774588782570 Averaged sum = 0.5125387925455872284 logp*logq = 36.31003586136585343 -------------- ************************************* p = 409; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6049019902949391.094 -------------- Searches starting with [409,421]-exponents: u = 1, v = 207 n_start has 546 digits starting right neighbors generation We generated 4924 left neighbors We generated 5086 right neighbors We generated 10009 non-negative rho_i D1(409,421) = 0.9468683983770772689 D2(409,421) = 0.00008119756279131203805 C1(409,421) = 1.264842204724001620 C2(409,421) = 1.158098629036424641 C3(409,421) = 9.671476139776854208 C4(409,421) = 3368 Sum = 5074.453996114127026 Averaged sum = 0.5069891094129410556 logp*logq = 36.33867265431759966 -------------- ************************************* p = 409; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6966199180266342.689 -------------- Searches starting with [409,431]-exponents: u = 1, v = 114 n_start has 303 digits starting right neighbors generation We generated 1532 left neighbors We generated 8478 right neighbors We generated 10009 non-negative rho_i D1(409,431) = 0.6814801155717619164 D2(409,431) = 0.007403704161963978208 C1(409,431) = 0.9386761276366855067 C2(409,431) = 1.274662949601448152 C3(409,431) = 5.387196249262062864 C4(409,431) = 3448 Sum = 4806.287212420216180 Averaged sum = 0.4801965443521047237 logp*logq = 36.47984615965076170 -------------- ************************************* p = 409; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7162872504794734.476 -------------- Searches starting with [409,433]-exponents: u = 1, v = 105 n_start has 280 digits starting right neighbors generation We generated 1312 left neighbors We generated 8698 right neighbors We generated 10009 non-negative rho_i D1(409,433) = 0.5611002545693199938 D2(409,433) = 0.01272090808579362393 C1(409,433) = 0.7769595652460711093 C2(409,433) = 1.296865907185048187 C3(409,433) = 4.030533106649205295 C4(409,433) = 3464 Sum = 4227.928221925270778 Averaged sum = 0.4224126508068009569 logp*logq = 36.50768748324941697 -------------- ************************************* p = 409; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7780883891214184.190 -------------- Searches starting with [409,439]-exponents: u = 1, v = 84 n_start has 225 digits starting right neighbors generation We generated 814 left neighbors We generated 9196 right neighbors We generated 10009 non-negative rho_i D1(409,439) = 0.9323359249134587648 D2(409,439) = 0.01984463947641129400 C1(409,439) = 1.307845593874640065 C2(409,439) = 1.350239896169593010 C3(409,439) = 10.44716726486888241 C4(409,439) = 3512 Sum = 5353.100672965417482 Averaged sum = 0.5348287214472392328 logp*logq = 36.59044633734368971 -------------- ************************************* p = 409; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8217092907391099.577 -------------- Searches starting with [409,443]-exponents: u = 1, v = 75 n_start has 202 digits starting right neighbors generation We generated 724 left neighbors We generated 9286 right neighbors We generated 10009 non-negative rho_i D1(409,443) = 0.6027861432851297737 D2(409,443) = 0.01002855491055711761 C1(409,443) = 0.8524984803155874519 C2(409,443) = 1.369494782889874276 C3(409,443) = 4.615493021113915640 C4(409,443) = 3544 Sum = 3776.236357062491546 Averaged sum = 0.3772840800342183581 logp*logq = 36.64499288052468241 -------------- ************************************* p = 409; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8909514078979921.071 -------------- Searches starting with [409,449]-exponents: u = 1, v = 64 n_start has 173 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(409,449) = 0.7012268421475637947 D2(409,449) = 0.03266466120943632454 C1(409,449) = 0.9592740200972625760 C2(409,449) = 1.427320269964612514 C3(409,449) = 5.589996003383690791 C4(409,449) = 3592 Sum = 4201.738522388696866 Averaged sum = 0.4197960358066437073 logp*logq = 36.72589609831587251 -------------- ************************************* p = 409; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9907825890686134.418 -------------- Searches starting with [409,457]-exponents: u = 1, v = 54 n_start has 147 digits starting right neighbors generation We generated 419 left neighbors We generated 9591 right neighbors We generated 10009 non-negative rho_i D1(409,457) = 0.6605760150015010859 D2(409,457) = 0.002084919480621870192 C1(409,457) = 0.9563140278419021163 C2(409,457) = 1.445576501595860775 C3(409,457) = 5.560389832989544528 C4(409,457) = 3656 Sum = 3282.511905618727276 Averaged sum = 0.3279560301347514513 logp*logq = 36.83210133378409833 -------------- ************************************* p = 409; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10440916587116811.94 -------------- Searches starting with [409,461]-exponents: u = 1, v = 50 n_start has 136 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(409,461) = 0.9232516471699274557 D2(409,461) = 0.02399606557888256048 C1(409,461) = 1.234420121922712196 C2(409,461) = 1.485248450249005548 C3(409,461) = 9.157767562659970451 C4(409,461) = 3688 Sum = 3452.618682745546883 Averaged sum = 0.3449514120037513122 logp*logq = 36.88450876921220500 -------------- ************************************* p = 409; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10716298575701227.21 -------------- Searches starting with [409,463]-exponents: u = 1, v = 48 n_start has 131 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(409,463) = 0.9958054935101908417 D2(409,463) = 0.004310105117258178151 C1(409,463) = 1.384591347720793618 C2(409,463) = 1.478068646725621956 C3(409,463) = 11.98931729046596377 C4(409,463) = 3704 Sum = 4880.417362219081884 Averaged sum = 0.4876028936176523013 logp*logq = 36.91054220881232301 -------------- ************************************* p = 409; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11285255108124048.17 -------------- Searches starting with [409,467]-exponents: u = 1, v = 45 n_start has 123 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(409,467) = 0.7694495193435726809 D2(409,467) = 0.04496589877590961155 C1(409,467) = 1.049201162714294162 C2(409,467) = 1.532601172399137769 C3(409,467) = 6.568672174600188289 C4(409,467) = 3736 Sum = 4243.289935147293608 Averaged sum = 0.4239474408179931670 logp*logq = 36.96227341087275062 -------------- ************************************* p = 409; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13145414969433439.31 -------------- Searches starting with [409,479]-exponents: u = 1, v = 38 n_start has 105 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(409,479) = 0.8380203863116296226 D2(409,479) = 0.01956640463993347892 C1(409,479) = 1.248403092049304444 C2(409,479) = 1.562893229306341995 C3(409,479) = 9.390405522053342468 C4(409,479) = 3832 Sum = 2740.042874679339872 Averaged sum = 0.2737579053531161826 logp*logq = 37.11484942120843487 -------------- ************************************* p = 409; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14522241222718776.13 -------------- Searches starting with [409,487]-exponents: u = 1, v = 34 n_start has 94 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(409,487) = 0.6768166603450248405 D2(409,487) = 0.03612614459051252476 C1(409,487) = 0.9616698600384693486 C2(409,487) = 1.608937446714650971 C3(409,487) = 5.614074854619790263 C4(409,487) = 3896 Sum = 4250.702524173834510 Averaged sum = 0.4246880331875146878 logp*logq = 37.21445774657768817 -------------- ************************************* p = 409; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15254485180064121.46 -------------- Searches starting with [409,491]-exponents: u = 1, v = 32 n_start has 89 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(409,491) = 0.7717275591594973868 D2(409,491) = 0.06769538823581413982 C1(409,491) = 1.164345443701625213 C2(409,491) = 1.651544516086897530 C3(409,491) = 8.075909277540489967 C4(409,491) = 3928 Sum = 4353.576178055309669 Averaged sum = 0.4349661482720860894 logp*logq = 37.26364996489032789 -------------- ************************************* p = 409; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16811564986575013.94 -------------- Searches starting with [409,499]-exponents: u = 1, v = 30 n_start has 84 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(409,499) = 0.6809617440293242853 D2(409,499) = 0.01982499194813044679 C1(409,499) = 0.9339847508014829654 C2(409,499) = 1.638601263975744569 C3(409,499) = 5.342045022819048671 C4(409,499) = 3992 Sum = 4055.111387124641403 Averaged sum = 0.4051465068562934761 logp*logq = 37.36084343654480539 -------------- ************************************* p = 409; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17638446689470110.16 -------------- Searches starting with [409,503]-exponents: u = 1, v = 29 n_start has 81 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(409,503) = 0.8156709410873501706 D2(409,503) = 0.02358654187167068484 C1(409,503) = 1.245926098055185054 C2(409,503) = 1.655535977737110886 C3(409,503) = 9.348768709751720989 C4(409,503) = 4024 Sum = 2291.578566693155721 Averaged sum = 0.2289518000492712280 logp*logq = 37.40885738545967182 -------------- ************************************* p = 409; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18942170908075962.11 -------------- Searches starting with [409,509]-exponents: u = 1, v = 27 n_start has 76 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(409,509) = 1.002136139737298328 D2(409,509) = 0.06361851392221288792 C1(409,509) = 1.446818862465679088 C2(409,509) = 1.709978977850457236 C3(409,509) = 13.40536295371952456 C4(409,509) = 4072 Sum = 4834.893621968194599 Averaged sum = 0.4830546130450788888 logp*logq = 37.48016709637877711 -------------- ************************************* p = 409; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21791553565594079.88 -------------- Searches starting with [409,521]-exponents: u = 1, v = 24 n_start has 68 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(409,521) = 0.6480358658009649802 D2(409,521) = 0.001709139249938395892 C1(409,521) = 1.004871218513827914 C2(409,521) = 1.694290711940025078 C3(409,521) = 6.066500373507603101 C4(409,521) = 4168 Sum = 4059.886583301820851 Averaged sum = 0.4056235970927985663 logp*logq = 37.62029883850761247 -------------- ************************************* p = 409; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22299483706454565.37 -------------- Searches starting with [409,523]-exponents: u = 1, v = 24 n_start has 68 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(409,523) = 0.6813042262634781846 D2(409,523) = 0.03767986068691793472 C1(409,523) = 0.9921747992200759313 C2(409,523) = 1.730828947241501585 C3(409,523) = 5.929879992634358048 C4(409,523) = 4184 Sum = 3960.962958116013413 Averaged sum = 0.3957401296948759529 logp*logq = 37.64333992093181723 -------------- ************************************* p = 409; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27331899656262568.17 -------------- Searches starting with [409,541]-exponents: u = 1, v = 21 n_start has 61 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(409,541) = 1.568515149039905511 D2(409,541) = 0.1346847605431455946 C1(409,541) = 2.307741074605921396 C2(409,541) = 1.866318838294804514 C3(409,541) = 62.81450853787749695 C4(409,541) = 4328 Sum = 6067.626719795621540 Averaged sum = 0.6062170766106126026 logp*logq = 37.84683090053104546 -------------- ************************************* p = 409; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29206255585511110.90 -------------- Searches starting with [409,547]-exponents: u = 1, v = 20 n_start has 58 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(409,547) = 0.6951362948504989132 D2(409,547) = 0.09589921349678580659 C1(409,547) = 0.9938906022684907990 C2(409,547) = 1.847764131900019237 C3(409,547) = 5.948161614382037602 C4(409,547) = 4376 Sum = 4050.826946250035162 Averaged sum = 0.4047184480217839107 logp*logq = 37.91315931362095930 -------------- ************************************* p = 409; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32567993561591619.54 -------------- Searches starting with [409,557]-exponents: u = 1, v = 19 n_start has 55 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(409,557) = 0.7306283984551919288 D2(409,557) = 0.1167920303773528068 C1(409,557) = 1.083598136406891279 C2(409,557) = 1.891427684165777551 C3(409,557) = 6.986790871179006015 C4(409,557) = 4456 Sum = 3787.762169336907638 Averaged sum = 0.3784356248713065879 logp*logq = 38.02210640842010109 -------------- ************************************* p = 409; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34735537290180552.68 -------------- Searches starting with [409,563]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(409,563) = 0.5883361882498840530 D2(409,563) = 0.05090978932672957051 C1(409,563) = 0.9406708293459626244 C2(409,563) = 1.848871840101337399 C3(409,563) = 5.406509298482899571 C4(409,563) = 4504 Sum = 4201.620387438504770 Averaged sum = 0.4197842329342096882 logp*logq = 38.08653968720077556 -------------- ************************************* p = 409; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37022044033279438.84 -------------- Searches starting with [409,569]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(409,569) = 0.5878027375862669895 D2(409,569) = 0.1481136866350692417 C1(409,569) = 0.8188439721631918249 C2(409,569) = 1.477420364245531512 C3(409,569) = 4.345066515205253225 C4(409,569) = 4552 Sum = 4218.516063980551375 Averaged sum = 0.4214722813448447772 logp*logq = 38.15028991482890504 -------------- ************************************* p = 409; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37811538089049727.10 -------------- Searches starting with [409,571]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 73 left neighbors We generated 9937 right neighbors We generated 10009 non-negative rho_i D1(409,571) = 1.029491767025663518 D2(409,571) = 0.007958172016288433170 C1(409,571) = 1.656773857097714503 C2(409,571) = 1.831697911434779480 C3(409,571) = 19.53725346193594179 C4(409,571) = 4568 Sum = 1596.380479718716084 Averaged sum = 0.1594945029192442885 logp*logq = 38.17139069141088953 -------------- ************************************* p = 409; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40264734158103737.56 -------------- Searches starting with [409,577]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(409,577) = 0.7520738887558386506 D2(409,577) = 0.08942437707247543266 C1(409,577) = 1.125733085015805752 C2(409,577) = 1.914776339354438381 C3(409,577) = 7.535410018532803421 C4(409,577) = 4616 Sum = 3684.235688553927455 Averaged sum = 0.3680922857981743885 logp*logq = 38.23425239782927628 -------------- ************************************* p = 409; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44647887074297634.07 -------------- Searches starting with [409,587]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(409,587) = 0.6424912009636267387 D2(409,587) = 0.04584224353141556893 C1(409,587) = 0.9328115821418758042 C2(409,587) = 1.899713739584168856 C3(409,587) = 5.330813366031249709 C4(409,587) = 4696 Sum = 4094.995660766201190 Averaged sum = 0.4091313478635429304 logp*logq = 38.33758337914925512 -------------- ************************************* p = 409; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47463639638789181.22 -------------- Searches starting with [409,593]-exponents: u = 1, v = 16 n_start has 47 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(409,593) = 0.6147331289847995145 D2(409,593) = 0.1246449825095594635 C1(409,593) = 0.8623243968917828104 C2(409,593) = 1.445503283117023832 C3(409,593) = 4.697576824425300984 C4(409,593) = 4744 Sum = 3872.196382181486413 Averaged sum = 0.3868714539096299743 logp*logq = 38.39874033153223023 -------------- ************************************* p = 409; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50425913744295267.79 -------------- Searches starting with [409,599]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(409,599) = 0.6735732534857769444 D2(409,599) = 0.009482120151164190363 C1(409,599) = 0.9609739596971583451 C2(409,599) = 1.895005966159281410 C3(409,599) = 5.607070196326066288 C4(409,599) = 4792 Sum = 3882.177454964697592 Averaged sum = 0.3878686636991405327 logp*logq = 38.45928159944538715 -------------- ************************************* p = 409; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51446937684358498.70 -------------- Searches starting with [409,601]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(409,601) = 1.240154748347733909 D2(409,601) = 0.03123898781117742453 C1(409,601) = 1.695110118520710928 C2(409,601) = 1.917285803620432329 C3(409,601) = 20.92825097843034508 C4(409,601) = 4808 Sum = 4241.642079293709546 Averaged sum = 0.4237828034063052799 logp*logq = 38.47932733519307667 -------------- ************************************* p = 409; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54614003477857581.16 -------------- Searches starting with [409,607]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(409,607) = 0.5921093848322770544 D2(409,607) = 0.1040504349599757099 C1(409,607) = 0.8465825476226540341 C2(409,607) = 1.991655737758086629 C3(409,607) = 4.566765820338649751 C4(409,607) = 4856 Sum = 3677.491552833740743 Averaged sum = 0.3674184786525867462 logp*logq = 38.53906671873115822 -------------- ************************************* p = 409; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57941976077477475.11 -------------- Searches starting with [409,613]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(409,613) = 0.6737090262544235430 D2(409,613) = 0.1320501513714588300 C1(409,613) = 0.9303519398548721115 C2(409,613) = 1.415357499159116988 C3(409,613) = 5.307341892503934013 C4(409,613) = 4904 Sum = 4072.165984017886355 Averaged sum = 0.4068504330120777655 logp*logq = 38.59821849225328077 -------------- ************************************* p = 409; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60253208841886733.11 -------------- Searches starting with [409,617]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(409,617) = 0.8084531517082359997 D2(409,617) = 0.01118082000840450416 C1(409,617) = 1.108848166579572907 C2(409,617) = 1.933004363387856357 C3(409,617) = 7.310568060523558098 C4(409,617) = 4936 Sum = 4112.250053630146339 Averaged sum = 0.4108552356509287979 logp*logq = 38.63733222464975262 -------------- ************************************* p = 409; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61437334743418825.26 -------------- Searches starting with [409,619]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(409,619) = 0.8776785980483348986 D2(409,619) = 0.03112481453400135888 C1(409,619) = 1.336217809244043429 C2(409,619) = 1.953460930758899533 C3(409,619) = 10.99270458212440819 C4(409,619) = 4952 Sum = 3778.633447457779206 Averaged sum = 0.3775235735296012795 logp*logq = 38.65679410298200252 -------------- ************************************* p = 409; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68957100978509249.63 -------------- Searches starting with [409,631]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(409,631) = 0.6317363429765568921 D2(409,631) = 0.1191327851468750329 C1(409,631) = 1.050252213396574414 C2(409,631) = 1.419824844735291477 C3(409,631) = 6.581069943890656803 C4(409,631) = 5048 Sum = 4217.012521761399958 Averaged sum = 0.4213220623200519490 logp*logq = 38.77226098120770219 -------------- ************************************* p = 409; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75795718290808091.39 -------------- Searches starting with [409,641]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(409,641) = 0.5470408026714168345 D2(409,641) = 0.03398492592068119789 C1(409,641) = 0.7765220252511959160 C2(409,641) = 1.997317848797405863 C3(409,641) = 4.027370518869082605 C4(409,641) = 5128 Sum = 4192.239658006967528 Averaged sum = 0.4188470034975489588 logp*logq = 38.86681819903491145 -------------- ************************************* p = 409; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77229084970642804.35 -------------- Searches starting with [409,643]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(409,643) = 0.6093233554756294001 D2(409,643) = 0.05295143844993722928 C1(409,643) = 0.8467000435660465212 C2(409,643) = 2.016782844381172510 C3(409,643) = 4.567728562893398664 C4(409,643) = 5144 Sum = 4082.668434659120245 Averaged sum = 0.4078997337055770052 logp*logq = 38.88555252931397454 -------------- ************************************* p = 409; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80163685372602772.71 -------------- Searches starting with [409,647]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(409,647) = 0.7989262668727236318 D2(409,647) = 0.08176847559444073644 C1(409,647) = 1.094808682159256911 C2(409,647) = 1.373252049143938874 C3(409,647) = 7.128733193958862694 C4(409,647) = 5176 Sum = 4357.000944173902740 Averaged sum = 0.4353083169321513378 logp*logq = 38.92284700639753290 -------------- ************************************* p = 409; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84739532006081629.20 -------------- Searches starting with [409,653]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(409,653) = 0.6992606548934841646 D2(409,653) = 0.1031622051914275651 C1(409,653) = 0.9734863913751189119 C2(409,653) = 1.812926627756466750 C3(409,653) = 5.734360140752132943 C4(409,653) = 5224 Sum = 4359.203396506333407 Averaged sum = 0.4355283641229227103 logp*logq = 38.97835861739006760 -------------- ************************************* p = 409; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 89531104230855426.85 -------------- Searches starting with [409,659]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(409,659) = 0.6756770739569400468 D2(409,659) = 0.09829737916705658803 C1(409,659) = 0.9629630791396991322 C2(409,659) = 1.809658502499359625 C3(409,659) = 5.627115136778114581 C4(409,659) = 5272 Sum = 4254.306588800055757 Averaged sum = 0.4250481155759871872 logp*logq = 39.03336249312143088 -------------- ************************************* p = 409; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91177621749453537.86 -------------- Searches starting with [409,661]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(409,661) = 0.7109902290531153902 D2(409,661) = 0.09670192660268573580 C1(409,661) = 1.098026960813941756 C2(409,661) = 1.808591994077606616 C3(409,661) = 7.170011620885429385 C4(409,661) = 5288 Sum = 3520.383440764229230 Averaged sum = 0.3517217944614076561 logp*logq = 39.05158588632722661 -------------- ************************************* p = 409; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101596103828536262.1 -------------- Searches starting with [409,673]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(409,673) = 0.7499357123136976613 D2(409,673) = 0.06260913360619874240 C1(409,673) = 1.274572750160643179 C2(409,673) = 1.291317397080820414 C3(409,673) = 9.841793527336777507 C4(409,673) = 5384 Sum = 3950.962845436516312 Averaged sum = 0.3947410176277866232 logp*logq = 39.15978158117542976 -------------- ************************************* p = 409; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105281963861916474.4 -------------- Searches starting with [409,677]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(409,677) = 0.8529969091265481402 D2(409,677) = 0.07237304610454479346 C1(409,677) = 1.143496928064903766 C2(409,677) = 1.291635864090121293 C3(409,677) = 7.779424308370082132 C4(409,677) = 5416 Sum = 4172.885992098892217 Averaged sum = 0.4169133771704358295 logp*logq = 39.19541851601732810 -------------- ************************************* p = 409; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111019366373320672.3 -------------- Searches starting with [409,683]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(409,683) = 0.9026944977236904476 D2(409,683) = 0.08136867660872109789 C1(409,683) = 1.230414159108756440 C2(409,683) = 1.829437308762796559 C3(409,683) = 9.092187830863789330 C4(409,683) = 5464 Sum = 4030.543319177253674 Averaged sum = 0.4026919091994458661 logp*logq = 39.24848105283629723 -------------- ************************************* p = 409; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119072691029659615.3 -------------- Searches starting with [409,691]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(409,691) = 0.7631376990230350611 D2(409,691) = 0.06955237228274194249 C1(409,691) = 1.024860944281389473 C2(409,691) = 1.681602382270184847 C3(409,691) = 6.288007928790588160 C4(409,691) = 5528 Sum = 3816.602103427996136 Averaged sum = 0.3813170250202813604 logp*logq = 39.31851055051864928 -------------- ************************************* p = 409; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129818795254427197.7 -------------- Searches starting with [409,701]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(409,701) = 0.6700042858461866537 D2(409,701) = 0.03337429854194971099 C1(409,701) = 0.9501645642165182883 C2(409,701) = 2.097232709655802480 C3(409,701) = 5.499382532967441725 C4(409,701) = 5608 Sum = 3708.654508637920112 Averaged sum = 0.3705319720889119904 logp*logq = 39.40491599034990910 -------------- ************************************* p = 409; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138987092217042146.8 -------------- Searches starting with [409,709]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(409,709) = 0.7608660539176712268 D2(409,709) = 0.05764339887087100507 C1(409,709) = 1.310193009526706104 C2(409,709) = 1.297775889130992197 C3(409,709) = 10.49125686209360674 C4(409,709) = 5672 Sum = 4157.508004180441501 Averaged sum = 0.4153769611530064443 logp*logq = 39.47315746198155974 -------------- ************************************* p = 409; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 151200708013684067.9 -------------- Searches starting with [409,719]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(409,719) = 0.8331363674262151904 D2(409,719) = 0.05736613898831785178 C1(409,719) = 1.253540279749285442 C2(409,719) = 1.849351846161105319 C3(409,719) = 9.477350679948157318 C4(409,719) = 5752 Sum = 4051.474741389612612 Averaged sum = 0.4047831692866033182 logp*logq = 39.55738454127534004 -------------- ************************************* p = 409; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161604279062625155.5 -------------- Searches starting with [409,727]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(409,727) = 0.9741984418227757868 D2(409,727) = 0.04788651350085737717 C1(409,727) = 1.335582331814523482 C2(409,727) = 1.697301194052766906 C3(409,727) = 10.98017923048905949 C4(409,727) = 5816 Sum = 4254.580407014905909 Averaged sum = 0.4250754727759921979 logp*logq = 39.62392701999503646 -------------- ************************************* p = 409; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169792770964810785.0 -------------- Searches starting with [409,733]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(409,733) = 0.9688831941082028138 D2(409,733) = 0.04195957060623386698 C1(409,733) = 1.317193247527795277 C2(409,733) = 1.604664261512653986 C3(409,733) = 10.62384450596092023 C4(409,733) = 5864 Sum = 4082.692682927006077 Averaged sum = 0.4079021563519838222 logp*logq = 39.67335509405838323 -------------- ************************************* p = 409; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 178324303519087817.7 -------------- Searches starting with [409,739]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(409,739) = 0.9096735977748144470 D2(409,739) = 0.001803479228072377046 C1(409,739) = 1.297809769276951536 C2(409,739) = 2.127760407843021862 C3(409,739) = 10.26075238035688828 C4(409,739) = 5912 Sum = 3863.647766734496466 Averaged sum = 0.3860173610485059911 logp*logq = 39.72238021738420918 -------------- ************************************* p = 409; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184208192915502187.8 -------------- Searches starting with [409,743]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(409,743) = 0.7405062689721093689 D2(409,743) = 0.02628603929634584641 C1(409,743) = 1.294687197665296472 C2(409,743) = 2.153139074256770960 C3(409,743) = 10.20343207469336450 C4(409,743) = 5944 Sum = 4150.642458656762932 Averaged sum = 0.4146910239441265792 logp*logq = 39.75484299611139136 -------------- ************************************* p = 409; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 196462412379377124.9 -------------- Searches starting with [409,751]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(409,751) = 0.6512145698338876656 D2(409,751) = 0.03783657021515329179 C1(409,751) = 1.138436331100892240 C2(409,751) = 1.877982373447120452 C3(409,751) = 7.709115130765103336 C4(409,751) = 6008 Sum = 4218.148783954398694 Averaged sum = 0.4214355863677089314 logp*logq = 39.81924752232144297 -------------- ************************************* p = 409; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 206092660766007015.3 -------------- Searches starting with [409,757]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(409,757) = 0.6984831206985577964 D2(409,757) = 0.03415431893911101780 C1(409,757) = 0.9520645113664617620 C2(409,757) = 1.875763927690443885 C3(409,757) = 5.518159636727192046 C4(409,757) = 6056 Sum = 3888.316580501761838 Averaged sum = 0.3884820242283706502 logp*logq = 39.86710227211000312 -------------- ************************************* p = 409; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 212728942322953279.9 -------------- Searches starting with [409,761]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(409,761) = 0.6367361640519363386 D2(409,761) = 0.03173504730469507281 C1(409,761) = 0.9663605328642474346 C2(409,761) = 1.874313971012626684 C3(409,761) = 5.661518139906237904 C4(409,761) = 6088 Sum = 3710.650442538780503 Averaged sum = 0.3707313860064722253 logp*logq = 39.89879517895996576 -------------- ************************************* p = 409; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 226536908184147943.5 -------------- Searches starting with [409,769]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(409,769) = 0.7128047490258284163 D2(409,769) = 0.02697897946313744127 C1(409,769) = 1.132872686867248737 C2(409,769) = 1.871481049295318417 C3(409,769) = 7.632549999879456229 C4(409,769) = 6152 Sum = 3775.557862630432345 Averaged sum = 0.3772162916006026920 logp*logq = 39.96168427659924649 -------------- ************************************* p = 409; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 233716188947681829.0 -------------- Searches starting with [409,773]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(409,773) = 0.6562398223261705329 D2(409,773) = 0.02260673604557916530 C1(409,773) = 0.9153754145002384547 C2(409,773) = 1.715711641066236022 C3(409,773) = 5.166640126412613481 C4(409,773) = 6184 Sum = 3957.577632111394937 Averaged sum = 0.3954019014997896830 logp*logq = 39.99288390640408339 -------------- ************************************* p = 409; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 260355729570105444.4 -------------- Searches starting with [409,787]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(409,787) = 0.7418933954243414825 D2(409,787) = 0.01342916596254164351 C1(409,787) = 1.003192045096222864 C2(409,787) = 1.503818381800232281 C3(409,787) = 6.048252487231382847 C4(409,787) = 6296 Sum = 3725.539128756901876 Averaged sum = 0.3722189158514239060 logp*logq = 40.10082528146048261 -------------- ************************************* p = 409; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 280894918042299680.4 -------------- Searches starting with [409,797]-exponents: u = 1, v = 9 n_start has 29 digits **************************************************** Computing .... elapsed time = 41 minutes **************************************************** starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(409,797) = 1.136590008640193253 D2(409,797) = 0.006306707229361252199 C1(409,797) = 2.022216496447539856 C2(409,797) = 1.054472442910345801 C3(409,797) = 37.63531294240462706 C4(409,797) = 6376 Sum = 2187.606636949502489 Averaged sum = 0.2185639561344292625 logp*logq = 40.17675703716018017 -------------- ************************************* p = 409; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307308163619748065.5 -------------- Searches starting with [409,809]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(409,809) = 0.6919259630410559571 D2(409,809) = 0.004821302910760439906 C1(409,809) = 0.9570498300438398935 C2(409,809) = 1.906256562065863481 C3(409,809) = 5.567734731226951924 C4(409,809) = 6472 Sum = 4106.266489949506176 Averaged sum = 0.4102574173193631907 logp*logq = 40.26662742932963030 -------------- ************************************* p = 409; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 311905332832798283.6 -------------- Searches starting with [409,811]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(409,811) = 0.7186494499011992094 D2(409,811) = 0.003740454539450269917 C1(409,811) = 0.9807008344980234614 C2(409,811) = 1.905640209523900316 C3(409,811) = 5.809062467916496196 C4(409,811) = 6488 Sum = 4134.982081072149224 Averaged sum = 0.4131263943522978544 logp*logq = 40.28147611627118443 -------------- ************************************* p = 409; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 335760508459721483.6 -------------- Searches starting with [409,821]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(409,821) = 0.5690087641145616428 D2(409,821) = 0.1170294588309712626 C1(409,821) = 0.8040195769554243967 C2(409,821) = 1.845821567110848134 C3(409,821) = 4.231030027553953164 C4(409,821) = 6568 Sum = 3946.804044532850575 Averaged sum = 0.3943255114929414102 logp*logq = 40.35517452828953656 -------------- ************************************* p = 409; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 340709446476458540.9 -------------- Searches starting with [409,823]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(409,823) = 1.185442930876584079 D2(409,823) = 0.1279886158780422317 C1(409,823) = 1.734817029146351973 C2(409,823) = 1.857177286002286655 C3(409,823) = 22.47347807276873993 C4(409,823) = 6584 Sum = 5291.879930221330181 Averaged sum = 0.5287121520852562874 logp*logq = 40.36980644586319844 -------------- ************************************* p = 409; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 350789916185208763.9 -------------- Searches starting with [409,827]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(409,827) = 0.5951495104501906423 D2(409,827) = 0.1461160460705947470 C1(409,827) = 0.9578357514816674495 C2(409,827) = 1.479633312605404654 C3(409,827) = 5.575590644127622377 C4(409,827) = 6616 Sum = 4119.954279282874634 Averaged sum = 0.4116249654593740267 logp*logq = 40.39896390979946401 -------------- ************************************* p = 409; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 355922640036767171.0 -------------- Searches starting with [409,829]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(409,829) = 0.8600590944678836095 D2(409,829) = 0.1141884308801505429 C1(409,829) = 1.384118188681860748 C2(409,829) = 1.246584004340008597 C3(409,829) = 11.97914426670664544 C4(409,829) = 6632 Sum = 2954.727195904408689 Averaged sum = 0.2952070332605064131 logp*logq = 40.41348979888143177 -------------- ************************************* p = 409; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 382535387085975423.7 -------------- Searches starting with [409,839]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(409,839) = 0.5742007045908699381 D2(409,839) = 0.1104929578230559946 C1(409,839) = 0.8127979089795047090 C2(409,839) = 1.856818515432890064 C3(409,839) = 4.298190720195190930 C4(409,839) = 6712 Sum = 3928.768124684052480 Averaged sum = 0.3925235412812521211 logp*logq = 40.48559755915545538 -------------- ************************************* p = 409; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 422564112280866881.6 -------------- Searches starting with [409,853]-exponents: u = 46, v = 8 n_start has 144 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(409,853) = 0.8995920828826966438 D2(409,853) = 0.03807358554033618288 C1(409,853) = 1.249291862410853889 C2(409,853) = 1.787420464261142095 C3(409,853) = 9.405390391958293446 C4(409,853) = 6824 Sum = 4443.499998745752831 Averaged sum = 0.4439504444745481898 logp*logq = 40.58511757523927119 -------------- ************************************* p = 409; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 434621514854719414.3 -------------- Searches starting with [409,857]-exponents: u = 64, v = 8 n_start has 191 digits starting right neighbors generation We generated 2297 left neighbors We generated 7713 right neighbors We generated 10009 non-negative rho_i D1(409,857) = 0.5868932754307798962 D2(409,857) = 0.02006787721811487894 C1(409,857) = 0.8323045492870655264 C2(409,857) = 1.770268759045096971 C3(409,857) = 4.451272086416896857 C4(409,857) = 6856 Sum = 4234.122906230897403 Averaged sum = 0.4230315622170943554 logp*logq = 40.61325196646562152 -------------- ************************************* p = 409; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 440756937755342023.6 -------------- Searches starting with [409,859]-exponents: u = 82, v = 8 n_start has 238 digits starting right neighbors generation We generated 3627 left neighbors We generated 6383 right neighbors We generated 10009 non-negative rho_i D1(409,859) = 0.5495639163910974165 D2(409,859) = 0.01141016679394068809 C1(409,859) = 0.7681372154586473389 C2(409,859) = 1.762036535717219717 C3(409,859) = 3.967241350881397303 C4(409,859) = 6872 Sum = 4239.853286484567992 Averaged sum = 0.4236040849719820154 logp*logq = 40.62726995685965683 -------------- ************************************* p = 409; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 453244581137285141.5 -------------- Searches starting with [409,863]-exponents: u = 163, v = 8 n_start has 450 digits --- performed 5000 steps in the continued fraction search [409,863]-exponents: u = 114, v = 17 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(409,863) = 0.5363605552885858623 D2(409,863) = 0.1008549560537997934 C1(409,863) = 0.7252692593982434265 C2(409,863) = 1.508204678791207089 C3(409,863) = 3.673570343646176194 C4(409,863) = 6904 Sum = 4630.531917080961989 Averaged sum = 0.4630995016582620251 logp*logq = 40.65520828890282625 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(409,863) = 0.5363605552885858623 D2(409,863) = 0.1008549560537997934 C1(409,863) = 0.7252692593982434265 C2(409,863) = 1.508204678791207089 C3(409,863) = 3.673570343646176194 C4(409,863) = 6904 Sum = 4630.531917080961989 Averaged sum = 0.4630995016582620251 logp*logq = 40.65520828890282625 -------------- ************************************* p = 409; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 499299646815961459.6 -------------- Searches starting with [409,877]-exponents: u = 9, v = 63 n_start has 209 digits starting right neighbors generation We generated 1480 left neighbors We generated 8530 right neighbors We generated 10009 non-negative rho_i D1(409,877) = 0.5800747537474614325 D2(409,877) = 0.006232526226294654488 C1(409,877) = 0.7874945658002992710 C2(409,877) = 1.446722379927291373 C3(409,877) = 4.107435602536447567 C4(409,877) = 7016 Sum = 4200.654809087817668 Averaged sum = 0.4196877619230510208 logp*logq = 40.75198280505861987 -------------- ************************************* p = 409; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 513152270226607194.0 -------------- Searches starting with [409,881]-exponents: u = 9, v = 47 n_start has 162 digits starting right neighbors generation We generated 1021 left neighbors We generated 8989 right neighbors We generated 10009 non-negative rho_i D1(409,881) = 0.7033896790546811201 D2(409,881) = 0.01773737210655079506 C1(409,881) = 1.021232373772488700 C2(409,881) = 1.523390597104384915 C3(409,881) = 6.247207135520820765 C4(409,881) = 7048 Sum = 3389.499654229090478 Averaged sum = 0.3386451847566280825 logp*logq = 40.77934901909202250 -------------- ************************************* p = 409; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 520197825211624569.3 -------------- Searches starting with [409,883]-exponents: u = 9, v = 39 n_start has 139 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(409,883) = 0.5929222562769638695 D2(409,883) = 0.02414878051159483588 C1(409,883) = 0.8078715549572235054 C2(409,883) = 1.573102885980736538 C3(409,883) = 4.260370301929601252 C4(409,883) = 7064 Sum = 4035.300834206216698 Averaged sum = 0.4031672329110017682 logp*logq = 40.79298556723911285 -------------- ************************************* p = 409; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 534531066902519047.1 -------------- Searches starting with [409,887]-exponents: u = 9, v = 31 n_start has 115 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(409,887) = 0.7238387141278165975 D2(409,887) = 0.03752818329155854631 C1(409,887) = 0.9980243483786739629 C2(409,887) = 1.641888685227670080 C3(409,887) = 5.992437853493430274 C4(409,887) = 7096 Sum = 4076.101837233035100 Averaged sum = 0.4072436644253207213 logp*logq = 40.82016624698420168 -------------- ************************************* p = 409; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 611234371373547088.0 -------------- Searches starting with [409,907]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(409,907) = 0.6167392073305675855 D2(409,907) = 0.1201199249854828540 C1(409,907) = 0.8319340284026794320 C2(409,907) = 1.910209871443575085 C3(409,907) = 4.448314174224590058 C4(409,907) = 7256 Sum = 3763.559000114186405 Averaged sum = 0.3760174842755706270 logp*logq = 40.95425686706785692 -------------- ************************************* p = 409; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 627625410147097610.2 -------------- Searches starting with [409,911]-exponents: u = 9, v = 15 n_start has 68 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(409,911) = 0.9058015723114346376 D2(409,911) = 0.09250755067866592516 C1(409,911) = 1.479401497754325752 C2(409,911) = 1.217565086098987206 C3(409,911) = 14.21232416229146918 C4(409,911) = 7288 Sum = 2775.120291202260764 Averaged sum = 0.2772624928766371030 logp*logq = 40.98071990275603656 -------------- ************************************* p = 409; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 661508460348848033.5 -------------- Searches starting with [409,919]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(409,919) = 1.087551966259013484 D2(409,919) = 0.1077005967091130302 C1(409,919) = 1.566055159545059859 C2(409,919) = 1.916778178322426756 C3(409,919) = 16.60277513252047271 C4(409,919) = 7352 Sum = 5299.800049462040602 Averaged sum = 0.5295034518395484665 logp*logq = 41.03329916802691419 -------------- ************************************* p = 409; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 705994117805764417.3 -------------- Searches starting with [409,929]-exponents: u = 25, v = 7 n_start has 87 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(409,929) = 0.9749439156617258803 D2(409,929) = 0.06331336826787275266 C1(409,929) = 1.518329597319773995 C2(409,929) = 1.874415964254393067 C3(409,929) = 15.24037506593487278 C4(409,929) = 7432 Sum = 3005.696506670503831 Averaged sum = 0.3002993812239488291 logp*logq = 41.09838330064933794 -------------- ************************************* p = 409; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 743353546106007087.5 -------------- Searches starting with [409,937]-exponents: u = 25, v = 7 n_start has 87 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(409,937) = 0.7951539924771911925 D2(409,937) = 0.03176335167891162077 C1(409,937) = 1.203152718039919161 C2(409,937) = 1.844470108249205186 C3(409,937) = 8.658204554486426947 C4(409,937) = 7496 Sum = 3972.715841284928907 Averaged sum = 0.3969143612034098218 logp*logq = 41.14994816239790391 -------------- ************************************* p = 409; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 762642469426120940.8 -------------- Searches starting with [409,941]-exponents: u = 33, v = 7 n_start has 108 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(409,941) = 0.5404004590828483007 D2(409,941) = 0.01703178181731255081 C1(409,941) = 0.7656529793142344850 C2(409,941) = 1.830535418288471785 C3(409,941) = 3.949599390169562266 C4(409,941) = 7528 Sum = 4137.067010025909150 Averaged sum = 0.4133346997727953991 logp*logq = 41.17556573108788218 -------------- ************************************* p = 409; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 792357144880364991.0 -------------- Searches starting with [409,947]-exponents: u = 49, v = 7 n_start has 149 digits starting right neighbors generation We generated 1226 left neighbors We generated 8784 right neighbors We generated 10009 non-negative rho_i D1(409,947) = 0.6878851802171188197 D2(409,947) = 0.05209640294125898813 C1(409,947) = 1.004984970343742267 C2(409,947) = 1.762438628835166731 C3(409,947) = 6.067738524802050158 C4(409,947) = 7576 Sum = 3300.086255715388440 Averaged sum = 0.3297118848751512079 logp*logq = 41.21378862558750823 -------------- ************************************* p = 409; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 823030875534924939.6 -------------- Searches starting with [409,953]-exponents: u = 73, v = 7 n_start has 212 digits starting right neighbors generation We generated 2699 left neighbors We generated 7311 right neighbors We generated 10009 non-negative rho_i D1(409,953) = 0.6986831826970890282 D2(409,953) = 0.01248825869233392105 C1(409,953) = 0.9908354555887025243 C2(409,953) = 1.723972811037753890 C3(409,953) = 5.915648546412015904 C4(409,953) = 7624 Sum = 3784.744507884778036 Averaged sum = 0.3781341300714135314 logp*logq = 41.25177011072235852 -------------- ************************************* p = 409; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 898471766536489741.9 -------------- Searches starting with [409,967]-exponents: u = 8, v = 622 n_start has 1878 digits --- performed 5000 steps in the continued fraction search [409,967]-exponents: u = 192, v = 454 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(409,967) = 1.357487935094475505 D2(409,967) = 0.4708793340442108207 C1(409,967) = 1.728359388551910127 C2(409,967) = 1.542184395791703533 C3(409,967) = 22.21461884117793818 C4(409,967) = 7736 Sum = 5568.461834215094925 Averaged sum = 0.5569018736088703795 logp*logq = 41.33947167775410087 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(409,967) = 1.357487935094475505 D2(409,967) = 0.4708793340442108207 C1(409,967) = 1.728359388551910127 C2(409,967) = 1.542184395791703533 C3(409,967) = 22.21461884117793818 C4(409,967) = 7736 Sum = 5568.461834215094925 Averaged sum = 0.5569018736088703795 logp*logq = 41.33947167775410087 -------------- ************************************* p = 409; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 921054984795945267.2 -------------- Searches starting with [409,971]-exponents: u = 8, v = 153 n_start has 478 digits --- performed 5000 steps in the continued fraction search [409,971]-exponents: u = 77, v = 61 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(409,971) = 0.5912599570297793619 D2(409,971) = 0.1085912763581793882 C1(409,971) = 0.7966409329161318685 C2(409,971) = 1.490213306097598477 C3(409,971) = 4.175390413413020847 C4(409,971) = 7768 Sum = 4656.496241822506937 Averaged sum = 0.4656961938016308568 logp*logq = 41.36429613057389842 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(409,971) = 0.5912599570297793619 D2(409,971) = 0.1085912763581793882 C1(409,971) = 0.7966409329161318685 C2(409,971) = 1.490213306097598477 C3(409,971) = 4.175390413413020847 C4(409,971) = 7768 Sum = 4656.496241822506937 Averaged sum = 0.4656961938016308568 logp*logq = 41.36429613057389842 -------------- ************************************* p = 409; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 955815904557639381.7 -------------- Searches starting with [409,977]-exponents: u = 8, v = 69 n_start has 228 digits starting right neighbors generation We generated 2997 left neighbors We generated 7013 right neighbors We generated 10009 non-negative rho_i D1(409,977) = 0.5702907623871411505 D2(409,977) = 0.02588479742914329615 C1(409,977) = 0.7993877261717577810 C2(409,977) = 1.686307549940021423 C3(409,977) = 4.196016952021186455 C4(409,977) = 7816 Sum = 4264.837953808891808 Averaged sum = 0.4261003051062935166 logp*logq = 41.40134172096404897 -------------- ************************************* p = 409; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 991663767011258636.5 -------------- Searches starting with [409,983]-exponents: u = 8, v = 48 n_start has 165 digits starting right neighbors generation We generated 1582 left neighbors We generated 8428 right neighbors We generated 10009 non-negative rho_i D1(409,983) = 0.9095774377807815174 D2(409,983) = 0.02624410780416153281 C1(409,983) = 1.316787664348046833 C2(409,983) = 1.766854673767017505 C3(409,983) = 10.61611705197644319 C4(409,983) = 7864 Sum = 3624.262262341281130 Averaged sum = 0.3621003359317895025 logp*logq = 41.43816050019577054 -------------- ************************************* p = 409; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.041198525955370747 E18 -------------- Searches starting with [409,991]-exponents: u = 8, v = 27 n_start has 102 digits starting right neighbors generation We generated 490 left neighbors We generated 9520 right neighbors We generated 10009 non-negative rho_i D1(409,991) = 0.7024143716961317992 D2(409,991) = 0.07308139553956419036 C1(409,991) = 1.046386034155429647 C2(409,991) = 1.814964066028577019 C3(409,991) = 6.535580985854338511 C4(409,991) = 7928 Sum = 3964.170141149750145 Averaged sum = 0.3960605596113248221 logp*logq = 41.48690415231300811 -------------- ************************************* p = 409; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.079688615005665993 E18 -------------- Searches starting with [409,997]-exponents: u = 8, v = 20 n_start has 81 digits starting right neighbors generation We generated 315 left neighbors We generated 9695 right neighbors We generated 10009 non-negative rho_i D1(409,997) = 1.104526071965766416 D2(409,997) = 0.01008342175871260503 C1(409,997) = 1.681571599635560716 C2(409,997) = 1.753349853470421150 C3(409,997) = 20.42605489030811207 C4(409,997) = 7976 Sum = 4785.297243794663051 Averaged sum = 0.4780994348880670447 logp*logq = 41.52320435401771210 -------------- ************************************* p = 419; q = 421; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6999653664608900.668 -------------- Searches starting with [419,421]-exponents: u = 1, v = 1267 n_start has 3328 digits --- performed 5000 steps in the continued fraction search [419,421]-exponents: u = 1202, v = 63 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(419,421) = 0.6033168668927385452 D2(419,421) = 0.3794482193849218467 C1(419,421) = 0.7551384318237421118 C2(419,421) = 1.288110101886982860 C3(419,421) = 3.887544617597531630 C4(419,421) = 3368 Sum = 5976.282778430594161 Averaged sum = 0.5976880466477241885 logp*logq = 36.48463706625755418 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(419,421) = 0.6033168668927385452 D2(419,421) = 0.3794482193849218467 C1(419,421) = 0.7551384318237421118 C2(419,421) = 1.288110101886982860 C3(419,421) = 3.887544617597531630 C4(419,421) = 3368 Sum = 5976.282778430594161 Averaged sum = 0.5976880466477241885 logp*logq = 36.48463706625755418 -------------- ************************************* p = 419; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8065544630531008.557 -------------- Searches starting with [419,431]-exponents: u = 1, v = 213 n_start has 564 digits --- performed 5000 steps in the continued fraction search [419,431]-exponents: u = 164, v = 26 --- starting right neighbors generation We generated 5074 left neighbors We generated 4936 right neighbors We generated 10009 non-negative rho_i D1(419,431) = 0.7420394746356253543 D2(419,431) = 0.005829923404730778839 C1(419,431) = 0.9904690185075116942 C2(419,431) = 1.161269433144515517 C3(419,431) = 5.935280316193747746 C4(419,431) = 3448 Sum = 5025.813440324144883 Averaged sum = 0.5021294275476216288 logp*logq = 36.62637763434183761 -------------- ************************************* p = 419; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8294182749069472.643 -------------- Searches starting with [419,433]-exponents: u = 1, v = 183 n_start has 486 digits starting right neighbors generation We generated 3838 left neighbors We generated 6172 right neighbors We generated 10009 non-negative rho_i D1(419,433) = 0.6609637259399438270 D2(419,433) = 0.003666960455460992362 C1(419,433) = 0.8886200060283235938 C2(419,433) = 1.185326680887082757 C3(419,433) = 4.942071093798998434 C4(419,433) = 3464 Sum = 4934.925517644892998 Averaged sum = 0.4930488078374356077 logp*logq = 36.65433079038042172 -------------- ************************************* p = 419; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9012798958308695.504 -------------- Searches starting with [419,439]-exponents: u = 1, v = 129 n_start has 344 digits starting right neighbors generation We generated 1975 left neighbors We generated 8035 right neighbors We generated 10009 non-negative rho_i D1(419,439) = 0.5655613687996012818 D2(419,439) = 0.005407008885195335984 C1(419,439) = 0.7744791522692651415 C2(419,439) = 1.251681473507999304 C3(419,439) = 4.025114530048513131 C4(419,439) = 3512 Sum = 4465.080687529892460 Averaged sum = 0.4461065728374355540 logp*logq = 36.73742206848989194 -------------- ************************************* p = 419; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9520156789581107.422 -------------- Searches starting with [419,443]-exponents: u = 1, v = 108 n_start has 289 digits starting right neighbors generation We generated 1448 left neighbors We generated 8562 right neighbors We generated 10009 non-negative rho_i D1(419,443) = 0.5836771653485197806 D2(419,443) = 0.0007435131995642343316 C1(419,443) = 0.8073845548239993299 C2(419,443) = 1.283472192611170136 C3(419,443) = 4.270448991789569231 C4(419,443) = 3544 Sum = 4257.575270792473348 Averaged sum = 0.4253746898583747974 logp*logq = 36.79218771307215239 -------------- ************************************* p = 419; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10325736895113809.32 -------------- Searches starting with [419,449]-exponents: u = 1, v = 87 n_start has 234 digits starting right neighbors generation We generated 923 left neighbors We generated 9087 right neighbors We generated 10009 non-negative rho_i D1(419,449) = 0.6090369299088698113 D2(419,449) = 0.01634707889736058133 C1(419,449) = 0.8536219920287208961 C2(419,449) = 1.343993467821823775 C3(419,449) = 4.640658448470946530 C4(419,449) = 3592 Sum = 3975.663451755621237 Averaged sum = 0.3972088572040784530 logp*logq = 36.87341590119787500 -------------- ************************************* p = 419; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11487636208298786.20 -------------- Searches starting with [419,457]-exponents: u = 1, v = 69 n_start has 187 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(419,457) = 0.7007239310160350150 D2(419,457) = 0.01292575893461725366 C1(419,457) = 0.9553211118243228294 C2(419,457) = 1.394216807494666917 C3(419,457) = 5.571790816440452688 C4(419,457) = 3656 Sum = 4487.173084825706723 Averaged sum = 0.4483138260391354504 logp*logq = 36.98004773961022961 -------------- ************************************* p = 419; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12108277252723171.43 -------------- Searches starting with [419,461]-exponents: u = 1, v = 63 n_start has 171 digits starting right neighbors generation We generated 548 left neighbors We generated 9462 right neighbors We generated 10009 non-negative rho_i D1(419,461) = 0.6579298879787121616 D2(419,461) = 0.001646385389621075180 C1(419,461) = 0.9423827666533717544 C2(419,461) = 1.408171143775175070 C3(419,461) = 5.443665847581713680 C4(419,461) = 3688 Sum = 3514.126181609334330 Averaged sum = 0.3510966311928598591 logp*logq = 37.03266568411681346 -------------- ************************************* p = 419; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12428935961141768.56 -------------- Searches starting with [419,463]-exponents: u = 1, v = 60 n_start has 163 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(419,463) = 0.7533803786141485751 D2(419,463) = 0.01678057507216156407 C1(419,463) = 1.034877633180992590 C2(419,463) = 1.432694355885562676 C3(419,463) = 6.428641445162520916 C4(419,463) = 3704 Sum = 4293.435391346808918 Averaged sum = 0.4289574774050163770 logp*logq = 37.05880369428664253 -------------- ************************************* p = 419; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13091540971054674.09 -------------- Searches starting with [419,467]-exponents: u = 1, v = 55 n_start has 150 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(419,467) = 0.5670107283349461620 D2(419,467) = 0.02846133974762182523 C1(419,467) = 0.8191753427485515949 C2(419,467) = 1.464555254695247036 C3(419,467) = 4.361950917290660341 C4(419,467) = 3736 Sum = 4333.063128619686854 Averaged sum = 0.4329166878429100664 logp*logq = 37.11074268914565493 -------------- ************************************* p = 419; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15258781427883003.73 -------------- Searches starting with [419,479]-exponents: u = 1, v = 45 n_start has 124 digits starting right neighbors generation We generated 307 left neighbors We generated 9703 right neighbors We generated 10009 non-negative rho_i D1(419,479) = 0.7387812933476659611 D2(419,479) = 0.003085752690425965644 C1(419,479) = 1.085741493621998076 C2(419,479) = 1.500882267607852497 C3(419,479) = 7.044302050856317838 C4(419,479) = 3832 Sum = 2991.677615209285285 Averaged sum = 0.2988987526435493341 logp*logq = 37.26393156357344978 -------------- ************************************* p = 419; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16863703639528294.05 -------------- Searches starting with [419,487]-exponents: u = 1, v = 40 n_start has 111 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(419,487) = 0.6893092397835684218 D2(419,487) = 0.02664472017011265170 C1(419,487) = 1.023069649733265528 C2(419,487) = 1.555952942177754705 C3(419,487) = 6.293591354463177623 C4(419,487) = 3896 Sum = 3025.447338313684316 Averaged sum = 0.3022726884117978136 logp*logq = 37.36393999355783737 -------------- ************************************* p = 419; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17717509913296088.91 -------------- Searches starting with [419,491]-exponents: u = 1, v = 38 n_start has 105 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(419,491) = 0.8073527695927896541 D2(419,491) = 0.01791016558499630518 C1(419,491) = 1.203601639975333873 C2(419,491) = 1.564707502632855000 C3(419,491) = 8.707090360573875089 C4(419,491) = 3928 Sum = 2726.405150156151212 Averaged sum = 0.2723953591923420133 logp*logq = 37.41332980613283034 -------------- ************************************* p = 419; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19533623984533259.51 -------------- Searches starting with [419,499]-exponents: u = 1, v = 34 n_start has 95 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(419,499) = 0.6522396079212895073 D2(419,499) = 0.02846331646382175001 C1(419,499) = 0.9273652594433627866 C2(419,499) = 1.604728113726117326 C3(419,499) = 5.298641422387014243 C4(419,499) = 3992 Sum = 4310.785617225378815 Averaged sum = 0.4306909398766488974 logp*logq = 37.51091368246910249 -------------- ************************************* p = 419; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20498343907642580.31 -------------- Searches starting with [419,503]-exponents: u = 1, v = 33 n_start has 92 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(419,503) = 0.9029096781451284761 D2(419,503) = 0.05650181772904128248 C1(419,503) = 1.363298312063980723 C2(419,503) = 1.643790598660122387 C3(419,503) = 11.60319522971524612 C4(419,503) = 4024 Sum = 2514.008646838881841 Averaged sum = 0.2511748073572666441 logp*logq = 37.55912049279871959 -------------- ************************************* p = 419; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22019760266296984.31 -------------- Searches starting with [419,509]-exponents: u = 1, v = 31 n_start has 87 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(419,509) = 0.9719652264144659845 D2(419,509) = 0.04239003914049817616 C1(419,509) = 1.476233049099408939 C2(419,509) = 1.652605439658798492 C3(419,509) = 14.21564301513759619 C4(419,509) = 4072 Sum = 2428.319253215607082 Averaged sum = 0.2426135731057655192 logp*logq = 37.63071663905680744 -------------- ************************************* p = 419; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25346353270797285.71 -------------- Searches starting with [419,521]-exponents: u = 1, v = 27 n_start has 76 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(419,521) = 0.5603629329953149163 D2(419,521) = 0.04278542659522937172 C1(419,521) = 0.7865631445229689318 C2(419,521) = 1.692541926164469145 C3(419,521) = 4.113527796413461709 C4(419,521) = 4168 Sum = 4127.297566179114278 Averaged sum = 0.4123586338474487240 logp*logq = 37.77141125940435303 -------------- ************************************* p = 419; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25939541357935532.06 -------------- Searches starting with [419,523]-exponents: u = 1, v = 27 n_start has 77 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(419,523) = 0.6427930124417128672 D2(419,523) = 0.08811300581842879408 C1(419,523) = 0.8872779065074650686 C2(419,523) = 1.738427851130421312 C3(419,523) = 4.930159443943943575 C4(419,523) = 4184 Sum = 4040.740324164441598 Averaged sum = 0.4037106927929305223 logp*logq = 37.79454489276123776 -------------- ************************************* p = 419; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31819421925080531.14 -------------- Searches starting with [419,541]-exponents: u = 1, v = 23 n_start has 66 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(419,541) = 0.5704127658442585617 D2(419,541) = 0.009023102866083499482 C1(419,541) = 0.8087064440961217055 C2(419,541) = 1.723358604766653290 C3(419,541) = 4.280611173480227470 C4(419,541) = 4328 Sum = 4227.321085700701382 Averaged sum = 0.4223519917774704149 logp*logq = 37.99885325062452202 -------------- ************************************* p = 419; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34010581451896344.31 -------------- Searches starting with [419,547]-exponents: u = 1, v = 22 n_start has 63 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(419,547) = 0.7069663949455762975 D2(419,547) = 0.1215099028041594110 C1(419,547) = 1.005173623823752119 C2(419,547) = 1.837488479126464187 C3(419,547) = 6.094299919775984845 C4(419,547) = 4376 Sum = 4425.762054925390628 Averaged sum = 0.4421782450719742859 logp*logq = 38.06544809028162720 -------------- ************************************* p = 419; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37941913819642371.71 -------------- Searches starting with [419,557]-exponents: u = 1, v = 21 n_start has 61 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(419,557) = 0.6818910414944403348 D2(419,557) = 0.02785407319453016544 C1(419,557) = 0.9422311800053594856 C2(419,557) = 1.782452484373215803 C3(419,557) = 5.442182320976304814 C4(419,557) = 4456 Sum = 4243.614038765408508 Averaged sum = 0.4239798220367078137 logp*logq = 38.17483280146748184 -------------- ************************************* p = 419; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40477590483118921.45 -------------- Searches starting with [419,563]-exponents: u = 1, v = 20 n_start has 58 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(419,563) = 0.5946398726799349399 D2(419,563) = 0.1326331266695301254 C1(419,563) = 0.8789090033449736561 C2(419,563) = 1.888848051334762315 C3(419,563) = 4.856527180692205917 C4(419,563) = 4504 Sum = 3894.234861268382275 Averaged sum = 0.3890733201387133855 logp*logq = 38.23952489447992674 -------------- ************************************* p = 419; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43153123320141051.16 -------------- Searches starting with [419,569]-exponents: u = 1, v = 19 n_start has 55 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(419,569) = 0.6030380068601540122 D2(419,569) = 0.07575812697672657639 C1(419,569) = 0.8484176122250606337 C2(419,569) = 1.853632044283061337 C3(419,569) = 4.597434913669554296 C4(419,569) = 4552 Sum = 4267.368839530209909 Averaged sum = 0.4263531661035278159 logp*logq = 38.30353119267440015 -------------- ************************************* p = 419; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44077098161638849.13 -------------- Searches starting with [419,571]-exponents: u = 1, v = 19 n_start has 55 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(419,571) = 0.9788601127488979948 D2(419,571) = 0.1097590971841715102 C1(419,571) = 1.452810661349399278 C2(419,571) = 1.888166043374193536 C3(419,571) = 13.62938768621054263 C4(419,571) = 4568 Sum = 4452.609155649968752 Averaged sum = 0.4448605410780266512 logp*logq = 38.32471672640958517 -------------- ************************************* p = 419; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46948654142897665.87 -------------- Searches starting with [419,577]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(419,577) = 0.6590116699998932690 D2(419,577) = 0.04260460900777483883 C1(419,577) = 1.054553321473887381 C2(419,577) = 1.844325655460143641 C3(419,577) = 6.660144173903663598 C4(419,577) = 4616 Sum = 4121.999864955589617 Averaged sum = 0.4118293400894784311 logp*logq = 38.38783093440110826 -------------- ************************************* p = 419; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52081019768201043.22 -------------- Searches starting with [419,587]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(419,587) = 0.8267149960435336876 D2(419,587) = 0.02207175176764971661 C1(419,587) = 1.105209702356098659 C2(419,587) = 1.850073685155570461 C3(419,587) = 7.295253354867206827 C4(419,587) = 4696 Sum = 4001.822249086578061 Averaged sum = 0.3998223847623716715 logp*logq = 38.49157697342192905 -------------- ************************************* p = 419; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 55379150870761289.28 -------------- Searches starting with [419,593]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(419,593) = 0.5647645980904660629 D2(419,593) = 0.1043029114028832657 C1(419,593) = 0.7893385225353589078 C2(419,593) = 1.933873141141926914 C3(419,593) = 4.134106725448021222 C4(419,593) = 4744 Sum = 4211.943168324615582 Averaged sum = 0.4208155828079344172 logp*logq = 38.55297957975807793 -------------- ************************************* p = 419; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58849752826933803.68 -------------- Searches starting with [419,599]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(419,599) = 0.6947494105834158098 D2(419,599) = 0.007129782257742929091 C1(419,599) = 1.126941284805017233 C2(419,599) = 1.864148174368450034 C3(419,599) = 7.585954267476435995 C4(419,599) = 4792 Sum = 4043.509085537703467 Averaged sum = 0.4039873199658011257 logp*logq = 38.61376402855604885 -------------- ************************************* p = 419; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60046177347956535.37 -------------- Searches starting with [419,601]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(419,601) = 0.6706336072908292674 D2(419,601) = 0.03000763853084829076 C1(419,601) = 0.9535152139026519821 C2(419,601) = 1.887544349510128965 C3(419,601) = 5.553728010781257137 C4(419,601) = 4808 Sum = 4346.782036491708184 Averaged sum = 0.4342873450386360460 logp*logq = 38.63389028359122444 -------------- ************************************* p = 419; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63757908555144814.91 -------------- Searches starting with [419,607]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(419,607) = 0.6961437394368442852 D2(419,607) = 0.1072425007571329598 C1(419,607) = 0.9571446856431060767 C2(419,607) = 1.966323835136485588 C3(419,607) = 5.590090031497983887 C4(419,607) = 4856 Sum = 4070.865395178184535 Averaged sum = 0.4067204910758501883 logp*logq = 38.69386962702191796 -------------- ************************************* p = 419; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67659150322524457.69 -------------- Searches starting with [419,613]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(419,613) = 0.6412815781744430900 D2(419,613) = 0.1401774494680426303 C1(419,613) = 1.048260204017806451 C2(419,613) = 1.410803583166663341 C3(419,613) = 6.585207087477331088 C4(419,613) = 4904 Sum = 4174.898821593426366 Averaged sum = 0.4171144791281273220 logp*logq = 38.75325900013716533 -------------- ************************************* p = 419; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70369043879293823.47 -------------- Searches starting with [419,617]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(419,617) = 0.9092221623951849113 D2(419,617) = 0.03384844402201705856 C1(419,617) = 1.279190432606212243 C2(419,617) = 1.924017163692227769 C3(419,617) = 9.974683332370390588 C4(419,617) = 4936 Sum = 4668.676083897055587 Averaged sum = 0.4664478053648771692 logp*logq = 38.79252984374687103 -------------- ************************************* p = 419; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71757580543259782.60 -------------- Searches starting with [419,619]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(419,619) = 0.7229776525973739455 D2(419,619) = 0.05624435783133943395 C1(419,619) = 1.094763211747964609 C2(419,619) = 1.946920751170685979 C3(419,619) = 7.159503132681333489 C4(419,619) = 4952 Sum = 3433.325030106050021 Averaged sum = 0.3430237816071585593 logp*logq = 38.81206989614048628 -------------- ************************************* p = 419; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80577881145107962.08 -------------- Searches starting with [419,631]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(419,631) = 0.8854728229108639221 D2(419,631) = 0.1319998223392922915 C1(419,631) = 1.269753277460605894 C2(419,631) = 1.784068675404336805 C3(419,631) = 9.806855928488799520 C4(419,631) = 5048 Sum = 4824.671988952887796 Averaged sum = 0.4820333688633117989 logp*logq = 38.92800057928110636 -------------- ************************************* p = 419; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88602601335938161.46 -------------- Searches starting with [419,641]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(419,641) = 0.9423242751506109381 D2(419,641) = 0.09151432447133478359 C1(419,641) = 1.333562904005517415 C2(419,641) = 2.019381483903009899 C3(419,641) = 10.99911392578030254 C4(419,641) = 5128 Sum = 5005.487440927928201 Averaged sum = 0.5000986553030201020 logp*logq = 39.02293761254148024 -------------- ************************************* p = 419; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90284951779132357.63 -------------- Searches starting with [419,643]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(419,643) = 0.7097666174935981510 D2(419,643) = 0.09079087504965149270 C1(419,643) = 0.9641269361237215860 C2(419,643) = 1.329740802556839929 C3(419,643) = 5.660712900715277247 C4(419,643) = 5144 Sum = 3983.124885930912634 Averaged sum = 0.3979543296963645353 logp*logq = 39.04174719448227257 -------------- ************************************* p = 419; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93729697399155205.00 -------------- Searches starting with [419,647]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(419,647) = 0.6842769238798319997 D2(419,647) = 0.1091986608650423883 C1(419,647) = 1.138613079393702501 C2(419,647) = 1.369045375435241572 C3(419,647) = 7.746839098625007379 C4(419,647) = 5176 Sum = 4172.842439934192953 Averaged sum = 0.4169090258701361727 logp*logq = 39.07919147523279187 -------------- ************************************* p = 419; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99102004599609332.08 -------------- Searches starting with [419,653]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(419,653) = 0.6646169003266739682 D2(419,653) = 0.1144610473744637247 C1(419,653) = 0.9431479883808524257 C2(419,653) = 1.796554416889285820 C3(419,653) = 5.451160986311646492 C4(419,653) = 5224 Sum = 4263.945303259577230 Averaged sum = 0.4260111203176718183 logp*logq = 39.13492606409057344 -------------- ************************************* p = 419; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104728834731403462.5 -------------- Searches starting with [419,659]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(419,659) = 1.370174516225619495 D2(419,659) = 0.04312502204184644729 C1(419,659) = 2.025189991106992622 C2(419,659) = 2.010889156565762794 C3(419,659) = 38.14504267582784870 C4(419,659) = 5272 Sum = 4712.231716514990206 Averaged sum = 0.4707994521445689086 logp*logq = 39.19015087822692255 -------------- ************************************* p = 419; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106662652740790893.7 -------------- Searches starting with [419,661]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(419,661) = 0.7822797878731112012 D2(419,661) = 0.06196386662790287938 C1(419,661) = 1.130180226462435777 C2(419,661) = 2.030212839957682674 C3(419,661) = 7.630262119138171013 C4(419,661) = 5288 Sum = 3763.250190204877322 Averaged sum = 0.3759866310525404458 logp*logq = 39.20844747077321533 -------------- ************************************* p = 419; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118902207421970974.0 -------------- Searches starting with [419,673]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(419,673) = 0.7097157943139510546 D2(419,673) = 0.09987870615791018899 C1(419,673) = 1.028158373523319547 C2(419,673) = 1.814191981901134742 C3(419,673) = 6.351440626790760717 C4(419,673) = 5384 Sum = 4299.899584469212456 Averaged sum = 0.4296033154630045415 logp*logq = 39.31707776380069668 -------------- ************************************* p = 419; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 123233564044066110.7 -------------- Searches starting with [419,677]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(419,677) = 0.7806224119288261690 D2(419,677) = 0.09675239826944552426 C1(419,677) = 1.056175883155417438 C2(419,677) = 1.812099561692377650 C3(419,677) = 6.679603178985089679 C4(419,677) = 5416 Sum = 3862.067769991662602 Averaged sum = 0.3858595034460648019 logp*logq = 39.35285784432892822 -------------- ************************************* p = 419; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129976949957198137.0 -------------- Searches starting with [419,683]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(419,683) = 0.9030978602158810645 D2(419,683) = 0.01432364424779004329 C1(419,683) = 1.213513211681520010 C2(419,683) = 2.027989768414731812 C3(419,683) = 8.863654874640967359 C4(419,683) = 5464 Sum = 3719.026837695481928 Averaged sum = 0.3715682723244561822 logp*logq = 39.40613352162378931 -------------- ************************************* p = 419; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 139444673575743754.3 -------------- Searches starting with [419,691]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(419,691) = 0.7668105554192090226 D2(419,691) = 0.06115232289082266017 C1(419,691) = 1.304443852716861536 C2(419,691) = 1.280830885173330600 C3(419,691) = 10.43804354375569396 C4(419,691) = 5528 Sum = 3913.867275658318195 Averaged sum = 0.3910347962492075328 logp*logq = 39.47644431231166451 -------------- ************************************* p = 419; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152082088163336642.9 -------------- Searches starting with [419,701]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(419,701) = 0.5747816165168586952 D2(419,701) = 0.08036439687136369346 C1(419,701) = 0.8376332832321085252 C2(419,701) = 1.832295567968591411 C3(419,701) = 4.509145835342036441 C4(419,701) = 5608 Sum = 4016.550044395305650 Averaged sum = 0.4012938399835453742 logp*logq = 39.56319682368660341 -------------- ************************************* p = 419; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162867341123739118.9 -------------- Searches starting with [419,709]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(419,709) = 0.7594506817391355216 D2(419,709) = 0.06878689176991509644 C1(419,709) = 1.183676863846495289 C2(419,709) = 1.684443689257934948 C3(419,709) = 8.400673700252294885 C4(419,709) = 5672 Sum = 3220.998460702610996 Averaged sum = 0.3218102168750735334 logp*logq = 39.63171240621854439 -------------- ************************************* p = 419; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 177239409051184999.3 -------------- Searches starting with [419,719]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(419,719) = 0.9107814418742697259 D2(419,719) = 0.02713256837344127530 C1(419,719) = 1.245139436808723773 C2(419,719) = 2.095143396015800334 C3(419,719) = 9.382298481483271850 C4(419,719) = 5752 Sum = 4222.865330358110031 Averaged sum = 0.4219068169006004627 logp*logq = 39.71627780706345806 -------------- ************************************* p = 419; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189485248524382678.2 -------------- Searches starting with [419,727]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(419,727) = 0.8705878517155782740 D2(419,727) = 0.04895691970157594486 C1(419,727) = 1.500535762219588679 C2(419,727) = 1.212462294860400546 C3(419,727) = 14.85060355255865919 C4(419,727) = 5816 Sum = 3913.617860908884490 Averaged sum = 0.3910098772014071825 logp*logq = 39.78308757220464114 -------------- ************************************* p = 419; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 199126000559807301.5 -------------- Searches starting with [419,733]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(419,733) = 0.7592576358453786195 D2(419,733) = 0.05966919388330224769 C1(419,733) = 1.094063707939733531 C2(419,733) = 1.854347071938397442 C3(419,733) = 7.150503972232671761 C4(419,733) = 5864 Sum = 4487.266121769237255 Averaged sum = 0.4483231213676928019 logp*logq = 39.83271418791073345 -------------- ************************************* p = 419; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 209172619021162762.3 -------------- Searches starting with [419,739]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(419,739) = 0.5949682670423264290 D2(419,739) = 0.05574737325049340071 C1(419,739) = 0.8049871165996733438 C2(419,739) = 1.851894836367015494 C3(419,739) = 4.252079913910283127 C4(419,739) = 5912 Sum = 3962.477118825482511 Averaged sum = 0.3958914096138957449 logp*logq = 39.88193623431530284 -------------- ************************************* p = 419; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 216102539281140714.4 -------------- Searches starting with [419,743]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(419,743) = 0.6176205134258868198 D2(419,743) = 0.05317394700370272405 C1(419,743) = 0.9718332122220133391 C2(419,743) = 1.850294394113687121 C3(419,743) = 5.739695266200433037 C4(419,743) = 5944 Sum = 4012.103347115957189 Averaged sum = 0.4008495700985070626 logp*logq = 39.91452940884565388 -------------- ************************************* p = 419; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 230538122423307304.2 -------------- Searches starting with [419,751]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(419,751) = 0.6979623631890068417 D2(419,751) = 0.04424881234939015589 C1(419,751) = 1.053857316338494166 C2(419,751) = 1.698493260101577389 C3(419,751) = 6.651814529363308925 C4(419,751) = 6008 Sum = 3661.527277312363239 Averaged sum = 0.3658234865933023518 logp*logq = 39.97919263379475820 -------------- ************************************* p = 419; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 241885194480704666.6 -------------- Searches starting with [419,757]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(419,757) = 0.6439600176999561557 D2(419,757) = 0.03713585080937304679 C1(419,757) = 0.9316101687855760153 C2(419,757) = 1.542588376388308190 C3(419,757) = 5.339238382023387794 C4(419,757) = 6056 Sum = 4159.937623109932364 Averaged sum = 0.4156197045768740497 logp*logq = 40.02723960553038474 -------------- ************************************* p = 419; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 249705798995768331.4 -------------- Searches starting with [419,761]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(419,761) = 1.038867572888707112 D2(419,761) = 0.01295454858671875209 C1(419,761) = 1.395225396286646842 C2(419,761) = 2.143781121223926588 C3(419,761) = 12.28878491854686372 C4(419,761) = 6088 Sum = 3719.396883094113542 Averaged sum = 0.3716052435901801920 logp*logq = 40.05905981577843869 -------------- ************************************* p = 419; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 265981067145720010.2 -------------- Searches starting with [419,769]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(419,769) = 0.7994701438094970974 D2(419,769) = 0.03634495494777472932 C1(419,769) = 1.398949391338095450 C2(419,769) = 1.270276630566316867 C3(419,769) = 12.37134592314731548 C4(419,769) = 6152 Sum = 4145.345181216054863 Averaged sum = 0.4141617725263317877 logp*logq = 40.12220152501533267 -------------- ************************************* p = 419; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 274444781911686357.4 -------------- Searches starting with [419,773]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(419,773) = 0.7690366541715118341 D2(419,773) = 0.03562037964620927687 C1(419,773) = 1.088329850590713007 C2(419,773) = 1.880246176676948545 C3(419,773) = 7.077162632863847109 C4(419,773) = 6184 Sum = 3827.302189713617835 Averaged sum = 0.3823860715070054786 logp*logq = 40.15352647683345632 -------------- ************************************* p = 419; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 305859251467324415.8 -------------- Searches starting with [419,787]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(419,787) = 0.5659000444558697904 D2(419,787) = 0.02741741369724049297 C1(419,787) = 0.8023123339447778743 C2(419,787) = 1.875342608943779418 C3(419,787) = 4.231679071408410329 C4(419,787) = 6296 Sum = 4101.575956955804345 Averaged sum = 0.4097887857883709006 logp*logq = 40.26190142852277159 -------------- ************************************* p = 419; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 330088826806960338.4 -------------- Searches starting with [419,797]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(419,797) = 0.6021779608054511934 D2(419,797) = 0.01995584583237492701 C1(419,797) = 0.8762048329928965135 C2(419,797) = 1.717612495970235206 C3(419,797) = 4.832970906956059221 C4(419,797) = 6376 Sum = 3858.417244682299896 Averaged sum = 0.3854947791669797079 logp*logq = 40.33813818529319366 -------------- ************************************* p = 419; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 361258284502624039.5 -------------- Searches starting with [419,809]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(419,809) = 0.5363176921205720425 D2(419,809) = 0.01221167084717429795 C1(419,809) = 0.7709035906804646211 C2(419,809) = 1.506273323333020313 C3(419,809) = 3.999319899047092648 C4(419,809) = 6472 Sum = 4163.347830050823848 Averaged sum = 0.4159604186283168996 logp*logq = 40.42836956695360882 -------------- ************************************* p = 419; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 366684389106165068.3 -------------- Searches starting with [419,811]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(419,811) = 1.327655656569188028 D2(419,811) = 0.01080278772297851289 C1(419,811) = 1.887677345125418629 C2(419,811) = 1.434388480092197236 C3(419,811) = 29.78905348748185330 C4(419,811) = 6488 Sum = 4263.947306987094843 Averaged sum = 0.4260113205102502591 logp*logq = 40.44327789778689565 -------------- ************************************* p = 419; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 394846051193608158.4 -------------- Searches starting with [419,821]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(419,821) = 1.006485783272919811 D2(419,821) = 0.008968551896033028000 C1(419,821) = 1.792434250779389787 C2(419,821) = 1.912287686157639747 C3(419,821) = 25.10053119864453140 C4(419,821) = 6568 Sum = 3619.083464164698998 Averaged sum = 0.3615829217868617242 logp*logq = 40.51727234002829693 -------------- ************************************* p = 419; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 400689428962717974.3 -------------- Searches starting with [419,823]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(419,823) = 0.7935074275271775134 D2(419,823) = 0.007893655951004034354 C1(419,823) = 1.413144542114095838 C2(419,823) = 1.911670342318130650 C3(419,823) = 12.69117153989255524 C4(419,823) = 6584 Sum = 4219.424303980621003 Averaged sum = 0.4215630236767530226 logp*logq = 40.53196303077907813 -------------- ************************************* p = 419; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 412592828353150409.2 -------------- Searches starting with [419,827]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(419,827) = 0.6012976816246781234 D2(419,827) = 0.005759966711512663888 C1(419,827) = 1.070841314771020642 C2(419,827) = 1.910448366401459738 C3(419,827) = 6.858081802894255072 C4(419,827) = 6616 Sum = 3760.591854186039895 Averaged sum = 0.3757210364857667994 logp*logq = 40.56123761379995098 -------------- ************************************* p = 419; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 418654273016951394.9 -------------- Searches starting with [419,829]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(419,829) = 0.5711789156814365991 D2(419,829) = 0.004701068112017701276 C1(419,829) = 0.7828460102155465864 C2(419,829) = 1.909843640061800450 C3(419,829) = 4.086126299512946474 C4(419,829) = 6632 Sum = 4154.619403015276452 Averaged sum = 0.4150883607768284996 logp*logq = 40.57582185016603461 -------------- ************************************* p = 419; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 450087881741510688.7 -------------- Searches starting with [419,839]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(419,839) = 0.5540936482896358354 D2(419,839) = 0.08808275566819493793 C1(419,839) = 0.7718754697302001882 C2(419,839) = 1.718184701120636627 C3(419,839) = 4.006314774681410851 C4(419,839) = 6712 Sum = 3931.043507956043705 Averaged sum = 0.3927508750080970831 logp*logq = 40.64821925136681491 -------------- ************************************* p = 419; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 497384128749897225.7 -------------- Searches starting with [419,853]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(419,853) = 0.9838940569499147680 D2(419,853) = 0.1106895123092871214 C1(419,853) = 1.584718917412650453 C2(419,853) = 1.237592958786352197 C3(419,853) = 17.27751857731442978 C4(419,853) = 6824 Sum = 3008.338662196722824 Averaged sum = 0.3005633591963955264 logp*logq = 40.74813901734689456 -------------- ************************************* p = 419; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 511634254601140381.5 -------------- Searches starting with [419,857]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(419,857) = 0.7961839626050327414 D2(419,857) = 0.1391955182724484807 C1(419,857) = 1.081514091942188815 C2(419,857) = 1.888428721073150531 C3(419,857) = 6.990960689988376506 C4(419,857) = 6856 Sum = 4128.040099418208479 Averaged sum = 0.4124328204034577359 logp*logq = 40.77638641820102377 -------------- ************************************* p = 419; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 518886059667936551.4 -------------- Searches starting with [419,859]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(419,859) = 0.6040999664853357541 D2(419,859) = 0.1269045382450572887 C1(419,859) = 0.8181227491727705356 C2(419,859) = 1.876563114343212593 C3(419,859) = 4.353703220379060621 C4(419,859) = 6872 Sum = 3756.261275495785018 Averaged sum = 0.3752883680183619759 logp*logq = 40.79046071576246471 -------------- ************************************* p = 419; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 533647161862797278.6 -------------- Searches starting with [419,863]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(419,863) = 0.7340855433760508261 D2(419,863) = 0.1037969646201377483 C1(419,863) = 1.004828139104034763 C2(419,863) = 1.854303282925561341 C3(419,863) = 6.090515320534641639 C4(419,863) = 6904 Sum = 4047.120259325202754 Averaged sum = 0.4043481126311522383 logp*logq = 40.81851126990703166 -------------- ************************************* p = 419; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 588100653683179322.0 -------------- Searches starting with [419,877]-exponents: u = 46, v = 8 n_start has 145 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(419,877) = 0.5792335089034214078 D2(419,877) = 0.03448303895006516640 C1(419,877) = 0.8391366067747111672 C2(419,877) = 1.787925394475148221 C3(419,877) = 4.521350783762033285 C4(419,877) = 7016 Sum = 4048.952378679301352 Averaged sum = 0.4045311598240884556 logp*logq = 40.91567450789303159 -------------- ************************************* p = 419; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 604483425436153506.9 -------------- Searches starting with [419,881]-exponents: u = 73, v = 8 n_start has 215 digits starting right neighbors generation We generated 2926 left neighbors We generated 7084 right neighbors We generated 10009 non-negative rho_i D1(419,881) = 0.8997448736275477024 D2(419,881) = 0.01713537170274685340 C1(419,881) = 1.276811152807998344 C2(419,881) = 1.771407870034514382 C3(419,881) = 9.932102111409830947 C4(419,881) = 7048 Sum = 3953.278350922164894 Averaged sum = 0.3949723599682450689 logp*logq = 40.94315064595630750 -------------- ************************************* p = 419; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 612816518715173806.8 -------------- Searches starting with [419,883]-exponents: u = 91, v = 8 n_start has 263 digits starting right neighbors generation We generated 4400 left neighbors We generated 5610 right neighbors We generated 10009 non-negative rho_i D1(419,883) = 0.9159802360408263933 D2(419,883) = 0.008780760915165751377 C1(419,883) = 1.281094598846389732 C2(419,883) = 1.763466898668606977 C3(419,883) = 10.00889307224167028 C4(419,883) = 7064 Sum = 4151.781578212180846 Averaged sum = 0.4148048334710940998 logp*logq = 40.95684196910165151 -------------- ************************************* p = 419; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 629770478217869133.4 -------------- Searches starting with [419,887]-exponents: u = 172, v = 8 n_start has 475 digits --- performed 5000 steps in the continued fraction search [419,887]-exponents: u = 93, v = 46 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(419,887) = 0.5209008419624354925 D2(419,887) = 0.1246088023409572684 C1(419,887) = 0.7028547070966845013 C2(419,887) = 1.495204300717912672 C3(419,887) = 3.538733615525898058 C4(419,887) = 7096 Sum = 4665.270879347547681 Averaged sum = 0.4665737453092856967 logp*logq = 40.98413182762640743 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(419,887) = 0.5209008419624354925 D2(419,887) = 0.1246088023409572684 C1(419,887) = 0.7028547070966845013 C2(419,887) = 1.495204300717912672 C3(419,887) = 3.538733615525898058 C4(419,887) = 7096 Sum = 4665.270879347547681 Averaged sum = 0.4665737453092856967 logp*logq = 40.98413182762640743 -------------- ************************************* p = 419; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 720528279983448308.2 -------------- Searches starting with [419,907]-exponents: u = 9, v = 39 n_start has 139 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(419,907) = 1.051558247708274071 D2(419,907) = 0.02206550227058743856 C1(419,907) = 1.464864511461645811 C2(419,907) = 1.574624070426526968 C3(419,907) = 13.92800781315766215 C4(419,907) = 7256 Sum = 4718.739676787777587 Averaged sum = 0.4714496629820938742 logp*logq = 41.11876106007748081 -------------- ************************************* p = 419; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 739928823429288534.6 -------------- Searches starting with [419,911]-exponents: u = 9, v = 31 n_start has 116 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(419,911) = 0.5883846745124344171 D2(419,911) = 0.03494605384649444768 C1(419,911) = 0.8305081543460713795 C2(419,911) = 1.642979864038719412 C3(419,911) = 4.451746066600123172 C4(419,911) = 7288 Sum = 3968.717190240033564 Averaged sum = 0.3965148556539148330 logp*logq = 41.14533039192785426 -------------- ************************************* p = 419; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 780039423666849932.6 -------------- Searches starting with [419,919]-exponents: u = 9, v = 23 n_start has 92 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(419,919) = 1.323252568403564930 D2(419,919) = 0.06317692400768216940 C1(419,919) = 1.805426805350331501 C2(419,919) = 1.746390848548458194 C3(419,919) = 25.69381472695861478 C4(419,919) = 7352 Sum = 4490.163284609027065 Averaged sum = 0.4486125771414753786 logp*logq = 41.19812085647968819 -------------- ************************************* p = 419; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 832713814205701489.2 -------------- Searches starting with [419,929]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(419,929) = 0.8932355560272970686 D2(419,929) = 0.1059144696718933805 C1(419,929) = 1.239767897736473240 C2(419,929) = 1.899501626672155471 C3(419,929) = 9.292117592193494998 C4(419,929) = 7432 Sum = 4402.055116482128883 Averaged sum = 0.4398096829335726729 logp*logq = 41.26346641766983166 -------------- ************************************* p = 419; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 876960550604984107.8 -------------- Searches starting with [419,937]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(419,937) = 1.217220077027298782 D2(419,937) = 0.08945480417699593513 C1(419,937) = 1.989717883739936716 C2(419,937) = 1.217183854187939404 C3(419,937) = 35.78808912795315347 C4(419,937) = 7496 Sum = 3460.719881952709199 Averaged sum = 0.3457608034721459885 logp*logq = 41.31523840406473499 -------------- ************************************* p = 419; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 899808963443005725.6 -------------- Searches starting with [419,941]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(419,941) = 0.6756373815528585125 D2(419,941) = 0.1191659820315400727 C1(419,941) = 0.9340866195032396236 C2(419,941) = 1.466488614555697959 C3(419,941) = 5.363065876930785820 C4(419,941) = 7528 Sum = 3953.746566277907570 Averaged sum = 0.3950191394023286612 logp*logq = 41.34095887286294603 -------------- ************************************* p = 419; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 935011571704167896.5 -------------- Searches starting with [419,947]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(419,947) = 0.7189863742382381455 D2(419,947) = 0.09540246369672369469 C1(419,947) = 1.064870274513329501 C2(419,947) = 1.909059600100832446 C3(419,947) = 6.784845650934649571 C4(419,947) = 7576 Sum = 3546.340297749655119 Averaged sum = 0.3543151461434364191 logp*logq = 41.37933530027697856 -------------- ************************************* p = 419; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 971355922574780037.3 -------------- Searches starting with [419,953]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(419,953) = 0.7932773458143240662 D2(419,953) = 0.06973528540906093690 C1(419,953) = 1.064576392874715026 C2(419,953) = 1.884573380045231308 C3(419,953) = 6.781261388490704782 C4(419,953) = 7624 Sum = 3813.937978569672135 Averaged sum = 0.3810508520900861360 logp*logq = 41.41746934863820349 -------------- ************************************* p = 419; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.060766244955696920 E18 -------------- Searches starting with [419,967]-exponents: u = 33, v = 7 n_start has 108 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(419,967) = 0.6357344903546619029 D2(419,967) = 0.01674644433584069136 C1(419,967) = 0.9013167479220673271 C2(419,967) = 1.834311046298204065 C3(419,967) = 5.056193301973329086 C4(419,967) = 7736 Sum = 4143.223505587373222 Averaged sum = 0.4139497957425690101 logp*logq = 41.50552319346995734 -------------- ************************************* p = 419; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.087537196130430703 E18 -------------- Searches starting with [419,971]-exponents: u = 41, v = 7 n_start has 129 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(419,971) = 0.6149027579219323339 D2(419,971) = 0.003004697385708097715 C1(419,971) = 0.8606100631984362323 C2(419,971) = 1.821340952932022924 C3(419,971) = 4.699335777014983303 C4(419,971) = 7768 Sum = 4031.903768921890245 Averaged sum = 0.4028278318435298476 logp*logq = 41.53044736062693066 -------------- ************************************* p = 419; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.128749159442034159 E18 -------------- Searches starting with [419,977]-exponents: u = 57, v = 7 n_start has 171 digits starting right neighbors generation We generated 1661 left neighbors We generated 8349 right neighbors We generated 10009 non-negative rho_i D1(419,977) = 0.5924141125836503691 D2(419,977) = 0.02764987063644437350 C1(419,977) = 0.8141431695655838217 C2(419,977) = 1.742608513543564988 C3(419,977) = 4.322661536989024242 C4(419,977) = 7816 Sum = 4171.824676756554261 Averaged sum = 0.4168073410686936019 logp*logq = 41.56764175496123475 -------------- ************************************* p = 419; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.171256088903633389 E18 -------------- Searches starting with [419,983]-exponents: u = 97, v = 7 n_start has 276 digits starting right neighbors generation We generated 4480 left neighbors We generated 5530 right neighbors We generated 10009 non-negative rho_i D1(419,983) = 0.5571923038198503592 D2(419,983) = 0.01746327300647548977 C1(419,983) = 0.7761920256053655155 C2(419,983) = 1.661024343971203509 C3(419,983) = 4.037530325688858344 C4(419,983) = 7864 Sum = 4064.801897314660476 Averaged sum = 0.4061146865136038041 logp*logq = 41.60460842708684459 -------------- ************************************* p = 419; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.230002494932166498 E18 -------------- Searches starting with [419,991]-exponents: u = 569, v = 7 n_start has 1514 digits --- performed 5000 steps in the continued fraction search [419,991]-exponents: u = 271, v = 259 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(419,991) = 0.5500737867727889828 D2(419,991) = 0.3729801877966453670 C1(419,991) = 0.7059816702663692998 C2(419,991) = 1.478127879549238374 C3(419,991) = 3.558685973242742643 C4(419,991) = 7928 Sum = 5419.160211902318459 Averaged sum = 0.5419702182120530512 logp*logq = 41.65354787167522660 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(419,991) = 0.5500737867727889828 D2(419,991) = 0.3729801877966453670 C1(419,991) = 0.7059816702663692998 C2(419,991) = 1.478127879549238374 C3(419,991) = 3.558685973242742643 C4(419,991) = 7928 Sum = 5419.160211902318459 Averaged sum = 0.5419702182120530512 logp*logq = 41.65354787167522660 -------------- ************************************* p = 419; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.275658109005827466 E18 -------------- Searches starting with [419,997]-exponents: u = 8, v = 195 n_start has 606 digits --- performed 5000 steps in the continued fraction search [419,997]-exponents: u = 181, v = 20 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(419,997) = 0.5501129061946629733 D2(419,997) = 0.1927553469397707458 C1(419,997) = 0.7330428940722463009 C2(419,997) = 1.477023915551772402 C3(419,997) = 3.736124487488953766 C4(419,997) = 7976 Sum = 4825.546241439148395 Averaged sum = 0.4826028844323580753 logp*logq = 41.68999388326257360 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(419,997) = 0.5501129061946629733 D2(419,997) = 0.1927553469397707458 C1(419,997) = 0.7330428940722463009 C2(419,997) = 1.477023915551772402 C3(419,997) = 3.736124487488953766 C4(419,997) = 7976 Sum = 4825.546241439148395 Averaged sum = 0.4826028844323580753 logp*logq = 41.68999388326257360 -------------- ************************************* p = 421; q = 431; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8301925891578816.663 -------------- Searches starting with [421,431]-exponents: u = 1, v = 257 n_start has 680 digits --- performed 5000 steps in the continued fraction search [421,431]-exponents: u = 50, v = 188 --- starting right neighbors generation We generated 7563 left neighbors We generated 2447 right neighbors We generated 10009 non-negative rho_i D1(421,431) = 0.6328473936872720556 D2(421,431) = 0.0007956096121015170720 C1(421,431) = 0.8378538087996154860 C2(421,431) = 1.127106289257295412 C3(421,431) = 4.513914746475784584 C4(421,431) = 3448 Sum = 5109.118576670355280 Averaged sum = 0.5104524504616200700 logp*logq = 36.65526391792722820 -------------- ************************************* p = 421; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8537453044687059.022 -------------- Searches starting with [421,433]-exponents: u = 1, v = 215 n_start has 570 digits --- performed 5000 steps in the continued fraction search [421,433]-exponents: u = 116, v = 76 --- starting right neighbors generation We generated 5316 left neighbors We generated 4694 right neighbors We generated 10009 non-negative rho_i D1(421,433) = 1.313963839908100847 D2(421,433) = 0.005307570397840702123 C1(421,433) = 1.753682552252581541 C2(421,433) = 1.160418671929489847 C3(421,433) = 23.44351710617811147 C4(421,433) = 3464 Sum = 4977.962731070531594 Averaged sum = 0.4973486593136708556 logp*logq = 36.68323911990222727 -------------- ************************************* p = 421; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9277754402798051.960 -------------- Searches starting with [421,439]-exponents: u = 1, v = 144 n_start has 384 digits starting right neighbors generation We generated 2474 left neighbors We generated 7536 right neighbors We generated 10009 non-negative rho_i D1(421,439) = 0.6306302176141581887 D2(421,439) = 0.002848236203940870775 C1(421,439) = 0.8585721581842257760 C2(421,439) = 1.229074910515283033 C3(421,439) = 4.685317971732252001 C4(421,439) = 3512 Sum = 4585.984814016209327 Averaged sum = 0.4581861138991117321 logp*logq = 36.76639592996920923 -------------- ************************************* p = 421; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9800450675337201.653 -------------- Searches starting with [421,443]-exponents: u = 1, v = 118 n_start has 315 digits starting right neighbors generation We generated 1588 left neighbors We generated 8422 right neighbors We generated 10009 non-negative rho_i D1(421,443) = 0.6014164852549540386 D2(421,443) = 0.01580562068062302436 C1(421,443) = 0.8273911663933847592 C2(421,443) = 1.278890788623255436 C3(421,443) = 4.429754540248985583 C4(421,443) = 3544 Sum = 4729.482363771188643 Averaged sum = 0.4725229657079816807 logp*logq = 36.82120476680913528 -------------- ************************************* p = 421; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10630429782315663.16 -------------- Searches starting with [421,449]-exponents: u = 1, v = 93 n_start has 250 digits starting right neighbors generation We generated 989 left neighbors We generated 9021 right neighbors We generated 10009 non-negative rho_i D1(421,449) = 0.7236164421503082251 D2(421,449) = 0.01959766171531644423 C1(421,449) = 1.009454223684856789 C2(421,449) = 1.331477200937878259 C3(421,449) = 6.146276495567265951 C4(421,449) = 3592 Sum = 4845.650782472962628 Averaged sum = 0.4841293618216567716 logp*logq = 36.90249701752113797 -------------- ************************************* p = 421; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11827609171789727.18 -------------- Searches starting with [421,457]-exponents: u = 1, v = 73 n_start has 197 digits starting right neighbors generation We generated 638 left neighbors We generated 9372 right neighbors We generated 10009 non-negative rho_i D1(421,457) = 0.5758584273588425494 D2(421,457) = 0.02271686715272719011 C1(421,457) = 0.8157842917989059144 C2(421,457) = 1.389619533300972892 C3(421,457) = 4.338224946006653609 C4(421,457) = 3656 Sum = 4540.061033497315034 Averaged sum = 0.4535978652709876145 logp*logq = 37.00921295372646468 -------------- ************************************* p = 421; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12467135247503121.11 -------------- Searches starting with [421,461]-exponents: u = 1, v = 66 n_start has 179 digits starting right neighbors generation We generated 575 left neighbors We generated 9435 right neighbors We generated 10009 non-negative rho_i D1(421,461) = 0.6412261451066062939 D2(421,461) = 0.001927529835810791240 C1(421,461) = 0.8763744421554262244 C2(421,461) = 1.395993115596584094 C3(421,461) = 4.837786303486552375 C4(421,461) = 3688 Sum = 4473.433604925036790 Averaged sum = 0.4469411134903623529 logp*logq = 37.06187239665481090 -------------- ************************************* p = 421; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12797561261034685.50 -------------- Searches starting with [421,463]-exponents: u = 1, v = 63 n_start has 171 digits starting right neighbors generation We generated 491 left neighbors We generated 9519 right neighbors We generated 10009 non-negative rho_i D1(421,463) = 0.7189733868319021602 D2(421,463) = 0.02512681455868246438 C1(421,463) = 0.9850990479192902702 C2(421,463) = 1.427971120600541381 C3(421,463) = 5.882815010774737637 C4(421,463) = 3704 Sum = 4474.348672541245585 Averaged sum = 0.4470325379699516020 logp*logq = 37.08803102120211572 -------------- ************************************* p = 421; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13480370416858413.28 -------------- Searches starting with [421,467]-exponents: u = 1, v = 58 n_start has 158 digits starting right neighbors generation We generated 451 left neighbors We generated 9559 right neighbors We generated 10009 non-negative rho_i D1(421,467) = 0.6046075101000730181 D2(421,467) = 0.01514874572944107904 C1(421,467) = 0.8713403621656034041 C2(421,467) = 1.441476116023249364 C3(421,467) = 4.794175469604093873 C4(421,467) = 3736 Sum = 3666.063167118487188 Averaged sum = 0.3662766677109089008 logp*logq = 37.14001097901273681 -------------- ************************************* p = 421; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15713878058388235.64 -------------- Searches starting with [421,479]-exponents: u = 1, v = 46 n_start has 126 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(421,479) = 0.6590327818148256174 D2(421,479) = 0.02666726560286500693 C1(421,479) = 0.9652670499460382091 C2(421,479) = 1.511314730796035354 C3(421,479) = 5.676647349430399040 C4(421,479) = 3832 Sum = 4394.146646608540493 Averaged sum = 0.4390195470684924061 logp*logq = 37.29332066957236500 -------------- ************************************* p = 421; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17368037274388667.98 -------------- Searches starting with [421,487]-exponents: u = 1, v = 41 n_start has 113 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(421,487) = 0.9853306559499333377 D2(421,487) = 0.01459748123222172868 C1(421,487) = 1.384293328033751535 C2(421,487) = 1.536194114540536601 C3(421,487) = 12.06274715877682817 C4(421,487) = 3896 Sum = 4933.934425981454474 Averaged sum = 0.4929497877891352257 logp*logq = 37.39340797363756669 -------------- ************************************* p = 421; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18248088663539114.88 -------------- Searches starting with [421,491]-exponents: u = 1, v = 39 n_start has 108 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(421,491) = 0.5782493277343902599 D2(421,491) = 0.01282868106731273353 C1(421,491) = 0.7951432693595023994 C2(421,491) = 1.551290798361388145 C3(421,491) = 4.180100849058054602 C4(421,491) = 3928 Sum = 4021.691668792440611 Averaged sum = 0.4018075400931602169 logp*logq = 37.44283673868955625 -------------- ************************************* p = 421; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20120137556508201.40 -------------- Searches starting with [421,499]-exponents: u = 1, v = 35 n_start has 98 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(421,499) = 0.6661471268495867343 D2(421,499) = 0.03555248893954201604 C1(421,499) = 0.9454418876398625469 C2(421,499) = 1.602361246162690936 C3(421,499) = 5.477772344059036868 C4(421,499) = 3992 Sum = 4350.692069674219501 Averaged sum = 0.4346779967703286543 logp*logq = 37.54049757692343545 -------------- ************************************* p = 421; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21114626762522436.46 -------------- Searches starting with [421,503]-exponents: u = 1, v = 33 n_start has 92 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(421,503) = 0.9030000600155285403 D2(421,503) = 0.06994902036714863586 C1(421,503) = 1.359875852270686934 C2(421,503) = 1.647346432631718407 C3(421,503) = 11.54438104148925794 C4(421,503) = 4024 Sum = 4848.123521274110680 Averaged sum = 0.4843764133553912159 logp*logq = 37.58874240672655415 -------------- ************************************* p = 421; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22683065301545192.86 -------------- Searches starting with [421,509]-exponents: u = 1, v = 31 n_start has 87 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(421,509) = 0.9622308369859178980 D2(421,509) = 0.06520670013059141449 C1(421,509) = 1.289853910622209016 C2(421,509) = 1.664549697993620097 C3(421,509) = 10.17812258294404341 C4(421,509) = 4072 Sum = 3918.334541421775329 Averaged sum = 0.3914811211331576910 logp*logq = 37.66039501902682284 -------------- ************************************* p = 421; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26112763210507596.30 -------------- Searches starting with [421,521]-exponents: u = 1, v = 28 n_start has 79 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(421,521) = 0.6917105205367967105 D2(421,521) = 0.08420298151432682383 C1(421,521) = 0.9696175081323208527 C2(421,521) = 1.721251362392767290 C3(421,521) = 5.721245809197155632 C4(421,521) = 4168 Sum = 4393.315679401162561 Averaged sum = 0.4389365250675554562 logp*logq = 37.80120060160882341 -------------- ************************************* p = 421; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26724375391842983.81 -------------- Searches starting with [421,523]-exponents: u = 1, v = 27 n_start has 77 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(421,523) = 0.6635984169136237371 D2(421,523) = 0.03055920335862741143 C1(421,523) = 1.018098679093648945 C2(421,523) = 1.680874048670619929 C3(421,523) = 6.242597995508303121 C4(421,523) = 4184 Sum = 3998.364762325077417 Averaged sum = 0.3994769469802255387 logp*logq = 37.82435247986833484 -------------- ************************************* p = 421; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32787441978759086.92 -------------- Searches starting with [421,541]-exponents: u = 1, v = 24 n_start has 69 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(421,541) = 0.7429763243585144582 D2(421,541) = 0.07495894692003041951 C1(421,541) = 1.158202252772957896 C2(421,541) = 1.773119587361119414 C3(421,541) = 8.031893697172686551 C4(421,541) = 4328 Sum = 3291.330787424172539 Averaged sum = 0.3288371253296205954 logp*logq = 38.02882197048744398 -------------- ************************************* p = 421; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35047102304724301.05 -------------- Searches starting with [421,547]-exponents: u = 1, v = 23 n_start has 66 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(421,547) = 0.7754468171558544277 D2(421,547) = 0.06617581683273070798 C1(421,547) = 1.214384557847626356 C2(421,547) = 1.782154393155035484 C3(421,547) = 8.886055900137825350 C4(421,547) = 4376 Sum = 3051.236330246138653 Averaged sum = 0.3048492686827993459 logp*logq = 38.09546933178463227 -------------- ************************************* p = 421; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39101620727866951.77 -------------- Searches starting with [421,557]-exponents: u = 1, v = 21 n_start has 61 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(421,557) = 0.6015309108920450345 D2(421,557) = 0.1202045397541261964 C1(421,557) = 0.8304221706987799859 C2(421,557) = 1.856207540487580463 C3(421,557) = 4.453972814621286071 C4(421,557) = 4456 Sum = 4105.288657184936049 Averaged sum = 0.4101597219687217553 logp*logq = 38.20494031188353000 -------------- ************************************* p = 421; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41716929556261637.44 -------------- Searches starting with [421,563]-exponents: u = 1, v = 20 n_start has 58 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(421,563) = 0.6555044408575783573 D2(421,563) = 0.07971128555253218009 C1(421,563) = 0.9068495804134014967 C2(421,563) = 1.835926210217764370 C3(421,563) = 5.110397209025899046 C4(421,563) = 4504 Sum = 4256.700466782265286 Averaged sum = 0.4252872881189195010 logp*logq = 38.26968342588863615 -------------- ************************************* p = 421; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44476626735982567.63 -------------- Searches starting with [421,569]-exponents: u = 1, v = 20 n_start has 58 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(421,569) = 0.9509329690859034225 D2(421,569) = 0.03201638088973287774 C1(421,569) = 1.241820902484507618 C2(421,569) = 1.809890298196067638 C3(421,569) = 9.335617133581041237 C4(421,569) = 4552 Sum = 2745.174418637301917 Averaged sum = 0.2742705983252374780 logp*logq = 38.33374020420700702 -------------- ************************************* p = 421; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45429698879449226.57 -------------- Searches starting with [421,571]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(421,571) = 0.6909613771978929196 D2(421,571) = 0.06199413366781312596 C1(421,571) = 0.9483864130700193348 C2(421,571) = 1.840401079857835152 C3(421,571) = 5.506863599134133227 C4(421,571) = 4568 Sum = 4228.626979999806570 Averaged sum = 0.4224824637825763383 logp*logq = 38.35494244642866842 -------------- ************************************* p = 421; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48391783458873841.30 -------------- Searches starting with [421,577]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(421,577) = 0.7582644008305142916 D2(421,577) = 0.003893421916534757024 C1(421,577) = 1.042680242967360524 C2(421,577) = 1.805614468368903559 C3(421,577) = 6.524828941595233602 C4(421,577) = 4616 Sum = 4270.731174954111572 Averaged sum = 0.4266890973078341065 logp*logq = 38.41810643097545209 -------------- ************************************* p = 421; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53686302630607240.00 -------------- Searches starting with [421,587]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(421,587) = 0.5883806081094196436 D2(421,587) = 0.1426133116296575442 C1(421,587) = 0.9479020937149543835 C2(421,587) = 1.438187227734309734 C3(421,587) = 5.502068037589624989 C4(421,587) = 4696 Sum = 4155.703226758903161 Averaged sum = 0.4151966456947650276 logp*logq = 38.52193429183336349 -------------- ************************************* p = 421; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57088855924532109.28 -------------- Searches starting with [421,593]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(421,593) = 0.6123491350881107218 D2(421,593) = 0.06115699196069169734 C1(421,593) = 0.8859942946859672290 C2(421,593) = 1.890727221699735346 C3(421,593) = 4.922230663026474095 C4(421,593) = 4744 Sum = 4080.986696705967263 Averaged sum = 0.4077317111305792051 logp*logq = 38.58338532482849612 -------------- ************************************* p = 421; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60669513179538057.21 -------------- Searches starting with [421,599]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(421,599) = 0.6427393229062740687 D2(421,599) = 0.1273215759779154926 C1(421,599) = 1.042812936569755674 C2(421,599) = 1.380749534300924444 C3(421,599) = 6.526386568499096987 C4(421,599) = 4792 Sum = 3944.332976186667168 Averaged sum = 0.3940786268544976689 logp*logq = 38.64421771276047284 -------------- ************************************* p = 421; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61903916305066779.40 -------------- Searches starting with [421,601]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(421,601) = 1.010285213374877675 D2(421,601) = 0.1160124115513747443 C1(421,601) = 1.639042141601297599 C2(421,601) = 1.234832016371437646 C3(421,601) = 19.07491775268567048 C4(421,601) = 4808 Sum = 4058.303259327352307 Averaged sum = 0.4054654070663754928 logp*logq = 38.66435984085621320 -------------- ************************************* p = 421; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65733592326060701.36 -------------- Searches starting with [421,607]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(421,607) = 0.8464937561790823842 D2(421,607) = 0.06579089780842739069 C1(421,607) = 1.274786096054978809 C2(421,607) = 1.924872232187780019 C3(421,607) = 9.905953967403920990 C4(421,607) = 4856 Sum = 3893.262520781245491 Averaged sum = 0.3889761735219547898 logp*logq = 38.72438648845498202 -------------- ************************************* p = 421; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69758990296355415.27 -------------- Searches starting with [421,613]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(421,613) = 0.7522586055280088077 D2(421,613) = 0.1091657174734240600 C1(421,613) = 1.006474310044225873 C2(421,613) = 1.290702946794127922 C3(421,613) = 6.113418218281287208 C4(421,613) = 4904 Sum = 3822.193847609207764 Averaged sum = 0.3818756966339502211 logp*logq = 38.78382270044386556 -------------- ************************************* p = 421; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72555234070485921.77 -------------- Searches starting with [421,617]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(421,617) = 0.6574745759786997950 D2(421,617) = 0.0008102140212696477426 C1(421,617) = 0.9244005580710119326 C2(421,617) = 1.890978933691480358 C3(421,617) = 5.274313508544351932 C4(421,617) = 4936 Sum = 3970.610599580427898 Averaged sum = 0.3967040263343418821 logp*logq = 38.82312451595956952 -------------- ************************************* p = 421; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73988049297317446.38 -------------- Searches starting with [421,619]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(421,619) = 0.7937086438912356005 D2(421,619) = 0.02146534490161260802 C1(421,619) = 1.158677773068569878 C2(421,619) = 1.912141738240959153 C3(421,619) = 8.038766996527465674 C4(421,619) = 4952 Sum = 3892.727270553998291 Averaged sum = 0.3889226966284342383 logp*logq = 38.84267997909077805 -------------- ************************************* p = 421; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83090111440122320.99 -------------- Searches starting with [421,631]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(421,631) = 0.7833803972856740611 D2(421,631) = 0.1073989039157368594 C1(421,631) = 1.291633149981121522 C2(421,631) = 1.280814752325447640 C3(421,631) = 10.21075052825824303 C4(421,631) = 5048 Sum = 3939.425960857374756 Averaged sum = 0.3935883665558372221 logp*logq = 38.95870209378444116 -------------- ************************************* p = 421; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91371864837241378.57 -------------- Searches starting with [421,641]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(421,641) = 0.8153913371478701291 D2(421,641) = 0.05562842623340570090 C1(421,641) = 1.120192295515908213 C2(421,641) = 1.983495585665080816 C3(421,641) = 7.501076198693990348 C4(421,641) = 5128 Sum = 4136.182570906259929 Averaged sum = 0.4132463353887760944 logp*logq = 39.05371400144525106 -------------- ************************************* p = 421; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93108178153934663.23 -------------- Searches starting with [421,643]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(421,643) = 0.5888059119044607559 D2(421,643) = 0.07702146399321794297 C1(421,643) = 0.8464612844323800281 C2(421,643) = 2.005381959480727920 C3(421,643) = 4.584349691049364075 C4(421,643) = 5144 Sum = 4101.603213236398971 Averaged sum = 0.4097915089655708833 logp*logq = 39.07253841802034681 -------------- ************************************* p = 421; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96663496138081331.92 -------------- Searches starting with [421,647]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(421,647) = 0.8014530626399874625 D2(421,647) = 0.08480211152024910903 C1(421,647) = 1.333881233724616857 C2(421,647) = 1.250550689425184144 C3(421,647) = 11.01699051947089500 C4(421,647) = 5176 Sum = 3743.886619557762700 Averaged sum = 0.3740520151421483365 logp*logq = 39.11001223011363794 -------------- ************************************* p = 421; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102208452568553650.1 -------------- Searches starting with [421,653]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(421,653) = 0.6024523723735037069 D2(421,653) = 0.1170737939184594834 C1(421,653) = 0.8682345137793731217 C2(421,653) = 1.799031451767826324 C3(421,653) = 4.767465459723064112 C4(421,653) = 5224 Sum = 3639.080010467946189 Averaged sum = 0.3635807783462829642 logp*logq = 39.16579077541055565 -------------- ************************************* p = 421; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108016365605572037.0 -------------- Searches starting with [421,659]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(421,659) = 0.8366425620256411961 D2(421,659) = 0.01285545306563630534 C1(421,659) = 1.283584567958218618 C2(421,659) = 1.980619587589552652 C3(421,659) = 10.06398318146964104 C4(421,659) = 5272 Sum = 3469.354782051787261 Averaged sum = 0.3466235170398428675 logp*logq = 39.22105914393980757 -------------- ************************************* p = 421; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110012475349306611.5 -------------- Searches starting with [421,661]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(421,661) = 0.7277767348366789597 D2(421,661) = 0.03037500833296734043 C1(421,661) = 1.033892230359776273 C2(421,661) = 1.998623981662747135 C3(421,661) = 6.422493963036230581 C4(421,661) = 5288 Sum = 4365.933061200240233 Averaged sum = 0.4362007254671036300 logp*logq = 39.23937016653884035 -------------- ************************************* p = 421; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122646929848166451.9 -------------- Searches starting with [421,673]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(421,673) = 0.6438648905533891735 D2(421,673) = 0.1013370827667167039 C1(421,673) = 1.082737433651312838 C2(421,673) = 1.400991498666650055 C3(421,673) = 7.012338263543565888 C4(421,673) = 5384 Sum = 3984.003979596798698 Averaged sum = 0.3980421600156657706 logp*logq = 39.34808613348913447 -------------- ************************************* p = 421; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 127118285888485958.6 -------------- Searches starting with [421,677]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(421,677) = 0.6131495684557488533 D2(421,677) = 0.09924710210921182832 C1(421,677) = 0.8547976956671655215 C2(421,677) = 1.814453232897274187 C3(421,677) = 4.653614037503024768 C4(421,677) = 5416 Sum = 4202.027102837836075 Averaged sum = 0.4198248679026712034 logp*logq = 39.38389443284815417 -------------- ************************************* p = 421; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134079878745783060.1 -------------- Searches starting with [421,683]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(421,683) = 0.8790812719830054757 D2(421,683) = 0.08729311076805380275 C1(421,683) = 1.358876376640454342 C2(421,683) = 1.671221940857288469 C3(421,683) = 11.52364408557145444 C4(421,683) = 5464 Sum = 3440.474145111636295 Averaged sum = 0.3437380502659242976 logp*logq = 39.43721212730173914 -------------- ************************************* p = 421; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 143854442932914137.2 -------------- Searches starting with [421,691]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(421,691) = 0.7272074075495475020 D2(421,691) = 0.04994989699064978612 C1(421,691) = 1.039435913276960318 C2(421,691) = 2.065500051397044962 C3(421,691) = 6.486860747410688051 C4(421,691) = 5528 Sum = 3732.520213382637114 Averaged sum = 0.3729163965813405049 logp*logq = 39.50757837030486100 -------------- ************************************* p = 421; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156902235293075818.9 -------------- Searches starting with [421,701]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(421,701) = 0.6101553685611314594 D2(421,701) = 0.08276846782184646844 C1(421,701) = 0.8540705231305779677 C2(421,701) = 1.834552425671189470 C3(421,701) = 4.647530778480072397 C4(421,701) = 5608 Sum = 4248.337891152047093 Averaged sum = 0.4244517825109448589 logp*logq = 39.59439930115797871 -------------- ************************************* p = 421; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168038400091840174.4 -------------- Searches starting with [421,709]-exponents: u = 1, v = 11 n_start has 34 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(421,709) = 0.6769411371193035831 D2(421,709) = 0.07703857005599273161 C1(421,709) = 0.9708511234827023037 C2(421,709) = 1.830832968000655391 C3(421,709) = 5.733955787802900273 C4(421,709) = 5672 Sum = 3961.902324492450293 Averaged sum = 0.3958339818655660198 logp*logq = 39.66296892017058930 -------------- ************************************* p = 421; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 182878979645572267.2 -------------- Searches starting with [421,719]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(421,719) = 0.6664186755189802577 D2(421,719) = 0.001339378744832574352 C1(421,719) = 0.9355464133585887283 C2(421,719) = 2.069350206387191633 C3(421,719) = 5.381128651060158900 C4(421,719) = 5752 Sum = 4121.768994732938614 Averaged sum = 0.4118062738268496967 logp*logq = 39.74760101557576514 -------------- ************************************* p = 421; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 195524770935730151.4 -------------- Searches starting with [421,727]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(421,727) = 0.7896669461054614807 D2(421,727) = 0.04486317263633399583 C1(421,727) = 1.361417914953795057 C2(421,727) = 1.263773236069570539 C3(421,727) = 11.57644873038552157 C4(421,727) = 5816 Sum = 3926.730876710085524 Averaged sum = 0.3923199996713043785 logp*logq = 39.81446347186324197 -------------- ************************************* p = 421; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 205480847873283070.7 -------------- Searches starting with [421,733]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(421,733) = 0.6620166137030111178 D2(421,733) = 0.06197049361569081753 C1(421,733) = 1.141254674445556440 C2(421,733) = 1.856493838650470847 C3(421,733) = 7.790728316278199897 C4(421,733) = 5864 Sum = 4238.376371107142493 Averaged sum = 0.4234565262371008585 logp*logq = 39.86412922680687999 -------------- ************************************* p = 421; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 215856470516606723.5 -------------- Searches starting with [421,739]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(421,739) = 0.6576113906795815403 D2(421,739) = 0.05802388192740275396 C1(421,739) = 0.9648561188738361900 C2(421,739) = 1.854016794250834919 C3(421,739) = 5.672452726917241528 C4(421,739) = 5912 Sum = 4016.423031557171206 Averaged sum = 0.4012811501206085729 logp*logq = 39.91339009337557509 -------------- ************************************* p = 421; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 223013560358778259.7 -------------- Searches starting with [421,743]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(421,743) = 0.7801075165508713150 D2(421,743) = 0.05543444212344130838 C1(421,743) = 1.069324703327473201 C2(421,743) = 1.852400326702324906 C3(421,743) = 6.845173827316329859 C4(421,743) = 5944 Sum = 4062.853360456208072 Averaged sum = 0.4059200080383862595 logp*logq = 39.94600897330578389 -------------- ************************************* p = 421; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 237922930920633667.7 -------------- Searches starting with [421,751]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(421,751) = 0.5992245625786204156 D2(421,751) = 0.04629817013362137431 C1(421,751) = 0.8317967377760126584 C2(421,751) = 1.700371452644207631 C3(421,751) = 4.464999450312472539 C4(421,751) = 6008 Sum = 4140.561095909769937 Averaged sum = 0.4136837941762183971 logp*logq = 40.01072319648004915 -------------- ************************************* p = 421; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 249642942437159688.4 -------------- Searches starting with [421,757]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(421,757) = 0.7618597011869622684 D2(421,757) = 0.04058259925370433460 C1(421,757) = 1.051758397402030825 C2(421,757) = 1.607731020735687844 C3(421,757) = 6.632255103744033940 C4(421,757) = 6056 Sum = 4214.926711702552043 Averaged sum = 0.4211136688682737579 logp*logq = 40.05880806162858238 -------------- ************************************* p = 421; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 257720837199183442.9 -------------- Searches starting with [421,761]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(421,761) = 0.6603772455620114269 D2(421,761) = 0.03693412214044206826 C1(421,761) = 0.9554896753276369278 C2(421,761) = 1.543092106677622086 C3(421,761) = 5.577679737788829143 C4(421,761) = 6088 Sum = 4199.376791125341730 Averaged sum = 0.4195600750449936787 logp*logq = 40.09065336765941202 -------------- ************************************* p = 421; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 274532178578523729.4 -------------- Searches starting with [421,769]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(421,769) = 0.9544914578767456865 D2(421,769) = 0.02466668771931027206 C1(421,769) = 1.670607697807418053 C2(421,769) = 1.154766561684026435 C3(421,769) = 20.18935821829258919 C4(421,769) = 6152 Sum = 3476.553312282993580 Averaged sum = 0.3473427227777993386 logp*logq = 40.15384487514109266 -------------- ************************************* p = 421; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 283274994325171685.0 -------------- Searches starting with [421,773]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(421,773) = 0.9402812962707062163 D2(421,773) = 0.03604070829353517129 C1(421,773) = 1.260430872430856865 C2(421,773) = 1.270569809740825154 C3(421,773) = 9.653429486166299019 C4(421,773) = 6184 Sum = 4241.008345714159107 Averaged sum = 0.4237194870330861332 logp*logq = 40.18519453214438506 -------------- ************************************* p = 421; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 315727203746859677.9 -------------- Searches starting with [421,787]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(421,787) = 0.8045325018854116349 D2(421,787) = 0.02957195836161372436 C1(421,787) = 1.222113396309657179 C2(421,787) = 1.877333745186943347 C3(421,787) = 9.010461017861084116 C4(421,787) = 6296 Sum = 3825.280479360298801 Averaged sum = 0.3821840822619940854 logp*logq = 40.29365495637535608 -------------- ************************************* p = 421; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 340758986933266970.7 -------------- Searches starting with [421,797]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(421,797) = 0.6555102929123732006 D2(421,797) = 0.02190440179925857393 C1(421,797) = 1.042815047333793188 C2(421,797) = 1.719381260500637843 C3(421,797) = 6.526411348755561386 C4(421,797) = 6376 Sum = 3905.563692858443092 Averaged sum = 0.3902051846196865912 logp*logq = 40.36995183911831320 -------------- ************************************* p = 421; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 372962541266514521.0 -------------- Searches starting with [421,809]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(421,809) = 1.031554397035968033 D2(421,809) = 0.01495302816935580039 C1(421,809) = 1.531237160371385074 C2(421,809) = 1.622455736477033323 C3(421,809) = 15.71240256388953485 C4(421,809) = 6472 Sum = 4979.269910984443637 Averaged sum = 0.4974792597646561732 logp*logq = 40.46025438395257442 -------------- ************************************* p = 421; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 378568895092057902.0 -------------- Searches starting with [421,811]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(421,811) = 0.5777049664142775863 D2(421,811) = 0.01344701019096963013 C1(421,811) = 0.7871017135644900795 C2(421,811) = 1.556654975888065328 C3(421,811) = 4.120068964028320343 C4(421,811) = 6488 Sum = 4139.322030001413074 Averaged sum = 0.4135599990010403711 logp*logq = 40.47517447260358854 -------------- ************************************* p = 421; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 407667086739614379.2 -------------- Searches starting with [421,821]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(421,821) = 0.8383772445436292489 D2(421,821) = 0.007119182033782150190 C1(421,821) = 1.493488438793179641 C2(421,821) = 1.230090725763952081 C3(421,821) = 14.68088737595190000 C4(421,821) = 6568 Sum = 4000.506400475210245 Averaged sum = 0.3996909182211220147 logp*logq = 40.54922727236163170 -------------- ************************************* p = 421; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 413704997900565004.1 -------------- Searches starting with [421,823]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(421,823) = 1.128540891240575947 D2(421,823) = 0.005541300806706492906 C1(421,823) = 2.010248226685165482 C2(421,823) = 1.060555043780333741 C3(421,823) = 37.19277609338065087 C4(421,823) = 6584 Sum = 2269.762851374337818 Averaged sum = 0.2267721901662841261 logp*logq = 40.56392954928299545 -------------- ************************************* p = 421; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 426004890182500743.7 -------------- Searches starting with [421,827]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(421,827) = 0.8209158936984998654 D2(421,827) = 0.007854179463605257731 C1(421,827) = 1.462236902918317167 C2(421,827) = 1.912368276668524228 C3(421,827) = 13.87834847781941829 C4(421,827) = 6616 Sum = 4221.127104501150044 Averaged sum = 0.4217331506145618987 logp*logq = 40.59322722041581394 -------------- ************************************* p = 421; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 432268344872031012.5 -------------- Searches starting with [421,829]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(421,829) = 0.7031896673975890354 D2(421,829) = 0.006790100294763652541 C1(421,829) = 0.9678677329884285956 C2(421,829) = 1.911758363558899005 C3(421,829) = 5.703266125950348385 C4(421,829) = 6632 Sum = 4001.433210557250138 Averaged sum = 0.3997835158914227333 logp*logq = 40.60782295899464033 -------------- ************************************* p = 421; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 464750667685687451.6 -------------- Searches starting with [421,839]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(421,839) = 0.6089070541205074647 D2(421,839) = 0.001547872359804711162 C1(421,839) = 0.9078978057413446573 C2(421,839) = 1.908770339466840137 C3(421,839) = 5.120042410710126099 C4(421,839) = 6712 Sum = 3655.964647225949732 Averaged sum = 0.3652677237712008924 logp*logq = 40.68027745816680097 -------------- ************************************* p = 421; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 513628187662387495.2 -------------- Searches starting with [421,853]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(421,853) = 0.7071633119156562242 D2(421,853) = 0.1432490304163849438 C1(421,853) = 0.9927450141440142264 C2(421,853) = 1.877724268723337040 C3(421,853) = 5.964285457334175660 C4(421,853) = 6824 Sum = 4362.822087269049849 Averaged sum = 0.4358899078098760964 logp*logq = 40.78027602830067114 -------------- ************************************* p = 421; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 528355478678081495.7 -------------- Searches starting with [421,857]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(421,857) = 1.359829578490764347 D2(421,857) = 0.1095097341115880625 C1(421,857) = 2.190591239425258828 C2(421,857) = 1.241914385528905687 C3(421,857) = 51.44548705864952867 C4(421,857) = 6856 Sum = 4027.810410620845490 Averaged sum = 0.4024188640844085813 logp*logq = 40.80854570715454602 -------------- ************************************* p = 421; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 535850235068549770.4 -------------- Searches starting with [421,859]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(421,859) = 0.7607286501699125130 D2(421,859) = 0.1307383061446761125 C1(421,859) = 1.024244990635760946 C2(421,859) = 1.396540596492424761 C3(421,859) = 6.312000552623014144 C4(421,859) = 6872 Sum = 4002.491858717018711 Averaged sum = 0.3998892855147386063 logp*logq = 40.82263110475308819 -------------- ************************************* p = 421; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 551106120467690239.9 -------------- Searches starting with [421,863]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(421,863) = 0.6360464988667466680 D2(421,863) = 0.1302363420874415318 C1(421,863) = 0.8780726135234198557 C2(421,863) = 1.880552275567465564 C3(421,863) = 4.852587069183581452 C4(421,863) = 6904 Sum = 4162.101978333475750 Averaged sum = 0.4158359454824134029 logp*logq = 40.85070378164945541 -------------- ************************************* p = 421; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 607387671280314588.5 -------------- Searches starting with [421,877]-exponents: u = 37, v = 8 n_start has 121 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(421,877) = 0.5878360144315868063 D2(421,877) = 0.05574608162126303622 C1(421,877) = 0.7969680204872413650 C2(421,877) = 1.808997897779388004 C3(421,877) = 4.193844301976958682 C4(421,877) = 7016 Sum = 3929.222213693357141 Averaged sum = 0.3925689093509198862 logp*logq = 40.94794364978639624 -------------- ************************************* p = 421; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 624321251905716279.0 -------------- Searches starting with [421,881]-exponents: u = 46, v = 8 n_start has 145 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(421,881) = 0.7061731761209989495 D2(421,881) = 0.03737867901470799029 C1(421,881) = 0.9814200003737904572 C2(421,881) = 1.791460594342709861 C3(421,881) = 5.844010984264941668 C4(421,881) = 7048 Sum = 4155.400087369672018 Averaged sum = 0.4151663590138547326 logp*logq = 40.97544145757425838 -------------- ************************************* p = 421; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 632934653503814116.3 -------------- Searches starting with [421,883]-exponents: u = 55, v = 8 n_start has 168 digits starting right neighbors generation We generated 1740 left neighbors We generated 8270 right neighbors We generated 10009 non-negative rho_i D1(421,883) = 0.8494774230293124396 D2(421,883) = 0.02856567765857379301 C1(421,883) = 1.145670133862198540 C2(421,883) = 1.783061210674763261 C3(421,883) = 7.852854163859917293 C4(421,883) = 7064 Sum = 3625.188641015831491 Averaged sum = 0.3621928905001330293 logp*logq = 40.98914357871461528 -------------- ************************************* p = 421; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 650459193584992515.2 -------------- Searches starting with [421,887]-exponents: u = 82, v = 8 n_start has 239 digits starting right neighbors generation We generated 3627 left neighbors We generated 6383 right neighbors We generated 10009 non-negative rho_i D1(421,887) = 0.6572307414751581146 D2(421,887) = 0.01160008101545969776 C1(421,887) = 0.9255148685350013393 C2(421,887) = 1.766920007339663709 C3(421,887) = 5.284896293680586918 C4(421,887) = 7096 Sum = 3922.327700644522702 Averaged sum = 0.3918800779942574385 logp*logq = 41.01645496005006848 -------------- ************************************* p = 421; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 744277520129991201.5 -------------- Searches starting with [421,907]-exponents: u = 9, v = 55 n_start has 187 digits starting right neighbors generation We generated 1246 left neighbors We generated 8764 right neighbors We generated 10009 non-negative rho_i D1(421,907) = 0.7280732440068111005 D2(421,907) = 0.007746403821793552763 C1(421,907) = 1.035318258525635115 C2(421,907) = 1.482039363252409780 C3(421,907) = 6.438990069258563526 C4(421,907) = 7256 Sum = 4512.610740036592654 Averaged sum = 0.4508553042298523983 logp*logq = 41.15119037111990373 -------------- ************************************* p = 421; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 764333538495414062.8 -------------- Searches starting with [421,911]-exponents: u = 9, v = 39 n_start has 140 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(421,911) = 0.6445841003056867696 D2(421,911) = 0.01935548703197871771 C1(421,911) = 0.9366290103563925781 C2(421,911) = 1.572480753629685485 C3(421,911) = 5.391618171431716200 C4(421,911) = 7288 Sum = 4134.109060250930921 Averaged sum = 0.4130391707713988332 logp*logq = 41.17778065752008733 -------------- ************************************* p = 421; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 805800635686105556.7 -------------- Searches starting with [421,919]-exponents: u = 9, v = 23 n_start has 92 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(421,919) = 0.6538839060532946219 D2(421,919) = 0.04634880960037774749 C1(421,919) = 0.9847185768902590871 C2(421,919) = 1.729432769183555088 C3(421,919) = 5.878790151795904403 C4(421,919) = 7352 Sum = 3702.888265202822900 Averaged sum = 0.3699558662406656909 logp*logq = 41.23061275655581353 -------------- ************************************* p = 421; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 860258959140851152.9 -------------- Searches starting with [421,929]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(421,929) = 0.6597489286200445370 D2(421,929) = 0.08589903054249776100 C1(421,929) = 0.9203582226351977252 C2(421,929) = 1.879390714326583390 C3(421,929) = 5.236100366448841936 C4(421,929) = 7432 Sum = 4204.882030882550354 Averaged sum = 0.4201101039946598415 logp*logq = 41.29600985411219091 -------------- ************************************* p = 421; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 906006315557526569.9 -------------- Searches starting with [421,937]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(421,937) = 0.6374253693808043484 D2(421,937) = 0.1179968251545120456 C1(421,937) = 0.9013934856264795369 C2(421,937) = 1.912912882151188656 C3(421,937) = 5.060485829150623118 C4(421,937) = 7496 Sum = 3792.613457768887723 Averaged sum = 0.3789203174911467402 logp*logq = 41.34782267174341557 -------------- ************************************* p = 421; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 929630346921635210.6 -------------- Searches starting with [421,941]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(421,941) = 1.096589952864774338 D2(421,941) = 0.09604926021533085028 C1(421,941) = 1.436390780966779440 C2(421,941) = 1.263237002374799601 C3(421,941) = 13.24787191018154565 C4(421,941) = 7528 Sum = 3390.212394498570659 Averaged sum = 0.3387163946946318972 logp*logq = 41.37356342561494375 -------------- ************************************* p = 421; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 966028874566322568.5 -------------- Searches starting with [421,947]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(421,947) = 0.8164584165948515808 D2(421,947) = 0.1188367206788398286 C1(421,947) = 1.140483936735425090 C2(421,947) = 1.932290226399576330 C3(421,947) = 7.779934472343369729 C4(421,947) = 7576 Sum = 4519.104213821045010 Averaged sum = 0.4515040677211554611 logp*logq = 41.41197011953188693 -------------- ************************************* p = 421; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.003609066397692496 E18 -------------- Searches starting with [421,953]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(421,953) = 0.7551111732358963502 D2(421,953) = 0.09136344818186707019 C1(421,953) = 1.118525862892129302 C2(421,953) = 1.905997846945296692 C3(421,953) = 7.478624300693511654 C4(421,953) = 7624 Sum = 3947.248001129403864 Averaged sum = 0.3943698672324311983 logp*logq = 41.45013424323788711 -------------- ************************************* p = 421; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.096064305803811736 E18 -------------- Searches starting with [421,967]-exponents: u = 25, v = 7 n_start has 87 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(421,967) = 1.020493653596805164 D2(421,967) = 0.03533288251873848843 C1(421,967) = 1.401322987252798602 C2(421,967) = 1.852693638303278702 C3(421,967) = 12.43799107805658694 C4(421,967) = 7736 Sum = 4291.208010209627097 Averaged sum = 0.4287349395753448993 logp*logq = 41.53825753387610283 -------------- ************************************* p = 421; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.123748176590368037 E18 -------------- Searches starting with [421,971]-exponents: u = 33, v = 7 n_start has 108 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(421,971) = 1.071249996842068918 D2(421,971) = 0.02092978343120727267 C1(421,971) = 1.483635559443024405 C2(421,971) = 1.839062150310912331 C3(421,971) = 14.42297927456972898 C4(421,971) = 7768 Sum = 4560.101270472645000 Averaged sum = 0.4556000869689924068 logp*logq = 41.56320135808373548 -------------- ************************************* p = 421; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.166366560394066963 E18 -------------- Searches starting with [421,977]-exponents: u = 41, v = 7 n_start has 129 digits starting right neighbors generation We generated 987 left neighbors We generated 9023 right neighbors We generated 10009 non-negative rho_i D1(421,977) = 0.5904534759532315828 D2(421,977) = 0.0003855834901969408078 C1(421,977) = 0.8057015452500147058 C2(421,977) = 1.819669345005180677 C3(421,977) = 4.260250749273788343 C4(421,977) = 7816 Sum = 4115.197414635392750 Averaged sum = 0.4111497067274845389 logp*logq = 41.60042508668181127 -------------- ************************************* p = 421; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.210325388508250978 E18 -------------- Searches starting with [421,983]-exponents: u = 57, v = 7 n_start has 171 digits starting right neighbors generation We generated 1661 left neighbors We generated 8349 right neighbors We generated 10009 non-negative rho_i D1(421,983) = 0.8447734964135550767 D2(421,983) = 0.02318558583795387970 C1(421,983) = 1.208807316990136735 C2(421,983) = 1.739049442820879857 C3(421,983) = 8.797351694483599151 C4(421,983) = 7864 Sum = 4796.751914291552589 Averaged sum = 0.4792438719444052941 logp*logq = 41.63742091347253402 -------------- ************************************* p = 421; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.271080443174826220 E18 -------------- Searches starting with [421,991]-exponents: u = 137, v = 7 n_start has 381 digits --- performed 5000 steps in the continued fraction search [421,991]-exponents: u = 45, v = 43 --- starting right neighbors generation We generated 8643 left neighbors We generated 1367 right neighbors We generated 10009 non-negative rho_i D1(421,991) = 0.7868425759101385653 D2(421,991) = 0.01347277763147597761 C1(421,991) = 1.074527381252001601 C2(421,991) = 1.603711406134920641 C3(421,991) = 6.909537042944384369 C4(421,991) = 7928 Sum = 4449.635225362672531 Averaged sum = 0.4445634154623511371 logp*logq = 41.68639895534424569 -------------- ************************************* p = 421; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.318298693948311209 E18 -------------- Searches starting with [421,997]-exponents: u = 881, v = 7 n_start has 2333 digits --- performed 5000 steps in the continued fraction search [421,997]-exponents: u = 598, v = 249 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(421,997) = 0.6651577540659201194 D2(421,997) = 0.4613760865411093721 C1(421,997) = 0.8416069627776298415 C2(421,997) = 1.508794710408420413 C3(421,997) = 4.544492746911250392 C4(421,997) = 7976 Sum = 5650.470459729318172 Averaged sum = 0.5651035563285646737 logp*logq = 41.72287371096510807 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(421,997) = 0.6651577540659201194 D2(421,997) = 0.4613760865411093721 C1(421,997) = 0.8416069627776298415 C2(421,997) = 1.508794710408420413 C3(421,997) = 4.544492746911250392 C4(421,997) = 7976 Sum = 5650.470459729318172 Averaged sum = 0.5651035563285646737 logp*logq = 41.72287371096510807 -------------- ************************************* p = 431; q = 433; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9845109651583893.615 -------------- Searches starting with [431,433]-exponents: u = 1, v = 1310 n_start has 3457 digits --- performed 5000 steps in the continued fraction search [431,433]-exponents: u = 1073, v = 235 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(431,433) = 0.7413598358330805745 D2(431,433) = 0.3925528359314052597 C1(431,433) = 0.9275343444901066399 C2(431,433) = 1.300481674306912627 C3(431,433) = 5.323240010382831767 C4(431,433) = 3464 Sum = 5982.584507021881817 Averaged sum = 0.5983182825304412258 logp*logq = 36.82575124473394881 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(431,433) = 0.7413598358330805745 D2(431,433) = 0.3925528359314052597 C1(431,433) = 0.9275343444901066399 C2(431,433) = 1.300481674306912627 C3(431,433) = 5.323240010382831767 C4(431,433) = 3464 Sum = 5982.584507021881817 Averaged sum = 0.5983182825304412258 logp*logq = 36.82575124473394881 -------------- ************************************* p = 431; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 10702257697491663.61 -------------- Searches starting with [431,439]-exponents: u = 1, v = 329 n_start has 873 digits --- performed 5000 steps in the continued fraction search [431,439]-exponents: u = 170, v = 145 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(431,439) = 0.5483058879986274910 D2(431,439) = 0.03601021275153783041 C1(431,439) = 0.7187535489631598590 C2(431,439) = 1.123638303246965722 C3(431,439) = 3.653586929622439613 C4(431,439) = 3512 Sum = 5264.782489267995212 Averaged sum = 0.5265309020170012213 logp*logq = 36.90923111388680206 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(431,439) = 0.5483058879986274910 D2(431,439) = 0.03601021275153783041 C1(431,439) = 0.7187535489631598590 C2(431,439) = 1.123638303246965722 C3(431,439) = 3.653586929622439613 C4(431,439) = 3512 Sum = 5264.782489267995212 Averaged sum = 0.5265309020170012213 logp*logq = 36.90923111388680206 -------------- ************************************* p = 431; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11307616042704751.07 -------------- Searches starting with [431,443]-exponents: u = 1, v = 220 n_start has 585 digits --- performed 5000 steps in the continued fraction search [431,443]-exponents: u = 193, v = 5 --- starting right neighbors generation We generated 5446 left neighbors We generated 4564 right neighbors We generated 10009 non-negative rho_i D1(431,443) = 0.8096187136473670099 D2(431,443) = 0.002702531995707022790 C1(431,443) = 1.079765068896012077 C2(431,443) = 1.156211217810568020 C3(431,443) = 7.004207864945232584 C4(431,443) = 3544 Sum = 5043.833014197990637 Averaged sum = 0.5039297646316305961 logp*logq = 36.96425287968243134 -------------- ************************************* p = 431; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12269107907094001.46 -------------- Searches starting with [431,449]-exponents: u = 1, v = 148 n_start has 396 digits starting right neighbors generation We generated 2546 left neighbors We generated 7464 right neighbors We generated 10009 non-negative rho_i D1(431,449) = 0.6655935138496757463 D2(431,449) = 0.008424577975657513936 C1(431,449) = 0.9053802070781552017 C2(431,449) = 1.231701509027005105 C3(431,449) = 5.114831708482494284 C4(431,449) = 3592 Sum = 4606.204343656421717 Averaged sum = 0.4602062487417745746 logp*logq = 37.04586094578204072 -------------- ************************************* p = 431; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13656492805105594.16 -------------- Searches starting with [431,457]-exponents: u = 1, v = 103 n_start has 277 digits starting right neighbors generation We generated 1286 left neighbors We generated 8724 right neighbors We generated 10009 non-negative rho_i D1(431,457) = 0.5649148602045403177 D2(431,457) = 0.005082415283689138110 C1(431,457) = 0.7837353215509510877 C2(431,457) = 1.300310573047252621 C3(431,457) = 4.107658534131101050 C4(431,457) = 3656 Sum = 4646.208139122811491 Averaged sum = 0.4642030311842153552 logp*logq = 37.15299146682738981 -------------- ************************************* p = 431; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14397852932245744.07 -------------- Searches starting with [431,461]-exponents: u = 1, v = 90 n_start has 243 digits starting right neighbors generation We generated 1037 left neighbors We generated 8973 right neighbors We generated 10009 non-negative rho_i D1(431,461) = 0.7284208357215992301 D2(431,461) = 0.003321051527865375990 C1(431,461) = 1.019527678674735834 C2(431,461) = 1.328875778897593917 C3(431,461) = 6.283455769435645928 C4(431,461) = 3688 Sum = 4022.455959807096994 Averaged sum = 0.4018839004702864416 logp*logq = 37.20585548844846390 -------------- ************************************* p = 431; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14780952264845365.41 -------------- Searches starting with [431,463]-exponents: u = 1, v = 84 n_start has 227 digits starting right neighbors generation We generated 814 left neighbors We generated 9196 right neighbors We generated 10009 non-negative rho_i D1(431,463) = 0.6119086926163113251 D2(431,463) = 0.02366804516965141298 C1(431,463) = 0.8595540307202938948 C2(431,463) = 1.360839312627101070 C3(431,463) = 4.709269778871234112 C4(431,463) = 3704 Sum = 4627.428484690974991 Averaged sum = 0.4623267543901463673 logp*logq = 37.23211573764114768 -------------- ************************************* p = 431; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15572728938141337.50 -------------- Searches starting with [431,467]-exponents: u = 1, v = 75 n_start has 203 digits starting right neighbors generation We generated 724 left neighbors We generated 9286 right neighbors We generated 10009 non-negative rho_i D1(431,467) = 0.5800290806324009338 D2(431,467) = 0.0006175668566222014742 C1(431,467) = 0.7878902346231416059 C2(431,467) = 1.366900382244384182 C3(431,467) = 4.138540956768797979 C4(431,467) = 3736 Sum = 4522.924278860354098 Averaged sum = 0.4518857307283798679 logp*logq = 37.28429763438666059 -------------- ************************************* p = 431; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18163726007319258.65 -------------- Searches starting with [431,479]-exponents: u = 1, v = 57 n_start has 156 digits starting right neighbors generation We generated 443 left neighbors We generated 9567 right neighbors We generated 10009 non-negative rho_i D1(431,479) = 0.6872155764294464452 D2(431,479) = 0.004288401083351244643 C1(431,479) = 0.9473604968000480180 C2(431,479) = 1.438820557699432619 C3(431,479) = 5.516938510771036302 C4(431,479) = 3832 Sum = 4248.900389414943820 Averaged sum = 0.4245079817579122610 logp*logq = 37.43820292365248624 -------------- ************************************* p = 431; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20083582009050605.74 -------------- Searches starting with [431,487]-exponents: u = 1, v = 49 n_start has 135 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(431,487) = 0.5504343577641739110 D2(431,487) = 0.0006800112652134270523 C1(431,487) = 0.8028050355047355741 C2(431,487) = 1.475253817464815759 C3(431,487) = 4.251324019086964530 C4(431,487) = 3896 Sum = 4389.137240796109299 Averaged sum = 0.4385190569283753920 logp*logq = 37.53867906073007238 -------------- ************************************* p = 431; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21105284483494710.89 -------------- Searches starting with [431,491]-exponents: u = 1, v = 46 n_start has 127 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(431,491) = 0.7091223068645147006 D2(431,491) = 0.03842400502073474319 C1(431,491) = 0.9898396760454476311 C2(431,491) = 1.526452339270848620 C3(431,491) = 5.956011448979423856 C4(431,491) = 3928 Sum = 4489.269579413337532 Averaged sum = 0.4485232869830490090 logp*logq = 37.58829985349020251 -------------- ************************************* p = 431; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23279280200331025.34 -------------- Searches starting with [431,499]-exponents: u = 1, v = 41 n_start has 114 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(431,499) = 0.5754595821245593626 D2(431,499) = 0.01789357936977227289 C1(431,499) = 0.8089667477533595708 C2(431,499) = 1.542868311376317911 C3(431,499) = 4.298810227557882305 C4(431,499) = 3992 Sum = 4159.646000660177865 Averaged sum = 0.4155905685543188995 logp*logq = 37.68634009806614614 -------------- ************************************* p = 431; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24434497387703680.29 -------------- Searches starting with [431,503]-exponents: u = 1, v = 39 n_start has 108 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(431,503) = 0.6577265762974045249 D2(431,503) = 0.01282027839685958642 C1(431,503) = 0.8910671083090318792 C2(431,503) = 1.554656343330152450 C3(431,503) = 4.984544512159718071 C4(431,503) = 4024 Sum = 4016.575694419169026 Averaged sum = 0.4012964026795053477 logp*logq = 37.73477235606187658 -------------- ************************************* p = 431; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26256850841822526.14 -------------- Searches starting with [431,509]-exponents: u = 1, v = 36 n_start has 101 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(431,509) = 0.7420900635727940509 D2(431,509) = 0.04652949995686945303 C1(431,509) = 1.051941187012372075 C2(431,509) = 1.607073560512100925 C3(431,509) = 6.661552068976855906 C4(431,509) = 4072 Sum = 4395.291457643158247 Averaged sum = 0.4391339252316073780 logp*logq = 37.80670333434818260 -------------- ************************************* p = 431; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30243447306240631.90 -------------- Searches starting with [431,521]-exponents: u = 1, v = 31 n_start has 87 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(431,521) = 1.135421330240665575 D2(431,521) = 0.05224424175114970804 C1(431,521) = 1.720817917324427771 C2(431,521) = 1.654920096973219224 C3(431,521) = 22.24568608537879182 C4(431,521) = 4168 Sum = 5611.082608709619252 Averaged sum = 0.5606037175251892548 logp*logq = 37.94805593794695707 -------------- ************************************* p = 431; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30954592261747932.93 -------------- Searches starting with [431,523]-exponents: u = 1, v = 31 n_start has 87 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(431,523) = 0.6948654987507910901 D2(431,523) = 0.01754447570597531091 C1(431,523) = 0.9686864058147989857 C2(431,523) = 1.631657906826804262 C3(431,523) = 5.733164645396816585 C4(431,523) = 4184 Sum = 4350.201457050266926 Averaged sum = 0.4346289796233656635 logp*logq = 37.97129775982769082 -------------- ************************************* p = 431; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38007564545987489.42 -------------- Searches starting with [431,541]-exponents: u = 1, v = 26 n_start has 74 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(431,541) = 0.6917274531317625739 D2(431,541) = 0.03436729947985930687 C1(431,541) = 0.9739273862434875754 C2(431,541) = 1.703079494062362432 C3(431,541) = 5.787588310415084661 C4(431,541) = 4328 Sum = 4222.652494813792854 Averaged sum = 0.4218855524841435562 logp*logq = 38.17656160182553575 -------------- ************************************* p = 431; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40637508268763106.81 -------------- Searches starting with [431,547]-exponents: u = 1, v = 25 n_start has 72 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(431,547) = 0.6502189273028810255 D2(431,547) = 0.04642983150611198315 C1(431,547) = 0.9454518441307011855 C2(431,547) = 1.731041425359284086 C3(431,547) = 5.497988663274496196 C4(431,547) = 4376 Sum = 3926.679555434897004 Averaged sum = 0.3923148721585470080 logp*logq = 38.24346788401686440 -------------- ************************************* p = 431; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45358053998018355.01 -------------- Searches starting with [431,557]-exponents: u = 1, v = 23 n_start has 66 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(431,557) = 0.7511076075146223778 D2(431,557) = 0.005203948784221789011 C1(431,557) = 1.065701972356688911 C2(431,557) = 1.723881120202293824 C3(431,557) = 6.828870630091788475 C4(431,557) = 4456 Sum = 4504.541734563825164 Averaged sum = 0.4500491292400664566 logp*logq = 38.35336415213164077 -------------- ************************************* p = 431; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48403997061922784.21 -------------- Searches starting with [431,563]-exponents: u = 1, v = 22 n_start has 64 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(431,563) = 0.5720117526521764709 D2(431,563) = 0.1124591640282679790 C1(431,563) = 0.8139235763091228501 C2(431,563) = 1.832732203195864484 C3(431,563) = 4.337395502682128473 C4(431,563) = 4504 Sum = 3967.542394919397540 Averaged sum = 0.3963974817583572325 logp*logq = 38.41835878914743123 -------------- ************************************* p = 431; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51618907469278331.62 -------------- Searches starting with [431,569]-exponents: u = 1, v = 21 n_start has 61 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(431,569) = 0.7090634133590539386 D2(431,569) = 0.08380291421199795826 C1(431,569) = 0.9688700058522700130 C2(431,569) = 1.823000578915774075 C3(431,569) = 5.735062516275279357 C4(431,569) = 4552 Sum = 4120.221798855535392 Averaged sum = 0.4116516933615281638 logp*logq = 38.48266442410461165 -------------- ************************************* p = 431; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52729371845936487.46 -------------- Searches starting with [431,571]-exponents: u = 1, v = 21 n_start has 61 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(431,571) = 0.6602567948995447221 D2(431,571) = 0.1221284828013864264 C1(431,571) = 0.8953647368504710090 C2(431,571) = 1.861851997190585921 C3(431,571) = 5.023311796327357716 C4(431,571) = 4568 Sum = 3859.093468221082794 Averaged sum = 0.3855623407154643615 logp*logq = 38.50394903573155728 -------------- ************************************* p = 431; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56181190572520558.13 -------------- Searches starting with [431,577]-exponents: u = 1, v = 20 n_start has 58 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(431,577) = 0.7112717453096762348 D2(431,577) = 0.07820252413697568813 C1(431,577) = 0.9845880418902038675 C2(431,577) = 1.838122941503725477 C3(431,577) = 5.899890702336106615 C4(431,577) = 4616 Sum = 4291.197454789409279 Averaged sum = 0.4287338849824567168 logp*logq = 38.56735840846833087 -------------- ************************************* p = 431; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62353090587441965.85 -------------- Searches starting with [431,587]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(431,587) = 0.6020631892290399014 D2(431,587) = 0.08825309005016663012 C1(431,587) = 0.8650421916987390819 C2(431,587) = 1.870857906864245691 C3(431,587) = 4.756092662972686570 C4(431,587) = 4696 Sum = 4146.360557988761137 Averaged sum = 0.4142632189018644357 logp*logq = 38.67158963417140300 -------------- ************************************* p = 431; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66320762346647955.67 -------------- Searches starting with [431,593]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(431,593) = 1.180050469062087616 D2(431,593) = 0.02257433903446651481 C1(431,593) = 1.890166533067996188 C2(431,593) = 1.828480736426930229 C3(431,593) = 30.18773672396344126 C4(431,593) = 4744 Sum = 1713.392394626730433 Averaged sum = 0.1711851728071466114 logp*logq = 38.73327940064524005 -------------- ************************************* p = 431; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70497110541211651.28 -------------- Searches starting with [431,599]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(431,599) = 0.9287425715685018915 D2(431,599) = 0.1086652918870147000 C1(431,599) = 1.269548323333367691 C2(431,599) = 1.916112000053399793 C3(431,599) = 9.861483704251679032 C4(431,599) = 4792 Sum = 4142.734110829549679 Averaged sum = 0.4139009002727095293 logp*logq = 38.79434811865795029 -------------- ************************************* p = 431; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71937098322846366.90 -------------- Searches starting with [431,601]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(431,601) = 0.8042074795434785257 D2(431,601) = 0.1425064702937379494 C1(431,601) = 1.137960614768851474 C2(431,601) = 1.950463171250286289 C3(431,601) = 7.778948736064616095 C4(431,601) = 4808 Sum = 4099.110324973214114 Averaged sum = 0.4095424442974537031 logp*logq = 38.81456849768088316 -------------- ************************************* p = 431; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76405291190775882.13 -------------- Searches starting with [431,607]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(431,607) = 0.8917329278183147859 D2(431,607) = 0.04839206135618713500 C1(431,607) = 1.221472070640732661 C2(431,607) = 1.881560501707866541 C3(431,607) = 9.042798955075962120 C4(431,607) = 4856 Sum = 4216.062282192998427 Averaged sum = 0.4212271238078727572 logp*logq = 38.87482834510881277 -------------- ************************************* p = 431; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81102928337770051.21 -------------- Searches starting with [431,613]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(431,613) = 0.5360270102711570729 D2(431,613) = 0.1341353881886165892 C1(431,613) = 0.8704280426495304234 C2(431,613) = 1.968820459617750770 C3(431,613) = 4.802495258296600489 C4(431,613) = 4904 Sum = 4170.890388321821016 Averaged sum = 0.4167139962355700885 logp*logq = 38.93449546312087486 -------------- ************************************* p = 431; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84366767061017083.20 -------------- Searches starting with [431,617]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(431,617) = 0.8544304965101906030 D2(431,617) = 0.003716597594030094026 C1(431,617) = 1.145976432531556325 C2(431,617) = 1.865338534590905311 C3(431,617) = 7.892172598183125390 C4(431,617) = 4936 Sum = 4044.184379039111092 Averaged sum = 0.4040547885941763504 logp*logq = 38.97394996376944236 -------------- ************************************* p = 431; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86039371855259302.34 -------------- Searches starting with [431,619]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(431,619) = 0.7484445314671107189 D2(431,619) = 0.02570510815139196095 C1(431,619) = 1.064968806297004557 C2(431,619) = 1.887830198900016082 C3(431,619) = 6.819850934585253273 C4(431,619) = 4952 Sum = 4019.610027776821643 Averaged sum = 0.4015995631708284187 logp*logq = 38.99358139867058614 -------------- ************************************* p = 431; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96667558218887701.98 -------------- Searches starting with [431,631]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(431,631) = 0.7318855049274927326 D2(431,631) = 0.1232856876109187556 C1(431,631) = 1.197569676403309482 C2(431,631) = 1.323273496460918897 C3(431,631) = 8.661426981996153226 C4(431,631) = 5048 Sum = 4018.361841174719773 Averaged sum = 0.4014748567464002171 logp*logq = 39.11005425213457481 -------------- ************************************* p = 431; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 106341847377754361.0 -------------- Searches starting with [431,641]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(431,641) = 0.7410898603950546804 D2(431,641) = 0.09089845901126284155 C1(431,641) = 1.023167453526524937 C2(431,641) = 1.987052989218891579 C3(431,641) = 6.324820126553727947 C4(431,641) = 5128 Sum = 4247.362418122407280 Averaged sum = 0.4243543229216112779 logp*logq = 39.20543527520530803 -------------- ************************************* p = 431; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108370556008222205.1 -------------- Searches starting with [431,643]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(431,643) = 0.7847238253109551840 D2(431,643) = 0.1089634868022502273 C1(431,643) = 1.093953231463257500 C2(431,643) = 1.421335927017058687 C3(431,643) = 7.185666925268868161 C4(431,643) = 5144 Sum = 4039.399636927947571 Averaged sum = 0.4035767446226343861 logp*logq = 39.22433282347949026 -------------- ************************************* p = 431; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112525045565347712.6 -------------- Searches starting with [431,647]-exponents: u = 1, v = 14 n_start has 42 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(431,647) = 0.7826973348412218201 D2(431,647) = 0.1066587443274700720 C1(431,647) = 1.291601507537554515 C2(431,647) = 1.282893085847462431 C3(431,647) = 10.26143085425739424 C4(431,647) = 5176 Sum = 3932.784389857873184 Averaged sum = 0.3929248066597935042 logp*logq = 39.26195221902492704 -------------- ************************************* p = 431; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119005661263702507.9 -------------- Searches starting with [431,653]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(431,653) = 1.078718878921088469 D2(431,653) = 0.01287527324433612000 C1(431,653) = 1.525071024909382499 C2(431,653) = 1.943679563184674991 C3(431,653) = 15.63124523341709983 C4(431,653) = 5224 Sum = 5013.639952843374153 Averaged sum = 0.5009131734282519884 logp*logq = 39.31794746053518360 -------------- ************************************* p = 431; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125795069251837784.7 -------------- Searches starting with [431,659]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(431,659) = 1.036935210020415703 D2(431,659) = 0.07203318682329820205 C1(431,659) = 1.436971629256390448 C2(431,659) = 2.004285779938404762 C3(431,659) = 13.33581819056019425 C4(431,659) = 5272 Sum = 4592.797871930973402 Averaged sum = 0.4588668070667372767 logp*logq = 39.37343054327245138 -------------- ************************************* p = 431; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128128838459973274.9 -------------- Searches starting with [431,661]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(431,661) = 0.6111647104232473933 D2(431,661) = 0.09373249864054697313 C1(431,661) = 0.8264366048742370314 C2(431,661) = 2.026464918487378193 C3(431,661) = 4.436347956026872431 C4(431,661) = 5288 Sum = 3775.688316378738914 Averaged sum = 0.3772293252451532534 logp*logq = 39.39181270306659117 -------------- ************************************* p = 431; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 142904222043823328.4 -------------- Searches starting with [431,673]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(431,673) = 0.5892886033538264543 D2(431,673) = 0.1133004479108134603 C1(431,673) = 0.8368928392094159855 C2(431,673) = 1.799778793662905845 C3(431,673) = 4.520764602256915420 C4(431,673) = 5384 Sum = 4144.179493969161511 Averaged sum = 0.4140453086191589080 logp*logq = 39.50095102485317934 -------------- ************************************* p = 431; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148134707015934937.2 -------------- Searches starting with [431,677]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(431,677) = 0.6448806265627269689 D2(431,677) = 0.02151500999884671163 C1(431,677) = 0.8967795563274896195 C2(431,677) = 1.993590499439857236 C3(431,677) = 5.036140203343238095 C4(431,677) = 5416 Sum = 4040.287081518360035 Averaged sum = 0.4036654092834808707 logp*logq = 39.53689843724994317 -------------- ************************************* p = 431; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 156279625329360122.1 -------------- Searches starting with [431,683]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(431,683) = 0.5817132414748962446 D2(431,683) = 0.07580154362068107551 C1(431,683) = 0.8177606752154566799 C2(431,683) = 2.049288618191852177 C3(431,683) = 4.367502160430120143 C4(431,683) = 5464 Sum = 4204.109223321077791 Averaged sum = 0.4200328927286519923 logp*logq = 39.59042326766289294 -------------- ************************************* p = 431; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167718417061632972.3 -------------- Searches starting with [431,691]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(431,691) = 0.6110611840813290313 D2(431,691) = 0.1007665709407804034 C1(431,691) = 0.8518568385286951587 C2(431,691) = 1.818848615093803371 C3(431,691) = 4.644375876739047956 C4(431,691) = 5528 Sum = 4233.316991855751377 Averaged sum = 0.4229510432466531498 logp*logq = 39.66106287918655419 -------------- ************************************* p = 431; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 182992415952194164.5 -------------- Searches starting with [431,701]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(431,701) = 0.7001127376726116541 D2(431,701) = 0.08601608808496962345 C1(431,701) = 1.083051986530476880 C2(431,701) = 1.673590474031461941 C3(431,701) = 7.045833682151269505 C4(431,701) = 5608 Sum = 3505.183059771000060 Averaged sum = 0.3502031231662503807 logp*logq = 39.74822110400914126 -------------- ************************************* p = 431; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 196032549997509012.7 -------------- Searches starting with [431,709]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(431,709) = 0.5714414534498816906 D2(431,709) = 0.05051622859184217375 C1(431,709) = 0.8173202707806383730 C2(431,709) = 2.070226643402622247 C3(431,709) = 4.364036068843536207 C4(431,709) = 5672 Sum = 3842.294369004234354 Averaged sum = 0.3838839413532055504 logp*logq = 39.81705711176873376 -------------- ************************************* p = 431; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 213415635083474801.9 -------------- Searches starting with [431,719]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(431,719) = 0.6909438077009732611 D2(431,719) = 0.08175132344084524802 C1(431,719) = 0.9677502499856929891 C2(431,719) = 1.837301776811545791 C3(431,719) = 5.723497377414029575 C4(431,719) = 5752 Sum = 4358.139434530361865 Averaged sum = 0.4354220635957999665 logp*logq = 39.90201799765246385 -------------- ************************************* p = 431; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 228232264769113929.1 -------------- Searches starting with [431,727]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(431,727) = 0.8321445672585092679 D2(431,727) = 0.07618295708221553419 C1(431,727) = 1.194220181239648007 C2(431,727) = 1.833692754583602214 C3(431,727) = 8.609285196861918900 C4(431,727) = 5816 Sum = 4521.664284903716559 Averaged sum = 0.4517598446302044719 logp*logq = 39.96914021046487162 -------------- ************************************* p = 431; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239900083737457469.7 -------------- Searches starting with [431,733]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(431,733) = 0.6204459291885731522 D2(431,733) = 0.06642657769976108997 C1(431,733) = 0.8708963495612022182 C2(431,733) = 1.686855779291994653 C3(431,733) = 4.806551356445619418 C4(431,733) = 5864 Sum = 4200.973495502786201 Averaged sum = 0.4197196019085609153 logp*logq = 40.01899891380778415 -------------- ************************************* p = 431; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 252061917298990286.4 -------------- Searches starting with [431,739]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(431,739) = 1.233441474767966307 D2(431,739) = 0.009125581175260951450 C1(431,739) = 1.804780266587351527 C2(431,739) = 2.081629649867756623 C3(431,739) = 25.88098371510936437 C4(431,739) = 5912 Sum = 5786.781182852955485 Averaged sum = 0.5781577762866375747 logp*logq = 40.06845115580935230 -------------- ************************************* p = 431; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 260452463602304951.8 -------------- Searches starting with [431,743]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(431,743) = 0.6701358887996068433 D2(431,743) = 0.03616455760160819839 C1(431,743) = 0.9420603416030746236 C2(431,743) = 2.109552624586133073 C3(431,743) = 5.464476948590667452 C4(431,743) = 5944 Sum = 3787.020847860943331 Averaged sum = 0.3783615593826499481 logp*logq = 40.10119675807924573 -------------- ************************************* p = 431; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 277934645275099929.6 -------------- Searches starting with [431,751]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(431,751) = 0.7335079201776160630 D2(431,751) = 0.05786075709446331518 C1(431,751) = 1.265643549810389150 C2(431,751) = 1.317374433957255699 C3(431,751) = 9.792310471316487550 C4(431,751) = 6008 Sum = 4088.343892461156433 Averaged sum = 0.4084667691538771538 logp*logq = 40.16616239202509673 -------------- ************************************* p = 431; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 291680104442568144.9 -------------- Searches starting with [431,757]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(431,757) = 0.8198815741098091298 D2(431,757) = 0.05769550718938663852 C1(431,757) = 1.113696114210145738 C2(431,757) = 1.857264413197459955 C3(431,757) = 7.446016355319015961 C4(431,757) = 6056 Sum = 3994.214331414537791 Averaged sum = 0.3990622770920709152 logp*logq = 40.21443406391341010 -------------- ************************************* p = 431; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 301155484773397087.9 -------------- Searches starting with [431,761]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(431,761) = 0.9700184928075142877 D2(431,761) = 0.05517122443581626677 C1(431,761) = 1.461863959455623203 C2(431,761) = 1.855689538573669878 C3(431,761) = 13.94787748212727018 C4(431,761) = 6088 Sum = 3666.252346917296941 Averaged sum = 0.3662955686799177681 logp*logq = 40.24640308699696609 -------------- ************************************* p = 431; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 320878868329169634.4 -------------- Searches starting with [431,769]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(431,769) = 0.7331056041119234765 D2(431,769) = 0.04617410056642928810 C1(431,769) = 1.154596447835008585 C2(431,769) = 1.703558302972558139 C3(431,769) = 8.015770454633782584 C4(431,769) = 6152 Sum = 3518.235068317882765 Averaged sum = 0.3515071503964314881 logp*logq = 40.30984008959354370 -------------- ************************************* p = 431; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 331137978891013931.0 -------------- Searches starting with [431,773]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(431,773) = 0.8242108485686620177 D2(431,773) = 0.04393713780559258691 C1(431,773) = 1.121540442533561740 C2(431,773) = 1.702230808423885384 C3(431,773) = 7.552059275432854619 C4(431,773) = 6184 Sum = 4126.063049378466091 Averaged sum = 0.4122352931739900181 logp*logq = 40.34131153808361517 -------------- ************************************* p = 431; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 369228956326182041.9 -------------- Searches starting with [431,787]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(431,787) = 0.7334951973212999241 D2(431,787) = 0.02307231551191507563 C1(431,787) = 1.285085494789770139 C2(431,787) = 2.159475173309660350 C3(431,787) = 10.14159984196242755 C4(431,787) = 6296 Sum = 3935.804684645769043 Averaged sum = 0.3932265645564760758 logp*logq = 40.45019332438315334 -------------- ************************************* p = 431; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 398620653247639329.5 -------------- Searches starting with [431,797]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(431,797) = 0.5875200172751025954 D2(431,797) = 0.03450913338936576811 C1(431,797) = 1.029212558654826969 C2(431,797) = 1.883786886730433457 C3(431,797) = 6.394122511764762233 C4(431,797) = 6376 Sum = 4163.178611431733196 Averaged sum = 0.4159435119823891693 logp*logq = 40.52678661581679876 -------------- ************************************* p = 431; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 436445532688428039.0 -------------- Searches starting with [431,809]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(431,809) = 0.5940777094153437945 D2(431,809) = 0.02769282020864126352 C1(431,809) = 0.8189653628832372351 C2(431,809) = 1.879715864466130728 C3(431,809) = 4.376997420595219364 C4(431,809) = 6472 Sum = 4078.398146126657742 Averaged sum = 0.4074730888327163295 logp*logq = 40.61743998047642977 -------------- ************************************* p = 431; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 443031838578218490.9 -------------- Searches starting with [431,811]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(431,811) = 0.7492944876800494880 D2(431,811) = 0.02657812224236654502 C1(431,811) = 1.089512817033206708 C2(431,811) = 1.879054677096252843 C3(431,811) = 7.128376620326054794 C4(431,811) = 6488 Sum = 3890.215724148883139 Averaged sum = 0.3886717678238468517 logp*logq = 40.63241803275299461 -------------- ************************************* p = 431; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 477222160700985305.2 -------------- Searches starting with [431,821]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(431,821) = 0.5507939081539142819 D2(431,821) = 0.01935426745299589103 C1(431,821) = 0.7564403763399447436 C2(431,821) = 1.721245299261245737 C3(431,821) = 3.910432956659097220 C4(431,821) = 6568 Sum = 3921.453758149907528 Averaged sum = 0.3917927623288947475 logp*logq = 40.70675852307753223 -------------- ************************************* p = 431; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 484317906412762152.6 -------------- Searches starting with [431,823]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(431,823) = 0.6710757820642474215 D2(431,823) = 0.01836349898919439196 C1(431,823) = 0.9448508006727191916 C2(431,823) = 1.720688962790374049 C3(431,823) = 5.492034756045390509 C4(431,823) = 6584 Sum = 4245.538384150636290 Averaged sum = 0.4241720835398777390 logp*logq = 40.72151791743929102 -------------- ************************************* p = 431; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 498773963071965568.3 -------------- Searches starting with [431,827]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(431,827) = 0.8194579518976522532 D2(431,827) = 0.01550412126635315159 C1(431,827) = 1.121071021166222610 C2(431,827) = 1.625934229285906251 C3(431,827) = 7.545671169505967358 C4(431,827) = 6616 Sum = 4047.611046007422448 Averaged sum = 0.4043971471682907831 logp*logq = 40.75092940822015400 -------------- ************************************* p = 431; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 506136024069914328.0 -------------- Searches starting with [431,829]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(431,829) = 0.7434966617491049931 D2(431,829) = 0.01458168032357999734 C1(431,829) = 1.027018450437427085 C2(431,829) = 1.625429792048801981 C3(431,829) = 6.368881428202470297 C4(431,829) = 6632 Sum = 4197.593836997024971 Averaged sum = 0.4193819399537441274 logp*logq = 40.76558185034447587 -------------- ************************************* p = 431; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 544322246231256548.1 -------------- Searches starting with [431,839]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(431,839) = 0.6351351821658838471 D2(431,839) = 0.008573436159795720713 C1(431,839) = 1.132642655944314223 C2(431,839) = 1.386124066890407149 C3(431,839) = 7.704730024593536598 C4(431,839) = 6712 Sum = 3724.532939616061508 Averaged sum = 0.3721183874129345097 logp*logq = 40.83831783078378668 -------------- ************************************* p = 431; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 601802004056044046.7 -------------- Searches starting with [431,853]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(431,853) = 0.6449384298863370757 D2(431,853) = 0.004564374460616177057 C1(431,853) = 0.9039573217863410953 C2(431,853) = 1.914039007336321065 C3(431,853) = 5.101728671355427100 C4(431,853) = 6824 Sum = 4296.653150201787780 Averaged sum = 0.4292789639526214187 logp*logq = 40.93870488920418278 -------------- ************************************* p = 431; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 619125500377225723.6 -------------- Searches starting with [431,857]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(431,857) = 0.5835313914659506817 D2(431,857) = 0.002523687521609221690 C1(431,857) = 0.8415160469138865434 C2(431,857) = 1.912877363133895896 C3(431,857) = 4.558599620107695641 C4(431,857) = 6856 Sum = 4055.835551755240818 Averaged sum = 0.4052188582031412547 logp*logq = 40.96708439401940768 -------------- ************************************* p = 431; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 627942195977163393.1 -------------- Searches starting with [431,859]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(431,859) = 0.7417353167065097956 D2(431,859) = 0.001510623662355781441 C1(431,859) = 1.085312083284844426 C2(431,859) = 1.912302253566085895 C3(431,859) = 7.074599190604470286 C4(431,859) = 6872 Sum = 4289.204580109152051 Averaged sum = 0.4285347767118745180 logp*logq = 40.98122451252016644 -------------- ************************************* p = 431; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 645890416263933747.2 -------------- Searches starting with [431,863]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(431,863) = 0.9626165862755766098 D2(431,863) = 0.07456580468441734148 C1(431,863) = 1.295031828701858686 C2(431,863) = 1.708585773002320346 C3(431,863) = 10.32508311361192704 C4(431,863) = 6904 Sum = 3746.035119613491054 Averaged sum = 0.3742666719565881760 logp*logq = 41.00940625003741119 -------------- ************************************* p = 431; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 712120753157145236.2 -------------- Searches starting with [431,877]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(431,877) = 0.7958134609441403196 D2(431,877) = 0.1435300009824860238 C1(431,877) = 1.093436876819260684 C2(431,877) = 1.484181956470753846 C3(431,877) = 7.178981321019421096 C4(431,877) = 7016 Sum = 4265.628916212973888 Averaged sum = 0.4261793302240957027 logp*logq = 41.10702388907351544 -------------- ************************************* p = 431; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 732052424261522935.5 -------------- Searches starting with [431,881]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(431,881) = 0.8023966793272295099 D2(431,881) = 0.1168881363905155608 C1(431,881) = 1.293659812250306701 C2(431,881) = 1.291690063102931901 C3(431,881) = 10.29957704566430408 C4(431,881) = 7048 Sum = 3411.191199403582972 Averaged sum = 0.3408123887904468950 logp*logq = 41.13462852415117207 -------------- ************************************* p = 431; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 742191638162970407.0 -------------- Searches starting with [431,883]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(431,883) = 0.5845900920132339612 D2(431,883) = 0.1432265178295422021 C1(431,883) = 0.9425022911502045263 C2(431,883) = 1.486579887297731815 C3(431,883) = 5.468832287102917503 C4(431,883) = 7064 Sum = 3889.165896225722104 Averaged sum = 0.3885668794310842345 logp*logq = 41.14838387718830971 -------------- ************************************* p = 431; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 762822192403203525.8 -------------- Searches starting with [431,887]-exponents: u = 19, v = 8 n_start has 74 digits **************************************************** Computing .... elapsed time = 42 minutes **************************************************** starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(431,887) = 0.7131967371376040844 D2(431,887) = 0.1231886893445981261 C1(431,887) = 1.047135272116132106 C2(431,887) = 1.877570888859535837 C3(431,887) = 6.604087630071969294 C4(431,887) = 7096 Sum = 3699.210989736596656 Averaged sum = 0.3695884693512435464 logp*logq = 41.17580136155827093 -------------- ************************************* p = 431; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 873304084496543569.0 -------------- Searches starting with [431,907]-exponents: u = 55, v = 8 n_start has 169 digits starting right neighbors generation We generated 1740 left neighbors We generated 8270 right neighbors We generated 10009 non-negative rho_i D1(431,907) = 0.7285194509258108146 D2(431,907) = 0.02573941727639849698 C1(431,907) = 1.003321842430113871 C2(431,907) = 1.784186792490562017 C3(431,907) = 6.102543006963185255 C4(431,907) = 7256 Sum = 4188.216540220492590 Averaged sum = 0.4184450534739227285 logp*logq = 41.31106021140238879 -------------- ************************************* p = 431; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 896929626345699446.5 -------------- Searches starting with [431,911]-exponents: u = 82, v = 8 n_start has 240 digits starting right neighbors generation We generated 3627 left neighbors We generated 6383 right neighbors We generated 10009 non-negative rho_i D1(431,911) = 0.5400957065796698868 D2(431,911) = 0.009344552741807402333 C1(431,911) = 0.8838403930776458197 C2(431,911) = 1.768594049583484381 C3(431,911) = 4.920028403249493424 C4(431,911) = 7288 Sum = 4210.114874745596734 Averaged sum = 0.4206329178484960270 logp*logq = 41.33775379942766576 -------------- ************************************* p = 431; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 945784510565405444.8 -------------- Searches starting with [431,919]-exponents: u = 784, v = 8 n_start has 2090 digits --- performed 5000 steps in the continued fraction search [431,919]-exponents: u = 589, v = 175 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(431,919) = 0.7541355142536071187 D2(431,919) = 0.4667809908359105614 C1(431,919) = 0.9581285584571711340 C2(431,919) = 1.518564532803391263 C3(431,919) = 5.625078249863281649 C4(431,919) = 7352 Sum = 5604.776209002933270 Averaged sum = 0.5605336742677200990 logp*logq = 41.39079114791446391 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(431,919) = 0.7541355142536071187 D2(431,919) = 0.4667809908359105614 C1(431,919) = 0.9581285584571711340 C2(431,919) = 1.518564532803391263 C3(431,919) = 5.625078249863281649 C4(431,919) = 7352 Sum = 5604.776209002933270 Averaged sum = 0.5605336742677200990 logp*logq = 41.39079114791446391 -------------- ************************************* p = 431; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.009959908261307309 E18 -------------- Searches starting with [431,929]-exponents: u = 9, v = 71 n_start has 235 digits starting right neighbors generation We generated 1723 left neighbors We generated 8287 right neighbors We generated 10009 non-negative rho_i D1(431,929) = 0.7163910134580285827 D2(431,929) = 0.0009729569667326869738 C1(431,929) = 1.004106550126733562 C2(431,929) = 1.423497822103506836 C3(431,929) = 6.111181810238302667 C4(431,929) = 7432 Sum = 4454.680040595092789 Averaged sum = 0.4450674433604848426 logp*logq = 41.45644230916734650 -------------- ************************************* p = 431; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.063882276606838179 E18 -------------- Searches starting with [431,937]-exponents: u = 9, v = 39 n_start has 140 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(431,937) = 0.6294274539496473897 D2(431,937) = 0.02275164732676980741 C1(431,937) = 0.8587131215146191886 C2(431,937) = 1.579716165389896009 C3(431,937) = 4.702136303766234694 C4(431,937) = 7496 Sum = 3832.503231439280891 Averaged sum = 0.3829057080067220393 logp*logq = 41.50845641640415940 -------------- ************************************* p = 431; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.091732078244253596 E18 -------------- Searches starting with [431,941]-exponents: u = 9, v = 31 n_start has 116 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(431,941) = 0.8119036304920320240 D2(431,941) = 0.03527817747817520631 C1(431,941) = 1.120934740190133671 C2(431,941) = 1.647801131584698046 C3(431,941) = 7.543817606414244510 C4(431,941) = 7528 Sum = 4163.271890992439140 Averaged sum = 0.4159528315508481506 logp*logq = 41.53429717151922585 -------------- ************************************* p = 431; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.134646784236748623 E18 -------------- Searches starting with [431,947]-exponents: u = 9, v = 23 n_start has 93 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(431,947) = 0.9279717095036427235 D2(431,947) = 0.05604371549694945387 C1(431,947) = 1.262732606873931246 C2(431,947) = 1.743486107684164603 C3(431,947) = 9.741058866272477342 C4(431,947) = 7576 Sum = 3910.688647314187711 Averaged sum = 0.3907172192341080738 logp*logq = 41.57285307307674773 -------------- ************************************* p = 431; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.178961290062716693 E18 -------------- Searches starting with [431,953]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(431,953) = 0.5891891951918900483 D2(431,953) = 0.08115239667122080802 C1(431,953) = 0.8106641789893876498 C2(431,953) = 1.878410551522136801 C3(431,953) = 4.311984684121646116 C4(431,953) = 7624 Sum = 3946.591053851879268 Averaged sum = 0.3943042315767688348 logp*logq = 41.61116546205299587 -------------- ************************************* p = 431; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.288011340469077739 E18 -------------- Searches starting with [431,967]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(431,967) = 0.9744165378632148711 D2(431,967) = 0.09017393780545316650 C1(431,967) = 1.594441423346974833 C2(431,967) = 1.221219568506293189 C3(431,967) = 17.71349933329600913 C4(431,967) = 7736 Sum = 2909.742460832448082 Averaged sum = 0.2907126047389797265 logp*logq = 41.69963110624823981 -------------- ************************************* p = 431; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.320671291881439105 E18 -------------- Searches starting with [431,971]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(431,971) = 0.6361452973852841242 D2(431,971) = 0.1139081649832398228 C1(431,971) = 1.040911881443335132 C2(431,971) = 1.439497496610574616 C3(431,971) = 6.530410347253010375 C4(431,971) = 7768 Sum = 3902.269278782213732 Averaged sum = 0.3898760394427229226 logp*logq = 41.72467183567674567 -------------- ************************************* p = 431; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.370956268121321423 E18 -------------- Searches starting with [431,977]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(431,977) = 0.7105183705336639892 D2(431,977) = 0.09776581194673514308 C1(431,977) = 0.9686094905234584395 C2(431,977) = 1.916046440960535764 C3(431,977) = 5.732369759843188930 C4(431,977) = 7816 Sum = 4013.822679077945493 Averaged sum = 0.4010213486939699763 logp*logq = 41.76204017616798967 -------------- ************************************* p = 431; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.422830298112161790 E18 -------------- Searches starting with [431,983]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(431,983) = 0.9537378559415468102 D2(431,983) = 0.07270438514117856041 C1(431,983) = 1.314774781034156018 C2(431,983) = 1.892128951496239936 C3(431,983) = 10.69918049050718506 C4(431,983) = 7864 Sum = 4358.639258884233353 Averaged sum = 0.4354720010874446351 logp*logq = 41.79917972946739447 -------------- ************************************* p = 431; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.494536871833400563 E18 -------------- Searches starting with [431,991]-exponents: u = 25, v = 7 n_start has 87 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(431,991) = 1.478347080615969204 D2(431,991) = 0.04209671846598284432 C1(431,991) = 2.134689687676107900 C2(431,991) = 1.863035571334417220 C3(431,991) = 46.91051621523637561 C4(431,991) = 7928 Sum = 6012.072333189256088 Averaged sum = 0.6006666333489115884 logp*logq = 41.84834804801544925 -------------- ************************************* p = 431; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.550275771066243636 E18 -------------- Searches starting with [431,997]-exponents: u = 33, v = 7 n_start has 108 digits starting right neighbors generation We generated 664 left neighbors We generated 9346 right neighbors We generated 10009 non-negative rho_i D1(431,997) = 0.5557313599801233896 D2(431,997) = 0.02086330314312050690 C1(431,997) = 0.7701272748915098433 C2(431,997) = 1.842929759586924167 C3(431,997) = 4.008117606490515140 C4(431,997) = 7976 Sum = 3893.747693243059354 Averaged sum = 0.3890246471418782450 logp*logq = 41.88496450581558910 -------------- ************************************* p = 433; q = 439; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11008016147237276.43 -------------- Searches starting with [433,439]-exponents: u = 1, v = 441 n_start has 1168 digits --- performed 5000 steps in the continued fraction search [433,439]-exponents: u = 204, v = 227 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(433,439) = 0.7979953770846930050 D2(433,439) = 0.1316516131706067948 C1(433,439) = 1.034261303352881763 C2(433,439) = 1.172490634730658337 C3(433,439) = 6.457677379716014601 C4(433,439) = 3512 Sum = 5429.922329853867685 Averaged sum = 0.5430465376391506835 logp*logq = 36.93740014296444868 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(433,439) = 0.7979953770846930050 D2(433,439) = 0.1316516131706067948 C1(433,439) = 1.034261303352881763 C2(433,439) = 1.172490634730658337 C3(433,439) = 6.457677379716014601 C4(433,439) = 3512 Sum = 5429.922329853867685 Averaged sum = 0.5430465376391506835 logp*logq = 36.93740014296444868 -------------- ************************************* p = 433; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 11631157705343085.79 -------------- Searches starting with [433,443]-exponents: u = 1, v = 265 n_start has 704 digits --- performed 5000 steps in the continued fraction search [433,443]-exponents: u = 136, v = 111 --- starting right neighbors generation We generated 7811 left neighbors We generated 2199 right neighbors We generated 10009 non-negative rho_i D1(433,443) = 0.8059503737467009158 D2(433,443) = 0.002978935494274644947 C1(433,443) = 1.066099076131580473 C2(433,443) = 1.127024768930609217 C3(433,443) = 6.839321324395213121 C4(433,443) = 3544 Sum = 5136.430639435918414 Averaged sum = 0.5131812008628153076 logp*logq = 36.99246390122846124 -------------- ************************************* p = 433; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12620946514895549.68 -------------- Searches starting with [433,449]-exponents: u = 1, v = 167 n_start has 446 digits starting right neighbors generation We generated 3189 left neighbors We generated 6821 right neighbors We generated 10009 non-negative rho_i D1(433,449) = 0.6486965408608676895 D2(433,449) = 0.008609013780933369470 C1(433,449) = 0.8770185622462619555 C2(433,449) = 1.210135652710066875 C3(433,449) = 4.863146004582271906 C4(433,449) = 3592 Sum = 4724.744092005267122 Averaged sum = 0.4720495645923935580 logp*logq = 37.07413425039161743 -------------- ************************************* p = 433; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14049265801045151.02 -------------- Searches starting with [433,457]-exponents: u = 1, v = 112 n_start has 301 digits starting right neighbors generation We generated 1504 left neighbors We generated 8506 right neighbors We generated 10009 non-negative rho_i D1(433,457) = 0.5614063098744380350 D2(433,457) = 0.005336136767170163843 C1(433,457) = 0.7751822185977194021 C2(433,457) = 1.283735583347281204 C3(433,457) = 4.047201812356008577 C4(433,457) = 3656 Sum = 4679.385906886238381 Averaged sum = 0.4675178246464420402 logp*logq = 37.18134653317166965 -------------- ************************************* p = 433; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14812545721375216.83 -------------- Searches starting with [433,461]-exponents: u = 1, v = 96 n_start has 259 digits starting right neighbors generation We generated 1109 left neighbors We generated 8901 right neighbors We generated 10009 non-negative rho_i D1(433,461) = 0.7692740214042801312 D2(433,461) = 0.003592776297587519303 C1(433,461) = 1.071865135078664110 C2(433,461) = 1.313853387010774654 C3(433,461) = 6.910814323190503611 C4(433,461) = 3688 Sum = 4918.058126953190180 Averaged sum = 0.4913635854683974602 logp*logq = 37.23425090047639156 -------------- ************************************* p = 433; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15206984007625748.25 -------------- Searches starting with [433,463]-exponents: u = 1, v = 90 n_start has 243 digits starting right neighbors generation We generated 956 left neighbors We generated 9054 right neighbors We generated 10009 non-negative rho_i D1(433,463) = 0.5793645884735858702 D2(433,463) = 0.01603618218349952068 C1(433,463) = 0.8104396394400891027 C2(433,463) = 1.339485388356565401 C3(433,463) = 4.312905426500014601 C4(433,463) = 3704 Sum = 4605.282643176267206 Averaged sum = 0.4601141615722117300 logp*logq = 37.26053119142287976 -------------- ************************************* p = 433; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16022220152644682.46 -------------- Searches starting with [433,467]-exponents: u = 1, v = 80 n_start has 217 digits starting right neighbors generation We generated 774 left neighbors We generated 9236 right neighbors We generated 10009 non-negative rho_i D1(433,467) = 0.6038567636156817457 D2(433,467) = 0.02207947272344310155 C1(433,467) = 0.8516820177477542530 C2(433,467) = 1.372221817981352839 C3(433,467) = 4.645930150269473042 C4(433,467) = 3736 Sum = 3846.542489707206112 Averaged sum = 0.3843083714364278261 logp*logq = 37.31275291325611166 -------------- ************************************* p = 433; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18690198979654706.95 -------------- Searches starting with [433,479]-exponents: u = 1, v = 60 n_start has 164 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(433,479) = 0.7336379086621228534 D2(433,479) = 0.02664729888836112741 C1(433,479) = 1.055494697991925801 C2(433,479) = 1.447064088163287674 C3(433,479) = 6.709763603051426708 C4(433,479) = 3832 Sum = 3434.331482998909670 Averaged sum = 0.3431243363971335468 logp*logq = 37.46677566263794882 -------------- ************************************* p = 433; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20667286501411977.43 -------------- Searches starting with [433,487]-exponents: u = 1, v = 51 n_start has 140 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(433,487) = 0.5512416849514939352 D2(433,487) = 0.01027919403127495117 C1(433,487) = 0.8016397538399536552 C2(433,487) = 1.473254350187746259 C3(433,487) = 4.244998095066433877 C4(433,487) = 3896 Sum = 4401.558091494913244 Averaged sum = 0.4397600251268771350 logp*logq = 37.56732848284172133 -------------- ************************************* p = 433; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21719506007789478.10 -------------- Searches starting with [433,491]-exponents: u = 1, v = 48 n_start has 132 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(433,491) = 0.6143301714658481817 D2(433,491) = 0.01009160551619303308 C1(433,491) = 0.8360402369023813639 C2(433,491) = 1.491850835865318525 C3(433,491) = 4.516701445927557104 C4(433,491) = 3928 Sum = 3875.888796835091665 Averaged sum = 0.3872403633564883270 logp*logq = 37.61698714606167771 -------------- ************************************* p = 433; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23958563558136125.28 -------------- Searches starting with [433,499]-exponents: u = 1, v = 42 n_start has 116 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(433,499) = 0.6272870561722310845 D2(433,499) = 0.004940745888258349661 C1(433,499) = 0.9262413512341048347 C2(433,499) = 1.522472732145996727 C3(433,499) = 5.314600671624763080 C4(433,499) = 3992 Sum = 4205.293528843573133 Averaged sum = 0.4201512167892469910 logp*logq = 37.71510221469699331 -------------- ************************************* p = 433; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25148419236608671.60 -------------- Searches starting with [433,503]-exponents: u = 1, v = 40 n_start has 111 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(433,503) = 0.9119062869564162042 D2(433,503) = 0.006373997892907742713 C1(433,503) = 1.284087035430419521 C2(433,503) = 1.540183488421476778 C3(433,503) = 10.13328408066234336 C4(433,503) = 4024 Sum = 4788.889069822147691 Averaged sum = 0.4784582945171493347 logp*logq = 37.76357143606591264 -------------- ************************************* p = 433; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27025501411680594.81 -------------- Searches starting with [433,509]-exponents: u = 1, v = 37 n_start has 103 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(433,509) = 0.7028565902498590527 D2(433,509) = 0.04810776950066694359 C1(433,509) = 0.9946735612544970384 C2(433,509) = 1.599953970450907834 C3(433,509) = 6.012700655674319613 C4(433,509) = 4072 Sum = 4431.378151824305653 Averaged sum = 0.4427393497676396896 logp*logq = 37.83555731188754467 -------------- ************************************* p = 433; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31132160996985548.51 -------------- Searches starting with [433,521]-exponents: u = 1, v = 32 n_start has 90 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(433,521) = 0.6410973359236742075 D2(433,521) = 0.07293199113496414554 C1(433,521) = 0.8664836324914277491 C2(433,521) = 1.665228413986550379 C3(433,521) = 4.771620706770287260 C4(433,521) = 4168 Sum = 4000.971751077684944 Averaged sum = 0.3997374114374747671 logp*logq = 37.97701779542531568 -------------- ************************************* p = 433; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31864768397324009.87 -------------- Searches starting with [433,523]-exponents: u = 1, v = 32 n_start has 90 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(433,523) = 0.6738011579837682293 D2(433,523) = 0.04010761054553401480 C1(433,523) = 1.021358000764234140 C2(433,523) = 1.643331421383633751 C3(433,523) = 6.309136775085591949 C4(433,523) = 4184 Sum = 3495.412297217867703 Averaged sum = 0.3492269254888468082 logp*logq = 38.00027735540398909 -------------- ************************************* p = 433; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39131253083910007.74 -------------- Searches starting with [433,541]-exponents: u = 1, v = 27 n_start has 77 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(433,541) = 0.6945105317534118973 D2(433,541) = 0.08369831650657783743 C1(433,541) = 0.9594644795164313553 C2(433,541) = 1.738943718300937653 C3(433,541) = 5.642770275365206959 C4(433,541) = 4328 Sum = 4243.422934234378166 Averaged sum = 0.4239607287675470242 logp*logq = 38.20569785423155734 -------------- ************************************* p = 433; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41841087203759302.34 -------------- Searches starting with [433,547]-exponents: u = 1, v = 25 n_start has 72 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(433,547) = 1.011045785127153338 D2(433,547) = 0.1062296739339423262 C1(433,547) = 1.564289486985919393 C2(433,547) = 1.776557147295109360 C3(433,547) = 16.79640733224045148 C4(433,547) = 4376 Sum = 4829.026034002726425 Averaged sum = 0.4824683818566017009 logp*logq = 38.27265519912323619 -------------- ************************************* p = 433; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46705360542889359.78 -------------- Searches starting with [433,557]-exponents: u = 1, v = 24 n_start has 69 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(433,557) = 0.7174175246984398792 D2(433,557) = 0.07231924420221311016 C1(433,557) = 1.119396202666844240 C2(433,557) = 1.774795772106874296 C3(433,557) = 7.529350733024027222 C4(433,557) = 4456 Sum = 3463.619635612304794 Averaged sum = 0.3460505180949450289 logp*logq = 38.38263533978367731 -------------- ************************************* p = 433; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49844252088954883.77 -------------- Searches starting with [433,563]-exponents: u = 1, v = 23 n_start has 66 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(433,563) = 0.7692246578963052046 D2(433,563) = 0.05990556204668535598 C1(433,563) = 1.032831547078288789 C2(433,563) = 1.780178601214281861 C3(433,563) = 6.441047469045494976 C4(433,563) = 4504 Sum = 3747.063967811586441 Averaged sum = 0.3743694642633216545 logp*logq = 38.44767958053719775 -------------- ************************************* p = 433; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53157430553924617.87 -------------- Searches starting with [433,569]-exponents: u = 1, v = 22 n_start has 64 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(433,569) = 0.5694086470891563435 D2(433,569) = 0.03685158006700057201 C1(433,569) = 0.7959711715182962946 C2(433,569) = 1.776049244770776688 C3(433,569) = 4.201821809502685451 C4(433,569) = 4552 Sum = 3923.279787420583202 Averaged sum = 0.3919752010611033272 logp*logq = 38.51203429338753113 -------------- ************************************* p = 433; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54301874876924359.66 -------------- Searches starting with [433,571]-exponents: u = 1, v = 21 n_start has 61 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(433,571) = 0.8408640148882811154 D2(433,571) = 0.07010382274730356148 C1(433,571) = 1.324513941237891706 C2(433,571) = 1.809827337136503056 C3(433,571) = 10.89969253229968628 C4(433,571) = 4568 Sum = 3960.162614698455647 Averaged sum = 0.3956601673192582323 logp*logq = 38.53333514937464715 -------------- ************************************* p = 433; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57859434219965893.44 -------------- Searches starting with [433,577]-exponents: u = 1, v = 21 n_start has 61 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(433,577) = 0.8178345726486502654 D2(433,577) = 0.03364277430511304810 C1(433,577) = 1.110284548293599497 C2(433,577) = 1.793563191671862836 C3(433,577) = 7.406634305996247678 C4(433,577) = 4616 Sum = 4088.252248174739139 Averaged sum = 0.4084576129658046897 logp*logq = 38.59679291597958088 -------------- ************************************* p = 433; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64220809633749329.05 -------------- Searches starting with [433,587]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(433,587) = 0.8646694629351051972 D2(433,587) = 0.04431546413339525375 C1(433,587) = 1.376872684013470502 C2(433,587) = 1.826920280947474315 C3(433,587) = 11.97908884259933717 C4(433,587) = 4696 Sum = 3875.430535595741195 Averaged sum = 0.3871945784389790383 logp*logq = 38.70110369068270042 -------------- ************************************* p = 433; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68310544772457143.96 -------------- Searches starting with [433,593]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(433,593) = 0.6130880782843316683 D2(433,593) = 0.1429205207027777964 C1(433,593) = 0.8820557494830858142 C2(433,593) = 1.927069951415442398 C3(433,593) = 4.907526375329104573 C4(433,593) = 4744 Sum = 3761.683985343265304 Averaged sum = 0.3758301513980682690 logp*logq = 38.76284053862567545 -------------- ************************************* p = 433; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72615577811073072.88 -------------- Searches starting with [433,599]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(433,599) = 0.6000732235854681723 D2(433,599) = 0.06424501338828541122 C1(433,599) = 0.8197128457946429098 C2(433,599) = 1.871691721554670504 C3(433,599) = 4.385641166755328077 C4(433,599) = 4792 Sum = 3936.335526711318407 Averaged sum = 0.3932796010302046565 logp*logq = 38.82395586412495528 -------------- ************************************* p = 433; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74099981332417638.39 -------------- Searches starting with [433,601]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(433,601) = 0.8279950116061993841 D2(433,601) = 0.09382493943745622381 C1(433,601) = 1.235601385398268638 C2(433,601) = 1.901781640394004563 C3(433,601) = 9.284836193886946859 C4(433,601) = 4808 Sum = 4005.617710605576386 Averaged sum = 0.4002015896298907370 logp*logq = 38.84419167528850632 -------------- ************************************* p = 433; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 78706135891161466.69 -------------- Searches starting with [433,607]-exponents: u = 1, v = 17 n_start has 50 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(433,607) = 0.9797051734166074734 D2(433,607) = 0.01185385652439803981 C1(433,607) = 1.579778338577032141 C2(433,607) = 1.845022296876077445 C3(433,607) = 17.27220998053697612 C4(433,607) = 4856 Sum = 4061.280703000255258 Averaged sum = 0.4057628837046913036 logp*logq = 38.90449751287508145 -------------- ************************************* p = 433; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83549040744909839.05 -------------- Searches starting with [433,613]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(433,613) = 0.6754621117757608320 D2(433,613) = 0.08868817468134226282 C1(433,613) = 1.012823007153248361 C2(433,613) = 1.923373246110476444 C3(433,613) = 6.212765786789153370 C4(433,613) = 4904 Sum = 3501.949845236742162 Averaged sum = 0.3498800924404777862 logp*logq = 38.96421016867624229 -------------- ************************************* p = 433; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86913935855131236.96 -------------- Searches starting with [433,617]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(433,617) = 1.118091675420855304 D2(433,617) = 0.1264883036684350695 C1(433,617) = 1.534354732379190773 C2(433,617) = 1.383433081226976438 C3(433,617) = 15.91366666966389868 C4(433,617) = 4936 Sum = 4362.908201649240179 Averaged sum = 0.4358985115045699049 logp*logq = 39.00369478089696864 -------------- ************************************* p = 433; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88638367314851365.91 -------------- Searches starting with [433,619]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(433,619) = 1.150245954251538650 D2(433,619) = 0.1134333157705911560 C1(433,619) = 1.867954921109553872 C2(433,619) = 1.235465776131987996 C3(433,619) = 29.04422278878951849 C4(433,619) = 4952 Sum = 4511.082806633226874 Averaged sum = 0.4507026482798708037 logp*logq = 39.02334119845811040 -------------- ************************************* p = 433; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99596452729424046.26 -------------- Searches starting with [433,631]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(433,631) = 0.6647673041343892008 D2(433,631) = 0.1146157633328863014 C1(433,631) = 0.9084460185635022109 C2(433,631) = 1.363607790566424373 C3(433,631) = 5.146744339449834373 C4(433,631) = 5048 Sum = 3958.344191659725892 Averaged sum = 0.3954784885262989201 logp*logq = 39.13990294370057747 -------------- ************************************* p = 433; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109571835531112277.3 -------------- Searches starting with [433,641]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(433,641) = 0.7403889824650735045 D2(433,641) = 0.05411837317844737213 C1(433,641) = 1.122277709473225644 C2(433,641) = 1.950272903386076110 C3(433,641) = 7.568580658860216790 C4(433,641) = 5128 Sum = 3463.842596404968698 Averaged sum = 0.3460727941257836645 logp*logq = 39.23535676131975427 -------------- ************************************* p = 433; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111663773877065830.7 -------------- Searches starting with [433,643]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(433,643) = 0.6565774588803543575 D2(433,643) = 0.07679153217643827253 C1(433,643) = 0.9608434173250874404 C2(433,643) = 1.973434675933204400 C3(433,643) = 5.656820670724976583 C4(433,643) = 5144 Sum = 4024.039224117446951 Averaged sum = 0.4020420845356625987 logp*logq = 39.25426873215357176 -------------- ************************************* p = 433; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115947841044028852.3 -------------- Searches starting with [433,647]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(433,647) = 0.6649551832934834494 D2(433,647) = 0.1041651905637003513 C1(433,647) = 1.097562115714118586 C2(433,647) = 1.368136534649149632 C3(433,647) = 7.238626453181220467 C4(433,647) = 5176 Sum = 4088.118595646969690 Averaged sum = 0.4084442597309391238 logp*logq = 39.29191683872373114 -------------- ************************************* p = 433; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122630825176598130.8 -------------- Searches starting with [433,653]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(433,653) = 0.7834608335436337835 D2(433,653) = 0.1310547210346610042 C1(433,653) = 1.068570873295466336 C2(433,653) = 1.788040458511623475 C3(433,653) = 6.869877962260795332 C4(433,653) = 5224 Sum = 3927.916351469708094 Averaged sum = 0.3924384405504753815 logp*logq = 39.34795481565650152 -------------- ************************************* p = 433; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129632541993442298.9 -------------- Searches starting with [433,659]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(433,659) = 1.138019959805215103 D2(433,659) = 0.03873933259760307903 C1(433,659) = 1.537645560226316655 C2(433,659) = 1.970991925712709639 C3(433,659) = 16.00839419182190382 C4(433,659) = 5272 Sum = 4003.298443971559311 Averaged sum = 0.3999698715127944162 logp*logq = 39.40348024293804119 -------------- ************************************* p = 433; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132039356973762920.4 -------------- Searches starting with [433,661]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(433,661) = 0.6715245159024209093 D2(433,661) = 0.05863754723264072614 C1(433,661) = 0.9878525576345420621 C2(433,661) = 1.991369967079471946 C3(433,661) = 5.939188236030444214 C4(433,661) = 5288 Sum = 3988.957864657001754 Averaged sum = 0.3985371030729345343 logp*logq = 39.42187643194867031 -------------- ************************************* p = 433; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 147277955176134857.0 -------------- Searches starting with [433,673]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(433,673) = 0.6085044303444139939 D2(433,673) = 0.1158293076302329426 C1(433,673) = 0.8776488237129559131 C2(433,673) = 1.802176101028651308 C3(433,673) = 4.868676910536501180 C4(433,673) = 5384 Sum = 3636.849471129312091 Averaged sum = 0.3633579249804488052 logp*logq = 39.53109804781825917 -------------- ************************************* p = 433; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152672713123749751.0 -------------- Searches starting with [433,677]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(433,677) = 0.5344147460780238103 D2(433,677) = 0.1125751738164411513 C1(433,677) = 0.7590541795270111894 C2(433,677) = 1.799940811024662753 C3(433,677) = 3.931178028365888405 C4(433,677) = 5416 Sum = 4134.025406735980134 Averaged sum = 0.4130308129419502581 logp*logq = 39.56707289518656024 -------------- ************************************* p = 433; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161073725205196054.9 -------------- Searches starting with [433,683]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(433,683) = 0.7195988477361361713 D2(433,683) = 0.04407753081110730613 C1(433,683) = 1.064643563977682667 C2(433,683) = 2.017564605382278408 C3(433,683) = 6.821391735852151228 C4(433,683) = 5464 Sum = 3474.440809241754223 Averaged sum = 0.3471316624279902310 logp*logq = 39.62063857561070710 -------------- ************************************* p = 433; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172872737808221685.2 -------------- Searches starting with [433,691]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(433,691) = 1.170990462891845822 D2(433,691) = 0.06800292782647115746 C1(433,691) = 1.971222429710968817 C2(433,691) = 1.168410231335723955 C3(433,691) = 34.98993653298713158 C4(433,691) = 5528 Sum = 4007.818174854465879 Averaged sum = 0.4004214381910746207 logp*logq = 39.69133209910194371 -------------- ************************************* p = 433; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 188628684043701334.1 -------------- Searches starting with [433,701]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(433,701) = 1.018196418063914049 D2(433,701) = 0.09562004724143536123 C1(433,701) = 1.453389200595896170 C2(433,701) = 1.816070544660929458 C3(433,701) = 13.75164634136303655 C4(433,701) = 5608 Sum = 4958.378369925412497 Averaged sum = 0.4953919842067551700 logp*logq = 39.77855684285476284 -------------- ************************************* p = 433; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 202081077607278641.2 -------------- Searches starting with [433,709]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(433,709) = 0.6172636702650110815 D2(433,709) = 0.02236237341903634809 C1(433,709) = 0.9190416982197176723 C2(433,709) = 2.042072788229816421 C3(433,709) = 5.246039680908165842 C4(433,709) = 5672 Sum = 3653.844829696181957 Averaged sum = 0.3650559326302509698 logp*logq = 39.84744538607623441 -------------- ************************************* p = 433; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220014778473583392.4 -------------- Searches starting with [433,719]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(433,719) = 0.9635987201237836959 D2(433,719) = 0.05726819895131041664 C1(433,719) = 1.641129114338027262 C2(433,719) = 1.153565183417114596 C3(433,719) = 19.29302739442212712 C4(433,719) = 5752 Sum = 3259.736632408727504 Averaged sum = 0.3256805507452020685 logp*logq = 39.93247111388684010 -------------- ************************************* p = 433; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 235301614999629979.1 -------------- Searches starting with [433,727]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(433,727) = 0.8901938625817765881 D2(433,727) = 0.07848982158593034883 C1(433,727) = 1.247863599051981072 C2(433,727) = 1.835856913050835180 C3(433,727) = 9.492454419387100276 C4(433,727) = 5816 Sum = 4549.426429152843822 Averaged sum = 0.4545335627088464204 logp*logq = 39.99964455419728582 -------------- ************************************* p = 433; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 247340248910280526.8 -------------- Searches starting with [433,733]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(433,733) = 0.6942245147471084401 D2(433,733) = 0.07438512814748108450 C1(433,733) = 0.9333220030921391750 C2(433,733) = 1.833207349957812892 C3(433,733) = 5.382902310307358690 C4(433,733) = 5864 Sum = 3765.650672505688674 Averaged sum = 0.3762264634334787366 logp*logq = 40.04954130957276188 -------------- ************************************* p = 433; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 259889073212032972.6 -------------- Searches starting with [433,739]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(433,739) = 0.7688654689307622737 D2(433,739) = 0.06482279678312828066 C1(433,739) = 1.037942732236107484 C2(433,739) = 1.686498852372266499 C3(433,739) = 6.500695025975832971 C4(433,739) = 5912 Sum = 3772.395390731983236 Averaged sum = 0.3769003287772987547 logp*logq = 40.09903129339665622 -------------- ************************************* p = 433; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 268546878329238575.5 -------------- Searches starting with [433,743]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(433,743) = 0.7340471522642199403 D2(433,743) = 0.01061248002759542102 C1(433,743) = 1.074206603481010567 C2(433,743) = 2.084000547012120295 C3(433,743) = 6.940058956433992368 C4(433,743) = 5944 Sum = 3476.097644944581652 Averaged sum = 0.3472971970171427367 logp*logq = 40.13180188702493529 -------------- ************************************* p = 433; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 286586585218167355.5 -------------- Searches starting with [433,751]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(433,751) = 1.004267310721631574 D2(433,751) = 0.03847093065317525481 C1(433,751) = 1.733192134868343086 C2(433,751) = 1.122839235839426215 C3(433,751) = 22.77759971488881711 C4(433,751) = 6008 Sum = 2793.308928610906675 Averaged sum = 0.2790797211120897867 logp*logq = 40.19681710257344883 -------------- ************************************* p = 433; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 300771012786332475.4 -------------- Searches starting with [433,757]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(433,757) = 0.5980007130077446742 D2(433,757) = 0.05991879963612558344 C1(433,757) = 1.032013961100341374 C2(433,757) = 1.859337917734232800 C3(433,757) = 6.431557142568272611 C4(433,757) = 6056 Sum = 4174.856805004868520 Averaged sum = 0.4171102812473642241 logp*logq = 40.24512561527605207 -------------- ************************************* p = 433; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 310549292915343217.4 -------------- Searches starting with [433,761]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(433,761) = 0.5876312741743582046 D2(433,761) = 0.05737909836520084730 C1(433,761) = 0.8628974796845878135 C2(433,761) = 1.857747613385208143 C3(433,761) = 4.740859567669511212 C4(433,761) = 6088 Sum = 3728.451300641730613 Averaged sum = 0.3725098711801109614 logp*logq = 40.27711903703478083 -------------- ************************************* p = 433; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 330903919450426167.8 -------------- Searches starting with [433,769]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(433,769) = 0.8005612308188388081 D2(433,769) = 0.05239238051927772889 C1(433,769) = 1.129111232276331764 C2(433,769) = 1.854644529071935516 C3(433,769) = 7.662433916617116522 C4(433,769) = 6152 Sum = 4138.890856332204247 Averaged sum = 0.4135169204048560543 logp*logq = 40.34060445458655564 -------------- ************************************* p = 433; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 341491752219820368.3 -------------- Searches starting with [433,773]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(433,773) = 0.7146625607421969553 D2(433,773) = 0.04592612158132781316 C1(433,773) = 1.125723670205551682 C2(433,773) = 1.704053876656462128 C3(433,773) = 7.615763744518485362 C4(433,773) = 6184 Sum = 3633.894780075627196 Averaged sum = 0.3630627215581603753 logp*logq = 40.37209992200416578 -------------- ************************************* p = 433; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 380805372658123488.2 -------------- Searches starting with [433,787]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(433,787) = 0.6296717530968424243 D2(433,787) = 0.03284695142736821684 C1(433,787) = 0.8997510670237501155 C2(433,787) = 1.459242515232270997 C3(433,787) = 5.066666849678738053 C4(433,787) = 6296 Sum = 3556.755094529315766 Averaged sum = 0.3553556893325322975 logp*logq = 40.48106480659948893 -------------- ************************************* p = 433; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 411142618898397831.9 -------------- Searches starting with [433,797]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(433,797) = 0.9056673606503326496 D2(433,797) = 0.03338665356509165499 C1(433,797) = 1.208753590139446382 C2(433,797) = 1.244646517846952970 C3(433,797) = 8.845979723090345014 C4(433,797) = 6376 Sum = 4096.743665698493172 Averaged sum = 0.4093059911777893069 logp*logq = 40.55771655383371414 -------------- ************************************* p = 433; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 450186846033321956.7 -------------- Searches starting with [433,809]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(433,809) = 0.7688961691363263286 D2(433,809) = 0.02978699880294098851 C1(433,809) = 1.090075736979297875 C2(433,809) = 1.881651668628564214 C3(433,809) = 7.141550692976316205 C4(433,809) = 6472 Sum = 4221.866261015510372 Averaged sum = 0.4218069998017294807 logp*logq = 40.64843910490519980 -------------- ************************************* p = 433; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 456985743004820195.4 -------------- Searches starting with [433,811]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(433,811) = 0.8110843425666764803 D2(433,811) = 0.02866641248675742248 C1(433,811) = 1.233160518527683051 C2(433,811) = 1.880984587287886299 C3(433,811) = 9.244053664437977767 C4(433,811) = 6488 Sum = 3217.939583482238570 Averaged sum = 0.3215046042044398612 logp*logq = 40.66342858839226055 -------------- ************************************* p = 433; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 492280866399097473.8 -------------- Searches starting with [433,821]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(433,821) = 0.8725347754288564135 D2(433,821) = 0.02124393569866301208 C1(433,821) = 1.389397162311935280 C2(433,821) = 1.722960690435247840 C3(433,821) = 12.25274729781910148 C4(433,821) = 6568 Sum = 2942.851214552925045 Averaged sum = 0.2940205030025901734 logp*logq = 40.73782581518543760 -------------- ************************************* p = 433; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 499606145475726833.8 -------------- Searches starting with [433,823]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(433,823) = 0.6669190342430554003 D2(433,823) = 0.02024813695018804407 C1(433,823) = 0.9204053217154268411 C2(433,823) = 1.722399302325164839 C3(433,823) = 5.258956974853445384 C4(433,823) = 6584 Sum = 4145.528884980881982 Averaged sum = 0.4141801263843422901 logp*logq = 40.75259647387854109 -------------- ************************************* p = 433; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 514530079191214695.0 -------------- Searches starting with [433,827]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(433,827) = 0.5633536114819824905 D2(433,827) = 0.01827189238637448994 C1(433,827) = 0.7704769823133523730 C2(433,827) = 1.721288677353254803 C3(433,827) = 4.013003372321883896 C4(433,827) = 6616 Sum = 4112.157708053380001 Averaged sum = 0.4108460093968808074 logp*logq = 40.78203041143258302 -------------- ************************************* p = 433; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 522130544231790702.3 -------------- Searches starting with [433,829]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(433,829) = 0.6891902728914014404 D2(433,829) = 0.01729134273396283216 C1(433,829) = 1.051157939076508942 C2(433,829) = 1.720739347046292078 C3(433,829) = 6.657489498211696146 C4(433,829) = 6632 Sum = 3496.266958677788805 Averaged sum = 0.3493123147844728549 logp*logq = 40.79669403626258047 -------------- ************************************* p = 433; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 561554670033771866.0 -------------- Searches starting with [433,839]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(433,839) = 0.5319805201757296639 D2(433,839) = 0.01095191633936881320 C1(433,839) = 0.7353113519100627834 C2(433,839) = 1.509827821395254388 C3(433,839) = 3.766399162740978302 C4(433,839) = 6712 Sum = 4146.948798358175441 Averaged sum = 0.4143219900447772445 logp*logq = 40.86948552861276431 -------------- ************************************* p = 433; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 620901719208177463.5 -------------- Searches starting with [433,853]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(433,853) = 0.8385913586866446197 D2(433,853) = 0.006592667858989833651 C1(433,853) = 1.495410887699223542 C2(433,853) = 1.915898367429157690 C3(433,853) = 14.83432613580769096 C4(433,853) = 6824 Sum = 4117.791758933816546 Averaged sum = 0.4114089078762929909 logp*logq = 40.96994920217474756 -------------- ************************************* p = 433; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 638788856168988257.0 -------------- Searches starting with [433,857]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(433,857) = 0.6265346660114445094 D2(433,857) = 0.004542351257493113293 C1(433,857) = 1.117262599201920730 C2(433,857) = 1.914727081859843449 C3(433,857) = 7.500434127971300947 C4(433,857) = 6856 Sum = 3775.118182767606233 Averaged sum = 0.3771723631499256902 logp*logq = 40.99835036615414965 -------------- ************************************* p = 433; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 647892560848385042.4 -------------- Searches starting with [433,859]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(433,859) = 0.6212258163789622599 D2(433,859) = 0.003524540575405376038 C1(433,859) = 0.8858349121985880937 C2(433,859) = 1.914147219644918119 C3(433,859) = 4.941088576453362867 C4(433,859) = 6872 Sum = 3572.900650175500429 Averaged sum = 0.3569687931037566619 logp*logq = 41.01250127635652854 -------------- ************************************* p = 433; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 666425347898474085.0 -------------- Searches starting with [433,863]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(433,863) = 0.8492396151744185324 D2(433,863) = 0.001503385213591556382 C1(433,863) = 1.242782254020600270 C2(433,863) = 1.912998851636112674 C3(433,863) = 9.405861949330494685 C4(433,863) = 6904 Sum = 3516.022162950583256 Averaged sum = 0.3512860588421004352 logp*logq = 41.04070452210246362 -------------- ************************************* p = 433; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 734816102888463841.8 -------------- Searches starting with [433,877]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(433,877) = 0.9128913239609642377 D2(433,877) = 0.1250174932487416243 C1(433,877) = 1.338182997342361937 C2(433,877) = 1.863481368782826000 C3(433,877) = 11.17172968387318015 C4(433,877) = 7016 Sum = 4538.912390257647060 Averaged sum = 0.4534831042319559456 logp*logq = 41.13839666266649226 -------------- ************************************* p = 433; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 755398912482161439.1 -------------- Searches starting with [433,881]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(433,881) = 0.7462303943467903746 D2(433,881) = 0.1464167022503561609 C1(433,881) = 1.035406760323595969 C2(433,881) = 1.885621473642223104 C3(433,881) = 6.471031495842394746 C4(433,881) = 7048 Sum = 4313.641408172376507 Averaged sum = 0.4309762621812745036 logp*logq = 41.16602236552976005 -------------- ************************************* p = 433; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 765869524518811269.5 -------------- Searches starting with [433,883]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(433,883) = 0.7540976045475851381 D2(433,883) = 0.1218882770709121371 C1(433,883) = 1.216022662761723595 C2(433,883) = 1.328648401978086338 C3(433,883) = 8.962710705254482243 C4(433,883) = 7064 Sum = 3680.148240531437990 Averaged sum = 0.3676839085354618833 logp*logq = 41.17978821661651788 -------------- ************************************* p = 433; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 787174719706562171.3 -------------- Searches starting with [433,887]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(433,887) = 0.6590647582320468673 D2(433,887) = 0.1372126470238655662 C1(433,887) = 0.8989056939539544329 C2(433,887) = 1.452007862866263579 C3(433,887) = 5.058948026415826478 C4(433,887) = 7096 Sum = 4089.215632464612297 Averaged sum = 0.4085538647681698768 logp*logq = 41.20722662593915748 -------------- ************************************* p = 433; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 901276696750127752.8 -------------- Searches starting with [433,907]-exponents: u = 37, v = 8 n_start has 122 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(433,907) = 0.8278128820358447995 D2(433,907) = 0.04586710996530996453 C1(433,907) = 1.116875022327887732 C2(433,907) = 1.804129762141412284 C3(433,907) = 7.495193252440622694 C4(433,907) = 7256 Sum = 3845.396836024952045 Averaged sum = 0.3841939090843193170 logp*logq = 41.34258870498527393 -------------- ************************************* p = 433; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 925677841324770307.5 -------------- Searches starting with [433,911]-exponents: u = 55, v = 8 n_start has 169 digits starting right neighbors generation We generated 1740 left neighbors We generated 8270 right neighbors We generated 10009 non-negative rho_i D1(433,911) = 0.6547200529335941325 D2(433,911) = 0.02857777117376993601 C1(433,911) = 0.9493735180925801277 C2(433,911) = 1.787642504161382990 C3(433,911) = 5.541007148691501446 C4(433,911) = 7288 Sum = 3450.968962833535716 Averaged sum = 0.3447865883538351200 logp*logq = 41.36930266548742397 -------------- ************************************* p = 433; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 976138124134689124.3 -------------- Searches starting with [433,919]-exponents: u = 127, v = 8 n_start has 359 digits --- performed 5000 steps in the continued fraction search [433,919]-exponents: u = 39, v = 36 --- starting right neighbors generation We generated 8032 left neighbors We generated 1978 right neighbors We generated 10009 non-negative rho_i D1(433,919) = 0.8798779493191819953 D2(433,919) = 0.01575698191772488179 C1(433,919) = 1.202889335128225659 C2(433,919) = 1.678251362239358366 C3(433,919) = 8.752917031275247283 C4(433,919) = 7352 Sum = 4442.400455599620039 Averaged sum = 0.4438405890298351523 logp*logq = 41.42238049194048254 -------------- ************************************* p = 433; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.042425369476209505 E18 -------------- Searches starting with [433,929]-exponents: u = 9, v = 167 n_start has 520 digits --- performed 5000 steps in the continued fraction search [433,929]-exponents: u = 35, v = 115 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(433,929) = 0.8490002036012844805 D2(433,929) = 0.1615504133187239386 C1(433,929) = 1.141404026898112882 C2(433,929) = 1.494914408839672810 C3(433,929) = 7.834205665722120857 C4(433,929) = 7432 Sum = 4701.353477405408650 Averaged sum = 0.4701823659771385788 logp*logq = 41.48808175798868334 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(433,929) = 0.8490002036012844805 D2(433,929) = 0.1615504133187239386 C1(433,929) = 1.141404026898112882 C2(433,929) = 1.494914408839672810 C3(433,929) = 7.834205665722120857 C4(433,929) = 7432 Sum = 4701.353477405408650 Averaged sum = 0.4701823659771385788 logp*logq = 41.48808175798868334 -------------- ************************************* p = 433; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.098124679791905384 E18 -------------- Searches starting with [433,937]-exponents: u = 9, v = 55 n_start has 188 digits starting right neighbors generation We generated 1246 left neighbors We generated 8764 right neighbors We generated 10009 non-negative rho_i D1(433,937) = 0.5474844639137108913 D2(433,937) = 0.008741932402958184969 C1(433,937) = 0.7867307590113361894 C2(433,937) = 1.487286655509316958 C3(433,937) = 4.132379102608525618 C4(433,937) = 7496 Sum = 3871.459294525209537 Averaged sum = 0.3867978114222409369 logp*logq = 41.54013556225669910 -------------- ************************************* p = 433; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.126893086602163665 E18 -------------- Searches starting with [433,941]-exponents: u = 9, v = 39 n_start has 140 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(433,941) = 0.5799317136825814063 D2(433,941) = 0.02006550710383768672 C1(433,941) = 0.8085592319469925354 C2(433,941) = 1.577577919040483472 C3(433,941) = 4.298303939956357947 C4(433,941) = 7528 Sum = 4154.364759498799371 Averaged sum = 0.4150629193224896964 logp*logq = 41.56599603896878226 -------------- ************************************* p = 433; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.171224394209374934 E18 -------------- Searches starting with [433,947]-exponents: u = 9, v = 31 n_start has 116 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(433,947) = 0.6973481944410664793 D2(433,947) = 0.03826981641707612807 C1(433,947) = 1.051094944815992470 C2(433,947) = 1.651700420474151984 C3(433,947) = 6.656733191132610988 C4(433,947) = 7576 Sum = 2949.899530936378592 Averaged sum = 0.2947247008628612840 logp*logq = 41.60458136628997658 -------------- ************************************* p = 433; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.217003051367865249 E18 -------------- Searches starting with [433,953]-exponents: u = 9, v = 23 n_start has 93 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(433,953) = 0.5266095267555030589 D2(433,953) = 0.05922808423126443627 C1(433,953) = 0.7392717210660652205 C2(433,953) = 1.747595918050525933 C3(433,953) = 3.793396769225779658 C4(433,953) = 7624 Sum = 4063.010041111119758 Averaged sum = 0.4059356620152982074 logp*logq = 41.64292299518172922 -------------- ************************************* p = 433; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.329661611254735133 E18 -------------- Searches starting with [433,967]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(433,967) = 1.080003611753207200 D2(433,967) = 0.1155163818986613422 C1(433,967) = 1.528404523820763250 C2(433,967) = 1.915103466766557924 C3(433,967) = 15.74380880234041405 C4(433,967) = 7736 Sum = 5249.735836094607773 Averaged sum = 0.5245015322304533692 logp*logq = 41.73145615612626603 -------------- ************************************* p = 433; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.363403739449887625 E18 -------------- Searches starting with [433,971]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(433,971) = 0.7964102478558980978 D2(433,971) = 0.1004388940519454376 C1(433,971) = 1.057112520613022847 C2(433,971) = 1.315661279853286842 C3(433,971) = 6.729369341873597091 C4(433,971) = 7768 Sum = 3733.529306638278439 Averaged sum = 0.3730172151701746866 logp*logq = 41.75651599657426781 -------------- ************************************* p = 433; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.415356131677826827 E18 -------------- Searches starting with [433,977]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(433,977) = 0.6546364042724539451 D2(433,977) = 0.1206842416822526540 C1(433,977) = 0.9058072758643566167 C2(433,977) = 1.938767491241675653 C3(433,977) = 5.122309582326334622 C4(433,977) = 7816 Sum = 4183.864860519684678 Averaged sum = 0.4180102768028459065 logp*logq = 41.79391285648567077 -------------- ************************************* p = 433; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.468951793368477501 E18 -------------- Searches starting with [433,983]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(433,983) = 0.7189231278320560767 D2(433,983) = 0.09388791171566452400 C1(433,983) = 1.065820743342102659 C2(433,983) = 1.913115037471230394 C3(433,983) = 6.835889067810359684 C4(433,983) = 7864 Sum = 3537.641874970006510 Averaged sum = 0.3534460860195830263 logp*logq = 41.83108075459544546 -------------- ************************************* p = 433; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.543040660132325784 E18 -------------- Searches starting with [433,991]-exponents: u = 25, v = 7 n_start has 87 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(433,991) = 1.138773112574839249 D2(433,991) = 0.06144883861253284540 C1(433,991) = 1.776807879333822548 C2(433,991) = 1.882190170013222225 C3(433,991) = 24.64164044789111557 C4(433,991) = 7928 Sum = 3270.519930404975170 Averaged sum = 0.3267579109206689150 logp*logq = 41.88028659827618603 -------------- ************************************* p = 433; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.600633242915204464 E18 -------------- Searches starting with [433,997]-exponents: u = 25, v = 7 n_start has 87 digits starting right neighbors generation We generated 397 left neighbors We generated 9613 right neighbors We generated 10009 non-negative rho_i D1(433,997) = 0.5924031914789922605 D2(433,997) = 0.03910606797429607958 C1(433,997) = 0.8059129834569384489 C2(433,997) = 1.860974942785998909 C3(433,997) = 4.277839343066691709 C4(433,997) = 7976 Sum = 3896.341319910871726 Averaged sum = 0.3892837765921542338 logp*logq = 41.91693100166157284 -------------- ************************************* p = 439; q = 443; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 12648584282219003.52 -------------- Searches starting with [439,443]-exponents: u = 1, v = 670 n_start has 1776 digits --- performed 5000 steps in the continued fraction search [439,443]-exponents: u = 331, v = 333 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(439,443) = 0.5902908129406219921 D2(439,443) = 0.2338508976501129172 C1(439,443) = 0.7540567472495669992 C2(439,443) = 1.219335303220686752 C3(439,443) = 3.902564073537140295 C4(439,443) = 3544 Sum = 5653.342860357866822 Averaged sum = 0.5653908251182985120 logp*logq = 37.07632168937223464 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(439,443) = 0.5902908129406219921 D2(439,443) = 0.2338508976501129172 C1(439,443) = 0.7540567472495669992 C2(439,443) = 1.219335303220686752 C3(439,443) = 3.902564073537140295 C4(439,443) = 3544 Sum = 5653.342860357866822 Averaged sum = 0.5653908251182985120 logp*logq = 37.07632168937223464 -------------- ************************************* p = 439; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 13727495346691391.02 -------------- Searches starting with [439,449]-exponents: u = 1, v = 270 n_start has 719 digits --- performed 5000 steps in the continued fraction search [439,449]-exponents: u = 41, v = 211 --- starting right neighbors generation We generated 8207 left neighbors We generated 1803 right neighbors We generated 10009 non-negative rho_i D1(439,449) = 0.7769051686319463690 D2(439,449) = 0.003946500887610531845 C1(439,449) = 1.027326969220661090 C2(439,449) = 1.126906236579229243 C3(439,449) = 6.392273404946237373 C4(439,449) = 3592 Sum = 5131.333635341535498 Averaged sum = 0.5126719587712594163 logp*logq = 37.15817717610438430 -------------- ************************************* p = 439; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 15284757687494404.02 -------------- Searches starting with [439,457]-exponents: u = 1, v = 151 n_start has 405 digits starting right neighbors generation We generated 2600 left neighbors We generated 7410 right neighbors We generated 10009 non-negative rho_i D1(439,457) = 0.5978166422792640484 D2(439,457) = 0.01014197307567631848 C1(439,457) = 0.8126919698746019644 C2(439,457) = 1.231429736958003894 C3(439,457) = 4.338436458222595564 C4(439,457) = 3656 Sum = 4617.382894525734497 Averaged sum = 0.4613230986637760512 logp*logq = 37.26563249716703876 -------------- ************************************* p = 439; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16117093193892611.77 -------------- Searches starting with [439,461]-exponents: u = 1, v = 124 n_start has 333 digits starting right neighbors generation We generated 1784 left neighbors We generated 8226 right neighbors We generated 10009 non-negative rho_i D1(439,461) = 0.5802483117432213730 D2(439,461) = 0.01136946895173751908 C1(439,461) = 0.7972570318743295346 C2(439,461) = 1.270374246136881701 C3(439,461) = 4.219187046061088075 C4(439,461) = 3688 Sum = 4402.572412332564075 Averaged sum = 0.4398613660038529399 logp*logq = 37.31865679276951248 -------------- ************************************* p = 439; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16547255599890726.89 -------------- Searches starting with [439,463]-exponents: u = 1, v = 114 n_start has 307 digits starting right neighbors generation We generated 1532 left neighbors We generated 8478 right neighbors We generated 10009 non-negative rho_i D1(439,463) = 0.6248513052945967659 D2(439,463) = 0.01199250285375973230 C1(439,463) = 0.8626476266380467531 C2(439,463) = 1.288063838485318972 C3(439,463) = 4.747989049629944012 C4(439,463) = 3704 Sum = 4306.157446864231737 Averaged sum = 0.4302285390013219839 logp*logq = 37.34499665820329170 -------------- ************************************* p = 439; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17436406813936277.73 -------------- Searches starting with [439,467]-exponents: u = 1, v = 98 n_start has 265 digits starting right neighbors generation We generated 1133 left neighbors We generated 8877 right neighbors We generated 10009 non-negative rho_i D1(439,467) = 0.5732551230238021515 D2(439,467) = 0.01619929457328340598 C1(439,467) = 0.7985292638234686568 C2(439,467) = 1.323289718027723119 C3(439,467) = 4.228891035622211681 C4(439,467) = 3736 Sum = 4114.583728119235567 Averaged sum = 0.4110883932579913644 logp*logq = 37.39733676085315931 -------------- ************************************* p = 439; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20346975315806681.00 -------------- Searches starting with [439,479]-exponents: u = 1, v = 69 n_start has 188 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(439,479) = 0.6465040102356468284 D2(439,479) = 0.005124264457738389184 C1(439,479) = 0.9203742202445898982 C2(439,479) = 1.392545010354416214 C3(439,479) = 5.269632611199510950 C4(439,479) = 3832 Sum = 4626.834679038945132 Averaged sum = 0.4622674272193970558 logp*logq = 37.55170866262239813 -------------- ************************************* p = 439; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22504449156235413.23 -------------- Searches starting with [439,487]-exponents: u = 1, v = 58 n_start has 159 digits starting right neighbors generation We generated 451 left neighbors We generated 9559 right neighbors We generated 10009 non-negative rho_i D1(439,487) = 0.5527699186750591047 D2(439,487) = 0.001531882513395286849 C1(439,487) = 0.7965601521687085709 C2(439,487) = 1.433442385129330688 C3(439,487) = 4.213881016560164634 C4(439,487) = 3896 Sum = 4433.348970904287203 Averaged sum = 0.4429362544614134481 logp*logq = 37.65248942485015750 -------------- ************************************* p = 439; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23652865344343938.36 -------------- Searches starting with [439,491]-exponents: u = 1, v = 54 n_start has 148 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(439,491) = 0.7272909155196535318 D2(439,491) = 0.03457536156297650480 C1(439,491) = 0.9841974751082507025 C2(439,491) = 1.482472700335646304 C3(439,491) = 5.913330065531393980 C4(439,491) = 3928 Sum = 4139.187960959253168 Averaged sum = 0.4135466041521883473 logp*logq = 37.70226065871885252 -------------- ************************************* p = 439; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26097036096433648.51 -------------- Searches starting with [439,499]-exponents: u = 1, v = 47 n_start has 130 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(439,499) = 1.062565081927605853 D2(439,499) = 0.04475166706159821252 C1(439,499) = 1.481984148238424825 C2(439,499) = 1.528712519076922729 C3(439,499) = 14.52809936716878627 C4(439,499) = 3992 Sum = 5014.105421297464159 Averaged sum = 0.5009596784191691636 logp*logq = 37.80059814326734710 -------------- ************************************* p = 439; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27396104836657328.04 -------------- Searches starting with [439,503]-exponents: u = 1, v = 44 n_start has 122 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(439,503) = 0.6016088002023506780 D2(439,503) = 0.01947535989293770235 C1(439,503) = 0.8224137921718960298 C2(439,503) = 1.523991674620454272 C3(439,503) = 4.415270704276356648 C4(439,503) = 4024 Sum = 4219.840476596067443 Averaged sum = 0.4216046035164419465 logp*logq = 37.84917723895304351 -------------- ************************************* p = 439; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29445759320253121.28 -------------- Searches starting with [439,509]-exponents: u = 1, v = 41 n_start has 114 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(439,509) = 0.7170616384918096120 D2(439,509) = 0.03179044008937932343 C1(439,509) = 1.063495496077493984 C2(439,509) = 1.559518352529152113 C3(439,509) = 6.823694887019010619 C4(439,509) = 4072 Sum = 2819.161081218196416 Averaged sum = 0.2816626117712255386 logp*logq = 37.92132629872317145 -------------- ************************************* p = 439; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33931068258299742.16 -------------- Searches starting with [439,521]-exponents: u = 1, v = 35 n_start has 98 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(439,521) = 0.7512655024552925937 D2(439,521) = 0.03509363810161402837 C1(439,521) = 1.067455598129143914 C2(439,521) = 1.607997748945332611 C3(439,521) = 6.872665551673359819 C4(439,521) = 4168 Sum = 4481.446210846291133 Averaged sum = 0.4477416535963923602 logp*logq = 38.06310745739333968 -------------- ************************************* p = 439; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34731371255426548.64 -------------- Searches starting with [439,523]-exponents: u = 1, v = 34 n_start has 96 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(439,523) = 0.9516924130129133895 D2(439,523) = 0.01399780685028448551 C1(439,523) = 1.297968402233882301 C2(439,523) = 1.596925649721637425 C3(439,523) = 10.42075247413722262 C4(439,523) = 4184 Sum = 4178.786659065661524 Averaged sum = 0.4175029132846100034 logp*logq = 38.08641974419924517 -------------- ************************************* p = 439; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 42671425895927902.82 -------------- Searches starting with [439,541]-exponents: u = 1, v = 29 n_start has 82 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(439,541) = 0.8311115685203912676 D2(439,541) = 0.01625153460104722416 C1(439,541) = 1.104736121348716400 C2(439,541) = 1.658761552779815908 C3(439,541) = 7.351255595393794010 C4(439,541) = 4328 Sum = 3277.192560349431390 Averaged sum = 0.3274245739184165640 logp*logq = 38.29230590837738496 -------------- ************************************* p = 439; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45633342440015004.45 -------------- Searches starting with [439,547]-exponents: u = 1, v = 27 n_start has 77 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(439,547) = 0.9701499077452094586 D2(439,547) = 0.04499859095777633366 C1(439,547) = 1.363438239835058225 C2(439,547) = 1.701850900532972791 C3(439,547) = 11.72849140590588528 C4(439,547) = 4376 Sum = 4817.169245877381780 Averaged sum = 0.4812837691954622620 logp*logq = 38.35941503809901155 -------------- ************************************* p = 439; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50951189028298319.22 -------------- Searches starting with [439,557]-exponents: u = 1, v = 25 n_start has 72 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(439,557) = 0.6188727874697651892 D2(439,557) = 0.03535674726466186349 C1(439,557) = 0.9003508899348333767 C2(439,557) = 1.722635711090095619 C3(439,557) = 5.082501843086477672 C4(439,557) = 4456 Sum = 3954.437750389074175 Averaged sum = 0.3950881956628108877 logp*logq = 38.46964449146703956 -------------- ************************************* p = 439; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54383444872303732.14 -------------- Searches starting with [439,563]-exponents: u = 1, v = 24 n_start has 69 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(439,563) = 0.6695560431379237433 D2(439,563) = 0.03462108922398731498 C1(439,563) = 0.9770587725842431009 C2(439,563) = 1.738684003349760757 C3(439,563) = 5.837592467240191411 C4(439,563) = 4504 Sum = 3917.285337041173896 Averaged sum = 0.3913762950385826652 logp*logq = 38.53483618025688559 -------------- ************************************* p = 439; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58006808010539054.08 -------------- Searches starting with [439,569]-exponents: u = 1, v = 23 n_start has 67 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(439,569) = 0.6686849378192926653 D2(439,569) = 0.02342158390108580013 C1(439,569) = 0.9789444122238680525 C2(439,569) = 1.745273477388278954 C3(439,569) = 5.857503250971852602 C4(439,569) = 4552 Sum = 3867.672280887693023 Averaged sum = 0.3864194505832443823 logp*logq = 38.59933677806072371 -------------- ************************************* p = 439; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59258517549971627.10 -------------- Searches starting with [439,571]-exponents: u = 1, v = 23 n_start has 67 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(439,571) = 0.8214764347100990024 D2(439,571) = 0.05680337296036428322 C1(439,571) = 1.110639543569020821 C2(439,571) = 1.779177832566403918 C3(439,571) = 7.430039684956724334 C4(439,571) = 4568 Sum = 3980.403520611831181 Averaged sum = 0.3976824378671027256 logp*logq = 38.62068592071166991 -------------- ************************************* p = 439; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63149892347394041.84 -------------- Searches starting with [439,577]-exponents: u = 1, v = 22 n_start has 64 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(439,577) = 0.7182792275824021663 D2(439,577) = 0.03243880724346627968 C1(439,577) = 1.004435998697449058 C2(439,577) = 1.773728829031955254 C3(439,577) = 6.133433684357887271 C4(439,577) = 4616 Sum = 4369.585101482116122 Averaged sum = 0.4365656011072151186 logp*logq = 38.68428753899304893 -------------- ************************************* p = 439; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70109505197205894.06 -------------- Searches starting with [439,587]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(439,587) = 0.8360686804694180109 D2(439,587) = 0.05759719681954907118 C1(439,587) = 1.324488496271887095 C2(439,587) = 1.820109462911801177 C3(439,587) = 10.93192886437033743 C4(439,587) = 4696 Sum = 3863.727194109220115 Averaged sum = 0.3860252966439424633 logp*logq = 38.78883477458370282 -------------- ************************************* p = 439; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74584684025490056.10 -------------- Searches starting with [439,593]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(439,593) = 0.6388678976606687275 D2(439,593) = 0.009015424402797033801 C1(439,593) = 0.8985399039841482242 C2(439,593) = 1.793164855115461636 C3(439,593) = 5.065908304871641051 C4(439,593) = 4744 Sum = 3939.751674832460523 Averaged sum = 0.3936209086654471499 logp*logq = 38.85071157307253199 -------------- ************************************* p = 439; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79296107785403064.55 -------------- Searches starting with [439,599]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(439,599) = 0.5994356533076570293 D2(439,599) = 0.09615675259618326118 C1(439,599) = 0.8172369645915346521 C2(439,599) = 1.881835165284629944 C3(439,599) = 4.374188947250493812 C4(439,599) = 4792 Sum = 4090.529484247494441 Averaged sum = 0.4086851318061239326 logp*logq = 38.91196544019563392 -------------- ************************************* p = 439; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80920786260977239.88 -------------- Searches starting with [439,601]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(439,601) = 0.5590059979380207931 D2(439,601) = 0.1304232510064550242 C1(439,601) = 0.8045610323742993462 C2(439,601) = 1.916607904782339590 C3(439,601) = 4.275203163116501790 C4(439,601) = 4808 Sum = 4041.184031087839912 Averaged sum = 0.4037550235875551916 logp*logq = 38.93224712368523496 -------------- ************************************* p = 439; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85962682096294335.32 -------------- Searches starting with [439,607]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(439,607) = 0.5402561919285061339 D2(439,607) = 0.05326583387666866354 C1(439,607) = 0.8659076637661603925 C2(439,607) = 1.862742340445210618 C3(439,607) = 4.776021913852776771 C4(439,607) = 4856 Sum = 3899.054508747550395 Averaged sum = 0.3895548515083974817 logp*logq = 38.99268966787685458 -------------- ************************************* p = 439; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91264445857094393.08 -------------- Searches starting with [439,613]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(439,613) = 0.7221080494234344829 D2(439,613) = 0.1456018691721145631 C1(439,613) = 0.9751393708991632631 C2(439,613) = 1.956583155799246438 C3(439,613) = 5.817394692181145133 C4(439,613) = 4904 Sum = 3796.595279772463504 Averaged sum = 0.3793181416497615650 logp*logq = 39.05253768560613802 -------------- ************************************* p = 439; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94948573184556188.57 -------------- Searches starting with [439,617]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(439,617) = 0.8444437326285531479 D2(439,617) = 0.02423449483158919852 C1(439,617) = 1.148363521503870472 C2(439,617) = 1.859922388643511322 C3(439,617) = 7.953810038261295590 C4(439,617) = 4936 Sum = 4139.849513394424325 Averaged sum = 0.4136126999095238610 logp*logq = 39.09211180503718120 -------------- ************************************* p = 439; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96836729947982157.94 -------------- Searches starting with [439,619]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(439,619) = 0.6212736098539398473 D2(439,619) = 0.04863783880761891737 C1(439,619) = 0.8513897063125789927 C2(439,619) = 1.884824696469574754 C3(439,619) = 4.652442000759085560 C4(439,619) = 4952 Sum = 3955.740244542043880 Averaged sum = 0.3952183279590412509 logp*logq = 39.11180275883483927 -------------- ************************************* p = 439; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108837107911730004.4 -------------- Searches starting with [439,631]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(439,631) = 0.5755574821580110078 D2(439,631) = 0.02279284220675274108 C1(439,631) = 0.8193774912521600334 C2(439,631) = 1.887902976096095532 C3(439,631) = 4.391128973081243898 C4(439,631) = 5048 Sum = 3858.615451380941769 Averaged sum = 0.3855145820142813237 logp*logq = 39.22862873654812283 -------------- ************************************* p = 439; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 119763928467795457.2 -------------- Searches starting with [439,641]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(439,641) = 0.7676397963142243230 D2(439,641) = 0.1067201898129310240 C1(439,641) = 1.256940705945856901 C2(439,641) = 1.281181511134434536 C3(439,641) = 9.676630123663289294 C4(439,641) = 5128 Sum = 3717.076663439913458 Averaged sum = 0.3713734302567602615 logp*logq = 39.32429893732136029 -------------- ************************************* p = 439; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122055686165295706.2 -------------- Searches starting with [439,643]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(439,643) = 0.8221115169180815226 D2(439,643) = 0.1114420894533696294 C1(439,643) = 1.346083111961690498 C2(439,643) = 1.249440650242880892 C3(439,643) = 11.36663282715277690 C4(439,643) = 5144 Sum = 3654.457662740643389 Averaged sum = 0.3651171608293179527 logp*logq = 39.34325377948291086 -------------- ************************************* p = 439; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126749263930412777.9 -------------- Searches starting with [439,647]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(439,647) = 0.6451541914890409762 D2(439,647) = 0.01743008646016213518 C1(439,647) = 0.9429560648936155084 C2(439,647) = 1.915045894190029811 C3(439,647) = 5.488953882284752457 C4(439,647) = 5176 Sum = 3635.040721311435223 Averaged sum = 0.3631772126397677313 logp*logq = 39.38098723010998962 -------------- ************************************* p = 439; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134071849154422913.1 -------------- Searches starting with [439,653]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(439,653) = 0.7740907848252556750 D2(439,653) = 0.08194105278092810633 C1(439,653) = 1.133256942843627319 C2(439,653) = 1.981004588989381774 C3(439,653) = 7.739773652208870933 C4(439,653) = 5224 Sum = 3753.686154615327302 Averaged sum = 0.3750310874827982118 logp*logq = 39.43715223888389881 -------------- ************************************* p = 439; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141744641752139238.8 -------------- Searches starting with [439,659]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(439,659) = 1.031271003717466922 D2(439,659) = 0.09321936989899875876 C1(439,659) = 1.702921971649741070 C2(439,659) = 1.206432673223668482 C3(439,659) = 21.65078931120080163 C4(439,659) = 5272 Sum = 3873.484777126845126 Averaged sum = 0.3870001775528869143 logp*logq = 39.49280353611370687 -------------- ************************************* p = 439; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 144382356244594078.4 -------------- Searches starting with [439,661]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(439,661) = 0.6302810872074588593 D2(439,661) = 0.1286053623528126909 C1(439,661) = 1.040773480347869035 C2(439,661) = 1.421017958735029561 C3(439,661) = 6.549383633586113628 C4(439,661) = 5288 Sum = 4167.076645283865302 Averaged sum = 0.4163329648600125189 logp*logq = 39.51124142723222545 -------------- ************************************* p = 439; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161085332710032008.2 -------------- Searches starting with [439,673]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(439,673) = 0.7083236339704248219 D2(439,673) = 0.08053659181001286831 C1(439,673) = 1.019462218685153464 C2(439,673) = 2.016117707103319934 C3(439,673) = 6.302133651179523669 C4(439,673) = 5384 Sum = 3728.395891042296169 Averaged sum = 0.3725043352025473243 logp*logq = 39.62071063631833451 -------------- ************************************* p = 439; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166999470163982196.4 -------------- Searches starting with [439,677]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(439,677) = 0.8634623431659449296 D2(439,677) = 0.08053971429657347972 C1(439,677) = 1.439271138437648495 C2(439,677) = 1.211504279169920094 C3(439,677) = 13.44968762447844470 C4(439,677) = 5416 Sum = 3358.811340123416878 Averaged sum = 0.3355791128108119570 logp*logq = 39.65676703465164215 -------------- ************************************* p = 439; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 176210225902293518.5 -------------- Searches starting with [439,683]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(439,683) = 0.6038499494099433223 D2(439,683) = 0.1152348601692801865 C1(439,683) = 0.8712710971137495204 C2(439,683) = 1.803726631854282153 C3(439,683) = 4.822502356512026509 C4(439,683) = 5464 Sum = 3627.394923810153942 Averaged sum = 0.3624133203926619984 logp*logq = 39.71045414249659500 -------------- ************************************* p = 439; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189148330631520762.7 -------------- Searches starting with [439,691]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(439,691) = 0.5820756689410580222 D2(439,691) = 0.02465435253289012425 C1(439,691) = 0.8278502801845610149 C2(439,691) = 2.000004298646319222 C3(439,691) = 4.458828462443942908 C4(439,691) = 5528 Sum = 3927.992163228673303 Averaged sum = 0.3924460149094488263 logp*logq = 39.78130792031779173 -------------- ************************************* p = 439; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 206428477798886687.5 -------------- Searches starting with [439,701]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(439,701) = 1.766355046982010277 D2(439,701) = 0.06148679614829611238 C1(439,701) = 2.974965152887821210 C2(439,701) = 1.089765139157931219 C3(439,701) = 215.2988010437035250 C4(439,701) = 5608 Sum = 1414.620108738332626 Averaged sum = 0.1413348095452425443 logp*logq = 39.86873039283239458 -------------- ************************************* p = 439; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 221184833750851338.6 -------------- Searches starting with [439,709]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(439,709) = 0.7657492571493897208 D2(439,709) = 0.09684224935660906508 C1(439,709) = 1.032597269942555904 C2(439,709) = 1.818864784906644211 C3(439,709) = 6.453397890705807906 C4(439,709) = 5672 Sum = 3854.580629382110453 Averaged sum = 0.3851114626218513790 logp*logq = 39.93777509869494958 -------------- ************************************* p = 439; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 240860318802636860.8 -------------- Searches starting with [439,719]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(439,719) = 1.277554106355644377 D2(439,719) = 0.01695037370094035836 C1(439,719) = 1.902929989517459244 C2(439,719) = 2.038926481556564769 C3(439,719) = 31.06883669442136460 C4(439,719) = 5752 Sum = 4398.702378370725118 Averaged sum = 0.4394747105975347306 logp*logq = 40.02299357034355831 -------------- ************************************* p = 439; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 257634751606870281.8 -------------- Searches starting with [439,727]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(439,727) = 0.8418322119022241837 D2(439,727) = 0.05855543727843523827 C1(439,727) = 1.126377090404960095 C2(439,727) = 1.262667418860504029 C3(439,727) = 7.644215269437362420 C4(439,727) = 5816 Sum = 3928.707371285388348 Averaged sum = 0.3925174714042749873 logp*logq = 40.09031928534815477 -------------- ************************************* p = 439; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 270846639879070283.3 -------------- Searches starting with [439,733]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(439,733) = 0.6098417967091068082 D2(439,733) = 0.08125043451855437036 C1(439,733) = 1.039175202865304948 C2(439,733) = 1.839648884619149045 C3(439,733) = 6.530508834047623453 C4(439,733) = 5864 Sum = 4189.090106300333063 Averaged sum = 0.4185323315316548170 logp*logq = 40.14032915110072035 -------------- ************************************* p = 439; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 284619991754497275.7 -------------- Searches starting with [439,739]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(439,739) = 0.6713484504561160823 D2(439,739) = 0.07714698304656091117 C1(439,739) = 1.004624563114810588 C2(439,739) = 1.836988430788616613 C3(439,739) = 6.135522468917700995 C4(439,739) = 5912 Sum = 3266.123316400809656 Averaged sum = 0.3263186448597072291 logp*logq = 40.18993132319598326 -------------- ************************************* p = 439; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294123518244733658.5 -------------- Searches starting with [439,743]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(439,743) = 0.5533957239994461293 D2(439,743) = 0.07445716697438482168 C1(439,743) = 0.7765844861430686365 C2(439,743) = 1.835253997734777194 C3(439,743) = 4.064591034840033273 C4(439,743) = 5944 Sum = 3899.854674822057524 Averaged sum = 0.3896347961656566614 logp*logq = 40.22277620410356234 -------------- ************************************* p = 439; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 313927606563305590.2 -------------- Searches starting with [439,751]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(439,751) = 1.224760953684978183 D2(439,751) = 0.06040559692810363775 C1(439,751) = 1.837238267536261301 C2(439,751) = 1.599455898556736709 C3(439,751) = 27.59357120959094589 C4(439,751) = 6008 Sum = 4162.952477165179449 Averaged sum = 0.4159209188895173793 logp*logq = 40.28793880189150026 -------------- ************************************* p = 439; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 329501342962038323.7 -------------- Searches starting with [439,757]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(439,757) = 1.114563667582359683 D2(439,757) = 0.02814780582358702146 C1(439,757) = 1.583655235667858672 C2(439,757) = 2.104592707071444706 C3(439,757) = 17.45588191129234797 C4(439,757) = 6056 Sum = 5530.317416110643428 Averaged sum = 0.5525344605965274680 logp*logq = 40.33635682460226549 -------------- ************************************* p = 439; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 340238341681874577.3 -------------- Searches starting with [439,761]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(439,761) = 0.7910824945638978771 D2(439,761) = 0.04354131027616349160 C1(439,761) = 1.366054984163916697 C2(439,761) = 1.267689880786999707 C3(439,761) = 11.78404167896209414 C4(439,761) = 6088 Sum = 3995.863159892694103 Averaged sum = 0.3992270116787585276 logp*logq = 40.36842277187838075 -------------- ************************************* p = 439; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 362591083977507506.6 -------------- Searches starting with [439,769]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(439,769) = 0.6909884077775123001 D2(439,769) = 0.05894275501138937762 C1(439,769) = 0.9733585130091130861 C2(439,769) = 1.860750059406875593 C3(439,769) = 5.798717311261007719 C4(439,769) = 6152 Sum = 4379.329832870939365 Averaged sum = 0.4375391980088859392 logp*logq = 40.43205210378821212 -------------- ************************************* p = 439; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 374219518468797873.2 -------------- Searches starting with [439,773]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(439,773) = 0.8229580953125211624 D2(439,773) = 0.05645021446400284815 C1(439,773) = 1.208934156318176668 C2(439,773) = 1.859191828766172846 C3(439,773) = 8.873117072892887552 C4(439,773) = 6184 Sum = 3596.535723582859539 Averaged sum = 0.3593301752006054091 logp*logq = 40.46361896791627786 -------------- ************************************* p = 439; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 417403954546967290.0 -------------- Searches starting with [439,787]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(439,787) = 0.6249116439660980435 D2(439,787) = 0.04410251710941501386 C1(439,787) = 0.8824250804398248506 C2(439,787) = 1.704883187364258828 C3(439,787) = 4.920618323005408356 C4(439,787) = 6296 Sum = 4197.417744421097354 Averaged sum = 0.4193643465302325262 logp*logq = 40.57283086374696783 -------------- ************************************* p = 439; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 450735177305391752.5 -------------- Searches starting with [439,797]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(439,797) = 0.8193849944420176986 D2(439,797) = 0.03521189705457636290 C1(439,797) = 1.186957585470474776 C2(439,797) = 1.547552205761834316 C3(439,797) = 8.527890958520903481 C4(439,797) = 6376 Sum = 4632.219459672431044 Averaged sum = 0.4628054210882636671 logp*logq = 40.64965637193957582 -------------- ************************************* p = 439; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 493640829027656077.6 -------------- Searches starting with [439,809]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(439,809) = 0.8430130152813195053 D2(439,809) = 0.03218855621541316594 C1(439,809) = 1.477847278925715847 C2(439,809) = 1.237284294666010918 C3(439,809) = 14.41997694023370162 C4(439,809) = 6472 Sum = 4011.741319329075120 Averaged sum = 0.4008133998730217924 logp*logq = 40.74058458091176062 -------------- ************************************* p = 439; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 501113012237171539.4 -------------- Searches starting with [439,811]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(439,811) = 0.6915982684952225070 D2(439,811) = 0.03493807890701696090 C1(439,811) = 1.212409062111961459 C2(439,811) = 1.886786004177414037 C3(439,811) = 8.928969082437334028 C4(439,811) = 6488 Sum = 4184.329270637377997 Averaged sum = 0.4180566760552880404 logp*logq = 40.75560804388540001 -------------- ************************************* p = 439; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 539907336619075341.4 -------------- Searches starting with [439,821]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(439,821) = 0.6223906253555695354 D2(439,821) = 0.02933638526419232171 C1(439,821) = 0.8827019166673805335 C2(439,821) = 1.883434789758845219 C3(439,821) = 4.923078732803729514 C4(439,821) = 6568 Sum = 4137.375685416949319 Averaged sum = 0.4133655395560944469 logp*logq = 40.83017392089067335 -------------- ************************************* p = 439; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 547959658360794493.2 -------------- Searches starting with [439,823]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(439,823) = 0.8354649371971163801 D2(439,823) = 0.02823389003565791435 C1(439,823) = 1.111792906734518740 C2(439,823) = 1.882779037019413295 C3(439,823) = 7.445530198929080752 C4(439,823) = 6584 Sum = 3313.088838043951705 Averaged sum = 0.3310109739278600964 logp*logq = 40.84497806301896346 -------------- ************************************* p = 439; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 564365634242613267.4 -------------- Searches starting with [439,827]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(439,827) = 0.6447924291748988529 D2(439,827) = 0.02604624899973787601 C1(439,827) = 0.9380585327470276116 C2(439,827) = 1.881481571427881442 C3(439,827) = 5.440625283929412827 C4(439,827) = 6616 Sum = 3958.872393056286822 Averaged sum = 0.3955312611705751645 logp*logq = 40.87447872402528027 -------------- ************************************* p = 439; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 572721290716478148.9 -------------- Searches starting with [439,829]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(439,829) = 1.034812481550889651 D2(439,829) = 0.02496098396420908589 C1(439,829) = 1.468961794461916487 C2(439,829) = 1.880839750123020586 C3(439,829) = 14.19045589244361455 C4(439,829) = 6632 Sum = 4434.454329858225179 Averaged sum = 0.4430466909639549585 logp*logq = 40.88917558965663923 -------------- ************************************* p = 439; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 616066983634024693.2 -------------- Searches starting with [439,839]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(439,839) = 0.6783684051507470110 D2(439,839) = 0.01800241378529926800 C1(439,839) = 0.9883872434901290190 C2(439,839) = 1.723072961844669270 C3(439,839) = 5.958237921627769522 C4(439,839) = 6712 Sum = 4002.821703484455486 Averaged sum = 0.3999222403321466166 logp*logq = 40.96213209219810066 -------------- ************************************* p = 439; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 681330232001273750.3 -------------- Searches starting with [439,853]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(439,853) = 0.6062216842811796111 D2(439,853) = 0.009710715683920769164 C1(439,853) = 0.8725109168080457624 C2(439,853) = 1.471814113918971053 C3(439,853) = 4.833311057661726602 C4(439,853) = 6824 Sum = 3489.219140038369677 Averaged sum = 0.3486081666538485041 logp*logq = 41.06282350569858058 -------------- ************************************* p = 439; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 701003343779743260.0 -------------- Searches starting with [439,857]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(439,857) = 0.6612287537414378940 D2(439,857) = 0.007545887058693217286 C1(439,857) = 1.180018087235070344 C2(439,857) = 1.367290006703818981 C3(439,857) = 8.421695051950162156 C4(439,857) = 6856 Sum = 3769.136812660563072 Averaged sum = 0.3765747639784756791 logp*logq = 41.09128905194779796 -------------- ************************************* p = 439; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 711016506746818794.0 -------------- Searches starting with [439,859]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(439,859) = 0.7603488946240363313 D2(439,859) = 0.006436613486316122488 C1(439,859) = 1.356816843525536165 C2(439,859) = 1.291761918306070481 C3(439,859) = 11.58909413156254792 C4(439,859) = 6872 Sum = 4137.243375366598182 Averaged sum = 0.4133523204482563874 logp*logq = 41.10547204068468487 -------------- ************************************* p = 439; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 731401696422769094.8 -------------- Searches starting with [439,863]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(439,863) = 1.624633718134622821 D2(439,863) = 0.003985847983169916812 C1(439,863) = 2.898723333862156779 C2(439,863) = 1.017457799360724519 C3(439,863) = 187.6077962344844925 C4(439,863) = 6904 Sum = 914.5915997196492473 Averaged sum = 0.09137692074329595836 logp*logq = 41.13373922004188317 -------------- ************************************* p = 439; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 806639153667865250.2 -------------- Searches starting with [439,877]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(439,877) = 0.6394001898960416285 D2(439,877) = 0.0004928799338601624409 C1(439,877) = 0.9360719939571379482 C2(439,877) = 1.914509175627135610 C3(439,877) = 5.421143736869133130 C4(439,877) = 7016 Sum = 4009.457546849214238 Averaged sum = 0.4005852279797396581 logp*logq = 41.23165281778834237 -------------- ************************************* p = 439; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 829285718473802218.1 -------------- Searches starting with [439,881]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(439,881) = 0.5874062241982829594 D2(439,881) = 0.07434936479350382918 C1(439,881) = 0.8002460436945386954 C2(439,881) = 1.711264196206812814 C3(439,881) = 4.242021217523730334 C4(439,881) = 7048 Sum = 3907.898606626438769 Averaged sum = 0.3904384660432049923 logp*logq = 41.25934114503759905 -------------- ************************************* p = 439; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 840806715748144925.3 -------------- Searches starting with [439,883]-exponents: u = 10, v = 8 n_start has 50 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(439,883) = 0.6616408305796727149 D2(439,883) = 0.08282497593280159785 C1(439,883) = 0.8956340573317638175 C2(439,883) = 1.720082284584134099 C3(439,883) = 5.039396006012408541 C4(439,883) = 7064 Sum = 3836.366303227565580 Averaged sum = 0.3832916678217170127 logp*logq = 41.27313820177281366 -------------- ************************************* p = 439; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 864250291421228971.9 -------------- Searches starting with [439,887]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(439,887) = 0.6533529410369891325 D2(439,887) = 0.1067275537703341923 C1(439,887) = 1.003719677886515322 C2(439,887) = 1.846778261609661391 C3(439,887) = 6.125505263687092255 C4(439,887) = 7096 Sum = 3711.071134221628620 Averaged sum = 0.3707734173465509661 logp*logq = 41.30063881090788327 -------------- ************************************* p = 439; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 989828153534569336.3 -------------- Searches starting with [439,907]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(439,907) = 0.8596206273186089807 D2(439,907) = 0.1137648097226527563 C1(439,907) = 1.182736752183271086 C2(439,907) = 1.871479176413377770 C3(439,907) = 8.463140605875867560 C4(439,907) = 7256 Sum = 4137.789898511741251 Averaged sum = 0.4134069236199162005 logp*logq = 41.43630774068385804 -------------- ************************************* p = 439; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.016688304521848021 E18 -------------- Searches starting with [439,911]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(439,911) = 1.172932755909662339 D2(439,911) = 0.09273158828434306429 C1(439,911) = 1.808555753288743195 C2(439,911) = 1.851247914471496132 C3(439,911) = 26.20078906446364226 C4(439,911) = 7288 Sum = 4720.917024254268626 Averaged sum = 0.4716672019436775528 logp*logq = 41.46308225875379410 -------------- ************************************* p = 439; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.072238729006286511 E18 -------------- Searches starting with [439,919]-exponents: u = 37, v = 8 n_start has 122 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(439,919) = 0.7368145794880439018 D2(439,919) = 0.05459309390737170161 C1(439,919) = 0.9999545935625888057 C2(439,919) = 1.814702684426959710 C3(439,919) = 6.084000550679230908 C4(439,919) = 7352 Sum = 3800.308601324867755 Averaged sum = 0.3796891399065708617 logp*logq = 41.51628040671713966 -------------- ************************************* p = 439; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.145222494319543425 E18 -------------- Searches starting with [439,929]-exponents: u = 73, v = 8 n_start has 217 digits starting right neighbors generation We generated 2926 left neighbors We generated 7084 right neighbors We generated 10009 non-negative rho_i D1(439,929) = 0.5190060888338289650 D2(439,929) = 0.01251899272234545864 C1(439,929) = 0.7316833543176765346 C2(439,929) = 1.774600505317469833 C3(439,929) = 3.748040468144164223 C4(439,929) = 7432 Sum = 4175.483350579619812 Averaged sum = 0.4171728794664421833 logp*logq = 41.58213061020469995 -------------- ************************************* p = 439; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.206556869311392380 E18 -------------- Searches starting with [439,937]-exponents: u = 352, v = 8 n_start has 954 digits --- performed 5000 steps in the continued fraction search [439,937]-exponents: u = 40, v = 271 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(439,937) = 0.5375285458445272534 D2(439,937) = 0.3071390067836016232 C1(439,937) = 0.7030640584388547456 C2(439,937) = 1.479483944701968098 C3(439,937) = 3.559264871160855839 C4(439,937) = 7496 Sum = 5138.514052667218020 Averaged sum = 0.5139027955462764297 logp*logq = 41.63430241463896687 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(439,937) = 0.5375285458445272534 D2(439,937) = 0.3071390067836016232 C1(439,937) = 0.7030640584388547456 C2(439,937) = 1.479483944701968098 C3(439,937) = 3.559264871160855839 C4(439,937) = 7496 Sum = 5138.514052667218020 Averaged sum = 0.5139027955462764297 logp*logq = 41.63430241463896687 -------------- ************************************* p = 439; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.238238543500599849 E18 -------------- Searches starting with [439,941]-exponents: u = 9, v = 399 n_start has 1211 digits --- performed 5000 steps in the continued fraction search [439,941]-exponents: u = 415, v = 27 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(439,941) = 0.5823320324182128278 D2(439,941) = 0.3640363808075393490 C1(439,941) = 0.7545179705851852558 C2(439,941) = 1.495725903491241761 C3(439,941) = 3.905815683675143649 C4(439,941) = 7528 Sum = 5284.881364346174308 Averaged sum = 0.5285409905336707978 logp*logq = 41.66022151416631341 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(439,941) = 0.5823320324182128278 D2(439,941) = 0.3640363808075393490 C1(439,941) = 0.7545179705851852558 C2(439,941) = 1.495725903491241761 C3(439,941) = 3.905815683675143649 C4(439,941) = 7528 Sum = 5284.881364346174308 Averaged sum = 0.5285409905336707978 logp*logq = 41.66022151416631341 -------------- ************************************* p = 439; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.287062688223952913 E18 -------------- Searches starting with [439,947]-exponents: u = 9, v = 87 n_start has 283 digits starting right neighbors generation We generated 4908 left neighbors We generated 5102 right neighbors We generated 10009 non-negative rho_i D1(439,947) = 0.5875932810301709652 D2(439,947) = 0.02183485230592625247 C1(439,947) = 0.8146598713064622887 C2(439,947) = 1.708671871935552823 C3(439,947) = 4.353880634159263317 C4(439,947) = 7576 Sum = 4285.694025547553668 Averaged sum = 0.4281840369215259934 logp*logq = 41.69889431011929712 -------------- ************************************* p = 439; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.337485262870669272 E18 -------------- Searches starting with [439,953]-exponents: u = 9, v = 47 n_start has 164 digits starting right neighbors generation We generated 1021 left neighbors We generated 8989 right neighbors We generated 10009 non-negative rho_i D1(439,953) = 0.5397861488936546649 D2(439,953) = 0.01189560601862147042 C1(439,953) = 0.7759586975854219006 C2(439,953) = 1.527895942509260844 C3(439,953) = 4.060000583300716699 C4(439,953) = 7624 Sum = 4159.216254383944757 Averaged sum = 0.4155476325690823016 logp*logq = 41.73732285520569082 -------------- ************************************* p = 439; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.461590223351292527 E18 -------------- Searches starting with [439,967]-exponents: u = 9, v = 23 n_start has 93 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(439,967) = 0.6255005494640749253 D2(439,967) = 0.05564216607764227370 C1(439,967) = 0.8515253985950789767 C2(439,967) = 1.746063163721523730 C3(439,967) = 4.653582107763421138 C4(439,967) = 7736 Sum = 4082.319911455891816 Averaged sum = 0.4078649127241374578 logp*logq = 41.82605671094779527 -------------- ************************************* p = 439; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.498765374264707583 E18 -------------- Searches starting with [439,971]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(439,971) = 1.065611866830304422 D2(439,971) = 0.07309828882853961215 C1(439,971) = 1.656209075888137030 C2(439,971) = 1.873095850905005019 C3(439,971) = 19.89941549062463459 C4(439,971) = 7768 Sum = 4200.153128277117636 Averaged sum = 0.4196376389526543746 logp*logq = 41.85117335925798262 -------------- ************************************* p = 439; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.556007615127977424 E18 -------------- Searches starting with [439,977]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(439,977) = 0.6757011778552203399 D2(439,977) = 0.09491295348015626622 C1(439,977) = 1.000111503488456453 C2(439,977) = 1.895933131820563273 C3(439,977) = 6.085724630942358151 C4(439,977) = 7816 Sum = 3789.590987948373924 Averaged sum = 0.3786183422867792910 logp*logq = 41.88865499367816299 -------------- ************************************* p = 439; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.615065435793553356 E18 -------------- Searches starting with [439,983]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(439,983) = 0.5966328087494581153 D2(439,983) = 0.1181402575684025013 C1(439,983) = 0.8337681304895207834 C2(439,983) = 1.920176675895313710 C3(439,983) = 4.506731555856255280 C4(439,983) = 7864 Sum = 4155.549249700823060 Averaged sum = 0.4151812618344313178 logp*logq = 41.92590714726585775 -------------- ************************************* p = 439; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.696713019074029763 E18 -------------- Searches starting with [439,991]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(439,991) = 0.6674347999568192983 D2(439,991) = 0.1099634066985503550 C1(439,991) = 1.092823411506745893 C2(439,991) = 1.416109856358473354 C3(439,991) = 7.194809175532369184 C4(439,991) = 7928 Sum = 4025.719390304330431 Averaged sum = 0.4022099500753652144 logp*logq = 41.97522453510396596 -------------- ************************************* p = 439; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.760187492789751406 E18 -------------- Searches starting with [439,997]-exponents: u = 17, v = 7 n_start has 66 digits starting right neighbors generation We generated 186 left neighbors We generated 9824 right neighbors We generated 10009 non-negative rho_i D1(439,997) = 0.6929027679544813971 D2(439,997) = 0.09952144852780854263 C1(439,997) = 0.9640138809779528700 C2(439,997) = 1.920803883736525618 C3(439,997) = 5.701690571558622469 C4(439,997) = 7976 Sum = 4202.704022329906910 Averaged sum = 0.4198924989839051763 logp*logq = 42.01195200726314279 -------------- ************************************* p = 443; q = 449; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 14509355652967267.80 -------------- Searches starting with [443,449]-exponents: u = 1, v = 452 n_start has 1202 digits --- performed 5000 steps in the continued fraction search [443,449]-exponents: u = 83, v = 359 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(443,449) = 0.5496581292908523982 D2(443,449) = 0.1356828090136223230 C1(443,449) = 0.7120811468303346875 C2(443,449) = 1.175161580185667792 C3(443,449) = 3.621532633497065840 C4(443,449) = 3592 Sum = 5438.322294713677130 Averaged sum = 0.5438866181331810311 logp*logq = 37.21357005371994869 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(443,449) = 0.5496581292908523982 D2(443,449) = 0.1356828090136223230 C1(443,449) = 0.7120811468303346875 C2(443,449) = 1.175161580185667792 C3(443,449) = 3.621532633497065840 C4(443,449) = 3592 Sum = 5438.322294713677130 Averaged sum = 0.5438866181331810311 logp*logq = 37.21357005371994869 -------------- ************************************* p = 443; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 16157901176071740.90 -------------- Searches starting with [443,457]-exponents: u = 1, v = 195 n_start has 522 digits starting right neighbors generation We generated 4277 left neighbors We generated 5733 right neighbors We generated 10009 non-negative rho_i D1(443,457) = 0.7556458190799138125 D2(443,457) = 0.003855109652144618870 C1(443,457) = 1.014130811540863913 C2(443,457) = 1.180684109318737531 C3(443,457) = 6.251189485444452134 C4(443,457) = 3656 Sum = 4978.303401041983715 Averaged sum = 0.4973826956780880922 logp*logq = 37.32118556185046052 -------------- ************************************* p = 443; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17039130746108842.45 -------------- Searches starting with [443,461]-exponents: u = 1, v = 152 n_start has 408 digits starting right neighbors generation We generated 2618 left neighbors We generated 7392 right neighbors We generated 10009 non-negative rho_i D1(443,461) = 1.280741046018782066 D2(443,461) = 0.004863308991249918917 C1(443,461) = 1.740264700022442276 C2(443,461) = 1.225848521012457940 C3(443,461) = 23.22120041948286113 C4(443,461) = 3688 Sum = 5367.112146722685241 Averaged sum = 0.5362286089242367110 logp*logq = 37.37428890245837246 -------------- ************************************* p = 443; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17494589096921483.37 -------------- Searches starting with [443,463]-exponents: u = 1, v = 137 n_start has 368 digits starting right neighbors generation We generated 2103 left neighbors We generated 7907 right neighbors We generated 10009 non-negative rho_i D1(443,463) = 1.321179358660314972 D2(443,463) = 0.009481963322785938069 C1(443,463) = 1.805056747409176659 C2(443,463) = 1.249502551623618443 C3(443,463) = 26.10586674781997765 C4(443,463) = 3704 Sum = 5542.271582245635796 Averaged sum = 0.5537288023024913374 logp*logq = 37.40066803356806115 -------------- ************************************* p = 443; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18436082805594350.94 -------------- Searches starting with [443,467]-exponents: u = 1, v = 115 n_start has 310 digits starting right neighbors generation We generated 1546 left neighbors We generated 8464 right neighbors We generated 10009 non-negative rho_i D1(443,467) = 0.5529455843828372984 D2(443,467) = 0.01066448049814254452 C1(443,467) = 0.7631677248119376346 C2(443,467) = 1.285862318366855143 C3(443,467) = 3.971813217868486840 C4(443,467) = 3736 Sum = 4310.193228529514072 Averaged sum = 0.4306317542741047129 logp*logq = 37.45308616127515182 -------------- ************************************* p = 443; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21518473424237632.96 -------------- Searches starting with [443,479]-exponents: u = 1, v = 77 n_start has 210 digits starting right neighbors generation We generated 674 left neighbors We generated 9336 right neighbors We generated 10009 non-negative rho_i D1(443,479) = 1.191892216415012499 D2(443,479) = 0.02348964743918363146 C1(443,479) = 1.684867142511802124 C2(443,479) = 1.383163930054814523 C3(443,479) = 21.00896641525776973 C4(443,479) = 3832 Sum = 6133.578505697034052 Averaged sum = 0.6128063248773138227 logp*logq = 37.60768819015265699 -------------- ************************************* p = 443; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23803741984549496.02 -------------- Searches starting with [443,487]-exponents: u = 1, v = 64 n_start has 175 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(443,487) = 0.5668557860162331452 D2(443,487) = 0.03280539668887134346 C1(443,487) = 0.8122718333163378320 C2(443,487) = 1.438137449821610197 C3(443,487) = 4.340394917055553979 C4(443,487) = 3896 Sum = 4076.282965538132899 Averaged sum = 0.4072617609689412428 logp*logq = 37.70861918947093961 -------------- ************************************* p = 443; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25020318230226269.25 -------------- Searches starting with [443,491]-exponents: u = 1, v = 59 n_start has 162 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(443,491) = 0.6300771967390083904 D2(443,491) = 0.01841140068973946111 C1(443,491) = 0.9081962482974470885 C2(443,491) = 1.446699903158912307 C3(443,491) = 5.161995401505324243 C4(443,491) = 3928 Sum = 3389.128566391141921 Averaged sum = 0.3386081093407075553 logp*logq = 37.75846461890238783 -------------- ************************************* p = 443; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27609841999931069.85 -------------- Searches starting with [443,499]-exponents: u = 1, v = 51 n_start has 141 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(443,499) = 0.6552602555457028815 D2(443,499) = 0.02769533030735447434 C1(443,499) = 0.9549709889001810851 C2(443,499) = 1.493959224910636387 C3(443,499) = 5.617328054565829458 C4(443,499) = 3992 Sum = 3161.322049840053655 Averaged sum = 0.3158479418363526481 logp*logq = 37.85694869826958951 -------------- ************************************* p = 443; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28986314866445042.15 -------------- Searches starting with [443,503]-exponents: u = 1, v = 47 n_start has 130 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(443,503) = 0.9965695754075458313 D2(443,503) = 0.02271124531850387057 C1(443,503) = 1.459343897175152358 C2(443,503) = 1.507759613766343694 C3(443,503) = 13.97648149983036903 C4(443,503) = 4024 Sum = 5541.752016057177802 Averaged sum = 0.5536768924025554802 logp*logq = 37.90560021235969902 -------------- ************************************* p = 443; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31158292825166947.93 -------------- Searches starting with [443,509]-exponents: u = 1, v = 43 n_start has 120 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(443,509) = 0.7235088524807486095 D2(443,509) = 0.005809342772667348394 C1(443,509) = 1.066998683341365894 C2(443,509) = 1.518896720466438934 C3(443,509) = 6.877920703376937466 C4(443,509) = 4072 Sum = 4513.218731132995477 Averaged sum = 0.4509160486694970004 logp*logq = 37.97785682703003058 -------------- ************************************* p = 443; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35912051964579332.41 -------------- Searches starting with [443,521]-exponents: u = 1, v = 37 n_start has 104 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(443,521) = 0.6070347427718338423 D2(443,521) = 0.04515438836169961189 C1(443,521) = 0.8595936126138475223 C2(443,521) = 1.600267607483547409 C3(443,521) = 4.727927145927476944 C4(443,521) = 4168 Sum = 4287.864644360472200 Averaged sum = 0.4284009036227867119 logp*logq = 38.11984934338691172 -------------- ************************************* p = 443; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36760356212107245.98 -------------- Searches starting with [443,523]-exponents: u = 1, v = 36 n_start has 101 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(443,523) = 0.6016551267932542725 D2(443,523) = 0.03048852826704821608 C1(443,523) = 0.8316633636422993263 C2(443,523) = 1.594850951474070800 C3(443,523) = 4.495200954427685787 C4(443,523) = 4184 Sum = 4226.921063939036172 Averaged sum = 0.4223120255708898163 logp*logq = 38.14319638256088571 -------------- ************************************* p = 443; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 45178127863065378.29 -------------- Searches starting with [443,541]-exponents: u = 1, v = 30 n_start has 85 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(443,541) = 0.9415999089200150835 D2(443,541) = 0.08476790562212566361 C1(443,541) = 1.352325496351496739 C2(443,541) = 1.703741586822557722 C3(443,541) = 11.51866453862569623 C4(443,541) = 4328 Sum = 4746.094739552325231 Averaged sum = 0.4741827095166675223 logp*logq = 38.34938946779817777 -------------- ************************************* p = 443; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48318873707682850.26 -------------- Searches starting with [443,547]-exponents: u = 1, v = 28 n_start has 80 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(443,547) = 0.7313671681144494156 D2(443,547) = 0.03378370726148733136 C1(443,547) = 1.119980800977621501 C2(443,547) = 1.677892647064425917 C3(443,547) = 7.569049298342953616 C4(443,547) = 4376 Sum = 4023.031404232229808 Averaged sum = 0.4019413931693705473 logp*logq = 38.41659863923584278 -------------- ************************************* p = 443; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 53958542501204738.85 -------------- Searches starting with [443,557]-exponents: u = 1, v = 26 n_start has 75 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(443,557) = 0.6628455166486187753 D2(443,557) = 0.04002704311981658903 C1(443,557) = 0.9059668159002897536 C2(443,557) = 1.713007443655710360 C3(443,557) = 5.141239016720377112 C4(443,557) = 4456 Sum = 4237.032471532991433 Averaged sum = 0.4233222571218894428 logp*logq = 38.52699241515906793 -------------- ************************************* p = 443; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 57598981909539397.17 -------------- Searches starting with [443,563]-exponents: u = 1, v = 25 n_start has 72 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(443,563) = 0.5624232192290507231 D2(443,563) = 0.04821971325785877485 C1(443,563) = 0.8184322056752785540 C2(443,563) = 1.737076072649257173 C3(443,563) = 4.388987547752759017 C4(443,563) = 4504 Sum = 4015.371787084751151 Averaged sum = 0.4011761202002948498 logp*logq = 38.59228128727471527 -------------- ************************************* p = 443; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 61442491714268853.74 -------------- Searches starting with [443,569]-exponents: u = 1, v = 24 n_start has 69 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(443,569) = 0.7853516164546720980 D2(443,569) = 0.04566355826300019226 C1(443,569) = 1.113083614039495809 C2(443,569) = 1.751295943742611647 C3(443,569) = 7.475287949538138933 C4(443,569) = 4552 Sum = 4566.929820755167421 Averaged sum = 0.4562823279803344410 logp*logq = 38.65687803817302155 -------------- ************************************* p = 443; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62770336412349190.12 -------------- Searches starting with [443,571]-exponents: u = 1, v = 24 n_start has 69 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(443,571) = 1.246147088224607099 D2(443,571) = 0.08274344938838665875 C1(443,571) = 1.945797633624404285 C2(443,571) = 1.788895294882341024 C3(443,571) = 33.66678673572358444 C4(443,571) = 4568 Sum = 2078.517278972626356 Averaged sum = 0.2076648295506670352 logp*logq = 38.67825900667054942 -------------- ************************************* p = 443; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66898667088589309.11 -------------- Searches starting with [443,577]-exponents: u = 1, v = 23 n_start has 67 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(443,577) = 0.8368975859843978684 D2(443,577) = 0.06637831300617036524 C1(443,577) = 1.312823961000251715 C2(443,577) = 1.790309496464577073 C3(443,577) = 10.72502935868288899 C4(443,577) = 4616 Sum = 2106.226422160390491 Averaged sum = 0.2104332522889789680 logp*logq = 38.74195543790900422 -------------- ************************************* p = 443; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74283000526678746.28 -------------- Searches starting with [443,587]-exponents: u = 1, v = 21 n_start has 61 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(443,587) = 0.7087016789528805263 D2(443,587) = 0.1084242623548020519 C1(443,587) = 1.012241787332909955 C2(443,587) = 1.852289082485070280 C3(443,587) = 6.229884880550851925 C4(443,587) = 4696 Sum = 4396.070501150676700 Averaged sum = 0.4392117595314893296 logp*logq = 38.84665852539192593 -------------- ************************************* p = 443; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79031868565246196.81 -------------- Searches starting with [443,593]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(443,593) = 0.7090579386323132556 D2(443,593) = 0.06333118003943398546 C1(443,593) = 1.123621533312476761 C2(443,593) = 1.827377330158203806 C3(443,593) = 7.619015234621121729 C4(443,593) = 4744 Sum = 3904.884119382799100 Averaged sum = 0.3901372883787390449 logp*logq = 38.90862756559405794 -------------- ************************************* p = 443; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 84031888423714624.11 -------------- Searches starting with [443,599]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(443,599) = 0.8962083741273107194 D2(443,599) = 0.01285110772177038967 C1(443,599) = 1.243518220581299833 C2(443,599) = 1.798529520410217072 C3(443,599) = 9.462423235673244320 C4(443,599) = 4792 Sum = 4244.232862914182740 Averaged sum = 0.4240416488074915316 logp*logq = 38.96997274580684534 -------------- ************************************* p = 443; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85756189906298083.99 -------------- Searches starting with [443,601]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(443,601) = 1.023942341948170033 D2(443,601) = 0.03981405246299996305 C1(443,601) = 1.631756386115813182 C2(443,601) = 1.825998706238884528 C3(443,601) = 19.08620360728320148 C4(443,601) = 4808 Sum = 4402.838084787770780 Averaged sum = 0.4398879093603527605 logp*logq = 38.99028466384767457 -------------- ************************************* p = 443; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91107571862261402.74 -------------- Searches starting with [443,607]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(443,607) = 0.7315988425151848293 D2(443,607) = 0.1342992631140175088 C1(443,607) = 1.053229164298122241 C2(443,607) = 1.921992539974402655 C3(443,607) = 6.708877429509700555 C4(443,607) = 4856 Sum = 4385.137255970463632 Averaged sum = 0.4381194181207376992 logp*logq = 39.05081731166405792 -------------- ************************************* p = 443; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96735277697316009.14 -------------- Searches starting with [443,613]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(443,613) = 0.6826605168087618317 D2(443,613) = 0.05517488421571453341 C1(443,613) = 0.9650156289715380602 C2(443,613) = 1.866156170842846408 C3(443,613) = 5.720230670387333526 C4(443,613) = 4904 Sum = 4027.819008168662069 Averaged sum = 0.4024197230661067109 logp*logq = 39.11075454673858143 -------------- ************************************* p = 443; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100646186803335297.7 -------------- Searches starting with [443,617]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(443,617) = 0.6963105891968420176 D2(443,617) = 0.1137157093861306610 C1(443,617) = 0.9713872513877617087 C2(443,617) = 1.925691980240017074 C3(443,617) = 5.786479900241393668 C4(443,617) = 4936 Sum = 4293.492763063571993 Averaged sum = 0.4289632094178811063 logp*logq = 39.15038766056926909 -------------- ************************************* p = 443; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102650660033714886.9 -------------- Searches starting with [443,619]-exponents: u = 1, v = 18 n_start has 53 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(443,619) = 0.5762470642471948423 D2(443,619) = 0.1453719824596439769 C1(443,619) = 0.8044117629102774304 C2(443,619) = 1.485181326031241287 C3(443,619) = 4.279175503142355075 C4(443,619) = 4952 Sum = 4182.235027943585876 Averaged sum = 0.4178474400982701445 logp*logq = 39.17010796829859819 -------------- ************************************* p = 443; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115391616867391456.6 -------------- Searches starting with [443,631]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(443,631) = 0.6274281722074955398 D2(443,631) = 0.1316720992198266753 C1(443,631) = 0.8497697748540955274 C2(443,631) = 1.970819133186195922 C3(443,631) = 4.644728388148751854 C4(443,631) = 5048 Sum = 3801.801515276574851 Averaged sum = 0.3798382970603032122 logp*logq = 39.28710810221591514 -------------- ************************************* p = 443; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 126994595024704139.1 -------------- Searches starting with [443,641]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(443,641) = 0.9864266559658756512 D2(443,641) = 0.06696566441122789219 C1(443,641) = 1.487841380597896616 C2(443,641) = 1.934520084745135331 C3(443,641) = 14.71515106009906296 C4(443,641) = 5128 Sum = 4135.432844704925681 Averaged sum = 0.4131714301833275733 logp*logq = 39.38292092160302520 -------------- ************************************* p = 443; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129428373202763016.7 -------------- Searches starting with [443,643]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(443,643) = 0.6417229875733987896 D2(443,643) = 0.09186116558196791590 C1(443,643) = 0.9352423107824231779 C2(443,643) = 1.959899843149081677 C3(443,643) = 5.420574338168559184 C4(443,643) = 5144 Sum = 4046.088081238550854 Averaged sum = 0.4042449876349836001 logp*logq = 39.40190402035119736 -------------- ************************************* p = 443; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134413023780592559.0 -------------- Searches starting with [443,647]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(443,647) = 0.7306337119889711709 D2(443,647) = 0.1089098487061240296 C1(443,647) = 1.196738852840838162 C2(443,647) = 1.309985595956061420 C3(443,647) = 8.695339901717782859 C4(443,647) = 5176 Sum = 3809.566716801067428 Averaged sum = 0.3806141189730310148 logp*logq = 39.43969372143433840 -------------- ************************************* p = 443; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 142190266017238464.1 -------------- Searches starting with [443,653]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(443,653) = 0.5546350551169691872 D2(443,653) = 0.01428508336585402488 C1(443,653) = 0.7651177856536687937 C2(443,653) = 1.913348619574307692 C3(443,653) = 3.985835441348498638 C4(443,653) = 5224 Sum = 3984.086670483269968 Averaged sum = 0.3980504216688250543 logp*logq = 39.49594245717479241 -------------- ************************************* p = 443; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150340139050279725.6 -------------- Searches starting with [443,659]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(443,659) = 0.7804532955503650236 D2(443,659) = 0.07759637985130381274 C1(443,659) = 1.142873913411760595 C2(443,659) = 1.978094343477371386 C3(443,659) = 7.888773591727514689 C4(443,659) = 5272 Sum = 4331.799580984822296 Averaged sum = 0.4327904466964554198 logp*logq = 39.55167671556499293 -------------- ************************************* p = 443; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 153142015647931831.1 -------------- Searches starting with [443,661]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(443,661) = 0.5995388340576946468 D2(443,661) = 0.1010676471153873508 C1(443,661) = 0.8169538965826687517 C2(443,661) = 2.002040839308631923 C3(443,661) = 4.377277356396888064 C4(443,661) = 5288 Sum = 3850.425451597812110 Averaged sum = 0.3846963184731553712 logp*logq = 39.57014209263475656 -------------- ************************************* p = 443; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 170886244115963665.4 -------------- Searches starting with [443,673]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(443,673) = 1.050851091286128141 D2(443,673) = 0.01645878854125656593 C1(443,673) = 1.455667491812431656 C2(443,673) = 1.952039903834563632 C3(443,673) = 13.88392781843784566 C4(443,673) = 5384 Sum = 4478.640679478062686 Averaged sum = 0.4474613527303489545 logp*logq = 39.67977449095570997 -------------- ************************************* p = 443; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 177169737998860279.2 -------------- Searches starting with [443,677]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(443,677) = 0.5673773710428578926 D2(443,677) = 0.05410134404033819041 C1(443,677) = 0.7804580938398690162 C2(443,677) = 1.990620700371786932 C3(443,677) = 4.097882859125908138 C4(443,677) = 5416 Sum = 4019.291563955647078 Averaged sum = 0.4015677454246824935 logp*logq = 39.71588463970983801 -------------- ************************************* p = 443; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 186956390864441612.7 -------------- Searches starting with [443,683]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(443,683) = 0.7545019661337947813 D2(443,683) = 0.08573415398554375828 C1(443,683) = 1.258089901555885393 C2(443,683) = 1.289495851709269100 C3(443,683) = 9.714920938392001153 C4(443,683) = 5464 Sum = 3847.434147913979679 Averaged sum = 0.3843974570800259446 logp*logq = 39.76965178063553902 -------------- ************************************* p = 443; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200704722872961842.5 -------------- Searches starting with [443,691]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(443,691) = 0.5788357030166360928 D2(443,691) = 0.1137877538637473573 C1(443,691) = 0.8045428827384416002 C2(443,691) = 1.804023725721041120 C3(443,691) = 4.280189634787576833 C4(443,691) = 5528 Sum = 4028.372913330007529 Averaged sum = 0.4024750637756027105 logp*logq = 39.84061118243890390 -------------- ************************************* p = 443; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 219069182883176263.4 -------------- Searches starting with [443,701]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(443,701) = 0.5655733752804471935 D2(443,701) = 0.05188465577785857311 C1(443,701) = 0.7875246684519248158 C2(443,701) = 2.029532977026894648 C3(443,701) = 4.150552338417498025 C4(443,701) = 5608 Sum = 4163.582134667950566 Averaged sum = 0.4159838280215756385 logp*logq = 39.92816397841630474 -------------- ************************************* p = 443; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 234753309627615664.0 -------------- Searches starting with [443,709]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(443,709) = 0.8759449549639141542 D2(443,709) = 0.07415439282305772823 C1(443,709) = 1.475794589258374486 C2(443,709) = 1.209169052136969878 C3(443,709) = 14.39824429948507518 C4(443,709) = 5672 Sum = 3648.145461429249736 Averaged sum = 0.3644865082854680523 logp*logq = 39.99731161141986887 -------------- ************************************* p = 443; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 255668255217366784.4 -------------- Searches starting with [443,719]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(443,719) = 0.5204167229600163405 D2(443,719) = 0.09423673176939050705 C1(443,719) = 0.7433135400290300721 C2(443,719) = 1.818432729678196834 C3(443,719) = 3.831826417817954635 C4(443,719) = 5752 Sum = 4116.955539326127803 Averaged sum = 0.4113253611076159259 logp*logq = 40.08265712095702216 -------------- ************************************* p = 443; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 273501417766277222.8 -------------- Searches starting with [443,727]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(443,727) = 0.7441633563148550552 D2(443,727) = 0.02322403918514634760 C1(443,727) = 1.019170243931169856 C2(443,727) = 2.046990048176283988 C3(443,727) = 6.308381823224945427 C4(443,727) = 5816 Sum = 3984.996154312388246 Averaged sum = 0.3981412882717942098 logp*logq = 40.15008320054823317 -------------- ************************************* p = 443; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287548408279791137.1 -------------- Searches starting with [443,733]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(443,733) = 0.8685956015311178606 D2(443,733) = 0.06355643021755772834 C1(443,733) = 1.190583960587824028 C2(443,733) = 1.365108065321570873 C3(443,733) = 8.599154699205881959 C4(443,733) = 5864 Sum = 4408.398069044577451 Averaged sum = 0.4404434078374040814 logp*logq = 40.20016761759969788 -------------- ************************************* p = 443; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 302193438850674863.8 -------------- Searches starting with [443,739]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(443,739) = 0.7306223271711882482 D2(443,739) = 0.07785865100161363110 C1(443,739) = 0.9970572840995187782 C2(443,739) = 1.364824285272796321 C3(443,739) = 6.061249110396133011 C4(443,739) = 5912 Sum = 4238.749540721322641 Averaged sum = 0.4234938096434531562 logp*logq = 40.24984373323194640 -------------- ************************************* p = 443; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 312299037445840139.9 -------------- Searches starting with [443,743]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(443,743) = 0.5506742549898167843 D2(443,743) = 0.07896624033977413662 C1(443,743) = 0.7604149335890820566 C2(443,743) = 1.839484095464967369 C3(443,743) = 3.952102762722498184 C4(443,743) = 5944 Sum = 4150.062931404082112 Averaged sum = 0.4146331233294117406 logp*logq = 40.28273757704908341 -------------- ************************************* p = 443; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 333359310869271769.4 -------------- Searches starting with [443,751]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(443,751) = 0.7619936107739546187 D2(443,751) = 0.07362320028940233550 C1(443,751) = 1.041480097458726937 C2(443,751) = 1.836036159806440276 C3(443,751) = 6.567927441811806459 C4(443,751) = 6008 Sum = 4008.415991557614782 Averaged sum = 0.4004811661062658390 logp*logq = 40.34799731479594002 -------------- ************************************* p = 443; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 349922296866799234.2 -------------- Searches starting with [443,757]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(443,757) = 0.7412904598547605416 D2(443,757) = 0.06422254737390450668 C1(443,757) = 1.032835713357436587 C2(443,757) = 1.689264253563091132 C3(443,757) = 6.466117811707976611 C4(443,757) = 6056 Sum = 4191.003765041048955 Averaged sum = 0.4187235253313067195 logp*logq = 40.39648751579450699 -------------- ************************************* p = 443; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 361341996966404143.7 -------------- Searches starting with [443,761]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(443,761) = 0.6352882119910282542 D2(443,761) = 0.004894520060155637226 C1(443,761) = 0.9303019900318719948 C2(443,761) = 2.082202390961596368 C3(443,761) = 5.372393145973082620 C4(443,761) = 6088 Sum = 3991.445374281175054 Averaged sum = 0.3987856303607927919 logp*logq = 40.42860126479901906 -------------- ************************************* p = 443; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 385117720879703886.1 -------------- Searches starting with [443,769]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(443,769) = 0.8398721694768101868 D2(443,769) = 0.04182480535185701005 C1(443,769) = 1.450788421993258486 C2(443,769) = 1.231700019220267896 C3(443,769) = 13.76204275931040218 C4(443,769) = 6152 Sum = 3845.154115402366410 Averaged sum = 0.3841696588472740943 logp*logq = 40.49232545097951439 -------------- ************************************* p = 443; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 397487297626088619.9 -------------- Searches starting with [443,773]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(443,773) = 0.8116440212944765467 D2(443,773) = 0.05078094253973557986 C1(443,773) = 1.401940133838485006 C2(443,773) = 1.259394846871992215 C3(443,773) = 12.59920840232395767 C4(443,773) = 6184 Sum = 4009.766904191235868 Averaged sum = 0.4006161358968164520 logp*logq = 40.52393937283684026 -------------- ************************************* p = 443; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 443428991426058145.8 -------------- Searches starting with [443,787]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(443,787) = 0.7684481952390416290 D2(443,787) = 0.05220902947593357797 C1(443,787) = 1.110474018360843195 C2(443,787) = 1.857889485842039550 C3(443,787) = 7.440116370872221520 C4(443,787) = 6296 Sum = 4315.094888774487401 Averaged sum = 0.4311214795458574683 logp*logq = 40.63331407431731338 -------------- ************************************* p = 443; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 478893250661508435.3 -------------- Searches starting with [443,797]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(443,797) = 0.8771760298711835250 D2(443,797) = 0.04256606938808816244 C1(443,797) = 1.228609030785909943 C2(443,797) = 1.705234400795270500 C3(443,797) = 9.210868176388063553 C4(443,797) = 6376 Sum = 4496.109391130658921 Averaged sum = 0.4492066531252531642 logp*logq = 40.71025410874065917 -------------- ************************************* p = 443; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 524550377781256717.1 -------------- Searches starting with [443,809]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(443,809) = 0.6979702510611916526 D2(443,809) = 0.009679381148580611963 C1(443,809) = 0.9386146659802233912 C2(443,809) = 2.150658230848612465 C3(443,809) = 5.453711638860885712 C4(443,809) = 6472 Sum = 3703.286309498044948 Averaged sum = 0.3699956348784139222 logp*logq = 40.80131786728858144 -------------- ************************************* p = 443; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 532502360962448895.2 -------------- Searches starting with [443,811]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(443,811) = 1.029641662285211895 D2(443,811) = 0.02087135377526276796 C1(443,811) = 1.404062950733410309 C2(443,811) = 2.162259997795710065 C3(443,811) = 12.64763718341808292 C4(443,811) = 6488 Sum = 4560.763537424833440 Averaged sum = 0.4556662541137809411 logp*logq = 40.81636372621673487 -------------- ************************************* p = 443; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 573790510855599700.9 -------------- Searches starting with [443,821]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(443,821) = 0.7458989696542329084 D2(443,821) = 0.03346441330919532229 C1(443,821) = 1.047745596418417918 C2(443,821) = 1.887253259662011520 C3(443,821) = 6.642720198889829608 C4(443,821) = 6568 Sum = 3875.099215411646325 Averaged sum = 0.3871614762125733165 logp*logq = 40.89104076094860161 -------------- ************************************* p = 443; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 582361027264745219.8 -------------- Searches starting with [443,823]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(443,823) = 0.6737258210487603504 D2(443,823) = 0.03235033227120238034 C1(443,823) = 0.9654077279868252457 C2(443,823) = 1.886585910205358745 C3(443,823) = 5.724285546446613602 C4(443,823) = 6584 Sum = 3605.627476071560106 Averaged sum = 0.3602385329275212415 logp*logq = 40.90586697208283970 -------------- ************************************* p = 443; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 599823362327916160.5 -------------- Searches starting with [443,827]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(443,827) = 0.7948154880547599109 D2(443,827) = 0.03013988147282086675 C1(443,827) = 1.059811034956474192 C2(443,827) = 1.885265613144437588 C3(443,827) = 6.789155907717631378 C4(443,827) = 6616 Sum = 3244.479227498468484 Averaged sum = 0.3241561821858795568 logp*logq = 40.93541161066364723 -------------- ************************************* p = 443; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 608717320786608881.4 -------------- Searches starting with [443,829]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(443,829) = 0.5763102881164045358 D2(443,829) = 0.02904338874482197768 C1(443,829) = 0.7946285536951578009 C2(443,829) = 1.884612553347529771 C3(443,829) = 4.204182245130816224 C4(443,829) = 6632 Sum = 4110.563516882129541 Averaged sum = 0.4106867336279478011 logp*logq = 40.95013038538046514 -------------- ************************************* p = 443; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 654858545728210573.5 -------------- Searches starting with [443,839]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(443,839) = 0.6001612097840436229 D2(443,839) = 0.02364587684725429353 C1(443,839) = 0.9564664466571823389 C2(443,839) = 1.881415978723623158 C3(443,839) = 5.632530216291571393 C4(443,839) = 6712 Sum = 4025.757361599088842 Averaged sum = 0.4022137437904974365 logp*logq = 41.02319564650277368 -------------- ************************************* p = 443; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 724339908426415991.0 -------------- Searches starting with [443,853]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(443,853) = 0.8990456507556146333 D2(443,853) = 0.01415945171581591864 C1(443,853) = 1.249613644171403861 C2(443,853) = 1.628915581236174024 C3(443,853) = 9.567236181483072371 C4(443,853) = 6824 Sum = 4307.697606980144294 Averaged sum = 0.4303824165231436001 logp*logq = 41.12403716389878477 -------------- ************************************* p = 443; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 745286530945062563.2 -------------- Searches starting with [443,857]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(443,857) = 0.6818760589211986698 D2(443,857) = 0.01188552751938736077 C1(443,857) = 0.9207394902963433126 C2(443,857) = 1.562513967314696492 C3(443,857) = 5.280346839517811567 C4(443,857) = 6856 Sum = 3838.301592811528645 Averaged sum = 0.3834850227606682631 logp*logq = 41.15254514464397244 -------------- ************************************* p = 443; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 755948219797886040.1 -------------- Searches starting with [443,859]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(443,859) = 0.8719432110197882756 D2(443,859) = 0.01103937144662116063 C1(443,859) = 1.272727543350308922 C2(443,859) = 1.562059971792879814 C3(443,859) = 9.975345410432652674 C4(443,859) = 6872 Sum = 4724.866310514975980 Averaged sum = 0.4720617754535893675 logp*logq = 41.16674927641367289 -------------- ************************************* p = 443; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 777654392299165017.8 -------------- Searches starting with [443,863]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(443,863) = 0.6189444129955305824 D2(443,863) = 0.008633871636463014276 C1(443,863) = 0.8813561981911756267 C2(443,863) = 1.440165333150541173 C3(443,863) = 4.917582053801962298 C4(443,863) = 6904 Sum = 3548.575248655084320 Averaged sum = 0.3545384402692660925 logp*logq = 41.19505859455500070 -------------- ************************************* p = 443; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 857774942505523923.5 -------------- Searches starting with [443,877]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(443,877) = 0.8166255352950183735 D2(443,877) = 0.004435307804127129079 C1(443,877) = 1.120306701248562542 C2(443,877) = 1.918121355155645271 C3(443,877) = 7.573508615527276874 C4(443,877) = 7016 Sum = 4409.990240501171901 Averaged sum = 0.4406024818164823560 logp*logq = 41.29311815521861713 -------------- ************************************* p = 443; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 881893555569208894.9 -------------- Searches starting with [443,881]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(443,881) = 0.5738427269802212593 D2(443,881) = 0.002452647516434493281 C1(443,881) = 0.8187789467239161667 C2(443,881) = 1.916993212031429232 C3(443,881) = 4.391738734654766331 C4(443,881) = 7048 Sum = 3531.933880314835121 Averaged sum = 0.3528757998116530244 logp*logq = 41.32084775833873876 -------------- ************************************* p = 443; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 894163807160411409.1 -------------- Searches starting with [443,883]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(443,883) = 0.9224391792720483619 D2(443,883) = 0.001468196023391840914 C1(443,883) = 1.331281164282728029 C2(443,883) = 1.916434537356018705 C3(443,883) = 11.08881218745349812 C4(443,883) = 7064 Sum = 3733.204860039555621 Averaged sum = 0.3729847996842397463 logp*logq = 41.33466538278564619 -------------- ************************************* p = 443; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 919132778153169363.7 -------------- Searches starting with [443,887]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(443,887) = 0.8241950686589688327 D2(443,887) = 0.05934551739195206168 C1(443,887) = 1.156873506232371160 C2(443,887) = 1.627474168442461763 C3(443,887) = 8.090910132781416690 C4(443,887) = 7096 Sum = 4379.524018326445083 Averaged sum = 0.4375585990934603939 logp*logq = 41.36220698795421208 -------------- ************************************* p = 443; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.052898134209482303 E18 -------------- Searches starting with [443,907]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(443,907) = 1.098132752424027616 D2(443,907) = 0.1089758026182671622 C1(443,907) = 1.772153986550647454 C2(443,907) = 1.247425102914473480 C3(443,907) = 24.59878565146974802 C4(443,907) = 7256 Sum = 3407.667403194108840 Averaged sum = 0.3404603260259874953 logp*logq = 41.49807816372270955 -------------- ************************************* p = 443; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.081512929534459909 E18 -------------- Searches starting with [443,911]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(443,911) = 0.5954385559612321049 D2(443,911) = 0.1431789780662275223 C1(443,911) = 0.8271367212813369098 C2(443,911) = 1.901334506919434644 C3(443,911) = 4.458577062297490878 C4(443,911) = 7288 Sum = 4140.570450397920521 Averaged sum = 0.4136847287838865542 logp*logq = 41.52489259541907660 -------------- ************************************* p = 443; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.140695739049237318 E18 -------------- Searches starting with [443,919]-exponents: u = 19, v = 8 n_start has 74 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(443,919) = 0.6724108614091739522 D2(443,919) = 0.09893650335527778132 C1(443,919) = 0.9047145086311939781 C2(443,919) = 1.858685137838665377 C3(443,919) = 5.129616458079044734 C4(443,919) = 7352 Sum = 3872.742236318835876 Averaged sum = 0.3869259902406669873 logp*logq = 41.57817004755510917 -------------- ************************************* p = 443; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.218458752110916650 E18 -------------- Searches starting with [443,929]-exponents: u = 37, v = 8 n_start has 122 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(443,929) = 0.5823067279653279061 D2(443,929) = 0.05152058061585826896 C1(443,929) = 0.8021221594742403579 C2(443,929) = 1.813240941002747825 C3(443,929) = 4.261505502648849806 C4(443,929) = 7432 Sum = 4057.100205589230288 Averaged sum = 0.4053452098700399928 logp*logq = 41.64411841603729390 -------------- ************************************* p = 443; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.283815265567730111 E18 -------------- Searches starting with [443,937]-exponents: u = 64, v = 8 n_start has 194 digits starting right neighbors generation We generated 2297 left neighbors We generated 7713 right neighbors We generated 10009 non-negative rho_i D1(443,937) = 0.6603752838657675781 D2(443,937) = 0.01807965586951996707 C1(443,937) = 0.9029486058233212111 C2(443,937) = 1.781361966462408057 C3(443,937) = 5.113271896362470156 C4(443,937) = 7496 Sum = 3873.755563653427423 Averaged sum = 0.3870272318566717378 logp*logq = 41.69636799464127625 -------------- ************************************* p = 443; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.317576492672624949 E18 -------------- Searches starting with [443,941]-exponents: u = 100, v = 8 n_start has 289 digits starting right neighbors generation We generated 5245 left neighbors We generated 4765 right neighbors We generated 10009 non-negative rho_i D1(443,941) = 0.6011044154095609439 D2(443,941) = 0.002520465908334792679 C1(443,941) = 0.8369993640801574967 C2(443,941) = 1.766578689129144657 C3(443,941) = 4.538759673123580650 C4(443,941) = 7528 Sum = 4102.122702111816109 Averaged sum = 0.4098434111411545718 logp*logq = 41.72232573259540083 -------------- ************************************* p = 443; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.369607914966285380 E18 -------------- Searches starting with [443,947]-exponents: u = 433, v = 8 n_start has 1170 digits --- performed 5000 steps in the continued fraction search [443,947]-exponents: u = 114, v = 280 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(443,947) = 0.6873316251534112992 D2(443,947) = 0.3740998004633095540 C1(443,947) = 0.8919474712491094227 C2(443,947) = 1.511747713567891845 C3(443,947) = 5.012615660769707798 C4(443,947) = 7576 Sum = 5259.797833888549621 Averaged sum = 0.5260323866275177139 logp*logq = 41.76105617931642740 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(443,947) = 0.6873316251534112992 D2(443,947) = 0.3740998004633095540 C1(443,947) = 0.8919474712491094227 C2(443,947) = 1.511747713567891845 C3(443,947) = 5.012615660769707798 C4(443,947) = 7576 Sum = 5259.797833888549621 Averaged sum = 0.5260323866275177139 logp*logq = 41.76105617931642740 -------------- ************************************* p = 443; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.423345856719238580 E18 -------------- Searches starting with [443,953]-exponents: u = 9, v = 175 n_start has 546 digits --- performed 5000 steps in the continued fraction search [443,953]-exponents: u = 173, v = 2 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(443,953) = 1.037892900929383018 D2(443,953) = 0.1885483350521565551 C1(443,953) = 1.392926646667421979 C2(443,953) = 1.499875394804392239 C3(443,953) = 12.39563637683764604 C4(443,953) = 7624 Sum = 4734.904323673865305 Averaged sum = 0.4735377861460011306 logp*logq = 41.79954201105832162 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(443,953) = 1.037892900929383018 D2(443,953) = 0.1885483350521565551 C1(443,953) = 1.392926646667421979 C2(443,953) = 1.499875394804392239 C3(443,953) = 12.39563637683764604 C4(443,953) = 7624 Sum = 4734.904323673865305 Averaged sum = 0.4735377861460011306 logp*logq = 41.79954201105832162 -------------- ************************************* p = 443; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.555623564394318960 E18 -------------- Searches starting with [443,967]-exponents: u = 9, v = 39 n_start has 141 digits starting right neighbors generation We generated 805 left neighbors We generated 9205 right neighbors We generated 10009 non-negative rho_i D1(443,967) = 0.6700347685939874599 D2(443,967) = 0.02307439412370165783 C1(443,967) = 0.9900339306662585310 C2(443,967) = 1.584301290964695491 C3(443,967) = 5.984800822419047220 C4(443,967) = 7736 Sum = 3141.431891179757572 Averaged sum = 0.3138607144749483037 logp*logq = 41.88840814518394808 -------------- ************************************* p = 443; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.595250156369917684 E18 -------------- Searches starting with [443,971]-exponents: u = 9, v = 31 n_start has 117 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(443,971) = 0.8627066990021958916 D2(443,971) = 0.03524522566351571515 C1(443,971) = 1.174283565126731322 C2(443,971) = 1.652111979396320600 C3(443,971) = 8.349530230485515850 C4(443,971) = 7768 Sum = 3998.752328037912239 Averaged sum = 0.3995156687019594603 logp*logq = 41.91356223568133868 -------------- ************************************* p = 443; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.656269975359899227 E18 -------------- Searches starting with [443,977]-exponents: u = 9, v = 23 n_start has 93 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(443,977) = 0.5777755481104759804 D2(443,977) = 0.05538525661832386007 C1(443,977) = 0.7867271802263800633 C2(443,977) = 1.747271901000449368 C3(443,977) = 4.144574672264567331 C4(443,977) = 7816 Sum = 4084.212480077229361 Averaged sum = 0.4080539994082555061 logp*logq = 41.95109974516714535 -------------- ************************************* p = 443; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.719228696244109930 E18 -------------- Searches starting with [443,983]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(443,983) = 0.5816780889154207980 D2(443,983) = 0.07971022707103524630 C1(443,983) = 0.9043291991888132513 C2(443,983) = 1.881565722388418434 C3(443,983) = 5.126045721988953292 C4(443,983) = 7864 Sum = 3990.659189421496880 Averaged sum = 0.3987070825678386332 logp*logq = 41.98840743172608409 -------------- ************************************* p = 443; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.806274911597518582 E18 -------------- Searches starting with [443,991]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(443,991) = 0.6822298837739412682 D2(443,991) = 0.1093327180482448230 C1(443,991) = 0.9833645530767303829 C2(443,991) = 1.912533451403736662 C3(443,991) = 5.913098249384991539 C4(443,991) = 7928 Sum = 3692.097361608279697 Averaged sum = 0.3688777461892576378 logp*logq = 42.03779833856421990 -------------- ************************************* p = 443; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.873950721618367390 E18 -------------- Searches starting with [443,997]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(443,997) = 0.8472564238609336373 D2(443,997) = 0.09377529151869611076 C1(443,997) = 1.387735326443629589 C2(443,997) = 1.260362415130676390 C3(443,997) = 12.27988520760026567 C4(443,997) = 7976 Sum = 3245.425698558161375 Averaged sum = 0.3242507441860486937 logp*logq = 42.07458056153533243 -------------- ************************************* p = 449; q = 457; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 17545635919871074.52 -------------- Searches starting with [449,457]-exponents: u = 1, v = 345 n_start has 921 digits --- performed 5000 steps in the continued fraction search [449,457]-exponents: u = 261, v = 71 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(449,457) = 0.5552610336030503595 D2(449,457) = 0.04852090624405365853 C1(449,457) = 0.7271113483015552779 C2(449,457) = 1.132565545882123955 C3(449,457) = 3.727224755227045970 C4(449,457) = 3656 Sum = 5278.514954785251765 Averaged sum = 0.5279042859071158881 logp*logq = 37.40358164836574804 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(449,457) = 0.5552610336030503595 D2(449,457) = 0.04852090624405365853 C1(449,457) = 0.7271113483015552779 C2(449,457) = 1.132565545882123955 C3(449,457) = 3.727224755227045970 C4(449,457) = 3656 Sum = 5278.514954785251765 Averaged sum = 0.5279042859071158881 logp*logq = 37.40358164836574804 -------------- ************************************* p = 449; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 18504719974563741.25 -------------- Searches starting with [449,461]-exponents: u = 1, v = 231 n_start has 618 digits --- performed 5000 steps in the continued fraction search [449,461]-exponents: u = 149, v = 61 --- starting right neighbors generation We generated 5939 left neighbors We generated 4071 right neighbors We generated 10009 non-negative rho_i D1(449,461) = 0.6081889461594787546 D2(449,461) = 0.005488473433588140990 C1(449,461) = 0.8100736058311446991 C2(449,461) = 1.155484374258979331 C3(449,461) = 4.330916147006409194 C4(449,461) = 3688 Sum = 5029.863135874686954 Averaged sum = 0.5025340329578066693 logp*logq = 37.45680222821408360 -------------- ************************************* p = 449; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 19000460260479230.19 -------------- Searches starting with [449,463]-exponents: u = 1, v = 198 n_start has 531 digits starting right neighbors generation We generated 4346 left neighbors We generated 5664 right neighbors We generated 10009 non-negative rho_i D1(449,463) = 0.8121826770138425009 D2(449,463) = 0.006002868325524615749 C1(449,463) = 1.089552875089789465 C2(449,463) = 1.181461861235901820 C3(449,463) = 7.181296248540962673 C4(449,463) = 3704 Sum = 4996.218650393423801 Averaged sum = 0.4991726096906208214 logp*logq = 37.48323959801947262 -------------- ************************************* p = 449; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20025311677907633.54 -------------- Searches starting with [449,467]-exponents: u = 1, v = 155 n_start has 417 digits starting right neighbors generation We generated 2811 left neighbors We generated 7199 right neighbors We generated 10009 non-negative rho_i D1(449,467) = 0.6157907674794427473 D2(449,467) = 0.003101841389375188945 C1(449,467) = 0.8364385330773088964 C2(449,467) = 1.222979963007194664 C3(449,467) = 4.542533241371138209 C4(449,467) = 3736 Sum = 4638.379264833686735 Averaged sum = 0.4634208477204202952 logp*logq = 37.53577345218381543 -------------- ************************************* p = 449; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23381390069445131.73 -------------- Searches starting with [449,479]-exponents: u = 1, v = 94 n_start has 255 digits starting right neighbors generation We generated 1085 left neighbors We generated 8925 right neighbors We generated 10009 non-negative rho_i D1(449,479) = 0.5636273752859754005 D2(449,479) = 0.006155036217592267969 C1(449,479) = 0.7875816346348256510 C2(449,479) = 1.326170670332409076 C3(449,479) = 4.158195649236442995 C4(449,479) = 3832 Sum = 4053.352894743876279 Averaged sum = 0.4049708157402214287 logp*logq = 37.69071680468100355 -------------- ************************************* p = 449; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 25870265012369843.35 -------------- Searches starting with [449,487]-exponents: u = 1, v = 75 n_start has 205 digits starting right neighbors generation We generated 724 left neighbors We generated 9286 right neighbors We generated 10009 non-negative rho_i D1(449,487) = 0.6948894263108147779 D2(449,487) = 0.009864671177134826335 C1(449,487) = 0.9852257096446470810 C2(449,487) = 1.381563586698775680 C3(449,487) = 5.945925641812560442 C4(449,487) = 3896 Sum = 3751.521209505766670 Averaged sum = 0.3748147876416991377 logp*logq = 37.79187063505962646 -------------- ************************************* p = 449; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27195450985811049.49 -------------- Searches starting with [449,491]-exponents: u = 1, v = 68 n_start has 186 digits starting right neighbors generation We generated 593 left neighbors We generated 9417 right neighbors We generated 10009 non-negative rho_i D1(449,491) = 0.5993208061787768072 D2(449,491) = 0.01404876626119326865 C1(449,491) = 0.8554434884232369753 C2(449,491) = 1.408504635746557775 C3(449,491) = 4.701460260369056510 C4(449,491) = 3928 Sum = 3598.293381971866253 Averaged sum = 0.3595057829924933813 logp*logq = 37.84182611105722726 -------------- ************************************* p = 449; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30016619883237667.20 -------------- Searches starting with [449,499]-exponents: u = 1, v = 57 n_start has 157 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(449,499) = 0.6926770852694654729 D2(449,499) = 0.02755958454963631010 C1(449,499) = 1.000058005299440431 C2(449,499) = 1.462710147829527556 C3(449,499) = 6.107663896636060712 C4(449,499) = 3992 Sum = 4646.554543968686406 Averaged sum = 0.4642376405204002803 logp*logq = 37.94052761928157150 -------------- ************************************* p = 449; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31516466306920080.08 -------------- Searches starting with [449,503]-exponents: u = 1, v = 53 n_start has 146 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(449,503) = 0.6278268190447123100 D2(449,503) = 0.01336312458826730764 C1(449,503) = 0.9113107549979483738 C2(449,503) = 1.469747733778243429 C3(449,503) = 5.201575641028310907 C4(449,503) = 4024 Sum = 4416.587347832793450 Averaged sum = 0.4412615993438698621 logp*logq = 37.98928654406359017 -------------- ************************************* p = 449; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33883436251435388.44 -------------- Searches starting with [449,509]-exponents: u = 1, v = 48 n_start has 133 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(449,509) = 0.6907065438481947051 D2(449,509) = 0.03953541596554241806 C1(449,509) = 0.9404682378291238561 C2(449,509) = 1.520110854890290556 C3(449,509) = 5.483372250525368877 C4(449,509) = 4072 Sum = 4218.825337367964462 Averaged sum = 0.4215031808740098373 logp*logq = 38.06170268373785848 -------------- ************************************* p = 449; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39065209569558914.62 -------------- Searches starting with [449,521]-exponents: u = 1, v = 41 n_start has 115 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(449,521) = 0.8442115948838086349 D2(449,521) = 0.03430406352240649386 C1(449,521) = 1.252905929605597229 C2(449,521) = 1.565264785773623036 C3(449,521) = 9.650959650513110098 C4(449,521) = 4168 Sum = 2834.011633564025232 Averaged sum = 0.2831463316579104038 logp*logq = 38.20400868498237471 -------------- ************************************* p = 449; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39990058024022119.77 -------------- Searches starting with [449,523]-exponents: u = 1, v = 40 n_start has 112 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(449,523) = 0.9708779001903134534 D2(449,523) = 0.03010723605865007838 C1(449,523) = 1.443940907287242771 C2(449,523) = 1.569344785158801724 C3(449,523) = 13.63613932737988009 C4(449,523) = 4184 Sum = 2818.013845682679594 Averaged sum = 0.2815479913760295328 logp*logq = 38.22740726873165343 -------------- ************************************* p = 449; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49169778821017947.91 -------------- Searches starting with [449,541]-exponents: u = 1, v = 32 n_start has 91 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(449,541) = 0.6826491676316552576 D2(449,541) = 0.07532117786080687453 C1(449,541) = 0.9344628706350422711 C2(449,541) = 1.672981369944425957 C3(449,541) = 5.424110581384948283 C4(449,541) = 4328 Sum = 4134.702399148686319 Averaged sum = 0.4130984513086908102 logp*logq = 38.43405557807381509 -------------- ************************************* p = 449; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52595824585002244.99 -------------- Searches starting with [449,547]-exponents: u = 1, v = 30 n_start has 85 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(449,547) = 0.8193892280593080263 D2(449,547) = 0.04693221563391033606 C1(449,547) = 1.247187305127237547 C2(449,547) = 1.667489880609322586 C3(449,547) = 9.551611193263925084 C4(449,547) = 4376 Sum = 4412.641987128573646 Averaged sum = 0.4408674180366244026 logp*logq = 38.50141313099028445 -------------- ************************************* p = 449; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58749006049151410.88 -------------- Searches starting with [449,557]-exponents: u = 1, v = 28 n_start has 80 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(449,557) = 1.649932401428754392 D2(449,557) = 0.08336431857017565980 C1(449,557) = 2.316724474824757647 C2(449,557) = 1.730099312145966433 C3(449,557) = 66.15315263965006017 C4(449,557) = 4456 Sum = 5824.495104356861100 Averaged sum = 0.5819257772361735538 logp*logq = 38.61205062947952093 -------------- ************************************* p = 449; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62721685470111610.03 -------------- Searches starting with [449,563]-exponents: u = 1, v = 26 n_start has 75 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(449,563) = 1.217541936062627765 D2(449,563) = 0.006537140594270709839 C1(449,563) = 1.878686336413430538 C2(449,563) = 1.681086392862473272 C3(449,563) = 29.94520109424558692 C4(449,563) = 4504 Sum = 5630.276058547572348 Averaged sum = 0.5625213366517706412 logp*logq = 38.67748364352084239 -------------- ************************************* p = 449; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66916569586735477.54 -------------- Searches starting with [449,569]-exponents: u = 1, v = 25 n_start has 72 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(449,569) = 0.5854992142426252394 D2(449,569) = 0.01382337244137115944 C1(449,569) = 0.8018038283939945748 C2(449,569) = 1.704240306124706006 C3(449,569) = 4.266592246113877300 C4(449,569) = 4552 Sum = 4165.011502597356703 Averaged sum = 0.4161266362870773007 logp*logq = 38.74222300830977127 -------------- ************************************* p = 449; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68365942630347610.62 -------------- Searches starting with [449,571]-exponents: u = 1, v = 25 n_start has 72 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(449,571) = 0.7101782411330758139 D2(449,571) = 0.04894901018563615311 C1(449,571) = 0.9733524016285597888 C2(449,571) = 1.739882458659814052 C3(449,571) = 5.819545625988172111 C4(449,571) = 4568 Sum = 4037.722901809521950 Averaged sum = 0.4034092218812590618 logp*logq = 38.76365118077747268 -------------- ************************************* p = 449; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 72872536767426649.68 -------------- Searches starting with [449,577]-exponents: u = 1, v = 24 n_start has 69 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(449,577) = 0.7298517608208590392 D2(449,577) = 0.04461350594373312530 C1(449,577) = 1.034795479139002284 C2(449,577) = 1.752312820599639010 C3(449,577) = 6.503885145206396385 C4(449,577) = 4616 Sum = 4451.111788133806284 Averaged sum = 0.4447109389683091502 logp*logq = 38.82748823822005331 -------------- ************************************* p = 449; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80934977849592195.58 -------------- Searches starting with [449,587]-exponents: u = 1, v = 22 n_start has 64 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(449,587) = 0.6161846732981163137 D2(449,587) = 0.09946257545746004703 C1(449,587) = 0.8494803452753720832 C2(449,587) = 1.825952470679964901 C3(449,587) = 4.651004454463246953 C4(449,587) = 4696 Sum = 4195.197407695426726 Averaged sum = 0.4191425125082852159 logp*logq = 38.93242248461512596 -------------- ************************************* p = 449; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86120884453144575.64 -------------- Searches starting with [449,593]-exponents: u = 1, v = 21 n_start has 61 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(449,593) = 0.8808639639730327623 D2(449,593) = 0.06711255926688930622 C1(449,593) = 1.389195300110385563 C2(449,593) = 1.812501169044928195 C3(449,593) = 12.35010682857584364 C4(449,593) = 4744 Sum = 4087.742835423472902 Averaged sum = 0.4084067174966003499 logp*logq = 38.99452833736275716 -------------- ************************************* p = 449; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 91581799624256545.42 -------------- Searches starting with [449,599]-exponents: u = 1, v = 21 n_start has 61 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(449,599) = 0.6132622088644969408 D2(449,599) = 0.02698124008432796274 C1(449,599) = 0.8488824845729598413 C2(449,599) = 1.792545747798803950 C3(449,599) = 4.645975752238677633 C4(449,599) = 4792 Sum = 3948.208141372224366 Averaged sum = 0.3944657949217928231 logp*logq = 39.05600895279015562 -------------- ************************************* p = 449; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93465213569935869.23 -------------- Searches starting with [449,601]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(449,601) = 0.8423212731939106860 D2(449,601) = 0.05628153778356238473 C1(449,601) = 1.335400654624790518 C2(449,601) = 1.822348768211330537 C3(449,601) = 11.20462413134501712 C4(449,601) = 4808 Sum = 3880.557843273878078 Averaged sum = 0.3877068481640401716 logp*logq = 39.07636571459816396 -------------- ************************************* p = 449; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 99310927354118594.11 -------------- Searches starting with [449,607]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(449,607) = 0.8148036747105431942 D2(449,607) = 0.005610466287260738619 C1(449,607) = 1.146664470696509870 C2(449,607) = 1.793303743147645885 C3(449,607) = 7.963111967748258294 C4(449,607) = 4856 Sum = 4589.248527741367178 Averaged sum = 0.4585121918015153540 logp*logq = 39.13703200375555488 -------------- ************************************* p = 449; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 105459307829459189.5 -------------- Searches starting with [449,613]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(449,613) = 0.5795901577799984219 D2(449,613) = 0.08958438443633781042 C1(449,613) = 0.8058691395104556560 C2(449,613) = 1.878771366074846801 C3(449,613) = 4.298092733288360853 C4(449,613) = 4904 Sum = 4203.175853973014046 Averaged sum = 0.4199396397215520078 logp*logq = 39.19710156564479072 -------------- ************************************* p = 449; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109732521824420908.3 -------------- Searches starting with [449,617]-exponents: u = 1, v = 19 n_start has 56 digits **************************************************** Computing .... elapsed time = 43 minutes **************************************************** starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(449,617) = 0.5931916725935012168 D2(449,617) = 0.1535089074798602022 C1(449,617) = 0.8257647188725974487 C2(449,617) = 1.481493845837429060 C3(449,617) = 4.455642271096625320 C4(449,617) = 4936 Sum = 4181.196197544198628 Averaged sum = 0.4177436504689977648 logp*logq = 39.23682217973644012 -------------- ************************************* p = 449; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111922831593193772.6 -------------- Searches starting with [449,619]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(449,619) = 1.048729756670508725 D2(449,619) = 0.01941349942136467986 C1(449,619) = 1.682179698766254207 C2(449,619) = 1.831884833567542879 C3(449,619) = 20.98488104568573171 C4(449,619) = 4952 Sum = 1658.223956871338135 Averaged sum = 0.1656732897263800714 logp*logq = 39.25658602510149307 -------------- ************************************* p = 449; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125847149570303856.9 -------------- Searches starting with [449,631]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(449,631) = 0.8423473360406147131 D2(449,631) = 0.01343178068510328225 C1(449,631) = 1.359993132338200519 C2(449,631) = 1.852578814651472529 C3(449,631) = 11.71447386975537906 C4(449,631) = 5048 Sum = 3613.104406652728978 Averaged sum = 0.3609855536669726225 logp*logq = 39.37384446681400519 -------------- ************************************* p = 449; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138530763854648985.3 -------------- Searches starting with [449,641]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(449,641) = 0.6116760908581039560 D2(449,641) = 0.1279945810707414723 C1(449,641) = 0.9946656417603449272 C2(449,641) = 1.415051182004100834 C3(449,641) = 6.048360260826525125 C4(449,641) = 5128 Sum = 3880.668212236746628 Averaged sum = 0.3877178751360522158 logp*logq = 39.46986881756692384 -------------- ************************************* p = 449; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141191543277377938.2 -------------- Searches starting with [449,643]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(449,643) = 1.327312650743335232 D2(449,643) = 0.1028554381237637735 C1(449,643) = 2.158246095645396089 C2(449,643) = 1.150277939769037646 C3(449,643) = 49.66078188503614748 C4(449,643) = 5144 Sum = 1590.500206951340099 Averaged sum = 0.1589070043911819462 logp*logq = 39.48889382637296891 -------------- ************************************* p = 449; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 146641460463753196.3 -------------- Searches starting with [449,647]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(449,647) = 0.7633236981414690508 D2(449,647) = 0.02985690843301104112 C1(449,647) = 1.049860977989442129 C2(449,647) = 1.898859576561313141 C3(449,647) = 6.683620422985625657 C4(449,647) = 5176 Sum = 4195.520660059997954 Averaged sum = 0.4191748086781894249 logp*logq = 39.52676695791076882 -------------- ************************************* p = 449; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155145514888220558.3 -------------- Searches starting with [449,653]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(449,653) = 0.5942262516764293309 D2(449,653) = 0.1008738620280171053 C1(449,653) = 0.8663472520700148905 C2(449,653) = 1.971311345397252690 C3(449,653) = 4.795139754199282931 C4(449,653) = 5224 Sum = 3673.099267210906131 Averaged sum = 0.3669796450405541144 logp*logq = 39.58313987715790069 -------------- ************************************* p = 449; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164058125416660644.9 -------------- Searches starting with [449,659]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(449,659) = 0.8382878648531544342 D2(449,659) = 0.1215633879279408416 C1(449,659) = 1.123771073839502104 C2(449,659) = 1.326523177883414340 C3(449,659) = 7.639985153045689045 C4(449,659) = 5272 Sum = 4026.389271889749756 Averaged sum = 0.4022768779987760772 logp*logq = 39.63899718321411316 -------------- ************************************* p = 449; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167122475931122280.9 -------------- Searches starting with [449,661]-exponents: u = 1, v = 15 n_start has 45 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(449,661) = 0.6551290785363501586 D2(449,661) = 0.0001586227944898689903 C1(449,661) = 0.9226680949144545666 C2(449,661) = 1.901131814987734442 C3(449,661) = 5.309576123193071776 C4(449,661) = 5288 Sum = 4298.553735565498262 Averaged sum = 0.4294688515901187194 logp*logq = 39.65750332733839750 -------------- ************************************* p = 449; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 186531732558735257.8 -------------- Searches starting with [449,673]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(449,673) = 0.7204658933132244067 D2(449,673) = 0.09847668452782428761 C1(449,673) = 1.190717231804129132 C2(449,673) = 1.315128657364370697 C3(449,673) = 8.623841852179127321 C4(449,673) = 5384 Sum = 3900.207250643053998 Averaged sum = 0.3896700220444653809 logp*logq = 39.76737776728908321 -------------- ************************************* p = 449; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 193405929836552041.7 -------------- Searches starting with [449,677]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(449,677) = 0.6773249511578631856 D2(449,677) = 0.1270225375607742166 C1(449,677) = 0.9303247698526706677 C2(449,677) = 1.422322385919441274 C3(449,677) = 5.383648451924445514 C4(449,677) = 5416 Sum = 4210.073036122152710 Averaged sum = 0.4206287377482418533 logp*logq = 39.80356763845545602 -------------- ************************************* p = 449; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204113679118836605.9 -------------- Searches starting with [449,683]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(449,683) = 0.6496254543845700682 D2(449,683) = 0.01804270725271062087 C1(449,683) = 0.8874940083727087706 C2(449,683) = 1.955959037906908805 C3(449,683) = 4.982175424131718468 C4(449,683) = 5464 Sum = 4034.708980905662246 Averaged sum = 0.4031081007998463628 logp*logq = 39.85745348413098475 -------------- ************************************* p = 449; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 219158048482550862.0 -------------- Searches starting with [449,691]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(449,691) = 0.9296927809396693223 D2(449,691) = 0.09578203076321901174 C1(449,691) = 1.302620101592740748 C2(449,691) = 1.431211992117445710 C3(449,691) = 10.55935437510524044 C4(449,691) = 5528 Sum = 4146.254421066503807 Averaged sum = 0.4142526147533723456 logp*logq = 39.92856954700826899 -------------- ************************************* p = 449; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239257228566607958.6 -------------- Searches starting with [449,701]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(449,701) = 0.6273251363157475861 D2(449,701) = 0.1132392729550758667 C1(449,701) = 0.8722384467620186338 C2(449,701) = 1.805562973628392184 C3(449,701) = 4.846528199826383733 C4(449,701) = 5608 Sum = 4062.949811395907085 Averaged sum = 0.4059296444595770891 logp*logq = 40.01631563823187935 -------------- ************************************* p = 449; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 256425849604366683.8 -------------- Searches starting with [449,709]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(449,709) = 0.5614627766312288197 D2(449,709) = 0.03234021603232107686 C1(449,709) = 0.7755718183038095999 C2(449,709) = 2.011803660603372541 C3(449,709) = 4.068808509705305076 C4(449,709) = 5672 Sum = 4029.049576959178541 Averaged sum = 0.4025426692935536558 logp*logq = 40.08561593236518832 -------------- ************************************* p = 449; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 279324299077720059.5 -------------- Searches starting with [449,719]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(449,719) = 0.9600006725681299885 D2(449,719) = 0.06966547711553821732 C1(449,719) = 1.618214127584569577 C2(449,719) = 1.174290996307330842 C3(449,719) = 18.69134165173110538 C4(449,719) = 5752 Sum = 3370.007809562218331 Averaged sum = 0.3366977529785411461 logp*logq = 40.17114986399777212 -------------- ************************************* p = 449; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 298851982507904833.6 -------------- Searches starting with [449,727]-exponents: u = 1, v = 12 n_start has 37 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(449,727) = 0.8575742980226288544 D2(449,727) = 0.09544091571236177986 C1(449,727) = 1.275431625176129675 C2(449,727) = 1.821168742068709378 C3(449,727) = 10.05244850508999840 C4(449,727) = 5816 Sum = 3704.914222147711000 Averaged sum = 0.3701582797629844140 logp*logq = 40.23872480394815304 -------------- ************************************* p = 449; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 314235718545440937.8 -------------- Searches starting with [449,733]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(449,733) = 0.6813491615446964900 D2(449,733) = 0.08413922839335096578 C1(449,733) = 0.9200541196316918981 C2(449,733) = 1.677946690611621036 C3(449,733) = 5.284522028944441587 C4(449,733) = 5864 Sum = 3898.327265266428673 Averaged sum = 0.3894821925533448569 logp*logq = 40.28891979519221947 -------------- ************************************* p = 449; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 330276171788679053.4 -------------- Searches starting with [449,739]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(449,739) = 0.7555005321004764363 D2(449,739) = 0.03246444531746071181 C1(449,739) = 1.099819257440406816 C2(449,739) = 2.058878579370880197 C3(449,739) = 7.315945634909216145 C4(449,739) = 5912 Sum = 4376.897619264141984 Averaged sum = 0.4372961953505986596 logp*logq = 40.33870558358699572 -------------- ************************************* p = 449; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 341345668372300608.8 -------------- Searches starting with [449,743]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(449,743) = 1.405910777256849791 D2(449,743) = 0.06331820746320848914 C1(449,743) = 1.952522730237926625 C2(449,743) = 2.090605468026352501 C3(449,743) = 34.22551989065924231 C4(449,743) = 5944 Sum = 4533.418144560498783 Averaged sum = 0.4529341736997201302 logp*logq = 40.37167204899854820 -------------- ************************************* p = 449; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 364417238004624115.9 -------------- Searches starting with [449,751]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(449,751) = 0.7110750372679688977 D2(449,751) = 0.08031422494263951608 C1(449,751) = 0.9886850536237444602 C2(449,751) = 1.842313910008601328 C3(449,751) = 5.983260731713875912 C4(449,751) = 6008 Sum = 4330.996654293823455 Averaged sum = 0.4327102262257791443 logp*logq = 40.43707586434948958 -------------- ************************************* p = 449; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 382564292836677144.2 -------------- Searches starting with [449,757]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(449,757) = 0.7830831637331144854 D2(449,757) = 0.07632149910756809405 C1(449,757) = 1.060591323340702342 C2(449,757) = 1.839729019074910816 C3(449,757) = 6.814656973883773973 C4(449,757) = 6056 Sum = 3749.351851260092001 Averaged sum = 0.3745980468838137677 logp*logq = 40.48567311989995444 -------------- ************************************* p = 449; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 395077272886330638.2 -------------- Searches starting with [449,761]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(449,761) = 0.6933365714554825448 D2(449,761) = 0.07370311171466397618 C1(449,761) = 0.9735382161455154633 C2(449,761) = 1.838042887637426366 C3(449,761) = 5.821502603218768879 C4(449,761) = 6088 Sum = 4273.987384847329676 Averaged sum = 0.4270144255017813644 logp*logq = 40.51785776823956188 -------------- ************************************* p = 449; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 421131967681493109.1 -------------- Searches starting with [449,769]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(449,769) = 0.6655922264850208785 D2(449,769) = 0.06317434497818403272 C1(449,769) = 0.9991329835258952077 C2(449,769) = 1.690465599432848961 C3(449,769) = 6.097449617442122688 C4(449,769) = 6152 Sum = 3686.081475795594187 Averaged sum = 0.3682766985508636414 logp*logq = 40.58172264190033413 -------------- ************************************* p = 449; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 434688622611356183.3 -------------- Searches starting with [449,773]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(449,773) = 0.6988341494863271648 D2(449,773) = 0.008988666294873313927 C1(449,773) = 1.023745874257653858 C2(449,773) = 2.088858404529620772 C3(449,773) = 6.375140452327171784 C4(449,773) = 6184 Sum = 3416.988217484198934 Averaged sum = 0.3413915693360174776 logp*logq = 40.61340635959616912 -------------- ************************************* p = 449; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 485047167537717922.9 -------------- Searches starting with [449,787]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(449,787) = 0.6243626125833834816 D2(449,787) = 0.05860400840707961257 C1(449,787) = 1.079005974117401462 C2(449,787) = 1.863850658294937123 C3(449,787) = 7.045547976018421352 C4(449,787) = 6296 Sum = 3826.947839104677112 Averaged sum = 0.3823506683089896205 logp*logq = 40.72302253377452408 -------------- ************************************* p = 449; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 523928926222254399.1 -------------- Searches starting with [449,797]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(449,797) = 0.8611429440460121694 D2(449,797) = 0.05257730753255879996 C1(449,797) = 1.167044472841711968 C2(449,797) = 1.860096540914387251 C3(449,797) = 8.262244262183103837 C4(449,797) = 6376 Sum = 3951.070839300170434 Averaged sum = 0.3947518073034439438 logp*logq = 40.80013243305176978 -------------- ************************************* p = 449; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 573995090579339931.3 -------------- Searches starting with [449,809]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(449,809) = 0.6958470999767404799 D2(449,809) = 0.04191187955941388255 C1(449,809) = 0.9749719892936723076 C2(449,809) = 1.706716900662951495 C3(449,809) = 5.836625084453273869 C4(449,809) = 6472 Sum = 4127.163029721457514 Averaged sum = 0.4123451922990765824 logp*logq = 40.89139723819600896 -------------- ************************************* p = 449; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 582715992803150080.2 -------------- Searches starting with [449,811]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(449,811) = 0.9154941642670590444 D2(449,811) = 0.03868399807390002912 C1(449,811) = 1.385250787727006106 C2(449,811) = 1.615241657053409228 C3(449,811) = 12.26227353951587632 C4(449,811) = 6488 Sum = 3429.785375397394249 Averaged sum = 0.3426701344187625386 logp*logq = 40.90647631471559947 -------------- ************************************* p = 449; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 628001040452683042.9 -------------- Searches starting with [449,821]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(449,821) = 0.6168364354234930727 D2(449,821) = 0.008673421092665517494 C1(449,821) = 1.082506340034537620 C2(449,821) = 2.152095954739736672 C3(449,821) = 7.090313980889454642 C4(449,821) = 6568 Sum = 3711.451706802584008 Averaged sum = 0.3708114403839128792 logp*logq = 40.98131821814929978 -------------- ************************************* p = 449; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 637402144887899912.1 -------------- Searches starting with [449,823]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(449,823) = 0.7177010838059532130 D2(449,823) = 0.01967073731137731017 C1(449,823) = 1.259435059109481735 C2(449,823) = 2.163497066766761504 C3(449,823) = 9.765652869805734386 C4(449,823) = 6584 Sum = 4155.096729466240384 Averaged sum = 0.4151360505011729827 logp*logq = 40.99617716194615080 -------------- ************************************* p = 449; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 656557734648622415.8 -------------- Searches starting with [449,827]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(449,827) = 1.696213543247528677 D2(449,827) = 0.02148235176230901732 C1(449,827) = 2.976167532152915017 C2(449,827) = 1.108422934187174388 C3(449,827) = 218.1525960281134934 C4(449,827) = 6616 Sum = 4896.620845135114401 Averaged sum = 0.4892217849070950545 logp*logq = 41.02578702789205724 -------------- ************************************* p = 449; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 666314581201472776.7 -------------- Searches starting with [449,829]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(449,829) = 0.8742801513578760173 D2(449,829) = 0.02995429528402864361 C1(449,829) = 1.534007443128483526 C2(449,829) = 1.216714052197716491 C3(449,829) = 16.04975381119290161 C4(449,829) = 6632 Sum = 3962.610252215376562 Averaged sum = 0.3959047109816541674 logp*logq = 41.04053829807804926 -------------- ************************************* p = 449; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 716937361305950236.0 -------------- Searches starting with [449,839]-exponents: u = 1, v = 9 n_start has 29 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(449,839) = 0.7231000625502357976 D2(449,839) = 0.02969373714388840818 C1(449,839) = 0.9878714953833287812 C2(449,839) = 1.887005199911659358 C3(449,839) = 5.974459347091855098 C4(449,839) = 6712 Sum = 3872.858313950020403 Averaged sum = 0.3869375875661924671 logp*logq = 41.11376486949867934 -------------- ************************************* p = 449; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 793181938125037539.5 -------------- Searches starting with [449,853]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(449,853) = 0.7932649796821060393 D2(449,853) = 0.02225455282382472007 C1(449,853) = 1.264748547540044706 C2(449,853) = 1.882602720406347736 C3(449,853) = 9.859996913373528148 C4(449,853) = 6824 Sum = 3235.038419685576977 Averaged sum = 0.3232129503132757495 logp*logq = 41.21482902040074357 -------------- ************************************* p = 449; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 816170716853282573.7 -------------- Searches starting with [449,857]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(449,857) = 0.6316041419851529815 D2(449,857) = 0.01851626488583379972 C1(449,857) = 0.8831522655240658448 C2(449,857) = 1.726528560858970298 C3(449,857) = 4.943188197924981441 C4(449,857) = 6856 Sum = 3903.543670154470398 Averaged sum = 0.3900033639878579676 logp*logq = 41.24339993982305241 -------------- ************************************* p = 449; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 827872399764474159.9 -------------- Searches starting with [449,859]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(449,859) = 0.5599078983921572139 D2(449,859) = 0.01757032969177642570 C1(449,859) = 0.7697367264210968932 C2(449,859) = 1.725998403561493027 C3(449,859) = 4.026075024211627260 C4(449,859) = 6872 Sum = 3907.694858166910416 Averaged sum = 0.3904181095181247293 logp*logq = 41.25763543085566349 -------------- ************************************* p = 449; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 851697020773733140.2 -------------- Searches starting with [449,863]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(449,863) = 0.6928500046515904494 D2(449,863) = 0.01569233646974236585 C1(449,863) = 1.057941764234681881 C2(449,863) = 1.724949030121762444 C3(449,863) = 6.782064222775845120 C4(449,863) = 6904 Sum = 3497.451982379536836 Averaged sum = 0.3494307105984151100 logp*logq = 41.28600724907547612 -------------- ************************************* p = 449; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 939649474687924065.1 -------------- Searches starting with [449,877]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(449,877) = 0.6636710863484036424 D2(449,877) = 0.007607119092372875475 C1(449,877) = 0.9369414261234794108 C2(449,877) = 1.414051547770205139 C3(449,877) = 5.448491240888517294 C4(449,877) = 7016 Sum = 3679.676654593655068 Averaged sum = 0.3676367923462538783 logp*logq = 41.38428330136234766 -------------- ************************************* p = 449; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 966129351778501859.8 -------------- Searches starting with [449,881]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(449,881) = 0.7736741997279019397 D2(449,881) = 0.005562656330538243266 C1(449,881) = 1.381826368894365767 C2(449,881) = 1.282540901630786726 C3(449,881) = 12.18652799187555352 C4(449,881) = 7048 Sum = 4114.011329098340117 Averaged sum = 0.4110312048254910697 logp*logq = 41.41207412469140219 -------------- ************************************* p = 449; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 979601503783649083.6 -------------- Searches starting with [449,883]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(449,883) = 0.9453198630703454741 D2(449,883) = 0.004450280992287878193 C1(449,883) = 1.688287427987677213 C2(449,883) = 1.165242319005814487 C3(449,883) = 21.21808309202384642 C4(449,883) = 7064 Sum = 3663.610203776135085 Averaged sum = 0.3660315919448631317 logp*logq = 41.42592225508720228 -------------- ************************************* p = 449; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.007017499578295482 E18 -------------- Searches starting with [449,887]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(449,887) = 0.9443509062854611246 D2(449,887) = 0.005357636323388052333 C1(449,887) = 1.686449751781912224 C2(449,887) = 1.920683379053002710 C3(449,887) = 21.14764666283238574 C4(449,887) = 7096 Sum = 3840.283425370983334 Averaged sum = 0.3836830278120674726 logp*logq = 41.45352466541101915 -------------- ************************************* p = 449; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.153919187816774185 E18 -------------- Searches starting with [449,907]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(449,907) = 0.6181440767421976515 D2(449,907) = 0.08841988035509142781 C1(449,907) = 0.9503302774669361325 C2(449,907) = 1.729453669342871808 C3(449,907) = 5.582099996113339767 C4(449,907) = 7256 Sum = 3819.303602833650206 Averaged sum = 0.3815869320445249482 logp*logq = 41.58969581163825249 -------------- ************************************* p = 449; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.185349620152344447 E18 -------------- Searches starting with [449,911]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(449,911) = 0.5314317000039420933 D2(449,911) = 0.1125065915044959623 C1(449,911) = 0.7528069518055548244 C2(449,911) = 1.856479349629165823 C3(449,911) = 3.904612555052899455 C4(449,911) = 7288 Sum = 4096.298622958369262 Averaged sum = 0.4092615269216074795 logp*logq = 41.61656944306797878 -------------- ************************************* p = 449; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.250361669353353914 E18 -------------- Searches starting with [449,919]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(449,919) = 0.9585191193950117058 D2(449,919) = 0.1276958054903261391 C1(449,919) = 1.292150600146779638 C2(449,919) = 1.382116515016983254 C3(449,919) = 10.36120154395097959 C4(449,919) = 7352 Sum = 4012.077486278247419 Averaged sum = 0.4008469863401186352 logp*logq = 41.66996451884027659 -------------- ************************************* p = 449; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.335795255317948104 E18 -------------- Searches starting with [449,929]-exponents: u = 19, v = 8 n_start has 75 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(449,929) = 1.059035257128700409 D2(449,929) = 0.1189630152455895093 C1(449,929) = 1.556746077754951725 C2(449,929) = 1.880148676819148676 C3(449,929) = 16.72388090110856080 C4(449,929) = 7432 Sum = 4884.761179347910889 Averaged sum = 0.4880368847385264151 logp*logq = 41.73605848525546361 -------------- ************************************* p = 449; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.407607907698329381 E18 -------------- Searches starting with [449,937]-exponents: u = 28, v = 8 n_start has 99 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(449,937) = 0.7188855157745898570 D2(449,937) = 0.07858270006312152190 C1(449,937) = 1.005869848501900299 C2(449,937) = 1.841330081665263483 C3(449,937) = 6.172232088131984715 C4(449,937) = 7496 Sum = 4067.881882304121282 Averaged sum = 0.4064224080631552884 logp*logq = 41.78842341820133594 -------------- ************************************* p = 449; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.444707372426497624 E18 -------------- Searches starting with [449,941]-exponents: u = 28, v = 8 n_start has 99 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(449,941) = 0.8357410599680350882 D2(449,941) = 0.06024327003496942499 C1(449,941) = 1.254538361779039536 C2(449,941) = 1.823766450016739577 C3(449,941) = 9.679508673701415606 C4(449,941) = 7528 Sum = 4248.016249830053360 Averaged sum = 0.4244196473004349446 logp*logq = 41.81443846451772206 -------------- ************************************* p = 449; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.501887641679305090 E18 -------------- Searches starting with [449,947]-exponents: u = 46, v = 8 n_start has 146 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(449,947) = 0.6824454911554157600 D2(449,947) = 0.03457483054275505063 C1(449,947) = 0.9500114481137681175 C2(449,947) = 1.799255462055328222 C3(449,947) = 5.578880597989765550 C4(449,947) = 7576 Sum = 4104.368676479967313 Averaged sum = 0.4100678066220368981 logp*logq = 41.85325441863061626 -------------- ************************************* p = 449; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.560948335326522626 E18 -------------- Searches starting with [449,953]-exponents: u = 73, v = 8 n_start has 218 digits starting right neighbors generation We generated 2926 left neighbors We generated 7084 right neighbors We generated 10009 non-negative rho_i D1(449,953) = 0.5981471073382246005 D2(449,953) = 0.01075102569436318491 C1(449,953) = 0.8437544739944641428 C2(449,953) = 1.776581698251102952 C3(449,953) = 4.603065943247978375 C4(449,953) = 7624 Sum = 4235.680017404142485 Averaged sum = 0.4231871333204258652 logp*logq = 41.89182521771409085 -------------- ************************************* p = 449; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.706348782402754855 E18 -------------- Searches starting with [449,967]-exponents: u = 9, v = 199 n_start has 618 digits --- performed 5000 steps in the continued fraction search [449,967]-exponents: u = 202, v = 4 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(449,967) = 0.6747387338687062614 D2(449,967) = 0.2224365349399911955 C1(449,967) = 0.9003447873983501601 C2(449,967) = 1.495278332308103753 C3(449,967) = 5.099381886827279189 C4(449,967) = 7736 Sum = 4817.030365569814980 Averaged sum = 0.4817512116781493129 logp*logq = 41.98088754661663723 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(449,967) = 0.6747387338687062614 D2(449,967) = 0.2224365349399911955 C1(449,967) = 0.9003447873983501601 C2(449,967) = 1.495278332308103753 C3(449,967) = 5.099381886827279189 C4(449,967) = 7736 Sum = 4817.030365569814980 Averaged sum = 0.4817512116781493129 logp*logq = 41.98088754661663723 -------------- ************************************* p = 449; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.749911993645856050 E18 -------------- Searches starting with [449,971]-exponents: u = 9, v = 95 n_start has 308 digits --- performed 5000 steps in the continued fraction search [449,971]-exponents: u = 11, v = 13 --- starting right neighbors generation We generated 5808 left neighbors We generated 4202 right neighbors We generated 10009 non-negative rho_i D1(449,971) = 0.7030605425991907065 D2(449,971) = 0.01883282428327275414 C1(449,971) = 0.9753045815226445501 C2(449,971) = 1.709228487139503120 C3(449,971) = 5.840138654573457955 C4(449,971) = 7768 Sum = 4197.002832748189638 Averaged sum = 0.4193228926714146905 logp*logq = 42.00609717121846837 -------------- ************************************* p = 449; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.816998348483049512 E18 -------------- Searches starting with [449,977]-exponents: u = 9, v = 47 n_start has 165 digits starting right neighbors generation We generated 1021 left neighbors We generated 8989 right neighbors We generated 10009 non-negative rho_i D1(449,977) = 0.7534882795315895245 D2(449,977) = 0.009757336861206086070 C1(449,977) = 1.083836471460267361 C2(449,977) = 1.529028862002934826 C3(449,977) = 7.107399445690639463 C4(449,977) = 7816 Sum = 4520.177665615327806 Averaged sum = 0.4516113163767936663 logp*logq = 42.04371755438131927 -------------- ************************************* p = 449; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.886222087915721939 E18 -------------- Searches starting with [449,983]-exponents: u = 9, v = 31 n_start has 117 digits starting right neighbors generation We generated 598 left neighbors We generated 9412 right neighbors We generated 10009 non-negative rho_i D1(449,983) = 0.6590686452609715598 D2(449,983) = 0.02668971508951696584 C1(449,983) = 0.9742073911323698544 C2(449,983) = 1.645175732919874313 C3(449,983) = 5.828555731674371866 C4(449,983) = 7864 Sum = 3957.490333920268052 Averaged sum = 0.3953931795304494007 logp*logq = 42.08110760722426315 -------------- ************************************* p = 449; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.981939445578235443 E18 -------------- Searches starting with [449,991]-exponents: u = 9, v = 23 n_start has 93 digits starting right neighbors generation We generated 400 left neighbors We generated 9610 right neighbors We generated 10009 non-negative rho_i D1(449,991) = 1.034295313197760881 D2(449,991) = 0.05183526138350502293 C1(449,991) = 1.489550024206316822 C2(449,991) = 1.745723960428472895 C3(449,991) = 14.80922807555859937 C4(449,991) = 7928 Sum = 4648.732754178828238 Averaged sum = 0.4644552656787719290 logp*logq = 42.13060755715338435 -------------- ************************************* p = 449; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.056363871879950888 E18 -------------- Searches starting with [449,997]-exponents: u = 9, v = 15 n_start has 69 digits starting right neighbors generation We generated 211 left neighbors We generated 9799 right neighbors We generated 10009 non-negative rho_i D1(449,997) = 0.7125260680293360757 D2(449,997) = 0.07539259293492956048 C1(449,997) = 1.108239555157346865 C2(449,997) = 1.879326994979457335 C3(449,997) = 7.428264994843817642 C4(449,997) = 7976 Sum = 3443.967979642226032 Averaged sum = 0.3440871195566216437 logp*logq = 42.16747098631289970 -------------- ************************************* p = 457; q = 461; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 20621716690273022.51 -------------- Searches starting with [457,461]-exponents: u = 1, v = 702 n_start has 1873 digits --- performed 5000 steps in the continued fraction search [457,461]-exponents: u = 107, v = 589 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(457,461) = 0.5925995827468714987 D2(457,461) = 0.2463913284952648967 C1(457,461) = 0.7564326960014746774 C2(457,461) = 1.230083893763883964 C3(457,461) = 3.938907682451711844 C4(457,461) = 3688 Sum = 5665.147344500950773 Averaged sum = 0.5665713915892540027 logp*logq = 37.56512112368459236 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(457,461) = 0.5925995827468714987 D2(457,461) = 0.2463913284952648967 C1(457,461) = 0.7564326960014746774 C2(457,461) = 1.230083893763883964 C3(457,461) = 3.938907682451711844 C4(457,461) = 3688 Sum = 5665.147344500950773 Averaged sum = 0.5665713915892540027 logp*logq = 37.56512112368459236 -------------- ************************************* p = 457; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 21175790065744539.10 -------------- Searches starting with [457,463]-exponents: u = 1, v = 469 n_start has 1253 digits --- performed 5000 steps in the continued fraction search [457,463]-exponents: u = 355, v = 105 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(457,463) = 0.6188688848348070707 D2(457,463) = 0.1488918033699931539 C1(457,463) = 0.8011607770526459766 C2(457,463) = 1.186219590478842950 C3(457,463) = 4.271501303268009827 C4(457,463) = 3704 Sum = 5448.200638913349740 Averaged sum = 0.5448745513464696209 logp*logq = 37.59163494600397383 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(457,463) = 0.6188688848348070707 D2(457,463) = 0.1488918033699931539 C1(457,463) = 0.8011607770526459766 C2(457,463) = 1.186219590478842950 C3(457,463) = 4.271501303268009827 C4(457,463) = 3704 Sum = 5448.200638913349740 Averaged sum = 0.5448745513464696209 logp*logq = 37.59163494600397383 -------------- ************************************* p = 457; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22321365735354496.24 -------------- Searches starting with [457,467]-exponents: u = 1, v = 282 n_start has 756 digits --- performed 5000 steps in the continued fraction search [457,467]-exponents: u = 77, v = 188 --- starting right neighbors generation We generated 8843 left neighbors We generated 1167 right neighbors We generated 10009 non-negative rho_i D1(457,467) = 0.9133410777905807259 D2(457,467) = 0.0004297856787556536100 C1(457,467) = 1.206362905114412535 C2(457,467) = 1.120907339323128549 C3(457,467) = 8.902428829676700343 C4(457,467) = 3736 Sum = 5157.406096863581585 Averaged sum = 0.5152768605118974508 logp*logq = 37.64432071941180199 -------------- ************************************* p = 457; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 26073924343353344.46 -------------- Searches starting with [457,479]-exponents: u = 1, v = 130 n_start has 352 digits starting right neighbors generation We generated 1991 left neighbors We generated 8019 right neighbors We generated 10009 non-negative rho_i D1(457,479) = 0.6549647504268046694 D2(457,479) = 0.006911857819886388460 C1(457,479) = 0.8984449711172278465 C2(457,479) = 1.262112441190955597 C3(457,479) = 5.095083914459635276 C4(457,479) = 3832 Sum = 4445.907739039494766 Averaged sum = 0.4441910020021475438 logp*logq = 37.79971214253447322 -------------- ************************************* p = 457; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28857851304478673.58 -------------- Searches starting with [457,487]-exponents: u = 1, v = 96 n_start has 261 digits starting right neighbors generation We generated 1109 left neighbors We generated 8901 right neighbors We generated 10009 non-negative rho_i D1(457,487) = 0.6037164708579489131 D2(457,487) = 0.01181921099475812544 C1(457,487) = 0.8428878920856092516 C2(457,487) = 1.328961659216582605 C3(457,487) = 4.607053683990995794 C4(457,487) = 3896 Sum = 4076.101396319792375 Averaged sum = 0.4072436203736429589 logp*logq = 37.90115849311042815 -------------- ************************************* p = 457; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30340457023234615.65 -------------- Searches starting with [457,491]-exponents: u = 1, v = 85 n_start has 232 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(457,491) = 0.5865217837561113300 D2(457,491) = 0.007322411389399585177 C1(457,491) = 0.8251607060900960832 C2(457,491) = 1.351965310039758667 C3(457,491) = 4.461393136234612319 C4(457,491) = 3928 Sum = 3986.341396956010450 Averaged sum = 0.3982756915731851783 logp*logq = 37.95125843210702698 -------------- ************************************* p = 457; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 33497438522969156.58 -------------- Searches starting with [457,499]-exponents: u = 1, v = 69 n_start has 189 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(457,499) = 0.5752598549646679503 D2(457,499) = 0.006674442492751823808 C1(457,499) = 0.8198381563971373116 C2(457,499) = 1.399426336162729205 C3(457,499) = 4.418564540654659069 C4(457,499) = 3992 Sum = 4494.792901200169097 Averaged sum = 0.4490751225097581274 logp*logq = 38.05024536881741750 -------------- ************************************* p = 457; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35176171292778410.35 -------------- Searches starting with [457,503]-exponents: u = 1, v = 63 n_start has 173 digits starting right neighbors generation We generated 491 left neighbors We generated 9519 right neighbors We generated 10009 non-negative rho_i D1(457,503) = 0.7198473426742885451 D2(457,503) = 0.01219249230638394485 C1(457,503) = 1.032371968827267248 C2(457,503) = 1.425946604479350425 C3(457,503) = 6.494759747276080948 C4(457,503) = 4024 Sum = 4769.744931843405220 Averaged sum = 0.4765456021424123508 logp*logq = 38.09914529636962832 -------------- ************************************* p = 457; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37825915262349031.24 -------------- Searches starting with [457,509]-exponents: u = 1, v = 56 n_start has 155 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(457,509) = 0.6834893687979955841 D2(457,509) = 0.02314680184497063402 C1(457,509) = 0.9885561503494527867 C2(457,509) = 1.465783746265391800 C3(457,509) = 5.998965666053533913 C4(457,509) = 4072 Sum = 4604.235453999315428 Averaged sum = 0.4600095368167964261 logp*logq = 38.17177085157851604 -------------- ************************************* p = 457; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43628560070863391.26 -------------- Searches starting with [457,521]-exponents: u = 1, v = 46 n_start has 128 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(457,521) = 0.5844745736514313494 D2(457,521) = 0.02734094675959408279 C1(457,521) = 0.8581000157180904710 C2(457,521) = 1.523470231517015020 C3(457,521) = 4.735834168841035629 C4(457,521) = 4168 Sum = 4237.787772455019347 Averaged sum = 0.4233977192981336144 logp*logq = 38.31448837831257393 -------------- ************************************* p = 457; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44664465579467615.63 -------------- Searches starting with [457,523]-exponents: u = 1, v = 45 n_start has 125 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(457,523) = 0.5709727611111856983 D2(457,523) = 0.03776795165538149178 C1(457,523) = 0.7992720823339124363 C2(457,523) = 1.540921504588530856 C3(457,523) = 4.256905237328254184 C4(457,523) = 4184 Sum = 4160.807075640987720 Averaged sum = 0.4157065716496141192 logp*logq = 38.33795462690766233 -------------- ************************************* p = 457; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54950024910165666.47 -------------- Searches starting with [457,541]-exponents: u = 1, v = 36 n_start has 102 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(457,541) = 0.6123805037759438020 D2(457,541) = 0.05532293755885378054 C1(457,541) = 0.8475895799284737746 C2(457,541) = 1.624446222753050094 C3(457,541) = 4.646478099676703152 C4(457,541) = 4328 Sum = 4050.701396836311068 Averaged sum = 0.4047059043696983783 logp*logq = 38.54520052908442883 -------------- ************************************* p = 457; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58790276408414498.78 -------------- Searches starting with [457,547]-exponents: u = 1, v = 34 n_start has 96 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(457,547) = 0.8128411025538734670 D2(457,547) = 0.05794006474240946077 C1(457,547) = 1.227191082833173657 C2(457,547) = 1.647230026350974899 C3(457,547) = 9.244895967048137705 C4(457,547) = 4376 Sum = 2516.273022917688179 Averaged sum = 0.2514010413545497232 logp*logq = 38.61275286893676781 -------------- ************************************* p = 457; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65689159896789869.58 -------------- Searches starting with [457,557]-exponents: u = 1, v = 30 n_start has 86 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(457,557) = 0.8782690665374861532 D2(457,557) = 0.04476197836788621078 C1(457,557) = 1.337539721669952159 C2(457,557) = 1.667921156227251150 C3(457,557) = 11.29160395263619968 C4(457,557) = 4456 Sum = 4616.080378461308472 Averaged sum = 0.4611929641783703139 logp*logq = 38.72371031282766881 -------------- ************************************* p = 457; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 70144412557330227.05 -------------- Searches starting with [457,563]-exponents: u = 1, v = 29 n_start has 83 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(457,563) = 0.6376747333941479001 D2(457,563) = 0.08785228498476580690 C1(457,563) = 0.8938749669518777464 C2(457,563) = 1.724041613970271046 C3(457,563) = 5.053058958552547088 C4(457,563) = 4504 Sum = 4289.766550973679291 Averaged sum = 0.4285909232664281438 logp*logq = 38.78933254835578669 -------------- ************************************* p = 457; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74849747227181417.32 -------------- Searches starting with [457,569]-exponents: u = 1, v = 27 n_start has 78 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(457,569) = 0.8396842303665298338 D2(457,569) = 0.01958818456295821827 C1(457,569) = 1.291614364392107502 C2(457,569) = 1.682184453324579902 C3(457,569) = 10.38983234296430871 C4(457,569) = 4552 Sum = 4330.522098101566150 Averaged sum = 0.4326628132782062294 logp*logq = 38.85425912871225585 -------------- ************************************* p = 457; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76475686975992075.71 -------------- Searches starting with [457,571]-exponents: u = 1, v = 27 n_start has 78 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(457,571) = 1.282794603086672308 D2(457,571) = 0.05796568680047421136 C1(457,571) = 1.857816813551136316 C2(457,571) = 1.721073006562295502 C3(457,571) = 28.99060148700414486 C4(457,571) = 4568 Sum = 5515.127255160578656 Averaged sum = 0.5510168103867098267 logp*logq = 38.87574926792125865 -------------- ************************************* p = 457; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81531914837844729.99 -------------- Searches starting with [457,577]-exponents: u = 1, v = 26 n_start has 75 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(457,577) = 0.6247218514536633975 D2(457,577) = 0.07179154734079715469 C1(457,577) = 0.8660611235655446012 C2(457,577) = 1.749936990153068529 C3(457,577) = 4.804658716483916289 C4(457,577) = 4616 Sum = 4187.198850778366277 Averaged sum = 0.4183433760394011666 logp*logq = 38.93977093160732312 -------------- ************************************* p = 457; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 90579891077679715.61 -------------- Searches starting with [457,587]-exponents: u = 1, v = 24 n_start has 70 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(457,587) = 0.7041431899822558128 D2(457,587) = 0.03200223303068396231 C1(457,587) = 1.028709404054077102 C2(457,587) = 1.742245042766419462 C3(457,587) = 6.451791819915684242 C4(457,587) = 4696 Sum = 3980.463909496496699 Averaged sum = 0.3976884713254567588 logp*logq = 39.04500863053946213 -------------- ************************************* p = 457; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 96401107318926820.17 -------------- Searches starting with [457,593]-exponents: u = 1, v = 23 n_start has 67 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(457,593) = 0.9165455964344705141 D2(457,593) = 0.01632928126532860226 C1(457,593) = 1.343360780686137528 C2(457,593) = 1.744333442581742381 C3(457,593) = 11.41135713393011315 C4(457,593) = 4744 Sum = 4500.162822329283347 Averaged sum = 0.4496116317643404283 logp*logq = 39.10729408317207256 -------------- ************************************* p = 457; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102532117964454290.8 -------------- Searches starting with [457,599]-exponents: u = 1, v = 22 n_start has 64 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(457,599) = 0.6033835369511079702 D2(457,599) = 0.1195500381009268332 C1(457,599) = 0.8599189431787536000 C2(457,599) = 1.849053132487010818 C3(457,599) = 4.751471565866006265 C4(457,599) = 4792 Sum = 4223.007229727883323 Averaged sum = 0.4219209940781180260 logp*logq = 39.16895249040122091 -------------- ************************************* p = 457; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104646889513858016.7 -------------- Searches starting with [457,601]-exponents: u = 1, v = 22 n_start has 64 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(457,601) = 0.6280985924197723731 D2(457,601) = 0.01971984881022325871 C1(457,601) = 0.8960367088328029532 C2(457,601) = 1.767116234064751495 C3(457,601) = 5.072894579094161364 C4(457,601) = 4808 Sum = 4230.994871327698195 Averaged sum = 0.4227190399967727241 logp*logq = 39.18936812060757689 -------------- ************************************* p = 457; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111211461968261235.8 -------------- Searches starting with [457,607]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(457,607) = 0.6409018849058630717 D2(457,607) = 0.1176989222643314216 C1(457,607) = 0.8703349521803601874 C2(457,607) = 1.866583578322525934 C3(457,607) = 4.842018060220482891 C4(457,607) = 4856 Sum = 4058.569988786509410 Averaged sum = 0.4054920560282255380 logp*logq = 39.25020984666942607 -------------- ************************************* p = 457; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118117125943833284.3 -------------- Searches starting with [457,613]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(457,613) = 0.7823145927514303383 D2(457,613) = 0.06719062782324384800 C1(457,613) = 1.064160811910449749 C2(457,613) = 1.836239313086183919 C3(457,613) = 6.879922860003778343 C4(457,613) = 4904 Sum = 4136.515085559902335 Averaged sum = 0.4132795569547309756 logp*logq = 39.31045311982626015 -------------- ************************************* p = 457; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122917353218075050.6 -------------- Searches starting with [457,617]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(457,617) = 0.8334977976126907191 D2(457,617) = 0.1346191644752660602 C1(457,617) = 1.156765111875286523 C2(457,617) = 1.904648639983556093 C3(457,617) = 8.137123333531364587 C4(457,617) = 4936 Sum = 4311.987894889471830 Averaged sum = 0.4308110595353653542 logp*logq = 39.35028859938398975 -------------- ************************************* p = 457; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125378003687234732.3 -------------- Searches starting with [457,619]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(457,619) = 0.5868056412772232907 D2(457,619) = 0.01284912567904056951 C1(457,619) = 0.9361663630590265110 C2(457,619) = 1.803515184764795932 C3(457,619) = 5.455583807431713775 C4(457,619) = 4952 Sum = 3912.483416822508358 Averaged sum = 0.3908965348009299988 logp*logq = 39.37010959853080840 -------------- ************************************* p = 457; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141024091489454156.5 -------------- Searches starting with [457,631]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(457,631) = 1.095542827857770344 D2(457,631) = 0.02322051550954270294 C1(457,631) = 1.758312973915073725 C2(457,631) = 1.838628877066098547 C3(457,631) = 24.20691144475592729 C4(457,631) = 5048 Sum = 4541.648528947780832 Averaged sum = 0.4537564720699151595 logp*logq = 39.48770713232100262 -------------- ************************************* p = 457; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 155280440357713599.4 -------------- Searches starting with [457,641]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(457,641) = 0.7191860809278240105 D2(457,641) = 0.1289735784537815229 C1(457,641) = 0.9673456123433894289 C2(457,641) = 1.340027076387686210 C3(457,641) = 5.772738819403367792 C4(457,641) = 5128 Sum = 3887.414794983116094 Averaged sum = 0.3883919267642238080 logp*logq = 39.58400916966201965 -------------- ************************************* p = 457; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 158271640540432875.5 -------------- Searches starting with [457,643]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(457,643) = 0.8037558436324810093 D2(457,643) = 0.01395461394501911191 C1(457,643) = 1.298474354839225887 C2(457,643) = 1.856005779675269780 C3(457,643) = 10.51981072198736543 C4(457,643) = 5144 Sum = 3607.091911348037677 Averaged sum = 0.3603848447745067116 logp*logq = 39.60308919565633487 -------------- ************************************* p = 457; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164398844685122984.8 -------------- Searches starting with [457,647]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(457,647) = 0.5552637325393786662 D2(457,647) = 0.06076315789987641494 C1(457,647) = 0.7772844134746196043 C2(457,647) = 1.903770275126324017 C3(457,647) = 4.090607855012848036 C4(457,647) = 5176 Sum = 4176.920945351728856 Averaged sum = 0.4173165096764640679 logp*logq = 39.64107185004531650 -------------- ************************************* p = 457; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173961045126807365.6 -------------- Searches starting with [457,653]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(457,653) = 0.6797152119137531953 D2(457,653) = 0.1274933825272100591 C1(457,653) = 0.9422978012165925138 C2(457,653) = 1.416784124572262866 C3(457,653) = 5.516545269121544119 C4(457,653) = 5224 Sum = 3965.724804469194257 Averaged sum = 0.3962158861493849792 logp*logq = 39.69760779047909677 -------------- ************************************* p = 457; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 183984263913579899.3 -------------- Searches starting with [457,659]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(457,659) = 0.5989037009689738721 D2(457,659) = 0.02661197162291298562 C1(457,659) = 0.8535344537330578716 C2(457,659) = 1.898471083594330212 C3(457,659) = 4.696810166839172873 C4(457,659) = 5272 Sum = 4194.866222937692950 Averaged sum = 0.4191094238123381906 logp*logq = 39.75362662665363337 -------------- ************************************* p = 457; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187430834105374031.8 -------------- Searches starting with [457,661]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(457,661) = 0.7407562065842626983 D2(457,661) = 0.04832055686377399198 C1(457,661) = 1.040597959953883746 C2(457,661) = 1.920650656208200381 C3(457,661) = 6.592310179124130741 C4(457,661) = 5288 Sum = 4234.318258566949006 Averaged sum = 0.4230510798847985819 logp*logq = 39.77218628749508826 -------------- ************************************* p = 457; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 209265142281227428.5 -------------- Searches starting with [457,673]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(457,673) = 0.5865921658955574195 D2(457,673) = 0.1429455670156710106 C1(457,673) = 0.8169429993772226572 C2(457,673) = 1.781675100676751738 C3(457,673) = 4.395441175655069851 C4(457,673) = 5384 Sum = 4189.466961770269164 Averaged sum = 0.4185699831921539778 logp*logq = 39.88237846620797226 -------------- ************************************* p = 457; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 216999835961723247.0 -------------- Searches starting with [457,677]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(457,677) = 0.5623099746214862260 D2(457,677) = 0.03232597119297600987 C1(457,677) = 0.7929337231812270204 C2(457,677) = 1.937049790898564127 C3(457,677) = 4.208285189590995909 C4(457,677) = 5416 Sum = 3998.157295765627234 Averaged sum = 0.3994562189794811903 logp*logq = 39.91867299251409986 -------------- ************************************* p = 457; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 229049530889173384.4 -------------- Searches starting with [457,683]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(457,683) = 0.7410826791232052641 D2(457,683) = 0.09623057462779133510 C1(457,683) = 1.062826712213598038 C2(457,683) = 2.002337966131219317 C3(457,683) = 6.863308504004488743 C4(457,683) = 5464 Sum = 3833.935265687335583 Averaged sum = 0.3830487826643356562 logp*logq = 39.97271466716962280 -------------- ************************************* p = 457; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 245982400591748720.3 -------------- Searches starting with [457,691]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(457,691) = 0.5782544200637064383 D2(457,691) = 0.1293355509620589739 C1(457,691) = 0.8181016210808519282 C2(457,691) = 1.794442287022423949 C3(457,691) = 4.404680426399286641 C4(457,691) = 5528 Sum = 3826.976845398853711 Averaged sum = 0.3823535663301882018 logp*logq = 40.04403638597381039 -------------- ************************************* p = 457; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 268609816280312091.3 -------------- Searches starting with [457,701]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(457,701) = 0.6713972488415822080 D2(457,701) = 0.06296907269629039669 C1(457,701) = 0.9892100912144524440 C2(457,701) = 2.005003547302086695 C3(457,701) = 6.006079583288039524 C4(457,701) = 5608 Sum = 3478.436014141348694 Averaged sum = 0.3475308236728293230 logp*logq = 40.13203622442403363 -------------- ************************************* p = 457; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287942419734562650.5 -------------- Searches starting with [457,709]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(457,709) = 0.8249921289134978156 D2(457,709) = 0.08901287799826428954 C1(457,709) = 1.377107286178088059 C2(457,709) = 1.248568630692902599 C3(457,709) = 12.13105634528618664 C4(457,709) = 5672 Sum = 3783.346163368711757 Averaged sum = 0.3779944213576492914 logp*logq = 40.20153692358045606 -------------- ************************************* p = 457; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 313732844582080478.0 -------------- Searches starting with [457,719]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(457,719) = 0.8289758118332348506 D2(457,719) = 0.003031308693663076512 C1(457,719) = 1.275152638453578572 C2(457,719) = 1.984734956696916027 C3(457,719) = 10.08443995268762356 C4(457,719) = 5752 Sum = 3526.309709084439772 Averaged sum = 0.3523138884088759888 logp*logq = 40.28731820523889744 -------------- ************************************* p = 457; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 335731645203193957.2 -------------- Searches starting with [457,727]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(457,727) = 0.6729896358425474558 D2(457,727) = 0.06896198602754134486 C1(457,727) = 0.9591188704753655074 C2(457,727) = 2.052435387035502075 C3(457,727) = 5.687308346413811565 C4(457,727) = 5816 Sum = 3726.191647479639269 Averaged sum = 0.3722841090498190897 logp*logq = 40.35508856077260325 -------------- ************************************* p = 457; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 353065048293608789.2 -------------- Searches starting with [457,733]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(457,733) = 0.9091179713913262901 D2(457,733) = 0.07097670285684643124 C1(457,733) = 1.533439044397619121 C2(457,733) = 1.188695106649168063 C3(457,733) = 16.10440892650441859 C4(457,733) = 5864 Sum = 3417.824534363419993 Averaged sum = 0.3414751258231012082 logp*logq = 40.40542870765426475 -------------- ************************************* p = 457; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 371141010805840923.4 -------------- Searches starting with [457,739]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(457,739) = 0.7504141658648622063 D2(457,739) = 0.09606121303993359689 C1(457,739) = 1.089790963101658556 C2(457,739) = 1.824121544979386556 C3(457,739) = 7.207035173018818398 C4(457,739) = 5912 Sum = 4381.723472590681131 Averaged sum = 0.4377783467469958169 logp*logq = 40.45535846833947290 -------------- ************************************* p = 457; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 383616698246219707.7 -------------- Searches starting with [457,743]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(457,743) = 0.8911236906221505346 D2(457,743) = 0.09325144490869416233 C1(457,743) = 1.273872565658232624 C2(457,743) = 1.822251753082297313 C3(457,743) = 10.06107207002171688 C4(457,743) = 5944 Sum = 4661.759497393771493 Averaged sum = 0.4657567686475943144 logp*logq = 40.48842026733287227 -------------- ************************************* p = 457; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 409622836285829245.5 -------------- Searches starting with [457,751]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(457,751) = 0.9749704435691370412 D2(457,751) = 0.01536842390099428679 C1(457,751) = 1.453968291906723110 C2(457,751) = 2.044387872408439108 C3(457,751) = 13.94423394225743629 C4(457,751) = 6008 Sum = 3810.410560361374610 Averaged sum = 0.3806984274514311729 logp*logq = 40.55401321973281232 -------------- ************************************* p = 457; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 430081452695408611.5 -------------- Searches starting with [457,757]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(457,757) = 0.6046267628368582693 D2(457,757) = 0.05974179746988297601 C1(457,757) = 1.031983896524961279 C2(457,757) = 2.090048275895585670 C3(457,757) = 6.490193498175187420 C4(457,757) = 6056 Sum = 3767.367024274165195 Averaged sum = 0.3763979442775667094 logp*logq = 40.60275101053271070 -------------- ************************************* p = 457; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 444189972385738467.8 -------------- Searches starting with [457,761]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(457,761) = 1.197216725775228726 D2(457,761) = 0.04811348720351296421 C1(457,761) = 2.043161074475052345 C2(457,761) = 1.076590562296325409 C3(457,761) = 40.56380274784572240 C4(457,761) = 6088 Sum = 1050.722879469636509 Averaged sum = 0.1049778079198357987 logp*logq = 40.63502873156811349 -------------- ************************************* p = 457; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 473571022927815475.7 -------------- Searches starting with [457,769]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(457,769) = 0.9413288300668532289 D2(457,769) = 0.07724342580954868187 C1(457,769) = 1.275053358627448335 C2(457,769) = 1.842891144250846143 C3(457,769) = 10.08262564768543005 C4(457,769) = 6152 Sum = 3718.537089569732098 Averaged sum = 0.3715193415495785890 logp*logq = 40.69907829191228574 -------------- ************************************* p = 457; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 488860532304938773.8 -------------- Searches starting with [457,773]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(457,773) = 0.7000158016015467640 D2(457,773) = 0.07465973531602042809 C1(457,773) = 1.048779384546914437 C2(457,773) = 1.841224891878403040 C3(457,773) = 6.690785374776441816 C4(457,773) = 6184 Sum = 3793.783988683646973 Averaged sum = 0.3790372653295680860 logp*logq = 40.73085363369509703 -------------- ************************************* p = 457; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 545667821385814800.2 -------------- Searches starting with [457,787]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(457,787) = 0.5643435503009184740 D2(457,787) = 0.001866716635035433608 C1(457,787) = 0.8271535863490088001 C2(457,787) = 2.084675345723589161 C3(457,787) = 4.477535710519220444 C4(457,787) = 6296 Sum = 3983.642730547856171 Averaged sum = 0.3980060675939510612 logp*logq = 40.84078679977362437 -------------- ************************************* p = 457; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 589540425332326929.2 -------------- Searches starting with [457,797]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(457,797) = 1.160665897906563900 D2(457,797) = 0.03458683810370676000 C1(457,797) = 2.007210591049952556 C2(457,797) = 1.059112531096427747 C3(457,797) = 38.00516520475912677 C4(457,797) = 6376 Sum = 917.3413993758542845 Averaged sum = 0.09165165344948089564 logp*logq = 40.91811968816426700 -------------- ************************************* p = 457; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 646046847927563613.7 -------------- Searches starting with [457,809]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(457,809) = 0.5839544874270122413 D2(457,809) = 0.05383447296931321648 C1(457,809) = 0.8017234944464399234 C2(457,809) = 1.863474145014708938 C3(457,809) = 4.275859721777804096 C4(457,809) = 6472 Sum = 4108.216474743398677 Averaged sum = 0.4104522404579277328 logp*logq = 41.00964841607554657 -------------- ************************************* p = 457; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 655891057249831124.9 -------------- Searches starting with [457,811]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(457,811) = 0.7332617377307501453 D2(457,811) = 0.05266418764125065940 C1(457,811) = 1.107049000068982755 C2(457,811) = 1.862748062352145929 C3(457,811) = 7.436013339690483392 C4(457,811) = 6488 Sum = 3221.524472230012079 Averaged sum = 0.3218627707293447976 logp*logq = 41.02477109879791344 -------------- ************************************* p = 457; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 707015817087436257.0 -------------- Searches starting with [457,821]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(457,821) = 1.488551590230311885 D2(457,821) = 0.04314414512335434363 C1(457,821) = 2.046364882498782203 C2(457,821) = 1.709897123410379470 C3(457,821) = 40.80001540515434957 C4(457,821) = 6568 Sum = 4737.541077156551997 Averaged sum = 0.4733281124144821657 logp*logq = 41.09982943267502043 -------------- ************************************* p = 457; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 717630599426271264.7 -------------- Searches starting with [457,823]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(457,823) = 0.5785570450267732583 D2(457,823) = 0.04210423302887857304 C1(457,823) = 0.8379055442859081293 C2(457,823) = 1.709283100743067815 C3(457,823) = 4.565640883246631200 C4(457,823) = 6584 Sum = 3674.996310131500632 Averaged sum = 0.3671691787522730174 logp*logq = 41.11473134608711322 -------------- ************************************* p = 457; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 739260560438683944.0 -------------- Searches starting with [457,827]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(457,827) = 0.8164898533259967419 D2(457,827) = 0.03791024532183273477 C1(457,827) = 1.236114179364470145 C2(457,827) = 1.617156170959371925 C3(457,827) = 9.395615847014336252 C4(457,827) = 6616 Sum = 3249.011405362901030 Averaged sum = 0.3246089924430913208 logp*logq = 41.14442683888271038 -------------- ************************************* p = 457; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 750278426069362053.8 -------------- Searches starting with [457,829]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(457,829) = 0.8308473772879621411 D2(457,829) = 0.03694195303526797148 C1(457,829) = 1.175460069462825596 C2(457,829) = 1.616598015571570948 C3(457,829) = 8.417543975364844697 C4(457,829) = 6632 Sum = 4506.216745085403483 Averaged sum = 0.4502164796768312002 logp*logq = 41.15922076730961678 -------------- ************************************* p = 457; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 807451267143645314.8 -------------- Searches starting with [457,839]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(457,839) = 0.7085874514871803534 D2(457,839) = 0.01797697676253294111 C1(457,839) = 1.244301110977949825 C2(457,839) = 2.164998687809081829 C3(457,839) = 9.536061685092348618 C4(457,839) = 6712 Sum = 3915.251881199647667 Averaged sum = 0.3911731323008939622 logp*logq = 41.23265909789983770 -------------- ************************************* p = 457; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 893582902910559542.0 -------------- Searches starting with [457,853]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(457,853) = 0.5364835502531477999 D2(457,853) = 0.03018105718763385915 C1(457,853) = 0.7399274785833603198 C2(457,853) = 1.889928161248946841 C3(457,853) = 3.822828503992707203 C4(457,853) = 6824 Sum = 3904.154858103247381 Averaged sum = 0.3900644278252819843 logp*logq = 41.33401550966097576 -------------- ************************************* p = 457; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 919557574010767818.5 -------------- Searches starting with [457,857]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(457,857) = 0.6771887786516725231 D2(457,857) = 0.02806193576560155083 C1(457,857) = 1.003490893165466556 C2(457,857) = 1.888667305058303992 C3(457,857) = 6.163554892149765235 C4(457,857) = 6856 Sum = 3940.644377163217861 Averaged sum = 0.3937100986275569848 logp*logq = 41.36266905147094989 -------------- ************************************* p = 457; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 932779943792998896.8 -------------- Searches starting with [457,859]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(457,859) = 0.5305650011061785379 D2(457,859) = 0.02701041278156687277 C1(457,859) = 0.7363433952485392612 C2(457,859) = 1.888043385241443502 C3(457,859) = 3.798077673989169199 C4(457,859) = 6872 Sum = 4056.715674008086726 Averaged sum = 0.4053067912886488886 logp*logq = 41.37694570919621503 -------------- ************************************* p = 457; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 959702345031330942.3 -------------- Searches starting with [457,863]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(457,863) = 0.6277469753000270698 D2(457,863) = 0.02492317679237029093 C1(457,863) = 0.8666468660094548907 C2(457,863) = 1.886808320612852372 C3(457,863) = 4.809761843167776224 C4(457,863) = 6904 Sum = 4068.502848391779830 Averaged sum = 0.4064844488352262794 logp*logq = 41.40539957403584683 -------------- ************************************* p = 457; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.059109171528025512 E18 -------------- Searches starting with [457,877]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(457,877) = 0.7621366547911836375 D2(457,877) = 0.01631634201892254257 C1(457,877) = 1.111707823814700229 C2(457,877) = 1.727780809299679914 C3(457,877) = 7.499063725511898344 C4(457,877) = 7016 Sum = 4186.330426147365684 Averaged sum = 0.4182566116642387535 logp*logq = 41.50395982446035056 -------------- ************************************* p = 457; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.089043012455323409 E18 -------------- Searches starting with [457,881]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(457,881) = 1.032629712554333154 D2(457,881) = 0.01369642974906458874 C1(457,881) = 1.577612166919473250 C2(457,881) = 1.632873328549618284 C3(457,881) = 17.44667744650536978 C4(457,881) = 7048 Sum = 3468.163971449189730 Averaged sum = 0.3465045430561684214 logp*logq = 41.53183101426780543 -------------- ************************************* p = 457; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.104273350480908370 E18 -------------- Searches starting with [457,883]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(457,883) = 0.7723581380632768552 D2(457,883) = 0.01283629149731889400 C1(457,883) = 1.074374838526777712 C2(457,883) = 1.632405010586671349 C3(457,883) = 7.008464245667320050 C4(457,883) = 7064 Sum = 4262.123018488162494 Averaged sum = 0.4258290556986874307 logp*logq = 41.54571919117317314 -------------- ************************************* p = 457; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.135269138463864950 E18 -------------- Searches starting with [457,887]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(457,887) = 0.8216674202995080025 D2(457,887) = 0.01068124318768296210 C1(457,887) = 1.110311541473459561 C2(457,887) = 1.565959912365025633 C3(457,887) = 7.480111182715835768 C4(457,887) = 7096 Sum = 3671.796805546090117 Averaged sum = 0.3668495159902178157 logp*logq = 41.57340142311604823 -------------- ************************************* p = 457; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.301392285157313470 E18 -------------- Searches starting with [457,907]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(457,907) = 0.7512009029220534294 D2(457,907) = 0.003331911378565920826 C1(457,907) = 1.342458846382255309 C2(457,907) = 1.922201710992198788 C3(457,907) = 11.39271936694068410 C4(457,907) = 7256 Sum = 4010.441815106531670 Averaged sum = 0.4006835663009822830 logp*logq = 41.70996635384374212 -------------- ************************************* p = 457; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.336943482690286357 E18 -------------- Searches starting with [457,911]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(457,911) = 0.6535588881313063019 D2(457,911) = 0.001421577125693934157 C1(457,911) = 0.9246394166173432794 C2(457,911) = 1.921117085159687299 C3(457,911) = 5.342795612934130328 C4(457,911) = 7288 Sum = 3691.258004606042024 Averaged sum = 0.3687938859632372888 logp*logq = 41.73691769938413953 -------------- ************************************* p = 457; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.410487671660524695 E18 -------------- Searches starting with [457,919]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(457,919) = 0.5875094878284220876 D2(457,919) = 0.06078093287914705790 C1(457,919) = 0.8073109376969249299 C2(457,919) = 1.633734661934485244 C3(457,919) = 4.319378219819674043 C4(457,919) = 7352 Sum = 3888.708712736721061 Averaged sum = 0.3885212021916995765 logp*logq = 41.79046718491079866 -------------- ************************************* p = 457; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.507150241284501424 E18 -------------- Searches starting with [457,929]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(457,929) = 0.5748037482305799739 D2(457,929) = 0.1111311997622699339 C1(457,929) = 0.7981866140246719286 C2(457,929) = 1.857956107530763639 C3(457,929) = 4.248539184555267598 C4(457,929) = 7432 Sum = 4096.727152014350165 Averaged sum = 0.4093043412942701733 logp*logq = 41.85675228417805722 -------------- ************************************* p = 457; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.588415492864270200 E18 -------------- Searches starting with [457,937]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(457,937) = 0.6721386184807069693 D2(457,937) = 0.1326235822190303679 C1(457,937) = 0.9115713983906970960 C2(457,937) = 1.428177942020195144 C3(457,937) = 5.217746041872932114 C4(457,937) = 7496 Sum = 4017.573150169806599 Averaged sum = 0.4013960585642728143 logp*logq = 41.90926864787510594 -------------- ************************************* p = 457; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.630403045649471534 E18 -------------- Searches starting with [457,941]-exponents: u = 19, v = 8 n_start has 75 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(457,941) = 0.8547186665665070137 D2(457,941) = 0.1211961894938181031 C1(457,941) = 1.138005560159883673 C2(457,941) = 1.348799500889352588 C3(457,941) = 7.865123787707717917 C4(457,941) = 7528 Sum = 3749.463440782447056 Averaged sum = 0.3746091958020228850 logp*logq = 41.93535892541559487 -------------- ************************************* p = 457; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.695123254951573782 E18 -------------- Searches starting with [457,947]-exponents: u = 19, v = 8 n_start has 75 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(457,947) = 0.6757268108418096531 D2(457,947) = 0.1210753586132181562 C1(457,947) = 0.9938085924592509563 C2(457,947) = 1.885055127341633835 C3(457,947) = 6.056343337863962313 C4(457,947) = 7576 Sum = 3612.443585770424860 Averaged sum = 0.3609195309991432571 logp*logq = 41.97428712886708786 -------------- ************************************* p = 457; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.761979326459751043 E18 -------------- Searches starting with [457,953]-exponents: u = 19, v = 8 n_start has 75 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(457,953) = 1.395408864419696968 D2(457,953) = 0.09066293497447327731 C1(457,953) = 2.154348064032332511 C2(457,953) = 1.855792522787768603 C3(457,953) = 49.61947021274284081 C4(457,953) = 7624 Sum = 5374.602841318196366 Averaged sum = 0.5369770048274749092 logp*logq = 42.01296946834124186 -------------- ************************************* p = 457; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.926601706156321247 E18 -------------- Searches starting with [457,967]-exponents: u = 46, v = 8 n_start has 147 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(457,967) = 0.6550518359389628500 D2(457,967) = 0.02961754313028044430 C1(457,967) = 0.9513055641599161708 C2(457,967) = 1.797401752779821371 C3(457,967) = 5.607342052799442645 C4(457,967) = 7736 Sum = 4186.553517192210054 Averaged sum = 0.4182789007085832805 logp*logq = 42.10228935081272288 -------------- ************************************* p = 457; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.975932035213040535 E18 -------------- Searches starting with [457,971]-exponents: u = 64, v = 8 n_start has 195 digits starting right neighbors generation We generated 2297 left neighbors We generated 7713 right neighbors We generated 10009 non-negative rho_i D1(457,971) = 0.7431475476312564891 D2(457,971) = 0.01408833326779842677 C1(457,971) = 1.057061225406775442 C2(457,971) = 1.782623853113486815 C3(457,971) = 6.791967520068799707 C4(457,971) = 7768 Sum = 4493.832966037858618 Averaged sum = 0.4489792153100068557 logp*logq = 42.12757187749187122 -------------- ************************************* p = 457; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.051906536397148901 E18 -------------- Searches starting with [457,977]-exponents: u = 145, v = 8 n_start has 410 digits --- performed 5000 steps in the continued fraction search [457,977]-exponents: u = 33, v = 67 --- --- performed 1000 steps in the first trivial search [457,977]-exponents: u = 31, v = 7 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(457,977) = 0.5770998763796265831 D2(457,977) = 0.02678802168014112203 C1(457,977) = 0.7872565330579796326 C2(457,977) = 1.629343552153077067 C3(457,977) = 4.165208444328088055 C4(457,977) = 7816 Sum = 4479.089258582050262 Averaged sum = 0.4479537212303280589 logp*logq = 42.16530105259928134 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(457,977) = 0.5770998763796265831 D2(457,977) = 0.02678802168014112203 C1(457,977) = 0.7872565330579796326 C2(457,977) = 1.629343552153077067 C3(457,977) = 4.165208444328088055 C4(457,977) = 7816 Sum = 4479.089258582050262 Averaged sum = 0.4479537212303280589 logp*logq = 42.16530105259928134 -------------- ************************************* p = 457; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.130310103062537749 E18 -------------- Searches starting with [457,983]-exponents: u = 9, v = 2247 n_start has 6749 digits --- performed 5000 steps in the continued fraction search [457,983]-exponents: u = 1916, v = 550 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(457,983) = 0.7245500935054467745 D2(457,983) = 0.5816957923788266003 C1(457,983) = 0.8921008149552556598 C2(457,983) = 1.511212895442380746 C3(457,983) = 5.036837729759493884 C4(457,983) = 7864 Sum = 6121.382275642271349 Averaged sum = 0.6121994475089780326 logp*logq = 42.20279923130948039 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(457,983) = 0.7245500935054467745 D2(457,983) = 0.5816957923788266003 C1(457,983) = 0.8921008149552556598 C2(457,983) = 1.511212895442380746 C3(457,983) = 5.036837729759493884 C4(457,983) = 7864 Sum = 6121.382275642271349 Averaged sum = 0.6121994475089780326 logp*logq = 42.20279923130948039 -------------- ************************************* p = 457; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.238734280998286429 E18 -------------- Searches starting with [457,991]-exponents: u = 9, v = 87 n_start has 285 digits starting right neighbors generation We generated 4908 left neighbors We generated 5102 right neighbors We generated 10009 non-negative rho_i D1(457,991) = 0.5415681603198580476 D2(457,991) = 0.02104946524604189712 C1(457,991) = 0.7556393890613412706 C2(457,991) = 1.714352379052704546 C3(457,991) = 3.933248659312507984 C4(457,991) = 7928 Sum = 4063.676550251594637 Averaged sum = 0.4060022529974617481 logp*logq = 42.25244232693132518 -------------- ************************************* p = 457; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.323049320991782802 E18 -------------- Searches starting with [457,997]-exponents: u = 9, v = 47 n_start has 165 digits starting right neighbors generation We generated 1021 left neighbors We generated 8989 right neighbors We generated 10009 non-negative rho_i D1(457,997) = 0.5826762023087414578 D2(457,997) = 0.009949628922934366834 C1(457,997) = 0.8385437734520277809 C2(457,997) = 1.531907279827831092 C3(457,997) = 4.570924924083903702 C4(457,997) = 7976 Sum = 4094.769649193659073 Averaged sum = 0.4091087670290397715 logp*logq = 42.28941235904924274 -------------- ************************************* p = 461; q = 463; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 22339283197489331.36 -------------- Searches starting with [461,463]-exponents: u = 1, v = 1416 n_start has 3778 digits --- performed 5000 steps in the continued fraction search [461,463]-exponents: u = 755, v = 659 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(461,463) = 0.6227097870894154660 D2(461,463) = 0.3870414314869171618 C1(461,463) = 0.7783593192795414641 C2(461,463) = 1.293433484678427376 C3(461,463) = 4.103122953246560431 C4(461,463) = 3704 Sum = 5997.737118816539749 Averaged sum = 0.5998336952511790927 logp*logq = 37.64512310198009275 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(461,463) = 0.6227097870894154660 D2(461,463) = 0.3870414314869171618 C1(461,463) = 0.7783593192795414641 C2(461,463) = 1.293433484678427376 C3(461,463) = 4.103122953246560431 C4(461,463) = 3704 Sum = 5997.737118816539749 Averaged sum = 0.5998336952511790927 logp*logq = 37.64512310198009275 -------------- ************************************* p = 461; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 23549567278056048.79 -------------- Searches starting with [461,467]-exponents: u = 1, v = 474 n_start has 1268 digits --- performed 5000 steps in the continued fraction search [461,467]-exponents: u = 305, v = 160 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(461,467) = 0.6918445582363740351 D2(461,467) = 0.1516062306920664321 C1(461,467) = 0.8954415907288376446 C2(461,467) = 1.188387214215543679 C3(461,467) = 5.073882095021106449 C4(461,467) = 3736 Sum = 5450.775819783939477 Averaged sum = 0.5451320951879127390 logp*logq = 37.69788384059945820 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(461,467) = 0.6918445582363740351 D2(461,467) = 0.1516062306920664321 C1(461,467) = 0.8954415907288376446 C2(461,467) = 1.188387214215543679 C3(461,467) = 5.073882095021106449 C4(461,467) = 3736 Sum = 5450.775819783939477 Averaged sum = 0.5451320951879127390 logp*logq = 37.69788384059945820 -------------- ************************************* p = 461; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 27514688000900446.23 -------------- Searches starting with [461,479]-exponents: u = 1, v = 160 n_start has 432 digits starting right neighbors generation We generated 2906 left neighbors We generated 7104 right neighbors We generated 10009 non-negative rho_i D1(461,479) = 0.7683600717606984044 D2(461,479) = 0.01112395021248936139 C1(461,479) = 1.042617647196422293 C2(461,479) = 1.227600768137888293 C3(461,479) = 6.626300392208091466 C4(461,479) = 3832 Sum = 4664.266987680382472 Averaged sum = 0.4660072922050536988 logp*logq = 37.85349636612135403 -------------- ************************************* p = 461; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 30456842061268043.30 -------------- Searches starting with [461,487]-exponents: u = 1, v = 111 n_start has 301 digits starting right neighbors generation We generated 1390 left neighbors We generated 8620 right neighbors We generated 10009 non-negative rho_i D1(461,487) = 0.6804155023425029642 D2(461,487) = 0.01477454465173426654 C1(461,487) = 0.9414693727232933219 C2(461,487) = 1.301011478739888417 C3(461,487) = 5.515647561283697156 C4(461,487) = 3896 Sum = 4765.259605670748459 Averaged sum = 0.4760974728415174802 logp*logq = 37.95508706206112750 -------------- ************************************* p = 461; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32023880561976120.60 -------------- Searches starting with [461,491]-exponents: u = 1, v = 97 n_start has 264 digits starting right neighbors generation We generated 1121 left neighbors We generated 8889 right neighbors We generated 10009 non-negative rho_i D1(461,491) = 0.6270700036041934838 D2(461,491) = 0.01456538938372024919 C1(461,491) = 0.8751317292283737938 C2(461,491) = 1.330310805354427169 C3(461,491) = 4.890376206288340906 C4(461,491) = 3928 Sum = 4087.494112417229052 Averaged sum = 0.4083818675609180789 logp*logq = 38.00525828695298716 -------------- ************************************* p = 461; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 35361005543480273.97 -------------- Searches starting with [461,499]-exponents: u = 1, v = 77 n_start has 211 digits starting right neighbors generation We generated 744 left neighbors We generated 9266 right neighbors We generated 10009 non-negative rho_i D1(461,499) = 0.6631333507898713634 D2(461,499) = 0.008391139623696123885 C1(461,499) = 0.9010089306854351634 C2(461,499) = 1.376560733840881683 C3(461,499) = 5.125376474109060726 C4(461,499) = 3992 Sum = 4014.166211753287161 Averaged sum = 0.4010556710713644881 logp*logq = 38.10438606959141376 -------------- ************************************* p = 461; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 37135715209978874.93 -------------- Searches starting with [461,503]-exponents: u = 1, v = 70 n_start has 192 digits starting right neighbors generation We generated 611 left neighbors We generated 9399 right neighbors We generated 10009 non-negative rho_i D1(461,503) = 0.5748906442797638170 D2(461,503) = 0.01819735406106950524 C1(461,503) = 0.8195076792957410800 C2(461,503) = 1.408254696400478006 C3(461,503) = 4.421067458955523726 C4(461,503) = 4024 Sum = 4022.038921479478860 Averaged sum = 0.4018422341372243841 logp*logq = 38.15335557557392937 -------------- ************************************* p = 461; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 39937194109510385.31 -------------- Searches starting with [461,509]-exponents: u = 1, v = 61 n_start has 168 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(461,509) = 0.8163062083594973879 D2(461,509) = 0.002578677785449659986 C1(461,509) = 1.173662318354664610 C2(461,509) = 1.426553968233976298 C3(461,509) = 8.404176375467573694 C4(461,509) = 4072 Sum = 5043.619718663852617 Averaged sum = 0.5039084542575534635 logp*logq = 38.22608446778931987 -------------- ************************************* p = 461; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 46073072497288813.70 -------------- Searches starting with [461,521]-exponents: u = 1, v = 50 n_start has 139 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(461,521) = 0.7205532137402651711 D2(461,521) = 0.02407446978277239624 C1(461,521) = 1.052948270874201959 C2(461,521) = 1.501902466857776639 C3(461,521) = 6.751628910405474440 C4(461,521) = 4168 Sum = 3125.633430099057728 Averaged sum = 0.3122822889498509070 logp*logq = 38.36900506356630291 -------------- ************************************* p = 461; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47168594801491116.63 -------------- Searches starting with [461,523]-exponents: u = 1, v = 48 n_start has 134 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(461,523) = 0.5614491246813206758 D2(461,523) = 0.04231451267949474053 C1(461,523) = 0.7830619740322726140 C2(461,523) = 1.526574629667607956 C3(461,523) = 4.138269952751703367 C4(461,523) = 4184 Sum = 4358.949921026937174 Averaged sum = 0.4355030393672631806 logp*logq = 38.39250470167389407 -------------- ************************************* p = 461; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58047932619722058.71 -------------- Searches starting with [461,541]-exponents: u = 1, v = 38 n_start has 107 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(461,541) = 0.9259100083194504097 D2(461,541) = 0.0001756538785360381614 C1(461,541) = 1.277928306678833571 C2(461,541) = 1.560569129592609783 C3(461,541) = 10.15372968080300748 C4(461,541) = 4328 Sum = 4409.331176749865848 Averaged sum = 0.4405366347037532069 logp*logq = 38.60004548863438878 -------------- ************************************* p = 461; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62110654982324880.59 -------------- Searches starting with [461,547]-exponents: u = 1, v = 35 n_start has 99 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(461,547) = 0.6820202592585802048 D2(461,547) = 0.01279429864871010883 C1(461,547) = 1.024596175666950340 C2(461,547) = 1.592576446265490558 C3(461,547) = 6.413211846834353240 C4(461,547) = 4376 Sum = 4146.269126580223758 Averaged sum = 0.4142540839824381814 logp*logq = 38.66769394694754395 -------------- ************************************* p = 461; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69410133616215315.96 -------------- Searches starting with [461,557]-exponents: u = 1, v = 32 n_start has 91 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(461,557) = 0.5854370253333695794 D2(461,557) = 0.01791730372341108424 C1(461,557) = 0.8379729113728017126 C2(461,557) = 1.630146871506345678 C3(461,557) = 4.571642128843290347 C4(461,557) = 4456 Sum = 4014.356701614458024 Averaged sum = 0.4010747029288098735 logp*logq = 38.77880926928863932 -------------- ************************************* p = 461; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 74124675685595582.16 -------------- Searches starting with [461,563]-exponents: u = 1, v = 30 n_start has 86 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(461,563) = 0.7061233577585709539 D2(461,563) = 0.06604062124223124094 C1(461,563) = 0.9873641257000186237 C2(461,563) = 1.690738237170377074 C3(461,563) = 5.994429509702585705 C4(461,563) = 4504 Sum = 4271.479311667395106 Averaged sum = 0.4267638437074028480 logp*logq = 38.84452487698251885 -------------- ************************************* p = 461; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79104316604055555.59 -------------- Searches starting with [461,569]-exponents: u = 1, v = 29 n_start has 83 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(461,569) = 0.7500727500556494700 D2(461,569) = 0.01286046731541812896 C1(461,569) = 1.004272994380236978 C2(461,569) = 1.662684804248144904 C3(461,569) = 6.181117407183941915 C4(461,569) = 4552 Sum = 3487.628454296058225 Averaged sum = 0.3484492411126044785 logp*logq = 38.90954383967516709 -------------- ************************************* p = 461; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80825148566188335.12 -------------- Searches starting with [461,571]-exponents: u = 1, v = 28 n_start has 80 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(461,571) = 0.9190703815354963593 D2(461,571) = 0.05179547742043902195 C1(461,571) = 1.290444398156254079 C2(461,571) = 1.702128322996215007 C3(461,571) = 10.38686618995013857 C4(461,571) = 4568 Sum = 4682.943467457061945 Averaged sum = 0.4678732608109763158 logp*logq = 38.93106455664221661 -------------- ************************************* p = 461; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86176793128109347.54 -------------- Searches starting with [461,577]-exponents: u = 1, v = 27 n_start has 78 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(461,577) = 0.8731725224448602233 D2(461,577) = 0.07438809050375343078 C1(461,577) = 1.229652388564219341 C2(461,577) = 1.739017825080183161 C3(461,577) = 9.302476914386659179 C4(461,577) = 4616 Sum = 4412.733848529914020 Averaged sum = 0.4408765959166664023 logp*logq = 38.99517731508215410 -------------- ************************************* p = 461; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95754570353976360.34 -------------- Searches starting with [461,587]-exponents: u = 1, v = 25 n_start has 72 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(461,587) = 0.5856554981573158270 D2(461,587) = 0.05010189432474877159 C1(461,587) = 0.8032010893674914136 C2(461,587) = 1.745103103664890243 C3(461,587) = 4.292224429134813324 C4(461,587) = 4696 Sum = 4198.614021526772127 Averaged sum = 0.4194838666726718081 logp*logq = 39.10056475398870858 -------------- ************************************* p = 461; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101917375005855770.1 -------------- Searches starting with [461,593]-exponents: u = 1, v = 24 n_start has 70 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(461,593) = 0.6429568675658841566 D2(461,593) = 0.04236367100228315266 C1(461,593) = 0.9122353586437825593 C2(461,593) = 1.754111738458527614 C3(461,593) = 5.230808747451160335 C4(461,593) = 4744 Sum = 4285.002311359535918 Averaged sum = 0.4281149277010226714 logp*logq = 39.16293883096581059 -------------- ************************************* p = 461; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108408725078689084.9 -------------- Searches starting with [461,599]-exponents: u = 1, v = 23 n_start has 67 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(461,599) = 0.5571449125899173010 D2(461,599) = 0.02478593028518211980 C1(461,599) = 0.8167974426767990948 C2(461,599) = 1.754289024671266104 C3(461,599) = 4.399388195261075124 C4(461,599) = 4792 Sum = 4022.913426379209604 Averaged sum = 0.4019296059925276855 logp*logq = 39.22468497033291593 -------------- ************************************* p = 461; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110647918471642441.1 -------------- Searches starting with [461,601]-exponents: u = 1, v = 23 n_start has 67 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(461,601) = 0.7283384662306407571 D2(461,601) = 0.05649740649694010596 C1(461,601) = 0.9793553957955501732 C2(461,601) = 1.786496791077959309 C3(461,601) = 5.907984834179146269 C4(461,601) = 4808 Sum = 3801.878210462934111 Averaged sum = 0.3798459596825790899 logp*logq = 39.24512964940651051 -------------- ************************************* p = 461; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117599119790436919.4 -------------- Searches starting with [461,607]-exponents: u = 1, v = 22 n_start has 64 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(461,607) = 0.6234648394556274004 D2(461,607) = 0.02655431265870440706 C1(461,607) = 0.8454646651027621503 C2(461,607) = 1.775438968716898920 C3(461,607) = 4.634186302648780769 C4(461,607) = 4856 Sum = 3844.462320093185980 Averaged sum = 0.3841005415219488440 logp*logq = 39.30605794557200447 -------------- ************************************* p = 461; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 124912131535009414.1 -------------- Searches starting with [461,613]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(461,613) = 0.7685322817023860447 D2(461,613) = 0.1255853833271537833 C1(461,613) = 1.134717133687219557 C2(461,613) = 1.875943587670237243 C3(461,613) = 7.831013838964123922 C4(461,613) = 4904 Sum = 4049.631327226432172 Averaged sum = 0.4045989936283776773 logp*logq = 39.36638693730946834 -------------- ************************************* p = 461; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129995872872940900.9 -------------- Searches starting with [461,617]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(461,617) = 0.8920366655739864666 D2(461,617) = 0.04287215841869200810 C1(461,617) = 1.415477896236719425 C2(461,617) = 1.812901633926982041 C3(461,617) = 13.03087464825806796 C4(461,617) = 4936 Sum = 1756.117607926601642 Averaged sum = 0.1754538523255671538 logp*logq = 39.40627909773109301 -------------- ************************************* p = 461; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 132601966074469416.7 -------------- Searches starting with [461,619]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(461,619) = 0.6211082255686206282 D2(461,619) = 0.07254786006528489987 C1(461,619) = 0.8612397760925587236 C2(461,619) = 1.843065335529160797 C3(461,619) = 4.768695174915782588 C4(461,619) = 4952 Sum = 4069.404851349065905 Averaged sum = 0.4065745680236852737 logp*logq = 39.42612829966013942 -------------- ************************************* p = 461; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 149174500502112380.4 -------------- Searches starting with [461,631]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(461,631) = 0.6696518264982491122 D2(461,631) = 0.1002070065424409188 C1(461,631) = 0.9967255941308854060 C2(461,631) = 1.893788460653461245 C3(461,631) = 6.097080050016616980 C4(461,631) = 5048 Sum = 3704.271608482185884 Averaged sum = 0.3700940761796568971 logp*logq = 39.54389315991109576 -------------- ************************************* p = 461; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164277295794044765.6 -------------- Searches starting with [461,641]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(461,641) = 0.7001557375995882954 D2(461,641) = 0.07639806288488194023 C1(461,641) = 0.9771286749048617155 C2(461,641) = 1.894211371040229547 C3(461,641) = 5.884172299601610517 C4(461,641) = 5128 Sum = 4270.724099757778534 Averaged sum = 0.4266883904243958971 logp*logq = 39.64033222290692971 -------------- ************************************* p = 461; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167446350169170610.5 -------------- Searches starting with [461,643]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(461,643) = 0.6921213356747659934 D2(461,643) = 0.1049100500690393480 C1(461,643) = 0.9476526640608160174 C2(461,643) = 1.923199819147397995 C3(461,643) = 5.577853372014459508 C4(461,643) = 5144 Sum = 3966.734151163430513 Averaged sum = 0.3963167300592896906 logp*logq = 39.65943939737211825 -------------- ************************************* p = 461; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 173938136976230692.7 -------------- Searches starting with [461,647]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(461,647) = 0.7178710894275314850 D2(461,647) = 0.1269265676298600859 C1(461,647) = 1.160115141077512548 C2(461,647) = 1.322814233179382327 C3(461,647) = 8.200192188407651552 C4(461,647) = 5176 Sum = 3744.381405021454547 Averaged sum = 0.3741014491978673741 logp*logq = 39.69747609628843324 -------------- ************************************* p = 461; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184069993609196736.5 -------------- Searches starting with [461,653]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(461,653) = 0.5656471527349969600 D2(461,653) = 0.06051622046560443043 C1(461,653) = 0.7919968938724196727 C2(461,653) = 1.904946184413121520 C3(461,653) = 4.205879872789689523 C4(461,653) = 5224 Sum = 4178.302718604201856 Averaged sum = 0.4174545627539416381 logp*logq = 39.75409248023589739 -------------- ************************************* p = 461; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 194691183572480875.5 -------------- Searches starting with [461,659]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(461,659) = 0.8432812636829887695 D2(461,659) = 0.1272496438914580705 C1(461,659) = 1.169307072264557508 C2(461,659) = 1.417641829435075504 C3(461,659) = 8.338050590714122959 C4(461,659) = 5272 Sum = 4120.299532755120627 Averaged sum = 0.4116594597617265088 logp*logq = 39.81019102414996722 -------------- ************************************* p = 461; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 198343563880436299.2 -------------- Searches starting with [461,661]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(461,661) = 1.043662841000318681 D2(461,661) = 0.1023008250953634731 C1(461,661) = 1.698591035879036279 C2(461,661) = 1.152552598330359023 C3(461,661) = 21.77620081429339147 C4(461,661) = 5288 Sum = 1481.394943894646709 Averaged sum = 0.1480062887296080237 logp*logq = 39.82877709304830438 -------------- ************************************* p = 461; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 221483848131064550.6 -------------- Searches starting with [461,673]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(461,673) = 0.6157369132106511397 D2(461,673) = 0.1184391367878687667 C1(461,673) = 0.8664587376459334740 C2(461,673) = 1.993565432583668872 C3(461,673) = 4.814049419799424188 C4(461,673) = 5384 Sum = 4229.028651908276003 Averaged sum = 0.4225225948554576884 logp*logq = 39.93912606133553941 -------------- ************************************* p = 461; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 229682021067057054.5 -------------- Searches starting with [461,677]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(461,677) = 0.9025182137198221967 D2(461,677) = 0.1053716381593134759 C1(461,677) = 1.480286719789665418 C2(461,677) = 1.229556457129799280 C3(461,677) = 14.65627320241812372 C4(461,677) = 5416 Sum = 3587.354398713150929 Averaged sum = 0.3584128682898542241 logp*logq = 39.97547223017562250 -------------- ************************************* p = 461; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242454582556116606.0 -------------- Searches starting with [461,683]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(461,683) = 0.8361751275933855104 D2(461,683) = 0.02889551547065469444 C1(461,683) = 1.179390812704544839 C2(461,683) = 1.935002906974082676 C3(461,683) = 8.491951396041297825 C4(461,683) = 5464 Sum = 4519.185759474567999 Averaged sum = 0.4515122149539982015 logp*logq = 40.02959079931917017 -------------- ************************************* p = 461; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 260404868142774740.1 -------------- Searches starting with [461,691]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(461,691) = 0.5985902181600876872 D2(461,691) = 0.1066015834999555864 C1(461,691) = 0.9902606346335454459 C2(461,691) = 1.427791096278663553 C3(461,691) = 6.026004351946361163 C4(461,691) = 5528 Sum = 3809.875374979503678 Averaged sum = 0.3806449570366174121 logp*logq = 40.10101399993507898 -------------- ************************************* p = 461; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 284394584568841071.4 -------------- Searches starting with [461,701]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(461,701) = 0.5619167892373005267 D2(461,701) = 0.003694575048568403266 C1(461,701) = 0.8266276727216748906 C2(461,701) = 1.945729049654364702 C3(461,701) = 4.478530834496346157 C4(461,701) = 5608 Sum = 4001.450092924924334 Averaged sum = 0.3997852026101433044 logp*logq = 40.18913905105805932 -------------- ************************************* p = 461; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 304893411804172670.0 -------------- Searches starting with [461,709]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(461,709) = 1.012129559861057467 D2(461,709) = 0.07650600201352134198 C1(461,709) = 1.458688847061268305 C2(461,709) = 2.020336784217201623 C3(461,709) = 14.09324113428123058 C4(461,709) = 5672 Sum = 4171.862169571177226 Averaged sum = 0.4168110869788367695 logp*logq = 40.25873864094488674 -------------- ************************************* p = 461; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 332242652719858094.4 -------------- Searches starting with [461,719]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(461,719) = 1.132594001116243611 D2(461,719) = 0.1137056893110187937 C1(461,719) = 1.609873296169715412 C2(461,719) = 1.809638445068238550 C3(461,719) = 18.53954396605935936 C4(461,719) = 5752 Sum = 5411.404807365476857 Averaged sum = 0.5406538922335375019 logp*logq = 40.34464197854954512 -------------- ************************************* p = 461; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 355573638287577899.0 -------------- Searches starting with [461,727]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(461,727) = 0.6583823127608898833 D2(461,727) = 0.01209979251271318209 C1(461,727) = 1.013011152402307110 C2(461,727) = 1.995573193520673913 C3(461,727) = 6.279861273822140790 C4(461,727) = 5816 Sum = 3676.651315519715068 Averaged sum = 0.3673345304745444168 logp*logq = 40.41250876275288848 -------------- ************************************* p = 461; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 373958243357518272.8 -------------- Searches starting with [461,733]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(461,733) = 0.6328861662271098029 D2(461,733) = 0.06113265008943971784 C1(461,733) = 0.8694677506612589235 C2(461,733) = 2.045920580352450346 C3(461,733) = 4.840394372273107484 C4(461,733) = 5864 Sum = 3930.782386227776107 Averaged sum = 0.3927247863150940260 logp*logq = 40.46292053731533946 -------------- ************************************* p = 461; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 393131808743424671.8 -------------- Searches starting with [461,739]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(461,739) = 1.492195149469262675 D2(461,739) = 0.06494144196366642102 C1(461,739) = 2.517738368984515476 C2(461,739) = 1.172478909134118551 C3(461,739) = 96.21115080140187960 C4(461,739) = 5912 Sum = 4980.731618158783874 Averaged sum = 0.4976252990467363247 logp*logq = 40.51292134175353194 -------------- ************************************* p = 461; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 406365820085461873.2 -------------- Searches starting with [461,743]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(461,743) = 0.5884440472417940699 D2(461,743) = 0.09777317817507352848 C1(461,743) = 0.8217461648913177305 C2(461,743) = 1.826517791818889447 C3(461,743) = 4.439053705461674304 C4(461,743) = 5944 Sum = 4189.323297425497753 Averaged sum = 0.4185556296758415180 logp*logq = 40.54603018351758893 -------------- ************************************* p = 461; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 433954665602120448.9 -------------- Searches starting with [461,751]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(461,751) = 0.7090683463718394914 D2(461,751) = 0.09219412290422996924 C1(461,751) = 0.9914808890415605445 C2(461,751) = 1.822803286801747194 C3(461,751) = 6.039356086239564010 C4(461,751) = 6008 Sum = 4073.172303856855112 Averaged sum = 0.4069509745086277462 logp*logq = 40.61171646641709202 -------------- ************************************* p = 461; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 455660133356005761.7 -------------- Searches starting with [461,757]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(461,757) = 0.6055495841208952027 D2(461,757) = 0.007220751972294961590 C1(461,757) = 0.8256344808621189270 C2(461,757) = 2.037527230397997655 C3(461,757) = 4.470470468209429795 C4(461,757) = 6056 Sum = 4027.444862043009396 Averaged sum = 0.4023823420964141668 logp*logq = 40.66052360494714316 -------------- ************************************* p = 461; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 470629357840276300.0 -------------- Searches starting with [461,761]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(461,761) = 0.6225247309074495443 D2(461,761) = 0.03554201175822431547 C1(461,761) = 0.9069127776589171246 C2(461,761) = 2.066700834226142003 C3(461,761) = 5.180554395998074742 C4(461,761) = 6088 Sum = 3421.423237812688073 Averaged sum = 0.3418346725759504519 logp*logq = 40.69284725310914672 -------------- ************************************* p = 461; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 501804977407794936.4 -------------- Searches starting with [461,769]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(461,769) = 1.135109435991070394 D2(461,769) = 0.05312267928428565234 C1(461,769) = 1.937777728393490688 C2(461,769) = 1.154895965283056480 C3(461,769) = 33.60390479777490402 C4(461,769) = 6152 Sum = 3720.503646651214134 Averaged sum = 0.3717158204267373497 logp*logq = 40.75698794790061853 -------------- ************************************* p = 461; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 518029456813005500.0 -------------- Searches starting with [461,773]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(461,773) = 0.6020838407489401352 D2(461,773) = 0.07898921249435173016 C1(461,773) = 1.027834515541889633 C2(461,773) = 1.845287475800989770 C3(461,773) = 6.450990913837774168 C4(461,773) = 6184 Sum = 3805.902066273178730 Averaged sum = 0.3802479834422198751 logp*logq = 40.78880850198770749 -------------- ************************************* p = 461; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 578316729896228073.8 -------------- Searches starting with [461,787]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(461,787) = 0.6667398116440049431 D2(461,787) = 0.06458018557986811173 C1(461,787) = 1.042429550341356468 C2(461,787) = 1.694955538338128962 C3(461,787) = 6.624040146034252636 C4(461,787) = 6296 Sum = 3738.679843660545452 Averaged sum = 0.3735318057408877462 logp*logq = 40.89889808909827036 -------------- ************************************* p = 461; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 624883115799534032.6 -------------- Searches starting with [461,797]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(461,797) = 0.7866111763990040931 D2(461,797) = 0.01662382815336256109 C1(461,797) = 1.133672156839709097 C2(461,797) = 2.101499726862356326 C3(461,797) = 7.816185574318997809 C4(461,797) = 6376 Sum = 4565.985400461005083 Averaged sum = 0.4561879708723154244 logp*logq = 40.97634101243690777 -------------- ************************************* p = 461; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 684866260651043613.7 -------------- Searches starting with [461,809]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(461,809) = 0.6771005790425565752 D2(461,809) = 0.05797947937666326133 C1(461,809) = 1.171320532292842291 C2(461,809) = 1.867339013263358870 C3(461,809) = 8.368556076846559953 C4(461,809) = 6472 Sum = 4165.179237108254768 Averaged sum = 0.4161433946556354049 logp*logq = 41.06799997418563140 -------------- ************************************* p = 461; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 695316946449417901.2 -------------- Searches starting with [461,811]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(461,811) = 0.8996221720876726591 D2(461,811) = 0.05679583908956743648 C1(461,811) = 1.268879982531858288 C2(461,811) = 1.866599565686357270 C3(461,811) = 9.988452802304225537 C4(461,811) = 6488 Sum = 4010.055723371248218 Averaged sum = 0.4006449918444648034 logp*logq = 41.08314417457844259 -------------- ************************************* p = 461; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 749594888618268719.2 -------------- Searches starting with [461,821]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(461,821) = 0.7019756046132209740 D2(461,821) = 0.05097844704352251893 C1(461,821) = 0.9828769264504850138 C2(461,821) = 1.862986528759385789 C3(461,821) = 5.945840920091642043 C4(461,821) = 6568 Sum = 4124.057661140813593 Averaged sum = 0.4120349346728757711 logp*logq = 41.15830930699930786 -------------- ************************************* p = 461; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 760865064734256948.8 -------------- Searches starting with [461,823]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(461,823) = 0.8552970551966925743 D2(461,823) = 0.04983460680042645409 C1(461,823) = 1.169675879894332992 C2(461,823) = 1.862280276021724298 C3(461,823) = 8.343629982445141851 C4(461,823) = 6584 Sum = 4094.202312345054947 Averaged sum = 0.4090520843585827702 logp*logq = 41.17323242395495691 -------------- ************************************* p = 461; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 783831265634149119.2 -------------- Searches starting with [461,827]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(461,827) = 1.041936032794425631 D2(461,827) = 0.04374667241821461696 C1(461,827) = 1.644651340396184770 C2(461,827) = 1.711463759551664129 C3(461,827) = 19.74666473506998511 C4(461,827) = 6616 Sum = 3483.237503931999944 Averaged sum = 0.3480105409063842486 logp*logq = 41.20297016969200555 -------------- ************************************* p = 461; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 795530154257477758.8 -------------- Searches starting with [461,829]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(461,829) = 0.6099704021113876606 D2(461,829) = 0.04271267570329129865 C1(461,829) = 0.8387273652575516145 C2(461,829) = 1.710852486578953055 C3(461,829) = 4.577902199998419324 C4(461,829) = 6632 Sum = 4053.917943253441571 Averaged sum = 0.4050272697825398712 logp*logq = 41.21778514801345191 -------------- ************************************* p = 461; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 856240741932488229.7 -------------- Searches starting with [461,839]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(461,839) = 0.7159241133149025751 D2(461,839) = 0.03422194646186380213 C1(461,839) = 1.057038303339306895 C2(461,839) = 1.553345608099755668 C3(461,839) = 6.801900699952137029 C4(461,839) = 6712 Sum = 3306.564493640132209 Averaged sum = 0.3303591261504777909 logp*logq = 41.29132797208704693 -------------- ************************************* p = 461; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 947713466773915573.4 -------------- Searches starting with [461,853]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(461,853) = 0.9238923404919610477 D2(461,853) = 0.02706266897623510138 C1(461,853) = 1.622717163938985729 C2(461,853) = 1.183116935040022380 C3(461,853) = 18.97650270171570623 C4(461,853) = 6824 Sum = 3772.182017485887342 Averaged sum = 0.3768790106390136219 logp*logq = 41.39282860124041192 -------------- ************************************* p = 461; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 975301367896589816.8 -------------- Searches starting with [461,857]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(461,857) = 0.6351375256237591054 D2(461,857) = 0.03200959855212525527 C1(461,857) = 0.8863905892012070039 C2(461,857) = 1.892318832381987994 C3(461,857) = 4.991267969138864720 C4(461,857) = 6856 Sum = 3858.712946108051276 Averaged sum = 0.3855243227203568065 logp*logq = 41.42152291342698185 -------------- ************************************* p = 461; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 989345378051218591.0 -------------- Searches starting with [461,859]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(461,859) = 0.7518978522126853076 D2(461,859) = 0.03094752581893023679 C1(461,859) = 1.066799236121914418 C2(461,859) = 1.891684352731044678 C3(461,859) = 6.923393012439729194 C4(461,859) = 6872 Sum = 4513.580858288361624 Averaged sum = 0.4509522288228955564 logp*logq = 41.43581988503580974 -------------- ************************************* p = 461; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.017941613384243032 E18 -------------- Searches starting with [461,863]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(461,863) = 0.5878746340866017587 D2(461,863) = 0.02883950514188441560 C1(461,863) = 0.8209529746087495274 C2(461,863) = 1.890428483340597998 C3(461,863) = 4.432672061193078594 C4(461,863) = 6904 Sum = 4129.062661496868733 Averaged sum = 0.4125349846634897326 logp*logq = 41.46431423613688911 -------------- ************************************* p = 461; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.123538467986952642 E18 -------------- Searches starting with [461,877]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(461,877) = 0.6644419547421329210 D2(461,877) = 0.02162525051825992499 C1(461,877) = 0.9093882055962183763 C2(461,877) = 1.886165383941346063 C3(461,877) = 5.203866367743378576 C4(461,877) = 7016 Sum = 3927.272103614984611 Averaged sum = 0.3923740736951728055 logp*logq = 41.56301472536865205 -------------- ************************************* p = 461; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.155339105215551105 E18 -------------- Searches starting with [461,881]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(461,881) = 0.7453065582730573230 D2(461,881) = 0.01799635564833400176 C1(461,881) = 1.006181787192133391 C2(461,881) = 1.729946006782153760 C3(461,881) = 6.202553959992345494 C4(461,881) = 7048 Sum = 3919.564866456879336 Averaged sum = 0.3916040430069816501 logp*logq = 41.59092557236446285 -------------- ************************************* p = 461; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.171519748769460722 E18 -------------- Searches starting with [461,883]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(461,883) = 0.7750468937802576182 D2(461,883) = 0.01707814660457795316 C1(461,883) = 1.049713203082438577 C2(461,883) = 1.729431996594935105 C3(461,883) = 6.712129045699615985 C4(461,883) = 7064 Sum = 3742.292548208550743 Averaged sum = 0.3738927513446448939 logp*logq = 41.60483351039417658 -------------- ************************************* p = 461; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.204450512564170071 E18 -------------- Searches starting with [461,887]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(461,887) = 0.6588270295386341266 D2(461,887) = 0.01525481766611414688 C1(461,887) = 0.9292479212511118169 C2(461,887) = 1.728414288672401809 C3(461,887) = 5.394729290006595909 C4(461,887) = 7096 Sum = 4035.714245907181638 Averaged sum = 0.4032085369075014125 logp*logq = 41.63255513066219513 -------------- ************************************* p = 461; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.380965237552822514 E18 -------------- Searches starting with [461,907]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(461,907) = 0.7610410496801752773 D2(461,907) = 0.004806669418865468327 C1(461,907) = 1.360695322093097653 C2(461,907) = 1.296537798005304101 C3(461,907) = 11.79834986302549530 C4(461,907) = 7256 Sum = 4206.276652214203406 Averaged sum = 0.4202494407247680493 logp*logq = 41.76931437606457990 -------------- ************************************* p = 461; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.418744600007357471 E18 -------------- Searches starting with [461,911]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(461,911) = 1.403360153696819019 D2(461,911) = 0.002766263768691563983 C1(461,911) = 2.508812782711692349 C2(461,911) = 1.021509040349717909 C3(461,911) = 94.66614994314556829 C4(461,911) = 7288 Sum = 783.7067734507322354 Averaged sum = 0.07830020715863045613 logp*logq = 41.79630406997093961 -------------- ************************************* p = 461; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.496902653752606273 E18 -------------- Searches starting with [461,919]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(461,919) = 0.7374855733028876734 D2(461,919) = 0.001408789392514423703 C1(461,919) = 1.035486739481473569 C2(461,919) = 1.922428759854091130 C3(461,919) = 6.541149810473525757 C4(461,919) = 7352 Sum = 3832.316006375028906 Averaged sum = 0.3828870023354010297 logp*logq = 41.84992974966256138 -------------- ************************************* p = 461; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.599638218713600544 E18 -------------- Searches starting with [461,929]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(461,929) = 0.8650332395779819674 D2(461,929) = 0.06425421726303549022 C1(461,929) = 1.293296462529350589 C2(461,929) = 1.638687944217281821 C3(461,929) = 10.44073592012250387 C4(461,929) = 7432 Sum = 3363.177110707884483 Averaged sum = 0.3360152973032155543 logp*logq = 41.91630916426709092 -------------- ************************************* p = 461; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.686016385731171458 E18 -------------- Searches starting with [461,937]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(461,937) = 0.8481446908135301759 D2(461,937) = 0.1058236457230676937 C1(461,937) = 1.149784428789147128 C2(461,937) = 1.853880106864567688 C3(461,937) = 8.047973119138158961 C4(461,937) = 7496 Sum = 3912.204568986068888 Averaged sum = 0.3908686750910249663 logp*logq = 41.96890025212702218 -------------- ************************************* p = 461; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.730648128238091490 E18 -------------- Searches starting with [461,941]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(461,941) = 0.7321930054904252507 D2(461,941) = 0.1245080373251638352 C1(461,941) = 1.075242687971153764 C2(461,941) = 1.873257334066924434 C3(461,941) = 7.030235966492122885 C4(461,941) = 7528 Sum = 3734.006720259067728 Averaged sum = 0.3730649136036634757 logp*logq = 41.99502765284229588 -------------- ************************************* p = 461; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.799447318228440542 E18 -------------- Searches starting with [461,947]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(461,947) = 0.7584859690466041828 D2(461,947) = 0.1202415196911257646 C1(461,947) = 1.009881266185551697 C2(461,947) = 1.334831160108494383 C3(461,947) = 6.244312580352606747 C4(461,947) = 7576 Sum = 3686.506334437548603 Averaged sum = 0.3683191462121639128 logp*logq = 42.03401124621819823 -------------- ************************************* p = 461; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.870520906853285165 E18 -------------- Searches starting with [461,953]-exponents: u = 19, v = 8 n_start has 75 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(461,953) = 0.7690891239495304085 D2(461,953) = 0.1385732836466850153 C1(461,953) = 1.083077184536050831 C2(461,953) = 1.903357641551449179 C3(461,953) = 7.130847423850463351 C4(461,953) = 7624 Sum = 4009.074599143318946 Averaged sum = 0.4005469676434527871 logp*logq = 42.07274862578332691 -------------- ************************************* p = 461; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.045544320131457292 E18 -------------- Searches starting with [461,967]-exponents: u = 28, v = 8 n_start has 99 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(461,967) = 0.5687669866979998105 D2(461,967) = 0.06888726841893147152 C1(461,967) = 0.8158931982316839364 C2(461,967) = 1.836325995666545506 C3(461,967) = 4.392178793728697594 C4(461,967) = 7736 Sum = 3966.596891810344384 Averaged sum = 0.3963030164662148451 logp*logq = 42.16219559918374107 -------------- ************************************* p = 461; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.097995627443450496 E18 -------------- Searches starting with [461,971]-exponents: u = 37, v = 8 n_start has 123 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(461,971) = 0.5525417849526952682 D2(461,971) = 0.05160113617704976850 C1(461,971) = 0.7507465613458536249 C2(461,971) = 1.819791102245740794 C3(461,971) = 3.902688870806681827 C4(461,971) = 7768 Sum = 3900.992096601116676 Averaged sum = 0.3897484360676507818 logp*logq = 42.18751409971006118 -------------- ************************************* p = 461; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.178780430663070898 E18 -------------- Searches starting with [461,977]-exponents: u = 55, v = 8 n_start has 171 digits starting right neighbors generation We generated 1740 left neighbors We generated 8270 right neighbors We generated 10009 non-negative rho_i D1(461,977) = 1.000373853074785756 D2(461,977) = 0.02729218138290953186 C1(461,977) = 1.453150529763204729 C2(461,977) = 1.796603143993690895 C3(461,977) = 13.95238153743980920 C4(461,977) = 7816 Sum = 3765.277072361527403 Averaged sum = 0.3761891370128411832 logp*logq = 42.22529695867575238 -------------- ************************************* p = 461; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.262152556638132998 E18 -------------- Searches starting with [461,983]-exponents: u = 91, v = 8 n_start has 267 digits starting right neighbors generation We generated 4400 left neighbors We generated 5610 right neighbors We generated 10009 non-negative rho_i D1(461,983) = 1.431681436934933631 D2(461,983) = 0.004624054833290957706 C1(461,983) = 2.007339061697374357 C2(461,983) = 1.775049057065298712 C3(461,983) = 38.12266808349220097 C4(461,983) = 7864 Sum = 4382.382996596701049 Averaged sum = 0.4378442398438106752 logp*logq = 42.26284849256548945 -------------- ************************************* p = 461; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.377454910478774773 E18 -------------- Searches starting with [461,991]-exponents: u = 631, v = 8 n_start has 1705 digits --- performed 5000 steps in the continued fraction search [461,991]-exponents: u = 441, v = 169 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(461,991) = 0.6488602403370284728 D2(461,991) = 0.4384237022317921972 C1(461,991) = 0.8313968826761795376 C2(461,991) = 1.525673050192846154 C3(461,991) = 4.517438832854930532 C4(461,991) = 7928 Sum = 5465.205961298085698 Averaged sum = 0.5465752536551740872 logp*logq = 42.31256222405208374 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(461,991) = 0.6488602403370284728 D2(461,991) = 0.4384237022317921972 C1(461,991) = 0.8313968826761795376 C2(461,991) = 1.525673050192846154 C3(461,991) = 4.517438832854930532 C4(461,991) = 7928 Sum = 5465.205961298085698 Averaged sum = 0.5465752536551740872 logp*logq = 42.31256222405208374 -------------- ************************************* p = 461; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.467124212687703023 E18 -------------- Searches starting with [461,997]-exponents: u = 9, v = 159 n_start has 501 digits --- performed 5000 steps in the continued fraction search [461,997]-exponents: u = 42, v = 99 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(461,997) = 0.5379359547009970834 D2(461,997) = 0.1459599110432523502 C1(461,997) = 0.7260238888131571544 C2(461,997) = 1.502160160227735344 C3(461,997) = 3.731555044776023133 C4(461,997) = 7976 Sum = 4654.401981723314832 Averaged sum = 0.4654867468470161848 logp*logq = 42.34958485986354125 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(461,997) = 0.5379359547009970834 D2(461,997) = 0.1459599110432523502 C1(461,997) = 0.7260238888131571544 C2(461,997) = 1.502160160227735344 C3(461,997) = 3.731555044776023133 C4(461,997) = 7976 Sum = 4654.401981723314832 Averaged sum = 0.4654867468470161848 logp*logq = 42.34958485986354125 -------------- ************************************* p = 463; q = 467; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 24184573547974447.76 -------------- Searches starting with [463,467]-exponents: u = 1, v = 713 n_start has 1906 digits --- performed 5000 steps in the continued fraction search [463,467]-exponents: u = 30, v = 677 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(463,467) = 0.6480414233228516415 D2(463,467) = 0.2502613778944551685 C1(463,467) = 0.8269887357178559396 C2(463,467) = 1.233389660305883129 C3(463,467) = 4.484080340571597869 C4(463,467) = 3736 Sum = 5668.723874397952601 Averaged sum = 0.5669290803478300431 logp*logq = 37.72449136811615102 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(463,467) = 0.6480414233228516415 D2(463,467) = 0.2502613778944551685 C1(463,467) = 0.8269887357178559396 C2(463,467) = 1.233389660305883129 C3(463,467) = 4.484080340571597869 C4(463,467) = 3736 Sum = 5668.723874397952601 Averaged sum = 0.5669290803478300431 logp*logq = 37.72449136811615102 -------------- ************************************* p = 463; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 28259716109437554.76 -------------- Searches starting with [463,479]-exponents: u = 1, v = 180 n_start has 486 digits starting right neighbors generation We generated 3611 left neighbors We generated 6399 right neighbors We generated 10009 non-negative rho_i D1(463,479) = 0.6356133797132597886 D2(463,479) = 0.007385572674409311843 C1(463,479) = 0.8572294571247214551 C2(463,479) = 1.202964368153583149 C3(463,479) = 4.736999104329019139 C4(463,479) = 3832 Sum = 4891.417213414513129 Averaged sum = 0.4887018896407746157 logp*logq = 37.88021372644914768 -------------- ************************************* p = 463; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 31283779336743758.80 -------------- Searches starting with [463,487]-exponents: u = 1, v = 121 n_start has 328 digits starting right neighbors generation We generated 1739 left neighbors We generated 8271 right neighbors We generated 10009 non-negative rho_i D1(463,487) = 0.5699469133223137843 D2(463,487) = 0.004155371724972084029 C1(463,487) = 0.7852143450279040867 C2(463,487) = 1.275174259285676610 C3(463,487) = 4.156759031164959259 C4(463,487) = 3896 Sum = 4356.421287201482460 Averaged sum = 0.4352504033571268319 logp*logq = 37.98187612607523646 -------------- ************************************* p = 463; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32894529501231106.67 -------------- Searches starting with [463,491]-exponents: u = 1, v = 104 n_start has 283 digits starting right neighbors generation We generated 1299 left neighbors We generated 8711 right neighbors We generated 10009 non-negative rho_i D1(463,491) = 0.5522426415689751582 D2(463,491) = 0.005109620052211655355 C1(463,491) = 0.7671096353651098769 C2(463,491) = 1.307050610054689972 C3(463,491) = 4.022427273932832570 C4(463,491) = 3928 Sum = 4622.518690528396658 Averaged sum = 0.4618362164580274410 logp*logq = 38.03208276229820693 -------------- ************************************* p = 463; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 36324923932191998.20 -------------- Searches starting with [463,499]-exponents: u = 1, v = 81 n_start has 222 digits starting right neighbors generation We generated 784 left neighbors We generated 9226 right neighbors We generated 10009 non-negative rho_i D1(463,499) = 0.9706435839424973348 D2(463,499) = 0.007136912203576697385 C1(463,499) = 1.369207090181481235 C2(463,499) = 1.362702309707023124 C3(463,499) = 11.99348935018833087 C4(463,499) = 3992 Sum = 5440.200658944466349 Averaged sum = 0.5435308880951609900 logp*logq = 38.13128051027514891 -------------- ************************************* p = 463; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38149329586895574.56 -------------- Searches starting with [463,503]-exponents: u = 1, v = 74 n_start has 203 digits starting right neighbors generation We generated 714 left neighbors We generated 9296 right neighbors We generated 10009 non-negative rho_i D1(463,503) = 0.8377915012707004083 D2(463,503) = 0.008206226593630413167 C1(463,503) = 1.189880259384511150 C2(463,503) = 1.387517365450085351 C3(463,503) = 8.662328580415682232 C4(463,503) = 4024 Sum = 3736.191972270138205 Averaged sum = 0.3732832423089357783 logp*logq = 38.18028457940405804 -------------- ************************************* p = 463; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 41029380574907401.31 -------------- Searches starting with [463,509]-exponents: u = 1, v = 64 n_start has 176 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(463,509) = 0.6573209366131700733 D2(463,509) = 0.01715085663484967194 C1(463,509) = 0.9419933013471642915 C2(463,509) = 1.428286698133265157 C3(463,509) = 5.524562022665686894 C4(463,509) = 4072 Sum = 4607.289537412497349 Averaged sum = 0.4603146705377657458 logp*logq = 38.25306480436823258 -------------- ************************************* p = 463; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47337835469370896.35 -------------- Searches starting with [463,521]-exponents: u = 1, v = 52 n_start has 144 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(463,521) = 1.303285493688347098 D2(463,521) = 0.03813045085967084236 C1(463,521) = 1.898897412625347743 C2(463,521) = 1.504651711743369395 C3(463,521) = 31.35779657308565997 C4(463,521) = 4168 Sum = 3275.138186970560837 Averaged sum = 0.3272193213078789926 logp*logq = 38.39608627487072854 -------------- ************************************* p = 463; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 48464235053510908.44 -------------- Searches starting with [463,523]-exponents: u = 1, v = 50 n_start has 139 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(463,523) = 0.6310518356438113368 D2(463,523) = 0.01405998573418568717 C1(463,523) = 0.8583753964082552386 C2(463,523) = 1.492406809098041295 C3(463,523) = 4.746858778696169612 C4(463,523) = 4184 Sum = 4146.710020666871695 Averaged sum = 0.4142981337463154856 logp*logq = 38.41960249924799531 -------------- ************************************* p = 463; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59651146903324456.99 -------------- Searches starting with [463,541]-exponents: u = 1, v = 39 n_start has 110 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(463,541) = 0.5971997088232217914 D2(463,541) = 0.001727144675737932905 C1(463,541) = 0.8437816245913373044 C2(463,541) = 1.553736338769673148 C3(463,541) = 4.622812817480293184 C4(463,541) = 4328 Sum = 4145.994968867264768 Averaged sum = 0.4142266928631496421 logp*logq = 38.62728977048392673 -------------- ************************************* p = 463; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 63829124357234353.55 -------------- Searches starting with [463,547]-exponents: u = 1, v = 36 n_start has 102 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(463,547) = 0.6344341928607580046 D2(463,547) = 0.02209760573298628776 C1(463,547) = 0.9508945919799473333 C2(463,547) = 1.592772470755885121 C3(463,547) = 5.614513598583278361 C4(463,547) = 4376 Sum = 4036.059749896170208 Averaged sum = 0.4032430562390019190 logp*logq = 38.69498597572695308 -------------- ************************************* p = 463; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 71336158407731072.04 -------------- Searches starting with [463,557]-exponents: u = 1, v = 33 n_start has 94 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(463,557) = 0.7476745755273662983 D2(463,557) = 0.04049081333876272469 C1(463,557) = 1.011523591556585495 C2(463,557) = 1.642300223915214089 C3(463,557) = 6.267412057237827202 C4(463,557) = 4456 Sum = 3902.954995659590748 Averaged sum = 0.3899445494714347835 logp*logq = 38.80617972432691269 -------------- ************************************* p = 463; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 76185055378453121.70 -------------- Searches starting with [463,563]-exponents: u = 1, v = 31 n_start has 88 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(463,563) = 0.5400469931527906950 D2(463,563) = 0.01212223966548407601 C1(463,563) = 0.7542467391301858732 C2(463,563) = 1.636819855593629909 C3(463,563) = 3.929634347146394644 C4(463,563) = 4504 Sum = 4207.381663778938606 Averaged sum = 0.4203598425196261970 logp*logq = 38.87194171472618186 -------------- ************************************* p = 463; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81306842248841138.18 -------------- Searches starting with [463,569]-exponents: u = 1, v = 29 n_start has 83 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(463,569) = 0.5994381662785127833 D2(463,569) = 0.05054543634595952480 C1(463,569) = 0.8254600257188097348 C2(463,569) = 1.688263814334278577 C3(463,569) = 4.471659745822901547 C4(463,569) = 4552 Sum = 4126.311246077522577 Averaged sum = 0.4122600905262786069 logp*logq = 38.93700656842550480 -------------- ************************************* p = 463; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 83076849749385039.06 -------------- Searches starting with [463,571]-exponents: u = 1, v = 29 n_start has 83 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(463,571) = 0.5870035428807111741 D2(463,571) = 0.002607973029078077888 C1(463,571) = 0.8090935848665049923 C2(463,571) = 1.652940818604854063 C3(463,571) = 4.340820933710713156 C4(463,571) = 4568 Sum = 4128.491109589853830 Averaged sum = 0.4124778808662057977 logp*logq = 38.95854247492073317 -------------- ************************************* p = 463; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88581593688470574.89 -------------- Searches starting with [463,577]-exponents: u = 1, v = 27 n_start has 78 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(463,577) = 0.7056194237991530818 D2(463,577) = 0.02371704785816882549 C1(463,577) = 1.085839753186232235 C2(463,577) = 1.688346782434598555 C3(463,577) = 7.172159625970493422 C4(463,577) = 4616 Sum = 3880.814797462203887 Averaged sum = 0.3877325204777903773 logp*logq = 39.02270048475970343 -------------- ************************************* p = 463; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98433964503442049.22 -------------- Searches starting with [463,587]-exponents: u = 1, v = 25 n_start has 72 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(463,587) = 0.6703150346405411070 D2(463,587) = 0.005356162317320404535 C1(463,587) = 1.039343045355267075 C2(463,587) = 1.700357371657461876 C3(463,587) = 6.591893603089961406 C4(463,587) = 4696 Sum = 3884.449815943912990 Averaged sum = 0.3880956954684696763 logp*logq = 39.12816230713012756 -------------- ************************************* p = 463; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104773828580810173.3 -------------- Searches starting with [463,593]-exponents: u = 1, v = 24 n_start has 70 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(463,593) = 0.8868270952375740222 D2(463,593) = 0.1154876073655542131 C1(463,593) = 1.217932164913976337 C2(463,593) = 1.811985533049283603 C3(463,593) = 9.114645190487534283 C4(463,593) = 4744 Sum = 4240.186147939886506 Averaged sum = 0.4236373411869204222 logp*logq = 39.19058040832823132 -------------- ************************************* p = 463; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 111451969781295973.4 -------------- Searches starting with [463,599]-exponents: u = 1, v = 23 n_start has 67 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(463,599) = 1.002082373989811783 D2(463,599) = 0.1022112773232231058 C1(463,599) = 1.365442160177211145 C2(463,599) = 1.815449358500535369 C3(463,599) = 11.91183750808803225 C4(463,599) = 4792 Sum = 4190.621922930551805 Averaged sum = 0.4186853754551455495 logp*logq = 39.25237012871195835 -------------- ************************************* p = 463; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 113755663195427968.9 -------------- Searches starting with [463,601]-exponents: u = 1, v = 23 n_start has 67 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(463,601) = 0.7386734311533989821 D2(463,601) = 0.01397028515542404371 C1(463,601) = 1.083063976172319001 C2(463,601) = 1.743969669736443247 C3(463,601) = 7.136127706911122133 C4(463,601) = 4808 Sum = 4085.907663469659684 Averaged sum = 0.4082233653181796068 logp*logq = 39.27282923783587939 -------------- ************************************* p = 463; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120907300796548125.4 -------------- Searches starting with [463,607]-exponents: u = 1, v = 22 n_start has 64 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(463,607) = 1.088785271705871479 D2(463,607) = 0.1147717692795955514 C1(463,607) = 1.552238164863052819 C2(463,607) = 1.846250117532872468 C3(463,607) = 16.71765761617907733 C4(463,607) = 4856 Sum = 5215.662298672918491 Averaged sum = 0.5210972423491775892 logp*logq = 39.33380053777642935 -------------- ************************************* p = 463; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128431503482107615.2 -------------- Searches starting with [463,613]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(463,613) = 0.6661795540553774095 D2(463,613) = 0.07630931901750508277 C1(463,613) = 1.051685760655099106 C2(463,613) = 1.826667523360588543 C3(463,613) = 6.741186495412589201 C4(463,613) = 4904 Sum = 4014.203528932831586 Averaged sum = 0.4010593994337927452 logp*logq = 39.39417211029414328 -------------- ************************************* p = 463; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 133662241495805949.3 -------------- Searches starting with [463,617]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(463,617) = 0.5488393311114270598 D2(463,617) = 0.004653878804294736752 C1(463,617) = 0.7856853664701793688 C2(463,617) = 1.774683354312584770 C3(463,617) = 4.160313111199028732 C4(463,617) = 4936 Sum = 4199.378747104410794 Averaged sum = 0.4195602704670207607 logp*logq = 39.43409242698471416 -------------- ************************************* p = 463; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 136343746378170957.8 -------------- Searches starting with [463,619]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(463,619) = 0.6532494388771434893 D2(463,619) = 0.03140398078133514728 C1(463,619) = 1.036746075135437106 C2(463,619) = 1.801921456245211044 C3(463,619) = 6.560905112474702338 C4(463,619) = 4952 Sum = 3863.451733821639889 Averaged sum = 0.3859977753843181026 logp*logq = 39.45395563867061441 -------------- ************************************* p = 463; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 153396676570413701.9 -------------- Searches starting with [463,631]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(463,631) = 0.6468875882429530974 D2(463,631) = 0.05772973644948449942 C1(463,631) = 0.8899844851986933369 C2(463,631) = 1.851311190560504826 C3(463,631) = 5.027065139341636597 C4(463,631) = 5048 Sum = 4173.244024281104970 Averaged sum = 0.4169491481947352352 logp*logq = 39.57180361848798664 -------------- ************************************* p = 463; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 168938434252451919.0 -------------- Searches starting with [463,641]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(463,641) = 0.6495665246659323816 D2(463,641) = 0.03811908268729734358 C1(463,641) = 1.042995839322865924 C2(463,641) = 1.855932390842644950 C3(463,641) = 6.635728647864074102 C4(463,641) = 5128 Sum = 4080.310676889754161 Averaged sum = 0.4076641699360329864 logp*logq = 39.66831074909825740 -------------- ************************************* p = 463; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 172199728386724872.9 -------------- Searches starting with [463,643]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(463,643) = 0.6475488365408180814 D2(463,643) = 0.06369691159555902634 C1(463,643) = 0.9357044326622623258 C2(463,643) = 1.881986680673917673 C3(463,643) = 5.461880292247144361 C4(463,643) = 5144 Sum = 3836.167993309236992 Averaged sum = 0.3832718546617281438 logp*logq = 39.68743140959020804 -------------- ************************************* p = 463; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 178880602879483211.7 -------------- Searches starting with [463,647]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(463,647) = 0.7987235100040873662 D2(463,647) = 0.1206814801637012225 C1(463,647) = 1.155644318838567200 C2(463,647) = 1.939919717687753813 C3(463,647) = 8.140601077098573861 C4(463,647) = 5176 Sum = 4508.198860294004342 Averaged sum = 0.4504145129677294776 logp*logq = 39.72549495517296562 -------------- ************************************* p = 463; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189307921685588956.8 -------------- Searches starting with [463,653]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(463,653) = 0.6175456226547659488 D2(463,653) = 0.02531302871683542404 C1(463,653) = 0.9980963604613679191 C2(463,653) = 1.869742992664352514 C3(463,653) = 6.116563502963213725 C4(463,653) = 5224 Sum = 4141.574337716694783 Averaged sum = 0.4137850272471470460 logp*logq = 39.78215129950653917 -------------- ************************************* p = 463; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200239278391618191.6 -------------- Searches starting with [463,659]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(463,659) = 0.6001989695739152730 D2(463,659) = 0.09884313498532674032 C1(463,659) = 0.8410403302158084686 C2(463,659) = 1.944682865398662926 C3(463,659) = 4.599876249734010226 C4(463,659) = 5272 Sum = 4200.531572570121640 Averaged sum = 0.4196754493525948286 logp*logq = 39.83828943831026253 -------------- ************************************* p = 463; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 203998416288695967.3 -------------- Searches starting with [463,661]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(463,661) = 0.6873534581030644162 D2(463,661) = 0.1269069215733496228 C1(463,661) = 0.9780383097633477721 C2(463,661) = 1.973213708629223372 C3(463,661) = 5.897956881101972165 C4(463,661) = 5288 Sum = 3871.446006805930629 Averaged sum = 0.3867964838451324437 logp*logq = 39.85688862543406111 -------------- ************************************* p = 463; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 227816181927739014.5 -------------- Searches starting with [463,673]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(463,673) = 0.6284012277036376453 D2(463,673) = 0.07953540942005583087 C1(463,673) = 0.8837165067040393556 C2(463,673) = 1.954661705215855936 C3(463,673) = 4.970216402038042375 C4(463,673) = 5384 Sum = 4080.834173183751878 Averaged sum = 0.4077164724931313696 logp*logq = 39.96731547908012838 -------------- ************************************* p = 463; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 236254805399810212.0 -------------- Searches starting with [463,677]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(463,677) = 0.6040822184361359599 D2(463,677) = 0.1172066407197398401 C1(463,677) = 0.9910270077733615653 C2(463,677) = 1.422859191714112522 C3(463,677) = 6.038607270385447149 C4(463,677) = 5416 Sum = 3845.663759485917922 Averaged sum = 0.3842205774289057770 logp*logq = 40.00368730139433294 -------------- ************************************* p = 463; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 249402404174154867.5 -------------- Searches starting with [463,683]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(463,683) = 0.5951345957113501952 D2(463,683) = 0.1418742380140696156 C1(463,683) = 0.8388469148112106720 C2(463,683) = 1.782730946874645911 C3(463,683) = 4.581605802055872231 C4(463,683) = 5464 Sum = 4211.819008236507385 Averaged sum = 0.4208031779634836032 logp*logq = 40.05784406794237524 -------------- ************************************* p = 463; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 267880580171086059.7 -------------- Searches starting with [463,691]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(463,691) = 0.9017997228528346240 D2(463,691) = 0.07825877210698240370 C1(463,691) = 1.322239113205204785 C2(463,691) = 1.986192050895861915 C3(463,691) = 11.01373017122486519 C4(463,691) = 5528 Sum = 3974.883644361296562 Averaged sum = 0.3971309465842038728 logp*logq = 40.12931767973743017 -------------- ************************************* p = 463; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 292577191802842641.2 -------------- Searches starting with [463,701]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(463,701) = 0.8517097341472381122 D2(463,701) = 0.1285272043703960503 C1(463,701) = 1.205390245030510872 C2(463,701) = 1.795714357415379941 C3(463,701) = 8.909567850438502599 C4(463,701) = 5608 Sum = 4691.592832397771946 Averaged sum = 0.4687374195621712404 logp*logq = 40.21750493036562888 -------------- ************************************* p = 463; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 313681220661407246.9 -------------- Searches starting with [463,709]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(463,709) = 0.7964242405681250347 D2(463,709) = 0.04501986502987626854 C1(463,709) = 1.129100453054200738 C2(463,709) = 1.988850647233556549 C3(463,709) = 7.757820127357141870 C4(463,709) = 5672 Sum = 4288.418023787704951 Averaged sum = 0.4284561918061449646 logp*logq = 40.28715364430968176 -------------- ************************************* p = 463; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 341839462308808250.2 -------------- Searches starting with [463,719]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(463,719) = 0.8206155405525588312 D2(463,719) = 0.08877628689707860799 C1(463,719) = 1.370446392670831014 C2(463,719) = 1.249879022302554493 C3(463,719) = 12.02048895057060657 C4(463,719) = 5752 Sum = 3781.474905708403350 Averaged sum = 0.3778074638533722999 logp*logq = 40.37311761331287583 -------------- ************************************* p = 463; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365861886770040736.0 -------------- Searches starting with [463,727]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(463,727) = 0.8104512907222505393 D2(463,727) = 0.1100248896586621576 C1(463,727) = 1.153196027705538113 C2(463,727) = 1.807735227415629858 C3(463,727) = 8.104518185560084936 C4(463,727) = 5816 Sum = 4499.285679982101805 Averaged sum = 0.4495239964014488765 logp*logq = 40.44103229854259498 -------------- ************************************* p = 463; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 384792127271163004.0 -------------- Searches starting with [463,733]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(463,733) = 0.5907875257490726721 D2(463,733) = 0.03246423380749985341 C1(463,733) = 0.8758019875663188883 C2(463,733) = 2.017252164070510481 C3(463,733) = 4.899351483524372437 C4(463,733) = 5864 Sum = 3839.757486557228253 Averaged sum = 0.3836304812226224651 logp*logq = 40.49147965421841846 -------------- ************************************* p = 463; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 404535443152675658.0 -------------- Searches starting with [463,739]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(463,739) = 0.7606987933974935882 D2(463,739) = 0.07930545027502567695 C1(463,739) = 1.052668965134110802 C2(463,739) = 1.410665023963604243 C3(463,739) = 6.753223369381514101 C4(463,739) = 5912 Sum = 4342.614952674493568 Averaged sum = 0.4338710113572278518 logp*logq = 40.54151574970333311 -------------- ************************************* p = 463; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 418163107228749284.8 -------------- Searches starting with [463,743]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(463,743) = 1.014104174152808864 D2(463,743) = 0.06784293746118901040 C1(463,743) = 1.711340209315901584 C2(463,743) = 1.175953825143677422 C3(463,743) = 22.31254154643759169 C4(463,743) = 5944 Sum = 3526.820642987362018 Averaged sum = 0.3523649358564653829 logp*logq = 40.57464796000505147 -------------- ************************************* p = 463; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 446573593588647050.0 -------------- Searches starting with [463,751]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(463,751) = 0.6119187436760175332 D2(463,751) = 0.09442472667879545627 C1(463,751) = 0.9109134502592249892 C2(463,751) = 1.824906953510832183 C3(463,751) = 5.221637223590124708 C4(463,751) = 6008 Sum = 3592.410910503774696 Averaged sum = 0.3589180647920646114 logp*logq = 40.64038060491222343 -------------- ************************************* p = 463; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 468926386205813077.2 -------------- Searches starting with [463,757]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(463,757) = 0.8145042877651457453 D2(463,757) = 0.08334649262927751946 C1(463,757) = 1.262912695005736488 C2(463,757) = 1.681612860935333029 C3(463,757) = 9.889737527807167327 C4(463,757) = 6056 Sum = 3273.985701605897023 Averaged sum = 0.3271041764018280570 logp*logq = 40.68922219198816485 -------------- ************************************* p = 463; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 484342479898648610.3 -------------- Searches starting with [463,761]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(463,761) = 0.6495012044279340078 D2(463,761) = 0.01008029393399127989 C1(463,761) = 0.9689820575150058983 C2(463,761) = 2.041239116401908967 C3(463,761) = 5.801832651694175864 C4(463,761) = 6088 Sum = 3743.467980885303942 Averaged sum = 0.3740101889185037408 logp*logq = 40.72156865449066421 -------------- ************************************* p = 463; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 516449869356544693.4 -------------- Searches starting with [463,769]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(463,769) = 0.6814291930164096849 D2(463,769) = 0.06117633948569175397 C1(463,769) = 1.163591002986789669 C2(463,769) = 1.349949331471133471 C3(463,769) = 8.258829879273383201 C4(463,769) = 6152 Sum = 3918.038510343380099 Averaged sum = 0.3914515446441582674 logp*logq = 40.78575462039891329 -------------- ************************************* p = 463; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 533159825172267884.6 -------------- Searches starting with [463,773]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(463,773) = 0.9919876418944256109 D2(463,773) = 0.05475522059803043856 C1(463,773) = 1.693723300978721098 C2(463,773) = 1.157075179138109411 C3(463,773) = 21.61059801456963291 C4(463,773) = 6184 Sum = 3301.374454368596486 Averaged sum = 0.3298405889068434895 logp*logq = 40.81759763373788091 -------------- ************************************* p = 463; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 595254192274736975.3 -------------- Searches starting with [463,787]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(463,787) = 0.7997032016871049399 D2(463,787) = 0.07220493398799497141 C1(463,787) = 1.123785378813256026 C2(463,787) = 1.841543998644617686 C3(463,787) = 7.683363622855193505 C4(463,787) = 6296 Sum = 4159.254379201289180 Averaged sum = 0.4155514416226685164 logp*logq = 40.92776492313355696 -------------- ************************************* p = 463; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 643219549495250436.8 -------------- Searches starting with [463,797]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(463,797) = 0.8387410858312213542 D2(463,797) = 0.05767880614259599905 C1(463,797) = 1.154992298708191320 C2(463,797) = 1.604846574832949095 C3(463,797) = 8.130975945340191386 C4(463,797) = 6376 Sum = 4132.177135748438291 Averaged sum = 0.4128461520380096204 logp*logq = 41.00526250642930016 -------------- ************************************* p = 463; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 705008434831380370.5 -------------- Searches starting with [463,809]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(463,809) = 1.592263516970593034 D2(463,809) = 0.03670268270396302798 C1(463,809) = 2.754918735060049642 C2(463,809) = 1.133028745301763000 C3(463,809) = 148.2165915135628770 C4(463,809) = 6472 Sum = 4852.486538285097058 Averaged sum = 0.4848123227380454648 logp*logq = 41.09698616195121256 -------------- ************************************* p = 463; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 715774130040443684.5 -------------- Searches starting with [463,811]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(463,811) = 0.8265040378940371968 D2(463,811) = 0.04841706336554557647 C1(463,811) = 1.430009187756272960 C2(463,811) = 1.253796627265668111 C3(463,811) = 13.39238935686392515 C4(463,811) = 6488 Sum = 4014.954563542242935 Averaged sum = 0.4011344353623981352 logp*logq = 41.11214105126572487 -------------- ************************************* p = 463; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 771689942949184559.7 -------------- Searches starting with [463,821]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(463,821) = 0.8723961911705364894 D2(463,821) = 0.05301522561992240522 C1(463,821) = 1.231603625203358646 C2(463,821) = 1.864884229304296397 C3(463,821) = 9.343572968963640554 C4(463,821) = 6568 Sum = 4548.169241835129126 Averaged sum = 0.4544079570221929389 logp*logq = 41.18735923595704757 -------------- ************************************* p = 463; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 783300569073697487.8 -------------- Searches starting with [463,823]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(463,823) = 0.9569579710700728414 D2(463,823) = 0.05186504006728752233 C1(463,823) = 1.445340529064950047 C2(463,823) = 1.864171626394274003 C3(463,823) = 13.77016930942807487 C4(463,823) = 6584 Sum = 3623.886226785569174 Averaged sum = 0.3620627661889868292 logp*logq = 41.20229288579159006 -------------- ************************************* p = 463; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 806960907876642839.2 -------------- Searches starting with [463,827]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(463,827) = 0.6012818614915754059 D2(463,827) = 0.04958394027708159121 C1(463,827) = 0.8223791023150160594 C2(463,827) = 1.862762451320605285 C3(463,827) = 4.446732034857752956 C4(463,827) = 6616 Sum = 4083.863327590310755 Averaged sum = 0.4080191155550315471 logp*logq = 41.23205162071443302 -------------- ************************************* p = 463; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 819013576532803969.5 -------------- Searches starting with [463,829]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(463,829) = 0.6585950824007755339 D2(463,829) = 0.04845288497347154372 C1(463,829) = 0.8970859587535300627 C2(463,829) = 1.862065748639765430 C3(463,829) = 5.092259507065942576 C4(463,829) = 6632 Sum = 3894.688257256173088 Averaged sum = 0.3891186189685456178 logp*logq = 41.24687705558948896 -------------- ************************************* p = 463; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 881562051095944122.4 -------------- Searches starting with [463,839]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(463,839) = 0.7749876720214716175 D2(463,839) = 0.03734978577500188677 C1(463,839) = 1.173750035950788619 C2(463,839) = 1.618576976396041296 C3(463,839) = 8.412477491269774216 C4(463,839) = 6712 Sum = 3173.706746991896268 Averaged sum = 0.3170852979310516803 logp*logq = 41.32047178689277008 -------------- ************************************* p = 463; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 975809771583298649.2 -------------- Searches starting with [463,853]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(463,853) = 0.8507716888605173445 D2(463,853) = 0.02336501656035423064 C1(463,853) = 1.494647969469816811 C2(463,853) = 1.225548755945965857 C3(463,853) = 15.05892313263821777 C4(463,853) = 6824 Sum = 3833.948041299673720 Averaged sum = 0.3830500590767982536 logp*logq = 41.42204405616244980 -------------- ************************************* p = 463; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.004235893318328667 E18 -------------- Searches starting with [463,857]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(463,857) = 0.9338552960636603083 D2(463,857) = 0.02660296278645740681 C1(463,857) = 1.640490799025669023 C2(463,857) = 1.178332299227931480 C3(463,857) = 19.62091111557057558 C4(463,857) = 6856 Sum = 3743.142852222324434 Averaged sum = 0.3739777052874737170 logp*logq = 41.45075862106941922 -------------- ************************************* p = 463; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.018706830519527427 E18 -------------- Searches starting with [463,859]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(463,859) = 0.7436065243887701607 D2(463,859) = 0.03291761838286142318 C1(463,859) = 1.306283389404342787 C2(463,859) = 1.893507452886711921 C3(463,859) = 10.69944378266327837 C4(463,859) = 6872 Sum = 4013.077660199635834 Averaged sum = 0.4009469137975457922 logp*logq = 41.46506568361775703 -------------- ************************************* p = 463; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.048172815312808728 E18 -------------- Searches starting with [463,863]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(463,863) = 1.074235184990703900 D2(463,863) = 0.03079904953249944463 C1(463,863) = 1.524309271372195268 C2(463,863) = 1.892241025318762851 C3(463,863) = 15.89158616265350802 C4(463,863) = 6904 Sum = 5330.821134450998248 Averaged sum = 0.5326027709512437054 logp*logq = 41.49358014630478637 -------------- ************************************* p = 463; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.156986321081504268 E18 -------------- Searches starting with [463,877]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(463,877) = 0.6207748792113195230 D2(463,877) = 0.02354948484651394025 C1(463,877) = 0.9044798336660892941 C2(463,877) = 1.887942581334662396 C3(463,877) = 5.161036815726213418 C4(463,877) = 7016 Sum = 3895.365702675536311 Averaged sum = 0.3891863025952179349 logp*logq = 41.59235029928728529 -------------- ************************************* p = 463; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.189757104154512711 E18 -------------- Searches starting with [463,881]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(463,881) = 0.6024373883838465462 D2(463,881) = 0.02152376943182649412 C1(463,881) = 0.9615218179163137073 C2(463,881) = 1.886751230736736078 C3(463,881) = 5.723826652228855394 C4(463,881) = 7048 Sum = 4014.542283510822199 Averaged sum = 0.4010932444310942350 logp*logq = 41.62028084602625927 -------------- ************************************* p = 463; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.206431618044084096 E18 -------------- Searches starting with [463,883]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(463,883) = 0.9664945585761453452 D2(463,883) = 0.02051826687833493281 C1(463,883) = 1.542512980472492263 C2(463,883) = 1.886161464305973604 C3(463,883) = 16.42524694009068773 C4(463,883) = 7064 Sum = 3268.983555209106404 Averaged sum = 0.3266044115505151767 logp*logq = 41.63419860041185628 -------------- ************************************* p = 463; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.240368003957313365 E18 -------------- Searches starting with [463,887]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(463,887) = 0.6099687962520242086 D2(463,887) = 0.01699875413462892726 C1(463,887) = 0.8535718799884731749 C2(463,887) = 1.729996351973862359 C3(463,887) = 4.705666061430752956 C4(463,887) = 7096 Sum = 4133.661171924995216 Averaged sum = 0.4129944222125082642 logp*logq = 41.66193978686500097 -------------- ************************************* p = 463; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.422283792650908716 E18 -------------- Searches starting with [463,907]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(463,907) = 0.6699511928730802837 D2(463,907) = 0.006777775392381280371 C1(463,907) = 0.9465739334087877473 C2(463,907) = 1.444678035014043128 C3(463,907) = 5.570669926383536515 C4(463,907) = 7256 Sum = 4343.906442247679866 Averaged sum = 0.4340000441850014852 logp*logq = 41.79879555825278567 -------------- ************************************* p = 463; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.461221351081543632 E18 -------------- Searches starting with [463,911]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(463,911) = 0.7403544345426657490 D2(463,911) = 0.004830699203963217679 C1(463,911) = 1.323950947972593353 C2(463,911) = 1.309391219939254734 C3(463,911) = 11.04799250945195099 C4(463,911) = 7288 Sum = 4132.268169469141540 Averaged sum = 0.4128552472244121830 logp*logq = 41.82580430174363445 -------------- ************************************* p = 463; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.541777785933085624 E18 -------------- Searches starting with [463,919]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(463,919) = 0.8298076914009449258 D2(463,919) = 0.003286958817240606118 C1(463,919) = 1.483702435002041858 C2(463,919) = 1.924150120412373003 C3(463,919) = 14.76280055319802075 C4(463,919) = 7352 Sum = 4051.919132148466657 Averaged sum = 0.4048275684032837103 logp*logq = 41.87946783095365438 -------------- ************************************* p = 463; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.647670418795659109 E18 -------------- Searches starting with [463,929]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(463,929) = 0.6222175865932647791 D2(463,929) = 0.04633190299681215988 C1(463,929) = 0.8455035455008055172 C2(463,929) = 1.568616711315153428 C3(463,929) = 4.637278675808857089 C4(463,929) = 7432 Sum = 3965.431884655092238 Averaged sum = 0.3961866205070528762 logp*logq = 41.94589409678484958 -------------- ************************************* p = 463; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.736706719782198346 E18 -------------- Searches starting with [463,937]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(463,937) = 0.7000803242513011427 D2(463,937) = 0.08071835374701267525 C1(463,937) = 0.9488620273816010151 C2(463,937) = 1.726292767511165981 C3(463,937) = 5.593845430625306310 C4(463,937) = 7496 Sum = 3812.833695607080449 Averaged sum = 0.3809405230899271105 logp*logq = 41.99852230393835400 -------------- ************************************* p = 463; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.782713196939867275 E18 -------------- Searches starting with [463,941]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(463,941) = 0.6985556163327855399 D2(463,941) = 0.1032231062086826607 C1(463,941) = 1.074969640066983941 C2(463,941) = 1.851891398399657725 C3(463,941) = 7.032086679898635584 C4(463,941) = 7528 Sum = 3415.321464579050745 Averaged sum = 0.3412250439183785339 logp*logq = 42.02466814562332273 -------------- ************************************* p = 463; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.853633153719354628 E18 -------------- Searches starting with [463,947]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(463,947) = 0.5813905814581853815 D2(463,947) = 0.1312883095931541857 C1(463,947) = 0.8322828597768428278 C2(463,947) = 1.880990264720621896 C3(463,947) = 4.527361725892842003 C4(463,947) = 7576 Sum = 4068.752170659926432 Averaged sum = 0.4065093586432137508 logp*logq = 42.06367925399284739 -------------- ************************************* p = 463; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.926899627971507801 E18 -------------- Searches starting with [463,953]-exponents: u = 10, v = 8 n_start has 51 digits **************************************************** Computing .... elapsed time = 44 minutes **************************************************** starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(463,953) = 1.196490312759529377 D2(463,953) = 0.1073086846000092529 C1(463,953) = 1.933811914750276196 C2(463,953) = 1.251036055096893451 C3(463,953) = 33.40861182158587946 C4(463,953) = 7624 Sum = 3628.556611652932821 Averaged sum = 0.3625293847190461406 logp*logq = 42.10244397477153230 -------------- ************************************* p = 463; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.107331398137215161 E18 -------------- Searches starting with [463,967]-exponents: u = 19, v = 8 n_start has 75 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(463,967) = 1.277349399048621988 D2(463,967) = 0.09020933215776889610 C1(463,967) = 1.972894341723227745 C2(463,967) = 1.857476617937263995 C3(463,967) = 35.86374837360791225 C4(463,967) = 7736 Sum = 5020.893576324991373 Averaged sum = 0.5016378835373155532 logp*logq = 42.19195408070257072 -------------- ************************************* p = 463; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.161405657448849935 E18 -------------- Searches starting with [463,971]-exponents: u = 28, v = 8 n_start has 99 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(463,971) = 0.7798812999076605211 D2(463,971) = 0.07181999864117763005 C1(463,971) = 1.118869264979677875 C2(463,971) = 1.839838487788633432 C3(463,971) = 7.615132287808647426 C4(463,971) = 7768 Sum = 4164.817494497621930 Averaged sum = 0.4161072529221322739 logp*logq = 42.21729045126908418 -------------- ************************************* p = 463; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.244691968186776235 E18 -------------- Searches starting with [463,977]-exponents: u = 37, v = 8 n_start has 123 digits starting right neighbors generation We generated 842 left neighbors We generated 9168 right neighbors We generated 10009 non-negative rho_i D1(463,977) = 0.6206793249905091619 D2(463,977) = 0.04612321887411803164 C1(463,977) = 0.8755412867967887740 C2(463,977) = 1.815262651695393921 C3(463,977) = 4.897034492900707975 C4(463,977) = 7816 Sum = 4154.592637387809929 Averaged sum = 0.4150856866208222529 logp*logq = 42.25509997773854932 -------------- ************************************* p = 463; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.330648003421508885 E18 -------------- Searches starting with [463,983]-exponents: u = 55, v = 8 n_start has 171 digits starting right neighbors generation We generated 1740 left neighbors We generated 8270 right neighbors We generated 10009 non-negative rho_i D1(463,983) = 0.6353187417597846647 D2(463,983) = 0.02231365841498627888 C1(463,983) = 0.8765255118543009227 C2(463,983) = 1.792567078358543601 C3(463,983) = 4.905787585154360327 C4(463,983) = 7864 Sum = 4134.685212409305016 Averaged sum = 0.4130967341801683500 logp*logq = 42.29267801586060591 -------------- ************************************* p = 463; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.449527532009966731 E18 -------------- Searches starting with [463,991]-exponents: u = 136, v = 8 n_start has 387 digits --- performed 5000 steps in the continued fraction search [463,991]-exponents: u = 71, v = 21 --- --- performed 1000 steps in the first trivial search [463,991]-exponents: u = 22, v = 7 --- starting right neighbors generation We generated 9165 left neighbors We generated 845 right neighbors We generated 10009 non-negative rho_i D1(463,991) = 0.6380766636803291630 D2(463,991) = 0.01205245746576760449 C1(463,991) = 0.8737457860567721378 C2(463,991) = 1.685202084603867237 C3(463,991) = 4.881106627079142913 C4(463,991) = 7928 Sum = 4405.000756496259742 Averaged sum = 0.4401039820657667841 logp*logq = 42.34242683577508331 -------------- ************************************* p = 463; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.541981585456326183 E18 -------------- Searches starting with [463,997]-exponents: u = 4483, v = 8 n_start has 11974 digits --- performed 5000 steps in the continued fraction search [463,997]-exponents: u = 4394, v = 86 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(463,997) = 0.6402604840620729461 D2(463,997) = 0.5689516238617806835 C1(463,997) = 0.7784047232545676681 C2(463,997) = 1.447684206613061101 C3(463,997) = 4.105715152880545131 C4(463,997) = 7976 Sum = 6334.324890508949556 Averaged sum = 0.6334958386347584314 logp*logq = 42.37947560251753046 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(463,997) = 0.6402604840620729461 D2(463,997) = 0.5689516238617806835 C1(463,997) = 0.7784047232545676681 C2(463,997) = 1.447684206613061101 C3(463,997) = 4.105715152880545131 C4(463,997) = 7976 Sum = 6334.324890508949556 Averaged sum = 0.6334958386347584314 logp*logq = 42.37947560251753046 -------------- ************************************* p = 467; q = 479; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 29800571063386476.09 -------------- Searches starting with [467,479]-exponents: u = 1, v = 242 n_start has 652 digits --- performed 5000 steps in the continued fraction search [467,479]-exponents: u = 128, v = 94 --- starting right neighbors generation We generated 6669 left neighbors We generated 3341 right neighbors We generated 10009 non-negative rho_i D1(467,479) = 0.6893107618911850170 D2(467,479) = 0.0004609734774906504709 C1(467,479) = 0.9171781209019181593 C2(467,479) = 1.147949062230544184 C3(467,479) = 5.288118485503662196 C4(467,479) = 3832 Sum = 5026.088219788729301 Averaged sum = 0.5021568807861653812 logp*logq = 37.93330395143932070 -------------- ************************************* p = 467; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 32994221463758508.11 -------------- Searches starting with [467,487]-exponents: u = 1, v = 146 n_start has 396 digits starting right neighbors generation We generated 2379 left neighbors We generated 7631 right neighbors We generated 10009 non-negative rho_i D1(467,487) = 0.5875481435709147880 D2(467,487) = 0.01228182730463383441 C1(467,487) = 0.8010476301506494255 C2(467,487) = 1.246663497899534930 C3(467,487) = 4.282711651636481180 C4(467,487) = 3896 Sum = 4775.751366600684468 Averaged sum = 0.4771457055250958605 logp*logq = 38.03510883388528390 -------------- ************************************* p = 467; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 34695480768889212.84 -------------- Searches starting with [467,491]-exponents: u = 1, v = 122 n_start has 331 digits starting right neighbors generation We generated 1754 left neighbors We generated 8256 right neighbors We generated 10009 non-negative rho_i D1(467,491) = 0.6057224292469429110 D2(467,491) = 0.002880220539872058516 C1(467,491) = 0.8339049758388986195 C2(467,491) = 1.273098912270200158 C3(467,491) = 4.546012836177864159 C4(467,491) = 3928 Sum = 4709.636449445355696 Averaged sum = 0.4705401588016141169 logp*logq = 38.08538583617409354 -------------- ************************************* p = 467; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38319013835087539.23 -------------- Searches starting with [467,499]-exponents: u = 1, v = 92 n_start has 251 digits starting right neighbors generation We generated 978 left neighbors We generated 9032 right neighbors We generated 10009 non-negative rho_i D1(467,499) = 0.6355575534032308227 D2(467,499) = 0.01568998201613463241 C1(467,499) = 0.8895759340399673718 C2(467,499) = 1.343390314048780905 C3(467,499) = 5.029602417778745564 C4(467,499) = 3992 Sum = 4659.398491631583522 Averaged sum = 0.4655208803708246100 logp*logq = 38.18472261268969809 -------------- ************************************* p = 467; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40246335954754696.83 -------------- Searches starting with [467,503]-exponents: u = 1, v = 82 n_start has 225 digits starting right neighbors generation We generated 794 left neighbors We generated 9216 right neighbors We generated 10009 non-negative rho_i D1(467,503) = 0.6478400042387168197 D2(467,503) = 0.01404187264874189667 C1(467,503) = 0.9133403819220823013 C2(467,503) = 1.367617643535095131 C3(467,503) = 5.251394871564663066 C4(467,503) = 4024 Sum = 4657.862629438257224 Averaged sum = 0.4653674322547964056 logp*logq = 38.23379536245156973 -------------- ************************************* p = 467; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 43289114064513860.81 -------------- Searches starting with [467,509]-exponents: u = 1, v = 71 n_start has 195 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(467,509) = 0.5628673089298161887 D2(467,509) = 0.02011514363906558465 C1(467,509) = 0.8018625064872108186 C2(467,509) = 1.408055062496788295 C3(467,509) = 4.289053459318847825 C4(467,509) = 4072 Sum = 4016.357070390001569 Averaged sum = 0.4012745599350586042 logp*logq = 38.30667759102496588 -------------- ************************************* p = 467; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49955025736646681.94 -------------- Searches starting with [467,521]-exponents: u = 1, v = 56 n_start has 155 digits starting right neighbors generation We generated 435 left neighbors We generated 9575 right neighbors We generated 10009 non-negative rho_i D1(467,521) = 0.6769833757139586942 D2(467,521) = 0.006272524070648047272 C1(467,521) = 0.9810408502888026908 C2(467,521) = 1.457000343965726101 C3(467,521) = 5.938330109404456745 C4(467,521) = 4168 Sum = 3296.145277593569908 Averaged sum = 0.3293181414320681295 logp*logq = 38.44989951029214505 -------------- ************************************* p = 467; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 51145386786777633.45 -------------- Searches starting with [467,523]-exponents: u = 1, v = 54 n_start has 150 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(467,523) = 0.5955196548195024510 D2(467,523) = 0.03538214961983994688 C1(467,523) = 0.8653753992493709786 C2(467,523) = 1.491742554043007835 C3(467,523) = 4.813364288229805303 C4(467,523) = 4184 Sum = 3708.159234528382187 Averaged sum = 0.3704824892125469264 logp*logq = 38.47344869334414699 -------------- ************************************* p = 467; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 62969510532332095.53 -------------- Searches starting with [467,541]-exponents: u = 1, v = 41 n_start has 115 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(467,541) = 0.6174472524528212609 D2(467,541) = 0.05368007283108684058 C1(467,541) = 0.9155421869669765155 C2(467,541) = 1.582385967448581991 C3(467,541) = 5.272432810546014260 C4(467,541) = 4328 Sum = 4136.588679882688624 Averaged sum = 0.4132869097694763337 logp*logq = 38.68142704435162183 -------------- ************************************* p = 467; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 67386299981726131.09 -------------- Searches starting with [467,547]-exponents: u = 1, v = 38 n_start has 107 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(467,547) = 0.7058155101896350089 D2(467,547) = 0.03134346391019485398 C1(467,547) = 1.053253984085573989 C2(467,547) = 1.584892873517136112 C3(467,547) = 6.770375495995523617 C4(467,547) = 4376 Sum = 4315.866183396732851 Averaged sum = 0.4311985396539846989 logp*logq = 38.74921812780186440 -------------- ************************************* p = 467; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75323436100385590.41 -------------- Searches starting with [467,557]-exponents: u = 1, v = 34 n_start has 97 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(467,557) = 0.7054353155241015217 D2(467,557) = 0.003859425926360660046 C1(467,557) = 1.062896317272746099 C2(467,557) = 1.595717731912186585 C3(467,557) = 6.889962410492336776 C4(467,557) = 4456 Sum = 4181.908425948347183 Averaged sum = 0.4178148092664948729 logp*logq = 38.86056771768543723 -------------- ************************************* p = 467; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 80450772893644212.02 -------------- Searches starting with [467,563]-exponents: u = 1, v = 32 n_start has 91 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(467,563) = 0.7036949507527902806 D2(467,563) = 0.06466583224495559162 C1(467,563) = 1.066053822023393914 C2(467,563) = 1.668000341498868794 C3(467,563) = 6.929579964963714654 C4(467,563) = 4504 Sum = 4102.535729476494082 Averaged sum = 0.4098846767385846820 logp*logq = 38.92642187543337320 -------------- ************************************* p = 467; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85867166322059956.06 -------------- Searches starting with [467,569]-exponents: u = 1, v = 31 n_start has 89 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(467,569) = 0.7184722887579431755 D2(467,569) = 0.03149774907324592033 C1(467,569) = 1.094924544474960915 C2(467,569) = 1.657717388713151158 C3(467,569) = 7.302554708308328951 C4(467,569) = 4552 Sum = 3019.314481581293751 Averaged sum = 0.3016599541993499601 logp*logq = 38.99157791942393354 -------------- ************************************* p = 467; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87739097903356794.46 -------------- Searches starting with [467,571]-exponents: u = 1, v = 30 n_start has 86 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(467,571) = 0.5976699351182764826 D2(467,571) = 0.07547240694834593956 C1(467,571) = 0.8596215674264347897 C2(467,571) = 1.702195800152568100 C3(467,571) = 4.763335467730922882 C4(467,571) = 4568 Sum = 4092.026746503007722 Averaged sum = 0.4088347233992414549 logp*logq = 39.01314400912059408 -------------- ************************************* p = 467; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 93561179018364475.41 -------------- Searches starting with [467,577]-exponents: u = 1, v = 29 n_start has 83 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(467,577) = 0.8394966740477676218 D2(467,577) = 0.01851021716292403643 C1(467,577) = 1.287701926499934004 C2(467,577) = 1.670357902814979463 C3(467,577) = 10.36339646018255653 C4(467,577) = 4616 Sum = 2256.257479009110647 Averaged sum = 0.2254228673203227742 logp*logq = 39.07739193828266716 -------------- ************************************* p = 467; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103982765968066632.3 -------------- Searches starting with [467,587]-exponents: u = 1, v = 26 n_start has 75 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(467,587) = 0.6886702729296699737 D2(467,587) = 0.01437855187436116112 C1(467,587) = 1.063954976704878735 C2(467,587) = 1.695039351253248128 C3(467,587) = 6.903220220864898421 C4(467,587) = 4696 Sum = 3772.451261990073455 Averaged sum = 0.3769059108792160511 logp*logq = 39.18300156847481988 -------------- ************************************* p = 467; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110689696062842304.9 -------------- Searches starting with [467,593]-exponents: u = 1, v = 25 n_start has 72 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(467,593) = 0.6195504995891526673 D2(467,593) = 0.01666723622986505890 C1(467,593) = 0.8603069950523780255 C2(467,593) = 1.713165161913594448 C3(467,593) = 4.769267783301627486 C4(467,593) = 4744 Sum = 4222.920724718777690 Averaged sum = 0.4219123513556576771 logp*logq = 39.24550715046329079 -------------- ************************************* p = 467; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 117755103764884307.2 -------------- Searches starting with [467,599]-exponents: u = 1, v = 24 n_start has 70 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(467,599) = 0.6507986391629137544 D2(467,599) = 0.009545165565597946164 C1(467,599) = 0.9228564813723817966 C2(467,599) = 1.722783246742910209 C3(467,599) = 5.342926776077844765 C4(467,599) = 4792 Sum = 4096.834832733554557 Averaged sum = 0.4093150996836401795 logp*logq = 39.30738347094333569 -------------- ************************************* p = 467; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120192528250928798.1 -------------- Searches starting with [467,601]-exponents: u = 1, v = 24 n_start has 70 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(467,601) = 0.6076542754141332552 D2(467,601) = 0.04117122719845103914 C1(467,601) = 0.8624436743572731643 C2(467,601) = 1.754902644935432893 C3(467,601) = 4.787808008623314803 C4(467,601) = 4808 Sum = 4226.070367596190171 Averaged sum = 0.4222270324304316286 logp*logq = 39.32787125410574899 -------------- ************************************* p = 467; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 127759758314725262.0 -------------- Searches starting with [467,607]-exponents: u = 1, v = 23 n_start has 67 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(467,607) = 0.6075077135393134522 D2(467,607) = 0.02223190209342338191 C1(467,607) = 0.8909601486213447718 C2(467,607) = 1.753710250346700299 C3(467,607) = 5.042260390970953071 C4(467,607) = 4856 Sum = 3797.147544339499659 Averaged sum = 0.3793733184473473533 logp*logq = 39.38892800710248188 -------------- ************************************* p = 467; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 135721880727711288.8 -------------- Searches starting with [467,613]-exponents: u = 1, v = 22 n_start has 64 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(467,613) = 0.7252780797851472350 D2(467,613) = 0.1246140527713116773 C1(467,613) = 1.001339055638064605 C2(467,613) = 1.857556731950315991 C3(467,613) = 6.161292431656364499 C4(467,613) = 4904 Sum = 4115.884350241910767 Averaged sum = 0.4112183385195235055 logp*logq = 39.44938419214089386 -------------- ************************************* p = 467; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141257443136457460.1 -------------- Searches starting with [467,617]-exponents: u = 1, v = 22 n_start has 65 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(467,617) = 0.8303500126667262118 D2(467,617) = 0.05167444623903817095 C1(467,617) = 1.088249788801219929 C2(467,617) = 1.803006979123419732 C3(467,617) = 7.214579132839234485 C4(467,617) = 4936 Sum = 2660.986988850476585 Averaged sum = 0.2658594254021856914 logp*logq = 39.48936045832029514 -------------- ************************************* p = 467; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 144095332815045548.0 -------------- Searches starting with [467,619]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(467,619) = 0.6112574476398655979 D2(467,619) = 0.08349925138802809829 C1(467,619) = 0.8456143832423337012 C2(467,619) = 1.835316568742321990 C3(467,619) = 4.643707769709098562 C4(467,619) = 4952 Sum = 4072.554816519298128 Averaged sum = 0.4068892812987609280 logp*logq = 39.50925150887703829 -------------- ************************************* p = 467; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162144556458583503.8 -------------- Searches starting with [467,631]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(467,631) = 0.6107054923746818246 D2(467,631) = 0.1305423654035421392 C1(467,631) = 0.8320252608492719990 C2(467,631) = 1.903954950609610680 C3(467,631) = 4.530522428017132025 C4(467,631) = 5048 Sum = 4055.925082061171180 Averaged sum = 0.4052278031832521910 logp*logq = 39.62726465607726436 -------------- ************************************* p = 467; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 178596781816726190.7 -------------- Searches starting with [467,641]-exponents: u = 1, v = 19 n_start has 56 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(467,641) = 0.6893536863122071207 D2(467,641) = 0.1212925689094251165 C1(467,641) = 0.9600085583451101825 C2(467,641) = 1.917261247106758232 C3(467,641) = 5.715812027847376856 C4(467,641) = 5128 Sum = 4161.954253856224001 Averaged sum = 0.4158211863179362574 logp*logq = 39.72390704424743842 -------------- ************************************* p = 467; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 182049405311150244.4 -------------- Searches starting with [467,643]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(467,643) = 0.5463215038106162209 D2(467,643) = 0.1522300107947625662 C1(467,643) = 0.7612781483866587214 C2(467,643) = 1.485325266082629177 C3(467,643) = 3.984336339583113927 C4(467,643) = 5144 Sum = 4142.727748725850098 Averaged sum = 0.4139002646344140372 logp*logq = 39.74305450290306388 -------------- ************************************* p = 467; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189122508982293198.2 -------------- Searches starting with [467,647]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(467,647) = 0.6823080697793424570 D2(467,647) = 0.03976788138465017615 C1(467,647) = 0.9333931014738054162 C2(467,647) = 1.859006118908702767 C3(467,647) = 5.446137070176192642 C4(467,647) = 5176 Sum = 4147.816645176932749 Averaged sum = 0.4144086966906716704 logp*logq = 39.78117139565575839 -------------- ************************************* p = 467; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 200162742987420090.0 -------------- Searches starting with [467,653]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(467,653) = 1.351817534723538093 D2(467,653) = 0.1218722462809978348 C1(467,653) = 1.956358781115728314 C2(467,653) = 1.942522190024624789 C3(467,653) = 34.89920127547770615 C4(467,653) = 5224 Sum = 6027.737812003418988 Averaged sum = 0.6022317726049974011 logp*logq = 39.83790714550930899 -------------- ************************************* p = 467; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 211737556900152141.1 -------------- Searches starting with [467,659]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(467,659) = 0.6124318479247517664 D2(467,659) = 0.02535340315547089561 C1(467,659) = 0.9901226278955185448 C2(467,659) = 1.871193133568807081 C3(467,659) = 6.037072198529032831 C4(467,659) = 5272 Sum = 4131.355743729037789 Averaged sum = 0.4127640866948783884 logp*logq = 39.89412396355283658 -------------- ************************************* p = 467; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 215718177734666847.3 -------------- Searches starting with [467,661]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(467,661) = 0.6260599029605640211 D2(467,661) = 0.04817727179966208169 C1(467,661) = 0.9084836577945027871 C2(467,661) = 1.894484058855535831 C3(467,661) = 5.205285877426330480 C4(467,661) = 5288 Sum = 3739.093840567206296 Averaged sum = 0.3735731682053358273 logp*logq = 39.91274921798016644 -------------- ************************************* p = 467; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 240941566918581067.8 -------------- Searches starting with [467,673]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(467,673) = 0.5713569346640978308 D2(467,673) = 0.01242521838577537826 C1(467,673) = 0.9303077733335133402 C2(467,673) = 1.887551514181575483 C3(467,673) = 5.415710352756637407 C4(467,673) = 5384 Sum = 4156.550365813566610 Averaged sum = 0.4152812834262730153 logp*logq = 40.02333083808418887 -------------- ************************************* p = 467; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 249879110187086809.3 -------------- Searches starting with [467,677]-exponents: u = 1, v = 16 n_start has 48 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(467,677) = 0.6304523307583001858 D2(467,677) = 0.05442520012623067070 C1(467,677) = 0.8565834022018585015 C2(467,677) = 1.930472438392998104 C3(467,677) = 4.737129131437199589 C4(467,677) = 5416 Sum = 3807.743161825135967 Averaged sum = 0.3804319274478105672 logp*logq = 40.05975363656880018 -------------- ************************************* p = 467; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 263804925247826351.4 -------------- Searches starting with [467,683]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(467,683) = 0.9702327201313273934 D2(467,683) = 0.1199097411577503803 C1(467,683) = 1.350363494242411366 C2(467,683) = 1.458259353656663892 C3(467,683) = 11.61229383225540454 C4(467,683) = 5464 Sum = 4707.489316637871058 Averaged sum = 0.4703256385890569545 logp*logq = 40.11398630540560830 -------------- ************************************* p = 467; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 283378566527774870.9 -------------- Searches starting with [467,691]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(467,691) = 0.6498615416441302595 D2(467,691) = 0.01447974800055145458 C1(467,691) = 0.9515156481400612379 C2(467,691) = 1.922413026789430966 C3(467,691) = 5.628339610837199061 C4(467,691) = 5528 Sum = 3624.220453511188901 Averaged sum = 0.3620961588081915177 logp*logq = 40.18556008955339761 -------------- ************************************* p = 467; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 309542234203277384.4 -------------- Searches starting with [467,701]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(467,701) = 0.6317342591225121712 D2(467,701) = 0.1037635007423261356 C1(467,701) = 1.045558223759360506 C2(467,701) = 1.399958489065286390 C3(467,701) = 6.676421663780507017 C4(467,701) = 5608 Sum = 4096.369249585225707 Averaged sum = 0.4092685832336123196 logp*logq = 40.27387093718690695 -------------- ************************************* p = 467; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 331902373823498465.2 -------------- Searches starting with [467,709]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(467,709) = 0.6059488381372664066 D2(467,709) = 0.1269313269667549626 C1(467,709) = 0.8400359475112283150 C2(467,709) = 1.795807656590768071 C3(467,709) = 4.596906167007010363 C4(467,709) = 5672 Sum = 4157.907514974509542 Averaged sum = 0.4154168763087730584 logp*logq = 40.34361726583610032 -------------- ************************************* p = 467; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 361739855018424986.9 -------------- Searches starting with [467,719]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(467,719) = 0.7450620549702303438 D2(467,719) = 0.07703139271064594582 C1(467,719) = 1.074170835382718966 C2(467,719) = 2.023079144233174208 C3(467,719) = 7.032473687556276674 C4(467,719) = 5752 Sum = 3761.695214491615129 Averaged sum = 0.3758312733031886431 logp*logq = 40.42970171585052589 -------------- ************************************* p = 467; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 387197612989220741.1 -------------- Searches starting with [467,727]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(467,727) = 0.7245036124824568494 D2(467,727) = 0.1093386163388664144 C1(467,727) = 0.9931105057864582085 C2(467,727) = 1.403499797020201619 C3(467,727) = 6.069915670818532382 C4(467,727) = 5816 Sum = 4216.140319029350868 Averaged sum = 0.4212349204745080296 logp*logq = 40.49771158549353848 -------------- ************************************* p = 467; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 407260589540833265.1 -------------- Searches starting with [467,733]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(467,733) = 0.5518250944599992114 D2(467,733) = 0.1102028754056150582 C1(467,733) = 0.8166200632970233969 C2(467,733) = 1.809081494433199939 C3(467,733) = 4.405543584946906720 C4(467,733) = 5864 Sum = 4006.595231002274723 Averaged sum = 0.4002992537718328228 logp*logq = 40.54822964461053919 -------------- ************************************* p = 467; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 428186767144733410.7 -------------- Searches starting with [467,739]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(467,739) = 0.6467578797005494511 D2(467,739) = 0.02561739545597186280 C1(467,739) = 0.9213686441522359829 C2(467,739) = 2.011709094607002676 C3(467,739) = 5.328511290302747171 C4(467,739) = 5912 Sum = 4190.627817540965979 Averaged sum = 0.4186859643861490637 logp*logq = 40.59833586714347177 -------------- ************************************* p = 467; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 442631731431132707.0 -------------- Searches starting with [467,743]-exponents: u = 1, v = 13 n_start has 40 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(467,743) = 0.6198872797788526556 D2(467,743) = 0.05821308880557249154 C1(467,743) = 0.8982971646702152204 C2(467,743) = 2.045168075369731817 C3(467,743) = 5.109887709657412430 C4(467,743) = 5944 Sum = 3511.245811338674230 Averaged sum = 0.3508088531660180068 logp*logq = 40.63151451320482028 -------------- ************************************* p = 467; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 472748194988560065.5 -------------- Searches starting with [467,751]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(467,751) = 1.065479465021917497 D2(467,751) = 0.07942083457109741318 C1(467,751) = 1.423292468128214867 C2(467,751) = 1.275395283997464116 C3(467,751) = 13.25656358196934948 C4(467,751) = 6008 Sum = 4035.035704863468766 Averaged sum = 0.4031407438169116561 logp*logq = 40.69733928433209548 -------------- ************************************* p = 467; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 496445112934198243.1 -------------- Searches starting with [467,757]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(467,757) = 0.5260113178443658638 D2(467,757) = 0.09473461149075834609 C1(467,757) = 0.7352794143594849412 C2(467,757) = 1.826349938373786337 C3(467,757) = 3.800607136220040194 C4(467,757) = 6056 Sum = 4125.467892401935509 Averaged sum = 0.4121758309923004805 logp*logq = 40.74624932431766049 -------------- ************************************* p = 467; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 512789139428517601.9 -------------- Searches starting with [467,761]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(467,761) = 0.5702372598502260924 D2(467,761) = 0.09200386359154617010 C1(467,761) = 0.8156374988744913985 C2(467,761) = 1.824536421999822560 C3(467,761) = 4.397690246101566097 C4(467,761) = 6088 Sum = 3856.823723193243334 Averaged sum = 0.3853355703060488894 logp*logq = 40.77864112133131903 -------------- ************************************* p = 467; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 546831467049136422.6 -------------- Searches starting with [467,769]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(467,769) = 0.7591908888454262111 D2(467,769) = 0.01573556478656211909 C1(467,769) = 1.132903452551042911 C2(467,769) = 2.048585666620867426 C3(467,769) = 7.823941364770966635 C4(467,769) = 6152 Sum = 3410.933273966385124 Averaged sum = 0.3407866194391432834 logp*logq = 40.84291704574391787 -------------- ************************************* p = 467; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 564549627091212409.9 -------------- Searches starting with [467,773]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(467,773) = 0.7782960550690945905 D2(467,773) = 0.04414502992991782702 C1(467,773) = 1.115620464190962015 C2(467,773) = 2.077834159925178064 C3(467,773) = 7.582212449857604426 C4(467,773) = 6184 Sum = 3762.851470962508026 Averaged sum = 0.3759467949807681112 logp*logq = 40.87480468799534990 -------------- ************************************* p = 467; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 630397129548063726.2 -------------- Searches starting with [467,787]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(467,787) = 0.8291827158073118623 D2(467,787) = 0.07644611015013728485 C1(467,787) = 1.146505612881361368 C2(467,787) = 1.845522069002367513 C3(467,787) = 8.019595544518451372 C4(467,787) = 6296 Sum = 4178.730524925489790 Averaged sum = 0.4174973049181226686 logp*logq = 40.98512638006210935 -------------- ************************************* p = 467; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 681268283356458271.6 -------------- Searches starting with [467,797]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(467,797) = 1.301370310483506288 D2(467,797) = 0.06469276085653087217 C1(467,797) = 2.035508549793272318 C2(467,797) = 1.696801078893369788 C3(467,797) = 40.29343082433469456 C4(467,797) = 6376 Sum = 4252.237769195263363 Averaged sum = 0.4248414196418486725 logp*logq = 41.06273257848244180 -------------- ************************************* p = 467; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 746808200510999297.5 -------------- Searches starting with [467,809]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(467,809) = 0.5484776266012891922 D2(467,809) = 0.02017747327298918356 C1(467,809) = 0.7518248239228214401 C2(467,809) = 2.107500013091992381 C3(467,809) = 3.916525434206674340 C4(467,809) = 6472 Sum = 3849.218539505643003 Averaged sum = 0.3845757357883547810 logp*logq = 41.15458478738432575 -------------- ************************************* p = 467; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 758228295585690466.1 -------------- Searches starting with [467,811]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(467,811) = 0.5936395491837392071 D2(467,811) = 0.03261026998110103422 C1(467,811) = 1.027621608723595060 C2(467,811) = 2.120337040105726067 C3(467,811) = 6.462471774377421155 C4(467,811) = 6488 Sum = 3709.773926645125466 Averaged sum = 0.3706438132326032037 logp*logq = 41.16976091671847519 -------------- ************************************* p = 467; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 817546782129077398.7 -------------- Searches starting with [467,821]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(467,821) = 0.6479426705420571652 D2(467,821) = 0.05709577190098374331 C1(467,821) = 1.121429254339045850 C2(467,821) = 1.868688629698603027 C3(467,821) = 7.662612306783736616 C4(467,821) = 6568 Sum = 3889.594516401733830 Averaged sum = 0.3886097029075565820 logp*logq = 41.24508452189072370 -------------- ************************************* p = 467; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 829864725979817452.1 -------------- Searches starting with [467,823]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(467,823) = 0.7061797755625758227 D2(467,823) = 0.05593268228557671054 C1(467,823) = 0.9607627192717302474 C2(467,823) = 1.867963113031111293 C3(467,823) = 5.723644891121096873 C4(467,823) = 6584 Sum = 4127.695771121353211 Averaged sum = 0.4123984185354534131 logp*logq = 41.26003910167131575 -------------- ************************************* p = 467; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 854967237439966941.5 -------------- Searches starting with [467,827]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(467,827) = 0.7814255267538509718 D2(467,827) = 0.05362620391069859345 C1(467,827) = 1.149975196051255923 C2(467,827) = 1.866528540079798403 C3(467,827) = 8.070280578885492541 C4(467,827) = 6616 Sum = 3518.284603885724980 Averaged sum = 0.3515120994990233770 logp*logq = 41.28983954432959774 -------------- ************************************* p = 467; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 867754952985091837.1 -------------- Searches starting with [467,829]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(467,829) = 0.6486175645142569833 D2(467,829) = 0.05248266935494810741 C1(467,829) = 0.9158902007302371455 C2(467,829) = 1.865819348548178205 C3(467,829) = 5.275765738149147747 C4(467,829) = 6632 Sum = 4043.025141275147288 Averaged sum = 0.4039389690553649004 logp*logq = 41.30468575748427949 -------------- ************************************* p = 467; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 934122175948271167.9 -------------- Searches starting with [467,839]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(467,839) = 0.9124751941323798580 D2(467,839) = 0.04309822853856926340 C1(467,839) = 1.440915867731573253 C2(467,839) = 1.712876093914361295 C3(467,839) = 13.68765502252658501 C4(467,839) = 6712 Sum = 3191.208106280933688 Averaged sum = 0.3188338601539548094 logp*logq = 41.37838363395118608 -------------- ************************************* p = 467; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.034136300255215196 E18 -------------- Searches starting with [467,853]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(467,853) = 0.8324486420719391907 D2(467,853) = 0.03282840744727899201 C1(467,853) = 1.207972217844868907 C2(467,853) = 1.554235881089235080 C3(467,853) = 8.966562975955119155 C4(467,853) = 6824 Sum = 4656.774305310765236 Averaged sum = 0.4652586977031436942 logp*logq = 41.48009825972041545 -------------- ************************************* p = 467; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.064304351900084454 E18 -------------- Searches starting with [467,857]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(467,857) = 0.8347678079178381687 D2(467,857) = 0.005285635798595585900 C1(467,857) = 1.172468882846297095 C2(467,857) = 2.155829906839725940 C3(467,857) = 8.406737975423029377 C4(467,857) = 6856 Sum = 3894.694204904473141 Averaged sum = 0.3891192131985686023 logp*logq = 41.50885306892807480 -------------- ************************************* p = 467; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.079662518409805058 E18 -------------- Searches starting with [467,859]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(467,859) = 0.6958799429591224992 D2(467,859) = 0.01572508022608081253 C1(467,859) = 1.223018127801833250 C2(467,859) = 2.166656157565018365 C3(467,859) = 9.214917379435199346 C4(467,859) = 6872 Sum = 4171.745040461125232 Averaged sum = 0.4167993845999725479 logp*logq = 41.52318018324209495 -------------- ************************************* p = 467; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.110936036272338474 E18 -------------- Searches starting with [467,863]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(467,863) = 1.235227033322571120 D2(467,863) = 0.01908952954764403198 C1(467,863) = 2.170659454479830093 C2(467,863) = 1.042335742802250277 C3(467,863) = 51.50108624475086342 C4(467,863) = 6904 Sum = 823.6645033867769892 Averaged sum = 0.08229238719020651305 logp*logq = 41.55173460978071342 -------------- ************************************* p = 467; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.226434915549112592 E18 -------------- Searches starting with [467,877]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(467,877) = 0.8565627062521561902 D2(467,877) = 0.02740010927961692112 C1(467,877) = 1.270102740264854588 C2(467,877) = 1.891501259916352342 C3(467,877) = 10.03744355468347670 C4(467,877) = 7016 Sum = 3489.063236519827943 Averaged sum = 0.3485925903206941695 logp*logq = 41.65064319201501176 -------------- ************************************* p = 467; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.261222148945879261 E18 -------------- Searches starting with [467,881]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(467,881) = 0.6494964387444435150 D2(467,881) = 0.02535480786833887211 C1(467,881) = 0.9898127674063290163 C2(467,881) = 1.890290303933582478 C3(467,881) = 6.033676324498902659 C4(467,881) = 7048 Sum = 3483.765833451873343 Averaged sum = 0.3480633263514710104 logp*logq = 41.67861288423033334 -------------- ************************************* p = 467; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.278923196137487268 E18 -------------- Searches starting with [467,883]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(467,883) = 0.6375929673155879345 D2(467,883) = 0.02433965354345067000 C1(467,883) = 0.9716566214483896791 C2(467,883) = 1.889690876082255793 C3(467,883) = 5.837995889274960308 C4(467,883) = 7064 Sum = 3692.972899054295771 Averaged sum = 0.3689652212063438676 logp*logq = 41.69255014475486149 -------------- ************************************* p = 467; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.314949862330541987 E18 -------------- Searches starting with [467,887]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(467,887) = 0.5988758640317855430 D2(467,887) = 0.02232409833223070334 C1(467,887) = 0.8233659040741846131 C2(467,887) = 1.888503903344317498 C3(467,887) = 4.459841032765272859 C4(467,887) = 7096 Sum = 4074.961258478961973 Averaged sum = 0.4071297091096974696 logp*logq = 41.72033021129038712 -------------- ************************************* p = 467; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.508093267492102799 E18 -------------- Searches starting with [467,907]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(467,907) = 0.6706181710295113728 D2(467,907) = 0.01087570493948591827 C1(467,907) = 0.9985441923981667505 C2(467,907) = 1.634270118450847623 C3(467,907) = 6.130102674913950125 C4(467,907) = 7256 Sum = 3865.344194530974234 Averaged sum = 0.3861868512869391781 logp*logq = 41.85737779003561310 -------------- ************************************* p = 467; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.549438664148295617 E18 -------------- Searches starting with [467,911]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(467,911) = 0.8843848243696863012 D2(467,911) = 0.008572930381338719185 C1(467,911) = 1.292824767076928285 C2(467,911) = 1.518284236437805940 C3(467,911) = 10.46025003848869368 C4(467,911) = 7288 Sum = 3552.265384447360860 Averaged sum = 0.3549071220349046718 logp*logq = 41.88442438706865639 -------------- ************************************* p = 467; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.634981441283898286 E18 -------------- Searches starting with [467,919]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(467,919) = 0.7035802456716730912 D2(467,919) = 0.004891134501631477489 C1(467,919) = 1.258645533652882862 C2(467,919) = 1.338683967478803544 C3(467,919) = 9.830775571800525164 C4(467,919) = 7352 Sum = 4149.497151186051982 Averaged sum = 0.4145765961820413610 logp*logq = 41.93816312728091882 -------------- ************************************* p = 467; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.747438178813622557 E18 -------------- Searches starting with [467,929]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(467,929) = 0.7548497198773288400 D2(467,929) = 0.002321788173831344522 C1(467,929) = 1.350136151914154570 C2(467,929) = 1.924903619676130308 C3(467,929) = 11.60750102620719569 C4(467,929) = 7432 Sum = 4185.011123051580334 Averaged sum = 0.4181247999851713791 logp*logq = 42.00468249146218412 -------------- ************************************* p = 467; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.842001559912945059 E18 -------------- Searches starting with [467,937]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(467,937) = 0.5995488539716428335 D2(467,937) = 0.04285905824419286860 C1(467,937) = 0.8665467222094641449 C2(467,937) = 1.566275988771068637 C3(467,937) = 4.823612981752383568 C4(467,937) = 7496 Sum = 4096.044844571192137 Averaged sum = 0.4092361719024070474 logp*logq = 42.05738445858385519 -------------- ************************************* p = 467; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.890866653007718888 E18 -------------- Searches starting with [467,941]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(467,941) = 0.5467656894378848972 D2(467,941) = 0.05838766944459477294 C1(467,941) = 0.7685151961743414386 C2(467,941) = 1.634553747791285953 C3(467,941) = 4.037041769188859281 C4(467,941) = 7528 Sum = 3950.893071247073866 Averaged sum = 0.3947340464828728011 logp*logq = 42.08356694442895556 -------------- ************************************* p = 467; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.966196673510557334 E18 -------------- Searches starting with [467,947]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(467,947) = 0.6333783108151300378 D2(467,947) = 0.08424475749580483996 C1(467,947) = 0.8711906897324992199 C2(467,947) = 1.731317296388748526 C3(467,947) = 4.864461399950180961 C4(467,947) = 7576 Sum = 4043.798521268853030 Averaged sum = 0.4040162375131234918 logp*logq = 42.12263272800531540 -------------- ************************************* p = 467; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.044023368035124038 E18 -------------- Searches starting with [467,953]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(467,953) = 0.6383333734895227887 D2(467,953) = 0.1160907814812253767 C1(467,953) = 0.8784017281808691256 C2(467,953) = 1.866658914339571562 C3(467,953) = 4.928576484518151102 C4(467,953) = 7624 Sum = 4105.665695269237354 Averaged sum = 0.4101973918742369221 logp*logq = 42.16145177867143662 -------------- ************************************* p = 467; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.235702869749041492 E18 -------------- Searches starting with [467,967]-exponents: u = 19, v = 8 n_start has 75 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(467,967) = 1.088603255178244460 D2(467,967) = 0.1373624246337397602 C1(467,967) = 1.533550559806350205 C2(467,967) = 1.904289386472458723 C3(467,967) = 16.19504781987270071 C4(467,967) = 7736 Sum = 5123.414778135353838 Averaged sum = 0.5118807851069391385 logp*logq = 42.25108733562809729 -------------- ************************************* p = 467; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.293152576913552725 E18 -------------- Searches starting with [467,971]-exponents: u = 19, v = 8 n_start has 75 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(467,971) = 0.7760678967770240154 D2(467,971) = 0.1160940860486836885 C1(467,971) = 1.142086798805470633 C2(467,971) = 1.883772180811338420 C3(467,971) = 7.955504380257415774 C4(467,971) = 7768 Sum = 4129.334088992429694 Averaged sum = 0.4125621030065370860 logp*logq = 42.27645921585734719 -------------- ************************************* p = 467; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.381641747121006814 E18 -------------- Searches starting with [467,977]-exponents: u = 28, v = 8 n_start has 99 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(467,977) = 0.8150169987061030055 D2(467,977) = 0.08685642790565658556 C1(467,977) = 1.259153220282804751 C2(467,977) = 1.855655361294765358 C3(467,977) = 9.839842598252211322 C4(467,977) = 7816 Sum = 2932.793094892773507 Averaged sum = 0.2930155954533693183 logp*logq = 42.31432173348154899 -------------- ************************************* p = 467; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.472972242928199176 E18 -------------- Searches starting with [467,983]-exponents: u = 28, v = 8 n_start has 99 digits starting right neighbors generation We generated 501 left neighbors We generated 9509 right neighbors We generated 10009 non-negative rho_i D1(467,983) = 0.6844428681611891352 D2(467,983) = 0.06019971087239852418 C1(467,983) = 1.028644954410086950 C2(467,983) = 1.830112527070167366 C3(467,983) = 6.474491810503293621 C4(467,983) = 7864 Sum = 3800.711111561100664 Averaged sum = 0.3797293547368469042 logp*logq = 42.35195243832066784 -------------- ************************************* p = 467; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.599292541985159407 E18 -------------- Searches starting with [467,991]-exponents: u = 46, v = 8 n_start has 147 digits starting right neighbors generation We generated 1255 left neighbors We generated 8755 right neighbors We generated 10009 non-negative rho_i D1(467,991) = 0.7720088995911427403 D2(467,991) = 0.02781586646512581640 C1(467,991) = 1.121834498397933795 C2(467,991) = 1.799203186738603864 C3(467,991) = 7.668253026035077969 C4(467,991) = 7928 Sum = 4490.875600683886499 Averaged sum = 0.4486837446981603056 logp*logq = 42.40177098265806768 -------------- ************************************* p = 467; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.697539336001448860 E18 -------------- Searches starting with [467,997]-exponents: u = 82, v = 8 n_start has 243 digits starting right neighbors generation We generated 3627 left neighbors We generated 6383 right neighbors We generated 10009 non-negative rho_i D1(467,997) = 0.5458367596352298387 D2(467,997) = 0.005436401307985132548 C1(467,997) = 0.7655670936508899316 C2(467,997) = 1.777921703078523471 C3(467,997) = 4.015487909152496854 C4(467,997) = 7976 Sum = 4190.087868692163085 Averaged sum = 0.4186320180529686367 logp*logq = 42.43887167432829293 -------------- ************************************* p = 479; q = 487; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 38603270098287434.15 -------------- Searches starting with [479,487]-exponents: u = 1, v = 372 n_start has 1003 digits --- performed 5000 steps in the continued fraction search [479,487]-exponents: u = 242, v = 118 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(479,487) = 0.5933245047750224094 D2(479,487) = 0.07704997981217339841 C1(479,487) = 0.7756806511647562587 C2(479,487) = 1.155105135011902858 C3(479,487) = 4.103002184722763504 C4(479,487) = 3896 Sum = 5301.012276455830494 Averaged sum = 0.5301542430698900383 logp*logq = 38.19211338536535290 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(479,487) = 0.5933245047750224094 D2(479,487) = 0.07704997981217339841 C1(479,487) = 0.7756806511647562587 C2(479,487) = 1.155105135011902858 C3(479,487) = 4.103002184722763504 C4(479,487) = 3896 Sum = 5301.012276455830494 Averaged sum = 0.5301542430698900383 logp*logq = 38.19211338536535290 -------------- ************************************* p = 479; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 40602170688891914.88 -------------- Searches starting with [479,491]-exponents: u = 1, v = 249 n_start has 673 digits --- performed 5000 steps in the continued fraction search [479,491]-exponents: u = 210, v = 20 --- starting right neighbors generation We generated 6872 left neighbors We generated 3138 right neighbors We generated 10009 non-negative rho_i D1(479,491) = 0.6191235853128776507 D2(479,491) = 0.004045345792696613703 C1(479,491) = 0.8231982865460712894 C2(479,491) = 1.149234645808195211 C3(479,491) = 4.473628512006743714 C4(479,491) = 3928 Sum = 5038.353499680330706 Averaged sum = 0.5033823058927296139 logp*logq = 38.24259792533280025 -------------- ************************************* p = 479; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44860979242831865.26 -------------- Searches starting with [479,499]-exponents: u = 1, v = 150 n_start has 408 digits starting right neighbors generation We generated 2582 left neighbors We generated 7428 right neighbors We generated 10009 non-negative rho_i D1(479,499) = 0.7729399061027443240 D2(479,499) = 0.0008289919550311245205 C1(479,499) = 1.052948726809795077 C2(479,499) = 1.233953529937876371 C3(479,499) = 6.796037706004371052 C4(479,499) = 3992 Sum = 4888.291034826300270 Averaged sum = 0.4883895528850334968 logp*logq = 38.34234475262834140 -------------- ************************************* p = 479; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 47126886374886636.68 -------------- Searches starting with [479,503]-exponents: u = 1, v = 126 n_start has 344 digits starting right neighbors generation We generated 1814 left neighbors We generated 8196 right neighbors We generated 10009 non-negative rho_i D1(479,503) = 0.6677064014568780131 D2(479,503) = 0.01436282134386476342 C1(479,503) = 0.9185663019200189604 C2(479,503) = 1.280527866944446301 C3(479,503) = 5.321563631106337901 C4(479,503) = 4024 Sum = 4393.167973691890267 Averaged sum = 0.4389217677781886569 logp*logq = 38.39162006905302728 -------------- ************************************* p = 479; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 50705112925367644.87 -------------- Searches starting with [479,509]-exponents: u = 1, v = 101 n_start has 277 digits starting right neighbors generation We generated 1169 left neighbors We generated 8841 right neighbors We generated 10009 non-negative rho_i D1(479,509) = 0.5724994851992471732 D2(479,509) = 0.01600752864889066095 C1(479,509) = 0.7973097002474071226 C2(479,509) = 1.326901124319807125 C3(479,509) = 4.267735087594229153 C4(479,509) = 4072 Sum = 4610.328402160786707 Averaged sum = 0.4606182837606940460 logp*logq = 38.46480314707733493 -------------- ************************************* p = 479; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 58547586910787255.79 -------------- Searches starting with [479,521]-exponents: u = 1, v = 73 n_start has 202 digits starting right neighbors generation We generated 638 left neighbors We generated 9372 right neighbors We generated 10009 non-negative rho_i D1(479,521) = 0.6489002697604700487 D2(479,521) = 0.02365728067382936075 C1(479,521) = 0.8849103750183921235 C2(479,521) = 1.407515157627954205 C3(479,521) = 5.005384583272847209 C4(479,521) = 4168 Sum = 4025.555250606996140 Averaged sum = 0.4021935508649211849 logp*logq = 38.60861626994261253 -------------- ************************************* p = 479; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59948524344569434.21 -------------- Searches starting with [479,523]-exponents: u = 1, v = 70 n_start has 193 digits starting right neighbors generation We generated 611 left neighbors We generated 9399 right neighbors We generated 10009 non-negative rho_i D1(479,523) = 0.6411709175381192115 D2(479,523) = 0.01998363640855657158 C1(479,523) = 0.9149252750473583100 C2(479,523) = 1.415111115693477816 C3(479,523) = 5.286416467702433704 C4(479,523) = 4184 Sum = 3622.237393990604222 Averaged sum = 0.3618980311710065163 logp*logq = 38.63226266131177610 -------------- ************************************* p = 479; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 73871206791756571.55 -------------- Searches starting with [479,541]-exponents: u = 1, v = 50 n_start has 140 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(479,541) = 0.6223823100905830417 D2(479,541) = 0.04543798237094880440 C1(479,541) = 0.8469763338635803885 C2(479,541) = 1.522616045754183961 C3(479,541) = 4.671476856030863836 C4(479,541) = 4328 Sum = 4228.930432733015603 Averaged sum = 0.4225127817697088223 logp*logq = 38.84109952301420134 -------------- ************************************* p = 479; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79074784612002677.27 -------------- Searches starting with [479,547]-exponents: u = 1, v = 46 n_start has 129 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(479,547) = 0.9611898648934215991 D2(479,547) = 0.03659180294673681718 C1(479,547) = 1.345333093153996715 C2(479,547) = 1.539370582241884115 C3(479,547) = 11.57065117136264085 C4(479,547) = 4376 Sum = 4806.699118510595915 Averaged sum = 0.4802376979229289554 logp*logq = 38.90917044025427052 -------------- ************************************* p = 479; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 88429292114526526.08 -------------- Searches starting with [479,557]-exponents: u = 1, v = 40 n_start has 113 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(479,557) = 0.7700838993725365329 D2(479,557) = 0.04011405216708588677 C1(479,557) = 1.145058989187093335 C2(479,557) = 1.580341487243637449 C3(479,557) = 8.036374701500859876 C4(479,557) = 4456 Sum = 4579.804769521204640 Averaged sum = 0.4575686651534823299 logp*logq = 39.02097966842870542 -------------- ************************************* p = 479; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 94474435080289201.69 -------------- Searches starting with [479,563]-exponents: u = 1, v = 38 n_start has 108 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(479,563) = 0.8139414509302464567 D2(479,563) = 0.005677362554656422053 C1(479,563) = 1.094600875472115505 C2(479,563) = 1.571656750865592168 C3(479,563) = 7.331246802758474272 C4(479,563) = 4504 Sum = 3517.435453192369412 Averaged sum = 0.3514272607845308634 logp*logq = 39.08710566456010622 -------------- ************************************* p = 479; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100862103320225500.8 -------------- Searches starting with [479,569]-exponents: u = 1, v = 35 n_start has 100 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(479,569) = 0.6641496322431580862 D2(479,569) = 0.01193393144115420552 C1(479,569) = 0.9988942521172015344 C2(479,569) = 1.597283607874187335 C3(479,569) = 6.159292953255310933 C4(479,569) = 4552 Sum = 4082.928970529903974 Averaged sum = 0.4079257638655114371 logp*logq = 39.15253066520089284 -------------- ************************************* p = 479; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103070104438225605.4 -------------- Searches starting with [479,571]-exponents: u = 1, v = 35 n_start has 100 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(479,571) = 0.6992869547095661485 D2(479,571) = 0.05853771169818241806 C1(479,571) = 1.054446372312398069 C2(479,571) = 1.644382735598343045 C3(479,571) = 6.814586774238071323 C4(479,571) = 4568 Sum = 2976.446907153854334 Averaged sum = 0.2973770513691531955 logp*logq = 39.17418577723359535 -------------- ************************************* p = 479; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 109938654024825422.3 -------------- Searches starting with [479,577]-exponents: u = 1, v = 33 n_start has 94 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(479,577) = 0.6593532420242333591 D2(479,577) = 0.04264042442137083384 C1(479,577) = 0.9996624940736480416 C2(479,577) = 1.649470797225240956 C3(479,577) = 6.167910781097276435 C4(479,577) = 4616 Sum = 3418.946266714675006 Averaged sum = 0.3415871981930937162 logp*logq = 39.23869891445240542 -------------- ************************************* p = 479; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122237771427862886.6 -------------- Searches starting with [479,587]-exponents: u = 1, v = 30 n_start has 86 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(479,587) = 0.6864336749370796018 D2(479,587) = 0.004375887433891933418 C1(479,587) = 0.9614098239158857608 C2(479,587) = 1.646585893264753593 C3(479,587) = 5.753114095516864455 C4(479,587) = 4696 Sum = 4317.736948141436675 Averaged sum = 0.4313854479110237461 logp*logq = 39.34474448904247511 -------------- ************************************* p = 479; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130155734604031298.3 -------------- Searches starting with [479,593]-exponents: u = 1, v = 28 n_start has 81 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(479,593) = 0.7510570458638160833 D2(479,593) = 0.02938257245308963239 C1(479,593) = 1.152946280942330875 C2(479,593) = 1.685193606063025332 C3(479,593) = 8.152566152195398281 C4(479,593) = 4744 Sum = 4072.997578089061382 Averaged sum = 0.4069335176430274135 logp*logq = 39.40750808687909204 -------------- ************************************* p = 479; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138499045066584349.0 -------------- Searches starting with [479,599]-exponents: u = 1, v = 27 n_start has 78 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(479,599) = 0.7292325262346834848 D2(479,599) = 0.04624761847570238310 C1(479,599) = 0.9966571168138427267 C2(479,599) = 1.716326396344961626 C3(479,599) = 6.134266196323815690 C4(479,599) = 4792 Sum = 4214.306529844199588 Averaged sum = 0.4210517064486162042 logp*logq = 39.46963982568820325 -------------- ************************************* p = 479; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 141377806422606756.3 -------------- Searches starting with [479,601]-exponents: u = 1, v = 27 n_start has 78 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(479,601) = 1.040516717433461972 D2(479,601) = 0.08560172751381331397 C1(479,601) = 1.423181109899768889 C2(479,601) = 1.756165846746232855 C3(479,601) = 13.33181414776417037 C4(479,601) = 4808 Sum = 4231.718996676657445 Averaged sum = 0.4227913874189886547 logp*logq = 39.49021218006139668 -------------- ************************************* p = 479; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150316725809171104.6 -------------- Searches starting with [479,607]-exponents: u = 1, v = 26 n_start has 76 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(479,607) = 0.8307145242856048922 D2(479,607) = 0.09214097698443700250 C1(479,607) = 1.289450272674615381 C2(479,607) = 1.777705654825950063 C3(479,607) = 10.45171956608973025 C4(479,607) = 4856 Sum = 2067.922217919161396 Averaged sum = 0.2066062761433870912 logp*logq = 39.55152096830695580 -------------- ************************************* p = 479; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 159724477399773124.1 -------------- Searches starting with [479,613]-exponents: u = 1, v = 25 n_start has 73 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(479,613) = 1.039281274605584881 D2(479,613) = 0.08744754038831581936 C1(479,613) = 1.619829990651915049 C2(479,613) = 1.788826719303491287 C3(479,613) = 19.06871727679547559 C4(479,613) = 4904 Sum = 2061.035554772701550 Averaged sum = 0.2059182290711061595 logp*logq = 39.61222670951878659 -------------- ************************************* p = 479; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166266446043467727.1 -------------- Searches starting with [479,617]-exponents: u = 1, v = 24 n_start has 70 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(479,617) = 0.5479346741446900582 D2(479,617) = 0.03866797283455807117 C1(479,617) = 0.7782059958145330410 C2(479,617) = 1.756287630411019161 C3(479,617) = 4.121903241861537684 C4(479,617) = 4936 Sum = 4192.171951664262479 Averaged sum = 0.4188402389513700149 logp*logq = 39.65236799312376581 -------------- ************************************* p = 479; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169620698124032566.4 -------------- Searches starting with [479,619]-exponents: u = 1, v = 24 n_start has 70 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(479,619) = 0.7956405872252643671 D2(479,619) = 0.07194736585970498267 C1(479,619) = 1.245517516432537432 C2(479,619) = 1.790045905359098298 C3(479,619) = 9.648572953390313615 C4(479,619) = 4952 Sum = 2490.608865943400267 Averaged sum = 0.2488369333543211377 logp*logq = 39.67234115164777595 -------------- ************************************* p = 479; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 190960203677135931.2 -------------- Searches starting with [479,631]-exponents: u = 1, v = 22 n_start has 65 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(479,631) = 0.7101821466885497508 D2(479,631) = 0.01404880740422896360 C1(479,631) = 0.9815946067753755366 C2(479,631) = 1.768742152686154364 C3(479,631) = 5.968389219885440501 C4(479,631) = 5048 Sum = 4212.406275647826432 Averaged sum = 0.4208618518980743763 logp*logq = 39.79084144353650138 -------------- ************************************* p = 479; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 210420175084413804.6 -------------- Searches starting with [479,641]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(479,641) = 0.5896536400083015429 D2(479,641) = 0.02427969088069043712 C1(479,641) = 0.9368802332981941375 C2(479,641) = 1.800062881880291865 C3(479,641) = 5.501925173254232738 C4(479,641) = 5128 Sum = 3902.316049353957585 Averaged sum = 0.3898807122943308607 logp*logq = 39.88788276036164234 -------------- ************************************* p = 479; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 214504960207687532.4 -------------- Searches starting with [479,643]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(479,643) = 0.9058586202778917605 D2(479,643) = 0.05133659299435350849 C1(479,643) = 1.439218981740533737 C2(479,643) = 1.827589439608884225 C3(479,643) = 13.72668483615614198 C4(479,643) = 5144 Sum = 4081.330829988039130 Averaged sum = 0.4077660935146407363 logp*logq = 39.90710925752275332 -------------- ************************************* p = 479; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 222874113255139911.4 -------------- Searches starting with [479,647]-exponents: u = 1, v = 20 n_start has 59 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(479,647) = 0.7293052320562313476 D2(479,647) = 0.1120678288441189490 C1(479,647) = 1.082208385116663023 C2(479,647) = 1.889255595124966886 C3(479,647) = 7.167748451661723868 C4(479,647) = 5176 Sum = 3890.451052623293363 Averaged sum = 0.3886952795107696436 logp*logq = 39.94538349242153153 -------------- ************************************* p = 479; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 235939884530023220.6 -------------- Searches starting with [479,653]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(479,653) = 0.7489519289859059131 D2(479,653) = 0.04399549356857692111 C1(479,653) = 1.196665284059818391 C2(479,653) = 1.842779893213200632 C3(479,653) = 8.827750366172997514 C4(479,653) = 5224 Sum = 3779.522812143321325 Averaged sum = 0.3776124300273075557 logp*logq = 40.00235344092027455 -------------- ************************************* p = 479; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 249641507965380350.7 -------------- Searches starting with [479,659]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(479,659) = 0.7479892624159842923 D2(479,659) = 0.1309284605764998418 C1(479,659) = 1.079143106146563794 C2(479,659) = 1.931101268741180533 C3(479,659) = 7.127872854170103591 C4(479,659) = 5272 Sum = 4403.530300733235564 Averaged sum = 0.4399570687114832215 logp*logq = 40.05880231551821109 -------------- ************************************* p = 479; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 254354269726017468.0 -------------- Searches starting with [479,661]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(479,661) = 0.7749030738370259338 D2(479,661) = 0.1432769133230874335 C1(479,661) = 1.068974251815307118 C2(479,661) = 1.412625576639022509 C3(479,661) = 6.997170112629308020 C4(479,661) = 5288 Sum = 4048.656356597110226 Averaged sum = 0.4045015842339005122 logp*logq = 40.07750445285207703 -------------- ************************************* p = 479; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 284224990970242443.0 -------------- Searches starting with [479,673]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(479,673) = 0.6197396305219821633 D2(479,673) = 0.1348556361659378903 C1(479,673) = 1.002860696056903661 C2(479,673) = 1.416683000978587868 C3(479,673) = 6.203916692318034600 C4(479,673) = 5384 Sum = 4072.924319238688005 Averaged sum = 0.4069261983453579783 logp*logq = 40.18854254115610375 -------------- ************************************* p = 479; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294812421227726754.5 -------------- Searches starting with [479,677]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(479,677) = 0.6832734725036232577 D2(479,677) = 0.02526269144490077722 C1(479,677) = 0.9463245632401016778 C2(479,677) = 1.875255581523718480 C3(479,677) = 5.597312105955283676 C4(479,677) = 5416 Sum = 4062.291321387067560 Averaged sum = 0.4058638546695042022 logp*logq = 40.22511568876064793 -------------- ************************************* p = 479; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 311312063561389080.1 -------------- Searches starting with [479,683]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(479,683) = 0.7493096960405547609 D2(479,683) = 0.09584431955741724156 C1(479,683) = 1.050899312371085143 C2(479,683) = 1.947196965808330879 C3(479,683) = 6.770736502815851885 C4(479,683) = 5464 Sum = 4349.139031721363474 Averaged sum = 0.4345228326227758491 logp*logq = 40.27957222381231237 -------------- ************************************* p = 479; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 334509426952980456.7 -------------- Searches starting with [479,691]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(479,691) = 0.6022127945046611240 D2(479,691) = 0.007937976225981927900 C1(479,691) = 0.8367642770948867150 C2(479,691) = 1.887165994663514285 C3(479,691) = 4.585456125231468590 C4(479,691) = 5528 Sum = 3990.986183476552081 Averaged sum = 0.3987397525703419004 logp*logq = 40.35144145630302435 -------------- ************************************* p = 479; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365527108989174251.1 -------------- Searches starting with [479,701]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(479,701) = 0.6897384308257706279 D2(479,701) = 0.1174473726206445629 C1(479,701) = 0.9715559861002896795 C2(479,701) = 1.998907970474763159 C3(479,701) = 5.860336620486647105 C4(479,701) = 5608 Sum = 4338.181399893567036 Averaged sum = 0.4334280547400906220 logp*logq = 40.44011684095111354 -------------- ************************************* p = 479; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 392044235664442428.6 -------------- Searches starting with [479,709]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(479,709) = 0.6566383749988723835 D2(479,709) = 0.005169116348348789704 C1(479,709) = 0.9408601139388714162 C2(479,709) = 1.917134166905661980 C3(479,709) = 5.541921841870994892 C4(479,709) = 5672 Sum = 4259.479753545020059 Averaged sum = 0.4255649668843061304 logp*logq = 40.51015107441726886 -------------- ************************************* p = 479; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 427440234482088921.9 -------------- Searches starting with [479,719]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(479,719) = 0.7449192596700187021 D2(479,719) = 0.1039527526426486642 C1(479,719) = 1.053429826628356471 C2(479,719) = 2.018113464093524606 C3(479,719) = 6.801990850217997284 C4(479,719) = 5752 Sum = 3916.062153464479193 Averaged sum = 0.3912540866684463176 logp*logq = 40.59659087113315785 -------------- ************************************* p = 479; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 457650175256526810.5 -------------- Searches starting with [479,727]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(479,727) = 0.6646626461048007172 D2(479,727) = 0.1270039047102033412 C1(479,727) = 0.9415097574597450200 C2(479,727) = 1.799438452566693886 C3(479,727) = 5.548478122868095664 C4(479,727) = 5816 Sum = 4307.156210314251755 Averaged sum = 0.4303283255384405790 logp*logq = 40.66488147769021883 -------------- ************************************* p = 479; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 481464102331388526.1 -------------- Searches starting with [479,733]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(479,733) = 0.9900207949934257835 D2(479,733) = 0.02411393167729064570 C1(479,733) = 1.514725018860214509 C2(479,733) = 1.973213955592550576 C3(479,733) = 15.74874678615002120 C4(479,733) = 5864 Sum = 4017.115922056697841 Averaged sum = 0.4013503768664899431 logp*logq = 40.71560806954069872 -------------- ************************************* p = 479; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 506307772223638663.9 -------------- Searches starting with [479,739]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(479,739) = 0.5990173831413835951 D2(479,739) = 0.07775895747732927687 C1(479,739) = 0.8642155751985247694 C2(479,739) = 2.028149211855470302 C3(479,739) = 4.820367853279184169 C4(479,739) = 5912 Sum = 3563.278431095960234 Averaged sum = 0.3560074364168208846 logp*logq = 40.76592112479309324 -------------- ************************************* p = 479; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 523459850799056270.5 -------------- Searches starting with [479,743]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(479,743) = 0.9375917381889725830 D2(479,743) = 0.08035053768934218330 C1(479,743) = 1.245317325022024785 C2(479,743) = 1.252411765203918532 C3(479,743) = 9.645058201319120107 C4(479,743) = 5944 Sum = 3687.784083292627391 Averaged sum = 0.3684468062036794276 logp*logq = 40.79923672848656866 -------------- ************************************* p = 479; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 559227754267002171.4 -------------- Searches starting with [479,751]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(479,751) = 0.5397868055556191164 D2(479,751) = 0.1107184757853083354 C1(479,751) = 0.7517535158825557224 C2(479,751) = 1.813045812456493907 C3(479,751) = 3.928164119965946935 C4(479,751) = 6008 Sum = 4130.163776587638902 Averaged sum = 0.4126449971613187033 logp*logq = 40.86533321669272096 -------------- ************************************* p = 479; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 587378112719948834.1 -------------- Searches starting with [479,757]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(479,757) = 0.8287625603433025172 D2(479,757) = 0.006164604534669007512 C1(479,757) = 1.276696671018534568 C2(479,757) = 1.996104768092568267 C3(479,757) = 10.21191614401280074 C4(479,757) = 6056 Sum = 3422.733844534571790 Averaged sum = 0.3419656153995975412 logp*logq = 40.91444515169387127 -------------- ************************************* p = 479; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 606796975675250661.8 -------------- Searches starting with [479,761]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(479,761) = 1.095518552337966776 D2(479,761) = 0.03647168644181044223 C1(479,761) = 1.625619500015251724 C2(479,761) = 2.027254579101417299 C3(479,761) = 19.27070201804982164 C4(479,761) = 6088 Sum = 4144.850955183928907 Averaged sum = 0.4141123943634657715 logp*logq = 40.94697065831735304 -------------- ************************************* p = 479; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 647251872371086556.1 -------------- Searches starting with [479,769]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(479,769) = 0.9037281122749462685 D2(479,769) = 0.06473414867903637237 C1(479,769) = 1.527014764931114775 C2(479,769) = 1.190188596783788960 C3(479,769) = 16.10496833292741223 C4(479,769) = 6152 Sum = 3160.390509796380943 Averaged sum = 0.3157548715952024121 logp*logq = 41.01151190634786083 -------------- ************************************* p = 479; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 668311767321872298.3 -------------- Searches starting with [479,773]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(479,773) = 0.6670372812712722312 D2(479,773) = 0.09271396861482710315 C1(479,773) = 1.127046534505905066 C2(479,773) = 1.388049000519375394 C3(479,773) = 7.777196038792961941 C4(479,773) = 6184 Sum = 4132.586292297915146 Averaged sum = 0.4128870309019797328 logp*logq = 41.04353117711628511 -------------- ************************************* p = 479; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 746601719450792595.7 -------------- Searches starting with [479,787]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(479,787) = 0.8674520546122298105 D2(479,787) = 0.08096039304462266156 C1(479,787) = 1.214940611640420884 C2(479,787) = 1.684704682631601414 C3(479,787) = 9.126304418877376401 C4(479,787) = 6296 Sum = 4268.723408502679452 Averaged sum = 0.4264885011991886754 logp*logq = 41.15430826443002838 -------------- ************************************* p = 479; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 807108749870236903.5 -------------- Searches starting with [479,797]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(479,797) = 0.6545394336302630932 D2(479,797) = 0.06080894927038542709 C1(479,797) = 0.9105031588785559471 C2(479,797) = 2.099442500424214738 C3(479,797) = 5.244041405635419560 C4(479,797) = 6376 Sum = 3860.731524325385717 Averaged sum = 0.3857259990334085041 logp*logq = 41.23223481230507837 -------------- ************************************* p = 479; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 885090395537923753.5 -------------- Searches starting with [479,809]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(479,809) = 0.7148779522433696358 D2(479,809) = 0.07529121003310424835 C1(479,809) = 0.9890777835191757484 C2(479,809) = 1.848464554751173890 C3(479,809) = 6.050229885138382708 C4(479,809) = 6472 Sum = 4050.110372474031407 Averaged sum = 0.4046468550778330909 logp*logq = 41.32446617655325243 -------------- ************************************* p = 479; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 898681380591543457.8 -------------- Searches starting with [479,811]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(479,811) = 0.5935540299918840302 D2(479,811) = 0.07406764643900982936 C1(479,811) = 0.8342203048905379144 C2(479,811) = 1.847677173213152661 C3(479,811) = 4.564274699322824375 C4(479,811) = 6488 Sum = 4137.569820665192077 Averaged sum = 0.4133849356244571962 logp*logq = 41.33970495120254263 -------------- ************************************* p = 479; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 969289267134339806.6 -------------- Searches starting with [479,821]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(479,821) = 0.8651846714339991351 D2(479,821) = 0.06271581801559603670 C1(479,821) = 1.185229402777259092 C2(479,821) = 1.699066116163411694 C3(479,821) = 8.645917109451018926 C4(479,821) = 6568 Sum = 4123.283928732535447 Averaged sum = 0.4119576310053487309 logp*logq = 41.41533948354730378 -------------- ************************************* p = 479; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 983954247178368383.1 -------------- Searches starting with [479,823]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(479,823) = 0.8353508378419620619 D2(479,823) = 0.06162903001843944091 C1(479,823) = 1.203723585788989952 C2(479,823) = 1.698397831176222555 C3(479,823) = 8.941882514488854171 C4(479,823) = 6584 Sum = 4211.304795332087978 Averaged sum = 0.4207518029105892675 logp*logq = 41.43035579411197954 -------------- ************************************* p = 479; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.013842508124717041 E18 -------------- Searches starting with [479,827]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(479,827) = 0.7424597532118207308 D2(479,827) = 0.05637204894681420268 C1(479,827) = 1.023259560686748479 C2(479,827) = 1.608552697525588257 C3(479,827) = 6.438568475921591368 C4(479,827) = 6616 Sum = 4023.318614313844863 Averaged sum = 0.4019700883518678052 logp*logq = 41.46027924956756691 -------------- ************************************* p = 479; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.029069578636569544 E18 -------------- Searches starting with [479,829]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(479,829) = 0.9936884379023628746 D2(479,829) = 0.003167696179380062038 C1(479,829) = 1.458379164127910467 C2(479,829) = 2.094488163845635447 C3(479,829) = 14.21379225089321024 C4(479,829) = 6632 Sum = 5008.951508650746577 Averaged sum = 0.5004447505895440681 logp*logq = 41.47518674618137346 -------------- ************************************* p = 479; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.108111444678626696 E18 -------------- Searches starting with [479,839]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(479,839) = 1.184296879635939612 D2(479,839) = 0.03337096749947127408 C1(479,839) = 2.051718339937343402 C2(479,839) = 1.062981949691604241 C3(479,839) = 41.84929299172745614 C4(479,839) = 6712 Sum = 916.2462832669562220 Averaged sum = 0.09154224031041624757 logp*logq = 41.54918883899981607 -------------- ************************************* p = 479; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.227269345525150939 E18 -------------- Searches starting with [479,853]-exponents: u = 1, v = 10 n_start has 32 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(479,853) = 0.5635549125756697142 D2(479,853) = 0.05094684513045518010 C1(479,853) = 0.7677118534786697838 C2(479,853) = 1.868600696321148321 C3(479,853) = 4.043925739886865971 C4(479,853) = 6824 Sum = 3912.981010642018968 Averaged sum = 0.3909462494397061613 logp*logq = 41.65132333103701398 -------------- ************************************* p = 479; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.263221447973187517 E18 -------------- Searches starting with [479,857]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(479,857) = 0.6156450655073032472 D2(479,857) = 0.04875320131694278082 C1(479,857) = 0.8915949167906360729 C2(479,857) = 1.867247749089655505 C3(479,857) = 5.066650481246837149 C4(479,857) = 6856 Sum = 3970.941181462248537 Averaged sum = 0.3967370547969076368 logp*logq = 41.68019683678744546 -------------- ************************************* p = 479; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.281525823850642593 E18 -------------- Searches starting with [479,859]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(479,859) = 0.6349366781354184110 D2(479,859) = 0.04766517208813932164 C1(479,859) = 0.8978976259312557111 C2(479,859) = 1.866578570510535050 C3(479,859) = 5.125103470174425186 C4(479,859) = 6872 Sum = 3890.926956358497663 Averaged sum = 0.3887428270914674456 logp*logq = 41.69458309178032367 -------------- ************************************* p = 479; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.318801953931385078 E18 -------------- Searches starting with [479,863]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(479,863) = 0.7915858960776299759 D2(479,863) = 0.04185691666484064094 C1(479,863) = 1.251056073873394935 C2(479,863) = 1.715666734171790442 C3(479,863) = 9.746322718812707260 C4(479,863) = 6904 Sum = 2979.051055824594393 Averaged sum = 0.2976372320735932053 logp*logq = 41.72325538770512022 -------------- ************************************* p = 479; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.456506236560607427 E18 -------------- Searches starting with [479,877]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(479,877) = 0.7369242853311965571 D2(479,877) = 0.03190217299897451002 C1(479,877) = 1.070111631552507590 C2(479,877) = 1.557009591955499665 C3(479,877) = 7.011669270443113956 C4(479,877) = 7016 Sum = 4372.372463531334566 Averaged sum = 0.4368440866751258433 logp*logq = 41.82257225318264648 -------------- ************************************* p = 479; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.497992273456233233 E18 -------------- Searches starting with [479,881]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(479,881) = 0.6573850370653016506 D2(479,881) = 0.002761106404857898567 C1(479,881) = 0.9239318158674533088 C2(479,881) = 2.157888415238891666 C3(479,881) = 5.373783774744264568 C4(479,881) = 7048 Sum = 4287.423263259528299 Averaged sum = 0.4283568052012716854 logp*logq = 41.85065740106816164 -------------- ************************************* p = 479; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.519103744397251422 E18 -------------- Searches starting with [479,883]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(479,883) = 0.9694775628545686765 D2(479,883) = 0.01284964804679223280 C1(479,883) = 1.336758295417986823 C2(479,883) = 2.168353206867588791 C3(479,883) = 11.39148228412683690 C4(479,883) = 7064 Sum = 4082.884186311363658 Averaged sum = 0.4079212894706128142 logp*logq = 41.86465219299997645 -------------- ************************************* p = 479; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.562075301371443937 E18 -------------- Searches starting with [479,887]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(479,887) = 1.084635339649148003 D2(479,887) = 0.01926642056770319846 C1(479,887) = 1.907912732544872332 C2(479,887) = 1.084137245260606700 C3(479,887) = 32.21242911767988588 C4(479,887) = 7096 Sum = 2105.048544328606407 Averaged sum = 0.2103155704194831059 logp*logq = 41.89254693245271510 -------------- ************************************* p = 479; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.792530939613892172 E18 -------------- Searches starting with [479,907]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(479,907) = 1.542306757220409870 D2(479,907) = 0.02367410585344250423 C1(479,907) = 2.352224221045776071 C2(479,907) = 1.893080833984095894 C3(479,907) = 72.31184309485015799 C4(479,907) = 7256 Sum = 4574.154661357396567 Averaged sum = 0.4570041623895890265 logp*logq = 42.03016022782902258 -------------- ************************************* p = 479; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.841880013036074598 E18 -------------- Searches starting with [479,911]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(479,911) = 1.066949963245793846 D2(479,911) = 0.02171650548532648287 C1(479,911) = 1.556038621096962429 C2(479,911) = 1.891929477751285741 C3(479,911) = 16.97854507165987874 C4(479,911) = 7288 Sum = 4972.541160197074458 Averaged sum = 0.4968069897289513895 logp*logq = 42.05731847010159393 -------------- ************************************* p = 479; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.943999334602217292 E18 -------------- Searches starting with [479,919]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(479,919) = 0.6754887119290837830 D2(479,919) = 0.01638895191558988098 C1(479,919) = 1.079286747327450227 C2(479,919) = 1.734432873595036921 C3(479,919) = 7.129736489626331252 C4(479,919) = 7352 Sum = 3790.200902111035071 Averaged sum = 0.3786792788601293906 logp*logq = 42.11127903764820103 -------------- ************************************* p = 479; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.078281420855858461 E18 -------------- Searches starting with [479,929]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(479,929) = 0.6501135465372751360 D2(479,929) = 0.01139673339568040796 C1(479,929) = 0.9946663816579853068 C2(479,929) = 1.637985245266512784 C3(479,929) = 6.112081428738573675 C4(479,929) = 7432 Sum = 3533.129342761165381 Averaged sum = 0.3529952385614112680 logp*logq = 42.17807298610852365 -------------- ************************************* p = 479; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.191225172704969553 E18 -------------- Searches starting with [479,937]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(479,937) = 0.8696788329134611533 D2(479,937) = 0.007604600120167790917 C1(479,937) = 1.272238198566626274 C2(479,937) = 1.521034280755940039 C3(479,937) = 10.12938881212411838 C4(479,937) = 7496 Sum = 3526.263000276528696 Averaged sum = 0.3523092217280975817 logp*logq = 42.23099250088455252 -------------- ************************************* p = 479; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.249597679517704654 E18 -------------- Searches starting with [479,941]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(479,941) = 0.7052032959117858426 D2(479,941) = 0.005839791145227833457 C1(479,941) = 1.006293689503217997 C2(479,941) = 1.448408029487951360 C3(479,941) = 6.242799861076484289 C4(479,941) = 7528 Sum = 3596.266659515315333 Averaged sum = 0.3593032929878424751 logp*logq = 42.25728306501765507 -------------- ************************************* p = 479; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.339596395083101627 E18 -------------- Searches starting with [479,947]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(479,947) = 0.7932323832618782991 D2(479,947) = 0.003290179333582307393 C1(479,947) = 1.420371826380079495 C2(479,947) = 1.268352904074930208 C3(479,947) = 13.26382488305609617 C4(479,947) = 7576 Sum = 3948.381383709179014 Averaged sum = 0.3944831035776979732 logp*logq = 42.29651010765220274 -------------- ************************************* p = 479; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.432592898755774332 E18 -------------- Searches starting with [479,953]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(479,953) = 0.9523495853749816575 D2(479,953) = 0.002261395885465840205 C1(479,953) = 1.705091315916936894 C2(479,953) = 1.928708962198128459 C3(479,953) = 22.26960144727115075 C4(479,953) = 7624 Sum = 3769.914579711361045 Averaged sum = 0.3766524707474633874 logp*logq = 42.33548939889145693 -------------- ************************************* p = 479; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.661695397433630731 E18 -------------- Searches starting with [479,967]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(479,967) = 0.8416340503062638496 D2(479,967) = 0.05403043726046802040 C1(479,967) = 1.152967055170019340 C2(479,967) = 1.633892994346434605 C3(479,967) = 8.152874394833942475 C4(479,967) = 7736 Sum = 4125.147790763890394 Averaged sum = 0.4121438496117384748 logp*logq = 42.42549496111031127 -------------- ************************************* p = 479; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.730377559037551771 E18 -------------- Searches starting with [479,971]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(479,971) = 0.7182172624173384000 D2(479,971) = 0.07110709305555825981 C1(479,971) = 0.9805050664671897028 C2(479,971) = 1.721649728238807672 C3(479,971) = 5.956566015257817863 C4(479,971) = 7768 Sum = 3899.313772611617344 Averaged sum = 0.3895807545820379003 logp*logq = 42.45097157354088066 -------------- ************************************* p = 479; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.836181795460556658 E18 -------------- Searches starting with [479,977]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(479,977) = 0.7800463303979099797 D2(479,977) = 0.1002715207564480947 C1(479,977) = 1.201650027296969254 C2(479,977) = 1.854409509527034201 C3(479,977) = 8.908201022801413833 C4(479,977) = 7816 Sum = 3591.779562733898077 Averaged sum = 0.3588549867852830530 logp*logq = 42.48899038327991396 -------------- ************************************* p = 479; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.945400347953735409 E18 -------------- Searches starting with [479,983]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(479,983) = 0.6625550523645539970 D2(479,983) = 0.1269678033824910682 C1(479,983) = 0.9166867892498625778 C2(479,983) = 1.882100897068912154 C3(479,983) = 5.303391442913447024 C4(479,983) = 7864 Sum = 4009.093471654822483 Averaged sum = 0.4005488531976044043 logp*logq = 42.52677642333736880 -------------- ************************************* p = 479; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.096489154846526386 E18 -------------- Searches starting with [479,991]-exponents: u = 19, v = 8 n_start has 75 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(479,991) = 0.8684296801798930102 D2(479,991) = 0.1083147659933913839 C1(479,991) = 1.405210988172782657 C2(479,991) = 1.251153894331893631 C3(479,991) = 12.90284794725326224 C4(479,991) = 7928 Sum = 2739.841464575193554 Averaged sum = 0.2737377824533113751 logp*logq = 42.57680061289175078 -------------- ************************************* p = 479; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.214020925582660328 E18 -------------- Searches starting with [479,997]-exponents: u = 19, v = 8 n_start has 75 digits starting right neighbors generation We generated 232 left neighbors We generated 9778 right neighbors We generated 10009 non-negative rho_i D1(479,997) = 0.5788920491639376453 D2(479,997) = 0.1249089318060209022 C1(479,997) = 0.8017584402875574016 C2(479,997) = 1.896391637800585216 C3(479,997) = 4.302429465612894228 C4(479,997) = 7976 Sum = 4097.126234485352155 Averaged sum = 0.4093442136562445953 logp*logq = 42.61405445194695458 -------------- ************************************* p = 487; q = 491; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 44990731046328328.52 -------------- Searches starting with [487,491]-exponents: u = 1, v = 756 n_start has 2038 digits --- performed 5000 steps in the continued fraction search [487,491]-exponents: u = 479, v = 272 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(487,491) = 0.6478002671631965270 D2(487,491) = 0.2640869581619631188 C1(487,491) = 0.8259042962064537740 C2(487,491) = 1.245105136285467054 C3(487,491) = 4.505677539397573876 C4(487,491) = 3928 Sum = 5683.426749356181813 Averaged sum = 0.5683995148871068920 logp*logq = 38.34523288671662184 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(487,491) = 0.6478002671631965270 D2(487,491) = 0.2640869581619631188 C1(487,491) = 0.8259042962064537740 C2(487,491) = 1.245105136285467054 C3(487,491) = 4.505677539397573876 C4(487,491) = 3928 Sum = 5683.426749356181813 Averaged sum = 0.5683995148871068920 logp*logq = 38.34523288671662184 -------------- ************************************* p = 487; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 49723169832089866.61 -------------- Searches starting with [487,499]-exponents: u = 1, v = 254 n_start has 689 digits --- performed 5000 steps in the continued fraction search [487,499]-exponents: u = 110, v = 125 --- starting right neighbors generation We generated 7244 left neighbors We generated 2766 right neighbors We generated 10009 non-negative rho_i D1(487,499) = 0.7086021904869327715 D2(487,499) = 0.001707721201710761498 C1(487,499) = 0.9416786071112233720 C2(487,499) = 1.145893662996161138 C3(487,499) = 5.564209126601261443 C4(487,499) = 3992 Sum = 5049.270227426686677 Averaged sum = 0.5044729970453278726 logp*logq = 38.44524741318332352 -------------- ************************************* p = 487; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52241572142030069.86 -------------- Searches starting with [487,503]-exponents: u = 1, v = 191 n_start has 519 digits starting right neighbors generation We generated 4185 left neighbors We generated 5825 right neighbors We generated 10009 non-negative rho_i D1(487,503) = 0.6020321793752984688 D2(487,503) = 0.00008934917558946295944 C1(487,503) = 0.8107435732580275478 C2(487,503) = 1.191995311200533900 C3(487,503) = 4.382877689140398847 C4(487,503) = 4024 Sum = 4810.016880861885606 Averaged sum = 0.4805691758279434115 logp*logq = 38.49465497402844070 -------------- ************************************* p = 487; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 56219184782615726.15 -------------- Searches starting with [487,509]-exponents: u = 1, v = 140 n_start has 382 digits starting right neighbors generation We generated 2277 left neighbors We generated 7733 right neighbors We generated 10009 non-negative rho_i D1(487,509) = 0.8835112854388261702 D2(487,509) = 0.008491712605822799373 C1(487,509) = 1.208913385528134836 C2(487,509) = 1.256882524480803335 C3(487,509) = 9.056036583578952416 C4(487,509) = 4072 Sum = 4514.679015857383125 Averaged sum = 0.4510619458344872740 logp*logq = 38.56803445979684669 -------------- ************************************* p = 487; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 64939570408345011.01 -------------- Searches starting with [487,521]-exponents: u = 1, v = 91 n_start has 250 digits starting right neighbors generation We generated 967 left neighbors We generated 9043 right neighbors We generated 10009 non-negative rho_i D1(487,521) = 0.6105191917062522324 D2(487,521) = 0.01266258255669581083 C1(487,521) = 0.8560219377430825456 C2(487,521) = 1.348383308706479093 C3(487,521) = 4.759927015707753306 C4(487,521) = 4168 Sum = 4608.976528135780487 Averaged sum = 0.4604832179174523416 logp*logq = 38.71223354635477360 -------------- ************************************* p = 487; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 66497676331979972.59 -------------- Searches starting with [487,523]-exponents: u = 1, v = 86 n_start has 237 digits starting right neighbors generation We generated 834 left neighbors We generated 9176 right neighbors We generated 10009 non-negative rho_i D1(487,523) = 0.6516957809508615698 D2(487,523) = 0.02264317860870212934 C1(487,523) = 0.9169910606863939292 C2(487,523) = 1.369640847517579674 C3(487,523) = 5.319386560832609616 C4(487,523) = 4184 Sum = 4663.769373625373546 Averaged sum = 0.4659575755445472621 logp*logq = 38.73594339958575365 -------------- ************************************* p = 487; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81987298579215217.09 -------------- Searches starting with [487,541]-exponents: u = 1, v = 58 n_start has 162 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(487,541) = 0.6986827959490372784 D2(487,541) = 0.02802749611906901631 C1(487,541) = 1.009711192079749715 C2(487,541) = 1.469190005677392248 C3(487,541) = 6.298772442217540255 C4(487,541) = 4328 Sum = 4655.302395316595311 Averaged sum = 0.4651116390565086733 logp*logq = 38.94534073480198661 -------------- ************************************* p = 487; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87778618412324774.51 -------------- Searches starting with [487,547]-exponents: u = 1, v = 53 n_start has 148 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(487,547) = 0.5980395381236733273 D2(487,547) = 0.02989567561829648242 C1(487,547) = 0.8713032148508080390 C2(487,547) = 1.497546285219430297 C3(487,547) = 4.894366381063708699 C4(487,547) = 4376 Sum = 3708.600553032184339 Averaged sum = 0.3705265813799764550 logp*logq = 39.01359433983894491 -------------- ************************************* p = 487; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 98192245434515067.00 -------------- Searches starting with [487,557]-exponents: u = 1, v = 46 n_start has 129 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(487,557) = 0.8037548538647568310 D2(487,557) = 0.004063772488056123302 C1(487,557) = 1.184254841874549991 C2(487,557) = 1.515842239945022230 C3(487,557) = 8.658032932946405025 C4(487,557) = 4456 Sum = 2988.104064280795663 Averaged sum = 0.2985417188810865884 logp*logq = 39.12570364009107818 -------------- ************************************* p = 487; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 104923415658768394.0 -------------- Searches starting with [487,563]-exponents: u = 1, v = 42 n_start has 119 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(487,563) = 0.8769947028743436406 D2(487,563) = 0.005687644904375682876 C1(487,563) = 1.204870575802585994 C2(487,563) = 1.539902632804874305 C3(487,563) = 8.989551112384955219 C4(487,563) = 4504 Sum = 4236.250806429547594 Averaged sum = 0.4232441608981464276 logp*logq = 39.19200710426669146 -------------- ************************************* p = 487; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 112037237836524300.6 -------------- Searches starting with [487,569]-exponents: u = 1, v = 39 n_start has 111 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(487,569) = 0.6641972736449270038 D2(487,569) = 0.04179601983283306297 C1(487,569) = 0.9018619704474116871 C2(487,569) = 1.592764004451434152 C3(487,569) = 5.174707844803900636 C4(487,569) = 4552 Sum = 4045.925158799237232 Averaged sum = 0.4042287100408869250 logp*logq = 39.25760769162957825 -------------- ************************************* p = 487; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114496531097671979.9 -------------- Searches starting with [487,571]-exponents: u = 1, v = 38 n_start has 108 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(487,571) = 0.7312350344797353985 D2(487,571) = 0.02858990606718552946 C1(487,571) = 1.092534157087739531 C2(487,571) = 1.588134597627822566 C3(487,571) = 7.325141142823362802 C4(487,571) = 4568 Sum = 4389.806731616291815 Averaged sum = 0.4385859458103998216 logp*logq = 39.27932092135584274 -------------- ************************************* p = 487; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122147679836010368.3 -------------- Searches starting with [487,577]-exponents: u = 1, v = 36 n_start has 103 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(487,577) = 0.9644743327969717261 D2(487,577) = 0.03989256390728951447 C1(487,577) = 1.371633205596832706 C2(487,577) = 1.618076909866991278 C3(487,577) = 12.18265954804457975 C4(487,577) = 4616 Sum = 4852.820195801907013 Averaged sum = 0.4848456584875519045 logp*logq = 39.34400719805016987 -------------- ************************************* p = 487; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 135851310350241142.3 -------------- Searches starting with [487,587]-exponents: u = 1, v = 33 n_start has 95 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(487,587) = 0.6860945295190631372 D2(487,587) = 0.04347964841908727032 C1(487,587) = 1.040725249596636036 C2(487,587) = 1.652755175988231741 C3(487,587) = 6.665084815327755700 C4(487,587) = 4696 Sum = 3128.826842959154093 Averaged sum = 0.3126013430871369860 logp*logq = 39.45033737630326025 -------------- ************************************* p = 487; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 144675459467542425.7 -------------- Searches starting with [487,593]-exponents: u = 1, v = 31 n_start has 89 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(487,593) = 0.5817611896723309553 D2(487,593) = 0.007370901086847380092 C1(487,593) = 0.8357744492418182234 C2(487,593) = 1.639521235402125207 C3(487,593) = 4.587467628665560293 C4(487,593) = 4744 Sum = 3977.879281987813942 Averaged sum = 0.3974302409818976863 logp*logq = 39.51326941822552345 -------------- ************************************* p = 487; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 153975193833378547.8 -------------- Searches starting with [487,599]-exponents: u = 1, v = 29 n_start has 84 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(487,599) = 0.7269722099059231709 D2(487,599) = 0.03831018124020130748 C1(487,599) = 1.112826662585722309 C2(487,599) = 1.683438237739127373 C3(487,599) = 7.601143162932967074 C4(487,599) = 4792 Sum = 4039.045669386604485 Averaged sum = 0.4035413796969332086 logp*logq = 39.57556790534566293 -------------- ************************************* p = 487; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 157184311690988339.4 -------------- Searches starting with [487,601]-exponents: u = 1, v = 29 n_start has 84 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(487,601) = 0.5721758772060281857 D2(487,601) = 0.07942731972073644592 C1(487,601) = 0.8258637882407851737 C2(487,601) = 1.725035990999524500 C3(487,601) = 4.505344888356064445 C4(487,601) = 4808 Sum = 3959.173455751214227 Averaged sum = 0.3955613403687895121 logp*logq = 39.59619547152221736 -------------- ************************************* p = 487; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 167150132329120748.1 -------------- Searches starting with [487,607]-exponents: u = 1, v = 28 n_start has 81 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(487,607) = 0.7437217303996838290 D2(487,607) = 0.004556933495456641483 C1(487,607) = 1.146298366119626013 C2(487,607) = 1.676567383661677968 C3(487,607) = 8.079306236854617755 C4(487,607) = 4856 Sum = 2799.568828697199037 Averaged sum = 0.2797051482363072272 logp*logq = 39.65766879945533531 -------------- ************************************* p = 487; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 177640361776797319.6 -------------- Searches starting with [487,613]-exponents: u = 1, v = 26 n_start has 76 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(487,613) = 0.7174883327918076014 D2(487,613) = 0.01099248517838285100 C1(487,613) = 1.109941262050345868 C2(487,613) = 1.697996655335903809 C3(487,613) = 7.561273009793172026 C4(487,613) = 4904 Sum = 3855.740216977496614 Averaged sum = 0.3852273171123485477 logp*logq = 39.71853746190534184 -------------- ************************************* p = 487; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 184936048443697186.6 -------------- Searches starting with [487,617]-exponents: u = 1, v = 26 n_start has 76 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(487,617) = 0.6430126265074271241 D2(487,617) = 0.08101358803603505259 C1(487,617) = 0.9986332934954012121 C2(487,617) = 1.768969564258235479 C3(487,617) = 6.172868131189808751 C4(487,617) = 4936 Sum = 3754.356397155602503 Averaged sum = 0.3750980514692379362 logp*logq = 39.75878647613836934 -------------- ************************************* p = 487; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 188677053789588926.3 -------------- Searches starting with [487,619]-exponents: u = 1, v = 25 n_start has 73 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(487,619) = 0.9392530735700529965 D2(487,619) = 0.008590469713989444576 C1(487,619) = 1.288781596948876104 C2(487,619) = 1.711402810669002704 C3(487,619) = 10.47512841885285698 C4(487,619) = 4952 Sum = 4226.233512830348598 Averaged sum = 0.4222433322839792785 logp*logq = 39.77881323835211382 -------------- ************************************* p = 487; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 212481550792019971.0 -------------- Searches starting with [487,631]-exponents: u = 1, v = 23 n_start has 68 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(487,631) = 1.080417459948548350 D2(487,631) = 0.09285219233590257138 C1(487,631) = 1.444304520624693442 C2(487,631) = 1.813791732910723848 C3(487,631) = 13.90805682411174927 C4(487,631) = 5048 Sum = 3734.142258436473226 Averaged sum = 0.3730784552339367795 logp*logq = 39.89763155970384064 -------------- ************************************* p = 487; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 234195659989573365.4 -------------- Searches starting with [487,641]-exponents: u = 1, v = 22 n_start has 65 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(487,641) = 0.7773064364250151438 D2(487,641) = 0.00007805794313575993066 C1(487,641) = 1.145286213924940930 C2(487,641) = 1.757126377138092014 C3(487,641) = 8.064415241159437530 C4(487,641) = 5128 Sum = 4107.704440214586879 Averaged sum = 0.4104010830467166429 logp*logq = 39.99493331468813671 -------------- ************************************* p = 487; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 238754306465199994.2 -------------- Searches starting with [487,643]-exponents: u = 1, v = 22 n_start has 65 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(487,643) = 0.6011386355420737408 D2(487,643) = 0.02656301861184466756 C1(487,643) = 0.8428712699102193385 C2(487,643) = 1.784077895739468128 C3(487,643) = 4.647192202843189501 C4(487,643) = 5144 Sum = 4186.312281881119476 Averaged sum = 0.4182547988691297308 logp*logq = 40.01421141165942612 -------------- ************************************* p = 487; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 248095058100171293.1 -------------- Searches starting with [487,647]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(487,647) = 0.5691757431241201736 D2(487,647) = 0.08554135148819500259 C1(487,647) = 0.7882144523765665406 C2(487,647) = 1.843984981146449339 C3(487,647) = 4.206549473584595203 C4(487,647) = 5176 Sum = 4156.488102646412815 Averaged sum = 0.4152750627082038979 logp*logq = 40.05258836642646488 -------------- ************************************* p = 487; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 262679541324483489.0 -------------- Searches starting with [487,653]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(487,653) = 0.7198131886056099188 D2(487,653) = 0.03370443778247328826 C1(487,653) = 1.144284969227147279 C2(487,653) = 1.812283739847736657 C3(487,653) = 8.049711722611479636 C4(487,653) = 5224 Sum = 3548.737202410127024 Averaged sum = 0.3545546210820388674 logp*logq = 40.10971121009398338 -------------- ************************************* p = 487; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 277976113266999622.9 -------------- Searches starting with [487,659]-exponents: u = 1, v = 20 n_start has 60 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(487,659) = 0.6634819603658019791 D2(487,659) = 0.1222518379619644188 C1(487,659) = 0.9850012679730210921 C2(487,659) = 1.902209875213913756 C3(487,659) = 6.021383840631397798 C4(487,659) = 5272 Sum = 3663.779175292804035 Averaged sum = 0.3660484739027679124 logp*logq = 40.16631158140968558 -------------- ************************************* p = 487; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 283237995118172858.7 -------------- Searches starting with [487,661]-exponents: u = 1, v = 20 n_start has 60 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(487,661) = 0.7623884334163143189 D2(487,661) = 0.001556251538655444585 C1(487,661) = 1.075169181894199950 C2(487,661) = 1.802189039169574651 C3(487,661) = 7.096928403306986022 C4(487,661) = 5288 Sum = 4464.074279925271074 Averaged sum = 0.4460060225722121165 logp*logq = 40.18506391128399566 -------------- ************************************* p = 487; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 316595079989850286.7 -------------- Searches starting with [487,673]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(487,673) = 0.6529761839389065926 D2(487,673) = 0.001730195028153505890 C1(487,673) = 1.050303178548760467 C2(487,673) = 1.826993386322614563 C3(487,673) = 6.782460457361320696 C4(487,673) = 5384 Sum = 3958.765834902922939 Averaged sum = 0.3955206149368491297 logp*logq = 40.29640000209108109 -------------- ************************************* p = 487; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 328420536058954240.7 -------------- Searches starting with [487,677]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(487,677) = 0.5863209577987369447 D2(487,677) = 0.04713379115308278025 C1(487,677) = 0.8188852073511777744 C2(487,677) = 1.873303074597000727 C3(487,677) = 4.448401874099152164 C4(487,677) = 5416 Sum = 4173.267350663165765 Averaged sum = 0.4169514787354546673 logp*logq = 40.33307130420906617 -------------- ************************************* p = 487; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 346851798152363332.5 -------------- Searches starting with [487,683]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(487,683) = 0.5530835288467426209 D2(487,683) = 0.1269021412928647903 C1(487,683) = 0.8013520659656356354 C2(487,683) = 1.954420519757423693 C3(487,683) = 4.308492354581765378 C4(487,683) = 5464 Sum = 3893.778969437969350 Averaged sum = 0.3890277719490427965 logp*logq = 40.38767398896486518 -------------- ************************************* p = 487; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 372769292012752065.7 -------------- Searches starting with [487,691]-exponents: u = 1, v = 17 n_start has 51 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(487,691) = 0.6557140281810046566 D2(487,691) = 0.04679391979517259756 C1(487,691) = 0.9526218786942407485 C2(487,691) = 1.899941013324933573 C3(487,691) = 5.676305968304542091 C4(487,691) = 5528 Sum = 3769.873539044625283 Averaged sum = 0.3766483703711285127 logp*logq = 40.45973610311899791 -------------- ************************************* p = 487; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 407431605219135980.2 -------------- Searches starting with [487,701]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(487,701) = 1.177590395869439492 D2(487,701) = 0.1098548038122317444 C1(487,701) = 1.920173270768172161 C2(487,701) = 1.245423555975330749 C3(487,701) = 33.10924913438770876 C4(487,701) = 5608 Sum = 4585.503531647662527 Averaged sum = 0.4581380289387214034 logp*logq = 40.54864947355186097 -------------- ************************************* p = 487; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 437070832047212813.6 -------------- Searches starting with [487,709]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(487,709) = 0.7454513085015865236 D2(487,709) = 0.06534540286709214020 C1(487,709) = 1.127608060564172238 C2(487,709) = 1.948569137449444778 C3(487,709) = 7.808712014981586771 C4(487,709) = 5672 Sum = 3541.487702909236965 Averaged sum = 0.3538303230002234954 logp*logq = 40.61887166393614667 -------------- ************************************* p = 487; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 476642651422630511.2 -------------- Searches starting with [487,719]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(487,719) = 0.6597914175349445590 D2(487,719) = 0.1301271766211049853 C1(487,719) = 1.084246524161726582 C2(487,719) = 1.397140890856934627 C3(487,719) = 7.215322797209703553 C4(487,719) = 5752 Sum = 4091.616413901143348 Averaged sum = 0.4087937270357821309 logp*logq = 40.70554344659648646 -------------- ************************************* p = 487; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 510423582866507519.6 -------------- Searches starting with [487,727]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(487,727) = 0.8899623156660261928 D2(487,727) = 0.05371779410623537231 C1(487,727) = 1.214562242892248569 C2(487,727) = 1.969613053163490170 C3(487,727) = 9.149758423196907873 C4(487,727) = 5816 Sum = 3996.080031863959446 Averaged sum = 0.3992486793749584820 logp*logq = 40.77401733054962148 -------------- ************************************* p = 487; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 537056695325361233.7 -------------- Searches starting with [487,733]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(487,733) = 0.6250785850518199726 D2(487,733) = 0.1024462721006808026 C1(487,733) = 1.036077480960233678 C2(487,733) = 1.404015467046971410 C3(487,733) = 6.608861513740398496 C4(487,733) = 5864 Sum = 3853.455422702032368 Averaged sum = 0.3849990431313849903 logp*logq = 40.82488006173367573 -------------- ************************************* p = 487; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 564845222740410485.6 -------------- Searches starting with [487,739]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(487,739) = 0.6731900552669556382 D2(487,739) = 0.1270492045099873748 C1(487,739) = 0.9426306248593309289 C2(487,739) = 1.801807194796314187 C3(487,739) = 5.573872521264045305 C4(487,739) = 5912 Sum = 3966.400825473688470 Averaged sum = 0.3962834274626524598 logp*logq = 40.87532814647577735 -------------- ************************************* p = 487; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 584032578993605435.4 -------------- Searches starting with [487,743]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(487,743) = 0.6691556618061907381 D2(487,743) = 0.1240029153148980542 C1(487,743) = 0.9859330379624249733 C2(487,743) = 1.799674999740191529 C3(487,743) = 6.031618614297476751 C4(487,743) = 5944 Sum = 3979.483954408882764 Averaged sum = 0.3975905639333482630 logp*logq = 40.90873316213088870 -------------- ************************************* p = 487; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 624050094177351637.0 -------------- Searches starting with [487,751]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(487,751) = 0.8619315549734645630 D2(487,751) = 0.06572082127662505555 C1(487,751) = 1.198131629636562517 C2(487,751) = 2.018660262779081499 C3(487,751) = 8.879809854792418952 C4(487,751) = 6008 Sum = 4311.577397036079150 Averaged sum = 0.4307700466616124637 logp*logq = 40.97500703918828720 -------------- ************************************* p = 487; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 655549873657789514.4 -------------- Searches starting with [487,757]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(487,757) = 0.9592447986350201332 D2(487,757) = 0.07299862667162470266 C1(487,757) = 1.604898091141712973 C2(487,757) = 1.150796771166522014 C3(487,757) = 18.63748568991248107 C4(487,757) = 6056 Sum = 2227.479162028633354 Averaged sum = 0.2225476233418556653 logp*logq = 41.02425078012903841 -------------- ************************************* p = 487; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 677281629929884339.3 -------------- Searches starting with [487,761]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(487,761) = 0.6109049896870147345 D2(487,761) = 0.1124740318578464954 C1(487,761) = 1.022074914923678934 C2(487,761) = 1.816605071147761645 C3(487,761) = 6.442325390802844822 C4(487,761) = 6088 Sum = 3934.891495817897123 Averaged sum = 0.3931353277867816089 logp*logq = 41.05686357826244344 -------------- ************************************* p = 487; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 722560856075109650.3 -------------- Searches starting with [487,769]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(487,769) = 0.8112927120562566270 D2(487,769) = 0.1068302321191050217 C1(487,769) = 1.102653668318821434 C2(487,769) = 1.812754644812798165 C3(487,769) = 7.461502468405600065 C4(487,769) = 6152 Sum = 3948.470892785092781 Averaged sum = 0.3944920464367162335 logp*logq = 41.12157804121188032 -------------- ************************************* p = 487; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 746135224565538429.5 -------------- Searches starting with [487,773]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(487,773) = 0.7025400700196472381 D2(487,773) = 0.02298314197789006510 C1(487,773) = 1.001952711817089617 C2(487,773) = 2.016267785968130660 C3(487,773) = 6.210328133699668563 C4(487,773) = 6184 Sum = 4275.859622133917889 Averaged sum = 0.4272014808805992496 logp*logq = 41.15368324486136231 -------------- ************************************* p = 487; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 833789722519382395.3 -------------- Searches starting with [487,787]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(487,787) = 0.6600414562130141501 D2(487,787) = 0.09270438865357213205 C1(487,787) = 1.115896504414516689 C2(487,787) = 1.390184117621506667 C3(487,787) = 7.643792752219046841 C4(487,787) = 6296 Sum = 3978.314046999237073 Averaged sum = 0.3974736783893732714 logp*logq = 41.26475763420727550 -------------- ************************************* p = 487; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 901551281241293501.8 -------------- Searches starting with [487,797]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(487,797) = 0.5469222100921698993 D2(487,797) = 0.08968292007553708548 C1(487,797) = 0.7658236678939159949 C2(487,797) = 1.829030194578295162 C3(487,797) = 4.038333240021388032 C4(487,797) = 6376 Sum = 3904.331921938577490 Averaged sum = 0.3900821182873990898 logp*logq = 41.34289332028594716 -------------- ************************************* p = 487; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 988902575713744659.9 -------------- Searches starting with [487,809]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(487,809) = 0.6639029740550602014 D2(487,809) = 0.04279273042641555478 C1(487,809) = 0.9527252980941948166 C2(487,809) = 2.083842716685294681 C3(487,809) = 5.677376040606189668 C4(487,809) = 6472 Sum = 3615.998329242964072 Averaged sum = 0.3612746857071599632 logp*logq = 41.43537221380832145 -------------- ************************************* p = 487; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.004128711923595264 E18 -------------- Searches starting with [487,811]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(487,811) = 0.6042643016485181011 D2(487,811) = 0.05693284993745449199 C1(487,811) = 1.033796954923396343 C2(487,811) = 2.098382073883777979 C3(487,811) = 6.581448058265085891 C4(487,811) = 6488 Sum = 3721.315863968456204 Averaged sum = 0.3717969691246334503 logp*logq = 41.45065188607264084 -------------- ************************************* p = 487; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.083241279667194771 E18 -------------- Searches starting with [487,821]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(487,821) = 0.5699253753535206077 D2(487,821) = 0.07616585755701014749 C1(487,821) = 0.9749147029284797061 C2(487,821) = 1.851435370623769666 C3(487,821) = 5.911696123855750054 C4(487,821) = 6568 Sum = 4143.569442457680976 Averaged sum = 0.4139843583232771481 logp*logq = 41.52648940534108444 -------------- ************************************* p = 487; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.099674627186399048 E18 -------------- Searches starting with [487,823]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(487,823) = 0.6952021320776919388 D2(487,823) = 0.07495748446709095380 C1(487,823) = 0.9998784956418185553 C2(487,823) = 1.850656677764950996 C3(487,823) = 6.186893818884367674 C4(487,823) = 6584 Sum = 4325.079837174111317 Averaged sum = 0.4321190765485174660 logp*logq = 41.54154601647472107 -------------- ************************************* p = 487; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.133168970262898657 E18 -------------- Searches starting with [487,827]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(487,827) = 0.6341298466259311716 D2(487,827) = 0.07256239102858448625 C1(487,827) = 0.9518794089315666445 C2(487,827) = 1.849117763714471080 C3(487,827) = 5.668629612023440937 C4(487,827) = 6616 Sum = 3420.908291118646793 Averaged sum = 0.3417832242100756112 logp*logq = 41.57154978009088768 -------------- ************************************* p = 487; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.150234243171346034 E18 -------------- Searches starting with [487,829]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(487,829) = 0.5815041499712157143 D2(487,829) = 0.07137550110429176228 C1(487,829) = 0.7962952780422209017 C2(487,829) = 1.848357383300519920 C3(487,829) = 4.268964377813407184 C4(487,829) = 6632 Sum = 4010.934117460110202 Averaged sum = 0.4007327522689689482 logp*logq = 41.58649728524026168 -------------- ************************************* p = 487; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.238828667221347112 E18 -------------- Searches starting with [487,839]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(487,839) = 0.7731809527337956387 D2(487,839) = 0.06040200280743470067 C1(487,839) = 1.079863992291626798 C2(487,839) = 1.699919642513861669 C3(487,839) = 7.157917516559177915 C4(487,839) = 6712 Sum = 4270.042255632816008 Averaged sum = 0.4266202673226911787 logp*logq = 41.66069798386350794 -------------- ************************************* p = 487; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.372419045144980854 E18 -------------- Searches starting with [487,853]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(487,853) = 0.8750196912024577703 D2(487,853) = 0.03796876688148158748 C1(487,853) = 1.516917412928685442 C2(487,853) = 1.211497396311412446 C3(487,853) = 15.87612682101663410 C4(487,853) = 6824 Sum = 3643.867665321004314 Averaged sum = 0.3640591133301033384 logp*logq = 41.76310658305385117 -------------- ************************************* p = 487; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.412732687848781823 E18 -------------- Searches starting with [487,857]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(487,857) = 0.8214222433096884304 D2(487,857) = 0.04696797266679706307 C1(487,857) = 1.423927388798963691 C2(487,857) = 1.258558878271794684 C3(487,857) = 13.40097983757402904 C4(487,857) = 6856 Sum = 3986.085579086098834 Averaged sum = 0.3982501327890996937 logp*logq = 41.79205757912420016 -------------- ************************************* p = 487; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.433258853287600796 E18 -------------- Searches starting with [487,859]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(487,859) = 0.6700247577079696066 D2(487,859) = 0.05543937257778991175 C1(487,859) = 1.161481334897416639 C2(487,859) = 1.873823141741144924 C3(487,859) = 8.306009717806062338 C4(487,859) = 6872 Sum = 3924.503774807499215 Averaged sum = 0.3920974897399839359 logp*logq = 41.80648244375151103 -------------- ************************************* p = 487; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.475061990106073874 E18 -------------- Searches starting with [487,863]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(487,863) = 0.6264956013617568664 D2(487,863) = 0.05323460999284440104 C1(487,863) = 0.8610876952986955383 C2(487,863) = 1.872453072880215791 C3(487,863) = 4.804079542697733910 C4(487,863) = 6904 Sum = 3873.396787771509798 Averaged sum = 0.3869913865292746326 logp*logq = 41.83523168999204639 -------------- ************************************* p = 487; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.629516633249786183 E18 -------------- Searches starting with [487,877]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(487,877) = 0.8906263271160726541 D2(487,877) = 0.04570059554002383448 C1(487,877) = 1.177279252025609230 C2(487,877) = 1.867809765315187530 C3(487,877) = 8.548650735155201975 C4(487,877) = 7016 Sum = 3231.423661008981042 Averaged sum = 0.3228517994813648758 logp*logq = 41.93481510071508527 -------------- ************************************* p = 487; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.676056896445690648 E18 -------------- Searches starting with [487,881]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(487,881) = 0.5503564826865827792 D2(487,881) = 0.04010414164711448349 C1(487,881) = 0.7667898028573210518 C2(487,881) = 1.716935460166535669 C3(487,881) = 4.045450728447333559 C4(487,881) = 7048 Sum = 4063.012341027101705 Averaged sum = 0.4059358918000900894 logp*logq = 41.96297562313646007 -------------- ************************************* p = 487; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.699741703170366556 E18 -------------- Searches starting with [487,883]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(487,883) = 1.072116261253286126 D2(487,883) = 0.03914515538483905170 C1(487,883) = 1.555438762463992193 C2(487,883) = 1.716372755822894417 C3(487,883) = 17.03087100356533541 C4(487,883) = 7064 Sum = 5026.990006906634840 Averaged sum = 0.5022469784100943990 logp*logq = 41.97700797409949709 -------------- ************************************* p = 487; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.747953898762215109 E18 -------------- Searches starting with [487,887]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(487,887) = 0.7096433183752864069 D2(487,887) = 0.03526321930611744929 C1(487,887) = 1.076433571427264168 C2(487,887) = 1.624133864972363998 C3(487,887) = 7.113302457265752655 C4(487,887) = 7096 Sum = 3050.742055907924096 Averaged sum = 0.3047998856936681083 logp*logq = 42.00497757707254714 -------------- ************************************* p = 487; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.006573464349391672 E18 -------------- Searches starting with [487,907]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(487,907) = 0.8231398097163151305 D2(487,907) = 0.02966582723100116176 C1(487,907) = 1.448813328453591832 C2(487,907) = 1.255553048095937771 C3(487,907) = 14.02282415974922942 C4(487,907) = 7256 Sum = 3992.784635469020617 Averaged sum = 0.3989194360544530539 logp*logq = 42.14296019712926530 -------------- ************************************* p = 487; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.061965496499346504 E18 -------------- Searches starting with [487,911]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(487,911) = 0.6063536830054336440 D2(487,911) = 0.02912128956599765982 C1(487,911) = 1.067246763338974210 C2(487,911) = 1.898774415912788081 C3(487,911) = 6.995186281636284959 C4(487,911) = 7288 Sum = 3719.752076791956382 Averaged sum = 0.3716407310212764894 logp*logq = 42.17019132632108676 -------------- ************************************* p = 487; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.176602203435053367 E18 -------------- Searches starting with [487,919]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(487,919) = 0.7793517533827260292 D2(487,919) = 0.02518873310225418162 C1(487,919) = 1.157020855330779227 C2(487,919) = 1.896443511990294409 C3(487,919) = 8.238756328437473647 C4(487,919) = 7352 Sum = 4208.111886423483945 Averaged sum = 0.4204327991231375706 logp*logq = 42.22429671250102019 -------------- ************************************* p = 487; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.327368540891627487 E18 -------------- Searches starting with [487,929]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(487,929) = 0.6508774823437963905 D2(487,929) = 0.02037552541885124361 C1(487,929) = 0.8957740616379562671 C2(487,929) = 1.893612512579054454 C3(487,929) = 5.117605876067169871 C4(487,929) = 7432 Sum = 4063.988625442627254 Averaged sum = 0.4060334324550531776 logp*logq = 42.29126992164688208 -------------- ************************************* p = 487; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.454197409936644271 E18 -------------- Searches starting with [487,937]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(487,937) = 0.6815546678937062047 D2(487,937) = 0.01524054658775882549 C1(487,937) = 0.9433588178721057132 C2(487,937) = 1.736121497501320720 C3(487,937) = 5.581275323682080795 C4(487,937) = 7496 Sum = 3941.153014775273338 Averaged sum = 0.3937609166525400477 logp*logq = 42.34433146109304694 -------------- ************************************* p = 487; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.519753072426281265 E18 -------------- Searches starting with [487,941]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(487,941) = 0.7084393273021713409 D2(487,941) = 0.01353315285145668568 C1(487,941) = 1.035232686876134521 C2(487,941) = 1.735172347264780625 C3(487,941) = 6.598693231754513934 C4(487,941) = 7528 Sum = 4043.235601436948347 Averaged sum = 0.4039599961471623885 logp*logq = 42.37069258348267349 -------------- ************************************* p = 487; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.620835681251387366 E18 -------------- Searches starting with [487,947]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(487,947) = 0.5676707861984072494 D2(487,947) = 0.01040336616263449423 C1(487,947) = 0.7789206066241893797 C2(487,947) = 1.639688555533670802 C3(487,947) = 4.135892883559962937 C4(487,947) = 7576 Sum = 3966.381236322617482 Averaged sum = 0.3962814703089836629 logp*logq = 42.41002490311785430 -------------- ************************************* p = 487; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.725296235694066661 E18 -------------- Searches starting with [487,953]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(487,953) = 0.5628646213682311965 D2(487,953) = 0.007717125748601493784 C1(487,953) = 0.7897455960589273260 C2(487,953) = 1.572739527715991581 C3(487,953) = 4.218305281224555125 C4(487,953) = 7624 Sum = 4095.527849789265713 Averaged sum = 0.4091845189119058561 logp*logq = 42.44910880644593469 -------------- ************************************* p = 487; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.982686040668788143 E18 -------------- Searches starting with [487,967]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(487,967) = 1.018666165017849542 D2(487,967) = 0.001815877376047309227 C1(487,967) = 1.825094642614328740 C2(487,967) = 1.124808751872842023 C3(487,967) = 27.84120654330073703 C4(487,967) = 7736 Sum = 3180.480903241049167 Averaged sum = 0.3177621044301178107 logp*logq = 42.53935592436193851 -------------- ************************************* p = 487; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.059860224594025209 E18 -------------- Searches starting with [487,971]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(487,971) = 0.9192519531793445239 D2(487,971) = 0.001330902479170010142 C1(487,971) = 1.646903156961073213 C2(487,971) = 1.930688113205669396 C3(487,971) = 20.12042844210964698 C4(487,971) = 7768 Sum = 3912.045964424377514 Averaged sum = 0.3908528288964309635 logp*logq = 42.56490091057658260 -------------- ************************************* p = 487; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.178756494289234316 E18 -------------- Searches starting with [487,977]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(487,977) = 0.8991630534246989263 D2(487,977) = 0.02470988264434128286 C1(487,977) = 1.264276988679498752 C2(487,977) = 1.450468136403725900 C3(487,977) = 10.01756736202887974 C4(487,977) = 7816 Sum = 4816.481627651430731 Averaged sum = 0.4812150692028604986 logp*logq = 42.60302175467732541 -------------- ************************************* p = 487; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.301502046425801571 E18 -------------- Searches starting with [487,983]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(487,983) = 0.5793324015602103647 D2(487,983) = 0.04515303314494084776 C1(487,983) = 0.7881677540965632938 C2(487,983) = 1.574937458440592108 C3(487,983) = 4.206191449054707424 C4(487,983) = 7864 Sum = 3674.413375640244113 Averaged sum = 0.3671109377200763426 logp*logq = 42.64090920439240122 -------------- ************************************* p = 487; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.471323642138376248 E18 -------------- Searches starting with [487,991]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(487,991) = 0.6489497057893849233 D2(487,991) = 0.07752201089153956412 C1(487,991) = 0.9292694157522970462 C2(487,991) = 1.730940409130363119 C3(487,991) = 5.439772222434643388 C4(487,991) = 7928 Sum = 3939.519794945831636 Averaged sum = 0.3935977415272086757 logp*logq = 42.69106764818267991 -------------- ************************************* p = 487; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.603443062650983035 E18 -------------- Searches starting with [487,997]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(487,997) = 0.8269121028787818439 D2(487,997) = 0.1070994105986935371 C1(487,997) = 1.150102227776682932 C2(487,997) = 1.864222084485076108 C3(487,997) = 8.135515713552230913 C4(487,997) = 7976 Sum = 4176.777360182114895 Averaged sum = 0.4173021640705479963 logp*logq = 42.72842146858173214 -------------- ************************************* p = 491; q = 499; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 52315367701258463.34 -------------- Searches starting with [491,499]-exponents: u = 1, v = 383 n_start has 1037 digits --- performed 5000 steps in the continued fraction search [491,499]-exponents: u = 99, v = 272 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(491,499) = 0.6491159184698503799 D2(491,499) = 0.08800154932488321999 C1(491,499) = 0.8480813448524954157 C2(491,499) = 1.163896913438412548 C3(491,499) = 4.696791798656436042 C4(491,499) = 3992 Sum = 5309.465020156691897 Averaged sum = 0.5309996019758667763 logp*logq = 38.49606656031994088 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(491,499) = 0.6491159184698503799 D2(491,499) = 0.08800154932488321999 C1(491,499) = 0.8480813448524954157 C2(491,499) = 1.163896913438412548 C3(491,499) = 4.696791798656436042 C4(491,499) = 3992 Sum = 5309.465020156691897 Averaged sum = 0.5309996019758667763 logp*logq = 38.49606656031994088 -------------- ************************************* p = 491; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 54968650731052714.61 -------------- Searches starting with [491,503]-exponents: u = 1, v = 256 n_start has 695 digits --- performed 5000 steps in the continued fraction search [491,503]-exponents: u = 70, v = 167 --- starting right neighbors generation We generated 7304 left neighbors We generated 2706 right neighbors We generated 10009 non-negative rho_i D1(491,503) = 0.6366018612390344187 D2(491,503) = 0.0005519210966496664598 C1(491,503) = 0.8457058973652544108 C2(491,503) = 1.144246431583934627 C3(491,503) = 4.676485757568154307 C4(491,503) = 4024 Sum = 5065.604121858773440 Averaged sum = 0.5061049177598934399 logp*logq = 38.54553943093084691 -------------- ************************************* p = 491; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 59159638012059950.43 -------------- Searches starting with [491,509]-exponents: u = 1, v = 172 n_start has 469 digits starting right neighbors generation We generated 3443 left neighbors We generated 6567 right neighbors We generated 10009 non-negative rho_i D1(491,509) = 0.7993674303826566001 D2(491,509) = 0.001548682627786606685 C1(491,509) = 1.082298768136055400 C2(491,509) = 1.213157809931162079 C3(491,509) = 7.200039734701488515 C4(491,509) = 4072 Sum = 4715.067691991421158 Averaged sum = 0.4710827946839265819 logp*logq = 38.61901591393909366 -------------- ************************************* p = 491; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68349156094070822.18 -------------- Searches starting with [491,521]-exponents: u = 1, v = 104 n_start has 286 digits starting right neighbors generation We generated 1299 left neighbors We generated 8711 right neighbors We generated 10009 non-negative rho_i D1(491,521) = 0.5463171926895223375 D2(491,521) = 0.003841538049958269557 C1(491,521) = 0.7604313182809725568 C2(491,521) = 1.313150357511571124 C3(491,521) = 4.002856254117411788 C4(491,521) = 4168 Sum = 4151.515245990397516 Averaged sum = 0.4147782241972622156 logp*logq = 38.76340561117297736 -------------- ************************************* p = 491; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 69991262340132212.47 -------------- Searches starting with [491,523]-exponents: u = 1, v = 98 n_start has 270 digits starting right neighbors generation We generated 1133 left neighbors We generated 8877 right neighbors We generated 10009 non-negative rho_i D1(491,523) = 0.7333890421210695201 D2(491,523) = 0.01719414562646203623 C1(491,523) = 1.024499617145350844 C2(491,523) = 1.338447236856872345 C3(491,523) = 6.479622831289204805 C4(491,523) = 4184 Sum = 4085.669611947760133 Averaged sum = 0.4081995815713617877 logp*logq = 38.78714680545651935 -------------- ************************************* p = 491; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 86318551415512432.07 -------------- Searches starting with [491,541]-exponents: u = 1, v = 63 n_start has 175 digits starting right neighbors generation We generated 491 left neighbors We generated 9519 right neighbors We generated 10009 non-negative rho_i D1(491,541) = 0.7674819574061299714 D2(491,541) = 0.008359951392352333682 C1(491,541) = 1.102828985136281103 C2(491,541) = 1.431697206547493923 C3(491,541) = 7.474768579858308840 C4(491,541) = 4328 Sum = 4891.149007646523002 Averaged sum = 0.4886750931807895896 logp*logq = 38.99682093415710689 -------------- ************************************* p = 491; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 92424155333217500.27 -------------- Searches starting with [491,547]-exponents: u = 1, v = 57 n_start has 159 digits starting right neighbors generation We generated 443 left neighbors We generated 9567 right neighbors We generated 10009 non-negative rho_i D1(491,547) = 0.5428485998822138594 D2(491,547) = 0.001716147158636883968 C1(491,547) = 0.7867061940027342539 C2(491,547) = 1.453954577292199595 C3(491,547) = 4.199363230586728124 C4(491,547) = 4376 Sum = 4084.656966588202261 Averaged sum = 0.4080984080915378420 logp*logq = 39.06516476074888313 -------------- ************************************* p = 491; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 103404228790791366.2 -------------- Searches starting with [491,557]-exponents: u = 1, v = 49 n_start has 138 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(491,557) = 0.7140139651389264520 D2(491,557) = 0.01675201185779779374 C1(491,557) = 1.046926575575716500 C2(491,557) = 1.509562435746328197 C3(491,557) = 6.750175662202008427 C4(491,557) = 4456 Sum = 3072.068729600421701 Averaged sum = 0.3069306353881927966 logp*logq = 39.17742225354517318 -------------- ************************************* p = 491; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 110502369764028820.7 -------------- Searches starting with [491,563]-exponents: u = 1, v = 45 n_start has 127 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(491,563) = 0.5751589946479836597 D2(491,563) = 0.04078554540687294306 C1(491,563) = 0.7877603755507650478 C2(491,563) = 1.554030838513920650 C3(491,563) = 4.207445540022999664 C4(491,563) = 4504 Sum = 3881.810466460024071 Averaged sum = 0.3878319978479392618 logp*logq = 39.24381336146684940 -------------- ************************************* p = 491; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 118004678096093076.5 -------------- Searches starting with [491,569]-exponents: u = 1, v = 42 n_start has 119 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(491,569) = 0.9829656989741263118 D2(491,569) = 0.03819819488346244895 C1(491,569) = 1.459652066297419799 C2(491,569) = 1.573878056415731390 C3(491,569) = 14.33020794707998227 C4(491,569) = 4552 Sum = 2869.420242725102603 Averaged sum = 0.2866840086647120195 logp*logq = 39.30950066347265717 -------------- ************************************* p = 491; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120598422055262474.8 -------------- Searches starting with [491,571]-exponents: u = 1, v = 41 n_start has 116 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(491,571) = 0.8744282624889404929 D2(491,571) = 0.03125325680726910051 C1(491,571) = 1.301150952301993724 C2(491,571) = 1.574922462436796274 C3(491,571) = 10.73240413203420376 C4(491,571) = 4568 Sum = 2810.881632556951310 Averaged sum = 0.2808354113854482276 logp*logq = 39.33124259499928755 -------------- ************************************* p = 491; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128668326739921740.2 -------------- Searches starting with [491,577]-exponents: u = 1, v = 38 n_start has 108 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(491,577) = 0.5395418328071924845 D2(491,577) = 0.05849396119514946870 C1(491,577) = 0.7647673467189606046 C2(491,577) = 1.619497822716208523 C3(491,577) = 4.034639602535931053 C4(491,577) = 4616 Sum = 4191.914524730826743 Averaged sum = 0.4188145194056176185 logp*logq = 39.39601437774791884 -------------- ************************************* p = 491; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 143123617440494770.9 -------------- Searches starting with [491,587]-exponents: u = 1, v = 34 n_start has 97 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(491,587) = 0.6263982790525749880 D2(491,587) = 0.01258232005972745416 C1(491,587) = 0.8709057208040405066 C2(491,587) = 1.611875987178656339 C3(491,587) = 4.896451624028713439 C4(491,587) = 4696 Sum = 4198.678778359406482 Averaged sum = 0.4194903365330608934 logp*logq = 39.50248510936812980 -------------- ************************************* p = 491; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 152432815303147695.8 -------------- Searches starting with [491,593]-exponents: u = 1, v = 32 n_start has 92 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(491,593) = 0.6384698589036469152 D2(491,593) = 0.06634612022052349196 C1(491,593) = 0.9687121684134736004 C2(491,593) = 1.677068691281178590 C3(491,593) = 5.852724962603159588 C4(491,593) = 4744 Sum = 3993.536480474968932 Averaged sum = 0.3989945529498420354 logp*logq = 39.56550033849591892 -------------- ************************************* p = 491; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 162244552524562359.0 -------------- Searches starting with [491,599]-exponents: u = 1, v = 31 n_start has 89 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(491,599) = 1.200315532151971983 D2(491,599) = 0.02534902475785610023 C1(491,599) = 1.616328286856219012 C2(491,599) = 1.658944278963176522 C3(491,599) = 19.07051369155485675 C4(491,599) = 4792 Sum = 3842.068692519386184 Averaged sum = 0.3838613939973410114 logp*logq = 39.62788117535227733 -------------- ************************************* p = 491; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 165630534714412099.1 -------------- Searches starting with [491,601]-exponents: u = 1, v = 30 n_start has 87 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(491,601) = 0.7460983559937067192 D2(491,601) = 0.06613847611812882185 C1(491,601) = 1.044934979981762686 C2(491,601) = 1.700212134493453512 C3(491,601) = 6.725699310733392755 C4(491,601) = 4808 Sum = 4394.675228617702570 Averaged sum = 0.4390723577398044330 logp*logq = 39.64853600823645183 -------------- ************************************* p = 491; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 176146176787617698.3 -------------- Searches starting with [491,607]-exponents: u = 1, v = 29 n_start has 84 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(491,607) = 0.5870663397052687932 D2(491,607) = 0.004286548958008287862 C1(491,607) = 0.8004885102224746581 C2(491,607) = 1.663478204908044530 C3(491,607) = 4.306267460772403865 C4(491,607) = 4856 Sum = 3974.455445208574870 Averaged sum = 0.3970881651722025048 logp*logq = 39.71009059516274612 -------------- ************************************* p = 491; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187216054655267401.3 -------------- Searches starting with [491,613]-exponents: u = 1, v = 27 n_start has 78 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(491,613) = 0.7794129213476565708 D2(491,613) = 0.01802678213509160871 C1(491,613) = 1.201600404254552371 C2(491,613) = 1.691469246305749013 C3(491,613) = 8.950324763072424686 C4(491,613) = 4904 Sum = 4112.031031088169646 Averaged sum = 0.4108333530910350331 logp*logq = 39.77103971732419140 -------------- ************************************* p = 491; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 194915384766453584.6 -------------- Searches starting with [491,617]-exponents: u = 1, v = 27 n_start has 79 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(491,617) = 0.7868635690869812203 D2(491,617) = 0.09237701516310544284 C1(491,617) = 1.051855072308128538 C2(491,617) = 1.766766339840621692 C3(491,617) = 6.811129642488314737 C4(491,617) = 4936 Sum = 3542.499847096164320 Averaged sum = 0.3539314464078493675 logp*logq = 39.81134193502745358 -------------- ************************************* p = 491; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 198863522897522065.8 -------------- Searches starting with [491,619]-exponents: u = 1, v = 26 n_start has 76 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(491,619) = 0.9536648973108728120 D2(491,619) = 0.02312767524240029490 C1(491,619) = 1.323014159057745095 C2(491,619) = 1.711557228454218531 C3(491,619) = 11.16903865241425104 C4(491,619) = 4952 Sum = 4426.008419061349827 Averaged sum = 0.4422028593327355207 logp*logq = 39.83139516977146097 -------------- ************************************* p = 491; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 223988375882761210.8 -------------- Searches starting with [491,631]-exponents: u = 1, v = 24 n_start has 70 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(491,631) = 0.5923997926044411725 D2(491,631) = 0.006372047787716645213 C1(491,631) = 0.8411531299238963544 C2(491,631) = 1.727311588362537922 C3(491,631) = 4.637812377205409498 C4(491,631) = 5048 Sum = 4015.699313955007924 Averaged sum = 0.4012088434364080251 logp*logq = 39.95037055203868675 -------------- ************************************* p = 491; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 246910156400212996.2 -------------- Searches starting with [491,641]-exponents: u = 1, v = 23 n_start has 68 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(491,641) = 0.7827293692803086432 D2(491,641) = 0.04072201212848783409 C1(491,641) = 1.094810127492257344 C2(491,641) = 1.780312929724100084 C3(491,641) = 7.366236753510692793 C4(491,641) = 5128 Sum = 4142.899030077935602 Averaged sum = 0.4139173773681622142 logp*logq = 40.04780092609909528 -------------- ************************************* p = 491; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 251722706609257743.0 -------------- Searches starting with [491,643]-exponents: u = 1, v = 22 n_start has 65 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(491,643) = 1.000965758403052287 D2(491,643) = 0.07158768495784488879 C1(491,643) = 1.575448513249445524 C2(491,643) = 1.811642238380020500 C3(491,643) = 17.70026563019998990 C4(491,643) = 5144 Sum = 4562.891263676489697 Averaged sum = 0.4558788354157747724 logp*logq = 40.06710450597171625 -------------- ************************************* p = 491; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 261584088695037216.2 -------------- Searches starting with [491,647]-exponents: u = 1, v = 22 n_start has 65 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(491,647) = 0.6650555285865667497 D2(491,647) = 0.006109774423553641536 C1(491,647) = 0.9801200876905603596 C2(491,647) = 1.764553404081807978 C3(491,647) = 5.975782937323573995 C4(491,647) = 5176 Sum = 3779.231601443736955 Averaged sum = 0.3775833351427452248 logp*logq = 40.10553218961273003 -------------- ************************************* p = 491; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 276982449961795970.2 -------------- Searches starting with [491,653]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(491,653) = 0.6097468516429379505 D2(491,653) = 0.09222079360535841760 C1(491,653) = 0.8562992831278732544 C2(491,653) = 1.852046778066399218 C3(491,653) = 4.767723791763366555 C4(491,653) = 5224 Sum = 4218.030071597338943 Averaged sum = 0.4214237258065080370 logp*logq = 40.16273054155220742 -------------- ************************************* p = 491; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 293133851451786041.2 -------------- Searches starting with [491,659]-exponents: u = 1, v = 21 n_start has 62 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(491,659) = 0.8324619464318286442 D2(491,659) = 0.03832418141925872881 C1(491,659) = 1.323703991495889204 C2(491,659) = 1.818282218671208066 C3(491,659) = 11.18310080098392498 C4(491,659) = 5272 Sum = 2463.197308674171735 Averaged sum = 0.2460982424492128819 logp*logq = 40.21940573050575615 -------------- ************************************* p = 491; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 298690061866529272.7 -------------- Searches starting with [491,661]-exponents: u = 1, v = 20 n_start has 60 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(491,661) = 0.6262743266315788295 D2(491,661) = 0.06563329369109155409 C1(491,661) = 0.8605855412238352899 C2(491,661) = 1.846048105112172132 C3(491,661) = 4.805144086159905567 C4(491,661) = 5288 Sum = 4044.073478546451580 Averaged sum = 0.4040437085169798761 logp*logq = 40.23818284829210110 -------------- ************************************* p = 491; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 333916083585778795.2 -------------- Searches starting with [491,673]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(491,673) = 0.7230420648182580834 D2(491,673) = 0.07979994305843738881 C1(491,673) = 1.042588500862904029 C2(491,673) = 1.883163553610146780 C3(491,673) = 6.696975363267632169 C4(491,673) = 5384 Sum = 4349.364602646604601 Averaged sum = 0.4345453694321715058 logp*logq = 40.34966610957046827 -------------- ************************************* p = 491; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 346405304925689284.6 -------------- Searches starting with [491,677]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(491,677) = 0.6869853367261179558 D2(491,677) = 0.1399213355779812496 C1(491,677) = 0.9398285435007676959 C2(491,677) = 1.944184349691567894 C3(491,677) = 5.552367044224088553 C4(491,677) = 5416 Sum = 3885.609365670762694 Averaged sum = 0.3882115461755183029 logp*logq = 40.38638588593230452 -------------- ************************************* p = 491; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365872295368995317.1 -------------- Searches starting with [491,683]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(491,683) = 0.5533150053497807145 D2(491,683) = 0.04844076588344463109 C1(491,683) = 0.7842934239137897285 C2(491,683) = 1.875959144348003534 C3(491,683) = 4.180923136724113171 C4(491,683) = 5464 Sum = 3872.370302848756726 Averaged sum = 0.3868888303375718579 logp*logq = 40.44106074766854631 -------------- ************************************* p = 491; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 393248498116470548.1 -------------- Searches starting with [491,691]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(491,691) = 0.6413077457829990801 D2(491,691) = 0.1312889381101228534 C1(491,691) = 1.038627810368634000 C2(491,691) = 1.391014352568275881 C3(491,691) = 6.648769389482803134 C4(491,691) = 5528 Sum = 3870.861537194389183 Averaged sum = 0.3867380894389438688 logp*logq = 40.51321811768467978 -------------- ************************************* p = 491; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 429865609603406083.8 -------------- Searches starting with [491,701]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(491,701) = 0.8452091654375895838 D2(491,701) = 0.09333103716660234132 C1(491,701) = 1.186145868527079667 C2(491,701) = 1.948692045607571030 C3(491,701) = 8.701549575552472850 C4(491,701) = 5608 Sum = 4375.009679345758006 Averaged sum = 0.4371075711205672900 logp*logq = 40.60224901894276757 -------------- ************************************* p = 491; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 461179638361578753.7 -------------- Searches starting with [491,709]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(491,709) = 0.6320923595075862833 D2(491,709) = 0.003444845466645680195 C1(491,709) = 1.030975664874125186 C2(491,709) = 1.886668580048998318 C3(491,709) = 6.556614953978080488 C4(491,709) = 5672 Sum = 4000.885228041177693 Averaged sum = 0.3997287669138952636 logp*logq = 40.67256403307161241 -------------- ************************************* p = 491; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 502991860764636495.6 -------------- Searches starting with [491,719]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(491,719) = 0.8347793127860259423 D2(491,719) = 0.1082517532042262918 C1(491,719) = 1.194386964610853232 C2(491,719) = 1.993651499872029552 C3(491,719) = 8.833335416064173392 C4(491,719) = 5752 Sum = 4010.883232244454060 Averaged sum = 0.4007276683229547467 logp*logq = 40.75935038349707207 -------------- ************************************* p = 491; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 538688986706348193.6 -------------- Searches starting with [491,727]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(491,727) = 0.5951498516457731610 D2(491,727) = 0.1394309192649364994 C1(491,727) = 0.8401472994927996754 C2(491,727) = 1.789196400792249449 C3(491,727) = 4.629311599671134793 C4(491,727) = 5816 Sum = 4192.867228118418823 Averaged sum = 0.4189097040781715279 logp*logq = 40.82791478018241120 -------------- ************************************* p = 491; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 566835053091597442.6 -------------- Searches starting with [491,733]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(491,733) = 0.6636267587100811960 D2(491,733) = 0.04988532869652306005 C1(491,733) = 1.009811914596900601 C2(491,733) = 1.967068957683258034 C3(491,733) = 6.308338265834584514 C4(491,733) = 5864 Sum = 3475.771956018552283 Averaged sum = 0.3472646574101860608 logp*logq = 40.87884474466040248 -------------- ************************************* p = 491; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 596204136711196412.8 -------------- Searches starting with [491,739]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(491,739) = 0.5923880134872792995 D2(491,739) = 0.1045514076487705862 C1(491,739) = 0.9821867437933880732 C2(491,739) = 1.433952999914932765 C3(491,739) = 5.998351341618087616 C4(491,739) = 5912 Sum = 3802.089452658219873 Averaged sum = 0.3798670649074053225 logp*logq = 40.92935951459284028 -------------- ************************************* p = 491; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 616483952350585736.5 -------------- Searches starting with [491,743]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(491,743) = 0.8803030165535314409 D2(491,743) = 0.09317384875361127269 C1(491,743) = 1.459419280605615302 C2(491,743) = 1.219291963781700930 C3(491,743) = 14.32412469794316149 C4(491,743) = 5944 Sum = 3390.331688565050556 Averaged sum = 0.3387283133744680343 logp*logq = 40.96280868692582220 -------------- ************************************* p = 491; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 658782723463450514.3 -------------- Searches starting with [491,751]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(491,751) = 0.5409981708059290684 D2(491,751) = 0.009621228642551211678 C1(491,751) = 0.7513378279231292118 C2(491,751) = 1.962560670145007655 C3(491,751) = 3.937011233601229449 C4(491,751) = 6008 Sum = 4080.442693820490622 Averaged sum = 0.4076773597582666222 logp*logq = 41.02917016861932298 -------------- ************************************* p = 491; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 692080728066088458.3 -------------- Searches starting with [491,757]-exponents: u = 1, v = 14 n_start has 43 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(491,757) = 0.6420483287736874632 D2(491,757) = 0.05993192105915553345 C1(491,757) = 0.9479219701689872892 C2(491,757) = 2.014130651707015791 C3(491,757) = 5.634940249930415196 C4(491,757) = 6056 Sum = 3411.817063768264803 Averaged sum = 0.3408749189497716858 logp*logq = 41.07847900277925756 -------------- ************************************* p = 491; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 715054322606193260.9 -------------- Searches starting with [491,761]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(491,761) = 0.7981209431315520056 D2(491,761) = 0.09057619719393124420 C1(491,761) = 1.110283940554679658 C2(491,761) = 1.410406477152352637 C3(491,761) = 7.577102088733046705 C4(491,761) = 6088 Sum = 4004.213589272573110 Averaged sum = 0.4000613037538788200 logp*logq = 41.11113491039168522 -------------- ************************************* p = 491; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 762924077997382239.5 -------------- Searches starting with [491,769]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(491,769) = 0.5960831124807666446 D2(491,769) = 0.1112080822022651564 C1(491,769) = 0.8486943361390710135 C2(491,769) = 1.816903007729761691 C3(491,769) = 4.702046129866940235 C4(491,769) = 6152 Sum = 3746.486640308318463 Averaged sum = 0.3743117834257486725 logp*logq = 41.17593491665364522 -------------- ************************************* p = 491; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 787848776860454201.7 -------------- Searches starting with [491,773]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(491,773) = 0.7157468815380281184 D2(491,773) = 0.1084071738430249298 C1(491,773) = 1.060736158982852672 C2(491,773) = 1.814991658917735510 C3(491,773) = 6.922360829313273460 C4(491,773) = 6184 Sum = 4012.325396761590206 Averaged sum = 0.4008717550965721057 logp*logq = 41.20808255881446202 -------------- ************************************* p = 491; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 880532975212680977.0 -------------- Searches starting with [491,787]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(491,787) = 0.6115360156906125833 D2(491,787) = 0.07746912217461960083 C1(491,787) = 1.034313923174101422 C2(491,787) = 1.416522318678558726 C3(491,787) = 6.596659327224416842 C4(491,787) = 6296 Sum = 3776.335834424713622 Averaged sum = 0.3772940188255283867 logp*logq = 41.31930377269955984 -------------- ************************************* p = 491; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 952191669588166173.6 -------------- Searches starting with [491,797]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(491,797) = 0.6436445319782646697 D2(491,797) = 0.09387277365354870150 C1(491,797) = 0.9209148179202000369 C2(491,797) = 1.832981597425391693 C3(491,797) = 5.364086854116696574 C4(491,797) = 6376 Sum = 4238.554167012424849 Averaged sum = 0.4234742898403861374 logp*logq = 41.39754274303817597 -------------- ************************************* p = 491; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.044577196199611885 E18 -------------- Searches starting with [491,809]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(491,809) = 0.6295747116660765646 D2(491,809) = 0.07957996186503085465 C1(491,809) = 0.9026846952667614718 C2(491,809) = 1.687188074748713699 C3(491,809) = 5.188656800746221080 C4(491,809) = 6472 Sum = 3901.168929208834525 Averaged sum = 0.3897661034277984339 logp*logq = 41.49014388050000098 -------------- ************************************* p = 491; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.060681977688005232 E18 -------------- Searches starting with [491,811]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(491,811) = 0.6916206102793647842 D2(491,811) = 0.007865210063293608903 C1(491,811) = 1.033602309057127240 C2(491,811) = 2.049314434009617096 C3(491,811) = 6.588102636871707844 C4(491,811) = 6488 Sum = 3835.117881754423356 Averaged sum = 0.3831669379313041618 logp*logq = 41.50544375031708039 -------------- ************************************* p = 491; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.144364936017370631 E18 -------------- Searches starting with [491,821]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(491,821) = 0.8157352740686859776 D2(491,821) = 0.05421668542045150655 C1(491,821) = 1.395894604583673989 C2(491,821) = 1.253564820079941914 C3(491,821) = 12.75696884771911867 C4(491,821) = 6568 Sum = 3785.292010904559782 Averaged sum = 0.3781888311424277932 logp*logq = 41.58138151599592574 -------------- ************************************* p = 491; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.161748683681617791 E18 -------------- Searches starting with [491,823]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(491,823) = 1.452710493074929750 D2(491,823) = 0.04988535422159210886 C1(491,823) = 2.485755642740576019 C2(491,823) = 1.158805897806221151 C3(491,823) = 93.12639340162089637 C4(491,823) = 6584 Sum = 4656.516299185350202 Averaged sum = 0.4652329202902737738 logp*logq = 41.59645802982724451 -------------- ************************************* p = 491; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.197181184067672486 E18 -------------- Searches starting with [491,827]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(491,827) = 0.6346149136452582483 D2(491,827) = 0.07659347025089626953 C1(491,827) = 1.085899503088161342 C2(491,827) = 1.852899974199149589 C3(491,827) = 7.247482719048568324 C4(491,827) = 6616 Sum = 4170.759636467509535 Averaged sum = 0.4167009328072244514 logp*logq = 41.62650145415001225 -------------- ************************************* p = 491; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.215234477635818897 E18 -------------- Searches starting with [491,829]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(491,829) = 0.7553449606950548194 D2(491,829) = 0.07539255327430432063 C1(491,829) = 1.072516344746357021 C2(491,829) = 1.852125558050648275 C3(491,829) = 7.072709483144174028 C4(491,829) = 6632 Sum = 4490.885695158969465 Averaged sum = 0.4486847532379827620 logp*logq = 41.64146871777448064 -------------- ************************************* p = 491; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.308963791392485165 E18 -------------- Searches starting with [491,839]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(491,839) = 0.6040692780544903822 D2(491,839) = 0.06949368946589384164 C1(491,839) = 0.8501547680191268360 C2(491,839) = 1.848343600672792993 C3(491,839) = 4.714588100453726001 C4(491,839) = 6712 Sum = 3906.059878653179942 Averaged sum = 0.3902547585825936599 logp*logq = 41.71576749916412058 -------------- ************************************* p = 491; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.450313578461246937 E18 -------------- Searches starting with [491,853]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(491,853) = 0.6339224907173957235 D2(491,853) = 0.009524536403850374247 C1(491,853) = 0.8799099356631033777 C2(491,853) = 2.105516668988936745 C3(491,853) = 4.977532332289301277 C4(491,853) = 6824 Sum = 4138.250129397179892 Averaged sum = 0.4134529053249255562 logp*logq = 41.81831146795202100 -------------- ************************************* p = 491; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.492972440474954272 E18 -------------- Searches starting with [491,857]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(491,857) = 1.096936980573988544 D2(491,857) = 0.03276856097859769225 C1(491,857) = 1.534294946230775813 C2(491,857) = 2.129526459098365456 C3(491,857) = 16.42026995874727221 C4(491,857) = 6856 Sum = 4180.336438846028090 Averaged sum = 0.4176577519078857118 logp*logq = 41.84730073312006206 -------------- ************************************* p = 491; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.514693323099564608 E18 -------------- Searches starting with [491,859]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(491,859) = 0.7205818226021767898 D2(491,859) = 0.04199370087076277117 C1(491,859) = 1.249630226441803622 C2(491,859) = 1.328655008597653510 C3(491,859) = 9.769790686638060008 C4(491,859) = 6872 Sum = 4094.833155830560721 Averaged sum = 0.4091151119822720273 logp*logq = 41.86174466536605782 -------------- ************************************* p = 491; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.558930859963093576 E18 -------------- Searches starting with [491,863]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(491,863) = 1.143129865597370148 D2(491,863) = 0.03673758844049946701 C1(491,863) = 1.982212083180238289 C2(491,863) = 1.139813083235018817 C3(491,863) = 37.17016685402481180 C4(491,863) = 6904 Sum = 3548.912909571426073 Averaged sum = 0.3545721759987437380 logp*logq = 41.89053191401971495 -------------- ************************************* p = 491; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.722394176372689637 E18 -------------- Searches starting with [491,877]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(491,877) = 0.6667199754705106070 D2(491,877) = 0.04949768174914492513 C1(491,877) = 1.008774828857466961 C2(491,877) = 1.871345601435045217 C3(491,877) = 6.296416571991970875 C4(491,877) = 7016 Sum = 3320.208229466348214 Averaged sum = 0.3317222729010238999 logp*logq = 41.99024695984312166 -------------- ************************************* p = 491; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.771653041627742178 E18 -------------- Searches starting with [491,881]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(491,881) = 1.032553717365146426 D2(491,881) = 0.04737374561088962859 C1(491,881) = 1.496383102732535755 C2(491,881) = 1.870038935063427939 C3(491,881) = 15.32317314567335956 C4(491,881) = 7048 Sum = 4527.779944995244619 Averaged sum = 0.4523708607248720770 logp*logq = 42.01844470646849222 -------------- ************************************* p = 491; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.796722069637289229 E18 -------------- Searches starting with [491,883]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(491,883) = 0.6556040924418250955 D2(491,883) = 0.04632002940003113747 C1(491,883) = 0.9130784534998289570 C2(491,883) = 1.869392437567433338 C3(491,883) = 5.287961489159800344 C4(491,883) = 7064 Sum = 4126.759508232377142 Averaged sum = 0.4123048764344467121 logp*logq = 42.03249560620299635 -------------- ************************************* p = 491; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.847753371104719792 E18 -------------- Searches starting with [491,887]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(491,887) = 0.7291498464265952554 D2(491,887) = 0.04068456423569443742 C1(491,887) = 1.153309942683238070 C2(491,887) = 1.718412454319206312 C3(491,887) = 8.195696458745598646 C4(491,887) = 7096 Sum = 3473.167184906934550 Averaged sum = 0.3470044145176275902 logp*logq = 42.06050218101169526 -------------- ************************************* p = 491; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.121525744361534842 E18 -------------- Searches starting with [491,907]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(491,907) = 0.6615872353089737480 D2(491,907) = 0.009812231281175226161 C1(491,907) = 1.165011361996615727 C2(491,907) = 2.169765274585560034 C3(491,907) = 8.372498091258281966 C4(491,907) = 7256 Sum = 3817.600145170967772 Averaged sum = 0.3814167394515903459 logp*logq = 42.19866719446012700 -------------- ************************************* p = 491; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.180169542220035073 E18 -------------- Searches starting with [491,911]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(491,911) = 1.105686841380291973 D2(491,911) = 0.01975020679797691667 C1(491,911) = 1.436895738688294546 C2(491,911) = 1.144397675519461999 C3(491,911) = 13.74757942430215860 C4(491,911) = 7288 Sum = 3173.383732254982572 Averaged sum = 0.3170530255025459659 logp*logq = 42.22593431933032770 -------------- ************************************* p = 491; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.301542502111837068 E18 -------------- Searches starting with [491,919]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(491,919) = 0.6147088349828426561 D2(491,919) = 0.02885908069362536771 C1(491,919) = 1.082291355652533102 C2(491,919) = 1.899837757504312624 C3(491,919) = 7.199942389460969373 C4(491,919) = 7352 Sum = 4184.571760161501856 Averaged sum = 0.4180809032032672451 logp*logq = 42.28011122513274166 -------------- ************************************* p = 491; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.461180934523918324 E18 -------------- Searches starting with [491,929]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(491,929) = 0.6949187261457314848 D2(491,929) = 0.02400158775577000447 C1(491,929) = 0.9884976677957427736 C2(491,929) = 1.896962428703003169 C3(491,929) = 6.067797119684118234 C4(491,929) = 7432 Sum = 4218.141253256739974 Averaged sum = 0.4214348339750964106 logp*logq = 42.34717296333222666 -------------- ************************************* p = 491; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.595483888239880059 E18 -------------- Searches starting with [491,937]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(491,937) = 0.8498508911135718212 D2(491,937) = 0.02019581926845111741 C1(491,937) = 1.148352885371013760 C2(491,937) = 1.894726804337364280 C3(491,937) = 8.121928636771013961 C4(491,937) = 7496 Sum = 3585.552598881635236 Averaged sum = 0.3582328503228729379 logp*logq = 42.40030464258400726 -------------- ************************************* p = 491; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.664906404488191622 E18 -------------- Searches starting with [491,941]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(491,941) = 0.6947557994333344334 D2(491,941) = 0.01831879769566935316 C1(491,941) = 1.111019608572746909 C2(491,941) = 1.893629741188547253 C3(491,941) = 7.587276175772496280 C4(491,941) = 7528 Sum = 3721.967161593212967 Averaged sum = 0.3718620403230305692 logp*logq = 42.42670061062680408 -------------- ************************************* p = 491; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.771956110639185865 E18 -------------- Searches starting with [491,947]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(491,947) = 0.6173732711861806681 D2(491,947) = 0.01425975047780351857 C1(491,947) = 0.8798362914600503367 C2(491,947) = 1.736726036387702982 C3(491,947) = 4.976863769020226381 C4(491,947) = 7576 Sum = 3775.003951269944195 Averaged sum = 0.3771609502717498447 logp*logq = 42.46608492199238742 -------------- ************************************* p = 491; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.882588902357761706 E18 -------------- Searches starting with [491,953]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(491,953) = 0.7369105326851607647 D2(491,953) = 0.01173847117712525858 C1(491,953) = 1.128335610733998582 C2(491,953) = 1.735328681897012823 C3(491,953) = 7.830736933990475279 C4(491,953) = 7624 Sum = 3587.237653808023034 Averaged sum = 0.3584012042969350619 logp*logq = 42.50522048867985672 -------------- ************************************* p = 491; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.155210541939919961 E18 -------------- Searches starting with [491,967]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(491,967) = 1.108921489110512938 D2(491,967) = 0.005010832395650967128 C1(491,967) = 1.583422459513075061 C2(491,967) = 1.451049444342340264 C3(491,967) = 17.95958454272739580 C4(491,967) = 7736 Sum = 3988.210061109894961 Averaged sum = 0.3984623899600254732 logp*logq = 42.59558690044549400 -------------- ************************************* p = 491; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.236957934359284499 E18 -------------- Searches starting with [491,971]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(491,971) = 0.6767084694775677443 D2(491,971) = 0.003431945501968756355 C1(491,971) = 1.212981790661400642 C2(491,971) = 1.360239219395005491 C3(491,971) = 9.138069869063558876 C4(491,971) = 7768 Sum = 3783.998077838914879 Averaged sum = 0.3780595541851248755 logp*logq = 42.62116565349740390 -------------- ************************************* p = 491; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.362905101781262585 E18 -------------- Searches starting with [491,977]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 29 left neighbors We generated 9981 right neighbors We generated 10009 non-negative rho_i D1(491,977) = 1.333866537090677074 D2(491,977) = 0.0005207615178833327612 C1(491,977) = 2.390509040087975457 C2(491,977) = 2.236632496683530973 C3(491,977) = 78.27514816534078934 C4(491,977) = 7816 Sum = 730.6777268982527112 Averaged sum = 0.07300207082608179750 logp*logq = 42.65933688793025998 -------------- ************************************* p = 491; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.492936357231738899 E18 -------------- Searches starting with [491,983]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(491,983) = 0.6333221579914282618 D2(491,983) = 0.01522750949951771982 C1(491,983) = 1.041044423375452784 C2(491,983) = 1.345483255036450889 C3(491,983) = 6.678140806894144447 C4(491,983) = 7864 Sum = 4184.489471797802326 Averaged sum = 0.4180726817661906610 logp*logq = 42.69727441946327831 -------------- ************************************* p = 491; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.672848399500578720 E18 -------------- Searches starting with [491,991]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(491,991) = 0.5349721959742621029 D2(491,991) = 0.04171667368684398354 C1(491,991) = 0.7742774740797971900 C2(491,991) = 1.572570495031714410 C3(491,991) = 4.105235950892609297 C4(491,991) = 7928 Sum = 4127.965210521451089 Averaged sum = 0.4124253382477221589 logp*logq = 42.74749916557976463 -------------- ************************************* p = 491; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.812826160318933539 E18 -------------- Searches starting with [491,997]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(491,997) = 0.9666785297175184413 D2(491,997) = 0.06595849902559218765 C1(491,997) = 1.447958284588251329 C2(491,997) = 1.720188890545900765 C3(491,997) = 14.02779306413329146 C4(491,997) = 7976 Sum = 4683.181428727436672 Averaged sum = 0.4678970355407569859 logp*logq = 42.78490236241472771 -------------- ************************************* p = 499; q = 503; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 60782384296298501.96 -------------- Searches starting with [499,503]-exponents: u = 1, v = 778 n_start has 2105 digits --- performed 5000 steps in the continued fraction search [499,503]-exponents: u = 347, v = 426 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(499,503) = 0.8145367362693736039 D2(499,503) = 0.2805541329639333175 C1(499,503) = 1.037999408463045719 C2(499,503) = 1.260446363793351710 C3(499,503) = 6.659134002203094606 C4(499,503) = 4024 Sum = 5690.584687153182073 Averaged sum = 0.5691153802533435416 logp*logq = 38.64607640993361617 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(499,503) = 0.8145367362693736039 D2(499,503) = 0.2805541329639333175 C1(499,503) = 1.037999408463045719 C2(499,503) = 1.260446363793351710 C3(499,503) = 6.659134002203094606 C4(499,503) = 4024 Sum = 5690.584687153182073 Averaged sum = 0.5691153802533435416 logp*logq = 38.64607640993361617 -------------- ************************************* p = 499; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 65429167427123162.63 -------------- Searches starting with [499,509]-exponents: u = 1, v = 313 n_start has 850 digits --- performed 5000 steps in the continued fraction search [499,509]-exponents: u = 112, v = 186 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(499,509) = 0.8146807201003874710 D2(499,509) = 0.01547637078142179032 C1(499,509) = 1.073504594572945367 C2(499,509) = 1.128458655016839601 C3(499,509) = 7.105310952498410399 C4(499,509) = 4072 Sum = 5184.330384243289412 Averaged sum = 0.5184848869130202431 logp*logq = 38.71974453907623948 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(499,509) = 0.8146807201003874710 D2(499,509) = 0.01547637078142179032 C1(499,509) = 1.073504594572945367 C2(499,509) = 1.128458655016839601 C3(499,509) = 7.105310952498410399 C4(499,509) = 4072 Sum = 5184.330384243289412 Averaged sum = 0.5184848869130202431 logp*logq = 38.71974453907623948 -------------- ************************************* p = 499; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 75621032183846055.26 -------------- Searches starting with [499,521]-exponents: u = 1, v = 143 n_start has 392 digits starting right neighbors generation We generated 2328 left neighbors We generated 7682 right neighbors We generated 10009 non-negative rho_i D1(499,521) = 1.324409739737253285 D2(499,521) = 0.0008886609271405567681 C1(499,521) = 1.810499831923988775 C2(499,521) = 1.247639471774157699 C3(499,521) = 27.30373844617262111 C4(499,521) = 4168 Sum = 5432.849009191818892 Averaged sum = 0.5427963841734258060 logp*logq = 38.86451084289478472 -------------- ************************************* p = 499; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 77442642501082886.27 -------------- Searches starting with [499,523]-exponents: u = 1, v = 132 n_start has 362 digits starting right neighbors generation We generated 2023 left neighbors We generated 7987 right neighbors We generated 10009 non-negative rho_i D1(499,523) = 0.6593595070334887865 D2(499,523) = 0.007243405973164478889 C1(499,523) = 0.9056357340005457829 C2(499,523) = 1.269813899526882011 C3(499,523) = 5.228981638951661328 C4(499,523) = 4184 Sum = 4431.944343214988695 Averaged sum = 0.4427959179953030967 logp*logq = 38.88831396050295580 -------------- ************************************* p = 499; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 95560406848854582.08 -------------- Searches starting with [499,541]-exponents: u = 1, v = 76 n_start has 211 digits starting right neighbors generation We generated 665 left neighbors We generated 9345 right neighbors We generated 10009 non-negative rho_i D1(499,541) = 0.7438211992803019865 D2(499,541) = 0.01921500900443226745 C1(499,541) = 1.055673409085526899 C2(499,541) = 1.397778893788532655 C3(499,541) = 6.877618410449372983 C4(499,541) = 4328 Sum = 4853.081590008143787 Averaged sum = 0.4848717744038509128 logp*logq = 39.09853497488177773 -------------- ************************************* p = 499; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 102337959564656812.0 -------------- Searches starting with [499,547]-exponents: u = 1, v = 67 n_start has 187 digits starting right neighbors generation We generated 523 left neighbors We generated 9487 right neighbors We generated 10009 non-negative rho_i D1(499,547) = 0.5616606075338328452 D2(499,547) = 0.02913240812956666885 C1(499,547) = 0.8039592589376052912 C2(499,547) = 1.437685510751393383 C3(499,547) = 4.342700025217342107 C4(499,547) = 4376 Sum = 4446.086434028439282 Averaged sum = 0.4442088554329542693 logp*logq = 39.16705706028016215 -------------- ************************************* p = 499; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 114529330922114962.7 -------------- Searches starting with [499,557]-exponents: u = 1, v = 56 n_start has 157 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(499,557) = 1.319814061393283645 D2(499,557) = 0.03211690447172248742 C1(499,557) = 1.827881726455637029 C2(499,557) = 1.486770396059661403 C3(499,557) = 28.18452479839834816 C4(499,557) = 4456 Sum = 5139.326011092277865 Averaged sum = 0.5134704776793164018 logp*logq = 39.27960735035890786 -------------- ************************************* p = 499; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 122412345750793340.8 -------------- Searches starting with [499,563]-exponents: u = 1, v = 51 n_start has 143 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(499,563) = 0.8455719336456442395 D2(499,563) = 0.01129152833528124677 C1(499,563) = 1.177440936168074976 C2(499,563) = 1.493850529930559299 C3(499,563) = 8.590789298214324133 C4(499,563) = 4504 Sum = 4512.208672224391936 Averaged sum = 0.4508151336021972161 logp*logq = 39.34617162387955183 -------------- ************************************* p = 499; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 130745653669799317.8 -------------- Searches starting with [499,569]-exponents: u = 1, v = 47 n_start has 133 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(499,569) = 0.8470395474369742859 D2(499,569) = 0.04790185770059808182 C1(499,569) = 1.157923346721879300 C2(499,569) = 1.549735769946143126 C3(499,569) = 8.289918763770564266 C4(499,569) = 4552 Sum = 4038.783722400843348 Averaged sum = 0.4035152085523871863 logp*logq = 39.41203025577203404 -------------- ************************************* p = 499; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 133627021996788122.2 -------------- Searches starting with [499,571]-exponents: u = 1, v = 46 n_start has 130 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(499,571) = 0.7696608157300599709 D2(499,571) = 0.002398945310412624007 C1(499,571) = 1.134806076333983471 C2(499,571) = 1.517575700811965843 C3(499,571) = 7.947159865435848470 C4(499,571) = 4568 Sum = 2974.814630467678374 Averaged sum = 0.2972139704733418297 logp*logq = 39.43382889601634339 -------------- ************************************* p = 499; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 142592829944817403.1 -------------- Searches starting with [499,577]-exponents: u = 1, v = 42 n_start has 119 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(499,577) = 0.6075248533606266194 D2(499,577) = 0.05696484263114003414 C1(499,577) = 0.9007694153331761965 C2(499,577) = 1.587329461952801273 C3(499,577) = 5.182708630141264960 C4(499,577) = 4616 Sum = 4120.368173052748262 Averaged sum = 0.4116663176194173506 logp*logq = 39.49876962073487084 -------------- ************************************* p = 499; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 158656527517456572.1 -------------- Searches starting with [499,587]-exponents: u = 1, v = 38 n_start has 108 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(499,587) = 1.152192505559408807 D2(499,587) = 0.001034282221518603862 C1(499,587) = 1.568424738273549884 C2(499,587) = 1.572862068448228218 C3(499,587) = 17.54649112679875872 C4(499,587) = 4696 Sum = 4051.759419804657509 Averaged sum = 0.4048116115300886711 logp*logq = 39.60551805623125899 -------------- ************************************* p = 499; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 169003808616431308.8 -------------- Searches starting with [499,593]-exponents: u = 1, v = 35 n_start has 100 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(499,593) = 1.372809725602566061 D2(499,593) = 0.001267915169320780602 C1(499,593) = 2.067244629189272341 C2(499,593) = 1.592449289522857836 C3(499,593) = 43.64063293687055351 C4(499,593) = 4744 Sum = 6638.236163372862738 Averaged sum = 0.6632267122962196761 logp*logq = 39.66869764577172381 -------------- ************************************* p = 499; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 179911451451085937.0 -------------- Searches starting with [499,599]-exponents: u = 1, v = 34 n_start has 98 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(499,599) = 1.127005838685011606 D2(499,599) = 0.05852860679317497139 C1(499,599) = 1.706013292532141652 C2(499,599) = 1.660689826374222179 C3(499,599) = 22.55982253184280464 C4(499,599) = 4792 Sum = 2556.737981565617453 Averaged sum = 0.2554438986477787444 logp*logq = 39.73124118837763960 -------------- ************************************* p = 499; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 183676030074548647.7 -------------- Searches starting with [499,601]-exponents: u = 1, v = 33 n_start has 95 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(499,601) = 0.5453262218059368885 D2(499,601) = 0.02363787423462972899 C1(499,601) = 0.7805782696553737003 C2(499,601) = 1.636267073908688034 C3(499,601) = 4.161139778357554016 C4(499,601) = 4808 Sum = 3957.093716753387743 Averaged sum = 0.3953535534772092859 logp*logq = 39.75194989453822012 -------------- ************************************* p = 499; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 195368718498351155.8 -------------- Searches starting with [499,607]-exponents: u = 1, v = 31 n_start has 89 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(499,607) = 0.5723777296887377119 D2(499,607) = 0.06816202706565272829 C1(499,607) = 0.8004062623019985083 C2(499,607) = 1.692677102058826851 C3(499,607) = 4.314607877098594689 C4(499,607) = 4856 Sum = 4146.079637202209236 Averaged sum = 0.4142351520833459123 logp*logq = 39.81366503213534942 -------------- ************************************* p = 499; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 207679646389525890.5 -------------- Searches starting with [499,613]-exponents: u = 1, v = 30 n_start has 87 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(499,613) = 0.7306606248968091706 D2(499,613) = 0.01423983644373997955 C1(499,613) = 0.9949474530825178664 C2(499,613) = 1.662698815140374378 C3(499,613) = 6.155534436670846360 C4(499,613) = 4904 Sum = 3853.635103665745264 Averaged sum = 0.3850169950710106168 logp*logq = 39.87477312575511252 -------------- ************************************* p = 499; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 216243279399794946.1 -------------- Searches starting with [499,617]-exponents: u = 1, v = 29 n_start has 84 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(499,617) = 0.6264679648319001305 D2(499,617) = 0.09318035621436009541 C1(499,617) = 0.8650728641559590597 C2(499,617) = 1.742576969873619674 C3(499,617) = 4.855563679970687084 C4(499,617) = 4936 Sum = 4120.211845902173411 Averaged sum = 0.4116506989611523040 logp*logq = 39.91518046231972203 -------------- ************************************* p = 499; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 220634967756998869.5 -------------- Searches starting with [499,619]-exponents: u = 1, v = 28 n_start has 81 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(499,619) = 0.6277742750669897898 D2(499,619) = 0.03412062807511416869 C1(499,619) = 0.9649144351766407097 C2(499,619) = 1.696148075867211223 C3(499,619) = 5.826950898703103843 C4(499,619) = 4952 Sum = 4026.829423309387562 Averaged sum = 0.4023208535627322971 logp*logq = 39.93528600121279985 -------------- ************************************* p = 499; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 248587602331497695.6 -------------- Searches starting with [499,631]-exponents: u = 1, v = 26 n_start has 76 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(499,631) = 0.7320452123922359331 D2(499,631) = 0.04783639310185434566 C1(499,631) = 1.065718362494880725 C2(499,631) = 1.739075467833361498 C3(499,631) = 7.004973147553295680 C4(499,631) = 5048 Sum = 4101.996190539834202 Averaged sum = 0.4098307713597596365 logp*logq = 40.05457170279804375 -------------- ************************************* p = 499; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 274096382689866356.0 -------------- Searches starting with [499,641]-exponents: u = 1, v = 24 n_start has 71 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(499,641) = 0.6801744653266506239 D2(499,641) = 0.1114020381906158067 C1(499,641) = 0.9358215254833835272 C2(499,641) = 1.819352296751772968 C3(499,641) = 5.525387170059759449 C4(499,641) = 5128 Sum = 4088.821976482776014 Averaged sum = 0.4085145345671671509 logp*logq = 40.15225620108698189 -------------- ************************************* p = 499; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 279452892094368363.8 -------------- Searches starting with [499,643]-exponents: u = 1, v = 24 n_start has 71 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(499,643) = 1.095502334871706488 D2(499,643) = 0.02428662347712195790 C1(499,643) = 1.604432861815231526 C2(499,643) = 1.748013317166160571 C3(499,643) = 18.73935259114016997 C4(499,643) = 5144 Sum = 4954.767491834913725 Averaged sum = 0.4950312210845153087 logp*logq = 40.17161012981015689 -------------- ************************************* p = 499; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 290429728366836140.5 -------------- Searches starting with [499,647]-exponents: u = 1, v = 23 n_start has 68 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(499,647) = 0.7620930820801135669 D2(499,647) = 0.08813468565432534884 C1(499,647) = 1.194549757973547733 C2(499,647) = 1.812778812219715499 C3(499,647) = 8.863495894142124278 C4(499,647) = 5176 Sum = 3818.378146073777839 Averaged sum = 0.3814944695847515076 logp*logq = 40.21013804303104888 -------------- ************************************* p = 499; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307571994566937478.0 -------------- Searches starting with [499,653]-exponents: u = 1, v = 23 n_start has 68 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(499,653) = 0.7245688158252620049 D2(499,653) = 0.05637233762246731770 C1(499,653) = 1.141036474170529482 C2(499,653) = 1.798723520404369209 C3(499,653) = 8.038117694723794680 C4(499,653) = 5224 Sum = 3358.149492972120376 Averaged sum = 0.3355129876083645096 logp*logq = 40.26748558342638474 -------------- ************************************* p = 499; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 325555254971076839.5 -------------- Searches starting with [499,659]-exponents: u = 1, v = 22 n_start has 65 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(499,659) = 0.9106223937685065930 D2(499,659) = 0.01802303719934762052 C1(499,659) = 1.302132455650531365 C2(499,659) = 1.779218658198848963 C3(499,659) = 10.78816512614570722 C4(499,659) = 5272 Sum = 4821.480034535818707 Averaged sum = 0.4817144604391866027 logp*logq = 40.32430859628811903 -------------- ************************************* p = 499; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 331742244322851309.0 -------------- Searches starting with [499,661]-exponents: u = 1, v = 22 n_start has 65 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(499,661) = 0.7225321971173504394 D2(499,661) = 0.04499124802116227181 C1(499,661) = 1.143468643814130350 C2(499,661) = 1.806640628349401564 C3(499,661) = 8.073906902045332957 C4(499,661) = 5288 Sum = 3444.731946535211238 Averaged sum = 0.3441634475507254709 logp*logq = 40.34313468977241733 -------------- ************************************* p = 499; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 370974131596561496.9 -------------- Searches starting with [499,673]-exponents: u = 1, v = 20 n_start has 60 digits **************************************************** Computing .... elapsed time = 45 minutes **************************************************** starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(499,673) = 0.6057703278785299866 D2(499,673) = 0.07487052321318459486 C1(499,673) = 0.8535358986871213592 C2(499,673) = 1.857997122897997385 C3(499,673) = 4.754312030704417055 C4(499,673) = 5384 Sum = 3987.800548877497594 Averaged sum = 0.3984214755597459880 logp*logq = 40.45490872893231830 -------------- ************************************* p = 499; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 384886268937034370.1 -------------- Searches starting with [499,677]-exponents: u = 1, v = 20 n_start has 60 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(499,677) = 0.5900115891128425296 D2(499,677) = 0.1371229677781835574 C1(499,677) = 0.8491490599582347233 C2(499,677) = 1.921142699925291009 C3(499,677) = 4.716368360246576303 C4(499,677) = 5416 Sum = 4089.557664466054607 Averaged sum = 0.4085880372131136584 logp*logq = 40.49172428019935964 -------------- ************************************* p = 499; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 406573755774761189.5 -------------- Searches starting with [499,683]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(499,683) = 0.6831188032548168234 D2(499,683) = 0.05889615494654440353 C1(499,683) = 0.9517808283023264532 C2(499,683) = 1.864498303276013068 C3(499,683) = 5.688828115366677183 C4(499,683) = 5464 Sum = 4235.201244863575347 Averaged sum = 0.4231392991171520978 logp*logq = 40.54654174846044214 -------------- ************************************* p = 499; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 437077676664407104.0 -------------- Searches starting with [499,691]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(499,691) = 0.7532308432203711035 D2(499,691) = 0.006250586634882338570 C1(499,691) = 1.004076488381901210 C2(499,691) = 1.835549338734748734 C3(499,691) = 6.259038024680081536 C4(499,691) = 5528 Sum = 3577.138270923936081 Averaged sum = 0.3573921741356715037 logp*logq = 40.61888732401478598 -------------- ************************************* p = 499; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 477886877503134441.2 -------------- Searches starting with [499,701]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(499,701) = 0.5858613475035096877 D2(499,701) = 0.1292349384300298615 C1(499,701) = 0.8040189315869095495 C2(499,701) = 1.960730235266046807 C3(499,701) = 4.343173391836569664 C4(499,701) = 5608 Sum = 4134.354566058719784 Averaged sum = 0.4130636992765231076 logp*logq = 40.70815044145099785 -------------- ************************************* p = 499; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 512793105577851599.8 -------------- Searches starting with [499,709]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(499,709) = 0.6535201121446799987 D2(499,709) = 0.04561760420035906650 C1(499,709) = 0.9500719604290251444 C2(499,709) = 1.902727003435979106 C3(499,709) = 5.671098778865701824 C4(499,709) = 5672 Sum = 3759.484889012078451 Averaged sum = 0.3756104395056527576 logp*logq = 40.77864885576578946 -------------- ************************************* p = 499; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 559411407573179349.1 -------------- Searches starting with [499,719]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(499,719) = 1.213155030647606110 D2(499,719) = 0.1001707871594571816 C1(499,719) = 1.979820313310910446 C2(499,719) = 1.159061580754801463 C3(499,719) = 37.19971561715169665 C4(499,719) = 5752 Sum = 1520.248947514400081 Averaged sum = 0.1518881953756019663 logp*logq = 40.86566156798613556 -------------- ************************************* p = 499; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 599219756950149859.2 -------------- Searches starting with [499,727]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(499,727) = 0.9311553339881199831 D2(499,727) = 0.05849381965704859352 C1(499,727) = 1.409545839008741255 C2(499,727) = 1.945612585034438055 C3(499,727) = 13.12670755945751758 C4(499,727) = 5816 Sum = 4059.842594499402069 Averaged sum = 0.4056192021679890168 logp*logq = 40.93440479878332421 -------------- ************************************* p = 499; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 630612271646038187.8 -------------- Searches starting with [499,733]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(499,733) = 0.5974672447715241583 D2(499,733) = 0.1147982685834460410 C1(499,733) = 0.9827332662820001549 C2(499,733) = 1.430098609356954357 C3(499,733) = 6.019723875972176604 C4(499,733) = 5864 Sum = 3833.270512997357340 Averaged sum = 0.3829823671692833789 logp*logq = 40.98546760210194219 -------------- ************************************* p = 499; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 663373203502589163.6 -------------- Searches starting with [499,739]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(499,739) = 0.5616616717929029833 D2(499,739) = 0.1392406785764209260 C1(499,739) = 0.9237665030690090337 C2(499,739) = 1.791321621024994078 C3(499,739) = 5.405050814752498495 C4(499,739) = 5912 Sum = 4137.125127619491446 Averaged sum = 0.4133405063062734984 logp*logq = 41.03611412793763120 -------------- ************************************* p = 499; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 685997614053229047.9 -------------- Searches starting with [499,743]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(499,743) = 0.7070216051867722996 D2(499,743) = 0.02444055307471029634 C1(499,743) = 0.9992789594305561374 C2(499,743) = 1.943748095845973064 C3(499,743) = 6.204429239382722538 C4(499,743) = 5944 Sum = 4295.773550409233570 Averaged sum = 0.4291910830661638095 logp*logq = 41.06965054457400461 -------------- ************************************* p = 499; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 733192817400622030.5 -------------- Searches starting with [499,751]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(499,751) = 0.8291493364218073223 D2(499,751) = 0.1015337639027751617 C1(499,751) = 1.173790480405699313 C2(499,751) = 2.022519856228647700 C3(499,751) = 8.533697744013377615 C4(499,751) = 6008 Sum = 4006.201734090878163 Averaged sum = 0.4002599394635706028 logp*logq = 41.13618511459342095 -------------- ************************************* p = 499; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 770350930058094401.7 -------------- Searches starting with [499,757]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(499,757) = 0.7025515748329505846 D2(499,757) = 0.1114550815641375511 C1(499,757) = 1.165392303718005780 C2(499,757) = 1.359231919449160752 C3(499,757) = 8.403790220171219271 C4(499,757) = 6056 Sum = 4054.903124106649621 Averaged sum = 0.4051256992813117815 logp*logq = 41.18562255925661419 -------------- ************************************* p = 499; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 795990496909482306.0 -------------- Searches starting with [499,761]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(499,761) = 0.6022589183116504228 D2(499,761) = 0.1241390771958962324 C1(499,761) = 0.8362947928787013372 C2(499,761) = 1.803204273839015508 C3(499,761) = 4.606920986473380052 C4(499,761) = 6088 Sum = 4132.889537420714898 Averaged sum = 0.4129173281467394243 logp*logq = 41.21836364212787640 -------------- ************************************* p = 499; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 849422128164155852.5 -------------- Searches starting with [499,769]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(499,769) = 0.5613347792932015793 D2(499,769) = 0.04877767841769748926 C1(499,769) = 0.8291481977143759303 C2(499,769) = 2.005465180379696851 C3(499,769) = 4.547173830866354905 C4(499,769) = 6152 Sum = 3984.965366237964216 Averaged sum = 0.3981382122327869133 logp*logq = 41.28333266397413279 -------------- ************************************* p = 499; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 877246268474891845.3 -------------- Searches starting with [499,773]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(499,773) = 0.7207838122185629387 D2(499,773) = 0.08423431997897064282 C1(499,773) = 1.024789977079499343 C2(499,773) = 2.041742749139579686 C3(499,773) = 6.500384682190293463 C4(499,773) = 6184 Sum = 3820.908120828239393 Averaged sum = 0.3817472395672134472 logp*logq = 41.31556415570282765 -------------- ************************************* p = 499; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 980731840581588154.1 -------------- Searches starting with [499,787]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(499,787) = 0.5582781429124144918 D2(499,787) = 0.1073953402400227829 C1(499,787) = 0.8277519406864456329 C2(499,787) = 1.816603867925119497 C3(499,787) = 4.535591604485372489 C4(499,787) = 6296 Sum = 3988.986563822039876 Averaged sum = 0.3985399704088360352 logp*logq = 41.42707546398043139 -------------- ************************************* p = 499; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.060761268713688219 E18 -------------- Searches starting with [499,797]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(499,797) = 0.5770548518591831463 D2(499,797) = 0.04791328518764105685 C1(499,797) = 0.8377642844798228912 C2(499,797) = 2.046086494365355826 C3(499,797) = 4.619303239274060495 C4(499,797) = 6376 Sum = 3983.707511358974038 Averaged sum = 0.3980125398500323747 logp*logq = 41.50551850228214417 -------------- ************************************* p = 499; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.163961757224251320 E18 -------------- Searches starting with [499,809]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(499,809) = 1.097473670911006609 D2(499,809) = 0.09445750277840656395 C1(499,809) = 1.535670669207589284 C2(499,809) = 1.835693740668969311 C3(499,809) = 16.52750646329924892 C4(499,809) = 6472 Sum = 4288.733946027186141 Averaged sum = 0.4284877556226582217 logp*logq = 41.59836116804400281 -------------- ************************************* p = 499; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.181954317881035885 E18 -------------- Searches starting with [499,811]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(499,811) = 0.6494581862499259211 D2(499,811) = 0.09317819492027630113 C1(499,811) = 0.9296324419493841170 C2(499,811) = 1.834843593149758211 C3(499,811) = 5.463275191676319924 C4(499,811) = 6488 Sum = 4245.792545425615171 Averaged sum = 0.4241974768134294306 logp*logq = 41.61370094397507762 -------------- ************************************* p = 499; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.275457708913239371 E18 -------------- Searches starting with [499,821]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(499,821) = 0.7366508553726776550 D2(499,821) = 0.08021440103721790117 C1(499,821) = 1.144908945699279578 C2(499,821) = 1.689789622423533539 C3(499,821) = 8.095175921975839509 C4(499,821) = 6568 Sum = 3149.353322855285940 Averaged sum = 0.3146521453547093556 logp*logq = 41.68983677546559105 -------------- ************************************* p = 499; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.294883770930737341 E18 -------------- Searches starting with [499,823]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(499,823) = 1.016367995688542429 D2(499,823) = 0.07907891113138373733 C1(499,823) = 1.381715406947354554 C2(499,823) = 1.689066143100695579 C3(499,823) = 12.47609453586511698 C4(499,823) = 6584 Sum = 3801.905435619096972 Averaged sum = 0.3798486797501345760 logp*logq = 41.70495261283931893 -------------- ************************************* p = 499; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.334481363326644197 E18 -------------- Searches starting with [499,827]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(499,827) = 0.6414082348025672647 D2(499,827) = 0.01787978275622782714 C1(499,827) = 0.8809788101682424947 C2(499,827) = 2.062487769660915894 C3(499,827) = 4.998704047370118478 C4(499,827) = 6616 Sum = 4016.344275053655829 Averaged sum = 0.4012732815519688109 logp*logq = 41.73507439837235645 -------------- ************************************* p = 499; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.354658003715985189 E18 -------------- Searches starting with [499,829]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(499,829) = 0.6513168406997699748 D2(499,829) = 0.03091115846520565388 C1(499,829) = 0.9509629741071787970 C2(499,829) = 2.075909669370379178 C3(499,829) = 5.680336053361230955 C4(499,829) = 6632 Sum = 3434.726091732498500 Averaged sum = 0.3431637617876409731 logp*logq = 41.75008070058574999 -------------- ************************************* p = 499; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.459423652161489872 E18 -------------- Searches starting with [499,839]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(499,839) = 0.8803690474186538431 D2(499,839) = 0.05860436532537779307 C1(499,839) = 1.162629626675828660 C2(499,839) = 1.230889526466273380 C3(499,839) = 8.361489397642011785 C4(499,839) = 6712 Sum = 3787.932738273610246 Averaged sum = 0.3784526664275762060 logp*logq = 41.82457327288180302 -------------- ************************************* p = 499; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.617453549661589977 E18 -------------- Searches starting with [499,853]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(499,853) = 0.5642230903497347842 D2(499,853) = 0.06927001698120007307 C1(499,853) = 0.8129716696471539199 C2(499,853) = 1.850549604953259237 C3(499,853) = 4.414780754883140464 C4(499,853) = 6824 Sum = 3818.117940455941315 Averaged sum = 0.3814684724204157573 logp*logq = 41.92738470350806642 -------------- ************************************* p = 499; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.665154490919875658 E18 -------------- Searches starting with [499,857]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(499,857) = 0.8458065133041226793 D2(499,857) = 0.06174402248387442613 C1(499,857) = 1.325767139890764804 C2(499,857) = 1.704085701576504893 C3(499,857) = 11.26409647471994616 C4(499,857) = 6856 Sum = 3187.721944809596839 Averaged sum = 0.3184855574792283783 logp*logq = 41.95644958036001522 -------------- ************************************* p = 499; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.689444053375471257 E18 -------------- Searches starting with [499,859]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(499,859) = 0.5289819730859234155 D2(499,859) = 0.06070695560354198463 C1(499,859) = 0.7453416053102548790 C2(499,859) = 1.703449186080050982 C3(499,859) = 3.901754871727743410 C4(499,859) = 6872 Sum = 4047.468111456140572 Averaged sum = 0.4043828665657049227 logp*logq = 41.97093118620805086 -------------- ************************************* p = 499; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.738915852466000144 E18 -------------- Searches starting with [499,863]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(499,863) = 0.8073408630691334229 D2(499,863) = 0.05865010707083596676 C1(499,863) = 1.215739776601043139 C2(499,863) = 1.702190612841870792 C3(499,863) = 9.213285619190092439 C4(499,863) = 6904 Sum = 4042.841769868877903 Averaged sum = 0.4039206484033247979 logp*logq = 41.99979351963302443 -------------- ************************************* p = 499; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.921751432807921570 E18 -------------- Searches starting with [499,877]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(499,877) = 1.074178209002180315 D2(499,877) = 0.03312708554482036595 C1(499,877) = 1.863815777465967511 C2(499,877) = 1.089515971036213895 C3(499,877) = 30.09651839282954973 C4(499,877) = 7016 Sum = 1677.515413571750632 Averaged sum = 0.1676007007265211941 logp*logq = 42.09976864871421435 -------------- ************************************* p = 499; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.976857116405414490 E18 -------------- Searches starting with [499,881]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(499,881) = 0.8181814723413055004 D2(499,881) = 0.05181914628001178413 C1(499,881) = 1.110185587542213156 C2(499,881) = 1.317205236503798701 C3(499,881) = 7.597682839319762617 C4(499,881) = 7048 Sum = 4074.289450210034564 Averaged sum = 0.4070625886911813931 logp*logq = 42.12803994253343027 -------------- ************************************* p = 499; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.004903273285085618 E18 -------------- Searches starting with [499,883]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(499,883) = 0.6254410449348011624 D2(499,883) = 0.05387070273552346209 C1(499,883) = 0.8699221585599209724 C2(499,883) = 1.876427638794882508 C3(499,883) = 4.898763490684958492 C4(499,883) = 7064 Sum = 4192.161585160196328 Averaged sum = 0.4188392032331098339 logp*logq = 42.14212749073705516 -------------- ************************************* p = 499; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.061998050638212562 E18 -------------- Searches starting with [499,887]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(499,887) = 1.514751452700173598 D2(499,887) = 0.05173633436636643212 C1(499,887) = 2.193302097256635081 C2(499,887) = 1.875104863090712676 C3(499,887) = 54.94006004608533848 C4(499,887) = 7096 Sum = 4626.708735493891703 Averaged sum = 0.4622548441896185136 logp*logq = 42.17020711411285292 -------------- ************************************* p = 499; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.368367323299718714 E18 -------------- Searches starting with [499,907]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(499,907) = 0.8044424817883670332 D2(499,907) = 0.03807390124824717520 C1(499,907) = 1.167875648567602571 C2(499,907) = 1.719125636186648293 C3(499,907) = 8.441996645222443180 C4(499,907) = 7256 Sum = 4351.579021403932398 Averaged sum = 0.4347666121894227593 logp*logq = 42.30873249852148028 -------------- ************************************* p = 499; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.434007484121619814 E18 -------------- Searches starting with [499,911]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(499,911) = 0.7090523620796917611 D2(499,911) = 0.03430431921596797560 C1(499,911) = 1.076326549468502565 C2(499,911) = 1.626838548029329280 C3(499,911) = 7.142030028043884536 C4(499,911) = 7288 Sum = 3043.618889129172117 Averaged sum = 0.3040882095243453010 logp*logq = 42.33607074327743205 -------------- ************************************* p = 499; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.569875059926662149 E18 -------------- Searches starting with [499,919]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(499,919) = 0.6153261094650485983 D2(499,919) = 0.02872910012424144716 C1(499,919) = 0.8826365333287172231 C2(499,919) = 1.512716915013880810 C3(499,919) = 5.013862885643314929 C4(499,919) = 7352 Sum = 4162.588921356810828 Averaged sum = 0.4158845959992817292 logp*logq = 42.39038895680368400 -------------- ************************************* p = 499; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.748606169932656481 E18 -------------- Searches starting with [499,929]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(499,929) = 1.425653578847286765 D2(499,929) = 0.01899421243039646713 C1(499,929) = 2.511635528231801795 C2(499,929) = 1.117974061463467856 C3(499,929) = 98.26858579686109858 C4(499,929) = 7432 Sum = 4127.614339253862690 Averaged sum = 0.4123902826709823849 logp*logq = 42.45762560978357652 -------------- ************************************* p = 499; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.898995207084625075 E18 -------------- Searches starting with [499,937]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(499,937) = 0.7053043518024729766 D2(499,937) = 0.02738627625338149341 C1(499,937) = 1.002783598561639388 C2(499,937) = 1.901372393003255395 C3(499,937) = 6.244274324783793846 C4(499,937) = 7496 Sum = 3715.654821081006642 Averaged sum = 0.3712313738716162096 logp*logq = 42.51089587053143113 -------------- ************************************* p = 499; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.976740804863818129 E18 -------------- Searches starting with [499,941]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(499,941) = 0.6754923204176280503 D2(499,941) = 0.02547526578776867251 C1(499,941) = 0.9848044322422408406 C2(499,941) = 1.900241306635575252 C3(499,941) = 6.042540534348213029 C4(499,941) = 7528 Sum = 4160.811381418657167 Averaged sum = 0.4157070018402095281 logp*logq = 42.53736068625217086 -------------- ************************************* p = 499; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.096635032166380128 E18 -------------- Searches starting with [499,947]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(499,947) = 0.5916005120653605958 D2(499,947) = 0.02264135406324184785 C1(499,947) = 0.8228535665015431734 C2(499,947) = 1.898570971457724382 C3(499,947) = 4.495191426112868362 C4(499,947) = 7576 Sum = 3894.253760032496454 Averaged sum = 0.3890752083157654564 logp*logq = 42.57684772233618486 -------------- ************************************* p = 499; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.220554955249734850 E18 -------------- Searches starting with [499,953]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(499,953) = 0.8653341138589770480 D2(499,953) = 0.01984564056432019995 C1(499,953) = 1.263443475910852371 C2(499,953) = 1.896931348857137164 C3(499,953) = 10.05209606926870514 C4(499,953) = 7624 Sum = 4442.585188052175566 Averaged sum = 0.4438590456641198487 logp*logq = 42.61608536495006245 -------------- ************************************* p = 499; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.525970799166007800 E18 -------------- Searches starting with [499,967]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(499,967) = 0.5939872194187455084 D2(499,967) = 0.01236091670730811772 C1(499,967) = 0.8685755594802819625 C2(499,967) = 1.737945501973560252 C3(499,967) = 4.886728947935769273 C4(499,967) = 7736 Sum = 3793.465339945865883 Averaged sum = 0.3790054291083890381 logp*logq = 42.70668747625905459 -------------- ************************************* p = 499; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.617565448616840724 E18 -------------- Searches starting with [499,971]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(499,971) = 1.150303951760699383 D2(499,971) = 0.01013895232193121440 C1(499,971) = 1.762164918810552254 C2(499,971) = 1.642838952250922625 C3(499,971) = 24.99650522180991279 C4(499,971) = 7768 Sum = 3661.604514723697542 Averaged sum = 0.3658312033893193667 logp*logq = 42.73233294547570010 -------------- ************************************* p = 499; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.758695917191976588 E18 -------------- Searches starting with [499,977]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(499,977) = 0.8463201031476021501 D2(499,977) = 0.007522398365619283208 C1(499,977) = 1.262596330784531692 C2(499,977) = 1.575836599739558897 C3(499,977) = 10.03655369756555132 C4(499,977) = 7816 Sum = 3321.241710112355947 Averaged sum = 0.3318255280360031918 logp*logq = 42.77060374060095648 -------------- ************************************* p = 499; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.904417285034927543 E18 -------------- Searches starting with [499,983]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(499,983) = 0.7114635166667407477 D2(499,983) = 0.005037459387460241766 C1(499,983) = 1.027587388848918433 C2(499,983) = 1.485525846021567195 C3(499,983) = 6.533684686888933204 C4(499,983) = 7864 Sum = 3470.172350461075057 Averaged sum = 0.3467052003657783052 logp*logq = 42.80864022326729559 -------------- ************************************* p = 499; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.106061493306429017 E18 -------------- Searches starting with [499,991]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(499,991) = 0.7898821649751177350 D2(499,991) = 0.001998862067795370386 C1(499,991) = 1.416639927787623031 C2(499,991) = 1.272304931566308091 C3(499,991) = 13.29790925226673721 C4(499,991) = 7928 Sum = 3940.380227192648143 Averaged sum = 0.3936837073826204559 logp*logq = 42.85899596882808287 -------------- ************************************* p = 499; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.262965518582651159 E18 -------------- Searches starting with [499,997]-exponents: u = 10, v = 8 n_start has 51 digits starting right neighbors generation We generated 143 left neighbors We generated 9867 right neighbors We generated 10009 non-negative rho_i D1(499,997) = 0.9891170783908418179 D2(499,997) = 0.0004317026478012674434 C1(499,997) = 1.773757760076571149 C2(499,997) = 1.933863109517755449 C3(499,997) = 25.53145653195293201 C4(499,997) = 7976 Sum = 3577.734575828970673 Averaged sum = 0.3574517510069907756 logp*logq = 42.89649672310990881 -------------- ************************************* p = 503; q = 509; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 68767309025427849.56 -------------- Searches starting with [503,509]-exponents: u = 1, v = 524 n_start has 1422 digits --- performed 5000 steps in the continued fraction search [503,509]-exponents: u = 320, v = 196 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(503,509) = 0.6114168828715382222 D2(503,509) = 0.1737126413797713134 C1(503,509) = 0.7898484193939350802 C2(503,509) = 1.205437317372964621 C3(503,509) = 4.236494300067842707 C4(503,509) = 4072 Sum = 5479.528154004906006 Averaged sum = 0.5480076161621068112 logp*logq = 38.76950486741179850 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(503,509) = 0.6114168828715382222 D2(503,509) = 0.1737126413797713134 C1(503,509) = 0.7898484193939350802 C2(503,509) = 1.205437317372964621 C3(503,509) = 4.236494300067842707 C4(503,509) = 4072 Sum = 5479.528154004906006 Averaged sum = 0.5480076161621068112 logp*logq = 38.76950486741179850 -------------- ************************************* p = 503; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 79493942311805517.58 -------------- Searches starting with [503,521]-exponents: u = 1, v = 176 n_start has 481 digits starting right neighbors generation We generated 3369 left neighbors We generated 6641 right neighbors We generated 10009 non-negative rho_i D1(503,521) = 0.8431976230316390941 D2(503,521) = 0.008182807677546681575 C1(503,521) = 1.140634061063930589 C2(503,521) = 1.216865442913961808 C3(503,521) = 8.043986814035958513 C4(503,521) = 4168 Sum = 4949.228841813882114 Averaged sum = 0.4944778541126867933 logp*logq = 38.91445721633202736 -------------- ************************************* p = 503; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 81411336258768203.83 -------------- Searches starting with [503,523]-exponents: u = 1, v = 159 n_start has 435 digits starting right neighbors generation We generated 2887 left neighbors We generated 7123 right neighbors We generated 10009 non-negative rho_i D1(503,523) = 0.5800070902051274868 D2(503,523) = 0.002758374955472931605 C1(503,523) = 0.7886451868867091016 C2(503,523) = 1.230902148973969393 C3(503,523) = 4.227187020602522534 C4(503,523) = 4184 Sum = 4790.348888266192289 Averaged sum = 0.4786041450960327994 logp*logq = 38.93829092430079333 -------------- ************************************* p = 503; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 100484723141053324.4 -------------- Searches starting with [503,541]-exponents: u = 1, v = 85 n_start has 236 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(503,541) = 0.6256801637852138345 D2(503,541) = 0.002462835621009772181 C1(503,541) = 0.8476079776927841078 C2(503,541) = 1.359438206507672282 C3(503,541) = 4.708233449280385232 C4(503,541) = 4328 Sum = 3956.208444062523867 Averaged sum = 0.3952651058110224664 logp*logq = 39.14878210230861254 -------------- ************************************* p = 503; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 107621006173279754.2 -------------- Searches starting with [503,547]-exponents: u = 1, v = 74 n_start has 206 digits starting right neighbors generation We generated 714 left neighbors We generated 9296 right neighbors We generated 10009 non-negative rho_i D1(503,547) = 0.6816162789504486840 D2(503,547) = 0.002405290909218880712 C1(503,547) = 0.9701895581996335440 C2(503,547) = 1.392558675299905212 C3(503,547) = 5.890702898287828128 C4(503,547) = 4376 Sum = 3692.428018522241265 Averaged sum = 0.3689107821482906649 logp*logq = 39.21739224824324920 -------------- ************************************* p = 503; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 120459161454321540.7 -------------- Searches starting with [503,557]-exponents: u = 1, v = 61 n_start has 171 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(503,557) = 1.529258129978327070 D2(503,557) = 0.02897566666987001644 C1(503,557) = 2.206550657140575418 C2(503,557) = 1.464858226110878981 C3(503,557) = 56.44553789957456729 C4(503,557) = 4456 Sum = 3515.557765197026913 Averaged sum = 0.3512396608249602271 logp*logq = 39.33008718130596214 -------------- ************************************* p = 503; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128761338847955066.3 -------------- Searches starting with [503,563]-exponents: u = 1, v = 55 n_start has 154 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(503,563) = 0.6450127685605052696 D2(503,563) = 0.03940775931539359047 C1(503,563) = 0.9379102040462747384 C2(503,563) = 1.500497229143464879 C3(503,563) = 5.553192754181514748 C4(503,563) = 4504 Sum = 3247.827356542303452 Averaged sum = 0.3244906940296037018 logp*logq = 39.39673699929868966 -------------- ************************************* p = 503; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 137538499448428422.7 -------------- Searches starting with [503,569]-exponents: u = 1, v = 50 n_start has 141 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(503,569) = 0.6950722395328201166 D2(503,569) = 0.007370137939726794421 C1(503,569) = 0.9691978837359781497 C2(503,569) = 1.497128513214846951 C3(503,569) = 5.880034806014403309 C4(503,569) = 4552 Sum = 4282.337257787118051 Averaged sum = 0.4278486619829271706 logp*logq = 39.46268026881432027 -------------- ************************************* p = 503; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 140573506299368172.7 -------------- Searches starting with [503,571]-exponents: u = 1, v = 49 n_start has 138 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(503,571) = 0.8532494405301946764 D2(503,571) = 0.01886471345208892196 C1(503,571) = 1.251926579203752527 C2(503,571) = 1.515044014071442559 C3(503,571) = 9.858682188597717618 C4(503,571) = 4568 Sum = 3085.230864294188069 Averaged sum = 0.3082456653306212478 logp*logq = 39.48450692338332980 -------------- ************************************* p = 503; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150017913631273886.7 -------------- Searches starting with [503,577]-exponents: u = 1, v = 45 n_start has 127 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(503,577) = 0.7982712033029555226 D2(503,577) = 0.03790642323908857223 C1(503,577) = 1.093972800087687104 C2(503,577) = 1.554513971556714600 C3(503,577) = 7.386354835592049941 C4(503,577) = 4616 Sum = 4052.579491298301866 Averaged sum = 0.4048935449393847403 logp*logq = 39.54953110608493050 -------------- ************************************* p = 503; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 166940979445068739.2 -------------- Searches starting with [503,587]-exponents: u = 1, v = 40 n_start has 114 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(503,587) = 0.5750351328711922833 D2(503,587) = 0.01204592645897924511 C1(503,587) = 0.7808912591469397919 C2(503,587) = 1.567345986150590460 C3(503,587) = 4.167697118202297892 C4(503,587) = 4696 Sum = 3954.153073530446488 Averaged sum = 0.3950597535748273043 logp*logq = 39.65641672836451777 -------------- ************************************* p = 503; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 177842996276145774.8 -------------- Searches starting with [503,593]-exponents: u = 1, v = 37 n_start has 106 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(503,593) = 0.6106466838232758265 D2(503,593) = 0.02664018238670968148 C1(503,593) = 0.9153172959739858396 C2(503,593) = 1.599892443532009212 C3(503,593) = 5.328534526896734409 C4(503,593) = 4744 Sum = 4072.408522405733710 Averaged sum = 0.4068746650420355390 logp*logq = 39.71967751258116303 -------------- ************************************* p = 503; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 189336345175317002.2 -------------- Searches starting with [503,599]-exponents: u = 1, v = 35 n_start has 100 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(503,599) = 0.5451463337587826869 D2(503,599) = 0.02409016383626718073 C1(503,599) = 0.7571361110905110908 C2(503,599) = 1.616692328713380406 C3(503,599) = 3.990603349328882784 C4(503,599) = 4792 Sum = 4253.085070333928471 Averaged sum = 0.4249260735671823829 logp*logq = 39.78230143245331306 -------------- ************************************* p = 503; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 193303280540447656.9 -------------- Searches starting with [503,601]-exponents: u = 1, v = 34 n_start has 98 digits starting right neighbors generation We generated 137 left neighbors We generated 9873 right neighbors We generated 10009 non-negative rho_i D1(503,601) = 0.8581247109997957086 D2(503,601) = 0.06985890691035681675 C1(503,601) = 1.295832999201869785 C2(503,601) = 1.662931485987791836 C3(503,601) = 10.68250659986322698 C4(503,601) = 4808 Sum = 4693.044699079621123 Averaged sum = 0.4688824756798502471 logp*logq = 39.80303675221969657 -------------- ************************************* p = 503; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 205625141066110156.8 -------------- Searches starting with [503,607]-exponents: u = 1, v = 33 n_start has 95 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(503,607) = 0.7423098502388963285 D2(503,607) = 0.04473110748081687987 C1(503,607) = 1.127090672888992006 C2(503,607) = 1.658773584568264460 C3(503,607) = 7.847298640693877986 C4(503,607) = 4856 Sum = 2423.187848938718527 Averaged sum = 0.2421008940891915803 logp*logq = 39.86483120246588035 -------------- ************************************* p = 503; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 218599531747172613.2 -------------- Searches starting with [503,613]-exponents: u = 1, v = 31 n_start has 90 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(503,613) = 0.6620277869380782754 D2(503,613) = 0.003969487243383624687 C1(503,613) = 0.9519139906207178313 C2(503,613) = 1.640880340171001839 C3(503,613) = 5.697172856515950715 C4(503,613) = 4904 Sum = 4100.819948592911377 Averaged sum = 0.4097132529316526503 logp*logq = 39.92601782859763901 -------------- ************************************* p = 503; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 227625264346916982.6 -------------- Searches starting with [503,617]-exponents: u = 1, v = 30 n_start has 87 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(503,617) = 0.6549391081790186774 D2(503,617) = 0.08296102098758643406 C1(503,617) = 0.9438846074576921139 C2(503,617) = 1.720805194259989787 C3(503,617) = 5.614168181363762907 C4(503,617) = 4936 Sum = 4065.048402130334815 Averaged sum = 0.4061393148296867634 logp*logq = 39.96647709428416178 -------------- ************************************* p = 503; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 232254110634577673.5 -------------- Searches starting with [503,619]-exponents: u = 1, v = 29 n_start has 84 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(503,619) = 1.011751442594556255 D2(503,619) = 0.03046489914854070131 C1(503,619) = 1.550293004595038516 C2(503,619) = 1.680328038211408119 C3(503,619) = 17.00871720473527324 C4(503,619) = 4952 Sum = 5032.426329160301376 Averaged sum = 0.5027901218064043737 logp*logq = 39.98660847162810215 -------------- ************************************* p = 503; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 261718913141403811.8 -------------- Searches starting with [503,631]-exponents: u = 1, v = 27 n_start has 79 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(503,631) = 0.6055138418122715928 D2(503,631) = 0.05979276040567856341 C1(503,631) = 0.8792668453977534089 C2(503,631) = 1.737448119699071084 C3(503,631) = 4.988727679655262055 C4(503,631) = 5048 Sum = 3876.943601486779050 Averaged sum = 0.3873457489746007643 logp*logq = 40.10604747215029096 -------------- ************************************* p = 503; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 288611390555470503.5 -------------- Searches starting with [503,641]-exponents: u = 1, v = 25 n_start has 73 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(503,641) = 0.8219004084142160720 D2(503,641) = 0.01995578993314225814 C1(503,641) = 1.164737852931324106 C2(503,641) = 1.727906048494299420 C3(503,641) = 8.406315806183533272 C4(503,641) = 5128 Sum = 4579.060392056262956 Averaged sum = 0.4574942943407196479 logp*logq = 40.20385750878577595 -------------- ************************************* p = 503; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 294258877357378980.4 -------------- Searches starting with [503,643]-exponents: u = 1, v = 25 n_start has 73 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(503,643) = 1.272614008073193141 D2(503,643) = 0.05139943344826170704 C1(503,643) = 1.804984780919814125 C2(503,643) = 1.759807944024307313 C3(503,643) = 27.09280293685191041 C4(503,643) = 5144 Sum = 5098.950605172054206 Averaged sum = 0.5094365676063596969 logp*logq = 40.22323631003482405 -------------- ************************************* p = 503; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 305832431396219584.4 -------------- Searches starting with [503,647]-exponents: u = 1, v = 24 n_start has 71 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(503,647) = 0.5560619666372090154 D2(503,647) = 0.004539639101305608098 C1(503,647) = 0.7900553278020171199 C2(503,647) = 1.729183765666695758 C3(503,647) = 4.238096847746803169 C4(503,647) = 5176 Sum = 3974.547072460312365 Averaged sum = 0.3970973196583387316 logp*logq = 40.26181373705377379 -------------- ************************************* p = 503; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 323907694670254087.9 -------------- Searches starting with [503,653]-exponents: u = 1, v = 23 n_start has 68 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(503,653) = 0.8824376998323293077 D2(503,653) = 0.09825307678371859360 C1(503,653) = 1.204778815118692570 C2(503,653) = 1.824262706941757741 C3(503,653) = 9.044644094438110059 C4(503,653) = 5224 Sum = 4108.621822327163199 Averaged sum = 0.4104927387678252771 logp*logq = 40.31923497712025363 -------------- ************************************* p = 503; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 342871115725835238.9 -------------- Searches starting with [503,659]-exponents: u = 1, v = 23 n_start has 68 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(503,659) = 0.9760653660694978062 D2(503,659) = 0.06419208685731213451 C1(503,659) = 1.537460450769961430 C2(503,659) = 1.807904323534436278 C3(503,659) = 16.61440044751853664 C4(503,659) = 5272 Sum = 1898.335792765504668 Averaged sum = 0.1896628826821365439 logp*logq = 40.37613101556133186 -------------- ************************************* p = 503; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 349395636237247519.3 -------------- Searches starting with [503,661]-exponents: u = 1, v = 22 n_start has 65 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(503,661) = 0.5794980106405088321 D2(503,661) = 0.09633666553022466941 C1(503,661) = 0.8121028135978062141 C2(503,661) = 1.840499817701519854 C3(503,661) = 4.412379595268488837 C4(503,661) = 5288 Sum = 4022.531841843855347 Averaged sum = 0.4018914818507198868 logp*logq = 40.39498130322883582 -------------- ************************************* p = 503; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 390771344742391439.0 -------------- Searches starting with [503,673]-exponents: u = 1, v = 21 n_start has 63 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(503,673) = 0.5913508165129732077 D2(503,673) = 0.001874301319703027265 C1(503,673) = 0.8484270415273656081 C2(503,673) = 1.785000901004515818 C3(503,673) = 4.715287603410106452 C4(503,673) = 5384 Sum = 4116.140905350927518 Averaged sum = 0.4112439709612276469 logp*logq = 40.50689898778087969 -------------- ************************************* p = 503; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 405445092429775972.2 -------------- Searches starting with [503,677]-exponents: u = 1, v = 20 n_start has 60 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(503,677) = 0.8136066848741174636 D2(503,677) = 0.05182641895395324904 C1(503,677) = 1.294726899327037072 C2(503,677) = 1.835846151101060701 C3(503,677) = 10.66093051585640545 C4(503,677) = 5416 Sum = 3768.132601693269862 Averaged sum = 0.3764744331794654673 logp*logq = 40.54376185221955246 -------------- ************************************* p = 503; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 428321196714819470.3 -------------- Searches starting with [503,683]-exponents: u = 1, v = 20 n_start has 60 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(503,683) = 1.076833100829152325 D2(503,683) = 0.1419753438459194189 C1(503,683) = 1.550110937294779682 C2(503,683) = 1.927324871272623247 C3(503,683) = 17.00305774055690830 C4(503,683) = 5464 Sum = 5253.155356990979520 Averaged sum = 0.5248431768399420042 logp*logq = 40.59864976865253451 -------------- ************************************* p = 503; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 460499570750080870.5 -------------- Searches starting with [503,691]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(503,691) = 0.6299440658037485165 D2(503,691) = 0.08826699216238525462 C1(503,691) = 0.8783841746570029037 C2(503,691) = 1.895636365301287380 C3(503,691) = 4.980685342139000658 C4(503,691) = 5528 Sum = 4079.992607522009762 Averaged sum = 0.4076323915997611911 logp*logq = 40.67108831846680860 -------------- ************************************* p = 503; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 503553396246497014.3 -------------- Searches starting with [503,701]-exponents: u = 1, v = 18 n_start has 54 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(503,701) = 0.7200616854945530048 D2(503,701) = 0.05205213379601903577 C1(503,701) = 1.021284046377074665 C2(503,701) = 1.883547430632035981 C3(503,701) = 6.467367473729870292 C4(503,701) = 5608 Sum = 4391.234125346560862 Averaged sum = 0.4387285568335059308 logp*logq = 40.76046615158838350 -------------- ************************************* p = 503; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 540383337187109702.2 -------------- Searches starting with [503,709]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(503,709) = 0.6902163544436153549 D2(503,709) = 0.1282027383025567023 C1(503,709) = 0.9410140360701463212 C2(503,709) = 1.369467410393484970 C3(503,709) = 5.584787696463081762 C4(503,709) = 5672 Sum = 3889.338926592448826 Averaged sum = 0.3885841669090267585 logp*logq = 40.83105516630060025 -------------- ************************************* p = 503; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 589575807046099708.3 -------------- Searches starting with [503,719]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(503,719) = 0.6117074497523142666 D2(503,719) = 0.09062628140572131519 C1(503,719) = 0.8589828991009912205 C2(503,719) = 1.949893486485811365 C3(503,719) = 4.807150957497436726 C4(503,719) = 5752 Sum = 4052.216202138284410 Averaged sum = 0.4048572486900074343 logp*logq = 40.91817970211846730 -------------- ************************************* p = 503; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 631586484133723421.4 -------------- Searches starting with [503,727]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(503,727) = 0.9140002007621555862 D2(503,727) = 0.1376224730461227623 C1(503,727) = 1.242781116502612518 C2(503,727) = 1.394571372683586244 C3(503,727) = 9.695247705591841818 C4(503,727) = 5816 Sum = 4144.555709328812007 Averaged sum = 0.4140828963261876319 logp*logq = 40.98701127765491071 -------------- ************************************* p = 503; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 664718278114491973.2 -------------- Searches starting with [503,733]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(503,733) = 0.7806721456085890332 D2(503,733) = 0.05624545321539272791 C1(503,733) = 1.182036645350530597 C2(503,733) = 1.944641050402752536 C3(503,733) = 8.676369306451313008 C4(503,733) = 5864 Sum = 3695.865399570791630 Averaged sum = 0.3692542111670288370 logp*logq = 41.03813970387184881 -------------- ************************************* p = 503; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 699296565053914397.8 -------------- Searches starting with [503,739]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(503,739) = 0.7697162917598946581 D2(503,739) = 0.1174676784334580283 C1(503,739) = 1.073281089543793688 C2(503,739) = 1.465554768788145918 C3(503,739) = 7.112207742189313491 C4(503,739) = 5912 Sum = 4361.376841255663751 Averaged sum = 0.4357455131637190279 logp*logq = 41.08885131763062821 -------------- ************************************* p = 503; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 723177313065517939.7 -------------- Searches starting with [503,743]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(503,743) = 0.8255022673487158974 D2(503,743) = 0.1064774206870793865 C1(503,743) = 1.358080065455442765 C2(503,743) = 1.253379498374590009 C3(503,743) = 11.96979899132691714 C4(503,743) = 5944 Sum = 3538.820574969887718 Averaged sum = 0.3535638500319600078 logp*logq = 41.12243083328851866 -------------- ************************************* p = 503; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 772996495309990355.2 -------------- Searches starting with [503,751]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(503,751) = 0.7763374910113092635 D2(503,751) = 0.03878047437814490442 C1(503,751) = 1.182191439178292454 C2(503,751) = 1.959766566704017443 C3(503,751) = 8.678824564687064454 C4(503,751) = 6008 Sum = 3593.229015846131405 Averaged sum = 0.3589998017630264167 logp*logq = 41.18905090960683349 -------------- ************************************* p = 503; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 812223455205024720.4 -------------- Searches starting with [503,757]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(503,757) = 0.6004557633947454488 D2(503,757) = 0.09677313294044198949 C1(503,757) = 0.8206882231599776481 C2(503,757) = 2.019006386809261587 C3(503,757) = 4.482169096140501774 C4(503,757) = 6056 Sum = 4115.069426341096137 Averaged sum = 0.4111369194066436344 logp*logq = 41.23855188835342000 -------------- ************************************* p = 503; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 839291978118683875.8 -------------- Searches starting with [503,761]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(503,761) = 1.001222209178535108 D2(503,761) = 0.08054701948780648009 C1(503,761) = 1.661314615107914203 C2(503,761) = 1.131866081756820749 C3(503,761) = 20.83550456158583074 C4(503,761) = 6088 Sum = 1257.158813689441504 Averaged sum = 0.1256028388140115400 logp*logq = 41.27133504813022820 -------------- ************************************* p = 503; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 895705046328469087.2 -------------- Searches starting with [503,769]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(503,769) = 0.7239535192995173511 D2(503,769) = 0.1227242939783260841 C1(503,769) = 1.067651808488800492 C2(503,769) = 1.803343364002116548 C3(503,769) = 7.039401436102452757 C4(503,769) = 6152 Sum = 4105.181938266719533 Averaged sum = 0.4101490596729662836 logp*logq = 41.33638756432535477 -------------- ************************************* p = 503; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 925083573492242078.8 -------------- Searches starting with [503,773]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(503,773) = 0.7435220737430397500 D2(503,773) = 0.02705675289486647826 C1(503,773) = 1.139288782954321322 C2(503,773) = 1.984565182055475521 C3(503,773) = 8.024231058717453928 C4(503,773) = 6184 Sum = 3333.486505887752334 Averaged sum = 0.3330489065728596597 logp*logq = 41.36866047806316300 -------------- ************************************* p = 503; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.034360560857357365 E18 -------------- Searches starting with [503,787]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(503,787) = 0.6720641092686599355 D2(503,787) = 0.1035102585332286723 C1(503,787) = 1.125690234083183648 C2(503,787) = 1.386578516736973065 C3(503,787) = 7.827236713715423858 C4(503,787) = 6296 Sum = 4100.319559842878026 Averaged sum = 0.4096632590511417750 logp*logq = 41.48031509408670036 -------------- ************************************* p = 503; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.118878974973265578 E18 -------------- Searches starting with [503,797]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(503,797) = 0.8197976550533562019 D2(503,797) = 0.1048942554631782915 C1(503,797) = 1.264817627497393325 C2(503,797) = 1.816043136301464046 C3(503,797) = 10.09374172518491896 C4(503,797) = 6376 Sum = 3486.152450587468702 Averaged sum = 0.3483017734626305027 logp*logq = 41.55885894274726231 -------------- ************************************* p = 503; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.227880178589466210 E18 -------------- Searches starting with [503,809]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(503,809) = 0.8199409988705079906 D2(503,809) = 0.07155929793819069368 C1(503,809) = 1.117108348992452413 C2(503,809) = 1.335027392553150406 C3(503,809) = 7.705412561955820017 C4(503,809) = 6472 Sum = 3984.901081960251986 Averaged sum = 0.3981317895853983401 logp*logq = 41.65182092441853239 -------------- ************************************* p = 503; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.246885372964016652 E18 -------------- Searches starting with [503,811]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(503,811) = 1.013003970796499541 D2(503,811) = 0.05935345559860469938 C1(503,811) = 1.714664031108145909 C2(503,811) = 1.121530025060037339 C3(503,811) = 22.96965507819916198 C4(503,811) = 6488 Sum = 1729.769608829494175 Averaged sum = 0.1728214216035062618 logp*logq = 41.66718041412344561 -------------- ************************************* p = 503; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.345657063742884738 E18 -------------- Searches starting with [503,821]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(503,821) = 0.6155837014359428817 D2(503,821) = 0.09095500261782321792 C1(503,821) = 0.8442845413330869751 C2(503,821) = 1.834517990010493908 C3(503,821) = 4.679718607599057517 C4(503,821) = 6568 Sum = 3824.884360894018681 Averaged sum = 0.3821445060339712940 logp*logq = 41.74341409088691133 -------------- ************************************* p = 503; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.366178847334837171 E18 -------------- Searches starting with [503,823]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(503,823) = 0.6412163826557013920 D2(503,823) = 0.08970829385515327667 C1(503,823) = 0.8751302032724247118 C2(503,823) = 1.833694055372336631 C3(503,823) = 4.951149049064160856 C4(503,823) = 6584 Sum = 3989.336122804164556 Averaged sum = 0.3985748948750289295 logp*logq = 41.75854935424187274 -------------- ************************************* p = 503; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.408011149835040404 E18 -------------- Searches starting with [503,827]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(503,827) = 0.8824205421024432321 D2(503,827) = 0.08723830354943875251 C1(503,827) = 1.371818840840411727 C2(503,827) = 1.832066484191510224 C3(503,827) = 12.27419818338910771 C4(503,827) = 6616 Sum = 3511.668067470983879 Averaged sum = 0.3508510408103690558 logp*logq = 41.78870985051425062 -------------- ************************************* p = 503; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.429327085656014814 E18 -------------- Searches starting with [503,829]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(503,829) = 0.5815125586328687764 D2(503,829) = 0.07939629618927679982 C1(503,829) = 0.9040183048569885402 C2(503,829) = 1.690353555789557907 C3(503,829) = 5.219612807606982986 C4(503,829) = 6632 Sum = 3956.055806169681251 Averaged sum = 0.3952498557467960087 logp*logq = 41.80373543794076037 -------------- ************************************* p = 503; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.540014866264270342 E18 -------------- Searches starting with [503,839]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(503,839) = 0.5948056515517397408 D2(503,839) = 0.04924238929055311917 C1(503,839) = 0.8436298373624662608 C2(503,839) = 2.096179437811985079 C3(503,839) = 4.674121689601213736 C4(503,839) = 6712 Sum = 3658.226481672787564 Averaged sum = 0.3654937038338283109 logp*logq = 41.87832374369012353 -------------- ************************************* p = 503; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.706996899729575475 E18 -------------- Searches starting with [503,853]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(503,853) = 1.118224883075996431 D2(503,853) = 0.07316390447257940314 C1(503,853) = 1.548992664380724578 C2(503,853) = 1.854201174784995117 C3(503,853) = 16.96833810827546826 C4(503,853) = 6824 Sum = 4495.139295019428096 Averaged sum = 0.4491097307442729639 logp*logq = 41.98126730149350320 -------------- ************************************* p = 503; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.757404240322686597 E18 -------------- Searches starting with [503,857]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(503,857) = 0.8066291680098998164 D2(503,857) = 0.07086662841930729264 C1(503,857) = 1.211961092401070941 C2(503,857) = 1.852729428719716930 C3(503,857) = 9.164167124300310396 C4(503,857) = 6856 Sum = 3461.870785076378099 Averaged sum = 0.3458757902963710759 logp*logq = 42.01036953080819168 -------------- ************************************* p = 503; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.783072631604073137 E18 -------------- Searches starting with [503,859]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(503,859) = 0.7717554479682575338 D2(503,859) = 0.06972780861722391236 C1(503,859) = 1.077416936276150131 C2(503,859) = 1.852001903732500128 C3(503,859) = 7.166178131733809228 C4(503,859) = 6872 Sum = 4231.853070090772639 Averaged sum = 0.4228047827046430851 logp*logq = 42.02486974756057089 -------------- ************************************* p = 503; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.835354221759512807 E18 -------------- Searches starting with [503,863]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(503,863) = 0.7267553153175012559 D2(503,863) = 0.06746943993148289756 C1(503,863) = 1.139470016520394952 C2(503,863) = 1.850563207306373045 C3(503,863) = 8.026889689716039819 C4(503,863) = 6904 Sum = 3297.531676845111123 Averaged sum = 0.3294566566934869740 logp*logq = 42.05376917315143692 -------------- ************************************* p = 503; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.028590284063791665 E18 -------------- Searches starting with [503,877]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(503,877) = 0.5973401391781737162 D2(503,877) = 0.01529632595211987474 C1(503,877) = 0.8629423057949387247 C2(503,877) = 2.115830026962218428 C3(503,877) = 4.842067757724692204 C4(503,877) = 7016 Sum = 3470.310370351617966 Averaged sum = 0.3467189899442120058 logp*logq = 42.15387278436255023 -------------- ************************************* p = 503; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.086835360540342658 E18 -------------- Searches starting with [503,881]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(503,881) = 0.7722857554288679206 D2(503,881) = 0.03816495209930960489 C1(503,881) = 1.066634293549763045 C2(503,881) = 2.139443434629598638 C3(503,881) = 7.026321163731296155 C4(503,881) = 7048 Sum = 3950.639356852015600 Averaged sum = 0.3947086978571301429 logp*logq = 42.18218041077847260 -------------- ************************************* p = 503; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.116480123185016339 E18 -------------- Searches starting with [503,883]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(503,883) = 0.8057251099608943909 D2(503,883) = 0.03866570051073406850 C1(503,883) = 1.398503452653405516 C2(503,883) = 1.260712657100711914 C3(503,883) = 12.88772377181850569 C4(503,883) = 7064 Sum = 3814.832601685792593 Averaged sum = 0.3811402339580170440 logp*logq = 42.19628606346683520 -------------- ************************************* p = 503; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.176830890613492953 E18 -------------- Searches starting with [503,887]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(503,887) = 0.9141589614757188725 D2(503,887) = 0.04086760685371800619 C1(503,887) = 1.586602320113458012 C2(503,887) = 1.191665090401000314 C3(503,887) = 18.17586306328755882 C4(503,887) = 7096 Sum = 3626.526169974854550 Averaged sum = 0.3623265231266714507 logp*logq = 42.22440177311580835 -------------- ************************************* p = 503; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.500707040958023718 E18 -------------- Searches starting with [503,907]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(503,907) = 0.5869037144920716804 D2(503,907) = 0.04504810366657851659 C1(503,907) = 0.8178878532403795666 C2(503,907) = 1.872165098961459753 C3(503,907) = 4.459284846862720967 C4(503,907) = 7256 Sum = 3879.967164441894373 Averaged sum = 0.3876478333941347160 logp*logq = 42.36310518216517233 -------------- ************************************* p = 503; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.570105340337951608 E18 -------------- Searches starting with [503,911]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(503,911) = 0.7241005766677756027 D2(503,911) = 0.03957558501559301628 C1(503,911) = 0.9699096877143339548 C2(503,911) = 1.721113899145786663 C3(503,911) = 5.887690189141978403 C4(503,911) = 7288 Sum = 3693.407423238542380 Averaged sum = 0.3690086345527567569 logp*logq = 42.39047856041829377 -------------- ************************************* p = 503; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.713759401533322368 E18 -------------- Searches starting with [503,919]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(503,919) = 0.7124727413709445480 D2(503,919) = 0.03399607507937731195 C1(503,919) = 1.081778098853301190 C2(503,919) = 1.627729477418618301 C3(503,919) = 7.223532447931203448 C4(503,919) = 7352 Sum = 3047.269041390721238 Averaged sum = 0.3044528965321931500 logp*logq = 42.44486658050375325 -------------- ************************************* p = 503; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.902748271820113738 E18 -------------- Searches starting with [503,929]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(503,929) = 0.6705485880442916804 D2(503,929) = 0.02640466200303157827 C1(503,929) = 0.9518784173741320244 C2(503,929) = 1.442944628387743510 C3(503,929) = 5.696802420806210292 C4(503,929) = 7432 Sum = 3657.577264160087424 Averaged sum = 0.3654288404595951068 logp*logq = 42.51218964205808992 -------------- ************************************* p = 503; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.061780742531078348 E18 -------------- Searches starting with [503,937]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(503,937) = 1.889269706394083115 D2(503,937) = 0.01827931708019360227 C1(503,937) = 3.329419993471109372 C2(503,937) = 1.118146253059949205 C3(503,937) = 439.5403668924414311 C4(503,937) = 7496 Sum = 5428.895288959974672 Averaged sum = 0.5424013676650988782 logp*logq = 42.56552836259814846 -------------- ************************************* p = 503; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.143998870917103027 E18 -------------- Searches starting with [503,941]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(503,941) = 0.7398470157326722629 D2(503,941) = 0.02905728974203161896 C1(503,941) = 1.303816727677144727 C2(503,941) = 1.903554541201925084 C3(503,941) = 10.83954133111071650 C4(503,941) = 7528 Sum = 4115.966023067481435 Averaged sum = 0.4112264984581358212 logp*logq = 42.59202718933665911 -------------- ************************************* p = 503; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.270795730392923919 E18 -------------- Searches starting with [503,947]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(503,947) = 0.8440789857500671999 D2(503,947) = 0.02619777841775931217 C1(503,947) = 1.213681074386063064 C2(503,947) = 1.901858581025814347 C3(503,947) = 9.193023636074982216 C4(503,947) = 7576 Sum = 4720.096748890077573 Averaged sum = 0.4715852481656586644 logp*logq = 42.63156497182677492 -------------- ************************************* p = 503; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.401856685177043281 E18 -------------- Searches starting with [503,953]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(503,953) = 0.6487702832413063961 D2(503,953) = 0.02337714806388106631 C1(503,953) = 0.8821441477397108202 C2(503,953) = 1.900194016388747946 C3(503,953) = 5.015034109375348172 C4(503,953) = 7624 Sum = 3775.918715983389744 Averaged sum = 0.3772523444882995049 logp*logq = 42.67085304034099929 -------------- ************************************* p = 503; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.724899658816938920 E18 -------------- Searches starting with [503,967]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(503,967) = 0.7753134326087337920 D2(503,967) = 0.01694116137291718740 C1(503,967) = 1.240821166784407146 C2(503,967) = 1.896426936227769662 C3(503,967) = 9.660576399475677378 C4(503,967) = 7736 Sum = 3310.992003557508477 Averaged sum = 0.3308014790246286818 logp*logq = 42.76157158813117948 -------------- ************************************* p = 503; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.821787868372179819 E18 -------------- Searches starting with [503,971]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(503,971) = 0.5865256049388419585 D2(503,971) = 0.01389676455357094789 C1(503,971) = 0.9386627695160006373 C2(503,971) = 1.739919477798421744 C3(503,971) = 5.560836915456645990 C4(503,971) = 7768 Sum = 3858.807013468711170 Averaged sum = 0.3855337209979729414 logp*logq = 42.78725001538987126 -------------- ************************************* p = 503; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.971080881509423356 E18 -------------- Searches starting with [503,977]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(503,977) = 0.5729808952669713376 D2(503,977) = 0.01144154682355173666 C1(503,977) = 0.8099959165901236444 C2(503,977) = 1.738559846244497501 C3(503,977) = 4.395419657767644072 C4(503,977) = 7816 Sum = 3910.007687529870232 Averaged sum = 0.3906491844869487693 logp*logq = 42.82556999388019797 -------------- ************************************* p = 503; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.125237875427383343 E18 -------------- Searches starting with [503,983]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(503,983) = 0.8098949755267999557 D2(503,983) = 0.008528634409905076339 C1(503,983) = 1.156047437289625313 C2(503,983) = 1.643050780621237609 C3(503,983) = 8.273837270715405487 C4(503,983) = 7864 Sum = 4426.409723070379015 Averaged sum = 0.4422429536487540228 logp*logq = 42.86365535878707709 -------------- ************************************* p = 503; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.338567153701691762 E18 -------------- Searches starting with [503,991]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(503,991) = 0.6078255836095562971 D2(503,991) = 0.005128506483491035833 C1(503,991) = 0.8780946395103997331 C2(503,991) = 1.526016704672976900 C3(503,991) = 4.978050105950238155 C4(503,991) = 7928 Sum = 4088.986995587124909 Averaged sum = 0.4085310216392371774 logp*logq = 42.91407581857732314 -------------- ************************************* p = 503; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.504572953720680676 E18 -------------- Searches starting with [503,997]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(503,997) = 0.6971704133269376678 D2(503,997) = 0.002769921519911556799 C1(503,997) = 0.9677573468837564645 C2(503,997) = 1.381113096799274589 C3(503,997) = 5.864572413652578822 C4(503,997) = 7976 Sum = 4286.580974688607532 Averaged sum = 0.4282726520819869649 logp*logq = 42.95162476661321716 -------------- ************************************* p = 509; q = 521; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 85615003716547380.28 -------------- Searches starting with [509,521]-exponents: u = 1, v = 267 n_start has 729 digits --- performed 5000 steps in the continued fraction search [509,521]-exponents: u = 98, v = 151 --- starting right neighbors generation We generated 7873 left neighbors We generated 2137 right neighbors We generated 10009 non-negative rho_i D1(509,521) = 0.6093893855663903972 D2(509,521) = 0.001807601422935914420 C1(509,521) = 0.8088252311832558541 C2(509,521) = 1.142712614824736093 C3(509,521) = 4.392785309276760431 C4(509,521) = 4168 Sum = 5072.127300160485186 Averaged sum = 0.5067566490319197907 logp*logq = 38.98863693976162148 -------------- ************************************* p = 509; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 87684021275655325.01 -------------- Searches starting with [509,523]-exponents: u = 1, v = 229 n_start has 626 digits --- performed 5000 steps in the continued fraction search [509,523]-exponents: u = 193, v = 15 --- starting right neighbors generation We generated 5680 left neighbors We generated 4330 right neighbors We generated 10009 non-negative rho_i D1(509,523) = 0.6592286197544562539 D2(509,523) = 0.006518813789878918417 C1(509,523) = 0.8808647170723773127 C2(509,523) = 1.171654951932150623 C3(509,523) = 5.011719775998403194 C4(509,523) = 4184 Sum = 4987.915868027487395 Averaged sum = 0.4983430780325194720 logp*logq = 39.01251608014784599 -------------- ************************************* p = 509; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 108270433030421106.2 -------------- Searches starting with [509,541]-exponents: u = 1, v = 102 n_start has 282 digits starting right neighbors generation We generated 1273 left neighbors We generated 8737 right neighbors We generated 10009 non-negative rho_i D1(509,541) = 0.6663109851230764673 D2(509,541) = 0.002874062416488899347 C1(509,541) = 0.9293686096528294617 C2(509,541) = 1.321359234965350597 C3(509,541) = 5.476849645095791191 C4(509,541) = 4328 Sum = 4121.580456184931627 Averaged sum = 0.4117874369252604283 logp*logq = 39.22340850176757497 -------------- ************************************* p = 509; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 115974813112318311.2 -------------- Searches starting with [509,547]-exponents: u = 1, v = 86 n_start has 239 digits starting right neighbors generation We generated 912 left neighbors We generated 9098 right neighbors We generated 10009 non-negative rho_i D1(509,547) = 0.5451156839269187839 D2(509,547) = 0.001542768160431602001 C1(509,547) = 0.7678900535708011506 C2(509,547) = 1.357049268635933067 C3(509,547) = 4.075777661603352683 C4(509,547) = 4376 Sum = 4506.365074808545262 Averaged sum = 0.4502312993114741994 logp*logq = 39.29214943409919521 -------------- ************************************* p = 509; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 129837386474225123.5 -------------- Searches starting with [509,557]-exponents: u = 1, v = 69 n_start has 193 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(509,557) = 0.6969375737269543595 D2(509,557) = 0.01647077952641404547 C1(509,557) = 0.9971014460938447226 C2(509,557) = 1.423545269882774588 C3(509,557) = 6.199480579400175784 C4(509,557) = 4456 Sum = 3586.369788317045338 Averaged sum = 0.3583144957854975859 logp*logq = 39.40505918909608124 -------------- ************************************* p = 509; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 138803555223712056.6 -------------- Searches starting with [509,563]-exponents: u = 1, v = 61 n_start has 171 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(509,563) = 0.6609637253503867563 D2(509,563) = 0.002206899485741538559 C1(509,563) = 0.9528709752886478507 C2(509,563) = 1.439504621815804713 C3(509,563) = 5.717513213849968442 C4(509,563) = 4504 Sum = 4565.827634323465376 Averaged sum = 0.4561722084447462659 logp*logq = 39.47183605665904557 -------------- ************************************* p = 509; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 148283893247952203.0 -------------- Searches starting with [509,569]-exponents: u = 1, v = 55 n_start has 155 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(509,569) = 0.8265087929228314442 D2(509,569) = 0.01141062663237117431 C1(509,569) = 1.200562998289026738 C2(509,569) = 1.473916403794653341 C3(509,569) = 8.995758529363875099 C4(509,569) = 4552 Sum = 5013.585667282327601 Averaged sum = 0.5009077497534546509 logp*logq = 39.53790502890432030 -------------- ************************************* p = 509; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 151562320239752592.4 -------------- Searches starting with [509,571]-exponents: u = 1, v = 54 n_start has 152 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(509,571) = 0.6255585880842902139 D2(509,571) = 0.03399733942065295283 C1(509,571) = 0.9111972246306490763 C2(509,571) = 1.502121136409868382 C3(509,571) = 5.297741580266576904 C4(509,571) = 4568 Sum = 3243.271551889920679 Averaged sum = 0.3240355232180957817 logp*logq = 39.55977328999479104 -------------- ************************************* p = 509; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 161765058841096661.8 -------------- Searches starting with [509,577]-exponents: u = 1, v = 49 n_start has 139 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(509,577) = 0.6260645467263300969 D2(509,577) = 0.03868721553264778362 C1(509,577) = 0.8540868675360489788 C2(509,577) = 1.530334922295593583 C3(509,577) = 4.772077957996083775 C4(509,577) = 4616 Sum = 4193.678938681009208 Averaged sum = 0.4189908021461693683 logp*logq = 39.62492142343948512 -------------- ************************************* p = 509; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180049965573075598.5 -------------- Searches starting with [509,587]-exponents: u = 1, v = 43 n_start has 122 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(509,587) = 0.5816401404711663624 D2(509,587) = 0.007768006928130317476 C1(509,587) = 0.7989343768601113599 C2(509,587) = 1.540498892431714030 C3(509,587) = 4.313999845461254981 C4(509,587) = 4696 Sum = 4167.579903619448294 Averaged sum = 0.4163832454410478863 logp*logq = 39.73201079379797332 -------------- ************************************* p = 509; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 191831191126801422.4 -------------- Searches starting with [509,593]-exponents: u = 1, v = 40 n_start has 114 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(509,593) = 0.6262007081488906586 D2(509,593) = 0.04370810656404655130 C1(509,593) = 0.9327560977627245924 C2(509,593) = 1.592617725462459302 C3(509,593) = 5.510902345190553901 C4(509,593) = 4744 Sum = 4113.263262772125765 Averaged sum = 0.4109564654583001064 logp*logq = 39.79539216732288112 -------------- ************************************* p = 509; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204252927708938460.9 -------------- Searches starting with [509,599]-exponents: u = 1, v = 38 n_start has 109 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(509,599) = 0.5717761672166289176 D2(509,599) = 0.06442029519390655006 C1(509,599) = 0.7786930265141449774 C2(509,599) = 1.630646741532937063 C3(509,599) = 4.157144884500054029 C4(509,599) = 4792 Sum = 3986.045643235916206 Averaged sum = 0.3982461427950760521 logp*logq = 39.85813546249635859 -------------- ************************************* p = 509; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 208540634834689745.2 -------------- Searches starting with [509,601]-exponents: u = 1, v = 37 n_start has 106 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(509,601) = 0.8991086181237844152 D2(509,601) = 0.04327430094065677934 C1(509,601) = 1.277846649214068068 C2(509,601) = 1.618403448882014489 C3(509,601) = 10.36219861176346222 C4(509,601) = 4808 Sum = 4727.635206858904810 Averaged sum = 0.4723384161113902298 logp*logq = 39.87891030845417639 -------------- ************************************* p = 509; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 221859912503866717.4 -------------- Searches starting with [509,607]-exponents: u = 1, v = 35 n_start has 101 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(509,607) = 0.5363726666684865722 D2(509,607) = 0.03768525743211583722 C1(509,607) = 0.7651216378064829674 C2(509,607) = 1.632159678937402274 C3(509,607) = 4.055183761497611558 C4(509,607) = 4856 Sum = 4181.887237993960850 Averaged sum = 0.4178126923762574533 logp*logq = 39.94082255284568933 -------------- ************************************* p = 509; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 235886184484359486.6 -------------- Searches starting with [509,613]-exponents: u = 1, v = 33 n_start has 95 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(509,613) = 0.7862792571353231522 D2(509,613) = 0.01481484586413486055 C1(509,613) = 1.126071430275033540 C2(509,613) = 1.630256604798419964 C3(509,613) = 7.849507690540373742 C4(509,613) = 4904 Sum = 4472.796183467633976 Averaged sum = 0.4468774286609685259 logp*logq = 40.00212581447306371 -------------- ************************************* p = 509; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 245644608314510706.5 -------------- Searches starting with [509,617]-exponents: u = 1, v = 32 n_start has 92 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(509,617) = 0.5299273994849407126 D2(509,617) = 0.01598514412095343679 C1(509,617) = 0.7404854841251860394 C2(509,617) = 1.642834688850382400 C3(509,617) = 3.876441248287988539 C4(509,617) = 4936 Sum = 4174.077073988484669 Averaged sum = 0.4170323782584158926 logp*logq = 40.04266220463602737 -------------- ************************************* p = 509; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 250649503287605344.2 -------------- Searches starting with [509,619]-exponents: u = 1, v = 31 n_start has 90 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(509,619) = 0.6647374700903979305 D2(509,619) = 0.05557604701616837698 C1(509,619) = 1.012603483419462811 C2(509,619) = 1.682887912237795398 C3(509,619) = 6.377847521740395569 C4(509,619) = 4952 Sum = 3921.841127819248413 Averaged sum = 0.3918314644639073247 logp*logq = 40.06283195692106812 -------------- ************************************* p = 509; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 282512342579460947.0 -------------- Searches starting with [509,631]-exponents: u = 1, v = 29 n_start has 84 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(509,631) = 1.234111727585875368 D2(509,631) = 0.01880702594132191598 C1(509,631) = 1.898038264753348560 C2(509,631) = 1.683615462706044806 C3(509,631) = 32.23239327047418449 C4(509,631) = 5048 Sum = 2326.668629969931788 Averaged sum = 0.2324576511109932849 logp*logq = 40.18249863508954117 -------------- ************************************* p = 509; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 311599504801172022.2 -------------- Searches starting with [509,641]-exponents: u = 1, v = 27 n_start has 79 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(509,641) = 0.9676537366697059272 D2(509,641) = 0.1015566716473863367 C1(509,641) = 1.499014745527907217 C2(509,641) = 1.781500564619044366 C3(509,641) = 15.53120157258979972 C4(509,641) = 5128 Sum = 2145.467739192434465 Averaged sum = 0.2143538554493390413 logp*logq = 40.28049511969283216 -------------- ************************************* p = 509; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 317708554224902687.7 -------------- Searches starting with [509,643]-exponents: u = 1, v = 26 n_start has 76 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(509,643) = 1.029399388164313182 D2(509,643) = 0.02854941758818689942 C1(509,643) = 1.455657038585011725 C2(509,643) = 1.722544749915779622 C3(509,643) = 14.34664918504567467 C4(509,643) = 5144 Sum = 4653.203099698168643 Averaged sum = 0.4649018982613816208 logp*logq = 40.29991086130337779 -------------- ************************************* p = 509; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 330228695360494118.7 -------------- Searches starting with [509,647]-exponents: u = 1, v = 25 n_start has 73 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(509,647) = 1.036871546881666935 D2(509,647) = 0.09867021929250336007 C1(509,647) = 1.612517640268548839 C2(509,647) = 1.793572812070477491 C3(509,647) = 19.11618016780818340 C4(509,647) = 5176 Sum = 4896.013854328689938 Averaged sum = 0.4891611404065031410 logp*logq = 40.33856182559026327 -------------- ************************************* p = 509; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 349784107541863185.4 -------------- Searches starting with [509,653]-exponents: u = 1, v = 25 n_start has 74 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(509,653) = 1.074279582129891958 D2(509,653) = 0.08521706348192993268 C1(509,653) = 1.677607131514799120 C2(509,653) = 1.795895529099158992 C3(509,653) = 21.53401658757732533 C4(509,653) = 5224 Sum = 2052.880614344531132 Averaged sum = 0.2051034683129714389 logp*logq = 40.39609252347812390 -------------- ************************************* p = 509; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 370302642380503002.1 -------------- Searches starting with [509,659]-exponents: u = 1, v = 24 n_start has 71 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(509,659) = 0.6673912773921720300 D2(509,659) = 0.06235130792163368350 C1(509,659) = 1.046795288820444215 C2(509,659) = 1.789713874876789603 C3(509,659) = 6.789611840990760514 C4(509,659) = 5272 Sum = 3706.790488578349574 Averaged sum = 0.3703457376939104380 logp*logq = 40.45309701858794959 -------------- ************************************* p = 509; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 377362718988328583.8 -------------- Searches starting with [509,661]-exponents: u = 1, v = 23 n_start has 68 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(509,661) = 0.6453428157351704118 D2(509,661) = 0.09566103123620050291 C1(509,661) = 0.8742274344098528951 C2(509,661) = 1.823471824131291990 C3(509,661) = 4.951222072766326376 C4(509,661) = 5288 Sum = 4009.599133171660987 Averaged sum = 0.4005993738806734925 logp*logq = 40.47198323915098310 -------------- ************************************* p = 509; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 422140361581325267.1 -------------- Searches starting with [509,673]-exponents: u = 1, v = 22 n_start has 65 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(509,673) = 0.6834567046662205908 D2(509,673) = 0.01962762172407069775 C1(509,673) = 0.9778122243331056161 C2(509,673) = 1.783970887017744764 C3(509,673) = 5.984487396104397558 C4(509,673) = 5384 Sum = 3949.780532991781855 Averaged sum = 0.3946228926957520087 logp*logq = 40.58411426402641369 -------------- ************************************* p = 509; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 438022816935530313.9 -------------- Searches starting with [509,677]-exponents: u = 1, v = 21 n_start has 63 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(509,677) = 0.6393957126199935971 D2(509,677) = 0.07455707980903485535 C1(509,677) = 0.8699191629276284425 C2(509,677) = 1.839787579323017248 C3(509,677) = 4.912344324638665624 C4(509,677) = 5416 Sum = 4048.110555844775834 Averaged sum = 0.4044470532365646751 logp*logq = 40.62104739739042909 -------------- ************************************* p = 509; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 462785446246678335.1 -------------- Searches starting with [509,683]-exponents: u = 1, v = 21 n_start has 63 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(509,683) = 0.7643812095466421825 D2(509,683) = 0.02023869209148837529 C1(509,683) = 1.061362252494711111 C2(509,683) = 1.805588219518192203 C3(509,683) = 6.973016782832350403 C4(509,683) = 5464 Sum = 4054.484945516605788 Averaged sum = 0.4050839190245384941 logp*logq = 40.67603994255915299 -------------- ************************************* p = 509; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 497621715854846520.8 -------------- Searches starting with [509,691]-exponents: u = 1, v = 20 n_start has 60 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(509,691) = 0.6136552864682719975 D2(509,691) = 0.1322380162277290054 C1(509,691) = 0.8539481753628424316 C2(509,691) = 1.919342440786244916 C3(509,691) = 4.770867079156828690 C4(509,691) = 5528 Sum = 4169.498689007640982 Averaged sum = 0.4165749514444640805 logp*logq = 40.74861657657079856 -------------- ************************************* p = 509; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 544238945826044895.8 -------------- Searches starting with [509,701]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(509,701) = 0.7288598537533976862 D2(509,701) = 0.1063232354587570985 C1(509,701) = 1.087987207257446506 C2(509,701) = 1.915872925066900397 C3(509,701) = 7.321135779918633048 C4(509,701) = 5608 Sum = 3729.861717151899020 Averaged sum = 0.3726507860077828974 logp*logq = 40.83816478398038775 -------------- ************************************* p = 509; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 584123225038455441.2 -------------- Searches starting with [509,709]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(509,709) = 0.7170268382369084314 D2(509,709) = 0.04223999765555942752 C1(509,709) = 1.002546750859183350 C2(509,709) = 1.875469962385618683 C3(509,709) = 6.261558789024493338 C4(509,709) = 5672 Sum = 4070.319423406665289 Averaged sum = 0.4066659429919737525 logp*logq = 40.90888835725934514 -------------- ************************************* p = 509; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 637403298667594937.7 -------------- Searches starting with [509,719]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(509,719) = 1.057606923170369150 D2(509,719) = 0.1115507178262373842 C1(509,719) = 1.375776426383774131 C2(509,719) = 1.202349532881713181 C3(509,719) = 12.39574570123719705 C4(509,719) = 5752 Sum = 2266.955422042805766 Averaged sum = 0.2264916996745734605 logp*logq = 40.99617897207286599 -------------- ************************************* p = 509; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 682911558332788850.3 -------------- Searches starting with [509,727]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(509,727) = 0.8141412789820315442 D2(509,727) = 0.07753119996167349381 C1(509,727) = 1.226693064773751750 C2(509,727) = 1.938503035467506868 C3(509,727) = 9.436311590598590311 C4(509,727) = 5816 Sum = 3776.152262546014566 Averaged sum = 0.3772756781442716121 logp*logq = 41.06514175610100522 -------------- ************************************* p = 509; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 718805818564480412.1 -------------- Searches starting with [509,733]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(509,733) = 0.7219492942246608185 D2(509,733) = 0.1139985202544465960 C1(509,733) = 1.179030072321894649 C2(509,733) = 1.319061555151237430 C3(509,733) = 8.648214704589838143 C4(509,733) = 5864 Sum = 3746.440010432410240 Averaged sum = 0.3743071246310730582 logp*logq = 41.11636764461826730 -------------- ************************************* p = 509; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 756270813710566213.6 -------------- Searches starting with [509,739]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(509,739) = 0.8418442362698747922 D2(509,739) = 0.02391559717820510102 C1(509,739) = 1.161406933792139126 C2(509,739) = 1.913577563294011460 C3(509,739) = 8.373790346966312530 C4(509,739) = 5912 Sum = 4169.697918073934792 Averaged sum = 0.4165948564366005387 logp*logq = 41.16717592613891172 -------------- ************************************* p = 509; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 782147277341464288.4 -------------- Searches starting with [509,743]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(509,743) = 0.7518933596331668779 D2(509,743) = 0.06303506547418354299 C1(509,743) = 1.138857247301854972 C2(509,743) = 1.953535548656707483 C3(509,743) = 8.035312649495948647 C4(509,743) = 5944 Sum = 3545.797560182875846 Averaged sum = 0.3542609211892172891 logp*logq = 41.20081945191958391 -------------- ************************************* p = 509; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 836135035871734597.8 -------------- Searches starting with [509,751]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(509,751) = 1.006258146652452071 D2(509,751) = 0.09030821035337522996 C1(509,751) = 1.656147835471267607 C2(509,751) = 1.147130084576390677 C3(509,751) = 20.70485663558663613 C4(509,751) = 6008 Sum = 1350.529495097797886 Averaged sum = 0.1349315111497450181 logp*logq = 41.26756652111380289 -------------- ************************************* p = 509; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 878648968753357608.2 -------------- Searches starting with [509,757]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(509,757) = 0.5470668483258636765 D2(509,757) = 0.007799714644292864545 C1(509,757) = 0.8029551254447557350 C2(509,757) = 1.930032968513112462 C3(509,757) = 4.345855159855008619 C4(509,757) = 6056 Sum = 3929.839035999408678 Averaged sum = 0.3926305361174351761 logp*logq = 41.31716185987914805 -------------- ************************************* p = 509; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 907987958395428714.6 -------------- Searches starting with [509,761]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(509,761) = 1.100049848795964442 D2(509,761) = 0.04232007539456655878 C1(509,761) = 1.675720655064570488 C2(509,761) = 1.965379263388318147 C3(509,761) = 21.45981325569427588 C4(509,761) = 6088 Sum = 4284.592096789127216 Averaged sum = 0.4280739431300956355 logp*logq = 41.35000751174499845 -------------- ************************************* p = 509; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 969138602000745132.7 -------------- Searches starting with [509,769]-exponents: u = 1, v = 15 n_start has 46 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(509,769) = 0.6800740072198513186 D2(509,769) = 0.09738265813192756879 C1(509,769) = 1.128958178468600609 C2(509,769) = 1.362135085750089625 C3(509,769) = 7.891079136301881751 C4(509,769) = 6152 Sum = 3986.817082822354455 Averaged sum = 0.3983232173865875167 logp*logq = 41.41518403269324100 -------------- ************************************* p = 509; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.000987279022751379 E18 -------------- Searches starting with [509,773]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(509,773) = 0.8528726702676972268 D2(509,773) = 0.1078613090193749960 C1(509,773) = 1.149993557302174200 C2(509,773) = 1.342418728536618823 C3(509,773) = 8.200726815477562222 C4(509,773) = 6184 Sum = 4041.999940691703577 Averaged sum = 0.4038365411821064618 logp*logq = 41.44751846587617547 -------------- ************************************* p = 509; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.119468754973528928 E18 -------------- Searches starting with [509,787]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(509,787) = 0.7049430737722542850 D2(509,787) = 0.06046914655872144029 C1(509,787) = 0.9613591686478830346 C2(509,787) = 2.020817582698208538 C3(509,787) = 5.807007586162986835 C4(509,787) = 6296 Sum = 3757.738235823929467 Averaged sum = 0.3754359312442731008 logp*logq = 41.55938592075521119 -------------- ************************************* p = 509; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.211122744975158318 E18 -------------- Searches starting with [509,797]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(509,797) = 0.8060082596085121925 D2(509,797) = 0.1026551943121981203 C1(509,797) = 1.100737458268955901 C2(509,797) = 1.387218783632717803 C3(509,797) = 7.493945993143773998 C4(509,797) = 6376 Sum = 4186.522542824068863 Averaged sum = 0.4182758060569556262 logp*logq = 41.63807949168835545 -------------- ************************************* p = 509; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.329345885646564045 E18 -------------- Searches starting with [509,809]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(509,809) = 0.5898422026318657167 D2(509,809) = 0.009635839734202099828 C1(509,809) = 0.9103590645819353426 C2(509,809) = 2.010198160006542176 C3(509,809) = 5.289622981938353154 C4(509,809) = 6472 Sum = 3909.790369280732446 Averaged sum = 0.3906274722030904632 logp*logq = 41.73121867984233467 -------------- ************************************* p = 509; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.349961096061007870 E18 -------------- Searches starting with [509,811]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(509,811) = 0.6198873612068229239 D2(509,811) = 0.02365531349128183675 C1(509,811) = 0.8589332283039876510 C2(509,811) = 2.024612355408287081 C3(509,811) = 4.814583602563819663 C4(509,811) = 6488 Sum = 4109.396391236638999 Averaged sum = 0.4105701260102546707 logp*logq = 41.74660744819533480 -------------- ************************************* p = 509; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.457109632326517091 E18 -------------- Searches starting with [509,821]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(509,821) = 0.9037269527468177381 D2(509,821) = 0.06276323036269570988 C1(509,821) = 1.530366325756158264 C2(509,821) = 1.189931286664415322 C3(509,821) = 16.44821829427216386 C4(509,821) = 6568 Sum = 3071.952009441292648 Averaged sum = 0.3069189738676483813 logp*logq = 41.82298644352323270 -------------- ************************************* p = 509; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.479373791234844430 E18 -------------- Searches starting with [509,823]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(509,823) = 0.9511135069076468372 D2(509,823) = 0.06625378296751218341 C1(509,823) = 1.610560415089688533 C2(509,823) = 1.185214134466050184 C3(509,823) = 19.04784239978439958 C4(509,823) = 6584 Sum = 3326.642825884078805 Averaged sum = 0.3323651539498530128 logp*logq = 41.83815055810033667 -------------- ************************************* p = 509; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.524759775183676062 E18 -------------- Searches starting with [509,827]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(509,827) = 0.6074123111104349975 D2(509,827) = 0.09327910670812223920 C1(509,827) = 0.8589342012761332844 C2(509,827) = 1.837762828612737182 C3(509,827) = 4.814592174044257736 C4(509,827) = 6616 Sum = 3788.102299536678111 Averaged sum = 0.3784696073070914288 logp*logq = 41.86836854707419427 -------------- ************************************* p = 509; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.547887507205379004 E18 -------------- Searches starting with [509,829]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(509,829) = 0.9532873578082584325 D2(509,829) = 0.09203271992038146014 C1(509,829) = 1.315153323147344299 C2(509,829) = 1.836936084987640646 C3(509,829) = 11.09425091196850458 C4(509,829) = 6632 Sum = 4166.150683067953646 Averaged sum = 0.4162404519000852879 logp*logq = 41.88342277665581541 -------------- ************************************* p = 509; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.667993806214348333 E18 -------------- Searches starting with [509,839]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(509,839) = 0.8606519805860240285 D2(509,839) = 0.07930742800958345002 C1(509,839) = 1.150470795819439798 C2(509,839) = 1.691908857342484374 C3(509,839) = 8.207891115738286955 C4(509,839) = 6712 Sum = 3473.329514560884379 Averaged sum = 0.3470206328864905963 logp*logq = 41.95815326452173261 -------------- ************************************* p = 509; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.849215290942988803 E18 -------------- Searches starting with [509,853]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(509,853) = 0.8581787127623519323 D2(509,853) = 0.05520599993970056860 C1(509,853) = 1.159603637779191437 C2(509,853) = 1.299110437376718630 C3(509,853) = 8.346205593151999740 C4(509,853) = 6824 Sum = 3954.559053027204941 Averaged sum = 0.3951003150192032112 logp*logq = 42.06129305594091891 -------------- ************************************* p = 509; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.903927935725082032 E18 -------------- Searches starting with [509,857]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(509,857) = 0.8945201489980788904 D2(509,857) = 0.05582007946458601143 C1(509,857) = 1.532647918961954380 C2(509,857) = 1.205676450523852438 C3(509,857) = 16.51702967104768452 C4(509,857) = 6856 Sum = 3600.676204302577101 Averaged sum = 0.3597438509643897593 logp*logq = 42.09045076066182332 -------------- ************************************* p = 509; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.931789826083391006 E18 -------------- Searches starting with [509,859]-exponents: u = 1, v = 11 n_start has 35 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(509,859) = 0.9240842910164773616 D2(509,859) = 0.07218013272951890411 C1(509,859) = 1.265270873744411306 C2(509,859) = 1.360176241182878029 C3(509,859) = 10.12647892469231421 C4(509,859) = 6872 Sum = 4132.702426545921646 Averaged sum = 0.4128986338840964778 logp*logq = 42.10497861809443561 -------------- ************************************* p = 509; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.988541506281317130 E18 -------------- Searches starting with [509,863]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(509,863) = 0.7346757162368076134 D2(509,863) = 0.07323670091991012293 C1(509,863) = 1.057910791403507189 C2(509,863) = 1.855970942955064045 C3(509,863) = 6.929118315326935006 C4(509,863) = 6904 Sum = 3707.664609481598460 Averaged sum = 0.3704330711840941613 logp*logq = 42.13393313250192543 -------------- ************************************* p = 509; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.198325402545271774 E18 -------------- Searches starting with [509,877]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(509,877) = 0.7705124207133787912 D2(509,877) = 0.06027431973669139315 C1(509,877) = 1.057070795326468527 C2(509,877) = 1.705908542065564504 C3(509,877) = 6.918476448142137495 C4(509,877) = 7016 Sum = 3976.312950900681162 Averaged sum = 0.3972737487162235150 logp*logq = 42.23422756375076054 -------------- ************************************* p = 509; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.261565962250407088 E18 -------------- Searches starting with [509,881]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(509,881) = 0.5842703700161140859 D2(509,881) = 0.05826314203263498630 C1(509,881) = 0.8018879209874119507 C2(509,881) = 1.704678924662812435 C3(509,881) = 4.337377124414870593 C4(509,881) = 7048 Sum = 3880.180130411132799 Averaged sum = 0.3876691108413560594 logp*logq = 42.26258915088073856 -------------- ************************************* p = 509; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.293754554033574254 E18 -------------- Searches starting with [509,883]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(509,883) = 0.6412154941048858474 D2(509,883) = 0.05428362855741439139 C1(509,883) = 0.8632925329400292222 C2(509,883) = 1.615332571252657684 C3(509,883) = 4.853140803134896503 C4(509,883) = 7064 Sum = 3460.212782756005936 Averaged sum = 0.3457101391503652648 logp*logq = 42.27672169212132739 -------------- ************************************* p = 509; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.359286688594226523 E18 -------------- Searches starting with [509,887]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(509,887) = 0.8862378368895913295 D2(509,887) = 0.007007585779155157628 C1(509,887) = 1.231226129104009648 C2(509,887) = 2.109396900586119637 C3(509,887) = 9.514906212976447055 C4(509,887) = 7096 Sum = 4305.829916356899226 Averaged sum = 0.4301958154018282772 logp*logq = 42.30489099664775683 -------------- ************************************* p = 509; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.711025920638100174 E18 -------------- Searches starting with [509,907]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(509,907) = 0.5733144407241059847 D2(509,907) = 0.05055024703184456565 C1(509,907) = 0.8305856779607952891 C2(509,907) = 1.877289894080424911 C3(509,907) = 4.571219818055637503 C4(509,907) = 7256 Sum = 3997.327624462757490 Averaged sum = 0.3993733264524685274 logp*logq = 42.44385880564660039 -------------- ************************************* p = 509; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.786406268748912908 E18 -------------- Searches starting with [509,911]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(509,911) = 0.5599624675966117028 D2(509,911) = 0.04849226967810217433 C1(509,911) = 0.7924715103677094680 C2(509,911) = 1.876021649977814179 C3(509,911) = 4.263284864616982038 C4(509,911) = 7288 Sum = 3904.993428202251848 Averaged sum = 0.3901482094317366219 logp*logq = 42.47128436372627992 -------------- ************************************* p = 509; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.942455349629379580 E18 -------------- Searches starting with [509,919]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(509,919) = 0.5868902310594800966 D2(509,919) = 0.04443775604976628835 C1(509,919) = 0.8085743168723879692 C2(509,919) = 1.873536063160885754 C3(509,919) = 4.390768977333473618 C4(509,919) = 7352 Sum = 4003.759570005615014 Averaged sum = 0.4000159426521745443 logp*logq = 42.52577605963240919 -------------- ************************************* p = 509; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.147774767596705641 E18 -------------- Searches starting with [509,929]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(509,929) = 0.6234159173835797532 D2(509,929) = 0.03632184118156852313 C1(509,929) = 0.8484567259336946780 C2(509,929) = 1.720857924225435508 C3(509,929) = 4.723169039490962023 C4(509,929) = 7432 Sum = 3912.414824874785016 Averaged sum = 0.3908896817738820078 logp*logq = 42.59322745411090235 -------------- ************************************* p = 509; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.320569075017336792 E18 -------------- Searches starting with [509,937]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(509,937) = 0.6775285645446083580 D2(509,937) = 0.02979855569051300777 C1(509,937) = 0.9227146065843815327 C2(509,937) = 1.563718694521688679 C3(509,937) = 5.410571708525140230 C4(509,937) = 7496 Sum = 3914.976901270495510 Averaged sum = 0.3911456590339190239 logp*logq = 42.64666785027027517 -------------- ************************************* p = 509; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.409908696954419773 E18 -------------- Searches starting with [509,941]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(509,941) = 1.002966124818242461 D2(509,941) = 0.02605854442795060884 C1(509,941) = 1.424200729310345858 C2(509,941) = 1.444209672901601905 C3(509,941) = 13.54420286516248845 C4(509,941) = 7528 Sum = 3974.000646433651359 Averaged sum = 0.3970427261897943210 logp*logq = 42.67321718974310829 -------------- ************************************* p = 509; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.547697020176462925 E18 -------------- Searches starting with [509,947]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(509,947) = 0.8800684901012878683 D2(509,947) = 0.02007901742359620064 C1(509,947) = 1.551722830668648212 C2(509,947) = 1.213993162396980698 C3(509,947) = 17.10369694546530388 C4(509,947) = 7576 Sum = 3772.313254196462782 Averaged sum = 0.3768921225093878291 logp*logq = 42.71283034015506948 -------------- ************************************* p = 509; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.690129774544317849 E18 -------------- Searches starting with [509,953]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(509,953) = 1.130958581989766953 D2(509,953) = 0.02867894612221596142 C1(509,953) = 1.531632140459991815 C2(509,953) = 1.905097016750160443 C3(509,953) = 16.48635896724085122 C4(509,953) = 7624 Sum = 4358.829193871604640 Averaged sum = 0.4354909775074038005 logp*logq = 42.75219330058003712 -------------- ************************************* p = 509; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.041246178644882652 E18 -------------- Searches starting with [509,967]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(509,967) = 0.7199245025116653090 D2(509,967) = 0.02215766985778378930 C1(509,967) = 1.025031463611893751 C2(509,967) = 1.901244560573853428 C3(509,967) = 6.524543549841634109 C4(509,967) = 7736 Sum = 4087.448014775086476 Averaged sum = 0.4083772619417610627 logp*logq = 42.84308477836247185 -------------- ************************************* p = 509; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.146565829059872100 E18 -------------- Searches starting with [509,971]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(509,971) = 0.6402926671931398199 D2(509,971) = 0.02033151406005535981 C1(509,971) = 0.9783414486078122966 C2(509,971) = 1.900173698756338018 C3(509,971) = 5.990285330784756648 C4(509,971) = 7768 Sum = 3672.354103646979411 Averaged sum = 0.3669051956885782206 logp*logq = 42.86881215448923001 -------------- ************************************* p = 509; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.308860593031913393 E18 -------------- Searches starting with [509,977]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(509,977) = 0.6396704448042763351 D2(509,977) = 0.01762210326222290287 C1(509,977) = 0.8966946369102912943 C2(509,977) = 1.898591307190396712 C3(509,977) = 5.159007543922618019 C4(509,977) = 7816 Sum = 4127.271051370901619 Averaged sum = 0.4123559847508144289 logp*logq = 42.90720517949259011 -------------- ************************************* p = 509; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.476455139880946223 E18 -------------- Searches starting with [509,983]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(509,983) = 0.6554001027839709852 D2(509,983) = 0.01372203721910590409 C1(509,983) = 1.049297977884872415 C2(509,983) = 1.741489702717189197 C3(509,983) = 6.820775104049671797 C4(509,983) = 7864 Sum = 3862.714582758965313 Averaged sum = 0.3859241265619907396 logp*logq = 42.94536314368615084 -------------- ************************************* p = 509; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.708399504601887202 E18 -------------- Searches starting with [509,991]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(509,991) = 0.5988168067855635128 D2(509,991) = 0.01049754824038933823 C1(509,991) = 0.9179111014760498149 C2(509,991) = 1.739706324030194368 C3(509,991) = 5.363224917395626003 C4(509,991) = 7928 Sum = 3834.258886474719795 Averaged sum = 0.3830811156433929259 logp*logq = 42.99587971623319678 -------------- ************************************* p = 509; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.888906051605409401 E18 -------------- Searches starting with [509,997]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(509,997) = 0.6117021273473505820 D2(509,997) = 0.007674692261287382819 C1(509,997) = 0.8484658015943806016 C2(509,997) = 1.644195906275896318 C3(509,997) = 4.723247474808195910 C4(509,997) = 7976 Sum = 3986.249394599983645 Averaged sum = 0.3982664996103490504 logp*logq = 43.03350024102435403 -------------- ************************************* p = 521; q = 523; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 101453504549353972.6 -------------- Searches starting with [521,523]-exponents: u = 1, v = 1632 n_start has 4440 digits --- performed 5000 steps in the continued fraction search [521,523]-exponents: u = 107, v = 1523 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(521,523) = 0.6339495893589960677 D2(521,523) = 0.4122508890525189710 C1(521,523) = 0.7910623128033550778 C2(521,523) = 1.315856765823201077 C3(521,523) = 4.264878015088466503 C4(521,523) = 4184 Sum = 6025.142376055225427 Averaged sum = 0.6025744950550280455 logp*logq = 39.15837700518274306 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(521,523) = 0.6339495893589960677 D2(521,523) = 0.4122508890525189710 C1(521,523) = 0.7910623128033550778 C2(521,523) = 1.315856765823201077 C3(521,523) = 4.264878015088466503 C4(521,523) = 4184 Sum = 6025.142376055225427 Averaged sum = 0.6025744950550280455 logp*logq = 39.15837700518274306 -------------- ************************************* p = 521; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 125371524054210614.8 -------------- Searches starting with [521,541]-exponents: u = 1, v = 166 n_start has 457 digits starting right neighbors generation We generated 3169 left neighbors We generated 6841 right neighbors We generated 10009 non-negative rho_i D1(521,541) = 0.8529604194776501088 D2(521,541) = 0.003663347507497785490 C1(521,541) = 1.158530269101130283 C2(521,541) = 1.228353657582846931 C3(521,541) = 8.365921267246971395 C4(521,541) = 4328 Sum = 4662.120216757677307 Averaged sum = 0.4657928081484341400 logp*logq = 39.37005791641532110 -------------- ************************************* p = 521; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 134327314098188854.0 -------------- Searches starting with [521,547]-exponents: u = 1, v = 128 n_start has 354 digits starting right neighbors generation We generated 1844 left neighbors We generated 8166 right neighbors We generated 10009 non-negative rho_i D1(521,547) = 0.5664788035195811126 D2(521,547) = 0.01168973063773741102 C1(521,547) = 0.7802000959181054751 C2(521,547) = 1.284640147792459129 C3(521,547) = 4.180779419340481735 C4(521,547) = 4376 Sum = 4377.607446644323949 Averaged sum = 0.4373671142615969576 logp*logq = 39.43905585898327299 -------------- ************************************* p = 521; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 150447076134479383.3 -------------- Searches starting with [521,557]-exponents: u = 1, v = 93 n_start has 259 digits starting right neighbors generation We generated 989 left neighbors We generated 9021 right neighbors We generated 10009 non-negative rho_i D1(521,557) = 0.5763370782537248178 D2(521,557) = 0.01631347941711698239 C1(521,557) = 0.8083843342149134856 C2(521,557) = 1.355291118825042114 C3(521,557) = 4.402504235924351775 C4(521,557) = 4456 Sum = 4556.854700926119320 Averaged sum = 0.4552757219428633550 logp*logq = 39.55238776366349335 -------------- ************************************* p = 521; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 160876646941088256.8 -------------- Searches starting with [521,563]-exponents: u = 1, v = 80 n_start has 223 digits starting right neighbors generation We generated 774 left neighbors We generated 9236 right neighbors We generated 10009 non-negative rho_i D1(521,563) = 0.5947738992326913392 D2(521,563) = 0.006442424371743415537 C1(521,563) = 0.8422411205527596705 C2(521,563) = 1.380512281765173677 C3(521,563) = 4.684456857625420446 C4(521,563) = 4504 Sum = 4528.296787596924005 Averaged sum = 0.4524224985110324713 logp*logq = 39.61941429817061622 -------------- ************************************* p = 521; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 171907045184754038.4 -------------- Searches starting with [521,569]-exponents: u = 1, v = 70 n_start has 196 digits starting right neighbors generation We generated 547 left neighbors We generated 9463 right neighbors We generated 10009 non-negative rho_i D1(521,569) = 1.063201442847031410 D2(521,569) = 0.02697829316476499401 C1(521,569) = 1.519019340455789171 C2(521,569) = 1.429375541132921965 C3(521,569) = 16.20181951822590401 C4(521,569) = 4552 Sum = 5800.073651182923755 Averaged sum = 0.5794858278732064896 logp*logq = 39.68573029066416211 -------------- ************************************* p = 521; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 175722126104000634.3 -------------- Searches starting with [521,571]-exponents: u = 1, v = 68 n_start has 191 digits starting right neighbors generation We generated 593 left neighbors We generated 9417 right neighbors We generated 10009 non-negative rho_i D1(521,571) = 0.6107342903931282037 D2(521,571) = 0.009321146934182549334 C1(521,571) = 0.8752049268365757070 C2(521,571) = 1.423475786580627654 C3(521,571) = 4.976312476135864368 C4(521,571) = 4568 Sum = 3549.000929490116870 Averaged sum = 0.3545809700759433380 logp*logq = 39.70768031333045655 -------------- ************************************* p = 521; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 187596922013248577.5 -------------- Searches starting with [521,577]-exponents: u = 1, v = 61 n_start has 172 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(521,577) = 0.5967599211781524287 D2(521,577) = 0.01841298142601863356 C1(521,577) = 0.8618782971526232715 C2(521,577) = 1.458954516742258547 C3(521,577) = 4.856192820409332137 C4(521,577) = 4616 Sum = 3551.923705072756757 Averaged sum = 0.3548729848209368325 logp*logq = 39.77307202416936479 -------------- ************************************* p = 521; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 208885318887108957.0 -------------- Searches starting with [521,587]-exponents: u = 1, v = 52 n_start has 147 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(521,587) = 0.6743873157924572587 D2(521,587) = 0.01553424459292246332 C1(521,587) = 0.9390000148057506173 C2(521,587) = 1.498114446667413315 C3(521,587) = 5.593792555683491702 C4(521,587) = 4696 Sum = 4229.383964044099458 Averaged sum = 0.4225580941197022138 logp*logq = 39.88056178281836477 -------------- ************************************* p = 521; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 222606075812184946.1 -------------- Searches starting with [521,593]-exponents: u = 1, v = 48 n_start has 136 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(521,593) = 0.8969152921169016621 D2(521,593) = 0.001250418114932552020 C1(521,593) = 1.225997796022692597 C2(521,593) = 1.508705717680211539 C3(521,593) = 9.467531833807759840 C4(521,593) = 4744 Sum = 4027.068241852074781 Averaged sum = 0.4023447139426590849 logp*logq = 39.94418012813338559 -------------- ************************************* p = 521; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 237076201440811980.5 -------------- Searches starting with [521,599]-exponents: u = 1, v = 44 n_start has 125 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(521,599) = 0.6699512452270786909 D2(521,599) = 0.006500850270170225295 C1(521,599) = 0.9907847166021196005 C2(521,599) = 1.535006531402774451 C3(521,599) = 6.150939385226125096 C4(521,599) = 4792 Sum = 4333.517078531227992 Averaged sum = 0.4329620420153090211 logp*logq = 40.00715800943442631 -------------- ************************************* p = 521; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242071741322839813.8 -------------- Searches starting with [521,601]-exponents: u = 1, v = 43 n_start has 123 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(521,601) = 0.6225269404707980864 D2(521,601) = 0.003037551333141533434 C1(521,601) = 0.9223706488390433733 C2(521,601) = 1.539013877197395444 C3(521,601) = 5.425811919523229242 C4(521,601) = 4808 Sum = 4172.989359000090777 Averaged sum = 0.4169237045658997679 logp*logq = 40.02801052888150688 -------------- ************************************* p = 521; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 257592236853400682.7 -------------- Searches starting with [521,607]-exponents: u = 1, v = 40 n_start has 115 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(521,607) = 0.8619611023178244819 D2(521,607) = 0.03462966777421035256 C1(521,607) = 1.284793172936842130 C2(521,607) = 1.586773105548189636 C3(521,607) = 10.54518785501479705 C4(521,607) = 4856 Sum = 4883.884024662791505 Averaged sum = 0.4879492481429504951 logp*logq = 40.09015425224811027 -------------- ************************************* p = 521; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 273940333317777171.3 -------------- Searches starting with [521,613]-exponents: u = 1, v = 38 n_start has 109 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(521,613) = 0.7441113237531972406 D2(521,613) = 0.05114984477577282179 C1(521,613) = 1.056354183174088014 C2(521,613) = 1.620600114538345692 C3(521,613) = 6.936702387986194328 C4(521,613) = 4904 Sum = 4367.035398094655935 Averaged sum = 0.4363108600354337031 logp*logq = 40.15168671597130065 -------------- ************************************* p = 521; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 285316265823474900.3 -------------- Searches starting with [521,617]-exponents: u = 1, v = 36 n_start has 104 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(521,617) = 1.170656179532506945 D2(521,617) = 0.006905229130762635707 C1(521,617) = 1.760717620599702099 C2(521,617) = 1.594512575866207183 C3(521,617) = 25.23615280901458634 C4(521,617) = 4936 Sum = 5904.024187342469949 Averaged sum = 0.5898715343533289988 logp*logq = 40.19237466455604357 -------------- ************************************* p = 521; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 291151407654807337.5 -------------- Searches starting with [521,619]-exponents: u = 1, v = 36 n_start has 104 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(521,619) = 0.5996836561338786178 D2(521,619) = 0.05005684037431533146 C1(521,619) = 0.8327070480368144405 C2(521,619) = 1.638119045541773286 C3(521,619) = 4.603280699434527164 C4(521,619) = 4952 Sum = 3997.024959693739217 Averaged sum = 0.3993430871909021098 logp*logq = 40.21261982799170011 -------------- ************************************* p = 521; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 328309750448187660.1 -------------- Searches starting with [521,631]-exponents: u = 1, v = 32 n_start has 93 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(521,631) = 0.8145286205288523606 D2(521,631) = 0.07784564076951720373 C1(521,631) = 1.138125604289951020 C2(521,631) = 1.697403965652409598 C3(521,631) = 8.058718006738338594 C4(521,631) = 5048 Sum = 4408.943194284108005 Averaged sum = 0.4404978713442010196 logp*logq = 40.33273391878892152 -------------- ************************************* p = 521; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 362244862923257818.2 -------------- Searches starting with [521,641]-exponents: u = 1, v = 30 n_start has 87 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(521,641) = 0.6204720455592962331 D2(521,641) = 0.01338166961735329285 C1(521,641) = 0.9517778782330864528 C2(521,641) = 1.668278708976819752 C3(521,641) = 5.726392416424830393 C4(521,641) = 5128 Sum = 3758.381454454750802 Averaged sum = 0.3755001952697323211 logp*logq = 40.43109679498472192 -------------- ************************************* p = 521; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 369373650144338920.5 -------------- Searches starting with [521,643]-exponents: u = 1, v = 29 n_start has 85 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(521,643) = 0.6416287385106053265 D2(521,643) = 0.04880134522220721706 C1(521,643) = 0.8860971290119837607 C2(521,643) = 1.704147355839605126 C3(521,643) = 5.076692740368666216 C4(521,643) = 5144 Sum = 4178.672267753701553 Averaged sum = 0.4174914844393747181 logp*logq = 40.45058512863280070 -------------- ************************************* p = 521; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 383985275636360805.2 -------------- Searches starting with [521,647]-exponents: u = 1, v = 28 n_start has 82 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(521,647) = 0.6981607872890087930 D2(521,647) = 0.02787951019167080102 C1(521,647) = 1.074521930487275338 C2(521,647) = 1.696314243500757118 C3(521,647) = 7.171659548564736162 C4(521,647) = 5176 Sum = 3884.888799407499588 Averaged sum = 0.3881395543418423007 logp*logq = 40.48938060206625836 -------------- ************************************* p = 521; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 406811528067277670.9 -------------- Searches starting with [521,653]-exponents: u = 1, v = 27 n_start has 79 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(521,653) = 0.5939442926760165744 D2(521,653) = 0.03413637747613519382 C1(521,653) = 0.8384263988125940281 C2(521,653) = 1.716779540973401485 C3(521,653) = 4.651806693892442228 C4(521,653) = 5224 Sum = 4078.767192023802848 Averaged sum = 0.4075099602381659355 logp*logq = 40.54712639709870170 -------------- ************************************* p = 521; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 430767123365685505.4 -------------- Searches starting with [521,659]-exponents: u = 1, v = 26 n_start has 77 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(521,659) = 0.5550631811831438691 D2(521,659) = 0.03167476244945402580 C1(521,659) = 0.7853744810119704482 C2(521,659) = 1.729265645963054854 C3(521,659) = 4.220632226788997821 C4(521,659) = 5272 Sum = 4195.083123686682946 Averaged sum = 0.4191310943837229439 logp*logq = 40.60434402197362084 -------------- ************************************* p = 521; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 439010995683963684.3 -------------- Searches starting with [521,661]-exponents: u = 1, v = 26 n_start has 77 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(521,661) = 0.5341807681147516362 D2(521,661) = 0.06443367110453582185 C1(521,661) = 0.7564370415297695230 C2(521,661) = 1.762467808265726832 C3(521,661) = 4.002535790956716994 C4(521,661) = 5288 Sum = 4112.495772496837202 Averaged sum = 0.4108797854427852135 logp*logq = 40.62330085478827323 -------------- ************************************* p = 521; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 491309719841227122.9 -------------- Searches starting with [521,673]-exponents: u = 1, v = 24 n_start has 71 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(521,673) = 0.5970456450413631364 D2(521,673) = 0.02895438850387579658 C1(521,673) = 0.8083023795992992352 C2(521,673) = 1.759426207723531864 C3(521,673) = 4.401842748284524866 C4(521,673) = 5384 Sum = 3739.330192428699596 Averaged sum = 0.3735967821389449092 logp*logq = 40.73585111781229799 -------------- ************************************* p = 521; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 509864978560058148.6 -------------- Searches starting with [521,677]-exponents: u = 1, v = 23 n_start has 68 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(521,677) = 0.6886713970532241467 D2(521,677) = 0.09050321316451169672 C1(521,677) = 1.080944910095543374 C2(521,677) = 1.821851441615520052 C3(521,677) = 7.256616148485471576 C4(521,677) = 5416 Sum = 3820.825560660272837 Averaged sum = 0.3817389909741505482 logp*logq = 40.77292233765568440 -------------- ************************************* p = 521; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 538799811859806968.7 -------------- Searches starting with [521,683]-exponents: u = 1, v = 23 n_start has 68 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(521,683) = 0.7062612950045583041 D2(521,683) = 0.05352567500643033768 C1(521,683) = 1.113746056203238980 C2(521,683) = 1.802560222109942024 C3(521,683) = 7.706426265123707085 C4(521,683) = 5464 Sum = 3472.877404640656196 Averaged sum = 0.3469754625477726242 logp*logq = 40.82812049026310450 -------------- ************************************* p = 521; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 579515309336709117.3 -------------- Searches starting with [521,691]-exponents: u = 1, v = 22 n_start has 66 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(521,691) = 0.6280989757614433509 D2(521,691) = 0.03659160916887613711 C1(521,691) = 0.9954191776850178164 C2(521,691) = 1.804886423168601646 C3(521,691) = 6.203428387633997655 C4(521,691) = 5528 Sum = 3911.532707035813779 Averaged sum = 0.3908015493092030951 logp*logq = 40.90096847552395198 -------------- ************************************* p = 521; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 634016572062350773.0 -------------- Searches starting with [521,701]-exponents: u = 1, v = 21 n_start has 63 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(521,701) = 0.7563701439432284481 D2(521,701) = 0.03271200889256542548 C1(521,701) = 1.205048279114568614 C2(521,701) = 1.821981535498028343 C3(521,701) = 9.110770472122557904 C4(521,701) = 5608 Sum = 3230.543876952573181 Averaged sum = 0.3227639001850907365 logp*logq = 40.99085148790590300 -------------- ************************************* p = 521; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 680660118139782666.3 -------------- Searches starting with [521,709]-exponents: u = 1, v = 20 n_start has 60 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(521,709) = 0.5993419656880639378 D2(521,709) = 0.1459478384261769493 C1(521,709) = 0.8635701490399559372 C2(521,709) = 1.936927193362885737 C3(521,709) = 4.871280178306786589 C4(521,709) = 5672 Sum = 3738.300100183081459 Averaged sum = 0.3734938655393227554 logp*logq = 41.06183948416642480 -------------- ************************************* p = 521; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 742988129616882532.3 -------------- Searches starting with [521,719]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(521,719) = 0.5992419621637323724 D2(521,719) = 0.1139175349153190566 C1(521,719) = 0.8206292606141550116 C2(521,719) = 1.927314107334943790 C3(521,719) = 4.502463128559531483 C4(521,719) = 5752 Sum = 4027.469796810974094 Averaged sum = 0.4023848333310994199 logp*logq = 41.14945646321129663 -------------- ************************************* p = 521; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 796240035107564207.9 -------------- Searches starting with [521,727]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(521,727) = 0.5387238487425406071 D2(521,727) = 0.04540466351662951831 C1(521,727) = 0.7647859688209244051 C2(521,727) = 1.882466732689655788 C3(521,727) = 4.064277030606125542 C4(521,727) = 5816 Sum = 3842.691439185949350 Averaged sum = 0.3839236126671944599 logp*logq = 41.21867708694017859 -------------- ************************************* p = 521; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 838251441601327363.0 -------------- Searches starting with [521,733]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(521,733) = 0.7890349325369273244 D2(521,733) = 0.1185438789900092946 C1(521,733) = 1.145325212082492034 C2(521,733) = 1.956862141824702812 C3(521,733) = 8.165802247707735509 C4(521,733) = 5864 Sum = 3944.465562902774911 Averaged sum = 0.3940918736040338606 logp*logq = 41.27009450003046517 -------------- ************************************* p = 521; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 882109633986913873.4 -------------- Searches starting with [521,739]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(521,739) = 0.6913075094197600367 D2(521,739) = 0.01314561073023538229 C1(521,739) = 1.121784436135420623 C2(521,739) = 1.876639351234030661 C3(521,739) = 7.820847609956054281 C4(521,739) = 5912 Sum = 3967.257064212154867 Averaged sum = 0.3963689743443056116 logp*logq = 41.32109274476514094 -------------- ************************************* p = 521; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 912406544158656517.6 -------------- Searches starting with [521,743]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(521,743) = 0.5258804476640755900 D2(521,743) = 0.05330296520157211558 C1(521,743) = 0.7654128974278233123 C2(521,743) = 1.917628199027321264 C3(521,743) = 4.068951498503498133 C4(521,743) = 5944 Sum = 4124.818565996991000 Averaged sum = 0.4121109567386343291 logp*logq = 41.35486205776193943 -------------- ************************************* p = 521; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 975628898906840540.2 -------------- Searches starting with [521,751]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(521,751) = 0.6793534930857567524 D2(521,751) = 0.1164686041516214976 C1(521,751) = 1.110352361822985321 C2(521,751) = 1.355812862016172730 C3(521,751) = 7.658623121748211752 C4(521,751) = 6008 Sum = 3848.392592534883497 Averaged sum = 0.3844932153596646515 logp*logq = 41.42185868248946562 -------------- ************************************* p = 521; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.025425630428412434 E18 -------------- Searches starting with [521,757]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(521,757) = 0.7704139603104569695 D2(521,757) = 0.01847920045921507569 C1(521,757) = 1.101791132411048837 C2(521,757) = 1.911879169878038331 C3(521,757) = 7.539344149277082151 C4(521,757) = 6056 Sum = 4492.379510346095229 Averaged sum = 0.4488340004342187260 logp*logq = 41.47163944948955653 -------------- ************************************* p = 521; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.059795782525998977 E18 -------------- Searches starting with [521,761]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(521,761) = 0.8872527656849782560 D2(521,761) = 0.05605491962558611522 C1(521,761) = 1.344815934919216923 C2(521,761) = 1.950273416944561760 C3(521,761) = 11.77197168806522877 C4(521,761) = 6088 Sum = 3942.615691953306566 Averaged sum = 0.3939070528477676656 logp*logq = 41.50460790546152213 -------------- ************************************* p = 521; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.131445972114661946 E18 -------------- Searches starting with [521,769]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(521,769) = 0.7768601949244934266 D2(521,769) = 0.1007141812171101564 C1(521,769) = 1.279645598141299006 C2(521,769) = 1.284412067278204211 C3(521,769) = 10.44612968354749241 C4(521,769) = 6152 Sum = 3579.755070272311387 Averaged sum = 0.3576536187703378346 logp*logq = 41.57002810993985375 -------------- ************************************* p = 521; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.168769822587357465 E18 -------------- Searches starting with [521,773]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(521,773) = 0.9088960445439797134 D2(521,773) = 0.1379866444617709103 C1(521,773) = 1.258208979877735343 C2(521,773) = 1.796461240719325212 C3(521,773) = 10.04351831398477782 C4(521,773) = 6184 Sum = 4389.074436546759249 Averaged sum = 0.4385127821507402586 logp*logq = 41.60248343587230616 -------------- ************************************* p = 521; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.307657632036752688 E18 -------------- Searches starting with [521,787]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(521,787) = 1.075311893215363830 D2(521,787) = 0.1027543531081119540 C1(521,787) = 1.506286766129701582 C2(521,787) = 1.439840495436306097 C3(521,787) = 15.82796581130435724 C4(521,787) = 6296 Sum = 4298.354110662372698 Averaged sum = 0.4294489070498923667 logp*logq = 41.71476914345815099 -------------- ************************************* p = 521; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.415135465568898627 E18 -------------- Searches starting with [521,797]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(521,797) = 0.8276020279478882131 D2(521,797) = 0.1222585162752176814 C1(521,797) = 1.150422498476244511 C2(521,797) = 1.807978524173699771 C3(521,797) = 8.242476591658082178 C4(521,797) = 6376 Sum = 4234.027045631089673 Averaged sum = 0.4230219847768098384 logp*logq = 41.79375693579006446 -------------- ************************************* p = 521; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.553814197964889751 E18 -------------- Searches starting with [521,809]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(521,809) = 0.5473581176569748491 D2(521,809) = 0.07742517279688797690 C1(521,809) = 0.7513389251441437126 C2(521,809) = 2.042135495572821216 C3(521,809) = 3.965296796032542737 C4(521,809) = 6472 Sum = 4110.464199395699740 Averaged sum = 0.4106768108098411170 logp*logq = 41.88724435496080838 -------------- ************************************* p = 521; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.578001203842825423 E18 -------------- Searches starting with [521,811]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(521,811) = 0.6110554845345024424 D2(521,811) = 0.08860763344235101938 C1(521,811) = 1.024872684718022475 C2(521,811) = 1.416160237608862523 C3(521,811) = 6.547643022314027311 C4(521,811) = 6488 Sum = 3830.396944637808286 Averaged sum = 0.3826952687219310906 logp*logq = 41.90269065920773816 -------------- ************************************* p = 521; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.703736104650805757 E18 -------------- Searches starting with [521,821]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(521,821) = 0.7702412098754296527 D2(521,821) = 0.1077094087355466955 C1(521,821) = 1.116589445870702302 C2(521,821) = 1.822958549837977627 C3(521,821) = 7.746707532732437438 C4(521,821) = 6568 Sum = 3788.764504692573126 Averaged sum = 0.3785357682778072861 logp*logq = 41.97935522214396145 -------------- ************************************* p = 521; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.729866709104935354 E18 -------------- Searches starting with [521,823]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(521,823) = 0.6791207229474959999 D2(521,823) = 0.1064092051504060248 C1(521,823) = 1.008172577211318194 C2(521,823) = 1.822074990941705986 C3(521,823) = 6.350194715925023280 C4(521,823) = 6584 Sum = 3459.034311922933819 Averaged sum = 0.3455923980340627254 logp*logq = 41.99457603267410283 -------------- ************************************* p = 521; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.783139059116918178 E18 -------------- Searches starting with [521,827]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(521,827) = 0.8147640346131815723 D2(521,827) = 0.1038346502709121195 C1(521,827) = 1.099758991727284064 C2(521,827) = 1.820330642428559734 C3(521,827) = 7.511305332907232499 C4(521,827) = 6616 Sum = 3784.249303235643503 Averaged sum = 0.3780846541348429916 logp*logq = 42.02490700138542126 -------------- ************************************* p = 521; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.810287807284705780 E18 -------------- Searches starting with [521,829]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(521,829) = 0.6766645899521166933 D2(521,829) = 0.005056963364315872109 C1(521,829) = 1.045110160852915705 C2(521,829) = 2.009523123676622864 C3(521,829) = 6.795159868218595514 C4(521,829) = 6632 Sum = 3470.676343824030618 Averaged sum = 0.3467555543834579497 logp*logq = 42.04001751607943945 -------------- ************************************* p = 521; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.951299838165137294 E18 -------------- Searches starting with [521,839]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(521,839) = 0.6157262118280000323 D2(521,839) = 0.07546306207106921636 C1(521,839) = 1.043620102989134929 C2(521,839) = 1.422345919589032743 C3(521,839) = 6.776620673801588615 C4(521,839) = 6712 Sum = 4131.199587836402974 Averaged sum = 0.4127484851470079902 logp*logq = 42.11502740807468884 -------------- ************************************* p = 521; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.164135873445236276 E18 -------------- Searches starting with [521,853]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(521,853) = 0.6126129603352878942 D2(521,853) = 0.08928306420814160814 C1(521,853) = 0.9150886556866411205 C2(521,853) = 1.838467439521339031 C3(521,853) = 5.353850430829960154 C4(521,853) = 6824 Sum = 3553.596468853463671 Averaged sum = 0.3550401107856392917 logp*logq = 42.21855282100450527 -------------- ************************************* p = 521; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.228408976435531344 E18 -------------- Searches starting with [521,857]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(521,857) = 0.7932496494699179229 D2(521,857) = 0.08690445437816853996 C1(521,857) = 1.112631156225300089 C2(521,857) = 1.836901096150506021 C3(521,857) = 7.690689107802259201 C4(521,857) = 6856 Sum = 4136.788701088684541 Averaged sum = 0.4133068939043545350 logp*logq = 42.24781954124683229 -------------- ************************************* p = 521; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.261142105128512033 E18 -------------- Searches starting with [521,859]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(521,859) = 0.8776666721301579531 D2(521,859) = 0.08572584838066327005 C1(521,859) = 1.365929504476204436 C2(521,859) = 1.836127177204768839 C3(521,859) = 12.23662100444547390 C4(521,859) = 6872 Sum = 3493.014140789832686 Averaged sum = 0.3489873254860458274 logp*logq = 42.26240171577910415 -------------- ************************************* p = 521; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.327821407936164297 E18 -------------- Searches starting with [521,863]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(521,863) = 0.7543894681957614498 D2(521,863) = 0.07698063412264416748 C1(521,863) = 1.083349039168332221 C2(521,863) = 1.693597877435297746 C3(521,863) = 7.288673720347740692 C4(521,863) = 6904 Sum = 4332.053183479174059 Averaged sum = 0.4328157841421894354 logp*logq = 42.29146448601522948 -------------- ************************************* p = 521; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.574363261837611506 E18 -------------- Searches starting with [521,877]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(521,877) = 1.138446007897329714 D2(521,877) = 0.04483408698341496164 C1(521,877) = 1.952266623095053308 C2(521,877) = 1.087450245172941845 C3(521,877) = 35.85499537737895807 C4(521,877) = 7016 Sum = 990.2513570646156780 Averaged sum = 0.09893609322256126266 logp*logq = 42.39213390047426693 -------------- ************************************* p = 521; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.648702381436408371 E18 -------------- Searches starting with [521,881]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(521,881) = 0.9120608919593297054 D2(521,881) = 0.07252355897699190108 C1(521,881) = 1.249494902738611909 C2(521,881) = 1.380444567479120433 C3(521,881) = 9.884325434756843066 C4(521,881) = 7048 Sum = 4318.745041383384241 Averaged sum = 0.4314861665884088561 logp*logq = 42.42060152658224211 -------------- ************************************* p = 521; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.686542989247694519 E18 -------------- Searches starting with [521,883]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(521,883) = 1.025292723575893628 D2(521,883) = 0.07337646664584221581 C1(521,883) = 1.443060705421168088 C2(521,883) = 1.859446490255146930 C3(521,883) = 14.09546782650635643 C4(521,883) = 7064 Sum = 4159.422470715559885 Averaged sum = 0.4155682356594624722 logp*logq = 42.43478690690488888 -------------- ************************************* p = 521; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.763588061199748218 E18 -------------- Searches starting with [521,887]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(521,887) = 0.7326120254529210736 D2(521,887) = 0.07115734792998201738 C1(521,887) = 1.074249882630070972 C2(521,887) = 1.858024345323312077 C3(521,887) = 7.168083216569923641 C4(521,887) = 7096 Sum = 3539.244313617474846 Averaged sum = 0.3536061857945324054 logp*logq = 42.46306153149853403 -------------- ************************************* p = 521; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.177253812642800619 E18 -------------- Searches starting with [521,907]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(521,907) = 0.7943640358128559732 D2(521,907) = 0.05279014436540405300 C1(521,907) = 1.121340626293348770 C2(521,907) = 1.617520366314012984 C3(521,907) = 7.814486172980988312 C4(521,907) = 7256 Sum = 4389.853082271069345 Averaged sum = 0.4385905767080696718 logp*logq = 42.60254891665414229 -------------- ************************************* p = 521; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.265932543501351649 E18 -------------- Searches starting with [521,911]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(521,911) = 0.7212205178144139800 D2(521,911) = 0.01215390977326581413 C1(521,911) = 1.042893869653981701 C2(521,911) = 2.118912382155096345 C3(521,911) = 6.767603272275640413 C4(521,911) = 7288 Sum = 3565.624306048820411 Averaged sum = 0.3562418129732061555 logp*logq = 42.63007701406409424 -------------- ************************************* p = 521; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.449539593329200112 E18 -------------- Searches starting with [521,919]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(521,919) = 1.006830574706040283 D2(521,919) = 0.03315235282465549709 C1(521,919) = 1.749776845985413285 C2(521,919) = 1.129136462066312722 C3(521,919) = 24.73496129703960401 C4(521,919) = 7352 Sum = 2552.368865741115172 Averaged sum = 0.2550073799321725619 logp*logq = 42.68477244482175832 -------------- ************************************* p = 521; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.691173223584345111 E18 -------------- Searches starting with [521,929]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(521,929) = 0.6663743657261027646 D2(521,929) = 0.05020187521513351115 C1(521,929) = 0.9173840113711723232 C2(521,929) = 1.880501657596250290 C3(521,929) = 5.376429788443456611 C4(521,929) = 7432 Sum = 3872.944745072100243 Averaged sum = 0.3869462229065940896 logp*logq = 42.75247602818172003 -------------- ************************************* p = 521; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.894574982688503012 E18 -------------- Searches starting with [521,937]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(521,937) = 0.7828181757135225185 D2(521,937) = 0.04620896718674178268 C1(521,937) = 1.186519281859930584 C2(521,937) = 1.878046762914537409 C3(521,937) = 8.806449459268740916 C4(521,937) = 7496 Sum = 3860.700135639922472 Averaged sum = 0.3857228629873036738 logp*logq = 42.80611622856807539 -------------- ************************************* p = 521; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.999755192817444816 E18 -------------- Searches starting with [521,941]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(521,941) = 0.6462681142569368176 D2(521,941) = 0.04424155395123466458 C1(521,941) = 0.8864017699418064624 C2(521,941) = 1.876843349050170171 C3(521,941) = 5.079529167227081862 C4(521,941) = 7528 Sum = 4038.068057445032749 Averaged sum = 0.4034437064087354131 logp*logq = 42.83276483134416782 -------------- ************************************* p = 521; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.161994533145235468 E18 -------------- Searches starting with [521,947]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(521,947) = 0.6595809959230675054 D2(521,947) = 0.03802014944080915968 C1(521,947) = 1.045275359759059456 C2(521,947) = 1.725084679405584373 C3(521,947) = 6.797218382016653078 C4(521,947) = 7576 Sum = 3774.879219510149073 Averaged sum = 0.3771484883115345262 logp*logq = 42.87252608834712061 -------------- ************************************* p = 521; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.329727236082949688 E18 -------------- Searches starting with [521,953]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(521,953) = 0.5646148820081600797 D2(521,953) = 0.03537676003902236744 C1(521,953) = 0.7688456313941060161 C2(521,953) = 1.723543194893892169 C3(521,953) = 4.094641921043789161 C4(521,953) = 7624 Sum = 3903.432588534389683 Averaged sum = 0.3899922658142061827 logp*logq = 42.91203621994679285 -------------- ************************************* p = 521; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.743313068084535267 E18 -------------- Searches starting with [521,967]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(521,967) = 0.6159046566462426890 D2(521,967) = 0.001667459989987040823 C1(521,967) = 1.087047008405463085 C2(521,967) = 2.172247056776966058 C3(521,967) = 7.338260523001328571 C4(521,967) = 7736 Sum = 4138.071542519676922 Averaged sum = 0.4134350626955417047 logp*logq = 43.00326752495287803 -------------- ************************************* p = 521; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.867397584251903314 E18 -------------- Searches starting with [521,971]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(521,971) = 0.8253449313632579616 D2(521,971) = 0.02009090305921848113 C1(521,971) = 1.456542599325724423 C2(521,971) = 2.191355230738536523 C3(521,971) = 14.44823673084998897 C4(521,971) = 7768 Sum = 3908.075710885635863 Averaged sum = 0.3904561605440739198 logp*logq = 43.02909109120674463 -------------- ************************************* p = 521; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.058631474200066429 E18 -------------- Searches starting with [521,977]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(521,977) = 0.8125545527107307284 D2(521,977) = 0.02795074842213825665 C1(521,977) = 1.433857593102829028 C2(521,977) = 1.908137644151178139 C3(521,977) = 13.85961754041248154 C4(521,977) = 7816 Sum = 4059.246750921830728 Averaged sum = 0.4055596713879339323 logp*logq = 43.06762766096713535 -------------- ************************************* p = 521; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.256138423794796551 E18 -------------- Searches starting with [521,983]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(521,983) = 0.6797994261085837987 D2(521,983) = 0.02520667403324994037 C1(521,983) = 0.9676058694776889288 C2(521,983) = 1.906513489649594260 C3(521,983) = 5.895010854165943732 C4(521,983) = 7864 Sum = 4317.699272090031605 Averaged sum = 0.4313816836936788495 logp*logq = 43.10592829106676804 -------------- ************************************* p = 521; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.529525804872483282 E18 -------------- Searches starting with [521,991]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(521,991) = 0.6244584805143243494 D2(521,991) = 0.02160354007578095153 C1(521,991) = 0.8644555850020285373 C2(521,991) = 1.904392799849120867 C3(521,991) = 4.879194870025744423 C4(521,991) = 7928 Sum = 3959.124738792906971 Averaged sum = 0.3955564730535425089 logp*logq = 43.15663373617938158 -------------- ************************************* p = 521; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.742319619488672038 E18 -------------- Searches starting with [521,997]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(521,997) = 0.5980664489281147998 D2(521,997) = 0.01894173458215884183 C1(521,997) = 0.8283313463529535867 C2(521,997) = 1.902834850320588716 C3(521,997) = 4.566497004608939735 C4(521,997) = 7976 Sum = 3907.431090926700214 Averaged sum = 0.3903917565118093929 logp*logq = 43.19439491748536251 -------------- ************************************* p = 523; q = 541; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 128431317662678689.2 -------------- Searches starting with [523,541]-exponents: u = 1, v = 184 n_start has 506 digits starting right neighbors generation We generated 3695 left neighbors We generated 6315 right neighbors We generated 10009 non-negative rho_i D1(523,541) = 1.103249103993307745 D2(523,541) = 0.004880541686200198821 C1(523,541) = 1.490463411876917568 C2(523,541) = 1.210397940496824538 C3(523,541) = 15.38939756959682269 C4(523,541) = 4328 Sum = 5076.961341727545449 Averaged sum = 0.5072396185160900639 logp*logq = 39.39417066345627007 -------------- ************************************* p = 523; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 137611496186490265.7 -------------- Searches starting with [523,547]-exponents: u = 1, v = 139 n_start has 384 digits starting right neighbors generation We generated 2135 left neighbors We generated 7875 right neighbors We generated 10009 non-negative rho_i D1(523,547) = 0.5621215063785911130 D2(523,547) = 0.01286531817364243457 C1(523,547) = 0.7704554258757595097 C2(523,547) = 1.269901566149447275 C3(523,547) = 4.108683094598877875 C4(523,547) = 4376 Sum = 4711.557923593298440 Averaged sum = 0.4707321334392345329 logp*logq = 39.46321086478693497 -------------- ************************************* p = 523; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 154136070394062099.3 -------------- Searches starting with [523,557]-exponents: u = 1, v = 99 n_start has 275 digits starting right neighbors generation We generated 1145 left neighbors We generated 8865 right neighbors We generated 10009 non-negative rho_i D1(523,557) = 0.5761226395966036131 D2(523,557) = 0.01260691483609652041 C1(523,557) = 0.8055784541484530881 C2(523,557) = 1.339359379822034447 C3(523,557) = 4.382074210627991322 C4(523,557) = 4456 Sum = 4066.950171894335237 Averaged sum = 0.4063293208007128821 logp*logq = 39.57661218119001905 -------------- ************************************* p = 523; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 164828142770182337.4 -------------- Searches starting with [523,563]-exponents: u = 1, v = 84 n_start has 234 digits starting right neighbors generation We generated 814 left neighbors We generated 9196 right neighbors We generated 10009 non-negative rho_i D1(523,563) = 0.8499065818444438648 D2(523,563) = 0.01141324291609795212 C1(523,563) = 1.199862452441553218 C2(523,563) = 1.373455006897322530 C3(523,563) = 9.031186111349963866 C4(523,563) = 4504 Sum = 5083.243915800938470 Averaged sum = 0.5078673110001936726 logp*logq = 39.64367976704319361 -------------- ************************************* p = 523; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 176136626495687690.5 -------------- Searches starting with [523,569]-exponents: u = 1, v = 74 n_start has 207 digits starting right neighbors generation We generated 647 left neighbors We generated 9363 right neighbors We generated 10009 non-negative rho_i D1(523,569) = 0.6227570425570316644 D2(523,569) = 0.02816301955717354230 C1(523,569) = 0.8873134354338204242 C2(523,569) = 1.419945392770448090 C3(523,569) = 5.090791882458620793 C4(523,569) = 4552 Sum = 3670.579459997417690 Averaged sum = 0.3667278908979336287 logp*logq = 39.71003637570131719 -------------- ************************************* p = 523; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 180047993707346963.5 -------------- Searches starting with [523,571]-exponents: u = 1, v = 71 n_start has 199 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(523,571) = 0.6000956723142652816 D2(523,571) = 0.01823229025213299084 C1(523,571) = 0.8574591995104752917 C2(523,571) = 1.421084567832262877 C3(523,571) = 4.819534481011997683 C4(523,571) = 4568 Sum = 3609.567441274883380 Averaged sum = 0.3606321751698354861 logp*logq = 39.73199984196846229 -------------- ************************************* p = 523; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 192222817692282976.7 -------------- Searches starting with [523,577]-exponents: u = 1, v = 63 n_start has 177 digits starting right neighbors generation We generated 491 left neighbors We generated 9519 right neighbors We generated 10009 non-negative rho_i D1(523,577) = 0.5861840091890238321 D2(523,577) = 0.01189443924052739861 C1(523,577) = 0.8437374732344379934 C2(523,577) = 1.443704318528463006 C3(523,577) = 4.699753881482374048 C4(523,577) = 4616 Sum = 4405.818568933456710 Averaged sum = 0.4401856897725503756 logp*logq = 39.79743160288261758 -------------- ************************************* p = 523; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 214050249935229626.8 -------------- Searches starting with [523,587]-exponents: u = 1, v = 54 n_start has 153 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(523,587) = 0.6249806119341591607 D2(523,587) = 0.03299829829577527594 C1(523,587) = 0.9110328365400900339 C2(523,587) = 1.504822777107364261 C3(523,587) = 5.317150099272776207 C4(523,587) = 4696 Sum = 3234.257245952441857 Averaged sum = 0.3231349031823800437 logp*logq = 39.90498719514977730 -------------- ************************************* p = 523; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 228119156691718363.7 -------------- Searches starting with [523,593]-exponents: u = 1, v = 49 n_start has 139 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(523,593) = 0.6676411018887944031 D2(523,593) = 0.03187316354487185558 C1(523,593) = 0.9790815255180178478 C2(523,593) = 1.527221626575737814 C3(523,593) = 6.023969764634469033 C4(523,593) = 4744 Sum = 4426.363595886947030 Averaged sum = 0.4422383450781243911 logp*logq = 39.96864450441732776 -------------- ************************************* p = 523; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 242957021756629160.4 -------------- Searches starting with [523,599]-exponents: u = 1, v = 46 n_start has 131 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(523,599) = 0.7022888880666654744 D2(523,599) = 0.05085049192420989878 C1(523,599) = 1.036847026060136916 C2(523,599) = 1.566022896280965691 C3(523,599) = 6.697236278505453634 C4(523,599) = 4792 Sum = 2946.400107712317980 Averaged sum = 0.2943750732053469857 logp*logq = 40.03166095740968301 -------------- ************************************* p = 523; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 248079647372743509.0 -------------- Searches starting with [523,601]-exponents: u = 1, v = 45 n_start has 128 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(523,601) = 0.9757939884579821032 D2(523,601) = 0.05147859264615645205 C1(523,601) = 1.443250463010774475 C2(523,601) = 1.573663241246893547 C3(523,601) = 14.11283834768187468 C4(523,601) = 4808 Sum = 2956.430961553755754 Averaged sum = 0.2953772566244136031 logp*logq = 40.05252624827629416 -------------- ************************************* p = 523; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 263995389118017758.9 -------------- Searches starting with [523,607]-exponents: u = 1, v = 42 n_start has 120 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(523,607) = 0.9959267037041972319 D2(523,607) = 0.03581201321549757160 C1(523,607) = 1.481582671501406440 C2(523,607) = 1.580422908945606017 C3(523,607) = 15.14076111524267233 C4(523,607) = 4856 Sum = 2851.884877835800460 Averaged sum = 0.2849320489395344650 logp*logq = 40.11470803244242452 -------------- ************************************* p = 523; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 280760442426911792.4 -------------- Searches starting with [523,613]-exponents: u = 1, v = 39 n_start has 112 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(523,613) = 0.5919973467846219175 D2(523,613) = 0.05989553047590638948 C1(523,613) = 0.8390795596749017919 C2(523,613) = 1.621222454489815354 C3(523,613) = 4.659774238922280688 C4(523,613) = 4904 Sum = 4106.047456414675613 Averaged sum = 0.4102355336611725061 logp*logq = 40.17627818259055523 -------------- ************************************* p = 523; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 292426881069516496.1 -------------- Searches starting with [523,617]-exponents: u = 1, v = 37 n_start has 106 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(523,617) = 0.6977873279549819257 D2(523,617) = 0.02036412044271725518 C1(523,617) = 1.047125256236693501 C2(523,617) = 1.599172718437796377 C3(523,617) = 6.824686353382580787 C4(523,617) = 4936 Sum = 4235.696843298933996 Averaged sum = 0.4231888143969361571 logp*logq = 40.21699105108305959 -------------- ************************************* p = 523; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 298411145661266225.9 -------------- Searches starting with [523,619]-exponents: u = 1, v = 37 n_start has 107 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(523,619) = 0.6779108447703997274 D2(523,619) = 0.06659607711639793015 C1(523,619) = 1.019730952187143064 C2(523,619) = 1.645857835393922638 C3(523,619) = 6.490256981108820723 C4(523,619) = 4952 Sum = 3133.305636656596035 Averaged sum = 0.3130488197279044895 logp*logq = 40.23724861395449452 -------------- ************************************* p = 523; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 336520771549303685.6 -------------- Searches starting with [523,631]-exponents: u = 1, v = 33 n_start has 96 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(523,631) = 0.7827271136047045324 D2(523,631) = 0.02567188017949146031 C1(523,631) = 1.092478398038831331 C2(523,631) = 1.645230205062383854 C3(523,631) = 7.416662707589584597 C4(523,631) = 5048 Sum = 4354.593004449597895 Averaged sum = 0.4350677394794283040 logp*logq = 40.35743627032008762 -------------- ************************************* p = 523; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 371326970040281305.9 -------------- Searches starting with [523,641]-exponents: u = 1, v = 30 n_start has 87 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(523,641) = 0.6357613248225381934 D2(523,641) = 0.05380907015091795187 C1(523,641) = 0.8764751128404940347 C2(523,641) = 1.697128348375910648 C3(523,641) = 4.990592712171496241 C4(523,641) = 5128 Sum = 4089.613484807294870 Averaged sum = 0.4085936142279243551 logp*logq = 40.45585939024621132 -------------- ************************************* p = 523; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 378639007695785868.5 -------------- Searches starting with [523,643]-exponents: u = 1, v = 30 n_start has 87 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(523,643) = 0.6240858834309518093 D2(523,643) = 0.004196643053888916127 C1(523,643) = 0.8760273243982323903 C2(523,643) = 1.659542653671286825 C3(523,643) = 4.986495647265175924 C4(523,643) = 5144 Sum = 4015.689974901640915 Averaged sum = 0.4012079103708303442 logp*logq = 40.47535965979899472 -------------- ************************************* p = 523; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 393626503546160071.5 -------------- Searches starting with [523,647]-exponents: u = 1, v = 29 n_start has 85 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(523,647) = 0.5661041541456736535 D2(523,647) = 0.07654546682848376822 C1(523,647) = 0.8186779878982861258 C2(523,647) = 1.732785217721051430 C3(523,647) = 4.488633021083709496 C4(523,647) = 5176 Sum = 3929.736280573840198 Averaged sum = 0.3926202698145509239 logp*logq = 40.51417889406712580 -------------- ************************************* p = 523; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 417040634299700137.4 -------------- Searches starting with [523,653]-exponents: u = 1, v = 28 n_start has 82 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(523,653) = 0.8299780823063822849 D2(523,653) = 0.09056437566053561302 C1(523,653) = 1.135434346217587479 C2(523,653) = 1.760335745250855037 C3(523,653) = 8.024627600682101251 C4(523,653) = 5224 Sum = 3996.543981553488462 Averaged sum = 0.3992950326259854593 logp*logq = 40.57196005632588239 -------------- ************************************* p = 523; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 441614058589931304.9 -------------- Searches starting with [523,659]-exponents: u = 1, v = 27 n_start has 79 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(523,659) = 0.7679537107489951495 D2(523,659) = 0.09464827085837901857 C1(523,659) = 1.190664664331014642 C2(523,659) = 1.778622403768969601 C3(523,659) = 8.880109831911584847 C4(523,659) = 5272 Sum = 2436.631172054268027 Averaged sum = 0.2434440175895961661 logp*logq = 40.62921272494185525 -------------- ************************************* p = 523; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 450070741267222719.0 -------------- Searches starting with [523,661]-exponents: u = 1, v = 26 n_start has 77 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(523,661) = 0.6115487511894620992 D2(523,661) = 0.02187685594324646343 C1(523,661) = 0.8497146966125411658 C2(523,661) = 1.719910993104437474 C3(523,661) = 4.751560292510570780 C4(523,661) = 5288 Sum = 4177.055326785195061 Averaged sum = 0.4173299357363567850 logp*logq = 40.64818116813603332 -------------- ************************************* p = 523; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 503721718245818288.1 -------------- Searches starting with [523,673]-exponents: u = 1, v = 24 n_start has 71 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(523,673) = 0.6102616882459431458 D2(523,673) = 0.1074516145483184660 C1(523,673) = 0.8321920367001189611 C2(523,673) = 1.822566883532531075 C3(523,673) = 4.601279894471656508 C4(523,673) = 5384 Sum = 4057.271703846784714 Averaged sum = 0.4053623442748311233 logp*logq = 40.76080036415546927 -------------- ************************************* p = 523; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 522757608979949230.5 -------------- Searches starting with [523,677]-exponents: u = 1, v = 24 n_start has 71 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(523,677) = 0.8715806133421625477 D2(523,677) = 0.04774988645247383061 C1(523,677) = 1.217959346114959977 C2(523,677) = 1.779098114903482186 C3(523,677) = 9.335977312977002772 C4(523,677) = 5416 Sum = 4475.270804271148165 Averaged sum = 0.4471246682257116760 logp*logq = 40.79789428879010797 -------------- ************************************* p = 523; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 552442775003638036.7 -------------- Searches starting with [523,683]-exponents: u = 1, v = 23 n_start has 68 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(523,683) = 0.6367106384262384127 D2(523,683) = 0.01606703226330132876 C1(523,683) = 0.9367757432054946764 C2(523,683) = 1.765101579366813015 C3(523,683) = 5.574222648112795628 C4(523,683) = 5464 Sum = 3756.019515938149264 Averaged sum = 0.3752642138013936721 logp*logq = 40.85312624828431946 -------------- ************************************* p = 523; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 594215741981676363.9 -------------- Searches starting with [523,691]-exponents: u = 1, v = 22 n_start has 66 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(523,691) = 0.7264749715857420941 D2(523,691) = 0.001946968723068640942 C1(523,691) = 1.072549346609626075 C2(523,691) = 1.770241782722794149 C3(523,691) = 7.150462553229824425 C4(523,691) = 5528 Sum = 3897.535288100969314 Averaged sum = 0.3894030660506513452 logp*logq = 40.92601885032080813 -------------- ************************************* p = 523; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 650135314846111489.2 -------------- Searches starting with [523,701]-exponents: u = 1, v = 21 n_start has 63 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(523,701) = 0.5702328551201288306 D2(523,701) = 0.1448940032747554262 C1(523,701) = 0.8189764442291420140 C2(523,701) = 1.915339610253210770 C3(523,701) = 4.491090783698881129 C4(523,701) = 5608 Sum = 4076.134278982788812 Averaged sum = 0.4072469056831640335 logp*logq = 41.01595691282093388 -------------- ************************************* p = 523; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 697995036544919075.7 -------------- Searches starting with [523,709]-exponents: u = 1, v = 20 n_start has 60 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(523,709) = 0.9390313038361218446 D2(523,709) = 0.1012548712107528475 C1(523,709) = 1.282303049706196018 C2(523,709) = 1.892234226147461635 C3(523,709) = 10.50539683076987123 C4(523,709) = 5672 Sum = 4029.939042821148362 Averaged sum = 0.4026315358998050116 logp*logq = 41.08698838668061004 -------------- ************************************* p = 523; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 761951292522053026.8 -------------- Searches starting with [523,719]-exponents: u = 1, v = 19 n_start has 57 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(523,719) = 1.404810468099273139 D2(523,719) = 0.07475387285179082971 C1(523,719) = 2.029113368865784558 C2(523,719) = 1.888150445271415563 C3(523,719) = 41.33145638844084029 C4(523,719) = 5752 Sum = 5196.900828236807062 Averaged sum = 0.5192227823195930724 logp*logq = 41.17465902797959098 -------------- ************************************* p = 523; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 816596956585848196.2 -------------- Searches starting with [523,727]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(523,727) = 1.283808459552167948 D2(523,727) = 0.01397638265263248531 C1(523,727) = 2.069814253039373566 C2(523,727) = 1.851038451825658755 C3(523,727) = 44.53493333251043116 C4(523,727) = 5816 Sum = 1693.741464891738006 Averaged sum = 0.1692218468270294741 logp*logq = 41.24392204685540248 -------------- ************************************* p = 523; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 859709512782869044.3 -------------- Searches starting with [523,733]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(523,733) = 0.6395502177852905771 D2(523,733) = 0.08056329894721950595 C1(523,733) = 0.9597429982511641528 C2(523,733) = 1.918881561781913023 C3(523,733) = 5.814050109155731310 C4(523,733) = 5864 Sum = 3536.869055012531583 Averaged sum = 0.3533688735150895777 logp*logq = 41.29537095126525935 -------------- ************************************* p = 523; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 904718671980743427.1 -------------- Searches starting with [523,739]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(523,739) = 0.6879058965641393382 D2(523,739) = 0.1249803441584152935 C1(523,739) = 1.116452586614166017 C2(523,739) = 1.352412183428309753 C3(523,739) = 7.750059841632319023 C4(523,739) = 5912 Sum = 3772.656642294907252 Averaged sum = 0.3769264304420928417 logp*logq = 41.34640043059393623 -------------- ************************************* p = 523; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 935811466184136529.7 -------------- Searches starting with [523,743]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(523,743) = 0.6760946174425857348 D2(523,743) = 0.02265123580549238588 C1(523,743) = 0.9384031467526210054 C2(523,743) = 1.886976469631241535 C3(523,743) = 5.590885680834702599 C4(523,743) = 5944 Sum = 4183.189414518318396 Averaged sum = 0.4179427929381874708 logp*logq = 41.38019042608258594 -------------- ************************************* p = 523; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.000696652494382225 E18 -------------- Searches starting with [523,751]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(523,751) = 1.189247526370862750 D2(523,751) = 0.1093277013236848127 C1(523,751) = 1.607948095660616680 C2(523,751) = 1.975302503260563908 C3(523,751) = 19.08989288586711665 C4(523,751) = 6008 Sum = 3594.150851067105717 Averaged sum = 0.3590919023945554717 logp*logq = 41.44722808383749761 -------------- ************************************* p = 523; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.051804926331674309 E18 -------------- Searches starting with [523,757]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(523,757) = 0.7639715445672246387 D2(523,757) = 0.1215261263443365962 C1(523,757) = 1.248757069230978173 C2(523,757) = 1.306185664115538978 C3(523,757) = 9.878512850661436724 C4(523,757) = 6056 Sum = 3787.388558412706335 Averaged sum = 0.3783982973736343625 logp*logq = 41.49703933977018614 -------------- ************************************* p = 523; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.087081208135666167 E18 -------------- Searches starting with [523,761]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(523,761) = 0.6255358278369930253 D2(523,761) = 0.02661390904752426691 C1(523,761) = 0.9145136662758637939 C2(523,761) = 1.920832406366499912 C3(523,761) = 5.351204631825309188 C4(523,761) = 6088 Sum = 3633.846349004303934 Averaged sum = 0.3630578828059050788 logp*logq = 41.53002798773782698 -------------- ************************************* p = 523; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.160622600671527574 E18 -------------- Searches starting with [523,769]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(523,769) = 0.6447632724845620405 D2(523,769) = 0.1070067540543015432 C1(523,769) = 0.9240592485473012917 C2(523,769) = 2.002849410813639352 C3(523,769) = 5.445716737859757373 C4(523,769) = 6152 Sum = 3727.281160188416931 Averaged sum = 0.3723929623527242413 logp*logq = 41.59548825974273685 -------------- ************************************* p = 523; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.198932754123078365 E18 -------------- Searches starting with [523,773]-exponents: u = 1, v = 16 n_start has 49 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(523,773) = 1.022641103812110346 D2(523,773) = 0.08960627934218049868 C1(523,773) = 1.684678103304697760 C2(523,773) = 1.149375968473530545 C3(523,773) = 21.97467285009720589 C4(523,773) = 6184 Sum = 1349.235017724831221 Averaged sum = 0.1348021798106535339 logp*logq = 41.62796346339713730 -------------- ************************************* p = 523; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.341497152228350064 E18 -------------- Searches starting with [523,787]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(523,787) = 0.6904363745886237544 D2(523,787) = 0.07442019940587657127 C1(523,787) = 1.015821016498209346 C2(523,787) = 2.002743885026652680 C3(523,787) = 6.443880116596033858 C4(523,787) = 6296 Sum = 3561.350594602725125 Averaged sum = 0.3558148261167674218 logp*logq = 41.74031794194768530 -------------- ************************************* p = 523; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.451826527103983845 E18 -------------- Searches starting with [523,797]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(523,797) = 0.8202300451970658405 D2(523,797) = 0.1243876517955308109 C1(523,797) = 1.139666789618964834 C2(523,797) = 1.810004507145264933 C3(523,797) = 8.087163437998410894 C4(523,797) = 6376 Sum = 4094.487017349632518 Averaged sum = 0.4090805292586304844 logp*logq = 41.81935411146664447 -------------- ************************************* p = 523; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.594192142878418485 E18 -------------- Searches starting with [523,809]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(523,809) = 0.6770526507006683279 D2(523,809) = 0.04947286446799879880 C1(523,809) = 1.001401488600775586 C2(523,809) = 2.014183187243932038 C3(523,809) = 6.275692346390006127 C4(523,809) = 6472 Sum = 3955.434758677972383 Averaged sum = 0.3951878068416397625 logp*logq = 41.91289878832531868 -------------- ************************************* p = 523; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.619022996910032223 E18 -------------- Searches starting with [523,811]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(523,811) = 0.5700447043619995387 D2(523,811) = 0.06595381788095215441 C1(523,811) = 0.8243820377104871253 C2(523,811) = 2.031054748331541202 C3(523,811) = 4.535839034228372786 C4(523,811) = 6488 Sum = 4004.787602865871346 Averaged sum = 0.4001186534984385399 logp*logq = 41.92835455287905863 -------------- ************************************* p = 523; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.748108587352405920 E18 -------------- Searches starting with [523,821]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(523,821) = 0.6382985514122419450 D2(523,821) = 0.1068621872401257361 C1(523,821) = 1.070606592608542438 C2(523,821) = 1.415604943726669938 C3(523,821) = 7.125029142872064131 C4(523,821) = 6568 Sum = 3942.564374341080525 Averaged sum = 0.3939019257009771730 logp*logq = 42.00506607010772951 -------------- ************************************* p = 523; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.774936289324792415 E18 -------------- Searches starting with [523,823]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(523,823) = 0.6824226443304002781 D2(523,823) = 0.1084466364844104851 C1(523,823) = 0.9732290997413902359 C2(523,823) = 1.824005642459040567 C3(523,823) = 5.959654199874777394 C4(523,823) = 6584 Sum = 3808.598792952764036 Averaged sum = 0.3805174136230156894 logp*logq = 42.02029620283787504 -------------- ************************************* p = 523; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.829630573894846658 E18 -------------- Searches starting with [523,827]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(523,827) = 0.8497860520019512757 D2(523,827) = 0.1058551046781141586 C1(523,827) = 1.261658624835566033 C2(523,827) = 1.822244309504621452 C3(523,827) = 10.11505486045461366 C4(523,827) = 6616 Sum = 4353.526255402737537 Averaged sum = 0.4349611604958275089 logp*logq = 42.05064574817861056 -------------- ************************************* p = 523; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.857504357733163145 E18 -------------- Searches starting with [523,829]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(523,829) = 0.5968350912964068006 D2(523,829) = 0.1045722065675340915 C1(523,829) = 0.8519740124896460051 C2(523,829) = 1.821374979364258376 C3(523,829) = 4.771290856474533859 C4(523,829) = 6632 Sum = 3908.388681794298707 Averaged sum = 0.3904874294928862731 logp*logq = 42.06576551752039302 -------------- ************************************* p = 523; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.002286297651739572 E18 -------------- Searches starting with [523,839]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(523,839) = 0.7660435990713380175 D2(523,839) = 0.05068408475912533206 C1(523,839) = 1.113556078835604546 C2(523,839) = 2.057066828316607823 C3(523,839) = 7.708996637714536949 C4(523,839) = 6712 Sum = 3676.324015506568036 Averaged sum = 0.3673018299037434345 logp*logq = 42.14082135038154336 -------------- ************************************* p = 523; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.220824437122362521 E18 -------------- Searches starting with [523,853]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(523,853) = 0.7667431363523551007 D2(523,853) = 0.09123361986318732768 C1(523,853) = 1.098877862066069618 C2(523,853) = 1.840307051065976089 C3(523,853) = 7.504227499750627513 C4(523,853) = 6824 Sum = 4498.128156727477460 Averaged sum = 0.4494083481594042821 logp*logq = 42.24441016891009135 -------------- ************************************* p = 523; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.286822135570438672 E18 -------------- Searches starting with [523,857]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(523,857) = 0.7931818584241341001 D2(523,857) = 0.08884074177096866271 C1(523,857) = 1.184935138195614572 C2(523,857) = 1.838726431883530892 C3(523,857) = 8.787280912988485252 C4(523,857) = 6856 Sum = 3548.010723376042076 Averaged sum = 0.3544820385029515512 logp*logq = 42.27369481396785602 -------------- ************************************* p = 523; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.320434019763531136 E18 -------------- Searches starting with [523,859]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(523,859) = 0.5366286016958194451 D2(523,859) = 0.08765512909658468456 C1(523,859) = 0.7698924362927511332 C2(523,859) = 1.837945502504185273 C3(523,859) = 4.104442712756970266 C4(523,859) = 6872 Sum = 3968.890367665711405 Averaged sum = 0.3965321578245290643 logp*logq = 42.28828591955851114 -------------- ************************************* p = 523; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.388904316401775745 E18 -------------- Searches starting with [523,863]-exponents: u = 1, v = 12 n_start has 38 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(523,863) = 1.246688026025308915 D2(523,863) = 0.07874786891723928430 C1(523,863) = 1.940462388195924066 C2(523,863) = 1.695240888706022083 C3(523,863) = 35.12903235149847923 C4(523,863) = 6904 Sum = 4259.995423158983377 Averaged sum = 0.4256164874771688857 logp*logq = 42.31736648969801738 -------------- ************************************* p = 523; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.642078417219895101 E18 -------------- Searches starting with [523,877]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(523,877) = 0.7185589188566311100 D2(523,877) = 0.05831047252225291403 C1(523,877) = 0.9948124528815040043 C2(523,877) = 1.381433671791355704 C3(523,877) = 6.200306800707604844 C4(523,877) = 7016 Sum = 3909.037080236482629 Averaged sum = 0.3905522110337179168 logp*logq = 42.41809756055925684 -------------- ************************************* p = 523; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.718420323480937472 E18 -------------- Searches starting with [523,881]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(523,881) = 1.428086479473323230 D2(523,881) = 0.04462238444091643712 C1(523,881) = 2.449274624408987518 C2(523,881) = 1.087698992035218623 C3(523,881) = 89.32194684348669070 C4(523,881) = 7048 Sum = 1119.601659376734778 Averaged sum = 0.1118594923945184112 logp*logq = 42.44658262206620083 -------------- ************************************* p = 523; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.757280909850356636 E18 -------------- Searches starting with [523,883]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(523,883) = 0.8325727010456659522 D2(523,883) = 0.05877421498124873442 C1(523,883) = 1.427918835201748751 C2(523,883) = 1.251254023363865069 C3(523,883) = 13.72151393571264363 C4(523,883) = 7064 Sum = 3842.194569707821400 Averaged sum = 0.3838739703974244580 logp*logq = 42.46077669042502286 -------------- ************************************* p = 523; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.836403732337857800 E18 -------------- Searches starting with [523,887]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(523,887) = 0.5662407940328340582 D2(523,887) = 0.07302887357586732274 C1(523,887) = 0.9711414919605076412 C2(523,887) = 1.859780083757886372 C3(523,887) = 5.936878854992658992 C4(523,887) = 7096 Sum = 4122.627588761811457 Averaged sum = 0.4118920560257579635 logp*logq = 42.48906863221113828 -------------- ************************************* p = 523; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.261247446509967897 E18 -------------- Searches starting with [523,907]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(523,907) = 0.5756564532036159373 D2(523,907) = 0.05735947057533376372 C1(523,907) = 0.8054261230621109194 C2(523,907) = 1.707853508267829431 C3(523,907) = 4.380850063084827840 C4(523,907) = 7256 Sum = 3979.698655345208148 Averaged sum = 0.3976120147212716703 logp*logq = 42.62864144838238795 -------------- ************************************* p = 523; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.352327001038621777 E18 -------------- Searches starting with [523,911]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(523,911) = 0.5853744538331346892 D2(523,911) = 0.05254915172432093353 C1(523,911) = 0.8264070931755796833 C2(523,911) = 1.617883079846007435 C3(523,911) = 4.552717287385693765 C4(523,911) = 7288 Sum = 4100.805974658929437 Averaged sum = 0.4097118567947776438 logp*logq = 42.65618640576371139 -------------- ************************************* p = 523; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.540909664882970119 E18 -------------- Searches starting with [523,919]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(523,919) = 0.6492326831317757847 D2(523,919) = 0.03471339468262796197 C1(523,919) = 1.128583442801601824 C2(523,919) = 2.142902613095921526 C3(523,919) = 7.924426330324695969 C4(523,919) = 7352 Sum = 4093.886567868375135 Averaged sum = 0.4090205383023653846 logp*logq = 42.71091533550908220 -------------- ************************************* p = 523; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.789100708994785880 E18 -------------- Searches starting with [523,929]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(523,929) = 0.6435520896810988657 D2(523,929) = 0.05199420259363730327 C1(523,929) = 1.118558852022868060 C2(523,929) = 1.882172468388285495 C3(523,929) = 7.780057230639580168 C4(523,929) = 7432 Sum = 4118.257526638827391 Averaged sum = 0.4114554427653938845 logp*logq = 42.77866038488321109 -------------- ************************************* p = 523; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.998030097039390681 E18 -------------- Searches starting with [523,937]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(523,937) = 0.5864150177477668342 D2(523,937) = 0.04798189590636943008 C1(523,937) = 0.8657683591694208892 C2(523,937) = 1.879698159667858762 C3(523,937) = 4.893546435885784418 C4(523,937) = 7496 Sum = 3793.899511628103809 Averaged sum = 0.3790488072362977129 logp*logq = 42.83233343796655481 -------------- ************************************* p = 523; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.106071320055612536 E18 -------------- Searches starting with [523,941]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(523,941) = 0.7563301131361003930 D2(523,941) = 0.04600506226426144708 C1(523,941) = 1.146501515184660957 C2(523,941) = 1.878485317773513059 C3(523,941) = 8.189179462381973082 C4(523,941) = 7528 Sum = 3788.666948542709019 Averaged sum = 0.3785260214349794204 logp*logq = 42.85899836205513042 -------------- ************************************* p = 523; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.272727138546589350 E18 -------------- Searches starting with [523,947]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(523,947) = 0.6194273552801437407 D2(523,947) = 0.04307541606850624493 C1(523,947) = 0.8539558624073726676 C2(523,947) = 1.876695480508480739 C3(523,947) = 4.788665758981059895 C4(523,947) = 7576 Sum = 3882.214030954933932 Averaged sum = 0.3878723180092850366 logp*logq = 42.89878397140052014 -------------- ************************************* p = 523; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.445030042428101773 E18 -------------- Searches starting with [523,953]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(523,953) = 0.6784652438565747766 D2(523,953) = 0.03697373246911648432 C1(523,953) = 0.9624412539323068995 C2(523,953) = 1.725005410598980520 C3(523,953) = 5.842894616191568068 C4(523,953) = 7624 Sum = 3910.534127881253166 Averaged sum = 0.3907017811850587637 logp*logq = 42.93831830153733551 -------------- ************************************* p = 523; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.869901974972898726 E18 -------------- Searches starting with [523,967]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(523,967) = 0.6006854016972919061 D2(523,967) = 0.02726233008858857414 C1(523,967) = 0.8296314386415778019 C2(523,967) = 1.517868757988820582 C3(523,967) = 4.579720983814487089 C4(523,967) = 7736 Sum = 3884.296301279715878 Averaged sum = 0.3880803578059462362 logp*logq = 43.02960548244242235 -------------- ************************************* p = 523; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.997377080094573667 E18 -------------- Searches starting with [523,971]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(523,971) = 0.6128591956790087189 D2(523,971) = 0.001102064470614918796 C1(523,971) = 1.081830785614732487 C2(523,971) = 2.172366392149932960 C3(523,971) = 7.273228355031625070 C4(523,971) = 7768 Sum = 4102.803013784648518 Averaged sum = 0.4099113811354429532 logp*logq = 43.05544486470352208 -------------- ************************************* p = 523; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.193840284857301663 E18 -------------- Searches starting with [523,977]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(523,977) = 1.074776028296643412 D2(523,977) = 0.01699575459497208310 C1(523,977) = 1.896908165984083158 C2(523,977) = 1.093784913341965101 C3(523,977) = 32.43196601511853231 C4(523,977) = 7816 Sum = 2125.966692997771960 Averaged sum = 0.2124055043458659167 logp*logq = 43.09400503672938142 -------------- ************************************* p = 523; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.396752861164616394 E18 -------------- Searches starting with [523,983]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(523,983) = 0.6985976959036806313 D2(523,983) = 0.02691830991142334375 C1(523,983) = 1.232944360988891206 C2(523,983) = 1.908096693709710705 C3(523,983) = 9.596127967234820066 C4(523,983) = 7864 Sum = 3926.243065653139089 Averaged sum = 0.3922712624291276940 logp*logq = 43.13232912458991104 -------------- ************************************* p = 523; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.677630334622410902 E18 -------------- Searches starting with [523,991]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(523,991) = 0.6734790050898086973 D2(523,991) = 0.02329970716000357927 C1(523,991) = 0.9831410148443002216 C2(523,991) = 1.905960519518127260 C3(523,991) = 6.068989002634060179 C4(523,991) = 7928 Sum = 4143.892419083543961 Averaged sum = 0.4140166269441047018 logp*logq = 43.18306562496726904 -------------- ************************************* p = 523; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.896260047996695331 E18 -------------- Searches starting with [523,997]-exponents: u = 1, v = 9 n_start has 30 digits starting right neighbors generation We generated 20 left neighbors We generated 9990 right neighbors We generated 10009 non-negative rho_i D1(523,997) = 0.6506734230235303500 D2(523,997) = 0.02062664356515873727 C1(523,997) = 0.9060678157983900858 C2(523,997) = 1.904391300301567710 C3(523,997) = 5.268949745929906335 C4(523,997) = 7976 Sum = 4063.576040181440772 Averaged sum = 0.4059922110282186804 logp*logq = 43.22084993364112765 -------------- ************************************* p = 541; q = 547; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 170334344982937410.5 -------------- Searches starting with [541,547]-exponents: u = 1, v = 570 n_start has 1564 digits --- performed 5000 steps in the continued fraction search [541,547]-exponents: u = 468, v = 95 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(541,547) = 0.6130259417107987030 D2(541,547) = 0.1967287941015826589 C1(541,547) = 0.7906839180045311878 C2(541,547) = 1.224365285934290968 C3(541,547) = 4.282198936301313982 C4(541,547) = 4376 Sum = 5503.396205585857659 Averaged sum = 0.5503946600245882247 logp*logq = 39.67653963566310903 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(541,547) = 0.6130259417107987030 D2(541,547) = 0.1967287941015826589 C1(541,547) = 0.7906839180045311878 C2(541,547) = 1.224365285934290968 C3(541,547) = 4.282198936301313982 C4(541,547) = 4376 Sum = 5503.396205585857659 Averaged sum = 0.5503946600245882247 logp*logq = 39.67653963566310903 -------------- ************************************* p = 541; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 190905316081707172.2 -------------- Searches starting with [541,557]-exponents: u = 1, v = 215 n_start has 594 digits starting right neighbors generation We generated 4931 left neighbors We generated 5079 right neighbors We generated 10009 non-negative rho_i D1(541,557) = 0.8533687656270522996 D2(541,557) = 0.007096367769744530454 C1(541,557) = 1.145154204221535624 C2(541,557) = 1.189342780087747733 C3(541,557) = 8.219557245637519134 C4(541,557) = 4456 Sum = 4978.603701803178305 Averaged sum = 0.4974126987514415331 logp*logq = 39.79055397272299923 -------------- ************************************* p = 541; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204222015870047005.3 -------------- Searches starting with [541,563]-exponents: u = 1, v = 157 n_start has 435 digits starting right neighbors generation We generated 2708 left neighbors We generated 7302 right neighbors We generated 10009 non-negative rho_i D1(541,563) = 0.7813506818953665129 D2(541,563) = 0.005958282383296289393 C1(541,563) = 1.064902720046817992 C2(541,563) = 1.244110386115951925 C3(541,563) = 7.091475124772992352 C4(541,563) = 4504 Sum = 4869.623545430516067 Averaged sum = 0.4865244825087936923 logp*logq = 39.85798411006000290 -------------- ************************************* p = 541; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 218311519637151644.4 -------------- Searches starting with [541,569]-exponents: u = 1, v = 124 n_start has 345 digits starting right neighbors generation We generated 1784 left neighbors We generated 8226 right neighbors We generated 10009 non-negative rho_i D1(541,569) = 0.6359736226492333842 D2(541,569) = 0.0002795653204080871511 C1(541,569) = 0.8778694387764081152 C2(541,569) = 1.284905950292755418 C3(541,569) = 5.027107696567745295 C4(541,569) = 4552 Sum = 4689.242552342891140 Averaged sum = 0.4685026028916865960 logp*logq = 39.92469942682763767 -------------- ************************************* p = 541; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 223185938167442114.4 -------------- Searches starting with [541,571]-exponents: u = 1, v = 116 n_start has 323 digits starting right neighbors generation We generated 1560 left neighbors We generated 8450 right neighbors We generated 10009 non-negative rho_i D1(541,571) = 0.5823895819317939736 D2(541,571) = 0.003906426488441704976 C1(541,571) = 0.8069502807990437372 C2(541,571) = 1.301852640355225690 C3(541,571) = 4.412267350836188598 C4(541,571) = 4568 Sum = 4629.325274875739848 Averaged sum = 0.4625162628510080775 logp*logq = 39.94678162239126612 -------------- ************************************* p = 541; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 238362040636730981.5 -------------- Searches starting with [541,577]-exponents: u = 1, v = 97 n_start has 271 digits starting right neighbors generation We generated 1121 left neighbors We generated 8889 right neighbors We generated 10009 non-negative rho_i D1(541,577) = 0.6061449899836511531 D2(541,577) = 0.001437116841634976638 C1(541,577) = 0.8487951254314991482 C2(541,577) = 1.337381062944881156 C3(541,577) = 4.765309448853440213 C4(541,577) = 4616 Sum = 4586.612415328579464 Averaged sum = 0.4582488175970206278 logp*logq = 40.01256709190708352 -------------- ************************************* p = 541; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 265583079619289519.6 -------------- Searches starting with [541,587]-exponents: u = 1, v = 77 n_start has 216 digits starting right neighbors generation We generated 744 left neighbors We generated 9266 right neighbors We generated 10009 non-negative rho_i D1(541,587) = 0.7458168741484788785 D2(541,587) = 0.01018331772580830761 C1(541,587) = 1.060719672121194608 C2(541,587) = 1.399236799474640254 C3(541,587) = 7.037117500634763697 C4(541,587) = 4696 Sum = 3729.770926900114418 Averaged sum = 0.3726417151463797000 logp*logq = 40.12070410423095954 -------------- ************************************* p = 541; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 283136506062015408.9 -------------- Searches starting with [541,593]-exponents: u = 1, v = 68 n_start has 192 digits starting right neighbors generation We generated 531 left neighbors We generated 9479 right neighbors We generated 10009 non-negative rho_i D1(541,593) = 0.6329230371214347883 D2(541,593) = 0.03150490294448866076 C1(541,593) = 0.8688688521548939646 C2(541,593) = 1.446731674574732898 C3(541,593) = 4.944561018122695766 C4(541,593) = 4744 Sum = 4395.416960948594287 Averaged sum = 0.4391464642770101196 logp*logq = 40.18470552983485831 -------------- ************************************* p = 541; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 301655681645999161.1 -------------- Searches starting with [541,599]-exponents: u = 1, v = 61 n_start has 173 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(541,599) = 0.6455620591053216166 D2(541,599) = 0.0003602383807289291647 C1(541,599) = 0.9321842448675727900 C2(541,599) = 1.445842309397055510 C3(541,599) = 5.555326181330473245 C4(541,599) = 4792 Sum = 4510.935862033637664 Averaged sum = 0.4506879670330340357 logp*logq = 40.24806263484632817 -------------- ************************************* p = 541; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 308050682689476211.6 -------------- Searches starting with [541,601]-exponents: u = 1, v = 59 n_start has 167 digits starting right neighbors generation We generated 405 left neighbors We generated 9605 right neighbors We generated 10009 non-negative rho_i D1(541,601) = 0.6821300676122478261 D2(541,601) = 0.02827093366712713984 C1(541,601) = 0.9873647670687327974 C2(541,601) = 1.478732159320962167 C3(541,601) = 6.148830864148405457 C4(541,601) = 4808 Sum = 4593.563212899551902 Averaged sum = 0.4589432723448448298 logp*logq = 40.26904071853331573 -------------- ************************************* p = 541; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 327924122501645028.4 -------------- Searches starting with [541,607]-exponents: u = 1, v = 54 n_start has 154 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(541,607) = 0.5561580222293511261 D2(541,607) = 0.01423839091256347346 C1(541,607) = 0.8103110202981427212 C2(541,607) = 1.490548350290066863 C3(541,607) = 4.439628897799544353 C4(541,607) = 4856 Sum = 4223.771569929534587 Averaged sum = 0.4219973593695208899 logp*logq = 40.33155864269658161 -------------- ************************************* p = 541; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 348865071063214266.6 -------------- Searches starting with [541,613]-exponents: u = 1, v = 50 n_start has 143 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(541,613) = 0.6254723311533001713 D2(541,613) = 0.007955201663285977856 C1(541,613) = 0.8538966284765319479 C2(541,613) = 1.507790643019898937 C3(541,613) = 4.810238730459384668 C4(541,613) = 4904 Sum = 4091.229453885780137 Averaged sum = 0.4087550658293316152 logp*logq = 40.39346162649321512 -------------- ************************************* p = 541; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 363441440223954140.5 -------------- Searches starting with [541,617]-exponents: u = 1, v = 47 n_start has 134 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(541,617) = 0.7182625928327703382 D2(541,617) = 0.01903350026858455276 C1(541,617) = 1.057755989495271203 C2(541,617) = 1.531885517216592440 C3(541,617) = 6.998857579305730568 C4(541,617) = 4936 Sum = 4537.226910774923296 Averaged sum = 0.4533147078404359373 logp*logq = 40.43439457910974342 -------------- ************************************* p = 541; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 370919572969413966.1 -------------- Searches starting with [541,619]-exponents: u = 1, v = 46 n_start has 132 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(541,619) = 0.5749167652508613621 D2(541,619) = 0.02080409698822917725 C1(541,619) = 0.8481038175996649809 C2(541,619) = 1.540456791167694752 C3(541,619) = 4.759253428343012169 C4(541,619) = 4952 Sum = 4172.489405883361080 Averaged sum = 0.4168737542095475152 logp*logq = 40.45476164956795626 -------------- ************************************* p = 541; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 418560991233856442.6 -------------- Searches starting with [541,631]-exponents: u = 1, v = 40 n_start has 115 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(541,631) = 0.7407934874077231521 D2(541,631) = 0.03593377910987590451 C1(541,631) = 1.105377068616396334 C2(541,631) = 1.593449971867343288 C3(541,631) = 7.639606705210610594 C4(541,631) = 5048 Sum = 4456.751557213239725 Averaged sum = 0.4452744087534458712 logp*logq = 40.57559901193681423 -------------- ************************************* p = 541; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 462098369321451355.6 -------------- Searches starting with [541,641]-exponents: u = 1, v = 37 n_start has 107 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(541,641) = 0.7334699599966723701 D2(541,641) = 0.06792954814695251394 C1(541,641) = 1.104388731006688436 C2(541,641) = 1.652080951394091855 C3(541,641) = 7.625730124704856158 C4(541,641) = 5128 Sum = 2586.075430040514223 Averaged sum = 0.2583750054991022303 logp*logq = 40.67455418393725035 -------------- ************************************* p = 541; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 471247518241733550.7 -------------- Searches starting with [541,643]-exponents: u = 1, v = 36 n_start has 104 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(541,643) = 0.6172234830534441405 D2(541,643) = 0.03922735932660153368 C1(541,643) = 0.8801970830608144242 C2(541,643) = 1.632635274104399040 C3(541,643) = 5.048678471904164183 C4(541,643) = 5144 Sum = 4096.310923472056265 Averaged sum = 0.4092627558669253936 logp*logq = 40.69415986732849973 -------------- ************************************* p = 541; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 490003509964497741.1 -------------- Searches starting with [541,647]-exponents: u = 1, v = 35 n_start has 102 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(541,647) = 0.6884992273449859180 D2(541,647) = 0.05039926640785051907 C1(541,647) = 0.9239123877540714019 C2(541,647) = 1.653877147692518731 C3(541,647) = 5.471435542733106201 C4(541,647) = 5176 Sum = 3531.348123074958666 Averaged sum = 0.3528172767584132946 logp*logq = 40.73318894918255455 -------------- ************************************* p = 541; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 519312627949704016.5 -------------- Searches starting with [541,653]-exponents: u = 1, v = 33 n_start has 96 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(541,653) = 0.6446500989940214896 D2(541,653) = 0.01726630133401058629 C1(541,653) = 0.9247178712958489652 C2(541,653) = 1.641698319717315712 C3(541,653) = 5.479548526451561503 C4(541,653) = 5224 Sum = 4092.046614982984388 Averaged sum = 0.4088367084606838234 logp*logq = 40.79128246271872470 -------------- ************************************* p = 541; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 550082480093795205.4 -------------- Searches starting with [541,659]-exponents: u = 1, v = 31 n_start has 91 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(541,659) = 0.7282829209768657020 D2(541,659) = 0.04963058137720316300 C1(541,659) = 1.111430878661364041 C2(541,659) = 1.685885889484361959 C3(541,659) = 7.725156909373316642 C4(541,659) = 5272 Sum = 4112.603716331721699 Averaged sum = 0.4108905701200641122 logp*logq = 40.84884462570065461 -------------- ************************************* p = 541; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 560673765329372229.3 -------------- Searches starting with [541,661]-exponents: u = 1, v = 31 n_start has 91 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(541,661) = 0.6094156459759319058 D2(541,661) = 0.003512310356173245055 C1(541,661) = 0.8297605624516699353 C2(541,661) = 1.651238771404591218 C3(541,661) = 4.601343436383229410 C4(541,661) = 5288 Sum = 3912.781186681217680 Averaged sum = 0.3909262850116113178 logp*logq = 40.86791560780596976 -------------- ************************************* p = 541; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 627891387464898162.4 -------------- Searches starting with [541,673]-exponents: u = 1, v = 28 n_start has 82 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(541,673) = 0.6201724060728802500 D2(541,673) = 0.03092545722210286679 C1(541,673) = 0.9555866209623342375 C2(541,673) = 1.705064646476714930 C3(541,673) = 5.799698402806693305 C4(541,673) = 5384 Sum = 3991.822009149609228 Averaged sum = 0.3988232599809780425 logp*logq = 40.98114359652466695 -------------- ************************************* p = 541; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 651750387404031789.4 -------------- Searches starting with [541,677]-exponents: u = 1, v = 28 n_start has 82 digits starting right neighbors generation We generated 139 left neighbors We generated 9871 right neighbors We generated 10009 non-negative rho_i D1(541,677) = 0.8135404200282042363 D2(541,677) = 0.002374067944323519407 C1(541,677) = 1.257976056444034430 C2(541,677) = 1.690269124297253361 C3(541,677) = 10.11533564169621057 C4(541,677) = 5416 Sum = 2149.418880163232809 Averaged sum = 0.2147486142634861434 logp*logq = 41.01843804212999895 -------------- ************************************* p = 541; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 688966175471435834.0 -------------- Searches starting with [541,683]-exponents: u = 1, v = 27 n_start has 80 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(541,683) = 1.523451165299865698 D2(541,683) = 0.1020887481119370666 C1(541,683) = 2.364455106065781081 C2(541,683) = 1.791267493463301814 C3(541,683) = 77.43399338241037098 C4(541,683) = 5464 Sum = 2273.434972049147378 Averaged sum = 0.2271390720400786670 logp*logq = 41.07396857251527029 -------------- ************************************* p = 541; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 741354426850313438.5 -------------- Searches starting with [541,691]-exponents: u = 1, v = 25 n_start has 74 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(541,691) = 0.5279258971563516763 D2(541,691) = 0.01145491446553338729 C1(541,691) = 0.7495444193803240866 C2(541,691) = 1.730451289317668267 C3(541,691) = 3.970096309803760957 C4(541,691) = 5528 Sum = 4145.691983952390698 Averaged sum = 0.4141964216157848634 logp*logq = 41.14725521469339087 -------------- ************************************* p = 541; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 811515158305702462.2 -------------- Searches starting with [541,701]-exponents: u = 1, v = 24 n_start has 72 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(541,701) = 0.5491256871125059692 D2(541,701) = 0.04232670279900733887 C1(541,701) = 0.7823700614061903206 C2(541,701) = 1.778826380879089094 C3(541,701) = 4.217207887182745032 C4(541,701) = 5608 Sum = 3814.064137347202979 Averaged sum = 0.3810634566237589149 logp*logq = 41.23767946105711238 -------------- ************************************* p = 541; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 871589467875121233.4 -------------- Searches starting with [541,709]-exponents: u = 1, v = 23 n_start has 69 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(541,709) = 0.5855909177188389317 D2(541,709) = 0.03340143779488495053 C1(541,709) = 0.8210606693216308989 C2(541,709) = 1.787993511477235061 C3(541,709) = 4.528291968207866795 C4(541,709) = 5672 Sum = 4131.139772629179778 Averaged sum = 0.4127425090048136455 logp*logq = 41.30909491424031411 -------------- ************************************* p = 541; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 951902950983084324.3 -------------- Searches starting with [541,719]-exponents: u = 1, v = 22 n_start has 66 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(541,719) = 0.9640713407215767867 D2(541,719) = 0.03806840905026295287 C1(541,719) = 1.303782651465990118 C2(541,719) = 1.812308782843509807 C3(541,719) = 11.00460797191991209 C4(541,719) = 5752 Sum = 3859.669310773044887 Averaged sum = 0.3856198731914321998 logp*logq = 41.39723948226092747 -------------- ************************************* p = 541; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.020553622000378108 E18 -------------- Searches starting with [541,727]-exponents: u = 1, v = 21 n_start has 63 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(541,727) = 0.5657583091139786036 D2(541,727) = 0.005991662638226481559 C1(541,727) = 0.8132710444996237799 C2(541,727) = 1.800748222046327717 C3(541,727) = 4.463868511328206559 C4(541,727) = 5816 Sum = 3807.470444622955429 Averaged sum = 0.3804046802500704794 logp*logq = 41.46687692061148918 -------------- ************************************* p = 541; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.074733014060395246 E18 -------------- Searches starting with [541,733]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(541,733) = 0.5260717613770682854 D2(541,733) = 0.07787969694554538352 C1(541,733) = 0.7427603634901300664 C2(541,733) = 1.873874445607189272 C3(541,733) = 3.920860136343183765 C4(541,733) = 5864 Sum = 4124.330037588132455 Averaged sum = 0.4120621478257700524 logp*logq = 41.51860394561265541 -------------- ************************************* p = 541; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.131311528432114341 E18 -------------- Searches starting with [541,739]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(541,739) = 0.5850384682906887963 D2(541,739) = 0.005707717472412368592 C1(541,739) = 0.9385685714360756624 C2(541,739) = 1.823266600137205137 C3(541,739) = 5.620952522388292219 C4(541,739) = 5912 Sum = 4029.685804979697851 Averaged sum = 0.4026062348865718704 logp*logq = 41.56990927821999572 -------------- ************************************* p = 541; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.170405488959856358 E18 -------------- Searches starting with [541,743]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(541,743) = 0.8074085033984526955 D2(541,743) = 0.04921880948326629882 C1(541,743) = 1.115017633687380316 C2(541,743) = 1.867596544645996753 C3(541,743) = 7.776294867043545432 C4(541,743) = 5944 Sum = 4118.373614213395701 Averaged sum = 0.4114670410843636428 logp*logq = 41.60388193442092765 -------------- ************************************* p = 541; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.252010060241938886 E18 -------------- Searches starting with [541,751]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(541,751) = 0.6077264605411291821 D2(541,751) = 0.1429882691370759384 C1(541,751) = 0.8499553627349216307 C2(541,751) = 1.457691465706843889 C3(541,751) = 4.775490727542903877 C4(541,751) = 6008 Sum = 3864.832747515067704 Averaged sum = 0.3861357525741899994 logp*logq = 41.67128198187545784 -------------- ************************************* p = 541; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.316307978536571427 E18 -------------- Searches starting with [541,757]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(541,757) = 0.6120433425683368541 D2(541,757) = 0.04981641012463216085 C1(541,757) = 0.8697089649396198713 C2(541,757) = 1.893058108675181703 C3(541,757) = 4.952208206991491150 C4(541,757) = 6056 Sum = 4192.427193676102520 Averaged sum = 0.4188657402014289659 logp*logq = 41.72136250565967339 -------------- ************************************* p = 541; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.360698007034791663 E18 -------------- Searches starting with [541,761]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(541,761) = 1.024668464623619753 D2(541,761) = 0.09548268097953419597 C1(541,761) = 1.389617233160501456 C2(541,761) = 1.939529662032035487 C3(541,761) = 12.88684718746434303 C4(541,761) = 6088 Sum = 3872.465535433311596 Averaged sum = 0.3868983450328016381 logp*logq = 41.75452948244470104 -------------- ************************************* p = 541; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.453263828732596211 E18 -------------- Searches starting with [541,769]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(541,769) = 0.6871680739709992853 D2(541,769) = 0.01150119187644253734 C1(541,769) = 1.116468457809860848 C2(541,769) = 1.881123824226762745 C3(541,769) = 7.797075941587693411 C4(541,769) = 6152 Sum = 3951.946828984698484 Averaged sum = 0.3948393275037165035 logp*logq = 41.82034361717547664 -------------- ************************************* p = 541; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.501497134772638263 E18 -------------- Searches starting with [541,773]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(541,773) = 0.5772004458947665188 D2(541,773) = 0.04980363855354073513 C1(541,773) = 0.8409694071384875242 C2(541,773) = 1.920225234746657965 C3(541,773) = 4.697202096344176146 C4(541,773) = 6184 Sum = 3966.885115132219819 Averaged sum = 0.3963318128816285162 logp*logq = 41.85299437408891837 -------------- ************************************* p = 541; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.681059989269144743 E18 -------------- Searches starting with [541,787]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(541,787) = 0.6438772506849721770 D2(541,787) = 0.009600364416727319191 C1(541,787) = 0.9077469476053158944 C2(541,787) = 1.909036122552136716 C3(541,787) = 5.311130011999654950 C4(541,787) = 6296 Sum = 4211.230076101130390 Averaged sum = 0.4207443377061774792 logp*logq = 41.96595621433879046 -------------- ************************************* p = 541; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.820093659042937949 E18 -------------- Searches starting with [541,797]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(541,797) = 0.7637452982878232402 D2(541,797) = 0.1040614275617899615 C1(541,797) = 1.095553894348318232 C2(541,797) = 2.005457817146210077 C3(541,797) = 7.502800493105487894 C4(541,797) = 6376 Sum = 3878.786053393753421 Averaged sum = 0.3875298284937309842 logp*logq = 42.04541963467005708 -------------- ************************************* p = 541; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.999582318505605129 E18 -------------- Searches starting with [541,809]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(541,809) = 0.5979687552342162798 D2(541,809) = 0.01480329593185538067 C1(541,809) = 0.8791445641852110003 C2(541,809) = 1.947446777798273765 C3(541,809) = 5.038913115148730792 C4(541,809) = 6472 Sum = 3862.713197749690388 Averaged sum = 0.3859239881856019970 logp*logq = 42.13946999189530471 -------------- ************************************* p = 541; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.030897132780851972 E18 -------------- Searches starting with [541,811]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(541,811) = 0.9203792631312175014 D2(541,811) = 0.03085867412439417160 C1(541,811) = 1.245713553480982702 C2(541,811) = 1.963888992528058556 C3(541,811) = 9.889718903221826274 C4(541,811) = 6488 Sum = 3686.442162068421383 Averaged sum = 0.3683127347455711243 logp*logq = 42.15500930665144705 -------------- ************************************* p = 541; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.193731190973189154 E18 -------------- Searches starting with [541,821]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(541,821) = 0.7116837912355338871 D2(541,821) = 0.09287723932005398241 C1(541,821) = 1.183920604483259193 C2(541,821) = 1.332401786522669061 C3(541,821) = 8.827106872272298640 C4(541,821) = 6568 Sum = 3803.174552926620595 Averaged sum = 0.3799754773630353277 logp*logq = 42.23213550817274961 -------------- ************************************* p = 541; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.227581120650755309 E18 -------------- Searches starting with [541,823]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(541,823) = 1.715967209700411281 D2(541,823) = 0.07849216089296082540 C1(541,823) = 2.854446047063277754 C2(541,823) = 1.137772846428553807 C3(541,823) = 190.7123801643071245 C4(541,823) = 6584 Sum = 1517.532777628761264 Averaged sum = 0.1516168226225158622 logp*logq = 42.24744797139310119 -------------- ************************************* p = 541; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.296600314484329184 E18 -------------- Searches starting with [541,827]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(541,827) = 0.7229144545018955590 D2(541,827) = 0.1225224238124014487 C1(541,827) = 1.014930344361582777 C2(541,827) = 1.813475490413564930 C3(541,827) = 6.468659917802505973 C4(541,827) = 6616 Sum = 4305.223999121673732 Averaged sum = 0.4301352781618217336 logp*logq = 42.27796157918750713 -------------- ************************************* p = 541; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.331778797065306549 E18 -------------- Searches starting with [541,829]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(541,829) = 0.8155542624035046808 D2(541,829) = 0.1211789244143312899 C1(541,829) = 1.177651046129879836 C2(541,829) = 1.812540107430568068 C3(541,829) = 8.725889684065397660 C4(541,829) = 6632 Sum = 4578.487849030644394 Averaged sum = 0.4574370915206958132 logp*logq = 42.29316308242115827 -------------- ************************************* p = 541; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.514547772973381375 E18 -------------- Searches starting with [541,839]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(541,839) = 0.7759269276612809779 D2(541,839) = 0.04922388270748970934 C1(541,839) = 1.148731976396639574 C2(541,839) = 2.019693927469518087 C3(541,839) = 8.273831250473376100 C4(541,839) = 6712 Sum = 4206.344233407540788 Averaged sum = 0.4202561927672635416 logp*logq = 42.36862464933740659 -------------- ************************************* p = 541; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.790558543474136215 E18 -------------- Searches starting with [541,853]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(541,853) = 0.5427343905295630021 D2(541,853) = 0.1072841998759796906 C1(541,853) = 0.9113990366922863401 C2(541,853) = 1.828030569066614861 C3(541,853) = 5.346930485960957205 C4(541,853) = 6824 Sum = 4101.310238185237841 Averaged sum = 0.4097622378044997344 logp*logq = 42.47277344448339016 -------------- ************************************* p = 541; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.873942330453350980 E18 -------------- Searches starting with [541,857]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(541,857) = 0.6984653055690936119 D2(541,857) = 0.1047943957084200633 C1(541,857) = 1.037997443157741705 C2(541,857) = 1.826341259453198533 C3(541,857) = 6.749044891481648593 C4(541,857) = 6856 Sum = 3481.018761069621609 Averaged sum = 0.3477888661274474582 logp*logq = 42.50221639539612246 -------------- ************************************* p = 541; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.916413777703025890 E18 -------------- Searches starting with [541,859]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(541,859) = 0.5850695755090121967 D2(541,859) = 0.1035613877170276187 C1(541,859) = 0.8359175479100245011 C2(541,859) = 1.825507073865298887 C3(541,859) = 4.653753577209102649 C4(541,859) = 6872 Sum = 4066.159136231089857 Averaged sum = 0.4062502883635817621 logp*logq = 42.51688637704762432 -------------- ************************************* p = 541; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.002942003523180107 E18 -------------- Searches starting with [541,863]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(541,863) = 0.7305767742785728659 D2(541,863) = 0.001674079148570507333 C1(541,863) = 1.129680195122357424 C2(541,863) = 2.012564562875062601 C3(541,863) = 7.988890066073421847 C4(541,863) = 6904 Sum = 3176.604197880755197 Averaged sum = 0.3173747824838400636 logp*logq = 42.54612414986142625 -------------- ************************************* p = 541; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.323000285006425258 E18 -------------- Searches starting with [541,877]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(541,877) = 0.9634944703728242974 D2(541,877) = 0.05889512364567409504 C1(541,877) = 1.635118254999237368 C2(541,877) = 1.153926182817132175 C3(541,877) = 20.24296720657496285 C4(541,877) = 7016 Sum = 2366.543542232046815 Averaged sum = 0.2364415568220648232 logp*logq = 42.64739974903308364 -------------- ************************************* p = 541; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.419543696656988359 E18 -------------- Searches starting with [541,881]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(541,881) = 0.6829682105168771920 D2(541,881) = 0.08576024237888850864 C1(541,881) = 1.159018162901297560 C2(541,881) = 1.378086390607863400 C3(541,881) = 8.431874933560477654 C4(541,881) = 7048 Sum = 4073.633785812418837 Averaged sum = 0.4069970812081545446 logp*logq = 42.67603879403570489 -------------- ************************************* p = 541; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.468693181510309904 E18 -------------- Searches starting with [541,883]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(541,883) = 0.5688419050924275567 D2(541,883) = 0.09076656819964823957 C1(541,883) = 0.9653422951011676415 C2(541,883) = 1.844861506819822883 C3(541,883) = 5.904717002525698712 C4(541,883) = 7064 Sum = 4098.802924081626412 Averaged sum = 0.4095117318494980929 logp*logq = 42.69030959216613863 -------------- ************************************* p = 541; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.568776427310621362 E18 -------------- Searches starting with [541,887]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(541,887) = 0.7033346207636804434 D2(541,887) = 0.08845961473088856173 C1(541,887) = 0.9612013207617567058 C2(541,887) = 1.843338726843593114 C3(541,887) = 5.859909632481449515 C4(541,887) = 7096 Sum = 3892.367374190563834 Averaged sum = 0.3888867393536381091 logp*logq = 42.71875447348846188 -------------- ************************************* p = 541; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.106413884125842842 E18 -------------- Searches starting with [541,907]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(541,907) = 0.6328817373802764079 D2(541,907) = 0.04054697054026747179 C1(541,907) = 0.8668080195974299466 C2(541,907) = 2.100081033507107959 C3(541,907) = 4.925852112550618044 C4(541,907) = 7256 Sum = 4076.815880256337210 Averaged sum = 0.4073150045215643131 logp*logq = 42.85908178724541376 -------------- ************************************* p = 541; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.221725675272190567 E18 -------------- Searches starting with [541,911]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(541,911) = 0.8938859978761470580 D2(541,911) = 0.05398448212580419376 C1(541,911) = 1.214051861326023074 C2(541,911) = 1.317781739128241087 C3(541,911) = 9.330176170232388464 C4(541,911) = 7288 Sum = 3980.772336588128747 Averaged sum = 0.3977192863011418470 logp*logq = 42.88677564614217972 -------------- ************************************* p = 541; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.460535176776501477 E18 -------------- Searches starting with [541,919]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(541,919) = 0.7104725624084722617 D2(541,919) = 0.07216539203934147479 C1(541,919) = 0.9924570864699882759 C2(541,919) = 1.864142751927507633 C3(541,919) = 6.206699697235677458 C4(541,919) = 7352 Sum = 3925.847764462839201 Averaged sum = 0.3922317678552142273 logp*logq = 42.94180042751893327 -------------- ************************************* p = 541; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.774933354637929532 E18 -------------- Searches starting with [541,929]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(541,929) = 0.5808700631347391262 D2(541,929) = 0.06689950038934262361 C1(541,929) = 0.7974114652728392008 C2(541,929) = 1.860783541033926458 C3(541,929) = 4.335521927513870341 C4(541,929) = 7432 Sum = 3834.439275849741554 Averaged sum = 0.3830991383604497506 logp*logq = 43.00991169058422494 -------------- ************************************* p = 541; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.039683152738640982 E18 -------------- Searches starting with [541,937]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(541,937) = 0.6031267243776106602 D2(541,937) = 0.05787291493133671686 C1(541,937) = 0.9477980944914283697 C2(541,937) = 1.712811967448914588 C3(541,937) = 5.717198352974740653 C4(541,937) = 7496 Sum = 3838.302309655363737 Averaged sum = 0.3834850943805938392 logp*logq = 43.06387488747980615 -------------- ************************************* p = 541; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.176619732356610450 E18 -------------- Searches starting with [541,941]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(541,941) = 0.5823008479166312864 D2(541,941) = 0.05600669108787199867 C1(541,941) = 0.8154057682792961899 C2(541,941) = 1.711676289298017121 C3(541,941) = 4.481431843814668492 C4(541,941) = 7528 Sum = 3972.926042847997142 Averaged sum = 0.3969353624585869859 logp*logq = 43.09068395583228397 -------------- ************************************* p = 541; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.387885260084073515 E18 -------------- Searches starting with [541,947]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(541,947) = 0.6729396391338547434 D2(541,947) = 0.04853049761835133010 C1(541,947) = 0.9910107263909087362 C2(541,947) = 1.558671608127129450 C3(541,947) = 6.190208187707407032 C4(541,947) = 7576 Sum = 3332.347925966183709 Averaged sum = 0.3329351509607536926 logp*logq = 43.13068463675837431 -------------- ************************************* p = 541; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.606356292156276768 E18 -------------- Searches starting with [541,953]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(541,953) = 0.6236665369173454191 D2(541,953) = 0.03013663759797870105 C1(541,953) = 1.085509531857461319 C2(541,953) = 2.144270192758188883 C3(541,953) = 7.365446698762924830 C4(541,953) = 7624 Sum = 4115.229392588508016 Averaged sum = 0.4111529016473681702 logp*logq = 43.17043268012000548 -------------- ************************************* p = 541; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.145263755158693325 E18 -------------- Searches starting with [541,967]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(541,967) = 0.7560702272326542371 D2(541,967) = 0.04901222194866506419 C1(541,967) = 1.082344273515966552 C2(541,967) = 1.885307797129748169 C3(541,967) = 7.322685941619044488 C4(541,967) = 7736 Sum = 3734.861724264349162 Averaged sum = 0.3731503371230241944 logp*logq = 43.26221333790323986 -------------- ************************************* p = 541; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.307003785275342197 E18 -------------- Searches starting with [541,971]-exponents: u = 1, v = 10 n_start has 33 digits **************************************************** Computing .... elapsed time = 46 minutes **************************************************** starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(541,971) = 0.6635727054982749553 D2(541,971) = 0.04709274906726230088 C1(541,971) = 0.9806175102110308572 C2(541,971) = 1.884128171574320475 C3(541,971) = 6.072985630664349257 C4(541,971) = 7768 Sum = 3313.296254798730796 Averaged sum = 0.3310316969526157255 logp*logq = 43.28819240174465617 -------------- ************************************* p = 541; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.556319194188597540 E18 -------------- Searches starting with [541,977]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(541,977) = 0.7448757804896897008 D2(541,977) = 0.04424714933817522919 C1(541,977) = 1.003978316203867701 C2(541,977) = 1.882386544153507385 C3(541,977) = 6.339644277501217364 C4(541,977) = 7816 Sum = 3546.819399023436309 Averaged sum = 0.3543630131904722059 logp*logq = 43.32696102092731771 -------------- ************************************* p = 541; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.813872488071678181 E18 -------------- Searches starting with [541,983]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(541,983) = 1.093631742194471462 D2(541,983) = 0.04144090045323985432 C1(541,983) = 1.495125849080610139 C2(541,983) = 1.880677385645232669 C3(541,983) = 15.64718095577800641 C4(541,983) = 7864 Sum = 4119.740486021435928 Averaged sum = 0.4116036053573220030 logp*logq = 43.36549227972956947 -------------- ************************************* p = 541; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.170471235817947966 E18 -------------- Searches starting with [541,991]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(541,991) = 0.8147098039046760595 D2(541,991) = 0.03474261194797056847 C1(541,991) = 1.185385878596486729 C2(541,991) = 1.728404554541183067 C3(541,991) = 8.850931358756585293 C4(541,991) = 7928 Sum = 4355.617276331585089 Averaged sum = 0.4351700745660490648 logp*logq = 43.41650304961077361 -------------- ************************************* p = 541; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.448107232907533189 E18 -------------- Searches starting with [541,997]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(541,997) = 0.5233310981520865706 D2(541,997) = 0.03053471154831736880 C1(541,997) = 0.7436533968844790885 C2(541,997) = 1.635492222240181448 C3(541,997) = 3.927306379394744013 C4(541,997) = 7976 Sum = 4008.508527199578369 Averaged sum = 0.4004904113497430681 logp*logq = 43.45449161130792061 -------------- ************************************* p = 547; q = 557; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 204693238362301510.7 -------------- Searches starting with [547,557]-exponents: u = 1, v = 347 n_start has 956 digits --- performed 5000 steps in the continued fraction search [547,557]-exponents: u = 233, v = 101 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(547,557) = 0.5260935611736694071 D2(547,557) = 0.04857884013524445788 C1(547,557) = 0.6941055521488014146 C2(547,557) = 1.152752546158034974 C3(547,557) = 3.589545868698109960 C4(547,557) = 4456 Sum = 5218.989347724235626 Averaged sum = 0.5219511298854121038 logp*logq = 39.86028885509441202 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(547,557) = 0.5260935611736694071 D2(547,557) = 0.04857884013524445788 C1(547,557) = 0.6941055521488014146 C2(547,557) = 1.152752546158034974 C3(547,557) = 3.589545868698109960 C4(547,557) = 4456 Sum = 5218.989347724235626 Averaged sum = 0.5219511298854121038 logp*logq = 39.86028885509441202 -------------- ************************************* p = 547; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 218997600277201518.7 -------------- Searches starting with [547,563]-exponents: u = 1, v = 218 n_start has 603 digits --- performed 5000 steps in the continued fraction search [547,563]-exponents: u = 44, v = 151 --- starting right neighbors generation We generated 5199 left neighbors We generated 4811 right neighbors We generated 10009 non-negative rho_i D1(547,563) = 0.6429260860332087066 D2(547,563) = 0.003025041612466647327 C1(547,563) = 0.8624056866668848645 C2(547,563) = 1.184783227100554451 C3(547,563) = 4.893507131128013323 C4(547,563) = 4504 Sum = 4933.084428397599728 Averaged sum = 0.4928648644617444028 logp*logq = 39.92783716702880149 -------------- ************************************* p = 547; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 234133861789838355.2 -------------- Searches starting with [547,569]-exponents: u = 1, v = 159 n_start has 441 digits starting right neighbors generation We generated 2744 left neighbors We generated 7266 right neighbors We generated 10009 non-negative rho_i D1(547,569) = 0.7766852807559408004 D2(547,569) = 0.008166503435299979376 C1(547,569) = 1.058118517686501789 C2(547,569) = 1.245010453865685466 C3(547,569) = 7.016514509776338417 C4(547,569) = 4552 Sum = 4868.145842837961770 Averaged sum = 0.4863768451231853102 logp*logq = 39.99466940563598521 -------------- ************************************* p = 547; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 239370822099258361.0 -------------- Searches starting with [547,571]-exponents: u = 1, v = 146 n_start has 406 digits starting right neighbors generation We generated 2379 left neighbors We generated 7631 right neighbors We generated 10009 non-negative rho_i D1(547,571) = 0.7093519046565077388 D2(547,571) = 0.004161557479063171995 C1(547,571) = 0.9707172529839520478 C2(547,571) = 1.257549748132718144 C3(547,571) = 5.973532870812914827 C4(547,571) = 4568 Sum = 4794.847878666966786 Averaged sum = 0.4790536395910647204 logp*logq = 40.01679030132203940 -------------- ************************************* p = 547; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 255676933286683599.6 -------------- Searches starting with [547,577]-exponents: u = 1, v = 118 n_start has 329 digits starting right neighbors generation We generated 1588 left neighbors We generated 8422 right neighbors We generated 10009 non-negative rho_i D1(547,577) = 0.8329518749551990583 D2(547,577) = 0.01524213235980431701 C1(547,577) = 1.153864062903130861 C2(547,577) = 1.310669401246066693 C3(547,577) = 8.369202523741015050 C4(547,577) = 4616 Sum = 4281.563204673790697 Averaged sum = 0.4277713262737327102 logp*logq = 40.08269106307484295 -------------- ************************************* p = 547; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 284929333207442663.3 -------------- Searches starting with [547,587]-exponents: u = 1, v = 89 n_start has 250 digits starting right neighbors generation We generated 945 left neighbors We generated 9065 right neighbors We generated 10009 non-negative rho_i D1(547,587) = 0.5918146457186288512 D2(547,587) = 0.01135838732304469701 C1(547,587) = 0.8339786418833528572 C2(547,587) = 1.367454649467502002 C3(547,587) = 4.643961610649219202 C4(547,587) = 4696 Sum = 3912.783264111698129 Averaged sum = 0.3909264925678587401 logp*logq = 40.19101759077564916 -------------- ************************************* p = 547; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 303795502857701714.8 -------------- Searches starting with [547,593]-exponents: u = 1, v = 78 n_start has 220 digits starting right neighbors generation We generated 754 left neighbors We generated 9256 right neighbors We generated 10009 non-negative rho_i D1(547,593) = 0.8155752508134373125 D2(547,593) = 0.01368687258924911838 C1(547,593) = 1.159254096340378922 C2(547,593) = 1.400768822228171078 C3(547,593) = 8.452675605714756332 C4(547,593) = 4744 Sum = 3750.971831774403811 Averaged sum = 0.3747598992680990919 logp*logq = 40.25513118199275226 -------------- ************************************* p = 547; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 323701866968228754.1 -------------- Searches starting with [547,599]-exponents: u = 1, v = 69 n_start has 195 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(547,599) = 0.6267850839318398217 D2(547,599) = 0.006444427264773880612 C1(547,599) = 0.8599892675679291782 C2(547,599) = 1.422981251835321609 C3(547,599) = 4.871783082339850803 C4(547,599) = 4792 Sum = 4001.899420186636701 Averaged sum = 0.3998300949332237687 logp*logq = 40.31859932341423031 -------------- ************************************* p = 547; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 330576393330371038.9 -------------- Searches starting with [547,601]-exponents: u = 1, v = 66 n_start has 187 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(547,601) = 0.9403930518775369102 D2(547,601) = 0.01283793734856404279 C1(547,601) = 1.350749908798400016 C2(547,601) = 1.437616729499724399 C3(547,601) = 12.02605753935687594 C4(547,601) = 4808 Sum = 5413.535359560572666 Averaged sum = 0.5408667558757690744 logp*logq = 40.33961417221384466 -------------- ************************************* p = 547; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 351941605077955361.8 -------------- Searches starting with [547,607]-exponents: u = 1, v = 60 n_start has 170 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(547,607) = 0.6278865085476570041 D2(547,607) = 0.003098817618619840669 C1(547,607) = 0.8681317161632942948 C2(547,607) = 1.454874266065073905 C3(547,607) = 4.945372716839790453 C4(547,607) = 4856 Sum = 4356.762912996357222 Averaged sum = 0.4352845352179395766 logp*logq = 40.40224166208184084 -------------- ************************************* p = 547; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 374456911011913734.5 -------------- Searches starting with [547,613]-exponents: u = 1, v = 55 n_start has 157 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(547,613) = 0.8207923981637221117 D2(547,613) = 0.03063770630448930120 C1(547,613) = 1.115396549374681489 C2(547,613) = 1.503091700531066795 C3(547,613) = 7.796930101653159586 C4(547,613) = 4904 Sum = 4053.569453681353935 Averaged sum = 0.4049924521611903222 logp*logq = 40.46425313387028408 -------------- ************************************* p = 547; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 390130550728927769.1 -------------- Searches starting with [547,617]-exponents: u = 1, v = 52 n_start has 148 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(547,617) = 0.7093881374120172853 D2(547,617) = 0.01740092327237712951 C1(547,617) = 0.9667520758163182955 C2(547,617) = 1.506687834767463629 C3(547,617) = 5.930079495640213472 C4(547,617) = 4936 Sum = 4072.762329568992307 Averaged sum = 0.4069100139443493163 logp*logq = 40.50525782347840554 -------------- ************************************* p = 547; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 398172048009299884.5 -------------- Searches starting with [547,619]-exponents: u = 1, v = 50 n_start has 143 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(547,619) = 1.070025537022366336 D2(547,619) = 0.02815824202485747229 C1(547,619) = 1.568650929895200063 C2(547,619) = 1.523511814663473775 C3(547,619) = 17.96251740146073072 C4(547,619) = 4952 Sum = 5808.677720443246209 Averaged sum = 0.5803454611293082434 logp*logq = 40.52566058821882484 -------------- ************************************* p = 547; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 449408974285949297.7 -------------- Searches starting with [547,631]-exponents: u = 1, v = 44 n_start has 126 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(547,631) = 0.7025342816629206063 D2(547,631) = 0.03922475545884193278 C1(547,631) = 1.042351008071768519 C2(547,631) = 1.574872339643358122 C3(547,631) = 6.815739512101767431 C4(547,631) = 5048 Sum = 2860.814693731333378 Averaged sum = 0.2858242275683218481 logp*logq = 40.64670972394616987 -------------- ************************************* p = 547; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 496241113626315181.2 -------------- Searches starting with [547,641]-exponents: u = 1, v = 39 n_start has 113 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(547,641) = 0.8163710073791567880 D2(547,641) = 0.03775873490196136255 C1(547,641) = 1.111467661171843014 C2(547,641) = 1.605294735674251858 C3(547,641) = 7.740729953018271120 C4(547,641) = 5128 Sum = 3990.785708419495348 Averaged sum = 0.3987197230911674841 logp*logq = 40.74583831970150581 -------------- ************************************* p = 547; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 506083648110589909.7 -------------- Searches starting with [547,643]-exponents: u = 1, v = 38 n_start has 110 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(547,643) = 1.153843465199039292 D2(547,643) = 0.01817392639784013056 C1(547,643) = 1.729769217944307232 C2(547,643) = 1.594289668295242906 C3(547,643) = 24.16601146829003296 C4(547,643) = 5144 Sum = 5896.280363572083583 Averaged sum = 0.5890978482937439887 logp*logq = 40.76547836300707146 -------------- ************************************* p = 547; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 526262138264253777.2 -------------- Searches starting with [547,647]-exponents: u = 1, v = 37 n_start has 107 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(547,647) = 0.6614215730134222618 D2(547,647) = 0.03798816904392691224 C1(547,647) = 0.9417876572842209765 C2(547,647) = 1.623443792891424454 C3(547,647) = 5.663668032458297781 C4(547,647) = 5176 Sum = 4296.290839426850369 Averaged sum = 0.4292427654537766379 logp*logq = 40.80457584522655025 -------------- ************************************* p = 547; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 557796820754567638.9 -------------- Searches starting with [547,653]-exponents: u = 1, v = 35 n_start has 102 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(547,653) = 0.5547131722356111637 D2(547,653) = 0.02193784849470741073 C1(547,653) = 0.7927729132267326796 C2(547,653) = 1.626717694362180410 C3(547,653) = 4.304657263218254320 C4(547,653) = 5224 Sum = 4120.253436685163270 Averaged sum = 0.4116548542996466450 logp*logq = 40.86277117047249866 -------------- ************************************* p = 547; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 590906512158169942.0 -------------- Searches starting with [547,659]-exponents: u = 1, v = 33 n_start has 96 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(547,659) = 0.6540607602947122103 D2(547,659) = 0.06756071169706599397 C1(547,659) = 0.9927879340394196993 C2(547,659) = 1.683243492569344974 C3(547,659) = 6.221283816815310038 C4(547,659) = 5272 Sum = 3953.884035556931584 Averaged sum = 0.3950328739691209495 logp*logq = 40.92043421394650065 -------------- ************************************* p = 547; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 602303953459428218.8 -------------- Searches starting with [547,661]-exponents: u = 1, v = 33 n_start has 96 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(547,661) = 0.6264280752656952590 D2(547,661) = 0.02667655620324883977 C1(547,661) = 0.8752914217505342953 C2(547,661) = 1.652839937326358427 C3(547,661) = 5.010998428163271624 C4(547,661) = 5288 Sum = 4016.927615745044124 Averaged sum = 0.4013315631676535242 logp*logq = 40.93953861887610554 -------------- ************************************* p = 547; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 674646365243965023.0 -------------- Searches starting with [547,673]-exponents: u = 1, v = 30 n_start has 88 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(547,673) = 0.6267612599302995618 D2(547,673) = 0.08305736137947397360 C1(547,673) = 0.8549999029739751559 C2(547,673) = 1.733364137996502970 C3(547,673) = 4.827232445884404238 C4(547,673) = 5384 Sum = 3898.131927700009127 Averaged sum = 0.3894626763612757645 logp*logq = 41.05296504515563344 -------------- ************************************* p = 547; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 700327761506555684.7 -------------- Searches starting with [547,677]-exponents: u = 1, v = 29 n_start has 85 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(547,677) = 0.5937340583999584448 D2(547,677) = 0.06117982711879739933 C1(547,677) = 0.8596716812409962013 C2(547,677) = 1.723950460544648146 C3(547,677) = 4.868935103000177551 C4(547,677) = 5416 Sum = 4005.787948814856514 Averaged sum = 0.4002185981431568102 logp*logq = 41.09032485109194192 -------------- ************************************* p = 547; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 740389431475707897.9 -------------- Searches starting with [547,683]-exponents: u = 1, v = 28 n_start has 83 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(547,683) = 0.7008250932407918151 D2(547,683) = 0.06917895811577739432 C1(547,683) = 0.9593994884207538844 C2(547,683) = 1.745453296273829247 C3(547,683) = 5.850339105366006224 C4(547,683) = 5464 Sum = 4138.677320066078742 Averaged sum = 0.4134955859792265703 logp*logq = 41.14595270143428382 -------------- ************************************* p = 547; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 796790184152559300.0 -------------- Searches starting with [547,691]-exponents: u = 1, v = 26 n_start has 77 digits starting right neighbors generation We generated 80 left neighbors We generated 9930 right neighbors We generated 10009 non-negative rho_i D1(547,691) = 1.015723560795502842 D2(547,691) = 0.1043542478325404243 C1(547,691) = 1.576975618123713222 C2(547,691) = 1.795227031704298900 C3(547,691) = 18.23996559704962602 C4(547,691) = 5528 Sum = 4871.920041249707360 Averaged sum = 0.4867539255919379918 logp*logq = 41.21936778201954973 -------------- ************************************* p = 547; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 872335507629568913.9 -------------- Searches starting with [547,701]-exponents: u = 1, v = 25 n_start has 74 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(547,701) = 0.5900766514285514182 D2(547,701) = 0.03945667065694077675 C1(547,701) = 0.8125896539076777724 C2(547,701) = 1.760565480033046828 C3(547,701) = 4.464624912697514316 C4(547,701) = 5608 Sum = 3937.774592562916072 Averaged sum = 0.3934233782158972997 logp*logq = 41.30995050127580801 -------------- ************************************* p = 547; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 937029456339126570.8 -------------- Searches starting with [547,709]-exponents: u = 1, v = 24 n_start has 72 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(547,709) = 0.6068871848572185157 D2(547,709) = 0.04050536272250659676 C1(547,709) = 0.8649114743881993796 C2(547,709) = 1.778682821858986842 C3(547,709) = 4.916136936971371645 C4(547,709) = 5672 Sum = 3879.824648111794965 Averaged sum = 0.3876335945760610416 logp*logq = 41.38149111351637410 -------------- ************************************* p = 547; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.023531073082425637 E18 -------------- Searches starting with [547,719]-exponents: u = 1, v = 23 n_start has 69 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(547,719) = 0.8227753320344856057 D2(547,719) = 0.05687688277800286141 C1(547,719) = 1.299479002844743405 C2(547,719) = 1.813552036994390140 C3(547,719) = 10.94270383119102344 C4(547,719) = 5752 Sum = 2042.968964967093005 Averaged sum = 0.2041131946215499056 logp*logq = 41.46979015918228011 -------------- ************************************* p = 547; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.097481453144967759 E18 -------------- Searches starting with [547,727]-exponents: u = 1, v = 22 n_start has 66 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(547,727) = 0.6972349236982908602 D2(547,727) = 0.03342488220881779813 C1(547,727) = 0.9574020024261075591 C2(547,727) = 1.809321236274696763 C3(547,727) = 5.828861767307891258 C4(547,727) = 5816 Sum = 3899.246531287557517 Averaged sum = 0.3895740364959094332 logp*logq = 41.53954964053267922 -------------- ************************************* p = 547; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.155849585887163541 E18 -------------- Searches starting with [547,733]-exponents: u = 1, v = 21 n_start has 63 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(547,733) = 0.6664110897896690136 D2(547,733) = 0.1154511964182099185 C1(547,733) = 0.9887562338796873478 C2(547,733) = 1.892577547263979867 C3(547,733) = 6.175271792977376084 C4(547,733) = 5864 Sum = 3782.212102707303470 Averaged sum = 0.3778811172651916745 logp*logq = 41.59136731966262064 -------------- ************************************* p = 547; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.216807825882305213 E18 -------------- Searches starting with [547,739]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(547,739) = 0.8732429888339832320 D2(547,739) = 0.04593122235239450141 C1(547,739) = 1.393411675644064421 C2(547,739) = 1.843154005406925865 C3(547,739) = 13.00881197262705505 C4(547,739) = 5912 Sum = 3951.748066037285938 Averaged sum = 0.3948194690815551941 logp*logq = 41.64276256736229296 -------------- ************************************* p = 547; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.258931176558230402 E18 -------------- Searches starting with [547,743]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(547,743) = 0.5889716368534780331 D2(547,743) = 0.09711535954146660597 C1(547,743) = 0.8205856687114564660 C2(547,743) = 1.895151272017318364 C3(547,743) = 4.530842530467217024 C4(547,743) = 5944 Sum = 4017.984689584617976 Averaged sum = 0.4014371755005113374 logp*logq = 41.67679476229660468 -------------- ************************************* p = 547; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.346867138868127547 E18 -------------- Searches starting with [547,751]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(547,751) = 0.7551125561677635379 D2(547,751) = 0.04133046912217124006 C1(547,751) = 1.020628006692160280 C2(547,751) = 1.861332689250129323 C3(547,751) = 6.548506281199037814 C4(547,751) = 6008 Sum = 3892.853106880309305 Averaged sum = 0.3889352689459795489 logp*logq = 41.74431293161453721 -------------- ************************************* p = 547; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.416160802711948640 E18 -------------- Searches starting with [547,757]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(547,757) = 0.8030317661190429184 D2(547,757) = 0.1147340117200545375 C1(547,757) = 1.122728660755169917 C2(547,757) = 1.935943212504889775 C3(547,757) = 7.902904658888547889 C4(547,757) = 6056 Sum = 4247.603725243354497 Averaged sum = 0.4243784319355934156 logp*logq = 41.79448122395401302 -------------- ************************************* p = 547; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.464003276506071724 E18 -------------- Searches starting with [547,761]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(547,761) = 0.7153826794572969638 D2(547,761) = 0.0007776964628289199023 C1(547,761) = 1.155111642736240681 C2(547,761) = 1.844824677515330211 C3(547,761) = 8.388449627955846094 C4(547,761) = 6088 Sum = 3645.817893679784268 Averaged sum = 0.3642539608032554968 logp*logq = 41.82770632748003314 -------------- ************************************* p = 547; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.563777128159633211 E18 -------------- Searches starting with [547,769]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(547,769) = 0.9570987994817936549 D2(547,769) = 0.08434635274120404854 C1(547,769) = 1.438126196103128202 C2(547,769) = 1.929991205180640546 C3(547,769) = 14.12516319421448094 C4(547,769) = 6152 Sum = 4265.360950043199540 Averaged sum = 0.4261525577023878050 logp*logq = 41.89363580468497919 -------------- ************************************* p = 547; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.615770786087359749 E18 -------------- Searches starting with [547,773]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(547,773) = 0.5769258808719573199 D2(547,773) = 0.1342433103282103162 C1(547,773) = 0.8214736616919526213 C2(547,773) = 1.980680839679383110 C3(547,773) = 4.538256617118581470 C4(547,773) = 6184 Sum = 3751.907081951642918 Averaged sum = 0.3748533401889941970 logp*logq = 41.92634378363896495 -------------- ************************************* p = 547; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.809357701262561531 E18 -------------- Searches starting with [547,787]-exponents: u = 1, v = 17 n_start has 52 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(547,787) = 0.9827632111498269232 D2(547,787) = 0.1014973643786582350 C1(547,787) = 1.434314935610448796 C2(547,787) = 1.974682956932663230 C3(547,787) = 14.02638678511180355 C4(547,787) = 6296 Sum = 4235.434834692809550 Averaged sum = 0.4231626370958946498 logp*logq = 42.03950359501152317 -------------- ************************************* p = 547; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.959275192219232310 E18 -------------- Searches starting with [547,797]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(547,797) = 1.076625203915777649 D2(547,797) = 0.01537276868943021465 C1(547,797) = 1.541671180143606859 C2(547,797) = 1.916769158273850330 C3(547,797) = 17.09200151438603711 C4(547,797) = 6376 Sum = 5202.265491385174831 Averaged sum = 0.5197587662488934789 logp*logq = 42.11910627885426113 -------------- ************************************* p = 547; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.152844067372369609 E18 -------------- Searches starting with [547,809]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(547,809) = 0.7501413653716217864 D2(547,809) = 0.1055990606869531860 C1(547,809) = 1.024355172066282816 C2(547,809) = 1.364465706936246388 C3(547,809) = 6.593601036986664567 C4(547,809) = 6472 Sum = 3906.508221294130761 Averaged sum = 0.3902995525321341553 logp*logq = 42.21332146390780660 -------------- ************************************* p = 547; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.186618612764467979 E18 -------------- Searches starting with [547,811]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(547,811) = 1.219372651618441458 D2(547,811) = 0.08836170297872756177 C1(547,811) = 2.011830219615459855 C2(547,811) = 1.153033890089258735 C3(547,811) = 40.62133999024551665 C4(547,811) = 6488 Sum = 1410.453050595194034 Averaged sum = 0.1409184784289333634 logp*logq = 42.22888801206932939 -------------- ************************************* p = 547; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.362257446860694892 E18 -------------- Searches starting with [547,821]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(547,821) = 0.7254927421126310759 D2(547,821) = 0.03375735926255952592 C1(547,821) = 1.107546929072939325 C2(547,821) = 1.968707587932009839 C3(547,821) = 7.685050303322238858 C4(547,821) = 6568 Sum = 3457.520739842168543 Averaged sum = 0.3454411769249843683 logp*logq = 42.30614938101239061 -------------- ************************************* p = 547; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.398772159364265573 E18 -------------- Searches starting with [547,823]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(547,823) = 0.6663235334467861623 D2(547,823) = 0.05032804837389789798 C1(547,823) = 0.9248891500373850193 C2(547,823) = 1.985659437114668568 C3(547,823) = 5.490159316193622701 C4(547,823) = 6584 Sum = 3981.777404479968863 Averaged sum = 0.3978197027155528887 logp*logq = 42.32148868006976572 -------------- ************************************* p = 547; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.473227778771811872 E18 -------------- Searches starting with [547,827]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(547,827) = 0.9607320641484071883 D2(547,827) = 0.08559878463461658651 C1(547,827) = 1.384496395384072377 C2(547,827) = 2.021689708073680298 C3(547,827) = 12.79701144337716947 C4(547,827) = 6616 Sum = 4995.991094273702474 Averaged sum = 0.4991498745402839918 logp*logq = 42.35205576444687340 -------------- ************************************* p = 547; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.511178676527891296 E18 -------------- Searches starting with [547,829]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(547,829) = 0.7424294885126116517 D2(547,829) = 0.1011499519979422883 C1(547,829) = 1.041246707273772293 C2(547,829) = 1.444590396477558848 C3(547,829) = 6.801895148826470655 C4(547,829) = 6632 Sum = 3922.662912093197011 Averaged sum = 0.3919135689972222011 logp*logq = 42.36728390905477116 -------------- ************************************* p = 547; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.708367492671325837 E18 -------------- Searches starting with [547,839]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(547,839) = 0.6507098615079116321 D2(547,839) = 0.1206067577526574984 C1(547,839) = 0.9398926225580958459 C2(547,839) = 1.813697841531726893 C3(547,839) = 5.643940554320991629 C4(547,839) = 6712 Sum = 4183.603263920141764 Averaged sum = 0.4179841406654153026 logp*logq = 42.44287772603961803 -------------- ************************************* p = 547; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.006201654637036608 E18 -------------- Searches starting with [547,853]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(547,853) = 0.6035887934496909634 D2(547,853) = 0.08092264361300531338 C1(547,853) = 0.8602107381614734824 C2(547,853) = 2.054010089034763519 C3(547,853) = 4.873770122441889179 C4(547,853) = 6824 Sum = 3667.259268696156491 Averaged sum = 0.3663961703163309512 logp*logq = 42.54720904701782821 -------------- ************************************* p = 547; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.096188764275689917 E18 -------------- Searches starting with [547,857]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(547,857) = 0.8738448449975277530 D2(547,857) = 0.07312989240827671330 C1(547,857) = 1.468031965920615057 C2(547,857) = 1.210608761428320627 C3(547,857) = 14.92476621234574827 C4(547,857) = 6856 Sum = 3073.886246450916150 Averaged sum = 0.3071122236438121840 logp*logq = 42.57670359813497019 -------------- ************************************* p = 547; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.142025374633757363 E18 -------------- Searches starting with [547,859]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(547,859) = 0.9362589237454743844 D2(547,859) = 0.07700834922938220167 C1(547,859) = 1.572839417197152983 C2(547,859) = 1.209913634640375971 C3(547,859) = 18.10158123731273179 C4(547,859) = 6872 Sum = 3415.544963835743657 Averaged sum = 0.3412473737472018840 logp*logq = 42.59139928964327776 -------------- ************************************* p = 547; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.235413139861602252 E18 -------------- Searches starting with [547,863]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(547,863) = 0.6290839648861772056 D2(547,863) = 0.1069147573724870811 C1(547,863) = 0.8871365764449843481 C2(547,863) = 1.829349121319289809 C3(547,863) = 5.121488600312803094 C4(547,863) = 6904 Sum = 4190.867182856279806 Averaged sum = 0.4187098793941732247 logp*logq = 42.62068830307688534 -------------- ************************************* p = 547; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.580884076870137752 E18 -------------- Searches starting with [547,877]-exponents: u = 1, v = 13 n_start has 41 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(547,877) = 0.6171726911015954986 D2(547,877) = 0.02496520047794770211 C1(547,877) = 0.9193122149491453861 C2(547,877) = 2.038427392836736636 C3(547,877) = 5.434071733585297640 C4(547,877) = 7016 Sum = 3719.591976857546600 Averaged sum = 0.3716247354238731741 logp*logq = 42.72214139266499110 -------------- ************************************* p = 547; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.685104764025950294 E18 -------------- Searches starting with [547,881]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(547,881) = 0.5580463648778932365 D2(547,881) = 0.05207996517382455308 C1(547,881) = 0.7698158917291942290 C2(547,881) = 2.066269358364802532 C3(547,881) = 4.126492522440013445 C4(547,881) = 7048 Sum = 3841.525023320541853 Averaged sum = 0.3838070759636868671 logp*logq = 42.75083062898778990 -------------- ************************************* p = 547; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.738164679199955526 E18 -------------- Searches starting with [547,883]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(547,883) = 0.8580608406780061312 D2(547,883) = 0.06628562806692854225 C1(547,883) = 1.213683910816162971 C2(547,883) = 2.080837378622026241 C3(547,883) = 9.343699151564633593 C4(547,883) = 7064 Sum = 3958.818168231686365 Averaged sum = 0.3955258435639610716 logp*logq = 42.76512643738648113 -------------- ************************************* p = 547; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.846214800053190121 E18 -------------- Searches starting with [547,887]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(547,887) = 0.8676276269412032440 D2(547,887) = 0.06211548261734328425 C1(547,887) = 1.473019333682220973 C2(547,887) = 1.220458474919060469 C3(547,887) = 15.06245183439234702 C4(547,887) = 7096 Sum = 3324.030271618983985 Averaged sum = 0.3321041334418007778 logp*logq = 42.79362116974768262 -------------- ************************************* p = 547; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.426736983401835886 E18 -------------- Searches starting with [547,907]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(547,907) = 0.8677067749501693819 D2(547,907) = 0.07639967169462305338 C1(547,907) = 1.168684509645721175 C2(547,907) = 1.699848428798013264 C3(547,907) = 8.600727835841151094 C4(547,907) = 7256 Sum = 3633.153774718245468 Averaged sum = 0.3629886876529369035 logp*logq = 42.93419441395146984 -------------- ************************************* p = 547; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.551264624479724760 E18 -------------- Searches starting with [547,911]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(547,911) = 0.5790730189724785344 D2(547,911) = 0.07437895691649269079 C1(547,911) = 0.8681220693965151031 C2(547,911) = 1.698571228663427181 C3(547,911) = 4.945284877104566302 C4(547,911) = 7288 Sum = 3815.841870778158841 Averaged sum = 0.3812410701147126427 logp*logq = 42.96193680768376235 -------------- ************************************* p = 547; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.809178833104920317 E18 -------------- Searches starting with [547,919]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(547,919) = 0.5689719567137662344 D2(547,919) = 0.04677874123233713818 C1(547,919) = 0.9775624076000872742 C2(547,919) = 2.108436952112895006 C3(547,919) = 6.049297816475725914 C4(547,919) = 7352 Sum = 4091.636064315676588 Averaged sum = 0.4087956903102883992 logp*logq = 43.01705802266783515 -------------- ************************************* p = 547; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.148765515140609924 E18 -------------- Searches starting with [547,929]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(547,929) = 0.6674456126706242605 D2(547,929) = 0.07212084230982747807 C1(547,929) = 1.146573175406080724 C2(547,929) = 1.386361675305190562 C3(547,929) = 8.257601871189883829 C4(547,929) = 7432 Sum = 3948.287888482058746 Averaged sum = 0.3944737624619900835 logp*logq = 43.08528865403650059 -------------- ************************************* p = 547; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.434756678295330541 E18 -------------- Searches starting with [547,937]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(547,937) = 0.8686106920887505612 D2(547,937) = 0.06806375552024805856 C1(547,937) = 1.224918069216000794 C2(547,937) = 1.863126182322123733 C3(547,937) = 9.538985947804836789 C4(547,937) = 7496 Sum = 4360.692277401048490 Averaged sum = 0.4356771183336046049 logp*logq = 43.13934642406093239 -------------- ************************************* p = 547; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.582690355249113259 E18 -------------- Searches starting with [547,941]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(547,941) = 0.6355441866473536075 D2(547,941) = 0.06600682971021585805 C1(547,941) = 0.8891018678402279130 C2(547,941) = 1.861819500050609262 C3(547,941) = 5.140054809403853740 C4(547,941) = 7528 Sum = 4097.250061998009936 Averaged sum = 0.4093565852730552438 logp*logq = 43.16620247661044674 -------------- ************************************* p = 547; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.810935577814515540 E18 -------------- Searches starting with [547,947]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(547,947) = 0.8330528107457918635 D2(547,947) = 0.05803636588293284710 C1(547,947) = 1.309574176930942345 C2(547,947) = 1.714425768929150180 C3(547,947) = 11.14800672242098149 C4(547,947) = 7576 Sum = 3140.296999504119055 Averaged sum = 0.3137473273557916930 logp*logq = 43.20627326067662076 -------------- ************************************* p = 547; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.046981914869942335 E18 -------------- Searches starting with [547,953]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(547,953) = 0.6708034629823069877 D2(547,953) = 0.05527264088521604011 C1(547,953) = 0.9104795170210743845 C2(547,953) = 1.712744894022297720 C3(547,953) = 5.346410802735980370 C4(547,953) = 7624 Sum = 3681.434123071052047 Averaged sum = 0.3678123811640575529 logp*logq = 43.24609096441870850 -------------- ************************************* p = 547; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.629310477277262376 E18 -------------- Searches starting with [547,967]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(547,967) = 0.7565831279262767179 D2(547,967) = 0.03724702772283391112 C1(547,967) = 1.317303860775653047 C2(547,967) = 1.299563218212059554 C3(547,967) = 11.30780319763196561 C4(547,967) = 7736 Sum = 3857.611671037741372 Averaged sum = 0.3854142942389590741 logp*logq = 43.33803247227150643 -------------- ************************************* p = 547; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.804100136975414051 E18 -------------- Searches starting with [547,971]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(547,971) = 1.109260850348741991 D2(547,971) = 0.03406838447108562225 C1(547,971) = 1.931196229628883239 C2(547,971) = 1.149450835778627876 C3(547,971) = 35.01672354706895423 C4(547,971) = 7768 Sum = 3438.989582007741455 Averaged sum = 0.3435897274460726800 logp*logq = 43.36405706568665882 -------------- ************************************* p = 547; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.073546317087016177 E18 -------------- Searches starting with [547,977]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(547,977) = 0.5869462945965559335 D2(547,977) = 0.04934102381506560100 C1(547,977) = 1.021859259490810795 C2(547,977) = 1.887132056600740870 C3(547,977) = 6.563368919993781354 C4(547,977) = 7816 Sum = 4108.701731171255051 Averaged sum = 0.4105007224669052903 logp*logq = 43.40289362876123648 -------------- ************************************* p = 547; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.351914397659697463 E18 -------------- Searches starting with [547,983]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(547,983) = 0.7632535293625667155 D2(547,983) = 0.04649604514786619916 C1(547,983) = 1.128268284810666931 C2(547,983) = 1.885384136637381836 C3(547,983) = 7.983925707045987508 C4(547,983) = 7864 Sum = 3448.133861866966537 Averaged sum = 0.3445033331868285080 logp*logq = 43.44149241546978578 -------------- ************************************* p = 547; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.737362833170132031 E18 -------------- Searches starting with [547,991]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(547,991) = 0.6151535287766058900 D2(547,991) = 0.04276374664080610562 C1(547,991) = 0.8941070320625949812 C2(547,991) = 1.883104024237262056 C3(547,991) = 5.187643402799665530 C4(547,991) = 7928 Sum = 3932.337472946046011 Averaged sum = 0.3928801551549651325 logp*logq = 43.49259258420780854 -------------- ************************************* p = 547; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.037483597501505554 E18 -------------- Searches starting with [547,997]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(547,997) = 1.199164649744241849 D2(547,997) = 0.04000891018416495958 C1(547,997) = 1.903353789022344745 C2(547,997) = 1.881430515562506549 C3(547,997) = 33.26682702061479952 C4(547,997) = 7976 Sum = 3962.693622456029271 Averaged sum = 0.3959130405091446968 logp*logq = 43.53064772270816430 -------------- ************************************* p = 557; q = 563; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 245622851793135627.5 -------------- Searches starting with [557,563]-exponents: u = 1, v = 590 n_start has 1626 digits --- performed 5000 steps in the continued fraction search [557,563]-exponents: u = 308, v = 275 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(557,563) = 0.8307604000204242384 D2(557,563) = 0.2036761293694988148 C1(557,563) = 1.070821552327170169 C2(557,563) = 1.229811999606892185 C3(557,563) = 7.204665589293434416 C4(557,563) = 4504 Sum = 5512.448237136055322 Averaged sum = 0.5512999537089764298 logp*logq = 40.04257363161560165 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(557,563) = 0.8307604000204242384 D2(557,563) = 0.2036761293694988148 C1(557,563) = 1.070821552327170169 C2(557,563) = 1.229811999606892185 C3(557,563) = 7.204665589293434416 C4(557,563) = 4504 Sum = 5512.448237136055322 Averaged sum = 0.5512999537089764298 logp*logq = 40.04257363161560165 -------------- ************************************* p = 557; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 262649783773815944.6 -------------- Searches starting with [557,569]-exponents: u = 1, v = 296 n_start has 819 digits --- performed 5000 steps in the continued fraction search [557,569]-exponents: u = 104, v = 176 --- starting right neighbors generation We generated 9305 left neighbors We generated 705 right neighbors We generated 10009 non-negative rho_i D1(557,569) = 0.6389385455134349469 D2(557,569) = 0.005195626384582874274 C1(557,569) = 0.8457602449755913646 C2(557,569) = 1.139310604888146486 C3(557,569) = 4.757334950775323359 C4(557,569) = 4552 Sum = 5119.081950639024728 Averaged sum = 0.5114478919611374490 logp*logq = 40.10959791906194818 -------------- ************************************* p = 557; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 268541640168205834.5 -------------- Searches starting with [557,571]-exponents: u = 1, v = 254 n_start has 703 digits --- performed 5000 steps in the continued fraction search [557,571]-exponents: u = 110, v = 125 --- starting right neighbors generation We generated 7017 left neighbors We generated 2993 right neighbors We generated 10009 non-negative rho_i D1(557,571) = 0.6607963143437976715 D2(557,571) = 0.001550659401310094163 C1(557,571) = 0.8805532161592831727 C2(557,571) = 1.160197458421743254 C3(557,571) = 5.072583306646937977 C4(557,571) = 4568 Sum = 5019.924299929008025 Averaged sum = 0.5015410430541520656 logp*logq = 40.13178238126060594 -------------- ************************************* p = 557; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 286889211978619901.5 -------------- Searches starting with [557,577]-exponents: u = 1, v = 179 n_start has 497 digits starting right neighbors generation We generated 3590 left neighbors We generated 6420 right neighbors We generated 10009 non-negative rho_i D1(557,577) = 0.6859584649633157214 D2(557,577) = 0.004337695749262226832 C1(557,577) = 0.9295566520013459545 C2(557,577) = 1.222742156329039266 C3(557,577) = 5.552335654005498280 C4(557,577) = 4616 Sum = 4704.921974204730007 Averaged sum = 0.4700691351987940860 logp*logq = 40.19787251516460975 -------------- ************************************* p = 557; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 319812195552340363.9 -------------- Searches starting with [557,587]-exponents: u = 1, v = 120 n_start has 335 digits starting right neighbors generation We generated 1616 left neighbors We generated 8394 right neighbors We generated 10009 non-negative rho_i D1(557,587) = 0.5527218778378148282 D2(557,587) = 0.01129298509788754740 C1(557,587) = 0.7648958532505212900 C2(557,587) = 1.305109115697227981 C3(557,587) = 4.098264450342334586 C4(557,587) = 4696 Sum = 4622.298264863430490 Averaged sum = 0.4618141937120022469 logp*logq = 40.30651032951881922 -------------- ************************************* p = 557; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 341050910014694351.7 -------------- Searches starting with [557,593]-exponents: u = 1, v = 100 n_start has 281 digits starting right neighbors generation We generated 1157 left neighbors We generated 8853 right neighbors We generated 10009 non-negative rho_i D1(557,593) = 0.8987961188668047010 D2(557,593) = 0.002276565262164485397 C1(557,593) = 1.257174962587311329 C2(557,593) = 1.334494627510191749 C3(557,593) = 10.15928230884693588 C4(557,593) = 4744 Sum = 5094.934923072158040 Averaged sum = 0.5090353604827813008 logp*logq = 40.37080815728140413 -------------- ************************************* p = 557; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 363464738067365678.8 -------------- Searches starting with [557,599]-exponents: u = 1, v = 86 n_start has 242 digits starting right neighbors generation We generated 834 left neighbors We generated 9176 right neighbors We generated 10009 non-negative rho_i D1(557,599) = 0.9815257647183918762 D2(557,599) = 0.01344758602960333727 C1(557,599) = 1.385796493887625308 C2(557,599) = 1.377636259088472563 C3(557,599) = 12.87879273479343030 C4(557,599) = 4792 Sum = 5385.271057974759503 Averaged sum = 0.5380428672169806677 logp*logq = 40.43445868048655186 -------------- ************************************* p = 557; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 371206132885051986.5 -------------- Searches starting with [557,601]-exponents: u = 1, v = 83 n_start has 234 digits starting right neighbors generation We generated 804 left neighbors We generated 9206 right neighbors We generated 10009 non-negative rho_i D1(557,601) = 0.7025500821162973539 D2(557,601) = 0.02451394135258170476 C1(557,601) = 0.9949559531101749117 C2(557,601) = 1.397794106649339961 C3(557,601) = 6.264026349253743276 C4(557,601) = 4808 Sum = 3818.650760545986307 Averaged sum = 0.3815217065187317721 logp*logq = 40.45553391746709891 -------------- ************************************* p = 557; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 395268380511138566.9 -------------- Searches starting with [557,607]-exponents: u = 1, v = 73 n_start has 206 digits starting right neighbors generation We generated 638 left neighbors We generated 9372 right neighbors We generated 10009 non-negative rho_i D1(557,607) = 0.6957880682212531342 D2(557,607) = 0.01494798834222557704 C1(557,607) = 0.9522101830933885636 C2(557,607) = 1.418548294640869761 C3(557,607) = 5.789202943497973337 C4(557,607) = 4856 Sum = 4402.739415259458041 Averaged sum = 0.4398780512797939895 logp*logq = 40.51834137342600405 -------------- ************************************* p = 557; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 420630445366040888.5 -------------- Searches starting with [557,613]-exponents: u = 1, v = 65 n_start has 184 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(557,613) = 1.396335210718413856 D2(557,613) = 0.007758232478447525532 C1(557,613) = 2.008750178700730085 C2(557,613) = 1.439160403083056103 C3(557,613) = 40.62511453042212617 C4(557,613) = 4904 Sum = 6912.411725852505501 Averaged sum = 0.6906196149318119193 logp*logq = 40.58053104111839937 -------------- ************************************* p = 557; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 438288411191898155.7 -------------- Searches starting with [557,617]-exponents: u = 1, v = 61 n_start has 173 digits starting right neighbors generation We generated 419 left neighbors We generated 9591 right neighbors We generated 10009 non-negative rho_i D1(557,617) = 0.6494611768020207503 D2(557,617) = 0.03571727003416965959 C1(557,617) = 0.9385388157359433934 C2(557,617) = 1.480670154154614073 C3(557,617) = 5.645071765618344497 C4(557,617) = 4936 Sum = 4518.275150119045676 Averaged sum = 0.4514212358995949321 logp*logq = 40.62165356162974341 -------------- ************************************* p = 557; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 447348780867619600.3 -------------- Searches starting with [557,619]-exponents: u = 1, v = 59 n_start has 168 digits starting right neighbors generation We generated 405 left neighbors We generated 9605 right neighbors We generated 10009 non-negative rho_i D1(557,619) = 0.7752663087350278722 D2(557,619) = 0.02473966668053045070 C1(557,619) = 1.123048323689544583 C2(557,619) = 1.479104738115865944 C3(557,619) = 7.933081202952015061 C4(557,619) = 4952 Sum = 4865.324297924545749 Averaged sum = 0.4860949443425462832 logp*logq = 40.64211495566892284 -------------- ************************************* p = 557; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 505089450236882968.4 -------------- Searches starting with [557,631]-exponents: u = 1, v = 50 n_start has 143 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(557,631) = 0.7174013975150983904 D2(557,631) = 0.04050407165090037227 C1(557,631) = 0.9797191162675921997 C2(557,631) = 1.538447222128066030 C3(557,631) = 6.090465606801624164 C4(557,631) = 5048 Sum = 4153.350364980890894 Averaged sum = 0.4149615710841133874 logp*logq = 40.76351193768247023 -------------- ************************************* p = 557; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 557882849966024656.5 -------------- Searches starting with [557,641]-exponents: u = 1, v = 45 n_start has 130 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(557,641) = 1.126580332398956083 D2(557,641) = 0.04992538620671116258 C1(557,641) = 1.669216188540859098 C2(557,641) = 1.580924646972666714 C3(557,641) = 21.72021370429193120 C4(557,641) = 5128 Sum = 2963.116172783805012 Averaged sum = 0.2960451766194230204 logp*logq = 40.86292538895274032 -------------- ************************************* p = 557; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 568980108544091380.4 -------------- Searches starting with [557,643]-exponents: u = 1, v = 44 n_start has 127 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(557,643) = 0.9347908381540235963 D2(557,643) = 0.04358695654905828107 C1(557,643) = 1.387649278498599772 C2(557,643) = 1.581819076152862522 C3(557,643) = 12.92287182287536332 C4(557,643) = 5144 Sum = 2894.229992748250702 Averaged sum = 0.2891627527973074935 logp*logq = 40.88262186980396580 -------------- ************************************* p = 557; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 591732874457681077.8 -------------- Searches starting with [557,647]-exponents: u = 1, v = 42 n_start has 121 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(557,647) = 0.6125722914312333501 D2(557,647) = 0.02337085855723367082 C1(557,647) = 0.9129272164597561902 C2(557,647) = 1.576793910268985196 C3(557,647) = 5.384647881306487684 C4(557,647) = 5176 Sum = 3556.124876909453175 Averaged sum = 0.3552927242391301004 logp*logq = 40.92183170238355407 -------------- ************************************* p = 557; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 627295588501571880.8 -------------- Searches starting with [557,653]-exponents: u = 1, v = 39 n_start has 113 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(557,653) = 0.7072165292915588540 D2(557,653) = 0.03668120812081905666 C1(557,653) = 0.9632552973303628982 C2(557,653) = 1.606795040609917441 C3(557,653) = 5.908329841336836746 C4(557,653) = 5224 Sum = 3990.786441745884155 Averaged sum = 0.3987197963578663358 logp*logq = 40.98019425747083516 -------------- ************************************* p = 557; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 664640708257431060.0 -------------- Searches starting with [557,659]-exponents: u = 1, v = 37 n_start has 108 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(557,659) = 0.5473252253148515614 D2(557,659) = 0.03417222562237363686 C1(557,659) = 0.7796910699429057501 C2(557,659) = 1.622200138200212565 C3(557,659) = 4.211621839513095738 C4(557,659) = 5272 Sum = 4150.675387802622330 Averaged sum = 0.4146943138977542541 logp*logq = 41.03802300122351353 -------------- ************************************* p = 557; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 677497531754150134.6 -------------- Searches starting with [557,661]-exponents: u = 1, v = 36 n_start has 105 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(557,661) = 0.8149451722198419255 D2(557,661) = 0.007454646285405328356 C1(557,661) = 1.228092989085627743 C2(557,661) = 1.604741585121578198 C3(557,661) = 9.628784578483825836 C4(557,661) = 5288 Sum = 4586.640931766959805 Averaged sum = 0.4582516666766869622 logp*logq = 41.05718230449059880 -------------- ************************************* p = 557; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 759118792919997595.0 -------------- Searches starting with [557,673]-exponents: u = 1, v = 33 n_start has 97 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(557,673) = 0.5747895669556845733 D2(557,673) = 0.01785586521740583642 C1(557,673) = 0.8251337232664885734 C2(557,673) = 1.646577122469428718 C3(557,673) = 4.579774414497326549 C4(557,673) = 5384 Sum = 3965.134798379984522 Averaged sum = 0.3961569385932645141 logp*logq = 41.17093467247058964 -------------- ************************************* p = 557; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 788100358678164037.4 -------------- Searches starting with [557,677]-exponents: u = 1, v = 32 n_start has 94 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(557,677) = 0.7430899362630188887 D2(557,677) = 0.01109526448133649570 C1(557,677) = 1.010841759521746704 C2(557,677) = 1.651198193553312917 C3(557,677) = 6.450247990290679364 C4(557,677) = 5416 Sum = 3897.608785741070710 Averaged sum = 0.3894104092058218314 logp*logq = 41.20840183538776460 -------------- ************************************* p = 557; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 833316183999387572.2 -------------- Searches starting with [557,683]-exponents: u = 1, v = 31 n_start has 91 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(557,683) = 1.355786051148484195 D2(557,683) = 0.03231425458574424231 C1(557,683) = 2.077203294139709056 C2(557,683) = 1.684736151471354042 C3(557,683) = 46.09122397669995111 C4(557,683) = 5464 Sum = 2432.176671726159261 Averaged sum = 0.2429989681013247338 logp*logq = 41.26418953768637812 -------------- ************************************* p = 557; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 896985044056437158.7 -------------- Searches starting with [557,691]-exponents: u = 1, v = 29 n_start has 86 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(557,691) = 0.9209818459363570122 D2(557,691) = 0.08264180894459751344 C1(557,691) = 1.297496712104507351 C2(557,691) = 1.748361100505938976 C3(557,691) = 10.94350519950472354 C4(557,691) = 5528 Sum = 4455.157162245993240 Averaged sum = 0.4451151126232384094 logp*logq = 41.33781558353776829 -------------- ************************************* p = 557; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 982285703044595896.9 -------------- Searches starting with [557,701]-exponents: u = 1, v = 27 n_start has 80 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(557,701) = 1.081574504042288438 D2(557,701) = 0.04990216680418012670 C1(557,701) = 1.574904533720649541 C2(557,701) = 1.742864947770440054 C3(557,701) = 18.25284305828981531 C4(557,701) = 5608 Sum = 4958.948944412991415 Averaged sum = 0.4954489903499841558 logp*logq = 41.42865860091427396 -------------- ************************************* p = 557; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.055350688720914882 E18 -------------- Searches starting with [557,709]-exponents: u = 1, v = 26 n_start has 77 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(557,709) = 0.8245365652066948096 D2(557,709) = 0.07002892555017849515 C1(557,709) = 1.134053498727450890 C2(557,709) = 1.778314642684416579 C3(557,709) = 8.095727302456590466 C4(557,709) = 5672 Sum = 4104.143647040520652 Averaged sum = 0.4100453239125307875 logp*logq = 41.50040479195662990 -------------- ************************************* p = 557; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.153067634897747095 E18 -------------- Searches starting with [557,719]-exponents: u = 1, v = 24 n_start has 72 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(557,719) = 0.6375546732959061659 D2(557,719) = 0.1121698943194311749 C1(557,719) = 0.8912343896145456982 C2(557,719) = 1.837005763638712401 C3(557,719) = 5.173490651006498199 C4(557,719) = 5752 Sum = 4064.572331743499650 Averaged sum = 0.4060917505988110351 logp*logq = 41.58895757338797979 -------------- ************************************* p = 557; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.236624934132257305 E18 -------------- Searches starting with [557,727]-exponents: u = 1, v = 23 n_start has 69 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(557,727) = 0.6611995465100470106 D2(557,727) = 0.1066312233003849701 C1(557,727) = 0.9265538061396733216 C2(557,727) = 1.848515061842003090 C3(557,727) = 5.521673886400317264 C4(557,727) = 5816 Sum = 4211.590115657576420 Averaged sum = 0.4207803092873989829 logp*logq = 41.65891751528995024 -------------- ************************************* p = 557; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.302587177869519966 E18 -------------- Searches starting with [557,733]-exponents: u = 1, v = 23 n_start has 69 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(557,733) = 0.9812640681468849833 D2(557,733) = 0.05987619128157105441 C1(557,733) = 1.550669366918736509 C2(557,733) = 1.819419195656991496 C3(557,733) = 17.45503550236536466 C4(557,733) = 5864 Sum = 1870.779354134238928 Averaged sum = 0.1869097166684223127 logp*logq = 41.71088409748422724 -------------- ************************************* p = 557; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.371486736373648885 E18 -------------- Searches starting with [557,739]-exponents: u = 1, v = 22 n_start has 66 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(557,739) = 0.6060556073797751379 D2(557,739) = 0.01046859567966454457 C1(557,739) = 0.8691268527711817297 C2(557,739) = 1.788814854075654536 C3(557,739) = 4.966813925061516784 C4(557,739) = 5912 Sum = 4135.205558817932073 Averaged sum = 0.4131487220319644393 logp*logq = 41.76242703435105768 -------------- ************************************* p = 557; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.419103522644971983 E18 -------------- Searches starting with [557,743]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(557,743) = 0.8248940728010407236 D2(557,743) = 0.05873867158783353224 C1(557,743) = 1.310051337416420129 C2(557,743) = 1.837892677455892873 C3(557,743) = 11.19982828465594765 C4(557,743) = 5944 Sum = 3866.281481505455265 Averaged sum = 0.3862804957044115561 logp*logq = 41.79655702405728648 -------------- ************************************* p = 557; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.518522069895870564 E18 -------------- Searches starting with [557,751]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(557,751) = 0.6151850870786133597 D2(557,751) = 0.02059620293930791801 C1(557,751) = 0.9822463798319172804 C2(557,751) = 1.820245244368502180 C3(557,751) = 6.118917018382382133 C4(557,751) = 6008 Sum = 3841.048896958424221 Averaged sum = 0.3837595061403161376 logp*logq = 41.86426921330198102 -------------- ************************************* p = 557; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.596877236795653128 E18 -------------- Searches starting with [557,757]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(557,757) = 0.6688837398078987440 D2(557,757) = 0.09297131738629375217 C1(557,757) = 0.9323343037166194901 C2(557,757) = 1.893818900105361695 C3(557,757) = 5.580849555032371487 C4(557,757) = 6056 Sum = 4161.483448434479541 Averaged sum = 0.4157741481101488202 logp*logq = 41.91458166903486351 -------------- ************************************* p = 557; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.650982514760244087 E18 -------------- Searches starting with [557,761]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(557,761) = 0.6929432524020649645 D2(557,761) = 0.1509662523943788559 C1(557,761) = 0.9805824873619828551 C2(557,761) = 1.952607564456138443 C3(557,761) = 6.100170352040249423 C4(557,761) = 6088 Sum = 4304.073592504894278 Averaged sum = 0.4300203409436401516 logp*logq = 41.94790224807833174 -------------- ************************************* p = 557; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.763833395375687830 E18 -------------- Searches starting with [557,769]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(557,769) = 0.8082470964975727391 D2(557,769) = 0.08148552835816447789 C1(557,769) = 1.129843313875755527 C2(557,769) = 1.905080084681640889 C3(557,769) = 8.033114588131599557 C4(557,769) = 6152 Sum = 4271.229935263345711 Averaged sum = 0.4267389284906929475 logp*logq = 42.01402117995108029 -------------- ************************************* p = 557; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.822649979006914144 E18 -------------- Searches starting with [557,773]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(557,773) = 0.6015494246457639776 D2(557,773) = 0.1336172034763981410 C1(557,773) = 0.8253942981133294877 C2(557,773) = 1.957998564365777425 C3(557,773) = 4.581975674223617591 C4(557,773) = 6184 Sum = 3825.226219057701592 Averaged sum = 0.3821786611107704657 logp*logq = 42.04682314841552365 -------------- ************************************* p = 557; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.041687070551490788 E18 -------------- Searches starting with [557,787]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(557,787) = 0.6414262097666652174 D2(557,787) = 0.1216227683888761873 C1(557,787) = 0.8825694428867342955 C2(557,787) = 1.970802537707139484 C3(557,787) = 5.091479162044986684 C4(557,787) = 6296 Sum = 3862.815598099665383 Averaged sum = 0.3859342190128549689 logp*logq = 42.16030813534507191 -------------- ************************************* p = 557; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.211360398836883585 E18 -------------- Searches starting with [557,797]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(557,797) = 0.6511926789845150849 D2(557,797) = 0.04673068343440720489 C1(557,797) = 0.9495220681278764817 C2(557,797) = 1.921860451800767399 C3(557,797) = 5.760575605168771761 C4(557,797) = 6376 Sum = 4081.337993762609398 Averaged sum = 0.4077668092479377958 logp*logq = 42.24013956512457398 -------------- ************************************* p = 557; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.430492259211495651 E18 -------------- Searches starting with [557,809]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(557,809) = 0.7999044849620686992 D2(557,809) = 0.1150129595380171305 C1(557,809) = 1.310262320025775821 C2(557,809) = 1.279200714788210496 C3(557,809) = 11.20418674273415912 C4(557,809) = 6472 Sum = 3549.972324371989426 Averaged sum = 0.3546780222172034595 logp*logq = 42.33462548653677104 -------------- ************************************* p = 557; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.468733072099394749 E18 -------------- Searches starting with [557,811]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(557,811) = 0.6969943940309071425 D2(557,811) = 0.002665143611277227011 C1(557,811) = 0.9720622052245004522 C2(557,811) = 1.906765260571180767 C3(557,811) = 6.005070717515235180 C4(557,811) = 6488 Sum = 4202.833680100337755 Averaged sum = 0.4199054531022417579 logp*logq = 42.35023676666547757 -------------- ************************************* p = 557; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.667624776473990285 E18 -------------- Searches starting with [557,821]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(557,821) = 0.5423634240276799545 D2(557,821) = 0.09207969139289963941 C1(557,821) = 0.7954953567663930682 C2(557,821) = 1.998082463000631603 C3(557,821) = 4.336176154175296123 C4(557,821) = 6568 Sum = 3890.383887182318493 Averaged sum = 0.3886885690061263356 logp*logq = 42.42772015355267586 -------------- ************************************* p = 557; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.708979126041799686 E18 -------------- Searches starting with [557,823]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(557,823) = 0.7500010690800865636 D2(557,823) = 0.1126728862492134932 C1(557,823) = 1.060505761053892590 C2(557,823) = 2.019053391389185729 C3(557,823) = 7.068902298020033874 C4(557,823) = 6584 Sum = 3920.760336469314259 Averaged sum = 0.3917234825126700228 logp*logq = 42.44310353155516688 -------------- ************************************* p = 557; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.793308622661751525 E18 -------------- Searches starting with [557,827]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(557,827) = 1.426287020543169729 D2(557,827) = 0.09482388060051041795 C1(557,827) = 2.354650422203690929 C2(557,827) = 1.240646699898298690 C3(557,827) = 76.88184422260888601 C4(557,827) = 6616 Sum = 5252.683576511172072 Averaged sum = 0.5247960412140245850 logp*logq = 42.47375845337709994 -------------- ************************************* p = 557; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.836295171930564165 E18 -------------- Searches starting with [557,829]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(557,829) = 0.9342625394034640846 D2(557,829) = 0.1211983214735780795 C1(557,829) = 1.270116523707147914 C2(557,829) = 1.385207752117889021 C3(557,829) = 10.40465869612987394 C4(557,829) = 6632 Sum = 4095.603991694271076 Averaged sum = 0.4091921262557968904 logp*logq = 42.48903035751715612 -------------- ************************************* p = 557; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.059678137727902224 E18 -------------- Searches starting with [557,839]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(557,839) = 0.6240301482003587619 D2(557,839) = 0.04921380799524796324 C1(557,839) = 0.8665615472773152969 C2(557,839) = 1.987561372544949184 C3(557,839) = 4.943372690642715289 C4(557,839) = 6712 Sum = 3942.905734312951601 Averaged sum = 0.3939360310033921072 logp*logq = 42.56484140057586169 -------------- ************************************* p = 557; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.397163618838525685 E18 -------------- Searches starting with [557,853]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(557,853) = 0.8588925491654131797 D2(557,853) = 0.1214111759314681945 C1(557,853) = 1.206707751166525122 C2(557,853) = 1.816812103926892997 C3(557,853) = 9.256443962571065043 C4(557,853) = 6824 Sum = 4089.187695197123165 Averaged sum = 0.4085510735535141538 logp*logq = 42.66947252759827693 -------------- ************************************* p = 557; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.499150274271881425 E18 -------------- Searches starting with [557,857]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(557,857) = 0.8207096249367769298 D2(557,857) = 0.1188257681525909847 C1(557,857) = 1.213812333865726602 C2(557,857) = 1.815016654152660017 C3(557,857) = 9.378517413673681906 C4(557,857) = 6856 Sum = 3783.370639477106877 Averaged sum = 0.3779968667676198298 logp*logq = 42.69905183413318919 -------------- ************************************* p = 557; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.551102367093132120 E18 -------------- Searches starting with [557,859]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(557,859) = 0.7257845240526777637 D2(557,859) = 0.0009975983418856586972 C1(557,859) = 1.032997480408343388 C2(557,859) = 1.975193596306672528 C3(557,859) = 6.719249705664798124 C4(557,859) = 6872 Sum = 4115.047009498634394 Averaged sum = 0.4111346797380991501 logp*logq = 42.71378975511867249 -------------- ************************************* p = 557; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.656956556113829808 E18 -------------- Searches starting with [557,863]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(557,863) = 0.5968740858056571361 D2(557,863) = 0.02891735421838708741 C1(557,863) = 0.8199394924256672887 C2(557,863) = 2.003848072250733688 C3(557,863) = 4.536115056950279248 C4(557,863) = 6904 Sum = 3958.123758002420177 Averaged sum = 0.3954564649817584351 logp*logq = 42.74316293333782930 -------------- ************************************* p = 557; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.048619197933382943 E18 -------------- Searches starting with [557,877]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(557,877) = 0.8213623730212397240 D2(557,877) = 0.09005956433607718017 C1(557,877) = 1.104889166676981127 C2(557,877) = 1.324084583032599664 C3(557,877) = 7.671819073559582469 C4(557,877) = 7016 Sum = 3966.777360991958413 Averaged sum = 0.3963210471567547620 logp*logq = 42.84490755809654930 -------------- ************************************* p = 557; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.166796694341120151 E18 -------------- Searches starting with [557,881]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(557,881) = 0.6106238570708178166 D2(557,881) = 0.1055124908289838720 C1(557,881) = 0.8722525051394161935 C2(557,881) = 1.830975490039485861 C3(557,881) = 4.995525775470424947 C4(557,881) = 7048 Sum = 4162.071345021432589 Averaged sum = 0.4158328849057281036 logp*logq = 42.87367923568791978 -------------- ************************************* p = 557; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.226965883952592717 E18 -------------- Searches starting with [557,883]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(557,883) = 0.5674393625881167026 D2(557,883) = 0.1043108550305811222 C1(557,883) = 0.7932212357969710097 C2(557,883) = 1.830161607600375213 C3(557,883) = 4.318029335764017780 C4(557,883) = 7064 Sum = 4081.094563377532953 Averaged sum = 0.4077424880984646770 logp*logq = 42.88801612446136846 -------------- ************************************* p = 557; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.349500736401279493 E18 -------------- Searches starting with [557,887]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(557,887) = 0.5915659100356876268 D2(557,887) = 0.1019297289794563510 C1(557,887) = 0.8458327338048538080 C2(557,887) = 1.828553313990142524 C3(557,887) = 4.757970946510811617 C4(557,887) = 7096 Sum = 3882.466052693712905 Averaged sum = 0.3878974975216018488 logp*logq = 42.91659273916537742 -------------- ************************************* p = 557; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.008008144820361766 E18 -------------- Searches starting with [557,907]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(557,907) = 0.9214522254549120594 D2(557,907) = 0.06433814658076410748 C1(557,907) = 1.565346195839204356 C2(557,907) = 1.193601227916584960 C3(557,907) = 17.93392341053933130 C4(557,907) = 7256 Sum = 3226.718025075131702 Averaged sum = 0.3223816590144002100 logp*logq = 43.05756993405119051 -------------- ************************************* p = 557; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.149297895013369657 E18 -------------- Searches starting with [557,911]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(557,911) = 0.6076440247470186821 D2(557,911) = 0.08962792946773914218 C1(557,911) = 0.8525931709250987693 C2(557,911) = 1.848297933215020367 C3(557,911) = 4.817660307597022036 C4(557,911) = 7288 Sum = 4146.407368015352460 Averaged sum = 0.4142678956954093776 logp*logq = 43.08539204820917757 -------------- ************************************* p = 557; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.441963783776027864 E18 -------------- Searches starting with [557,919]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(557,919) = 0.7437907361491868932 D2(557,919) = 0.08519873423315788507 C1(557,919) = 1.036168622305713522 C2(557,919) = 1.845384658647278956 C3(557,919) = 6.758658877484219395 C4(557,919) = 7352 Sum = 4077.612591885567843 Averaged sum = 0.4073946040449163596 logp*logq = 43.14067165928429193 -------------- ************************************* p = 557; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.827375246722746482 E18 -------------- Searches starting with [557,929]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(557,929) = 0.5754660563876972862 D2(557,929) = 0.07367863688261249181 C1(557,929) = 0.8631625069371125849 C2(557,929) = 1.700591660175500595 C3(557,929) = 4.912483280923368134 C4(557,929) = 7432 Sum = 3807.407442001435251 Averaged sum = 0.3803983856530557749 logp*logq = 43.20909835790766534 -------------- ************************************* p = 557; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.152015761542745358 E18 -------------- Searches starting with [557,937]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(557,937) = 0.6030432786135683695 D2(557,937) = 0.04467982584400898680 C1(557,937) = 0.8193332254811548202 C2(557,937) = 2.109472584402176901 C3(557,937) = 4.531046368984864336 C4(557,937) = 7496 Sum = 3657.535069206439558 Averaged sum = 0.3654246247583614305 logp*logq = 43.26331146811218511 -------------- ************************************* p = 557; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.319960892273957005 E18 -------------- Searches starting with [557,941]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(557,941) = 0.7917262981460755452 D2(557,941) = 0.05098472158803024955 C1(557,941) = 1.361035907574805886 C2(557,941) = 1.274650965283619904 C3(557,941) = 12.30395023121239489 C4(557,941) = 7528 Sum = 3735.272962899817579 Averaged sum = 0.3731914240083742211 logp*logq = 43.29024469410110712 -------------- ************************************* p = 557; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.579106537285880814 E18 -------------- Searches starting with [557,947]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(557,947) = 0.6919091390806748036 D2(557,947) = 0.06875840463531959913 C1(557,947) = 1.189371964219213631 C2(557,947) = 1.368256795308744503 C3(557,947) = 8.965201608133364335 C4(557,947) = 7576 Sum = 3940.901241401742433 Averaged sum = 0.3937357619544152695 logp*logq = 43.33043062540347481 -------------- ************************************* p = 557; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.847140194441214305 E18 -------------- Searches starting with [557,953]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(557,953) = 0.5630900416023189919 D2(557,953) = 0.06859995073640376794 C1(557,953) = 0.7819358343611026766 C2(557,953) = 1.866099533737758884 C3(557,953) = 4.229092515809689951 C4(557,953) = 7624 Sum = 3881.986826825439466 Averaged sum = 0.3878496180263202584 logp*logq = 43.37036274913120365 -------------- ************************************* p = 557; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.508508061748718430 E18 -------------- Searches starting with [557,967]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(557,967) = 1.713303709835048994 D2(557,967) = 0.05678616125758648174 C1(557,967) = 2.334332979237151767 C2(557,967) = 1.716151170858982211 C3(557,967) = 74.05453993046954335 C4(557,967) = 7736 Sum = 4151.960834980562346 Averaged sum = 0.4148227430293298378 logp*logq = 43.46256845971343268 -------------- ************************************* p = 557; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.707055156127825350 E18 -------------- Searches starting with [557,971]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(557,971) = 0.7876751018310666287 D2(557,971) = 0.05498493325666659788 C1(557,971) = 1.103787535318692015 C2(557,971) = 1.715057378423047505 C3(557,971) = 7.656249241371586942 C4(557,971) = 7768 Sum = 4240.429962227222075 Averaged sum = 0.4236617006920993181 logp*logq = 43.48866783729052884 -------------- ************************************* p = 557; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.013153083900097822 E18 -------------- Searches starting with [557,977]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(557,977) = 0.9713390080103954958 D2(557,977) = 0.04959861986292449635 C1(557,977) = 1.431605944900873660 C2(557,977) = 1.624454751106984133 C3(557,977) = 14.01404917868249207 C4(557,977) = 7816 Sum = 4912.107311569462826 Averaged sum = 0.4907690390218266386 logp*logq = 43.52761600094906097 -------------- ************************************* p = 557; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.329421708964766163 E18 -------------- Searches starting with [557,983]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(557,983) = 0.5927155184821217075 D2(557,983) = 0.02475585619313108790 C1(557,983) = 1.032760781346126392 C2(557,983) = 2.143960190683410938 C3(557,983) = 6.716317375310380555 C4(557,983) = 7864 Sum = 4107.332856390182072 Averaged sum = 0.4103639580767491330 logp*logq = 43.56632570496840155 -------------- ************************************* p = 557; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.767406521508931068 E18 -------------- Searches starting with [557,991]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(557,991) = 0.9671994397141446288 D2(557,991) = 0.03564657300693241974 C1(557,991) = 1.684987644964562193 C2(557,991) = 1.161412672638375892 C3(557,991) = 22.36121246251972777 C4(557,991) = 7928 Sum = 3194.665208567892200 Averaged sum = 0.3191792595232183235 logp*logq = 43.61757271493592198 -------------- ************************************* p = 557; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.108477148080093909 E18 -------------- Searches starting with [557,997]-exponents: u = 1, v = 10 n_start has 33 digits starting right neighbors generation We generated 22 left neighbors We generated 9988 right neighbors We generated 10009 non-negative rho_i D1(557,997) = 0.7071681250602232311 D2(557,997) = 0.04831319301075064413 C1(557,997) = 1.002293750808929298 C2(557,997) = 1.889163410637935135 C3(557,997) = 6.349366101921509295 C4(557,997) = 7976 Sum = 3778.156773737812393 Averaged sum = 0.3774759490196635421 logp*logq = 43.65573720852186945 -------------- ************************************* p = 563; q = 569; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 281123007285139153.8 -------------- Searches starting with [563,569]-exponents: u = 1, v = 597 n_start has 1648 digits --- performed 5000 steps in the continued fraction search [563,569]-exponents: u = 252, v = 338 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(563,569) = 0.6529273885523083986 D2(563,569) = 0.2102939149597338729 C1(563,569) = 0.8414263931496801863 C2(563,569) = 1.235782335082243690 C3(563,569) = 4.726193678616542148 C4(563,569) = 4552 Sum = 5516.276428537113528 Averaged sum = 0.5516828111348248352 logp*logq = 40.17756871680626668 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(563,569) = 0.6529273885523083986 D2(563,569) = 0.2102939149597338729 C1(563,569) = 0.8414263931496801863 C2(563,569) = 1.235782335082243690 C3(563,569) = 4.726193678616542148 C4(563,569) = 4552 Sum = 5516.276428537113528 Averaged sum = 0.5516828111348248352 logp*logq = 40.17756871680626668 -------------- ************************************* p = 563; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 287440067741611084.8 -------------- Searches starting with [563,571]-exponents: u = 1, v = 448 n_start has 1238 digits --- performed 5000 steps in the continued fraction search [563,571]-exponents: u = 127, v = 311 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(563,571) = 0.5534222441616671075 D2(563,571) = 0.1287649922896836139 C1(563,571) = 0.7206915654215817565 C2(563,571) = 1.194800987592335478 C3(563,571) = 3.782047825633114983 C4(563,571) = 4568 Sum = 5357.788405553089664 Averaged sum = 0.5358324237976887352 logp*logq = 40.19979077338809962 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(563,571) = 0.5534222441616671075 D2(563,571) = 0.1287649922896836139 C1(563,571) = 0.7206915654215817565 C2(563,571) = 1.194800987592335478 C3(563,571) = 3.782047825633114983 C4(563,571) = 4568 Sum = 5357.788405553089664 Averaged sum = 0.5358324237976887352 logp*logq = 40.19979077338809962 -------------- ************************************* p = 563; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307113231087754760.6 -------------- Searches starting with [563,577]-exponents: u = 1, v = 257 n_start has 713 digits --- performed 5000 steps in the continued fraction search [563,577]-exponents: u = 50, v = 188 --- starting right neighbors generation We generated 7104 left neighbors We generated 2906 right neighbors We generated 10009 non-negative rho_i D1(563,577) = 0.7496917708140860036 D2(563,577) = 0.002557102981622498224 C1(563,577) = 0.9987177812668123706 C2(563,577) = 1.160289263031248320 C3(563,577) = 6.318308108745491817 C4(563,577) = 4616 Sum = 5027.192596173904529 Averaged sum = 0.5022672191201822888 logp*logq = 40.26599290540122307 -------------- ************************************* p = 563; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 342420127248372490.0 -------------- Searches starting with [563,587]-exponents: u = 1, v = 151 n_start has 421 digits starting right neighbors generation We generated 2464 left neighbors We generated 7546 right neighbors We generated 10009 non-negative rho_i D1(563,587) = 0.6424604428376422669 D2(563,587) = 0.01121438631855581473 C1(563,587) = 0.8781984051327059537 C2(563,587) = 1.260942809903370458 C3(563,587) = 5.058118664851061200 C4(563,587) = 4696 Sum = 4756.477509652822397 Averaged sum = 0.4752200529176563489 logp*logq = 40.37481482030218335 -------------- ************************************* p = 563; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 365200023830195448.2 -------------- Searches starting with [563,593]-exponents: u = 1, v = 121 n_start has 339 digits starting right neighbors generation We generated 1630 left neighbors We generated 8380 right neighbors We generated 10009 non-negative rho_i D1(563,593) = 1.207495033490312879 D2(563,593) = 0.005730318065592440549 C1(563,593) = 1.670656075866390110 C2(563,593) = 1.298963230196048372 C3(563,593) = 21.83965619230815672 C4(563,593) = 4744 Sum = 5479.042671569935459 Averaged sum = 0.5474115967199455949 logp*logq = 40.43922160888394847 -------------- ************************************* p = 563; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 389242911955883948.4 -------------- Searches starting with [563,599]-exponents: u = 1, v = 102 n_start has 287 digits starting right neighbors generation We generated 1273 left neighbors We generated 8737 right neighbors We generated 10009 non-negative rho_i D1(563,599) = 0.6933943897415610542 D2(563,599) = 0.00007126330219967257102 C1(563,599) = 0.9695453150624361066 C2(563,599) = 1.331228701302783114 C3(563,599) = 5.987083499433332567 C4(563,599) = 4792 Sum = 4089.277221925339819 Averaged sum = 0.4085600181761754240 logp*logq = 40.50297999596865509 -------------- ************************************* p = 563; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 397547551239267962.2 -------------- Searches starting with [563,601]-exponents: u = 1, v = 96 n_start has 270 digits starting right neighbors generation We generated 1022 left neighbors We generated 8988 right neighbors We generated 10009 non-negative rho_i D1(563,601) = 0.9441275324746899432 D2(563,601) = 0.01367718347705940252 C1(563,601) = 1.324214806979323650 C2(563,601) = 1.354717126849633126 C3(563,601) = 11.52201790847595910 C4(563,601) = 4808 Sum = 5214.907700033347350 Averaged sum = 0.5210218503380305075 logp*logq = 40.52409094760964599 -------------- ************************************* p = 563; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 423362355127123298.3 -------------- Searches starting with [563,607]-exponents: u = 1, v = 84 n_start has 237 digits starting right neighbors generation We generated 890 left neighbors We generated 9120 right neighbors We generated 10009 non-negative rho_i D1(563,607) = 0.6977752767682202957 D2(563,607) = 0.001153374638150376833 C1(563,607) = 0.9876861631896147390 C2(563,607) = 1.375697237959459161 C3(563,607) = 6.190953455801919261 C4(563,607) = 4856 Sum = 3834.363738081402970 Averaged sum = 0.3830915913759019852 logp*logq = 40.58700483876379872 -------------- ************************************* p = 563; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 450574529122950451.5 -------------- Searches starting with [563,613]-exponents: u = 1, v = 74 n_start has 210 digits starting right neighbors generation We generated 647 left neighbors We generated 9363 right neighbors We generated 10009 non-negative rho_i D1(563,613) = 0.6543095834851726776 D2(563,613) = 0.02062626887120394471 C1(563,613) = 0.8950249878298230606 C2(563,613) = 1.422012853099839463 C3(563,613) = 5.217682937074249600 C4(563,613) = 4904 Sum = 3965.605339342100195 Averaged sum = 0.3962039503788690374 logp*logq = 40.64929989473091662 -------------- ************************************* p = 563; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 469522259056294121.7 -------------- Searches starting with [563,617]-exponents: u = 1, v = 69 n_start has 196 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(563,617) = 0.7039450339741616806 D2(563,617) = 0.01308678552880398985 C1(563,617) = 1.009786015129125058 C2(563,617) = 1.433475853475416865 C3(563,617) = 6.448718414446232909 C4(563,617) = 4936 Sum = 3553.737126378195474 Averaged sum = 0.3550541638903182610 logp*logq = 40.69049210256573005 -------------- ************************************* p = 563; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 479244917194544489.0 -------------- Searches starting with [563,619]-exponents: u = 1, v = 66 n_start has 188 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(563,619) = 0.6430093102685092274 D2(563,619) = 0.01702442580039202344 C1(563,619) = 0.9242929048177184142 C2(563,619) = 1.445657838737183535 C3(563,619) = 5.507312065465609259 C4(563,619) = 4952 Sum = 4537.371403155441816 Averaged sum = 0.4533291440858669014 logp*logq = 40.71098817103068185 -------------- ************************************* p = 563; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 541213846460111326.8 -------------- Searches starting with [563,631]-exponents: u = 1, v = 55 n_start has 157 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(563,631) = 0.7053279089044048369 D2(563,631) = 0.02187563243746659094 C1(563,631) = 0.9807254140653583748 C2(563,631) = 1.498193486114866662 C3(563,631) = 6.111919182224373889 C4(563,631) = 5048 Sum = 4373.237166750665972 Averaged sum = 0.4369304792437472247 logp*logq = 40.83259087561786022 -------------- ************************************* p = 563; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 597883788032665619.4 -------------- Searches starting with [563,641]-exponents: u = 1, v = 48 n_start has 138 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(563,641) = 0.6423204555127211388 D2(563,641) = 0.02527565433674837004 C1(563,641) = 0.9453878945953053369 C2(563,641) = 1.537140413097238655 C3(563,641) = 5.725982738075178943 C4(563,641) = 5128 Sum = 4318.076261930505360 Averaged sum = 0.4314193487791493016 logp*logq = 40.93217279558240623 -------------- ************************************* p = 563; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 609797088304769881.5 -------------- Searches starting with [563,643]-exponents: u = 1, v = 47 n_start has 135 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(563,643) = 1.310039503683281994 D2(563,643) = 0.02699038002686390582 C1(563,643) = 1.795249317472925426 C2(563,643) = 1.545455209322202313 C3(563,643) = 27.48674484761453242 C4(563,643) = 5144 Sum = 4177.339311102125906 Averaged sum = 0.4173583086324433915 logp*logq = 40.95190265461705093 -------------- ************************************* p = 563; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 634224211816461138.0 -------------- Searches starting with [563,647]-exponents: u = 1, v = 45 n_start has 130 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(563,647) = 0.6992819307108102260 D2(563,647) = 0.02279957730236811154 C1(563,647) = 0.9840529281577760165 C2(563,647) = 1.555073029094251539 C3(563,647) = 6.149574024319951434 C4(563,647) = 5176 Sum = 4391.693775769844348 Averaged sum = 0.4387744805444943899 logp*logq = 40.99117893322796650 -------------- ************************************* p = 563; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 672407123858484640.1 -------------- Searches starting with [563,653]-exponents: u = 1, v = 42 n_start has 121 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(563,653) = 0.5984211507794066656 D2(563,653) = 0.05621807393438655067 C1(563,653) = 0.8249928020027876579 C2(563,653) = 1.603616030598315559 C3(563,653) = 4.584984557381859703 C4(563,653) = 5224 Sum = 4132.250443207660175 Averaged sum = 0.4128534761921930438 logp*logq = 41.04964039106255721 -------------- ************************************* p = 563; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 712507713494138156.8 -------------- Searches starting with [563,659]-exponents: u = 1, v = 40 n_start has 116 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(563,659) = 0.5996935654730952611 D2(563,659) = 0.01035850076069701395 C1(563,659) = 0.8164850117674124317 C2(563,659) = 1.581743410351363732 C3(563,659) = 4.513545124951520265 C4(563,659) = 5272 Sum = 3638.455002419400019 Averaged sum = 0.3635183337415725865 logp*logq = 41.10756713295157574 -------------- ************************************* p = 563; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 726314058808328275.0 -------------- Searches starting with [563,661]-exponents: u = 1, v = 39 n_start has 113 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(563,661) = 0.7232410622992448523 D2(563,661) = 0.05420465803831189546 C1(563,661) = 1.027026924082374920 C2(563,661) = 1.626010670882004426 C3(563,661) = 6.657240100529510989 C4(563,661) = 5288 Sum = 4312.145491055447471 Averaged sum = 0.4308268049810617914 logp*logq = 41.12675890408657425 -------------- ************************************* p = 563; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 813973365508790908.7 -------------- Searches starting with [563,673]-exponents: u = 1, v = 35 n_start has 102 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(563,673) = 0.8800435485040050726 D2(563,673) = 0.02751882146359293344 C1(563,673) = 1.258651114969781134 C2(563,673) = 1.636553152259838441 C3(563,673) = 10.20870868764474656 C4(563,673) = 5384 Sum = 4613.157222908709110 Averaged sum = 0.4609009114705474182 logp*logq = 41.24070403987272728 -------------- ************************************* p = 563; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 845102820260149577.4 -------------- Searches starting with [563,677]-exponents: u = 1, v = 34 n_start has 99 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(563,677) = 0.7511116292596136424 D2(563,677) = 0.02981501798423979242 C1(563,677) = 1.048406997915657241 C2(563,677) = 1.649313137970713941 C3(563,677) = 6.925212440786500913 C4(563,677) = 5416 Sum = 4279.142942254969240 Averaged sum = 0.4275295176596032810 logp*logq = 41.27823469564659544 -------------- ************************************* p = 563; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 893673541491649391.5 -------------- Searches starting with [563,683]-exponents: u = 1, v = 32 n_start has 94 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(563,683) = 0.5824809574312154798 D2(563,683) = 0.06475137198827878585 C1(563,683) = 0.8873714957367400116 C2(563,683) = 1.695569350863114664 C3(563,683) = 5.144491170238684676 C4(563,683) = 5464 Sum = 4037.442279578309641 Averaged sum = 0.4033811848914286782 logp*logq = 41.33411693727809410 -------------- ************************************* p = 563; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 962073986628828717.9 -------------- Searches starting with [563,691]-exponents: u = 1, v = 30 n_start has 88 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(563,691) = 0.7612384244376489268 D2(563,691) = 0.03879181427667138580 C1(563,691) = 1.166666819997928934 C2(563,691) = 1.692883476882860301 C3(563,691) = 8.614569193453148556 C4(563,691) = 5528 Sum = 4172.114996184998730 Averaged sum = 0.4168363469062842172 logp*logq = 41.40786775179660921 -------------- ************************************* p = 563; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.053726617498528039 E18 -------------- Searches starting with [563,701]-exponents: u = 1, v = 28 n_start has 83 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(563,701) = 0.7058192299515501447 D2(563,701) = 0.02401926311827138254 C1(563,701) = 1.088864917075589791 C2(563,701) = 1.704058741987579089 C3(563,701) = 7.462173255667652668 C4(563,701) = 5608 Sum = 3894.869408065884176 Averaged sum = 0.3891367177606038741 logp*logq = 41.49886471418081708 -------------- ************************************* p = 563; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.132243218851681546 E18 -------------- Searches starting with [563,709]-exponents: u = 1, v = 27 n_start has 80 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(563,709) = 0.7105761630579537420 D2(563,709) = 0.05218998027798421676 C1(563,709) = 1.034983234591481334 C2(563,709) = 1.746803261517379748 C3(563,709) = 6.755729111635066485 C4(563,709) = 5672 Sum = 4059.618809411617266 Averaged sum = 0.4055968437817581442 logp*logq = 41.57073248823804407 -------------- ************************************* p = 563; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.237265446963860997 E18 -------------- Searches starting with [563,719]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(563,719) = 0.7084633975022869337 D2(563,719) = 0.1044604211982992106 C1(563,719) = 1.105235050313462761 C2(563,719) = 1.814793765949595190 C3(563,719) = 7.691093591518078718 C4(563,719) = 5752 Sum = 3746.111318266243926 Averaged sum = 0.3742742849701512564 logp*logq = 41.65943533358198947 -------------- ************************************* p = 563; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.327081483261282173 E18 -------------- Searches starting with [563,727]-exponents: u = 1, v = 24 n_start has 72 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(563,727) = 0.5731480354586782995 D2(563,727) = 0.1106824762623274595 C1(563,727) = 0.8014106826040005564 C2(563,727) = 1.837144768159658780 C3(563,727) = 4.389689221428805294 C4(563,727) = 5816 Sum = 4020.628677274392889 Averaged sum = 0.4017013365245671784 logp*logq = 41.72951383147324754 -------------- ************************************* p = 563; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.397991835597044433 E18 -------------- Searches starting with [563,733]-exponents: u = 1, v = 24 n_start has 72 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(563,733) = 1.503154938239761364 D2(563,733) = 0.07282891698171684779 C1(563,733) = 2.365118430476624924 C2(563,733) = 1.815927719309719585 C3(563,733) = 78.69492511548465584 C4(563,733) = 5864 Sum = 2082.997242379577733 Averaged sum = 0.2081124230572062877 logp*logq = 41.78156847762804887 -------------- ************************************* p = 563; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.472066339140220188 E18 -------------- Searches starting with [563,739]-exponents: u = 1, v = 23 n_start has 69 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(563,739) = 0.5175312248104559648 D2(563,739) = 0.03043817896920511670 C1(563,739) = 0.7263489190788798289 C2(563,739) = 1.791193426295779949 C3(563,739) = 3.821748583107048708 C4(563,739) = 5912 Sum = 4089.213612099381084 Averaged sum = 0.4085536629133161238 logp*logq = 41.83319876053469733 -------------- ************************************* p = 563; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.523263258113923279 E18 -------------- Searches starting with [563,743]-exponents: u = 1, v = 22 n_start has 66 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(563,743) = 0.7421081281388214696 D2(563,743) = 0.08386268677448137666 C1(563,743) = 1.018118521224943219 C2(563,743) = 1.845420605792624342 C3(563,743) = 6.548668241871710139 C4(563,743) = 5944 Sum = 4087.181490832515810 Averaged sum = 0.4083506335130898002 logp*logq = 41.86738658783461179 -------------- ************************************* p = 563; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.630165999918334270 E18 -------------- Searches starting with [563,751]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(563,751) = 1.044213313867113435 D2(563,751) = 0.05359584694191146230 C1(563,751) = 1.658925961332447683 C2(563,751) = 1.834352302775161009 C3(563,751) = 21.37187380996597246 C4(563,751) = 6008 Sum = 4613.535850452546896 Averaged sum = 0.4609387401790935054 logp*logq = 41.93521352396680352 -------------- ************************************* p = 563; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.714428118899106831 E18 -------------- Searches starting with [563,757]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(563,757) = 0.6433108883057459642 D2(563,757) = 0.1380805982932684206 C1(563,757) = 0.8949661255246922469 C2(563,757) = 1.920027659310000349 C3(563,757) = 5.217116071237467409 C4(563,757) = 6056 Sum = 4143.057405323576031 Averaged sum = 0.4139332006517710092 logp*logq = 41.98561124053325359 -------------- ************************************* p = 563; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.772616336900114127 E18 -------------- Searches starting with [563,761]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(563,761) = 1.078847276200688905 D2(563,761) = 0.03704843037930340808 C1(563,761) = 1.723088955435874626 C2(563,761) = 1.838689742441062995 C3(563,761) = 24.05899580574397922 C4(563,761) = 6088 Sum = 1756.743145951678746 Averaged sum = 0.1755163498802756265 logp*logq = 42.01898828552144302 -------------- ************************************* p = 563; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.893993552169065211 E18 -------------- Searches starting with [563,769]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(563,769) = 0.6444206328250016786 D2(563,769) = 0.1411615841862555432 C1(563,769) = 0.9304309186575761581 C2(563,769) = 1.944377838917615233 C3(563,769) = 5.570062827239525423 C4(563,769) = 6152 Sum = 3782.140640601365408 Averaged sum = 0.3778739774804041770 logp*logq = 42.08521926430511951 -------------- ************************************* p = 563; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.957259236605950161 E18 -------------- Searches starting with [563,773]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(563,773) = 1.022624421291715607 D2(563,773) = 0.02849701640201168092 C1(563,773) = 1.642616166510418096 C2(563,773) = 1.852878377291390965 C3(563,773) = 20.73806360750011049 C4(563,773) = 6184 Sum = 4363.783085335919276 Averaged sum = 0.4359859212045078705 logp*logq = 42.11807681986292171 -------------- ************************************* p = 563; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.192894690631231674 E18 -------------- Searches starting with [563,787]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(563,787) = 0.7921966921996189623 D2(563,787) = 0.02347937946780338147 C1(563,787) = 1.063533047368926881 C2(563,787) = 1.872659148786066678 C3(563,787) = 7.121288417089653312 C4(563,787) = 6296 Sum = 3846.361231535716918 Averaged sum = 0.3842902619178456307 logp*logq = 42.23175412148755045 -------------- ************************************* p = 563; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.375455389018585251 E18 -------------- Searches starting with [563,797]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(563,797) = 0.5274252107620750106 D2(563,797) = 0.1346203412647463456 C1(563,797) = 0.8581308406466162094 C2(563,797) = 1.985728976728755362 C3(563,797) = 4.874188030953985747 C4(563,797) = 6376 Sum = 4076.283826060410889 Averaged sum = 0.4072618469437916764 logp*logq = 42.31172083574380374 -------------- ************************************* p = 563; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.611266105573498468 E18 -------------- Searches starting with [563,809]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(563,809) = 0.7006937264867122408 D2(563,809) = 0.07509407499624773100 C1(563,809) = 1.058872248335685126 C2(563,809) = 1.952524727480316391 C3(563,809) = 7.060286834369562808 C4(563,809) = 6472 Sum = 3493.052762988875149 Averaged sum = 0.3489911842330777450 logp*logq = 42.40636687552634581 -------------- ************************************* p = 563; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.652421342735544677 E18 -------------- Searches starting with [563,811]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(563,811) = 0.6628953332184159729 D2(563,811) = 0.09614967799347721554 C1(563,811) = 0.9682361022091790765 C2(563,811) = 1.973960471377585187 C3(563,811) = 5.972632767117723208 C4(563,811) = 6488 Sum = 4083.851647609033762 Averaged sum = 0.4080179486071569349 logp*logq = 42.42200461094802984 -------------- ************************************* p = 563; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.866488121238725549 E18 -------------- Searches starting with [563,821]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(563,821) = 0.6003990869783437284 D2(563,821) = 0.008107376579948166185 C1(563,821) = 0.8472953550526024972 C2(563,821) = 1.914110148187680129 C3(563,821) = 4.777671033075581611 C4(563,821) = 6568 Sum = 4146.210134163303058 Averaged sum = 0.4142481900452895452 logp*logq = 42.49961930325567343 -------------- ************************************* p = 563; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.911001198417590051 E18 -------------- Searches starting with [563,823]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(563,823) = 0.7095023323448504995 D2(563,823) = 0.02455203325443018719 C1(563,823) = 1.039359201246428248 C2(563,823) = 1.930932538394402423 C3(563,823) = 6.810517722365858033 C4(563,823) = 6584 Sum = 3744.121098625093712 Averaged sum = 0.3740754419647411042 logp*logq = 42.51502875034210147 -------------- ************************************* p = 563; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.001775499954140649 E18 -------------- Searches starting with [563,827]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(563,827) = 0.6981817685215736662 D2(563,827) = 0.05944939573302393601 C1(563,827) = 1.060654471734901835 C2(563,827) = 1.966582606767488081 C3(563,827) = 7.083551025085562978 C4(563,827) = 6616 Sum = 3402.740129944773344 Averaged sum = 0.3399680417568961279 logp*logq = 42.54573562081470989 -------------- ************************************* p = 563; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.048049053123303497 E18 -------------- Searches starting with [563,829]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(563,829) = 0.5548390291119103368 D2(563,829) = 0.07808422965658792848 C1(563,829) = 0.7623853649153931556 C2(563,829) = 1.985592421962326280 C3(563,829) = 4.084604026711907616 C4(563,829) = 6632 Sum = 3915.794246605496689 Averaged sum = 0.3912273200724844329 logp*logq = 42.56103340513211337 -------------- ************************************* p = 563; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.288531937937453296 E18 -------------- Searches starting with [563,839]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(563,839) = 0.9211232366300624964 D2(563,839) = 0.1271945582820918600 C1(563,839) = 1.267735185610576611 C2(563,839) = 1.412435501194436364 C3(563,839) = 10.38132679619642710 C4(563,839) = 6712 Sum = 4137.149814549840788 Averaged sum = 0.4133429727794825445 logp*logq = 42.63697291961266982 -------------- ************************************* p = 563; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.651907681224424082 E18 -------------- Searches starting with [563,853]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(563,853) = 0.7458455443692018698 D2(563,853) = 0.08600543020799056846 C1(563,853) = 1.075641320168601300 C2(563,853) = 2.026945088805629525 C3(563,853) = 7.282238760231191556 C4(563,853) = 6824 Sum = 3780.810047255713698 Averaged sum = 0.3777410377915589667 logp*logq = 42.74178135734228666 -------------- ************************************* p = 563; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.761730593978389008 E18 -------------- Searches starting with [563,857]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(563,857) = 0.7495148791704322310 D2(563,857) = 0.08958077662415577312 C1(563,857) = 1.248550464776010388 C2(563,857) = 1.307460369369782137 C3(563,857) = 10.02014117476346198 C4(563,857) = 6856 Sum = 3720.885562297417995 Averaged sum = 0.3717539776498569282 logp*logq = 42.77141078976143139 -------------- ************************************* p = 563; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.817676578799900865 E18 -------------- Searches starting with [563,859]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(563,859) = 1.191881987344452322 D2(563,859) = 0.08460794035342639742 C1(563,859) = 1.985363349939935041 C2(563,859) = 1.226313565414448708 C3(563,859) = 39.04129086412871904 C4(563,859) = 6872 Sum = 4349.270301935823198 Averaged sum = 0.4345359478405258465 logp*logq = 42.78617368602212182 -------------- ************************************* p = 563; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.931672732173826535 E18 -------------- Searches starting with [563,863]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(563,863) = 0.6515037853848016691 D2(563,863) = 0.1208513426629218787 C1(563,863) = 0.9155771409070032539 C2(563,863) = 1.817933670620833584 C3(563,863) = 5.419420874297870622 C4(563,863) = 6904 Sum = 4196.191769871611418 Averaged sum = 0.4192418593137787409 logp*logq = 42.81559664081495237 -------------- ************************************* p = 563; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.353508234903606469 E18 -------------- Searches starting with [563,877]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(563,877) = 0.7023250597266736535 D2(563,877) = 0.05818433892052074638 C1(563,877) = 0.9797519921869681612 C2(563,877) = 2.035659892076251698 C3(563,877) = 6.100947391143103251 C4(563,877) = 7016 Sum = 4064.681526888554188 Averaged sum = 0.4061026602945902875 logp*logq = 42.91751368473691110 -------------- ************************************* p = 563; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.480803780795743267 E18 -------------- Searches starting with [563,881]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(563,881) = 0.8955513265814022174 D2(563,881) = 0.08802439318290170279 C1(563,881) = 1.250016446395932286 C2(563,881) = 1.453398162535177050 C3(563,881) = 10.04729174847566176 C4(563,881) = 7048 Sum = 4527.105346794434820 Averaged sum = 0.4523034615640358498 logp*logq = 42.94633411958289864 -------------- ************************************* p = 563; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.545617718878927271 E18 -------------- Searches starting with [563,883]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(563,883) = 0.7479485223998570809 D2(563,883) = 0.07859979360295999729 C1(563,883) = 1.257818030515159683 C2(563,883) = 1.311631022459653767 C3(563,883) = 10.19302259055764441 C4(563,883) = 7064 Sum = 3815.590498353689905 Averaged sum = 0.3812159554754410935 logp*logq = 42.96069530403163854 -------------- ************************************* p = 563; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.677616435521760287 E18 -------------- Searches starting with [563,887]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(563,887) = 0.7620432277157115512 D2(563,887) = 0.08812517702372022907 C1(563,887) = 1.281455041603772318 C2(563,887) = 1.311510684760162665 C3(563,887) = 10.64758442610711631 C4(563,887) = 7096 Sum = 3907.520141198202431 Averaged sum = 0.3904006535316417655 logp*logq = 42.98932034543147684 -------------- ************************************* p = 563; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.387086873898985953 E18 -------------- Searches starting with [563,907]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(563,907) = 0.6469129614204366206 D2(563,907) = 0.03901914404639625307 C1(563,907) = 0.9062049477530207350 C2(563,907) = 2.057855981398690873 C3(563,907) = 5.326474609249084317 C4(563,907) = 7256 Sum = 4132.888723983240548 Averaged sum = 0.4129172468761355328 logp*logq = 43.13053644404351230 -------------- ************************************* p = 563; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.539332645531056771 E18 -------------- Searches starting with [563,911]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(563,911) = 0.6195369801795828040 D2(563,911) = 0.06611650106312691568 C1(563,911) = 0.8769401779984096221 C2(563,911) = 2.085656426366569138 C3(563,911) = 5.046385024592847606 C4(563,911) = 7288 Sum = 3709.487172260285179 Averaged sum = 0.3706151635788075911 logp*logq = 43.15840570630051716 -------------- ************************************* p = 563; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.854715013294703154 E18 -------------- Searches starting with [563,919]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(563,919) = 0.7321648570772597147 D2(563,919) = 0.07825915817067001557 C1(563,919) = 1.244258024307204698 C2(563,919) = 1.330735935650569493 C3(563,919) = 9.941064625056149948 C4(563,919) = 7352 Sum = 3949.235179927130224 Averaged sum = 0.3945684064269287865 logp*logq = 43.21377899568353561 -------------- ************************************* p = 563; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.270085419823175647 E18 -------------- Searches starting with [563,929]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(563,929) = 0.6181603361111885394 D2(563,929) = 0.08511679165484049170 C1(563,929) = 0.9254148029770935451 C2(563,929) = 1.846870721502846266 C3(563,929) = 5.518728534376175917 C4(563,929) = 7432 Sum = 3654.063511494114055 Averaged sum = 0.3650777811463796638 logp*logq = 43.28232165202111563 -------------- ************************************* p = 563; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.619997281635858998 E18 -------------- Searches starting with [563,937]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(563,937) = 0.6578457548501000228 D2(563,937) = 0.07463438462097861103 C1(563,937) = 0.9251122199246980604 C2(563,937) = 1.702650274463208255 C3(563,937) = 5.515647111632411247 C4(563,937) = 7496 Sum = 3952.087908551635897 Averaged sum = 0.3948534227746663900 logp*logq = 43.33662663321263053 -------------- ************************************* p = 563; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.801028339013822054 E18 -------------- Searches starting with [563,941]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(563,941) = 0.9327514765944851871 D2(563,941) = 0.004728875609434193396 C1(563,941) = 1.399475771320527405 C2(563,941) = 2.070209983398816671 C3(563,941) = 13.23914358004093439 C4(563,941) = 7528 Sum = 3679.617427848148496 Averaged sum = 0.3676308749973172640 logp*logq = 43.36360550096689731 -------------- ************************************* p = 563; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.080381982146111044 E18 -------------- Searches starting with [563,947]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(563,947) = 0.6000914642463047557 D2(563,947) = 0.03866610549052357766 C1(563,947) = 0.8226590778895637493 C2(563,947) = 2.105174245616862804 C3(563,947) = 4.565276615951079468 C4(563,947) = 7576 Sum = 4065.253337405287337 Averaged sum = 0.4061597899295921008 logp*logq = 43.40385953242360293 -------------- ************************************* p = 563; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.369336332658756996 E18 -------------- Searches starting with [563,953]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(563,953) = 0.9184634203107869520 D2(563,953) = 0.04681589281256675767 C1(563,953) = 1.579472597499818043 C2(563,953) = 1.186702622960587151 C3(563,953) = 18.45654931202404489 C4(563,953) = 7624 Sum = 3076.009268558161121 Averaged sum = 0.3073243349543571906 logp*logq = 43.44385932619656322 -------------- ************************************* p = 563; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.082406134694674878 E18 -------------- Searches starting with [563,967]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(563,967) = 0.5979895245747017495 D2(563,967) = 0.06670717578992254036 C1(563,967) = 0.8438949317731632444 C2(563,967) = 1.866452522638002079 C3(563,967) = 4.747777591001966777 C4(563,967) = 7736 Sum = 3949.624841856636516 Averaged sum = 0.3946073375818399956 logp*logq = 43.53622129104285899 -------------- ************************************* p = 563; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.296495721578557054 E18 -------------- Searches starting with [563,971]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(563,971) = 0.5812644428440290646 D2(563,971) = 0.06472308429115919962 C1(563,971) = 0.8137412524778763983 C2(563,971) = 1.865194982953147036 C3(563,971) = 4.490744148334636546 C4(563,971) = 7768 Sum = 4057.023501199498582 Averaged sum = 0.4053375463282544292 logp*logq = 43.56236489732347208 -------------- ************************************* p = 563; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.626573574434595899 E18 -------------- Searches starting with [563,977]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(563,977) = 0.8857455827634447147 D2(563,977) = 0.05695530094034776113 C1(563,977) = 1.393663693203237582 C2(563,977) = 1.717724823425622904 C3(563,977) = 13.09787265797381256 C4(563,977) = 7816 Sum = 3252.290403777715393 Averaged sum = 0.3249365974400754713 logp*logq = 43.60137906358217709 -------------- ************************************* p = 563; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.967641344916274282 E18 -------------- Searches starting with [563,983]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(563,983) = 1.347880330681673558 D2(563,983) = 0.05428667540679879497 C1(563,983) = 1.854315673297240776 C2(563,983) = 1.716105178336414264 C3(563,983) = 30.65297245138141895 C4(563,983) = 7864 Sum = 4283.015070570162708 Averaged sum = 0.4279163823129346296 logp*logq = 43.64015436610160611 -------------- ************************************* p = 563; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.440005348451314848 E18 -------------- Searches starting with [563,991]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(563,991) = 1.039524396616767104 D2(563,991) = 0.006764005423013076887 C1(563,991) = 1.506280515614458056 C2(563,991) = 2.127294312473714597 C3(563,991) = 16.12417995905338558 C4(563,991) = 7928 Sum = 5270.569119680730706 Averaged sum = 0.5265829872795215012 logp*logq = 43.69148822062330364 -------------- ************************************* p = 563; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.807875789277927942 E18 -------------- Searches starting with [563,997]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 35 left neighbors We generated 9975 right neighbors We generated 10009 non-negative rho_i D1(563,997) = 0.7421046331023063882 D2(563,997) = 0.03664202516399925257 C1(563,997) = 1.017343437691258133 C2(563,997) = 2.158159776940151824 C3(563,997) = 6.539306001249690939 C4(563,997) = 7976 Sum = 3915.971269467282959 Averaged sum = 0.3912450064409314576 logp*logq = 43.72971738878115231 -------------- ************************************* p = 569; q = 571; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 307446724940505426.1 -------------- Searches starting with [569,571]-exponents: u = 1, v = 1808 n_start has 4987 digits --- performed 5000 steps in the continued fraction search [569,571]-exponents: u = 1385, v = 422 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(569,571) = 1.193503096512925365 D2(569,571) = 0.4556208985075666055 C1(569,571) = 1.487480448483488299 C2(569,571) = 1.357290738404668617 C3(569,571) = 15.61303592315500968 C4(569,571) = 4568 Sum = 6045.119248020655476 Averaged sum = 0.6045723820402695745 logp*logq = 40.26707821492135861 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(569,571) = 1.193503096512925365 D2(569,571) = 0.4556208985075666055 C1(569,571) = 1.487480448483488299 C2(569,571) = 1.357290738404668617 C3(569,571) = 15.61303592315500968 C4(569,571) = 4568 Sum = 6045.119248020655476 Averaged sum = 0.6045723820402695745 logp*logq = 40.26707821492135861 -------------- ************************************* p = 569; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 328525599335850063.1 -------------- Searches starting with [569,577]-exponents: u = 1, v = 454 n_start has 1257 digits --- performed 5000 steps in the continued fraction search [569,577]-exponents: u = 61, v = 383 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(569,577) = 0.6595121294473415587 D2(569,577) = 0.1333748673584183441 C1(569,577) = 0.8585944223529976020 C2(569,577) = 1.198631076515680930 C3(569,577) = 4.885370643150036034 C4(569,577) = 4616 Sum = 5360.902060836828976 Averaged sum = 0.5361438204657294705 logp*logq = 40.33339115776213838 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(569,577) = 0.6595121294473415587 D2(569,577) = 0.1333748673584183441 C1(569,577) = 0.8585944223529976020 C2(569,577) = 1.198631076515680930 C3(569,577) = 4.885370643150036034 C4(569,577) = 4616 Sum = 5360.902060836828976 Averaged sum = 0.5361438204657294705 logp*logq = 40.33339115776213838 -------------- ************************************* p = 569; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 366360868322488526.5 -------------- Searches starting with [569,587]-exponents: u = 1, v = 203 n_start has 565 digits starting right neighbors generation We generated 4461 left neighbors We generated 5549 right neighbors We generated 10009 non-negative rho_i D1(569,587) = 0.6476377984594691413 D2(569,587) = 0.005017182367619385848 C1(569,587) = 0.8724175327750438329 C2(569,587) = 1.203145512086810255 C3(569,587) = 5.011740316905999573 C4(569,587) = 4696 Sum = 4885.370186991800498 Averaged sum = 0.4880977307415126884 logp*logq = 40.44239522157719906 -------------- ************************************* p = 569; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 390775576081901510.7 -------------- Searches starting with [569,593]-exponents: u = 1, v = 153 n_start has 428 digits starting right neighbors generation We generated 2636 left neighbors We generated 7374 right neighbors We generated 10009 non-negative rho_i D1(569,593) = 0.5779129922211604864 D2(569,593) = 0.002752715429100265272 C1(569,593) = 0.7896121485327976111 C2(569,593) = 1.252336764575253920 C3(569,593) = 4.300799997542354614 C4(569,593) = 4744 Sum = 4727.324441795380604 Averaged sum = 0.4723073675487441906 logp*logq = 40.50690981589470720 -------------- ************************************* p = 569; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 416546678473736940.3 -------------- Searches starting with [569,599]-exponents: u = 1, v = 123 n_start has 345 digits starting right neighbors generation We generated 1769 left neighbors We generated 8241 right neighbors We generated 10009 non-negative rho_i D1(569,599) = 0.5575790156049484351 D2(569,599) = 0.0003647019434314520761 C1(569,599) = 0.7712861437436856367 C2(569,599) = 1.293020955460484219 C3(569,599) = 4.157624714345523921 C4(569,599) = 4792 Sum = 4303.927762716265935 Averaged sum = 0.4300057710776567024 logp*logq = 40.57077492340408969 -------------- ************************************* p = 569; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 425448886978095860.9 -------------- Searches starting with [569,601]-exponents: u = 1, v = 115 n_start has 323 digits starting right neighbors generation We generated 1442 left neighbors We generated 8568 right neighbors We generated 10009 non-negative rho_i D1(569,601) = 0.8785777435255690001 D2(569,601) = 0.01242687306119297529 C1(569,601) = 1.219422949376939382 C2(569,601) = 1.316646007672154425 C3(569,601) = 9.515028362929407972 C4(569,601) = 4808 Sum = 5003.711067582481683 Averaged sum = 0.4999211776983196805 logp*logq = 40.59192121109775464 -------------- ************************************* p = 569; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 453123182346175099.4 -------------- Searches starting with [569,607]-exponents: u = 1, v = 98 n_start has 276 digits starting right neighbors generation We generated 1133 left neighbors We generated 8877 right neighbors We generated 10009 non-negative rho_i D1(569,607) = 0.7423006401328538500 D2(569,607) = 0.01233970606080175231 C1(569,607) = 1.040747142324673405 C2(569,607) = 1.352200031670046947 C3(569,607) = 6.839882827516152822 C4(569,607) = 4856 Sum = 4036.566794055367726 Averaged sum = 0.4032937150619809897 logp*logq = 40.65494040913762050 -------------- ************************************* p = 569; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 482298559942428211.1 -------------- Searches starting with [569,613]-exponents: u = 1, v = 85 n_start has 240 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(569,613) = 0.6918598386640731858 D2(569,613) = 0.003276402281176250765 C1(569,613) = 0.9788179871605634902 C2(569,613) = 1.376127490253223637 C3(569,613) = 6.100416616780623843 C4(569,613) = 4904 Sum = 3846.005620350598758 Averaged sum = 0.3842547327755618701 logp*logq = 40.71733973616823292 -------------- ************************************* p = 569; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 502615014171679658.1 -------------- Searches starting with [569,617]-exponents: u = 1, v = 78 n_start has 221 digits starting right neighbors generation We generated 754 left neighbors We generated 9256 right neighbors We generated 10009 non-negative rho_i D1(569,617) = 0.5802008868028847825 D2(569,617) = 0.006103382348565185198 C1(569,617) = 0.8255245173391801240 C2(569,617) = 1.398273608452789116 C3(569,617) = 4.595827453192036284 C4(569,617) = 4936 Sum = 3716.959969997089518 Averaged sum = 0.3713617714054440522 logp*logq = 40.75860089257772764 -------------- ************************************* p = 569; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 513040542866801132.4 -------------- Searches starting with [569,619]-exponents: u = 1, v = 75 n_start has 213 digits starting right neighbors generation We generated 656 left neighbors We generated 9354 right neighbors We generated 10009 non-negative rho_i D1(569,619) = 0.5823295451248433801 D2(569,619) = 0.02622646605394083897 C1(569,619) = 0.8307545159626410678 C2(569,619) = 1.425450876849538245 C3(569,619) = 4.640449283768330562 C4(569,619) = 4952 Sum = 3658.529410965801446 Averaged sum = 0.3655239695240085369 logp*logq = 40.77913126788811233 -------------- ************************************* p = 569; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 579497367055089926.7 -------------- Searches starting with [569,631]-exponents: u = 1, v = 61 n_start has 174 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(569,631) = 0.5585226422683342027 D2(569,631) = 0.01308210985079666084 C1(569,631) = 0.8085478318268790020 C2(569,631) = 1.465433309271655853 C3(569,631) = 4.453919740054961325 C4(569,631) = 5048 Sum = 4002.775236523425228 Averaged sum = 0.3999175978143096441 logp*logq = 40.90093751420318976 -------------- ************************************* p = 569; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 640282651630338314.2 -------------- Searches starting with [569,641]-exponents: u = 1, v = 53 n_start has 152 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(569,641) = 0.7937482498866086972 D2(569,641) = 0.02472714540931715378 C1(569,641) = 1.066326398407473653 C2(569,641) = 1.513663095601472259 C3(569,641) = 7.170877536310578646 C4(569,641) = 5128 Sum = 3230.195705265945346 Averaged sum = 0.3227291143237032017 logp*logq = 41.00068611694116502 -------------- ************************************* p = 569; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 653062348891293492.2 -------------- Searches starting with [569,643]-exponents: u = 1, v = 51 n_start has 146 digits starting right neighbors generation We generated 302 left neighbors We generated 9708 right neighbors We generated 10009 non-negative rho_i D1(569,643) = 0.7342346703074243887 D2(569,643) = 0.03524942069074454912 C1(569,643) = 1.075895109475325666 C2(569,643) = 1.530088211257332020 C3(569,643) = 7.298772192723081338 C4(569,643) = 5144 Sum = 4645.002078591078699 Averaged sum = 0.4640825335788868717 logp*logq = 41.02044900032023322 -------------- ************************************* p = 569; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 679267237788588332.5 -------------- Searches starting with [569,647]-exponents: u = 1, v = 49 n_start has 141 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(569,647) = 0.5783447804628503854 D2(569,647) = 0.0006249991080135520446 C1(569,647) = 0.7913069347905035973 C2(569,647) = 1.513752905083063647 C3(569,647) = 4.314287344018859666 C4(569,647) = 5176 Sum = 4085.501191080838681 Averaged sum = 0.4081827546289178420 logp*logq = 41.05979102057432236 -------------- ************************************* p = 569; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 720232400057934918.0 -------------- Searches starting with [569,653]-exponents: u = 1, v = 46 n_start has 133 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(569,653) = 0.8103660986896942365 D2(569,653) = 0.05089368774102833277 C1(569,653) = 1.199223035695750270 C2(569,653) = 1.577838278757432738 C3(569,653) = 9.166479798815222494 C4(569,653) = 5224 Sum = 2936.853807689532415 Averaged sum = 0.2934213015975154775 logp*logq = 41.11835033269746320 -------------- ************************************* p = 569; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 763259164648183049.1 -------------- Searches starting with [569,659]-exponents: u = 1, v = 43 n_start has 124 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(569,659) = 0.6222443281713481256 D2(569,659) = 0.02865506321567566552 C1(569,659) = 0.9260406302418618232 C2(569,659) = 1.577311500558206496 C3(569,659) = 5.533670806289456260 C4(569,659) = 5272 Sum = 3513.908180127725236 Averaged sum = 0.3510748506471900526 logp*logq = 41.17637403385375855 -------------- ************************************* p = 569; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 778073920963825038.9 -------------- Searches starting with [569,661]-exponents: u = 1, v = 42 n_start has 122 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(569,661) = 0.9057154522270696601 D2(569,661) = 0.01651669368973039941 C1(569,661) = 1.249483089595769668 C2(569,661) = 1.572894856692071872 C3(569,661) = 10.05840204100226390 C4(569,661) = 5288 Sum = 4218.345482334769991 Averaged sum = 0.4214552385188100700 logp*logq = 41.19559792866784399 -------------- ************************************* p = 569; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 872146482078325425.6 -------------- Searches starting with [569,673]-exponents: u = 1, v = 37 n_start has 108 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(569,673) = 0.6051974993060389021 D2(569,673) = 0.02162091033319955207 C1(569,673) = 0.9103914121013806531 C2(569,673) = 1.612590856861468906 C3(569,673) = 5.375973156140784660 C4(569,673) = 5384 Sum = 4029.095641247714336 Averaged sum = 0.4025472715803491193 logp*logq = 41.30973378874670368 -------------- ************************************* p = 569; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 905557584442431411.6 -------------- Searches starting with [569,677]-exponents: u = 1, v = 36 n_start has 105 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(569,677) = 1.115662667104595677 D2(569,677) = 0.03286290713385968320 C1(569,677) = 1.593064644951859619 C2(569,677) = 1.633509577700904039 C3(569,677) = 18.97594293904166938 C4(569,677) = 5416 Sum = 5117.782456104692601 Averaged sum = 0.5113180593570479169 logp*logq = 41.34732726429543895 -------------- ************************************* p = 569; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 957692407019570340.8 -------------- Searches starting with [569,683]-exponents: u = 1, v = 34 n_start has 100 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(569,683) = 0.7105452935397713944 D2(569,683) = 0.003905068698676994366 C1(569,683) = 0.9750560479221527786 C2(569,683) = 1.624652299852698587 C3(569,683) = 6.058164819550500885 C4(569,683) = 5464 Sum = 4139.086682448883392 Averaged sum = 0.4135364854080211202 logp*logq = 41.40330304305721083 -------------- ************************************* p = 569; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.031120040806254198 E18 -------------- Searches starting with [569,691]-exponents: u = 1, v = 32 n_start has 94 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(569,691) = 0.7969927330473842867 D2(569,691) = 0.07432188294784274747 C1(569,691) = 1.116038921927804898 C2(569,691) = 1.706795099896056851 C3(569,691) = 7.860666968412365804 C4(569,691) = 5528 Sum = 4364.315743429657355 Averaged sum = 0.4360391391177597518 logp*logq = 41.47717730358189844 -------------- ************************************* p = 569; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.129522418762645287 E18 -------------- Searches starting with [569,701]-exponents: u = 1, v = 30 n_start has 89 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(569,701) = 0.6982657417182579935 D2(569,701) = 0.08190386993880173716 C1(569,701) = 0.9534039463317660555 C2(569,701) = 1.738055576760297728 C3(569,701) = 5.820608818130449973 C4(569,701) = 5608 Sum = 3875.563683502655001 Averaged sum = 0.3872078812571340794 logp*logq = 41.56832657901720271 -------------- ************************************* p = 569; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.213832820244397290 E18 -------------- Searches starting with [569,709]-exponents: u = 1, v = 28 n_start has 83 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(569,709) = 0.6932484067794573255 D2(569,709) = 0.02768581371857685723 C1(569,709) = 0.9401495703452920431 C2(569,709) = 1.709367548649045750 C3(569,709) = 5.679808564109454109 C4(569,709) = 5672 Sum = 3842.234114322708946 Averaged sum = 0.3838779213030981063 logp*logq = 41.64031464719914943 -------------- ************************************* p = 569; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.326619917244430767 E18 -------------- Searches starting with [569,719]-exponents: u = 1, v = 27 n_start has 80 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(569,719) = 0.7629184294608328177 D2(569,719) = 0.08763317304103219823 C1(569,719) = 1.017642089541322670 C2(569,719) = 1.784283411750228624 C3(569,719) = 6.554056902367609576 C4(569,719) = 5752 Sum = 3295.959284076016328 Averaged sum = 0.3292995588046774231 logp*logq = 41.72916596564221020 -------------- ************************************* p = 569; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.423089324116779350 E18 -------------- Searches starting with [569,727]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(569,727) = 0.6973244079955116475 D2(569,727) = 0.1047149383421670541 C1(569,727) = 1.088211568723703881 C2(569,727) = 1.816665849127575804 C3(569,727) = 7.466756373091137926 C4(569,727) = 5816 Sum = 3758.652441422840929 Averaged sum = 0.3755272695996444130 logp*logq = 41.79936176272181923 -------------- ************************************* p = 569; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.499260318353833609 E18 -------------- Searches starting with [569,733]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(569,733) = 0.8610695242722489548 D2(569,733) = 0.07679973410645823718 C1(569,733) = 1.349346690675108531 C2(569,733) = 1.804470064051112426 C3(569,733) = 12.09636963223426731 C4(569,733) = 5864 Sum = 1963.060815647980108 Averaged sum = 0.1961295649563373073 logp*logq = 41.85150353927934878 -------------- ************************************* p = 569; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.578837107887005468 E18 -------------- Searches starting with [569,739]-exponents: u = 1, v = 24 n_start has 72 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(569,739) = 0.6200215499304275524 D2(569,739) = 0.04260604687398218464 C1(569,739) = 0.8682254672158387824 C2(569,739) = 1.786909844450639650 C3(569,739) = 4.973075300835622696 C4(569,739) = 5912 Sum = 4134.910237683941075 Averaged sum = 0.4131192164735678963 logp*logq = 41.90322024227862933 -------------- ************************************* p = 569; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.633840894889914827 E18 -------------- Searches starting with [569,743]-exponents: u = 1, v = 23 n_start has 69 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(569,743) = 0.5525929364658545732 D2(569,743) = 0.1004814875297175292 C1(569,743) = 0.7747678151726526203 C2(569,743) = 1.845583157144989869 C3(569,743) = 4.184454229971374470 C4(569,743) = 5944 Sum = 3988.714637443343176 Averaged sum = 0.3985128022223342168 logp*logq = 41.93746529404131674 -------------- ************************************* p = 569; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.748702504157157502 E18 -------------- Searches starting with [569,751]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(569,751) = 0.8277572231525365818 D2(569,751) = 0.07962767374120150528 C1(569,751) = 1.126560750059179245 C2(569,751) = 1.842777971363004566 C3(569,751) = 8.014965149006436682 C4(569,751) = 6008 Sum = 3961.577129115649451 Averaged sum = 0.3958014915691527077 logp*logq = 42.00540576064000026 -------------- ************************************* p = 569; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.839246837366085190 E18 -------------- Searches starting with [569,757]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(569,757) = 0.5476574463805915642 D2(569,757) = 0.02486818062253768499 C1(569,757) = 0.8703918816789076835 C2(569,757) = 1.806815241639269613 C3(569,757) = 4.993019574943090722 C4(569,757) = 6056 Sum = 4047.125172914089765 Averaged sum = 0.4043486035482155824 logp*logq = 42.05588783419790810 -------------- ************************************* p = 569; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.901777685407396628 E18 -------------- Searches starting with [569,761]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(569,761) = 0.5853897001060168365 D2(569,761) = 0.07386757149960115466 C1(569,761) = 0.9303120362697461337 C2(569,761) = 1.856603105406067613 C3(569,761) = 5.577511875860999320 C4(569,761) = 6088 Sum = 4058.697765437331700 Averaged sum = 0.4055048222037497952 logp*logq = 42.08932074654062820 -------------- ************************************* p = 569; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.032224306220537444 E18 -------------- Searches starting with [569,769]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(569,769) = 0.8065260838352389265 D2(569,769) = 0.03103682427577583747 C1(569,769) = 1.288600715706602881 C2(569,769) = 1.834253079007135527 C3(569,769) = 10.81222844680641124 C4(569,769) = 6152 Sum = 2587.733969608165904 Averaged sum = 0.2585407103215272159 logp*logq = 42.15566258443642592 -------------- ************************************* p = 569; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.100222862127582609 E18 -------------- Searches starting with [569,773]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(569,773) = 0.5632616088916669131 D2(569,773) = 0.07790826309505422803 C1(569,773) = 0.7703964211813492207 C2(569,773) = 1.881905817974253866 C3(569,773) = 4.150796215384562259 C4(569,773) = 6184 Sum = 3825.707027080750458 Averaged sum = 0.3822266986792637085 logp*logq = 42.18857513781401740 -------------- ************************************* p = 569; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.353517556403009539 E18 -------------- Searches starting with [569,787]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(569,787) = 0.5836921158902339877 D2(569,787) = 0.08741747103993251421 C1(569,787) = 0.8740886258148137339 C2(569,787) = 1.914520750691652695 C3(569,787) = 5.027237116395289660 C4(569,787) = 6296 Sum = 3818.546950223980654 Averaged sum = 0.3815113348210591122 logp*logq = 42.30244271542365921 -------------- ************************************* p = 569; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.549791538257682765 E18 -------------- Searches starting with [569,797]-exponents: u = 1, v = 18 n_start has 55 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(569,797) = 0.6345985512144975009 D2(569,797) = 0.03428033184758690671 C1(569,797) = 0.8799186153141530399 C2(569,797) = 1.885388967311595923 C3(569,797) = 5.081677396154680962 C4(569,797) = 6376 Sum = 4110.339388120075273 Averaged sum = 0.4106643409051928537 logp*logq = 42.38254328001859851 -------------- ************************************* p = 569; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.803352624712050821 E18 -------------- Searches starting with [569,809]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(569,809) = 0.9741417225954320813 D2(569,809) = 0.1059695073523337340 C1(569,809) = 1.585383840315231821 C2(569,809) = 1.183197486653114898 C3(569,809) = 18.70857174933356423 C4(569,809) = 6472 Sum = 1484.835521632796285 Averaged sum = 0.1483500371298627520 logp*logq = 42.47734774077164071 -------------- ************************************* p = 569; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.847609804007003090 E18 -------------- Searches starting with [569,811]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(569,811) = 0.8006926023879322091 D2(569,811) = 0.008412541203376229642 C1(569,811) = 1.082902500518691143 C2(569,811) = 1.886223334587484201 C3(569,811) = 7.393877039240115434 C4(569,811) = 6488 Sum = 3912.850330058694715 Averaged sum = 0.3909331931320506260 logp*logq = 42.49301165103621958 -------------- ************************************* p = 569; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.077829321932186771 E18 -------------- Searches starting with [569,821]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(569,821) = 0.6573558411334721728 D2(569,821) = 0.1049345270121847890 C1(569,821) = 0.8904806941766390014 C2(569,821) = 1.984631992227979367 C3(569,821) = 5.181811704297731026 C4(569,821) = 6568 Sum = 3554.434678164522044 Averaged sum = 0.3551238563457410374 logp*logq = 42.57075625680784642 -------------- ************************************* p = 569; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.125704890553318991 E18 -------------- Searches starting with [569,823]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(569,823) = 0.6050713038435694951 D2(569,823) = 0.1237096039872052909 C1(569,823) = 0.8528873945462207477 C2(569,823) = 1.472304498071674694 C3(569,823) = 4.834131455757759190 C4(569,823) = 6584 Sum = 3796.345386606907708 Averaged sum = 0.3792931748033677398 logp*logq = 42.58619149662229467 -------------- ************************************* p = 569; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.223340006777702265 E18 -------------- Searches starting with [569,827]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(569,827) = 0.9180068807207587278 D2(569,827) = 0.1091805946033472113 C1(569,827) = 1.504785765571448496 C2(569,827) = 1.262714540970801982 C3(569,827) = 16.12027203727127231 C4(569,827) = 6616 Sum = 3718.243853077724277 Averaged sum = 0.3714900442679312895 logp*logq = 42.61694976504279895 -------------- ************************************* p = 569; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.273112873879156071 E18 -------------- Searches starting with [569,829]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(569,829) = 1.046509538336249631 D2(569,829) = 0.1451049878129805956 C1(569,829) = 1.446942625098832450 C2(569,829) = 1.466549194943454545 C3(569,829) = 14.48643873662230985 C4(569,829) = 6632 Sum = 4407.407417822225000 Averaged sum = 0.4403444317936082526 logp*logq = 42.63227315518421402 -------------- ************************************* p = 569; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.531801586779481723 E18 -------------- Searches starting with [569,839]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(569,839) = 0.9769990394508441640 D2(569,839) = 0.08349704918260221740 C1(569,839) = 1.433817574312424863 C2(569,839) = 1.992866606388368135 C3(569,839) = 14.13939034367969001 C4(569,839) = 6712 Sum = 4872.297603150252566 Averaged sum = 0.4867916478319764778 logp*logq = 42.70833977917311291 -------------- ************************************* p = 569; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.922746216924754907 E18 -------------- Searches starting with [569,853]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(569,853) = 1.052823780466706041 D2(569,853) = 0.007796792855726320358 C1(569,853) = 1.550030907193502046 C2(569,853) = 1.948736451453365277 C3(569,853) = 17.52568621000661483 C4(569,853) = 6824 Sum = 4292.293389094309164 Averaged sum = 0.4288433798675501212 logp*logq = 42.81332364795573394 -------------- ************************************* p = 569; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.040914391877904115 E18 -------------- Searches starting with [569,857]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(569,857) = 0.8908948227030557501 D2(569,857) = 0.03817764947371276138 C1(569,857) = 1.361627350698039625 C2(569,857) = 1.979850053800356600 C3(569,857) = 12.37395402438177282 C4(569,857) = 6856 Sum = 3751.272883943672142 Averaged sum = 0.3747899774146939896 logp*logq = 42.84300267487930795 -------------- ************************************* p = 569; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.101113850884495067 E18 -------------- Searches starting with [569,859]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(569,859) = 0.8829773059576972541 D2(569,859) = 0.05419821132944345701 C1(569,859) = 1.253160894327435473 C2(569,859) = 1.996235700155275762 C3(569,859) = 10.12697867933146738 C4(569,859) = 6872 Sum = 4399.226994026306084 Averaged sum = 0.4395271249901394829 logp*logq = 42.85779028165465262 -------------- ************************************* p = 569; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.223781477213657769 E18 -------------- Searches starting with [569,863]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(569,863) = 0.5633809971050948062 D2(569,863) = 0.08824598374805075953 C1(569,863) = 0.8127208522651532648 C2(569,863) = 2.031011084811529580 C3(569,863) = 4.488390459050118757 C4(569,863) = 6904 Sum = 3769.208396600647963 Averaged sum = 0.3765819159357226459 logp*logq = 42.88726248534436222 -------------- ************************************* p = 569; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.677755714554019212 E18 -------------- Searches starting with [569,877]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(569,877) = 0.9719551646967563413 D2(569,877) = 0.1177885940165866497 C1(569,877) = 1.438347171495823731 C2(569,877) = 1.817304087947702757 C3(569,877) = 14.25821072776429315 C4(569,877) = 7016 Sum = 4746.190741212218668 Averaged sum = 0.4741923010502766178 logp*logq = 42.98935012063016160 -------------- ************************************* p = 569; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.814764440153456684 E18 -------------- Searches starting with [569,881]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(569,881) = 0.8783335769586710261 D2(569,881) = 0.01478809986986666338 C1(569,881) = 1.350885186754378586 C2(569,881) = 1.992983252056331466 C3(569,881) = 12.13080074393908050 C4(569,881) = 7048 Sum = 3707.311065515925426 Averaged sum = 0.3703977485778724574 logp*logq = 43.01821879585967737 -------------- ************************************* p = 569; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.884526466362989165 E18 -------------- Searches starting with [569,883]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(569,883) = 0.5743344230291605167 D2(569,883) = 0.02862061309164425417 C1(569,883) = 0.8009588180789639277 C2(569,883) = 2.007174334278333229 C3(569,883) = 4.391908703902478316 C4(569,883) = 7064 Sum = 3903.006572711159743 Averaged sum = 0.3899497025388310264 logp*logq = 43.03260401842753064 -------------- ************************************* p = 569; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.026607479783548966 E18 -------------- Searches starting with [569,887]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(569,887) = 0.6949652775533491959 D2(569,887) = 0.05764117608948994287 C1(569,887) = 0.9697337793443873753 C2(569,887) = 2.036909592799110676 C3(569,887) = 5.998887754501247021 C4(569,887) = 7096 Sum = 4052.997461018843753 Averaged sum = 0.4049353043279891850 logp*logq = 43.06127697315633217 -------------- ************************************* p = 569; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.790379126678655523 E18 -------------- Searches starting with [569,907]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(569,907) = 0.6992567753551918786 D2(569,907) = 0.1013504471889983978 C1(569,907) = 1.000361865874011413 C2(569,907) = 1.831196004742540063 C3(569,907) = 6.348123014165341153 C4(569,907) = 7256 Sum = 4231.179230005531672 Averaged sum = 0.4227374592871946920 logp*logq = 43.20272944289856771 -------------- ************************************* p = 569; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.954300190120928686 E18 -------------- Searches starting with [569,911]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(569,911) = 0.7470451888695389605 D2(569,911) = 0.09158592580989089992 C1(569,911) = 1.156916807400339119 C2(569,911) = 1.691688630169243804 C3(569,911) = 8.477308194743154727 C4(569,911) = 7288 Sum = 3204.006929119658569 Averaged sum = 0.3201125915795442670 logp*logq = 43.23064535344200929 -------------- ************************************* p = 569; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.293892093586308765 E18 -------------- Searches starting with [569,919]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(569,919) = 0.6172177459515122521 D2(569,919) = 0.04900989369696784491 C1(569,919) = 0.8356523512820392950 C2(569,919) = 2.069946736278609137 C3(569,919) = 4.682629892044786287 C4(569,919) = 7352 Sum = 3481.299910680135901 Averaged sum = 0.3478169558077865821 logp*logq = 43.28611132805796508 -------------- ************************************* p = 569; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.741193854322672029 E18 -------------- Searches starting with [569,929]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(569,929) = 0.7852065414429031308 D2(569,929) = 0.07317044320109023424 C1(569,929) = 1.334895901051273397 C2(569,929) = 1.293079970865012030 C3(569,929) = 11.77769724027171511 C4(569,929) = 7432 Sum = 3891.320368284482231 Averaged sum = 0.3887821329088302758 logp*logq = 43.35476871285288579 -------------- ************************************* p = 569; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.118043634433572449 E18 -------------- Searches starting with [569,937]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(569,937) = 0.6679541775969061912 D2(569,937) = 0.08610985679790774004 C1(569,937) = 0.9383203117421238588 C2(569,937) = 1.849045390038695531 C3(569,937) = 5.660645833255462367 C4(569,937) = 7496 Sum = 4145.589570026239915 Averaged sum = 0.4141861894321350699 logp*logq = 43.40916459111566872 -------------- ************************************* p = 569; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.313024546926945441 E18 -------------- Searches starting with [569,941]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(569,941) = 0.5965413536429040544 D2(569,941) = 0.08396878430310951639 C1(569,941) = 0.8577378388982072800 C2(569,941) = 1.847642522346025497 C3(569,941) = 4.877645512210750118 C4(569,941) = 7528 Sum = 4021.785063944781482 Averaged sum = 0.4018168712103887982 logp*logq = 43.43618861679120137 -------------- ************************************* p = 569; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.613921535284842651 E18 -------------- Searches starting with [569,947]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(569,947) = 0.7109735674266641131 D2(569,947) = 0.07460528004719758913 C1(569,947) = 0.9738235199741750352 C2(569,947) = 1.704072371865166510 C3(569,947) = 6.044385564530095656 C4(569,947) = 7576 Sum = 3937.146506725560380 Averaged sum = 0.3933606261090578859 logp*logq = 43.47651002647888808 -------------- ************************************* p = 569; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.925180527827178006 E18 -------------- Searches starting with [569,953]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(569,953) = 0.8405411860928839257 D2(569,953) = 0.01045498109189492025 C1(569,953) = 1.158083601690897207 C2(569,953) = 2.077983637771437840 C3(569,953) = 8.495601942623982862 C4(569,953) = 7624 Sum = 3985.928947150258956 Averaged sum = 0.3982344836797141529 logp*logq = 43.51657677293326935 -------------- ************************************* p = 569; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.693378654611741738 E18 -------------- Searches starting with [569,967]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(569,967) = 0.8850496078149548402 D2(569,967) = 0.05280575536625295915 C1(569,967) = 1.522536215115252524 C2(569,967) = 1.215699599269718689 C3(569,967) = 16.65768051128996207 C4(569,967) = 7736 Sum = 3559.872912260111068 Averaged sum = 0.3556671907543322078 logp*logq = 43.60909333560681566 -------------- ************************************* p = 569; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.924042400376151993 E18 -------------- Searches starting with [569,971]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(569,971) = 0.5964715119374011477 D2(569,971) = 0.06981924189376816361 C1(569,971) = 1.026100085453196158 C2(569,971) = 1.869973373253426814 C3(569,971) = 6.657275392194616447 C4(569,971) = 7768 Sum = 4119.406168458600838 Averaged sum = 0.4115702036625637764 logp*logq = 43.63528070172660283 -------------- ************************************* p = 569; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.279693302990679354 E18 -------------- Searches starting with [569,977]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(569,977) = 0.5875455128282337266 D2(569,977) = 0.06683629193202313668 C1(569,977) = 0.8636220572129357282 C2(569,977) = 1.868074529138132145 C3(569,977) = 4.930959849153549512 C4(569,977) = 7816 Sum = 3864.551660699190831 Averaged sum = 0.3861076691676681817 logp*logq = 43.67436017089809910 -------------- ************************************* p = 569; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.647209500702241565 E18 -------------- Searches starting with [569,983]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(569,983) = 0.7830096100672830565 D2(569,983) = 0.06389734465122376522 C1(569,983) = 1.132168158490176146 C2(569,983) = 1.866212931606518233 C3(569,983) = 8.098428839287081669 C4(569,983) = 7864 Sum = 4336.342214930107413 Averaged sum = 0.4332443016215513451 logp*logq = 43.71320037651406209 -------------- ************************************* p = 569; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.015624189060445444 E19 -------------- Searches starting with [569,991]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(569,991) = 0.6146123589653724183 D2(569,991) = 0.05535493949927726654 C1(569,991) = 0.8688719547098458209 C2(569,991) = 1.718207592648877036 C3(569,991) = 4.979018589049783964 C4(569,991) = 7928 Sum = 3863.995999193299286 Averaged sum = 0.3860521529816464468 logp*logq = 43.76462015495895307 -------------- ************************************* p = 569; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.055269880582608990 E19 -------------- Searches starting with [569,997]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(569,997) = 0.5958600610457841900 D2(569,997) = 0.04999978289094706096 C1(569,997) = 0.9007260010701663585 C2(569,997) = 1.627510743906768380 C3(569,997) = 5.280827735652548620 C4(569,997) = 7976 Sum = 3646.816348326371729 Averaged sum = 0.3643537164877981546 logp*logq = 43.80291331207962464 -------------- ************************************* p = 571; q = 577; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 335936785616784369.4 -------------- Searches starting with [571,577]-exponents: u = 1, v = 607 n_start has 1679 digits --- performed 5000 steps in the continued fraction search [571,577]-exponents: u = 172, v = 428 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(571,577) = 0.7311394806525931872 D2(571,577) = 0.2134137466998925894 C1(571,577) = 0.9419258910985671227 C2(571,577) = 1.238202191856805422 C3(571,577) = 5.701447535173285116 C4(571,577) = 4616 Sum = 5520.658480936118378 Averaged sum = 0.5521210601996318010 logp*logq = 40.35569939912842275 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(571,577) = 0.7311394806525931872 D2(571,577) = 0.2134137466998925894 C1(571,577) = 0.9419258910985671227 C2(571,577) = 1.238202191856805422 C3(571,577) = 5.701447535173285116 C4(571,577) = 4616 Sum = 5520.658480936118378 Averaged sum = 0.5521210601996318010 logp*logq = 40.35569939912842275 -------------- ************************************* p = 571; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 374648164573579539.5 -------------- Searches starting with [571,587]-exponents: u = 1, v = 229 n_start has 637 digits --- performed 5000 steps in the continued fraction search [571,587]-exponents: u = 193, v = 15 --- starting right neighbors generation We generated 5680 left neighbors We generated 4330 right neighbors We generated 10009 non-negative rho_i D1(571,587) = 0.6485832904456197743 D2(571,587) = 0.003099446424686791450 C1(571,587) = 0.8688181658143365123 C2(571,587) = 1.181356931868129482 C3(571,587) = 4.980916119011623564 C4(571,587) = 4696 Sum = 4949.234677147534519 Averaged sum = 0.4944784371213442420 logp*logq = 40.46476375266611005 -------------- ************************************* p = 571; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 399629406874385453.3 -------------- Searches starting with [571,593]-exponents: u = 1, v = 167 n_start has 466 digits starting right neighbors generation We generated 3039 left neighbors We generated 6971 right neighbors We generated 10009 non-negative rho_i D1(571,593) = 0.7952642982366010716 D2(571,593) = 0.004858362716258122534 C1(571,593) = 1.081757884689331405 C2(571,593) = 1.237940362470720343 C3(571,593) = 7.382672601732880515 C4(571,593) = 4744 Sum = 4875.467316004362175 Averaged sum = 0.4871083340997464457 logp*logq = 40.52931402975415572 -------------- ************************************* p = 571; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 425999454560769241.0 -------------- Searches starting with [571,599]-exponents: u = 1, v = 132 n_start has 370 digits starting right neighbors generation We generated 1904 left neighbors We generated 8106 right neighbors We generated 10009 non-negative rho_i D1(571,599) = 0.5811589237570993778 D2(571,599) = 0.01311859448684601281 C1(571,599) = 0.8004407014459576334 C2(571,599) = 1.290452554005263917 C3(571,599) = 4.389649132781999183 C4(571,599) = 4792 Sum = 4663.300205076307233 Averaged sum = 0.4659107008768415658 logp*logq = 40.59321446080545488 -------------- ************************************* p = 571; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 435108771613507720.8 -------------- Searches starting with [571,601]-exponents: u = 1, v = 123 n_start has 345 digits starting right neighbors generation We generated 1658 left neighbors We generated 8352 right neighbors We generated 10009 non-negative rho_i D1(571,601) = 0.9219039447776745398 D2(571,601) = 0.009152146746061290821 C1(571,601) = 1.274763920220761981 C2(571,601) = 1.300431746099179480 C3(571,601) = 10.54676606839311675 C4(571,601) = 4808 Sum = 5034.665559571713553 Averaged sum = 0.5030138434980231345 logp*logq = 40.61437244442838167 -------------- ************************************* p = 571; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 463427569056947301.5 -------------- Searches starting with [571,607]-exponents: u = 1, v = 103 n_start has 290 digits starting right neighbors generation We generated 1193 left neighbors We generated 8817 right neighbors We generated 10009 non-negative rho_i D1(571,607) = 0.6909852590576222383 D2(571,607) = 0.01009643965099560616 C1(571,607) = 0.9653689615364044508 C2(571,607) = 1.338369658116692783 C3(571,607) = 5.953884787463203493 C4(571,607) = 4856 Sum = 4707.179699945365689 Averaged sum = 0.4702947047602523418 logp*logq = 40.67742649814093531 -------------- ************************************* p = 571; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 493283442587221807.8 -------------- Searches starting with [571,613]-exponents: u = 1, v = 89 n_start has 251 digits starting right neighbors generation We generated 945 left neighbors We generated 9065 right neighbors We generated 10009 non-negative rho_i D1(571,613) = 0.6545972538798966295 D2(571,613) = 0.007725004157638958990 C1(571,613) = 0.8873037929857616551 C2(571,613) = 1.369293299170739440 C3(571,613) = 5.154015287561187721 C4(571,613) = 4904 Sum = 3924.925018381343014 Averaged sum = 0.3921395762195367184 logp*logq = 40.73986033799599752 -------------- ************************************* p = 571; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 514074358266150022.8 -------------- Searches starting with [571,617]-exponents: u = 1, v = 81 n_start has 229 digits starting right neighbors generation We generated 784 left neighbors We generated 9226 right neighbors We generated 10009 non-negative rho_i D1(571,617) = 0.8170648816421391183 D2(571,617) = 0.0005807549357424505224 C1(571,617) = 1.158777028154555166 C2(571,617) = 1.383252563067047868 C3(571,617) = 8.511944801996900476 C4(571,617) = 4936 Sum = 4988.201607018425142 Averaged sum = 0.4983716262382281089 logp*logq = 40.78114431579020137 -------------- ************************************* p = 571; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 524743541815384878.8 -------------- Searches starting with [571,619]-exponents: u = 1, v = 78 n_start has 221 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(571,619) = 0.5649461640430590452 D2(571,619) = 0.02605670336115249729 C1(571,619) = 0.8032023908307161858 C2(571,619) = 1.415416014002460482 C3(571,619) = 4.412109951253493808 C4(571,619) = 4952 Sum = 4455.297065080309368 Averaged sum = 0.4451290903267368736 logp*logq = 40.80168604637111049 -------------- ************************************* p = 571; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 592756249627269052.0 -------------- Searches starting with [571,631]-exponents: u = 1, v = 63 n_start has 180 digits starting right neighbors generation We generated 491 left neighbors We generated 9519 right neighbors We generated 10009 non-negative rho_i D1(571,631) = 0.7790060128791803639 D2(571,631) = 0.01418185111517188930 C1(571,631) = 1.075239464244482297 C2(571,631) = 1.457750637254528530 C3(571,631) = 7.294272047700434018 C4(571,631) = 5048 Sum = 4378.788834128503541 Averaged sum = 0.4374851467807476812 logp*logq = 40.92355966324603223 -------------- ************************************* p = 571; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 654968433691489674.7 -------------- Searches starting with [571,641]-exponents: u = 1, v = 54 n_start has 155 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(571,641) = 0.7406256878381909459 D2(571,641) = 0.004239226642161492338 C1(571,641) = 1.080647790986574923 C2(571,641) = 1.487843250342954409 C3(571,641) = 7.367542562470457818 C4(571,641) = 5128 Sum = 4699.700672907718648 Averaged sum = 0.4695474745636645667 logp*logq = 41.02336343654720474 -------------- ************************************* p = 571; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 668048553509252778.2 -------------- Searches starting with [571,643]-exponents: u = 1, v = 53 n_start has 152 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(571,643) = 0.6746328273741735692 D2(571,643) = 0.01642900627395006577 C1(571,643) = 0.9403881917107000966 C2(571,643) = 1.505782845019266818 C3(571,643) = 5.685268528529391907 C4(571,643) = 5144 Sum = 4194.438188836763768 Averaged sum = 0.4190666588906747695 logp*logq = 41.04313725070000305 -------------- ************************************* p = 571; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 694869901503861031.3 -------------- Searches starting with [571,647]-exponents: u = 1, v = 50 n_start has 144 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(571,647) = 0.6310081813686451751 D2(571,647) = 0.03463409856927172174 C1(571,647) = 0.9261381965572810946 C2(571,647) = 1.535953880247907040 C3(571,647) = 5.537503395725203227 C4(571,647) = 5176 Sum = 4319.864792590871757 Averaged sum = 0.4315980410221672252 logp*logq = 41.08250103087207758 -------------- ************************************* p = 571; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 736799891005637167.5 -------------- Searches starting with [571,653]-exponents: u = 1, v = 47 n_start has 136 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(571,653) = 0.6409595170599663546 D2(571,653) = 0.04384869653846159747 C1(571,653) = 0.8789712697526702293 C2(571,653) = 1.564411632265912583 C3(571,653) = 5.075257244994272962 C4(571,653) = 5224 Sum = 3829.881774348149527 Averaged sum = 0.3826437980166000126 logp*logq = 41.14109273192239732 -------------- ************************************* p = 571; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 780841458263754524.2 -------------- Searches starting with [571,659]-exponents: u = 1, v = 44 n_start has 127 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(571,659) = 0.5677659439629126169 D2(571,659) = 0.02969209789274213390 C1(571,659) = 0.7813482598885872251 C2(571,659) = 1.571295684241105484 C3(571,659) = 4.237466790584551616 C4(571,659) = 5272 Sum = 3848.575087906729380 Averaged sum = 0.3845114484870346068 logp*logq = 41.19914852576153446 -------------- ************************************* p = 571; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 796005948117742963.4 -------------- Searches starting with [571,661]-exponents: u = 1, v = 43 n_start has 125 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(571,661) = 0.6244912229345867550 D2(571,661) = 0.02006320801514384193 C1(571,661) = 0.8604848284939538447 C2(571,661) = 1.569136575161988191 C3(571,661) = 4.904795810102947535 C4(571,661) = 5288 Sum = 4113.121112705327802 Averaged sum = 0.4109422632336225199 logp*logq = 41.21838305323687655 -------------- ************************************* p = 571; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 892302897836466512.1 -------------- Searches starting with [571,673]-exponents: u = 1, v = 38 n_start has 111 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(571,673) = 0.5665316883773817469 D2(571,673) = 0.03815712563410525218 C1(571,673) = 0.7856043386733834597 C2(571,673) = 1.620632196988632121 C3(571,673) = 4.270927662095005955 C4(571,673) = 5384 Sum = 4223.382086969657186 Averaged sum = 0.4219584460954797868 logp*logq = 41.33258204141486454 -------------- ************************************* p = 571; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 926505437766966257.6 -------------- Searches starting with [571,677]-exponents: u = 1, v = 37 n_start has 108 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(571,677) = 0.5866277489778656398 D2(571,677) = 0.05405163200292897955 C1(571,677) = 0.8021393112914077958 C2(571,677) = 1.645850843139942721 C3(571,677) = 4.403450352818434897 C4(571,677) = 5416 Sum = 3957.677393995389907 Averaged sum = 0.3954118687176930669 logp*logq = 41.37019630976832724 -------------- ************************************* p = 571; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 979876608069751999.4 -------------- Searches starting with [571,683]-exponents: u = 1, v = 35 n_start has 102 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(571,683) = 0.6220596961467307271 D2(571,683) = 0.03009002455737548274 C1(571,683) = 0.8900014967348042846 C2(571,683) = 1.641204082544167852 C3(571,683) = 5.179774655238206842 C4(571,683) = 5464 Sum = 4073.214826839152306 Averaged sum = 0.4069552229832303233 logp*logq = 41.42620304851505053 -------------- ************************************* p = 571; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.055048243915476010 E18 -------------- Searches starting with [571,691]-exponents: u = 1, v = 33 n_start has 97 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(571,691) = 0.5786022996002667334 D2(571,691) = 0.02681612420171118257 C1(571,691) = 0.7959379379611526216 C2(571,691) = 1.659289341149925286 C3(571,691) = 4.353273089562471688 C4(571,691) = 5528 Sum = 4010.379122749326099 Averaged sum = 0.4006773027025003595 logp*logq = 41.50011816860515615 -------------- ************************************* p = 571; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.155792417462422862 E18 -------------- Searches starting with [571,701]-exponents: u = 1, v = 30 n_start has 89 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(571,701) = 0.8427535225994735600 D2(571,701) = 0.03585540658817014147 C1(571,701) = 1.292137226630536251 C2(571,701) = 1.692007113409666133 C3(571,701) = 10.89088179424245274 C4(571,701) = 5608 Sum = 4451.608357282387681 Averaged sum = 0.4447605512321298512 logp*logq = 41.59131785834926027 -------------- ************************************* p = 571; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.242113133277352046 E18 -------------- Searches starting with [571,709]-exponents: u = 1, v = 29 n_start has 86 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(571,709) = 0.7827464708640514337 D2(571,709) = 0.08221373967886476413 C1(571,709) = 1.103428059012143089 C2(571,709) = 1.751636998152772798 C3(571,709) = 7.684329618747984545 C4(571,709) = 5672 Sum = 4217.388458987980223 Averaged sum = 0.4213596222387831175 logp*logq = 41.66334574285099557 -------------- ************************************* p = 571; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.357594699642772341 E18 -------------- Searches starting with [571,719]-exponents: u = 1, v = 27 n_start has 80 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(571,719) = 0.6728744286945663045 D2(571,719) = 0.04470341269587259005 C1(571,719) = 0.9804434346328618898 C2(571,719) = 1.741353651405069016 C3(571,719) = 6.122081757849176976 C4(571,719) = 5752 Sum = 4063.456359450117292 Averaged sum = 0.4059802537166667292 logp*logq = 41.75224620461180484 -------------- ************************************* p = 571; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.456373079424582105 E18 -------------- Searches starting with [571,727]-exponents: u = 1, v = 26 n_start has 78 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(571,727) = 0.5438347936481386313 D2(571,727) = 0.06104447453657058197 C1(571,727) = 0.7580672784458819263 C2(571,727) = 1.772995385321979332 C3(571,727) = 4.059019197050279932 C4(571,727) = 5816 Sum = 4077.172881896257410 Averaged sum = 0.4073506725842998711 logp*logq = 41.82248082671304484 -------------- ************************************* p = 571; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.534369839583774315 E18 -------------- Searches starting with [571,733]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(571,733) = 0.5965981100678073920 D2(571,733) = 0.03768433547575373881 C1(571,733) = 0.8223996357520724295 C2(571,733) = 1.765354665420407927 C3(571,733) = 4.571449661887261167 C4(571,733) = 5864 Sum = 3923.483529420908234 Averaged sum = 0.3919955569408440638 logp*logq = 41.87465144268385760 -------------- ************************************* p = 571; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.615856369836345848 E18 -------------- Searches starting with [571,739]-exponents: u = 1, v = 24 n_start has 72 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(571,739) = 0.6342052385048756985 D2(571,739) = 0.008013224190518329634 C1(571,739) = 0.8757624980790702559 C2(571,739) = 1.752317021767175795 C3(571,739) = 5.045250281668220689 C4(571,739) = 5912 Sum = 4132.397202708904713 Averaged sum = 0.4128681389458392160 logp*logq = 41.92639674998989391 -------------- ************************************* p = 571; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.672181512142829514 E18 -------------- Searches starting with [571,743]-exponents: u = 1, v = 24 n_start has 72 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(571,743) = 0.7027408246650993029 D2(571,743) = 0.06011041516114541390 C1(571,743) = 1.106225458939736172 C2(571,743) = 1.805212084776417754 C3(571,743) = 7.724158290816002482 C4(571,743) = 5944 Sum = 3369.143044946099855 Averaged sum = 0.3366113542757617998 logp*logq = 41.96066074255717012 -------------- ************************************* p = 571; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.789805783038471840 E18 -------------- Searches starting with [571,751]-exponents: u = 1, v = 23 n_start has 69 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(571,751) = 0.8105780307999394180 D2(571,751) = 0.04282889995488108334 C1(571,751) = 1.111575352268596811 C2(571,751) = 1.805979197576684144 C3(571,751) = 7.800904540878527820 C4(571,751) = 6008 Sum = 3954.574376049724516 Averaged sum = 0.3951018459436231907 logp*logq = 42.02863878676299045 -------------- ************************************* p = 571; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.882530924409413514 E18 -------------- Searches starting with [571,757]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(571,757) = 0.8988824831098402906 D2(571,757) = 0.1282316197735905305 C1(571,757) = 1.330341942431401404 C2(571,757) = 1.892565038133594380 C3(571,757) = 11.68761677817159948 C4(571,757) = 6056 Sum = 4358.624135025949281 Averaged sum = 0.4354704900615395425 logp*logq = 42.07914878175892454 -------------- ************************************* p = 571; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.946569342872069330 E18 -------------- Searches starting with [571,761]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(571,761) = 0.7145537055482774404 D2(571,761) = 0.03893671364164621825 C1(571,761) = 1.135733633396194806 C2(571,761) = 1.821672247548112677 C3(571,761) = 8.157071747501931382 C4(571,761) = 6088 Sum = 3404.632562477998923 Averaged sum = 0.3401571148444398964 logp*logq = 42.11260018571508726 -------------- ************************************* p = 571; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.080164637302063513 E18 -------------- Searches starting with [571,769]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(571,769) = 0.7480810590628539483 D2(571,769) = 0.0008654246791989272788 C1(571,769) = 1.076877126663680748 C2(571,769) = 1.804081679410558617 C3(571,769) = 7.316381394092924024 C4(571,769) = 6152 Sum = 3988.080213222601706 Averaged sum = 0.3984494168470977826 logp*logq = 42.17897871702272019 -------------- ************************************* p = 571; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.149806418786952983 E18 -------------- Searches starting with [571,773]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(571,773) = 0.8733458085877164324 D2(571,773) = 0.04393572646902848946 C1(571,773) = 1.395493640354482709 C2(571,773) = 1.847933281348228127 C3(571,773) = 13.18306515839089806 C4(571,773) = 6184 Sum = 3945.529807951614183 Averaged sum = 0.3941982024129897276 logp*logq = 42.21190947420523985 -------------- ************************************* p = 571; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.409232802560080546 E18 -------------- Searches starting with [571,787]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(571,787) = 0.5594222825566149657 D2(571,787) = 0.05396361225041853242 C1(571,787) = 0.7820212800123038105 C2(571,787) = 1.881066891902138713 C3(571,787) = 4.242740505819962304 C4(571,787) = 6296 Sum = 4102.197816151407053 Averaged sum = 0.4098509157909288693 logp*logq = 42.32584003152802243 -------------- ************************************* p = 571; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.610268854822592932 E18 -------------- Searches starting with [571,797]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(571,797) = 0.9198986049753357859 D2(571,797) = 0.006246295240613106388 C1(571,797) = 1.487394018296130137 C2(571,797) = 1.857354930704622123 C3(571,797) = 15.62338713368944072 C4(571,797) = 6376 Sum = 1549.085491941221119 Averaged sum = 0.1547692568629454610 logp*logq = 42.40598489943288104 -------------- ************************************* p = 571; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.869994525477686024 E18 -------------- Searches starting with [571,809]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(571,809) = 0.5359578158819318242 D2(571,809) = 0.1346054082689303835 C1(571,809) = 0.7529624429516599810 C2(571,809) = 1.987996802504910114 C3(571,809) = 4.020906637361838128 C4(571,809) = 6472 Sum = 4074.003690931696748 Averaged sum = 0.4070340384585569735 logp*logq = 42.50084179616346867 -------------- ************************************* p = 571; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.915329053219843076 E18 -------------- Searches starting with [571,811]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(571,811) = 0.7814417326548449311 D2(571,811) = 0.1191781503024536888 C1(571,811) = 1.051520157129227044 C2(571,811) = 1.326113077278613683 C3(571,811) = 6.981439139120482655 C4(571,811) = 6488 Sum = 3668.725811581242775 Averaged sum = 0.3665426927346630807 logp*logq = 42.51651437007573230 -------------- ************************************* p = 571; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.151158938613463570 E18 -------------- Searches starting with [571,821]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(571,821) = 0.7690820078464964103 D2(571,821) = 0.07285228619242856334 C1(571,821) = 1.162693023574199648 C2(571,821) = 1.952549751408223141 C3(571,821) = 8.573768589751097559 C4(571,821) = 6568 Sum = 3644.590845372277231 Averaged sum = 0.3641313663075509272 logp*logq = 42.59430197608564051 -------------- ************************************* p = 571; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.200202468397072182 E18 -------------- Searches starting with [571,823]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(571,823) = 0.5814373182942502848 D2(571,823) = 0.09345068960879099246 C1(571,823) = 0.8495823811656666562 C2(571,823) = 1.973522714626963202 C3(571,823) = 4.806961911961439257 C4(571,823) = 6584 Sum = 3907.591079579257273 Averaged sum = 0.3904077409910337969 logp*logq = 42.60974575307103927 -------------- ************************************* p = 571; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.300220749018223107 E18 -------------- Searches starting with [571,827]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(571,827) = 0.6255765185322256484 D2(571,827) = 0.1177917407878246942 C1(571,827) = 1.025618109827552592 C2(571,827) = 1.409524165246252945 C3(571,827) = 6.655123197388129580 C4(571,827) = 6616 Sum = 3836.785121700666362 Averaged sum = 0.3833335120092583037 logp*logq = 42.64052103376986277 -------------- ************************************* p = 571; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.351209164455725889 E18 -------------- Searches starting with [571,829]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(571,829) = 0.9870720748088280856 D2(571,829) = 0.09691374644849990645 C1(571,829) = 1.618203131763366719 C2(571,829) = 1.170398616556211930 C3(571,829) = 19.89582497036733840 C4(571,829) = 6632 Sum = 1402.971826551903702 Averaged sum = 0.1401710287293339696 logp*logq = 42.65585289921861034 -------------- ************************************* p = 571; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.616222314673058155 E18 -------------- Searches starting with [571,839]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(571,839) = 1.006737355877241954 D2(571,839) = 0.05460386239256467374 C1(571,839) = 1.530031974399610422 C2(571,839) = 1.963973419598330591 C3(571,839) = 16.90426180424846350 C4(571,839) = 6712 Sum = 4130.093800790178700 Averaged sum = 0.4126380058737315117 logp*logq = 42.73196159536061001 -------------- ************************************* p = 571; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.016744932782825035 E18 -------------- Searches starting with [571,853]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(571,853) = 0.5632997240377029698 D2(571,853) = 0.1336564897101136143 C1(571,853) = 0.7982485220793899246 C2(571,853) = 1.806195457426623423 C3(571,853) = 4.371901571552782648 C4(571,853) = 6824 Sum = 3799.324453924782472 Averaged sum = 0.3795908136601840815 logp*logq = 42.83700353031166227 -------------- ************************************* p = 571; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.137812633008043875 E18 -------------- Searches starting with [571,857]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(571,857) = 0.5579450282231012170 D2(571,857) = 0.01359289222092103485 C1(571,857) = 0.7687914220673547307 C2(571,857) = 1.955265296547564873 C3(571,857) = 4.140266062686349176 C4(571,857) = 6856 Sum = 3907.437383346571431 Averaged sum = 0.3903923851879879540 logp*logq = 42.86669897258929212 -------------- ************************************* p = 571; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.199489979399856808 E18 -------------- Searches starting with [571,859]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(571,859) = 0.6305487453881937832 D2(571,859) = 0.02866181979414763973 C1(571,859) = 0.8544688190995676754 C2(571,859) = 1.970699308619979944 C3(571,859) = 4.850567050197642450 C4(571,859) = 6872 Sum = 3608.257591868227116 Averaged sum = 0.3605013080096140589 logp*logq = 42.88149475833227885 -------------- ************************************* p = 571; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.325170619019881445 E18 -------------- Searches starting with [571,863]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(571,863) = 0.5592297219090791769 D2(571,863) = 0.06045712761199545053 C1(571,863) = 0.7712172229183919098 C2(571,863) = 2.003222228675474271 C3(571,863) = 4.158868482232938469 C4(571,863) = 6904 Sum = 3914.880743674603125 Averaged sum = 0.3911360519207316540 logp*logq = 42.91098326298292017 -------------- ************************************* p = 571; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.790312688118382530 E18 -------------- Searches starting with [571,877]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(571,877) = 0.6467805786016082581 D2(571,877) = 0.1197055651981286872 C1(571,877) = 0.9203342944231601536 C2(571,877) = 1.819127405392061367 C3(571,877) = 5.478426279892197771 C4(571,877) = 7016 Sum = 4224.406445323420801 Averaged sum = 0.4220607898215027276 logp*logq = 43.01312736254169776 -------------- ************************************* p = 571; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.930696870116835532 E18 -------------- Searches starting with [571,881]-exponents: u = 1, v = 14 n_start has 44 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(571,881) = 1.045446440994939405 D2(571,881) = 0.1172061157537040301 C1(571,881) = 1.420780658752149390 C2(571,881) = 1.817395927745314802 C3(571,881) = 13.81375141541305253 C4(571,881) = 7048 Sum = 3724.730606104426013 Averaged sum = 0.3721381362877835960 logp*logq = 43.04201200492290742 -------------- ************************************* p = 571; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.002178462303721685 E18 -------------- Searches starting with [571,883]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(571,883) = 0.5832048967036474906 D2(571,883) = 0.005809009459257302096 C1(571,883) = 0.8013090428667666513 C2(571,883) = 1.984362730645946277 C3(571,883) = 4.396699001739174248 C4(571,883) = 7064 Sum = 3940.762659839539087 Averaged sum = 0.3937219162593205203 logp*logq = 43.05640518390126671 -------------- ************************************* p = 571; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.147763371970160988 E18 -------------- Searches starting with [571,887]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(571,887) = 0.5995337157504471824 D2(571,887) = 0.03323688947027225933 C1(571,887) = 0.8546043095164825344 C2(571,887) = 2.012505306179892993 C3(571,887) = 4.851781746398029633 C4(571,887) = 7096 Sum = 3918.074183911720797 Averaged sum = 0.3914551087932581474 logp*logq = 43.08509399752951642 -------------- ************************************* p = 571; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.930408099911704894 E18 -------------- Searches starting with [571,907]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(571,907) = 0.7559678930174825106 D2(571,907) = 0.1031822999754567466 C1(571,907) = 1.057401921454955909 C2(571,907) = 1.832930915121370308 C3(571,907) = 7.057739617266749674 C4(571,907) = 7256 Sum = 4193.109213678167640 Averaged sum = 0.4189338808750292376 logp*logq = 43.22662470408116191 -------------- ************************************* p = 571; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.098387432559000727 E18 -------------- Searches starting with [571,911]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(571,911) = 0.5715427311934773477 D2(571,911) = 0.1008734583930547279 C1(571,911) = 0.8177251948020553645 C2(571,911) = 1.831374101114099615 C3(571,911) = 4.532128953172708540 C4(571,911) = 7288 Sum = 3850.580379132441745 Averaged sum = 0.3847117972956780643 logp*logq = 43.25455605480586488 -------------- ************************************* p = 571; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.446394830558612098 E18 -------------- Searches starting with [571,919]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(571,919) = 0.9030610699489793224 D2(571,919) = 0.02642958078074398796 C1(571,919) = 1.346777540546065664 C2(571,919) = 2.047366423362385280 C3(571,919) = 12.04805923782844952 C4(571,919) = 7352 Sum = 4477.892660482227378 Averaged sum = 0.4473866180919399918 logp*logq = 43.31005270743608705 -------------- ************************************* p = 571; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.904797034711284513 E18 -------------- Searches starting with [571,929]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(571,929) = 0.8692516006376360744 D2(571,929) = 0.06060795651843723224 C1(571,929) = 1.478011436907942294 C2(571,929) = 1.217778067817623272 C3(571,929) = 15.35482178563828878 C4(571,929) = 7432 Sum = 3245.511524927858951 Averaged sum = 0.3242593191055908633 logp*logq = 43.37874806636280322 -------------- ************************************* p = 571; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.291012001408671591 E18 -------------- Searches starting with [571,937]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(571,937) = 0.6082696077644826495 D2(571,937) = 0.08787493582667794184 C1(571,937) = 0.8320226884838093220 C2(571,937) = 1.850709758700455806 C3(571,937) = 4.653474701090368480 C4(571,937) = 7496 Sum = 3725.030433625528167 Averaged sum = 0.3721680920796811037 logp*logq = 43.43317403077373250 -------------- ************************************* p = 571; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.490842911436224752 E18 -------------- Searches starting with [571,941]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(571,941) = 0.5521950563512023352 D2(571,941) = 0.08572227514897621101 C1(571,941) = 0.7757714545884537513 C2(571,941) = 1.849295296479097100 C3(571,941) = 4.194018973416177115 C4(571,941) = 7528 Sum = 3920.059327602120011 Averaged sum = 0.3916534446600179849 logp*logq = 43.46021300333248408 -------------- ************************************* p = 571; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.799230232946778687 E18 -------------- Searches starting with [571,947]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(571,947) = 0.7532686667082102186 D2(571,947) = 0.08253693815177656593 C1(571,947) = 1.031464098951178072 C2(571,947) = 1.847211290396090812 C3(571,947) = 6.727412561443072496 C4(571,947) = 7576 Sum = 3936.153868697456425 Averaged sum = 0.3932614515633386377 logp*logq = 43.50055671463463270 -------------- ************************************* p = 571; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.118244595296207327 E18 -------------- Searches starting with [571,953]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(571,953) = 0.6361513440620235483 D2(571,953) = 0.07331621682577503713 C1(571,953) = 0.9157521410513240204 C2(571,953) = 1.703736600042105672 C3(571,953) = 5.432230729839002495 C4(571,953) = 7624 Sum = 4074.662883355519523 Averaged sum = 0.4070998984269676813 logp*logq = 43.54064562185023462 -------------- ************************************* p = 571; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.905612368386960777 E18 -------------- Searches starting with [571,967]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(571,967) = 0.8269943610345520264 D2(571,967) = 0.04910092465807939408 C1(571,967) = 1.422915323783948660 C2(571,967) = 1.250363324546102675 C3(571,967) = 13.86835366028490436 C4(571,967) = 7736 Sum = 3639.457999268808572 Averaged sum = 0.3636185432379666872 logp*logq = 43.63321335507382041 -------------- ************************************* p = 571; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.142039781694407159 E18 -------------- Searches starting with [571,971]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(571,971) = 0.8438009127762536120 D2(571,971) = 0.05503459191553353029 C1(571,971) = 1.451758670440950521 C2(571,971) = 1.243364223838147955 C3(571,971) = 14.62764587106953947 C4(571,971) = 7768 Sum = 3733.481732617709820 Averaged sum = 0.3730124620459296453 logp*logq = 43.65941520532368885 -------------- ************************************* p = 571; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.506584039132560803 E18 -------------- Searches starting with [571,977]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(571,977) = 0.9681746725232406888 D2(571,977) = 0.06852479369122119581 C1(571,977) = 1.329725652521201745 C2(571,977) = 1.869657929147142558 C3(571,977) = 11.67431297113471462 C4(571,977) = 7816 Sum = 3929.540671776985155 Averaged sum = 0.3926007265238270711 logp*logq = 43.69851628919719056 -------------- ************************************* p = 571; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.883298410745142902 E18 -------------- Searches starting with [571,983]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(571,983) = 0.6397922220961344025 D2(571,983) = 0.06557153292794505557 C1(571,983) = 0.9648439391482422835 C2(571,983) = 1.867782008573210980 C3(571,983) = 5.948110747507095111 C4(571,983) = 7864 Sum = 3376.998835168015887 Averaged sum = 0.3373962269125802665 logp*logq = 43.73737797717941945 -------------- ************************************* p = 571; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.040508388508222589 E19 -------------- Searches starting with [571,991]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(571,991) = 0.8369380771205700490 D2(571,991) = 0.06170075529939184211 C1(571,991) = 1.317460289531197899 C2(571,991) = 1.865337318466516795 C3(571,991) = 11.41266872836605254 C4(571,991) = 7928 Sum = 3243.989606280859795 Averaged sum = 0.3241072640904046154 logp*logq = 43.78882619570325303 -------------- ************************************* p = 571; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.081148352647773809 E19 -------------- Searches starting with [571,997]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(571,997) = 0.5698809067727027730 D2(571,997) = 0.05425095338824307597 C1(571,997) = 0.8250615364847957639 C2(571,997) = 1.718020284751968099 C3(571,997) = 4.593993437774939182 C4(571,997) = 7976 Sum = 3900.510501347363669 Averaged sum = 0.3897003198468741801 logp*logq = 43.82714053261980101 -------------- ************************************* p = 577; q = 587; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 400464792840509342.7 -------------- Searches starting with [577,587]-exponents: u = 1, v = 370 n_start has 1028 digits --- performed 5000 steps in the continued fraction search [577,587]-exponents: u = 268, v = 90 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(577,587) = 1.045574742240169058 D2(577,587) = 0.07451723202280780697 C1(577,587) = 1.372471656193331807 C2(577,587) = 1.173494716219962493 C3(577,587) = 12.66251176532730934 C4(577,587) = 4696 Sum = 5237.471210877423892 Averaged sum = 0.5237995010378461738 logp*logq = 40.53140224954125377 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(577,587) = 1.045574742240169058 D2(577,587) = 0.07451723202280780697 C1(577,587) = 1.372471656193331807 C2(577,587) = 1.173494716219962493 C3(577,587) = 12.66251176532730934 C4(577,587) = 4696 Sum = 5237.471210877423892 Averaged sum = 0.5237995010378461738 logp*logq = 40.53140224954125377 -------------- ************************************* p = 577; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 427212879104396660.0 -------------- Searches starting with [577,593]-exponents: u = 1, v = 232 n_start has 647 digits --- performed 5000 steps in the continued fraction search [577,593]-exponents: u = 127, v = 84 --- starting right neighbors generation We generated 5758 left neighbors We generated 4252 right neighbors We generated 10009 non-negative rho_i D1(577,593) = 0.6033035120702244542 D2(577,593) = 0.006912971061325824341 C1(577,593) = 0.8080214920398737448 C2(577,593) = 1.183943129235332826 C3(577,593) = 4.457501952726778803 C4(577,593) = 4744 Sum = 4917.630693444591813 Averaged sum = 0.4913208805519624151 logp*logq = 40.59605882981852140 -------------- ************************************* p = 577; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 455450982758789222.8 -------------- Searches starting with [577,599]-exponents: u = 1, v = 169 n_start has 473 digits starting right neighbors generation We generated 3077 left neighbors We generated 6933 right neighbors We generated 10009 non-negative rho_i D1(577,599) = 0.8109114885337078303 D2(577,599) = 0.006778196398776757206 C1(577,599) = 1.102633046591336015 C2(577,599) = 1.238667096358370228 C3(577,599) = 7.686982211978835539 C4(577,599) = 4792 Sum = 4883.422181091838092 Averaged sum = 0.4879031053144008484 logp*logq = 40.66006449387453943 -------------- ************************************* p = 577; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 465206282799804678.0 -------------- Searches starting with [577,601]-exponents: u = 1, v = 156 n_start has 437 digits starting right neighbors generation We generated 2690 left neighbors We generated 7320 right neighbors We generated 10009 non-negative rho_i D1(577,601) = 1.123777071069926249 D2(577,601) = 0.01222204289343635273 C1(577,601) = 1.534880170571716039 C2(577,601) = 1.259410132334633497 C3(577,601) = 17.09953123483148382 C4(577,601) = 4808 Sum = 4577.195553931578040 Averaged sum = 0.4573079782127663143 logp*logq = 40.68125732105256910 -------------- ************************************* p = 577; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 495535412297429831.6 -------------- Searches starting with [577,607]-exponents: u = 1, v = 125 n_start has 351 digits starting right neighbors generation We generated 1799 left neighbors We generated 8211 right neighbors We generated 10009 non-negative rho_i D1(577,607) = 0.5690246247080878710 D2(577,607) = 0.003731967781149238302 C1(577,607) = 0.7866555700935466694 C2(577,607) = 1.294456473256921623 C3(577,607) = 4.284775664010302373 C4(577,607) = 4856 Sum = 4317.461512614630602 Averaged sum = 0.4313579291252503348 logp*logq = 40.74441521393213164 -------------- ************************************* p = 577; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 527514037651690598.8 -------------- Searches starting with [577,613]-exponents: u = 1, v = 105 n_start has 296 digits starting right neighbors generation We generated 1312 left neighbors We generated 8698 right neighbors We generated 10009 non-negative rho_i D1(577,613) = 0.8936444853918027165 D2(577,613) = 0.007728871914022431438 C1(577,613) = 1.248096628295780425 C2(577,613) = 1.335001340163503319 C3(577,613) = 10.06023647733650950 C4(577,613) = 4904 Sum = 4130.595593628454420 Averaged sum = 0.4126881400368123109 logp*logq = 40.80695187156879553 -------------- ************************************* p = 577; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 549785082106489935.7 -------------- Searches starting with [577,617]-exponents: u = 1, v = 94 n_start has 266 digits starting right neighbors generation We generated 1000 left neighbors We generated 9010 right neighbors We generated 10009 non-negative rho_i D1(577,617) = 0.7219802132146170741 D2(577,617) = 0.01051208273903958648 C1(577,617) = 1.014560630224540866 C2(577,617) = 1.359797076389775054 C3(577,617) = 6.531402458719790610 C4(577,617) = 4936 Sum = 4752.800129341504982 Averaged sum = 0.4748526455531526608 logp*logq = 40.84830383696431216 -------------- ************************************* p = 577; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 561214396703653452.6 -------------- Searches starting with [577,619]-exponents: u = 1, v = 90 n_start has 255 digits starting right neighbors generation We generated 956 left neighbors We generated 9054 right neighbors We generated 10009 non-negative rho_i D1(577,619) = 0.8860364235106521589 D2(577,619) = 0.008624000531503857657 C1(577,619) = 1.200634029781306123 C2(577,619) = 1.368715349899790414 C3(577,619) = 9.214696196072782403 C4(577,619) = 4952 Sum = 3932.204618045171998 Averaged sum = 0.3928668816110672393 logp*logq = 40.86887939623769786 -------------- ************************************* p = 577; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 634081390930303477.8 -------------- Searches starting with [577,631]-exponents: u = 1, v = 71 n_start has 202 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(577,631) = 0.8365972251040145394 D2(577,631) = 0.02090659086475922260 C1(577,631) = 1.198432676209908784 C2(577,631) = 1.436711170781896051 C3(577,631) = 9.177251900400555639 C4(577,631) = 5048 Sum = 3601.010199438457978 Averaged sum = 0.3597772204454448974 logp*logq = 40.99095371796998446 -------------- ************************************* p = 577; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 700745981870055452.8 -------------- Searches starting with [577,641]-exponents: u = 1, v = 60 n_start has 172 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(577,641) = 0.6634377753238423358 D2(577,641) = 0.005306105375608419871 C1(577,641) = 0.9184474549375155315 C2(577,641) = 1.464290060052879531 C3(577,641) = 5.467613342770587740 C4(577,641) = 5128 Sum = 4100.105529722667422 Averaged sum = 0.4096418752845106826 logp*logq = 41.09092185089712462 -------------- ************************************* p = 577; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 714763582525584047.5 -------------- Searches starting with [577,643]-exponents: u = 1, v = 58 n_start has 166 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(577,643) = 0.5763577307128629808 D2(577,643) = 0.02686567792908818811 C1(577,643) = 0.8367370342149251254 C2(577,643) = 1.490935183409718063 C3(577,643) = 4.700661920076718353 C4(577,643) = 5144 Sum = 4304.209705515021374 Averaged sum = 0.4300339400054971899 logp*logq = 41.11072822911629647 -------------- ************************************* p = 577; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 743508679553683419.1 -------------- Searches starting with [577,647]-exponents: u = 1, v = 55 n_start has 158 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(577,647) = 0.7842208494733308752 D2(577,647) = 0.02161249864603879761 C1(577,647) = 1.091064126753408505 C2(577,647) = 1.501272772971710334 C3(577,647) = 7.524236712532130695 C4(577,647) = 5176 Sum = 4411.128832693895215 Averaged sum = 0.4407162386546003811 logp*logq = 41.15015683465490530 -------------- ************************************* p = 577; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 788449714883636264.3 -------------- Searches starting with [577,653]-exponents: u = 1, v = 51 n_start has 147 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(577,653) = 0.5775483212031396274 D2(577,653) = 0.009648370143118689261 C1(577,653) = 0.7888293258294376206 C2(577,653) = 1.512212742051022669 C3(577,653) = 4.302038452452355652 C4(577,653) = 5224 Sum = 4072.332792339219217 Averaged sum = 0.4068670988449614564 logp*logq = 41.20884502614592590 -------------- ************************************* p = 577; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 835658496793063993.3 -------------- Searches starting with [577,659]-exponents: u = 1, v = 47 n_start has 136 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(577,659) = 0.6756246671101897675 D2(577,659) = 0.01792487855223074489 C1(577,659) = 0.9967329031830972619 C2(577,659) = 1.539731195293676458 C3(577,659) = 6.319536964076014358 C4(577,659) = 5272 Sum = 4390.741629042726360 Averaged sum = 0.4386793514879334958 logp*logq = 41.26699642787888347 -------------- ************************************* p = 577; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 851914556836845029.2 -------------- Searches starting with [577,661]-exponents: u = 1, v = 46 n_start has 133 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(577,661) = 0.6103007563475906487 D2(577,661) = 0.01589889424068311155 C1(577,661) = 0.9019070628110890833 C2(577,661) = 1.544503602498327298 C3(577,661) = 5.302867019478389296 C4(577,661) = 5288 Sum = 4184.266378602947761 Averaged sum = 0.4180503925070384415 logp*logq = 41.28626263130831972 -------------- ************************************* p = 577; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 955154674927804400.0 -------------- Searches starting with [577,673]-exponents: u = 1, v = 41 n_start has 119 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(577,673) = 0.6805671756471752970 D2(577,673) = 0.01100310259983860417 C1(577,673) = 0.9404327903538735211 C2(577,673) = 1.577444352022083834 C3(577,673) = 5.694542373801717089 C4(577,673) = 5384 Sum = 3983.921065365099193 Averaged sum = 0.3980338760480666594 logp*logq = 41.40064968555196815 -------------- ************************************* p = 577; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 991827799712064477.0 -------------- Searches starting with [577,677]-exponents: u = 1, v = 39 n_start has 114 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(577,677) = 0.5977882007127251440 D2(577,677) = 0.03426703117907359880 C1(577,677) = 0.8955398725041897601 C2(577,677) = 1.609396378529503955 C3(577,677) = 5.240779774337468695 C4(577,677) = 5416 Sum = 4009.094774743336765 Averaged sum = 0.4005489833892833215 logp*logq = 41.43832589812730878 -------------- ************************************* p = 577; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.049058606141071905 E18 -------------- Searches starting with [577,683]-exponents: u = 1, v = 37 n_start has 108 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(577,683) = 0.6270949972017255133 D2(577,683) = 0.02668870232132860185 C1(577,683) = 0.8711076124016137504 C2(577,683) = 1.619722602568538150 C3(577,683) = 5.009209985278572395 C4(577,683) = 5464 Sum = 4141.570679554747256 Averaged sum = 0.4137846617598908239 logp*logq = 41.49442487032701286 -------------- ************************************* p = 577; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.129675069204087852 E18 -------------- Searches starting with [577,691]-exponents: u = 1, v = 35 n_start has 103 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(577,691) = 0.6827745550550441078 D2(577,691) = 0.04153599663540210290 C1(577,691) = 0.9365400319943632306 C2(577,691) = 1.654291874052320683 C3(577,691) = 5.653686698422285508 C4(577,691) = 5528 Sum = 3990.530113939449708 Averaged sum = 0.3986941866259815873 logp*logq = 41.56846171588990901 -------------- ************************************* p = 577; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.237731070818085512 E18 -------------- Searches starting with [577,701]-exponents: u = 1, v = 32 n_start has 94 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(577,701) = 0.8656846059405431462 D2(577,701) = 0.07345843421498564467 C1(577,701) = 1.212641382813922065 C2(577,701) = 1.707973768567495621 C3(577,701) = 9.421643019934932229 C4(577,701) = 5608 Sum = 4422.561907010637534 Averaged sum = 0.4418585180348324042 logp*logq = 41.65981159581619667 -------------- ************************************* p = 577; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.330329191410041935 E18 -------------- Searches starting with [577,709]-exponents: u = 1, v = 30 n_start has 89 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(577,709) = 0.6661973205031106602 D2(577,709) = 0.04207268016035124109 C1(577,709) = 1.021751790253898814 C2(577,709) = 1.699851227904947410 C3(577,709) = 6.618859683361135553 C4(577,709) = 5672 Sum = 3857.556605132334734 Averaged sum = 0.3854087925998935692 logp*logq = 41.73195809783873674 -------------- ************************************* p = 577; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.454225257088614685 E18 -------------- Searches starting with [577,719]-exponents: u = 1, v = 28 n_start has 83 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(577,719) = 0.7186428582299882923 D2(577,719) = 0.02234649299200260312 C1(577,719) = 1.109465759430088020 C2(577,719) = 1.706055008573124639 C3(577,719) = 7.784749834465875216 C4(577,719) = 5752 Sum = 3931.964355697412449 Averaged sum = 0.3928428769804588320 logp*logq = 41.82100496334922455 -------------- ************************************* p = 577; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.560214912013589384 E18 -------------- Searches starting with [577,727]-exponents: u = 1, v = 27 n_start has 81 digits **************************************************** Computing .... elapsed time = 47 minutes **************************************************** starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(577,727) = 0.8661844209448922048 D2(577,727) = 0.04683842367926523269 C1(577,727) = 1.262463952050054781 C2(577,727) = 1.745097797393230554 C3(577,727) = 10.33117220575525916 C4(577,727) = 5816 Sum = 4474.904646531920438 Averaged sum = 0.4470880853763533258 logp*logq = 41.89135524977693951 -------------- ************************************* p = 577; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.643914203918008211 E18 -------------- Searches starting with [577,733]-exponents: u = 1, v = 26 n_start has 78 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(577,733) = 0.5817079359179281404 D2(577,733) = 0.03235765349346270902 C1(577,733) = 0.8502166391348911091 C2(577,733) = 1.745510022856011707 C3(577,733) = 4.819337211042246033 C4(577,733) = 5864 Sum = 3856.871862655915730 Averaged sum = 0.3853403799236602787 logp*logq = 41.94361178176719564 -------------- ************************************* p = 577; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.731365893470356044 E18 -------------- Searches starting with [577,739]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(577,739) = 0.6307472816806993027 D2(577,739) = 0.01081090962470894175 C1(577,739) = 0.8969931575531812370 C2(577,739) = 1.739679364788518842 C3(577,739) = 5.254886599773251877 C4(577,739) = 5912 Sum = 4035.171687644811231 Averaged sum = 0.4031543298676002828 logp*logq = 41.99544230468255302 -------------- ************************************* p = 577; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.791818543560160195 E18 -------------- Searches starting with [577,743]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(577,743) = 0.8413327373995140371 D2(577,743) = 0.06544112221616808459 C1(577,743) = 1.140057906170519347 C2(577,743) = 1.795102899909440825 C3(577,743) = 8.237959085283549088 C4(577,743) = 5944 Sum = 3787.639432435435704 Averaged sum = 0.3784233622175477774 logp*logq = 42.02976272414448702 -------------- ************************************* p = 577; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.918073012222293438 E18 -------------- Searches starting with [577,751]-exponents: u = 1, v = 24 n_start has 72 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(577,751) = 0.7404975777920451655 D2(577,751) = 0.05783052821099365050 C1(577,751) = 0.9987686535726506935 C2(577,751) = 1.804515053062106238 C3(577,751) = 6.343378072185020359 C4(577,751) = 6008 Sum = 3575.072824700189895 Averaged sum = 0.3571858152363063138 logp*logq = 42.09785271648162665 -------------- ************************************* p = 577; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.017611162642807859 E18 -------------- Searches starting with [577,757]-exponents: u = 1, v = 23 n_start has 69 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(577,757) = 0.5771955159462628179 D2(577,757) = 0.01538328282867197404 C1(577,757) = 0.7994339923979406138 C2(577,757) = 1.779716701188675823 C3(577,757) = 4.387257447957243924 C4(577,757) = 6056 Sum = 3946.537881351411296 Averaged sum = 0.3942989191079439800 logp*logq = 42.14844589274025818 -------------- ************************************* p = 577; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.086359563361381511 E18 -------------- Searches starting with [577,761]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(577,761) = 0.9509187537634086337 D2(577,761) = 0.06513864728444311217 C1(577,761) = 1.504371937225245907 C2(577,761) = 1.830255581285286927 C3(577,761) = 16.16131307934712732 C4(577,761) = 6088 Sum = 4364.492931448007718 Averaged sum = 0.4360568419870124606 logp*logq = 42.18195238539758390 -------------- ************************************* p = 577; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.229792555758481774 E18 -------------- Searches starting with [577,769]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(577,769) = 0.6502032573034538034 D2(577,769) = 0.03427055007613409326 C1(577,769) = 1.033802917961341138 C2(577,769) = 1.818570594762530687 C3(577,769) = 6.768056300126180057 C4(577,769) = 6152 Sum = 3724.604197034126903 Averaged sum = 0.3721255067473400842 logp*logq = 42.24844023071426820 -------------- ************************************* p = 577; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.304568703034195808 E18 -------------- Searches starting with [577,773]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(577,773) = 0.7135647408886314778 D2(577,773) = 0.08379046808165826704 C1(577,773) = 1.006163720814693420 C2(577,773) = 1.868866636927979441 C3(577,773) = 6.430742593334823752 C4(577,773) = 6184 Sum = 4287.058453364936618 Averaged sum = 0.4283203570151799998 logp*logq = 42.28142521918238281 -------------- ************************************* p = 577; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.583155533582673861 E18 -------------- Searches starting with [577,787]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(577,787) = 0.8173608446909562017 D2(577,787) = 0.1107748287835905647 C1(577,787) = 1.219323877949712472 C2(577,787) = 1.917475254831942680 C3(577,787) = 9.538822305071497172 C4(577,787) = 6296 Sum = 3973.626996591765542 Averaged sum = 0.3970053948038530865 logp*logq = 42.39554340051143770 -------------- ************************************* p = 577; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.799073807201427886 E18 -------------- Searches starting with [577,797]-exponents: u = 1, v = 19 n_start has 58 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(577,797) = 0.6927116483431200970 D2(577,797) = 0.06794160140742918932 C1(577,797) = 1.003172484751677136 C2(577,797) = 1.896959447909311545 C3(577,797) = 6.395260465997559885 C4(577,797) = 6376 Sum = 3895.561234602021890 Averaged sum = 0.3892058382058169537 logp*logq = 42.47582025321082226 -------------- ************************************* p = 577; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.078066650515120106 E18 -------------- Searches starting with [577,809]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(577,809) = 0.5956818019822310584 D2(577,809) = 0.03552510203898687578 C1(577,809) = 0.8354653666485090488 C2(577,809) = 1.888916496274966606 C3(577,809) = 4.689618065813245786 C4(577,809) = 6472 Sum = 3934.979776226621662 Averaged sum = 0.3931441478895615608 logp*logq = 42.57083336291363935 -------------- ************************************* p = 577; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.126768593324915332 E18 -------------- Searches starting with [577,811]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(577,811) = 0.7815780423627498218 D2(577,811) = 0.05538016353919006054 C1(577,811) = 1.136126718202644603 C2(577,811) = 1.909148703395498727 C3(577,811) = 8.178274230307171206 C4(577,811) = 6488 Sum = 3986.451305134398149 Averaged sum = 0.3982866725081824507 logp*logq = 42.58653174685593458 -------------- ************************************* p = 577; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.380135446980522334 E18 -------------- Searches starting with [577,821]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(577,821) = 0.9683965388248571854 D2(577,821) = 0.1056258259799993068 C1(577,821) = 1.576757171820768590 C2(577,821) = 1.184370196264802833 C3(577,821) = 18.47670003566687133 C4(577,821) = 6568 Sum = 1479.114986669881931 Averaged sum = 0.1477784980187712990 logp*logq = 42.66444745565600611 -------------- ************************************* p = 577; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.432829993514911351 E18 -------------- Searches starting with [577,823]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(577,823) = 0.7004666235405626503 D2(577,823) = 0.007388700550382483649 C1(577,823) = 1.140497969098626217 C2(577,823) = 1.887460725568554693 C3(577,823) = 8.244667345590967520 C4(577,823) = 6584 Sum = 3867.526037934065571 Averaged sum = 0.3864048394379124359 logp*logq = 42.67991666588230237 -------------- ************************************* p = 577; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.540298176596144625 E18 -------------- Searches starting with [577,827]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(577,827) = 0.9200725619578596495 D2(577,827) = 0.04261464543333569888 C1(577,827) = 1.342855035899402945 C2(577,827) = 1.923433051430949187 C3(577,827) = 11.98749784407549136 C4(577,827) = 6616 Sum = 4731.611636173532675 Averaged sum = 0.4727357014860158533 logp*logq = 42.71074262816817813 -------------- ************************************* p = 577; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.595086559629270573 E18 -------------- Searches starting with [577,829]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(577,829) = 0.8266475730642830517 D2(577,829) = 0.06141071963248264668 C1(577,829) = 1.114162892158694164 C2(577,829) = 1.942600955645162293 C3(577,829) = 7.852680240727851188 C4(577,829) = 6632 Sum = 3476.373623988322898 Averaged sum = 0.3473247701057371264 logp*logq = 42.72609974255879625 -------------- ************************************* p = 577; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.879871764578861883 E18 -------------- Searches starting with [577,839]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(577,839) = 1.064318823385829573 D2(577,839) = 0.1062081343725355573 C1(577,839) = 1.745428051529073866 C2(577,839) = 1.261306316600733132 C3(577,839) = 25.24174472330252263 C4(577,839) = 6712 Sum = 4190.963584026015600 Averaged sum = 0.4187195108428430012 logp*logq = 42.80233377661555629 -------------- ************************************* p = 577; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.310341018682821423 E18 -------------- Searches starting with [577,853]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(577,853) = 0.6274821385945502795 D2(577,853) = 0.09699360907934163333 C1(577,853) = 0.9016038287908241756 C2(577,853) = 2.008931937537649898 C3(577,853) = 5.299893535540287794 C4(577,853) = 6824 Sum = 4157.034738338529344 Averaged sum = 0.4153296771244409376 logp*logq = 42.90754869754267355 -------------- ************************************* p = 577; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.440475073279725655 E18 -------------- Searches starting with [577,857]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(577,857) = 0.9785110539229487788 D2(577,857) = 0.09881186777014952616 C1(577,857) = 1.309005603096683913 C2(577,857) = 1.305906954355284425 C3(577,857) = 11.25996298086701347 C4(577,857) = 6856 Sum = 3669.169799724596315 Averaged sum = 0.3665870516259962349 logp*logq = 42.93729304309945065 -------------- ************************************* p = 577; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.506773652209517308 E18 -------------- Searches starting with [577,859]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(577,859) = 1.005314562820079873 D2(577,859) = 0.09677578644764402875 C1(577,859) = 1.661643302090455730 C2(577,859) = 1.246699608637209376 C3(577,859) = 21.61793786413588610 C4(577,859) = 6872 Sum = 3881.196667711168108 Averaged sum = 0.3877706731652680696 logp*logq = 42.95211319495335862 -------------- ************************************* p = 577; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.641875969029891596 E18 -------------- Searches starting with [577,863]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(577,863) = 0.6784414861419235233 D2(577,863) = 0.1329260423388502571 C1(577,863) = 0.9616637106977599954 C2(577,863) = 1.807138966676652347 C3(577,863) = 5.922619527859322226 C4(577,863) = 6904 Sum = 4264.723631080962443 Averaged sum = 0.4260888831132942794 logp*logq = 42.98165026209251526 -------------- ************************************* p = 577; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.141942372155067314 E18 -------------- Searches starting with [577,877]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(577,877) = 0.5629617143819045558 D2(577,877) = 0.09699667463396104062 C1(577,877) = 0.7999206787457488550 C2(577,877) = 2.042281983264068666 C3(577,877) = 4.391208716116794986 C4(577,877) = 7016 Sum = 3683.163629380954421 Averaged sum = 0.3679851762794439426 logp*logq = 43.08396257539154517 -------------- ************************************* p = 577; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.292883126744923060 E18 -------------- Searches starting with [577,881]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(577,881) = 1.003842964607951732 D2(577,881) = 0.07710874247281928774 C1(577,881) = 1.673563869126011974 C2(577,881) = 1.143286051329263784 C3(577,881) = 22.09989304859920063 C4(577,881) = 7048 Sum = 1221.708097358549572 Averaged sum = 0.1220609548764661376 logp*logq = 43.11289478580411230 -------------- ************************************* p = 577; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.369742705061751230 E18 -------------- Searches starting with [577,883]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(577,883) = 0.8006604390108524116 D2(577,883) = 0.09415661186671032732 C1(577,883) = 1.334808485470924532 C2(577,883) = 1.275553648431377479 C3(577,883) = 11.81040171106680722 C4(577,883) = 7064 Sum = 3659.916228313953190 Averaged sum = 0.3656625265574935748 logp*logq = 43.12731166786939026 -------------- ************************************* p = 577; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.526286401427118322 E18 -------------- Searches starting with [577,887]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(577,887) = 0.5561169737025173653 D2(577,887) = 0.1191813525839379821 C1(577,887) = 0.7915342423057243370 C2(577,887) = 1.820237663627375612 C3(577,887) = 4.323616580674556734 C4(577,887) = 7096 Sum = 4097.829363389704121 Averaged sum = 0.4094144633219806295 logp*logq = 43.15604772703276784 -------------- ************************************* p = 577; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.367964261917228262 E18 -------------- Searches starting with [577,907]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(577,907) = 0.8010510150518457972 D2(577,907) = 0.07505917979978582432 C1(577,907) = 1.348250039686194824 C2(577,907) = 1.269234296522059944 C3(577,907) = 12.10772089747658921 C4(577,907) = 7256 Sum = 3552.239769429880807 Averaged sum = 0.3549045628364352890 logp*logq = 43.29781151028304246 -------------- ************************************* p = 577; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.548638629622345727 E18 -------------- Searches starting with [577,911]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(577,911) = 0.7256071888863110611 D2(577,911) = 0.09118356506119356950 C1(577,911) = 1.221221219190912163 C2(577,911) = 1.342660655226219348 C3(577,911) = 9.572357530570031751 C4(577,911) = 7288 Sum = 3967.909361331664917 Averaged sum = 0.3964341454023044177 logp*logq = 43.32578885913192486 -------------- ************************************* p = 577; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.922972512992208226 E18 -------------- Searches starting with [577,919]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(577,919) = 0.8224802604767401334 D2(577,919) = 0.1017370061034278197 C1(577,919) = 1.224503647703637049 C2(577,919) = 1.833443046183608794 C3(577,919) = 9.630652621574729092 C4(577,919) = 7352 Sum = 4256.390839617505710 Averaged sum = 0.4252563532438311230 logp*logq = 43.38137690519114330 -------------- ************************************* p = 577; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.416103019238627315 E18 -------------- Searches starting with [577,929]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(577,929) = 0.6713055770532062671 D2(577,929) = 0.02352981670511627140 C1(577,929) = 1.001448657915848800 C2(577,929) = 2.046195721530498657 C3(577,929) = 6.374901374162009819 C4(577,929) = 7432 Sum = 3837.545545227827141 Averaged sum = 0.3834094859853958578 logp*logq = 43.45018539354298488 -------------- ************************************* p = 577; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.831619444712268265 E18 -------------- Searches starting with [577,937]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(577,937) = 0.6974621311196726566 D2(577,937) = 0.07064780405066668196 C1(577,937) = 0.9637794980850845320 C2(577,937) = 1.406830626285422490 C3(577,937) = 5.945843402468989907 C4(577,937) = 7496 Sum = 4138.834217649177513 Averaged sum = 0.4135112616294512452 logp*logq = 43.50470098814381205 -------------- ************************************* p = 577; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.046625534943596370 E18 -------------- Searches starting with [577,941]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(577,941) = 1.707491261311923884 D2(577,941) = 0.05863616709353535495 C1(577,941) = 2.904254916114058553 C2(577,941) = 1.191797619148849413 C3(577,941) = 215.2862476319146810 C4(577,941) = 7528 Sum = 5619.679800997290046 Averaged sum = 0.5614626637023968474 logp*logq = 43.53178448923359317 -------------- ************************************* p = 577; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.378450273151967555 E18 -------------- Searches starting with [577,947]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(577,947) = 0.9201045010802836067 D2(577,947) = 0.08776487542514141316 C1(577,947) = 1.305252410859166236 C2(577,947) = 1.852139392971488068 C3(577,947) = 11.18206433959022276 C4(577,947) = 7576 Sum = 4763.401904209068971 Averaged sum = 0.4759118697381425688 logp*logq = 43.57219463968007913 -------------- ************************************* p = 577; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.721732440253468315 E18 -------------- Searches starting with [577,953]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(577,953) = 0.9141304414750168164 D2(577,953) = 0.08458023583786219985 C1(577,953) = 1.369451574918132798 C2(577,953) = 1.850048977336398274 C3(577,953) = 12.59197350357793356 C4(577,953) = 7624 Sum = 3746.456902150303261 Averaged sum = 0.3743088122839747488 logp*logq = 43.61234956642157136 -------------- ************************************* p = 577; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.569089586061372689 E18 -------------- Searches starting with [577,967]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(577,967) = 0.7921860460172736734 D2(577,967) = 0.007093052122422264225 C1(577,967) = 1.065496747657555559 C2(577,967) = 2.076978031819219929 C3(577,967) = 7.176685670439201357 C4(577,967) = 7736 Sum = 3301.930918501256059 Averaged sum = 0.3298961852833705723 logp*logq = 43.70506974275934074 -------------- ************************************* p = 577; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.823554959758602171 E18 -------------- Searches starting with [577,971]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(577,971) = 0.5310478483306142009 D2(577,971) = 0.02893416642230922222 C1(577,971) = 0.7655052491262354629 C2(577,971) = 2.099486088893824143 C3(577,971) = 4.120385305403948104 C4(577,971) = 7768 Sum = 4068.118432488068822 Averaged sum = 0.4064460418111768231 logp*logq = 43.73131474294396898 -------------- ************************************* p = 577; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.021593284989472892 E19 -------------- Searches starting with [577,977]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(577,977) = 0.7358500833464737980 D2(577,977) = 0.05198546601227794707 C1(577,977) = 1.266596866503990808 C2(577,977) = 1.323880452460293103 C3(577,977) = 10.41045260086047056 C4(577,977) = 7816 Sum = 3968.997190371565739 Averaged sum = 0.3965428304897158297 logp*logq = 43.77048021956844400 -------------- ************************************* p = 577; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.062143609473959897 E19 -------------- Searches starting with [577,983]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(577,983) = 0.8492907272605511198 D2(577,983) = 0.06125740261602177064 C1(577,983) = 1.147500034793032029 C2(577,983) = 1.311911336557118269 C3(577,983) = 8.352143840430792159 C4(577,983) = 7864 Sum = 3995.521604877559225 Averaged sum = 0.3991928868895553227 logp*logq = 43.80940590605784312 -------------- ************************************* p = 577; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.118313877068637146 E19 -------------- Searches starting with [577,991]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(577,991) = 0.7893145764302607149 D2(577,991) = 0.06667969362042148521 C1(577,991) = 1.160642948247855482 C2(577,991) = 1.870003333350026024 C3(577,991) = 8.557675130963400395 C4(577,991) = 7928 Sum = 3591.871967910015601 Averaged sum = 0.3588642189939070438 logp*logq = 43.86093885093693946 -------------- ************************************* p = 577; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.162066072793035909 E19 -------------- Searches starting with [577,997]-exponents: u = 1, v = 11 n_start has 36 digits starting right neighbors generation We generated 24 left neighbors We generated 9986 right neighbors We generated 10009 non-negative rho_i D1(577,997) = 1.284607255300787364 D2(577,997) = 0.06378429605544837756 C1(577,997) = 1.799463620982889826 C2(577,997) = 1.868169804198517716 C3(577,997) = 27.89501954421012193 C4(577,997) = 7976 Sum = 4764.479627708904661 Averaged sum = 0.4760195451802282607 logp*logq = 43.89931628496771978 -------------- ************************************* p = 587; q = 593; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 476751970720104733.7 -------------- Searches starting with [587,593]-exponents: u = 1, v = 626 n_start has 1739 digits --- performed 5000 steps in the continued fraction search [587,593]-exponents: u = 20, v = 599 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(587,593) = 0.5692331053681879601 D2(587,593) = 0.2106648409372105224 C1(587,593) = 0.7329421070243887195 C2(587,593) = 1.234314034369846664 C3(587,593) = 3.887215736045883437 C4(587,593) = 4744 Sum = 5529.716677287198714 Averaged sum = 0.5530269704257624476 logp*logq = 40.70577277303784529 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(587,593) = 0.5692331053681879601 D2(587,593) = 0.2106648409372105224 C1(587,593) = 0.7329421070243887195 C2(587,593) = 1.234314034369846664 C3(587,593) = 3.887215736045883437 C4(587,593) = 4744 Sum = 5529.716677287198714 Averaged sum = 0.5530269704257624476 logp*logq = 40.70577277303784529 -------------- ************************************* p = 587; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 508352458207416902.8 -------------- Searches starting with [587,599]-exponents: u = 1, v = 315 n_start has 878 digits --- performed 5000 steps in the continued fraction search [587,599]-exponents: u = 80, v = 220 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(587,599) = 1.015925149144624175 D2(587,599) = 0.01231763962436859744 C1(587,599) = 1.342883435459604651 C2(587,599) = 1.142126778552221886 C3(587,599) = 12.03165556500459061 C4(587,599) = 4792 Sum = 5135.687361311196175 Averaged sum = 0.5136200981409337108 logp*logq = 40.76995141727948664 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(587,599) = 1.015925149144624175 D2(587,599) = 0.01231763962436859744 C1(587,599) = 1.342883435459604651 C2(587,599) = 1.142126778552221886 C3(587,599) = 12.03165556500459061 C4(587,599) = 4792 Sum = 5135.687361311196175 Averaged sum = 0.5136200981409337108 logp*logq = 40.76995141727948664 -------------- ************************************* p = 587; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 519270594913014386.0 -------------- Searches starting with [587,601]-exponents: u = 1, v = 270 n_start has 754 digits --- performed 5000 steps in the continued fraction search [587,601]-exponents: u = 41, v = 211 --- starting right neighbors generation We generated 7724 left neighbors We generated 2286 right neighbors We generated 10009 non-negative rho_i D1(587,601) = 0.6031004350013230940 D2(587,601) = 0.006082935188842399490 C1(587,601) = 0.8025209248973331459 C2(587,601) = 1.160339958181127640 C3(587,601) = 4.421947095635033168 C4(587,601) = 4808 Sum = 5031.819082127837766 Averaged sum = 0.5027294517062481533 logp*logq = 40.79120151968828229 -------------- ************************************* p = 587; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 553218868251078920.4 -------------- Searches starting with [587,607]-exponents: u = 1, v = 190 n_start has 532 digits starting right neighbors generation We generated 3992 left neighbors We generated 6018 right neighbors We generated 10009 non-negative rho_i D1(587,607) = 0.6582027036377635897 D2(587,607) = 0.003973441378515943343 C1(587,607) = 0.8903399987617888605 C2(587,607) = 1.217680100524258638 C3(587,607) = 5.203102673780764037 C4(587,607) = 4856 Sum = 4741.468863990605551 Averaged sum = 0.4737205379149371117 logp*logq = 40.85453010158724666 -------------- ************************************* p = 587; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 589019549673499968.0 -------------- Searches starting with [587,613]-exponents: u = 1, v = 147 n_start has 413 digits starting right neighbors generation We generated 2396 left neighbors We generated 7614 right neighbors We generated 10009 non-negative rho_i D1(587,613) = 0.8047967132554941052 D2(587,613) = 0.01180958061849503684 C1(587,613) = 1.103122450353944007 C2(587,613) = 1.272244196936767202 C3(587,613) = 7.716884900410412323 C4(587,613) = 4904 Sum = 4496.835342134443004 Averaged sum = 0.4492791829487903890 logp*logq = 40.91723576930771788 -------------- ************************************* p = 587; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 613955897033023820.3 -------------- Searches starting with [587,617]-exponents: u = 1, v = 127 n_start has 358 digits starting right neighbors generation We generated 1829 left neighbors We generated 8181 right neighbors We generated 10009 non-negative rho_i D1(587,617) = 0.7879921669710884368 D2(587,617) = 0.0001096635561311455782 C1(587,617) = 1.088346810402143224 C2(587,617) = 1.289349732628841577 C3(587,617) = 7.508536358115128837 C4(587,617) = 4936 Sum = 4838.476508704059972 Averaged sum = 0.4834125795488120663 logp*logq = 40.95869949154156284 -------------- ************************************* p = 587; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 626754090110557408.3 -------------- Searches starting with [587,619]-exponents: u = 1, v = 120 n_start has 338 digits starting right neighbors generation We generated 1616 left neighbors We generated 8394 right neighbors We generated 10009 non-negative rho_i D1(587,619) = 0.7858028399432882275 D2(587,619) = 0.01594775984446126540 C1(587,619) = 1.089321902775116255 C2(587,619) = 1.316237000456131083 C3(587,619) = 7.522110903188006515 C4(587,619) = 4952 Sum = 4273.993705051159487 Averaged sum = 0.4270150569538574769 logp*logq = 40.97933065783215406 -------------- ************************************* p = 587; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 708364293221565893.4 -------------- Searches starting with [587,631]-exponents: u = 1, v = 88 n_start has 250 digits starting right neighbors generation We generated 934 left neighbors We generated 9076 right neighbors We generated 10009 non-negative rho_i D1(587,631) = 0.6687946091554871455 D2(587,631) = 0.009220951415674217682 C1(587,631) = 0.9447969289995618043 C2(587,631) = 1.377197311568988287 C3(587,631) = 5.755353579353910145 C4(587,631) = 5048 Sum = 3879.761288905889253 Averaged sum = 0.3876272643526715209 logp*logq = 41.10173489472342738 -------------- ************************************* p = 587; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 783050198367142380.7 -------------- Searches starting with [587,641]-exponents: u = 1, v = 72 n_start has 205 digits starting right neighbors generation We generated 629 left neighbors We generated 9381 right neighbors We generated 10009 non-negative rho_i D1(587,641) = 0.6633876031701113793 D2(587,641) = 0.01297629636668705631 C1(587,641) = 0.9096290268755882285 C2(587,641) = 1.427179027590319731 C3(587,641) = 5.392374789291722843 C4(587,641) = 5128 Sum = 3975.195335160476102 Averaged sum = 0.3971620876371741534 logp*logq = 41.20197319914937456 -------------- ************************************* p = 587; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 798756953159314393.2 -------------- Searches starting with [587,643]-exponents: u = 1, v = 69 n_start has 197 digits starting right neighbors generation We generated 539 left neighbors We generated 9471 right neighbors We generated 10009 non-negative rho_i D1(587,643) = 0.9307511319377494532 D2(587,643) = 0.02013596128113893866 C1(587,643) = 1.335217867171942678 C2(587,643) = 1.442097995699436065 C3(587,643) = 11.86201803278306595 C4(587,643) = 5144 Sum = 5364.337833542624287 Averaged sum = 0.5359514270698995191 logp*logq = 41.22183310561532593 -------------- ************************************* p = 587; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 830968489243243911.5 -------------- Searches starting with [587,647]-exponents: u = 1, v = 65 n_start has 186 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(587,647) = 1.034140759040438575 D2(587,647) = 0.02086123175659073963 C1(587,647) = 1.425857239516483605 C2(587,647) = 1.459326888193975034 C3(587,647) = 14.03060223320538898 C4(587,647) = 5176 Sum = 4424.427256645667689 Averaged sum = 0.4420448852678257257 logp*logq = 41.26136826996565130 -------------- ************************************* p = 587; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 881335768948285945.5 -------------- Searches starting with [587,653]-exponents: u = 1, v = 59 n_start has 169 digits starting right neighbors generation We generated 405 left neighbors We generated 9605 right neighbors We generated 10009 non-negative rho_i D1(587,653) = 0.6711114955630553608 D2(587,653) = 0.02551654897746928168 C1(587,653) = 0.9735189426438108764 C2(587,653) = 1.486953011088016741 C3(587,653) = 6.069855455673289898 C4(587,653) = 5224 Sum = 4543.535839884563718 Averaged sum = 0.4539450334583438623 logp*logq = 41.32021507076739053 -------------- ************************************* p = 587; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 934252959540104947.8 -------------- Searches starting with [587,659]-exponents: u = 1, v = 55 n_start has 158 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(587,659) = 0.7573248518604201645 D2(587,659) = 0.03769553315423679891 C1(587,659) = 1.105833723499312878 C2(587,659) = 1.519808410352547204 C3(587,659) = 7.755739129088177213 C4(587,659) = 5272 Sum = 3201.232619735358154 Averaged sum = 0.3198354101044418178 logp*logq = 41.37852363109583145 -------------- ************************************* p = 587; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 952476569737790461.8 -------------- Searches starting with [587,661]-exponents: u = 1, v = 53 n_start has 153 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(587,661) = 0.5625775921004494470 D2(587,661) = 0.006013311606721872733 C1(587,661) = 0.8226288340855085475 C2(587,661) = 1.499070261182956911 C3(587,661) = 4.589760150133832036 C4(587,661) = 5288 Sum = 4197.085690977068266 Averaged sum = 0.4193311710437674359 logp*logq = 41.39784190290850584 -------------- ************************************* p = 587; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.068233578399694222 E18 -------------- Searches starting with [587,673]-exponents: u = 1, v = 46 n_start has 133 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(587,673) = 0.6074674189653929234 D2(587,673) = 0.02221408767447844930 C1(587,673) = 0.8342053951878295968 C2(587,673) = 1.553271395927549351 C3(587,673) = 4.689247165639770930 C4(587,673) = 5384 Sum = 4251.936431342333196 Averaged sum = 0.4248113129525760012 logp*logq = 41.51253809688482939 -------------- ************************************* p = 587; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.109361315635224980 E18 -------------- Searches starting with [587,677]-exponents: u = 1, v = 44 n_start has 128 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(587,677) = 0.6727271172070866596 D2(587,677) = 0.008726717521354036069 C1(587,677) = 0.9260115664648791780 C2(587,677) = 1.554026007406732409 C3(587,677) = 5.558524520770443329 C4(587,677) = 5416 Sum = 4109.136250826557809 Averaged sum = 0.4105441353608310329 logp*logq = 41.55031613229633593 -------------- ************************************* p = 587; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.173551994292707757 E18 -------------- Searches starting with [587,683]-exponents: u = 1, v = 42 n_start has 122 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(587,683) = 0.7686077349009914620 D2(587,683) = 0.02791022694722374240 C1(587,683) = 1.147151293418264304 C2(587,683) = 1.588807078962698317 C3(587,683) = 8.372640210957431309 C4(587,683) = 5464 Sum = 2775.206987065061995 Averaged sum = 0.2772711546673056244 logp*logq = 41.60656671624427356 -------------- ************************************* p = 587; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.263988222618459231 E18 -------------- Searches starting with [587,691]-exponents: u = 1, v = 39 n_start has 114 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(587,691) = 0.7751647798346855470 D2(587,691) = 0.01013300038031354091 C1(587,691) = 1.164422984316424819 C2(587,691) = 1.596288009859142154 C3(587,691) = 8.644844613621689854 C4(587,691) = 5528 Sum = 2656.812815945651644 Averaged sum = 0.2654423834494606498 logp*logq = 41.68080365202539205 -------------- ************************************* p = 587; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.385233528515068789 E18 -------------- Searches starting with [587,701]-exponents: u = 1, v = 35 n_start has 103 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(587,701) = 0.7753048297120946583 D2(587,701) = 0.07205959392057915131 C1(587,701) = 1.173033436538914629 C2(587,701) = 1.677598802589238824 C3(587,701) = 8.783834496157875856 C4(587,701) = 5608 Sum = 4409.784793902798434 Averaged sum = 0.4405819556302126520 logp*logq = 41.77240041196486865 -------------- ************************************* p = 587; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.489157049855914585 E18 -------------- Searches starting with [587,709]-exponents: u = 1, v = 33 n_start has 97 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(587,709) = 0.7116872294451135613 D2(587,709) = 0.07140326607852929408 C1(587,709) = 0.9788531499439388341 C2(587,709) = 1.697438592642850159 C3(587,709) = 6.130129120275266114 C4(587,709) = 5672 Sum = 4032.055174165040855 Averaged sum = 0.4028429587536258223 logp*logq = 41.84474189540813126 -------------- ************************************* p = 587; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.628236851157043393 E18 -------------- Searches starting with [587,719]-exponents: u = 1, v = 31 n_start has 92 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(587,719) = 0.5870740005262137647 D2(587,719) = 0.08593455643195985600 C1(587,719) = 0.8475885992405506585 C2(587,719) = 1.734628868019878794 C3(587,719) = 4.806950718829601931 C4(587,719) = 5752 Sum = 3925.507158213978233 Averaged sum = 0.3921977378573262296 logp*logq = 41.93402941685981355 -------------- ************************************* p = 587; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.747241321484574268 E18 -------------- Searches starting with [587,727]-exponents: u = 1, v = 29 n_start has 86 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(587,727) = 0.8094987300193695098 D2(587,727) = 0.03794074188007705329 C1(587,727) = 1.107199936391333878 C2(587,727) = 1.710974468857292183 C3(587,727) = 7.775391872764776836 C4(587,727) = 5816 Sum = 3971.538692865028586 Averaged sum = 0.3967967522095142958 logp*logq = 42.00456983029869848 -------------- ************************************* p = 587; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.841233846530747957 E18 -------------- Searches starting with [587,733]-exponents: u = 1, v = 28 n_start has 83 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(587,733) = 0.5953291261656243132 D2(587,733) = 0.03812290101693154981 C1(587,733) = 0.8410140624483126648 C2(587,733) = 1.724621732155705653 C3(587,733) = 4.748763858882793908 C4(587,733) = 5864 Sum = 4061.503221634570601 Averaged sum = 0.4057851155594535519 logp*logq = 42.05696758954965131 -------------- ************************************* p = 587; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.939454047220309873 E18 -------------- Searches starting with [587,739]-exponents: u = 1, v = 27 n_start has 81 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(587,739) = 0.6950180520910586926 D2(587,739) = 0.03054306442933153707 C1(587,739) = 0.9840502141349751181 C2(587,739) = 1.731183019345136906 C3(587,739) = 6.189428726240246586 C4(587,739) = 5912 Sum = 4147.593632431874662 Averaged sum = 0.4143864154692651276 logp*logq = 42.10893818840371008 -------------- ************************************* p = 587; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.007358517758051856 E18 -------------- Searches starting with [587,743]-exponents: u = 1, v = 27 n_start has 81 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(587,743) = 0.8535232335634451699 D2(587,743) = 0.09317546605229579888 C1(587,743) = 1.328010263224735782 C2(587,743) = 1.794600307299558521 C3(587,743) = 11.70469747342672808 C4(587,743) = 5944 Sum = 2075.059645914209001 Averaged sum = 0.2073193771519841144 logp*logq = 42.14335136141514244 -------------- ************************************* p = 587; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.149195741108752993 E18 -------------- Searches starting with [587,751]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(587,751) = 0.6725175798327476172 D2(587,751) = 0.1050879872276563749 C1(587,751) = 1.050498509954477520 C2(587,751) = 1.821786208750144984 C3(587,751) = 7.000144679979298773 C4(587,751) = 6008 Sum = 3838.106020235116743 Averaged sum = 0.3834654830887318157 logp*logq = 42.21162537214639263 -------------- ************************************* p = 587; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.261037110394688843 E18 -------------- Searches starting with [587,757]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(587,757) = 0.8007678005645451061 D2(587,757) = 0.07356457539051092434 C1(587,757) = 1.256057610277053752 C2(587,757) = 1.805969516842039514 C3(587,757) = 10.24414194781836047 C4(587,757) = 6056 Sum = 2056.787301803400145 Averaged sum = 0.2054937857731441847 logp*logq = 42.26235528032007518 -------------- ************************************* p = 587; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.338291776956095363 E18 -------------- Searches starting with [587,761]-exponents: u = 1, v = 24 n_start has 72 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(587,761) = 0.6081932173629361058 D2(587,761) = 0.01202360782567295617 C1(587,761) = 0.8947358254839288707 C2(587,761) = 1.760663004513123463 C3(587,761) = 5.245643341008104477 C4(587,761) = 6088 Sum = 3807.015654153249795 Averaged sum = 0.3803592420974372859 logp*logq = 42.29595232682767230 -------------- ************************************* p = 587; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.499493688394840066 E18 -------------- Searches starting with [587,769]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(587,769) = 0.7372872035951893643 D2(587,769) = 0.1225893038498153272 C1(587,769) = 1.021096905169673745 C2(587,769) = 1.872774070941827279 C3(587,769) = 6.629090650386137090 C4(587,769) = 6152 Sum = 4142.953314622704472 Averaged sum = 0.4139228009414231663 logp*logq = 42.36261986061402873 -------------- ************************************* p = 587; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.583544568057880129 E18 -------------- Searches starting with [587,773]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(587,773) = 0.6708563571610033724 D2(587,773) = 0.04204875379201634466 C1(587,773) = 0.9205555212197441371 C2(587,773) = 1.809491603499131612 C3(587,773) = 5.502629046197328297 C4(587,773) = 6184 Sum = 3835.442979633880197 Averaged sum = 0.3831994184867499447 logp*logq = 42.39569399352759436 -------------- ************************************* p = 587; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.896748537581699806 E18 -------------- Searches starting with [587,787]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(587,787) = 0.7467579813721023856 D2(587,787) = 0.08279816472325851975 C1(587,787) = 1.053414730470071096 C2(587,787) = 1.870559293985360478 C3(587,787) = 7.038061585257942964 C4(587,787) = 6296 Sum = 4326.366412105362985 Averaged sum = 0.4322476183540176825 logp*logq = 42.51012058793977917 -------------- ************************************* p = 587; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.139560183182645197 E18 -------------- Searches starting with [587,797]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(587,797) = 0.6119822170280432729 D2(587,797) = 0.05716406903484293753 C1(587,797) = 0.9787285566724108733 C2(587,797) = 1.865765659201987387 C3(587,797) = 6.128714479892306335 C4(587,797) = 6376 Sum = 3964.307022590473919 Averaged sum = 0.3960742354471449615 logp*logq = 42.59061439495228580 -------------- ************************************* p = 587; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.453377062375671373 E18 -------------- Searches starting with [587,809]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(587,809) = 0.8389090542017374223 D2(587,809) = 0.04037139613575015410 C1(587,809) = 1.142540732729750253 C2(587,809) = 1.871655072732390983 C3(587,809) = 8.301437768583510264 C4(587,809) = 6472 Sum = 4012.509116253273242 Averaged sum = 0.4008901105258540555 logp*logq = 42.68588428482597430 -------------- ************************************* p = 587; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.508166095259795506 E18 -------------- Searches starting with [587,811]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(587,811) = 0.5902120927714356891 D2(587,811) = 0.06147962511623235262 C1(587,811) = 0.8098955297368495369 C2(587,811) = 1.893137649856636516 C3(587,811) = 4.482768157270131816 C4(587,811) = 6488 Sum = 4089.864537944313505 Averaged sum = 0.4086186969671609057 logp*logq = 42.70162509484740445 -------------- ************************************* p = 587; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.793236843033563765 E18 -------------- Searches starting with [587,821]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(587,821) = 1.545362760408289839 D2(587,821) = 0.009217682097049593936 C1(587,821) = 2.500927318355177135 C2(587,821) = 1.864858025044162217 C3(587,821) = 102.7899632229943026 C4(587,821) = 6568 Sum = 1750.355410191649045 Averaged sum = 0.1748781506835497097 logp*logq = 42.77975137678924377 -------------- ************************************* p = 587; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.852532482992610311 E18 -------------- Searches starting with [587,823]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(587,823) = 0.6318655188850969065 D2(587,823) = 0.02747224838210893160 C1(587,823) = 1.022574697150552471 C2(587,823) = 1.883484198675117245 C3(587,823) = 6.647262276090622769 C4(587,823) = 6584 Sum = 3952.973571390296321 Averaged sum = 0.3949419094205511361 logp*logq = 42.79526239373523984 -------------- ************************************* p = 587; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.973470887237031379 E18 -------------- Searches starting with [587,827]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(587,827) = 0.8825075904405299286 D2(587,827) = 0.06660039424368716105 C1(587,827) = 1.239052421833265991 C2(587,827) = 1.923352841625163698 C3(587,827) = 9.926478851816633055 C4(587,827) = 6616 Sum = 4332.657358316229229 Averaged sum = 0.4328761472990537745 logp*logq = 42.82617166553374813 -------------- ************************************* p = 587; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.035130365215943515 E18 -------------- Searches starting with [587,829]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(587,829) = 0.6884681457826603864 D2(587,829) = 0.08775254595772946222 C1(587,829) = 1.036574781902238941 C2(587,829) = 1.944873891853433800 C3(587,829) = 6.821904403114059952 C4(587,829) = 6632 Sum = 3534.522283488927699 Averaged sum = 0.3531344073822487460 logp*logq = 42.84157028369652621 -------------- ************************************* p = 587; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.355670991014583402 E18 -------------- Searches starting with [587,839]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(587,839) = 0.6015556368582764086 D2(587,839) = 0.01438747538152960186 C1(587,839) = 0.9800027507277234023 C2(587,839) = 1.897423430628417108 C3(587,839) = 6.143197180500372361 C4(587,839) = 6712 Sum = 4049.013924201643327 Averaged sum = 0.4045373088422063470 logp*logq = 42.91801034604088297 -------------- ************************************* p = 587; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.840306012332748194 E18 -------------- Searches starting with [587,853]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(587,853) = 0.8070124660801344609 D2(587,853) = 0.1037410544483362120 C1(587,853) = 1.324246024764256383 C2(587,853) = 1.260802205236015918 C3(587,853) = 11.62336648973179314 C4(587,853) = 6824 Sum = 3130.473442654899192 Averaged sum = 0.3127658549959935250 logp*logq = 43.02350961831128739 -------------- ************************************* p = 587; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.986841165443622662 E18 -------------- Searches starting with [587,857]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(587,857) = 0.5942131268780811705 D2(587,857) = 0.1452797589965180904 C1(587,857) = 0.9750337785333512259 C2(587,857) = 1.797654047012166154 C3(587,857) = 6.086911776709640366 C4(587,857) = 6856 Sum = 4063.448929097494714 Averaged sum = 0.4059795113495348900 logp*logq = 43.05333435022904579 -------------- ************************************* p = 587; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.061499993538688077 E18 -------------- Searches starting with [587,859]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(587,859) = 0.7563343087881999142 D2(587,859) = 0.01287256721996135905 C1(587,859) = 1.085006558677693923 C2(587,859) = 1.925898844484210092 C3(587,859) = 7.462221157774284198 C4(587,859) = 6872 Sum = 4429.120914317035962 Averaged sum = 0.4425138289856165412 logp*logq = 43.06819455467293097 -------------- ************************************* p = 587; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.213647850945335997 E18 -------------- Searches starting with [587,863]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(587,863) = 0.6324727059620590646 D2(587,863) = 0.04520822193919340246 C1(587,863) = 0.9620135434269868131 C2(587,863) = 1.958955561155950549 C3(587,863) = 5.941860671117346150 C4(587,863) = 6904 Sum = 3532.529169002862894 Averaged sum = 0.3529352751526489054 logp*logq = 43.09781144798734655 -------------- ************************************* p = 587; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.776908015983962726 E18 -------------- Searches starting with [587,877]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(587,877) = 0.6540705445636410226 D2(587,877) = 0.1253607153208258724 C1(587,877) = 0.9010691135870906841 C2(587,877) = 1.415827939514795007 C3(587,877) = 5.307546093058119241 C4(587,877) = 7016 Sum = 3970.975228599427665 Averaged sum = 0.3967404564491385418 logp*logq = 43.20040026811131194 -------------- ************************************* p = 587; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.946953051061287156 E18 -------------- Searches starting with [587,881]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(587,881) = 0.5482798804618118129 D2(587,881) = 0.001135461989258175187 C1(587,881) = 0.8079053714262321858 C2(587,881) = 1.947133403427648269 C3(587,881) = 4.466272653595909708 C4(587,881) = 7048 Sum = 3881.855132487399786 Averaged sum = 0.3878364604343490644 logp*logq = 43.22941067002773221 -------------- ************************************* p = 587; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.033545658028198459 E18 -------------- Searches starting with [587,883]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(587,883) = 0.5696931169578402466 D2(587,883) = 0.01534542915007212696 C1(587,883) = 0.8085125898398714419 C2(587,883) = 1.961698468008518121 C3(587,883) = 4.471299161746973137 C4(587,883) = 7064 Sum = 4076.437048194892089 Averaged sum = 0.4072771553796475261 logp*logq = 43.24386651481564638 -------------- ************************************* p = 587; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.209923403419687708 E18 -------------- Searches starting with [587,887]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(587,887) = 0.7285832044249538874 D2(587,887) = 0.04518402089959018339 C1(587,887) = 0.9986575377801220619 C2(587,887) = 1.992244835013509127 C3(587,887) = 6.359191352644745097 C4(587,887) = 7096 Sum = 3933.138872769683119 Averaged sum = 0.3929602230761997321 logp*logq = 43.27268023536917552 -------------- ************************************* p = 587; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.158464281592628944 E18 -------------- Searches starting with [587,907]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(587,907) = 0.6833634957901923625 D2(587,907) = 0.1163206031961264946 C1(587,907) = 1.012144223048112802 C2(587,907) = 1.820680673340863836 C3(587,907) = 6.520061426892994306 C4(587,907) = 7256 Sum = 3966.852369946432431 Averaged sum = 0.3963285413074665233 logp*logq = 43.41482714604892003 -------------- ************************************* p = 587; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.362123660301132397 E18 -------------- Searches starting with [587,911]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(587,911) = 1.042896148199737913 D2(587,911) = 0.01444313029854872679 C1(587,911) = 1.605466605744150257 C2(587,911) = 1.997932845309106799 C3(587,911) = 19.56900720653574070 C4(587,911) = 7288 Sum = 4105.349975829145715 Averaged sum = 0.4101658483194270872 logp*logq = 43.44288010581550016 -------------- ************************************* p = 587; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.784127378648527565 E18 -------------- Searches starting with [587,919]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(587,919) = 0.9018455177874812429 D2(587,919) = 0.07042592121960243905 C1(587,919) = 1.241393135160039516 C2(587,919) = 2.055297930289107404 C3(587,919) = 9.969612607652550572 C4(587,919) = 7352 Sum = 4090.248695156961649 Averaged sum = 0.4086570781453653361 logp*logq = 43.49861838280611469 -------------- ************************************* p = 587; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.340149629939721470 E18 -------------- Searches starting with [587,929]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(587,929) = 0.6775670582626494677 D2(587,929) = 0.1022700552423265002 C1(587,929) = 0.9338263743238105048 C2(587,929) = 1.425816767067859426 C3(587,929) = 5.639575266185343664 C4(587,929) = 7432 Sum = 4109.825320495897158 Averaged sum = 0.4106129803672591825 logp*logq = 43.56761283134231034 -------------- ************************************* p = 587; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.808737129904240462 E18 -------------- Searches starting with [587,937]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(587,937) = 0.5532121043788883878 D2(587,937) = 0.1005275337680119731 C1(587,937) = 0.7684018065360203534 C2(587,937) = 1.835073388265728052 C3(587,937) = 4.151120399442537510 C4(587,937) = 7496 Sum = 3923.888546978949066 Averaged sum = 0.3920360222778448462 logp*logq = 43.62227575849272505 -------------- ************************************* p = 587; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.051231093721589340 E18 -------------- Searches starting with [587,941]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(587,941) = 0.9182253712278734256 D2(587,941) = 0.09831261047102429378 C1(587,941) = 1.423358358047790967 C2(587,941) = 1.833586002481365518 C3(587,941) = 13.96580608955976074 C4(587,941) = 7528 Sum = 3688.831143992926302 Averaged sum = 0.3685514181229819464 logp*logq = 43.64943245480850584 -------------- ************************************* p = 587; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.425512823863163595 E18 -------------- Searches starting with [587,947]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(587,947) = 0.9139343348147651135 D2(587,947) = 0.02683338255118794615 C1(587,947) = 1.364046248091003416 C2(587,947) = 2.052564985570028109 C3(587,947) = 12.51268437818816729 C4(587,947) = 7576 Sum = 3747.853351395093627 Averaged sum = 0.3744483316410324335 logp*logq = 43.68995181676663523 -------------- ************************************* p = 587; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.812760115718480738 E18 -------------- Searches starting with [587,953]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(587,953) = 0.6450788671362766879 D2(587,953) = 0.06505227883635523293 C1(587,953) = 0.8742165656869028539 C2(587,953) = 2.091792781889615741 C3(587,953) = 5.050000094460237238 C4(587,953) = 7624 Sum = 3642.334181851572549 Averaged sum = 0.3639059028725719401 logp*logq = 43.73021526525825500 -------------- ************************************* p = 587; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.076881385621462183 E19 -------------- Searches starting with [587,967]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(587,967) = 0.5364101420731215377 D2(587,967) = 0.08584272282941305853 C1(587,967) = 0.7843729470415381942 C2(587,967) = 1.853345390760056431 C3(587,967) = 4.275764951237886543 C4(587,967) = 7736 Sum = 3822.363931420778805 Averaged sum = 0.3818926897213286846 logp*logq = 43.82318602493970934 -------------- ************************************* p = 587; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.105596697931074414 E19 -------------- Searches starting with [587,971]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(587,971) = 1.411048908327772072 D2(587,971) = 0.08377088781134918256 C1(587,971) = 2.114902232339536816 C2(587,971) = 1.851988452326977276 C3(587,971) = 50.28060836777178441 C4(587,971) = 7768 Sum = 5869.289113906836729 Averaged sum = 0.5864011503553638454 logp*logq = 43.84950195423773055 -------------- ************************************* p = 587; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.149878761070107443 E19 -------------- Searches starting with [587,977]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(587,977) = 0.8348678861050664389 D2(587,977) = 0.08070363316032135594 C1(587,977) = 1.304107147162001408 C2(587,977) = 1.849987942496152475 C3(587,977) = 11.19774489871890689 C4(587,977) = 7816 Sum = 3367.146884266054448 Averaged sum = 0.3364119177006748374 logp*logq = 43.88877327854797597 -------------- ************************************* p = 587; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.195646923865834203 E19 -------------- Searches starting with [587,983]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(587,983) = 0.7519688751409484416 D2(587,983) = 0.07173426459471095991 C1(587,983) = 1.031090938138293337 C2(587,983) = 1.706497082434555380 C3(587,983) = 6.752956875344022464 C4(587,983) = 7864 Sum = 3954.846613357775689 Averaged sum = 0.3951290451951019771 logp*logq = 43.92780416467202864 -------------- ************************************* p = 587; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.259052701978627271 E19 -------------- Searches starting with [587,991]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(587,991) = 0.6207848694133753290 D2(587,991) = 0.03791596490395288636 C1(587,991) = 0.8839635000494542882 C2(587,991) = 2.111761732745403105 C3(587,991) = 5.142006464762692065 C4(587,991) = 7928 Sum = 4169.722865881797666 Averaged sum = 0.4165973489741030738 logp*logq = 43.97947638126250198 -------------- ************************************* p = 587; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.308446775697682584 E19 -------------- Searches starting with [587,997]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(587,997) = 0.9035194591704542698 D2(587,997) = 0.04611658442236221318 C1(587,997) = 1.556090942962892946 C2(587,997) = 1.200637621667038481 C3(587,997) = 17.85858179088026635 C4(587,997) = 7976 Sum = 3188.966018915991412 Averaged sum = 0.3186098530238776513 logp*logq = 44.01795753323387863 -------------- ************************************* p = 593; q = 599; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 542513050584012500.8 -------------- Searches starting with [593,599]-exponents: u = 1, v = 634 n_start has 1764 digits --- performed 5000 steps in the continued fraction search [593,599]-exponents: u = 583, v = 45 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(593,599) = 0.7167817890740726300 D2(593,599) = 0.2255302930774211241 C1(593,599) = 0.9226971653487781300 C2(593,599) = 1.248393297541687285 C3(593,599) = 5.532633242432741229 C4(593,599) = 4792 Sum = 5532.945263670970393 Averaged sum = 0.5533498613532323625 logp*logq = 40.83498853641200981 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(593,599) = 0.7167817890740726300 D2(593,599) = 0.2255302930774211241 C1(593,599) = 0.9226971653487781300 C2(593,599) = 1.248393297541687285 C3(593,599) = 5.532633242432741229 C4(593,599) = 4792 Sum = 5532.945263670970393 Averaged sum = 0.5533498613532323625 logp*logq = 40.83498853641200981 -------------- ************************************* p = 593; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 554183656943864111.7 -------------- Searches starting with [593,601]-exponents: u = 1, v = 476 n_start has 1326 digits --- performed 5000 steps in the continued fraction search [593,601]-exponents: u = 285, v = 182 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(593,601) = 0.6266443873369223899 D2(593,601) = 0.1444127371499629107 C1(593,601) = 0.8150164460254659936 C2(593,601) = 1.207013574724685059 C3(593,601) = 4.531376551513039494 C4(593,601) = 4808 Sum = 5375.394594317339376 Averaged sum = 0.5375932187536092985 logp*logq = 40.85627253744942520 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(593,601) = 0.6266443873369223899 D2(593,601) = 0.1444127371499629107 C1(593,601) = 0.8150164460254659936 C2(593,601) = 1.207013574724685059 C3(593,601) = 4.531376551513039494 C4(593,601) = 4808 Sum = 5375.394594317339376 Averaged sum = 0.5375932187536092985 logp*logq = 40.85627253744942520 -------------- ************************************* p = 593; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 590474084669657058.0 -------------- Searches starting with [593,607]-exponents: u = 1, v = 273 n_start has 763 digits --- performed 5000 steps in the continued fraction search [593,607]-exponents: u = 239, v = 17 --- starting right neighbors generation We generated 8059 left neighbors We generated 1951 right neighbors We generated 10009 non-negative rho_i D1(593,607) = 0.6387383664803921446 D2(593,607) = 0.0004203077078505012020 C1(593,607) = 0.8495729139805163627 C2(593,607) = 1.154492844847714391 C3(593,607) = 4.831190101668038520 C4(593,607) = 4856 Sum = 5044.547748200770531 Averaged sum = 0.5040011737636897323 logp*logq = 40.91970214248877308 -------------- ************************************* p = 593; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 628748568550810524.7 -------------- Searches starting with [593,613]-exponents: u = 1, v = 192 n_start has 538 digits starting right neighbors generation We generated 4036 left neighbors We generated 5974 right neighbors We generated 10009 non-negative rho_i D1(593,613) = 0.5759884748367971620 D2(593,613) = 0.003817675169194080455 C1(593,613) = 0.7789027444896331715 C2(593,613) = 1.216636486094737986 C3(593,613) = 4.237915909306985379 C4(593,613) = 4904 Sum = 4745.916921897932341 Averaged sum = 0.4741649437404268500 logp*logq = 40.98250783966329198 -------------- ************************************* p = 593; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 655410207645632668.3 -------------- Searches starting with [593,617]-exponents: u = 1, v = 160 n_start has 450 digits starting right neighbors generation We generated 2762 left neighbors We generated 7248 right neighbors We generated 10009 non-negative rho_i D1(593,617) = 0.8676254753735532616 D2(593,617) = 0.006244856833503742809 C1(593,617) = 1.183798743040652301 C2(593,617) = 1.251387402052096454 C3(593,617) = 8.977679887727851364 C4(593,617) = 4936 Sum = 4907.416770969326166 Averaged sum = 0.4903004067308748292 logp*logq = 41.02403770573466571 -------------- ************************************* p = 593; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 669094555297162305.3 -------------- Searches starting with [593,619]-exponents: u = 1, v = 148 n_start has 416 digits starting right neighbors generation We generated 2413 left neighbors We generated 7597 right neighbors We generated 10009 non-negative rho_i D1(593,619) = 0.6934683531378156534 D2(593,619) = 0.004507378483711637357 C1(593,619) = 0.9500581314601355645 C2(593,619) = 1.264692584824760463 C3(593,619) = 5.820525868876105889 C4(593,619) = 4952 Sum = 4764.756570094641000 Averaged sum = 0.4760472145163993406 logp*logq = 41.04470178331342970 -------------- ************************************* p = 593; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 756365622725237988.5 -------------- Searches starting with [593,631]-exponents: u = 1, v = 102 n_start has 289 digits starting right neighbors generation We generated 1181 left neighbors We generated 8829 right neighbors We generated 10009 non-negative rho_i D1(593,631) = 0.6760334264032599155 D2(593,631) = 0.007034624171189248318 C1(593,631) = 0.9458973950864440403 C2(593,631) = 1.342374524915624155 C3(593,631) = 5.775799469274662154 C4(593,631) = 5048 Sum = 4670.194011353074995 Averaged sum = 0.4665994616198496348 logp*logq = 41.16730128212335346 -------------- ************************************* p = 593; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 836246222277632344.5 -------------- Searches starting with [593,641]-exponents: u = 1, v = 82 n_start has 233 digits starting right neighbors generation We generated 794 left neighbors We generated 9216 right neighbors We generated 10009 non-negative rho_i D1(593,641) = 0.9415055173345052474 D2(593,641) = 0.02275782574056160031 C1(593,641) = 1.336526836977561454 C2(593,641) = 1.407238372273782000 C3(593,641) = 11.91617369895942007 C4(593,641) = 5128 Sum = 3804.699679779997309 Averaged sum = 0.3801278529103803886 logp*logq = 41.26769948888717366 -------------- ************************************* p = 593; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 853047030520320096.8 -------------- Searches starting with [593,643]-exponents: u = 1, v = 78 n_start has 222 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(593,643) = 0.7396024139641209843 D2(593,643) = 0.01861643494077329125 C1(593,643) = 1.052519159811019288 C2(593,643) = 1.412844506804021794 C3(593,643) = 7.038193335572466044 C4(593,643) = 5144 Sum = 4799.197475184688821 Averaged sum = 0.4794882081311508463 logp*logq = 41.28759107631073930 -------------- ************************************* p = 593; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 887503897696070961.5 -------------- Searches starting with [593,647]-exponents: u = 1, v = 73 n_start has 208 digits starting right neighbors generation We generated 638 left neighbors We generated 9372 right neighbors We generated 10009 non-negative rho_i D1(593,647) = 0.6099525266358067323 D2(593,647) = 0.02043585763554154875 C1(593,647) = 0.8726933983218595710 C2(593,647) = 1.432275835896218575 C3(593,647) = 5.042781402701571941 C4(593,647) = 5176 Sum = 3608.755333981526180 Averaged sum = 0.3605510374644346268 logp*logq = 41.32718930802083313 -------------- ************************************* p = 593; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 941386310872542200.9 -------------- Searches starting with [593,653]-exponents: u = 1, v = 66 n_start has 189 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(593,653) = 0.6140765953364673330 D2(593,653) = 0.03201800921449445057 C1(593,653) = 0.8848459871983142423 C2(593,653) = 1.467633620176569464 C3(593,653) = 5.157688302507633409 C4(593,653) = 5224 Sum = 3459.394431028599143 Averaged sum = 0.3456283775630531664 logp*logq = 41.38612998252762388 -------------- ************************************* p = 593; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 998001882954304003.3 -------------- Searches starting with [593,659]-exponents: u = 1, v = 60 n_start has 172 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(593,659) = 0.9896381135866958426 D2(593,659) = 0.002234897988614064699 C1(593,659) = 1.370914413784497112 C2(593,659) = 1.464880634072072896 C3(593,659) = 12.70061678321663601 C4(593,659) = 5272 Sum = 4454.286283702663544 Averaged sum = 0.4450281030774966075 logp*logq = 41.44453155794812889 -------------- ************************************* p = 593; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.017500340316693190 E18 -------------- Searches starting with [593,661]-exponents: u = 1, v = 58 n_start has 167 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(593,661) = 0.6575822536946015068 D2(593,661) = 0.02178547016152496659 C1(593,661) = 0.9553455710572139444 C2(593,661) = 1.489513708866189453 C3(593,661) = 5.877864000161679456 C4(593,661) = 5288 Sum = 4493.205210533032964 Averaged sum = 0.4489164962067172509 logp*logq = 41.46388064669095991 -------------- ************************************* p = 593; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.141368673033411826 E18 -------------- Searches starting with [593,673]-exponents: u = 1, v = 50 n_start has 145 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(593,673) = 0.6906290704076439982 D2(593,673) = 0.0009677137257559722516 C1(593,673) = 0.9668941602817581425 C2(593,673) = 1.513428715830653816 C3(593,673) = 6.005071165092761737 C4(593,673) = 5384 Sum = 4227.627885171006296 Averaged sum = 0.4223826441373769903 logp*logq = 41.57875980654711336 -------------- ************************************* p = 593; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.185383596599754319 E18 -------------- Searches starting with [593,677]-exponents: u = 1, v = 48 n_start has 139 digits starting right neighbors generation We generated 328 left neighbors We generated 9682 right neighbors We generated 10009 non-negative rho_i D1(593,677) = 0.9448872561151213568 D2(593,677) = 0.001585722878470627902 C1(593,677) = 1.263088601888007029 C2(593,677) = 1.527054871930774072 C3(593,677) = 10.39935152134129117 C4(593,677) = 5416 Sum = 2972.891992554705102 Averaged sum = 0.2970218795638630335 logp*logq = 41.61659810630783395 -------------- ************************************* p = 593; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.254085659044884987 E18 -------------- Searches starting with [593,683]-exponents: u = 1, v = 45 n_start has 131 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(593,683) = 0.6623635926488243245 D2(593,683) = 0.03828057131339547098 C1(593,683) = 0.8880004696099636630 C2(593,683) = 1.577957745037200220 C3(593,683) = 5.187940663481428277 C4(593,683) = 5464 Sum = 3048.913757912809321 Averaged sum = 0.3046172202930172166 logp*logq = 41.67293842241885544 -------------- ************************************* p = 593; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.350887938811996038 E18 -------------- Searches starting with [593,691]-exponents: u = 1, v = 41 n_start has 120 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(593,691) = 0.5765493300298287286 D2(593,691) = 0.04643706375705822277 C1(593,691) = 0.8607437386655282488 C2(593,691) = 1.608940808995332406 C3(593,691) = 4.932289798234277795 C4(593,691) = 5528 Sum = 4145.941685383895976 Averaged sum = 0.4142213693060141848 logp*logq = 41.74729378258530159 -------------- ************************************* p = 593; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.480685247646653305 E18 -------------- Searches starting with [593,701]-exponents: u = 1, v = 38 n_start has 111 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(593,701) = 0.7682729473182127292 D2(593,701) = 0.06625203466708803917 C1(593,701) = 1.029165310293051973 C2(593,701) = 1.654409950883526477 C3(593,701) = 6.739959349274991248 C4(593,701) = 5608 Sum = 3062.385132328125064 Averaged sum = 0.3059631464010515600 logp*logq = 41.83903665968168538 -------------- ************************************* p = 593; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.591953486464390551 E18 -------------- Searches starting with [593,709]-exponents: u = 1, v = 35 n_start has 103 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(593,709) = 0.7092526980725603381 D2(593,709) = 0.009512150053667386951 C1(593,709) = 0.9727452243954677630 C2(593,709) = 1.625893189550391906 C3(593,709) = 6.070567380504622933 C4(593,709) = 5672 Sum = 4123.249205587806662 Averaged sum = 0.4119541618131488322 logp*logq = 41.91149354384320660 -------------- ************************************* p = 593; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.740881901573451922 E18 -------------- Searches starting with [593,719]-exponents: u = 1, v = 33 n_start has 98 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(593,719) = 0.8242537867963015014 D2(593,719) = 0.03489429686486118652 C1(593,719) = 1.103293648244896823 C2(593,719) = 1.673012586046713620 C3(593,719) = 7.732919634945179591 C4(593,719) = 5752 Sum = 3112.579923496796154 Averaged sum = 0.3109781120488356632 logp*logq = 42.00092349870400106 -------------- ************************************* p = 593; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.868329592944962542 E18 -------------- Searches starting with [593,727]-exponents: u = 1, v = 31 n_start has 92 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(593,727) = 0.8311936569270413192 D2(593,727) = 0.004802776944051518722 C1(593,727) = 1.168050045223454756 C2(593,727) = 1.666175135814820748 C3(593,727) = 8.719341188422957076 C4(593,727) = 5816 Sum = 4422.643088693391511 Averaged sum = 0.4418666289033261575 logp*logq = 42.07157643975484036 -------------- ************************************* p = 593; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.969000613360833182 E18 -------------- Searches starting with [593,733]-exponents: u = 1, v = 30 n_start has 89 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(593,733) = 0.6829656966221854256 D2(593,733) = 0.01201054809748275928 C1(593,733) = 1.051707817002502714 C2(593,733) = 1.686227789474619185 C3(593,733) = 7.027614338752887877 C4(593,733) = 5864 Sum = 3272.194806673740381 Averaged sum = 0.3269252479442242363 logp*logq = 42.12405778505856532 -------------- ************************************* p = 593; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.074208457533434543 E18 -------------- Searches starting with [593,739]-exponents: u = 1, v = 29 n_start has 86 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(593,739) = 1.164896157618584408 D2(593,739) = 0.01209831496560111826 C1(593,739) = 1.799879505363592122 C2(593,739) = 1.699776606628444162 C3(593,739) = 28.13302318158192477 C4(593,739) = 5912 Sum = 2264.658677095628936 Averaged sum = 0.2262622317010319649 logp*logq = 42.17611128854977868 -------------- ************************************* p = 593; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.146948827763971928 E18 -------------- Searches starting with [593,743]-exponents: u = 1, v = 28 n_start has 84 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(593,743) = 0.6968692345050519719 D2(593,743) = 0.07332481430984535871 C1(593,743) = 0.9854298287866798953 C2(593,743) = 1.761784068433934702 C3(593,743) = 6.215020982108072989 C4(593,743) = 5944 Sum = 4063.511255992284128 Averaged sum = 0.4059857384346372393 logp*logq = 42.21057935820825301 -------------- ************************************* p = 593; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.298899677190975179 E18 -------------- Searches starting with [593,751]-exponents: u = 1, v = 27 n_start has 81 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(593,751) = 0.9429668105815799999 D2(593,751) = 0.09485186091365123173 C1(593,751) = 1.467624108482524324 C2(593,751) = 1.797833791896878075 C3(593,751) = 15.19472890014478059 C4(593,751) = 6008 Sum = 2094.802331376839276 Averaged sum = 0.2092918704542750800 logp*logq = 42.27896228113623694 -------------- ************************************* p = 593; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.418727174560739181 E18 -------------- Searches starting with [593,757]-exponents: u = 1, v = 26 n_start has 78 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(593,757) = 0.6376576526076593632 D2(593,757) = 0.07299476767166476048 C1(593,757) = 0.9963775786642307734 C2(593,757) = 1.790855952138165378 C3(593,757) = 6.342455723245292411 C4(593,757) = 6056 Sum = 3705.046985956754218 Averaged sum = 0.3701715442058901206 logp*logq = 42.32977311477013662 -------------- ************************************* p = 593; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.501503827755611118 E18 -------------- Searches starting with [593,761]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(593,761) = 0.9061703545645785608 D2(593,761) = 0.01834266297524104435 C1(593,761) = 1.249708908469006924 C2(593,761) = 1.751521989646746493 C3(593,761) = 10.14456141384721377 C4(593,761) = 6088 Sum = 4008.811728915470607 Averaged sum = 0.4005207042577151171 logp*logq = 42.36342375602190823 -------------- ************************************* p = 593; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.674241972504230439 E18 -------------- Searches starting with [593,769]-exponents: u = 1, v = 24 n_start has 73 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(593,769) = 0.5741153124271902018 D2(593,769) = 0.01043775972767577687 C1(593,769) = 0.8448365996006671756 C2(593,769) = 1.760622526819687729 C3(593,769) = 4.788952936401490608 C4(593,769) = 6152 Sum = 3745.108605784541557 Averaged sum = 0.3741741038849576938 logp*logq = 42.43019763931780313 -------------- ************************************* p = 593; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.764314984077278219 E18 -------------- Searches starting with [593,773]-exponents: u = 1, v = 24 n_start has 73 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(593,773) = 0.7399598313921112904 D2(593,773) = 0.06065463455824839138 C1(593,773) = 1.166175095520227732 C2(593,773) = 1.811606029089780968 C3(593,773) = 8.689084305814215398 C4(593,773) = 6184 Sum = 3001.194648676519928 Averaged sum = 0.2998496002274472902 logp*logq = 42.46332453281232920 -------------- ************************************* p = 593; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.099999620712833430 E18 -------------- Searches starting with [593,787]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(593,787) = 0.5905269754161159546 D2(593,787) = 0.1191378804442552091 C1(593,787) = 0.8748948879113652560 C2(593,787) = 1.889248799982422029 C3(593,787) = 5.063405686183806512 C4(593,787) = 6296 Sum = 3746.968147241055604 Averaged sum = 0.3743598908223654315 logp*logq = 42.57793366303321650 -------------- ************************************* p = 593; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.360279656578696106 E18 -------------- Searches starting with [593,797]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(593,797) = 0.7946966094747954010 D2(593,797) = 0.1032773872965844985 C1(593,797) = 1.106359881973204583 C2(593,797) = 1.892927078185377147 C3(593,797) = 7.777004474269907618 C4(593,797) = 6376 Sum = 4125.387668485568823 Averaged sum = 0.4121678158143239907 logp*logq = 42.65855587552902924 -------------- ************************************* p = 593; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.696720473630893125 E18 -------------- Searches starting with [593,809]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(593,809) = 0.5908146358616030230 D2(593,809) = 0.09795632741088576802 C1(593,809) = 0.8820507829107993751 C2(593,809) = 1.908807880813223398 C3(593,809) = 5.131028967172228033 C4(593,809) = 6472 Sum = 3786.445482178200810 Averaged sum = 0.3783040745507244290 logp*logq = 42.75397774201691678 -------------- ************************************* p = 593; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.755464533549857243 E18 -------------- Searches starting with [593,811]-exponents: u = 1, v = 20 n_start has 61 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(593,811) = 0.7482445575203235362 D2(593,811) = 0.1242099033755606085 C1(593,811) = 1.045116525639637694 C2(593,811) = 1.935433182951884505 C3(593,811) = 6.942258533911780941 C4(593,811) = 6488 Sum = 4198.961239166908507 Averaged sum = 0.4195185572151971732 logp*logq = 42.76974366212312796 -------------- ************************************* p = 593; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.061136655856717093 E18 -------------- Searches starting with [593,821]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(593,821) = 0.5399645304870701582 D2(593,821) = 0.07508439428902144127 C1(593,821) = 0.7825261705469444862 C2(593,821) = 1.908600335491299383 C3(593,821) = 4.266481078278868661 C4(593,821) = 6568 Sum = 3955.720644451925794 Averaged sum = 0.3952163697124513732 logp*logq = 42.84799457282044524 -------------- ************************************* p = 593; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.124722147711569387 E18 -------------- Searches starting with [593,823]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(593,823) = 0.7885410993335910028 D2(593,823) = 0.09804558169660064390 C1(593,823) = 1.182216225892414810 C2(593,823) = 1.931930372844943052 C3(593,823) = 8.951378352828545718 C4(593,823) = 6584 Sum = 3832.300077398495308 Averaged sum = 0.3828854108700664710 logp*logq = 42.86353033328027724 -------------- ************************************* p = 593; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.254414876924486945 E18 -------------- Searches starting with [593,827]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(593,827) = 0.8310002735474444131 D2(593,827) = 0.1401977982313235054 C1(593,827) = 1.164828932994146653 C2(593,827) = 1.466566212706700453 C3(593,827) = 8.667425466917814649 C4(593,827) = 6616 Sum = 4074.939442454246836 Averaged sum = 0.4071275294689026712 logp*logq = 42.89448891222589699 -------------- ************************************* p = 593; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.320540113476905815 E18 -------------- Searches starting with [593,829]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(593,829) = 1.316895972147675903 D2(593,829) = 0.001433585510407297292 C1(593,829) = 1.735543184679740388 C2(593,829) = 1.858554931406111635 C3(593,829) = 24.96976548045025953 C4(593,829) = 6632 Sum = 2899.702918364449014 Averaged sum = 0.2897095532385302242 logp*logq = 42.90991209460151110 -------------- ************************************* p = 593; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.664321700540788580 E18 -------------- Searches starting with [593,839]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(593,839) = 1.191364401203447950 D2(593,839) = 0.09892997564966560605 C1(593,839) = 1.674185820129100219 C2(593,839) = 1.957882486415929702 C3(593,839) = 22.28492111852331728 C4(593,839) = 6712 Sum = 4823.794107295178402 Averaged sum = 0.4819456596358455791 logp*logq = 42.98647409580692523 -------------- ************************************* p = 593; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.184171229743886002 E18 -------------- Searches starting with [593,853]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(593,853) = 0.5651566246890620242 D2(593,853) = 0.05721473250337602191 C1(593,853) = 0.7804175916960630252 C2(593,853) = 1.942797858597800863 C3(593,853) = 4.249834822702198655 C4(593,853) = 6824 Sum = 3857.133567642216419 Averaged sum = 0.3853665268900206233 logp*logq = 43.09214166282629363 -------------- ************************************* p = 593; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.341370659882435933 E18 -------------- Searches starting with [593,857]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(593,857) = 0.8479101258717804287 D2(593,857) = 0.09607267680521957845 C1(593,857) = 1.240195397278809969 C2(593,857) = 1.982375845618318915 C3(593,857) = 9.967201601716656240 C4(593,857) = 6856 Sum = 4542.359886063842920 Averaged sum = 0.4538275438169490378 logp*logq = 43.12201397180940043 -------------- ************************************* p = 593; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.421465724050832993 E18 -------------- Searches starting with [593,859]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(593,859) = 0.5746130494712245462 D2(593,859) = 0.1171491742048782600 C1(593,859) = 0.8229133138311961406 C2(593,859) = 2.003811097708504155 C3(593,859) = 4.598206876749313017 C4(593,859) = 6872 Sum = 3724.279167075509723 Averaged sum = 0.3720930329778708884 logp*logq = 43.13689788157676905 -------------- ************************************* p = 593; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.584697937824428462 E18 -------------- Searches starting with [593,863]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(593,863) = 1.062441055474773349 D2(593,863) = 0.09591015349727163484 C1(593,863) = 1.743939814840052982 C2(593,863) = 1.173517762857403401 C3(593,863) = 25.36151614879493537 C4(593,863) = 6904 Sum = 1419.700596980747668 Averaged sum = 0.1418424015366917442 logp*logq = 43.16656202040784247 -------------- ************************************* p = 593; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.189057532058631490 E18 -------------- Searches starting with [593,877]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(593,877) = 0.6835290119143065476 D2(593,877) = 0.08521155712774667797 C1(593,877) = 1.004250923936660257 C2(593,877) = 2.001456408877255913 C3(593,877) = 6.435715807183266276 C4(593,877) = 7016 Sum = 3594.462998454962735 Averaged sum = 0.3591230890653374698 logp*logq = 43.26931449246378539 -------------- ************************************* p = 593; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.371529167809286974 E18 -------------- Searches starting with [593,881]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(593,881) = 0.6278697882188004538 D2(593,881) = 0.1068592905071650463 C1(593,881) = 1.038800300348953468 C2(593,881) = 1.417828811411065857 C3(593,881) = 6.861437659598881044 C4(593,881) = 7048 Sum = 4006.346036246175306 Averaged sum = 0.4002743567035843047 logp*logq = 43.29837117240850669 -------------- ************************************* p = 593; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.464453028281248099 E18 -------------- Searches starting with [593,883]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(593,883) = 0.8929690468376574345 D2(593,883) = 0.08967949219057091184 C1(593,883) = 1.477333718593045300 C2(593,883) = 1.200812509391512633 C3(593,883) = 15.47073270721134019 C4(593,883) = 7064 Sum = 2356.466199022848871 Averaged sum = 0.2354347286465030344 logp*logq = 43.31285007747652790 -------------- ************************************* p = 593; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.653733251935416079 E18 -------------- Searches starting with [593,887]-exponents: u = 1, v = 15 n_start has 47 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(593,887) = 0.9273006973900575882 D2(593,887) = 0.1312697563364573103 C1(593,887) = 1.287668213426059985 C2(593,887) = 1.446138990815248516 C3(593,887) = 10.88421534567741874 C4(593,887) = 7096 Sum = 4152.135323651918914 Averaged sum = 0.4148401762066059460 logp*logq = 43.34170976230794177 -------------- ************************************* p = 593; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.671803732633452242 E18 -------------- Searches starting with [593,907]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(593,907) = 0.9741281594316486293 D2(593,907) = 0.07685968485647409300 C1(593,907) = 1.625535982390946010 C2(593,907) = 1.151488664987993983 C3(593,907) = 20.36289447592757531 C4(593,907) = 7256 Sum = 1395.669012403834601 Averaged sum = 0.1394414039768043362 logp*logq = 43.48408342885181715 -------------- ************************************* p = 593; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.890420789365696855 E18 -------------- Searches starting with [593,911]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(593,911) = 0.6736248925533064367 D2(593,911) = 0.1181835874666266665 C1(593,911) = 0.9314366491225976964 C2(593,911) = 1.449279175053822402 C3(593,911) = 5.623007827039272441 C4(593,911) = 7288 Sum = 4114.710651476142723 Averaged sum = 0.4111010741808515059 logp*logq = 43.51218113931401832 -------------- ************************************* p = 593; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.343448810505078427 E18 -------------- Searches starting with [593,919]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(593,919) = 0.6881101590169852380 D2(593,919) = 0.001404656793415572013 C1(593,919) = 0.9600465270307766529 C2(593,919) = 1.986276665862920537 C3(593,919) = 5.929316340528819205 C4(593,919) = 7352 Sum = 4082.610293633264370 Averaged sum = 0.4078939248309785563 logp*logq = 43.56800833122444175 -------------- ************************************* p = 593; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.940407477833306730 E18 -------------- Searches starting with [593,929]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(593,929) = 0.7620304554135915405 D2(593,929) = 0.06951407879719636000 C1(593,929) = 1.049184530896796525 C2(593,929) = 2.056097043826595064 C3(593,929) = 6.994815046813072470 C4(593,929) = 7432 Sum = 3863.824223865507966 Averaged sum = 0.3860349908947455257 logp*logq = 43.63711284121553110 -------------- ************************************* p = 593; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.443543627347898276 E18 -------------- Searches starting with [593,937]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(593,937) = 0.8592308127966251533 D2(593,937) = 0.07761801880147483777 C1(593,937) = 1.447476335151896029 C2(593,937) = 1.233721970991637121 C3(593,937) = 14.63762073221018172 C4(593,937) = 7496 Sum = 3406.298709849264948 Averaged sum = 0.3403235797631396691 logp*logq = 43.69186296786414553 -------------- ************************************* p = 593; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.703933426925159988 E18 -------------- Searches starting with [593,941]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(593,941) = 0.6721508122964108452 D2(593,941) = 0.1035959661187584661 C1(593,941) = 0.9497753202975297415 C2(593,941) = 1.838589334031371521 C3(593,941) = 5.817474811196777526 C4(593,941) = 7528 Sum = 4229.339895324129505 Averaged sum = 0.4225536912103236592 logp*logq = 43.71906298513646753 -------------- ************************************* p = 593; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.010585855443661709 E19 -------------- Searches starting with [593,947]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(593,947) = 0.5828689833311428477 D2(593,947) = 0.1002647125401877348 C1(593,947) = 0.8684330459805743270 C2(593,947) = 1.836343481078859679 C3(593,947) = 5.003107298952409772 C4(593,947) = 7576 Sum = 3744.621434492405161 Averaged sum = 0.3741254305617349546 logp*logq = 43.75964698446793771 -------------- ************************************* p = 593; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.052173363781245147 E19 -------------- Searches starting with [593,953]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(593,953) = 0.6177702784834024160 D2(593,953) = 0.0004531566243541938364 C1(593,953) = 0.9579052099694575662 C2(593,953) = 2.027193659677614702 C3(593,953) = 5.905823836199462615 C4(593,953) = 7624 Sum = 3733.284166792452883 Averaged sum = 0.3729927232283397824 logp*logq = 43.79997466209413344 -------------- ************************************* p = 593; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.154857504782541655 E19 -------------- Searches starting with [593,967]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(593,967) = 0.7915951749877003691 D2(593,967) = 0.06246531999429745855 C1(593,967) = 1.347770386285525214 C2(593,967) = 1.275841652790606586 C3(593,967) = 12.16717739854017551 C4(593,967) = 7736 Sum = 3633.735296692728677 Averaged sum = 0.3630467875604684461 logp*logq = 43.89309373076696621 -------------- ************************************* p = 593; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.185701844289983711 E19 -------------- Searches starting with [593,971]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(593,971) = 0.8135709892199608147 D2(593,971) = 0.06916852321900324548 C1(593,971) = 1.385118223191938331 C2(593,971) = 1.267096883651351027 C3(593,971) = 13.03951241022660491 C4(593,971) = 7768 Sum = 3741.564531920725059 Averaged sum = 0.3738200151784119352 logp*logq = 43.91945163981157385 -------------- ************************************* p = 593; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.233269587346840819 E19 -------------- Searches starting with [593,977]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(593,977) = 0.5806972706344921451 D2(593,977) = 0.08575697246037305493 C1(593,977) = 0.8349663232481990809 C2(593,977) = 1.854750360928333648 C3(593,977) = 4.702115340080978799 C4(593,977) = 7816 Sum = 4067.996872943088363 Averaged sum = 0.4064338967872003560 logp*logq = 43.95878561059817917 -------------- ************************************* p = 593; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.282436767507350145 E19 -------------- Searches starting with [593,983]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(593,983) = 0.6058087137812233922 D2(593,983) = 0.08269036469064981773 C1(593,983) = 0.8299636054521945817 C2(593,983) = 1.852743825299515444 C3(593,983) = 4.658705087953338236 C4(593,983) = 7864 Sum = 3929.186719733807014 Averaged sum = 0.3925653631465488075 logp*logq = 43.99787875964633291 -------------- ************************************* p = 593; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.350556376111906135 E19 -------------- Searches starting with [593,991]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(593,991) = 0.6090929117192666740 D2(593,991) = 0.07265014943827343682 C1(593,991) = 0.8576472399925870210 C2(593,991) = 1.708454094255992985 C3(593,991) = 4.904055371896227140 C4(593,991) = 7928 Sum = 3885.119473279319799 Averaged sum = 0.3881626009870436406 logp*logq = 44.04963340488804108 -------------- ************************************* p = 593; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.403626403679220251 E19 -------------- Searches starting with [593,997]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 38 left neighbors We generated 9972 right neighbors We generated 10009 non-negative rho_i D1(593,997) = 0.6616167116009596499 D2(593,997) = 0.01078280552303145795 C1(593,997) = 0.9322411175907902177 C2(593,997) = 2.085603712760678510 C3(593,997) = 5.631400631817654868 C4(593,997) = 7976 Sum = 4025.059101379755095 Averaged sum = 0.4021439805554755814 logp*logq = 44.08817594283556237 -------------- ************************************* p = 599; q = 601; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 591056770884153204.2 -------------- Searches starting with [599,601]-exponents: u = 1, v = 1918 n_start has 5333 digits --- performed 5000 steps in the continued fraction search [599,601]-exponents: u = 1165, v = 752 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(599,601) = 0.6641710729619398583 D2(599,601) = 0.4435517136674438427 C1(599,601) = 0.8271974419199600449 C2(599,601) = 1.344222101392796278 C3(599,601) = 4.640918437158324569 C4(599,601) = 4808 Sum = 6055.884258298599191 Averaged sum = 0.6056489907289328124 logp*logq = 40.92068846672905063 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(599,601) = 0.6641710729619398583 D2(599,601) = 0.4435517136674438427 C1(599,601) = 0.8271974419199600449 C2(599,601) = 1.344222101392796278 C3(599,601) = 4.640918437158324569 C4(599,601) = 4808 Sum = 6055.884258298599191 Averaged sum = 0.6056489907289328124 logp*logq = 40.92068846672905063 -------------- ************************************* p = 599; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 629824798423874958.3 -------------- Searches starting with [599,607]-exponents: u = 1, v = 482 n_start has 1345 digits --- performed 5000 steps in the continued fraction search [599,607]-exponents: u = 225, v = 248 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(599,607) = 0.9523654423326026458 D2(599,607) = 0.1487628048249927741 C1(599,607) = 1.238314304717986382 C2(599,607) = 1.210662425501805443 C3(599,607) = 9.951897120857307233 C4(599,607) = 4856 Sum = 5378.663810842467523 Averaged sum = 0.5379201731015569080 logp*logq = 40.98421807788003545 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(599,607) = 0.9523654423326026458 D2(599,607) = 0.1487628048249927741 C1(599,607) = 1.238314304717986382 C2(599,607) = 1.210662425501805443 C3(599,607) = 9.951897120857307233 C4(599,607) = 4856 Sum = 5378.663810842467523 Averaged sum = 0.5379201731015569080 logp*logq = 40.98421807788003545 -------------- ************************************* p = 599; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 670716405165282492.2 -------------- Searches starting with [599,613]-exponents: u = 1, v = 276 n_start has 773 digits --- performed 5000 steps in the continued fraction search [599,613]-exponents: u = 185, v = 74 --- starting right neighbors generation We generated 8152 left neighbors We generated 1858 right neighbors We generated 10009 non-negative rho_i D1(599,613) = 0.7259506269929711615 D2(599,613) = 0.001199636394113535113 C1(599,613) = 0.9653134035203855628 C2(599,613) = 1.154452918530946124 C3(599,613) = 5.996610375240784784 C4(599,613) = 4904 Sum = 5050.605776767445314 Averaged sum = 0.5046064318880452906 logp*logq = 41.04712279748357900 -------------- ************************************* p = 599; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 699203441646793689.9 -------------- Searches starting with [599,617]-exponents: u = 1, v = 216 n_start has 606 digits --- performed 5000 steps in the continued fraction search [599,617]-exponents: u = 92, v = 101 --- starting right neighbors generation We generated 5149 left neighbors We generated 4861 right neighbors We generated 10009 non-negative rho_i D1(599,617) = 1.349117992365534332 D2(599,617) = 0.003423648033314152885 C1(599,617) = 1.814436501108550144 C2(599,617) = 1.197368620085415722 C3(599,617) = 28.98536273102375941 C4(599,617) = 4936 Sum = 4862.577570632226786 Averaged sum = 0.4858205185964858413 logp*logq = 41.08871814150361762 -------------- ************************************* p = 599; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 713825406790149616.2 -------------- Searches starting with [599,619]-exponents: u = 1, v = 194 n_start has 545 digits starting right neighbors generation We generated 4080 left neighbors We generated 5930 right neighbors We generated 10009 non-negative rho_i D1(599,619) = 0.6557585582359732899 D2(599,619) = 0.003637301440233509028 C1(599,619) = 0.8862949685121809572 C2(599,619) = 1.215584285747505956 C3(599,619) = 5.178788429465209233 C4(599,619) = 4952 Sum = 4849.857180067367368 Averaged sum = 0.4845496233457255838 logp*logq = 41.10941479904323639 -------------- ************************************* p = 599; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 807086782048658260.0 -------------- Searches starting with [599,631]-exponents: u = 1, v = 122 n_start has 345 digits starting right neighbors generation We generated 1644 left neighbors We generated 8366 right neighbors We generated 10009 non-negative rho_i D1(599,631) = 0.7613830457881726877 D2(599,631) = 0.007013740500448614310 C1(599,631) = 1.054475862170103455 C2(599,631) = 1.306002470063054512 C3(599,631) = 7.075516375535189342 C4(599,631) = 5048 Sum = 4803.810992311458160 Averaged sum = 0.4799491450006452352 logp*logq = 41.23220759401442446 -------------- ************************************* p = 599; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 892465358078858830.2 -------------- Searches starting with [599,641]-exponents: u = 1, v = 94 n_start has 267 digits starting right neighbors generation We generated 1000 left neighbors We generated 9010 right neighbors We generated 10009 non-negative rho_i D1(599,641) = 0.5730655773657711918 D2(599,641) = 0.01900518513353388515 C1(599,641) = 0.8065733565220958724 C2(599,641) = 1.373072438270809519 C3(599,641) = 4.466669768081275000 C4(599,641) = 5128 Sum = 3952.365483687810571 Averaged sum = 0.3948811553289849706 logp*logq = 41.33276409333370898 -------------- ************************************* p = 599; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 910424202842230934.3 -------------- Searches starting with [599,643]-exponents: u = 1, v = 90 n_start has 256 digits starting right neighbors generation We generated 956 left neighbors We generated 9054 right neighbors We generated 10009 non-negative rho_i D1(599,643) = 0.6504621895039479230 D2(599,643) = 0.01285019230191325346 C1(599,643) = 0.9180336233545541241 C2(599,643) = 1.377735416600909516 C3(599,643) = 5.492942184334510839 C4(599,643) = 5144 Sum = 3901.223465913085082 Averaged sum = 0.3897715521943336080 logp*logq = 41.35268704277365929 -------------- ************************************* p = 599; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 947257826322697738.0 -------------- Searches starting with [599,647]-exponents: u = 1, v = 82 n_start has 234 digits starting right neighbors generation We generated 794 left neighbors We generated 9216 right neighbors We generated 10009 non-negative rho_i D1(599,647) = 0.9366564509785014542 D2(599,647) = 0.0006985017184855462916 C1(599,647) = 1.328913642458162350 C2(599,647) = 1.386365525018430998 C3(599,647) = 11.77378517383308691 C4(599,647) = 5176 Sum = 5280.555300918975989 Averaged sum = 0.5275807074551879297 logp*logq = 41.39234770692643612 -------------- ************************************* p = 599; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.004861414710522839 E18 -------------- Searches starting with [599,653]-exponents: u = 1, v = 74 n_start has 212 digits starting right neighbors generation We generated 647 left neighbors We generated 9363 right neighbors We generated 10009 non-negative rho_i D1(599,653) = 0.7833073572064483783 D2(599,653) = 0.02785818887381764203 C1(599,653) = 1.119956175233896657 C2(599,653) = 1.437391094315630256 C3(599,653) = 7.989617628654325093 C4(599,653) = 5224 Sum = 3641.257021477838444 Averaged sum = 0.3637982836924606298 logp*logq = 41.45138131008493495 -------------- ************************************* p = 599; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.065392515372327664 E18 -------------- Searches starting with [599,659]-exponents: u = 1, v = 66 n_start has 189 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(599,659) = 1.198534398045006038 D2(599,659) = 0.008697181838759184000 C1(599,659) = 1.725598087924070087 C2(599,659) = 1.445506810629320477 C3(599,659) = 24.58032188409452084 C4(599,659) = 5272 Sum = 6232.796790548399353 Averaged sum = 0.6227192317462682939 logp*logq = 41.50987496418806226 -------------- ************************************* p = 599; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.086240754018329440 E18 -------------- Searches starting with [599,661]-exponents: u = 1, v = 64 n_start has 184 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(599,661) = 0.8266376603651536412 D2(599,661) = 0.003537388928341074147 C1(599,661) = 1.192747441090991322 C2(599,661) = 1.448957251273469981 C3(599,661) = 9.145036472739515443 C4(599,661) = 5288 Sum = 5031.577415367246257 Averaged sum = 0.5027053067606400497 logp*logq = 41.52925455961823097 -------------- ************************************* p = 599; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.218698114239205764 E18 -------------- Searches starting with [599,673]-exponents: u = 1, v = 54 n_start has 156 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(599,673) = 0.7606683242329927655 D2(599,673) = 0.001944046690944416237 C1(599,673) = 1.111311895635054262 C2(599,673) = 1.492065359842827341 C3(599,673) = 7.862486821689806211 C4(599,673) = 5384 Sum = 4753.002069597215690 Averaged sum = 0.4748728214204431701 logp*logq = 41.64431484338455547 -------------- ************************************* p = 599; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.265770625609113443 E18 -------------- Searches starting with [599,677]-exponents: u = 1, v = 52 n_start has 150 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(599,677) = 0.8258962724880839410 D2(599,677) = 0.01834824485838847591 C1(599,677) = 1.111741147909036743 C2(599,677) = 1.520115281770023403 C3(599,677) = 7.868751804509296817 C4(599,677) = 5416 Sum = 3244.334989171988119 Averaged sum = 0.3241417713230081046 logp*logq = 41.68221280079611079 -------------- ************************************* p = 599; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.339250691105678341 E18 -------------- Searches starting with [599,683]-exponents: u = 1, v = 48 n_start has 139 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(599,683) = 0.5773611807881304807 D2(599,683) = 0.02648581037885067477 C1(599,683) = 0.8512161084946767304 C2(599,683) = 1.546953247302999245 C3(599,683) = 4.852433340272050539 C4(599,683) = 5464 Sum = 4162.002082616290932 Averaged sum = 0.4158259648932251905 logp*logq = 41.73864194571095604 -------------- ************************************* p = 599; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.442795951668484664 E18 -------------- Searches starting with [599,691]-exponents: u = 1, v = 44 n_start has 128 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(599,691) = 0.5905213564555100218 D2(599,691) = 0.004706850220622977496 C1(599,691) = 0.8767185017168209746 C2(599,691) = 1.552812768868129590 C3(599,691) = 5.087575809188534525 C4(599,691) = 5528 Sum = 4079.357897553159681 Averaged sum = 0.4075689776754081007 logp*logq = 41.81311453805069095 -------------- ************************************* p = 599; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.581652817676605862 E18 -------------- Searches starting with [599,701]-exponents: u = 1, v = 40 n_start has 117 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(599,701) = 0.9507087251859951176 D2(599,701) = 0.04502826206917171630 C1(599,701) = 1.316073414423991718 C2(599,701) = 1.617113065231678822 C3(599,701) = 11.49658098189104149 C4(599,701) = 5608 Sum = 4250.279465353403242 Averaged sum = 0.4246457653465284486 logp*logq = 41.90500206130091887 -------------- ************************************* p = 599; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.700702686257303766 E18 -------------- Searches starting with [599,709]-exponents: u = 1, v = 37 n_start has 109 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(599,709) = 0.8111102203428941456 D2(599,709) = 0.01129657507777214638 C1(599,709) = 1.221929436444318307 C2(599,709) = 1.609557496190956787 C3(599,709) = 9.653882208079209270 C4(599,709) = 5672 Sum = 4591.671534520380785 Averaged sum = 0.4587542746048936742 logp*logq = 41.97757318440877796 -------------- ************************************* p = 599; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.860066918689797065 E18 -------------- Searches starting with [599,719]-exponents: u = 1, v = 35 n_start has 103 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(599,719) = 1.002747748411241072 D2(599,719) = 0.05708628594499036278 C1(599,719) = 1.521976363538266178 C2(599,719) = 1.675441455682781113 C3(599,719) = 16.84601977860800779 C4(599,719) = 5752 Sum = 2520.431548664321093 Averaged sum = 0.2518165199984335191 logp*logq = 42.06714413876096050 -------------- ************************************* p = 599; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.996462372643015883 E18 -------------- Searches starting with [599,727]-exponents: u = 1, v = 33 n_start has 98 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(599,727) = 1.011205560860408082 D2(599,727) = 0.04326286342101018104 C1(599,727) = 1.543301034785337535 C2(599,727) = 1.682953401492604644 C3(599,727) = 17.52596620317556190 C4(599,727) = 5816 Sum = 2428.725355740363898 Averaged sum = 0.2426541468418786990 logp*logq = 42.13790847457621343 -------------- ************************************* p = 599; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.104211663956379169 E18 -------------- Searches starting with [599,733]-exponents: u = 1, v = 31 n_start has 92 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(599,733) = 0.7745000264688355284 D2(599,733) = 0.06330001995740672257 C1(599,733) = 1.087944476099471774 C2(599,733) = 1.714746161767584985 C3(599,733) = 7.528857915591051968 C4(599,733) = 5864 Sum = 4264.391888719501179 Averaged sum = 0.4260557387071137155 logp*logq = 42.19047256444809462 -------------- ************************************* p = 599; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.216826046427763692 E18 -------------- Searches starting with [599,739]-exponents: u = 1, v = 30 n_start has 89 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(599,739) = 0.6367926475760380704 D2(599,739) = 0.07604095154874249391 C1(599,739) = 0.9219886042238810511 C2(599,739) = 1.739759744804782959 C3(599,739) = 5.533401482622069235 C4(599,739) = 5912 Sum = 3982.783710269575011 Averaged sum = 0.3979202428084299142 logp*logq = 42.24260813795185190 -------------- ************************************* p = 599; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.294692569063362610 E18 -------------- Searches starting with [599,743]-exponents: u = 1, v = 29 n_start has 87 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(599,743) = 0.6910281488206269675 D2(599,743) = 0.04708036244190812071 C1(599,743) = 0.9745991679989893804 C2(599,743) = 1.723248616714387031 C3(599,743) = 6.100828859618865658 C4(599,743) = 5944 Sum = 4162.958913197589325 Averaged sum = 0.4159215619140362998 logp*logq = 42.27713055159717649 -------------- ************************************* p = 599; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.457364947718510225 E18 -------------- Searches starting with [599,751]-exponents: u = 1, v = 28 n_start has 84 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(599,751) = 0.5450721901101069373 D2(599,751) = 0.07648576903681859196 C1(599,751) = 0.7574584480910876798 C2(599,751) = 1.766494327500674918 C3(599,751) = 4.077595937516248973 C4(599,751) = 6008 Sum = 4048.429060878907933 Averaged sum = 0.4044788751003005228 logp*logq = 42.34562129027176886 -------------- ************************************* p = 599; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.585659395608379086 E18 -------------- Searches starting with [599,757]-exponents: u = 1, v = 27 n_start has 81 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(599,757) = 0.7218338276290181941 D2(599,757) = 0.06409664526707682300 C1(599,757) = 1.023321380985793323 C2(599,757) = 1.768235473088443358 C3(599,757) = 6.678086540920970673 C4(599,757) = 6056 Sum = 4086.255950641026788 Averaged sum = 0.4082581627176567876 logp*logq = 42.39651223466621332 -------------- ************************************* p = 599; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.674290889626307646 E18 -------------- Searches starting with [599,761]-exponents: u = 1, v = 26 n_start has 78 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(599,761) = 0.5267396354955171024 D2(599,761) = 0.01726316526533612956 C1(599,761) = 0.7479312792935727944 C2(599,761) = 1.735894514269355398 C3(599,761) = 4.006144773474548285 C4(599,761) = 6088 Sum = 4112.450134773156253 Averaged sum = 0.4108752257741189182 logp*logq = 42.43021593110859493 -------------- ************************************* p = 599; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.859261627710439603 E18 -------------- Searches starting with [599,769]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(599,769) = 0.9325370410700708557 D2(599,769) = 0.01788375165504191189 C1(599,769) = 1.286371891468327314 C2(599,769) = 1.752599631483847490 C3(599,769) = 10.88011494628047079 C4(599,769) = 6152 Sum = 4015.377473675034896 Averaged sum = 0.4011766883479902983 logp*logq = 42.49709509326320538 -------------- ************************************* p = 599; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.955720787074890050 E18 -------------- Searches starting with [599,773]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(599,773) = 0.7648066899133653807 D2(599,773) = 0.07127837706985248040 C1(599,773) = 1.200396792953654830 C2(599,773) = 1.806756509621275819 C3(599,773) = 9.275764965039507953 C4(599,773) = 6184 Sum = 2669.554137062857646 Averaged sum = 0.2667153698733997048 logp*logq = 42.53027421618288620 -------------- ************************************* p = 599; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.315247795704507911 E18 -------------- Searches starting with [599,787]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(599,787) = 1.159001393724251695 D2(599,787) = 0.01240623064690978927 C1(599,787) = 1.577269457261224942 C2(599,787) = 1.782517150185076609 C3(599,787) = 18.66619100621035463 C4(599,787) = 6296 Sum = 3706.801410158334282 Averaged sum = 0.3703468288698505627 logp*logq = 42.64506404457246574 -------------- ************************************* p = 599; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.594057172379192741 E18 -------------- Searches starting with [599,797]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(599,797) = 0.6933601072264779517 D2(599,797) = 0.004002129297088941111 C1(599,797) = 0.9635244175682494285 C2(599,797) = 1.793651820185881590 C3(599,797) = 5.976737234577431789 C4(599,797) = 6376 Sum = 4128.253667809903332 Averaged sum = 0.4124541580387554533 logp*logq = 42.72581336985698766 -------------- ************************************* p = 599; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.954499359754746935 E18 -------------- Searches starting with [599,809]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(599,809) = 0.5239536571450984221 D2(599,809) = 0.003354439497868592362 C1(599,809) = 0.7405538530097557680 C2(599,809) = 1.814205992900206222 C3(599,809) = 3.951677365438046107 C4(599,809) = 6472 Sum = 4065.409799774825974 Averaged sum = 0.4061754220975947620 logp*logq = 42.82138568296718465 -------------- ************************************* p = 599; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.017439608772977090 E18 -------------- Searches starting with [599,811]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(599,811) = 0.6918168101335674552 D2(599,811) = 0.02336209567581372937 C1(599,811) = 1.107146145060126248 C2(599,811) = 1.834585375252137626 C3(599,811) = 7.801945743399421056 C4(599,811) = 6488 Sum = 3567.885846752232041 Averaged sum = 0.3564677636879040904 logp*logq = 42.83717646036779680 -------------- ************************************* p = 599; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.344970943071348564 E18 -------------- Searches starting with [599,821]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(599,821) = 1.180877108154721545 D2(599,821) = 0.1430790768937864875 C1(599,821) = 1.618768534784183899 C2(599,821) = 1.956147257685540768 C3(599,821) = 20.16035067950862219 C4(599,821) = 6568 Sum = 4073.682093263069577 Averaged sum = 0.4070019076094584451 logp*logq = 42.91555074514739054 -------------- ************************************* p = 599; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.413108542780384199 E18 -------------- Searches starting with [599,823]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(599,823) = 0.6458370647913685097 D2(599,823) = 0.006893426061498377774 C1(599,823) = 1.039497815178389116 C2(599,823) = 1.840778217209840785 C3(599,823) = 6.881576731373342423 C4(599,823) = 6584 Sum = 3846.459604193553547 Averaged sum = 0.3843000903380511087 logp*logq = 42.93111100002105259 -------------- ************************************* p = 599; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.552091127435774224 E18 -------------- Searches starting with [599,827]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(599,827) = 0.6731101186482306506 D2(599,827) = 0.04573896499564286756 C1(599,827) = 0.9317914077728645329 C2(599,827) = 1.880358758105932167 C3(599,827) = 5.634973173799015381 C4(599,827) = 6616 Sum = 4098.084776212145915 Averaged sum = 0.4094399816377406249 logp*logq = 42.96211838972468094 -------------- ************************************* p = 599; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.622955481275827400 E18 -------------- Searches starting with [599,829]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(599,829) = 0.7218615975316035329 D2(599,829) = 0.06667250734485539673 C1(599,829) = 1.046412797143069589 C2(599,829) = 1.901658461180491573 C3(599,829) = 6.970444160214492728 C4(599,829) = 6632 Sum = 3930.767361823786266 Averaged sum = 0.3927232852256755186 logp*logq = 42.97756588901819949 -------------- ************************************* p = 599; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.991402476048578625 E18 -------------- Searches starting with [599,839]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(599,839) = 1.028932764287110300 D2(599,839) = 0.01112547257710102328 C1(599,839) = 1.666253983168011765 C2(599,839) = 1.870077983343365119 C3(599,839) = 22.01732867157499722 C4(599,839) = 6712 Sum = 4280.036067881592060 Averaged sum = 0.4276187499132372924 logp*logq = 43.05424860149140326 -------------- ************************************* p = 599; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.548630247779135992 E18 -------------- Searches starting with [599,853]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(599,853) = 0.8784358569236761499 D2(599,853) = 0.1192757608506661904 C1(599,853) = 1.183271414976722824 C2(599,853) = 1.346641254041446741 C3(599,853) = 8.985641911795996922 C4(599,853) = 6824 Sum = 3738.239618448970302 Averaged sum = 0.3734878228043730944 logp*logq = 43.16008276898853259 -------------- ************************************* p = 599; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.717150415622429313 E18 -------------- Searches starting with [599,857]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(599,857) = 0.7798316913568692369 D2(599,857) = 0.01244210696146782789 C1(599,857) = 1.076182524848081669 C2(599,857) = 1.898745275774567164 C3(599,857) = 7.366320914603902778 C4(599,857) = 6856 Sum = 4138.611440128822060 Averaged sum = 0.4134890039093637786 logp*logq = 43.19000217606511111 -------------- ************************************* p = 599; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.803016558341090239 E18 -------------- Searches starting with [599,859]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(599,859) = 0.6794005273196215727 D2(599,859) = 0.02918473389941849815 C1(599,859) = 0.9713912873863967255 C2(599,859) = 1.915846657403044393 C3(599,859) = 6.064622112293271675 C4(599,859) = 6872 Sum = 4268.972732938418214 Averaged sum = 0.4265134112237404550 logp*logq = 43.20490955250771546 -------------- ************************************* p = 599; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.978016280906681506 E18 -------------- Searches starting with [599,863]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(599,863) = 0.8385219974949486250 D2(599,863) = 0.06482731253980523944 C1(599,863) = 1.269421895137316761 C2(599,863) = 1.952204231728490128 C3(599,863) = 10.54324231859624551 C4(599,863) = 6904 Sum = 3877.709948537954418 Averaged sum = 0.3874223147705019900 logp*logq = 43.23462046122136523 -------------- ************************************* p = 599; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.626012986363915956 E18 -------------- Searches starting with [599,877]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(599,877) = 0.6539198530261952744 D2(599,877) = 0.007229684007999677394 C1(599,877) = 0.8930024594136675639 C2(599,877) = 1.923474535757508912 C3(599,877) = 5.243647106762227056 C4(599,877) = 7016 Sum = 3729.717928191336682 Averaged sum = 0.3726364200410966812 logp*logq = 43.33753493767864444 -------------- ************************************* p = 599; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.821679863797230042 E18 -------------- Searches starting with [599,881]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(599,881) = 0.6339355114117462133 D2(599,881) = 0.03840609612266971083 C1(599,881) = 0.8783792210505816588 C2(599,881) = 1.955357161297239510 C3(599,881) = 5.103277659720582768 C4(599,881) = 7048 Sum = 4013.550893609907273 Averaged sum = 0.4009941945858634502 logp*logq = 43.36663742975756630 -------------- ************************************* p = 599; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.921326825632924572 E18 -------------- Searches starting with [599,883]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(599,883) = 0.7677543621917614522 D2(599,883) = 0.05489024395301223818 C1(599,883) = 1.168449939137296743 C2(599,883) = 1.972193207514718263 C3(599,883) = 8.741885179393871916 C4(599,883) = 7064 Sum = 3545.214427804096741 Averaged sum = 0.3542026603860622181 logp*logq = 43.38113916295128236 -------------- ************************************* p = 599; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.124308547156148285 E18 -------------- Searches starting with [599,887]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(599,887) = 0.6600069019461054561 D2(599,887) = 0.09004340196104416045 C1(599,887) = 0.9153735005809712113 C2(599,887) = 2.008047763872946162 C3(599,887) = 5.465895770517825319 C4(599,887) = 7096 Sum = 3926.322533754752156 Averaged sum = 0.3922792020935909837 logp*logq = 43.41004434932509535 -------------- ************************************* p = 599; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.216224648214075519 E18 -------------- Searches starting with [599,907]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(599,907) = 0.5549672794758782858 D2(599,907) = 0.04938547160443330196 C1(599,907) = 0.7886529615883797841 C2(599,907) = 1.999937702397757776 C3(599,907) = 4.320584924433231675 C4(599,907) = 7256 Sum = 3892.056542426571956 Averaged sum = 0.3888556841269429469 logp*logq = 43.55264248891719031 -------------- ************************************* p = 599; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.450729978822499328 E18 -------------- Searches starting with [599,911]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(599,911) = 0.8820500367269385985 D2(599,911) = 0.08108772469228818154 C1(599,911) = 1.274131299058461207 C2(599,911) = 2.032328942678088410 C3(599,911) = 10.63577889904678684 C4(599,911) = 7288 Sum = 4757.392520832803426 Averaged sum = 0.4753114717586975148 logp*logq = 43.58078449955700541 -------------- ************************************* p = 599; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.936714690501485617 E18 -------------- Searches starting with [599,919]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(599,919) = 0.8997343871541490448 D2(599,919) = 0.09334375519037903368 C1(599,919) = 1.197748229724588209 C2(599,919) = 1.279139145810168530 C3(599,919) = 9.230290487904222078 C4(599,919) = 7352 Sum = 3668.583968945202596 Averaged sum = 0.3665285212254173839 logp*logq = 43.63669971125539863 -------------- ************************************* p = 599; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.577163866256971095 E18 -------------- Searches starting with [599,929]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(599,929) = 0.8276837819314191551 D2(599,929) = 0.001293828714978307346 C1(599,929) = 1.155055964326572840 C2(599,929) = 1.987876793744377011 C3(599,929) = 8.527298228070529529 C4(599,929) = 7432 Sum = 4187.673843878861350 Averaged sum = 0.4183908326385114747 logp*logq = 43.70591317468134695 -------------- ************************************* p = 599; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.011700780880323741 E19 -------------- Searches starting with [599,937]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(599,937) = 0.5652428976084899011 D2(599,937) = 0.05425969059501116398 C1(599,937) = 0.7896998026299643525 C2(599,937) = 2.042198142855915011 C3(599,937) = 4.328985703000318996 C4(599,937) = 7496 Sum = 3915.776231563279420 Averaged sum = 0.3912255201881585992 logp*logq = 43.76074962296596023 -------------- ************************************* p = 599; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.039641308701198073 E19 -------------- Searches starting with [599,941]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(599,941) = 0.6024532147135663271 D2(599,941) = 0.08338998360534210991 C1(599,941) = 0.8502743857055376613 C2(599,941) = 2.072001822940195636 C3(599,941) = 4.843961502214045002 C4(599,941) = 7528 Sum = 3728.160180055956489 Averaged sum = 0.3724807852988267049 logp*logq = 43.78799252507040715 -------------- ************************************* p = 599; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.082771268724409017 E19 -------------- Searches starting with [599,947]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(599,947) = 0.8875711578175402617 D2(599,947) = 0.07561110616704489977 C1(599,947) = 1.495735355346768312 C2(599,947) = 1.218921045580283195 C3(599,947) = 16.04540825469938514 C4(599,947) = 7576 Sum = 3256.059356289258556 Averaged sum = 0.3253131537905143926 logp*logq = 43.82864051105235858 -------------- ************************************* p = 599; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.127401023282730682 E19 -------------- Searches starting with [599,953]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(599,953) = 0.5610766756645010407 D2(599,953) = 0.1021962084679529481 C1(599,953) = 0.7739673951236354805 C2(599,953) = 1.839076463129887725 C3(599,953) = 4.204439040723385248 C4(599,953) = 7624 Sum = 3789.850323312259051 Averaged sum = 0.3786442525039723300 logp*logq = 43.86903177120012672 -------------- ************************************* p = 599; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.237608500647990289 E19 -------------- Searches starting with [599,967]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(599,967) = 0.6321184897207965912 D2(599,967) = 0.02093736254376426114 C1(599,967) = 0.9439775169266636952 C2(599,967) = 2.050007356168110006 C3(599,967) = 5.763842835160032550 C4(599,967) = 7736 Sum = 3732.550919445938674 Averaged sum = 0.3729194644266099184 logp*logq = 43.96229765579545254 -------------- ************************************* p = 599; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.270715788989515230 E19 -------------- Searches starting with [599,971]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(599,971) = 0.6499899130659550753 D2(599,971) = 0.04514448890878288202 C1(599,971) = 0.9483026167085139475 C2(599,971) = 2.074873827908196476 C3(599,971) = 5.810286503535360079 C4(599,971) = 7768 Sum = 3477.507751711991520 Averaged sum = 0.3474380808983906004 logp*logq = 43.98869712196457320 -------------- ************************************* p = 599; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.321776072472875283 E19 -------------- Searches starting with [599,977]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(599,977) = 0.7398694318868625893 D2(599,977) = 0.06458454089329252888 C1(599,977) = 1.260159583069526223 C2(599,977) = 1.322126199693125633 C3(599,977) = 10.36358650866604815 C4(599,977) = 7816 Sum = 3889.981892461006005 Averaged sum = 0.3886484056809877116 logp*logq = 44.02809310854760621 -------------- ************************************* p = 599; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.374556490624665287 E19 -------------- Searches starting with [599,983]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(599,983) = 0.6912535364630864454 D2(599,983) = 0.08074609987444002865 C1(599,983) = 0.9462338814582480215 C2(599,983) = 1.369356673139421163 C3(599,983) = 5.788025560670091544 C4(599,983) = 7864 Sum = 3967.687157108646846 Averaged sum = 0.3964119449604003243 logp*logq = 44.06724789370125870 -------------- ************************************* p = 599; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.447687377119713718 E19 -------------- Searches starting with [599,991]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(599,991) = 0.6279983027698045251 D2(599,991) = 0.08364470497902133108 C1(599,991) = 0.8648469182648459698 C2(599,991) = 1.854813677339243715 C3(599,991) = 4.976729995261333801 C4(599,991) = 7928 Sum = 3932.357550885758845 Averaged sum = 0.3928821611435466925 logp*logq = 44.11908413776147696 -------------- ************************************* p = 599; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.504665593961478337 E19 -------------- Searches starting with [599,997]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(599,997) = 0.6302870422699791219 D2(599,997) = 0.08064141857614334443 C1(599,997) = 0.8737359650039735506 C2(599,997) = 1.852855244955576241 C3(599,997) = 5.059497569655150930 C4(599,997) = 7976 Sum = 3874.621963155408117 Averaged sum = 0.3871137939010298848 logp*logq = 44.15768744369502558 -------------- ************************************* p = 601; q = 607; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 643423710100505785.9 -------------- Searches starting with [601,607]-exponents: u = 1, v = 644 n_start has 1796 digits --- performed 5000 steps in the continued fraction search [601,607]-exponents: u = 513, v = 125 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(601,607) = 0.8086271711499495305 D2(601,607) = 0.2280124633466279825 C1(601,607) = 1.040628630289470041 C2(601,607) = 1.250246958656336380 C3(601,607) = 6.899771871069480739 C4(601,607) = 4856 Sum = 5537.165262144028681 Averaged sum = 0.5537719034047433424 logp*logq = 41.00557986029634326 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(601,607) = 0.8086271711499495305 D2(601,607) = 0.2280124633466279825 C1(601,607) = 1.040628630289470041 C2(601,607) = 1.250246958656336380 C3(601,607) = 6.899771871069480739 C4(601,607) = 4856 Sum = 5537.165262144028681 Averaged sum = 0.5537719034047433424 logp*logq = 41.00557986029634326 -------------- ************************************* p = 601; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 685220697271371467.7 -------------- Searches starting with [601,613]-exponents: u = 1, v = 323 n_start has 904 digits --- performed 5000 steps in the continued fraction search [601,613]-exponents: u = 260, v = 49 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(601,613) = 0.5689914009542603571 D2(601,613) = 0.01853223652785710194 C1(601,613) = 0.7516830903080854319 C2(601,613) = 1.146172873604475533 C3(601,613) = 4.035712096980183072 C4(601,613) = 4904 Sum = 5145.231648122194247 Averaged sum = 0.5145746222744468694 logp*logq = 41.06851736707983437 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(601,613) = 0.5689914009542603571 D2(601,613) = 0.01853223652785710194 C1(601,613) = 0.7516830903080854319 C2(601,613) = 1.146172873604475533 C3(601,613) = 4.035712096980183072 C4(601,613) = 4904 Sum = 5145.231648122194247 Averaged sum = 0.5145746222744468694 logp*logq = 41.06851736707983437 -------------- ************************************* p = 601; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 714339254964786022.2 -------------- Searches starting with [601,617]-exponents: u = 1, v = 243 n_start has 681 digits --- performed 5000 steps in the continued fraction search [601,617]-exponents: u = 107, v = 116 --- starting right neighbors generation We generated 6263 left neighbors We generated 3747 right neighbors We generated 10009 non-negative rho_i D1(601,617) = 0.5971456819570941029 D2(601,617) = 0.006227512905682524801 C1(601,617) = 0.7986176315211084689 C2(601,617) = 1.180098652679799065 C3(601,617) = 4.403047679221535509 C4(601,617) = 4936 Sum = 4964.575744631042124 Averaged sum = 0.4960111644151305949 logp*logq = 41.11013439141317796 -------------- ************************************* p = 601; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 729285612189060086.2 -------------- Searches starting with [601,619]-exponents: u = 1, v = 216 n_start has 606 digits starting right neighbors generation We generated 4955 left neighbors We generated 5055 right neighbors We generated 10009 non-negative rho_i D1(601,619) = 0.7273575016457469332 D2(601,619) = 0.005541928332238574113 C1(601,619) = 0.9780834379065487811 C2(601,619) = 1.198990968436433304 C3(601,619) = 6.143530437501907608 C4(601,619) = 4952 Sum = 4916.069230523447578 Averaged sum = 0.4911648746651461263 logp*logq = 41.13084183645871586 -------------- ************************************* p = 601; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 824619640780886929.7 -------------- Searches starting with [601,631]-exponents: u = 1, v = 131 n_start has 370 digits starting right neighbors generation We generated 1889 left neighbors We generated 8121 right neighbors We generated 10009 non-negative rho_i D1(601,631) = 0.5993455547870298306 D2(601,631) = 0.01307814483361004744 C1(601,631) = 0.8271731590009245298 C2(601,631) = 1.298321054172337862 C3(601,631) = 4.642710030231293698 C4(601,631) = 5048 Sum = 4355.745313890667514 Averaged sum = 0.4351828668089387065 logp*logq = 41.25369863345535384 -------------- ************************************* p = 601; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 911900743156971972.0 -------------- Searches starting with [601,641]-exponents: u = 1, v = 99 n_start has 281 digits starting right neighbors generation We generated 1145 left neighbors We generated 8865 right neighbors We generated 10009 non-negative rho_i D1(601,641) = 0.6072514701377965544 D2(601,641) = 0.009336242130454620519 C1(601,641) = 0.8520011308724396521 C2(601,641) = 1.353604984308450771 C3(601,641) = 4.861664732950434818 C4(601,641) = 5128 Sum = 4022.123749143673976 Averaged sum = 0.4018507092760189805 logp*logq = 41.35430754480443291 -------------- ************************************* p = 601; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 930260341033665347.6 -------------- Searches starting with [601,643]-exponents: u = 1, v = 94 n_start has 267 digits starting right neighbors generation We generated 1000 left neighbors We generated 9010 right neighbors We generated 10009 non-negative rho_i D1(601,643) = 0.6188649589066933327 D2(601,643) = 0.01171854757757226536 C1(601,643) = 0.8705245277863741738 C2(601,643) = 1.366176140801312960 C3(601,643) = 5.031719598965771440 C4(601,643) = 5144 Sum = 4566.792812365962067 Averaged sum = 0.4562686394610812336 logp*logq = 41.37424087847838809 -------------- ************************************* p = 601; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 967916496530150721.4 -------------- Searches starting with [601,647]-exponents: u = 1, v = 86 n_start has 245 digits starting right neighbors generation We generated 834 left neighbors We generated 9176 right neighbors We generated 10009 non-negative rho_i D1(601,647) = 0.6349107553852973028 D2(601,647) = 0.01552815769838049604 C1(601,647) = 0.8981127889967211832 C2(601,647) = 1.389475421246097115 C3(601,647) = 5.296084482702495690 C4(601,647) = 5176 Sum = 4574.536689166255295 Averaged sum = 0.4570423308188885298 logp*logq = 41.41392221455118321 -------------- ************************************* p = 601; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.026807950830433581 E18 -------------- Searches starting with [601,653]-exponents: u = 1, v = 77 n_start has 220 digits starting right neighbors generation We generated 744 left neighbors We generated 9266 right neighbors We generated 10009 non-negative rho_i D1(601,653) = 0.7580896454897838381 D2(601,653) = 0.006729236263402697029 C1(601,653) = 1.081058127676288652 C2(601,653) = 1.409468866097190017 C3(601,653) = 7.437454600490151123 C4(601,653) = 5224 Sum = 3696.365458270281751 Averaged sum = 0.3693041720721632282 logp*logq = 41.47298658718742408 -------------- ************************************* p = 601; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.088694264240945521 E18 -------------- Searches starting with [601,659]-exponents: u = 1, v = 69 n_start has 198 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(601,659) = 0.6968205777457706277 D2(601,659) = 0.002183198154221147000 C1(601,659) = 0.9581696164845664062 C2(601,659) = 1.431137442664694785 C3(601,659) = 5.920600931482111112 C4(601,659) = 5272 Sum = 4012.727230517829167 Averaged sum = 0.4009119023396772073 logp*logq = 41.53151072933620134 -------------- ************************************* p = 601; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.110009697642264127 E18 -------------- Searches starting with [601,661]-exponents: u = 1, v = 67 n_start has 192 digits starting right neighbors generation We generated 584 left neighbors We generated 9426 right neighbors We generated 10009 non-negative rho_i D1(601,661) = 0.6193721674123393087 D2(601,661) = 0.001372949562759749147 C1(601,661) = 0.8918252039435835269 C2(601,661) = 1.438578150761516627 C3(601,661) = 5.234637098276013795 C4(601,661) = 5288 Sum = 3481.193509609718843 Averaged sum = 0.3478063252682304768 logp*logq = 41.55090042579355345 -------------- ************************************* p = 601; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.245440157199240831 E18 -------------- Searches starting with [601,673]-exponents: u = 1, v = 56 n_start has 162 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(601,673) = 0.6796952827260497063 D2(601,673) = 0.02325363321191947991 C1(601,673) = 0.9455730151623709955 C2(601,673) = 1.503106496072741845 C3(601,673) = 5.783781297469843508 C4(601,673) = 5384 Sum = 4336.885561705780446 Averaged sum = 0.4332985874418803523 logp*logq = 41.66602068124805081 -------------- ************************************* p = 601; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.293571138357722258 E18 -------------- Searches starting with [601,677]-exponents: u = 1, v = 53 n_start has 153 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(601,677) = 0.5868759327816033232 D2(601,677) = 0.003574562939668095111 C1(601,677) = 0.8586995387834896941 C2(601,677) = 1.499838838475310097 C3(601,677) = 4.922485999331495312 C4(601,677) = 5416 Sum = 4243.035931484335921 Averaged sum = 0.4239220632914712679 logp*logq = 41.70393839182212126 -------------- ************************************* p = 601; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.368705325063386054 E18 -------------- Searches starting with [601,683]-exponents: u = 1, v = 50 n_start has 145 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(601,683) = 0.9719232010276292327 D2(601,683) = 0.01807912521666047357 C1(601,683) = 1.430735699903244640 C2(601,683) = 1.532533530899261754 C3(601,683) = 14.23292103653350642 C4(601,683) = 5464 Sum = 3078.819685496054903 Averaged sum = 0.3076051239380612351 logp*logq = 41.76039694871972823 -------------- ************************************* p = 601; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.474585131943411101 E18 -------------- Searches starting with [601,691]-exponents: u = 1, v = 45 n_start has 131 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(601,691) = 0.6797038664378915643 D2(601,691) = 0.005730778691800813420 C1(601,691) = 1.007375377311213569 C2(601,691) = 1.546999773171281008 C3(601,691) = 6.486789365697323348 C4(601,691) = 5528 Sum = 4353.914184788753648 Averaged sum = 0.4349999185521784043 logp*logq = 41.83490835764272738 -------------- ************************************* p = 601; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.616578858681692802 E18 -------------- Searches starting with [601,701]-exponents: u = 1, v = 41 n_start has 120 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(601,701) = 0.6012053120127044768 D2(601,701) = 0.05627514028811311712 C1(601,701) = 0.8523829300610970269 C2(601,701) = 1.620761348557442132 C3(601,701) = 4.865111168965267846 C4(601,701) = 5608 Sum = 4241.817181002017593 Averaged sum = 0.4238002978321528218 logp*logq = 41.92684377448152432 -------------- ************************************* p = 601; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.738323336923183167 E18 -------------- Searches starting with [601,709]-exponents: u = 1, v = 38 n_start has 112 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(601,709) = 0.5507128860288904934 D2(601,709) = 0.03017660450108539622 C1(601,709) = 0.7645959309439190094 C2(601,709) = 1.619916231509695988 C3(601,709) = 4.133605427882512320 C4(601,709) = 5672 Sum = 4110.335490786876051 Averaged sum = 0.4106639515223175193 logp*logq = 41.99945272308939883 -------------- ************************************* p = 601; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.901301572304540215 E18 -------------- Searches starting with [601,719]-exponents: u = 1, v = 35 n_start has 103 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(601,719) = 0.6469757719864386704 D2(601,719) = 0.01180542319968779815 C1(601,719) = 0.9024481621697036918 C2(601,719) = 1.630160592937478549 C3(601,719) = 5.338872900056820365 C4(601,719) = 5752 Sum = 4142.809211741585036 Averaged sum = 0.4139084036109086858 logp*logq = 42.08907036358877238 -------------- ************************************* p = 601; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.040795962143641240 E18 -------------- Searches starting with [601,727]-exponents: u = 1, v = 33 n_start has 98 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(601,727) = 0.5495607592537884943 D2(601,727) = 0.001705712752994317163 C1(601,727) = 0.7691865165403778390 C2(601,727) = 1.641396250824588780 C3(601,727) = 4.168976232960167159 C4(601,727) = 5816 Sum = 4176.961165388096946 Averaged sum = 0.4173205280635524974 logp*logq = 42.15987158317088522 -------------- ************************************* p = 601; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.150996873102670546 E18 -------------- Searches starting with [601,733]-exponents: u = 1, v = 32 n_start has 95 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(601,733) = 0.5886861311958370735 D2(601,733) = 0.02054870280957988779 C1(601,733) = 0.8121155016627806903 C2(601,733) = 1.671994844619758150 C3(601,733) = 4.514751113872943767 C4(601,733) = 5864 Sum = 3826.331803722877794 Averaged sum = 0.3822891201641400534 logp*logq = 42.21246307048264486 -------------- ************************************* p = 601; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.266176713142364797 E18 -------------- Searches starting with [601,739]-exponents: u = 1, v = 30 n_start has 89 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(601,739) = 0.8801895839004951128 D2(601,739) = 0.03292008676242363658 C1(601,739) = 1.351576020206145834 C2(601,739) = 1.696638880018464102 C3(601,739) = 12.28809724951810392 C4(601,739) = 5912 Sum = 4575.780436928487577 Averaged sum = 0.4571665937584661381 logp*logq = 42.26462581807510186 -------------- ************************************* p = 601; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.345818898978398454 E18 -------------- Searches starting with [601,743]-exponents: u = 1, v = 30 n_start has 89 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(601,743) = 0.9410161361059750967 D2(601,743) = 0.008299166331837986362 C1(601,743) = 1.274903315581919725 C2(601,743) = 1.684467420604316897 C3(601,743) = 10.65810395717447953 C4(601,743) = 5944 Sum = 3724.765717547660866 Averaged sum = 0.3721416442749186598 logp*logq = 42.29916622548298588 -------------- ************************************* p = 601; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.512205340231795997 E18 -------------- Searches starting with [601,751]-exponents: u = 1, v = 28 n_start has 84 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(601,751) = 0.5321750855152280828 D2(601,751) = 0.03567804572193090145 C1(601,751) = 0.7388570630485800944 C2(601,751) = 1.725686604185787227 C3(601,751) = 3.940772041461475353 C4(601,751) = 6008 Sum = 4113.899848687361760 Averaged sum = 0.4110200668086084284 logp*logq = 42.36769266288078723 -------------- ************************************* p = 601; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.643433019984390072 E18 -------------- Searches starting with [601,757]-exponents: u = 1, v = 27 n_start has 81 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(601,757) = 0.5843591594891943644 D2(601,757) = 0.02580321311761569817 C1(601,757) = 0.8129433412880050057 C2(601,757) = 1.729942040938982234 C3(601,757) = 4.521693520444050911 C4(601,757) = 6056 Sum = 4116.981770157285110 Averaged sum = 0.4113279818320796393 logp*logq = 42.41861013263870329 -------------- ************************************* p = 601; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.734092913609269476 E18 -------------- Searches starting with [601,761]-exponents: u = 1, v = 27 n_start has 81 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(601,761) = 0.7043021425295119629 D2(601,761) = 0.08584621851897162495 C1(601,761) = 1.096623795201403756 C2(601,761) = 1.790751193173277458 C3(601,761) = 7.655464957909747104 C4(601,761) = 6088 Sum = 3094.993591695582987 Averaged sum = 0.3092210602153644706 logp*logq = 42.45233139611209813 -------------- ************************************* p = 601; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.923301835743002350 E18 -------------- Searches starting with [601,769]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(601,769) = 0.8871000427289893423 D2(601,769) = 0.09411527251354928035 C1(601,769) = 1.386677939595706926 C2(601,769) = 1.814274798692342173 C3(601,769) = 13.11534614205675731 C4(601,769) = 6152 Sum = 4338.254796411040451 Averaged sum = 0.4334353877920911630 logp*logq = 42.51924541700446507 -------------- ************************************* p = 601; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.021973696003122772 E18 -------------- Searches starting with [601,773]-exponents: u = 1, v = 25 n_start has 75 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(601,773) = 0.5548059029612802090 D2(601,773) = 0.03462039279028443033 C1(601,773) = 0.8141730449374808401 C2(601,773) = 1.770098525341707769 C3(601,773) = 4.532025739945008666 C4(601,773) = 6184 Sum = 3910.154008791902961 Averaged sum = 0.3906638034560798242 logp*logq = 42.55244183353709777 -------------- ************************************* p = 601; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.389762360390231679 E18 -------------- Searches starting with [601,787]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(601,787) = 0.5988204236665838853 D2(601,787) = 0.1041940985207758333 C1(601,787) = 0.8406982647102734610 C2(601,787) = 1.857797592234225025 C3(601,787) = 4.760734251585459787 C4(601,787) = 6296 Sum = 4136.411658397089122 Averaged sum = 0.4132692235385242404 logp*logq = 42.66729149264817610 -------------- ************************************* p = 601; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.674993015725323640 E18 -------------- Searches starting with [601,797]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(601,797) = 1.005800164828927907 D2(601,797) = 0.1027146332779641869 C1(601,797) = 1.443751426772201689 C2(601,797) = 1.874702230028713719 C3(601,797) = 14.58094988006893276 C4(601,797) = 6376 Sum = 4521.070735804909580 Averaged sum = 0.4517005430917084204 logp*logq = 42.74808290607291126 -------------- ************************************* p = 601; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.043753559297770640 E18 -------------- Searches starting with [601,809]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(601,809) = 0.7137068043087369206 D2(601,809) = 0.1128546462630551413 C1(601,809) = 1.061706359664765329 C2(601,809) = 1.904739381219251138 C3(601,809) = 7.175053855637617517 C4(601,809) = 6472 Sum = 3860.206701495644985 Averaged sum = 0.3856735639420166834 logp*logq = 42.84370503335679344 -------------- ************************************* p = 601; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.108148199852529859 E18 -------------- Searches starting with [601,811]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(601,811) = 0.6737921988526958206 D2(601,811) = 0.1417322490859060698 C1(601,811) = 0.9712271998147340645 C2(601,811) = 1.933986244884528525 C3(601,811) = 6.065844966383488672 C4(601,811) = 6488 Sum = 4225.475701246536235 Averaged sum = 0.4221676192673130417 logp*logq = 42.85950404122188280 -------------- ************************************* p = 601; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.443256272420356496 E18 -------------- Searches starting with [601,821]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(601,821) = 0.8558542881764067801 D2(601,821) = 0.1042916798848250550 C1(601,821) = 1.278204899008238774 C2(601,821) = 1.917359860676579335 C3(601,821) = 10.72361732226794254 C4(601,821) = 6568 Sum = 4130.555601121958227 Averaged sum = 0.4126841443822517961 logp*logq = 42.93791917622375756 -------------- ************************************* p = 601; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.512971778815927358 E18 -------------- Searches starting with [601,823]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(601,823) = 0.6508547452002907856 D2(601,823) = 0.1306681824439760014 C1(601,823) = 0.9413297197946933443 C2(601,823) = 1.944102628841595262 C3(601,823) = 5.738407790966729606 C4(601,823) = 6584 Sum = 4153.055777998251094 Averaged sum = 0.4149321388748377554 logp*logq = 42.95348754140901131 -------------- ************************************* p = 601; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.655174603729396106 E18 -------------- Searches starting with [601,827]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(601,827) = 0.8638594292225195474 D2(601,827) = 0.01717383052691169106 C1(601,827) = 1.390525704243084578 C2(601,827) = 1.851793623637200991 C3(601,827) = 13.20934797338407128 C4(601,827) = 6616 Sum = 1820.890535166734073 Averaged sum = 0.1819253207280181910 logp*logq = 42.98451109277542625 -------------- ************************************* p = 601; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.727681767202867699 E18 -------------- Searches starting with [601,829]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(601,829) = 0.6870704589191076654 D2(601,829) = 0.03655176386426677803 C1(601,829) = 1.105939651441722564 C2(601,829) = 1.871537717699902954 C3(601,829) = 7.788986324212770064 C4(601,829) = 6632 Sum = 3836.384635328372072 Averaged sum = 0.3832934993833921543 logp*logq = 42.99996664361010527 -------------- ************************************* p = 601; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.104679411550359002 E18 -------------- Searches starting with [601,839]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(601,839) = 0.5740803995626378948 D2(601,839) = 0.1396184240135120531 C1(601,839) = 0.9298213952364092244 C2(601,839) = 1.467737584677910779 C3(601,839) = 5.617133220252753420 C4(601,839) = 6712 Sum = 4015.214142431195134 Averaged sum = 0.4011603699102003331 logp*logq = 43.07668932462475668 -------------- ************************************* p = 601; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.674866172116794781 E18 -------------- Searches starting with [601,853]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(601,853) = 0.5507443118888710352 D2(601,853) = 0.1216064779998093713 C1(601,853) = 0.7860771581360338849 C2(601,853) = 1.983086066510594144 C3(601,853) = 4.301745426298714929 C4(601,853) = 6824 Sum = 4089.490577285478286 Averaged sum = 0.4085813345274731028 logp*logq = 43.18257865497637767 -------------- ************************************* p = 601; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.847311498752246775 E18 -------------- Searches starting with [601,857]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(601,857) = 0.9304525160197081962 D2(601,857) = 0.1046532125268114868 C1(601,857) = 1.516998190151772124 C2(601,857) = 1.187814996942395245 C3(601,857) = 16.70432405200439440 C4(601,857) = 6856 Sum = 1455.312414261553417 Averaged sum = 0.1454003810831804793 logp*logq = 43.21251365663774931 -------------- ************************************* p = 601; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.935178652980727460 E18 -------------- Searches starting with [601,859]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(601,859) = 0.7235707954685887568 D2(601,859) = 0.004006007312224479643 C1(601,859) = 1.179686256436042462 C2(601,859) = 1.890667930815850374 C3(601,859) = 8.931552291212618544 C4(601,859) = 6872 Sum = 3800.000826238291145 Averaged sum = 0.3796583900727636272 logp*logq = 43.22742880309883638 -------------- ************************************* p = 601; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.114258629885481871 E18 -------------- Searches starting with [601,863]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(601,863) = 0.6692335006968018888 D2(601,863) = 0.03735990904286318322 C1(601,863) = 0.9778193364888073772 C2(601,863) = 1.924736828231548071 C3(601,863) = 6.140519660224905197 C4(601,863) = 6904 Sum = 3730.560963330761919 Averaged sum = 0.3727206477501011009 logp*logq = 43.25715519772382221 -------------- ************************************* p = 601; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.777387080684871468 E18 -------------- Searches starting with [601,877]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(601,877) = 0.7669187010675472108 D2(601,877) = 0.1159409838449903371 C1(601,877) = 1.259402496872051159 C2(601,877) = 1.305761372866069632 C3(601,877) = 10.35583161978897314 C4(601,877) = 7016 Sum = 3665.015408156575299 Averaged sum = 0.3661719860282321210 logp*logq = 43.36012331523506495 -------------- ************************************* p = 601; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.977629892851766177 E18 -------------- Searches starting with [601,881]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(601,881) = 0.5672283866839286928 D2(601,881) = 0.01384829524186264656 C1(601,881) = 0.8142139452569606970 C2(601,881) = 1.930799360416432446 C3(601,881) = 4.532369798115228962 C4(601,881) = 7048 Sum = 4064.653576296881462 Averaged sum = 0.4060998677487143033 logp*logq = 43.38924097610657865 -------------- ************************************* p = 601; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.079608389771572900 E18 -------------- Searches starting with [601,883]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(601,883) = 0.5761587905558142313 D2(601,883) = 0.02933600875147215246 C1(601,883) = 0.7922534540434854686 C2(601,883) = 1.946638972313178177 C3(601,883) = 4.351343043195662893 C4(601,883) = 7064 Sum = 3884.328019122255386 Averaged sum = 0.3880835267381611935 logp*logq = 43.40375026788951934 -------------- ************************************* p = 601; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.287341823955689848 E18 -------------- Searches starting with [601,887]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(601,887) = 0.5564415279215038052 D2(601,887) = 0.06211069432665873694 C1(601,887) = 0.8469332313403475134 C2(601,887) = 1.980115056238560738 C3(601,887) = 4.816148286522597189 C4(601,887) = 7096 Sum = 3884.591906326880513 Averaged sum = 0.3881098917301309335 logp*logq = 43.43267052021630103 -------------- ************************************* p = 601; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.404870093462596683 E18 -------------- Searches starting with [601,907]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(601,907) = 0.6527305736626454927 D2(601,907) = 0.02540544763984866860 C1(601,907) = 0.8855360235348620393 C2(601,907) = 1.975957678433173142 C3(601,907) = 5.173887331624452694 C4(601,907) = 7256 Sum = 3761.182067484398138 Averaged sum = 0.3757800047441700607 logp*logq = 43.57534298476990064 -------------- ************************************* p = 601; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.644886496670364065 E18 -------------- Searches starting with [601,911]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(601,911) = 0.5336899551026235635 D2(601,911) = 0.05515599326832053221 C1(601,911) = 0.7368770118182732881 C2(601,911) = 2.006397211254120761 C3(601,911) = 3.926315771066811910 C4(601,911) = 7288 Sum = 4059.705576512013976 Averaged sum = 0.4056055126897805950 logp*logq = 43.60349966358044681 -------------- ************************************* p = 601; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.142303204825249166 E18 -------------- Searches starting with [601,919]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(601,919) = 0.9068126207605240945 D2(601,919) = 0.08605353717296203301 C1(601,919) = 1.213681837820902014 C2(601,919) = 1.289602302792491500 C3(601,919) = 9.513279586490835785 C4(601,919) = 7352 Sum = 3638.622133955123659 Averaged sum = 0.3635350318668322169 logp*logq = 43.65944401938947775 -------------- ************************************* p = 601; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.797839325167804713 E18 -------------- Searches starting with [601,929]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(601,929) = 0.9156173068924299708 D2(601,929) = 0.1160251950807031272 C1(601,929) = 1.235177138308232080 C2(601,929) = 1.823799800234151424 C3(601,929) = 9.900503725406708560 C4(601,929) = 7432 Sum = 3389.340197417287416 Averaged sum = 0.3386292534136564508 logp*logq = 43.72869355823702310 -------------- ************************************* p = 601; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.035041809416186897 E19 -------------- Searches starting with [601,937]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(601,937) = 0.6410706719189828227 D2(601,937) = 0.03126467836689695327 C1(601,937) = 0.9149981793430627261 C2(601,937) = 2.019203130627800800 C3(601,937) = 5.464695377185778003 C4(601,937) = 7496 Sum = 3959.841516892558190 Averaged sum = 0.3956280864114854820 logp*logq = 43.78355858835951635 -------------- ************************************* p = 601; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.063642058477054269 E19 -------------- Searches starting with [601,941]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(601,941) = 0.5424864188562507819 D2(601,941) = 0.05869354792507628833 C1(601,941) = 0.7874274102258469619 C2(601,941) = 2.047305387259929814 C3(601,941) = 4.312539868583750174 C4(601,941) = 7528 Sum = 3919.622659471680623 Averaged sum = 0.3916098171117674715 logp*logq = 43.81081569000160085 -------------- ************************************* p = 601; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.107791169774063124 E19 -------------- Searches starting with [601,947]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(601,947) = 0.7800140003353413813 D2(601,947) = 0.07670915095286860982 C1(601,947) = 1.050530864616451872 C2(601,947) = 1.317704000002806393 C3(601,947) = 7.027757552655599157 C4(601,947) = 7576 Sum = 3818.617534284884986 Averaged sum = 0.3815183868802962320 logp*logq = 43.85148486251517179 -------------- ************************************* p = 601; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.153476480219588106 E19 -------------- Searches starting with [601,953]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(601,953) = 0.6266430634553303369 D2(601,953) = 0.1029243141009777093 C1(601,953) = 1.056139780187756640 C2(601,953) = 1.429525279435623348 C3(601,953) = 7.101302795670780204 C4(601,953) = 7624 Sum = 3919.392297898809924 Averaged sum = 0.3915868016683794509 logp*logq = 43.89189717538399361 -------------- ************************************* p = 601; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.266294482281608960 E19 -------------- Searches starting with [601,967]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(601,967) = 0.7711716375357963418 D2(601,967) = 0.0008142852944526319550 C1(601,967) = 1.053551217250202090 C2(601,967) = 2.029884278918798377 C3(601,967) = 7.067265879917820051 C4(601,967) = 7736 Sum = 3875.646752960848667 Averaged sum = 0.3872161807334247843 logp*logq = 43.98521167199699424 -------------- ************************************* p = 601; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.300187040208252944 E19 -------------- Searches starting with [601,971]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(601,971) = 0.8952928144677490664 D2(601,971) = 0.02389137626694390459 C1(601,971) = 1.337105028921716497 C2(601,971) = 2.053620715266357499 C3(601,971) = 11.96244065505442230 C4(601,971) = 7768 Sum = 4444.472478365569745 Averaged sum = 0.4440476049920641167 logp*logq = 44.01162489808831567 -------------- ************************************* p = 601; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.352459317426519437 E19 -------------- Searches starting with [601,977]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(601,977) = 0.8084960030870966233 D2(601,977) = 0.06082017458811112559 C1(601,977) = 1.146275339012290296 C2(601,977) = 2.091533430832288555 C3(601,977) = 8.394501646231746349 C4(601,977) = 7816 Sum = 4537.790088763710246 Averaged sum = 0.4533709749988720398 logp*logq = 44.05104141863619983 -------------- ************************************* p = 601; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.406493665421141502 E19 -------------- Searches starting with [601,983]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(601,983) = 1.340725405479123434 D2(601,983) = 0.05366249458847916100 C1(601,983) = 2.283682136716131507 C2(601,983) = 1.115848208909994113 C3(601,983) = 69.31720494751274881 C4(601,983) = 7864 Sum = 1149.935353995406388 Averaged sum = 0.1148901342786898180 logp*logq = 44.09021661203576346 -------------- ************************************* p = 601; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.481363736785654314 E19 -------------- Searches starting with [601,991]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(601,991) = 0.6919231416130173446 D2(601,991) = 0.08530678826705144723 C1(601,991) = 0.9952371025070734505 C2(601,991) = 1.856380566655436798 C3(601,991) = 6.342278657060227960 C4(601,991) = 7928 Sum = 4286.660197399374064 Averaged sum = 0.4282805672294309186 logp*logq = 44.14207987416827454 -------------- ************************************* p = 601; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.539698370636877619 E19 -------------- Searches starting with [601,997]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(601,997) = 0.5830604232186839217 D2(601,997) = 0.08228827963459881650 C1(601,997) = 0.8744795346409786001 C2(601,997) = 1.854406903471159075 C3(601,997) = 5.068792366212259851 C4(601,997) = 7976 Sum = 3770.906235509982377 Averaged sum = 0.3767515471585555377 logp*logq = 44.18070330090589306 -------------- ************************************* p = 607; q = 613; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 730332630487105659.7 -------------- Searches starting with [607,613]-exponents: u = 1, v = 651 n_start has 1818 digits --- performed 5000 steps in the continued fraction search [607,613]-exponents: u = 464, v = 181 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(607,613) = 0.6304863862588511529 D2(607,613) = 0.2252634367298507132 C1(607,613) = 0.8112275010985834951 C2(607,613) = 1.247133913366393271 C3(607,613) = 4.512991878434312456 C4(607,613) = 4904 Sum = 5540.399362640406539 Averaged sum = 0.5540953457986205159 logp*logq = 41.13227648347396285 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(607,613) = 0.6304863862588511529 D2(607,613) = 0.2252634367298507132 C1(607,613) = 0.8112275010985834951 C2(607,613) = 1.247133913366393271 C3(607,613) = 4.512991878434312456 C4(607,613) = 4904 Sum = 5540.399362640406539 Averaged sum = 0.5540953457986205159 logp*logq = 41.13227648347396285 -------------- ************************************* p = 607; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 761417420745712049.7 -------------- Searches starting with [607,617]-exponents: u = 1, v = 392 n_start has 1097 digits --- performed 5000 steps in the continued fraction search [607,617]-exponents: u = 362, v = 19 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(607,617) = 0.7350362179261666124 D2(607,617) = 0.08687956506144704023 C1(607,617) = 0.9636048372790290072 C2(607,617) = 1.182014308265435655 C3(607,617) = 5.989578190090481827 C4(607,617) = 4936 Sum = 5255.692176895062699 Averaged sum = 0.5256217798674930192 logp*logq = 41.17395811848401361 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(607,617) = 0.7350362179261666124 D2(607,617) = 0.08687956506144704023 C1(607,617) = 0.9636048372790290072 C2(607,617) = 1.182014308265435655 C3(607,617) = 5.989578190090481827 C4(607,617) = 4936 Sum = 5255.692176895062699 Averaged sum = 0.5256217798674930192 logp*logq = 41.17395811848401361 -------------- ************************************* p = 607; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 777373800997829489.3 -------------- Searches starting with [607,619]-exponents: u = 1, v = 327 n_start has 916 digits --- performed 5000 steps in the continued fraction search [607,619]-exponents: u = 200, v = 113 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(607,619) = 0.6477340628296822145 D2(607,619) = 0.02760202543929742390 C1(607,619) = 0.8554412814090820412 C2(607,619) = 1.153771322955431049 C3(607,619) = 4.899303998421420695 C4(607,619) = 4952 Sum = 5148.801251415094831 Averaged sum = 0.5149316183033398170 logp*logq = 41.19469771196060108 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(607,619) = 0.6477340628296822145 D2(607,619) = 0.02760202543929742390 C1(607,619) = 0.8554412814090820412 C2(607,619) = 1.153771322955431049 C3(607,619) = 4.899303998421420695 C4(607,619) = 4952 Sum = 5148.801251415094831 Averaged sum = 0.5149316183033398170 logp*logq = 41.19469771196060108 -------------- ************************************* p = 607; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 879161708914889366.9 -------------- Searches starting with [607,631]-exponents: u = 1, v = 165 n_start has 465 digits starting right neighbors generation We generated 3001 left neighbors We generated 7009 right neighbors We generated 10009 non-negative rho_i D1(607,631) = 0.6556017258374446337 D2(607,631) = 0.006970191461678374940 C1(607,631) = 0.8938392988974562156 C2(607,631) = 1.249777832545519231 C3(607,631) = 5.261533123497064981 C4(607,631) = 5048 Sum = 4596.665950776435972 Averaged sum = 0.4592532671372200991 logp*logq = 41.31774524486205644 -------------- ************************************* p = 607; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 972367633999572199.3 -------------- Searches starting with [607,641]-exponents: u = 1, v = 117 n_start has 332 digits starting right neighbors generation We generated 1574 left neighbors We generated 8436 right neighbors We generated 10009 non-negative rho_i D1(607,641) = 0.5696661819015477119 D2(607,641) = 0.002212964176932113362 C1(607,641) = 0.7910935702890194930 C2(607,641) = 1.312396144279976577 C3(607,641) = 4.347317259347300539 C4(607,641) = 5128 Sum = 4587.962956937074765 Averaged sum = 0.4583837503184208977 logp*logq = 41.41851035214174718 -------------- ************************************* p = 607; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 991975329503571993.9 -------------- Searches starting with [607,643]-exponents: u = 1, v = 111 n_start has 315 digits starting right neighbors generation We generated 1390 left neighbors We generated 8620 right neighbors We generated 10009 non-negative rho_i D1(607,643) = 0.6575270232224475150 D2(607,643) = 0.01462708517173957609 C1(607,643) = 0.9163903872290342301 C2(607,643) = 1.335071468724758248 C3(607,643) = 5.486628908118171760 C4(607,643) = 5144 Sum = 4163.105324179166438 Averaged sum = 0.4159361898470542949 logp*logq = 41.43847463243426374 -------------- ************************************* p = 607; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.032193242612275735 E18 -------------- Searches starting with [607,647]-exponents: u = 1, v = 100 n_start has 284 digits starting right neighbors generation We generated 1157 left neighbors We generated 8853 right neighbors We generated 10009 non-negative rho_i D1(607,647) = 0.5572224712358248897 D2(607,647) = 0.008984179633670861866 C1(607,647) = 0.7815118051137390258 C2(607,647) = 1.352053124364382798 C3(607,647) = 4.270622328649641173 C4(607,647) = 5176 Sum = 4028.788387097658974 Averaged sum = 0.4025165737933518807 logp*logq = 41.47821757401627960 -------------- ************************************* p = 607; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.095095934173250068 E18 -------------- Searches starting with [607,653]-exponents: u = 1, v = 87 n_start has 248 digits starting right neighbors generation We generated 844 left neighbors We generated 9166 right neighbors We generated 10009 non-negative rho_i D1(607,653) = 0.6170543549929300618 D2(607,653) = 0.01829452788045973833 C1(607,653) = 0.8724233397973854229 C2(607,653) = 1.390601945027232555 C3(607,653) = 5.056322954878383007 C4(607,653) = 5224 Sum = 4544.064892714251483 Averaged sum = 0.4539978911693727128 logp*logq = 41.53737364444078003 -------------- ************************************* p = 607; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.161203505210143403 E18 -------------- Searches starting with [607,659]-exponents: u = 1, v = 77 n_start has 220 digits starting right neighbors generation We generated 674 left neighbors We generated 9336 right neighbors We generated 10009 non-negative rho_i D1(607,659) = 0.9519149395567824243 D2(607,659) = 0.01275110541055657857 C1(607,659) = 1.356612637944589282 C2(607,659) = 1.413363657262137116 C3(607,659) = 12.42964026229470555 C4(607,659) = 5272 Sum = 5369.057944054240898 Averaged sum = 0.5364230136931002996 logp*logq = 41.59598864566678615 -------------- ************************************* p = 607; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.183974229795922759 E18 -------------- Searches starting with [607,661]-exponents: u = 1, v = 75 n_start has 215 digits starting right neighbors generation We generated 656 left neighbors We generated 9354 right neighbors We generated 10009 non-negative rho_i D1(607,661) = 0.6604368671768347971 D2(607,661) = 0.02738597038081057923 C1(607,661) = 0.9437276508476349199 C2(607,661) = 1.435055075103582963 C3(607,661) = 5.772449640839127843 C4(607,661) = 5288 Sum = 3643.940707469748793 Averaged sum = 0.3640664109770954934 logp*logq = 41.61540844474270180 -------------- ************************************* p = 607; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.328666424929269138 E18 -------------- Searches starting with [607,673]-exponents: u = 1, v = 62 n_start has 179 digits starting right neighbors generation We generated 483 left neighbors We generated 9527 right neighbors We generated 10009 non-negative rho_i D1(607,673) = 0.7823286462317611922 D2(607,673) = 0.02271128360625276935 C1(607,673) = 1.133098040549875964 C2(607,673) = 1.479101566077359284 C3(607,673) = 8.206090344454756286 C4(607,673) = 5384 Sum = 3378.107598081288778 Averaged sum = 0.3375070035049744008 logp*logq = 41.73070742507546147 -------------- ************************************* p = 607; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.380094988748749355 E18 -------------- Searches starting with [607,677]-exponents: u = 1, v = 58 n_start has 167 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(607,677) = 0.5816968160511916381 D2(607,677) = 0.02454866069934732212 C1(607,677) = 0.8456162984171904008 C2(607,677) = 1.495445781181421238 C3(607,677) = 4.810696968025543558 C4(607,677) = 5416 Sum = 4301.758819224284518 Averaged sum = 0.4297890717578463900 logp*logq = 41.76868400311972283 -------------- ************************************* p = 607; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.460382720020084692 E18 -------------- Searches starting with [607,683]-exponents: u = 1, v = 54 n_start has 156 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(607,683) = 0.8390063735816998615 D2(607,683) = 0.02330667092514830255 C1(607,683) = 1.143890353176019141 C2(607,683) = 1.515400719027544227 C3(607,683) = 8.372267235923821507 C4(607,683) = 5464 Sum = 3739.302776777228024 Averaged sum = 0.3735940430389877135 logp*logq = 41.82523021226122513 -------------- ************************************* p = 607; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.573536488586217103 E18 -------------- Searches starting with [607,691]-exponents: u = 1, v = 49 n_start has 142 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(607,691) = 0.6536475422237760741 D2(607,691) = 0.04394334588584070897 C1(607,691) = 0.9167468699364144189 C2(607,691) = 1.559971413691459346 C3(607,691) = 5.490263427697778388 C4(607,691) = 5528 Sum = 4178.662532707068513 Averaged sum = 0.4174905118100777813 logp*logq = 41.89985730058778659 -------------- ************************************* p = 607; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.725304874681765746 E18 -------------- Searches starting with [607,701]-exponents: u = 1, v = 44 n_start has 128 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(607,701) = 0.9162908190582044963 D2(607,701) = 0.01608436790939275986 C1(607,701) = 1.293631534178207867 C2(607,701) = 1.566160164764910210 C3(607,701) = 11.05727291083842830 C4(607,701) = 5608 Sum = 4661.646872238318943 Averaged sum = 0.4657455162591986155 logp*logq = 41.99193544770560904 -------------- ************************************* p = 607; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.855446649064884412 E18 -------------- Searches starting with [607,709]-exponents: u = 1, v = 41 n_start has 120 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(607,709) = 0.7521636029473288407 D2(607,709) = 0.01173484508726171727 C1(607,709) = 1.024535993633978330 C2(607,709) = 1.585390419739545295 C3(607,709) = 6.707380705810072823 C4(607,709) = 5672 Sum = 3864.471227387834447 Averaged sum = 0.3860996330690213255 logp*logq = 42.06465712213614146 -------------- ************************************* p = 607; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.029688271978279576 E18 -------------- Searches starting with [607,719]-exponents: u = 1, v = 37 n_start has 109 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(607,719) = 0.6579019012674554287 D2(607,719) = 0.01583829460963636872 C1(607,719) = 0.9914947945146429581 C2(607,719) = 1.616058363214794249 C3(607,719) = 6.308072764277470286 C4(607,719) = 5752 Sum = 4079.904941821234380 Averaged sum = 0.4076236329125021860 logp*logq = 42.15441389455304917 -------------- ************************************* p = 607; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.178841600285668128 E18 -------------- Searches starting with [607,727]-exponents: u = 1, v = 35 n_start has 103 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(607,727) = 0.7687144310386684604 D2(607,727) = 0.02208473470389755912 C1(607,727) = 1.101544300293304579 C2(607,727) = 1.641999398352109203 C3(607,727) = 7.738914541318005374 C4(607,727) = 5816 Sum = 4419.646835883603877 Averaged sum = 0.4415672730426220278 logp*logq = 42.22532503344780320 -------------- ************************************* p = 607; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.296684349011973576 E18 -------------- Searches starting with [607,733]-exponents: u = 1, v = 33 n_start has 98 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(607,733) = 1.000094021873852644 D2(607,733) = 0.05328571096458474251 C1(607,733) = 1.522631999172052267 C2(607,733) = 1.684031798214781322 C3(607,733) = 16.91983267018328262 C4(607,733) = 5864 Sum = 5139.355586012609024 Averaged sum = 0.5134734325120001022 logp*logq = 42.27799816935502781 -------------- ************************************* p = 607; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.419861303757268246 E18 -------------- Searches starting with [607,739]-exponents: u = 1, v = 32 n_start has 95 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(607,739) = 0.5931754028182644756 D2(607,739) = 0.07920985190277514272 C1(607,739) = 0.8552437346672192222 C2(607,739) = 1.721226389489228923 C3(607,739) = 4.897506437046182358 C4(607,739) = 5912 Sum = 4065.639876580990782 Averaged sum = 0.4061984090899181519 logp*logq = 42.33024189992199684 -------------- ************************************* p = 607; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.505038885635391991 E18 -------------- Searches starting with [607,743]-exponents: u = 1, v = 31 n_start has 92 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(607,743) = 0.6080512388299360900 D2(607,743) = 0.06098000430016046269 C1(607,743) = 0.8544088822899906859 C2(607,743) = 1.714359523079331402 C3(607,743) = 4.889917042386481365 C4(607,743) = 5944 Sum = 4102.856466381082592 Averaged sum = 0.4099167215886784485 logp*logq = 42.36483593151690801 -------------- ************************************* p = 607; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.683004054762555510 E18 -------------- Searches starting with [607,751]-exponents: u = 1, v = 30 n_start has 90 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(607,751) = 0.7172811395268997777 D2(607,751) = 0.01266162890927645718 C1(607,751) = 1.105310009753807805 C2(607,751) = 1.690371749351234075 C3(607,751) = 7.793240313346356185 C4(607,751) = 6008 Sum = 2765.651204787791629 Averaged sum = 0.2763164356866611678 logp*logq = 42.43346875661453958 -------------- ************************************* p = 607; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.823376762624173508 E18 -------------- Searches starting with [607,757]-exponents: u = 1, v = 29 n_start has 87 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(607,757) = 1.034486998898022402 D2(607,757) = 0.01035808084586336624 C1(607,757) = 1.599495820500685358 C2(607,757) = 1.701517750794086481 C3(607,757) = 19.51670926576234378 C4(607,757) = 6056 Sum = 2225.671397051006049 Averaged sum = 0.2223670093966436256 logp*logq = 42.48446527604575579 -------------- ************************************* p = 607; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.920360939583413424 E18 -------------- Searches starting with [607,761]-exponents: u = 1, v = 28 n_start has 84 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(607,761) = 0.7896767208995249183 D2(607,761) = 0.06963792322123044358 C1(607,761) = 1.117311407216259015 C2(607,761) = 1.761559908268444156 C3(607,761) = 7.968935210202296363 C4(607,761) = 6088 Sum = 4437.962134615932747 Averaged sum = 0.4433971560211742179 logp*logq = 42.51823889198036903 -------------- ************************************* p = 607; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.122784661248700571 E18 -------------- Searches starting with [607,769]-exponents: u = 1, v = 27 n_start has 81 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(607,769) = 0.8390177027580009547 D2(607,769) = 0.08740022158045461914 C1(607,769) = 1.110863412038666256 C2(607,769) = 1.793825400299819840 C3(607,769) = 7.874052788350223529 C4(607,769) = 6152 Sum = 2647.601906512257601 Averaged sum = 0.2645221207425574583 logp*logq = 42.58525679728639381 -------------- ************************************* p = 607; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.228356155692266970 E18 -------------- Searches starting with [607,773]-exponents: u = 1, v = 26 n_start has 78 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(607,773) = 0.9289770139388564132 D2(607,773) = 0.03577391266873261817 C1(607,773) = 1.359612671888061755 C2(607,773) = 1.756691535823454092 C3(607,773) = 12.49910343145369662 C4(607,773) = 6184 Sum = 4575.843783827784045 Averaged sum = 0.4571729227523013333 logp*logq = 42.61850475145226157 -------------- ************************************* p = 607; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.621908299310995627 E18 -------------- Searches starting with [607,787]-exponents: u = 1, v = 24 n_start has 73 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(607,787) = 0.7814856825211447542 D2(607,787) = 0.1203665847398604578 C1(607,787) = 1.115689495691123826 C2(607,787) = 1.858481679084672073 C3(607,787) = 7.944961650381401239 C4(607,787) = 6296 Sum = 4201.238581179518165 Averaged sum = 0.4197460866399758382 logp*logq = 42.73353271533917676 -------------- ************************************* p = 607; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.927165363258510866 E18 -------------- Searches starting with [607,797]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(607,797) = 0.6997262114620378326 D2(607,797) = 0.001402996762225511286 C1(607,797) = 1.033721869415458440 C2(607,797) = 1.773390593512975043 C3(607,797) = 6.822817255560016612 C4(607,797) = 6376 Sum = 3931.700588147686150 Averaged sum = 0.3928165239432197172 logp*logq = 42.81444955791164937 -------------- ************************************* p = 607; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.321871237163525301 E18 -------------- Searches starting with [607,809]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(607,809) = 0.6269714208461670842 D2(607,809) = 0.01245015222193307111 C1(607,809) = 0.9011110121299709805 C2(607,809) = 1.804334887178129068 C3(607,809) = 5.333088910776144472 C4(607,809) = 6472 Sum = 3813.633789677341666 Averaged sum = 0.3810204605532362540 logp*logq = 42.91022013911435342 -------------- ************************************* p = 607; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.390802451423219601 E18 -------------- Searches starting with [607,811]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(607,811) = 0.6722456027683473189 D2(607,811) = 0.03382492203251772364 C1(607,811) = 1.070548368818487574 C2(607,811) = 1.826078917831140179 C3(607,811) = 7.305901702349315347 C4(607,811) = 6488 Sum = 3613.312444239954483 Averaged sum = 0.3610063387191482149 logp*logq = 42.92604367503270506 -------------- ************************************* p = 607; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.749545247538747936 E18 -------------- Searches starting with [607,821]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(607,821) = 0.5405642241624682814 D2(607,821) = 0.009393193342053595431 C1(607,821) = 0.8654778472157202325 C2(607,821) = 1.822461374133807876 C3(607,821) = 4.991504547720234607 C4(607,821) = 6568 Sum = 4031.821638584087290 Averaged sum = 0.4028196261948333789 logp*logq = 43.00458054999599497 -------------- ************************************* p = 607; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.824183083163229281 E18 -------------- Searches starting with [607,823]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(607,823) = 0.8397799240620614649 D2(607,823) = 0.02940190358486598834 C1(607,823) = 1.344482093069933097 C2(607,823) = 1.842836349982485249 C3(607,823) = 12.15268220766567981 C4(607,823) = 6584 Sum = 2067.757457383646593 Averaged sum = 0.2065898149049502041 logp*logq = 43.02017308516038481 -------------- ************************************* p = 607; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.976431793440222610 E18 -------------- Searches starting with [607,827]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(607,827) = 0.5238024249703466672 D2(607,827) = 0.07272379330159474899 C1(607,827) = 0.7416821774752570587 C2(607,827) = 1.886888091452139273 C3(607,827) = 3.966050886599108857 C4(607,827) = 6616 Sum = 4083.768843975548276 Averaged sum = 0.4080096756894343367 logp*logq = 43.05124480077399792 -------------- ************************************* p = 607; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.054064002158990587 E18 -------------- Searches starting with [607,829]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(607,829) = 0.5800051733520905627 D2(607,829) = 0.09644258785585319722 C1(607,829) = 0.8664759872296263958 C2(607,829) = 1.910970480804447813 C3(607,829) = 5.000768254085823049 C4(607,829) = 6632 Sum = 3767.198981062303795 Averaged sum = 0.3763811550666703762 logp*logq = 43.06672434644286577 -------------- ************************************* p = 607; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.457738260764073785 E18 -------------- Searches starting with [607,839]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(607,839) = 0.9663460618332873302 D2(607,839) = 0.04911843616741460390 C1(607,839) = 1.352858138407836834 C2(607,839) = 1.885921962448906060 C3(607,839) = 12.34325171715173561 C4(607,839) = 6712 Sum = 4480.025633940703403 Averaged sum = 0.4475997236427918277 logp*logq = 43.14356613987409552 -------------- ************************************* p = 607; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.068358803310418803 E18 -------------- Searches starting with [607,853]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(607,853) = 0.7950432527150168811 D2(607,853) = 0.02996862660964844465 C1(607,853) = 1.104074406236455479 C2(607,853) = 1.891448215120433217 C3(607,853) = 7.775373050136884957 C4(607,853) = 6824 Sum = 4073.876313736071883 Averaged sum = 0.4070213121926338178 logp*logq = 43.24961986403809693 -------------- ************************************* p = 607; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.253052009473890106 E18 -------------- Searches starting with [607,857]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(607,857) = 0.5648368079694314048 D2(607,857) = 0.06787491565928240366 C1(607,857) = 0.7781024460526411495 C2(607,857) = 1.930068865345324061 C3(607,857) = 4.243660551049231141 C4(607,857) = 6856 Sum = 3981.966472953179499 Averaged sum = 0.3978385925620121389 logp*logq = 43.27960133996680395 -------------- ************************************* p = 607; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.347163171179191113 E18 -------------- Searches starting with [607,859]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(607,859) = 0.7616761677748177285 D2(607,859) = 0.08832247715340826231 C1(607,859) = 1.025358500692892296 C2(607,859) = 1.950872350497905914 C3(607,859) = 6.717636837009430615 C4(607,859) = 6872 Sum = 3410.113354004663945 Averaged sum = 0.3407047011694139220 logp*logq = 43.29453964228108991 -------------- ************************************* p = 607; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.538975575819927509 E18 -------------- Searches starting with [607,863]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(607,863) = 0.5997270661153197540 D2(607,863) = 0.1330894300204970777 C1(607,863) = 0.8438099278308251753 C2(607,863) = 1.996348656317396313 C3(607,863) = 4.794581402228131427 C4(607,863) = 6904 Sum = 4101.870109219703083 Averaged sum = 0.4098181745648619325 logp*logq = 43.32431218730975190 -------------- ************************************* p = 607; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.249325931222309777 E18 -------------- Searches starting with [607,877]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(607,877) = 0.5552474789661940895 D2(607,877) = 0.08120317808953482693 C1(607,877) = 0.7833552835514156702 C2(607,877) = 1.971056592335935853 C3(607,877) = 4.285272146129905961 C4(607,877) = 7016 Sum = 3940.714927025306033 Averaged sum = 0.3937171472699876145 logp*logq = 43.42744016343314279 -------------- ************************************* p = 607; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.463849916947278189 E18 -------------- Searches starting with [607,881]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(607,881) = 0.8264813761701356482 D2(607,881) = 0.1217112112770202875 C1(607,881) = 1.166837661875461997 C2(607,881) = 2.012264894227520151 C3(607,881) = 8.736872840442609471 C4(607,881) = 7048 Sum = 4491.988289348772281 Averaged sum = 0.4487949135127157839 logp*logq = 43.45660302964557585 -------------- ************************************* p = 607; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.573105137941520876 E18 -------------- Searches starting with [607,883]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(607,883) = 0.7534520899297535759 D2(607,883) = 0.1103742213216320531 C1(607,883) = 1.022690485482471955 C2(607,883) = 1.351569903494561552 C3(607,883) = 6.684425359424440731 C4(607,883) = 7064 Sum = 3782.122070688885018 Averaged sum = 0.3778721221589454509 logp*logq = 43.47113484718992440 -------------- ************************************* p = 607; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.795669011019231524 E18 -------------- Searches starting with [607,887]-exponents: u = 1, v = 16 n_start has 50 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(607,887) = 0.6745432433506955770 D2(607,887) = 0.1287905041256570077 C1(607,887) = 1.108069338202172934 C2(607,887) = 1.389525398035923364 C3(607,887) = 7.833289541467165696 C4(607,887) = 7096 Sum = 3951.076151526389021 Averaged sum = 0.3947523380483953463 logp*logq = 43.50009999837969082 -------------- ************************************* p = 607; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.993142018164816301 E18 -------------- Searches starting with [607,907]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(607,907) = 0.8631676275138557442 D2(607,907) = 0.09854762454725197476 C1(607,907) = 1.429113657472044003 C2(607,907) = 1.254342711874535136 C3(607,907) = 14.22162954525518892 C4(607,907) = 7256 Sum = 3425.046083635366062 Averaged sum = 0.3421966313952808534 logp*logq = 43.64299396277932583 -------------- ************************************* p = 607; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.250361955727023108 E18 -------------- Searches starting with [607,911]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(607,911) = 0.5485945647888770391 D2(607,911) = 0.1307688658930691445 C1(607,911) = 0.7517106717587228519 C2(607,911) = 1.812698620962473640 C3(607,911) = 4.040627856093253030 C4(607,911) = 7288 Sum = 4071.889613783815076 Averaged sum = 0.4068228208396258443 logp*logq = 43.67119435500045137 -------------- ************************************* p = 607; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.783466712914007699 E18 -------------- Searches starting with [607,919]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(607,919) = 0.5954573438638346539 D2(607,919) = 0.04202446692270600788 C1(607,919) = 0.9118128052966664774 C2(607,919) = 1.994634580287840226 C3(607,919) = 5.440171425483007394 C4(607,919) = 7352 Sum = 3763.447103540588452 Averaged sum = 0.3760063046798469829 logp*logq = 43.72722556475314287 -------------- ************************************* p = 607; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.048610387353689991 E19 -------------- Searches starting with [607,929]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(607,929) = 0.7955287715376842227 D2(607,929) = 0.08434062268672181524 C1(607,929) = 1.328578256367778071 C2(607,929) = 1.270147189601348766 C3(607,929) = 11.79890184818021140 C4(607,929) = 7432 Sum = 3432.901120112680679 Averaged sum = 0.3429814287254151942 logp*logq = 43.79658261391980092 -------------- ************************************* p = 607; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.107844300503544549 E19 -------------- Searches starting with [607,937]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(607,937) = 0.6588864610150436553 D2(607,937) = 0.1167322523538038564 C1(607,937) = 0.9543103515247884028 C2(607,937) = 1.825688554633434914 C3(607,937) = 5.887051497067148080 C4(607,937) = 7496 Sum = 3676.496372779127345 Averaged sum = 0.3673190501327932206 logp*logq = 43.85153282232643528 -------------- ************************************* p = 607; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.138504403011186696 E19 -------------- Searches starting with [607,941]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(607,941) = 0.5424807228745415853 D2(607,941) = 0.1144179403159999608 C1(607,941) = 0.7511929921808630197 C2(607,941) = 1.824092213838912493 C3(607,941) = 4.036744025896467211 C4(607,941) = 7528 Sum = 4046.010763492218368 Averaged sum = 0.4042372628126904155 logp*logq = 43.87883224078021841 -------------- ************************************* p = 607; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.185835732542582133 E19 -------------- Searches starting with [607,947]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(607,947) = 0.6360125675081801695 D2(607,947) = 0.03074239005966605510 C1(607,947) = 0.9080059720755563220 C2(607,947) = 2.020358933629962246 C3(607,947) = 5.401835946353239558 C4(607,947) = 7576 Sum = 3949.653108046293459 Averaged sum = 0.3946101616591361233 logp*logq = 43.91956455242493373 -------------- ************************************* p = 607; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.234817071371299353 E19 -------------- Searches starting with [607,953]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(607,953) = 0.6717819388283050440 D2(607,953) = 0.07204611677900308313 C1(607,953) = 0.9599389759248028698 C2(607,953) = 2.062660985455506500 C3(607,953) = 5.948928846812853299 C4(607,953) = 7624 Sum = 4257.372192076328485 Averaged sum = 0.4253544002474101793 logp*logq = 43.96003960564878051 -------------- ************************************* p = 607; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.355787147983573018 E19 -------------- Searches starting with [607,967]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(607,967) = 0.6390516340623018046 D2(607,967) = 0.1014670496503185425 C1(607,967) = 0.9301926685783600477 C2(607,967) = 1.840472373360899610 C3(607,967) = 5.629122411443026406 C4(607,967) = 7736 Sum = 3570.791901208872364 Averaged sum = 0.3567581078238457752 logp*logq = 44.05349897357032215 -------------- ************************************* p = 607; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.392132075818436041 E19 -------------- Searches starting with [607,971]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(607,971) = 0.5854209909883009350 D2(607,971) = 0.09931536650509093334 C1(607,971) = 0.8727996746074681538 C2(607,971) = 1.839025258854249614 C3(607,971) = 5.059859019257172785 C4(607,971) = 7768 Sum = 3742.472509464090093 Averaged sum = 0.3739107312882495847 logp*logq = 44.07995320635155274 -------------- ************************************* p = 607; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.448189498302145166 E19 -------------- Searches starting with [607,977]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(607,977) = 0.6450247954600273513 D2(607,977) = 0.08889678504357687787 C1(607,977) = 1.000864405365470186 C2(607,977) = 1.698639996915558165 C3(607,977) = 6.418827521137456831 C4(607,977) = 7816 Sum = 3586.277056627065566 Averaged sum = 0.3583052309548471942 logp*logq = 44.11943092128098715 -------------- ************************************* p = 607; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.506140121950612344 E19 -------------- Searches starting with [607,983]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(607,983) = 0.5613193714167340004 D2(607,983) = 0.03269960009034926621 C1(607,983) = 0.7877459260471279991 C2(607,983) = 2.064390719282821745 C3(607,983) = 4.320366555219704217 C4(607,983) = 7864 Sum = 3912.139256826512396 Averaged sum = 0.3908621497478781493 logp*logq = 44.15866693440027428 -------------- ************************************* p = 607; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.586442277241339636 E19 -------------- Searches starting with [607,991]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(607,991) = 0.7345975874586763629 D2(607,991) = 0.06421779500588770654 C1(607,991) = 1.251758966137658657 C2(607,991) = 1.323389479973678425 C3(607,991) = 10.22979628528278459 C4(607,991) = 7928 Sum = 3851.320673942926852 Averaged sum = 0.3847857602101035919 logp*logq = 44.21061071455434746 -------------- ************************************* p = 607; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.649013676741267577 E19 -------------- Searches starting with [607,997]-exponents: u = 1, v = 12 n_start has 39 digits starting right neighbors generation We generated 26 left neighbors We generated 9984 right neighbors We generated 10009 non-negative rho_i D1(607,997) = 0.6983741284251778710 D2(607,997) = 0.07962779603801288297 C1(607,997) = 1.189958955644335475 C2(607,997) = 1.369889576264390593 C3(607,997) = 9.120303934601282626 C4(607,997) = 7976 Sum = 4020.824387425062626 Averaged sum = 0.4017208899415588596 logp*logq = 44.24929410439067958 -------------- ************************************* p = 613; q = 617; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 811088900196839559.5 -------------- Searches starting with [613,617]-exponents: u = 1, v = 986 n_start has 2755 digits **************************************************** Computing .... elapsed time = 48 minutes **************************************************** --- performed 5000 steps in the continued fraction search [613,617]-exponents: u = 80, v = 902 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(613,617) = 0.5975609343274637952 D2(613,617) = 0.3109078730529488655 C1(613,617) = 0.7586946142750488194 C2(613,617) = 1.283422270180508235 C3(613,617) = 4.098156590165200706 C4(613,617) = 4936 Sum = 5748.889551756150884 Averaged sum = 0.5749464498205971481 logp*logq = 41.23715406101705353 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(613,617) = 0.5975609343274637952 D2(613,617) = 0.3109078730529488655 C1(613,617) = 0.7586946142750488194 C2(613,617) = 1.283422270180508235 C3(613,617) = 4.098156590165200706 C4(613,617) = 4936 Sum = 5748.889551756150884 Averaged sum = 0.5749464498205971481 logp*logq = 41.23715406101705353 -------------- ************************************* p = 613; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 828112563825747707.1 -------------- Searches starting with [613,619]-exponents: u = 1, v = 658 n_start has 1840 digits --- performed 5000 steps in the continued fraction search [613,619]-exponents: u = 415, v = 237 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(613,619) = 0.5606545820611604902 D2(613,619) = 0.2225279544179613935 C1(613,619) = 0.7212451271668801087 C2(613,619) = 1.244040937072861528 C3(613,619) = 3.822530143431736376 C4(613,619) = 4952 Sum = 5543.722542808341675 Averaged sum = 0.5544276970505392213 logp*logq = 41.25792548670549037 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(613,619) = 0.5606545820611604902 D2(613,619) = 0.2225279544179613935 C1(613,619) = 0.7212451271668801087 C2(613,619) = 1.244040937072861528 C3(613,619) = 3.822530143431736376 C4(613,619) = 4952 Sum = 5543.722542808341675 Averaged sum = 0.5544276970505392213 logp*logq = 41.25792548670549037 -------------- ************************************* p = 613; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 936721005044277075.3 -------------- Searches starting with [613,631]-exponents: u = 1, v = 221 n_start has 622 digits --- performed 5000 steps in the continued fraction search [613,631]-exponents: u = 170, v = 29 --- starting right neighbors generation We generated 5274 left neighbors We generated 4736 right neighbors We generated 10009 non-negative rho_i D1(613,631) = 0.6921646851226583724 D2(613,631) = 0.001425828056666331792 C1(613,631) = 0.9301536570650925053 C2(613,631) = 1.193656197366308822 C3(613,631) = 5.636749884609776750 C4(613,631) = 5048 Sum = 4914.144492056211806 Averaged sum = 0.4909725738891209717 logp*logq = 41.38116187939049377 -------------- ************************************* p = 613; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.036189427633951910 E18 -------------- Searches starting with [613,641]-exponents: u = 1, v = 143 n_start has 405 digits starting right neighbors generation We generated 2199 left neighbors We generated 7811 right neighbors We generated 10009 non-negative rho_i D1(613,641) = 0.6306943025609732402 D2(613,641) = 0.01106083824746584760 C1(613,641) = 0.8663034040529323474 C2(613,641) = 1.281144778810415909 C3(613,641) = 5.005811733739176903 C4(613,641) = 5128 Sum = 4703.662649446166796 Averaged sum = 0.4699433159602524524 logp*logq = 41.48208164622248351 -------------- ************************************* p = 613; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.057116475085114220 E18 -------------- Searches starting with [613,643]-exponents: u = 1, v = 134 n_start has 380 digits starting right neighbors generation We generated 2055 left neighbors We generated 7955 right neighbors We generated 10009 non-negative rho_i D1(613,643) = 0.6113117662211579488 D2(613,643) = 0.002522381455647980805 C1(613,643) = 0.8430077993882245570 C2(613,643) = 1.286786591010841321 C3(613,643) = 4.793636209313936808 C4(613,643) = 5144 Sum = 4376.787669069124728 Averaged sum = 0.4372852102177165279 logp*logq = 41.50207656873565929 -------------- ************************************* p = 613; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.100042522602385845 E18 -------------- Searches starting with [613,647]-exponents: u = 1, v = 118 n_start has 335 digits starting right neighbors generation We generated 1481 left neighbors We generated 8529 right neighbors We generated 10009 non-negative rho_i D1(613,647) = 0.7846883374235663705 D2(613,647) = 0.01594608580904072955 C1(613,647) = 1.089412380325282764 C2(613,647) = 1.323485426813226784 C3(613,647) = 7.579108856291600490 C4(613,647) = 5176 Sum = 4837.166234051248207 Averaged sum = 0.4832816699022128292 logp*logq = 41.54188050986124789 -------------- ************************************* p = 613; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.167185975002843886 E18 -------------- Searches starting with [613,653]-exponents: u = 1, v = 101 n_start has 288 digits starting right neighbors generation We generated 1169 left neighbors We generated 8841 right neighbors We generated 10009 non-negative rho_i D1(613,653) = 0.5414652372364789614 D2(613,653) = 0.008611230857179142926 C1(613,653) = 0.7586672258084802230 C2(613,653) = 1.350500836972842433 C3(613,653) = 4.097947918841498244 C4(613,653) = 5224 Sum = 4513.759612140236677 Averaged sum = 0.4509700881347024355 logp*logq = 41.60112737611393344 -------------- ************************************* p = 613; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.237756750155645323 E18 -------------- Searches starting with [613,659]-exponents: u = 1, v = 88 n_start has 251 digits starting right neighbors generation We generated 854 left neighbors We generated 9156 right neighbors We generated 10009 non-negative rho_i D1(613,659) = 0.6017590083721593380 D2(613,659) = 0.02099087797473303340 C1(613,659) = 0.8503847075433691723 C2(613,659) = 1.391690800224618469 C3(613,659) = 4.859833248014566654 C4(613,659) = 5272 Sum = 4522.542992814938171 Averaged sum = 0.4518476364087259637 logp*logq = 41.65983234270684437 -------------- ************************************* p = 613; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.262066269730115850 E18 -------------- Searches starting with [613,661]-exponents: u = 1, v = 85 n_start has 243 digits starting right neighbors generation We generated 901 left neighbors We generated 9109 right neighbors We generated 10009 non-negative rho_i D1(613,661) = 0.7237938190490828689 D2(613,661) = 0.001402352490030164062 C1(613,661) = 1.025893438017914896 C2(613,661) = 1.383824820232471016 C3(613,661) = 6.734903857559726062 C4(613,661) = 5288 Sum = 3824.182340192112553 Averaged sum = 0.3820743670888313071 logp*logq = 41.67928194830519523 -------------- ************************************* p = 613; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.416552668371113637 E18 -------------- Searches starting with [613,673]-exponents: u = 1, v = 68 n_start has 196 digits starting right neighbors generation We generated 531 left neighbors We generated 9479 right neighbors We generated 10009 non-negative rho_i D1(613,673) = 0.6027079588795136781 D2(613,673) = 0.02219111325752444777 C1(613,673) = 0.8664560663004061170 C2(613,673) = 1.453878562435613694 C3(613,673) = 5.007232705209619909 C4(613,673) = 5384 Sum = 4440.356876241497717 Averaged sum = 0.4436364148507840661 logp*logq = 41.79475789553810716 -------------- ************************************* p = 613; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.471468803698802633 E18 -------------- Searches starting with [613,677]-exponents: u = 1, v = 64 n_start has 184 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(613,677) = 0.5440447785793883855 D2(613,677) = 0.01185115216691391531 C1(613,677) = 0.7854651828550499267 C2(613,677) = 1.460405580281597184 C3(613,677) = 4.307286492831770603 C4(613,677) = 5416 Sum = 4347.941040826436637 Averaged sum = 0.4344031412555137014 logp*logq = 41.83279276201887929 -------------- ************************************* p = 613; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.557207397636476921 E18 -------------- Searches starting with [613,683]-exponents: u = 1, v = 59 n_start has 171 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(613,683) = 0.5429693845187137336 D2(613,683) = 0.001944644423131230208 C1(613,683) = 0.7895274284716808131 C2(613,683) = 1.474010675581848263 C3(613,683) = 4.339939900461975814 C4(613,683) = 5464 Sum = 3991.366890606353593 Averaged sum = 0.3987777890504899184 logp*logq = 41.88942576123708698 -------------- ************************************* p = 613; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.678055558125012500 E18 -------------- Searches starting with [613,691]-exponents: u = 1, v = 53 n_start has 154 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(613,691) = 0.5895085522846960487 D2(613,691) = 0.008443903026582844000 C1(613,691) = 0.8231300412260301493 C2(613,691) = 1.507452541479010476 C3(613,691) = 4.619716077202075075 C4(613,691) = 5528 Sum = 4287.531418755471881 Averaged sum = 0.4283676110256241263 logp*logq = 41.96416739111857309 -------------- ************************************* p = 613; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.840164906486482122 E18 -------------- Searches starting with [613,701]-exponents: u = 1, v = 47 n_start has 137 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(613,701) = 0.6741846093164496867 D2(613,701) = 0.01556167957438434400 C1(613,701) = 0.9962496729843090585 C2(613,701) = 1.545764837939231051 C3(613,701) = 6.373768727806220831 C4(613,701) = 5608 Sum = 4373.166766985171991 Averaged sum = 0.4369234455974794675 logp*logq = 42.05638686458828675 -------------- ************************************* p = 613; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.979191607212311578 E18 -------------- Searches starting with [613,709]-exponents: u = 1, v = 44 n_start has 129 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(613,709) = 0.7199781410311060286 D2(613,709) = 0.03566353749813466501 C1(613,709) = 1.071618834832738075 C2(613,709) = 1.587294958521618263 C3(613,709) = 7.332485314204907218 C4(613,709) = 5672 Sum = 2828.219325027434398 Averaged sum = 0.2825676216432645018 logp*logq = 42.12922015604492566 -------------- ************************************* p = 613; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.165352179962281572 E18 -------------- Searches starting with [613,719]-exponents: u = 1, v = 40 n_start has 118 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(613,719) = 0.7475562808651776546 D2(613,719) = 0.006143679076756095372 C1(613,719) = 1.019754502666519080 C2(613,719) = 1.589633874568490974 C3(613,719) = 6.658473478039593538 C4(613,719) = 5752 Sum = 3694.480843106904525 Averaged sum = 0.3691158800186736462 logp*logq = 42.21911469184652636 -------------- ************************************* p = 613; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.324727888463690573 E18 -------------- Searches starting with [613,727]-exponents: u = 1, v = 37 n_start has 109 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(613,727) = 0.6031406093108298047 D2(613,727) = 0.02839103976113066467 C1(613,727) = 0.8390332509237013819 C2(613,727) = 1.630158764531601667 C3(613,727) = 4.758344975231491934 C4(613,727) = 5816 Sum = 4197.531316529958642 Averaged sum = 0.4193756935288199262 logp*logq = 42.29013466886283406 -------------- ************************************* p = 613; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.450659020533582833 E18 -------------- Searches starting with [613,733]-exponents: u = 1, v = 35 n_start has 104 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(613,733) = 0.7354369937832932139 D2(613,733) = 0.07173171062002365391 C1(613,733) = 1.114093495172274149 C2(613,733) = 1.683538156787516641 C3(613,733) = 7.934988090250241387 C4(613,733) = 5864 Sum = 4265.952092677088770 Averaged sum = 0.4262116188107791758 logp*logq = 42.34288865025157029 -------------- ************************************* p = 613; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.582301081099919589 E18 -------------- Searches starting with [613,739]-exponents: u = 1, v = 34 n_start has 101 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(613,739) = 1.059379298080816113 D2(613,739) = 0.02717749729919310696 C1(613,739) = 1.481719935456323684 C2(613,739) = 1.659077000811105500 C3(613,739) = 15.71726007914566813 C4(613,739) = 5912 Sum = 4579.984930563563886 Averaged sum = 0.4575866650578043647 logp*logq = 42.39521256722629543 -------------- ************************************* p = 613; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.673338381782485451 E18 -------------- Searches starting with [613,743]-exponents: u = 1, v = 33 n_start has 98 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(613,743) = 0.5861586124830662571 D2(613,743) = 0.01730178342602638880 C1(613,743) = 0.8212904750563572404 C2(613,743) = 1.660085208512421723 C3(613,743) = 4.603943385400105773 C4(613,743) = 5944 Sum = 4127.732358621404028 Averaged sum = 0.4124020739955444128 logp*logq = 42.42985969554866639 -------------- ************************************* p = 613; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.863561666560814685 E18 -------------- Searches starting with [613,751]-exponents: u = 1, v = 31 n_start has 92 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(613,751) = 0.5231355091973947071 D2(613,751) = 0.06804502302137350613 C1(613,751) = 0.7352622904045277616 C2(613,751) = 1.722952467908407087 C3(613,751) = 3.923455385708275471 C4(613,751) = 6008 Sum = 4160.057051898378160 Averaged sum = 0.4156316367167927026 logp*logq = 42.49859786189277879 -------------- ************************************* p = 613; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.013616882711869073 E18 -------------- Searches starting with [613,757]-exponents: u = 1, v = 30 n_start has 90 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(613,757) = 0.5636635805563956280 D2(613,757) = 0.07781808699719521026 C1(613,757) = 0.7709214692561747977 C2(613,757) = 1.744985549245494246 C3(613,757) = 4.192381634992720423 C4(613,757) = 6056 Sum = 3874.405049596549667 Averaged sum = 0.3870921220498101376 logp*logq = 42.54967265344692489 -------------- ************************************* p = 613; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.117297476405689539 E18 -------------- Searches starting with [613,761]-exponents: u = 1, v = 29 n_start has 87 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(613,761) = 0.7725099810947917054 D2(613,761) = 0.04679053116580199302 C1(613,761) = 1.090133447136876104 C2(613,761) = 1.726404890113602820 C3(613,761) = 7.589276079294783608 C4(613,761) = 6088 Sum = 4250.008118811845428 Averaged sum = 0.4246186550916021009 logp*logq = 42.58349810689217033 -------------- ************************************* p = 613; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.333714677020558235 E18 -------------- Searches starting with [613,769]-exponents: u = 1, v = 28 n_start has 84 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(613,769) = 0.6453003110212340349 D2(613,769) = 0.07261383546724645013 C1(613,769) = 0.9132539565725883498 C2(613,769) = 1.766048420581015226 C3(613,769) = 5.462400434416223225 C4(613,769) = 6152 Sum = 3979.805749006861127 Averaged sum = 0.3976227144576742059 logp*logq = 42.65061887478138949 -------------- ************************************* p = 613; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.446592927193128240 E18 -------------- Searches starting with [613,773]-exponents: u = 1, v = 27 n_start has 81 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(613,773) = 0.8040416152116531025 D2(613,773) = 0.02952206647826082983 C1(613,773) = 1.139634785062567627 C2(613,773) = 1.736701386342527556 C3(613,773) = 8.320873892532247707 C4(613,773) = 6184 Sum = 4275.373432862464335 Averaged sum = 0.4271529056711424053 logp*logq = 42.68391785964473746 -------------- ************************************* p = 613; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.867431921397732342 E18 -------------- Searches starting with [613,787]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(613,787) = 0.6651647391587821953 D2(613,787) = 0.008693975401439343032 C1(613,787) = 0.9473762882241338519 C2(613,787) = 1.746809069746250959 C3(613,787) = 5.820157500723482419 C4(613,787) = 6296 Sum = 4057.506007687984129 Averaged sum = 0.4053857535905669026 logp*logq = 42.79912237446160142 -------------- ************************************* p = 613; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.193902725743505450 E18 -------------- Searches starting with [613,797]-exponents: u = 1, v = 24 n_start has 73 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(613,797) = 0.6329790643432342007 D2(613,797) = 0.02037911587948887752 C1(613,797) = 0.9322831588866589770 C2(613,797) = 1.775848049889550257 C3(613,797) = 5.659110529866301900 C4(613,797) = 6376 Sum = 3755.269137172264494 Averaged sum = 0.3751892433981680981 logp*logq = 42.88016341243249674 -------------- ************************************* p = 613; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.616095940999285624 E18 -------------- Searches starting with [613,809]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(613,809) = 0.6487583759661295739 D2(613,809) = 0.04309054132643739666 C1(613,809) = 1.028311403371797822 C2(613,809) = 1.817299113331593744 C3(613,809) = 6.765248048583338929 C4(613,809) = 6472 Sum = 3676.575557814360127 Averaged sum = 0.3673269615160715483 logp*logq = 42.97608098732787968 -------------- ************************************* p = 613; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.689833759729126268 E18 -------------- Searches starting with [613,811]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(613,811) = 0.7806718295942799031 D2(613,811) = 0.06734400233234934167 C1(613,811) = 1.237365319489826320 C2(613,811) = 1.841919510394550933 C3(613,811) = 9.978814716421185574 C4(613,811) = 6488 Sum = 3777.204261583903611 Averaged sum = 0.3773807834532824069 logp*logq = 42.99192881003604365 -------------- ************************************* p = 613; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.073619933220817899 E18 -------------- Searches starting with [613,821]-exponents: u = 1, v = 21 n_start has 64 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(613,821) = 0.9396612013141202506 D2(613,821) = 0.05137074619588491548 C1(613,821) = 1.496824951530168265 C2(613,821) = 1.845457405644350168 C3(613,821) = 16.16489910630136232 C4(613,821) = 6568 Sum = 4239.616815174061067 Averaged sum = 0.4235804591042123156 logp*logq = 43.07058622749910058 -------------- ************************************* p = 613; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.153473848701419477 E18 -------------- Searches starting with [613,823]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(613,823) = 0.6025480398615042658 D2(613,823) = 0.07482666537696813653 C1(613,823) = 0.8390742910516966214 C2(613,823) = 1.869277160537286572 C3(613,823) = 4.758708052250897248 C4(613,823) = 6584 Sum = 4088.446153377718181 Averaged sum = 0.4084769860503265242 logp*logq = 43.08620269490127426 -------------- ************************************* p = 613; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.316368338539110866 E18 -------------- Searches starting with [613,827]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(613,827) = 0.6317057406086385335 D2(613,827) = 0.1270299150421633613 C1(613,827) = 0.8639822440604145989 C2(613,827) = 1.922205419562345469 C3(613,827) = 4.984256119316932075 C4(613,827) = 6616 Sum = 3727.496388200702013 Averaged sum = 0.3724144658008494367 logp*logq = 43.11732210100771467 -------------- ************************************* p = 613; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.399431831249761068 E18 -------------- Searches starting with [613,829]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(613,829) = 0.6525122418884428341 D2(613,829) = 0.004157999690217300473 C1(613,829) = 0.9227801449482918756 C2(613,829) = 1.818685892638811916 C3(613,829) = 5.560005369162888155 C4(613,829) = 6632 Sum = 4190.361971881279988 Averaged sum = 0.4186594037247757007 logp*logq = 43.13282540549218416 -------------- ************************************* p = 613; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.831378756687604662 E18 -------------- Searches starting with [613,839]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(613,839) = 0.6156140952853961223 D2(613,839) = 0.1134817927516206506 C1(613,839) = 0.9199125002476079985 C2(613,839) = 1.929814519130798083 C3(613,839) = 5.530441523567765756 C4(613,839) = 6712 Sum = 3549.047677409422104 Averaged sum = 0.3545856406643443005 logp*logq = 43.20978513972346626 -------------- ************************************* p = 613; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.484858297969435661 E18 -------------- Searches starting with [613,853]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(613,853) = 0.7730108002781404089 D2(613,853) = 0.1057296186340912232 C1(613,853) = 1.062593387805780579 C2(613,853) = 1.945041458096138918 C3(613,853) = 7.210474339381289812 C4(613,853) = 6824 Sum = 3987.020587063889180 Averaged sum = 0.3983435495118282725 logp*logq = 43.31600164068532608 -------------- ************************************* p = 613; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.682535356040016440 E18 -------------- Searches starting with [613,857]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(613,857) = 0.6037354100893310710 D2(613,857) = 0.1356056423117240547 C1(613,857) = 0.9784666754100139499 C2(613,857) = 1.435858106127954847 C3(613,857) = 6.166487774033790626 C4(613,857) = 6856 Sum = 3803.359574444535053 Averaged sum = 0.3799939628778634282 logp*logq = 43.34602913375001974 -------------- ************************************* p = 613; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.783265955075777874 E18 -------------- Searches starting with [613,859]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(613,859) = 1.001906462189643104 D2(613,859) = 0.004514422343775979580 C1(613,859) = 1.623706043705489711 C2(613,859) = 1.867064295688273632 C3(613,859) = 20.46538357397797092 C4(613,859) = 6872 Sum = 1556.655932068726802 Averaged sum = 0.1555256201487388152 logp*logq = 43.36099036415132318 -------------- ************************************* p = 613; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.988576809643706871 E18 -------------- Searches starting with [613,863]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(613,863) = 0.6286883068680667458 D2(613,863) = 0.03964493587575649772 C1(613,863) = 0.8961922888888327427 C2(613,863) = 1.902904162172655733 C3(613,863) = 5.291850020242853012 C4(613,863) = 6904 Sum = 3868.196798643703746 Averaged sum = 0.3864718551946951489 logp*logq = 43.39080860563790838 -------------- ************************************* p = 613; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.748995283135075085 E18 -------------- Searches starting with [613,877]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(613,877) = 0.7399831951572788531 D2(613,877) = 0.002163011178041452660 C1(613,877) = 1.207219801027962157 C2(613,877) = 1.892016425424442479 C3(613,877) = 9.434931067100577432 C4(613,877) = 7016 Sum = 3725.392443753354820 Averaged sum = 0.3722042605408487182 logp*logq = 43.49409486796817519 -------------- ************************************* p = 613; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.978662740005491104 E18 -------------- Searches starting with [613,881]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(613,881) = 0.5801604089354957146 D2(613,881) = 0.03463176351178021805 C1(613,881) = 0.8481213786498203122 C2(613,881) = 1.925185446462280082 C3(613,881) = 4.839426529021514311 C4(613,881) = 7048 Sum = 3597.105107015471381 Averaged sum = 0.3593870623454362455 logp*logq = 43.52330249487162456 -------------- ************************************* p = 613; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.095634313323416634 E18 -------------- Searches starting with [613,883]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(613,883) = 0.5772200466625936597 D2(613,883) = 0.05184952775003734577 C1(613,883) = 0.8139818403090957724 C2(613,883) = 1.942752146623633027 C3(613,883) = 4.541808349940026616 C4(613,883) = 7064 Sum = 3963.304012196283299 Averaged sum = 0.3959740245974905883 logp*logq = 43.53785661660892415 -------------- ************************************* p = 613; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.333925145458873946 E18 -------------- Searches starting with [613,887]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(613,887) = 0.6602078015884439854 D2(613,887) = 0.08871067858216627411 C1(613,887) = 0.9061652734790779260 C2(613,887) = 1.980308790524848786 C3(613,887) = 5.390883644598108778 C4(613,887) = 7096 Sum = 3868.832023896317965 Averaged sum = 0.3865353206010908147 logp*logq = 43.56686622502635817 -------------- ************************************* p = 613; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.616187118257141721 E18 -------------- Searches starting with [613,907]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(613,907) = 0.5468277512833385346 D2(613,907) = 0.07132678737831539701 C1(613,907) = 0.7528573532100552047 C2(613,907) = 1.992791096698875641 C3(613,907) = 4.053922124533167012 C4(613,907) = 7256 Sum = 4058.012510360294568 Averaged sum = 0.4054363583135472642 logp*logq = 43.70997951054971248 -------------- ************************************* p = 613; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.891655394980759835 E18 -------------- Searches starting with [613,911]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(613,911) = 1.039611172260947161 D2(613,911) = 0.1071335571395951263 C1(613,911) = 1.473526182451749129 C2(613,911) = 2.029280641177703981 C3(613,911) = 15.47964524448152568 C4(613,911) = 7288 Sum = 5009.427232207517420 Averaged sum = 0.5004922801686000020 logp*logq = 43.73822318620647681 -------------- ************************************* p = 613; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.046261807918040949 E19 -------------- Searches starting with [613,919]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(613,919) = 0.6071768977349038165 D2(613,919) = 0.1313538187854769407 C1(613,919) = 0.8437972480417685337 C2(613,919) = 1.814487408850771977 C3(613,919) = 4.800677062219098903 C4(613,919) = 7352 Sum = 4078.420280560056240 Averaged sum = 0.4074753002857484504 logp*logq = 43.79434039558789961 -------------- ************************************* p = 613; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.121522492707672504 E19 -------------- Searches starting with [613,929]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(613,929) = 0.5496500380774910297 D2(613,929) = 0.04394136492994376159 C1(613,929) = 0.8419100194878079900 C2(613,929) = 1.998245844747819299 C3(613,929) = 4.783862603999273643 C4(613,929) = 7432 Sum = 3902.699240384235346 Averaged sum = 0.3899189969411764758 logp*logq = 43.86380389757798514 -------------- ************************************* p = 613; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.184975002643669965 E19 -------------- Searches starting with [613,937]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(613,937) = 0.8072731507046204464 D2(613,937) = 0.09512813192702158448 C1(613,937) = 1.116102836642455999 C2(613,937) = 1.426239415998261395 C3(613,937) = 7.964686215653927023 C4(613,937) = 7496 Sum = 4200.066412003904195 Averaged sum = 0.4196289751227799176 logp*logq = 43.91883844643599537 -------------- ************************************* p = 613; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.217820759264091636 E19 -------------- Searches starting with [613,941]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(613,941) = 0.9865953210274155695 D2(613,941) = 0.08452179400145066101 C1(613,941) = 1.648158249242872090 C2(613,941) = 1.236014536190195438 C3(613,941) = 21.41722486145340861 C4(613,941) = 7528 Sum = 3688.901233905080148 Averaged sum = 0.3685584208117774151 logp*logq = 43.94617976546379731 -------------- ************************************* p = 613; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.268528831106283539 E19 -------------- Searches starting with [613,947]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(613,947) = 0.7311184911366221870 D2(613,947) = 0.1162741917302645933 C1(613,947) = 1.059198277886610289 C2(613,947) = 1.826758781967149586 C3(613,947) = 7.165104701762059357 C4(613,947) = 7576 Sum = 3767.340667572685759 Averaged sum = 0.3763953109773889258 logp*logq = 43.98697459518895877 -------------- ************************************* p = 613; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.321007898563362543 E19 -------------- Searches starting with [613,953]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(613,953) = 0.8861691181615806508 D2(613,953) = 0.004940699828312049816 C1(613,953) = 1.206597276148256018 C2(613,953) = 1.995555568504815467 C3(613,953) = 9.424017625982818841 C4(613,953) = 7624 Sum = 3813.697798025124600 Averaged sum = 0.3810268556324432611 logp*logq = 44.02751177163958387 -------------- ************************************* p = 613; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.450629817460297775 E19 -------------- Searches starting with [613,967]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(613,967) = 0.7196910334954781493 D2(613,967) = 0.07704459701246297852 C1(613,967) = 1.213851597302346167 C2(613,967) = 1.333409127102366410 C3(613,967) = 9.551980026648855635 C4(613,967) = 7736 Sum = 3754.283554168026648 Averaged sum = 0.3750907737204542559 logp*logq = 44.12111458588288423 -------------- ************************************* p = 613; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.489577697243373650 E19 -------------- Searches starting with [613,971]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(613,971) = 0.8425444598991014335 D2(613,971) = 0.07796647367634533875 C1(613,971) = 1.420978280694671115 C2(613,971) = 1.249554736155462186 C3(613,971) = 14.03888269154580353 C4(613,971) = 7768 Sum = 3521.869603869651286 Averaged sum = 0.3518702771375413413 logp*logq = 44.14760942200299682 -------------- ************************************* p = 613; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.549652887812630531 E19 -------------- Searches starting with [613,977]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(613,977) = 0.5533062970335093638 D2(613,977) = 0.1012015363782775837 C1(613,977) = 0.8055936952479296628 C2(613,977) = 1.841692789085254754 C3(613,977) = 4.471528584584051713 C4(613,977) = 7816 Sum = 3784.863622372510142 Averaged sum = 0.3781460308095224440 logp*logq = 44.18714772939227775 -------------- ************************************* p = 613; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.611760721234487462 E19 -------------- Searches starting with [613,983]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(613,983) = 0.6282277556913152221 D2(613,983) = 0.09801898195362556143 C1(613,983) = 0.9004545574516085549 C2(613,983) = 1.839554996415743008 C3(613,983) = 5.333950569882056070 C4(613,983) = 7864 Sum = 3903.307690093253378 Averaged sum = 0.3899797872008445777 logp*logq = 44.22644396399484265 -------------- ************************************* p = 613; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.697829555506178477 E19 -------------- Searches starting with [613,991]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(613,991) = 0.6739383909723488559 D2(613,991) = 0.01800986663682069943 C1(613,991) = 0.9214323310932835233 C2(613,991) = 2.050995512601546975 C3(613,991) = 5.546090514524189306 C4(613,991) = 7928 Sum = 3729.649035144375804 Averaged sum = 0.3726295369311995008 logp*logq = 44.27846747017710382 -------------- ************************************* p = 613; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.764899002581818856 E19 -------------- Searches starting with [613,997]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(613,997) = 0.7574470524952337559 D2(613,997) = 0.05361231403855919269 C1(613,997) = 1.087806797976229293 C2(613,997) = 2.087561980816713001 C3(613,997) = 7.556518646737142854 C4(613,997) = 7976 Sum = 3737.969822680494267 Averaged sum = 0.3734608674873108470 logp*logq = 44.31721023330162081 -------------- ************************************* p = 617; q = 619; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 863469049586005079.6 -------------- Searches starting with [617,619]-exponents: u = 1, v = 1985 n_start has 5545 digits --- performed 5000 steps in the continued fraction search [617,619]-exponents: u = 1031, v = 953 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(617,619) = 0.7399908415085293723 D2(617,619) = 0.4519445246363164489 C1(617,619) = 0.9212570438626957812 C2(617,619) = 1.352020024752573068 C3(617,619) = 5.549459128619331583 C4(617,619) = 4952 Sum = 6062.336977633211698 Averaged sum = 0.6062943271960407739 logp*logq = 41.29973444887415773 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(617,619) = 0.7399908415085293723 D2(617,619) = 0.4519445246363164489 C1(617,619) = 0.9212570438626957812 C2(617,619) = 1.352020024752573068 C3(617,619) = 5.549459128619331583 C4(617,619) = 4952 Sum = 6062.336977633211698 Averaged sum = 0.6062943271960407739 logp*logq = 41.29973444887415773 -------------- ************************************* p = 617; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 976836539037539784.0 -------------- Searches starting with [617,631]-exponents: u = 1, v = 286 n_start has 804 digits --- performed 5000 steps in the continued fraction search [617,631]-exponents: u = 5, v = 264 --- starting right neighbors generation We generated 8719 left neighbors We generated 1291 right neighbors We generated 10009 non-negative rho_i D1(617,631) = 0.6426802021002656848 D2(617,631) = 0.003288789984812548292 C1(617,631) = 0.8539184935969551605 C2(617,631) = 1.154177140018396358 C3(617,631) = 4.896099643949228280 C4(617,631) = 5048 Sum = 5059.430278051219186 Averaged sum = 0.5054880885254490144 logp*logq = 41.42309572388464864 -------------- ************************************* p = 617; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.080675257805730476 E18 -------------- Searches starting with [617,641]-exponents: u = 1, v = 168 n_start has 475 digits starting right neighbors generation We generated 3058 left neighbors We generated 6952 right neighbors We generated 10009 non-negative rho_i D1(617,641) = 0.6105424811593158977 D2(617,641) = 0.009002397468706163919 C1(617,641) = 0.8319346607623758194 C2(617,641) = 1.250031293096528867 C3(617,641) = 4.699918149195789696 C4(617,641) = 5128 Sum = 4606.936674553194246 Averaged sum = 0.4602794159809365816 logp*logq = 41.52411775835767402 -------------- ************************************* p = 617; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.102523087266283950 E18 -------------- Searches starting with [617,643]-exponents: u = 1, v = 155 n_start has 439 digits starting right neighbors generation We generated 2672 left neighbors We generated 7338 right neighbors We generated 10009 non-negative rho_i D1(617,643) = 0.6147185674238946866 D2(617,643) = 0.001651589304623043252 C1(617,643) = 0.8408715118454419384 C2(617,643) = 1.258160694039492944 C3(617,643) = 4.778703195061824096 C4(617,643) = 5144 Sum = 4723.401393282504186 Averaged sum = 0.4719154154543415112 logp*logq = 41.54413294284352673 -------------- ************************************* p = 617; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.147339226641732884 E18 -------------- Searches starting with [617,647]-exponents: u = 1, v = 135 n_start has 383 digits starting right neighbors generation We generated 2071 left neighbors We generated 7939 right neighbors We generated 10009 non-negative rho_i D1(617,647) = 0.6146968952985991943 D2(617,647) = 0.003936135454209265819 C1(617,647) = 0.8474526457952056239 C2(617,647) = 1.287346806061869706 C3(617,647) = 4.837563963178246104 C4(617,647) = 5176 Sum = 4382.677951488312316 Averaged sum = 0.4378737088109014203 logp*logq = 41.58397721952765475 -------------- ************************************* p = 617; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.217442625537406529 E18 -------------- Searches starting with [617,653]-exponents: u = 1, v = 113 n_start has 321 digits starting right neighbors generation We generated 1416 left neighbors We generated 8594 right neighbors We generated 10009 non-negative rho_i D1(617,653) = 0.6177325676320700279 D2(617,653) = 0.01661859185726784712 C1(617,653) = 0.8603526865716977291 C2(617,653) = 1.334928131233885417 C3(617,653) = 4.955051840786154224 C4(617,653) = 5224 Sum = 4176.568592180724421 Averaged sum = 0.4172813060426340714 logp*logq = 41.64328412394174928 -------------- ************************************* p = 617; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.291128840226389301 E18 -------------- Searches starting with [617,659]-exponents: u = 1, v = 97 n_start has 277 digits starting right neighbors generation We generated 1033 left neighbors We generated 8977 right neighbors We generated 10009 non-negative rho_i D1(617,659) = 0.5468961571808637382 D2(617,659) = 0.02067737436415675965 C1(617,659) = 0.7682882586607114392 C2(617,659) = 1.370796388050303561 C3(617,659) = 4.175155354287777191 C4(617,659) = 5272 Sum = 4500.234690558076617 Averaged sum = 0.4496188121248952560 logp*logq = 41.70204857955885234 -------------- ************************************* p = 617; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.316512534038464941 E18 -------------- Searches starting with [617,661]-exponents: u = 1, v = 93 n_start has 266 digits starting right neighbors generation We generated 989 left neighbors We generated 9021 right neighbors We generated 10009 non-negative rho_i D1(617,661) = 0.6209635797190321298 D2(617,661) = 0.01783021692901689703 C1(617,661) = 0.8752084786002272110 C2(617,661) = 1.378296934091718043 C3(617,661) = 5.093891218399237718 C4(617,661) = 5288 Sum = 3931.764120818959935 Averaged sum = 0.3928228714975482001 logp*logq = 41.72151789452976772 -------------- ************************************* p = 617; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.477836488410896744 E18 -------------- Searches starting with [617,673]-exponents: u = 1, v = 73 n_start has 210 digits starting right neighbors generation We generated 638 left neighbors We generated 9372 right neighbors We generated 10009 non-negative rho_i D1(617,673) = 0.8943650340347316825 D2(617,673) = 0.0006981638938014722267 C1(617,673) = 1.279699410665246053 C2(617,673) = 1.417622997414026411 C3(617,673) = 10.80994392922558674 C4(617,673) = 5384 Sum = 5220.603342713520313 Averaged sum = 0.5215909024591388063 logp*logq = 41.83711085999499014 -------------- ************************************* p = 617; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.535187610568264164 E18 -------------- Searches starting with [617,677]-exponents: u = 1, v = 69 n_start has 199 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(617,677) = 0.6267013209578648501 D2(617,677) = 0.007419774245947312525 C1(617,677) = 0.9011015427313277978 C2(617,677) = 1.439877618719125543 C3(617,677) = 5.345246623001123997 C4(617,677) = 5416 Sum = 3516.384211695851057 Averaged sum = 0.3513222311615397199 logp*logq = 41.87518426933207475 -------------- ************************************* p = 617; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.624732170495841720 E18 -------------- Searches starting with [617,683]-exponents: u = 1, v = 63 n_start has 182 digits starting right neighbors generation We generated 491 left neighbors We generated 9519 right neighbors We generated 10009 non-negative rho_i D1(617,683) = 0.6289423786340741100 D2(617,683) = 0.02126385703832913670 C1(617,683) = 0.9102580594326007328 C2(617,683) = 1.475234264247468904 C3(617,683) = 5.437070578071841959 C4(617,683) = 5464 Sum = 3379.033171393594959 Averaged sum = 0.3375994776095109360 logp*logq = 41.93187465793411307 -------------- ************************************* p = 617; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.750953249783141138 E18 -------------- Searches starting with [617,691]-exponents: u = 1, v = 56 n_start has 162 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(617,691) = 0.5809919088421905275 D2(617,691) = 0.01588908638191904588 C1(617,691) = 0.8471567939712862643 C2(617,691) = 1.499254869023777300 C3(617,691) = 4.834902407432007364 C4(617,691) = 5528 Sum = 4268.686678173963927 Averaged sum = 0.4264848314690742259 logp*logq = 42.00669202768713359 -------------- ************************************* p = 617; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.920284358408933349 E18 -------------- Searches starting with [617,701]-exponents: u = 1, v = 50 n_start has 146 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(617,701) = 0.9826212391742048147 D2(617,701) = 0.004255757009584046680 C1(617,701) = 1.345509129741968361 C2(617,701) = 1.522225284532052529 C3(617,701) = 12.21768046198038196 C4(617,701) = 5608 Sum = 4060.285771035427204 Averaged sum = 0.4056634799715683089 logp*logq = 42.09900495230428199 -------------- ************************************* p = 617; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.065516623332655778 E18 -------------- Searches starting with [617,709]-exponents: u = 1, v = 46 n_start has 134 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(617,709) = 0.6102880721918888569 D2(617,709) = 0.03985104832109153525 C1(617,709) = 0.8268653643336194386 C2(617,709) = 1.578010140892681292 C3(617,709) = 4.655807237553710483 C4(617,709) = 5672 Sum = 3401.488142083566604 Averaged sum = 0.3398429555483631336 logp*logq = 42.17191204980645539 -------------- ************************************* p = 617; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.260002697513141825 E18 -------------- Searches starting with [617,719]-exponents: u = 1, v = 41 n_start has 120 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(617,719) = 1.266471263857988355 D2(617,719) = 0.03102545496000701597 C1(617,719) = 1.892829789801205142 C2(617,719) = 1.599009342257871807 C3(617,719) = 33.81812871352405685 C4(617,719) = 5752 Sum = 6379.646452270676900 Averaged sum = 0.6373909933330679288 logp*logq = 42.26189768076619026 -------------- ************************************* p = 617; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.426519563830215434 E18 -------------- Searches starting with [617,727]-exponents: u = 1, v = 39 n_start has 115 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(617,727) = 0.7419927016024166664 D2(617,727) = 0.003801879659929999883 C1(617,727) = 0.9936405227271453975 C2(617,727) = 1.597035597323297546 C3(617,727) = 6.349312228932911991 C4(617,727) = 5816 Sum = 2973.734080820200264 Averaged sum = 0.2971060126706164716 logp*logq = 42.33298962629514776 -------------- ************************************* p = 617; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.558101526969526368 E18 -------------- Searches starting with [617,733]-exponents: u = 1, v = 37 n_start has 109 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(617,733) = 0.5878709308770540654 D2(617,733) = 0.04978187374391942908 C1(617,733) = 0.8183365121059108826 C2(617,733) = 1.652699123591284404 C3(617,733) = 4.582524927303395737 C4(617,733) = 5864 Sum = 3928.010070420717791 Averaged sum = 0.3924478040184551695 logp*logq = 42.38579706624211516 -------------- ************************************* p = 617; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.695658004501774305 E18 -------------- Searches starting with [617,739]-exponents: u = 1, v = 35 n_start has 104 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(617,739) = 0.5256998368514928742 D2(617,739) = 0.01603546851800935917 C1(617,739) = 0.7337412012464038962 C2(617,739) = 1.638257258318385444 C3(617,739) = 3.915284330278923442 C4(617,739) = 5912 Sum = 4180.687491699096934 Averaged sum = 0.4176928256268455324 logp*logq = 42.43817400596676061 -------------- ************************************* p = 617; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.790789610387880641 E18 -------------- Searches starting with [617,743]-exponents: u = 1, v = 34 n_start has 101 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(617,743) = 0.5836234895033106041 D2(617,743) = 0.01102691320924295489 C1(617,743) = 0.8383125663246081132 C2(617,743) = 1.643690132616996271 C3(617,743) = 4.756010192556625984 C4(617,743) = 5944 Sum = 4093.715821794989538 Averaged sum = 0.4090034790483554339 logp*logq = 42.47285624416099728 -------------- ************************************* p = 617; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.989578455972157877 E18 -------------- Searches starting with [617,751]-exponents: u = 1, v = 32 n_start has 95 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(617,751) = 0.6579533227354264075 D2(617,751) = 0.06825910234282269340 C1(617,751) = 0.9231500528465253155 C2(617,751) = 1.712563905903524985 C3(617,751) = 5.569035053861488113 C4(617,751) = 6008 Sum = 4143.544768187225794 Averaged sum = 0.4139818931149191522 logp*logq = 42.54166406673145461 -------------- ************************************* p = 617; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.146399997478546074 E18 -------------- Searches starting with [617,757]-exponents: u = 1, v = 31 n_start has 93 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(617,757) = 0.5709921874822354292 D2(617,757) = 0.08494265650433067121 C1(617,757) = 0.7797646203829269283 C2(617,757) = 1.740985326872172072 C3(617,757) = 4.265245000286918283 C4(617,757) = 6056 Sum = 3880.993141455115097 Averaged sum = 0.3877503388405550102 logp*logq = 42.59279061522690762 -------------- ************************************* p = 617; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.254760428908605976 E18 -------------- Searches starting with [617,761]-exponents: u = 1, v = 30 n_start has 90 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(617,761) = 0.5815214440308365555 D2(617,761) = 0.05872297662114805081 C1(617,761) = 0.8190624232895104582 C2(617,761) = 1.726645589989551641 C3(617,761) = 4.588716994622442527 C4(617,761) = 6088 Sum = 4172.970563634191038 Averaged sum = 0.4169218267193716693 logp*logq = 42.62665034589493504 -------------- ************************************* p = 617; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.480957700147918612 E18 -------------- Searches starting with [617,769]-exponents: u = 1, v = 29 n_start has 87 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(617,769) = 0.6464811904397094955 D2(617,769) = 0.09390445733223693657 C1(617,769) = 0.8778117095836796338 C2(617,769) = 1.775024151627208887 C3(617,769) = 5.118618046965694627 C4(617,769) = 6152 Sum = 3737.138465994690015 Averaged sum = 0.3733778065735528040 logp*logq = 42.69383913101023398 -------------- ************************************* p = 617; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.598942980078866816 E18 -------------- Searches starting with [617,773]-exponents: u = 1, v = 28 n_start has 84 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(617,773) = 1.110649716963734899 D2(617,773) = 0.05375738353917623179 C1(617,773) = 1.617329563652129030 C2(617,773) = 1.747942337126456625 C3(617,773) = 20.25735697435137756 C4(617,773) = 6184 Sum = 5050.506170045910992 Averaged sum = 0.5045964801724359068 logp*logq = 42.72717185959632088 -------------- ************************************* p = 617; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.038855839005241782 E18 -------------- Searches starting with [617,787]-exponents: u = 1, v = 26 n_start has 79 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(617,787) = 1.029854059316682582 D2(617,787) = 0.04553802413812589199 C1(617,787) = 1.419227615092711370 C2(617,787) = 1.769078229554706905 C3(617,787) = 14.01339273277344189 C4(617,787) = 6296 Sum = 4029.948659966337896 Averaged sum = 0.4026324967495591863 logp*logq = 42.84249311758785537 -------------- ************************************* p = 617; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.380157160248065484 E18 -------------- Searches starting with [617,797]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(617,797) = 0.7535797290989539220 D2(617,797) = 0.06768805575026459565 C1(617,797) = 1.005495619115499820 C2(617,797) = 1.807657939945178779 C3(617,797) = 6.490886170077520441 C4(617,797) = 6376 Sum = 3099.677011317091620 Averaged sum = 0.3096889810487652733 logp*logq = 42.92361627897263213 -------------- ************************************* p = 617; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.821568926955747357 E18 -------------- Searches starting with [617,809]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(617,809) = 0.5248965133893938780 D2(617,809) = 0.1053191725684231609 C1(617,809) = 0.7517561021561333881 C2(617,809) = 1.862995779764090100 C3(617,809) = 4.048712152070815096 C4(617,809) = 6472 Sum = 3851.072218342797213 Averaged sum = 0.3847609369909878323 logp*logq = 43.01963105250834428 -------------- ************************************* p = 617; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.898667654059641330 E18 -------------- Searches starting with [617,811]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(617,811) = 1.915843662430711179 D2(617,811) = 0.003924041222839309807 C1(617,811) = 2.831560884030041008 C2(617,811) = 1.778499549285040901 C3(617,811) = 193.8728037543094719 C4(617,811) = 6488 Sum = 6937.615626290857805 Averaged sum = 0.6931377386642879213 logp*logq = 43.03549493470113442 -------------- ************************************* p = 617; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.299965898167452709 E18 -------------- Searches starting with [617,821]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(617,821) = 0.9384297154052000902 D2(617,821) = 0.1278003915586360489 C1(617,821) = 1.391826531569081067 C2(617,821) = 1.904197023475981749 C3(617,821) = 13.31701647219056565 C4(617,821) = 6568 Sum = 4372.504940811972680 Averaged sum = 0.4368573224909554081 logp*logq = 43.11423206012217042 -------------- ************************************* p = 617; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.383467475129842843 E18 -------------- Searches starting with [617,823]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(617,823) = 0.5876318078538439494 D2(617,823) = 0.01244397907909314993 C1(617,823) = 0.8449226055622529614 C2(617,823) = 1.806894474239411585 C3(617,823) = 4.814850326318488628 C4(617,823) = 6584 Sum = 3754.334335820296761 Averaged sum = 0.3750958473194421781 logp*logq = 43.12986435256370620 -------------- ************************************* p = 617; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.553806895922630814 E18 -------------- Searches starting with [617,827]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(617,827) = 0.7839716222348784258 D2(617,827) = 0.05560429767411636210 C1(617,827) = 1.249073863908621187 C2(617,827) = 1.850779802194298469 C3(617,827) = 10.21132634424127862 C4(617,827) = 6616 Sum = 3715.121265531356377 Averaged sum = 0.3711780662934715133 logp*logq = 43.16101529370389509 -------------- ************************************* p = 617; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.640668769656475889 E18 -------------- Searches starting with [617,829]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(617,829) = 0.8692068735136730837 D2(617,829) = 0.07917085436897264786 C1(617,829) = 1.227648625888178494 C2(617,829) = 1.874707541133019028 C3(617,829) = 9.812359959037688265 C4(617,829) = 6632 Sum = 4229.905221245344617 Averaged sum = 0.4226101729688624854 logp*logq = 43.17653430855341650 -------------- ************************************* p = 617; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.092389421978098776 E18 -------------- Searches starting with [617,839]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(617,839) = 0.7099794424264967039 D2(617,839) = 0.04711548577294549911 C1(617,839) = 1.137242061204024378 C2(617,839) = 1.863448212152122932 C3(617,839) = 8.293488321248159437 C4(617,839) = 6712 Sum = 3701.435848950044339 Averaged sum = 0.3698107552153106543 logp*logq = 43.25357203038536027 -------------- ************************************* p = 617; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.775847780377155449 E18 -------------- Searches starting with [617,853]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(617,853) = 0.7585216049815902719 D2(617,853) = 0.04319905706145043606 C1(617,853) = 1.050753265780611091 C2(617,853) = 1.882510896523498131 C3(617,853) = 7.060997034562628816 C4(617,853) = 6824 Sum = 4042.514972328758483 Averaged sum = 0.4038879980346446681 logp*logq = 43.35989616646503117 -------------- ************************************* p = 617; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.982607498767631301 E18 -------------- Searches starting with [617,857]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(617,857) = 0.7691511394103204890 D2(617,857) = 0.08456690234552949551 C1(617,857) = 1.043223774769378448 C2(617,857) = 1.924587797208882890 C3(617,857) = 6.962788803451369553 C4(617,857) = 6856 Sum = 3565.484280283752484 Averaged sum = 0.3562278229876863307 logp*logq = 43.38995408806695136 -------------- ************************************* p = 617; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.087968758459483253 E18 -------------- Searches starting with [617,859]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(617,859) = 0.5545513435771161199 D2(617,859) = 0.1071461013709440950 C1(617,859) = 0.7775953453635682194 C2(617,859) = 1.947520276119367964 C3(617,859) = 4.248068418309259004 C4(617,859) = 6872 Sum = 3955.630211971101998 Averaged sum = 0.3952073345959738233 logp*logq = 43.40493047951933689 -------------- ************************************* p = 617; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.302722790436272792 E18 -------------- Searches starting with [617,863]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(617,863) = 0.6620242167017874533 D2(617,863) = 0.1353411624748607480 C1(617,863) = 0.9108713542932422906 C2(617,863) = 1.436426147373181828 C3(617,863) = 5.443276926350554816 C4(617,863) = 6904 Sum = 3982.125706404070766 Averaged sum = 0.3978545015889769972 logp*logq = 43.43477893749682759 -------------- ************************************* p = 617; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.098170659596945797 E18 -------------- Searches starting with [617,877]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(617,877) = 0.5633147411002566280 D2(617,877) = 0.1207834438240590520 C1(617,877) = 0.8045500591597905656 C2(617,877) = 1.986499615554086111 C3(617,877) = 4.466499124364153134 C4(617,877) = 7016 Sum = 4069.028738779450291 Averaged sum = 0.4065369905864172535 logp*logq = 43.53816986557030295 -------------- ************************************* p = 617; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.338433894488925589 E18 -------------- Searches starting with [617,881]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(617,881) = 0.8950422482573332442 D2(617,881) = 0.1050817508678000712 C1(617,881) = 1.460514570792201186 C2(617,881) = 1.201859837148591887 C3(617,881) = 15.13204242367250692 C4(617,881) = 7048 Sum = 1774.443892486179656 Averaged sum = 0.1772848328990088576 logp*logq = 43.56740709019476804 -------------- ************************************* p = 617; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.460804693623676162 E18 -------------- Searches starting with [617,883]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(617,883) = 0.7881235830566087708 D2(617,883) = 0.001529063915094448702 C1(617,883) = 1.054419856902923704 C2(617,883) = 1.892431682788690130 C3(617,883) = 7.109321215472838085 C4(617,883) = 7064 Sum = 3648.868053941894130 Averaged sum = 0.3645587025618837177 logp*logq = 43.58197596043718356 -------------- ************************************* p = 617; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.710100175637846949 E18 -------------- Searches starting with [617,887]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(617,887) = 0.5575729406654875022 D2(617,887) = 0.03371004803898911429 C1(617,887) = 0.8152424396713693018 C2(617,887) = 1.925308159981671626 C3(617,887) = 4.556225868213270248 C4(617,887) = 7096 Sum = 3834.478415189649618 Averaged sum = 0.3831030487750674012 logp*logq = 43.61101496591243239 -------------- ************************************* p = 617; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.005169826915856926 E19 -------------- Searches starting with [617,907]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(617,907) = 0.7735689262970134954 D2(617,907) = 0.02099142490392445734 C1(617,907) = 1.136007309158295026 C2(617,907) = 1.942455734224484701 C3(617,907) = 8.274461228933239503 C4(617,907) = 7256 Sum = 3828.334688422224191 Averaged sum = 0.3824892285365395335 logp*logq = 43.75427327612788393 -------------- ************************************* p = 617; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.033993826735338427 E19 -------------- Searches starting with [617,911]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(617,911) = 0.8589627664594038477 D2(617,911) = 0.05214765771634646092 C1(617,911) = 1.308376468306742176 C2(617,911) = 1.974294741754455316 C3(617,911) = 11.40225138835769776 C4(617,911) = 7288 Sum = 3753.380041788859564 Averaged sum = 0.3750005037255329767 logp*logq = 43.78254557267998189 -------------- ************************************* p = 617; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.093739853536133079 E19 -------------- Searches starting with [617,919]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(617,919) = 0.8495225994989285926 D2(617,919) = 0.1056096099616216791 C1(617,919) = 1.170715492589055720 C2(617,919) = 1.421620689376181008 C3(617,919) = 8.826311019083614106 C4(617,919) = 7352 Sum = 4175.764055324245915 Averaged sum = 0.4172009247001944165 logp*logq = 43.83871964876656162 -------------- ************************************* p = 617; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.172498304309427859 E19 -------------- Searches starting with [617,929]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(617,929) = 0.8944350428973195967 D2(617,929) = 0.1288809247489291308 C1(617,929) = 1.219524693382193143 C2(617,929) = 1.813650188925002082 C3(617,929) = 9.665190908742631143 C4(617,929) = 7432 Sum = 3620.704094757692452 Averaged sum = 0.3617448391205607405 logp*logq = 43.90825354200614763 -------------- ************************************* p = 617; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.238903969965349841 E19 -------------- Searches starting with [617,937]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(617,937) = 0.7200698650872853417 D2(617,937) = 0.05503305279413032238 C1(617,937) = 0.9948196474714565264 C2(617,937) = 2.010679873007612423 C3(617,937) = 6.363253966544157638 C4(617,937) = 7496 Sum = 4051.031564017343524 Averaged sum = 0.4047388913994748251 logp*logq = 43.96334386044888688 -------------- ************************************* p = 617; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.273279835518101053 E19 -------------- Searches starting with [617,941]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(617,941) = 1.170157584080275329 D2(617,941) = 0.08612961190669743455 C1(617,941) = 1.606929485689128443 C2(617,941) = 2.042443286731493490 C3(617,941) = 19.86922509324075962 C4(617,941) = 7528 Sum = 4061.964579273807051 Averaged sum = 0.4058312098385260317 logp*logq = 43.99071288596360956 -------------- ************************************* p = 617; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.326351962752976167 E19 -------------- Searches starting with [617,947]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(617,947) = 1.391882529901919570 D2(617,947) = 0.08130115825735667979 C1(617,947) = 2.325719848595800377 C2(617,947) = 1.233475764276770591 C3(617,947) = 75.65993917830241959 C4(617,947) = 7576 Sum = 4979.104643825205810 Averaged sum = 0.4974627479094021191 logp*logq = 44.03154905537011797 -------------- ************************************* p = 617; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.381279914382302397 E19 -------------- Searches starting with [617,953]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(617,953) = 0.8720030542697770649 D2(617,953) = 0.1163548450699663467 C1(617,953) = 1.199310744408950112 C2(617,953) = 1.827731347912670419 C3(617,953) = 9.308512995790216537 C4(617,953) = 7624 Sum = 4047.274230798269724 Averaged sum = 0.4043634959334868342 logp*logq = 44.07212731040762440 -------------- ************************************* p = 617; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.516959815750827281 E19 -------------- Searches starting with [617,967]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(617,967) = 0.7567065616966703973 D2(617,967) = 0.05177709617769097978 C1(617,967) = 1.036524659572581638 C2(617,967) = 2.044697029957619251 C3(617,967) = 6.876560153939287065 C4(617,967) = 7736 Sum = 3901.878312567171746 Averaged sum = 0.3898369779765382901 logp*logq = 44.16582497761489261 -------------- ************************************* p = 617; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.557730408464104328 E19 -------------- Searches starting with [617,971]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(617,971) = 0.8211361138820063234 D2(617,971) = 0.07976062540673989217 C1(617,971) = 1.159754724965118606 C2(617,971) = 2.073332988946282830 C3(617,971) = 8.648173906880283854 C4(617,971) = 7768 Sum = 4499.688930027525199 Averaged sum = 0.4495642851461210109 logp*logq = 44.19234666243347813 -------------- ************************************* p = 617; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.620619152798992248 E19 -------------- Searches starting with [617,977]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(617,977) = 1.011935599351456851 D2(617,977) = 0.07234021224825854986 C1(617,977) = 1.707040351400974460 C2(617,977) = 1.218975441299449495 C3(617,977) = 23.93629464112744898 C4(617,977) = 7816 Sum = 3631.015898630474668 Averaged sum = 0.3627750922799954709 logp*logq = 44.23192503619978482 -------------- ************************************* p = 617; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.685638333472507967 E19 -------------- Searches starting with [617,983]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(617,983) = 0.7203582700152847592 D2(617,983) = 0.1013817140592434353 C1(617,983) = 1.031690304473528589 C2(617,983) = 1.842739357418682725 C3(617,983) = 6.814998171025273553 C4(617,983) = 7864 Sum = 4349.134394066690111 Averaged sum = 0.4345223692743221212 logp*logq = 44.27126109187348911 -------------- ************************************* p = 617; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.775745881330176131 E19 -------------- Searches starting with [617,991]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(617,991) = 0.6257544802074320473 D2(617,991) = 0.09717351560706659776 C1(617,991) = 0.8645176939987980941 C2(617,991) = 1.839914105364049890 C3(617,991) = 4.993590938561068005 C4(617,991) = 7928 Sum = 3948.699288275434237 Averaged sum = 0.3945148654486396481 logp*logq = 44.32333731638262197 -------------- ************************************* p = 617; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.845965732553321106 E19 -------------- Searches starting with [617,997]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 41 left neighbors We generated 9969 right neighbors We generated 10009 non-negative rho_i D1(617,997) = 0.5819401789695394129 D2(617,997) = 0.01232921764823576989 C1(617,997) = 0.8350605458429068092 C2(617,997) = 2.046278884426389578 C3(617,997) = 4.727326357959328258 C4(617,997) = 7976 Sum = 4007.909923905352231 Averaged sum = 0.4004306048461736668 logp*logq = 44.36211933971469119 -------------- ************************************* p = 619; q = 631; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 997432437560099475.8 -------------- Searches starting with [619,631]-exponents: u = 1, v = 334 n_start has 939 digits --- performed 5000 steps in the continued fraction search [619,631]-exponents: u = 95, v = 225 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(619,631) = 0.5452843284597024997 D2(619,631) = 0.02844671981111545931 C1(619,631) = 0.7197903474769716385 C2(619,631) = 1.153245036171920634 C3(619,631) = 3.816368735595542972 C4(619,631) = 5048 Sum = 5156.423205861872524 Averaged sum = 0.5156938899751847709 logp*logq = 41.44396080961148008 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(619,631) = 0.5452843284597024997 D2(619,631) = 0.02844671981111545931 C1(619,631) = 0.7197903474769716385 C2(619,631) = 1.153245036171920634 C3(619,631) = 3.816368735595542972 C4(619,631) = 5048 Sum = 5156.423205861872524 Averaged sum = 0.5156938899751847709 logp*logq = 41.44396080961148008 -------------- ************************************* p = 619; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.103516672841403500 E18 -------------- Searches starting with [619,641]-exponents: u = 1, v = 184 n_start has 520 digits starting right neighbors generation We generated 3695 left neighbors We generated 6315 right neighbors We generated 10009 non-negative rho_i D1(619,641) = 0.8736393617960673937 D2(619,641) = 0.008009725365281959433 C1(619,641) = 1.185028801029473538 C2(619,641) = 1.233256072376567813 C3(619,641) = 9.069881346406989376 C4(619,641) = 5128 Sum = 4700.108532051742581 Averaged sum = 0.4695882238037508823 logp*logq = 41.54503372954762074 -------------- ************************************* p = 619; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.125837633728330112 E18 -------------- Searches starting with [619,643]-exponents: u = 1, v = 168 n_start has 475 digits starting right neighbors generation We generated 3058 left neighbors We generated 6952 right neighbors We generated 10009 non-negative rho_i D1(619,643) = 1.069631980673608908 D2(619,643) = 0.002626419574730099934 C1(619,643) = 1.457155492538978310 C2(619,643) = 1.244020984873365480 C3(619,643) = 15.04882367151842468 C4(619,643) = 5144 Sum = 5027.266500432378620 Averaged sum = 0.5022746029006272974 logp*logq = 41.56505899581352484 -------------- ************************************* p = 619; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.171624993373888226 E18 -------------- Searches starting with [619,647]-exponents: u = 1, v = 145 n_start has 411 digits starting right neighbors generation We generated 2362 left neighbors We generated 7648 right neighbors We generated 10009 non-negative rho_i D1(619,647) = 0.6317994077663028896 D2(619,647) = 0.004903003954260937243 C1(619,647) = 0.8676887561225526039 C2(619,647) = 1.274642420932371801 C3(619,647) = 5.025329193036022268 C4(619,647) = 5176 Sum = 4458.682662711299108 Averaged sum = 0.4454673456600358785 logp*logq = 41.60492334232184658 -------------- ************************************* p = 619; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.243249412574685183 E18 -------------- Searches starting with [619,653]-exponents: u = 1, v = 120 n_start has 341 digits starting right neighbors generation We generated 1616 left neighbors We generated 8394 right neighbors We generated 10009 non-negative rho_i D1(619,653) = 0.6702044251569274993 D2(619,653) = 0.01246691616691351714 C1(619,653) = 0.9302323974758598762 C2(619,653) = 1.319274182845246536 C3(619,653) = 5.645533234353318307 C4(619,653) = 5224 Sum = 4249.974546752561903 Averaged sum = 0.4246153009044421923 logp*logq = 41.66426012001371449 -------------- ************************************* p = 619; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.318536621805918201 E18 -------------- Searches starting with [619,659]-exponents: u = 1, v = 102 n_start has 291 digits starting right neighbors generation We generated 1181 left neighbors We generated 8829 right neighbors We generated 10009 non-negative rho_i D1(619,659) = 0.5880613399110144079 D2(619,659) = 0.008218480349129224739 C1(619,659) = 0.8236560378522476661 C2(619,659) = 1.348948626178634166 C3(619,659) = 4.630015298610254834 C4(619,659) = 5272 Sum = 4544.639954896774616 Averaged sum = 0.4540553456785667515 logp*logq = 41.72305417567356459 -------------- ************************************* p = 619; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.344472339680137279 E18 -------------- Searches starting with [619,661]-exponents: u = 1, v = 97 n_start has 277 digits starting right neighbors generation We generated 1033 left neighbors We generated 8977 right neighbors We generated 10009 non-negative rho_i D1(619,661) = 0.8068126462543375011 D2(619,661) = 0.01356037439837973918 C1(619,661) = 1.133511418508180238 C2(619,661) = 1.364057469234191533 C3(619,661) = 8.240836269314426586 C4(619,661) = 5288 Sum = 4902.524574716871227 Averaged sum = 0.4898116270073804802 logp*logq = 41.74253329746646688 -------------- ************************************* p = 619; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.509310333899297772 E18 -------------- Searches starting with [619,673]-exponents: u = 1, v = 76 n_start has 218 digits starting right neighbors generation We generated 665 left neighbors We generated 9345 right neighbors We generated 10009 non-negative rho_i D1(619,673) = 0.7080041691247273614 D2(619,673) = 0.01207848671670098880 C1(619,673) = 1.010381290450583201 C2(619,673) = 1.418690983080032299 C3(619,673) = 6.553479189844086691 C4(619,673) = 5384 Sum = 4709.597721402783881 Averaged sum = 0.4705362894797466161 logp*logq = 41.85818448786856816 -------------- ************************************* p = 619; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.567912945819967163 E18 -------------- Searches starting with [619,677]-exponents: u = 1, v = 71 n_start has 204 digits starting right neighbors generation We generated 555 left neighbors We generated 9455 right neighbors We generated 10009 non-negative rho_i D1(619,677) = 0.6291284200340891169 D2(619,677) = 0.03007599183428724007 C1(619,677) = 0.9019678617106243503 C2(619,677) = 1.451343749486635274 C3(619,677) = 5.356299811601684390 C4(619,677) = 5416 Sum = 4513.504872714573519 Averaged sum = 0.4509446370980690897 logp*logq = 41.89627707503231803 -------------- ************************************* p = 619; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.659413696437197954 E18 -------------- Searches starting with [619,683]-exponents: u = 1, v = 65 n_start has 188 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(619,683) = 1.404724714337520377 D2(619,683) = 0.02441134432661676328 C1(619,683) = 1.898507525288615942 C2(619,683) = 1.469959368264710017 C3(619,683) = 34.20988542497274584 C4(619,683) = 5464 Sum = 3503.697931073700128 Averaged sum = 0.3500547438379158884 logp*logq = 41.95299601895590821 -------------- ************************************* p = 619; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.788396486583603149 E18 -------------- Searches starting with [619,691]-exponents: u = 1, v = 58 n_start has 168 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(619,691) = 0.6051136043532611003 D2(619,691) = 0.03490922407673450119 C1(619,691) = 0.8407054816178800578 C2(619,691) = 1.508517806780701997 C3(619,691) = 4.779250468091545847 C4(619,691) = 5528 Sum = 4050.803491139318519 Averaged sum = 0.4047161046197740552 logp*logq = 42.02785107471009481 -------------- ************************************* p = 619; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.961439856220727836 E18 -------------- Searches starting with [619,701]-exponents: u = 1, v = 51 n_start has 148 digits starting right neighbors generation We generated 302 left neighbors We generated 9708 right neighbors We generated 10009 non-negative rho_i D1(619,701) = 0.9041078929993835934 D2(619,701) = 0.04154714693867180831 C1(619,701) = 1.236399125105199082 C2(619,701) = 1.547996756990371732 C3(619,701) = 9.979598985140556031 C4(619,701) = 5608 Sum = 4118.570579966299137 Averaged sum = 0.4114867199486761052 logp*logq = 42.12021049795445037 -------------- ************************************* p = 619; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.109862216984038777 E18 -------------- Searches starting with [619,709]-exponents: u = 1, v = 47 n_start has 137 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(619,709) = 0.7096750478954624998 D2(619,709) = 0.03832807774116853170 C1(619,709) = 0.9750057500953723387 C2(619,709) = 1.570073016370043735 C3(619,709) = 6.136002849225567261 C4(619,709) = 5672 Sum = 4069.846370178431400 Averaged sum = 0.4066186802056580478 logp*logq = 42.19315431924109457 -------------- ************************************* p = 619; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.308628447814322957 E18 -------------- Searches starting with [619,719]-exponents: u = 1, v = 42 n_start has 123 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(619,719) = 0.7914927900733983844 D2(619,719) = 0.04029425874665057093 C1(619,719) = 1.180668494398861663 C2(619,719) = 1.600935951690306465 C3(619,719) = 8.996593875990153039 C4(619,719) = 5752 Sum = 4653.341365534592699 Averaged sum = 0.4649157124122882105 logp*logq = 42.28318527655491637 -------------- ************************************* p = 619; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.478816820117376396 E18 -------------- Searches starting with [619,727]-exponents: u = 1, v = 39 n_start has 115 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(619,727) = 0.9595421478891080078 D2(619,727) = 0.02054621752096925306 C1(619,727) = 1.440319330530101733 C2(619,727) = 1.605573035419348310 C3(619,727) = 14.58470125092154076 C4(619,727) = 5816 Sum = 5179.859129757749453 Averaged sum = 0.5175201448454140725 logp*logq = 42.35431303156435878 -------------- ************************************* p = 619; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.613304198433059068 E18 -------------- Searches starting with [619,733]-exponents: u = 1, v = 38 n_start has 112 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(619,733) = 0.9750119468546407793 D2(619,733) = 0.004616501455838511327 C1(619,733) = 1.470211498268912240 C2(619,733) = 1.607533751303203486 C3(619,733) = 15.41888216916305057 C4(619,733) = 5864 Sum = 2637.349757081725749 Averaged sum = 0.2634978276632756268 logp*logq = 42.40714707096610504 -------------- ************************************* p = 619; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.753901736555716136 E18 -------------- Searches starting with [619,739]-exponents: u = 1, v = 36 n_start has 107 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(619,739) = 0.5722460559349934073 D2(619,739) = 0.04439714214859744294 C1(619,739) = 0.7850323161112904381 C2(619,739) = 1.657347955741730177 C3(619,739) = 4.308948007431293640 C4(619,739) = 5912 Sum = 3944.629404226307772 Averaged sum = 0.3941082430039272427 logp*logq = 42.45955039329973628 -------------- ************************************* p = 619; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.851138611411687541 E18 -------------- Searches starting with [619,743]-exponents: u = 1, v = 35 n_start has 104 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(619,743) = 0.7635802757305861294 D2(619,743) = 0.04276308096758590561 C1(619,743) = 1.036886093576904933 C2(619,743) = 1.665745534760655253 C3(619,743) = 6.884779015060632109 C4(619,743) = 5944 Sum = 3743.467070367455702 Averaged sum = 0.3740100979485918375 logp*logq = 42.49425010116543219 -------------- ************************************* p = 619; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.054331993949909825 E18 -------------- Searches starting with [619,751]-exponents: u = 1, v = 33 n_start has 98 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(619,751) = 0.8349738130188813185 D2(619,751) = 0.02503860004461592779 C1(619,751) = 1.150751495119448966 C2(619,751) = 1.669343403605318220 C3(619,751) = 8.509473655009483755 C4(619,751) = 6008 Sum = 4062.264896173158123 Averaged sum = 0.4058612145242439927 logp*logq = 42.56309258268861915 -------------- ************************************* p = 619; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.214633036347294718 E18 -------------- Searches starting with [619,757]-exponents: u = 1, v = 31 n_start has 93 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(619,757) = 0.8221358364999425873 D2(619,757) = 0.04079454511860429721 C1(619,757) = 1.259638555270119749 C2(619,757) = 1.696837215486445698 C3(619,757) = 10.42059406313793515 C4(619,757) = 6056 Sum = 4409.281523294600661 Averaged sum = 0.4405316738230193487 logp*logq = 42.61424488396277284 -------------- ************************************* p = 619; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.325400094716854761 E18 -------------- Searches starting with [619,761]-exponents: u = 1, v = 31 n_start has 93 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(619,761) = 0.9901315305939054005 D2(619,761) = 0.01876914402592912931 C1(619,761) = 1.322135946254319295 C2(619,761) = 1.686691757394332719 C3(619,761) = 11.70565058304323112 C4(619,761) = 6088 Sum = 3013.922527567544380 Averaged sum = 0.3011212436374807053 logp*logq = 42.64812166999980951 -------------- ************************************* p = 619; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.556627002975486880 E18 -------------- Searches starting with [619,769]-exponents: u = 1, v = 29 n_start has 87 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(619,769) = 0.5613920028302220834 D2(619,769) = 0.05102182542418185617 C1(619,769) = 0.7924003208341029278 C2(619,769) = 1.732141519719153807 C3(619,769) = 4.368428311328614572 C4(619,769) = 6152 Sum = 4155.996246714904474 Averaged sum = 0.4152259213422823933 logp*logq = 42.71534429854802464 -------------- ************************************* p = 619; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.677238795210422955 E18 -------------- Searches starting with [619,773]-exponents: u = 1, v = 28 n_start has 84 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(619,773) = 0.7975524540058728397 D2(619,773) = 0.01648100416130037189 C1(619,773) = 1.233866373482417354 C2(619,773) = 1.710665957748580765 C3(619,773) = 9.932679373766346256 C4(619,773) = 6184 Sum = 4184.626816074760929 Averaged sum = 0.4180864038440164781 logp*logq = 42.74869381704870638 -------------- ************************************* p = 619; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.126961777772576517 E18 -------------- Searches starting with [619,787]-exponents: u = 1, v = 26 n_start has 79 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(619,787) = 0.5996695269817608680 D2(619,787) = 0.01118981975433270889 C1(619,787) = 0.8365932410346608836 C2(619,787) = 1.734730025170913722 C3(619,787) = 4.742821279469604542 C4(619,787) = 6296 Sum = 4020.177507223837206 Averaged sum = 0.4016562600883042468 logp*logq = 42.86407316311627841 -------------- ************************************* p = 619; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.475891334908737453 E18 -------------- Searches starting with [619,797]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(619,797) = 0.5769316981174195910 D2(619,797) = 0.03241644186044913253 C1(619,797) = 0.8473111045776275909 C2(619,797) = 1.772386326055363316 C3(619,797) = 4.838354471735542252 C4(619,797) = 6376 Sum = 3690.820756401727199 Averaged sum = 0.3687502004597589369 logp*logq = 42.94523718677093495 -------------- ************************************* p = 619; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.927189033523357894 E18 -------------- Searches starting with [619,809]-exponents: u = 1, v = 24 n_start has 73 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(619,809) = 1.115336751384152904 D2(619,809) = 0.06746802405784830843 C1(619,809) = 1.760064469030811124 C2(619,809) = 1.825144631253515248 C3(619,809) = 26.44101619200553362 C4(619,809) = 6472 Sum = 1945.356145111614059 Averaged sum = 0.1943606898902601718 logp*logq = 43.04130032357949901 -------------- ************************************* p = 619; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.006016668063771666 E18 -------------- Searches starting with [619,811]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(619,811) = 0.7070119540540379106 D2(619,811) = 0.09464723193449234587 C1(619,811) = 0.9799260693397871068 C2(619,811) = 1.852688577125851782 C3(619,811) = 6.192436742570843813 C4(619,811) = 6488 Sum = 4113.519915469373338 Averaged sum = 0.4109821076500522867 logp*logq = 43.05717219651407530 -------------- ************************************* p = 619; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.416323739377776476 E18 -------------- Searches starting with [619,821]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(619,821) = 0.6834506652911344026 D2(619,821) = 0.08883032304106481454 C1(619,821) = 0.9627047083965023439 C2(619,821) = 1.865226954958410515 C3(619,821) = 5.997155229012459600 C4(619,821) = 6568 Sum = 4040.077250247931686 Averaged sum = 0.4036444450242713244 logp*logq = 43.13594898234298485 -------------- ************************************* p = 619; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.501701868330552142 E18 -------------- Searches starting with [619,823]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(619,823) = 0.6645641850217989730 D2(619,823) = 0.1162977683847259543 C1(619,823) = 0.9067409136558283704 C2(619,823) = 1.893055944692976825 C3(619,823) = 5.404081624773660595 C4(619,823) = 6584 Sum = 3709.315391040805206 Averaged sum = 0.3705980009032675798 logp*logq = 43.15158914887302608 -------------- ************************************* p = 619; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.675871427322167197 E18 -------------- Searches starting with [619,827]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(619,827) = 0.6229379101514447383 D2(619,827) = 0.02484751835583303398 C1(619,827) = 0.8667721396528734604 C2(619,827) = 1.820023022876015141 C3(619,827) = 5.016765649246725617 C4(619,827) = 6616 Sum = 3858.001866192678157 Averaged sum = 0.3854532786684661961 logp*logq = 43.18275578094712522 -------------- ************************************* p = 619; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.764687460223081255 E18 -------------- Searches starting with [619,829]-exponents: u = 1, v = 22 n_start has 67 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(619,829) = 1.291170254345085692 D2(619,829) = 0.04644128395477763332 C1(619,829) = 2.057385228665179181 C2(619,829) = 1.841977970718824014 C3(619,829) = 45.97672026186831606 C4(619,829) = 6632 Sum = 1865.803916815112201 Averaged sum = 0.1864126203232203218 logp*logq = 43.19828261282648403 -------------- ************************************* p = 619; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.226581492925745843 E18 -------------- Searches starting with [619,839]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(619,839) = 0.6541846185084899934 D2(619,839) = 0.01814484449139979739 C1(619,839) = 0.8955341167624645674 C2(619,839) = 1.834477570870577230 C3(619,839) = 5.292561073608782531 C4(619,839) = 6712 Sum = 3776.434113483791391 Averaged sum = 0.3773038378942742922 logp*logq = 43.27535913906553773 -------------- ************************************* p = 619; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.925464720110339590 E18 -------------- Searches starting with [619,853]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(619,853) = 0.8543915352274522312 D2(619,853) = 0.01563532145770886881 C1(619,853) = 1.376577601955563907 C2(619,853) = 1.854947160919756564 C3(619,853) = 12.95355375110566836 C4(619,853) = 6824 Sum = 1969.031362396049845 Averaged sum = 0.1967260827651163798 logp*logq = 43.38173683131177140 -------------- ************************************* p = 619; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.136897937381264764 E18 -------------- Searches starting with [619,857]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(619,857) = 0.7152563002832915279 D2(619,857) = 0.05390160809583118968 C1(619,857) = 1.016436943695924133 C2(619,857) = 1.893922502959184584 C3(619,857) = 6.627738960713294359 C4(619,857) = 6856 Sum = 3998.075018988736343 Averaged sum = 0.3994479987000435951 logp*logq = 43.41180989328647239 -------------- ************************************* p = 619; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.244641952110592741 E18 -------------- Searches starting with [619,859]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(619,859) = 0.5402262762289689444 D2(619,859) = 0.07453254818486840311 C1(619,859) = 0.7571101103304571632 C2(619,859) = 1.914906722933292272 C3(619,859) = 4.090795735777672817 C4(619,859) = 6872 Sum = 4080.004976398088789 Averaged sum = 0.4076336273751712248 logp*logq = 43.42679382844572173 -------------- ************************************* p = 619; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.464255152616850554 E18 -------------- Searches starting with [619,863]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(619,863) = 0.7642420642679397761 D2(619,863) = 0.1196873687964575671 C1(619,863) = 1.110158525171711641 C2(619,863) = 1.960765627039180939 C3(619,863) = 7.890421616752642917 C4(619,863) = 6904 Sum = 4378.080075615091095 Averaged sum = 0.4374143346603148262 logp*logq = 43.45665732128778812 -------------- ************************************* p = 619; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.277728989606138297 E18 -------------- Searches starting with [619,877]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(619,877) = 0.6055115478584501224 D2(619,877) = 0.08835600473306633977 C1(619,877) = 0.9130437336655105803 C2(619,877) = 1.954072176463093399 C3(619,877) = 5.467831236419366455 C4(619,877) = 7016 Sum = 3609.796981123521778 Averaged sum = 0.3606551085146889578 logp*logq = 43.56010032805166386 -------------- ************************************* p = 619; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.523445033462051684 E18 -------------- Searches starting with [619,881]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(619,881) = 0.5933149778960901520 D2(619,881) = 0.1321273718220311474 C1(619,881) = 0.8351847327620296605 C2(619,881) = 1.998538282838300048 C3(619,881) = 4.730407648260173455 C4(619,881) = 7048 Sum = 4089.223015407890140 Averaged sum = 0.4085546023986302468 logp*logq = 43.58935227965844505 -------------- ************************************* p = 619; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.648594432984987120 E18 -------------- Searches starting with [619,883]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(619,883) = 0.6992890164316557063 D2(619,883) = 0.1183891155306689419 C1(619,883) = 1.141232813217779564 C2(619,883) = 1.349683511183662987 C3(619,883) = 8.360087312514896970 C4(619,883) = 7064 Sum = 3653.981480963962052 Averaged sum = 0.3650695854694736788 logp*logq = 43.60392848833661094 -------------- ************************************* p = 619; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.903553324982588671 E18 -------------- Searches starting with [619,887]-exponents: u = 1, v = 17 n_start has 53 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(619,887) = 0.6304656834489210160 D2(619,887) = 0.009002174654838949034 C1(619,887) = 1.028875970031753747 C2(619,887) = 1.900600286597521461 C3(619,887) = 6.782927272031463735 C4(619,887) = 7096 Sum = 3998.115306120533704 Averaged sum = 0.3994520237906417928 logp*logq = 43.63298212094988688 -------------- ************************************* p = 619; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.027569006178970032 E19 -------------- Searches starting with [619,907]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(619,907) = 0.6212193837471355262 D2(619,907) = 0.1429137084073047855 C1(619,907) = 0.8685835426224170213 C2(619,907) = 1.803309788780357374 C3(619,907) = 5.033702888628019887 C4(619,907) = 7256 Sum = 4105.648195043314221 Averaged sum = 0.4101956434252486982 logp*logq = 43.77631259131830358 -------------- ************************************* p = 619; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.057050372574493890 E19 -------------- Searches starting with [619,911]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(619,911) = 0.5595688374279465319 D2(619,911) = 0.02750281019099884650 C1(619,911) = 0.8218111282070612963 C2(619,911) = 1.949649894229107701 C3(619,911) = 4.614148695102196866 C4(619,911) = 7288 Sum = 3892.699017740809523 Averaged sum = 0.3889198738875821283 logp*logq = 43.80459912881210195 -------------- ************************************* p = 619; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.118160286325973153 E19 -------------- Searches starting with [619,919]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(619,919) = 0.5988344086135835842 D2(619,919) = 0.09328399176704602890 C1(619,919) = 0.8619960295941472837 C2(619,919) = 2.016787625758316688 C3(619,919) = 4.972380113003321637 C4(619,919) = 7352 Sum = 4083.239839740476873 Averaged sum = 0.4079568228334975395 logp*logq = 43.86080150015022407 -------------- ************************************* p = 619; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.198719197275875212 E19 -------------- Searches starting with [619,929]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(619,929) = 0.9848456272908240545 D2(619,929) = 0.1307016872488735084 C1(619,929) = 1.381906198667269365 C2(619,929) = 1.815387888499293126 C3(619,929) = 13.08262460573252140 C4(619,929) = 7432 Sum = 4589.940619112632419 Averaged sum = 0.4585813387064274572 logp*logq = 43.93037041806911061 -------------- ************************************* p = 619; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.266645058678466045 E19 -------------- Searches starting with [619,937]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(619,937) = 1.017104254449261447 D2(619,937) = 0.03143302692675426879 C1(619,937) = 1.558363292205414696 C2(619,937) = 1.987079847140236369 C3(619,937) = 18.16715217268536650 C4(619,937) = 7496 Sum = 4132.899132264182290 Averaged sum = 0.4129182867683267349 logp*logq = 43.98548848586753993 -------------- ************************************* p = 619; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.301808602709958346 E19 -------------- Searches starting with [619,941]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(619,941) = 0.6990284453883257635 D2(619,941) = 0.06062250021905597783 C1(619,941) = 1.033238888204427302 C2(619,941) = 2.016936175043852033 C3(619,941) = 6.838215143387896534 C4(619,941) = 7528 Sum = 4038.677412306723662 Averaged sum = 0.4035045871022803139 logp*logq = 44.01287129734040131 -------------- ************************************* p = 619; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.356097743716404876 E19 -------------- Searches starting with [619,947]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(619,947) = 0.6403448006735064625 D2(619,947) = 0.09308090261831364189 C1(619,947) = 1.070154844681464751 C2(619,947) = 1.402289648200671754 C3(619,947) = 7.324431412833813329 C4(619,947) = 7576 Sum = 3786.103520759417791 Averaged sum = 0.3782699091576998492 logp*logq = 44.05372803619399068 -------------- ************************************* p = 619; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.412286417673507154 E19 -------------- Searches starting with [619,953]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(619,953) = 0.6667072024054095373 D2(619,953) = 0.1083920500663125470 C1(619,953) = 1.114133331896779464 C2(619,953) = 1.400822954263830381 C3(619,953) = 7.948994263775445504 C4(619,953) = 7624 Sum = 4006.399069756625041 Averaged sum = 0.4002796552859051894 logp*logq = 44.09432673076541429 -------------- ************************************* p = 619; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.551085218969076972 E19 -------------- Searches starting with [619,967]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(619,967) = 0.6147630964709905911 D2(619,967) = 0.02958591964251217522 C1(619,967) = 0.8781010653402635671 C2(619,967) = 2.022505853422440446 C3(619,967) = 5.123639039772452543 C4(619,967) = 7736 Sum = 3914.229421469364379 Averaged sum = 0.3910709782664965910 logp*logq = 44.18807159410383878 -------------- ************************************* p = 619; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.592794261812573065 E19 -------------- Searches starting with [619,971]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(619,971) = 0.5603376922292525962 D2(619,971) = 0.05599899946295273177 C1(619,971) = 0.7834592907349826590 C2(619,971) = 2.049571363002495669 C3(619,971) = 4.296354601026504462 C4(619,971) = 7768 Sum = 4048.741562557830643 Averaged sum = 0.4045100971683315659 logp*logq = 44.21460663806948199 -------------- ************************************* p = 619; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.657131641271827275 E19 -------------- Searches starting with [619,977]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(619,977) = 0.7072099833642483171 D2(619,977) = 0.07769588945294659937 C1(619,977) = 1.193200522835211087 C2(619,977) = 1.349601702528619964 C3(619,977) = 9.208842280810330719 C4(619,977) = 7816 Sum = 3892.739750595886472 Averaged sum = 0.3889239435104292608 logp*logq = 44.25420494772293403 -------------- ************************************* p = 619; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.723649853403717681 E19 -------------- Searches starting with [619,983]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(619,983) = 0.7226783540556625024 D2(619,983) = 0.09680597535051200385 C1(619,983) = 0.9914008684679797913 C2(619,983) = 1.406191455820098094 C3(619,983) = 6.326072556540718456 C4(619,983) = 7864 Sum = 4078.189173541751528 Averaged sum = 0.4074522103648467906 logp*logq = 44.29356081722656688 -------------- ************************************* p = 619; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.815836977382297027 E19 -------------- Searches starting with [619,991]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(619,991) = 0.8034824421351537131 D2(619,991) = 0.09883747015424348551 C1(619,991) = 1.198553438678399756 C2(619,991) = 1.841489345422577423 C3(619,991) = 9.301021217562490902 C4(619,991) = 7928 Sum = 4188.953153943674595 Averaged sum = 0.4185186486106179034 logp*logq = 44.34566327287245387 -------------- ************************************* p = 619; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.887679060398596971 E19 -------------- Searches starting with [619,997]-exponents: u = 1, v = 13 n_start has 42 digits starting right neighbors generation We generated 28 left neighbors We generated 9982 right neighbors We generated 10009 non-negative rho_i D1(619,997) = 0.8262411305874938849 D2(619,997) = 0.08852296836015472771 C1(619,997) = 1.282800423220962100 C2(619,997) = 1.701032112472858084 C3(619,997) = 10.87950633657479297 C4(619,997) = 7976 Sum = 3364.745160528840653 Averaged sum = 0.3361719612877251127 logp*logq = 44.38446483096471768 -------------- ************************************* p = 631; q = 641; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.249315790043362562 E18 -------------- Searches starting with [631,641]-exponents: u = 1, v = 410 n_start has 1154 digits --- performed 5000 steps in the continued fraction search [631,641]-exponents: u = 146, v = 253 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(631,641) = 0.9345093012922092188 D2(631,641) = 0.09945359866925064566 C1(631,641) = 1.223880887885630225 C2(631,641) = 1.191570883706938832 C3(631,641) = 9.785490515939169904 C4(631,641) = 5128 Sum = 5269.835774288211106 Averaged sum = 0.5270362810569268033 logp*logq = 41.66912770738118900 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(631,641) = 0.9345093012922092188 D2(631,641) = 0.09945359866925064566 C1(631,641) = 1.223880887885630225 C2(631,641) = 1.191570883706938832 C3(631,641) = 9.785490515939169904 C4(631,641) = 5128 Sum = 5269.835774288211106 Averaged sum = 0.5270362810569268033 logp*logq = 41.66912770738118900 -------------- ************************************* p = 631; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.274662088331326380 E18 -------------- Searches starting with [631,643]-exponents: u = 1, v = 342 n_start has 964 digits --- performed 5000 steps in the continued fraction search [631,643]-exponents: u = 303, v = 26 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(631,643) = 0.7038342056742443306 D2(631,643) = 0.04052539588653164825 C1(631,643) = 0.9285293622428517087 C2(631,643) = 1.163056536352534157 C3(631,643) = 5.643278614591274757 C4(631,643) = 5144 Sum = 5162.998992527581839 Averaged sum = 0.5163515344061988038 logp*logq = 41.68921278861713956 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(631,643) = 0.7038342056742443306 D2(631,643) = 0.04052539588653164825 C1(631,643) = 0.9285293622428517087 C2(631,643) = 1.163056536352534157 C3(631,643) = 5.643278614591274757 C4(631,643) = 5144 Sum = 5162.998992527581839 Averaged sum = 0.5163515344061988038 logp*logq = 41.68921278861713956 -------------- ************************************* p = 631; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.326660039202470215 E18 -------------- Searches starting with [631,647]-exponents: u = 1, v = 257 n_start has 726 digits --- performed 5000 steps in the continued fraction search [631,647]-exponents: u = 50, v = 188 --- starting right neighbors generation We generated 7104 left neighbors We generated 2906 right neighbors We generated 10009 non-negative rho_i D1(631,647) = 0.5964994337177971186 D2(631,647) = 0.001410955320739317315 C1(631,647) = 0.7966944742365915651 C2(631,647) = 1.171987878918569326 C3(631,647) = 4.413947855586219681 C4(631,647) = 5176 Sum = 4971.469007589869537 Averaged sum = 0.4966998708751992743 logp*logq = 41.72919620893255355 -------------- ************************************* p = 631; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.408011675843787890 E18 -------------- Searches starting with [631,653]-exponents: u = 1, v = 188 n_start has 533 digits starting right neighbors generation We generated 3948 left neighbors We generated 6062 right neighbors We generated 10009 non-negative rho_i D1(631,653) = 0.7663450719151167748 D2(631,653) = 0.0009781246778575582354 C1(631,653) = 1.038813280525151614 C2(631,653) = 1.225217650891770708 C3(631,653) = 6.930952137400851788 C4(631,653) = 5224 Sum = 4711.553369252704687 Averaged sum = 0.4707316784146972411 logp*logq = 41.78871022409698062 -------------- ************************************* p = 631; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.493538627734432202 E18 -------------- Searches starting with [631,659]-exponents: u = 1, v = 148 n_start has 420 digits starting right neighbors generation We generated 2413 left neighbors We generated 7597 right neighbors We generated 10009 non-negative rho_i D1(631,659) = 0.5576025953328452452 D2(631,659) = 0.006095186713954554466 C1(631,659) = 0.7652762081763280116 C2(631,659) = 1.273735482317377378 C3(631,659) = 4.162918766702689069 C4(631,659) = 5272 Sum = 4470.868108878375040 Averaged sum = 0.4466847945727220542 logp*logq = 41.84767989613223903 -------------- ************************************* p = 631; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.523005260099947021 E18 -------------- Searches starting with [631,661]-exponents: u = 1, v = 138 n_start has 392 digits starting right neighbors generation We generated 2119 left neighbors We generated 7891 right neighbors We generated 10009 non-negative rho_i D1(631,661) = 0.6921317170242830919 D2(631,661) = 0.001615607007513194714 C1(631,661) = 0.9531582564694440586 C2(631,661) = 1.282894734056867594 C3(631,661) = 5.908341429789949370 C4(631,661) = 5288 Sum = 4725.472051345672238 Averaged sum = 0.4721222950690051192 logp*logq = 41.86721720157529122 -------------- ************************************* p = 631; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.710322869561876856 E18 -------------- Searches starting with [631,673]-exponents: u = 1, v = 100 n_start has 286 digits starting right neighbors generation We generated 1157 left neighbors We generated 8853 right neighbors We generated 10009 non-negative rho_i D1(631,673) = 0.8789291550680883510 D2(631,673) = 0.01458333244910451893 C1(631,673) = 1.233855748565324834 C2(631,673) = 1.362555168382157805 C3(631,673) = 9.969101915601844209 C4(631,673) = 5384 Sum = 4037.946868060923484 Averaged sum = 0.4034315983675615430 logp*logq = 41.98321383919381820 -------------- ************************************* p = 631; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.776932448448499316 E18 -------------- Searches starting with [631,677]-exponents: u = 1, v = 91 n_start has 261 digits starting right neighbors generation We generated 967 left neighbors We generated 9043 right neighbors We generated 10009 non-negative rho_i D1(631,677) = 0.5666668419821320924 D2(631,677) = 0.005072846939111136637 C1(631,677) = 0.7996624240437200757 C2(631,677) = 1.373770389451833856 C3(631,677) = 4.438430179079553572 C4(631,677) = 5416 Sum = 4479.112108543531067 Averaged sum = 0.4475084532464313185 logp*logq = 42.02142020796376183 -------------- ************************************* p = 631; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.880949864012881760 E18 -------------- Searches starting with [631,683]-exponents: u = 1, v = 81 n_start has 233 digits starting right neighbors generation We generated 784 left neighbors We generated 9226 right neighbors We generated 10009 non-negative rho_i D1(631,683) = 0.6200246311133083089 D2(631,683) = 0.008758087931945496745 C1(631,683) = 0.8463326803536343666 C2(631,683) = 1.404391657234488805 C3(631,683) = 4.841760286200605775 C4(631,683) = 5464 Sum = 3886.084090068308147 Averaged sum = 0.3882589759284951691 logp*logq = 42.07830856995584647 -------------- ************************************* p = 631; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.027605503689614703 E18 -------------- Searches starting with [631,691]-exponents: u = 1, v = 70 n_start has 202 digits starting right neighbors generation We generated 547 left neighbors We generated 9463 right neighbors We generated 10009 non-negative rho_i D1(631,691) = 1.019834463946370890 D2(631,691) = 0.02023644097319724787 C1(631,691) = 1.464252391035281207 C2(631,691) = 1.447807101153001211 C3(631,691) = 15.31560202290174745 C4(631,691) = 5528 Sum = 5622.356958123818597 Averaged sum = 0.5617301386875630529 logp*logq = 42.15338721589147235 -------------- ************************************* p = 631; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.224408061688549282 E18 -------------- Searches starting with [631,701]-exponents: u = 1, v = 61 n_start has 177 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(631,701) = 0.5884920211091183859 D2(631,701) = 0.01103416014792049712 C1(631,701) = 0.7981512926063568986 C2(631,701) = 1.477262115864807200 C3(631,701) = 4.425948084494077338 C4(631,701) = 5608 Sum = 3490.302279284229854 Averaged sum = 0.3487163831835577834 logp*logq = 42.24602251442564997 -------------- ************************************* p = 631; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.393250642221494354 E18 -------------- Searches starting with [631,709]-exponents: u = 1, v = 55 n_start has 160 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(631,709) = 0.7481697879564477657 D2(631,709) = 0.02631419829449362647 C1(631,709) = 1.019975517674578027 C2(631,709) = 1.518183731063746043 C3(631,709) = 6.691847322839469670 C4(631,709) = 5672 Sum = 3654.715930931451411 Averaged sum = 0.3651429644251624948 logp*logq = 42.31918421708412713 -------------- ************************************* p = 631; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.619418694232639133 E18 -------------- Searches starting with [631,719]-exponents: u = 1, v = 49 n_start has 143 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(631,719) = 0.5692623816044614878 D2(631,719) = 0.04539463142520112886 C1(631,719) = 0.7807150374120731007 C2(631,719) = 1.566789481354745104 C3(631,719) = 4.284437277407984522 C4(631,719) = 5752 Sum = 4056.306425469209051 Averaged sum = 0.4052659032340102958 logp*logq = 42.40948409461820839 -------------- ************************************* p = 631; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.813115625268124456 E18 -------------- Searches starting with [631,727]-exponents: u = 1, v = 45 n_start has 132 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(631,727) = 0.7721815831440387664 D2(631,727) = 0.01919257547560099513 C1(631,727) = 1.089679196352876547 C2(631,727) = 1.567402269484101724 C3(631,727) = 7.620135025656231207 C4(631,727) = 5816 Sum = 4445.219695596152321 Averaged sum = 0.4441222595260417945 logp*logq = 42.48082430645488441 -------------- ************************************* p = 631; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.966208345693751124 E18 -------------- Searches starting with [631,733]-exponents: u = 1, v = 43 n_start has 126 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(631,733) = 0.9689189309761192236 D2(631,733) = 0.03387526994128402047 C1(631,733) = 1.446100297968639295 C2(631,733) = 1.597168345054848441 C3(631,733) = 14.80615061439130574 C4(631,733) = 5864 Sum = 2825.754642139384239 Averaged sum = 0.2823213749764596102 logp*logq = 42.53381615981237468 -------------- ************************************* p = 631; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.126281676757660244 E18 -------------- Searches starting with [631,739]-exponents: u = 1, v = 40 n_start has 118 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(631,739) = 0.6211247006552486127 D2(631,739) = 0.03497647373232357403 C1(631,739) = 0.9308274930713568761 C2(631,739) = 1.614367491347272459 C3(631,739) = 5.667500270633355616 C4(631,739) = 5912 Sum = 4050.813675686225951 Averaged sum = 0.4047171221586797833 logp*logq = 42.58637600956062804 -------------- ************************************* p = 631; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.237002316883219424 E18 -------------- Searches starting with [631,743]-exponents: u = 1, v = 39 n_start has 115 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(631,743) = 0.6902986131643447469 D2(631,743) = 0.05017409382312104860 C1(631,743) = 0.9830505574524781137 C2(631,743) = 1.638223700743756329 C3(631,743) = 6.246831092241241911 C4(631,743) = 5944 Sum = 4218.346366123165182 Averaged sum = 0.4214553268181801561 logp*logq = 42.62117936458681848 -------------- ************************************* p = 631; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.468408360479846472 E18 -------------- Searches starting with [631,751]-exponents: u = 1, v = 37 n_start has 110 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(631,751) = 0.9415618216437827055 D2(631,751) = 0.06706740650496252898 C1(631,751) = 1.423959843700796613 C2(631,751) = 1.673377201075605963 C3(631,751) = 14.20764706716162121 C4(631,751) = 6008 Sum = 2580.370398148230425 Averaged sum = 0.2578050153010520956 logp*logq = 42.69022747688242844 -------------- ************************************* p = 631; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.650999241454560510 E18 -------------- Searches starting with [631,757]-exponents: u = 1, v = 35 n_start has 104 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(631,757) = 0.5594899608208926205 D2(631,757) = 0.02779279611047220361 C1(631,757) = 0.8025176337931934557 C2(631,757) = 1.653405465361558325 C3(631,757) = 4.462110665890266348 C4(631,757) = 6056 Sum = 3947.174273920446525 Averaged sum = 0.3943625011410177366 logp*logq = 42.74153256880255376 -------------- ************************************* p = 631; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.777184421550685703 E18 -------------- Searches starting with [631,761]-exponents: u = 1, v = 34 n_start has 101 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(631,761) = 0.5645627712688463394 D2(631,761) = 0.02045581229051942655 C1(631,761) = 0.8113920922930874158 C2(631,761) = 1.656505276058622768 C3(631,761) = 4.536523145720880358 C4(631,761) = 6088 Sum = 3935.179523152226499 Averaged sum = 0.3931641046210636925 logp*logq = 42.77551054395314175 -------------- ************************************* p = 631; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.040636749922267269 E18 -------------- Searches starting with [631,769]-exponents: u = 1, v = 32 n_start has 96 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(631,769) = 0.5332125280383487728 D2(631,769) = 0.07519505913022222517 C1(631,769) = 0.7695554217731817010 C2(631,769) = 1.722864120085947563 C3(631,769) = 4.196250817455334525 C4(631,769) = 6152 Sum = 3978.375344636632987 Averaged sum = 0.3974798026412861412 logp*logq = 42.84293396481341230 -------------- ************************************* p = 631; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.178078381960058446 E18 -------------- Searches starting with [631,773]-exponents: u = 1, v = 31 n_start has 93 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(631,773) = 0.6601202343196093911 D2(631,773) = 0.05402190847695336273 C1(631,773) = 0.9124679073766463973 C2(631,773) = 1.713048102660776445 C3(631,773) = 5.476860758733736761 C4(631,773) = 6184 Sum = 4024.038225572764806 Averaged sum = 0.4020419847709825962 logp*logq = 42.87638309749268695 -------------- ************************************* p = 631; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.690669885048994752 E18 -------------- Searches starting with [631,787]-exponents: u = 1, v = 29 n_start has 87 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(631,787) = 0.6049230406345225176 D2(631,787) = 0.09206292419327057917 C1(631,787) = 0.9364068333633041048 C2(631,787) = 1.776512752403219889 C3(631,787) = 5.726738420480672686 C4(631,787) = 6296 Sum = 3720.141888977486170 Averaged sum = 0.3716796771882791658 logp*logq = 42.99210707878444891 -------------- ************************************* p = 631; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.088493750345667833 E18 -------------- Searches starting with [631,797]-exponents: u = 1, v = 27 n_start has 82 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(631,797) = 0.7307570740115645476 D2(631,797) = 0.03457131903460166144 C1(631,797) = 1.005173576541762750 C2(631,797) = 1.746194576179239501 C3(631,797) = 6.509770145087823328 C4(631,797) = 6376 Sum = 4114.276394578820559 Averaged sum = 0.4110576875390968688 logp*logq = 43.07351353735004695 -------------- ************************************* p = 631; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.603166803077617658 E18 -------------- Searches starting with [631,809]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(631,809) = 0.8328904541844865107 D2(631,809) = 0.09357235087228575553 C1(631,809) = 1.303856294554759851 C2(631,809) = 1.821140318594953609 C3(631,809) = 11.35829010602205730 C4(631,809) = 6472 Sum = 4142.144697005573985 Averaged sum = 0.4138420118898565276 logp*logq = 43.16986361234831974 -------------- ************************************* p = 631; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.693078964217098474 E18 -------------- Searches starting with [631,811]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(631,811) = 0.6433289739621429608 D2(631,811) = 0.007200690875927248809 C1(631,811) = 0.9169369512313685473 C2(631,811) = 1.749728295348089866 C3(631,811) = 5.522666864975657613 C4(631,811) = 6488 Sum = 4022.397331687738363 Averaged sum = 0.4018780429301367133 logp*logq = 43.18578289417082576 -------------- ************************************* p = 631; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.161149149546253000 E18 -------------- Searches starting with [631,821]-exponents: u = 1, v = 24 n_start has 73 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(631,821) = 1.000185461452058000 D2(631,821) = 0.01494252627547877703 C1(631,821) = 1.474267518863157918 C2(631,821) = 1.774794084662547174 C3(631,821) = 15.60414939142351853 C4(631,821) = 6568 Sum = 4614.756111130439116 Averaged sum = 0.4610606565221739550 logp*logq = 43.26479498429093149 -------------- ************************************* p = 631; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.258560419405645848 E18 -------------- Searches starting with [631,823]-exponents: u = 1, v = 24 n_start has 73 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(631,823) = 0.5936281413484372825 D2(631,823) = 0.03788463071445958340 C1(631,823) = 0.8333467346655597393 C2(631,823) = 1.798095567111428911 C3(631,823) = 4.725989382150079068 C4(631,823) = 6584 Sum = 4079.940062234956911 Averaged sum = 0.4076271417958793996 logp*logq = 43.28048186760766079 -------------- ************************************* p = 631; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.457291256630413580 E18 -------------- Searches starting with [631,827]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(631,827) = 0.8721178005757590519 D2(631,827) = 0.08849466146888521585 C1(631,827) = 1.196928231070377243 C2(631,827) = 1.849421723797988454 C3(631,827) = 9.306099796817001113 C4(631,827) = 6616 Sum = 4028.225251653275831 Averaged sum = 0.4024603108855306055 logp*logq = 43.31174159363313153 -------------- ************************************* p = 631; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.558639117790270720 E18 -------------- Searches starting with [631,829]-exponents: u = 1, v = 23 n_start has 70 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(631,829) = 0.5407077421147937179 D2(631,829) = 0.1168870949805178449 C1(631,829) = 0.7748344661144769237 C2(631,829) = 1.878170913726192187 C3(631,829) = 4.237738779610279984 C4(631,829) = 6632 Sum = 4112.704510811053350 Averaged sum = 0.4109006405046511490 logp*logq = 43.32731480377140826 -------------- ************************************* p = 631; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.085779454039301521 E18 -------------- Searches starting with [631,839]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(631,839) = 0.5612447310084055887 D2(631,839) = 0.1062516226528695923 C1(631,839) = 0.8066233902704921758 C2(631,839) = 1.885870711248439423 C3(631,839) = 4.496384553594417285 C4(631,839) = 6712 Sum = 4066.052718964765086 Averaged sum = 0.4062396562058912065 logp*logq = 43.40462155566874071 -------------- ************************************* p = 631; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.883605275667964474 E18 -------------- Searches starting with [631,853]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(631,853) = 0.6005635021792710437 D2(631,853) = 0.1336009552829555952 C1(631,853) = 0.8377676675324577834 C2(631,853) = 1.933404690976000154 C3(631,853) = 4.765088253829152808 C4(631,853) = 6824 Sum = 4088.903783017979227 Averaged sum = 0.4085227078647196750 logp*logq = 43.51131699542408764 -------------- ************************************* p = 631; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.125020172571676660 E18 -------------- Searches starting with [631,857]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(631,857) = 0.8030838915066472902 D2(631,857) = 0.02654209942414038820 C1(631,857) = 1.287302566825807665 C2(631,857) = 1.846069635970168655 C3(631,857) = 11.01323051397941624 C4(631,857) = 6856 Sum = 2551.522942920165005 Averaged sum = 0.2549228637146732945 logp*logq = 43.54147988488359392 -------------- ************************************* p = 631; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.248050775465694956 E18 -------------- Searches starting with [631,859]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(631,859) = 0.7516959306936720885 D2(631,859) = 0.04655635369036422096 C1(631,859) = 1.011649455366379746 C2(631,859) = 1.866434692460969262 C3(631,859) = 6.588811604903564271 C4(631,859) = 6872 Sum = 3693.890941762858872 Averaged sum = 0.3690569429276510013 logp*logq = 43.55650857668282136 -------------- ************************************* p = 631; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.498839265224573540 E18 -------------- Searches starting with [631,863]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(631,863) = 0.6546143752430939548 D2(631,863) = 0.09004921051058864678 C1(631,863) = 0.9151752404349448522 C2(631,863) = 1.910626694436197428 C3(631,863) = 5.504564390509414162 C4(631,863) = 6904 Sum = 4015.040881317561092 Averaged sum = 0.4011430593783156251 logp*logq = 43.58646127103192950 -------------- ************************************* p = 631; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.427977377597640850 E18 -------------- Searches starting with [631,877]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(631,877) = 0.5646062094793809878 D2(631,877) = 0.07879817896783140550 C1(631,877) = 0.7916389737733648833 C2(631,877) = 1.922315126621535146 C3(631,877) = 4.372556058329911595 C4(631,877) = 7016 Sum = 3960.266883160432001 Averaged sum = 0.3956705847897324409 logp*logq = 43.69021325947269975 -------------- ************************************* p = 631; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.708685643662841456 E18 -------------- Searches starting with [631,881]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(631,881) = 0.6941488853852782674 D2(631,881) = 0.1235427093047245388 C1(631,881) = 1.008840891079512363 C2(631,881) = 1.967749232812513857 C3(631,881) = 6.554414444596471249 C4(631,881) = 7048 Sum = 3782.032642235415212 Averaged sum = 0.3778631873549220913 logp*logq = 43.71955258592813099 -------------- ************************************* p = 631; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.851666803372500001 E18 -------------- Searches starting with [631,883]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(631,883) = 0.5922551094503245725 D2(631,883) = 0.1381873016570925957 C1(631,883) = 0.8314175633359562330 C2(631,883) = 1.472486038317762739 C3(631,883) = 4.709028427578490306 C4(631,883) = 7064 Sum = 3804.417849354490110 Averaged sum = 0.3800996952097602267 logp*logq = 43.73417233337746219 -------------- ************************************* p = 631; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.014297223031786888 E19 -------------- Searches starting with [631,887]-exponents: u = 1, v = 18 n_start has 56 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(631,887) = 0.7744782238338146012 D2(631,887) = 0.01501211874230580231 C1(631,887) = 1.256285599514976822 C2(631,887) = 1.882459210616806492 C3(631,887) = 10.39465955490351984 C4(631,887) = 7096 Sum = 3502.084371626985132 Averaged sum = 0.3498935329830138008 logp*logq = 43.76331274846550917 -------------- ************************************* p = 631; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.171112997426258468 E19 -------------- Searches starting with [631,907]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(631,907) = 0.5772197541466878760 D2(631,907) = 0.02243017134180985367 C1(631,907) = 0.8263824692242509708 C2(631,907) = 1.917459089825288557 C3(631,907) = 4.665046923097387651 C4(631,907) = 7256 Sum = 3761.798561207392987 Averaged sum = 0.3758415986819255657 logp*logq = 43.90707134336810149 -------------- ************************************* p = 631; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.204814490328005246 E19 -------------- Searches starting with [631,911]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(631,911) = 0.8698712481529176277 D2(631,911) = 0.05544709433298752144 C1(631,911) = 1.186625630644130993 C2(631,911) = 1.951153034912540917 C3(631,911) = 9.129121865704725248 C4(631,911) = 7288 Sum = 3843.087466275960969 Averaged sum = 0.3839631797658068707 logp*logq = 43.93544237204271330 -------------- ************************************* p = 631; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.274680872972126216 E19 -------------- Searches starting with [631,919]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(631,919) = 0.6406797833075412671 D2(631,919) = 0.1172162253058404900 C1(631,919) = 0.8871638341353050857 C2(631,919) = 1.447681292243575034 C3(631,919) = 5.224576981130696523 C4(631,919) = 7352 Sum = 4028.180100238057949 Averaged sum = 0.4024557998039822109 logp*logq = 43.99181261845992259 -------------- ************************************* p = 631; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.366800449475985074 E19 -------------- Searches starting with [631,929]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(631,929) = 1.085672622208688865 D2(631,929) = 0.02120478921911998885 C1(631,929) = 1.595290020000045667 C2(631,929) = 1.946387504675203474 C3(631,929) = 19.55208526910690954 C4(631,929) = 7432 Sum = 4398.985419584074388 Averaged sum = 0.4395029892680661792 logp*logq = 44.06158933699859757 -------------- ************************************* p = 631; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.444488492115202157 E19 -------------- Searches starting with [631,937]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(631,937) = 0.5915020949267716008 D2(631,937) = 0.08442265587382324999 C1(631,937) = 0.8704927777304490912 C2(631,937) = 2.010935599036617699 C3(631,937) = 5.064749168181894725 C4(631,937) = 7496 Sum = 3568.014220285060714 Averaged sum = 0.3564805894979579093 logp*logq = 44.11687204108853008 -------------- ************************************* p = 631; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.484710609413813463 E19 -------------- Searches starting with [631,941]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(631,941) = 0.6193539957448787747 D2(631,941) = 0.1050073574972445528 C1(631,941) = 1.026829210023199618 C2(631,941) = 1.423836400419606696 C3(631,941) = 6.777870291845101071 C4(631,941) = 7528 Sum = 3968.850133900886299 Averaged sum = 0.3965281380658293834 logp*logq = 44.14433664433515809 -------------- ************************************* p = 631; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.546816045981797338 E19 -------------- Searches starting with [631,947]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(631,947) = 0.6387293016423408854 D2(631,947) = 0.1229088799132784445 C1(631,947) = 1.058879712276437228 C2(631,947) = 1.422432122679277457 C3(631,947) = 7.195056914827318178 C4(631,947) = 7576 Sum = 3924.471430073121231 Averaged sum = 0.3920942581749546639 logp*logq = 44.18531542124698216 -------------- ************************************* p = 631; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.611102321118508073 E19 -------------- Searches starting with [631,953]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(631,953) = 0.5694816586971939042 D2(631,953) = 0.008033804516532384438 C1(631,953) = 0.8407790216254104865 C2(631,953) = 1.966331072419787975 C3(631,953) = 4.791905812372412961 C4(631,953) = 7624 Sum = 3765.812158700996112 Averaged sum = 0.3762425975323205227 logp*logq = 44.22603538310481634 -------------- ************************************* p = 631; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.769936186518023654 E19 -------------- Searches starting with [631,967]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(631,967) = 0.6694449093779571176 D2(631,967) = 0.09090954407278844941 C1(631,967) = 1.119497562540507542 C2(631,967) = 1.382528356858476250 C3(631,967) = 8.055583518506842518 C4(631,967) = 7736 Sum = 3925.007856825632398 Averaged sum = 0.3921478526152095512 logp*logq = 44.32006026000801153 -------------- ************************************* p = 631; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.817674245124402664 E19 -------------- Searches starting with [631,971]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(631,971) = 0.8645324131228988308 D2(631,971) = 0.08646324052926623341 C1(631,971) = 1.445648715689483871 C2(631,971) = 1.241323238605686485 C3(631,971) = 14.79369504609136994 C4(631,971) = 7768 Sum = 3306.644007347093261 Averaged sum = 0.3303670703713750885 logp*logq = 44.34667456348705701 -------------- ************************************* p = 631; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.891318841419296483 E19 -------------- Searches starting with [631,977]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(631,977) = 0.9013412048073689460 D2(631,977) = 0.1149574778605172123 C1(631,977) = 1.306781958456202035 C2(631,977) = 1.829930053890403459 C3(631,977) = 11.42038975475405346 C4(631,977) = 7816 Sum = 4763.349714244650497 Averaged sum = 0.4759066554345739331 logp*logq = 44.38639115230216220 -------------- ************************************* p = 631; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.967468733935632019 E19 -------------- Searches starting with [631,983]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(631,983) = 0.6858825666732341498 D2(631,983) = 0.003925415691604569841 C1(631,983) = 0.9344895594270472880 C2(631,983) = 1.999438977466795744 C3(631,983) = 5.706312432265990754 C4(631,983) = 7864 Sum = 3662.222644714372352 Averaged sum = 0.3658929608067111951 logp*logq = 44.42586457680477754 -------------- ************************************* p = 631; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.073018783213663687 E19 -------------- Searches starting with [631,991]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(631,991) = 0.7080359966155684274 D2(631,991) = 0.05405326939260904648 C1(631,991) = 0.9904216937035968330 C2(631,991) = 2.050847771872208803 C3(631,991) = 6.333237881343853588 C4(631,991) = 7928 Sum = 4123.199645427675103 Averaged sum = 0.4119492102535393249 logp*logq = 44.47812266118400688 -------------- ************************************* p = 631; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.155285832549313061 E19 -------------- Searches starting with [631,997]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 44 left neighbors We generated 9966 right neighbors We generated 10009 non-negative rho_i D1(631,997) = 0.6832124381852268762 D2(631,997) = 0.07822320895183212580 C1(631,997) = 1.153472114162534533 C2(631,997) = 1.368489038159000910 C3(631,997) = 8.582133552869822593 C4(631,997) = 7976 Sum = 3912.618735566861304 Averaged sum = 0.3909100545076292640 logp*logq = 44.51704011856091575 -------------- ************************************* p = 641; q = 643; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.411075460458390859 E18 -------------- Searches starting with [641,643]-exponents: u = 1, v = 2074 n_start has 5828 digits --- performed 5000 steps in the continued fraction search [641,643]-exponents: u = 853, v = 1220 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(641,643) = 0.6556587600497098920 D2(641,643) = 0.4710755429631229139 C1(641,643) = 0.8158537139512827267 C2(641,643) = 1.370386876165786198 C3(641,643) = 4.583501005239693037 C4(641,643) = 5144 Sum = 6070.708873138901710 Averaged sum = 0.6071316004739375648 logp*logq = 41.79088382545991696 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(641,643) = 0.6556587600497098920 D2(641,643) = 0.4710755429631229139 C1(641,643) = 0.8158537139512827267 C2(641,643) = 1.370386876165786198 C3(641,643) = 4.583501005239693037 C4(641,643) = 5144 Sum = 6070.708873138901710 Averaged sum = 0.6071316004739375648 logp*logq = 41.79088382545991696 -------------- ************************************* p = 641; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.468781408008720860 E18 -------------- Searches starting with [641,647]-exponents: u = 1, v = 693 n_start has 1951 digits --- performed 5000 steps in the continued fraction search [641,647]-exponents: u = 170, v = 517 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(641,647) = 0.5992383458251840779 D2(641,647) = 0.2377392114651683634 C1(641,647) = 0.7701581189518440096 C2(641,647) = 1.257067396910061285 C3(641,647) = 4.208855053015826786 C4(641,647) = 5176 Sum = 5557.887432680252252 Averaged sum = 0.5558443277007953047 logp*logq = 41.83096475675066649 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(641,647) = 0.5992383458251840779 D2(641,647) = 0.2377392114651683634 C1(641,647) = 0.7701581189518440096 C2(641,647) = 1.257067396910061285 C3(641,647) = 4.208855053015826786 C4(641,647) = 5176 Sum = 5557.887432680252252 Averaged sum = 0.5558443277007953047 logp*logq = 41.83096475675066649 -------------- ************************************* p = 641; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.559074287883585285 E18 -------------- Searches starting with [641,653]-exponents: u = 1, v = 348 n_start has 983 digits --- performed 5000 steps in the continued fraction search [641,653]-exponents: u = 219, v = 116 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(641,653) = 0.6178616035684542315 D2(641,653) = 0.04761117966346971064 C1(641,653) = 0.8147833760374178279 C2(641,653) = 1.168561730430287692 C3(641,653) = 4.574355260458926138 C4(641,653) = 5224 Sum = 5169.407438960367674 Averaged sum = 0.5169924431403508025 logp*logq = 41.89062391381688779 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(641,653) = 0.6178616035684542315 D2(641,653) = 0.04761117966346971064 C1(641,653) = 0.8147833760374178279 C2(641,653) = 1.168561730430287692 C3(641,653) = 4.574355260458926138 C4(641,653) = 5224 Sum = 5169.407438960367674 Averaged sum = 0.5169924431403508025 logp*logq = 41.89062391381688779 -------------- ************************************* p = 641; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.654015100631815008 E18 -------------- Searches starting with [641,659]-exponents: u = 1, v = 233 n_start has 660 digits --- performed 5000 steps in the continued fraction search [641,659]-exponents: u = 105, v = 107 --- starting right neighbors generation We generated 5784 left neighbors We generated 4226 right neighbors We generated 10009 non-negative rho_i D1(641,659) = 0.6241339344093249017 D2(641,659) = 0.005087758279602300886 C1(641,659) = 0.8376312922855915963 C2(641,659) = 1.193291241088381474 C3(641,659) = 4.773607062346225027 C4(641,659) = 5272 Sum = 4887.199310465903236 Averaged sum = 0.4882804786158360711 logp*logq = 41.94973740021795116 -------------- ************************************* p = 641; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.686728204859622456 E18 -------------- Searches starting with [641,661]-exponents: u = 1, v = 210 n_start has 596 digits starting right neighbors generation We generated 4811 left neighbors We generated 5199 right neighbors We generated 10009 non-negative rho_i D1(641,661) = 0.6252059007765030486 D2(641,661) = 0.001778934847663700195 C1(641,661) = 0.8432044535035928167 C2(641,661) = 1.208033942170169131 C3(641,661) = 4.823511947690126331 C4(641,661) = 5288 Sum = 4800.687851545348201 Averaged sum = 0.4796371117539562594 logp*logq = 41.96932235295315974 -------------- ************************************* p = 641; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.894718365246479201 E18 -------------- Searches starting with [641,673]-exponents: u = 1, v = 132 n_start has 377 digits starting right neighbors generation We generated 1904 left neighbors We generated 8106 right neighbors We generated 10009 non-negative rho_i D1(641,673) = 0.6084884039992581494 D2(641,673) = 0.008324369008979413316 C1(641,673) = 0.8403251197610225869 C2(641,673) = 1.299701828023835377 C3(641,673) = 4.797664145865495608 C4(641,673) = 5384 Sum = 4640.697293991453018 Averaged sum = 0.4636524422011642540 logp*logq = 42.08560188145947465 -------------- ************************************* p = 641; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.968692769019416132 E18 -------------- Searches starting with [641,677]-exponents: u = 1, v = 118 n_start has 337 digits starting right neighbors generation We generated 1588 left neighbors We generated 8422 right neighbors We generated 10009 non-negative rho_i D1(641,677) = 0.6279058190354763333 D2(641,677) = 0.006852631508361379269 C1(641,677) = 0.8730844116630414374 C2(641,677) = 1.321806800614743563 C3(641,677) = 5.100105458551541083 C4(641,677) = 5416 Sum = 4217.469636716780418 Averaged sum = 0.4213677327122370285 logp*logq = 42.12390142735767286 -------------- ************************************* p = 641; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.084224521545779434 E18 -------------- Searches starting with [641,683]-exponents: u = 1, v = 101 n_start has 290 digits starting right neighbors generation We generated 1169 left neighbors We generated 8841 right neighbors We generated 10009 non-negative rho_i D1(641,683) = 0.7009463123400612450 D2(641,683) = 0.001717437396527543608 C1(641,683) = 0.9831709321347265484 C2(641,683) = 1.349188996953043419 C3(641,683) = 6.263213996958591496 C4(641,683) = 5464 Sum = 4687.142249056432989 Averaged sum = 0.4682927614203649704 logp*logq = 42.18092852784734798 -------------- ************************************* p = 641; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.247140683187962872 E18 -------------- Searches starting with [641,691]-exponents: u = 1, v = 86 n_start has 248 digits starting right neighbors generation We generated 912 left neighbors We generated 9098 right neighbors We generated 10009 non-negative rho_i D1(641,691) = 0.8911007892444429828 D2(641,691) = 0.004407310637651618567 C1(641,691) = 1.263451461372300473 C2(641,691) = 1.389545843185438648 C3(641,691) = 10.56687863841104544 C4(641,691) = 5528 Sum = 3840.324856657019419 Averaged sum = 0.3836871672152082544 logp*logq = 42.25619027447656890 -------------- ************************************* p = 641; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.465808675351708133 E18 -------------- Searches starting with [641,701]-exponents: u = 1, v = 72 n_start has 208 digits starting right neighbors generation We generated 629 left neighbors We generated 9381 right neighbors We generated 10009 non-negative rho_i D1(641,701) = 0.6290907068945131318 D2(641,701) = 0.01563718324034414933 C1(641,701) = 0.9027110420360579087 C2(641,701) = 1.441407613968637009 C3(641,701) = 5.390010959438732165 C4(641,701) = 5608 Sum = 3565.618134509149395 Averaged sum = 0.3562411963741781791 logp*logq = 42.34905149060957394 -------------- ************************************* p = 641; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.653448049675349888 E18 -------------- Searches starting with [641,709]-exponents: u = 1, v = 64 n_start has 186 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(641,709) = 0.7589012247235305176 D2(641,709) = 0.02737577143069539775 C1(641,709) = 1.098158772335499191 C2(641,709) = 1.481981336734679867 C3(641,709) = 7.762248666968196694 C4(641,709) = 5672 Sum = 3404.878660627533659 Averaged sum = 0.3401817025304759376 logp*logq = 42.42239161894867469 -------------- ************************************* p = 641; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.904845034859272522 E18 -------------- Searches starting with [641,719]-exponents: u = 1, v = 56 n_start has 163 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(641,719) = 0.5774190911144914341 D2(641,719) = 0.03117427152134196136 C1(641,719) = 0.8439366558707169398 C2(641,719) = 1.519825349613907754 C3(641,719) = 4.830107113340612448 C4(641,719) = 5752 Sum = 3567.582591403740843 Averaged sum = 0.3564374654214947390 logp*logq = 42.51291171849131766 -------------- ************************************* p = 641; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.120191068627029194 E18 -------------- Searches starting with [641,727]-exponents: u = 1, v = 51 n_start has 149 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(641,727) = 1.005661008208297325 D2(641,727) = 0.007565320601187604418 C1(641,727) = 1.376818301541456767 C2(641,727) = 1.524597125309049243 C3(641,727) = 13.05639568783316853 C4(641,727) = 5816 Sum = 4036.763832611920081 Averaged sum = 0.4033134012001119074 logp*logq = 42.58442591378368509 -------------- ************************************* p = 641; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.290420371140433907 E18 -------------- Searches starting with [641,733]-exponents: u = 1, v = 48 n_start has 141 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(641,733) = 0.6752397809476895442 D2(641,733) = 0.04978572023518185963 C1(641,733) = 0.9041204046294494332 C2(641,733) = 1.579824931796572217 C3(641,733) = 5.404205394055091503 C4(641,733) = 5864 Sum = 2947.808234794230681 Averaged sum = 0.2945157592960566171 logp*logq = 42.63754700289101777 -------------- ************************************* p = 641; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.468434574610415230 E18 -------------- Searches starting with [641,739]-exponents: u = 1, v = 45 n_start has 132 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(641,739) = 0.6069086039512513583 D2(641,739) = 0.02329833548858484755 C1(641,739) = 0.8567764851283791205 C2(641,739) = 1.573744844207686960 C3(641,739) = 4.947235946125472928 C4(641,739) = 5912 Sum = 4101.128972542068310 Averaged sum = 0.4097441275394213518 logp*logq = 42.69023503482508742 -------------- ************************************* p = 641; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.591577761608952845 E18 -------------- Searches starting with [641,743]-exponents: u = 1, v = 43 n_start has 127 digits starting right neighbors generation We generated 214 left neighbors We generated 9796 right neighbors We generated 10009 non-negative rho_i D1(641,743) = 0.5914931131995717880 D2(641,743) = 0.05294090763656137191 C1(641,743) = 0.8814542577862851341 C2(641,743) = 1.610992186728678959 C3(641,743) = 5.180389114853992068 C4(641,743) = 5944 Sum = 4044.504032787059654 Averaged sum = 0.4040867252260025630 logp*logq = 42.72512326775984048 -------------- ************************************* p = 641; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.848979698034156080 E18 -------------- Searches starting with [641,751]-exponents: u = 1, v = 40 n_start has 118 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(641,751) = 0.6206996690561309750 D2(641,751) = 0.03435414550811084697 C1(641,751) = 0.9305950400074014127 C2(641,751) = 1.615973921778640009 C3(641,751) = 5.677901417033716542 C4(641,751) = 6008 Sum = 4046.174750090726741 Averaged sum = 0.4042536467270183576 logp*logq = 42.79433977357261102 -------------- ************************************* p = 641; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.052112352635647409 E18 -------------- Searches starting with [641,757]-exponents: u = 1, v = 38 n_start has 113 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(641,757) = 0.6693380666479057846 D2(641,757) = 0.01954003993964213040 C1(641,757) = 1.007936969874878994 C2(641,757) = 1.618407989203460577 C3(641,757) = 6.559466864253013496 C4(641,757) = 6056 Sum = 4134.845412874879795 Averaged sum = 0.4131127398216484958 logp*logq = 42.84576998759368083 -------------- ************************************* p = 641; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.192508129770677965 E18 -------------- Searches starting with [641,761]-exponents: u = 1, v = 37 n_start has 110 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(641,761) = 0.9275480223852220323 D2(641,761) = 0.02468709168293768595 C1(641,761) = 1.291671893407666241 C2(641,761) = 1.632846410802598595 C3(641,761) = 11.13826579676959464 C4(641,761) = 6088 Sum = 4312.577358799389289 Averaged sum = 0.4308699529223088510 logp*logq = 42.87983082772857289 -------------- ************************************* p = 641; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.485666118735312624 E18 -------------- Searches starting with [641,769]-exponents: u = 1, v = 35 n_start has 104 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(641,769) = 1.313022766971300038 D2(641,769) = 0.02155113995093211289 C1(641,769) = 1.884110644250783100 C2(641,769) = 1.649379570803852701 C3(641,769) = 33.64738744846198144 C4(641,769) = 6152 Sum = 5605.592744090312535 Averaged sum = 0.5600552247067951378 logp*logq = 42.94741867983251093 -------------- ************************************* p = 641; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.638623737157877175 E18 -------------- Searches starting with [641,773]-exponents: u = 1, v = 34 n_start has 102 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(641,773) = 0.8387665150400327111 D2(641,773) = 0.01331839580380770658 C1(641,773) = 1.205959306854427698 C2(641,773) = 1.651580828087428253 C3(641,773) = 9.491896631399997490 C4(641,773) = 6184 Sum = 4526.620308139871707 Averaged sum = 0.4522550013128056456 logp*logq = 42.98094938776287601 -------------- ************************************* p = 641; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.209187643729572132 E18 -------------- Searches starting with [641,787]-exponents: u = 1, v = 31 n_start has 93 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(641,787) = 1.080244520804612424 D2(641,787) = 0.07633399777191067873 C1(641,787) = 1.563151876222894292 C2(641,787) = 1.737920190405150642 C3(641,787) = 18.48565168093894955 C4(641,787) = 6296 Sum = 5014.947602435872833 Averaged sum = 0.5010438208048629066 logp*logq = 43.09695559499220041 -------------- ************************************* p = 641; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.652109919538970813 E18 -------------- Searches starting with [641,797]-exponents: u = 1, v = 29 n_start has 87 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(641,797) = 0.9289905570446028210 D2(641,797) = 0.04557793263450514099 C1(641,797) = 1.312376300969058587 C2(641,797) = 1.731844845483074238 C3(641,797) = 11.57703050029102856 C4(641,797) = 6376 Sum = 4437.771812581481746 Averaged sum = 0.4433781409313099956 logp*logq = 43.17856058642744099 -------------- ************************************* p = 641; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.225252256571405701 E18 -------------- Searches starting with [641,809]-exponents: u = 1, v = 27 n_start has 82 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(641,809) = 0.6371216108804593423 D2(641,809) = 0.01977818091240897740 C1(641,809) = 0.8876913544759448198 C2(641,809) = 1.733573128095394715 C3(641,809) = 5.241036094940263755 C4(641,809) = 6472 Sum = 4032.291674273514589 Averaged sum = 0.4028665874986027165 logp*logq = 43.27514563856655412 -------------- ************************************* p = 641; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.325392387291554769 E18 -------------- Searches starting with [641,811]-exponents: u = 1, v = 27 n_start has 82 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(641,811) = 0.7465536514140229543 D2(641,811) = 0.04609986362169509838 C1(641,811) = 1.091130632010573420 C2(641,811) = 1.760253602980516156 C3(641,811) = 7.661109902410236755 C4(641,811) = 6488 Sum = 4107.764323685909731 Averaged sum = 0.4104070660091827087 logp*logq = 43.29110374409861045 -------------- ************************************* p = 641; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.846768943024929121 E18 -------------- Searches starting with [641,821]-exponents: u = 1, v = 26 n_start has 79 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(641,821) = 0.6886840810626898005 D2(641,821) = 0.07376548066863188835 C1(641,821) = 0.9224686359767385441 C2(641,821) = 1.803484173839451044 C3(641,821) = 5.592447506840476245 C4(641,821) = 6568 Sum = 3336.138213323657283 Averaged sum = 0.3333138388773760898 logp*logq = 43.37030852773793320 -------------- ************************************* p = 641; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.955286334382872332 E18 -------------- Searches starting with [641,823]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(641,823) = 0.7615762225656452408 D2(641,823) = 0.1032637360735745347 C1(641,823) = 1.032977490499663868 C2(641,823) = 1.833337803701736518 C3(641,823) = 6.873252287617670579 C4(641,823) = 6584 Sum = 3777.189973355210250 Averaged sum = 0.3773793559151973473 logp*logq = 43.38603366799416699 -------------- ************************************* p = 641; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.176687717131937634 E18 -------------- Searches starting with [641,827]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(641,827) = 0.5821538663668910641 D2(641,827) = 0.03745722519927739276 C1(641,827) = 0.8307823068330762594 C2(641,827) = 1.782854061017903946 C3(641,827) = 4.712984397939392288 C4(641,827) = 6616 Sum = 4107.182288477745721 Averaged sum = 0.4103489148244325827 logp*logq = 43.41736962977809510 -------------- ************************************* p = 641; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.289603432731129916 E18 -------------- Searches starting with [641,829]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(641,829) = 0.6609415854613464870 D2(641,829) = 0.06265979988554189947 C1(641,829) = 1.039523622440392709 C2(641,829) = 1.808411353601190434 C3(641,829) = 6.957728967461910209 C4(641,829) = 6632 Sum = 3573.695051134826468 Averaged sum = 0.3570481617678915443 logp*logq = 43.43298081963140645 -------------- ************************************* p = 641; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.876978822558462924 E18 -------------- Searches starting with [641,839]-exponents: u = 1, v = 24 n_start has 73 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(641,839) = 1.164374955330831633 D2(641,839) = 0.06634127835441367709 C1(641,839) = 1.839408500904083270 C2(641,839) = 1.829395980829241566 C3(641,839) = 30.95445177636730464 C4(641,839) = 6712 Sum = 1949.645220523171822 Averaged sum = 0.1947892117617316237 logp*logq = 43.51047610609426792 -------------- ************************************* p = 641; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.766170739007410633 E18 -------------- Searches starting with [641,853]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(641,853) = 0.5385742625696177781 D2(641,853) = 0.1070732942506568038 C1(641,853) = 0.7492442521041562962 C2(641,853) = 1.889150985052822052 C3(641,853) = 4.047758711134931327 C4(641,853) = 6824 Sum = 4089.691737456640002 Averaged sum = 0.4086014324564531923 logp*logq = 43.61743175311333378 -------------- ************************************* p = 641; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.035276524431239463 E18 -------------- Searches starting with [641,857]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(641,857) = 0.8053387964674059558 D2(641,857) = 0.01591965038726880803 C1(641,857) = 1.136902269439353151 C2(641,857) = 1.816422794063971743 C3(641,857) = 8.344237974315126424 C4(641,857) = 6856 Sum = 4396.758020908544451 Averaged sum = 0.4392804496861369218 logp*logq = 43.64766820338246895 -------------- ************************************* p = 641; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.172426581708056635 E18 -------------- Searches starting with [641,859]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(641,859) = 0.7604775911157392186 D2(641,859) = 0.03621955541464787069 C1(641,859) = 1.009282002562157000 C2(641,859) = 1.837071171880143665 C3(641,859) = 6.575951562905471817 C4(641,859) = 6872 Sum = 3038.549336436895695 Averaged sum = 0.3035817101045954336 logp*logq = 43.66273354693344248 -------------- ************************************* p = 641; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.452011874119915865 E18 -------------- Searches starting with [641,863]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(641,863) = 0.6087737831557742158 D2(641,863) = 0.08034842163929153646 C1(641,863) = 0.8606175032775561608 C2(641,863) = 1.881894540378642549 C3(641,863) = 4.982823722093646066 C4(641,863) = 6904 Sum = 4131.053106444540229 Averaged sum = 0.4127338501792926595 logp*logq = 43.69275928947144663 -------------- ************************************* p = 641; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.048800929631657535 E19 -------------- Searches starting with [641,877]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(641,877) = 0.5497469820958247011 D2(641,877) = 0.08546215697601187483 C1(641,877) = 0.7688545311153452071 C2(641,877) = 1.908461221753756661 C3(641,877) = 4.198628939146330481 C4(641,877) = 7016 Sum = 4075.038382865912377 Averaged sum = 0.4071374146134391424 logp*logq = 43.79676430673031326 -------------- ************************************* p = 641; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.080105172798052112 E19 -------------- Searches starting with [641,881]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(641,881) = 0.7533236940810941138 D2(641,881) = 0.1335208924789884003 C1(641,881) = 1.091341362354521088 C2(641,881) = 1.957204694305773150 C3(641,881) = 7.664123176579472789 C4(641,881) = 7048 Sum = 3928.140890398424544 Averaged sum = 0.3924608742530147411 logp*logq = 43.82617518550207433 -------------- ************************************* p = 641; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.096051109823130924 E19 -------------- Searches starting with [641,883]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(641,883) = 0.5771664622750161731 D2(641,883) = 0.1455183430094289752 C1(641,883) = 0.9309816237090019524 C2(641,883) = 1.469515960569225226 C3(641,883) = 5.681998950729897356 C4(641,883) = 7064 Sum = 3977.799486229705144 Averaged sum = 0.3974222685812473917 logp*logq = 43.84083058737570684 -------------- ************************************* p = 641; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.128540610385105495 E19 -------------- Searches starting with [641,887]-exponents: u = 1, v = 19 n_start has 59 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(641,887) = 0.6895422566089362924 D2(641,887) = 0.03329232972124713314 C1(641,887) = 1.112187701145074283 C2(641,887) = 1.878527331971658938 C3(641,887) = 7.968142683472289085 C4(641,887) = 7096 Sum = 3823.155559567164721 Averaged sum = 0.3819717813534983236 logp*logq = 43.87004206967797667 -------------- ************************************* p = 641; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.303475937145120028 E19 -------------- Searches starting with [641,907]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(641,907) = 0.5232054657019077160 D2(641,907) = 0.05932183826134747825 C1(641,907) = 0.7361544285068773208 C2(641,907) = 1.930172632817679263 C3(641,907) = 3.950082352749060936 C4(641,907) = 7256 Sum = 4057.797981058209060 Averaged sum = 0.4054149246736146528 logp*logq = 44.01415126092003258 -------------- ************************************* p = 641; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.341079267852628938 E19 -------------- Searches starting with [641,911]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(641,911) = 0.5766234789515182968 D2(641,911) = 0.09792117620469858002 C1(641,911) = 0.8118374674362659028 C2(641,911) = 1.969443642511845743 C3(641,911) = 4.549277401477523973 C4(641,911) = 7288 Sum = 4075.042182869381345 Averaged sum = 0.4071377942720932505 logp*logq = 44.04259148044063780 -------------- ************************************* p = 641; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.419042622743029163 E19 -------------- Searches starting with [641,919]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(641,919) = 0.7950642745713503827 D2(641,919) = 0.1197741512608947816 C1(641,919) = 1.298952449390394319 C2(641,919) = 1.293313551898278904 C3(641,919) = 11.29062551530385478 C4(641,919) = 7352 Sum = 3429.975609713288637 Averaged sum = 0.3426891407446586709 logp*logq = 44.09909920178282062 -------------- ************************************* p = 641; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.521853993060792385 E19 -------------- Searches starting with [641,929]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(641,929) = 0.5401013736124391631 D2(641,929) = 0.07850372447606819858 C1(641,929) = 0.7629985479113488462 C2(641,929) = 1.977219712058044097 C3(641,929) = 4.152996780514652404 C4(641,929) = 7432 Sum = 3983.136935885569284 Averaged sum = 0.3979555336083094498 logp*logq = 44.16904609075280800 -------------- ************************************* p = 641; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.608572034910379941 E19 -------------- Searches starting with [641,937]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(641,937) = 0.9914284929833523731 D2(641,937) = 0.09405210460182765333 C1(641,937) = 1.631537135515014606 C2(641,937) = 1.180084452680206589 C3(641,937) = 21.00180640189142128 C4(641,937) = 7496 Sum = 1373.870194526065345 Averaged sum = 0.1372634823185198667 logp*logq = 44.22446361748553771 -------------- ************************************* p = 641; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.653473842952386740 E19 -------------- Searches starting with [641,941]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(641,941) = 0.8936325304004078773 D2(641,941) = 0.1416691130654148145 C1(641,941) = 1.250505760141745413 C2(641,941) = 1.807257558216523927 C3(641,941) = 10.31466328892262768 C4(641,941) = 7528 Sum = 4127.865305943513253 Averaged sum = 0.4124153567732553955 logp*logq = 44.25199520100120362 -------------- ************************************* p = 641; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.722810811059865747 E19 -------------- Searches starting with [641,947]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(641,947) = 0.5860780814993882022 D2(641,947) = 0.03800400259493361615 C1(641,947) = 0.8021101441299814267 C2(641,947) = 1.966163756942826681 C3(641,947) = 4.467443259868112822 C4(641,947) = 7576 Sum = 3853.616689672366903 Averaged sum = 0.3850151553274419925 logp*logq = 44.29307391634933973 -------------- ************************************* p = 641; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.794589703835896791 E19 -------------- Searches starting with [641,953]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(641,953) = 0.5347551675804523648 D2(641,953) = 0.08566189162878670501 C1(641,953) = 0.7873099851293048969 C2(641,953) = 2.014801357373531806 C3(641,953) = 4.345747226401613343 C4(641,953) = 7624 Sum = 3841.971354881505440 Averaged sum = 0.3838516689860630873 logp*logq = 44.33389318544915222 -------------- ************************************* p = 641; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.971965186159988936 E19 -------------- Searches starting with [641,967]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(641,967) = 0.6588154553607331443 D2(641,967) = 0.1276551363650908949 C1(641,967) = 0.9169787720259249512 C2(641,967) = 1.818120921423006937 C3(641,967) = 5.535447449709387718 C4(641,967) = 7736 Sum = 4058.335197875338165 Averaged sum = 0.4054685980492894560 logp*logq = 44.42814736883439190 -------------- ************************************* p = 641; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.025283745540661365 E19 -------------- Searches starting with [641,971]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(641,971) = 0.5483798747910530144 D2(641,971) = 0.01983681196551498507 C1(641,971) = 0.7636552006833362425 C2(641,971) = 1.981062863099220441 C3(641,971) = 4.158088892859289272 C4(641,971) = 7768 Sum = 3883.566870478799298 Averaged sum = 0.3880074803155958935 logp*logq = 44.45482657888395199 -------------- ************************************* p = 641; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.107543942146961280 E19 -------------- Searches starting with [641,977]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(641,977) = 1.074223738083639091 D2(641,977) = 0.06143734883256391364 C1(641,977) = 1.589306691086991395 C2(641,977) = 2.023627540198858056 C3(641,977) = 19.41026982352042404 C4(641,977) = 7816 Sum = 5082.861187506006430 Averaged sum = 0.5078290725852738965 logp*logq = 44.49464002792966802 -------------- ************************************* p = 641; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.192610740460275800 E19 -------------- Searches starting with [641,983]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(641,983) = 0.6434299026253458958 D2(641,983) = 0.09200050802931962490 C1(641,983) = 1.076566646705467394 C2(641,983) = 1.405634107046027836 C3(641,983) = 7.455701508815612076 C4(641,983) = 7864 Sum = 3958.289929156036309 Averaged sum = 0.3954730671551639833 logp*logq = 44.53420971963735785 -------------- ************************************* p = 641; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.310533576537228500 E19 -------------- Searches starting with [641,991]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(641,991) = 0.9526509976982005111 D2(641,991) = 0.1157166326629601680 C1(641,991) = 1.343030826132532512 C2(641,991) = 1.832669759716912064 C3(641,991) = 12.25859543262920892 C4(641,991) = 7928 Sum = 4138.151846551551620 Averaged sum = 0.4134430858778650835 logp*logq = 44.58659525026147539 -------------- ************************************* p = 641; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.402454329413283645 E19 -------------- Searches starting with [641,997]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(641,997) = 0.5628166077922758859 D2(641,997) = 0.1124570312879831776 C1(641,997) = 0.7803412439359036251 C2(641,997) = 1.830426397828704051 C3(641,997) = 4.289599460113682037 C4(641,997) = 7976 Sum = 3879.399407452031128 Averaged sum = 0.3875911087473305153 logp*logq = 44.62560761895903829 -------------- ************************************* p = 643; q = 647; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.498697161561205888 E18 -------------- Searches starting with [643,647]-exponents: u = 1, v = 1042 n_start has 2932 digits --- performed 5000 steps in the continued fraction search [643,647]-exponents: u = 838, v = 201 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(643,647) = 0.6230000388847781190 D2(643,647) = 0.3288748304614275614 C1(643,647) = 0.7903242937516302084 C2(643,647) = 1.299705933181880117 C3(643,647) = 4.371925669812149148 C4(643,647) = 5176 Sum = 5762.267572701725116 Averaged sum = 0.5762843857087433859 logp*logq = 41.85112784562590336 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(643,647) = 0.6230000388847781190 D2(643,647) = 0.3288748304614275614 C1(643,647) = 0.7903242937516302084 C2(643,647) = 1.299705933181880117 C3(643,647) = 4.371925669812149148 C4(643,647) = 5176 Sum = 5762.267572701725116 Averaged sum = 0.5762843857087433859 logp*logq = 41.85112784562590336 -------------- ************************************* p = 643; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.590874850437254756 E18 -------------- Searches starting with [643,653]-exponents: u = 1, v = 418 n_start has 1180 digits --- performed 5000 steps in the continued fraction search [643,653]-exponents: u = 50, v = 357 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(643,653) = 0.5306150204731880773 D2(643,653) = 0.1022497093406205804 C1(643,653) = 0.6962372507826768708 C2(643,653) = 1.193124162190537840 C3(643,653) = 3.667765313897459763 C4(643,653) = 5224 Sum = 5277.745814578408843 Averaged sum = 0.5278273641942603103 logp*logq = 41.91081575921000903 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(643,653) = 0.5306150204731880773 D2(643,653) = 0.1022497093406205804 C1(643,653) = 0.6962372507826768708 C2(643,653) = 1.193124162190537840 C3(643,653) = 3.667765313897459763 C4(643,653) = 5224 Sum = 5277.745814578408843 Averaged sum = 0.5278273641942603103 logp*logq = 41.91081575921000903 -------------- ************************************* p = 643; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.687800269159883116 E18 -------------- Searches starting with [643,659]-exponents: u = 1, v = 263 n_start has 745 digits --- performed 5000 steps in the continued fraction search [643,659]-exponents: u = 174, v = 71 --- starting right neighbors generation We generated 7514 left neighbors We generated 2496 right neighbors We generated 10009 non-negative rho_i D1(643,659) = 0.8405355090095498072 D2(643,659) = 0.0008260485709561046127 C1(643,659) = 1.121909515312643604 C2(643,659) = 1.170022829140110674 C3(643,659) = 8.118406832052839565 C4(643,659) = 5272 Sum = 4984.896754754960303 Averaged sum = 0.4980414381811330105 logp*logq = 41.96995773910834077 -------------- ************************************* p = 643; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.721197824713760963 E18 -------------- Searches starting with [643,661]-exponents: u = 1, v = 234 n_start has 663 digits --- performed 5000 steps in the continued fraction search [643,661]-exponents: u = 83, v = 130 --- starting right neighbors generation We generated 5810 left neighbors We generated 4200 right neighbors We generated 10009 non-negative rho_i D1(643,661) = 0.7070686888180061777 D2(643,661) = 0.006992321295228925424 C1(643,661) = 0.9488088732905912166 C2(643,661) = 1.194753029421743999 C3(643,661) = 5.876890085437568415 C4(643,661) = 5288 Sum = 4890.037519071051087 Averaged sum = 0.4885640442672645706 logp*logq = 41.98955213205476403 -------------- ************************************* p = 643; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.933546796879601379 E18 -------------- Searches starting with [643,673]-exponents: u = 1, v = 141 n_start has 402 digits starting right neighbors generation We generated 2167 left neighbors We generated 7843 right neighbors We generated 10009 non-negative rho_i D1(643,673) = 0.6867906086983550249 D2(643,673) = 0.005492732944030713306 C1(643,673) = 0.9451000566175209300 C2(643,673) = 1.284362864365225988 C3(643,673) = 5.836346032807738203 C4(643,673) = 5384 Sum = 4722.304374541960064 Averaged sum = 0.4718058122231951308 logp*logq = 42.10588770886121442 -------------- ************************************* p = 643; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.009074245837637054 E18 -------------- Searches starting with [643,677]-exponents: u = 1, v = 125 n_start has 357 digits starting right neighbors generation We generated 1686 left neighbors We generated 8324 right neighbors We generated 10009 non-negative rho_i D1(643,677) = 0.5465195956025152998 D2(643,677) = 0.01538701522733358155 C1(643,677) = 0.7574521170959607175 C2(643,677) = 1.317604005825517006 C3(643,677) = 4.111734747882268055 C4(643,677) = 5416 Sum = 4277.825221277585498 Averaged sum = 0.4273978640501134477 logp*logq = 42.14420571565679612 -------------- ************************************* p = 643; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.127034231929898891 E18 -------------- Searches starting with [643,683]-exponents: u = 1, v = 107 n_start has 307 digits starting right neighbors generation We generated 1338 left neighbors We generated 8672 right neighbors We generated 10009 non-negative rho_i D1(643,683) = 0.7241686522208956699 D2(643,683) = 0.006469478808253014958 C1(643,683) = 1.012866745081638078 C2(643,683) = 1.342749727866323318 C3(643,683) = 6.623320771039869080 C4(643,683) = 5464 Sum = 4105.232099491684316 Averaged sum = 0.4101540712850119208 logp*logq = 42.20126030397760678 -------------- ************************************* p = 643; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.293379866945109058 E18 -------------- Searches starting with [643,691]-exponents: u = 1, v = 89 n_start has 256 digits starting right neighbors generation We generated 864 left neighbors We generated 9146 right neighbors We generated 10009 non-negative rho_i D1(643,691) = 0.6749925697613351284 D2(643,691) = 0.01926955947111833450 C1(643,691) = 0.9543024597030162328 C2(643,691) = 1.393223869018804029 C3(643,691) = 5.937463035988945241 C4(643,691) = 5528 Sum = 4635.509059993612055 Averaged sum = 0.4631340853225708917 logp*logq = 42.27655832778319728 -------------- ************************************* p = 643; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.516660012076421582 E18 -------------- Searches starting with [643,701]-exponents: u = 1, v = 74 n_start has 214 digits starting right neighbors generation We generated 647 left neighbors We generated 9363 right neighbors We generated 10009 non-negative rho_i D1(643,701) = 0.7254653295321175294 D2(643,701) = 0.004412648496751107601 C1(643,701) = 1.038146580705596196 C2(643,701) = 1.423081725992123321 C3(643,701) = 6.943345426878929559 C4(643,701) = 5608 Sum = 4741.379436365878592 Averaged sum = 0.4737116031937135170 logp*logq = 42.36946430427410563 -------------- ************************************* p = 643; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.708264732398178688 E18 -------------- Searches starting with [643,709]-exponents: u = 1, v = 66 n_start has 191 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(643,709) = 0.6674710307095280581 D2(643,709) = 0.03148251154819732683 C1(643,709) = 0.9637827986041454350 C2(643,709) = 1.477836064902352543 C3(643,709) = 6.043466404727050133 C4(643,709) = 5672 Sum = 3438.791033591568797 Averaged sum = 0.3435698904577449093 logp*logq = 42.44283978354365758 -------------- ************************************* p = 643; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.964984607692952601 E18 -------------- Searches starting with [643,719]-exponents: u = 1, v = 57 n_start has 166 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(643,719) = 0.7241260463321079375 D2(643,719) = 0.01266501611111063423 C1(643,719) = 1.055610246935068539 C2(643,719) = 1.496362026447477948 C3(643,719) = 7.173409320209120715 C4(643,719) = 5752 Sum = 4656.742587376730984 Averaged sum = 0.4652555287617874896 logp*logq = 42.53340351499445010 -------------- ************************************* p = 643; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.184898776499033699 E18 -------------- Searches starting with [643,727]-exponents: u = 1, v = 52 n_start has 152 digits starting right neighbors generation We generated 308 left neighbors We generated 9702 right neighbors We generated 10009 non-negative rho_i D1(643,727) = 0.5407614596882579505 D2(643,727) = 0.04474810568905026340 C1(643,727) = 0.7938019699644015908 C2(643,727) = 1.550564195456417784 C3(643,727) = 4.400397729174341874 C4(643,727) = 5816 Sum = 4275.843444871308397 Averaged sum = 0.4271998646089827552 logp*logq = 42.60495218109292745 -------------- ************************************* p = 643; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.358744358785515768 E18 -------------- Searches starting with [643,733]-exponents: u = 1, v = 49 n_start has 144 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(643,733) = 0.6640883334982501709 D2(643,733) = 0.04585850753677329696 C1(643,733) = 0.9111498262305554682 C2(643,733) = 1.569858277436728744 C3(643,733) = 5.477967284092345763 C4(643,733) = 5864 Sum = 4039.540035388929910 Averaged sum = 0.4035907718442331811 logp*logq = 42.65809887528125811 -------------- ************************************* p = 643; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.540544856841570609 E18 -------------- Searches starting with [643,739]-exponents: u = 1, v = 46 n_start has 135 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(643,739) = 0.7337084096296050614 D2(643,739) = 0.02637469664761959134 C1(643,739) = 1.034446774081208161 C2(643,739) = 1.570179717849873527 C3(643,739) = 6.895559978313749026 C4(643,739) = 5912 Sum = 4300.058943989353064 Averaged sum = 0.4296192370855583039 logp*logq = 42.71081230355693083 -------------- ************************************* p = 643; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.666309899270789109 E18 -------------- Searches starting with [643,743]-exponents: u = 1, v = 44 n_start has 130 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(643,743) = 0.5677450287073373060 D2(643,743) = 0.003261869264129827941 C1(643,743) = 0.8445381364437152739 C2(643,743) = 1.561313148356247414 C3(643,743) = 4.837499943010802598 C4(643,743) = 5944 Sum = 4105.193491350470382 Averaged sum = 0.4101502139424987892 logp*logq = 42.74571735309023604 -------------- ************************************* p = 643; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.929198842773819915 E18 -------------- Searches starting with [643,751]-exponents: u = 1, v = 41 n_start has 121 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(643,751) = 0.6974568944460498722 D2(643,751) = 0.04926245555307343548 C1(643,751) = 0.9657691394329890549 C2(643,751) = 1.623252015289964946 C3(643,751) = 6.065915139144557852 C4(643,751) = 6008 Sum = 4208.665978593139400 Averaged sum = 0.4204881585166489559 logp*logq = 42.81496722219181552 -------------- ************************************* p = 643; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.136667667028908149 E18 -------------- Searches starting with [643,757]-exponents: u = 1, v = 39 n_start has 116 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(643,757) = 0.5537560759475770436 D2(643,757) = 0.03973449919804337154 C1(643,757) = 0.7689154269613198396 C2(643,757) = 1.630375729845898293 C3(643,757) = 4.200662306439011222 C4(643,757) = 6056 Sum = 4185.801093976877266 Averaged sum = 0.4182037260442479034 logp*logq = 42.86642222626929950 -------------- ************************************* p = 643; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.280063347472212039 E18 -------------- Searches starting with [643,761]-exponents: u = 1, v = 38 n_start has 113 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(643,761) = 0.5717233938604808806 D2(643,761) = 0.04879588234802941007 C1(643,761) = 0.7954174948777247138 C2(643,761) = 1.648398013507562128 C3(643,761) = 4.413687184683596464 C4(643,761) = 6088 Sum = 4093.169326404257380 Averaged sum = 0.4089488786496410610 logp*logq = 42.90049948418826131 -------------- ************************************* p = 643; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.579492758873945245 E18 -------------- Searches starting with [643,769]-exponents: u = 1, v = 36 n_start has 107 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(643,769) = 0.6781165782876523075 D2(643,769) = 0.05280600422756725336 C1(643,769) = 1.028662948686892519 C2(643,769) = 1.671341783057481240 C3(643,769) = 6.821516104870869971 C4(643,769) = 6152 Sum = 2813.941951919054501 Averaged sum = 0.2811411681405789290 logp*logq = 42.96811991454796712 -------------- ************************************* p = 643; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.735726329892511167 E18 -------------- Searches starting with [643,773]-exponents: u = 1, v = 35 n_start has 104 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(643,773) = 0.7030447704764474765 D2(643,773) = 0.04753140200506575821 C1(643,773) = 1.069255500650838703 C2(643,773) = 1.676090686955067136 C3(643,773) = 7.358462401338849176 C4(643,773) = 6184 Sum = 2581.687886396423650 Averaged sum = 0.2579366456585496703 logp*logq = 43.00166678473153340 -------------- ************************************* p = 643; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.318531517067251718 E18 -------------- Searches starting with [643,787]-exponents: u = 1, v = 31 n_start has 93 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(643,787) = 1.407035833392414720 D2(643,787) = 0.03480402281233535502 C1(643,787) = 2.158169639372178932 C2(643,787) = 1.696390215445575318 C3(643,787) = 56.17076455866720831 C4(643,787) = 6296 Sum = 6566.421557631149596 Averaged sum = 0.6560517092248126282 logp*logq = 43.11772890851645354 -------------- ************************************* p = 643; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.770977983884246934 E18 -------------- Searches starting with [643,797]-exponents: u = 1, v = 30 n_start has 90 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(643,797) = 0.6947732478418039611 D2(643,797) = 0.009420679359347077352 C1(643,797) = 1.072438227159733822 C2(643,797) = 1.695687592207916175 C3(643,797) = 7.402307766253003065 C4(643,797) = 6376 Sum = 3005.159011199079595 Averaged sum = 0.3002456800079008488 logp*logq = 43.19937323465756427 -------------- ************************************* p = 643; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.356469849875375117 E18 -------------- Searches starting with [643,809]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(643,809) = 0.6326474319291656582 D2(643,809) = 0.08627865488600543829 C1(643,809) = 0.9833603350278277808 C2(643,809) = 1.787046126734183266 C3(643,809) = 6.268397842822392206 C4(643,809) = 6472 Sum = 3591.885653799090792 Averaged sum = 0.3588655863521921063 logp*logq = 43.29600484209373127 -------------- ************************************* p = 643; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.458770442852441348 E18 -------------- Searches starting with [643,811]-exponents: u = 1, v = 27 n_start has 82 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(643,811) = 0.6467944360839915665 D2(643,811) = 0.01193282393438345336 C1(643,811) = 1.005329491859510143 C2(643,811) = 1.726086563293204511 C3(643,811) = 6.530790447859263078 C4(643,811) = 6488 Sum = 3859.130461413824131 Averaged sum = 0.3855660367083449027 logp*logq = 43.31197063964776210 -------------- ************************************* p = 643; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.991407724476729067 E18 -------------- Searches starting with [643,821]-exponents: u = 1, v = 26 n_start has 79 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(643,821) = 0.6663267365970156977 D2(643,821) = 0.03808049633108933859 C1(643,821) = 0.9766957883871388933 C2(643,821) = 1.767799189501908495 C3(643,821) = 6.190902555149541927 C4(643,821) = 6568 Sum = 3894.984021839399997 Averaged sum = 0.3891481688319912076 logp*logq = 43.39121360106044366 -------------- ************************************* p = 643; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.102271391301484969 E18 -------------- Searches starting with [643,823]-exponents: u = 1, v = 26 n_start has 79 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(643,823) = 0.9513863873750307651 D2(643,823) = 0.06447738839466322645 C1(643,823) = 1.312868906025972112 C2(643,823) = 1.794551456022825209 C3(643,823) = 11.59501104434281089 C4(643,823) = 6584 Sum = 4114.964807307873416 Averaged sum = 0.4111264669105678306 logp*logq = 43.40694632104624873 -------------- ************************************* p = 643; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.328462308215167286 E18 -------------- Searches starting with [643,827]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(643,827) = 0.6195566927733976085 D2(643,827) = 0.006070647081033821034 C1(643,827) = 0.8834671580195595359 C2(643,827) = 1.751467482899660374 C3(643,827) = 5.202098917136349188 C4(643,827) = 6616 Sum = 3989.508839315220949 Averaged sum = 0.3985921509956260315 logp*logq = 43.43829738718615128 -------------- ************************************* p = 643; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.443822009913729464 E18 -------------- Searches starting with [643,829]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(643,829) = 0.6260232245892882695 D2(643,829) = 0.02913573116870567062 C1(643,829) = 0.9203397369346867904 C2(643,829) = 1.774887284884354205 C3(643,829) = 5.572745286763465117 C4(643,829) = 6632 Sum = 3772.783455918913507 Averaged sum = 0.3769391004015299737 logp*logq = 43.45391610184340370 -------------- ************************************* p = 643; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.043924356797505945 E18 -------------- Searches starting with [643,839]-exponents: u = 1, v = 24 n_start has 73 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(643,839) = 0.5973027518243914198 D2(643,839) = 0.03360416652729735458 C1(643,839) = 0.8547449260634625093 C2(643,839) = 1.796658869002125244 C3(643,839) = 4.930546513471858365 C4(643,839) = 6712 Sum = 3820.252686457599033 Averaged sum = 0.3816817550662003230 logp*logq = 43.53144874207894169 -------------- ************************************* p = 643; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.952423424029334634 E18 -------------- Searches starting with [643,853]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(643,853) = 0.6669383794302947548 D2(643,853) = 0.07170253646584463852 C1(643,853) = 1.058654173963798725 C2(643,853) = 1.853780227268009887 C3(643,853) = 7.214282726197716071 C4(643,853) = 6824 Sum = 3776.677459328504667 Averaged sum = 0.3773281505973128851 logp*logq = 43.63845594316158447 -------------- ************************************* p = 643; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.227381316588902574 E18 -------------- Searches starting with [643,857]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(643,857) = 0.9613509357309249252 D2(643,857) = 0.1236741694733215603 C1(643,857) = 1.427422618026033646 C2(643,857) = 1.906446860120610492 C3(643,857) = 14.35931123013473301 C4(643,857) = 6856 Sum = 4482.948537104201146 Averaged sum = 0.4478917511343991553 logp*logq = 43.66870696780732305 -------------- ************************************* p = 643; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.367515432766947371 E18 -------------- Searches starting with [643,859]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(643,859) = 0.8258742808466861272 D2(643,859) = 0.008022638900807400220 C1(643,859) = 1.188722860878371358 C2(643,859) = 1.808874255366303194 C3(643,859) = 9.196715327105869273 C4(643,859) = 6872 Sum = 4130.337970530465496 Averaged sum = 0.4126624008922435304 logp*logq = 43.68377957305696215 -------------- ************************************* p = 643; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.653186948066338571 E18 -------------- Searches starting with [643,863]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(643,863) = 0.9696839550118712645 D2(643,863) = 0.04871931216432294769 C1(643,863) = 1.546943108317420969 C2(643,863) = 1.850265430903673961 C3(643,863) = 17.94825978099879118 C4(643,863) = 6904 Sum = 4336.012584832667503 Averaged sum = 0.4332113682518400941 logp*logq = 43.71381978840760305 -------------- ************************************* p = 643; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.071177135699651641 E19 -------------- Searches starting with [643,877]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(643,877) = 0.9562001109340045648 D2(643,877) = 0.05461580415260425149 C1(643,877) = 1.322303189110456605 C2(643,877) = 1.877614868930349038 C3(643,877) = 11.80100583290042231 C4(643,877) = 7016 Sum = 4154.889709859744822 Averaged sum = 0.4151153671555345011 logp*logq = 43.81787493748672905 -------------- ************************************* p = 643; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.103164894875310544 E19 -------------- Searches starting with [643,881]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(643,881) = 0.6857947248757899243 D2(643,881) = 0.09818941017600654819 C1(643,881) = 1.026142554318633361 C2(643,881) = 1.921873212002791298 C3(643,881) = 6.789499530746436872 C4(643,881) = 7048 Sum = 3721.845080740644259 Averaged sum = 0.3718498432151707721 logp*logq = 43.84729999269850345 -------------- ************************************* p = 643; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.119459177874362903 E19 -------------- Searches starting with [643,883]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(643,883) = 0.5841925398326406125 D2(643,883) = 0.1221933020115589129 C1(643,883) = 0.8175505731563728902 C2(643,883) = 1.946218299895078752 C3(643,883) = 4.599849561954573152 C4(643,883) = 7064 Sum = 4077.837422383002366 Averaged sum = 0.4074170668781099376 logp*logq = 43.86196245867338723 -------------- ************************************* p = 643; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.152658777640159063 E19 -------------- Searches starting with [643,887]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(643,887) = 1.121608276870016842 D2(643,887) = 0.007393557167309229226 C1(643,887) = 1.512794215302878574 C2(643,887) = 1.852628559417721035 C3(643,887) = 16.83990755651529063 C4(643,887) = 7096 Sum = 3744.566413259027929 Averaged sum = 0.3741199333858555229 logp*logq = 43.89118802130388433 -------------- ************************************* p = 643; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.331425147783685960 E19 -------------- Searches starting with [643,907]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(643,907) = 0.8176394076893467471 D2(643,907) = 0.03283210408615977987 C1(643,907) = 1.149772075732957468 C2(643,907) = 1.903682898642491565 C3(643,907) = 8.551798671112255795 C4(643,907) = 7256 Sum = 4335.564611269072751 Averaged sum = 0.4331666111768481117 logp*logq = 44.03536667511864562 -------------- ************************************* p = 643; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.369853550007830936 E19 -------------- Searches starting with [643,911]-exponents: u = 1, v = 18 n_start has 57 digits **************************************************** Computing .... elapsed time = 49 minutes **************************************************** starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(643,911) = 0.5714016085794104579 D2(643,911) = 0.06859749993316455190 C1(643,911) = 0.8625431080903464353 C2(643,911) = 1.940119966240311714 C3(643,911) = 5.002840082415030980 C4(643,911) = 7288 Sum = 3800.800337786088346 Averaged sum = 0.3797382693362062489 logp*logq = 44.06382060320842106 -------------- ************************************* p = 643; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.449529172593620558 E19 -------------- Searches starting with [643,919]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(643,919) = 0.6780500793457566999 D2(643,919) = 0.1189847186140517773 C1(643,919) = 1.107933785923197501 C2(643,919) = 1.371478053718965719 C3(643,919) = 7.909361944803840313 C4(643,919) = 7352 Sum = 3696.491560911631847 Averaged sum = 0.3693167709972656456 logp*logq = 44.12035556203398934 -------------- ************************************* p = 643; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.554601743712568429 E19 -------------- Searches starting with [643,929]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(643,929) = 0.8420969631291120584 D2(643,929) = 0.05190297143596561067 C1(643,929) = 1.165020763334628997 C2(643,929) = 1.950618959017941509 C3(643,929) = 8.798704792259050854 C4(643,929) = 7432 Sum = 4029.818228843783389 Averaged sum = 0.4026194653655493445 logp*logq = 44.19033616634731268 -------------- ************************************* p = 643; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.643229706031384722 E19 -------------- Searches starting with [643,937]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(643,937) = 0.6566160356237638725 D2(643,937) = 0.1196807492973420478 C1(643,937) = 0.9178696021371028010 C2(643,937) = 1.484176533113601138 C3(643,937) = 5.547110149194934269 C4(643,937) = 7496 Sum = 4103.659093292277421 Averaged sum = 0.4099969121083302448 logp*logq = 44.24578040507493075 -------------- ************************************* p = 643; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.689121366564253167 E19 -------------- Searches starting with [643,941]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(643,941) = 1.029805856791017423 D2(643,941) = 0.1036832296235052926 C1(643,941) = 1.694846633689234323 C2(643,941) = 1.271235073844136696 C3(643,941) = 23.65482080191820272 C4(643,941) = 7528 Sum = 4063.798246179773607 Averaged sum = 0.4060144116474946155 logp*logq = 44.27332525918496451 -------------- ************************************* p = 643; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.759988030440320800 E19 -------------- Searches starting with [643,947]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(643,947) = 0.5449457715781045756 D2(643,947) = 0.01507856665224991471 C1(643,947) = 0.8011524623694182809 C2(643,947) = 1.943238321000142980 C3(643,947) = 4.461188509121693936 C4(643,947) = 7576 Sum = 3831.549638518734613 Averaged sum = 0.3828104344608586884 logp*logq = 44.31442377502762092 -------------- ************************************* p = 643; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.833351940126086657 E19 -------------- Searches starting with [643,953]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(643,953) = 0.6395000993840464187 D2(643,953) = 0.05983736742207051048 C1(643,953) = 0.8879758065553139899 C2(643,953) = 1.988976833166815612 C3(643,953) = 5.246063236055189240 C4(643,953) = 7624 Sum = 3892.350283065433381 Averaged sum = 0.3888850317779431892 logp*logq = 44.35526271956536480 -------------- ************************************* p = 643; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.014650170861617641 E19 -------------- Searches starting with [643,967]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(643,967) = 0.5824986104977778795 D2(643,967) = 0.1293990691770237644 C1(643,967) = 0.9662608479683828297 C2(643,967) = 1.819785185039322493 C3(643,967) = 6.071485072716910453 C4(643,967) = 7736 Sum = 4038.984633537986662 Averaged sum = 0.4035352816003583437 logp*logq = 44.44956233473749993 -------------- ************************************* p = 643; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.069149467632349182 E19 -------------- Searches starting with [643,971]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(643,971) = 0.6300640161206774904 D2(643,971) = 0.1270756175518475215 C1(643,971) = 0.9306984974801806364 C2(643,971) = 1.818148686295638685 C3(643,971) = 5.681545316919501018 C4(643,971) = 7768 Sum = 3507.653463687837212 Averaged sum = 0.3504499414215043673 logp*logq = 44.47625440452592759 -------------- ************************************* p = 643; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.153232663428780657 E19 -------------- Searches starting with [643,977]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(643,977) = 0.6589460011234219720 D2(643,977) = 0.03836129202768891658 C1(643,977) = 0.8955484985636532377 C2(643,977) = 2.000551483393983059 C3(643,977) = 5.320743086073634424 C4(643,977) = 7816 Sum = 3580.070934965231933 Averaged sum = 0.3576851768373695606 logp*logq = 44.51608704419075094 -------------- ************************************* p = 643; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.240186322592177670 E19 -------------- Searches starting with [643,983]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(643,983) = 0.5910708388763061476 D2(643,983) = 0.08179171721194733805 C1(643,983) = 0.8553685600475556292 C2(643,983) = 2.044940112398052458 C3(643,983) = 4.936289320901861229 C4(643,983) = 7864 Sum = 3540.456843717222635 Averaged sum = 0.3537273297749248311 logp*logq = 44.55567580902322542 -------------- ************************************* p = 643; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.360727474141001014 E19 -------------- Searches starting with [643,991]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(643,991) = 0.8163884573133857996 D2(643,991) = 0.08917120303430418556 C1(643,991) = 1.366002759843180575 C2(643,991) = 1.268063411648737365 C3(643,991) = 12.80394741701067347 C4(643,991) = 7928 Sum = 3498.715980469165102 Averaged sum = 0.3495569967498416527 logp*logq = 44.60808659017923704 -------------- ************************************* p = 643; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.454691266906457072 E19 -------------- Searches starting with [643,997]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(643,997) = 0.7192729839936327368 D2(643,997) = 0.1141245819410006212 C1(643,997) = 1.043322453607027207 C2(643,997) = 1.832011742735604190 C3(643,997) = 7.010751431405270612 C4(643,997) = 7976 Sum = 4296.870949806757795 Averaged sum = 0.4293007243287798776 logp*logq = 44.64711776336438125 -------------- ************************************* p = 647; q = 653; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.656124180375859499 E18 -------------- Searches starting with [647,653]-exponents: u = 1, v = 701 n_start has 1977 digits --- performed 5000 steps in the continued fraction search [647,653]-exponents: u = 114, v = 581 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(647,653) = 0.7695795194387765211 D2(647,653) = 0.2435150334831815166 C1(647,653) = 0.9888706701036694461 C2(647,653) = 1.262350047879228011 C3(647,653) = 6.339210480298925353 C4(647,653) = 5224 Sum = 5560.630703990827625 Averaged sum = 0.5561186822673094934 logp*logq = 41.95101171519409313 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(647,653) = 0.7695795194387765211 D2(647,653) = 0.2435150334831815166 C1(647,653) = 0.9888706701036694461 C2(647,653) = 1.262350047879228011 C3(647,653) = 6.339210480298925353 C4(647,653) = 5224 Sum = 5560.630703990827625 Averaged sum = 0.5561186822673094934 logp*logq = 41.95101171519409313 -------------- ************************************* p = 647; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.757124635580176984 E18 -------------- Searches starting with [647,659]-exponents: u = 1, v = 352 n_start has 996 digits --- performed 5000 steps in the continued fraction search [647,659]-exponents: u = 163, v = 176 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(647,659) = 0.7288370536214332297 D2(647,659) = 0.05062353970559345181 C1(647,659) = 0.9608560027937544720 C2(647,659) = 1.170742927284314576 C3(647,659) = 6.016079226309516979 C4(647,659) = 5272 Sum = 5172.460137539501640 Averaged sum = 0.5172977435283029943 logp*logq = 42.01021041716709082 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(647,659) = 0.7288370536214332297 D2(647,659) = 0.05062353970559345181 C1(647,659) = 0.9608560027937544720 C2(647,659) = 1.170742927284314576 C3(647,659) = 6.016079226309516979 C4(647,659) = 5272 Sum = 5172.460137539501640 Averaged sum = 0.5172977435283029943 logp*logq = 42.01021041716709082 -------------- ************************************* p = 647; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.791927630321894523 E18 -------------- Searches starting with [647,661]-exponents: u = 1, v = 302 n_start has 855 digits --- performed 5000 steps in the continued fraction search [647,661]-exponents: u = 2, v = 284 --- starting right neighbors generation We generated 9774 left neighbors We generated 236 right neighbors We generated 10009 non-negative rho_i D1(647,661) = 0.6490594321668554798 D2(647,661) = 0.0002245154115388322567 C1(647,661) = 0.8612052264847581565 C2(647,661) = 1.148021251960090925 C3(647,661) = 4.994483863301494427 C4(647,661) = 5288 Sum = 5084.651062798277880 Averaged sum = 0.5080078991705742711 logp*logq = 42.02982360276505621 -------------- ************************************* p = 647; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.013227350004452557 E18 -------------- Searches starting with [647,673]-exponents: u = 1, v = 164 n_start has 467 digits starting right neighbors generation We generated 2982 left neighbors We generated 7028 right neighbors We generated 10009 non-negative rho_i D1(647,673) = 0.6471838440547294415 D2(647,673) = 0.003653139036616099625 C1(647,673) = 0.8838967678876089261 C2(647,673) = 1.255275614659981942 C3(647,673) = 5.210685429521651739 C4(647,673) = 5384 Sum = 4569.937287567484607 Averaged sum = 0.4565828042329388158 logp*logq = 42.14627075505959926 -------------- ************************************* p = 647; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.091944127428609579 E18 -------------- Searches starting with [647,677]-exponents: u = 1, v = 142 n_start has 405 digits starting right neighbors generation We generated 2183 left neighbors We generated 7827 right neighbors We generated 10009 non-negative rho_i D1(647,677) = 0.6862456915663227382 D2(647,677) = 0.006735912952931025115 C1(647,677) = 0.9441206456314326802 C2(647,677) = 1.284822915308774655 C3(647,677) = 5.830961029700435015 C4(647,677) = 5416 Sum = 4721.291948283468116 Averaged sum = 0.4717046606337764128 logp*logq = 42.18462551200873086 -------------- ************************************* p = 647; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.214890898503476180 E18 -------------- Searches starting with [647,683]-exponents: u = 1, v = 119 n_start has 341 digits starting right neighbors generation We generated 1602 left neighbors We generated 8408 right neighbors We generated 10009 non-negative rho_i D1(647,683) = 0.5488298863217749017 D2(647,683) = 0.004522109810555196367 C1(647,683) = 0.7625508639970138646 C2(647,683) = 1.318666581401035040 C3(647,683) = 4.154089362881163321 C4(647,683) = 5464 Sum = 4569.978307817355110 Averaged sum = 0.4565869025694230303 logp*logq = 42.24173482042217846 -------------- ************************************* p = 647; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.388279870580389737 E18 -------------- Searches starting with [647,691]-exponents: u = 1, v = 98 n_start has 282 digits starting right neighbors generation We generated 1133 left neighbors We generated 8877 right neighbors We generated 10009 non-negative rho_i D1(647,691) = 0.5715157849966634466 D2(647,691) = 0.003363839810983124249 C1(647,691) = 0.8037919351051058179 C2(647,691) = 1.359397764558748219 C3(647,691) = 4.486677873764862605 C4(647,691) = 5528 Sum = 3983.392656374181795 Averaged sum = 0.3979810826630214601 logp*logq = 42.31710506129144930 -------------- ************************************* p = 647; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.621032878297983474 E18 -------------- Searches starting with [647,701]-exponents: u = 1, v = 80 n_start has 231 digits starting right neighbors generation We generated 701 left neighbors We generated 9309 right neighbors We generated 10009 non-negative rho_i D1(647,701) = 0.6160364508996465606 D2(647,701) = 0.02445260586524145222 C1(647,701) = 0.8771086542338333429 C2(647,701) = 1.423402286584057061 C3(647,701) = 5.145046168087376554 C4(647,701) = 5608 Sum = 4507.527153733580942 Averaged sum = 0.4503474027109182678 logp*logq = 42.41010014233625472 -------------- ************************************* p = 647; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.820782477908222972 E18 -------------- Searches starting with [647,709]-exponents: u = 1, v = 70 n_start has 203 digits starting right neighbors generation We generated 547 left neighbors We generated 9463 right neighbors We generated 10009 non-negative rho_i D1(647,709) = 0.5996075044147706349 D2(647,709) = 0.02669981208596490822 C1(647,709) = 0.8614446876512212688 C2(647,709) = 1.457599989353712709 C3(647,709) = 4.996717910927313635 C4(647,709) = 5672 Sum = 4434.041341470359941 Averaged sum = 0.4430054292607013629 logp*logq = 42.48354599478947303 -------------- ************************************* p = 647; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.088436298305543461 E18 -------------- Searches starting with [647,719]-exponents: u = 1, v = 61 n_start has 178 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(647,719) = 0.5518709453915263386 D2(647,719) = 0.008293163062518231748 C1(647,719) = 0.8015993532485932917 C2(647,719) = 1.477863680685440049 C3(647,719) = 4.468343695214031390 C4(647,719) = 5752 Sum = 3959.432506852717378 Averaged sum = 0.3955872221853049633 logp*logq = 42.57419658438647929 -------------- ************************************* p = 647; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.317734590330865314 E18 -------------- Searches starting with [647,727]-exponents: u = 1, v = 55 n_start has 161 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(647,727) = 0.8262104112528380374 D2(647,727) = 0.01763403166640622461 C1(647,727) = 1.152602465294364418 C2(647,727) = 1.512847045283953270 C3(647,727) = 8.606602938738815989 C4(647,727) = 5816 Sum = 4400.489532005176122 Averaged sum = 0.4396532652617820084 logp*logq = 42.64581387160294532 -------------- ************************************* p = 647; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.499009274497515402 E18 -------------- Searches starting with [647,733]-exponents: u = 1, v = 51 n_start has 149 digits starting right neighbors generation We generated 302 left neighbors We generated 9708 right neighbors We generated 10009 non-negative rho_i D1(647,733) = 0.6942462819060258840 D2(647,733) = 0.03153643508825993207 C1(647,733) = 1.020804584552776319 C2(647,733) = 1.543984211284966959 C3(647,733) = 6.728767901688460393 C4(647,733) = 5864 Sum = 4492.202601939935394 Averaged sum = 0.4488163255010426011 logp*logq = 42.69901153788861160 -------------- ************************************* p = 647; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.688588442026835923 E18 -------------- Searches starting with [647,739]-exponents: u = 1, v = 48 n_start has 141 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(647,739) = 0.7416425743138669038 D2(647,739) = 0.02586747412928002055 C1(647,739) = 1.018433703637453570 C2(647,739) = 1.557010814654758431 C3(647,739) = 6.699040716741503965 C4(647,739) = 5912 Sum = 4082.922847370761547 Averaged sum = 0.4079251521001859873 logp*logq = 42.75177552272359618 -------------- ************************************* p = 647; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.819740067735627737 E18 -------------- Searches starting with [647,743]-exponents: u = 1, v = 46 n_start has 135 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(647,743) = 0.6078709848317979249 D2(647,743) = 0.01137587791036717736 C1(647,743) = 0.9011191464224389649 C2(647,743) = 1.555916184182769552 C3(647,743) = 5.381003417652664587 C4(647,743) = 5944 Sum = 4151.071278971716120 Averaged sum = 0.4147338674164967649 logp*logq = 42.78671404910074819 -------------- ************************************* p = 647; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.093902455270466774 E18 -------------- Searches starting with [647,751]-exponents: u = 1, v = 43 n_start has 127 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(647,751) = 0.5884372172236921416 D2(647,751) = 0.01250241200862177324 C1(647,751) = 0.8332619649367302227 C2(647,751) = 1.579130411363757444 C3(647,751) = 4.740530049140133233 C4(647,751) = 6008 Sum = 4066.243339879589795 Averaged sum = 0.4062587011569177535 logp*logq = 42.85603033458291791 -------------- ************************************* p = 647; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.310280634433429970 E18 -------------- Searches starting with [647,757]-exponents: u = 1, v = 41 n_start has 121 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(647,757) = 0.5967895757722326712 D2(647,757) = 0.01123354445952287437 C1(647,757) = 0.8949875832839407683 C2(647,757) = 1.593954281001994743 C3(647,757) = 5.319737363014217302 C4(647,757) = 6056 Sum = 3549.439901797341165 Averaged sum = 0.3546248278346829019 logp*logq = 42.90753468828630615 -------------- ************************************* p = 647; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.459840286706709030 E18 -------------- Searches starting with [647,761]-exponents: u = 1, v = 39 n_start has 116 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(647,761) = 0.7071330709424336255 D2(647,761) = 0.02383689697290320390 C1(647,761) = 1.062747110909947498 C2(647,761) = 1.615209726305982364 C3(647,761) = 7.277019302386119576 C4(647,761) = 6088 Sum = 4282.764565656391484 Averaged sum = 0.4278913543467270940 logp*logq = 42.94164462912814968 -------------- ************************************* p = 647; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.772156213846822957 E18 -------------- Searches starting with [647,769]-exponents: u = 1, v = 37 n_start has 110 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(647,769) = 0.7228727001029969277 D2(647,769) = 0.03653481193234954876 C1(647,769) = 1.033658428419144899 C2(647,769) = 1.646156207135563286 C3(647,769) = 6.892246623408033345 C4(647,769) = 6152 Sum = 4257.339351325742860 Averaged sum = 0.4253511191253614607 logp*logq = 43.00932991310125161 -------------- ************************************* p = 647; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.935121455513760018 E18 -------------- Searches starting with [647,773]-exponents: u = 1, v = 36 n_start has 107 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(647,773) = 0.5752936693469948202 D2(647,773) = 0.03609935751128603360 C1(647,773) = 0.8029911295493741679 C2(647,773) = 1.655363164094177351 C3(647,773) = 4.479972903390652173 C4(647,773) = 6184 Sum = 4097.086106539477912 Averaged sum = 0.4093402044699248588 logp*logq = 43.04290895752177500 -------------- ************************************* p = 647; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.543082315270465480 E18 -------------- Searches starting with [647,787]-exponents: u = 1, v = 33 n_start has 99 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(647,787) = 0.8888642571880023129 D2(647,787) = 0.03869127155743291013 C1(647,787) = 1.359606260219197257 C2(647,787) = 1.689646190839621543 C3(647,787) = 12.66848340114933521 C4(647,787) = 6296 Sum = 2379.129038793258911 Averaged sum = 0.2376989748020040874 logp*logq = 43.15908239453061044 -------------- ************************************* p = 647; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.015102262169318857 E18 -------------- Searches starting with [647,797]-exponents: u = 1, v = 31 n_start has 93 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(647,797) = 0.8912570471386357323 D2(647,797) = 0.02327774614448781224 C1(647,797) = 1.371523568086720033 C2(647,797) = 1.697822182440885758 C3(647,797) = 12.95359454461499660 C4(647,797) = 6376 Sum = 2279.264921802232562 Averaged sum = 0.2277215427917107166 logp*logq = 43.24080502436685260 -------------- ************************************* p = 647; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.625975694393316633 E18 -------------- Searches starting with [647,809]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(647,809) = 0.9209680213857289105 D2(647,809) = 0.01203628935049370583 C1(647,809) = 1.426655640916189970 C2(647,809) = 1.712803761198671534 C3(647,809) = 14.35839228423373802 C4(647,809) = 6472 Sum = 4611.894583007224336 Averaged sum = 0.4607747610158082061 logp*logq = 43.33752930954667153 -------------- ************************************* p = 647; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.732716790200436869 E18 -------------- Searches starting with [647,811]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(647,811) = 0.6918533665522848477 D2(647,811) = 0.03865607110859242501 C1(647,811) = 0.9797053598706968750 C2(647,811) = 1.739780538801640182 C3(647,811) = 6.231628277183567048 C4(647,811) = 6488 Sum = 4267.765903129485019 Averaged sum = 0.4263928367598646237 logp*logq = 43.35351041962765052 -------------- ************************************* p = 647; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.288499593318710675 E18 -------------- Searches starting with [647,821]-exponents: u = 1, v = 27 n_start has 82 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(647,821) = 0.6403978968231950560 D2(647,821) = 0.07570600577284145231 C1(647,821) = 0.8735351012412352830 C2(647,821) = 1.791640445134752061 C3(647,821) = 5.110823747099748595 C4(647,821) = 6568 Sum = 3791.426282921218182 Averaged sum = 0.3788017067560413810 logp*logq = 43.43282938162708499 -------------- ************************************* p = 647; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.404186005587410063 E18 -------------- Searches starting with [647,823]-exponents: u = 1, v = 26 n_start has 79 digits starting right neighbors generation We generated 80 left neighbors We generated 9930 right neighbors We generated 10009 non-negative rho_i D1(647,823) = 0.7139930452485581223 D2(647,823) = 0.1065049941374731216 C1(647,823) = 1.114151447493554112 C2(647,823) = 1.822792951567183890 C3(647,823) = 8.010241648860236438 C4(647,823) = 6584 Sum = 3795.536073519909596 Averaged sum = 0.3792123162673503443 logp*logq = 43.44857719059907664 -------------- ************************************* p = 647; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.640221929531406335 E18 -------------- Searches starting with [647,827]-exponents: u = 1, v = 26 n_start has 79 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(647,827) = 0.5807046462130059926 D2(647,827) = 0.04676479504040634252 C1(647,827) = 0.8268061802450222234 C2(647,827) = 1.777547010280095090 C3(647,827) = 4.683719346780035065 C4(647,827) = 6616 Sum = 4111.920334819536242 Averaged sum = 0.4108222934178775344 logp*logq = 43.47995832501734089 -------------- ************************************* p = 647; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.760605390775545656 E18 -------------- Searches starting with [647,829]-exponents: u = 1, v = 26 n_start has 79 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(647,829) = 0.9752731323811696312 D2(647,829) = 0.07365189312930218257 C1(647,829) = 1.306600169818256465 C2(647,829) = 1.804786889925964483 C3(647,829) = 11.47449060019750649 C4(647,829) = 6632 Sum = 3335.861399583155302 Averaged sum = 0.3332861823941607854 logp*logq = 43.49559201932019357 -------------- ************************************* p = 647; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.386869649480775619 E18 -------------- Searches starting with [647,839]-exponents: u = 1, v = 24 n_start has 73 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(647,839) = 0.7231503262239760295 D2(647,839) = 0.08811657125893600000 C1(647,839) = 1.137659593661278065 C2(647,839) = 1.835628888487284549 C3(647,839) = 8.369744023360370797 C4(647,839) = 6712 Sum = 3709.967674458403447 Averaged sum = 0.3706631705923072681 logp*logq = 43.57319901980231188 -------------- ************************************* p = 647; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.335059732978239379 E18 -------------- Searches starting with [647,853]-exponents: u = 1, v = 23 n_start has 71 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(647,853) = 0.5747628434643316900 D2(647,853) = 0.01042104098499049188 C1(647,853) = 0.7982002274713688491 C2(647,853) = 1.792498731787155740 C3(647,853) = 4.440068494845288240 C4(647,853) = 6824 Sum = 3907.282543997122155 Averaged sum = 0.3903769151760537671 logp*logq = 43.68030884968534381 -------------- ************************************* p = 647; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.622048787590716052 E18 -------------- Searches starting with [647,857]-exponents: u = 1, v = 23 n_start has 71 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(647,857) = 0.9760408261834608452 D2(647,857) = 0.05347549256805006101 C1(647,857) = 1.549605916010114139 C2(647,857) = 1.836248183215338993 C3(647,857) = 18.06450556566151861 C4(647,857) = 6856 Sum = 1827.586823493020287 Averaged sum = 0.1825943474366090805 logp*logq = 43.71058888757821457 -------------- ************************************* p = 647; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.768317836432148131 E18 -------------- Searches starting with [647,859]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(647,859) = 0.7702040612580156667 D2(647,859) = 0.07699895512999974095 C1(647,859) = 1.060035318981523455 C2(647,859) = 1.860117922104024877 C3(647,859) = 7.240258900888286737 C4(647,859) = 6872 Sum = 3996.997485734901073 Averaged sum = 0.3993403422654512012 logp*logq = 43.72567594870913885 -------------- ************************************* p = 647; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.006650223422153235 E19 -------------- Searches starting with [647,863]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(647,863) = 0.6973099364892886851 D2(647,863) = 0.1294896673167461366 C1(647,863) = 1.035544574863850628 C2(647,863) = 1.913298758738890903 C3(647,863) = 6.916567036116227381 C4(647,863) = 6904 Sum = 3783.548758103721988 Averaged sum = 0.3780146626140195811 logp*logq = 43.75574497512327524 -------------- ************************************* p = 647; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.117152631460330477 E19 -------------- Searches starting with [647,877]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(647,877) = 0.5213822324261902455 D2(647,877) = 0.1513422018204598424 C1(647,877) = 0.7383111308236389887 C2(647,877) = 1.955293816701597822 C3(647,877) = 3.970232266086727405 C4(647,877) = 7016 Sum = 4043.734797384696102 Averaged sum = 0.4040098708547003798 logp*logq = 43.85989992173954135 -------------- ************************************* p = 647; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.150545791553279981 E19 -------------- Searches starting with [647,881]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(647,881) = 0.9160659498636965529 D2(647,881) = 0.03721109122565280286 C1(647,881) = 1.469532498802147968 C2(647,881) = 1.860894893052437553 C3(647,881) = 15.55541469978876723 C4(647,881) = 7048 Sum = 4070.583621121974869 Averaged sum = 0.4066923390070911049 logp*logq = 43.88935319802510532 -------------- ************************************* p = 647; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.167556332155013948 E19 -------------- Searches starting with [647,883]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(647,883) = 0.5954982965891641298 D2(647,883) = 0.05722868223831262142 C1(647,883) = 0.8325565640606035320 C2(647,883) = 1.881253680121832460 C3(647,883) = 4.734289159902713155 C4(647,883) = 7064 Sum = 3941.887362482184079 Averaged sum = 0.3938342853913661783 logp*logq = 43.90402972652361858 -------------- ************************************* p = 647; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.202216037921603909 E19 -------------- Searches starting with [647,887]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(647,887) = 0.8312560282526976474 D2(647,887) = 0.1008280823383058095 C1(647,887) = 1.244001017886861353 C2(647,887) = 1.925533145096536661 C3(647,887) = 10.20849304142112137 C4(647,887) = 7096 Sum = 4054.437362510500106 Averaged sum = 0.4050791650025477176 logp*logq = 43.93328331889793776 -------------- ************************************* p = 647; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.388860303304012338 E19 -------------- Searches starting with [647,907]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(647,907) = 0.6569345298133157514 D2(647,907) = 0.1340372523112536988 C1(647,907) = 0.9127527596135955686 C2(647,907) = 1.441025951308274879 C3(647,907) = 5.499191537873677293 C4(647,907) = 7256 Sum = 3852.403666449030535 Averaged sum = 0.3848939620790319247 logp*logq = 44.07760025202598847 -------------- ************************************* p = 647; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.428985429937868606 E19 -------------- Searches starting with [647,911]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(647,911) = 0.7222297325631046944 D2(647,911) = 0.01637091739424341152 C1(647,911) = 1.172467551492234166 C2(647,911) = 1.887893383701390574 C3(647,911) = 8.931894381636197498 C4(647,911) = 7288 Sum = 3717.928807068728156 Averaged sum = 0.3714585679956767065 logp*logq = 44.10608146979792238 -------------- ************************************* p = 647; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.512182366821527250 E19 -------------- Searches starting with [647,919]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(647,919) = 0.7560997496513769436 D2(647,919) = 0.08764884704056645031 C1(647,919) = 1.029498403388456678 C2(647,919) = 1.960505800007961637 C3(647,919) = 6.838908168208149008 C4(647,919) = 7352 Sum = 3805.845015687086057 Averaged sum = 0.3802422835135464139 logp*logq = 44.16267065034824950 -------------- ************************************* p = 647; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.621905357922406379 E19 -------------- Searches starting with [647,929]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(647,929) = 0.7007506330449543951 D2(647,929) = 0.003851670948731827460 C1(647,929) = 0.9555660501461851255 C2(647,929) = 1.902567658530707726 C3(647,929) = 5.956937844810938667 C4(647,929) = 7432 Sum = 3899.915375161205812 Averaged sum = 0.3896408607414532733 logp*logq = 44.23271837187797061 -------------- ************************************* p = 647; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.714461469499605809 E19 -------------- Searches starting with [647,937]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(647,937) = 0.7410842227276134667 D2(647,937) = 0.06760946205992771229 C1(647,937) = 1.124367223944662514 C2(647,937) = 1.967644461982645891 C3(647,937) = 8.164531018469477502 C4(647,937) = 7496 Sum = 3552.081339480948823 Averaged sum = 0.3548887340874162077 logp*logq = 44.28821578623911180 -------------- ************************************* p = 647; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.762389028672812545 E19 -------------- Searches starting with [647,941]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(647,941) = 0.5822476469174554983 D2(647,941) = 0.1038130996445983137 C1(647,941) = 0.8063538345666384998 C2(647,941) = 2.004503363127970856 C3(647,941) = 4.508195577449850609 C4(647,941) = 7528 Sum = 4039.930953006837337 Averaged sum = 0.4036298284550741669 logp*logq = 44.31578705815379426 -------------- ************************************* p = 647; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.836402002796373591 E19 -------------- Searches starting with [647,947]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(647,947) = 1.168038513645842930 D2(647,947) = 0.1021108688709029489 C1(647,947) = 1.922736280020615074 C2(647,947) = 1.270352117986060115 C3(647,947) = 36.26250849759739823 C4(647,947) = 7576 Sum = 4517.837824571440534 Averaged sum = 0.4513775426687421855 logp*logq = 44.35692499088929556 -------------- ************************************* p = 647; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.913026105022874437 E19 -------------- Searches starting with [647,953]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(647,953) = 0.8251801637795215649 D2(647,953) = 0.01307320055283612371 C1(647,953) = 1.144882624494605368 C2(647,953) = 1.942212666297581225 C3(647,953) = 8.483410842303230200 C4(647,953) = 7624 Sum = 3978.017470619816843 Averaged sum = 0.3974440474193043104 logp*logq = 44.39780310336942708 -------------- ************************************* p = 647; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.102393363818034599 E19 -------------- Searches starting with [647,967]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(647,967) = 0.6663027641011391449 D2(647,967) = 0.1006177205729847038 C1(647,967) = 1.105562565734471971 C2(647,967) = 1.380251922670199803 C3(647,967) = 7.882781785809798259 C4(647,967) = 7736 Sum = 3764.393633327051197 Averaged sum = 0.3761008725474124485 logp*logq = 44.49219315971079529 -------------- ************************************* p = 647; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.159321522773045105 E19 -------------- Searches starting with [647,971]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(647,971) = 0.7969036138975317248 D2(647,971) = 0.1008090258993218211 C1(647,971) = 1.322189974773175286 C2(647,971) = 1.283960667379787617 C3(647,971) = 11.81347615262469401 C4(647,971) = 7768 Sum = 3519.471376713982884 Averaged sum = 0.3516306700683367853 logp*logq = 44.51891082941282292 -------------- ************************************* p = 647; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.247154850149940092 E19 -------------- Searches starting with [647,977]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(647,977) = 0.5317561395436864080 D2(647,977) = 0.1270764843315810937 C1(647,977) = 0.7402901358074439226 C2(647,977) = 1.819016063879489524 C3(647,977) = 3.984932870936762847 C4(647,977) = 7816 Sum = 3851.520032795277782 Averaged sum = 0.3848056781691755202 logp*logq = 44.55878167189001565 -------------- ************************************* p = 647; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.337990123611854695 E19 -------------- Searches starting with [647,983]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(647,983) = 0.7142090915310366040 D2(647,983) = 0.03486334245772248932 C1(647,983) = 1.095679196796908332 C2(647,983) = 1.998011737643827610 C3(647,983) = 7.738619296695798003 C4(647,983) = 7864 Sum = 3314.063211453173629 Averaged sum = 0.3311083236540287370 logp*logq = 44.59840840563862417 -------------- ************************************* p = 647; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.463917803642022283 E19 -------------- Searches starting with [647,991]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(647,991) = 0.5448131044999933845 D2(647,991) = 0.09291592533863645366 C1(647,991) = 0.9118823155524880920 C2(647,991) = 2.057332816085481838 C3(647,991) = 5.490259380306484122 C4(647,991) = 7928 Sum = 4022.252187541865904 Averaged sum = 0.4018635415667764915 logp*logq = 44.65086945309020355 -------------- ************************************* p = 647; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.562084778119289957 E19 -------------- Searches starting with [647,997]-exponents: u = 1, v = 14 n_start has 45 digits starting right neighbors generation We generated 30 left neighbors We generated 9980 right neighbors We generated 10009 non-negative rho_i D1(647,997) = 0.9228133160961442175 D2(647,997) = 0.08427438862197817363 C1(647,997) = 1.544394711461011951 C2(647,997) = 1.241968727271649244 C3(647,997) = 17.88955223455548589 C4(647,997) = 7976 Sum = 3482.873220697876563 Averaged sum = 0.3479741453389825720 logp*logq = 44.68993806041474440 -------------- ************************************* p = 653; q = 659; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.865620190790757764 E18 -------------- Searches starting with [653,659]-exponents: u = 1, v = 708 n_start has 1999 digits --- performed 5000 steps in the continued fraction search [653,659]-exponents: u = 65, v = 637 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(653,659) = 0.6078726833725177364 D2(653,659) = 0.2398036726080924036 C1(653,659) = 0.7809557590352252778 C2(653,659) = 1.258329216462248854 C3(653,659) = 4.304143200171633021 C4(653,659) = 5272 Sum = 5563.652867723659325 Averaged sum = 0.5564209288652524578 logp*logq = 42.07012521368773078 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(653,659) = 0.6078726833725177364 D2(653,659) = 0.2398036726080924036 C1(653,659) = 0.7809557590352252778 C2(653,659) = 1.258329216462248854 C3(653,659) = 4.304143200171633021 C4(653,659) = 5272 Sum = 5563.652867723659325 Averaged sum = 0.5564209288652524578 logp*logq = 42.07012521368773078 -------------- ************************************* p = 653; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.902625353932381373 E18 -------------- Searches starting with [653,661]-exponents: u = 1, v = 532 n_start has 1504 digits --- performed 5000 steps in the continued fraction search [653,661]-exponents: u = 248, v = 276 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(653,661) = 0.6915284731536266272 D2(653,661) = 0.1711158954793414151 C1(653,661) = 0.8973797959584471778 C2(653,661) = 1.227830762642380566 C3(653,661) = 5.350395116522450443 C4(653,661) = 5288 Sum = 5408.651644503751563 Averaged sum = 0.5409192563760127575 logp*logq = 42.08976637153369385 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(653,661) = 0.6915284731536266272 D2(653,661) = 0.1711158954793414151 C1(653,661) = 0.8973797959584471778 C2(653,661) = 1.227830762642380566 C3(653,661) = 5.350395116522450443 C4(653,661) = 5288 Sum = 5408.651644503751563 Averaged sum = 0.5409192563760127575 logp*logq = 42.08976637153369385 -------------- ************************************* p = 653; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.137951069869031560 E18 -------------- Searches starting with [653,673]-exponents: u = 1, v = 214 n_start has 609 digits starting right neighbors generation We generated 4907 left neighbors We generated 5103 right neighbors We generated 10009 non-negative rho_i D1(653,673) = 0.7429989174548500937 D2(653,673) = 0.001085952144841447086 C1(653,673) = 1.001336816082915372 C2(653,673) = 1.205834642678074739 C3(653,673) = 6.497791343503740927 C4(653,673) = 5384 Sum = 4888.549365071178232 Averaged sum = 0.4884153626807051885 logp*logq = 42.20637960029788211 -------------- ************************************* p = 653; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.221666044144247862 E18 -------------- Searches starting with [653,677]-exponents: u = 1, v = 179 n_start has 510 digits starting right neighbors generation We generated 3429 left neighbors We generated 6581 right neighbors We generated 10009 non-negative rho_i D1(653,677) = 0.5897063350407622360 D2(653,677) = 0.006610614246715042504 C1(653,677) = 0.8017175806881681499 C2(653,677) = 1.242552221947078875 C3(653,677) = 4.474439928090255467 C4(653,677) = 5416 Sum = 4768.295341868745867 Averaged sum = 0.4764007734907329270 logp*logq = 42.24478905865020561 -------------- ************************************* p = 653; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.352428366910450883 E18 -------------- Searches starting with [653,683]-exponents: u = 1, v = 144 n_start has 411 digits starting right neighbors generation We generated 2345 left neighbors We generated 7665 right neighbors We generated 10009 non-negative rho_i D1(653,683) = 0.6287165065003056692 D2(653,683) = 0.001774166220997821201 C1(653,683) = 0.8648255421047000592 C2(653,683) = 1.279437787167560003 C3(653,683) = 5.034567821523092453 C4(653,683) = 5464 Sum = 4434.106543425843511 Averaged sum = 0.4430119435933503358 logp*logq = 42.30197981613422553 -------------- ************************************* p = 653; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.536856905144305790 E18 -------------- Searches starting with [653,691]-exponents: u = 1, v = 114 n_start has 327 digits starting right neighbors generation We generated 1429 left neighbors We generated 8581 right neighbors We generated 10009 non-negative rho_i D1(653,691) = 0.5669893778370341283 D2(653,691) = 0.01174970816489272766 C1(653,691) = 0.7899119724143673626 C2(653,691) = 1.335010810695220921 C3(653,691) = 4.376795925751713817 C4(653,691) = 5528 Sum = 4554.627724865152078 Averaged sum = 0.4550532245843892574 logp*logq = 42.37745754974396474 -------------- ************************************* p = 653; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.784458962526359129 E18 -------------- Searches starting with [653,701]-exponents: u = 1, v = 91 n_start has 262 digits starting right neighbors generation We generated 967 left neighbors We generated 9043 right neighbors We generated 10009 non-negative rho_i D1(653,701) = 0.5720908925251813286 D2(653,701) = 0.009000894284140905748 C1(653,701) = 0.7769078133240900469 C2(653,701) = 1.382079282153586382 C3(653,701) = 4.271703225080208168 C4(653,701) = 5608 Sum = 3891.956947373243875 Averaged sum = 0.3888457335771049930 logp*logq = 42.47058526000683147 -------------- ************************************* p = 653; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.996977218145321280 E18 -------------- Searches starting with [653,709]-exponents: u = 1, v = 78 n_start has 226 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(653,709) = 0.6375468624760738255 D2(653,709) = 0.01785054284295150566 C1(653,709) = 0.9094648920742616388 C2(653,709) = 1.424578094301252897 C3(653,709) = 5.472617491818740539 C4(653,709) = 5672 Sum = 4540.732689427118543 Averaged sum = 0.4536649704692894938 logp*logq = 42.54413586064534383 -------------- ************************************* p = 653; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.281773776895696577 E18 -------------- Searches starting with [653,719]-exponents: u = 1, v = 67 n_start has 195 digits starting right neighbors generation We generated 523 left neighbors We generated 9487 right neighbors We generated 10009 non-negative rho_i D1(653,719) = 0.7454873799056791041 D2(653,719) = 0.02964341435827573148 C1(653,719) = 1.007235710313133416 C2(653,719) = 1.473830962796386232 C3(653,719) = 6.569824672128178295 C4(653,719) = 5752 Sum = 3455.970220880810785 Averaged sum = 0.3452862644500760100 logp*logq = 42.63491573575594898 -------------- ************************************* p = 653; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.525786349901761459 E18 -------------- Searches starting with [653,727]-exponents: u = 1, v = 60 n_start has 175 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(653,727) = 0.5436320867047961338 D2(653,727) = 0.002883960982790013175 C1(653,727) = 0.7547687869678288298 C2(653,727) = 1.478507969738844617 C3(653,727) = 4.098559576578693696 C4(653,727) = 5816 Sum = 3972.753325665880468 Averaged sum = 0.3969181062709441970 logp*logq = 42.70663516326517539 -------------- ************************************* p = 653; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.718710714024271820 E18 -------------- Searches starting with [653,733]-exponents: u = 1, v = 56 n_start has 164 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(653,733) = 0.7826373541700496051 D2(653,733) = 0.03843090252878352123 C1(653,733) = 1.144426105447017234 C2(653,733) = 1.529647339393810072 C3(653,733) = 8.490017292482952820 C4(653,733) = 5864 Sum = 3198.448902630292734 Averaged sum = 0.3195572887031963967 logp*logq = 42.75990869985282845 -------------- ************************************* p = 653; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.920488496851802370 E18 -------------- Searches starting with [653,739]-exponents: u = 1, v = 52 n_start has 152 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(653,739) = 0.5578479088259726839 D2(653,739) = 0.009343471449297649787 C1(653,739) = 0.7632796232614121348 C2(653,739) = 1.522886470845932387 C3(653,739) = 4.164274349748368230 C4(653,739) = 5912 Sum = 4030.585754671267631 Averaged sum = 0.4026961489330869848 logp*logq = 42.81274793647502413 -------------- ************************************* p = 653; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.060087877760401604 E18 -------------- Searches starting with [653,743]-exponents: u = 1, v = 50 n_start has 147 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(653,743) = 0.6294220023309346283 D2(653,743) = 0.007784212178539716272 C1(653,743) = 0.9286189373875213460 C2(653,743) = 1.533614124196564792 C3(653,743) = 5.672076283286602321 C4(653,743) = 5944 Sum = 3002.088904863212083 Averaged sum = 0.2999389454354293219 logp*logq = 42.84773629204079079 -------------- ************************************* p = 653; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.351931468244965096 E18 -------------- Searches starting with [653,751]-exponents: u = 1, v = 46 n_start has 136 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(653,751) = 0.6968104288936207727 D2(653,751) = 0.03136389942827127764 C1(653,751) = 0.9595952159963817862 C2(653,751) = 1.577362884491600707 C3(653,751) = 6.010144452565252933 C4(653,751) = 6008 Sum = 4058.739429208038597 Averaged sum = 0.4055089848344528521 logp*logq = 42.91715143613611645 -------------- ************************************* p = 653; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.582284034252685176 E18 -------------- Searches starting with [653,757]-exponents: u = 1, v = 43 n_start has 127 digits starting right neighbors generation We generated 214 left neighbors We generated 9796 right neighbors We generated 10009 non-negative rho_i D1(653,757) = 0.6787129534810051645 D2(653,757) = 0.04718555575313228799 C1(653,757) = 1.011941861508305102 C2(653,757) = 1.607794685787914612 C3(653,757) = 6.627865273834299316 C4(653,757) = 6056 Sum = 4292.631227109546049 Averaged sum = 0.4288771332909927115 logp*logq = 42.96872924514576054 -------------- ************************************* p = 653; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.741512414288964368 E18 -------------- Searches starting with [653,761]-exponents: u = 1, v = 42 n_start has 124 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(653,761) = 0.7450245344909704031 D2(653,761) = 0.01016350627674914480 C1(653,761) = 1.031088492544284195 C2(653,761) = 1.585977054390605655 C3(653,761) = 6.869333833587531026 C4(653,761) = 6088 Sum = 4107.040978284698975 Averaged sum = 0.4103347965116094490 logp*logq = 43.00288783345079400 -------------- ************************************* p = 653; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.074043204478118903 E18 -------------- Searches starting with [653,769]-exponents: u = 1, v = 39 n_start has 116 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(653,769) = 0.6450819042385948017 D2(653,769) = 0.03775702253236526862 C1(653,769) = 0.8960455777311818506 C2(653,769) = 1.630581497510486681 C3(653,769) = 5.337069961750659862 C4(653,769) = 6152 Sum = 4188.710673005217247 Averaged sum = 0.4184944223204333347 logp*logq = 43.07066964990912797 -------------- ************************************* p = 653; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.247568942238986683 E18 -------------- Searches starting with [653,773]-exponents: u = 1, v = 38 n_start has 113 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(653,773) = 0.5774535033546804752 D2(653,773) = 0.04542316334667118611 C1(653,773) = 0.8244503248912255829 C2(653,773) = 1.647204736569042558 C3(653,773) = 4.668640265713525136 C4(653,773) = 6184 Sum = 4008.884529708841596 Averaged sum = 0.4005279777908723745 logp*logq = 43.10429658463045764 -------------- ************************************* p = 653; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.894997051646669996 E18 -------------- Searches starting with [653,787]-exponents: u = 1, v = 34 n_start has 102 digits starting right neighbors generation We generated 137 left neighbors We generated 9873 right neighbors We generated 10009 non-negative rho_i D1(653,787) = 0.5851135651233874272 D2(653,787) = 0.07657601056078893094 C1(653,787) = 0.8054622142448837023 C2(653,787) = 1.707663616965917685 C3(653,787) = 4.505864510919806781 C4(653,787) = 6296 Sum = 4085.360159041588562 Averaged sum = 0.4081686641064630394 logp*logq = 43.22063570773727661 -------------- ************************************* p = 653; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.397729847888439258 E18 -------------- Searches starting with [653,797]-exponents: u = 1, v = 32 n_start has 96 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(653,797) = 0.7555311563919543348 D2(653,797) = 0.08008976235662935891 C1(653,797) = 1.091362661602140099 C2(653,797) = 1.732837601198426657 C3(653,797) = 7.688435970903138571 C4(653,797) = 6376 Sum = 4331.154507913102076 Averaged sum = 0.4327259973936559173 logp*logq = 43.30247489006609494 -------------- ************************************* p = 653; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.048433891854410872 E18 -------------- Searches starting with [653,809]-exponents: u = 1, v = 30 n_start has 91 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(653,809) = 0.7772327189615890652 D2(653,809) = 0.09086888923985898985 C1(653,809) = 1.078087629685500278 C2(653,809) = 1.767553820209733580 C3(653,809) = 7.500028519060627459 C4(653,809) = 6472 Sum = 4102.894024049290509 Averaged sum = 0.4099204739783485372 logp*logq = 43.39933712304021449 -------------- ************************************* p = 653; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.162143813317686734 E18 -------------- Searches starting with [653,811]-exponents: u = 1, v = 29 n_start has 88 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(653,811) = 0.7440818822845823903 D2(653,811) = 0.02473801515880361161 C1(653,811) = 1.149051984881154568 C2(653,811) = 1.713510640688897396 C3(653,811) = 8.563736814387079627 C4(653,811) = 6488 Sum = 4042.081380696081393 Averaged sum = 0.4038446778595345582 logp*logq = 43.41534102531740407 -------------- ************************************* p = 653; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.754252773402781381 E18 -------------- Searches starting with [653,821]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(653,821) = 0.6535644563406919189 D2(653,821) = 0.06987493003681338086 C1(653,821) = 0.9263802847887572377 C2(653,821) = 1.772771181430049355 C3(653,821) = 5.648394115566374796 C4(653,821) = 6568 Sum = 3973.254780760566226 Averaged sum = 0.3969682066900355906 logp*logq = 43.49477311170781950 -------------- ************************************* p = 653; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.877508756640048305 E18 -------------- Searches starting with [653,823]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(653,823) = 1.111488934331426784 D2(653,823) = 0.1011763834215043625 C1(653,823) = 1.728406034778659066 C2(653,823) = 1.804424382545352660 C3(653,823) = 25.28796075206267420 C4(653,823) = 6584 Sum = 2167.844287294344649 Averaged sum = 0.2165894981810715005 logp*logq = 43.51054338014289962 -------------- ************************************* p = 653; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.128997411353935269 E18 -------------- Searches starting with [653,827]-exponents: u = 1, v = 27 n_start has 82 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(653,827) = 0.5942714760195814161 D2(653,827) = 0.04881639140177591209 C1(653,827) = 0.8689827871169210489 C2(653,827) = 1.765808797030615506 C3(653,827) = 5.073837467990100898 C4(653,827) = 6616 Sum = 3786.095392338827493 Averaged sum = 0.3782690970465408626 logp*logq = 43.54196927021138762 -------------- ************************************* p = 653; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.257266390799828237 E18 -------------- Searches starting with [653,829]-exponents: u = 1, v = 27 n_start has 82 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(653,829) = 0.6669159499999946534 D2(653,829) = 0.07685723098834597305 C1(653,829) = 0.9098918605864174831 C2(653,829) = 1.794200575108742025 C3(653,829) = 5.476986321756419028 C4(653,829) = 6632 Sum = 3664.952444724105240 Averaged sum = 0.3661656953465985852 logp*logq = 43.55762526122743740 -------------- ************************************* p = 653; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.924597874881347853 E18 -------------- Searches starting with [653,839]-exponents: u = 1, v = 25 n_start has 76 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(653,839) = 0.7113126677331495934 D2(653,839) = 0.1023688755720904068 C1(653,839) = 0.9651909705332827872 C2(653,839) = 1.835255023005191675 C3(653,839) = 6.073329953460346032 C4(653,839) = 6712 Sum = 3767.408616306012913 Averaged sum = 0.3764020997408345402 logp*logq = 43.63534294450776810 -------------- ************************************* p = 653; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.935099192642141723 E18 -------------- Searches starting with [653,853]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(653,853) = 0.7155582031225154205 D2(653,853) = 0.03759467134128779873 C1(653,853) = 1.005335398680087744 C2(653,853) = 1.803093235947354334 C3(653,853) = 6.546532579071565002 C4(653,853) = 6824 Sum = 4198.353806395694314 Averaged sum = 0.4194578685578673508 logp*logq = 43.74260553400802346 -------------- ************************************* p = 653; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.024097759461591148 E19 -------------- Searches starting with [653,857]-exponents: u = 1, v = 23 n_start has 71 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(653,857) = 0.6268182380031003707 D2(653,857) = 0.08620653016298511788 C1(653,857) = 0.8609342348948602832 C2(653,857) = 1.852395927043498528 C3(653,857) = 4.998085679748625289 C4(653,857) = 6856 Sum = 3919.976798208762668 Averaged sum = 0.3916451991416487829 logp*logq = 43.77292875717159325 -------------- ************************************* p = 653; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.039687896424718770 E19 -------------- Searches starting with [653,859]-exponents: u = 1, v = 23 n_start has 71 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(653,859) = 0.6100359769992518100 D2(653,859) = 0.1133389571439771594 C1(653,859) = 0.8749332712107057968 C2(653,859) = 1.879872553766856411 C3(653,859) = 5.130579768455452762 C4(653,859) = 6872 Sum = 4144.293124973354985 Averaged sum = 0.4140566615019837131 logp*logq = 43.78803733540963929 -------------- ************************************* p = 653; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.071471009172836766 E19 -------------- Searches starting with [653,863]-exponents: u = 1, v = 23 n_start has 71 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(653,863) = 0.8046534754131428072 D2(653,863) = 0.02808027802411136379 C1(653,863) = 1.133388618765145352 C2(653,863) = 1.811889369446256130 C3(653,863) = 8.316673651256152081 C4(653,863) = 6904 Sum = 4089.483936583282233 Averaged sum = 0.4085806710543792819 logp*logq = 43.81814924615073541 -------------- ************************************* p = 653; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.189265597025922277 E19 -------------- Searches starting with [653,877]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(653,877) = 0.9942565536892926023 D2(653,877) = 0.04766393802578677588 C1(653,877) = 1.586899832010031549 C2(653,877) = 1.851615552906924756 C3(653,877) = 19.41135964163485762 C4(653,877) = 7016 Sum = 4418.818662723127917 Averaged sum = 0.4414845301951371682 logp*logq = 43.92245273814135607 -------------- ************************************* p = 653; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.224865759226024211 E19 -------------- Searches starting with [653,881]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(653,881) = 0.6288755660165711653 D2(653,881) = 0.09232335627862265531 C1(653,881) = 0.9074260014052443296 C2(653,881) = 1.896955159049127670 C3(653,881) = 5.451803147435354106 C4(653,881) = 7048 Sum = 4134.616813368091720 Averaged sum = 0.4130899004264253891 logp*logq = 43.95194802057347327 -------------- ************************************* p = 653; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.243001120271214243 E19 -------------- Searches starting with [653,883]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(653,883) = 0.7780232749389548482 D2(653,883) = 0.1169915010965087879 C1(653,883) = 1.160010748432765906 C2(653,883) = 1.921962232973751720 C3(653,883) = 8.740943814051280750 C4(653,883) = 7064 Sum = 3911.861754421210490 Averaged sum = 0.3908344244601069527 logp*logq = 43.96664548067908599 -------------- ************************************* p = 653; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.279953856310995880 E19 -------------- Searches starting with [653,887]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(653,887) = 0.7433174483943185742 D2(653,887) = 0.01281765420645056386 C1(653,887) = 1.027393986648105131 C2(653,887) = 1.837522716964681415 C3(653,887) = 6.822065164485250852 C4(653,887) = 7096 Sum = 3901.049622875308160 Averaged sum = 0.3897541835223606914 logp*logq = 43.99594079441155122 -------------- ************************************* p = 653; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.478971309401757227 E19 -------------- Searches starting with [653,907]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(653,907) = 0.5534020993800336456 D2(653,907) = 0.05606596359936670579 C1(653,907) = 0.7874654246503419985 C2(653,907) = 1.904679359625124850 C3(653,907) = 4.356828670414129346 C4(653,907) = 7256 Sum = 4073.808329413829548 Averaged sum = 0.4070145198734968076 logp*logq = 44.14046355178082773 -------------- ************************************* p = 653; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.521761617197258007 E19 -------------- Searches starting with [653,911]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(653,911) = 0.6775573741256607066 D2(653,911) = 0.09627673722067002865 C1(653,911) = 1.018557959516297210 C2(653,911) = 1.945556809105195390 C3(653,911) = 6.710329265478789854 C4(653,911) = 7288 Sum = 3556.781536607049305 Averaged sum = 0.3553583311626585378 logp*logq = 44.16898538935329395 -------------- ************************************* p = 653; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.610490047936176281 E19 -------------- Searches starting with [653,919]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(653,919) = 0.9279336457144792825 D2(653,919) = 0.008768205796859388823 C1(653,919) = 1.506848680336909632 C2(653,919) = 1.881625158764254575 C3(653,919) = 16.71398398533275598 C4(653,919) = 7352 Sum = 3931.065178254770539 Averaged sum = 0.3927530400893965970 logp*logq = 44.22565527716988501 -------------- ************************************* p = 653; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.727518755461196535 E19 -------------- Searches starting with [653,929]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(653,929) = 0.5703958377063258417 D2(653,929) = 0.09718739158801006641 C1(653,929) = 0.8034267798513275103 C2(653,929) = 1.971696110196025818 C3(653,929) = 4.488756073623418196 C4(653,929) = 7432 Sum = 4065.457298542782442 Averaged sum = 0.4061801677033452335 logp*logq = 44.29580290048397025 -------------- ************************************* p = 653; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.826246373197293698 E19 -------------- Searches starting with [653,937]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(653,937) = 0.8289016810038338581 D2(653,937) = 0.1177315713220531743 C1(653,937) = 1.355041736991169613 C2(653,937) = 1.292153092912031051 C3(653,937) = 12.58523173324636990 C4(653,937) = 7496 Sum = 3516.086577938688102 Averaged sum = 0.3512924945487749127 logp*logq = 44.35137946503873938 -------------- ************************************* p = 653; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.877372686253667148 E19 -------------- Searches starting with [653,941]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(653,941) = 0.6811727948442199589 D2(653,941) = 0.02520067026513306727 C1(653,941) = 0.9760403905011619386 C2(653,941) = 1.925890933748505610 C3(653,941) = 6.197736969667781602 C4(653,941) = 7528 Sum = 4248.241466814077780 Averaged sum = 0.4244421487475349965 logp*logq = 44.37899005899275894 -------------- ************************************* p = 653; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.956329269428388213 E19 -------------- Searches starting with [653,947]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(653,947) = 0.5728590867163231472 D2(653,947) = 0.07417931915114832281 C1(653,947) = 0.7931676843593418218 C2(653,947) = 1.975847242245046818 C3(653,947) = 4.403509078307151731 C4(653,947) = 7576 Sum = 3830.432736930518110 Averaged sum = 0.3826988447327922979 logp*logq = 44.42018666248578923 -------------- ************************************* p = 653; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.038076168578476730 E19 -------------- Searches starting with [653,953]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(653,953) = 0.7495184601849137658 D2(653,953) = 0.1161452139064970501 C1(653,953) = 1.038694988479913069 C2(653,953) = 1.450981621945973515 C3(653,953) = 6.967687565857122527 C4(653,953) = 7624 Sum = 4111.181621322547199 Averaged sum = 0.4107484884926113697 logp*logq = 44.46112307516882556 -------------- ************************************* p = 653; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.240123466563818863 E19 -------------- Searches starting with [653,967]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(653,967) = 0.9236126618424175868 D2(653,967) = 0.04597111739299592358 C1(653,967) = 1.409138380102205366 C2(653,967) = 1.977372657333270401 C3(653,967) = 13.92420528448873115 C4(653,967) = 7736 Sum = 3982.536992502154826 Averaged sum = 0.3978955932163207939 logp*logq = 44.55564775023652497 -------------- ************************************* p = 653; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.300868723949007094 E19 -------------- Searches starting with [653,971]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(653,971) = 0.9477370795000442615 D2(653,971) = 0.07708142881654920243 C1(653,971) = 1.396024206231167690 C2(653,971) = 2.009123226986653261 C3(653,971) = 13.58707259183526118 C4(653,971) = 7768 Sum = 4758.416329630128900 Averaged sum = 0.4754137605784922470 logp*logq = 44.58240352457377834 -------------- ************************************* p = 653; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.394595836996052959 E19 -------------- Searches starting with [653,977]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(653,977) = 0.7091102037260457343 D2(653,977) = 0.09758417216368906385 C1(653,977) = 1.176935925298573639 C2(653,977) = 1.345722810621014808 C3(653,977) = 9.021861754227675812 C4(653,977) = 7816 Sum = 3732.613326819690209 Averaged sum = 0.3729256995523718862 logp*logq = 44.62233123068936769 -------------- ************************************* p = 653; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.491531827379898098 E19 -------------- Searches starting with [653,983]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(653,983) = 0.5814380648485242949 D2(653,983) = 0.1287904407994179459 C1(653,983) = 0.9649908019405800396 C2(653,983) = 1.821512870919798084 C3(653,983) = 6.071058297896603993 C4(653,983) = 7864 Sum = 3824.438641376270133 Averaged sum = 0.3820999741608822193 logp*logq = 44.66201447992946623 -------------- ************************************* p = 653; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.625925959273961028 E19 -------------- Searches starting with [653,991]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(653,991) = 0.9229065577338328369 D2(653,991) = 0.02314542778547740697 C1(653,991) = 1.244074917628659253 C2(653,991) = 1.987562318532322792 C3(653,991) = 10.22802054649553818 C4(653,991) = 7928 Sum = 3384.624591521616434 Averaged sum = 0.3381581168469993440 logp*logq = 44.71455034712015448 -------------- ************************************* p = 653; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.730699782816034318 E19 -------------- Searches starting with [653,997]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 47 left neighbors We generated 9963 right neighbors We generated 10009 non-negative rho_i D1(653,997) = 0.6666566836246532499 D2(653,997) = 0.06419534303118599655 C1(653,997) = 0.9868043668546667871 C2(653,997) = 2.029556865126268063 C3(653,997) = 6.323682442168598603 C4(653,997) = 7976 Sum = 3463.398600343103524 Averaged sum = 0.3460284344433113722 logp*logq = 44.75367467393847911 -------------- ************************************* p = 659; q = 661; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.019054235849122756 E18 -------------- Searches starting with [659,661]-exponents: u = 1, v = 2141 n_start has 6041 digits --- performed 5000 steps in the continued fraction search [659,661]-exponents: u = 719, v = 1421 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(659,661) = 0.6145375539982922306 D2(659,661) = 0.4636666799586600198 C1(659,661) = 0.7644059692663862442 C2(659,661) = 1.362468920242520672 C3(659,661) = 4.177550446816850204 C4(659,661) = 5288 Sum = 6076.677024610117258 Averaged sum = 0.6077284753085425800 logp*logq = 42.14916087559136543 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(659,661) = 0.6145375539982922306 D2(659,661) = 0.4636666799586600198 C1(659,661) = 0.7644059692663862442 C2(659,661) = 1.362468920242520672 C3(659,661) = 4.177550446816850204 C4(659,661) = 5288 Sum = 6076.677024610117258 Averaged sum = 0.6077284753085425800 logp*logq = 42.14916087559136543 -------------- ************************************* p = 659; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.269153802845700293 E18 -------------- Searches starting with [659,673]-exponents: u = 1, v = 308 n_start has 874 digits --- performed 5000 steps in the continued fraction search [659,673]-exponents: u = 192, v = 101 --- starting right neighbors generation We generated 9978 left neighbors We generated 32 right neighbors We generated 10009 non-negative rho_i D1(659,673) = 0.6958876959526636596 D2(659,673) = 0.001187349108359629348 C1(659,673) = 0.9227775863278956609 C2(659,673) = 1.147594776087872152 C3(659,673) = 5.617794861852670485 C4(659,673) = 5384 Sum = 5093.798117635329961 Averaged sum = 0.5089217821595893657 logp*logq = 42.26593866181182166 -------------- ************************************* p = 659; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.358134044873093120 E18 -------------- Searches starting with [659,677]-exponents: u = 1, v = 240 n_start has 683 digits --- performed 5000 steps in the continued fraction search [659,677]-exponents: u = 170, v = 50 --- starting right neighbors generation We generated 5966 left neighbors We generated 4044 right neighbors We generated 10009 non-negative rho_i D1(659,677) = 0.7612960349901614326 D2(659,677) = 0.006457867841699527248 C1(659,677) = 1.020710221860590768 C2(659,677) = 1.192299972164929532 C3(659,677) = 6.747080344164751995 C4(659,677) = 5416 Sum = 4946.128127897165381 Averaged sum = 0.4941680615343356361 logp*logq = 42.30440232124261689 -------------- ************************************* p = 659; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.497130091184047467 E18 -------------- Searches starting with [659,683]-exponents: u = 1, v = 181 n_start has 516 digits starting right neighbors generation We generated 3469 left neighbors We generated 6541 right neighbors We generated 10009 non-negative rho_i D1(659,683) = 0.5823867937258202968 D2(659,683) = 0.009675699493897221091 C1(659,683) = 0.7917031998878646324 C2(659,683) = 1.244454083880665218 C3(659,683) = 4.396378298162770881 C4(659,683) = 5464 Sum = 4655.260724883109989 Averaged sum = 0.4651074757601268847 logp*logq = 42.36167378282576299 -------------- ************************************* p = 659; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.693189966273381341 E18 -------------- Searches starting with [659,691]-exponents: u = 1, v = 136 n_start has 389 digits starting right neighbors generation We generated 1964 left neighbors We generated 8046 right neighbors We generated 10009 non-negative rho_i D1(659,691) = 0.7702491681398955307 D2(659,691) = 0.01053787074713878492 C1(659,691) = 1.062633956220870461 C2(659,691) = 1.298698001007378049 C3(659,691) = 7.297435118714956692 C4(659,691) = 5528 Sum = 4796.352115910699782 Averaged sum = 0.4792039280558197404 logp*logq = 42.43725802599689001 -------------- ************************************* p = 659; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.956438925895804503 E18 -------------- Searches starting with [659,701]-exponents: u = 1, v = 105 n_start has 302 digits starting right neighbors generation We generated 1312 left neighbors We generated 8698 right neighbors We generated 10009 non-negative rho_i D1(659,701) = 0.8711906135591266944 D2(659,701) = 0.003177526406352497211 C1(659,701) = 1.220600985885843136 C2(659,701) = 1.347060094429385025 C3(659,701) = 9.805861894763656448 C4(659,701) = 5608 Sum = 4085.392550217478301 Averaged sum = 0.4081719003114675094 logp*logq = 42.53051715238870989 -------------- ************************************* p = 659; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.182413493805695576 E18 -------------- Searches starting with [659,709]-exponents: u = 1, v = 88 n_start has 254 digits starting right neighbors generation We generated 854 left neighbors We generated 9156 right neighbors We generated 10009 non-negative rho_i D1(659,709) = 0.6290304006986071575 D2(659,709) = 0.01739111070421459412 C1(659,709) = 0.8904908175926236392 C2(659,709) = 1.397314868251224120 C3(659,709) = 5.288585826216817498 C4(659,709) = 5672 Sum = 4544.813600163690755 Averaged sum = 0.4540726945912369622 logp*logq = 42.60417154313642616 -------------- ************************************* p = 659; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.485278125072803961 E18 -------------- Searches starting with [659,719]-exponents: u = 1, v = 74 n_start has 215 digits starting right neighbors generation We generated 647 left neighbors We generated 9363 right neighbors We generated 10009 non-negative rho_i D1(659,719) = 0.8958378972050621175 D2(659,719) = 0.01363887802980740250 C1(659,719) = 1.229794139177115293 C2(659,719) = 1.435572332267911231 C3(659,719) = 9.975928033202870878 C4(659,719) = 5752 Sum = 4036.375890728834612 Averaged sum = 0.4032746418951778012 logp*logq = 42.69507952125461317 -------------- ************************************* p = 659; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.744801010860114658 E18 -------------- Searches starting with [659,727]-exponents: u = 1, v = 66 n_start has 192 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(659,727) = 0.7687066481606946022 D2(659,727) = 0.03329473775615842744 C1(659,727) = 1.110652279183840928 C2(659,727) = 1.482918847421247539 C3(659,727) = 7.983166649877079934 C4(659,727) = 5816 Sum = 3442.219751966056708 Averaged sum = 0.3439124539880164560 logp*logq = 42.76690015483351954 -------------- ************************************* p = 659; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.950006379144146475 E18 -------------- Searches starting with [659,733]-exponents: u = 1, v = 60 n_start has 175 digits starting right neighbors generation We generated 412 left neighbors We generated 9598 right neighbors We generated 10009 non-negative rho_i D1(659,733) = 1.146971037678686707 D2(659,733) = 0.01943769698737727264 C1(659,733) = 1.666766280049049756 C2(659,733) = 1.491550185541763094 C3(659,733) = 22.58929969442319917 C4(659,733) = 5864 Sum = 6082.529470578845937 Averaged sum = 0.6077060116474019319 logp*logq = 42.82024886777775039 -------------- ************************************* p = 659; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.164644817228792852 E18 -------------- Searches starting with [659,739]-exponents: u = 1, v = 56 n_start has 164 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(659,739) = 0.5392829705472973220 D2(659,739) = 0.01608766309560865822 C1(659,739) = 0.7876944983035888254 C2(659,739) = 1.508388457321315868 C3(659,739) = 4.363538525736540822 C4(659,739) = 5912 Sum = 4284.809715081864999 Averaged sum = 0.4280956853913342990 logp*logq = 42.87316266789897474 -------------- ************************************* p = 659; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.313150980646666785 E18 -------------- Searches starting with [659,743]-exponents: u = 1, v = 54 n_start has 158 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(659,743) = 0.7485198663102815398 D2(659,743) = 0.02929003726234873322 C1(659,743) = 1.097885388448251982 C2(659,743) = 1.532641595621839425 C3(659,743) = 7.794795718515489862 C4(659,743) = 5944 Sum = 3135.432713421295591 Averaged sum = 0.3132613361396039155 logp*logq = 42.90820039689219829 -------------- ************************************* p = 659; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.623637909341176789 E18 -------------- Searches starting with [659,751]-exponents: u = 1, v = 49 n_start has 144 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(659,751) = 1.092609938092145047 D2(659,751) = 0.03050359475276071251 C1(659,751) = 1.499385028056675428 C2(659,751) = 1.557779836658140179 C3(659,751) = 16.51734078965277400 C4(659,751) = 6008 Sum = 4083.493168282963495 Averaged sum = 0.4079821329086785389 logp*logq = 42.97771349539338214 -------------- ************************************* p = 659; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.868726548859430983 E18 -------------- Searches starting with [659,757]-exponents: u = 1, v = 46 n_start has 136 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(659,757) = 0.6378988761742186352 D2(659,757) = 0.009102570871513267727 C1(659,757) = 0.9461002521853428644 C2(659,757) = 1.556185326265043548 C3(659,757) = 5.868278509700888512 C4(659,757) = 6056 Sum = 4230.159430751033130 Averaged sum = 0.4226355710611482795 logp*logq = 43.02936408785255806 -------------- ************************************* p = 659; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.038151277516284717 E18 -------------- Searches starting with [659,761]-exponents: u = 1, v = 45 n_start has 133 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(659,761) = 0.7382006205344121793 D2(659,761) = 0.03874979528945229971 C1(659,761) = 1.098832229857804301 C2(659,761) = 1.593203678488626318 C3(659,761) = 7.808612123451306754 C4(659,761) = 6088 Sum = 2844.885604851618514 Averaged sum = 0.2842327510092535232 logp*logq = 43.06357087866823934 -------------- ************************************* p = 659; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.392001602381521126 E18 -------------- Searches starting with [659,769]-exponents: u = 1, v = 42 n_start has 125 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(659,769) = 0.8731933850887475831 D2(659,769) = 0.02563418264393294035 C1(659,769) = 1.307419032748911346 C2(659,769) = 1.602889617509101386 C3(659,769) = 11.53473107755331008 C4(659,769) = 6152 Sum = 2758.541440368880058 Averaged sum = 0.2756060985481946306 logp*logq = 43.13144834468036588 -------------- ************************************* p = 659; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.576665726730047672 E18 -------------- Searches starting with [659,773]-exponents: u = 1, v = 40 n_start has 119 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(659,773) = 0.7536689684722612657 D2(659,773) = 0.04078277160464054489 C1(659,773) = 1.045622894617546336 C2(659,773) = 1.626396962553745012 C3(659,773) = 7.068907100781265690 C4(659,773) = 6184 Sum = 4123.508818336045683 Averaged sum = 0.4119800997438351167 logp*logq = 43.16512273167532242 -------------- ************************************* p = 659; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.265725298406168931 E18 -------------- Searches starting with [659,787]-exponents: u = 1, v = 36 n_start has 108 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(659,787) = 0.6035344580865897810 D2(659,787) = 0.02298908511584561816 C1(659,787) = 0.8649938556728456366 C2(659,787) = 1.644771434295515950 C3(659,787) = 5.042298479323082926 C4(659,787) = 6296 Sum = 4142.195640801687891 Averaged sum = 0.4138471016886490050 logp*logq = 43.28162602543727022 -------------- ************************************* p = 659; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.800859629682635687 E18 -------------- Searches starting with [659,797]-exponents: u = 1, v = 34 n_start has 102 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(659,797) = 0.6870453807706051437 D2(659,797) = 0.03811805061134134027 C1(659,797) = 0.9204612640505498670 C2(659,797) = 1.680704453137119243 C3(659,797) = 5.593509035088917838 C4(659,797) = 6376 Sum = 2968.305087699927841 Averaged sum = 0.2965636015286170288 logp*logq = 43.36358069421483711 -------------- ************************************* p = 659; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.493589632179545864 E18 -------------- Searches starting with [659,809]-exponents: u = 1, v = 31 n_start has 93 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(659,809) = 0.7127581343489248431 D2(659,809) = 0.06179963185121956603 C1(659,809) = 1.003517947892527493 C2(659,809) = 1.727317436783337418 C3(659,809) = 6.533572521424578032 C4(659,809) = 6472 Sum = 4254.371243160923418 Averaged sum = 0.4250545751984137694 logp*logq = 43.46057961324795336 -------------- ************************************* p = 659; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.614653060989604748 E18 -------------- Searches starting with [659,811]-exponents: u = 1, v = 31 n_start has 93 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(659,811) = 0.5810660969468397026 D2(659,811) = 0.005259758560215903823 C1(659,811) = 0.8046994661008013458 C2(659,811) = 1.682298327133008934 C3(659,811) = 4.504554366739966436 C4(659,811) = 6488 Sum = 3984.903549086492637 Averaged sum = 0.3981320360761807011 logp*logq = 43.47660609925322426 -------------- ************************************* p = 659; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.245096017223715931 E18 -------------- Searches starting with [659,821]-exponents: u = 1, v = 29 n_start has 88 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(659,821) = 0.7214996799257598536 D2(659,821) = 0.05689432240963447553 C1(659,821) = 1.049771793753996170 C2(659,821) = 1.747430213614136176 C3(659,821) = 7.123975158721594559 C4(659,821) = 6568 Sum = 4187.468421117561286 Averaged sum = 0.4183703088338057035 logp*logq = 43.55615027534582002 -------------- ************************************* p = 659; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.376340494320297168 E18 -------------- Searches starting with [659,823]-exponents: u = 1, v = 29 n_start has 88 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(659,823) = 0.7069803948971490082 D2(659,823) = 0.08793020920700576753 C1(659,823) = 0.9705335263166862453 C2(659,823) = 1.778816156892948070 C3(659,823) = 6.142677257228165227 C4(659,823) = 6584 Sum = 3899.595647744710431 Averaged sum = 0.3896089167493965862 logp*logq = 43.57194279781919272 -------------- ************************************* p = 659; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.644137627788519289 E18 -------------- Searches starting with [659,827]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(659,827) = 0.5758098841606952589 D2(659,827) = 0.04373264297500262289 C1(659,827) = 0.7913260124475723051 C2(659,827) = 1.747681562381723375 C3(659,827) = 4.393277828024267518 C4(659,827) = 6616 Sum = 3892.502851991191564 Averaged sum = 0.3889002749516626600 logp*logq = 43.60341303418171126 -------------- ************************************* p = 659; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.780729090168541168 E18 -------------- Searches starting with [659,829]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(659,829) = 0.5275722288386390772 D2(659,829) = 0.07230210338878806140 C1(659,829) = 0.7347812730399252256 C2(659,829) = 1.776600203667345084 C3(659,829) = 3.952371566804221026 C4(659,829) = 6632 Sum = 4017.624985166907276 Averaged sum = 0.4014012374030280024 logp*logq = 43.61909111797474919 -------------- ************************************* p = 659; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.491406381575037913 E18 -------------- Searches starting with [659,839]-exponents: u = 1, v = 26 n_start has 79 digits starting right neighbors generation We generated 80 left neighbors We generated 9930 right neighbors We generated 10009 non-negative rho_i D1(659,839) = 0.6748549537031365217 D2(659,839) = 0.1083413902799952478 C1(659,839) = 1.053652581942469493 C2(659,839) = 1.827426735279908307 C3(659,839) = 7.175872835535330531 C4(659,839) = 6712 Sum = 3667.022086313371466 Averaged sum = 0.3663724734052724015 logp*logq = 43.69691847169644562 -------------- ************************************* p = 659; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.056768489325099013 E19 -------------- Searches starting with [659,853]-exponents: u = 1, v = 25 n_start has 77 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(659,853) = 0.6246453175141104831 D2(659,853) = 0.05874997666045280022 C1(659,853) = 0.9832611498557349683 C2(659,853) = 1.808692186293949302 C3(659,853) = 6.290660661153481776 C4(659,853) = 6824 Sum = 3685.029227918704103 Averaged sum = 0.3681715683803281150 logp*logq = 43.80433242360273272 -------------- ************************************* p = 659; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.089350525139990665 E19 -------------- Searches starting with [659,857]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(659,857) = 0.5549052154132748305 D2(659,857) = 0.1129318713730422179 C1(659,857) = 0.7938420827139888052 C2(659,857) = 1.863560963563455677 C3(659,857) = 4.414001284199158779 C4(659,857) = 6856 Sum = 3890.984819390731415 Averaged sum = 0.3887486081917006109 logp*logq = 43.83469843704423687 -------------- ************************************* p = 659; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.105957602962729429 E19 -------------- Searches starting with [659,859]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(659,859) = 0.8877659326374615892 D2(659,859) = 0.01359611093046985079 C1(659,859) = 1.310077215385116896 C2(659,859) = 1.780129707553349102 C3(659,859) = 11.59222220272576355 C4(659,859) = 6872 Sum = 4323.726860659077051 Averaged sum = 0.4319839005554078381 logp*logq = 43.84982833558383897 -------------- ************************************* p = 659; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.139815003407047255 E19 -------------- Searches starting with [659,863]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(659,863) = 0.7861423768808537150 D2(659,863) = 0.05849183407973422938 C1(659,863) = 1.242957553228658227 C2(659,863) = 1.825711416273974931 C3(659,863) = 10.22458896266363557 C4(659,863) = 6904 Sum = 2386.305861572734920 Averaged sum = 0.2384160117467014607 logp*logq = 43.87998273841170291 -------------- ************************************* p = 659; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.265309365799157979 E19 -------------- Searches starting with [659,877]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(659,877) = 0.5262323202673967357 D2(659,877) = 0.09282983585171283754 C1(659,877) = 0.7571365336475857366 C2(659,877) = 1.879029257171141959 C3(659,877) = 4.121134517631693556 C4(659,877) = 7016 Sum = 3790.217257567142229 Averaged sum = 0.3786809129350726575 logp*logq = 43.98443341711093063 -------------- ************************************* p = 659; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.303240108277135073 E19 -------------- Searches starting with [659,881]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(659,881) = 0.6394767838314708895 D2(659,881) = 0.003726094356071119166 C1(659,881) = 0.9210054070821234665 C2(659,881) = 1.808357897126576134 C3(659,881) = 5.599204732319364175 C4(659,881) = 7048 Sum = 4147.386158594857562 Averaged sum = 0.4143656867414184796 logp*logq = 44.01397032148165953 -------------- ************************************* p = 659; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.322563309731656891 E19 -------------- Searches starting with [659,883]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(659,883) = 0.5796524860477320160 D2(659,883) = 0.02282008228589485177 C1(659,883) = 0.9254642752632968326 C2(659,883) = 1.827790814163137783 C3(659,883) = 5.646095965284763466 C4(659,883) = 7064 Sum = 3788.036617753055959 Averaged sum = 0.3784630450347742990 logp*logq = 44.02868852174406416 -------------- ************************************* p = 659; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.361937622669268345 E19 -------------- Searches starting with [659,887]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(659,887) = 0.6107184186624546480 D2(659,887) = 0.06400101703574447074 C1(659,887) = 0.9750220270987974186 C2(659,887) = 1.869647295034226722 C3(659,887) = 6.194463180813444247 C4(659,887) = 7096 Sum = 3923.396949447955670 Averaged sum = 0.3919869067287397013 logp*logq = 44.05802517523154238 -------------- ************************************* p = 659; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.574023543115493559 E19 -------------- Searches starting with [659,907]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(659,907) = 0.7273222118135702332 D2(659,907) = 0.1326435694115593979 C1(659,907) = 1.054420746177267206 C2(659,907) = 1.960703309027686430 C3(659,907) = 7.186190212538685277 C4(659,907) = 7256 Sum = 3875.488609289661942 Averaged sum = 0.3872003805864383996 logp*logq = 44.20275187427688390 -------------- ************************************* p = 659; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.619629133722993493 E19 -------------- Searches starting with [659,911]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(659,911) = 0.8622513157301188108 D2(659,911) = 0.01317149793950942911 C1(659,911) = 1.391985683728327995 C2(659,911) = 1.862451569824034791 C3(659,911) = 13.51140094881284071 C4(659,911) = 7288 Sum = 1792.540800882889872 Averaged sum = 0.1790928964814556771 logp*logq = 44.23131396012211259 -------------- ************************************* p = 659; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.714200943922601957 E19 -------------- Searches starting with [659,919]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(659,919) = 0.7985661243314276925 D2(659,919) = 0.08753591035054591253 C1(659,919) = 1.200775826259400491 C2(659,919) = 1.938140541490143037 C3(659,919) = 9.448914773155060876 C4(659,919) = 7352 Sum = 3907.963766984173785 Averaged sum = 0.3904449762198195409 logp*logq = 44.28806381701841199 -------------- ************************************* p = 659; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.838947986200614352 E19 -------------- Searches starting with [659,929]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(659,929) = 0.6938859932661693553 D2(659,929) = 0.01716222551719286172 C1(659,929) = 1.127111064305768636 C2(659,929) = 1.891670944125208614 C3(659,929) = 8.232742900900239130 C4(659,929) = 7432 Sum = 3787.940128745294523 Averaged sum = 0.3784534048102002721 logp*logq = 44.35831042836822989 -------------- ************************************* p = 659; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.944196249408687265 E19 -------------- Searches starting with [659,937]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(659,937) = 0.6720358853364643179 D2(659,937) = 0.08704738812353537388 C1(659,937) = 0.9154067547986969518 C2(659,937) = 1.962864688573330774 C3(659,937) = 5.540878165659388722 C4(659,937) = 7496 Sum = 3796.528694548045596 Averaged sum = 0.3793114891146014183 logp*logq = 44.41396541917178884 -------------- ************************************* p = 659; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.998702477194476345 E19 -------------- Searches starting with [659,941]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(659,941) = 0.5196262187978756685 D2(659,941) = 0.1276146561426069292 C1(659,941) = 0.8497761472349916032 C2(659,941) = 2.004082037646907122 C3(659,941) = 4.900803735266855832 C4(659,941) = 7528 Sum = 4021.475101273274719 Averaged sum = 0.4017859028147941571 logp*logq = 44.44161497550730896 -------------- ************************************* p = 659; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.082882905283899122 E19 -------------- Searches starting with [659,947]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(659,947) = 0.7140537045482205098 D2(659,947) = 0.001549482582669207220 C1(659,947) = 0.9688444787043197679 C2(659,947) = 1.903217405676567703 C3(659,947) = 6.123302234161716561 C4(659,947) = 7576 Sum = 3841.530755326516369 Averaged sum = 0.3838076486488676560 logp*logq = 44.48286971312756937 -------------- ************************************* p = 659; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.170043310015331736 E19 -------------- Searches starting with [659,953]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(659,953) = 0.7380945575761679900 D2(659,953) = 0.04717203103734541939 C1(659,953) = 1.042668760254514367 C2(659,953) = 1.949811401533504370 C3(659,953) = 7.029956719035141487 C4(659,953) = 7624 Sum = 4121.143709404080285 Averaged sum = 0.4117438015190408917 logp*logq = 44.52386389277247826 -------------- ************************************* p = 659; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.385491513406887571 E19 -------------- Searches starting with [659,967]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(659,967) = 0.7454485609493325335 D2(659,967) = 0.1153931976602953128 C1(659,967) = 1.227832050080044284 C2(659,967) = 1.327378662655853979 C3(659,967) = 9.939385063421873735 C4(659,967) = 7736 Sum = 3701.077659382433188 Averaged sum = 0.3697749684666233578 logp*logq = 44.61852195528042385 -------------- ************************************* p = 659; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.450271216012710105 E19 -------------- Searches starting with [659,971]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(659,971) = 0.8205254811511158488 D2(659,971) = 0.007163069003487570540 C1(659,971) = 1.180554753334346074 C2(659,971) = 1.939204867173591629 C3(659,971) = 9.098221245218621467 C4(659,971) = 7768 Sum = 4543.335455179517059 Averaged sum = 0.4539250130062460844 logp*logq = 44.64531548573001608 -------------- ************************************* p = 659; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.550228003972103231 E19 -------------- Searches starting with [659,977]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(659,977) = 0.8030199229257302160 D2(659,977) = 0.04982579780401519308 C1(659,977) = 1.225467336396126301 C2(659,977) = 1.982823025729654321 C3(659,977) = 9.895521241166906565 C4(659,977) = 7816 Sum = 3606.428086009330401 Averaged sum = 0.3603185219311949646 logp*logq = 44.68529953538246335 -------------- ************************************* p = 659; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.653612757635265444 E19 -------------- Searches starting with [659,983]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(659,983) = 0.5738053872286658015 D2(659,983) = 0.09746855337062550791 C1(659,983) = 0.8272781521062618486 C2(659,983) = 2.031415326803625583 C3(659,983) = 4.698858251195033466 C4(659,983) = 7864 Sum = 3577.011629320589481 Averaged sum = 0.3573795213628323990 logp*logq = 44.72503878319682831 -------------- ************************************* p = 659; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.796956939631122482 E19 -------------- Searches starting with [659,991]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(659,991) = 1.080998829379545628 D2(659,991) = 0.1130258694241207730 C1(659,991) = 1.467904709149783025 C2(659,991) = 1.380243290825617811 C3(659,991) = 15.57287806691377969 C4(659,991) = 7928 Sum = 3996.284825104895616 Averaged sum = 0.3992691402842337512 logp*logq = 44.77764878579015782 -------------- ************************************* p = 659; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.908715444093475893 E19 -------------- Searches starting with [659,997]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(659,997) = 0.7513907211557111775 D2(659,997) = 0.1259554185210614263 C1(659,997) = 1.110641150711554874 C2(659,997) = 1.820796815858167089 C3(659,997) = 7.983000486739960573 C4(659,997) = 7976 Sum = 3700.721360840161926 Averaged sum = 0.3697393706504308048 logp*logq = 44.81682832246561144 -------------- ************************************* p = 661; q = 673; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.314374749904423778 E18 -------------- Searches starting with [661,673]-exponents: u = 1, v = 360 n_start has 1021 digits --- performed 5000 steps in the continued fraction search [661,673]-exponents: u = 51, v = 296 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(661,673) = 0.5253950286204779904 D2(661,673) = 0.05548064925867643113 C1(661,673) = 0.6923082577287156224 C2(661,673) = 1.173869930356487126 C3(661,673) = 3.651720812648808063 C4(661,673) = 5384 Sum = 5181.626975501807628 Averaged sum = 0.5182145190020809708 logp*logq = 42.28567123851673588 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(661,673) = 0.5253950286204779904 D2(661,673) = 0.05548064925867643113 C1(661,673) = 0.6923082577287156224 C2(661,673) = 1.173869930356487126 C3(661,673) = 3.651720812648808063 C4(661,673) = 5384 Sum = 5181.626975501807628 Averaged sum = 0.5182145190020809708 logp*logq = 42.28567123851673588 -------------- ************************************* p = 661; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.405171429494029159 E18 -------------- Searches starting with [661,677]-exponents: u = 1, v = 271 n_start has 770 digits --- performed 5000 steps in the continued fraction search [661,677]-exponents: u = 22, v = 231 --- starting right neighbors generation We generated 7754 left neighbors We generated 2256 right neighbors We generated 10009 non-negative rho_i D1(661,677) = 0.5928599145600984549 D2(661,677) = 0.003093143858098099279 C1(661,677) = 0.7905873544837779956 C2(661,677) = 1.169977583709361237 C3(661,677) = 4.388831650314874159 C4(661,677) = 5416 Sum = 5005.317672216750789 Averaged sum = 0.5000816936973474662 logp*logq = 42.32415285536511369 -------------- ************************************* p = 661; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.547008112768178367 E18 -------------- Searches starting with [661,683]-exponents: u = 1, v = 198 n_start has 565 digits starting right neighbors generation We generated 4168 left neighbors We generated 5842 right neighbors We generated 10009 non-negative rho_i D1(661,683) = 0.6283296808415466440 D2(661,683) = 0.007843352678891002232 C1(661,683) = 0.8504039268781976696 C2(661,683) = 1.227219780040993998 C3(661,683) = 4.908509516724043399 C4(661,683) = 5464 Sum = 4737.628716939176468 Averaged sum = 0.4733368685122566158 logp*logq = 42.38145105511011003 -------------- ************************************* p = 661; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.747081051630074027 E18 -------------- Searches starting with [661,691]-exponents: u = 1, v = 146 n_start has 418 digits starting right neighbors generation We generated 2379 left neighbors We generated 7631 right neighbors We generated 10009 non-negative rho_i D1(661,691) = 0.6275493694621485566 D2(661,691) = 0.004162987837470343330 C1(661,691) = 0.8628091843050319335 C2(661,691) = 1.280302890692267048 C3(661,691) = 5.023759693405732354 C4(661,691) = 5528 Sum = 4444.011361390862308 Averaged sum = 0.4440015347578042070 logp*logq = 42.45707058607853386 -------------- ************************************* p = 661; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.015728958380905127 E18 -------------- Searches starting with [661,701]-exponents: u = 1, v = 110 n_start has 316 digits starting right neighbors generation We generated 1377 left neighbors We generated 8633 right neighbors We generated 10009 non-negative rho_i D1(661,701) = 0.5407973668640392191 D2(661,701) = 0.004996107845826790998 C1(661,701) = 0.7552184758459433632 C2(661,701) = 1.338122358863281262 C3(661,701) = 4.107824266287632006 C4(661,701) = 5608 Sum = 4526.116473720459400 Averaged sum = 0.4522046631751882706 logp*logq = 42.55037325208932883 -------------- ************************************* p = 661; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.246346972655989706 E18 -------------- Searches starting with [661,709]-exponents: u = 1, v = 92 n_start has 266 digits starting right neighbors generation We generated 978 left neighbors We generated 9032 right neighbors We generated 10009 non-negative rho_i D1(661,709) = 0.5687855616815958862 D2(661,709) = 0.005712395142954280591 C1(661,709) = 0.8030004360344670433 C2(661,709) = 1.377573121013862249 C3(661,709) = 4.491945714151223442 C4(661,709) = 5672 Sum = 4470.274781010376599 Averaged sum = 0.4466255151374139873 logp*logq = 42.62406202964971504 -------------- ************************************* p = 661; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.555446936260905441 E18 -------------- Searches starting with [661,719]-exponents: u = 1, v = 77 n_start has 223 digits starting right neighbors generation We generated 744 left neighbors We generated 9266 right neighbors We generated 10009 non-negative rho_i D1(661,719) = 0.6484505922597795566 D2(661,719) = 0.0009206025958169946930 C1(661,719) = 0.9269079000243915436 C2(661,719) = 1.416017534422283911 C3(661,719) = 5.663811564095359877 C4(661,719) = 5752 Sum = 3655.543967897950092 Averaged sum = 0.3652256936654960627 logp*logq = 42.71501244971307353 -------------- ************************************* p = 661; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.820322870388588131 E18 -------------- Searches starting with [661,727]-exponents: u = 1, v = 68 n_start has 198 digits starting right neighbors generation We generated 593 left neighbors We generated 9417 right neighbors We generated 10009 non-negative rho_i D1(661,727) = 0.6232745340130581149 D2(661,727) = 0.001646499601573595035 C1(661,727) = 0.8986717015681288785 C2(661,727) = 1.447274575497155822 C3(661,727) = 5.372383450627088491 C4(661,727) = 5816 Sum = 3472.787504004010673 Averaged sum = 0.3469664805678899663 logp*logq = 42.78686661398373695 -------------- ************************************* p = 661; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.029767007594819815 E18 -------------- Searches starting with [661,733]-exponents: u = 1, v = 62 n_start has 181 digits starting right neighbors generation We generated 426 left neighbors We generated 9584 right neighbors We generated 10009 non-negative rho_i D1(661,733) = 0.6476866834977058282 D2(661,733) = 0.03287606461131000691 C1(661,733) = 0.9390434318264882341 C2(661,733) = 1.496121133441852950 C3(661,733) = 5.793871577799391445 C4(661,733) = 5864 Sum = 4481.747415842775486 Averaged sum = 0.4477717470119667784 logp*logq = 42.84024023368749119 -------------- ************************************* p = 661; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.248844500052032685 E18 -------------- Searches starting with [661,739]-exponents: u = 1, v = 58 n_start has 170 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(661,739) = 0.6236048347426614230 D2(661,739) = 0.04035357408078816138 C1(661,739) = 0.9097293485235691386 C2(661,739) = 1.522855519748723194 C3(661,739) = 5.484680006706123169 C4(661,739) = 5912 Sum = 3228.301134787398431 Averaged sum = 0.3225398276338693606 logp*logq = 42.89317873752174544 -------------- ************************************* p = 661; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.400425103043768609 E18 -------------- Searches starting with [661,743]-exponents: u = 1, v = 55 n_start has 161 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(661,743) = 0.7531503918748472847 D2(661,743) = 0.01642482413166770752 C1(661,743) = 1.051206596057522703 C2(661,743) = 1.514540512866574084 C3(661,743) = 7.146624552189195754 C4(661,743) = 5944 Sum = 4347.743289263587376 Averaged sum = 0.4343833838808659583 logp*logq = 42.92823282447830341 -------------- ************************************* p = 661; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.717347647050191026 E18 -------------- Searches starting with [661,751]-exponents: u = 1, v = 50 n_start has 147 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(661,751) = 0.7036710655903886940 D2(661,751) = 0.02592124827925049584 C1(661,751) = 1.036846290900021741 C2(661,751) = 1.547327904427386365 C3(661,751) = 6.957180629536730870 C4(661,751) = 6008 Sum = 4500.997961428753390 Averaged sum = 0.4496950705793539205 logp*logq = 42.99777837635900750 -------------- ************************************* p = 661; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.967523414090453683 E18 -------------- Searches starting with [661,757]-exponents: u = 1, v = 47 n_start has 139 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(661,757) = 0.7217645534185462146 D2(661,757) = 0.01099687391859092638 C1(661,757) = 1.068724702502658005 C2(661,757) = 1.551639597183512949 C3(661,757) = 7.384725477705937218 C4(661,757) = 6056 Sum = 4506.477487330046903 Averaged sum = 0.4502425304555946551 logp*logq = 43.04945308278110070 -------------- ************************************* p = 661; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.140468225274376797 E18 -------------- Searches starting with [661,761]-exponents: u = 1, v = 46 n_start has 136 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(661,761) = 0.7540075914445421499 D2(661,761) = 0.04405054264798719184 C1(661,761) = 1.120394610436018197 C2(661,761) = 1.591851013396266738 C3(661,761) = 8.134220475445661058 C4(661,761) = 6088 Sum = 2881.589417949172570 Averaged sum = 0.2878998319461657079 logp*logq = 43.08367584362240947 -------------- ************************************* p = 661; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.501679039165123223 E18 -------------- Searches starting with [661,769]-exponents: u = 1, v = 42 n_start has 125 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(661,769) = 0.7569129426548241865 D2(661,769) = 0.03860967529519174075 C1(661,769) = 1.131118182696864176 C2(661,769) = 1.608493014933868938 C3(661,769) = 8.299057952715017271 C4(661,769) = 6152 Sum = 4522.270385079568928 Averaged sum = 0.4518204001478238513 logp*logq = 43.15158499939104034 -------------- ************************************* p = 661; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.690188830441794158 E18 -------------- Searches starting with [661,773]-exponents: u = 1, v = 41 n_start has 122 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(661,773) = 0.8709090516756280985 D2(661,773) = 0.05788439735198873963 C1(661,773) = 1.237656758014430507 C2(661,773) = 1.635855117846170813 C3(661,773) = 10.12956847533358857 C4(661,773) = 6184 Sum = 4578.040121971289033 Averaged sum = 0.4573923590739623372 logp*logq = 43.18527510784979035 -------------- ************************************* p = 661; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.393623203970991809 E18 -------------- Searches starting with [661,787]-exponents: u = 1, v = 37 n_start has 110 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(661,787) = 0.5892482453634804967 D2(661,787) = 0.05217874401340833958 C1(661,787) = 0.8923164097676153692 C2(661,787) = 1.665034552766041478 C3(661,787) = 5.308885449025671192 C4(661,787) = 6296 Sum = 3671.804385313260505 Averaged sum = 0.3668502732853692182 logp*logq = 43.30183279316799643 -------------- ************************************* p = 661; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.939946391993330369 E18 -------------- Searches starting with [661,797]-exponents: u = 1, v = 34 n_start has 102 digits starting right neighbors generation We generated 137 left neighbors We generated 9873 right neighbors We generated 10009 non-negative rho_i D1(661,797) = 0.5762415070499425281 D2(661,797) = 0.07758582280708258478 C1(661,797) = 0.8069505065273091491 C2(661,797) = 1.710451786043323675 C3(661,797) = 4.525263939888859231 C4(661,797) = 6376 Sum = 4078.977018281503983 Averaged sum = 0.4075309239965535001 logp*logq = 43.38382572388506309 -------------- ************************************* p = 661; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.647189958186129850 E18 -------------- Searches starting with [661,809]-exponents: u = 1, v = 32 n_start has 96 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(661,809) = 0.7589577708965217153 D2(661,809) = 0.02297743965940367943 C1(661,809) = 1.019643947128853539 C2(661,809) = 1.688495244591521531 C3(661,809) = 6.736843314823021751 C4(661,809) = 6472 Sum = 3142.437681984796980 Averaged sum = 0.3139612031156755900 logp*logq = 43.48086992852334311 -------------- ************************************* p = 661; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.770793034977069036 E18 -------------- Searches starting with [661,811]-exponents: u = 1, v = 31 n_start has 93 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(661,811) = 0.9443056843600803276 D2(661,811) = 0.05317205153564088727 C1(661,811) = 1.306680001203565325 C2(661,811) = 1.719041920306854276 C3(661,811) = 11.52582553106257290 C4(661,811) = 6488 Sum = 4151.895483693603942 Averaged sum = 0.4148162137769611291 logp*logq = 43.49690389676784545 -------------- ************************************* p = 661; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.414475828174895493 E18 -------------- Searches starting with [661,821]-exponents: u = 1, v = 29 n_start has 88 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(661,821) = 0.8804189730824933639 D2(661,821) = 0.02061707372309559692 C1(661,821) = 1.360072393133199932 C2(661,821) = 1.711152964927597297 C3(661,821) = 12.73658905728880392 C4(661,821) = 6568 Sum = 4513.723472670087531 Averaged sum = 0.4509664774373151695 logp*logq = 43.57648520942018345 -------------- ************************************* p = 661; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.548479501140967216 E18 -------------- Searches starting with [661,823]-exponents: u = 1, v = 29 n_start has 88 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(661,823) = 0.5585594813170312578 D2(661,823) = 0.04836339819337366585 C1(661,823) = 0.7896573822332426240 C2(661,823) = 1.739249345879315968 C3(661,823) = 4.381202468015222499 C4(661,823) = 6584 Sum = 4132.672534480562825 Averaged sum = 0.4128956473654273978 logp*logq = 43.59228510490290922 -------------- ************************************* p = 661; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.821909646493338036 E18 -------------- Searches starting with [661,827]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(661,827) = 1.060673752344278984 D2(661,827) = 0.009695700387244151155 C1(661,827) = 1.644101138023947206 C2(661,827) = 1.713644619793964904 C3(661,827) = 21.66832321501615992 C4(661,827) = 6616 Sum = 5115.799533449571270 Averaged sum = 0.5111199453941024348 logp*logq = 43.62377003368378180 -------------- ************************************* p = 661; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.961375789776592822 E18 -------------- Searches starting with [661,829]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(661,829) = 0.8278282613486704438 D2(661,829) = 0.03552735309656766522 C1(661,829) = 1.172863548591783966 C2(661,829) = 1.739825453375124688 C3(661,829) = 8.973187292954095809 C4(661,829) = 6632 Sum = 4293.065550326961004 Averaged sum = 0.4289205265587931865 logp*logq = 43.63945543705851665 -------------- ************************************* p = 661; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.687025878612733214 E18 -------------- Searches starting with [661,839]-exponents: u = 1, v = 27 n_start has 82 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(661,839) = 0.6181931120757900389 D2(661,839) = 0.06877819784404425208 C1(661,839) = 0.8628400334651198285 C2(661,839) = 1.787863542843957311 C3(661,839) = 5.024049642368087370 C4(661,839) = 6712 Sum = 3875.476806623314123 Averaged sum = 0.3871992013810884327 logp*logq = 43.71731912581205377 -------------- ************************************* p = 661; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.078602755774707146 E19 -------------- Searches starting with [661,853]-exponents: u = 1, v = 25 n_start has 77 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(661,853) = 0.6883227312405650136 D2(661,853) = 0.02646293139233115049 C1(661,853) = 1.012667201274650185 C2(661,853) = 1.776405141025827653 C3(661,853) = 6.649482843380025378 C4(661,853) = 6824 Sum = 3895.847631248585632 Averaged sum = 0.3892344521179524060 logp*logq = 43.82478322575982005 -------------- ************************************* p = 661; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.111873743325652882 E19 -------------- Searches starting with [661,857]-exponents: u = 1, v = 25 n_start has 77 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(661,857) = 1.248803087476261325 D2(661,857) = 0.07534791156773305864 C1(661,857) = 1.965883970368443443 C2(661,857) = 1.825977003758146518 C3(661,857) = 39.56147832773095739 C4(661,857) = 6856 Sum = 2027.250177895817902 Averaged sum = 0.2025427293331819265 logp*logq = 43.85516341609431246 -------------- ************************************* p = 661; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.128832159792450115 E19 -------------- Searches starting with [661,859]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(661,859) = 0.5716928811883411014 D2(661,859) = 0.1026112412641729120 C1(661,859) = 0.7917726413605538276 C2(661,859) = 1.853582565170369261 C3(661,859) = 4.398574608362256948 C4(661,859) = 6872 Sum = 4036.935013795359477 Averaged sum = 0.4033305039260025454 logp*logq = 43.87030037828594556 -------------- ************************************* p = 661; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.163406212376402016 E19 -------------- Searches starting with [661,863]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(661,863) = 0.6757825256192984488 D2(661,863) = 0.02729238065698686297 C1(661,863) = 0.9677170050406294074 C2(661,863) = 1.794511962851227565 C3(661,863) = 6.113163666010361372 C4(661,863) = 6904 Sum = 4239.056241402166903 Averaged sum = 0.4235244521332967232 logp*logq = 43.90046885921276177 -------------- ************************************* p = 661; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.291560962896733504 E19 -------------- Searches starting with [661,877]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(661,877) = 0.9198990030184436355 D2(661,877) = 0.05975927955695026526 C1(661,877) = 1.461420527953380405 C2(661,877) = 1.845958700876379387 C3(661,877) = 15.39565153500123343 C4(661,877) = 7016 Sum = 4236.885911483897597 Averaged sum = 0.4233076142955237883 logp*logq = 44.00496830249866541 -------------- ************************************* p = 661; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.330297005609861094 E19 -------------- Searches starting with [661,881]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(661,881) = 0.8537448032730656853 D2(661,881) = 0.1082375474785070213 C1(661,881) = 1.188544148038949380 C2(661,881) = 1.895112867352457437 C3(661,881) = 9.240323036888851675 C4(661,881) = 7048 Sum = 4151.138523472669056 Averaged sum = 0.4147405858200288796 logp*logq = 44.03451899667862543 -------------- ************************************* p = 661; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.350030657562184423 E19 -------------- Searches starting with [661,883]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(661,883) = 0.5453870494574847204 D2(661,883) = 0.1353973811313448799 C1(661,883) = 0.8103982728100667581 C2(661,883) = 1.922609492648447315 C3(661,883) = 4.554547235979079196 C4(661,883) = 7064 Sum = 3914.249824966468074 Averaged sum = 0.3910730167815434183 logp*logq = 44.04924406838467550 -------------- ************************************* p = 661; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.390241747804162661 E19 -------------- Searches starting with [661,887]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(661,887) = 0.7447459733621131012 D2(661,887) = 0.03453895802545947955 C1(661,887) = 1.189132630908944831 C2(661,887) = 1.840185236023941730 C3(661,887) = 9.250501844283403927 C4(661,887) = 7096 Sum = 3039.844268469388117 Averaged sum = 0.3037110868687569305 logp*logq = 44.07859441819083338 -------------- ************************************* p = 661; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.606843858176080713 E19 -------------- Searches starting with [661,907]-exponents: u = 1, v = 20 n_start has 62 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(661,907) = 0.7376284917949200333 D2(661,907) = 0.09833362780733211867 C1(661,907) = 1.104534233703240292 C2(661,907) = 1.926393367423459151 C3(661,907) = 7.896405636048042182 C4(661,907) = 7256 Sum = 3830.527835001652913 Averaged sum = 0.3827083459887753934 logp*logq = 44.22338868537213924 -------------- ************************************* p = 661; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.653422428841542954 E19 -------------- Searches starting with [661,911]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(661,911) = 0.7472003795727283889 D2(661,911) = 0.1466832292756217011 C1(661,911) = 1.061853241265392518 C2(661,911) = 1.975404963216141646 C3(661,911) = 7.290399404534446066 C4(661,911) = 7288 Sum = 3960.120006034821336 Averaged sum = 0.3956559102842263299 logp*logq = 44.25196410591588966 -------------- ************************************* p = 661; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.750013829660076590 E19 -------------- Searches starting with [661,919]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(661,919) = 0.5760260875658107854 D2(661,919) = 0.05856220441548480148 C1(661,919) = 0.7925643119019373106 C2(661,919) = 1.909166835555081926 C3(661,919) = 4.405094117927693547 C4(661,919) = 7352 Sum = 3772.152287844471699 Averaged sum = 0.3768760403481338495 logp*logq = 44.30874045745396572 -------------- ************************************* p = 661; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.877428643388716604 E19 -------------- Searches starting with [661,929]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(661,929) = 0.7393576474964968267 D2(661,929) = 0.1215446503429174855 C1(661,929) = 1.201120030490540986 C2(661,929) = 1.321626754539427677 C3(661,929) = 9.460302121793332173 C4(661,929) = 7432 Sum = 3377.282300739317807 Averaged sum = 0.3374245479807491065 logp*logq = 44.37901986463632887 -------------- ************************************* p = 661; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.984930839633717902 E19 -------------- Searches starting with [661,937]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(661,937) = 0.6180476028952964864 D2(661,937) = 0.05933830337150215274 C1(661,937) = 0.8702360690707092388 C2(661,937) = 1.935155603821297553 C3(661,937) = 5.094049608317815171 C4(661,937) = 7496 Sum = 4087.543055357590430 Averaged sum = 0.4083867574540503976 logp*logq = 44.43470083892469411 -------------- ************************************* p = 661; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.040605417356939417 E19 -------------- Searches starting with [661,941]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(661,941) = 0.5726083732215190561 D2(661,941) = 0.09660774883444156361 C1(661,941) = 0.8067781586539578578 C2(661,941) = 1.973075130338741756 C3(661,941) = 4.523805069683745851 C4(661,941) = 7528 Sum = 4062.675643824072538 Averaged sum = 0.4059022523552874950 logp*logq = 44.46236330392871944 -------------- ************************************* p = 661; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.126591652914582701 E19 -------------- Searches starting with [661,947]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(661,947) = 0.7909462815159810255 D2(661,947) = 0.1095799912678566381 C1(661,947) = 1.293528924320206289 C2(661,947) = 1.277990120690707603 C3(661,947) = 11.24570912906429091 C4(661,947) = 7576 Sum = 3048.683001111434809 Averaged sum = 0.3045941653623173952 logp*logq = 44.50363730202917519 -------------- ************************************* p = 661; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.215623499763391352 E19 -------------- Searches starting with [661,953]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(661,953) = 1.097826942028292070 D2(661,953) = 0.02326985277571076527 C1(661,953) = 1.573533960657016745 C2(661,953) = 1.925909223271869716 C3(661,953) = 18.98846106178192853 C4(661,953) = 7624 Sum = 5149.699749256927775 Averaged sum = 0.5145069186988638000 logp*logq = 44.54465062050833003 -------------- ************************************* p = 661; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.435704674870954510 E19 -------------- Searches starting with [661,967]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(661,967) = 0.7622518987887767534 D2(661,967) = 0.1031662148288952080 C1(661,967) = 1.255670266675308714 C2(661,967) = 1.302530855480205557 C3(661,967) = 10.47675637760387799 C4(661,967) = 7736 Sum = 3391.107327067061750 Averaged sum = 0.3388058074799741983 logp*logq = 44.63935287575251466 -------------- ************************************* p = 661; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.501879247108321774 E19 -------------- Searches starting with [661,971]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(661,971) = 0.6515000283642346248 D2(661,971) = 0.1299757410965894457 C1(661,971) = 1.073194161498876430 C2(661,971) = 1.420843038457562825 C3(661,971) = 7.446732819118043221 C4(661,971) = 7768 Sum = 3973.423262900386785 Averaged sum = 0.3969850397542598447 logp*logq = 44.66615891522027923 -------------- ************************************* p = 661; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.603989950863904823 E19 -------------- Searches starting with [661,977]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(661,977) = 0.5925044364981485899 D2(661,977) = 0.02688042125505145526 C1(661,977) = 0.8164961999076213319 C2(661,977) = 1.959877649180690583 C3(661,977) = 4.606804165573110233 C4(661,977) = 7816 Sum = 4023.881850738140865 Averaged sum = 0.4020263613486003462 logp*logq = 44.70616163211050048 -------------- ************************************* p = 661; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.709604453134850178 E19 -------------- Searches starting with [661,983]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(661,983) = 0.5710513877742010172 D2(661,983) = 0.07154720596506426148 C1(661,983) = 0.8414408150792285406 C2(661,983) = 2.005493979398064337 C3(661,983) = 4.826887162186912051 C4(661,983) = 7864 Sum = 3792.205898876809288 Averaged sum = 0.3788795982492565979 logp*logq = 44.74591943287271233 -------------- ************************************* p = 661; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.856043371493314792 E19 -------------- Searches starting with [661,991]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(661,991) = 0.9002116964883553271 D2(661,991) = 0.08617530472110997677 C1(661,991) = 1.494671057968016104 C2(661,991) = 1.199948971588890257 C3(661,991) = 16.38377553932598278 C4(661,991) = 7928 Sum = 2106.063046482874188 Averaged sum = 0.2104169294118167836 logp*logq = 44.79855399734599736 -------------- ************************************* p = 661; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.970217132629331158 E19 -------------- Searches starting with [661,997]-exponents: u = 1, v = 15 n_start has 48 digits starting right neighbors generation We generated 32 left neighbors We generated 9978 right neighbors We generated 10009 non-negative rho_i D1(661,997) = 1.801773637858375711 D2(661,997) = 0.1276408254875375974 C1(661,997) = 2.562543433658232742 C2(661,997) = 1.822404926365313378 C3(661,997) = 120.7969121325999650 C4(661,997) = 7976 Sum = 5188.358288827538101 Averaged sum = 0.5183692965158895095 logp*logq = 44.83775182565857508 -------------- ************************************* p = 673; q = 677; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.704410064224017914 E18 -------------- Searches starting with [673,677]-exponents: u = 1, v = 1098 n_start has 3111 digits --- performed 5000 steps in the continued fraction search [673,677]-exponents: u = 614, v = 481 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(673,677) = 0.5953215275114398680 D2(673,677) = 0.3293945790777922075 C1(673,677) = 0.7546151808798757840 C2(673,677) = 1.298798781351204693 C3(673,677) = 4.111766237430666399 C4(673,677) = 5416 Sum = 5774.789035917251217 Averaged sum = 0.5775366572574508668 logp*logq = 42.44141547154611481 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(673,677) = 0.5953215275114398680 D2(673,677) = 0.3293945790777922075 C1(673,677) = 0.7546151808798757840 C2(673,677) = 1.298798781351204693 C3(673,677) = 4.111766237430666399 C4(673,677) = 5416 Sum = 5774.789035917251217 Averaged sum = 0.5775366572574508668 logp*logq = 42.44141547154611481 -------------- ************************************* p = 673; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.864347990750594493 E18 -------------- Searches starting with [673,683]-exponents: u = 1, v = 441 n_start has 1253 digits --- performed 5000 steps in the continued fraction search [673,683]-exponents: u = 204, v = 227 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(673,683) = 0.6189275483430646133 D2(673,683) = 0.1179115509138809924 C1(673,683) = 0.8093016727627141058 C2(673,683) = 1.205379091485631667 C3(673,683) = 4.555401629275056723 C4(673,683) = 5464 Sum = 5293.721678959610881 Averaged sum = 0.5294251104070017883 logp*logq = 42.49887242076041585 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(673,683) = 0.6189275483430646133 D2(673,683) = 0.1179115509138809924 C1(673,683) = 0.8093016727627141058 C2(673,683) = 1.205379091485631667 C3(673,683) = 4.555401629275056723 C4(673,683) = 5464 Sum = 5293.721678959610881 Averaged sum = 0.5294251104070017883 logp*logq = 42.49887242076041585 -------------- ************************************* p = 673; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.089995974291454322 E18 -------------- Searches starting with [673,691]-exponents: u = 1, v = 246 n_start has 702 digits --- performed 5000 steps in the continued fraction search [673,691]-exponents: u = 44, v = 182 --- starting right neighbors generation We generated 6344 left neighbors We generated 3666 right neighbors We generated 10009 non-negative rho_i D1(673,691) = 0.6583656914673829203 D2(673,691) = 0.004038857332834419172 C1(673,691) = 0.8820956002567083760 C2(673,691) = 1.188453372617143661 C3(673,691) = 5.221062629622556955 C4(673,691) = 5528 Sum = 4941.049130535981154 Averaged sum = 0.4936606184969508596 logp*logq = 42.57470146198332817 -------------- ************************************* p = 673; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.393055887115710914 E18 -------------- Searches starting with [673,701]-exponents: u = 1, v = 159 n_start has 456 digits starting right neighbors generation We generated 2744 left neighbors We generated 7266 right neighbors We generated 10009 non-negative rho_i D1(673,701) = 0.6576538990075014328 D2(673,701) = 0.003069759492059132348 C1(673,701) = 0.9001430225421788098 C2(673,701) = 1.264554100802057906 C3(673,701) = 5.400625262303023741 C4(673,701) = 5608 Sum = 4727.277154841679722 Averaged sum = 0.4723026431053731363 logp*logq = 42.66826263085773571 -------------- ************************************* p = 673; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.653274524688845424 E18 -------------- Searches starting with [673,709]-exponents: u = 1, v = 124 n_start has 357 digits starting right neighbors generation We generated 1672 left neighbors We generated 8338 right neighbors We generated 10009 non-negative rho_i D1(673,709) = 0.9238689926197921238 D2(673,709) = 0.005425443782552615114 C1(673,709) = 1.281781935960237759 C2(673,709) = 1.315000623478857325 C3(673,709) = 11.04034482288066161 C4(673,709) = 5672 Sum = 4996.967600407918617 Averaged sum = 0.4992474373471794003 logp*logq = 42.74215556935831698 -------------- ************************************* p = 673; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.002128326732428436 E18 -------------- Searches starting with [673,719]-exponents: u = 1, v = 98 n_start has 283 digits starting right neighbors generation We generated 1044 left neighbors We generated 8966 right neighbors We generated 10009 non-negative rho_i D1(673,719) = 0.5277973764436939287 D2(673,719) = 0.02135520578604600897 C1(673,719) = 0.7430030671780472606 C2(673,719) = 1.379929088030009917 C3(673,719) = 4.023274543472162890 C4(673,719) = 5752 Sum = 3965.141859563836226 Averaged sum = 0.3961576440767145795 logp*logq = 42.83335797519055397 -------------- ************************************* p = 673; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.301137590145413881 E18 -------------- Searches starting with [673,727]-exponents: u = 1, v = 84 n_start has 244 digits starting right neighbors generation We generated 814 left neighbors We generated 9196 right neighbors We generated 10009 non-negative rho_i D1(673,727) = 0.5608649193266728748 D2(673,727) = 0.01555209120645893708 C1(673,727) = 0.7974022620221432802 C2(673,727) = 1.410049423412417470 C3(673,727) = 4.454963530319507745 C4(673,727) = 5816 Sum = 3854.274391196513839 Averaged sum = 0.3850808663399454330 logp*logq = 42.90541121745138227 -------------- ************************************* p = 673; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.537612711821756757 E18 -------------- Searches starting with [673,733]-exponents: u = 1, v = 76 n_start has 221 digits starting right neighbors generation We generated 665 left neighbors We generated 9345 right neighbors We generated 10009 non-negative rho_i D1(673,733) = 0.6172337892304300210 D2(673,733) = 0.02515648736796906375 C1(673,733) = 0.8834669824546984361 C2(673,733) = 1.442727263700273212 C3(673,733) = 5.234495044460404817 C4(673,733) = 5864 Sum = 3625.534827945871281 Averaged sum = 0.3622274780643292318 logp*logq = 42.95893271324619261 -------------- ************************************* p = 673; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.785000903641322900 E18 -------------- Searches starting with [673,739]-exponents: u = 1, v = 69 n_start has 201 digits starting right neighbors generation We generated 539 left neighbors We generated 9471 right neighbors We generated 10009 non-negative rho_i D1(673,739) = 0.5743291594219908519 D2(673,739) = 0.02595769172725342900 C1(673,739) = 0.7917719363635698756 C2(673,739) = 1.465972567465449205 C3(673,739) = 4.408215037660616407 C4(673,739) = 5912 Sum = 4333.736473819635915 Averaged sum = 0.4329839618163288954 logp*logq = 43.01201788764648338 -------------- ************************************* p = 673; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.956190597706820483 E18 -------------- Searches starting with [673,743]-exponents: u = 1, v = 65 n_start has 190 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(673,743) = 0.6504618182102866830 D2(673,743) = 0.006599760649680521539 C1(673,743) = 0.9403070612378751312 C2(673,743) = 1.463154878159056600 C3(673,743) = 5.822713447115674915 C4(673,743) = 5944 Sum = 4504.013382275101932 Averaged sum = 0.4499963415201420653 logp*logq = 43.04716909489174292 -------------- ************************************* p = 673; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.314163712662037999 E18 -------------- Searches starting with [673,751]-exponents: u = 1, v = 59 n_start has 173 digits starting right neighbors generation We generated 405 left neighbors We generated 9605 right neighbors We generated 10009 non-negative rho_i D1(673,751) = 0.5447598342635862740 D2(673,751) = 0.03707472440197479760 C1(673,751) = 0.7575852511389953795 C2(673,751) = 1.516988903841763011 C3(673,751) = 4.134710953589746487 C4(673,751) = 6008 Sum = 3976.160786792443124 Averaged sum = 0.3972585459878552426 logp*logq = 43.11690732855830936 -------------- ************************************* p = 673; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.596791741114573062 E18 -------------- Searches starting with [673,757]-exponents: u = 1, v = 55 n_start has 162 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(673,757) = 0.6476567526277876705 D2(673,757) = 0.02218243986726507967 C1(673,757) = 0.8842027199210212596 C2(673,757) = 1.522786752559439696 C3(673,757) = 5.241715683821675877 C4(673,757) = 6056 Sum = 3988.059683225793731 Averaged sum = 0.3984473656934552634 logp*logq = 43.16872520408968508 -------------- ************************************* p = 673; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.792193762928415031 E18 -------------- Searches starting with [673,761]-exponents: u = 1, v = 52 n_start has 153 digits starting right neighbors generation We generated 308 left neighbors We generated 9702 right neighbors We generated 10009 non-negative rho_i D1(673,761) = 1.130786218409582041 D2(673,761) = 0.02897894224632970223 C1(673,761) = 1.661911321364000187 C2(673,761) = 1.540919294330462563 C3(673,761) = 22.50572113181321522 C4(673,761) = 6088 Sum = 6009.610884714756330 Averaged sum = 0.6004207098326262693 logp*logq = 43.20304278196095077 -------------- ************************************* p = 673; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.200366553588145417 E18 -------------- Searches starting with [673,769]-exponents: u = 1, v = 48 n_start has 142 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(673,769) = 0.6562727035692943900 D2(673,769) = 0.01755953136524849431 C1(673,769) = 0.9705851375515351991 C2(673,769) = 1.554091409240358538 C3(673,769) = 6.162580564279362263 C4(673,769) = 6152 Sum = 4318.395928739136942 Averaged sum = 0.4314512867158694117 logp*logq = 43.27114008574273350 -------------- ************************************* p = 673; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.413414815321851320 E18 -------------- Searches starting with [673,773]-exponents: u = 1, v = 47 n_start has 139 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(673,773) = 1.274564024875161203 D2(673,773) = 0.05285951645444373608 C1(673,773) = 1.891435646558862517 C2(673,773) = 1.596342247499619074 C3(673,773) = 34.59842120606193294 C4(673,773) = 6184 Sum = 2997.287090805805780 Averaged sum = 0.2994591958043566570 logp*logq = 43.30492353547332882 -------------- ************************************* p = 673; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.208583579253424361 E18 -------------- Searches starting with [673,787]-exponents: u = 1, v = 41 n_start has 122 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(673,787) = 0.5458437942206195047 D2(673,787) = 0.04954889640285097910 C1(673,787) = 0.7566209291543512341 C2(673,787) = 1.629994073751725434 C3(673,787) = 4.127247263995886131 C4(673,787) = 6296 Sum = 4183.373514446598438 Averaged sum = 0.4179611863769206153 logp*logq = 43.42180415363706927 -------------- ************************************* p = 673; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.826321302761504382 E18 -------------- Searches starting with [673,797]-exponents: u = 1, v = 38 n_start has 114 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(673,797) = 0.9897078197612694761 D2(673,797) = 0.03879933320646183855 C1(673,797) = 1.414092269402407375 C2(673,797) = 1.644839350428912210 C3(673,797) = 14.14631137705203538 C4(673,797) = 6376 Sum = 4817.406095452876853 Averaged sum = 0.4813074328557175395 logp*logq = 43.50402425264731092 -------------- ************************************* p = 673; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.626213533039646294 E18 -------------- Searches starting with [673,809]-exponents: u = 1, v = 35 n_start has 105 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(673,809) = 0.5566083447338080347 D2(673,809) = 0.02751533458571814925 C1(673,809) = 0.7789055630588771720 C2(673,809) = 1.662485889748098424 C3(673,809) = 4.303218884214376642 C4(673,809) = 6472 Sum = 4081.179086562854279 Averaged sum = 0.4077509328167503526 logp*logq = 43.60133732639585942 -------------- ************************************* p = 673; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.766030174421657788 E18 -------------- Searches starting with [673,811]-exponents: u = 1, v = 34 n_start has 102 digits starting right neighbors generation We generated 137 left neighbors We generated 9873 right neighbors We generated 10009 non-negative rho_i D1(673,811) = 0.7500432986348354808 D2(673,811) = 0.06089280876828353754 C1(673,811) = 1.142196037002461753 C2(673,811) = 1.696211069256709298 C3(673,811) = 8.499667833605602954 C4(673,811) = 6488 Sum = 4262.750676457130398 Averaged sum = 0.4258917650571615944 logp*logq = 43.61741571809451898 -------------- ************************************* p = 673; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.494245170790209714 E18 -------------- Searches starting with [673,821]-exponents: u = 1, v = 32 n_start has 97 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(673,821) = 0.7295041112642953047 D2(673,821) = 0.05919506395599732642 C1(673,821) = 1.008144289136736773 C2(673,821) = 1.716155091997244109 C3(673,821) = 6.611871341606680754 C4(673,821) = 6568 Sum = 4011.251811369495054 Averaged sum = 0.4007644930931656563 logp*logq = 43.69721751744986605 -------------- ************************************* p = 673; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.645866812124301100 E18 -------------- Searches starting with [673,823]-exponents: u = 1, v = 32 n_start has 97 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(673,823) = 0.6205969646159912020 D2(673,823) = 0.006319390322937965386 C1(673,823) = 0.8730875323233735763 C2(673,823) = 1.674283449664718042 C3(673,823) = 5.133683158807372412 C4(673,823) = 6584 Sum = 4124.830450066381471 Averaged sum = 0.4121121440769688751 logp*logq = 43.71306118786852550 -------------- ************************************* p = 673; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.955266169168436948 E18 -------------- Searches starting with [673,827]-exponents: u = 1, v = 31 n_start has 94 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(673,827) = 0.5216843119920712667 D2(673,827) = 0.06517793041005839805 C1(673,827) = 0.7558395747974766555 C2(673,827) = 1.733833224053530333 C3(673,827) = 4.121209595095425678 C4(673,827) = 6616 Sum = 4131.438454934967167 Averaged sum = 0.4127723503781563760 logp*logq = 43.74463334828594693 -------------- ************************************* p = 673; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.011308910172504928 E19 -------------- Searches starting with [673,829]-exponents: u = 1, v = 31 n_start has 94 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(673,829) = 0.6513982273570391552 D2(673,829) = 0.007207911300482062671 C1(673,829) = 0.9025323279753149774 C2(673,829) = 1.687390252885557479 C3(673,829) = 5.424856008215406743 C4(673,829) = 6632 Sum = 3857.714337445899131 Averaged sum = 0.3854245516481066171 logp*logq = 43.76036220938662520 -------------- ************************************* p = 673; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.093435811247580033 E19 -------------- Searches starting with [673,839]-exponents: u = 1, v = 29 n_start has 88 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(673,839) = 0.6892961473931786079 D2(673,839) = 0.05548976484851315252 C1(673,839) = 1.003458821620423069 C2(673,839) = 1.749145704047514516 C3(673,839) = 6.554081558496463712 C4(673,839) = 6712 Sum = 4118.015943140261724 Averaged sum = 0.4114313061385015210 logp*logq = 43.83844162602206335 -------------- ************************************* p = 673; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.217849620509366994 E19 -------------- Searches starting with [673,853]-exponents: u = 1, v = 27 n_start has 82 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(673,853) = 0.7424308163941966629 D2(673,853) = 0.04412611313815242644 C1(673,853) = 1.086483827000788893 C2(673,853) = 1.765615451556207080 C3(673,853) = 7.657183820612125021 C4(673,853) = 6824 Sum = 4086.579736388223234 Averaged sum = 0.4082905121778622474 logp*logq = 43.94620346427420809 -------------- ************************************* p = 673; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.255521543274594195 E19 -------------- Searches starting with [673,857]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 80 left neighbors We generated 9930 right neighbors We generated 10009 non-negative rho_i D1(673,857) = 0.8192694341671885422 D2(673,857) = 0.09989503934079630645 C1(673,857) = 1.279922244683490350 C2(673,857) = 1.822063937903154548 C3(673,857) = 11.00194354121836168 C4(673,857) = 6856 Sum = 4143.042012544591592 Averaged sum = 0.4139316627579769799 logp*logq = 43.97666782547470398 -------------- ************************************* p = 673; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.274724349802274191 E19 -------------- Searches starting with [673,859]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(673,859) = 0.6848969969556161768 D2(673,859) = 0.01521775534345041486 C1(673,859) = 0.9752979075694619720 C2(673,859) = 1.751544019310804896 C3(673,859) = 6.217236366460087751 C4(673,859) = 6872 Sum = 4076.186148163924730 Averaged sum = 0.4072520879372489490 logp*logq = 43.99184672588997239 -------------- ************************************* p = 673; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.313876626677937767 E19 -------------- Searches starting with [673,863]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(673,863) = 0.5995087199575911500 D2(673,863) = 0.06391394891393814798 C1(673,863) = 0.8281516985896562185 C2(673,863) = 1.800918550226258394 C3(673,863) = 4.719162041446082042 C4(673,863) = 6904 Sum = 3778.565071768430523 Averaged sum = 0.3775167421089450017 logp*logq = 44.02209879112411720 -------------- ************************************* p = 673; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.459028775348358109 E19 -------------- Searches starting with [673,877]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(673,877) = 0.7381309385604755979 D2(673,877) = 0.002468780658093283502 C1(673,877) = 1.023159597094313446 C2(673,877) = 1.772064354484720602 C3(673,877) = 6.800522961704125069 C4(673,877) = 7016 Sum = 3934.677277231781225 Averaged sum = 0.3931139251905066665 logp*logq = 44.12688775888440402 -------------- ************************************* p = 673; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.502910496135307390 E19 -------------- Searches starting with [673,881]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(673,881) = 0.5905385761657228437 D2(673,881) = 0.04499270624932044882 C1(673,881) = 0.9343043754260341967 C2(673,881) = 1.815260123516454798 C3(673,881) = 5.757594142395641748 C4(673,881) = 7048 Sum = 3865.923418384913302 Averaged sum = 0.3862447215890611751 logp*logq = 44.15652032574168256 -------------- ************************************* p = 673; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.525266925118278029 E19 -------------- Searches starting with [673,883]-exponents: u = 1, v = 23 n_start has 71 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(673,883) = 0.9984743692023963914 D2(673,883) = 0.06818466761970889324 C1(673,883) = 1.579655249897385983 C2(673,883) = 1.838786855791763413 C3(673,883) = 19.29129495076064897 C4(673,883) = 7064 Sum = 4581.705114198872885 Averaged sum = 0.4577585287440176725 logp*logq = 44.17128619449422297 -------------- ************************************* p = 673; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.570825213581596869 E19 -------------- Searches starting with [673,887]-exponents: u = 1, v = 23 n_start has 71 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(673,887) = 0.5760212456178226080 D2(673,887) = 0.1198153080478912778 C1(673,887) = 0.8002931474851108585 C2(673,887) = 1.891084753774490161 C3(673,887) = 4.479158793090496952 C4(673,887) = 7096 Sum = 3907.207327629046585 Averaged sum = 0.3903694003026322894 logp*logq = 44.20071786190680428 -------------- ************************************* p = 673; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.816291031300598097 E19 -------------- Searches starting with [673,907]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(673,907) = 0.5811450099445979272 D2(673,907) = 0.06613060569320304233 C1(673,907) = 0.9284069042123531029 C2(673,907) = 1.875109263973193123 C3(673,907) = 5.694325527145761568 C4(673,907) = 7256 Sum = 4000.780491728615782 Averaged sum = 0.3997183027004311901 logp*logq = 44.34591329375254448 -------------- ************************************* p = 673; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.869088946959037610 E19 -------------- Searches starting with [673,911]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(673,911) = 1.011307972882337900 D2(673,911) = 0.1117394658835689646 C1(673,911) = 1.509066746061976226 C2(673,911) = 1.921375717404901241 C3(673,911) = 16.90143963365495316 C4(673,911) = 7288 Sum = 4544.642092619546021 Averaged sum = 0.4540555592586218424 logp*logq = 44.37456788489618578 -------------- ************************************* p = 673; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.978590600258572081 E19 -------------- Searches starting with [673,919]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(673,919) = 0.7178538509807629218 D2(673,919) = 0.04370929758335850807 C1(673,919) = 0.9674288039279683911 C2(673,919) = 1.873746288139717084 C3(673,919) = 6.126244271590066572 C4(673,919) = 7352 Sum = 3670.205514183931158 Averaged sum = 0.3666905299414458146 logp*logq = 44.43150154007932990 -------------- ************************************* p = 673; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.123060957825231139 E19 -------------- Searches starting with [673,929]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(673,929) = 1.638342345713060123 D2(673,929) = 0.1483051332073212072 C1(673,929) = 2.296571283356056961 C2(673,929) = 1.515953781571922684 C3(673,929) = 73.91185443246729029 C4(673,929) = 7432 Sum = 5513.903617111709168 Averaged sum = 0.5508945566102217172 logp*logq = 44.50197566225523389 -------------- ************************************* p = 673; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.244974445923360767 E19 -------------- Searches starting with [673,937]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(673,937) = 0.7683402592993462450 D2(673,937) = 0.06207665186551649263 C1(673,937) = 1.117148052818177180 C2(673,937) = 1.915619601043973602 C3(673,937) = 8.109992901121478228 C4(673,937) = 7496 Sum = 3974.770430025186926 Averaged sum = 0.3971196353307210436 logp*logq = 44.55781090535410252 -------------- ************************************* p = 673; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.308119779088428253 E19 -------------- Searches starting with [673,941]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(673,941) = 0.7841902668679787701 D2(673,941) = 0.1016075227890707296 C1(673,941) = 1.080243214449457954 C2(673,941) = 1.955795714144527005 C3(673,941) = 7.568173902213483183 C4(673,941) = 7528 Sum = 3956.800805107038368 Averaged sum = 0.3953242886509180106 logp*logq = 44.58555001153810545 -------------- ************************************* p = 673; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.405653508677870750 E19 -------------- Searches starting with [673,947]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(673,947) = 0.7794878121561867970 D2(673,947) = 0.1176412511099259199 C1(673,947) = 1.267027183545011685 C2(673,947) = 1.287058837296074728 C3(673,947) = 10.73931878506914304 C4(673,947) = 7576 Sum = 3016.634255547078886 Averaged sum = 0.3013921725993684570 logp*logq = 44.62693836271289321 -------------- ************************************* p = 673; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.506653370968718631 E19 -------------- Searches starting with [673,953]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(673,953) = 0.6583031817120182620 D2(673,953) = 0.04210913435117284667 C1(673,953) = 0.9086261849944406475 C2(673,953) = 1.920510204154216331 C3(673,953) = 5.487149221379866303 C4(673,953) = 7624 Sum = 4029.146382603546436 Averaged sum = 0.4025523411533166585 logp*logq = 44.66806531203162009 -------------- ************************************* p = 673; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.756366097676556336 E19 -------------- Searches starting with [673,967]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(673,967) = 0.9096855105655783911 D2(673,967) = 0.1143941450051799318 C1(673,967) = 1.488537246180748104 C2(673,967) = 1.292251197374069769 C3(673,967) = 16.26368288822666736 C4(673,967) = 7736 Sum = 3772.490524302062712 Averaged sum = 0.3769098335799842854 logp*logq = 44.76302994781880397 -------------- ************************************* p = 673; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.831462857218850701 E19 -------------- Searches starting with [673,971]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(673,971) = 0.6325612125711240979 D2(673,971) = 0.02035504374442270245 C1(673,971) = 0.9070686340756113638 C2(673,971) = 1.925872257209840268 C3(673,971) = 5.471159749793397333 C4(673,971) = 7768 Sum = 3797.601933189471971 Averaged sum = 0.3794187164741204886 logp*logq = 44.78991025566774993 -------------- ************************************* p = 673; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.947351694741513328 E19 -------------- Searches starting with [673,977]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(673,977) = 0.6901171995414838650 D2(673,977) = 0.06705284791315239956 C1(673,977) = 1.048200325793057848 C2(673,977) = 1.973517426789887551 C3(673,977) = 7.127182627698161832 C4(673,977) = 7816 Sum = 3428.795664641224702 Averaged sum = 0.3425712523370191529 logp*logq = 44.83002380344105879 -------------- ************************************* p = 673; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.067230354172247823 E19 -------------- Searches starting with [673,983]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(673,983) = 0.5852376302174111348 D2(673,983) = 0.1184231367423214187 C1(673,983) = 0.8283189373219654719 C2(673,983) = 1.488777228065053468 C3(673,983) = 4.720640974175959536 C4(673,983) = 7864 Sum = 3728.050291079603488 Averaged sum = 0.3724698062823062732 logp*logq = 44.86989175652567888 -------------- ************************************* p = 673; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.233468443406100886 E19 -------------- Searches starting with [673,991]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(673,991) = 0.6575278996056044795 D2(673,991) = 0.1396905696094880828 C1(673,991) = 0.9211688890375039633 C2(673,991) = 1.812591546796237999 C3(673,991) = 5.617624893507742615 C4(673,991) = 7928 Sum = 4110.617886271086148 Averaged sum = 0.4106921656779984162 logp*logq = 44.92267214947550251 -------------- ************************************* p = 673; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.363095439981141834 E19 -------------- Searches starting with [673,997]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 50 left neighbors We generated 9960 right neighbors We generated 10009 non-negative rho_i D1(673,997) = 0.7547497209470054214 D2(673,997) = 0.03433098907301837408 C1(673,997) = 1.048608943394672469 C2(673,997) = 1.970470886077912047 C3(673,997) = 7.132641209647461583 C4(673,997) = 7976 Sum = 3953.514578353056512 Averaged sum = 0.3949959614699826668 logp*logq = 44.96197857865983906 -------------- ************************************* p = 677; q = 683; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.977298617327522490 E18 -------------- Searches starting with [677,683]-exponents: u = 1, v = 738 n_start has 2095 digits --- performed 5000 steps in the continued fraction search [677,683]-exponents: u = 587, v = 146 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(677,683) = 0.6056660473419065858 D2(677,683) = 0.2522763532853135886 C1(677,683) = 0.7775480143619559835 C2(677,683) = 1.269115451610351932 C3(677,683) = 4.295324408718748726 C4(677,683) = 5464 Sum = 5575.205327957437299 Averaged sum = 0.5575762904247862085 logp*logq = 42.53754805903417070 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(677,683) = 0.6056660473419065858 D2(677,683) = 0.2522763532853135886 C1(677,683) = 0.7775480143619559835 C2(677,683) = 1.269115451610351932 C3(677,683) = 4.295324408718748726 C4(677,683) = 5464 Sum = 5575.205327957437299 Averaged sum = 0.5575762904247862085 logp*logq = 42.53754805903417070 -------------- ************************************* p = 677; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.212066288902317433 E18 -------------- Searches starting with [677,691]-exponents: u = 1, v = 318 n_start has 906 digits --- performed 5000 steps in the continued fraction search [677,691]-exponents: u = 32, v = 271 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(677,691) = 0.6208754904205897470 D2(677,691) = 0.01360288665046946669 C1(677,691) = 0.8227495607207568190 C2(677,691) = 1.156952643311692670 C3(677,691) = 4.675135554559708518 C4(677,691) = 5528 Sum = 5098.350284040737964 Averaged sum = 0.5098860170057743739 logp*logq = 42.61344610765426636 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(677,691) = 0.6208754904205897470 D2(677,691) = 0.01360288665046946669 C1(677,691) = 0.8227495607207568190 C2(677,691) = 1.156952643311692670 C3(677,691) = 4.675135554559708518 C4(677,691) = 5528 Sum = 5098.350284040737964 Averaged sum = 0.5098860170057743739 logp*logq = 42.61344610765426636 -------------- ************************************* p = 677; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.527398911125328970 E18 -------------- Searches starting with [677,701]-exponents: u = 1, v = 187 n_start has 535 digits starting right neighbors generation We generated 3758 left neighbors We generated 6252 right neighbors We generated 10009 non-negative rho_i D1(677,701) = 0.8065561680217123834 D2(677,701) = 0.008118776675536138134 C1(677,701) = 1.095283539815317824 C2(677,701) = 1.240583272694100306 C3(677,701) = 7.792235385279594102 C4(677,701) = 5608 Sum = 4683.168099314875960 Averaged sum = 0.4678957037980693335 logp*logq = 42.70709242085645819 -------------- ************************************* p = 677; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.798175921896730201 E18 -------------- Searches starting with [677,709]-exponents: u = 1, v = 141 n_start has 405 digits starting right neighbors generation We generated 2167 left neighbors We generated 7843 right neighbors We generated 10009 non-negative rho_i D1(677,709) = 0.7563215905698238578 D2(677,709) = 0.01241413596769353239 C1(677,709) = 1.042396857471018436 C2(677,709) = 1.297516536604187323 C3(677,709) = 7.056793583159506412 C4(677,709) = 5672 Sum = 4403.557236738051846 Averaged sum = 0.4399597598899042707 logp*logq = 42.78105260482492245 -------------- ************************************* p = 677; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.161211819117979409 E18 -------------- Searches starting with [677,719]-exponents: u = 1, v = 108 n_start has 312 digits starting right neighbors generation We generated 1351 left neighbors We generated 8659 right neighbors We generated 10009 non-negative rho_i D1(677,719) = 0.6179914841095572890 D2(677,719) = 0.004339235230210618895 C1(677,719) = 0.8649229886849279721 C2(677,719) = 1.344806722466893184 C3(677,719) = 5.059729238792017905 C4(677,719) = 5752 Sum = 4093.226877003648391 Averaged sum = 0.4089546285346836238 logp*logq = 42.87233800841819982 -------------- ************************************* p = 677; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.472399869260064175 E18 -------------- Searches starting with [677,727]-exponents: u = 1, v = 91 n_start has 264 digits starting right neighbors generation We generated 967 left neighbors We generated 9043 right neighbors We generated 10009 non-negative rho_i D1(677,727) = 0.7657819202242232301 D2(677,727) = 0.005904282206824259457 C1(677,727) = 1.040757685709001594 C2(677,727) = 1.383561134837255724 C3(677,727) = 7.035143765284701644 C4(677,727) = 5816 Sum = 3881.347905297991016 Averaged sum = 0.3877857833248067755 logp*logq = 42.94445682195128545 -------------- ************************************* p = 677; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.718520752156053015 E18 -------------- Searches starting with [677,733]-exponents: u = 1, v = 82 n_start has 238 digits starting right neighbors generation We generated 794 left neighbors We generated 9216 right neighbors We generated 10009 non-negative rho_i D1(677,733) = 1.139489019901295982 D2(677,733) = 0.01882856862927117702 C1(677,733) = 1.622872011217426621 C2(677,733) = 1.420379958486407012 C3(677,733) = 20.94921990904925193 C4(677,733) = 5864 Sum = 3782.330099463322208 Averaged sum = 0.3778929063306346496 logp*logq = 42.99802702440331569 -------------- ************************************* p = 677; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.976012335825658921 E18 -------------- Searches starting with [677,739]-exponents: u = 1, v = 74 n_start has 216 digits starting right neighbors generation We generated 647 left neighbors We generated 9363 right neighbors We generated 10009 non-negative rho_i D1(677,739) = 0.5588335564676525734 D2(677,739) = 0.01562345924078758307 C1(677,739) = 0.7676206118241254747 C2(677,739) = 1.441088750926914728 C3(677,739) = 4.216131485573410059 C4(677,739) = 5912 Sum = 3876.733591729997949 Averaged sum = 0.3873247668828052701 logp*logq = 43.05116050839126982 -------------- ************************************* p = 677; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.154200589794283556 E18 -------------- Searches starting with [677,743]-exponents: u = 1, v = 70 n_start has 204 digits starting right neighbors generation We generated 611 left neighbors We generated 9399 right neighbors We generated 10009 non-negative rho_i D1(677,743) = 0.8348355773643442023 D2(677,743) = 0.01217217261149945542 C1(677,743) = 1.201956346171569746 C2(677,743) = 1.452886963442905770 C3(677,743) = 9.517077143596301450 C4(677,743) = 5944 Sum = 3529.438980673312101 Averaged sum = 0.3526265341865633031 logp*logq = 43.08634370461173895 -------------- ************************************* p = 677; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.526826212065597229 E18 -------------- Searches starting with [677,751]-exponents: u = 1, v = 62 n_start has 182 digits starting right neighbors generation We generated 426 left neighbors We generated 9584 right neighbors We generated 10009 non-negative rho_i D1(677,751) = 0.6681727038430416873 D2(677,751) = 0.03121957590819014987 C1(677,751) = 0.9693355796302717985 C2(677,751) = 1.497648165131058458 C3(677,751) = 6.153593152638987013 C4(677,751) = 6008 Sum = 4530.557429868906732 Averaged sum = 0.4526483594633736369 logp*logq = 43.15614540280207994 -------------- ************************************* p = 677; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.821038956864908037 E18 -------------- Searches starting with [677,757]-exponents: u = 1, v = 58 n_start has 170 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(677,757) = 0.5394365149177305639 D2(677,757) = 0.03417323984406044236 C1(677,757) = 0.7874314159253455563 C2(677,757) = 1.519860877660123466 C3(677,757) = 4.375643916899107896 C4(677,757) = 6056 Sum = 3968.126774573712423 Averaged sum = 0.3964558671769120215 logp*logq = 43.20801043462951746 -------------- ************************************* p = 677; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.024458314017696618 E18 -------------- Searches starting with [677,761]-exponents: u = 1, v = 55 n_start has 162 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(677,761) = 0.5778509559220741682 D2(677,761) = 0.008223140117678658212 C1(677,761) = 0.8457653237125513172 C2(677,761) = 1.509529972241474099 C3(677,761) = 4.881251296874780944 C4(677,761) = 6088 Sum = 4223.548070235665996 Averaged sum = 0.4219750294970192822 logp*logq = 43.24235924284061523 -------------- ************************************* p = 677; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.449398327786602293 E18 -------------- Searches starting with [677,769]-exponents: u = 1, v = 51 n_start has 151 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(677,769) = 0.6762660427588769241 D2(677,769) = 0.01310063580352298270 C1(677,769) = 0.9970993351188276159 C2(677,769) = 1.537696941087920252 C3(677,769) = 6.482328610959177156 C4(677,769) = 6152 Sum = 3028.285845322584957 Averaged sum = 0.3025562838767694032 logp*logq = 43.31051851783571409 -------------- ************************************* p = 677; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.671208566794656661 E18 -------------- Searches starting with [677,773]-exponents: u = 1, v = 49 n_start has 145 digits starting right neighbors generation We generated 335 left neighbors We generated 9675 right neighbors We generated 10009 non-negative rho_i D1(677,773) = 0.6752920347223035751 D2(677,773) = 0.003617205490713698955 C1(677,773) = 0.9988755734627031892 C2(677,773) = 1.540851499957959144 C3(677,773) = 6.503948074480443151 C4(677,773) = 6184 Sum = 2965.295402449263514 Averaged sum = 0.2962629036316578593 logp*logq = 43.34433271182861558 -------------- ************************************* p = 677; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.499137560819252415 E18 -------------- Searches starting with [677,787]-exponents: u = 1, v = 43 n_start has 128 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(677,787) = 0.5814055937290925902 D2(677,787) = 0.01739540408266021684 C1(677,787) = 0.8042638652565590391 C2(677,787) = 1.590458194538756619 C3(677,787) = 4.515908590619048400 C4(677,787) = 6296 Sum = 3818.426193929753122 Averaged sum = 0.3814992700499303749 logp*logq = 43.46131969593224636 -------------- ************************************* p = 677; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.142383452276697372 E18 -------------- Searches starting with [677,797]-exponents: u = 1, v = 39 n_start has 116 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(677,797) = 0.8293374582329475563 D2(677,797) = 0.01874924812730486702 C1(677,797) = 1.247966006935516301 C2(677,797) = 1.616537305462158542 C3(677,797) = 10.37432160892215622 C4(677,797) = 6376 Sum = 4692.607780962361065 Averaged sum = 0.4688388231553962498 logp*logq = 43.54361461845254893 -------------- ************************************* p = 677; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.975373750494656404 E18 -------------- Searches starting with [677,809]-exponents: u = 1, v = 36 n_start has 108 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(677,809) = 0.5531704877253183972 D2(677,809) = 0.02045634398355892620 C1(677,809) = 0.7933433084296650614 C2(677,809) = 1.646106619604341950 C3(677,809) = 4.424404237693327016 C4(677,809) = 6472 Sum = 4074.175377082901679 Averaged sum = 0.4070511916358179317 logp*logq = 43.64101625090925195 -------------- ************************************* p = 677; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.120983157935697586 E18 -------------- Searches starting with [677,811]-exponents: u = 1, v = 36 n_start has 108 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(677,811) = 0.7502565269415342843 D2(677,811) = 0.05399957203247398161 C1(677,811) = 1.139740558906737323 C2(677,811) = 1.679996207539296171 C3(677,811) = 8.469430075617065156 C4(677,811) = 6488 Sum = 2477.516538245510566 Averaged sum = 0.2475288778345000066 logp*logq = 43.65710927457403062 -------------- ************************************* p = 677; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.879402387144406186 E18 -------------- Searches starting with [677,821]-exponents: u = 1, v = 33 n_start has 100 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(677,821) = 0.5924724555574891859 D2(677,821) = 0.06291694932518957631 C1(677,821) = 0.9048468720469086252 C2(677,821) = 1.709698100501370152 C3(677,821) = 5.452918531026630485 C4(677,821) = 6568 Sum = 3988.349279575506080 Averaged sum = 0.3984762992881912359 logp*logq = 43.73698369669204550 -------------- ************************************* p = 677; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.003731965088733805 E19 -------------- Searches starting with [677,823]-exponents: u = 1, v = 33 n_start has 100 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(677,823) = 0.5678013632229314396 D2(677,823) = 0.01305238507763293113 C1(677,823) = 0.7974505577514555350 C2(677,823) = 1.670357811852972049 C3(677,823) = 4.458599677692291876 C4(677,823) = 6584 Sum = 4086.284074168242403 Averaged sum = 0.4082609725415368571 logp*logq = 43.75284178547126694 -------------- ************************************* p = 677; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.035957283562038792 E19 -------------- Searches starting with [677,827]-exponents: u = 1, v = 32 n_start has 97 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(677,827) = 0.5939725055150944639 D2(677,827) = 0.07508025527189302956 C1(677,827) = 0.8587785019517566123 C2(677,827) = 1.733073950174600079 C3(677,827) = 5.001785886774929625 C4(677,827) = 6616 Sum = 4035.231906620796016 Averaged sum = 0.4031603463503642738 logp*logq = 43.78444267779111947 -------------- ************************************* p = 677; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.052395596452435420 E19 -------------- Searches starting with [677,829]-exponents: u = 1, v = 32 n_start has 97 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(677,829) = 0.6150153764425188740 D2(677,829) = 0.01922345127889783785 C1(677,829) = 0.9447478898122504281 C2(677,829) = 1.688223100231819215 C3(677,829) = 5.876410507171481782 C4(677,829) = 6632 Sum = 3589.966346666827499 Averaged sum = 0.3586738282212835947 logp*logq = 43.80018585277138413 -------------- ************************************* p = 677; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.137939940383377629 E19 -------------- Searches starting with [677,839]-exponents: u = 1, v = 30 n_start has 91 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(677,839) = 0.5444340624745747584 D2(677,839) = 0.07751538101618328553 C1(677,839) = 0.7690644256526945124 C2(677,839) = 1.759414686157935328 C3(677,839) = 4.227557705848320472 C4(677,839) = 6712 Sum = 4081.244993301811667 Averaged sum = 0.4077575175643732308 logp*logq = 43.87833632473376179 -------------- ************************************* p = 677; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.267541837200979393 E19 -------------- Searches starting with [677,853]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(677,853) = 0.7748622223013426137 D2(677,853) = 0.07916716444331447573 C1(677,853) = 1.066316611670692285 C2(677,853) = 1.787590489475072312 C3(677,853) = 7.380406888311938610 C4(677,853) = 6824 Sum = 3944.797034559692105 Averaged sum = 0.3941249909641015192 logp*logq = 43.98619623047896122 -------------- ************************************* p = 677; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.306787125220969021 E19 -------------- Searches starting with [677,857]-exponents: u = 1, v = 27 n_start has 83 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(677,857) = 0.6559670690847853558 D2(677,857) = 0.02817345288431937355 C1(677,857) = 0.9320168326173099416 C2(677,857) = 1.750342351446677615 C3(677,857) = 5.737832538861550055 C4(677,857) = 6856 Sum = 4216.664696023341970 Averaged sum = 0.4212873110224140244 logp*logq = 44.01668831544121639 -------------- ************************************* p = 677; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.326792350055047212 E19 -------------- Searches starting with [677,859]-exponents: u = 1, v = 27 n_start has 83 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(677,859) = 0.5581176106958318755 D2(677,859) = 0.05354186725384146522 C1(677,859) = 0.7936106305918593934 C2(677,859) = 1.776049349010493375 C3(677,859) = 4.426621862131707253 C4(677,859) = 6872 Sum = 4081.708696078287242 Averaged sum = 0.4078038461462970569 logp*logq = 44.03188102925030952 -------------- ************************************* p = 677; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.367581509323303513 E19 -------------- Searches starting with [677,863]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(677,863) = 0.6328171632074934787 D2(677,863) = 0.0005182855615426070405 C1(677,863) = 0.9888057043425582647 C2(677,863) = 1.737522886873862853 C3(677,863) = 6.382330075436925899 C4(677,863) = 6904 Sum = 3842.302156357461025 Averaged sum = 0.3838847193882966356 logp*logq = 44.06216062504857014 -------------- ************************************* p = 677; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.518811601566636222 E19 -------------- Searches starting with [677,877]-exponents: u = 1, v = 25 n_start has 77 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(677,877) = 0.5920997542394470813 D2(677,877) = 0.05475171913384928247 C1(677,877) = 0.9327880015433579722 C2(677,877) = 1.808767509255736492 C3(677,877) = 5.746132971832612977 C4(677,877) = 7016 Sum = 3840.204604311822076 Averaged sum = 0.3836751527936679065 logp*logq = 44.16704495487333841 -------------- ************************************* p = 677; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.564533539349026668 E19 -------------- Searches starting with [677,881]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(677,881) = 0.8276387334427318888 D2(677,881) = 0.1066039889917422538 C1(677,881) = 1.162377398849539963 C2(677,881) = 1.861287779531725765 C3(677,881) = 8.836548538414573764 C4(677,881) = 7048 Sum = 4292.232638548429677 Averaged sum = 0.4288373102755949323 logp*logq = 44.19670448852694859 -------------- ************************************* p = 677; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.587827973475790530 E19 -------------- Searches starting with [677,883]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(677,883) = 0.6874763277337486134 D2(677,883) = 0.008016596675413906888 C1(677,883) = 1.015238626719236280 C2(677,883) = 1.778618784847468427 C3(677,883) = 6.706533580238855518 C4(677,883) = 7064 Sum = 3925.925714360162344 Averaged sum = 0.3922395558357640468 logp*logq = 44.21148379479832518 -------------- ************************************* p = 677; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.635298700816480193 E19 -------------- Searches starting with [677,887]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(677,887) = 0.8552103387543011800 D2(677,887) = 0.05089303135920509118 C1(677,887) = 1.157494757756697675 C2(677,887) = 1.822162477085803974 C3(677,887) = 8.756040185529126794 C4(677,887) = 7096 Sum = 3585.090656815670429 Averaged sum = 0.3581866976536787321 logp*logq = 44.24094224618087569 -------------- ************************************* p = 677; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.891089361302474324 E19 -------------- Searches starting with [677,907]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(677,907) = 0.5121014750233900139 D2(677,907) = 0.01026317882003157228 C1(677,907) = 0.7380504146901001428 C2(677,907) = 1.819241837100021653 C3(677,907) = 3.988790916415762108 C4(677,907) = 7256 Sum = 4025.189918079000762 Averaged sum = 0.4021570504624838407 logp*logq = 44.38626981155584159 -------------- ************************************* p = 677; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.946112343582726491 E19 -------------- Searches starting with [677,911]-exponents: u = 1, v = 21 n_start has 65 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(677,911) = 0.8578773449720030113 D2(677,911) = 0.04887432510227776259 C1(677,911) = 1.370748899203415644 C2(677,911) = 1.858510576623610039 C3(677,911) = 13.05919278318398243 C4(677,911) = 7288 Sum = 3946.530051824731395 Averaged sum = 0.3942981368592997697 logp*logq = 44.41495047949961494 -------------- ************************************* p = 677; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.060233198710036452 E19 -------------- Searches starting with [677,919]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(677,919) = 0.8320574154204165631 D2(677,919) = 0.1410515286989397373 C1(677,919) = 1.203001508688149257 C2(677,919) = 1.951994291564087085 C3(677,919) = 9.535741040703142732 C4(677,919) = 7352 Sum = 4097.301228872604658 Averaged sum = 0.4093616973596367926 logp*logq = 44.47193594653865175 -------------- ************************************* p = 677; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.210806621492663443 E19 -------------- Searches starting with [677,929]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(677,929) = 0.8170763840953965368 D2(677,929) = 0.08613966424894034305 C1(677,929) = 1.144197435769890592 C2(677,929) = 1.917804613256014241 C3(677,929) = 8.540484259758985457 C4(677,929) = 7432 Sum = 4144.645900531547124 Averaged sum = 0.4140919073365518158 logp*logq = 44.54247420292569316 -------------- ************************************* p = 677; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.337877558278503754 E19 -------------- Searches starting with [677,937]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(677,937) = 0.8214767224690800214 D2(677,937) = 0.01081564763846499271 C1(677,937) = 1.327282362865232911 C2(677,937) = 1.864358596816922102 C3(677,937) = 12.03734073125878328 C4(677,937) = 7496 Sum = 2405.341944427980816 Averaged sum = 0.2403179083253053068 logp*logq = 44.59836025828244099 -------------- ************************************* p = 677; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.403696693424631731 E19 -------------- Searches starting with [677,941]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(677,941) = 0.7126267312065626649 D2(677,941) = 0.04495606471716531642 C1(677,941) = 1.000249167588862491 C2(677,941) = 1.899144256072621592 C3(677,941) = 6.520716185614385863 C4(677,941) = 7528 Sum = 4166.409607049925976 Averaged sum = 0.4162663210160781273 logp*logq = 44.62612460813940985 -------------- ************************************* p = 677; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.505363559271682555 E19 -------------- Searches starting with [677,947]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(677,947) = 0.5587372727300881859 D2(677,947) = 0.1025807037399743227 C1(677,947) = 0.7697780518681313365 C2(677,947) = 1.957731600858496521 C3(677,947) = 4.233216713334018313 C4(677,947) = 7576 Sum = 3937.555041790237555 Averaged sum = 0.3934014428804313673 logp*logq = 44.66755062433464650 -------------- ************************************* p = 677; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.610647393075862614 E19 -------------- Searches starting with [677,953]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(677,953) = 0.7936591375365471499 D2(677,953) = 0.1165232810346141638 C1(677,953) = 1.290301213249635070 C2(677,953) = 1.277386470114942092 C3(677,953) = 11.23115650503498998 C4(677,953) = 7624 Sum = 2880.777569272408389 Averaged sum = 0.2878187200791695863 logp*logq = 44.70871500078789607 -------------- ************************************* p = 677; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.870968103616740811 E19 -------------- Searches starting with [677,967]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(677,967) = 0.6541469766831701871 D2(677,967) = 0.1148248624578768569 C1(677,967) = 0.9041247615769706480 C2(677,967) = 1.995451171118492902 C3(677,967) = 5.445542407706611981 C4(677,967) = 7736 Sum = 4025.415176358669617 Averaged sum = 0.4021795560354350701 logp*logq = 44.80376605811271843 -------------- ************************************* p = 677; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.949259321024476236 E19 -------------- Searches starting with [677,971]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(677,971) = 0.8598878492290644861 D2(677,971) = 0.1118981640534355654 C1(677,971) = 1.148379535538116648 C2(677,971) = 1.313634169796668939 C3(677,971) = 8.607699804527589894 C4(677,971) = 7768 Sum = 3375.753927254031289 Averaged sum = 0.3372718480621471964 logp*logq = 44.83067082809451253 -------------- ************************************* p = 677; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.070081516585739459 E19 -------------- Searches starting with [677,977]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(677,977) = 0.5823983382752311992 D2(677,977) = 0.01937933215877233911 C1(677,977) = 0.8352605354466827415 C2(677,977) = 1.925843911035507490 C3(677,977) = 4.786072772120520887 C4(677,977) = 7816 Sum = 3745.110970457814808 Averaged sum = 0.3741743401396557906 logp*logq = 44.87082088076725020 -------------- ************************************* p = 677; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.195067928128694824 E19 -------------- Searches starting with [677,983]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(677,983) = 0.7360990559249095559 D2(677,983) = 0.06564067278606532232 C1(677,983) = 1.118226352759391925 C2(677,983) = 1.973046781240028366 C3(677,983) = 8.134664275669948609 C4(677,983) = 7864 Sum = 3530.626672193272160 Averaged sum = 0.3527451965424390208 logp*logq = 44.91072511525051424 -------------- ************************************* p = 677; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.368396359988934871 E19 -------------- Searches starting with [677,991]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(677,991) = 0.6717209547533465947 D2(677,991) = 0.1087975235463287323 C1(677,991) = 1.107409125133021302 C2(677,991) = 1.380213315981941368 C3(677,991) = 7.971378126086564099 C4(677,991) = 7928 Sum = 3795.759290462405139 Averaged sum = 0.3792346178901393884 logp*logq = 44.96355354042494525 -------------- ************************************* p = 677; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.503557823235689321 E19 -------------- Searches starting with [677,997]-exponents: u = 1, v = 16 n_start has 51 digits starting right neighbors generation We generated 34 left neighbors We generated 9976 right neighbors We generated 10009 non-negative rho_i D1(677,997) = 0.6879900424774207826 D2(677,997) = 0.1396033123535353191 C1(677,997) = 0.9639799254382477518 C2(677,997) = 1.813350615616358427 C3(677,997) = 6.092124662055998329 C4(677,997) = 7976 Sum = 3938.918704295890735 Averaged sum = 0.3935376865117285178 logp*logq = 45.00289573999918568 -------------- ************************************* p = 683; q = 691; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.402819242760307732 E18 -------------- Searches starting with [683,691]-exponents: u = 1, v = 560 n_start has 1593 digits --- performed 5000 steps in the continued fraction search [683,691]-exponents: u = 548, v = 5 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(683,691) = 0.6379286596201207266 D2(683,691) = 0.1822454953481580734 C1(683,691) = 0.8269846294603082023 C2(683,691) = 1.236414577009854117 C3(683,691) = 4.717673034641202915 C4(683,691) = 5528 Sum = 5424.255632336949908 Averaged sum = 0.5424798112148164724 logp*logq = 42.67113595097476884 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(683,691) = 0.6379286596201207266 D2(683,691) = 0.1822454953481580734 C1(683,691) = 0.8269846294603082023 C2(683,691) = 1.236414577009854117 C3(683,691) = 4.717673034641202915 C4(683,691) = 5528 Sum = 5424.255632336949908 Averaged sum = 0.5424798112148164724 logp*logq = 42.67113595097476884 -------------- ************************************* p = 683; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.737352107878440286 E18 -------------- Searches starting with [683,701]-exponents: u = 1, v = 250 n_start has 715 digits --- performed 5000 steps in the continued fraction search [683,701]-exponents: u = 190, v = 41 --- starting right neighbors generation We generated 6452 left neighbors We generated 3558 right neighbors We generated 10009 non-negative rho_i D1(683,701) = 0.7947963221447558848 D2(683,701) = 0.005421939179987578930 C1(683,701) = 1.064432585215890239 C2(683,701) = 1.188537432688862639 C3(683,701) = 7.364986223760173999 C4(683,701) = 5608 Sum = 4956.553235623068516 Averaged sum = 0.4952096348909050370 logp*logq = 42.76490904202831138 -------------- ************************************* p = 683; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.024648906971934636 E18 -------------- Searches starting with [683,709]-exponents: u = 1, v = 174 n_start has 499 digits starting right neighbors generation We generated 3172 left neighbors We generated 6838 right neighbors We generated 10009 non-negative rho_i D1(683,709) = 0.6313976018289325024 D2(683,709) = 0.009459842576313774802 C1(683,709) = 0.8604709024664195410 C2(683,709) = 1.255282323462193381 C3(683,709) = 5.023523463476815735 C4(683,709) = 5672 Sum = 4752.619282276245966 Averaged sum = 0.4748345771082271922 logp*logq = 42.83896935287725174 -------------- ************************************* p = 683; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.409876410530017983 E18 -------------- Searches starting with [683,719]-exponents: u = 1, v = 127 n_start has 366 digits starting right neighbors generation We generated 1829 left neighbors We generated 8181 right neighbors We generated 10009 non-negative rho_i D1(683,719) = 0.8657404579821983247 D2(683,719) = 0.006855236484341667997 C1(683,719) = 1.200449366900561652 C2(683,719) = 1.314623070027225726 C3(683,719) = 9.505655934403546624 C4(683,719) = 5752 Sum = 4294.142994609749938 Averaged sum = 0.4290281741042811407 logp*logq = 42.93037833813574907 -------------- ************************************* p = 683; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.740123128372817982 E18 -------------- Searches starting with [683,727]-exponents: u = 1, v = 104 n_start has 301 digits starting right neighbors generation We generated 1205 left neighbors We generated 8805 right neighbors We generated 10009 non-negative rho_i D1(683,727) = 0.5401280312515174599 D2(683,727) = 0.01115858362168888644 C1(683,727) = 0.7573947227681139434 C2(683,727) = 1.359547519813988810 C3(683,727) = 4.140324046786636019 C4(683,727) = 5816 Sum = 4490.533294916047466 Averaged sum = 0.4486495449011936723 logp*logq = 43.00259478571238691 -------------- ************************************* p = 683; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.001339803854576478 E18 -------------- Searches starting with [683,733]-exponents: u = 1, v = 92 n_start has 267 digits starting right neighbors generation We generated 978 left neighbors We generated 9032 right neighbors We generated 10009 non-negative rho_i D1(683,733) = 0.5686859621755522331 D2(683,733) = 0.009882693334289558867 C1(683,733) = 0.7726161474911331783 C2(683,733) = 1.385922331376837312 C3(683,733) = 4.260248412219193568 C4(683,733) = 5864 Sum = 3886.325234504358581 Averaged sum = 0.3882830686886161037 logp*logq = 43.05623751120276278 -------------- ************************************* p = 683; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.274644338506617767 E18 -------------- Searches starting with [683,739]-exponents: u = 1, v = 82 n_start has 239 digits starting right neighbors generation We generated 719 left neighbors We generated 9291 right neighbors We generated 10009 non-negative rho_i D1(683,739) = 0.6739355200803083300 D2(683,739) = 0.02581166296648209028 C1(683,739) = 0.9592588583657662802 C2(683,739) = 1.425366119838141611 C3(683,739) = 6.046290466011312493 C4(683,739) = 5912 Sum = 4613.550042779084812 Averaged sum = 0.4609401581355864534 logp*logq = 43.10944292700206571 -------------- ************************************* p = 683; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.463786677988369138 E18 -------------- Searches starting with [683,743]-exponents: u = 1, v = 77 n_start has 224 digits starting right neighbors generation We generated 674 left neighbors We generated 9336 right neighbors We generated 10009 non-negative rho_i D1(683,743) = 0.9110822165385496995 D2(683,743) = 0.02043269801738683859 C1(683,743) = 1.249094346717240847 C2(683,743) = 1.436413922358770813 C3(683,743) = 10.41387073902251741 C4(683,743) = 5944 Sum = 4351.325534322515713 Averaged sum = 0.4347412862746044273 logp*logq = 43.14467375403540891 -------------- ************************************* p = 683; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.859347653587492269 E18 -------------- Searches starting with [683,751]-exponents: u = 1, v = 68 n_start has 199 digits starting right neighbors generation We generated 531 left neighbors We generated 9479 right neighbors We generated 10009 non-negative rho_i D1(683,751) = 0.6187975322631143413 D2(683,751) = 0.01744889922327678276 C1(683,751) = 0.8920198558628286771 C2(683,751) = 1.463386740785478124 C3(683,751) = 5.329797839313002708 C4(683,751) = 6008 Sum = 4446.770577514426237 Averaged sum = 0.4442772082640050191 logp*logq = 43.21456994937160224 -------------- ************************************* p = 683; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.171695032925880898 E18 -------------- Searches starting with [683,757]-exponents: u = 1, v = 63 n_start has 185 digits starting right neighbors generation We generated 491 left neighbors We generated 9519 right neighbors We generated 10009 non-negative rho_i D1(683,757) = 0.6647621009104438855 D2(683,757) = 0.01031903767699299335 C1(683,757) = 0.9213578693433364564 C2(683,757) = 1.477791732397498868 C3(683,757) = 5.631341037257251547 C4(683,757) = 6056 Sum = 4017.694663723514586 Averaged sum = 0.4014081989932575268 logp*logq = 43.26650519578699819 -------------- ************************************* p = 683; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.387665283801574274 E18 -------------- Searches starting with [683,761]-exponents: u = 1, v = 60 n_start has 176 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(683,761) = 0.5422333641542453120 D2(683,761) = 0.002091426661818909015 C1(683,761) = 0.7896705469566344332 C2(683,761) = 1.483752537033649447 C3(683,761) = 4.398745154310881981 C4(683,761) = 6088 Sum = 3948.569800292758772 Averaged sum = 0.3945019282938114469 logp*logq = 43.30090050522118264 -------------- ************************************* p = 683; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.838855410365182428 E18 -------------- Searches starting with [683,769]-exponents: u = 1, v = 55 n_start has 162 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(683,769) = 0.9481423119172010201 D2(683,769) = 0.03500279790934208798 C1(683,769) = 1.389990965658208887 C2(683,769) = 1.537703572347720991 C3(683,769) = 13.56431417510259116 C4(683,769) = 6152 Sum = 3181.108874368408283 Averaged sum = 0.3178248450762721833 logp*logq = 43.36915205385886307 -------------- ************************************* p = 683; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.074383850188478749 E18 -------------- Searches starting with [683,773]-exponents: u = 1, v = 52 n_start has 154 digits starting right neighbors generation We generated 308 left neighbors We generated 9702 right neighbors We generated 10009 non-negative rho_i D1(683,773) = 0.5733031856816135894 D2(683,773) = 0.03984742463293663023 C1(683,773) = 0.8429062345425196587 C2(683,773) = 1.553883639935387423 C3(683,773) = 4.860700379843629043 C4(683,773) = 6184 Sum = 4166.935119619553432 Averaged sum = 0.4163188250194378491 logp*logq = 43.40301202531713385 -------------- ************************************* p = 683; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.953608394948279079 E18 -------------- Searches starting with [683,787]-exponents: u = 1, v = 46 n_start has 137 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(683,787) = 0.8720759402364056573 D2(683,787) = 0.04527742729364493019 C1(683,787) = 1.296971462907753171 C2(683,787) = 1.597652373768997054 C3(683,787) = 11.39243899770499771 C4(683,787) = 6296 Sum = 2891.020519440255912 Averaged sum = 0.2888420940593721562 logp*logq = 43.52015738574091547 -------------- ************************************* p = 683; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.636799144347338934 E18 -------------- Searches starting with [683,797]-exponents: u = 1, v = 42 n_start has 125 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(683,797) = 0.5612075334855069920 D2(683,797) = 0.01187156179259887432 C1(683,797) = 0.7654955770852472945 C2(683,797) = 1.594057202598929876 C3(683,797) = 4.203721509839061441 C4(683,797) = 6376 Sum = 3818.872283265357801 Averaged sum = 0.3815438388715513838 logp*logq = 43.60256371866380026 -------------- ************************************* p = 683; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.521625109450524041 E18 -------------- Searches starting with [683,809]-exponents: u = 1, v = 38 n_start has 114 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(683,809) = 0.6551215621683119255 D2(683,809) = 0.03554832769977278140 C1(683,809) = 0.9363772231200348174 C2(683,809) = 1.643669359462999249 C3(683,809) = 5.792256644177746541 C4(683,809) = 6472 Sum = 4235.397177979204886 Averaged sum = 0.4231588748105909567 logp*logq = 43.70009721290190891 -------------- ************************************* p = 683; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.676307281458891822 E18 -------------- Searches starting with [683,811]-exponents: u = 1, v = 37 n_start has 111 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(683,811) = 1.268676858231286322 D2(683,811) = 0.002566294553832869273 C1(683,811) = 1.918283202727958288 C2(683,811) = 1.619620604330882542 C3(683,811) = 36.54154958523958461 C4(683,811) = 6488 Sum = 6262.138858709810377 Averaged sum = 0.6256508001508452769 logp*logq = 43.71621202321148107 -------------- ************************************* p = 683; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.048203568707239648 E19 -------------- Searches starting with [683,821]-exponents: u = 1, v = 35 n_start has 105 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(683,821) = 0.7030210010665312374 D2(683,821) = 0.02130244908490555097 C1(683,821) = 1.010395080786631284 C2(683,821) = 1.658346379487648195 C3(683,821) = 6.655009269237879214 C4(683,821) = 6568 Sum = 4178.439675141466134 Averaged sum = 0.4174682460926632165 logp*logq = 43.79619457887226701 -------------- ************************************* p = 683; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.064981437418914820 E19 -------------- Searches starting with [683,823]-exponents: u = 1, v = 35 n_start has 105 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(683,823) = 1.458654767533887088 D2(683,823) = 0.05352385247523090452 C1(683,823) = 2.222219278225633458 C2(683,823) = 1.690910374849563439 C3(683,823) = 64.62456045091273704 C4(683,823) = 6584 Sum = 2580.983903793292843 Averaged sum = 0.2578663106996995547 logp*logq = 43.81207413624275715 -------------- ************************************* p = 683; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.099220225795646960 E19 -------------- Searches starting with [683,827]-exponents: u = 1, v = 34 n_start has 103 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(683,827) = 0.7010543492012242550 D2(683,827) = 0.03839900054146643594 C1(683,827) = 1.070954111265833214 C2(683,827) = 1.686209537679520657 C3(683,827) = 7.455639416113876849 C4(683,827) = 6616 Sum = 2640.427632324302637 Averaged sum = 0.2638053384278452030 logp*logq = 43.84371780967264042 -------------- ************************************* p = 683; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.116686179044787158 E19 -------------- Searches starting with [683,829]-exponents: u = 1, v = 33 n_start has 100 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(683,829) = 0.6623476826456970825 D2(683,829) = 0.07120933277609522726 C1(683,829) = 0.9298711114140945010 C2(683,829) = 1.719361327377063177 C3(683,829) = 5.721993989980444910 C4(683,829) = 6632 Sum = 4117.871405682256213 Averaged sum = 0.4114168653893751836 logp*logq = 43.85948229767451999 -------------- ************************************* p = 683; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.207584160700888578 E19 -------------- Searches starting with [683,839]-exponents: u = 1, v = 31 n_start has 94 digits **************************************************** Computing .... elapsed time = 50 minutes **************************************************** starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(683,839) = 0.5784847663827575838 D2(683,839) = 0.05405025552827794568 C1(683,839) = 0.8010731378446265626 C2(683,839) = 1.724759224113845172 C3(683,839) = 4.493846814416013212 C4(683,839) = 6712 Sum = 4069.658879151180447 Averaged sum = 0.4065999479619522876 logp*logq = 43.93773856930565815 -------------- ************************************* p = 683; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.345314383738626757 E19 -------------- Searches starting with [683,853]-exponents: u = 1, v = 29 n_start has 88 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(683,853) = 0.6094472016617342421 D2(683,853) = 0.07099568145935804138 C1(683,853) = 0.8628916621135638893 C2(683,853) = 1.767032064331321561 C3(683,853) = 5.046387309952659479 C4(683,853) = 6824 Sum = 4132.531880846755216 Averaged sum = 0.4128815946494909798 logp*logq = 44.04574449518373500 -------------- ************************************* p = 683; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.387024899563310333 E19 -------------- Searches starting with [683,857]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(683,857) = 0.7340973756608548402 D2(683,857) = 0.02693087771422466980 C1(683,857) = 1.022241018877349085 C2(683,857) = 1.736030357733038549 C3(683,857) = 6.804548494647815024 C4(683,857) = 6856 Sum = 4069.073882348687327 Averaged sum = 0.4065415008840730669 logp*logq = 44.07627786015886555 -------------- ************************************* p = 683; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.408287426288435888 E19 -------------- Searches starting with [683,859]-exponents: u = 1, v = 28 n_start has 85 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(683,859) = 0.6971838298387088704 D2(683,859) = 0.05307320212307955844 C1(683,859) = 1.017923066635063000 C2(683,859) = 1.762509568664210789 C3(683,859) = 6.749654832594785002 C4(683,859) = 6872 Sum = 4014.894145322471640 Averaged sum = 0.4011283989731713098 logp*logq = 44.09149114177834053 -------------- ************************************* p = 683; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.451641467983820760 E19 -------------- Searches starting with [683,863]-exponents: u = 1, v = 27 n_start has 83 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(683,863) = 0.7150926186553600518 D2(683,863) = 0.005753256965867095271 C1(683,863) = 1.113459995804859693 C2(683,863) = 1.728935529933240574 C3(683,863) = 8.074461901481701863 C4(683,863) = 6904 Sum = 3840.012043250924550 Averaged sum = 0.3836559140024902138 logp*logq = 44.12181172992284316 -------------- ************************************* p = 683; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.612396021270574402 E19 -------------- Searches starting with [683,877]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(683,877) = 0.7018511054541310535 D2(683,877) = 0.07216996512014231618 C1(683,877) = 1.101337141233695239 C2(683,877) = 1.811524062834730213 C3(683,877) = 7.892913485905853698 C4(683,877) = 7016 Sum = 3128.646602960473900 Averaged sum = 0.3125833352942825358 logp*logq = 44.22683805156256768 -------------- ************************************* p = 683; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.661001894550561721 E19 -------------- Searches starting with [683,881]-exponents: u = 1, v = 25 n_start has 77 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(683,881) = 0.6092593487710696776 D2(683,881) = 0.008647884457505438287 C1(683,881) = 0.8700727679076365918 C2(683,881) = 1.763331674997488949 C3(683,881) = 5.114826219836860975 C4(683,881) = 7048 Sum = 4149.475539023542710 Averaged sum = 0.4145744369091360486 logp*logq = 44.25653773812578094 -------------- ************************************* p = 683; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.685766380544905415 E19 -------------- Searches starting with [683,883]-exponents: u = 1, v = 25 n_start has 77 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(683,883) = 0.6200623282454597067 D2(683,883) = 0.03037163509954984154 C1(683,883) = 0.8582781122749087453 C2(683,883) = 1.785388281502502462 C3(683,883) = 5.002902196090589202 C4(683,883) = 7064 Sum = 3866.959682799185869 Averaged sum = 0.3863482548505530891 logp*logq = 44.27133705253874335 -------------- ************************************* p = 683; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.736234378392806598 E19 -------------- Searches starting with [683,887]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(683,887) = 0.9587111309605056856 D2(683,887) = 0.07800293582808661270 C1(683,887) = 1.510695227033086664 C2(683,887) = 1.833683022543969382 C3(683,887) = 17.01113095967906839 C4(683,887) = 7096 Sum = 4507.345859714697763 Averaged sum = 0.4503292896108200382 logp*logq = 44.30083538460685096 -------------- ************************************* p = 683; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.008208290411331879 E19 -------------- Searches starting with [683,907]-exponents: u = 1, v = 23 n_start has 71 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(683,907) = 1.177472510415836669 D2(683,907) = 0.05316581637855282048 C1(683,907) = 1.872488089899088828 C2(683,907) = 1.844360571129460725 C3(683,907) = 33.53347784746579316 C4(683,907) = 7256 Sum = 1871.640943741839075 Averaged sum = 0.1869957981558436482 logp*logq = 44.44635969362126464 -------------- ************************************* p = 683; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.066719199979704778 E19 -------------- Searches starting with [683,911]-exponents: u = 1, v = 22 n_start has 68 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(683,911) = 0.7904229017767619296 D2(683,911) = 0.09891961019489990366 C1(683,911) = 1.138262915728482518 C2(683,911) = 1.890767808656807825 C3(683,911) = 8.459019624707892973 C4(683,911) = 7288 Sum = 4455.143019363397716 Averaged sum = 0.4451136996066937472 logp*logq = 44.47507918929175654 -------------- ************************************* p = 683; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.188081288966826564 E19 -------------- Searches starting with [683,919]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(683,919) = 1.164781003296197702 D2(683,919) = 0.04407350475984787559 C1(683,919) = 1.861633753898174667 C2(683,919) = 1.855016267624995223 C3(683,919) = 32.85759612948310075 C4(683,919) = 7352 Sum = 5009.394814450989362 Averaged sum = 0.5004890413079218066 logp*logq = 44.53214180293510042 -------------- ************************************* p = 683; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.348222799994961391 E19 -------------- Searches starting with [683,929]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(683,929) = 0.5558014802140521238 D2(683,929) = 0.004677325377307482837 C1(683,929) = 0.7771864283426282386 C2(683,929) = 1.836342274384381380 C3(683,929) = 4.296929612998239532 C4(683,929) = 7432 Sum = 3995.006587902181470 Averaged sum = 0.3991414315018664672 logp*logq = 44.60277555361633220 -------------- ************************************* p = 683; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.483379912634880091 E19 -------------- Searches starting with [683,937]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(683,937) = 0.6130941762052731028 D2(683,937) = 0.07916878548251847691 C1(683,937) = 0.8886040685103632053 C2(683,937) = 1.912123451502743851 C3(683,937) = 5.295755949450485670 C4(683,937) = 7496 Sum = 4066.870124576934269 Averaged sum = 0.4063213232667533488 logp*logq = 44.65873726720004405 -------------- ************************************* p = 683; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.553391402682165202 E19 -------------- Searches starting with [683,941]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(683,941) = 0.5669826623404208692 D2(683,941) = 0.1229641063884240923 C1(683,941) = 0.8227257159601752961 C2(683,941) = 1.956559480428766581 C3(683,941) = 4.680132908256699460 C4(683,941) = 7528 Sum = 3961.686816977108023 Averaged sum = 0.3958124504922677613 logp*logq = 44.68653920427746669 -------------- ************************************* p = 683; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.661539023897874999 E19 -------------- Searches starting with [683,947]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(683,947) = 0.9434725410779650497 D2(683,947) = 0.02093329164034013413 C1(683,947) = 1.524789281120890012 C2(683,947) = 1.876084188758862332 C3(683,947) = 17.46687981459367591 C4(683,947) = 7576 Sum = 4068.937712649260742 Averaged sum = 0.4065278961583835290 logp*logq = 44.72802130278009662 -------------- ************************************* p = 683; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.773540437742598587 E19 -------------- Searches starting with [683,953]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(683,953) = 0.6626255660969511540 D2(683,953) = 0.07420843688327376753 C1(683,953) = 0.9308180407553985803 C2(683,953) = 1.930315920394742891 C3(683,953) = 5.732167094204172228 C4(683,953) = 7624 Sum = 4010.339498737154691 Averaged sum = 0.4006733438642376552 logp*logq = 44.76924140733433043 -------------- ************************************* p = 683; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.050496539967903088 E19 -------------- Searches starting with [683,967]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(683,967) = 0.5690805097033063002 D2(683,967) = 0.03397675897064643473 C1(683,967) = 0.8133984354288457451 C2(683,967) = 1.914603067631262479 C3(683,967) = 4.598957938715334465 C4(683,967) = 7736 Sum = 3779.338276285084843 Averaged sum = 0.3775939930347771849 logp*logq = 44.86442114424518449 -------------- ************************************* p = 683; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.133797634539709006 E19 -------------- Searches starting with [683,971]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(683,971) = 0.6008841994590039969 D2(683,971) = 0.06747185951696395921 C1(683,971) = 0.9085692733069109233 C2(683,971) = 1.948727998116108163 C3(683,971) = 5.497854167389238438 C4(683,971) = 7768 Sum = 3577.151224456422652 Averaged sum = 0.3573934683241505297 logp*logq = 44.89136233775303895 -------------- ************************************* p = 683; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.262357124568241419 E19 -------------- Searches starting with [683,977]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(683,977) = 0.5760250834993197107 D2(683,977) = 0.1241255031023053091 C1(683,977) = 0.8247812045493639956 C2(683,977) = 2.006321507804426322 C3(683,977) = 4.698213537969802792 C4(683,977) = 7816 Sum = 3669.743136414403650 Averaged sum = 0.3666443337410733989 logp*logq = 44.93156674534093998 -------------- ************************************* p = 683; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.395354707943795739 E19 -------------- Searches starting with [683,983]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 36 left neighbors We generated 9974 right neighbors We generated 10009 non-negative rho_i D1(683,983) = 0.7421745857583201047 D2(683,983) = 0.1231167681516186526 C1(683,983) = 1.215005935979647216 C2(683,983) = 1.328740665704139366 C3(683,983) = 9.768795907065162035 C4(683,983) = 7864 Sum = 3614.927082049139134 Averaged sum = 0.3611676573133319147 logp*logq = 44.97152500195208705 -------------- ************************************* p = 683; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.579804460912674241 E19 -------------- Searches starting with [683,991]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(683,991) = 0.6678406563783256357 D2(683,991) = 0.05556288457052569811 C1(683,991) = 1.014793606423069981 C2(683,991) = 1.964215410647566349 C3(683,991) = 6.710147326899427419 C4(683,991) = 7928 Sum = 3454.263310312498347 Averaged sum = 0.3451157268770604802 logp*logq = 45.02442494595096333 -------------- ************************************* p = 683; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.723647281181569409 E19 -------------- Searches starting with [683,997]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(683,997) = 0.8206872517738086346 D2(683,997) = 0.1060925099011709442 C1(683,997) = 1.179508351721695378 C2(683,997) = 2.015673223139954937 C3(683,997) = 9.139487944458740203 C4(683,997) = 7976 Sum = 4561.569184377121953 Averaged sum = 0.4557467463659828108 logp*logq = 45.06382040677339262 -------------- ************************************* p = 691; q = 701; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.033687975502822828 E18 -------------- Searches starting with [691,701]-exponents: u = 1, v = 455 n_start has 1298 digits --- performed 5000 steps in the continued fraction search [691,701]-exponents: u = 50, v = 395 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(691,701) = 0.9132771985386165314 D2(691,701) = 0.1308952567504710252 C1(691,701) = 1.193362044524944319 C2(691,701) = 1.216280170954147409 C3(691,701) = 9.400091829184021601 C4(691,701) = 5608 Sum = 5303.279674041615434 Averaged sum = 0.5303810055047120146 logp*logq = 42.84121276177260190 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(691,701) = 0.9132771985386165314 D2(691,701) = 0.1308952567504710252 C1(691,701) = 1.193362044524944319 C2(691,701) = 1.216280170954147409 C3(691,701) = 9.400091829184021601 C4(691,701) = 5608 Sum = 5303.279674041615434 Averaged sum = 0.5303810055047120146 logp*logq = 42.84121276177260190 -------------- ************************************* p = 691; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.344338666891648040 E18 -------------- Searches starting with [691,709]-exponents: u = 1, v = 254 n_start has 727 digits --- performed 5000 steps in the continued fraction search [691,709]-exponents: u = 110, v = 125 --- starting right neighbors generation We generated 6789 left neighbors We generated 3221 right neighbors We generated 10009 non-negative rho_i D1(691,709) = 0.6814900524233840302 D2(691,709) = 0.005021540487908785655 C1(691,709) = 0.9124125671914021581 C2(691,709) = 1.187265715664481683 C3(691,709) = 5.546648742428032957 C4(691,709) = 5672 Sum = 4932.456295805533290 Averaged sum = 0.4928021076836380548 logp*logq = 42.91540521547721019 -------------- ************************************* p = 691; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.760942363841155642 E18 -------------- Searches starting with [691,719]-exponents: u = 1, v = 164 n_start has 472 digits starting right neighbors generation We generated 2834 left neighbors We generated 7176 right neighbors We generated 10009 non-negative rho_i D1(691,719) = 0.5912513253879983430 D2(691,719) = 0.009994429559315938052 C1(691,719) = 0.8084202017901839964 C2(691,719) = 1.268154741366846478 C3(691,719) = 4.562781292205488572 C4(691,719) = 5752 Sum = 4705.597696070411022 Averaged sum = 0.4701366466250785315 logp*logq = 43.00697729813845003 -------------- ************************************* p = 691; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.118139145002083001 E18 -------------- Searches starting with [691,727]-exponents: u = 1, v = 128 n_start has 370 digits starting right neighbors generation We generated 1728 left neighbors We generated 8282 right neighbors We generated 10009 non-negative rho_i D1(691,727) = 0.6390368458571801793 D2(691,727) = 0.01427365698208166872 C1(691,727) = 0.8855454772092975835 C2(691,727) = 1.319951216437443822 C3(691,727) = 5.273777248663706315 C4(691,727) = 5816 Sum = 4634.128576615149967 Averaged sum = 0.4629961611165101376 logp*logq = 43.07932259863913829 -------------- ************************************* p = 691; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.400704255814554711 E18 -------------- Searches starting with [691,733]-exponents: u = 1, v = 110 n_start has 319 digits starting right neighbors generation We generated 1277 left neighbors We generated 8733 right neighbors We generated 10009 non-negative rho_i D1(691,733) = 0.6759315913130052549 D2(691,733) = 0.01763207855783801442 C1(691,733) = 0.9449079772937579156 C2(691,733) = 1.354176261084561942 C3(691,733) = 5.895615915429506731 C4(691,733) = 5864 Sum = 4644.303674905544258 Averaged sum = 0.4640127560101452950 logp*logq = 43.13306103670283251 -------------- ************************************* p = 691; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.696373309838228839 E18 -------------- Searches starting with [691,739]-exponents: u = 1, v = 97 n_start has 282 digits starting right neighbors generation We generated 1033 left neighbors We generated 8977 right neighbors We generated 10009 non-negative rho_i D1(691,739) = 0.5765433319461667137 D2(691,739) = 0.02110674336834225618 C1(691,739) = 0.8126533845728843885 C2(691,739) = 1.385514362663839374 C3(691,739) = 4.599192833647714652 C4(691,739) = 5912 Sum = 3946.062695867493435 Averaged sum = 0.3942514432877903322 logp*logq = 43.18636138480123231 -------------- ************************************* p = 691; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.901009269444120157 E18 -------------- Searches starting with [691,743]-exponents: u = 1, v = 90 n_start has 262 digits starting right neighbors generation We generated 956 left neighbors We generated 9054 right neighbors We generated 10009 non-negative rho_i D1(691,743) = 0.7535930809891145933 D2(691,743) = 0.01037452554150102463 C1(691,743) = 1.067278385741282379 C2(691,743) = 1.393463269016243896 C3(691,743) = 7.418509319477208538 C4(691,743) = 5944 Sum = 3863.041180189436363 Averaged sum = 0.3859567569376997065 logp*logq = 43.22165507279260234 -------------- ************************************* p = 691; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.329013046825580153 E18 -------------- Searches starting with [691,751]-exponents: u = 1, v = 78 n_start has 228 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(691,751) = 0.5115870238132988054 D2(691,751) = 0.02251882288852385447 C1(691,751) = 0.7307967260272114256 C2(691,751) = 1.436603787410848711 C3(691,751) = 3.943948747813500787 C4(691,751) = 6008 Sum = 4353.613777906266373 Averaged sum = 0.4349699048762380231 logp*logq = 43.29167598111941337 -------------- ************************************* p = 691; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.667014907379615977 E18 -------------- Searches starting with [691,757]-exponents: u = 1, v = 71 n_start has 208 digits starting right neighbors generation We generated 555 left neighbors We generated 9455 right neighbors We generated 10009 non-negative rho_i D1(691,757) = 0.5663501847238168113 D2(691,757) = 0.02915830689856338455 C1(691,757) = 0.8142045147563259466 C2(691,757) = 1.464857955076856574 C3(691,757) = 4.612607433542688513 C4(691,757) = 6056 Sum = 4363.468125131218248 Averaged sum = 0.4359544535049673541 logp*logq = 43.34370389352138809 -------------- ************************************* p = 691; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.900741704555727898 E18 -------------- Searches starting with [691,761]-exponents: u = 1, v = 67 n_start has 196 digits starting right neighbors generation We generated 523 left neighbors We generated 9487 right neighbors We generated 10009 non-negative rho_i D1(691,761) = 0.6123295400243528518 D2(691,761) = 0.01399073931944132767 C1(691,761) = 0.8838725938978694859 C2(691,761) = 1.465567880098188333 C3(691,761) = 5.257237808909288247 C4(691,761) = 6088 Sum = 4422.213118445963144 Averaged sum = 0.4418236705411093160 logp*logq = 43.37816057313290660 -------------- ************************************* p = 691; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.389072549876542844 E18 -------------- Searches starting with [691,769]-exponents: u = 1, v = 61 n_start has 179 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(691,769) = 0.7082889169046111628 D2(691,769) = 0.01289357797466680059 C1(691,769) = 1.030529894267475869 C2(691,769) = 1.491324305597686228 C3(691,769) = 6.923886414867976104 C4(691,769) = 6152 Sum = 3303.847079783877440 Averaged sum = 0.3300876291121867759 logp*logq = 43.44653390028376579 -------------- ************************************* p = 691; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.644012126958364779 E18 -------------- Searches starting with [691,773]-exponents: u = 1, v = 58 n_start has 171 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(691,773) = 0.6524206049233503020 D2(691,773) = 0.03538296597125825159 C1(691,773) = 0.8888294195377229860 C2(691,773) = 1.523838878534777326 C3(691,773) = 5.306396366299940361 C4(691,773) = 6184 Sum = 3525.474911883335406 Averaged sum = 0.3522304837529558803 logp*logq = 43.48045428673719445 -------------- ************************************* p = 691; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.595828187252513050 E18 -------------- Searches starting with [691,787]-exponents: u = 1, v = 50 n_start has 148 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(691,787) = 0.5805784578352974493 D2(691,787) = 0.003165211900010208988 C1(691,787) = 0.8578422142523028464 C2(691,787) = 1.536763424171030014 C3(691,787) = 5.006463336485614074 C4(691,787) = 6296 Sum = 3649.278972585598182 Averaged sum = 0.3645997574768306706 logp*logq = 43.59780866495035886 -------------- ************************************* p = 691; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.335556208157874207 E18 -------------- Searches starting with [691,797]-exponents: u = 1, v = 45 n_start has 134 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(691,797) = 0.6299210540503659360 D2(691,797) = 0.002257863387763370400 C1(691,797) = 0.9371230334934785172 C2(691,797) = 1.563023994226806353 C3(691,797) = 5.810064014667380609 C4(691,797) = 6376 Sum = 4175.824874598484504 Averaged sum = 0.4172070011588055254 logp*logq = 43.68036203220286943 -------------- ************************************* p = 691; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.029375991004418447 E19 -------------- Searches starting with [691,809]-exponents: u = 1, v = 41 n_start has 123 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(691,809) = 0.7372530165035625559 D2(691,809) = 0.05725632984763046274 C1(691,809) = 1.048847385038798971 C2(691,809) = 1.641501711031347796 C3(691,809) = 7.166168400427191628 C4(691,809) = 6472 Sum = 4294.955990252367376 Averaged sum = 0.4291094005647284820 logp*logq = 43.77806955156056180 -------------- ************************************* p = 691; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.046128647451926238 E19 -------------- Searches starting with [691,811]-exponents: u = 1, v = 40 n_start has 120 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(691,811) = 0.6400313124354883483 D2(691,811) = 0.03018804579518433450 C1(691,811) = 0.9615569262598779956 C2(691,811) = 1.622439222942132896 C3(691,811) = 6.082829423313035068 C4(691,811) = 6488 Sum = 4086.655702034289445 Averaged sum = 0.4082981019117084069 logp*logq = 43.79421311488275900 -------------- ************************************* p = 691; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.133399601705091085 E19 -------------- Searches starting with [691,821]-exponents: u = 1, v = 37 n_start has 111 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(691,821) = 0.7907694763678708265 D2(691,821) = 0.005955684734388033521 C1(691,821) = 1.196055528948874278 C2(691,821) = 1.624722546071586967 C3(691,821) = 9.447752538212901040 C4(691,821) = 6568 Sum = 4494.522884355805356 Averaged sum = 0.4490481451049860482 logp*logq = 43.87433838022417526 -------------- ************************************* p = 691; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.151573771701354793 E19 -------------- Searches starting with [691,823]-exponents: u = 1, v = 37 n_start has 111 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(691,823) = 0.5362651347678239609 D2(691,823) = 0.03836964146110667252 C1(691,823) = 0.7680710232500319411 C2(691,823) = 1.657476490203353675 C3(691,823) = 4.229867320658846678 C4(691,823) = 6584 Sum = 3925.261465666309409 Averaged sum = 0.3921731906950054360 logp*logq = 43.89024627085486410 -------------- ************************************* p = 691; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.188663584657828949 E19 -------------- Searches starting with [691,827]-exponents: u = 1, v = 36 n_start has 108 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(691,827) = 0.5245389798229564323 D2(691,827) = 0.03250989901058936274 C1(691,827) = 0.7332729178184972357 C2(691,827) = 1.661246825226017661 C3(691,827) = 3.962328548969402810 C4(691,827) = 6616 Sum = 4072.120692766883620 Averaged sum = 0.4068459079595247897 logp*logq = 43.92194640482782255 -------------- ************************************* p = 691; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.207584705889712058 E19 -------------- Searches starting with [691,829]-exponents: u = 1, v = 35 n_start has 105 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(691,829) = 0.7435166413119421586 D2(691,829) = 0.06654367728528391757 C1(691,829) = 1.130140225303688276 C2(691,829) = 1.695619378226393049 C3(691,829) = 8.347906919234564865 C4(691,829) = 6632 Sum = 4271.045934077785384 Averaged sum = 0.4267205449173529207 logp*logq = 43.93773902077622074 -------------- ************************************* p = 691; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.306064157790456960 E19 -------------- Searches starting with [691,839]-exponents: u = 1, v = 33 n_start has 100 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(691,839) = 0.6618101553990735009 D2(691,839) = 0.07075624150935892694 C1(691,839) = 0.9293705021287575989 C2(691,839) = 1.720603170015653168 C3(691,839) = 5.726102042448678929 C4(691,839) = 6712 Sum = 4113.796364881461144 Averaged sum = 0.4110097277331862468 logp*logq = 44.01613492194831985 -------------- ************************************* p = 691; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.455306878729815703 E19 -------------- Searches starting with [691,853]-exponents: u = 1, v = 31 n_start has 94 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(691,853) = 0.8822284637127058021 D2(691,853) = 0.02053070433262948090 C1(691,853) = 1.360204598152796219 C2(691,853) = 1.704799443660704867 C3(691,853) = 12.85832972101973685 C4(691,853) = 6824 Sum = 2258.356102856363010 Averaged sum = 0.2256325409987374373 logp*logq = 44.12433355848762655 -------------- ************************************* p = 691; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.500509378366830750 E19 -------------- Searches starting with [691,857]-exponents: u = 1, v = 30 n_start has 91 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(691,857) = 0.5906206146455169985 D2(691,857) = 0.07783828785971388531 C1(691,857) = 0.8347142285901942193 C2(691,857) = 1.762776816624000989 C3(691,857) = 4.793704144301531618 C4(691,857) = 6856 Sum = 4106.484049844862256 Averaged sum = 0.4102791537461147223 logp*logq = 44.15492140292678735 -------------- ************************************* p = 691; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.523552931372270680 E19 -------------- Searches starting with [691,859]-exponents: u = 1, v = 30 n_start has 91 digits starting right neighbors generation We generated 149 left neighbors We generated 9861 right neighbors We generated 10009 non-negative rho_i D1(691,859) = 0.8804648186464780463 D2(691,859) = 0.01209653571546126158 C1(691,859) = 1.361896184788258271 C2(691,859) = 1.709141086341279223 C3(691,859) = 12.89923543302278342 C4(691,859) = 6872 Sum = 2205.837087683984154 Averaged sum = 0.2203853619426500303 logp*logq = 44.17016182899724065 -------------- ************************************* p = 691; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.570540378188923993 E19 -------------- Searches starting with [691,863]-exponents: u = 1, v = 29 n_start has 88 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(691,863) = 0.5953508022460337093 D2(691,863) = 0.06567190108224926002 C1(691,863) = 0.8178612065973579288 C2(691,863) = 1.763384630864103751 C3(691,863) = 4.644386556513559625 C4(691,863) = 6904 Sum = 3820.652498782147665 Averaged sum = 0.3817217003479016550 logp*logq = 44.20053651695657011 -------------- ************************************* p = 691; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.744788711313991082 E19 -------------- Searches starting with [691,877]-exponents: u = 1, v = 27 n_start has 83 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(691,877) = 0.5686661087406367089 D2(691,877) = 0.04736883725800173568 C1(691,877) = 0.8327630445827516880 C2(691,877) = 1.772888322177609066 C3(691,877) = 4.776173841743803593 C4(691,877) = 7016 Sum = 3726.363032696429594 Averaged sum = 0.3723012321606983309 logp*logq = 44.30575023286864760 -------------- ************************************* p = 691; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.797480827781841688 E19 -------------- Searches starting with [691,881]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 80 left neighbors We generated 9930 right neighbors We generated 10009 non-negative rho_i D1(691,881) = 0.7428506335566155044 D2(691,881) = 0.1020261230846759120 C1(691,881) = 1.161437034652654530 C2(691,881) = 1.828206484097376644 C3(691,881) = 8.853168145352569821 C4(691,881) = 7048 Sum = 3879.218205913646900 Averaged sum = 0.3875730048869664202 logp*logq = 44.33550291139678671 -------------- ************************************* p = 691; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.824328300469868165 E19 -------------- Searches starting with [691,883]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(691,883) = 1.238387977241511162 D2(691,883) = 0.01581412868200331673 C1(691,883) = 1.764603500397192946 C2(691,883) = 1.756163613568167209 C3(691,883) = 27.47598957855001031 C4(691,883) = 7064 Sum = 5200.300655547572077 Averaged sum = 0.5195624593413499926 logp*logq = 44.35032863163556917 -------------- ************************************* p = 691; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.879043422466089037 E19 -------------- Searches starting with [691,887]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(691,887) = 0.5915755540777298723 D2(691,887) = 0.06314510948039561778 C1(691,887) = 0.9286252767306273492 C2(691,887) = 1.804154409017470136 C3(691,887) = 5.718095257161092877 C4(691,887) = 7096 Sum = 3752.063039522701667 Averaged sum = 0.3748689219225398808 logp*logq = 44.37987959639981644 -------------- ************************************* p = 691; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.173952179140617147 E19 -------------- Searches starting with [691,907]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(691,907) = 0.9011100964532681864 D2(691,907) = 0.06001492601098381264 C1(691,907) = 1.426760758236153693 C2(691,907) = 1.834575855360223494 C3(691,907) = 14.56994990480280381 C4(691,907) = 7256 Sum = 1854.808828343526596 Averaged sum = 0.1853141001442228590 logp*logq = 44.52566355862850691 -------------- ************************************* p = 691; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.237406830861739488 E19 -------------- Searches starting with [691,911]-exponents: u = 1, v = 23 n_start has 71 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(691,911) = 0.7409569465753086276 D2(691,911) = 0.1088087834224030081 C1(691,911) = 1.064200154342808129 C2(691,911) = 1.884019233696480546 C3(691,911) = 7.375755127669195210 C4(691,911) = 7288 Sum = 4356.097052785667427 Averaged sum = 0.4352180090704033797 logp*logq = 44.55443429734845053 -------------- ************************************* p = 691; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.369033245527217800 E19 -------------- Searches starting with [691,919]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(691,919) = 0.7695668385480889152 D2(691,919) = 0.06245987887481346541 C1(691,919) = 1.224241090481153764 C2(691,919) = 1.855606343333318630 C3(691,919) = 9.961220279664396144 C4(691,919) = 7352 Sum = 3721.430685770959023 Averaged sum = 0.3718084409802137099 logp*logq = 44.61159872553499942 -------------- ************************************* p = 691; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.542738724929806883 E19 -------------- Searches starting with [691,929]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(691,929) = 0.9445043457385107452 D2(691,929) = 0.03146872326451137146 C1(691,929) = 1.264775986229178036 C2(691,929) = 1.844028617999720728 C3(691,929) = 10.74897109982308821 C4(691,929) = 7432 Sum = 3280.984013788908121 Averaged sum = 0.3278033783383862645 logp*logq = 44.68235850519740294 -------------- ************************************* p = 691; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.689360148060903266 E19 -------------- Searches starting with [691,937]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(691,937) = 0.6947327316081484693 D2(691,937) = 0.1164148527298006181 C1(691,937) = 1.037412648436494940 C2(691,937) = 1.930255885682520162 C3(691,937) = 7.013947414960575466 C4(691,937) = 7496 Sum = 3707.034550130747738 Averaged sum = 0.3703701219033617482 logp*logq = 44.73842006903229866 -------------- ************************************* p = 691; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.765315809056798726 E19 -------------- Searches starting with [691,941]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(691,941) = 0.6680189912703668654 D2(691,941) = 0.009253444899840654661 C1(691,941) = 0.9245059652674194807 C2(691,941) = 1.842848818940183144 C3(691,941) = 5.674038471447559658 C4(691,941) = 7528 Sum = 3970.304257945650767 Averaged sum = 0.3966734197168199387 logp*logq = 44.76627161199601043 -------------- ************************************* p = 691; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.882652734181654687 E19 -------------- Searches starting with [691,947]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(691,947) = 0.8152342815298938269 D2(691,947) = 0.06366501015084066045 C1(691,947) = 1.157992530156493096 C2(691,947) = 1.898216324206113050 C3(691,947) = 8.796094308090674522 C4(691,947) = 7576 Sum = 4413.368139320668796 Averaged sum = 0.4409399679609020678 logp*logq = 44.80782772535075752 -------------- ************************************* p = 691; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.004179874400115159 E19 -------------- Searches starting with [691,953]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(691,953) = 0.8970344073248308228 D2(691,953) = 0.1275035030321387352 C1(691,953) = 1.302028569235707884 C2(691,953) = 1.963004679846145331 C3(691,953) = 11.52775321705990362 C4(691,953) = 7624 Sum = 4706.625268079324095 Averaged sum = 0.4702393114276475267 logp*logq = 44.84912137729176692 -------------- ************************************* p = 691; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.304728007764132568 E19 -------------- Searches starting with [691,967]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(691,967) = 0.6244126022030732014 D2(691,967) = 0.09562446439612768260 C1(691,967) = 0.9401274944633896299 C2(691,967) = 1.953940615018981870 C3(691,967) = 5.842933153431139292 C4(691,967) = 7736 Sum = 3431.002539511784549 Averaged sum = 0.3427917413839329153 logp*logq = 44.94447093960698332 -------------- ************************************* p = 691; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.395134700360486373 E19 -------------- Searches starting with [691,971]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(691,971) = 0.5249886527780084462 D2(691,971) = 0.1380977586761398509 C1(691,971) = 0.8541015588262843498 C2(691,971) = 1.997039047811165860 C3(691,971) = 4.971422881589997091 C4(691,971) = 7768 Sum = 4003.786658939776042 Averaged sum = 0.4000186491097788032 logp*logq = 44.97146020321074234 -------------- ************************************* p = 691; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.534668714201883335 E19 -------------- Searches starting with [691,977]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(691,977) = 0.7190913778772035160 D2(691,977) = 0.01842114665455901797 C1(691,977) = 0.9854616895387166337 C2(691,977) = 1.900617151356680031 C3(691,977) = 6.362076365185448719 C4(691,977) = 7816 Sum = 3909.042497440092032 Averaged sum = 0.3905527522669689312 logp*logq = 45.01173634591787529 -------------- ************************************* p = 691; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.679030003991218374 E19 -------------- Searches starting with [691,983]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(691,983) = 0.6022855027885100137 D2(691,983) = 0.06704514703973768938 C1(691,983) = 0.9109810780852613077 C2(691,983) = 1.950175227128105759 C3(691,983) = 5.531760259415876164 C4(691,983) = 7864 Sum = 3575.364995136769207 Averaged sum = 0.3572150060082694782 logp*logq = 45.05176589845089445 -------------- ************************************* p = 691; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.879256310921900102 E19 -------------- Searches starting with [691,991]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(691,991) = 0.6256790258563792867 D2(691,991) = 0.1210174883293031568 C1(691,991) = 1.024723284394468249 C2(691,991) = 1.423233977827766883 C3(691,991) = 6.848806722140899719 C4(691,991) = 7928 Sum = 3878.681886761005442 Averaged sum = 0.3875194211970232233 logp*logq = 45.10476022970773057 -------------- ************************************* p = 691; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.035415278023734212 E19 -------------- Searches starting with [691,997]-exponents: u = 1, v = 17 n_start has 54 digits starting right neighbors generation We generated 53 left neighbors We generated 9957 right neighbors We generated 10009 non-negative rho_i D1(691,997) = 0.9876285928238569756 D2(691,997) = 0.008928350061158189546 C1(691,997) = 1.379901099072503573 C2(691,997) = 1.918509063299942183 C3(691,997) = 13.34277469081826446 C4(691,997) = 7976 Sum = 4190.070541454421181 Averaged sum = 0.4186302868872435989 logp*logq = 45.14422598227797669 -------------- ************************************* p = 701; q = 709; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.773994773178873303 E18 -------------- Searches starting with [701,709]-exponents: u = 1, v = 577 n_start has 1648 digits --- performed 5000 steps in the continued fraction search [701,709]-exponents: u = 412, v = 158 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(701,709) = 0.6447063578201788160 D2(701,709) = 0.1929938524106799758 C1(701,709) = 0.8352773205272160030 C2(701,709) = 1.245604041866916747 C3(701,709) = 4.807582136458621332 C4(701,709) = 5672 Sum = 5433.347898641148598 Averaged sum = 0.5433891287769925590 logp*logq = 43.00971510695734755 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(701,709) = 0.6447063578201788160 D2(701,709) = 0.1929938524106799758 C1(701,709) = 0.8352773205272160030 C2(701,709) = 1.245604041866916747 C3(701,709) = 4.807582136458621332 C4(701,709) = 5672 Sum = 5433.347898641148598 Averaged sum = 0.5433891287769925590 logp*logq = 43.00971510695734755 -------------- ************************************* p = 701; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.232853608895274539 E18 -------------- Searches starting with [701,719]-exponents: u = 1, v = 258 n_start has 740 digits --- performed 5000 steps in the continued fraction search [701,719]-exponents: u = 30, v = 209 --- starting right neighbors generation We generated 6901 left neighbors We generated 3109 right neighbors We generated 10009 non-negative rho_i D1(701,719) = 0.6019078817510739759 D2(701,719) = 0.006249777447179828949 C1(701,719) = 0.8055306298542639641 C2(701,719) = 1.187255908335176374 C3(701,719) = 4.546124131002760445 C4(701,719) = 5752 Sum = 4939.379401091005125 Averaged sum = 0.4934937956929768333 logp*logq = 43.10148842628721559 -------------- ************************************* p = 701; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.626350663580266305 E18 -------------- Searches starting with [701,727]-exponents: u = 1, v = 179 n_start has 516 digits starting right neighbors generation We generated 3429 left neighbors We generated 6581 right neighbors We generated 10009 non-negative rho_i D1(701,727) = 0.8283142941028910336 D2(701,727) = 0.001159938501383452840 C1(701,727) = 1.127844108915619513 C2(701,727) = 1.245400406312125237 C3(701,727) = 8.332598350965938128 C4(701,727) = 5816 Sum = 4846.995877956757715 Averaged sum = 0.4842637504202975037 logp*logq = 43.17399271112942551 -------------- ************************************* p = 701; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.937674566699243210 E18 -------------- Searches starting with [701,733]-exponents: u = 1, v = 146 n_start has 422 digits starting right neighbors generation We generated 2247 left neighbors We generated 7763 right neighbors We generated 10009 non-negative rho_i D1(701,733) = 0.6802915401132331756 D2(701,733) = 0.009864372566190618005 C1(701,733) = 0.9362031415659544706 C2(701,733) = 1.291593513261500216 C3(701,733) = 5.811969349802461487 C4(701,733) = 5864 Sum = 4705.973588582476451 Averaged sum = 0.4701742020763789041 logp*logq = 43.22784924352863055 -------------- ************************************* p = 701; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.263474413851061338 E18 -------------- Searches starting with [701,739]-exponents: u = 1, v = 124 n_start has 359 digits starting right neighbors generation We generated 1784 left neighbors We generated 8226 right neighbors We generated 10009 non-negative rho_i D1(701,739) = 0.7492347346856690838 D2(701,739) = 0.0001009832070940388213 C1(701,739) = 1.040941056953796436 C2(701,739) = 1.316488728247978960 C3(701,739) = 7.076722085191462021 C4(701,739) = 5912 Sum = 4253.273580733276484 Averaged sum = 0.4249449076564368552 logp*logq = 43.28126672322627250 -------------- ************************************* p = 701; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.488986128282472110 E18 -------------- Searches starting with [701,743]-exponents: u = 1, v = 112 n_start has 325 digits starting right neighbors generation We generated 1403 left neighbors We generated 8607 right neighbors We generated 10009 non-negative rho_i D1(701,743) = 0.5700714046320839296 D2(701,743) = 0.005474225778008341386 C1(701,743) = 0.7963388471082797508 C2(701,743) = 1.341635383416380440 C3(701,743) = 4.468245730095905442 C4(701,743) = 5944 Sum = 4525.678476172082172 Averaged sum = 0.4521609028046840016 logp*logq = 43.31663797180148619 -------------- ************************************* p = 701; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.960707229006764502 E18 -------------- Searches starting with [701,751]-exponents: u = 1, v = 95 n_start has 277 digits starting right neighbors generation We generated 1011 left neighbors We generated 8999 right neighbors We generated 10009 non-negative rho_i D1(701,751) = 0.7646049012717446112 D2(701,751) = 0.02148856087418097793 C1(701,751) = 1.079511749214222209 C2(701,751) = 1.392855045566387713 C3(701,751) = 7.608894192144170294 C4(701,751) = 6008 Sum = 3928.170982299128211 Averaged sum = 0.3924638807372492967 logp*logq = 43.38681275643990340 -------------- ************************************* p = 701; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.333283214447661830 E18 -------------- Searches starting with [701,757]-exponents: u = 1, v = 85 n_start has 248 digits starting right neighbors generation We generated 824 left neighbors We generated 9186 right neighbors We generated 10009 non-negative rho_i D1(701,757) = 0.6176143492361016095 D2(701,757) = 0.01934808603581479725 C1(701,757) = 0.8782653705354574980 C2(701,757) = 1.416038700492401358 C3(701,757) = 5.212216917256530417 C4(701,757) = 6056 Sum = 3769.135087531577009 Averaged sum = 0.3765745916206990717 logp*logq = 43.43895500416617324 -------------- ************************************* p = 701; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.590942278589679918 E18 -------------- Searches starting with [701,761]-exponents: u = 1, v = 79 n_start has 231 digits starting right neighbors generation We generated 692 left neighbors We generated 9318 right neighbors We generated 10009 non-negative rho_i D1(701,761) = 0.6431121250270818309 D2(701,761) = 0.01789462658932904566 C1(701,761) = 0.9182212250177704668 C2(701,761) = 1.430460349623973299 C3(701,761) = 5.618789249975540209 C4(701,761) = 6088 Sum = 4536.314270895367134 Averaged sum = 0.4532235259162121225 logp*logq = 43.47348740497148247 -------------- ************************************* p = 701; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.129336540175337281 E18 -------------- Searches starting with [701,769]-exponents: u = 1, v = 70 n_start has 205 digits starting right neighbors generation We generated 547 left neighbors We generated 9463 right neighbors We generated 10009 non-negative rho_i D1(701,769) = 0.6266492192308094904 D2(701,769) = 0.02256367432318503120 C1(701,769) = 0.9020986372787236429 C2(701,769) = 1.463977244167550161 C3(701,769) = 5.451049683962087326 C4(701,769) = 6152 Sum = 4470.599394344353877 Averaged sum = 0.4466579472818816942 logp*logq = 43.54201098774806293 -------------- ************************************* p = 701; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.410443798766286643 E18 -------------- Searches starting with [701,773]-exponents: u = 1, v = 67 n_start has 197 digits starting right neighbors generation We generated 584 left neighbors We generated 9426 right neighbors We generated 10009 non-negative rho_i D1(701,773) = 1.032410636731159000 D2(701,773) = 0.002315249949710070081 C1(701,773) = 1.492364015430259343 C2(701,773) = 1.459940173328281307 C3(701,773) = 16.53397410351127439 C4(701,773) = 6184 Sum = 3479.707155402315029 Averaged sum = 0.3476578234990823287 logp*logq = 43.57600591684997237 -------------- ************************************* p = 701; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.460133702391133227 E18 -------------- Searches starting with [701,787]-exponents: u = 1, v = 56 n_start has 166 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(701,787) = 0.5342826638813950529 D2(701,787) = 0.01486162737314479231 C1(701,787) = 0.7459565368420106327 C2(701,787) = 1.515530683577852718 C3(701,787) = 4.064475877847240798 C4(701,787) = 6296 Sum = 4253.531027949957246 Averaged sum = 0.4249706292286899037 logp*logq = 43.69361819030188453 -------------- ************************************* p = 701; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.027610503938748422 E19 -------------- Searches starting with [701,797]-exponents: u = 1, v = 51 n_start has 151 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(701,797) = 0.8547763560470772608 D2(701,797) = 0.01593345464331254618 C1(701,797) = 1.261447713164342698 C2(701,797) = 1.545344863830702221 C3(701,797) = 10.71162696706246853 C4(701,797) = 6376 Sum = 3043.558823151987219 Averaged sum = 0.3040822083277037885 logp*logq = 43.77635297490482703 -------------- ************************************* p = 701; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.133328011419396616 E19 -------------- Searches starting with [701,809]-exponents: u = 1, v = 45 n_start has 134 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(701,809) = 0.5633138112664356683 D2(701,809) = 0.005590217124531389400 C1(701,809) = 0.8383537245625502386 C2(701,809) = 1.568396738213801789 C3(701,809) = 4.835465758827391630 C4(701,809) = 6472 Sum = 4077.054540137266170 Averaged sum = 0.4073388490495819932 logp*logq = 43.87427521402343393 -------------- ************************************* p = 701; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.151813304617438879 E19 -------------- Searches starting with [701,811]-exponents: u = 1, v = 44 n_start has 131 digits starting right neighbors generation We generated 219 left neighbors We generated 9791 right neighbors We generated 10009 non-negative rho_i D1(701,811) = 0.8763003358923150513 D2(701,811) = 0.04435694681801698123 C1(701,811) = 1.306560352553124365 C2(701,811) = 1.607500565353413049 C3(701,811) = 11.65965605410480000 C4(701,811) = 6488 Sum = 4973.956530432866704 Averaged sum = 0.4969483994837512943 logp*logq = 43.89045425406307968 -------------- ************************************* p = 701; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.248120517666794877 E19 -------------- Searches starting with [701,821]-exponents: u = 1, v = 41 n_start has 123 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(701,821) = 0.7236972267092814231 D2(701,821) = 0.05687615826805445165 C1(701,821) = 1.029919931191207112 C2(701,821) = 1.643150721358586794 C3(701,821) = 6.931614637588701975 C4(701,821) = 6568 Sum = 4265.148199516655738 Averaged sum = 0.4261313017800635166 logp*logq = 43.97075560081491778 -------------- ************************************* p = 701; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.268178581657081046 E19 -------------- Searches starting with [701,823]-exponents: u = 1, v = 40 n_start has 120 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(701,823) = 0.6482564640795205061 D2(701,823) = 0.02917895478091764666 C1(701,823) = 0.9742947850413134530 C2(701,823) = 1.623461051888530678 C3(701,823) = 6.243406622798199247 C4(701,823) = 6584 Sum = 4108.423627841954497 Averaged sum = 0.4104729371407687578 logp*logq = 43.98669845025425645 -------------- ************************************* p = 701; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.309115189064804615 E19 -------------- Searches starting with [701,827]-exponents: u = 1, v = 39 n_start has 117 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(701,827) = 0.6511467220740744460 D2(701,827) = 0.03495354259170042564 C1(701,827) = 0.9059451004663888903 C2(701,827) = 1.637868420100275292 C3(701,827) = 5.490607791802251981 C4(701,827) = 6616 Sum = 4165.955314553980895 Averaged sum = 0.4162209326160436502 logp*logq = 44.01846824770073646 -------------- ************************************* p = 701; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.329999813816380680 E19 -------------- Searches starting with [701,829]-exponents: u = 1, v = 39 n_start has 117 digits starting right neighbors generation We generated 230 left neighbors We generated 9780 right neighbors We generated 10009 non-negative rho_i D1(701,829) = 0.7972772050754838455 D2(701,829) = 0.003891652035218719795 C1(701,829) = 1.203573493471097253 C2(701,829) = 1.615412884811019249 C3(701,829) = 9.607413652562203747 C4(701,829) = 6632 Sum = 2607.783958791208703 Averaged sum = 0.2605439063633938159 logp*logq = 44.03429556913283690 -------------- ************************************* p = 701; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.438710152017151695 E19 -------------- Searches starting with [701,839]-exponents: u = 1, v = 36 n_start has 109 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(701,839) = 0.6961197027020306462 D2(701,839) = 0.02721743246273134321 C1(701,839) = 0.9992124035814699879 C2(701,839) = 1.657974749549827177 C3(701,839) = 6.542813674719134149 C4(701,839) = 6712 Sum = 4171.576910493381790 Averaged sum = 0.4167825867212890189 logp*logq = 44.11286375130507816 -------------- ************************************* p = 701; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.603491430279549517 E19 -------------- Searches starting with [701,853]-exponents: u = 1, v = 33 n_start has 100 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(701,853) = 0.5241642944823239057 D2(701,853) = 0.01077023687320168160 C1(701,853) = 0.7367677332068123530 C2(701,853) = 1.673157550882061327 C3(701,853) = 3.994870832876641355 C4(701,853) = 6824 Sum = 4064.566514337449617 Averaged sum = 0.4060911693813017900 logp*logq = 44.22130016263921869 -------------- ************************************* p = 701; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.653407747002540041 E19 -------------- Searches starting with [701,857]-exponents: u = 1, v = 32 n_start has 97 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(701,857) = 0.5197552993913574916 D2(701,857) = 0.06991980730173033781 C1(701,857) = 0.7314639392108588071 C2(701,857) = 1.732971065168393883 C3(701,857) = 3.955238570767382140 C4(701,857) = 6856 Sum = 4120.169961943840350 Averaged sum = 0.4116465143314856979 logp*logq = 44.25195522621041808 -------------- ************************************* p = 701; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.678855611038151559 E19 -------------- Searches starting with [701,859]-exponents: u = 1, v = 32 n_start has 97 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(701,859) = 0.6702352791021606744 D2(701,859) = 0.01358618223732029450 C1(701,859) = 0.9278733989997940163 C2(701,859) = 1.687653069320264592 C3(701,859) = 5.721670586640813057 C4(701,859) = 6872 Sum = 3844.798448858795788 Averaged sum = 0.3841341241741228682 logp*logq = 44.26722914428500367 -------------- ************************************* p = 701; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.730748226822970168 E19 -------------- Searches starting with [701,863]-exponents: u = 1, v = 31 n_start has 94 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(701,863) = 0.8216843365356612526 D2(701,863) = 0.07100392069893299112 C1(701,863) = 1.191714097836572331 C2(701,863) = 1.745732933627954001 C3(701,863) = 9.395597198482262993 C4(701,863) = 6904 Sum = 4427.386493644636252 Averaged sum = 0.4423405428758753374 logp*logq = 44.29767058294867354 -------------- ************************************* p = 701; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.923215927658637924 E19 -------------- Searches starting with [701,877]-exponents: u = 1, v = 29 n_start has 89 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(701,877) = 0.9209081542281269349 D2(701,877) = 0.08086961131430917366 C1(701,877) = 1.281884760485856991 C2(701,877) = 1.780896647983609172 C3(701,877) = 11.13115934256869896 C4(701,877) = 7016 Sum = 4221.902260191513822 Averaged sum = 0.4218105964823172966 logp*logq = 44.40311551406377820 -------------- ************************************* p = 701; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.981426043572305046 E19 -------------- Searches starting with [701,881]-exponents: u = 1, v = 28 n_start has 86 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(701,881) = 0.9574387199770256354 D2(701,881) = 0.03351937388251032568 C1(701,881) = 1.358415882047307983 C2(701,881) = 1.746610210692634012 C3(701,881) = 12.85348767224182663 C4(701,881) = 7048 Sum = 4454.211543632766399 Averaged sum = 0.4450206357910646817 logp*logq = 44.43293357638286938 -------------- ************************************* p = 701; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.011086474055883731 E19 -------------- Searches starting with [701,883]-exponents: u = 1, v = 28 n_start has 86 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(701,883) = 0.6254308345233285782 D2(701,883) = 0.05940844602505266361 C1(701,883) = 0.8610246022656640873 C2(701,883) = 1.772826937677787503 C3(701,883) = 5.045997000944085707 C4(701,883) = 7064 Sum = 4052.828635487127670 Averaged sum = 0.4049184369554528594 logp*logq = 44.44779187727794099 -------------- ************************************* p = 701; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.071537355964580331 E19 -------------- Searches starting with [701,887]-exponents: u = 1, v = 27 n_start has 83 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(701,887) = 0.6251377677149655783 D2(701,887) = 0.009490997356927096758 C1(701,887) = 0.9741311303728431401 C2(701,887) = 1.736657027930413956 C3(701,887) = 6.241486159910638918 C4(701,887) = 7096 Sum = 3796.482510206347894 Averaged sum = 0.3793068748332848331 logp*logq = 44.47740778255168726 -------------- ************************************* p = 701; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.397425250822244583 E19 -------------- Searches starting with [701,907]-exponents: u = 1, v = 25 n_start has 77 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(701,907) = 0.5733229910655772707 D2(701,907) = 0.02714110211031851529 C1(701,907) = 0.8447791009040929777 C2(701,907) = 1.786093838206340840 C3(701,907) = 4.894226205358021676 C4(701,907) = 7256 Sum = 3651.774128025996507 Averaged sum = 0.3648490486588067246 logp*logq = 44.62351211620850010 -------------- ************************************* p = 701; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.467558780545140910 E19 -------------- Searches starting with [701,911]-exponents: u = 1, v = 25 n_start has 77 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(701,911) = 1.248895911371166300 D2(701,911) = 0.07294007069733503065 C1(701,911) = 1.969482666342070510 C2(701,911) = 1.832538610237459046 C3(701,911) = 40.54156626783306965 C4(701,911) = 7288 Sum = 2011.143131712270156 Averaged sum = 0.2009334730454860781 logp*logq = 44.65234608083142324 -------------- ************************************* p = 701; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.613053250357337712 E19 -------------- Searches starting with [701,919]-exponents: u = 1, v = 24 n_start has 74 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(701,919) = 0.9559344846800611183 D2(701,919) = 0.04113114803669120601 C1(701,919) = 1.327503270327344252 C2(701,919) = 1.817632069574000314 C3(701,919) = 12.12784661587547319 C4(701,919) = 7352 Sum = 4144.301156075251877 Averaged sum = 0.4140574638900241659 logp*logq = 44.70963613222930450 -------------- ************************************* p = 701; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.805087253878257528 E19 -------------- Searches starting with [701,929]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(701,929) = 0.5957696262044079932 D2(701,929) = 0.02247641250862938321 C1(701,929) = 0.8405860549604925400 C2(701,929) = 1.817229801290467243 C3(701,929) = 4.855800144300548461 C4(701,929) = 7432 Sum = 4058.282621359438029 Averaged sum = 0.4054633451253310050 logp*logq = 44.78055141192969235 -------------- ************************************* p = 701; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.967201962111751221 E19 -------------- Searches starting with [701,937]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(701,937) = 0.5394939676056806125 D2(701,937) = 0.1088870947469075332 C1(701,937) = 0.7520769950441706613 C2(701,937) = 1.904913533564629592 C3(701,937) = 4.111509884765000042 C4(701,937) = 7496 Sum = 3898.976551576144747 Averaged sum = 0.3895470628010934905 logp*logq = 44.83673617534699743 -------------- ************************************* p = 701; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.051191461105762851 E19 -------------- Searches starting with [701,941]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(701,941) = 0.8169309386851173884 D2(701,941) = 0.01211006415311395355 C1(701,941) = 1.155745083321060760 C2(701,941) = 1.826587542794054115 C3(701,941) = 8.781304048031527556 C4(701,941) = 7528 Sum = 4391.419499040977033 Averaged sum = 0.4387470775343168181 logp*logq = 44.86464892421057835 -------------- ************************************* p = 701; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.180949042871409644 E19 -------------- Searches starting with [701,947]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(701,947) = 0.5638291747199424634 D2(701,947) = 0.06951212858372891164 C1(701,947) = 0.7876190093279095495 C2(701,947) = 1.884939187150331841 C3(701,947) = 4.395599421967093063 C4(701,947) = 7576 Sum = 4029.259397253310488 Averaged sum = 0.4025636324561205403 logp*logq = 44.90629636030878189 -------------- ************************************* p = 701; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.315352627644405308 E19 -------------- Searches starting with [701,953]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(701,953) = 0.9733889929694136934 D2(701,953) = 0.1378700417112695639 C1(701,953) = 1.408575588558306363 C2(701,953) = 1.954240642593994830 C3(701,953) = 14.12445660195378857 C4(701,953) = 7624 Sum = 4901.606448028630218 Averaged sum = 0.4897198968956569306 logp*logq = 44.94768075821417916 -------------- ************************************* p = 701; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.647795788487453480 E19 -------------- Searches starting with [701,967]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(701,967) = 0.5551823853969626764 D2(701,967) = 0.1214728941151844819 C1(701,967) = 0.8061341391200786160 C2(701,967) = 1.959167210431049895 C3(701,967) = 4.551284661067306211 C4(701,967) = 7736 Sum = 3935.936943308467907 Averaged sum = 0.3932397785301696380 logp*logq = 45.04323985849902386 -------------- ************************************* p = 701; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.747809988017943055 E19 -------------- Searches starting with [701,971]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(701,971) = 1.042719624284791742 D2(701,971) = 0.002236379153366908457 C1(701,971) = 1.416294097588543795 C2(701,971) = 1.861177668288392917 C3(701,971) = 14.33089115991338976 C4(701,971) = 7768 Sum = 3815.800073510213389 Averaged sum = 0.3812368941462896781 logp*logq = 45.07028843307768383 -------------- ************************************* p = 701; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.902183697244035218 E19 -------------- Searches starting with [701,977]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(701,977) = 0.6523568986375351684 D2(701,977) = 0.05142080903625559387 C1(701,977) = 0.9298803100092305969 C2(701,977) = 1.911294962682545356 C3(701,977) = 5.743297430985488728 C4(701,977) = 7816 Sum = 4173.694107551732751 Averaged sum = 0.4169941160507276202 logp*logq = 45.11065308569469358 -------------- ************************************* p = 701; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.061912165040454710 E19 -------------- Searches starting with [701,983]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(701,983) = 0.5205534918741760602 D2(701,983) = 0.1078092878742390543 C1(701,983) = 0.7321355718473651335 C2(701,983) = 1.968610557515754811 C3(701,983) = 3.960235478955949160 C4(701,983) = 7864 Sum = 4031.592548727445550 Averaged sum = 0.4027967378087167100 logp*logq = 45.15077060623678623 -------------- ************************************* p = 701; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.283475144157731584 E19 -------------- Searches starting with [701,991]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(701,991) = 0.7505866534482820375 D2(701,991) = 0.01112528241878539681 C1(701,991) = 1.221586257317203443 C2(701,991) = 1.895491910460468200 C3(701,991) = 9.938303295490794237 C4(701,991) = 7928 Sum = 3533.513745322103077 Averaged sum = 0.3530336442523831629 logp*logq = 45.20388139659740573 -------------- ************************************* p = 701; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.456292361829735899 E19 -------------- Searches starting with [701,997]-exponents: u = 1, v = 18 n_start has 57 digits starting right neighbors generation We generated 56 left neighbors We generated 9954 right neighbors We generated 10009 non-negative rho_i D1(701,997) = 0.8556677180119279583 D2(701,997) = 0.05804380471849788081 C1(701,997) = 1.206494042235304530 C2(701,997) = 1.943331268923472094 C3(701,997) = 9.660305212838834050 C4(701,997) = 7976 Sum = 4280.770328442309154 Averaged sum = 0.4276921099452801633 logp*logq = 45.24343387818310430 -------------- ************************************* p = 709; q = 719; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.638397825985193310 E18 -------------- Searches starting with [709,719]-exponents: u = 1, v = 468 n_start has 1340 digits --- performed 5000 steps in the continued fraction search [709,719]-exponents: u = 365, v = 94 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(709,719) = 0.5841507736985482019 D2(709,719) = 0.1367443368200994733 C1(709,719) = 0.7628529124754101968 C2(709,719) = 1.220464653905601700 C3(709,719) = 4.201188164972579103 C4(709,719) = 5752 Sum = 5313.111696724125524 Averaged sum = 0.5313643061030228547 logp*logq = 43.17613162563941599 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(709,719) = 0.5841507736985482019 D2(709,719) = 0.1367443368200994733 C1(709,719) = 0.7628529124754101968 C2(709,719) = 1.220464653905601700 C3(709,719) = 4.201188164972579103 C4(709,719) = 5752 Sum = 5313.111696724125524 Averaged sum = 0.5313643061030228547 logp*logq = 43.17613162563941599 -------------- ************************************* p = 709; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.063152016411600541 E18 -------------- Searches starting with [709,727]-exponents: u = 1, v = 261 n_start has 750 digits --- performed 5000 steps in the continued fraction search [709,727]-exponents: u = 212, v = 31 --- starting right neighbors generation We generated 6985 left neighbors We generated 3025 right neighbors We generated 10009 non-negative rho_i D1(709,727) = 0.7178543319145390003 D2(709,727) = 0.005769827637566868534 C1(709,727) = 0.9602559287393775826 C2(709,727) = 1.185946329371156286 C3(709,727) = 6.090904460760581001 C4(709,727) = 5816 Sum = 4964.696790596087769 Averaged sum = 0.4960232581272942121 logp*logq = 43.24876147347225491 -------------- ************************************* p = 709; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.399242351460424879 E18 -------------- Searches starting with [709,733]-exponents: u = 1, v = 197 n_start has 568 digits starting right neighbors generation We generated 4146 left neighbors We generated 5864 right neighbors We generated 10009 non-negative rho_i D1(709,733) = 0.7205216698225355539 D2(709,733) = 0.006199340233020953122 C1(709,733) = 0.9768852298760509205 C2(709,733) = 1.234692775805947692 C3(709,733) = 6.284497686806869922 C4(709,733) = 5864 Sum = 4712.862649963579314 Averaged sum = 0.4708624887564771019 logp*logq = 43.30271127466636867 -------------- ************************************* p = 709; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.750992890218272806 E18 -------------- Searches starting with [709,739]-exponents: u = 1, v = 158 n_start has 457 digits starting right neighbors generation We generated 2726 left neighbors We generated 7284 right neighbors We generated 10009 non-negative rho_i D1(709,739) = 0.5941838629139375476 D2(709,739) = 0.004153501584362551289 C1(709,739) = 0.8147456863445834145 C2(709,739) = 1.273165966308732340 C3(709,739) = 4.632087784473360650 C4(709,739) = 5912 Sum = 4501.091390563702669 Averaged sum = 0.4497044050917876580 logp*logq = 43.35622126280702604 -------------- ************************************* p = 709; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.994485783816085261 E18 -------------- Searches starting with [709,743]-exponents: u = 1, v = 140 n_start has 405 digits starting right neighbors generation We generated 2151 left neighbors We generated 7859 right neighbors We generated 10009 non-negative rho_i D1(709,743) = 0.7441603451788878387 D2(709,743) = 0.009427337087712845038 C1(709,743) = 1.027099460535516961 C2(709,743) = 1.301646704446792223 C3(709,743) = 6.907224661274667303 C4(709,743) = 5944 Sum = 4380.810688203852839 Averaged sum = 0.4376871503850387490 logp*logq = 43.39165376734473976 -------------- ************************************* p = 709; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.503866393567512788 E18 -------------- Searches starting with [709,751]-exponents: u = 1, v = 114 n_start has 331 digits starting right neighbors generation We generated 1429 left neighbors We generated 8581 right neighbors We generated 10009 non-negative rho_i D1(709,751) = 0.8694722819917198764 D2(709,751) = 0.01798455500192271164 C1(709,751) = 1.214257296759853334 C2(709,751) = 1.351440232544917133 C3(709,751) = 9.822935553162608726 C4(709,751) = 6008 Sum = 4157.189230550638969 Averaged sum = 0.4153451124538554270 logp*logq = 43.46195008074307952 -------------- ************************************* p = 709; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.906229195867313575 E18 -------------- Searches starting with [709,757]-exponents: u = 1, v = 100 n_start has 291 digits starting right neighbors generation We generated 1157 left neighbors We generated 8853 right neighbors We generated 10009 non-negative rho_i D1(709,757) = 0.6664798466436150050 D2(709,757) = 0.007919264412685105818 C1(709,757) = 0.9382039074325610041 C2(709,757) = 1.370518373015061201 C3(709,757) = 5.843348376502833575 C4(709,757) = 6056 Sum = 3984.667108491193343 Averaged sum = 0.3981084132771698814 logp*logq = 43.51418262846440313 -------------- ************************************* p = 709; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.184508487492450009 E18 -------------- Searches starting with [709,761]-exponents: u = 1, v = 92 n_start has 268 digits starting right neighbors generation We generated 978 left neighbors We generated 9032 right neighbors We generated 10009 non-negative rho_i D1(709,761) = 0.6197258393483949533 D2(709,761) = 0.001222948068503720014 C1(709,761) = 0.8763815621781420647 C2(709,761) = 1.381967053809046555 C3(709,761) = 5.201673547466917320 C4(709,761) = 6088 Sum = 4514.729486476761935 Averaged sum = 0.4510669883581538551 logp*logq = 43.54877483251483298 -------------- ************************************* p = 709; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.766042152367092293 E18 -------------- Searches starting with [709,769]-exponents: u = 1, v = 80 n_start has 234 digits starting right neighbors generation We generated 701 left neighbors We generated 9309 right neighbors We generated 10009 non-negative rho_i D1(709,769) = 0.6541799451668020438 D2(709,769) = 0.01984379232027581212 C1(709,769) = 0.9335012793476198833 C2(709,769) = 1.430590223173982667 C3(709,769) = 5.791872387895559167 C4(709,769) = 6152 Sum = 4558.575790085295428 Averaged sum = 0.4554476761000395072 logp*logq = 43.61741708449835433 -------------- ************************************* p = 709; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.069700223599840957 E18 -------------- Searches starting with [709,773]-exponents: u = 1, v = 75 n_start has 220 digits starting right neighbors generation We generated 656 left neighbors We generated 9354 right neighbors We generated 10009 non-negative rho_i D1(709,773) = 0.8737653623351967369 D2(709,773) = 0.001998577759476579782 C1(709,773) = 1.252248665729677446 C2(709,773) = 1.429784451771818248 C3(709,773) = 10.55082171005131358 C4(709,773) = 6184 Sum = 5122.870234208799136 Averaged sum = 0.5118263796791686618 logp*logq = 43.65147088605136850 -------------- ************************************* p = 709; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.020374864163576466 E19 -------------- Searches starting with [709,787]-exponents: u = 1, v = 62 n_start has 183 digits starting right neighbors generation We generated 426 left neighbors We generated 9584 right neighbors We generated 10009 non-negative rho_i D1(709,787) = 0.7364829651876079775 D2(709,787) = 0.02756905921468051905 C1(709,787) = 1.069685470993028332 C2(709,787) = 1.500140223799230604 C3(709,787) = 7.483471761249053966 C4(709,787) = 6296 Sum = 4716.106134355343918 Averaged sum = 0.4711865455445443019 logp*logq = 43.76928684055222055 -------------- ************************************* p = 709; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.108544771416781048 E19 -------------- Searches starting with [709,797]-exponents: u = 1, v = 56 n_start has 166 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(709,797) = 0.7468874152307164746 D2(709,797) = 0.03477180250786463937 C1(709,797) = 1.094480857967870572 C2(709,797) = 1.537119378474149800 C3(709,797) = 7.840881640512404785 C4(709,797) = 6376 Sum = 3168.221524769916780 Averaged sum = 0.3165372689349502228 logp*logq = 43.85216490533517448 -------------- ************************************* p = 709; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.222795901622460124 E19 -------------- Searches starting with [709,809]-exponents: u = 1, v = 49 n_start has 146 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(709,809) = 0.5822878357010596015 D2(709,809) = 0.02422221789054443466 C1(709,809) = 0.8609421247223652916 C2(709,809) = 1.561541934336918964 C3(709,809) = 5.052736114899786265 C4(709,809) = 6472 Sum = 4139.398055797952121 Averaged sum = 0.4135675947445251395 logp*logq = 43.95025672628221508 -------------- ************************************* p = 709; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.242775293102493925 E19 -------------- Searches starting with [709,811]-exponents: u = 1, v = 48 n_start has 143 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(709,811) = 0.6540589247201128715 D2(709,811) = 0.01562758814820600473 C1(709,811) = 0.9686437286358260293 C2(709,811) = 1.559357796614090703 C3(709,811) = 6.187795519858686951 C4(709,811) = 6488 Sum = 4300.598810868023004 Averaged sum = 0.4296731752290961138 logp*logq = 43.96646378519905278 -------------- ************************************* p = 709; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.346875453498322335 E19 -------------- Searches starting with [709,821]-exponents: u = 1, v = 44 n_start has 132 digits starting right neighbors generation We generated 219 left neighbors We generated 9791 right neighbors We generated 10009 non-negative rho_i D1(709,821) = 0.5780764970815760676 D2(709,821) = 0.05503036828669438146 C1(709,821) = 0.8621710363237476282 C2(709,821) = 1.619847005630427105 C3(709,821) = 5.064433040577977767 C4(709,821) = 6568 Sum = 4011.045954308375506 Averaged sum = 0.4007439258975297738 logp*logq = 44.04690419790087770 -------------- ************************************* p = 709; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.368558355174613390 E19 -------------- Searches starting with [709,823]-exponents: u = 1, v = 44 n_start has 132 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(709,823) = 0.9976194797869607680 D2(709,823) = 0.03508908051178176181 C1(709,823) = 1.490729849444943120 C2(709,823) = 1.607147953464500456 C3(709,823) = 16.52583198740013382 C4(709,823) = 6584 Sum = 2831.891373658891175 Averaged sum = 0.2829344963192018358 logp*logq = 44.06287465718229822 -------------- ************************************* p = 709; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.412812935430397409 E19 -------------- Searches starting with [709,827]-exponents: u = 1, v = 42 n_start has 126 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(709,827) = 0.6315076208247400718 D2(709,827) = 0.05157095865277217950 C1(709,827) = 0.8752374373522849951 C2(709,827) = 1.631444492211257348 C3(709,827) = 5.190487635835460190 C4(709,827) = 6616 Sum = 4169.571445242737776 Averaged sum = 0.4165822205258005571 logp*logq = 44.09469947359472955 -------------- ************************************* p = 709; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.435391218101379856 E19 -------------- Searches starting with [709,829]-exponents: u = 1, v = 41 n_start has 123 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(709,829) = 1.003952615033339123 D2(709,829) = 0.02665618998592086002 C1(709,829) = 1.506190001782178633 C2(709,829) = 1.614267005043274945 C3(709,829) = 17.01362028827647823 C4(709,829) = 6632 Sum = 5372.028180207911365 Averaged sum = 0.5367197702275863088 logp*logq = 44.11055420479739715 -------------- ************************************* p = 709; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.552927228699814789 E19 -------------- Searches starting with [709,839]-exponents: u = 1, v = 38 n_start has 114 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(709,839) = 1.115772919766414415 D2(709,839) = 0.008042157571576591498 C1(709,839) = 1.684892617719984000 C2(709,839) = 1.621232620852246231 C3(709,839) = 23.81360739355394908 C4(709,839) = 6712 Sum = 5710.229544081390930 Averaged sum = 0.5705094958618634160 logp*logq = 44.18925845142352965 -------------- ************************************* p = 709; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.731115305678854930 E19 -------------- Searches starting with [709,853]-exponents: u = 1, v = 35 n_start has 106 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(709,853) = 1.239971151313534484 D2(709,853) = 0.01761474714525773224 C1(709,853) = 1.783759683306210782 C2(709,853) = 1.660041850890338334 C3(709,853) = 28.68238777932816039 C4(709,853) = 6824 Sum = 5406.197001215547534 Averaged sum = 0.5401335798996450729 logp*logq = 44.29788265303971796 -------------- ************************************* p = 709; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.785099289747101774 E19 -------------- Searches starting with [709,857]-exponents: u = 1, v = 34 n_start has 103 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(709,857) = 0.5608843799915591894 D2(709,857) = 0.002382494392872195479 C1(709,857) = 0.7867321135065152325 C2(709,857) = 1.655229643138816847 C3(709,857) = 4.394254819629859230 C4(709,857) = 6856 Sum = 4127.310352143279325 Averaged sum = 0.4123599112941631856 logp*logq = 44.32859080507966507 -------------- ************************************* p = 709; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.812621985185801468 E19 -------------- Searches starting with [709,859]-exponents: u = 1, v = 34 n_start has 103 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(709,859) = 0.8750604360918429294 D2(709,859) = 0.03067221505592843849 C1(709,859) = 1.193501646765827530 C2(709,859) = 1.683848795283419372 C3(709,859) = 9.446710976160618512 C4(709,859) = 6872 Sum = 3741.633192815970218 Averaged sum = 0.3738268750940124106 logp*logq = 44.34389117454034793 -------------- ************************************* p = 709; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.868747769971903925 E19 -------------- Searches starting with [709,863]-exponents: u = 1, v = 33 n_start has 100 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(709,863) = 0.5158924464368860370 D2(709,863) = 0.009945044178750033898 C1(709,863) = 0.7451478892615895779 C2(709,863) = 1.673986387233910384 C3(709,863) = 4.063537894093402984 C4(709,863) = 6904 Sum = 4062.458381112003939 Averaged sum = 0.4058805456201422658 logp*logq = 44.37438533171694401 -------------- ************************************* p = 709; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.076940932382495736 E19 -------------- Searches starting with [709,877]-exponents: u = 1, v = 30 n_start has 92 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(709,877) = 0.6637501736376000724 D2(709,877) = 0.03330070259461833291 C1(709,877) = 1.024105915517104149 C2(709,877) = 1.721541633367415905 C3(709,877) = 6.868428468139615847 C4(709,877) = 7016 Sum = 3810.603025053563462 Averaged sum = 0.3807176566144033831 logp*logq = 44.48001287246575922 -------------- ************************************* p = 709; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.139914354234535530 E19 -------------- Searches starting with [709,881]-exponents: u = 1, v = 30 n_start has 92 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(709,881) = 0.5675835594213171737 D2(709,881) = 0.09123227760809586461 C1(709,881) = 0.8785998289838163193 C2(709,881) = 1.780124578619646586 C3(709,881) = 5.223429885150434186 C4(709,881) = 7048 Sum = 3838.647988093467364 Averaged sum = 0.3835196311413195488 logp*logq = 44.50988257373402003 -------------- ************************************* p = 709; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.172003121796988676 E19 -------------- Searches starting with [709,883]-exponents: u = 1, v = 29 n_start has 89 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(709,883) = 0.7318548199582618735 D2(709,883) = 0.02171551041070687288 C1(709,883) = 1.132858657692389022 C2(709,883) = 1.722723023309804210 C3(709,883) = 8.428022048949188023 C4(709,883) = 7064 Sum = 3986.761432134204163 Averaged sum = 0.3983176573218307686 logp*logq = 44.52476660624895535 -------------- ************************************* p = 709; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.237405718932694172 E19 -------------- Searches starting with [709,887]-exponents: u = 1, v = 29 n_start has 89 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(709,887) = 0.6143648026519009993 D2(709,887) = 0.07527028072535701899 C1(709,887) = 0.8706297994053706287 C2(709,887) = 1.776927723390216807 C3(709,887) = 5.145682526134559930 C4(709,887) = 7096 Sum = 3909.460347354477645 Averaged sum = 0.3905944996857306069 logp*logq = 44.55443380037610456 -------------- ************************************* p = 709; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.590042774361117832 E19 -------------- Searches starting with [709,907]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(709,907) = 0.7094063215762172174 D2(709,907) = 0.01609697800902108732 C1(709,907) = 1.011477285852512382 C2(709,907) = 1.760361038171905961 C3(709,907) = 6.707146323687732792 C4(709,907) = 7256 Sum = 4282.696402121553788 Averaged sum = 0.4278845441224451781 logp*logq = 44.70079115765928280 -------------- ************************************* p = 709; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.665944196742874531 E19 -------------- Searches starting with [709,911]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(709,911) = 0.5903597351102394244 D2(709,911) = 0.06209777655028649996 C1(709,911) = 0.9274199412352434485 C2(709,911) = 1.807004109341962629 C3(709,911) = 5.725976538874129557 C4(709,911) = 7288 Sum = 3743.663506580486497 Averaged sum = 0.3740297239065327702 logp*logq = 44.72967505697003336 -------------- ************************************* p = 709; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.823416161130020011 E19 -------------- Searches starting with [709,919]-exponents: u = 1, v = 25 n_start has 77 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(709,919) = 0.5870949288961613512 D2(709,919) = 0.04008018593457043656 C1(709,919) = 0.8399106244084231402 C2(709,919) = 1.800961810006567303 C3(709,919) = 4.856691718532687038 C4(709,919) = 7352 Sum = 3805.658638841969055 Averaged sum = 0.3802236625878678245 logp*logq = 44.78706432333434676 -------------- ************************************* p = 709; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.031282045314296077 E19 -------------- Searches starting with [709,929]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(709,929) = 0.5280711604106945776 D2(709,929) = 0.03107656243217448313 C1(709,929) = 0.7575027799246760847 C2(709,929) = 1.809174758706627124 C3(709,929) = 4.159108253384110445 C4(709,929) = 7432 Sum = 3711.619124903193525 Averaged sum = 0.3708281671398934484 logp*logq = 44.85810241418472183 -------------- ************************************* p = 709; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.206781260657615035 E19 -------------- Searches starting with [709,937]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(709,937) = 0.6528788112593137726 D2(709,937) = 0.1241058079310216658 C1(709,937) = 0.9685318486148215238 C2(709,937) = 1.903469408259309994 C3(709,937) = 6.186493057904880404 C4(709,937) = 7496 Sum = 3798.053555810378698 Averaged sum = 0.3794638381267238184 logp*logq = 44.91438447842966507 -------------- ************************************* p = 709; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.297711686913496448 E19 -------------- Searches starting with [709,941]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(709,941) = 0.5930336330126567761 D2(709,941) = 0.03103696452759107206 C1(709,941) = 0.8257041642210523569 C2(709,941) = 1.827695830494226937 C3(709,941) = 4.728589355464096556 C4(709,941) = 7528 Sum = 3791.291099170009499 Averaged sum = 0.3787882005365180836 logp*logq = 44.94234556661873020 -------------- ************************************* p = 709; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.438200970517813128 E19 -------------- Searches starting with [709,947]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(709,947) = 0.7587449467231073898 D2(709,947) = 0.09456519144432683769 C1(709,947) = 1.093662116803479150 C2(709,947) = 1.892167641066525340 C3(709,947) = 7.828811861721465638 C4(709,947) = 7576 Sum = 4066.689200703346784 Averaged sum = 0.4063032471479015670 logp*logq = 44.98406512778705754 -------------- ************************************* p = 709; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.583730970805597897 E19 -------------- Searches starting with [709,953]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(709,953) = 0.6931003456220272304 D2(709,953) = 0.01849668049444408640 C1(709,953) = 0.9674450877367956722 C2(709,953) = 1.834867281377169352 C3(709,953) = 6.173855683934544628 C4(709,953) = 7624 Sum = 3881.926415026138520 Averaged sum = 0.3878435822785631452 logp*logq = 45.02552119523278185 -------------- ************************************* p = 709; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.943738053080901306 E19 -------------- Searches starting with [709,967]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(709,967) = 0.6117085578387194630 D2(709,967) = 0.01073431253916312302 C1(709,967) = 0.9841064827365166103 C2(709,967) = 1.848428628855028536 C3(709,967) = 6.370470113226892728 C4(709,967) = 7736 Sum = 3841.313414033313356 Averaged sum = 0.3837859340626749281 logp*logq = 45.12124578485994189 -------------- ************************************* p = 709; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.052056116183718997 E19 -------------- Searches starting with [709,971]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(709,971) = 0.7303719502640314823 D2(709,971) = 0.04527632729139060626 C1(709,971) = 0.9964530462536106237 C2(709,971) = 1.883591386352231251 C3(709,971) = 6.520195057577481770 C4(709,971) = 7768 Sum = 3902.018609408625289 Averaged sum = 0.3898509950453217393 logp*logq = 45.14834120218622346 -------------- ************************************* p = 709; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.219256769059418688 E19 -------------- Searches starting with [709,977]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(709,977) = 0.7087213085294703465 D2(709,977) = 0.1037960763760919460 C1(709,977) = 1.063266266726764340 C2(709,977) = 1.943037439659097645 C3(709,977) = 7.393628301323137141 C4(709,977) = 7816 Sum = 3672.523907603732115 Averaged sum = 0.3669221608156391362 logp*logq = 45.18877575834768335 -------------- ************************************* p = 709; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.392269164749596607 E19 -------------- Searches starting with [709,983]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 81 left neighbors We generated 9929 right neighbors We generated 10009 non-negative rho_i D1(709,983) = 0.7173363602173157518 D2(709,983) = 0.004528926782744737442 C1(709,983) = 1.160695556778432429 C2(709,983) = 1.865330196424260494 C3(709,983) = 8.881224250415157175 C4(709,983) = 7864 Sum = 3371.636321412220865 Averaged sum = 0.3368604577292657473 logp*logq = 45.22896275445065971 -------------- ************************************* p = 709; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.632277997691500382 E19 -------------- Searches starting with [709,991]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(709,991) = 0.8864631395953180470 D2(709,991) = 0.07108087317069582753 C1(709,991) = 1.246344232414263250 C2(709,991) = 1.933109476350934451 C3(709,991) = 10.43425445399549825 C4(709,991) = 7928 Sum = 4256.179551740776204 Averaged sum = 0.4252352434549681491 logp*logq = 45.28216552212940409 -------------- ************************************* p = 709; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.819497810078598129 E19 -------------- Searches starting with [709,997]-exponents: u = 1, v = 19 n_start has 60 digits starting right neighbors generation We generated 59 left neighbors We generated 9951 right neighbors We generated 10009 non-negative rho_i D1(709,997) = 0.8021808640676160456 D2(709,997) = 0.1301698385226870653 C1(709,997) = 1.145652852282746370 C2(709,997) = 1.993112414993922861 C3(709,997) = 8.633373989609311825 C4(709,997) = 7976 Sum = 4474.025354320256133 Averaged sum = 0.4470002352203273186 logp*logq = 45.32178650074097509 -------------- ************************************* p = 719; q = 727; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.649310675929520096 E18 -------------- Searches starting with [719,727]-exponents: u = 1, v = 594 n_start has 1703 digits --- performed 5000 steps in the continued fraction search [719,727]-exponents: u = 276, v = 311 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(719,727) = 0.6358983277519772083 D2(719,727) = 0.1952749224775170753 C1(719,727) = 0.8233972029778568756 C2(719,727) = 1.246627930388622770 C3(719,727) = 4.716378670163543088 C4(719,727) = 5816 Sum = 5441.869504291579371 Averaged sum = 0.5442413745666145985 logp*logq = 43.34104486543278933 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(719,727) = 0.6358983277519772083 D2(719,727) = 0.1952749224775170753 C1(719,727) = 0.8233972029778568756 C2(719,727) = 1.246627930388622770 C3(719,727) = 4.716378670163543088 C4(719,727) = 5816 Sum = 5441.869504291579371 Averaged sum = 0.5442413745666145985 logp*logq = 43.34104486543278933 -------------- ************************************* p = 719; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.018700660454322057 E18 -------------- Searches starting with [719,733]-exponents: u = 1, v = 341 n_start has 980 digits --- performed 5000 steps in the continued fraction search [719,733]-exponents: u = 317, v = 11 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(719,733) = 0.8116780219067305512 D2(719,733) = 0.03723835648254087625 C1(719,733) = 1.073720105142347527 C2(719,733) = 1.174459369806143912 C3(719,733) = 7.557775840233265273 C4(719,733) = 5864 Sum = 5121.096788566756963 Averaged sum = 0.5121608949461703134 logp*logq = 43.39510978369569691 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(719,733) = 0.8116780219067305512 D2(719,733) = 0.03723835648254087625 C1(719,733) = 1.073720105142347527 C2(719,733) = 1.174459369806143912 C3(719,733) = 7.557775840233265273 C4(719,733) = 5864 Sum = 5121.096788566756963 Averaged sum = 0.5121608949461703134 logp*logq = 43.39510978369569691 -------------- ************************************* p = 719; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.405346775589054168 E18 -------------- Searches starting with [719,739]-exponents: u = 1, v = 239 n_start has 689 digits --- performed 5000 steps in the continued fraction search [719,739]-exponents: u = 191, v = 28 --- starting right neighbors generation We generated 5940 left neighbors We generated 4070 right neighbors We generated 10009 non-negative rho_i D1(719,739) = 0.6745972830233026305 D2(719,739) = 0.003925990835394270240 C1(719,739) = 0.9062823283206619581 C2(719,739) = 1.200416645023836000 C3(719,739) = 5.513351998649280592 C4(719,739) = 5912 Sum = 4905.658026646064371 Averaged sum = 0.4901246904432075503 logp*logq = 43.44873395044034544 -------------- ************************************* p = 719; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.673020817644248430 E18 -------------- Searches starting with [719,743]-exponents: u = 1, v = 200 n_start has 578 digits starting right neighbors generation We generated 4212 left neighbors We generated 5798 right neighbors We generated 10009 non-negative rho_i D1(719,743) = 0.6277064100580784519 D2(719,743) = 0.007304492985618319847 C1(719,743) = 0.8506652060831534079 C2(719,743) = 1.234439798904433899 C3(719,743) = 4.964965135324631122 C4(719,743) = 5944 Sum = 4719.382495468696931 Averaged sum = 0.4715138870485260197 logp*logq = 43.48424206018831248 -------------- ************************************* p = 719; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.233051277967087134 E18 -------------- Searches starting with [719,751]-exponents: u = 1, v = 151 n_start has 438 digits starting right neighbors generation We generated 2464 left neighbors We generated 7546 right neighbors We generated 10009 non-negative rho_i D1(719,751) = 0.8574966377751720305 D2(719,751) = 0.01118127237610092081 C1(719,751) = 1.179016140911331931 C2(719,751) = 1.290160409396831540 C3(719,751) = 9.215843355215864561 C4(719,751) = 6008 Sum = 4459.928373684027554 Averaged sum = 0.4455918047441330356 logp*logq = 43.55468837053504343 -------------- ************************************* p = 719; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.675480359815100718 E18 -------------- Searches starting with [719,757]-exponents: u = 1, v = 127 n_start has 369 digits starting right neighbors generation We generated 1714 left neighbors We generated 8296 right neighbors We generated 10009 non-negative rho_i D1(719,757) = 0.6279548927629072066 D2(719,757) = 0.01167933311250121008 C1(719,757) = 0.8713562025160044467 C2(719,757) = 1.323949711531951965 C3(719,757) = 5.162299426194628088 C4(719,757) = 6056 Sum = 4612.802246135434030 Averaged sum = 0.4608654457124022410 logp*logq = 43.60703237108207214 -------------- ************************************* p = 719; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.981498268419420835 E18 -------------- Searches starting with [719,761]-exponents: u = 1, v = 115 n_start has 335 digits starting right neighbors generation We generated 1442 left neighbors We generated 8568 right neighbors We generated 10009 non-negative rho_i D1(719,761) = 0.7318667240060083704 D2(719,761) = 0.006048695306408213970 C1(719,761) = 1.021361489355513020 C2(719,761) = 1.339149876241980462 C3(719,761) = 6.847944367945853942 C4(719,761) = 6088 Sum = 4714.511016692326398 Averaged sum = 0.4710271772097438703 logp*logq = 43.64169838732541583 -------------- ************************************* p = 719; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.621069498317193456 E18 -------------- Searches starting with [719,769]-exponents: u = 1, v = 97 n_start has 283 digits starting right neighbors generation We generated 1033 left neighbors We generated 8977 right neighbors We generated 10009 non-negative rho_i D1(719,769) = 0.7003971382167760882 D2(719,769) = 0.01004633797620170224 C1(719,769) = 0.9875158436580044760 C2(719,769) = 1.379413443331922993 C3(719,769) = 6.424977602924584695 C4(719,769) = 6152 Sum = 4659.070431850004915 Averaged sum = 0.4654881038914981432 logp*logq = 43.71048710685226173 -------------- ************************************* p = 719; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.955069290586199593 E18 -------------- Searches starting with [719,773]-exponents: u = 1, v = 90 n_start has 263 digits starting right neighbors generation We generated 874 left neighbors We generated 9136 right neighbors We generated 10009 non-negative rho_i D1(719,773) = 0.6876074401833867826 D2(719,773) = 0.01747269113529345924 C1(719,773) = 0.9740544429068214424 C2(719,773) = 1.402839590668921926 C3(719,773) = 6.264105332438020041 C4(719,773) = 6184 Sum = 4633.128790638816729 Averaged sum = 0.4628962724187048385 logp*logq = 43.74461357176509004 -------------- ************************************* p = 719; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.120263754690664470 E19 -------------- Searches starting with [719,787]-exponents: u = 1, v = 72 n_start has 212 digits starting right neighbors generation We generated 563 left neighbors We generated 9447 right neighbors We generated 10009 non-negative rho_i D1(719,787) = 0.6396438490965228414 D2(719,787) = 0.02725011641184161520 C1(719,787) = 0.9195892677581982035 C2(719,787) = 1.464354921251191322 C3(719,787) = 5.653298594955955200 C4(719,787) = 6296 Sum = 4504.300123072827409 Averaged sum = 0.4500249898164479377 logp*logq = 43.86268091972873699 -------------- ************************************* p = 719; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.217280243191100479 E19 -------------- Searches starting with [719,797]-exponents: u = 1, v = 63 n_start has 186 digits starting right neighbors generation We generated 433 left neighbors We generated 9577 right neighbors We generated 10009 non-negative rho_i D1(719,797) = 0.7069347937269576872 D2(719,797) = 0.03128985736093470428 C1(719,797) = 1.025942068694203362 C2(719,797) = 1.501214934791058311 C3(719,797) = 6.907287381787033644 C4(719,797) = 6376 Sum = 4633.287257809491240 Averaged sum = 0.4629121048865512279 logp*logq = 43.94573582816401116 -------------- ************************************* p = 719; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.343019166306678006 E19 -------------- Searches starting with [719,809]-exponents: u = 1, v = 55 n_start has 163 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(719,809) = 0.6094251393532774458 D2(719,809) = 0.004210432107309879357 C1(719,809) = 0.8933641627864462204 C2(719,809) = 1.513668669944591886 C3(719,809) = 5.380808884017699539 C4(719,809) = 6472 Sum = 4283.384100292977273 Averaged sum = 0.4279532521024055623 logp*logq = 44.04403695558948423 -------------- ************************************* p = 719; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.365010102810975673 E19 -------------- Searches starting with [719,811]-exponents: u = 1, v = 54 n_start has 160 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(719,811) = 0.5228874540061609601 D2(719,811) = 0.005292490044060678263 C1(719,811) = 0.7675786585441357152 C2(719,811) = 1.520344377517601747 C3(719,811) = 4.245651753040237803 C4(719,811) = 6488 Sum = 4233.551226653959046 Averaged sum = 0.4229744456642980364 logp*logq = 44.06027859682312347 -------------- ************************************* p = 719; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.479603112931021217 E19 -------------- Searches starting with [719,821]-exponents: u = 1, v = 49 n_start has 146 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(719,821) = 0.5841264729213941751 D2(719,821) = 0.03117918885886473465 C1(719,821) = 0.8225455244686490745 C2(719,821) = 1.570486056528046901 C3(719,821) = 4.708818179234772502 C4(719,821) = 6568 Sum = 4222.584607936945278 Averaged sum = 0.4218787699007838223 logp*logq = 44.14089065176120949 -------------- ************************************* p = 719; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.503473986930059743 E19 -------------- Searches starting with [719,823]-exponents: u = 1, v = 48 n_start has 143 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(719,823) = 0.6717751717907158817 D2(719,823) = 0.02156698275547786886 C1(719,823) = 0.9246619580901372100 C2(719,823) = 1.567284930894203525 C3(719,823) = 5.707577470309449935 C4(719,823) = 6584 Sum = 4052.234640782681429 Averaged sum = 0.4048590908964613277 logp*logq = 44.15689518850758959 -------------- ************************************* p = 719; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.552196687280585559 E19 -------------- Searches starting with [719,827]-exponents: u = 1, v = 47 n_start has 140 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(719,827) = 1.312408982667879314 D2(719,827) = 0.05049298463610763704 C1(719,827) = 1.951021792157090907 C2(719,827) = 1.603141406802631605 C3(719,827) = 39.45491462015887116 C4(719,827) = 6616 Sum = 2983.953935886139388 Averaged sum = 0.2981270792173183523 logp*logq = 44.18878791211336013 -------------- ************************************* p = 719; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.577055825171370241 E19 -------------- Searches starting with [719,829]-exponents: u = 1, v = 46 n_start has 138 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(719,829) = 0.6127775858565325047 D2(719,829) = 0.03518649286207710106 C1(719,829) = 0.9125903864272560737 C2(719,829) = 1.594638619364336689 C3(719,829) = 5.579255454895285155 C4(719,829) = 6632 Sum = 3339.258730109537936 Averaged sum = 0.3336256099619880044 logp*logq = 44.20467647384259441 -------------- ************************************* p = 719; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.706478501401066154 E19 -------------- Searches starting with [719,839]-exponents: u = 1, v = 42 n_start has 126 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(719,839) = 0.5555521446765449814 D2(719,839) = 0.05222234838057856262 C1(719,839) = 0.7702099068612392938 C2(719,839) = 1.634074473514107483 C3(719,839) = 4.266747597171538540 C4(719,839) = 6712 Sum = 4164.750694786059068 Averaged sum = 0.4161005789575441171 logp*logq = 44.28354865810654374 -------------- ************************************* p = 719; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.902726529617447498 E19 -------------- Searches starting with [719,853]-exponents: u = 1, v = 38 n_start has 115 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(719,853) = 0.9069299629403274065 D2(719,853) = 0.03729602115662472787 C1(719,853) = 1.297915918074215806 C2(719,853) = 1.652790035128336694 C3(719,853) = 11.52935932554958603 C4(719,853) = 6824 Sum = 4632.525749679147794 Averaged sum = 0.4628360225476219197 logp*logq = 44.39240463999649307 -------------- ************************************* p = 719; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.962190693068809526 E19 -------------- Searches starting with [719,857]-exponents: u = 1, v = 37 n_start has 112 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(719,857) = 0.7024011239993879076 D2(719,857) = 0.03267927748483319825 C1(719,857) = 1.007000354770715304 C2(719,857) = 1.657441915235500436 C3(719,857) = 6.665175646618012717 C4(719,857) = 6856 Sum = 4189.091134485723653 Averaged sum = 0.4185324342577403989 logp*logq = 44.42317831651239135 -------------- ************************************* p = 719; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.992508836844576456 E19 -------------- Searches starting with [719,859]-exponents: u = 1, v = 36 n_start has 109 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(719,859) = 0.9696817668700094830 D2(719,859) = 0.06633066328512452749 C1(719,859) = 1.471827652005454773 C2(719,859) = 1.691418917971961054 C3(719,859) = 15.99851622426583645 C4(719,859) = 6872 Sum = 5107.968647390634719 Averaged sum = 0.5103375609342226715 logp*logq = 44.43851133361300598 -------------- ************************************* p = 719; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.054338281095292556 E19 -------------- Searches starting with [719,863]-exponents: u = 1, v = 36 n_start has 109 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(719,863) = 0.9323413295091985159 D2(719,863) = 0.05580532765152838551 C1(719,863) = 1.418719667357739816 C2(719,863) = 1.690517519092384004 C3(719,863) = 14.47547673061342503 C4(719,863) = 6904 Sum = 2496.651234386379799 Averaged sum = 0.2494406268744509740 logp*logq = 44.46907055864734777 -------------- ************************************* p = 719; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.283722343622692286 E19 -------------- Searches starting with [719,877]-exponents: u = 1, v = 33 n_start has 100 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(719,877) = 0.6987990138106139384 D2(719,877) = 0.02922783611571834468 C1(719,877) = 1.072093831736286830 C2(719,877) = 1.695552669145789519 C3(719,877) = 7.534658573207091431 C4(719,877) = 7016 Sum = 2709.526133704435750 Averaged sum = 0.2707089752926801628 logp*logq = 44.57492348545145451 -------------- ************************************* p = 719; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.353115406875386144 E19 -------------- Searches starting with [719,881]-exponents: u = 1, v = 32 n_start has 98 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(719,881) = 0.5759116369556468408 D2(719,881) = 0.003033148165401083355 C1(719,881) = 0.8114857219588838371 C2(719,881) = 1.680703967102435408 C3(719,881) = 4.611732049803982065 C4(719,881) = 7048 Sum = 4071.975255529964815 Averaged sum = 0.4068313773134144085 logp*logq = 44.60485692212521528 -------------- ************************************* p = 719; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.388477054204904102 E19 -------------- Searches starting with [719,883]-exponents: u = 1, v = 32 n_start has 98 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(719,883) = 1.078309364685042719 D2(719,883) = 0.02903342129408504101 C1(719,883) = 1.659240428253487805 C2(719,883) = 1.707027363015193566 C3(719,883) = 22.77189820785775339 C4(719,883) = 7064 Sum = 2342.707036423840884 Averaged sum = 0.2340600495977461169 logp*logq = 44.61977271390815581 -------------- ************************************* p = 719; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.460553794804958446 E19 -------------- Searches starting with [719,887]-exponents: u = 1, v = 31 n_start has 95 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(719,887) = 0.8238639409312695949 D2(719,887) = 0.08758589255223869767 C1(719,887) = 1.163102961782370188 C2(719,887) = 1.766223873890324866 C3(719,887) = 8.943690372395021585 C4(719,887) = 7096 Sum = 4224.888541489179289 Averaged sum = 0.4221089560884383344 logp*logq = 44.64950321133488469 -------------- ************************************* p = 719; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.849250839239623114 E19 -------------- Searches starting with [719,907]-exponents: u = 1, v = 28 n_start has 86 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(719,907) = 0.7183724375571995519 D2(719,907) = 0.06520553492606034692 C1(719,907) = 1.020606815714031795 C2(719,907) = 1.782498599241251534 C3(719,907) = 6.838216342102607859 C4(719,907) = 7256 Sum = 4042.891800734425790 Averaged sum = 0.4039256469911505435 logp*logq = 44.79617286318808792 -------------- ************************************* p = 719; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.932929132350792825 E19 -------------- Searches starting with [719,911]-exponents: u = 1, v = 27 n_start has 83 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(719,911) = 0.6798602835120556633 D2(719,911) = 0.01279278331100804459 C1(719,911) = 0.9375479095261731357 C2(719,911) = 1.743835460894106714 C3(719,911) = 5.847814864861183271 C4(719,911) = 7288 Sum = 4000.429671824708520 Averaged sum = 0.3996832522554409551 logp*logq = 44.82511839441870462 -------------- ************************************* p = 719; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.106551753196656220 E19 -------------- Searches starting with [719,919]-exponents: u = 1, v = 26 n_start has 80 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(719,919) = 0.8852753436698375125 D2(719,919) = 0.002155687420441409894 C1(719,919) = 1.223224764749368727 C2(719,919) = 1.748338088966496843 C3(719,919) = 10.01616531208487903 C4(719,919) = 7352 Sum = 4036.554528168918980 Averaged sum = 0.4032924895762732521 logp*logq = 44.88263011691775552 -------------- ************************************* p = 719; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.335768276557619659 E19 -------------- Searches starting with [719,929]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(719,929) = 0.9537603043245325871 D2(719,929) = 0.003565546526190692722 C1(719,929) = 1.363755412611833019 C2(719,929) = 1.766035300935471370 C3(719,929) = 13.05171130241942955 C4(719,929) = 7432 Sum = 4430.338569619662675 Averaged sum = 0.4426354850254433684 logp*logq = 44.95381978750726588 -------------- ************************************* p = 719; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.529319861104281696 E19 -------------- Searches starting with [719,937]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(719,937) = 0.6842546388168831193 D2(719,937) = 0.09216641580139315325 C1(719,937) = 0.9398228750319696127 C2(719,937) = 1.855894328648198727 C3(719,937) = 5.872928714397310820 C4(719,937) = 7496 Sum = 3882.362429167540238 Averaged sum = 0.3878871444867159794 logp*logq = 45.01022194535993589 -------------- ************************************* p = 719; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.629612631528709594 E19 -------------- Searches starting with [719,941]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(719,941) = 0.6045901923016317764 D2(719,941) = 0.01424688286885818881 C1(719,941) = 0.8942450494959649791 C2(719,941) = 1.794239111538015483 C3(719,941) = 5.389744859361809200 C4(719,941) = 7528 Sum = 3659.117187960925129 Averaged sum = 0.3655826943711584703 logp*logq = 45.03824269639189138 -------------- ************************************* p = 719; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.784578466060855004 E19 -------------- Searches starting with [719,947]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(719,947) = 0.6674496042763238879 D2(719,947) = 0.07716718414241804039 C1(719,947) = 1.058045993453290445 C2(719,947) = 1.858097328104376423 C3(719,947) = 7.337890988760090409 C4(719,947) = 7576 Sum = 3702.494189728954123 Averaged sum = 0.3699164941281800503 logp*logq = 45.08005127797339471 -------------- ************************************* p = 719; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.945118676891108513 E19 -------------- Searches starting with [719,953]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(719,953) = 0.7319994138722641128 D2(719,953) = 0.01313554674009864644 C1(719,953) = 1.053382623838559807 C2(719,953) = 1.811675579835714967 C3(719,953) = 7.273714058136173735 C4(719,953) = 7624 Sum = 4322.339827450204193 Averaged sum = 0.4318453219552606847 logp*logq = 45.12159580359435678 -------------- ************************************* p = 719; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.342316153412684994 E19 -------------- Searches starting with [719,967]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(719,967) = 0.8272846915638800392 D2(719,967) = 0.01744718607165187564 C1(719,967) = 1.155113576979410166 C2(719,967) = 1.835996330199331059 C3(719,967) = 8.810098460904382950 C4(719,967) = 7736 Sum = 4019.886884087731547 Averaged sum = 0.4016272239072566238 logp*logq = 45.21752464854638300 -------------- ************************************* p = 719; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.461839454176828675 E19 -------------- Searches starting with [719,971]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(719,971) = 0.6802395131306751724 D2(719,971) = 0.05421029155677359768 C1(719,971) = 1.088906747435074465 C2(719,971) = 1.873376046377474713 C3(719,971) = 7.777105076695786931 C4(719,971) = 7768 Sum = 3687.572585108494506 Averaged sum = 0.3684256754029867625 logp*logq = 45.24467788156338647 -------------- ************************************* p = 719; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.646349926590424583 E19 -------------- Searches starting with [719,977]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(719,977) = 0.6186185985458633764 D2(719,977) = 0.1173510298984688181 C1(719,977) = 0.9247392067691135787 C2(719,977) = 1.937436922268773129 C3(719,977) = 5.708408063644956102 C4(719,977) = 7816 Sum = 3535.367609791306734 Averaged sum = 0.3532188640015292970 logp*logq = 45.28519871621856200 -------------- ************************************* p = 719; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.837290237648765176 E19 -------------- Searches starting with [719,983]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 85 left neighbors We generated 9925 right neighbors We generated 10009 non-negative rho_i D1(719,983) = 0.9215415508263546063 D2(719,983) = 0.02430863232161974766 C1(719,983) = 1.483150193207634209 C2(719,983) = 1.864470590915635726 C3(719,983) = 16.34340353337372640 C4(719,983) = 7864 Sum = 1641.894488245445366 Averaged sum = 0.1640418111944695140 logp*logq = 45.32547146257626791 -------------- ************************************* p = 719; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.102195750716110235 E19 -------------- Searches starting with [719,991]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(719,991) = 1.276398459330256357 D2(719,991) = 0.09845871557678239498 C1(719,991) = 1.915653411426942476 C2(719,991) = 1.939839374252019818 C3(719,991) = 36.91193192452121497 C4(719,991) = 7928 Sum = 5143.750384462265524 Averaged sum = 0.5139125171807638649 logp*logq = 45.37878775331777315 -------------- ************************************* p = 719; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.308856732931114856 E19 -------------- Searches starting with [719,997]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(719,997) = 0.7219302815759991377 D2(719,997) = 0.1334634292934318124 C1(719,997) = 0.9870246096866493319 C2(719,997) = 1.395313916973902965 C3(719,997) = 6.419035049998405937 C4(719,997) = 7976 Sum = 3728.525602178621772 Averaged sum = 0.3725172946526747699 logp*logq = 45.41849327442662039 -------------- ************************************* p = 727; q = 733; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.550217096981309432 E18 -------------- Searches starting with [727,733]-exponents: u = 1, v = 801 n_start has 2298 digits --- performed 5000 steps in the continued fraction search [727,733]-exponents: u = 209, v = 587 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(727,733) = 0.6103422012960060619 D2(727,733) = 0.2684851189429493617 C1(727,733) = 0.7824245747797166912 C2(727,733) = 1.282262634794298996 C3(727,733) = 4.371804304540850967 C4(727,733) = 5864 Sum = 5597.521308593323670 Averaged sum = 0.5598081116704994170 logp*logq = 43.46810799130741186 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(727,733) = 0.6103422012960060619 D2(727,733) = 0.2684851189429493617 C1(727,733) = 0.7824245747797166912 C2(727,733) = 1.282262634794298996 C3(727,733) = 4.371804304540850967 C4(727,733) = 5864 Sum = 5597.521308593323670 Averaged sum = 0.5598081116704994170 logp*logq = 43.46810799130741186 -------------- ************************************* p = 727; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.966862005120031704 E18 -------------- Searches starting with [727,739]-exponents: u = 1, v = 402 n_start has 1157 digits --- performed 5000 steps in the continued fraction search [727,739]-exponents: u = 242, v = 149 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(727,739) = 0.6183133400161127759 D2(727,739) = 0.09051195312102592740 C1(727,739) = 0.8126415514901578777 C2(727,739) = 1.200699730496194107 C3(727,739) = 4.628100880930850866 C4(727,739) = 5912 Sum = 5216.946931011476414 Averaged sum = 0.5217468677879264340 logp*logq = 43.52182236333271397 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(727,739) = 0.6183133400161127759 D2(727,739) = 0.09051195312102592740 C1(727,739) = 0.8126415514901578777 C2(727,739) = 1.200699730496194107 C3(727,739) = 4.628100880930850866 C4(727,739) = 5912 Sum = 5216.946931011476414 Averaged sum = 0.5217468677879264340 logp*logq = 43.52182236333271397 -------------- ************************************* p = 727; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.255325688479943826 E18 -------------- Searches starting with [727,743]-exponents: u = 1, v = 302 n_start has 870 digits --- performed 5000 steps in the continued fraction search [727,743]-exponents: u = 2, v = 284 --- starting right neighbors generation We generated 9503 left neighbors We generated 507 right neighbors We generated 10009 non-negative rho_i D1(727,743) = 0.6475304590356195936 D2(727,743) = 0.001009385464618308507 C1(727,743) = 0.8610763427766140056 C2(727,743) = 1.161116259395219267 C3(727,743) = 5.070630146792867139 C4(727,743) = 5944 Sum = 5048.753605173011440 Averaged sum = 0.5044213812741544050 logp*logq = 43.55739020396695372 -------------- ************************************* p = 727; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.858906556434808722 E18 -------------- Searches starting with [727,751]-exponents: u = 1, v = 202 n_start has 584 digits starting right neighbors generation We generated 4256 left neighbors We generated 5754 right neighbors We generated 10009 non-negative rho_i D1(727,751) = 0.7546807539857171309 D2(727,751) = 0.004384167165425365875 C1(727,751) = 1.022231669640426498 C2(727,751) = 1.230837738488351435 C3(727,751) = 6.870973579107581563 C4(727,751) = 6008 Sum = 4837.524613689725524 Averaged sum = 0.4833174756408957462 logp*logq = 43.62795501739879732 -------------- ************************************* p = 727; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.335789950622381360 E18 -------------- Searches starting with [727,757]-exponents: u = 1, v = 162 n_start has 470 digits starting right neighbors generation We generated 2798 left neighbors We generated 7212 right neighbors We generated 10009 non-negative rho_i D1(727,757) = 0.8715105388302884014 D2(727,757) = 0.002333680746719660810 C1(727,757) = 1.193702826778113758 C2(727,757) = 1.269047664787311012 C3(727,757) = 9.493391168596188547 C4(727,757) = 6056 Sum = 4859.027351992721961 Averaged sum = 0.4854658159649037827 logp*logq = 43.68038706976176118 -------------- ************************************* p = 727; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.665663175020612460 E18 -------------- Searches starting with [727,761]-exponents: u = 1, v = 144 n_start has 418 digits starting right neighbors generation We generated 2345 left neighbors We generated 7665 right neighbors We generated 10009 non-negative rho_i D1(727,761) = 0.7197594734653149724 D2(727,761) = 0.0001209543039910349921 C1(727,761) = 0.9924342301449766845 C2(727,761) = 1.290690479827874506 C3(727,761) = 6.495606357824622787 C4(727,761) = 6088 Sum = 4403.190818372614571 Averaged sum = 0.4399231510013602329 logp*logq = 43.71511140034198329 -------------- ************************************* p = 727; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.035515186603440041 E19 -------------- Searches starting with [727,769]-exponents: u = 1, v = 117 n_start has 341 digits starting right neighbors generation We generated 1574 left neighbors We generated 8436 right neighbors We generated 10009 non-negative rho_i D1(727,769) = 0.6049255162949300546 D2(727,769) = 0.0004561735236540373027 C1(727,769) = 0.8439952322607171631 C2(727,769) = 1.332885524349252706 C3(727,769) = 4.909934181995920799 C4(727,769) = 6152 Sum = 4166.262296828177405 Averaged sum = 0.4162516032399018288 logp*logq = 43.78401583459462190 -------------- ************************************* p = 727; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.071525077042676244 E19 -------------- Searches starting with [727,773]-exponents: u = 1, v = 107 n_start has 312 digits starting right neighbors generation We generated 1241 left neighbors We generated 8769 right neighbors We generated 10009 non-negative rho_i D1(727,773) = 0.5647853402464907244 D2(727,773) = 0.01763583122268557498 C1(727,773) = 0.7922135264088917424 C2(727,773) = 1.367028564609178588 C3(727,773) = 4.453239478290756406 C4(727,773) = 6184 Sum = 4053.381978616406662 Averaged sum = 0.4049737215122796145 logp*logq = 43.81819970622408667 -------------- ************************************* p = 727; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.206047998600432421 E19 -------------- Searches starting with [727,787]-exponents: u = 1, v = 83 n_start has 244 digits starting right neighbors generation We generated 804 left neighbors We generated 9206 right neighbors We generated 10009 non-negative rho_i D1(727,787) = 0.7877794444101430431 D2(727,787) = 0.01714340859634066501 C1(727,787) = 1.122994386101147374 C2(727,787) = 1.424688339941935500 C3(727,787) = 8.308531450018819894 C4(727,787) = 6296 Sum = 3740.292467480622607 Averaged sum = 0.3736929231172567296 logp*logq = 43.93646566423439038 -------------- ************************************* p = 727; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.310676634496090505 E19 -------------- Searches starting with [727,797]-exponents: u = 1, v = 71 n_start has 209 digits starting right neighbors generation We generated 555 left neighbors We generated 9455 right neighbors We generated 10009 non-negative rho_i D1(727,797) = 0.5658773123671448455 D2(727,797) = 0.02732921899353572721 C1(727,797) = 0.8145452431351110396 C2(727,797) = 1.469677799973502152 C3(727,797) = 4.644741916095539207 C4(727,797) = 6376 Sum = 4348.708061267440243 Averaged sum = 0.4344797743298471618 logp*logq = 44.01966028563454355 -------------- ************************************* p = 727; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.446302075243186250 E19 -------------- Searches starting with [727,809]-exponents: u = 1, v = 61 n_start has 181 digits starting right neighbors generation We generated 419 left neighbors We generated 9591 right neighbors We generated 10009 non-negative rho_i D1(727,809) = 0.5430439294520418108 D2(727,809) = 0.03152987479511447824 C1(727,809) = 0.7901635374724398406 C2(727,809) = 1.512125320871596718 C3(727,809) = 4.436060795647973949 C4(727,809) = 6472 Sum = 4286.904777110268553 Averaged sum = 0.4283050032081395297 logp*logq = 44.11812677284696124 -------------- ************************************* p = 727; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.470024354721420341 E19 -------------- Searches starting with [727,811]-exponents: u = 1, v = 60 n_start has 178 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(727,811) = 0.5913742576473579640 D2(727,811) = 0.002955003219795296812 C1(727,811) = 0.8626038288076681582 C2(727,811) = 1.493017535285508112 C3(727,811) = 5.085254140604841152 C4(727,811) = 6488 Sum = 3451.769634482366050 Averaged sum = 0.3448665835230658457 logp*logq = 44.13439573537796874 -------------- ************************************* p = 727; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.593649433022133218 E19 -------------- Searches starting with [727,821]-exponents: u = 1, v = 54 n_start has 161 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(727,821) = 0.6403977379119917842 D2(727,821) = 0.02227133054897054952 C1(727,821) = 0.9417000239605314957 C2(727,821) = 1.538959949160217850 C3(727,821) = 5.903068003822967337 C4(727,821) = 6568 Sum = 3091.067750957087094 Averaged sum = 0.3088288291494741827 logp*logq = 44.21514339397166732 -------------- ************************************* p = 727; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.619403847710659647 E19 -------------- Searches starting with [727,823]-exponents: u = 1, v = 53 n_start has 158 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(727,823) = 0.7096772717445017247 D2(727,823) = 0.02057445888346448339 C1(727,823) = 1.045109350690162254 C2(727,823) = 1.543004190937464468 C3(727,823) = 7.173826338553287940 C4(727,823) = 6584 Sum = 3071.016530480792227 Averaged sum = 0.3068255100889991235 logp*logq = 44.23117485316396275 -------------- ************************************* p = 727; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.671973155237609652 E19 -------------- Searches starting with [727,827]-exponents: u = 1, v = 51 n_start has 152 digits starting right neighbors generation We generated 349 left neighbors We generated 9661 right neighbors We generated 10009 non-negative rho_i D1(727,827) = 0.7056413339110904481 D2(727,827) = 0.01157033221967994688 C1(727,827) = 1.042351841899666421 C2(727,827) = 1.545955150451822035 C3(727,827) = 7.136626538230220857 C4(727,827) = 6616 Sum = 3010.612815801451052 Averaged sum = 0.3007905700670847290 logp*logq = 44.26312122594058875 -------------- ************************************* p = 727; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.698795971608930808 E19 -------------- Searches starting with [727,829]-exponents: u = 1, v = 50 n_start has 149 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(727,829) = 0.6373399442340152102 D2(727,829) = 0.004381993686718477513 C1(727,829) = 0.9429630301397706305 C2(727,829) = 1.544997432498651839 C3(727,829) = 5.917141491832231372 C4(727,829) = 6632 Sum = 2970.319304307746659 Averaged sum = 0.2967648420729090477 logp*logq = 44.27903651502536017 -------------- ************************************* p = 727; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.838453279768202203 E19 -------------- Searches starting with [727,839]-exponents: u = 1, v = 45 n_start has 135 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(727,839) = 1.070888027967359616 D2(727,839) = 0.04629993114164828877 C1(727,839) = 1.595294427968076024 C2(727,839) = 1.607383815838750712 C3(727,839) = 20.24186234165697509 C4(727,839) = 6712 Sum = 5699.666235424777523 Averaged sum = 0.5694541148391225420 logp*logq = 44.35804137617641470 -------------- ************************************* p = 727; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.050254037261565456 E19 -------------- Searches starting with [727,853]-exponents: u = 1, v = 41 n_start has 124 digits starting right neighbors generation We generated 242 left neighbors We generated 9768 right neighbors We generated 10009 non-negative rho_i D1(727,853) = 0.5891394012584781324 D2(727,853) = 0.006597526591946540542 C1(727,853) = 0.8863289128040260543 C2(727,853) = 1.605829174034475723 C3(727,853) = 5.317887048572412916 C4(727,853) = 6824 Sum = 3517.445014578470084 Averaged sum = 0.3514282160633899574 logp*logq = 44.46708047297505739 -------------- ************************************* p = 727; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.114438197050708233 E19 -------------- Searches starting with [727,857]-exponents: u = 1, v = 40 n_start has 121 digits starting right neighbors generation We generated 236 left neighbors We generated 9774 right neighbors We generated 10009 non-negative rho_i D1(727,857) = 0.8514348175233823277 D2(727,857) = 0.009828563847315510518 C1(727,857) = 1.283714192384143451 C2(727,857) = 1.617686193651177171 C3(727,857) = 11.24926122578497997 C4(727,857) = 6856 Sum = 2647.712870661207126 Averaged sum = 0.2645332071796590194 logp*logq = 44.49790591622777188 -------------- ************************************* p = 727; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.147164123761383982 E19 -------------- Searches starting with [727,859]-exponents: u = 1, v = 39 n_start has 118 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(727,859) = 0.9415997119643068667 D2(727,859) = 0.04274820872451370382 C1(727,859) = 1.345582788487223234 C2(727,859) = 1.650929129645297827 C3(727,859) = 12.64104319928443512 C4(727,859) = 6872 Sum = 4708.348659922250995 Averaged sum = 0.4704114956461435703 logp*logq = 44.51326472616014115 -------------- ************************************* p = 727; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.213906473787975288 E19 -------------- Searches starting with [727,863]-exponents: u = 1, v = 38 n_start has 115 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(727,863) = 0.5768677212604033198 D2(727,863) = 0.04121098407713255966 C1(727,863) = 0.8257826688201570954 C2(727,863) = 1.658327186478704642 C3(727,863) = 4.744199642403771548 C4(727,863) = 6904 Sum = 3977.826267763223555 Averaged sum = 0.3974249443264285698 logp*logq = 44.54387535718618636 -------------- ************************************* p = 727; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.461545932336392402 E19 -------------- Searches starting with [727,877]-exponents: u = 1, v = 35 n_start has 106 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(727,877) = 0.6828401228324127787 D2(727,877) = 0.04208414751648027938 C1(727,877) = 1.042111558838832584 C2(727,877) = 1.688416753661894246 C3(727,877) = 7.133394183205338319 C4(727,877) = 7016 Sum = 2844.401139548533766 Averaged sum = 0.2841843480416159223 logp*logq = 44.64990634723211158 -------------- ************************************* p = 727; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.536470049945783690 E19 -------------- Searches starting with [727,881]-exponents: u = 1, v = 34 n_start has 103 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(727,881) = 0.5760928945575336246 D2(727,881) = 0.02326827537287499343 C1(727,881) = 0.8090025584963313908 C2(727,881) = 1.680018440532192346 C3(727,881) = 4.596456517995852996 C4(727,881) = 7048 Sum = 3879.046655682063883 Averaged sum = 0.3875558652894458869 logp*logq = 44.67989013721148064 -------------- ************************************* p = 727; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.574651674927801017 E19 -------------- Searches starting with [727,883]-exponents: u = 1, v = 33 n_start has 101 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(727,883) = 0.7114238239555218704 D2(727,883) = 0.05250331346508578359 C1(727,883) = 1.088689748038079501 C2(727,883) = 1.709573880091691553 C3(727,883) = 7.788164706224367161 C4(727,883) = 7064 Sum = 4082.110931796901691 Averaged sum = 0.4078440335494956230 logp*logq = 44.69483101997980389 -------------- ************************************* p = 727; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.652479233499011288 E19 -------------- Searches starting with [727,887]-exponents: u = 1, v = 33 n_start has 101 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(727,887) = 0.8295879508162630792 D2(727,887) = 0.02804652302910711932 C1(727,887) = 1.108419406491318328 C2(727,887) = 1.695980047961485328 C3(727,887) = 8.083325384139466219 C4(727,887) = 7096 Sum = 2733.824868293489759 Averaged sum = 0.2731366638319002656 logp*logq = 44.72461152933263167 -------------- ************************************* p = 727; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.072252907176865557 E19 -------------- Searches starting with [727,907]-exponents: u = 1, v = 29 n_start has 89 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(727,907) = 0.5913075126158349596 D2(727,907) = 0.03078876525436439857 C1(727,907) = 0.8126408495646525176 C2(727,907) = 1.735652198330834567 C3(727,907) = 4.628094756089384717 C4(727,907) = 7256 Sum = 3970.983122153103652 Averaged sum = 0.3967412450947251126 logp*logq = 44.87152790533861814 -------------- ************************************* p = 727; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.162634431572307792 E19 -------------- Searches starting with [727,911]-exponents: u = 1, v = 29 n_start has 89 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(727,911) = 0.7782178244239593482 D2(727,911) = 0.08431069869211549299 C1(727,911) = 1.070656327252289592 C2(727,911) = 1.789806778529072179 C3(727,911) = 7.527817784627525453 C4(727,911) = 7288 Sum = 3890.787863410656675 Averaged sum = 0.3887289303037922545 logp*logq = 44.90052212804412074 -------------- ************************************* p = 727; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.350179171677322355 E19 -------------- Searches starting with [727,919]-exponents: u = 1, v = 28 n_start has 86 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(727,919) = 0.6861038870289075521 D2(727,919) = 0.08574690469657726265 C1(727,919) = 1.070277945486064498 C2(727,919) = 1.804938701199115826 C3(727,919) = 7.522449374408974525 C4(727,919) = 7352 Sum = 3139.631971391400653 Averaged sum = 0.3136808843432311572 logp*logq = 44.95813059537640330 -------------- ************************************* p = 727; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.597802536739124374 E19 -------------- Searches starting with [727,929]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 80 left neighbors We generated 9930 right neighbors We generated 10009 non-negative rho_i D1(727,929) = 0.6628352230533170826 D2(727,929) = 0.1049325241123720795 C1(727,929) = 1.037873185074693802 C2(727,929) = 1.838815772568492222 C3(727,929) = 7.076618455507993971 C4(727,929) = 7432 Sum = 3738.329257536250938 Averaged sum = 0.3734967786528375400 logp*logq = 45.02944001951370754 -------------- ************************************* p = 727; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.806919335966609356 E19 -------------- Searches starting with [727,937]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(727,937) = 0.9137356961612559926 D2(727,937) = 0.08544963042111112061 C1(727,937) = 1.436440129157833712 C2(727,937) = 1.834462754026658853 C3(727,937) = 15.00300445155996451 C4(727,937) = 7496 Sum = 4402.674192159041831 Averaged sum = 0.4398715348345530853 logp*logq = 45.08593705571670782 -------------- ************************************* p = 727; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.915285203460372026 E19 -------------- Searches starting with [727,941]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(727,941) = 0.6751849337789321434 D2(727,941) = 0.01556702044688125411 C1(727,941) = 0.9958174442092053425 C2(727,941) = 1.779919961767447961 C3(727,941) = 6.537172175069986341 C4(727,941) = 7528 Sum = 3926.430522426612016 Averaged sum = 0.3922899912505357194 logp*logq = 45.11400494258059144 -------------- ************************************* p = 727; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.082734917078095930 E19 -------------- Searches starting with [727,947]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(727,947) = 0.7548482598458263752 D2(727,947) = 0.08135011691459867657 C1(727,947) = 1.191662722294225343 C2(727,947) = 1.846635602043383149 C3(727,947) = 9.456945986915726893 C4(727,947) = 7576 Sum = 3794.585042500289373 Averaged sum = 0.3791172986812158430 logp*logq = 45.15588385355020901 -------------- ************************************* p = 727; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.256220234309814560 E19 -------------- Searches starting with [727,953]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(727,953) = 0.8090193254497230936 D2(727,953) = 0.02441451818881026503 C1(727,953) = 1.161228008319139839 C2(727,953) = 1.806276612683451479 C3(727,953) = 8.929569433588278383 C4(727,953) = 7624 Sum = 4482.748528853269655 Averaged sum = 0.4478717682938624892 logp*logq = 45.19749826437071374 -------------- ************************************* p = 727; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.685495680180357579 E19 -------------- Searches starting with [727,967]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(727,967) = 0.7057766430816897587 D2(727,967) = 0.04018924607580278598 C1(727,967) = 1.124503913514163303 C2(727,967) = 1.840894061412833519 C3(727,967) = 8.332211615317595345 C4(727,967) = 7736 Sum = 3228.210296451400582 Averaged sum = 0.3225307519683685265 logp*logq = 45.29358847851329312 -------------- ************************************* p = 727; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.814684993298637540 E19 -------------- Searches starting with [727,971]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(727,971) = 0.6035858904587841599 D2(727,971) = 0.08118272769736311440 C1(727,971) = 0.8534835486449522795 C2(727,971) = 1.882500258173736477 C3(727,971) = 4.998559234293312178 C4(727,971) = 7768 Sum = 3920.720368331427088 Averaged sum = 0.3917194892927792075 logp*logq = 45.32078738804433203 -------------- ************************************* p = 727; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.014128456554015732 E19 -------------- Searches starting with [727,977]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(727,977) = 0.5997350083621077862 D2(727,977) = 0.006312691603397498352 C1(727,977) = 0.8217203283126071433 C2(727,977) = 1.826398583973701810 C3(727,977) = 4.708002149761517574 C4(727,977) = 7816 Sum = 3688.724392175238637 Averaged sum = 0.3685407525402376498 logp*logq = 45.36137638587078429 -------------- ************************************* p = 727; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.220536170029183208 E19 -------------- Searches starting with [727,983]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(727,983) = 0.6356871325538323896 D2(727,983) = 0.06046484279398375497 C1(727,983) = 0.8792901059334245659 C2(727,983) = 1.881465201084737687 C3(727,983) = 5.247780125792745045 C4(727,983) = 7864 Sum = 3912.651644847768447 Averaged sum = 0.3909133424765479516 logp*logq = 45.40171687807161324 -------------- ************************************* p = 727; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.506923337724110612 E19 -------------- Searches starting with [727,991]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(727,991) = 0.5851137545595892961 D2(727,991) = 0.1482646367494422720 C1(727,991) = 0.8308850147812793903 C2(727,991) = 1.970475579822619833 C3(727,991) = 4.790058662473967440 C4(727,991) = 7928 Sum = 4057.399588154732606 Averaged sum = 0.4053751212063875118 logp*logq = 45.45512285619218113 -------------- ************************************* p = 727; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.730360264206342117 E19 -------------- Searches starting with [727,997]-exponents: u = 1, v = 20 n_start has 63 digits starting right neighbors generation We generated 62 left neighbors We generated 9948 right neighbors We generated 10009 non-negative rho_i D1(727,997) = 0.6369870434721200427 D2(727,997) = 0.04553696824321113387 C1(727,997) = 0.8757281176102336234 C2(727,997) = 1.887825170104689039 C3(727,997) = 5.212655481646233895 C4(727,997) = 7976 Sum = 3876.367194680917193 Averaged sum = 0.3872881601239801372 logp*logq = 45.49489516897151111 -------------- ************************************* p = 733; q = 739; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.411342687868339977 E18 -------------- Searches starting with [733,739]-exponents: u = 1, v = 809 n_start has 2324 digits --- performed 5000 steps in the continued fraction search [733,739]-exponents: u = 161, v = 643 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(733,739) = 0.7238589646807874038 D2(733,739) = 0.2734334248338014170 C1(733,739) = 0.9277789677289811792 C2(733,739) = 1.286824216211051544 C3(733,739) = 5.756802552726198062 C4(733,739) = 5912 Sum = 5599.951366403232266 Averaged sum = 0.5600511417544986765 logp*logq = 43.57611278886426444 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(733,739) = 0.7238589646807874038 D2(733,739) = 0.2734334248338014170 C1(733,739) = 0.9277789677289811792 C2(733,739) = 1.286824216211051544 C3(733,739) = 5.756802552726198062 C4(733,739) = 5912 Sum = 5599.951366403232266 Averaged sum = 0.5600511417544986765 logp*logq = 43.57611278886426444 -------------- ************************************* p = 733; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.716286821378606411 E18 -------------- Searches starting with [733,743]-exponents: u = 1, v = 486 n_start has 1399 digits --- performed 5000 steps in the continued fraction search [733,743]-exponents: u = 185, v = 292 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(733,743) = 0.5503612019475657493 D2(733,743) = 0.1462293980361528369 C1(733,743) = 0.7181517880680918163 C2(733,743) = 1.227762427793746202 C3(733,743) = 3.876341501399196681 C4(733,743) = 5944 Sum = 5325.447543150334759 Averaged sum = 0.5325980141164451203 logp*logq = 43.61172499788885215 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(733,743) = 0.5503612019475657493 D2(733,743) = 0.1462293980361528369 C1(733,743) = 0.7181517880680918163 C2(733,743) = 1.227762427793746202 C3(733,743) = 3.876341501399196681 C4(733,743) = 5944 Sum = 5325.447543150334759 Averaged sum = 0.5325980141164451203 logp*logq = 43.61172499788885215 -------------- ************************************* p = 733; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.354393837762497091 E18 -------------- Searches starting with [733,751]-exponents: u = 1, v = 271 n_start has 783 digits --- performed 5000 steps in the continued fraction search [733,751]-exponents: u = 22, v = 231 --- starting right neighbors generation We generated 7510 left neighbors We generated 2500 right neighbors We generated 10009 non-negative rho_i D1(733,751) = 0.8620289633336341451 D2(733,751) = 0.004209867523356874825 C1(733,751) = 1.151955692780036330 C2(733,751) = 1.181993362617838390 C3(733,751) = 8.787430353910643814 C4(733,751) = 6008 Sum = 4982.156606403254717 Averaged sum = 0.4977676697375616661 logp*logq = 43.68237783598374380 -------------- ************************************* p = 733; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.858594568540375341 E18 -------------- Searches starting with [733,757]-exponents: u = 1, v = 204 n_start has 591 digits starting right neighbors generation We generated 4300 left neighbors We generated 5710 right neighbors We generated 10009 non-negative rho_i D1(733,757) = 0.6785620927555364424 D2(733,757) = 0.006846414452218868713 C1(733,757) = 0.9188455319427292425 C2(733,757) = 1.232326297436951844 C3(733,757) = 5.660589603058900577 C4(733,757) = 6056 Sum = 4817.556872814513768 Averaged sum = 0.4813224970341206681 logp*logq = 43.73487529366017349 -------------- ************************************* p = 733; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.020738284211704078 E19 -------------- Searches starting with [733,761]-exponents: u = 1, v = 175 n_start has 508 digits starting right neighbors generation We generated 3191 left neighbors We generated 6819 right neighbors We generated 10009 non-negative rho_i D1(733,761) = 1.032242263684977854 D2(733,761) = 0.005531676917526869169 C1(733,761) = 1.408480710619985119 C2(733,761) = 1.258472316397916539 C3(733,761) = 14.25762631679951268 C4(733,761) = 6088 Sum = 4953.492314986079792 Averaged sum = 0.4949038180623518625 logp*logq = 43.76964294041102284 -------------- ************************************* p = 733; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.093645445279512547 E19 -------------- Searches starting with [733,769]-exponents: u = 1, v = 137 n_start has 399 digits starting right neighbors generation We generated 1979 left neighbors We generated 8031 right neighbors We generated 10009 non-negative rho_i D1(733,769) = 0.5773136268352817586 D2(733,769) = 0.01254084911455923482 C1(733,769) = 0.7980425866892477844 C2(733,769) = 1.311963647987720690 C3(733,769) = 4.506932380229248449 C4(733,769) = 6152 Sum = 4602.211868325986938 Averaged sum = 0.4598073602084111238 logp*logq = 43.83863332811996107 -------------- ************************************* p = 733; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.131725065009296286 E19 -------------- Searches starting with [733,773]-exponents: u = 1, v = 124 n_start has 361 digits starting right neighbors generation We generated 1672 left neighbors We generated 8338 right neighbors We generated 10009 non-negative rho_i D1(733,773) = 0.7074433534469334953 D2(733,773) = 0.01454442809401214174 C1(733,773) = 0.9838735578534112551 C2(733,773) = 1.334597722311315983 C3(733,773) = 6.399451875591682194 C4(733,773) = 6184 Sum = 4233.736349220785479 Averaged sum = 0.4229929412749311099 logp*logq = 43.87285984173536076 -------------- ************************************* p = 733; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.273993635378402004 E19 -------------- Searches starting with [733,787]-exponents: u = 1, v = 92 n_start has 270 digits starting right neighbors generation We generated 894 left neighbors We generated 9116 right neighbors We generated 10009 non-negative rho_i D1(733,787) = 0.6681236369450019424 D2(733,787) = 0.02191384961350539272 C1(733,787) = 0.9455669665008473666 C2(733,787) = 1.404251621300772038 C3(733,787) = 5.953276298243377194 C4(733,787) = 6296 Sum = 4594.655738143374882 Averaged sum = 0.4590524266303701550 logp*logq = 43.99127332824602628 -------------- ************************************* p = 733; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.384660470903005966 E19 -------------- Searches starting with [733,797]-exponents: u = 1, v = 78 n_start has 230 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(733,797) = 0.6597568539470858475 D2(733,797) = 0.01302982560153201205 C1(733,797) = 0.9438084702933833494 C2(733,797) = 1.434711374761772241 C3(733,797) = 5.933558172843143015 C4(733,797) = 6376 Sum = 4558.366304976358510 Averaged sum = 0.4554267464258525836 logp*logq = 44.07457172911019280 -------------- ************************************* p = 733; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.528129257059238547 E19 -------------- Searches starting with [733,809]-exponents: u = 1, v = 66 n_start has 195 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(733,809) = 0.7150466769380104617 D2(733,809) = 0.005107423050077736954 C1(733,809) = 1.034760177480790664 C2(733,809) = 1.468665925312945939 C3(733,809) = 7.044286945997780436 C4(733,809) = 6472 Sum = 4663.596231349461534 Averaged sum = 0.4659402768857489793 logp*logq = 44.17316104636972412 -------------- ************************************* p = 733; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.553225189271721793 E19 -------------- Searches starting with [733,811]-exponents: u = 1, v = 65 n_start has 192 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(733,811) = 0.6105060714037973340 D2(733,811) = 0.02150224877579937869 C1(733,811) = 0.8854257825296954574 C2(733,811) = 1.489497282638338674 C3(733,811) = 5.314702934336236880 C4(733,811) = 6488 Sum = 3369.397798033201059 Averaged sum = 0.3366368066773105264 logp*logq = 44.18945030329216108 -------------- ************************************* p = 733; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.684016850572478902 E19 -------------- Searches starting with [733,821]-exponents: u = 1, v = 58 n_start has 172 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(733,821) = 0.6439284083278055094 D2(733,821) = 0.03785204785244105665 C1(733,821) = 0.9418718371436817267 C2(733,821) = 1.534278896330508259 C3(733,821) = 5.911918146816690685 C4(733,821) = 6568 Sum = 3198.621777935040386 Averaged sum = 0.3195745606888840430 logp*logq = 44.27029868893513464 -------------- ************************************* p = 733; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.711265883455886854 E19 -------------- Searches starting with [733,823]-exponents: u = 1, v = 56 n_start has 167 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(733,823) = 0.9258892797744792785 D2(733,823) = 0.0008018190795008191692 C1(733,823) = 1.356092843348397468 C2(733,823) = 1.507416119161040494 C3(733,823) = 12.91584756022187077 C4(733,823) = 6584 Sum = 5284.560986065832756 Averaged sum = 0.5279809157823791343 logp*logq = 44.28635014625007704 -------------- ************************************* p = 733; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.766887639450766361 E19 -------------- Searches starting with [733,827]-exponents: u = 1, v = 54 n_start has 161 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(733,827) = 0.5450022627647488374 D2(733,827) = 0.002873006980831177498 C1(733,827) = 0.8004386966285888276 C2(733,827) = 1.520534046921950053 C3(733,827) = 4.527352493813954318 C4(733,827) = 6616 Sum = 4121.022404155246034 Averaged sum = 0.4117316819018129717 logp*logq = 44.31833636988951281 -------------- ************************************* p = 733; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.795268773543902870 E19 -------------- Searches starting with [733,829]-exponents: u = 1, v = 53 n_start has 158 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(733,829) = 0.5569026668614185532 D2(733,829) = 0.001240113949324903882 C1(733,829) = 0.7808641249833705594 C2(733,829) = 1.524642342809508749 C3(733,829) = 4.363206476186417426 C4(733,829) = 6632 Sum = 4219.890603724570910 Averaged sum = 0.4216096117219073743 logp*logq = 44.33427151218285755 -------------- ************************************* p = 733; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.943048554395428347 E19 -------------- Searches starting with [733,839]-exponents: u = 1, v = 48 n_start has 144 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(733,839) = 0.6640869299371661439 D2(733,839) = 0.01393315218875041995 C1(733,839) = 0.9843537148363385569 C2(733,839) = 1.562256457493353587 C3(733,839) = 6.405251650229920947 C4(733,839) = 6712 Sum = 4323.366806372622074 Averaged sum = 0.4319479275025099484 logp*logq = 44.41337492636542680 -------------- ************************************* p = 733; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.167194068653955251 E19 -------------- Searches starting with [733,853]-exponents: u = 1, v = 43 n_start has 129 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(733,853) = 0.8702719243314390978 D2(733,853) = 0.003223370313731505026 C1(733,853) = 1.236060010880493190 C2(733,853) = 1.587348122423148106 C3(733,853) = 10.29848355932758445 C4(733,853) = 6824 Sum = 4549.755369488190427 Averaged sum = 0.4545664271643711087 logp*logq = 44.52255004180123395 -------------- ************************************* p = 733; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.235125035394498207 E19 -------------- Searches starting with [733,857]-exponents: u = 1, v = 42 n_start has 127 digits starting right neighbors generation We generated 248 left neighbors We generated 9762 right neighbors We generated 10009 non-negative rho_i D1(733,857) = 0.6017709231756559823 D2(733,857) = 0.01288635272329540142 C1(733,857) = 0.9036315761021171934 C2(733,857) = 1.605073818667386116 C3(733,857) = 5.500422148835197221 C4(733,857) = 6856 Sum = 3465.954408202831593 Averaged sum = 0.3462837854134110893 logp*logq = 44.55341393763567670 -------------- ************************************* p = 733; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.269762362116389031 E19 -------------- Searches starting with [733,859]-exponents: u = 1, v = 41 n_start has 124 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(733,859) = 0.5595124746215437178 D2(733,859) = 0.04773870328187058450 C1(733,859) = 0.7971203865412468441 C2(733,859) = 1.640247284470564323 C3(733,859) = 4.499097779897410176 C4(733,859) = 6872 Sum = 4140.569503200658345 Averaged sum = 0.4136846341493314362 logp*logq = 44.56879190660784731 -------------- ************************************* p = 733; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.340404915859958973 E19 -------------- Searches starting with [733,863]-exponents: u = 1, v = 40 n_start has 121 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(733,863) = 0.5510841779559594104 D2(733,863) = 0.05354699841325715535 C1(733,863) = 0.7863712000424439693 C2(733,863) = 1.654389591298353544 C3(733,863) = 4.408775865580408349 C4(733,863) = 6904 Sum = 3964.253152549907761 Averaged sum = 0.3960688532870324469 logp*logq = 44.59944072225241148 -------------- ************************************* p = 733; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.602538231367903124 E19 -------------- Searches starting with [733,877]-exponents: u = 1, v = 36 n_start has 109 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(733,877) = 0.5826776048282243410 D2(733,877) = 0.005559039970017501769 C1(733,877) = 0.8848838290182606931 C2(733,877) = 1.642527381395052542 C3(733,877) = 5.309271589352570970 C4(733,877) = 7016 Sum = 3922.003366859355939 Averaged sum = 0.3918476737795340133 logp*logq = 44.70560397853298717 -------------- ************************************* p = 733; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.681854155314972269 E19 -------------- Searches starting with [733,881]-exponents: u = 1, v = 35 n_start has 106 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(733,881) = 0.6786851292325596536 D2(733,881) = 0.06707941286861235370 C1(733,881) = 1.033285418011513053 C2(733,881) = 1.704685706057185318 C3(733,881) = 7.024714614509956441 C4(733,881) = 7048 Sum = 4045.554785221558268 Averaged sum = 0.4041917059867677358 logp*logq = 44.73562517119056761 -------------- ************************************* p = 733; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.722274991820464604 E19 -------------- Searches starting with [733,883]-exponents: u = 1, v = 35 n_start has 106 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(733,883) = 0.5987846761089793196 D2(733,883) = 0.02054649735253691059 C1(733,883) = 0.8620873344883504229 C2(733,883) = 1.667838654073909448 C3(733,883) = 5.085767420936573221 C4(733,883) = 7064 Sum = 3965.444723553151848 Averaged sum = 0.3961879032423970274 logp*logq = 44.75058469166382282 -------------- ************************************* p = 733; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.804669153648240681 E19 -------------- Searches starting with [733,887]-exponents: u = 1, v = 34 n_start has 104 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(733,887) = 0.5374683582268131212 D2(733,887) = 0.002882299859974198764 C1(733,887) = 0.7753529921483095132 C2(733,887) = 1.660591481824353272 C3(733,887) = 4.318075037547699830 C4(733,887) = 7096 Sum = 3988.039927814257467 Averaged sum = 0.3984453919286899258 logp*logq = 44.78040235011651627 -------------- ************************************* p = 733; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.249123368298704714 E19 -------------- Searches starting with [733,907]-exponents: u = 1, v = 30 n_start has 92 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(733,907) = 0.9631372815484530228 D2(733,907) = 0.02354773448567851869 C1(733,907) = 1.487438776329722313 C2(733,907) = 1.716602677202985778 C3(733,907) = 16.54786612882750644 C4(733,907) = 7256 Sum = 4843.732159147265471 Averaged sum = 0.4839376720099176213 logp*logq = 44.92750199401290336 -------------- ************************************* p = 733; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.344829156861256906 E19 -------------- Searches starting with [733,911]-exponents: u = 1, v = 30 n_start has 92 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(733,911) = 0.7446868356616613663 D2(733,911) = 0.07759461973368209413 C1(733,911) = 1.053924515390041305 C2(733,911) = 1.771279280363455470 C3(733,911) = 7.303641626129896306 C4(733,911) = 7288 Sum = 4272.182823988244220 Averaged sum = 0.4268341316803121411 logp*logq = 44.95653238498074335 -------------- ************************************* p = 733; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.543432704920036799 E19 -------------- Searches starting with [733,919]-exponents: u = 1, v = 29 n_start has 89 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(733,919) = 0.6756788774045213944 D2(733,919) = 0.08720430149540150482 C1(733,919) = 0.9208963941890738019 C2(733,919) = 1.793957323564865327 C3(733,919) = 5.682534168801001457 C4(733,919) = 7352 Sum = 3682.818676582088701 Averaged sum = 0.3679507120173932162 logp*logq = 45.01421271484165764 -------------- ************************************* p = 733; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.805678622487055841 E19 -------------- Searches starting with [733,929]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(733,929) = 0.6527700770980639319 D2(733,929) = 0.007891021691435629215 C1(733,929) = 0.8917517681870187063 C2(733,929) = 1.741774270147555772 C3(733,929) = 5.378513083478487314 C4(733,929) = 7432 Sum = 3780.556973055993812 Averaged sum = 0.3777157531277843752 logp*logq = 45.08561109249171933 -------------- ************************************* p = 733; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.027161711598429851 E19 -------------- Searches starting with [733,937]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 80 left neighbors We generated 9930 right neighbors We generated 10009 non-negative rho_i D1(733,937) = 0.6542308100920205283 D2(733,937) = 0.1052576020988408519 C1(733,937) = 1.024645082507274278 C2(733,937) = 1.840385577952338511 C3(733,937) = 6.911131777563323237 C4(733,937) = 7496 Sum = 3713.832279723254661 Averaged sum = 0.3710492836170701030 logp*logq = 45.14217860479085194 -------------- ************************************* p = 733; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.141941906859798115 E19 -------------- Searches starting with [733,941]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(733,941) = 0.6432652088252321840 D2(733,941) = 0.03752106919500322348 C1(733,941) = 0.8899351492025716536 C2(733,941) = 1.787155802274018186 C3(733,941) = 5.360110854567696896 C4(733,941) = 7528 Sum = 3830.380934765890475 Averaged sum = 0.3826936691743321485 logp*logq = 45.17028150437798253 -------------- ************************************* p = 733; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.319310959718437687 E19 -------------- Searches starting with [733,947]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(733,947) = 0.8141203696325479640 D2(733,947) = 0.1110302481772501677 C1(733,947) = 1.142818886897101881 C2(733,947) = 1.861592423483302472 C3(733,947) = 8.637252155660893422 C4(733,947) = 7576 Sum = 4137.578150493775751 Averaged sum = 0.4133857678583051005 logp*logq = 45.21221265635622235 -------------- ************************************* p = 733; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.503082721021244906 E19 -------------- Searches starting with [733,953]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(733,953) = 0.6458982674708528334 D2(733,953) = 0.05650109856306089104 C1(733,953) = 1.019936558930747843 C2(733,953) = 1.822713196342187618 C3(733,953) = 6.850010173989391714 C4(733,953) = 7624 Sum = 3531.834988868811136 Averaged sum = 0.3528659195592777636 logp*logq = 45.25387897823993645 -------------- ************************************* p = 733; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.957850556706683610 E19 -------------- Searches starting with [733,967]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(733,967) = 0.6112264999584034439 D2(733,967) = 0.08522264012637868525 C1(733,967) = 0.8504588719100450816 C2(733,967) = 1.869236508634626065 C3(733,967) = 4.975407356344317542 C4(733,967) = 7736 Sum = 3933.091906904267156 Averaged sum = 0.3929555307127852088 logp*logq = 45.35008905819538706 -------------- ************************************* p = 733; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.094722141051101978 E19 -------------- Searches starting with [733,971]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(733,971) = 0.6650417278347614114 D2(733,971) = 0.0003208959912818503719 C1(733,971) = 0.9874338969008673427 C2(733,971) = 1.801638426467655213 C3(733,971) = 6.442582119209847227 C4(733,971) = 7768 Sum = 3730.967666748480815 Averaged sum = 0.3727612815214787507 logp*logq = 45.37732189646130538 -------------- ************************************* p = 733; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.306034508307473057 E19 -------------- Searches starting with [733,977]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(733,977) = 0.8771792203913685720 D2(733,977) = 0.05626217736483396711 C1(733,977) = 1.397912643005353945 C2(733,977) = 1.858494031706187374 C3(733,977) = 13.97617138260917902 C4(733,977) = 7816 Sum = 4074.577681280302749 Averaged sum = 0.4070913858807376110 logp*logq = 45.41796152622006739 -------------- ************************************* p = 733; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.524736607810610933 E19 -------------- Searches starting with [733,983]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(733,983) = 0.7764294348559943232 D2(733,983) = 0.1223595207297129852 C1(733,983) = 1.156892917833211586 C2(733,983) = 1.925500062499804271 C3(733,983) = 8.869665492753893958 C4(733,983) = 7864 Sum = 3936.982720892155844 Averaged sum = 0.3933442622531877154 logp*logq = 45.45835234035984117 -------------- ************************************* p = 733; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.828199807536132103 E19 -------------- Searches starting with [733,991]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(733,991) = 0.8375413131367329020 D2(733,991) = 0.05548592938603572954 C1(733,991) = 1.140860510916986389 C2(733,991) = 1.877696872459213290 C3(733,991) = 8.605398595206225625 C4(733,991) = 7928 Sum = 3813.985953739050619 Averaged sum = 0.3810556452931412348 logp*logq = 45.51182493869805272 -------------- ************************************* p = 733; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.064973043375364459 E19 -------------- Searches starting with [733,997]-exponents: u = 1, v = 21 n_start has 66 digits starting right neighbors generation We generated 65 left neighbors We generated 9945 right neighbors We generated 10009 non-negative rho_i D1(733,997) = 0.5977485432045249366 D2(733,997) = 0.1174567571976621961 C1(733,997) = 0.8940013822177453888 C2(733,997) = 1.940569199331451544 C3(733,997) = 5.401389107929240884 C4(733,997) = 7976 Sum = 3489.303864639981671 Averaged sum = 0.3486166314956520802 logp*logq = 45.55164686465228925 -------------- ************************************* p = 739; q = 743; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.198911541064742665 E18 -------------- Searches starting with [739,743]-exponents: u = 1, v = 1223 n_start has 3515 digits --- performed 5000 steps in the continued fraction search [739,743]-exponents: u = 114, v = 1106 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(739,743) = 0.6317663590665719407 D2(739,743) = 0.3524413351752753645 C1(739,743) = 0.7995180239363685623 C2(739,743) = 1.318870043303259288 C3(739,743) = 4.523960037285355039 C4(739,743) = 5944 Sum = 5800.334510332136057 Averaged sum = 0.5800914601792315289 logp*logq = 43.66561684019471532 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(739,743) = 0.6317663590665719407 D2(739,743) = 0.3524413351752753645 C1(739,743) = 0.7995180239363685623 C2(739,743) = 1.318870043303259288 C3(739,743) = 4.523960037285355039 C4(739,743) = 5944 Sum = 5800.334510332136057 Averaged sum = 0.5800914601792315289 logp*logq = 43.66561684019471532 -------------- ************************************* p = 739; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.873212793385481645 E18 -------------- Searches starting with [739,751]-exponents: u = 1, v = 410 n_start has 1182 digits --- performed 5000 steps in the continued fraction search [739,751]-exponents: u = 146, v = 253 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(739,751) = 0.8583470847678404253 D2(739,751) = 0.09525381773951559154 C1(739,751) = 1.127587672741019176 C2(739,751) = 1.204186565848742052 C3(739,751) = 8.404281199637780595 C4(739,751) = 6008 Sum = 5222.670377569485701 Averaged sum = 0.5223192696839169618 logp*logq = 43.73635698535231214 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(739,751) = 0.8583470847678404253 D2(739,751) = 0.09525381773951559154 C1(739,751) = 1.127587672741019176 C2(739,751) = 1.204186565848742052 C3(739,751) = 8.404281199637780595 C4(739,751) = 6008 Sum = 5222.670377569485701 Averaged sum = 0.5223192696839169618 logp*logq = 43.73635698535231214 -------------- ************************************* p = 739; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.040605284575493736 E19 -------------- Searches starting with [739,757]-exponents: u = 1, v = 274 n_start has 792 digits --- performed 5000 steps in the continued fraction search [739,757]-exponents: u = 221, v = 36 --- starting right neighbors generation We generated 7844 left neighbors We generated 2166 right neighbors We generated 10009 non-negative rho_i D1(739,757) = 0.5954608151429424375 D2(739,757) = 0.002150289536807109899 C1(739,757) = 0.7956033990936893784 C2(739,757) = 1.179518523461803354 C3(739,757) = 4.490649804671674551 C4(739,757) = 6056 Sum = 4970.055260050622519 Averaged sum = 0.4965586232441425236 logp*logq = 43.78891931514078725 -------------- ************************************* p = 739; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.077467260718882426 E19 -------------- Searches starting with [739,761]-exponents: u = 1, v = 225 n_start has 652 digits --- performed 5000 steps in the continued fraction search [739,761]-exponents: u = 78, v = 125 --- starting right neighbors generation We generated 5374 left neighbors We generated 4636 right neighbors We generated 10009 non-negative rho_i D1(739,761) = 0.7295178421346316461 D2(739,761) = 0.003805636210262466046 C1(739,761) = 0.9835955595352027391 C2(739,761) = 1.213997824113496637 C3(739,761) = 6.403870401424557347 C4(739,761) = 6088 Sum = 4814.422237274387143 Averaged sum = 0.4810093153436294478 logp*logq = 43.82372992493738023 -------------- ************************************* p = 739; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.154524762775882236 E19 -------------- Searches starting with [739,769]-exponents: u = 1, v = 165 n_start has 480 digits starting right neighbors generation We generated 2852 left neighbors We generated 7158 right neighbors We generated 10009 non-negative rho_i D1(739,769) = 1.136580850421002981 D2(739,769) = 0.004975694105302605367 C1(739,769) = 1.555830910111356841 C2(739,769) = 1.269799447374289749 C3(739,769) = 18.86313857601181073 C4(739,769) = 6152 Sum = 5052.448228583011933 Averaged sum = 0.5047905113980429546 logp*logq = 43.89280556538730062 -------------- ************************************* p = 739; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.194774669448964915 E19 -------------- Searches starting with [739,773]-exponents: u = 1, v = 146 n_start has 425 digits starting right neighbors generation We generated 2247 left neighbors We generated 7763 right neighbors We generated 10009 non-negative rho_i D1(739,773) = 0.7216674135855409045 D2(739,773) = 0.007580422696029878606 C1(739,773) = 0.9943025668123108465 C2(739,773) = 1.295632235462796968 C3(739,773) = 6.534631896560483113 C4(739,773) = 6184 Sum = 4724.362154239477713 Averaged sum = 0.4720114051593043973 logp*logq = 43.92707437335988361 -------------- ************************************* p = 739; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.345165990960691106 E19 -------------- Searches starting with [739,787]-exponents: u = 1, v = 104 n_start has 305 digits starting right neighbors generation We generated 1205 left neighbors We generated 8805 right neighbors We generated 10009 non-negative rho_i D1(739,787) = 0.9214566668571190682 D2(739,787) = 0.001026450874693963881 C1(739,787) = 1.294484435520148842 C2(739,787) = 1.359223399870112747 C3(739,787) = 11.51696280424105797 C4(739,787) = 6296 Sum = 5045.298240083421659 Averaged sum = 0.5040761554684205874 logp*logq = 44.04563418567954268 -------------- ************************************* p = 739; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.462165788146041838 E19 -------------- Searches starting with [739,797]-exponents: u = 1, v = 87 n_start has 256 digits starting right neighbors generation We generated 844 left neighbors We generated 9166 right neighbors We generated 10009 non-negative rho_i D1(739,797) = 0.6272091905335129423 D2(739,797) = 0.01867884063766440820 C1(739,797) = 0.8559681632589919553 C2(739,797) = 1.416146404223670526 C3(739,797) = 5.032708782646988599 C4(739,797) = 6376 Sum = 3832.442895606474352 Averaged sum = 0.3828996798487835301 logp*logq = 44.12903551997007378 -------------- ************************************* p = 739; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.613861733250064547 E19 -------------- Searches starting with [739,809]-exponents: u = 1, v = 72 n_start has 213 digits starting right neighbors generation We generated 563 left neighbors We generated 9447 right neighbors We generated 10009 non-negative rho_i D1(739,809) = 1.076291991619619483 D2(739,809) = 0.02065012902006815611 C1(739,809) = 1.548380939243593566 C2(739,809) = 1.461307805248581430 C3(739,809) = 18.59969320196805051 C4(739,809) = 6472 Sum = 5750.282478261623920 Averaged sum = 0.5745111877571809291 logp*logq = 44.22774666593367609 -------------- ************************************* p = 739; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.640398639091357033 E19 -------------- Searches starting with [739,811]-exponents: u = 1, v = 71 n_start has 210 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(739,811) = 0.8791835924450923500 D2(739,811) = 0.01276607989953179144 C1(739,811) = 1.267287242300536746 C2(739,811) = 1.461058049309040821 C3(739,811) = 10.94055092316181273 C4(739,811) = 6488 Sum = 3527.128246976906257 Averaged sum = 0.3523956685959542668 logp*logq = 44.24405605180229407 -------------- ************************************* p = 739; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.778708566337342944 E19 -------------- Searches starting with [739,821]-exponents: u = 1, v = 62 n_start has 184 digits starting right neighbors generation We generated 426 left neighbors We generated 9584 right neighbors We generated 10009 non-negative rho_i D1(739,821) = 0.6155980745504947644 D2(739,821) = 0.03016883409549995763 C1(739,821) = 0.8950409852931297425 C2(739,821) = 1.508286614458520449 C3(739,821) = 5.417978919719520694 C4(739,821) = 6568 Sum = 4374.717819107547301 Averaged sum = 0.4370784113405482367 logp*logq = 44.32500434334098639 -------------- ************************************* p = 739; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.807525655495344818 E19 -------------- Searches starting with [739,823]-exponents: u = 1, v = 61 n_start has 181 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(739,823) = 0.5398722407251099872 D2(739,823) = 0.003077462193914417327 C1(739,823) = 0.7868311756788424767 C2(739,823) = 1.490447372526638073 C3(739,823) = 4.416893312975846749 C4(739,823) = 6584 Sum = 3917.328764297628705 Averaged sum = 0.3913806338592895099 logp*logq = 44.34107563574858880 -------------- ************************************* p = 739; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.866349937783945317 E19 -------------- Searches starting with [739,827]-exponents: u = 1, v = 58 n_start has 173 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(739,827) = 0.5695287199834393150 D2(739,827) = 0.01772339626151334897 C1(739,827) = 0.8321342069954416742 C2(739,827) = 1.515113417922768135 C3(739,827) = 4.811278767667325290 C4(739,827) = 6616 Sum = 4225.580288127808727 Averaged sum = 0.4221780685510848963 logp*logq = 44.37310138537605692 -------------- ************************************* p = 739; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.896366054927135840 E19 -------------- Searches starting with [739,829]-exponents: u = 1, v = 57 n_start has 170 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(739,829) = 0.7830585195378224869 D2(739,829) = 0.02253294740914181971 C1(739,829) = 1.093486972336831135 C2(739,829) = 1.525113856747838347 C3(739,829) = 7.880280374208752952 C4(739,829) = 6632 Sum = 4213.866331428007794 Averaged sum = 0.4210077261892304719 logp*logq = 44.38905621902936589 -------------- ************************************* p = 739; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.052668421886251578 E19 -------------- Searches starting with [739,839]-exponents: u = 1, v = 52 n_start has 155 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(739,839) = 0.8776312610989808485 D2(739,839) = 0.01883579820643939066 C1(739,839) = 1.294946287492091916 C2(739,839) = 1.549420116038713527 C3(739,839) = 11.52700902389971092 C4(739,839) = 6712 Sum = 3061.189886964072737 Averaged sum = 0.3058437293400012725 logp*logq = 44.46825738281306165 -------------- ************************************* p = 739; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.289768317702987375 E19 -------------- Searches starting with [739,853]-exponents: u = 1, v = 46 n_start has 138 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(739,853) = 0.8892472785367664801 D2(739,853) = 0.04266934471494883039 C1(739,853) = 1.325280845400213294 C2(739,853) = 1.606005061239304329 C3(739,853) = 12.20640307484965617 C4(739,853) = 6824 Sum = 2870.334205501137139 Averaged sum = 0.2867753227596300468 logp*logq = 44.57756740802611507 -------------- ************************************* p = 739; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.361631458270215927 E19 -------------- Searches starting with [739,857]-exponents: u = 1, v = 44 n_start has 132 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(739,857) = 0.5675137035841625575 D2(739,857) = 0.004836937480632513540 C1(739,857) = 0.8050302081266031277 C2(739,857) = 1.582437951437023667 C3(739,857) = 4.571283519576861099 C4(739,857) = 6856 Sum = 4172.913080218193801 Averaged sum = 0.4169160835466274154 logp*logq = 44.60846944296666598 -------------- ************************************* p = 739; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.398274805674800906 E19 -------------- Searches starting with [739,859]-exponents: u = 1, v = 43 n_start has 130 digits starting right neighbors generation We generated 214 left neighbors We generated 9796 right neighbors We generated 10009 non-negative rho_i D1(739,859) = 0.7312221570996076680 D2(739,859) = 0.04038661341667023901 C1(739,859) = 1.093863675969710918 C2(739,859) = 1.618306699979334554 C3(739,859) = 7.885886572704147184 C4(739,859) = 6872 Sum = 4437.872488640707175 Averaged sum = 0.4433881994845346363 logp*logq = 44.62386641478907636 -------------- ************************************* p = 739; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.473010753455585541 E19 -------------- Searches starting with [739,863]-exponents: u = 1, v = 42 n_start has 127 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(739,863) = 0.5743951450659363500 D2(739,863) = 0.05323027663796002289 C1(739,863) = 0.8172114668015803962 C2(739,863) = 1.638955437377754166 C3(739,863) = 4.677625834278034153 C4(739,863) = 6904 Sum = 4163.141514400920828 Averaged sum = 0.4159398056150385481 logp*logq = 44.65455310376104636 -------------- ************************************* p = 739; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.750357164156210226 E19 -------------- Searches starting with [739,877]-exponents: u = 1, v = 38 n_start has 115 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(739,877) = 0.5721164904428262929 D2(739,877) = 0.03059619330200966597 C1(739,877) = 0.8193092227850064823 C2(739,877) = 1.649951920906561698 C3(739,877) = 4.696187342148505055 C4(739,877) = 7016 Sum = 4105.435316116722296 Averaged sum = 0.4101743746744652109 logp*logq = 44.76084754800693245 -------------- ************************************* p = 739; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.834283216538273991 E19 -------------- Searches starting with [739,881]-exponents: u = 1, v = 37 n_start has 112 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(739,881) = 0.5679705640971212787 D2(739,881) = 0.02420569999402866577 C1(739,881) = 0.8148208565628254053 C2(739,881) = 1.652826154054608755 C3(739,881) = 4.656562498229416555 C4(739,881) = 7048 Sum = 4083.234289546618430 Averaged sum = 0.4079562683131799810 logp*logq = 44.79090583842619543 -------------- ************************************* p = 739; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.877054643980078441 E19 -------------- Searches starting with [739,883]-exponents: u = 1, v = 37 n_start has 112 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(739,883) = 0.7225415670314776580 D2(739,883) = 0.05599705427456949901 C1(739,883) = 1.097541165200974063 C2(739,883) = 1.684934198677925189 C3(739,883) = 7.940825849184582341 C4(739,883) = 7064 Sum = 2491.147900652697847 Averaged sum = 0.2488907883557496100 logp*logq = 44.80588384466488081 -------------- ************************************* p = 739; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.964242687575506182 E19 -------------- Searches starting with [739,887]-exponents: u = 1, v = 36 n_start has 109 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(739,887) = 0.6140176833185543444 D2(739,887) = 0.04396506926810362793 C1(739,887) = 0.9350526639647416993 C2(739,887) = 1.682522838849951508 C3(739,887) = 5.843090092902261337 C4(739,887) = 7096 Sum = 3403.072725413966985 Averaged sum = 0.3400012713971392731 logp*logq = 44.83573834936814886 -------------- ************************************* p = 739; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.434608688354133446 E19 -------------- Searches starting with [739,907]-exponents: u = 1, v = 32 n_start has 98 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(739,907) = 0.8237316243094073580 D2(739,907) = 0.01087988152301165016 C1(739,907) = 1.141725260988123030 C2(739,907) = 1.692694793065722806 C3(739,907) = 8.631611329459886377 C4(739,907) = 7256 Sum = 3983.930847508880238 Averaged sum = 0.3980348533828434647 logp*logq = 44.98301976710660472 -------------- ************************************* p = 739; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.535904952965467922 E19 -------------- Searches starting with [739,911]-exponents: u = 1, v = 31 n_start has 95 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(739,911) = 0.5865295322937955256 D2(739,911) = 0.06446874344004250938 C1(739,911) = 0.8517924402603841043 C2(739,911) = 1.746910566214430744 C3(739,911) = 4.993190747787280510 C4(739,911) = 7288 Sum = 3971.586112422023141 Averaged sum = 0.3968014899012911521 logp*logq = 45.01208603148353807 -------------- ************************************* p = 739; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.746120874589035715 E19 -------------- Searches starting with [739,919]-exponents: u = 1, v = 30 n_start has 92 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(739,919) = 0.5988257974479200323 D2(739,919) = 0.08160215407872132205 C1(739,919) = 0.8476554542062750607 C2(739,919) = 1.776537937400641378 C3(739,919) = 4.954345317983135040 C4(739,919) = 7352 Sum = 3888.108655712243795 Averaged sum = 0.3884612504458231387 logp*logq = 45.06983763803073718 -------------- ************************************* p = 739; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.023722531977401111 E19 -------------- Searches starting with [739,929]-exponents: u = 1, v = 28 n_start has 86 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(739,929) = 0.6587632318132163557 D2(739,929) = 0.01453225030345654110 C1(739,929) = 1.024417014377098740 C2(739,929) = 1.735287344166358908 C3(739,929) = 6.916903795609426283 C4(739,929) = 7432 Sum = 3697.182355217427073 Averaged sum = 0.3693857883122616718 logp*logq = 45.14132424402098486 -------------- ************************************* p = 739; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.258192996172667569 E19 -------------- Searches starting with [739,937]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(739,937) = 0.6325289123775127820 D2(739,937) = 0.008845437240265265032 C1(739,937) = 0.8642514197772624510 C2(739,937) = 1.743973413093762924 C3(739,937) = 5.112027481475488221 C4(739,937) = 7496 Sum = 3896.294409111318075 Averaged sum = 0.3892790897303744705 logp*logq = 45.19796165787646745 -------------- ************************************* p = 739; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.379710025035659999 E19 -------------- Searches starting with [739,941]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(739,941) = 1.093358416870606087 D2(739,941) = 0.05388117994582626334 C1(739,941) = 1.557973234484008059 C2(739,941) = 1.789627511337623157 C3(739,941) = 18.93958378506980187 C4(739,941) = 7528 Sum = 4982.509749012515520 Averaged sum = 0.4978029522442317434 logp*logq = 45.22609928475386140 -------------- ************************************* p = 739; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.567497605266344898 E19 -------------- Searches starting with [739,947]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(739,947) = 0.5881475458142247016 D2(739,947) = 0.01595428662952311308 C1(739,947) = 0.8394232552265581813 C2(739,947) = 1.766516461935575417 C3(739,947) = 4.877943393211837769 C4(739,947) = 7576 Sum = 4108.168454116099939 Averaged sum = 0.4104474427131681425 logp*logq = 45.26808225185819916 -------------- ************************************* p = 739; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.762074033774510427 E19 -------------- Searches starting with [739,953]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(739,953) = 0.9580894560149936507 D2(739,953) = 0.08395111461468062563 C1(739,953) = 1.506887946836198246 C2(739,953) = 1.835434832934287868 C3(739,953) = 17.19831864333887718 C4(739,953) = 7624 Sum = 4557.842139457311583 Averaged sum = 0.4553743770064253755 logp*logq = 45.30980006161240063 -------------- ************************************* p = 739; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.243620858948663237 E19 -------------- Searches starting with [739,967]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(739,967) = 0.5757186425096154850 D2(739,967) = 0.001461949201883827825 C1(739,967) = 0.8521580162205380779 C2(739,967) = 1.785475817710131207 C3(739,967) = 4.996638040938234043 C4(739,967) = 7736 Sum = 3688.252989689725428 Averaged sum = 0.3684936546797607581 logp*logq = 45.40612903020290168 -------------- ************************************* p = 739; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.388563049407915024 E19 -------------- Searches starting with [739,971]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(739,971) = 0.6846552988058878776 D2(739,971) = 0.03961032970672960164 C1(739,971) = 0.9519146567409031050 C2(739,971) = 1.824233230940798518 C3(739,971) = 6.032087081197804944 C4(739,971) = 7768 Sum = 3847.964969454637306 Averaged sum = 0.3844504915031109307 logp*logq = 45.43339552060767575 -------------- ************************************* p = 739; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.612344814155370228 E19 -------------- Searches starting with [739,977]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(739,977) = 0.8126299149404091304 D2(739,977) = 0.1054154639448338361 C1(739,977) = 1.169069992855213667 C2(739,977) = 1.890947193479766152 C3(739,977) = 9.088906055623346746 C4(739,977) = 7816 Sum = 4479.466947074456679 Averaged sum = 0.4475439051927721729 logp*logq = 45.47408536953383905 -------------- ************************************* p = 739; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.843963969510409453 E19 -------------- Searches starting with [739,983]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(739,983) = 0.6162381481604561816 D2(739,983) = 0.03329226493261377310 C1(739,983) = 0.9823359155293142701 C2(739,983) = 1.836432806702705059 C3(739,983) = 6.388659791474975235 C4(739,983) = 7864 Sum = 3756.693365907415001 Averaged sum = 0.3753315382063557799 logp*logq = 45.51452609537479711 -------------- ************************************* p = 739; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.165369093087316075 E19 -------------- Searches starting with [739,991]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(739,991) = 0.8679574168635915421 D2(739,991) = 0.1171634153914798861 C1(739,991) = 1.293551991173648653 C2(739,991) = 1.921506891303182864 C3(739,991) = 11.49670691827511197 C4(739,991) = 7928 Sum = 4223.957562715925333 Averaged sum = 0.4220159419238610584 logp*logq = 45.56806477082501163 -------------- ************************************* p = 739; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.416155705655428154 E19 -------------- Searches starting with [739,997]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 89 left neighbors We generated 9921 right neighbors We generated 10009 non-negative rho_i D1(739,997) = 0.8055206950875704441 D2(739,997) = 0.03251327265395899912 C1(739,997) = 1.290540038759386824 C2(739,997) = 1.855625714787748347 C3(739,997) = 11.43152007237542659 C4(739,997) = 7976 Sum = 2148.676470254732616 Averaged sum = 0.2146744400294467595 logp*logq = 45.60793590549442613 -------------- ************************************* p = 743; q = 751; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.023249538833340276 E19 -------------- Searches starting with [743,751]-exponents: u = 1, v = 617 n_start has 1778 digits --- performed 5000 steps in the continued fraction search [743,751]-exponents: u = 92, v = 518 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(743,751) = 0.7038374119326021576 D2(743,751) = 0.2084291137057488523 C1(743,751) = 0.9106891158788542382 C2(743,751) = 1.257916942381655655 C3(743,751) = 5.584575766157825807 C4(743,751) = 6008 Sum = 5453.119983235958043 Averaged sum = 0.5453665349770935136 logp*logq = 43.77210015258898177 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(743,751) = 0.7038374119326021576 D2(743,751) = 0.2084291137057488523 C1(743,751) = 0.9106891158788542382 C2(743,751) = 1.257916942381655655 C3(743,751) = 5.584575766157825807 C4(743,751) = 6008 Sum = 5453.119983235958043 Averaged sum = 0.5453665349770935136 logp*logq = 43.77210015258898177 -------------- ************************************* p = 743; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.078518857480952164 E19 -------------- Searches starting with [743,757]-exponents: u = 1, v = 354 n_start has 1023 digits --- performed 5000 steps in the continued fraction search [743,757]-exponents: u = 135, v = 206 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(743,757) = 0.7716402989648200948 D2(743,757) = 0.04817973523157498601 C1(743,757) = 1.019828231015999863 C2(743,757) = 1.182374076541874196 C3(743,757) = 6.862956399401953482 C4(743,757) = 6056 Sum = 5133.790885921051966 Averaged sum = 0.5134304316352687234 logp*logq = 43.82470543849619826 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(743,757) = 0.7716402989648200948 D2(743,757) = 0.04817973523157498601 C1(743,757) = 1.019828231015999863 C2(743,757) = 1.182374076541874196 C3(743,757) = 6.862956399401953482 C4(743,757) = 6056 Sum = 5133.790885921051966 Averaged sum = 0.5134304316352687234 logp*logq = 43.82470543849619826 -------------- ************************************* p = 743; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.116755638297137955 E19 -------------- Searches starting with [743,761]-exponents: u = 1, v = 276 n_start has 799 digits --- performed 5000 steps in the continued fraction search [743,761]-exponents: u = 185, v = 74 --- starting right neighbors generation We generated 7904 left neighbors We generated 2106 right neighbors We generated 10009 non-negative rho_i D1(743,761) = 0.7347630322990586002 D2(743,761) = 0.005154639601448392256 C1(743,761) = 0.9815153507616614405 C2(743,761) = 1.181820865003524941 C3(743,761) = 6.383887241566928571 C4(743,761) = 6088 Sum = 4973.492759873598373 Averaged sum = 0.4969020641296431584 logp*logq = 43.85954449696875176 -------------- ************************************* p = 743; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.196690490361260658 E19 -------------- Searches starting with [743,769]-exponents: u = 1, v = 192 n_start has 557 digits starting right neighbors generation We generated 3863 left neighbors We generated 6147 right neighbors We generated 10009 non-negative rho_i D1(743,769) = 0.6959618494982647696 D2(743,769) = 0.009458665825157714797 C1(743,769) = 0.9457308369650779299 C2(743,769) = 1.247477975745959954 C3(743,769) = 5.966684312268483925 C4(743,769) = 6152 Sum = 4673.417308303056255 Averaged sum = 0.4669215014789745484 logp*logq = 43.92867658890066020 -------------- ************************************* p = 743; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.238445093474039198 E19 -------------- Searches starting with [743,773]-exponents: u = 1, v = 167 n_start has 486 digits starting right neighbors generation We generated 3039 left neighbors We generated 6971 right neighbors We generated 10009 non-negative rho_i D1(743,773) = 1.141224359771030167 D2(743,773) = 0.005822716142340250476 C1(743,773) = 1.561878754141917282 C2(743,773) = 1.270029634936364830 C3(743,773) = 19.10410329793536064 C4(743,773) = 6184 Sum = 4561.560142566869549 Averaged sum = 0.4557458429979887650 logp*logq = 43.96297340276625289 -------------- ************************************* p = 743; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.394468501551343406 E19 -------------- Searches starting with [743,787]-exponents: u = 1, v = 114 n_start has 334 digits starting right neighbors generation We generated 1429 left neighbors We generated 8581 right neighbors We generated 10009 non-negative rho_i D1(743,787) = 0.7826998939226033290 D2(743,787) = 0.002542093454369459332 C1(743,787) = 1.093680980103724511 C2(743,787) = 1.341727395462137971 C3(743,787) = 7.890213405218564617 C4(743,787) = 6296 Sum = 4776.402288961644864 Averaged sum = 0.4772107392308567153 logp*logq = 44.08163010708815871 -------------- ************************************* p = 743; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.515859846678178066 E19 -------------- Searches starting with [743,797]-exponents: u = 1, v = 94 n_start has 276 digits starting right neighbors generation We generated 1000 left neighbors We generated 9010 right neighbors We generated 10009 non-negative rho_i D1(743,797) = 0.6427321299696536534 D2(743,797) = 0.01483501016771283345 C1(743,797) = 0.9093023075676061069 C2(743,797) = 1.396171851395034396 C3(743,797) = 5.569967508376166715 C4(743,797) = 6376 Sum = 3887.241444663280629 Averaged sum = 0.3883746073197402966 logp*logq = 44.16509960041260994 -------------- ************************************* p = 743; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.673261390417987316 E19 -------------- Searches starting with [743,809]-exponents: u = 1, v = 77 n_start has 227 digits starting right neighbors generation We generated 674 left neighbors We generated 9336 right neighbors We generated 10009 non-negative rho_i D1(743,809) = 0.5730377165974056035 D2(743,809) = 0.01316132845986270572 C1(743,809) = 0.8207326290593268529 C2(743,809) = 1.440035369709976780 C3(743,809) = 4.711982099784094633 C4(743,809) = 6472 Sum = 4385.386217432384992 Averaged sum = 0.4381442918805460078 logp*logq = 44.26389141722402617 -------------- ************************************* p = 743; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.700797680633661450 E19 -------------- Searches starting with [743,811]-exponents: u = 1, v = 75 n_start has 222 digits **************************************************** Computing .... elapsed time = 51 minutes **************************************************** starting right neighbors generation We generated 656 left neighbors We generated 9354 right neighbors We generated 10009 non-negative rho_i D1(743,811) = 0.8993904038114608785 D2(743,811) = 0.01243918749486710252 C1(743,811) = 1.237068503420675175 C2(743,811) = 1.446387579614905985 C3(743,811) = 10.34432037362468023 C4(743,811) = 6488 Sum = 3991.626848751813233 Averaged sum = 0.3988037614898404669 logp*logq = 44.28021413180008141 -------------- ************************************* p = 743; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.844322148425370822 E19 -------------- Searches starting with [743,821]-exponents: u = 1, v = 66 n_start has 196 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(743,821) = 0.6237409269566315758 D2(743,821) = 0.02496675987158745721 C1(743,821) = 0.9039199292264450553 C2(743,821) = 1.490444116916888824 C3(743,821) = 5.513632060281685865 C4(743,821) = 6568 Sum = 3389.049511290292337 Averaged sum = 0.3386002109391839681 logp*logq = 44.36122857764428571 -------------- ************************************* p = 743; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.874226867946003848 E19 -------------- Searches starting with [743,823]-exponents: u = 1, v = 64 n_start has 190 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(743,823) = 0.5429349529709566126 D2(743,823) = 0.004571430831765543052 C1(743,823) = 0.7876890698219438402 C2(743,823) = 1.478697282349700974 C3(743,823) = 4.426900342849911547 C4(743,823) = 6584 Sum = 4289.466898812254716 Averaged sum = 0.4285609849947302144 logp*logq = 44.37731300417946137 -------------- ************************************* p = 743; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.935272531453372021 E19 -------------- Searches starting with [743,827]-exponents: u = 1, v = 61 n_start has 181 digits starting right neighbors generation We generated 419 left neighbors We generated 9591 right neighbors We generated 10009 non-negative rho_i D1(743,827) = 0.5786241064446531812 D2(743,827) = 0.02835185328217176458 C1(743,827) = 0.8423956292816536916 C2(743,827) = 1.511838942667960659 C3(743,827) = 4.908769584578993619 C4(743,827) = 6616 Sum = 4279.495923923299280 Averaged sum = 0.4275647840866519413 logp*logq = 44.40936492657950855 -------------- ************************************* p = 743; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.966422756234633754 E19 -------------- Searches starting with [743,829]-exponents: u = 1, v = 60 n_start has 178 digits starting right neighbors generation We generated 412 left neighbors We generated 9598 right neighbors We generated 10009 non-negative rho_i D1(743,829) = 0.5364027404374154925 D2(743,829) = 0.03809032426274267817 C1(743,829) = 0.7828520236648588651 C2(743,829) = 1.526416753080570827 C3(743,829) = 4.386641791811779968 C4(743,829) = 6632 Sum = 3928.095541113187865 Averaged sum = 0.3924563434022567554 logp*logq = 44.42533279918546038 -------------- ************************************* p = 743; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.128637114460414092 E19 -------------- Searches starting with [743,839]-exponents: u = 1, v = 54 n_start has 161 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(743,839) = 0.5653266186359525098 D2(743,839) = 0.01288820350225899969 C1(743,839) = 0.7920426799350910769 C2(743,839) = 1.532472932978993803 C3(743,839) = 4.463451106900274109 C4(743,839) = 6712 Sum = 3990.711184457391966 Averaged sum = 0.3987122773960827221 logp*logq = 44.50459868944931103 -------------- ************************************* p = 743; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.374724143101506472 E19 -------------- Searches starting with [743,853]-exponents: u = 1, v = 47 n_start has 141 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(743,853) = 0.7101818015173132949 D2(743,853) = 0.006831541445207422989 C1(743,853) = 1.054830942109363395 C2(743,853) = 1.563680054836214018 C3(743,853) = 7.331994241450497344 C4(743,853) = 6824 Sum = 4445.493201141229152 Averaged sum = 0.4441495854871844492 logp*logq = 44.61399804735445729 -------------- ************************************* p = 743; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.449315431587942144 E19 -------------- Searches starting with [743,857]-exponents: u = 1, v = 46 n_start has 138 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(743,857) = 0.6870353976143922174 D2(743,857) = 0.02864050973371422596 C1(743,857) = 0.9488678120055366048 C2(743,857) = 1.592612768272705211 C3(743,857) = 6.002140476143806109 C4(743,857) = 6856 Sum = 3808.159382625401516 Averaged sum = 0.3804735121016486678 logp*logq = 44.64492533672127885 -------------- ************************************* p = 743; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.487350591931526071 E19 -------------- Searches starting with [743,859]-exponents: u = 1, v = 45 n_start has 135 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(743,859) = 0.6095670283853731149 D2(743,859) = 0.01099471121447816606 C1(743,859) = 0.8635693236837686068 C2(743,859) = 1.581986777662826949 C3(743,859) = 5.109051851155237893 C4(743,859) = 6872 Sum = 4213.073915339958085 Averaged sum = 0.4209285558337454376 logp*logq = 44.66033489158847668 -------------- ************************************* p = 743; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.564926676643338493 E19 -------------- Searches starting with [743,863]-exponents: u = 1, v = 44 n_start has 133 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(743,863) = 0.6597433933743719235 D2(743,863) = 0.02640271197198172127 C1(743,863) = 0.9870840633413694416 C2(743,863) = 1.604958703878093779 C3(743,863) = 6.451384527799192679 C4(743,863) = 6904 Sum = 2760.810246073901436 Averaged sum = 0.2758327751097913313 logp*logq = 44.69104665899704880 -------------- ************************************* p = 743; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.852829202732315504 E19 -------------- Searches starting with [743,877]-exponents: u = 1, v = 39 n_start has 118 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(743,877) = 0.6814436419455075238 D2(743,877) = 0.01930217456904313025 C1(743,877) = 1.028019675353543007 C2(743,877) = 1.630359042611479553 C3(743,877) = 6.969959410640093155 C4(743,877) = 7016 Sum = 4172.702750161961866 Averaged sum = 0.4168950694536878675 logp*logq = 44.79742797147702860 -------------- ************************************* p = 743; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.939954367267746758 E19 -------------- Searches starting with [743,881]-exponents: u = 1, v = 38 n_start has 115 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(743,881) = 0.6064079348640674724 D2(743,881) = 0.01688351302270952162 C1(743,881) = 0.9168859486004286770 C2(743,881) = 1.636872491038724442 C3(743,881) = 5.650321010808594998 C4(743,881) = 7048 Sum = 3916.387866515829110 Averaged sum = 0.3912866286857657218 logp*logq = 44.82751082677949993 -------------- ************************************* p = 743; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.984356980675913375 E19 -------------- Searches starting with [743,883]-exponents: u = 1, v = 38 n_start has 115 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(743,883) = 0.5839469275440353127 D2(743,883) = 0.04875280000840241726 C1(743,883) = 0.8151284447285640678 C2(743,883) = 1.669057317651248606 C3(743,883) = 4.662370857508868020 C4(743,883) = 7064 Sum = 3861.272123979928857 Averaged sum = 0.3857800103886431069 logp*logq = 44.84250107366689871 -------------- ************************************* p = 743; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.074871801512476302 E19 -------------- Searches starting with [743,887]-exponents: u = 1, v = 37 n_start has 112 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(743,887) = 0.7164295646483539636 D2(743,887) = 0.04107166242407532824 C1(743,887) = 1.001599629396501900 C2(743,887) = 1.670640024978744611 C3(743,887) = 6.630698495756669802 C4(743,887) = 7096 Sum = 4014.548645596898857 Averaged sum = 0.4010938800676290196 logp*logq = 44.87237997671122507 -------------- ************************************* p = 743; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.563221288518899171 E19 -------------- Searches starting with [743,907]-exponents: u = 1, v = 33 n_start has 101 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(743,907) = 0.6513782115166072240 D2(743,907) = 0.02562770943656043031 C1(743,907) = 1.000263637332543468 C2(743,907) = 1.696724517464627753 C3(743,907) = 6.613988521080212057 C4(743,907) = 7256 Sum = 3260.284908030995632 Averaged sum = 0.3257353290069932693 logp*logq = 45.01978175894064305 -------------- ************************************* p = 743; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.668397838896252977 E19 -------------- Searches starting with [743,911]-exponents: u = 1, v = 32 n_start has 98 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(743,911) = 0.5806504724242471713 D2(743,911) = 0.08359843439675843972 C1(743,911) = 0.8414705205000812592 C2(743,911) = 1.755319460199522147 C3(743,911) = 4.900200261116606654 C4(743,911) = 7288 Sum = 3875.383562505104421 Averaged sum = 0.3871898853536921192 logp*logq = 45.04887177747590553 -------------- ************************************* p = 743; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.886674136432128165 E19 -------------- Searches starting with [743,919]-exponents: u = 1, v = 31 n_start has 95 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(743,919) = 0.7249878249982872901 D2(743,919) = 0.01355803867827356795 C1(743,919) = 1.120088502732641931 C2(743,919) = 1.708493822000193624 C3(743,919) = 8.293721462403167861 C4(743,919) = 7352 Sum = 2337.384249020575595 Averaged sum = 0.2335282494775277844 logp*logq = 45.10667058103431649 -------------- ************************************* p = 743; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.174935219774848093 E19 -------------- Searches starting with [743,929]-exponents: u = 1, v = 29 n_start has 89 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(743,929) = 0.6433000144217635321 D2(743,929) = 0.04677096544435479515 C1(743,929) = 0.8848284156899394065 C2(743,929) = 1.755079755694168417 C3(743,929) = 5.318363543569877979 C4(743,929) = 7432 Sum = 3848.620813518535671 Averaged sum = 0.3845160169366106176 logp*logq = 45.17821560884771572 -------------- ************************************* p = 743; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.418421661957927611 E19 -------------- Searches starting with [743,937]-exponents: u = 1, v = 28 n_start has 87 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(743,937) = 1.051804572214108198 D2(743,937) = 0.04689188848290003544 C1(743,937) = 1.538993641726297646 C2(743,937) = 1.768885464576756572 C3(743,937) = 18.29596027339988527 C4(743,937) = 7496 Sum = 4845.934760079195345 Averaged sum = 0.4841577340472769852 logp*logq = 45.23489930914987166 -------------- ************************************* p = 743; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.544615676270425613 E19 -------------- Searches starting with [743,941]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 83 left neighbors We generated 9927 right neighbors We generated 10009 non-negative rho_i D1(743,941) = 1.039803132147081268 D2(743,941) = 0.09947147302535425119 C1(743,941) = 1.623020284756341751 C2(743,941) = 1.822080301900184981 C3(743,941) = 21.44261887139165545 C4(743,941) = 7528 Sum = 4971.913522318404707 Averaged sum = 0.4967442823777005402 logp*logq = 45.26305993126446514 -------------- ************************************* p = 743; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.739636484375929963 E19 -------------- Searches starting with [743,947]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(743,947) = 1.052069425040520089 D2(743,947) = 0.06233940290851118894 C1(743,947) = 1.472392862423623804 C2(743,947) = 1.799008321266689663 C3(743,947) = 16.13340761782541128 C4(743,947) = 7576 Sum = 4376.689084992506270 Averaged sum = 0.4372753606746434479 logp*logq = 45.30507720859301304 -------------- ************************************* p = 743; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.941714545576680879 E19 -------------- Searches starting with [743,953]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(743,953) = 0.5998593448718228960 D2(743,953) = 0.02280546868257050718 C1(743,953) = 0.8825835347398810195 C2(743,953) = 1.774289187002177750 C3(743,953) = 5.295862046091927790 C4(743,953) = 7624 Sum = 3818.380414744507243 Averaged sum = 0.3814946962478276794 logp*logq = 45.34682911187382651 -------------- ************************************* p = 743; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.441855229759831845 E19 -------------- Searches starting with [743,967]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(743,967) = 0.7295673874319292537 D2(743,967) = 0.06121229227642333413 C1(743,967) = 1.152508444754608453 C2(743,967) = 1.829563837358056475 C3(743,967) = 8.817425769026862136 C4(743,967) = 7736 Sum = 2813.531243043496655 Averaged sum = 0.2811001341835844395 logp*logq = 45.44323680449786376 -------------- ************************************* p = 743; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.592401555764145880 E19 -------------- Searches starting with [743,971]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(743,971) = 0.5747541004382795935 D2(743,971) = 0.1087724969619021786 C1(743,971) = 0.8246605956935821062 C2(743,971) = 1.877729585315791507 C3(743,971) = 4.747068903651162331 C4(743,971) = 7768 Sum = 3873.217492659092703 Averaged sum = 0.3869734731400831954 logp*logq = 45.47052557821093489 -------------- ************************************* p = 743; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.824842227542760825 E19 -------------- Searches starting with [743,977]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(743,977) = 0.7729566436536259072 D2(743,977) = 0.04466511109957433755 C1(743,977) = 1.055304622467250845 C2(743,977) = 1.830196840634506653 C3(743,977) = 7.338556634111135371 C4(743,977) = 7816 Sum = 3744.236332717914776 Averaged sum = 0.3740869550122804252 logp*logq = 45.51124868057143177 -------------- ************************************* p = 743; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.065431521724272926 E19 -------------- Searches starting with [743,983]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(743,983) = 0.5564693733598439981 D2(743,983) = 0.1111094035151817565 C1(743,983) = 0.7748741257359025783 C2(743,983) = 1.897544358220138751 C3(743,983) = 4.321040367144162719 C4(743,983) = 7864 Sum = 4041.468596729774148 Averaged sum = 0.4037834545638699318 logp*logq = 45.55172245625299247 -------------- ************************************* p = 743; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.399296860898109745 E19 -------------- Searches starting with [743,991]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(743,991) = 0.8449919127816749176 D2(743,991) = 0.05655548445982314325 C1(743,991) = 1.347163044481333262 C2(743,991) = 1.860898960371526121 C3(743,991) = 12.73522729189466232 C4(743,991) = 7928 Sum = 3962.720486254936814 Averaged sum = 0.3959157244734675606 logp*logq = 45.60530488573216938 -------------- ************************************* p = 743; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.659815875586237757 E19 -------------- Searches starting with [743,997]-exponents: u = 1, v = 22 n_start has 69 digits starting right neighbors generation We generated 68 left neighbors We generated 9942 right neighbors We generated 10009 non-negative rho_i D1(743,997) = 0.7837698009114216679 D2(743,997) = 0.1216637378731565639 C1(743,997) = 1.168247882151763874 C2(743,997) = 1.926903014839275856 C3(743,997) = 9.083475339169572315 C4(743,997) = 7976 Sum = 3951.393069898384196 Averaged sum = 0.3947840013885886898 logp*logq = 45.64520860474862683 -------------- ************************************* p = 751; q = 757; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.157875137126302329 E19 -------------- Searches starting with [751,757]-exponents: u = 1, v = 832 n_start has 2399 digits --- performed 5000 steps in the continued fraction search [751,757]-exponents: u = 23, v = 804 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(751,757) = 0.8463414352838116440 D2(751,757) = 0.2770915509701552742 C1(751,757) = 1.084235523373248930 C2(751,757) = 1.289504074884606365 C3(751,757) = 7.764318898054603052 C4(751,757) = 6056 Sum = 5607.450458792226862 Averaged sum = 0.5608011259918218684 logp*logq = 43.89570331390819530 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(751,757) = 0.8463414352838116440 D2(751,757) = 0.2770915509701552742 C1(751,757) = 1.084235523373248930 C2(751,757) = 1.289504074884606365 C3(751,757) = 7.764318898054603052 C4(751,757) = 6056 Sum = 5607.450458792226862 Averaged sum = 0.5608011259918218684 logp*logq = 43.89570331390819530 -------------- ************************************* p = 751; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.198993010085355612 E19 -------------- Searches starting with [751,761]-exponents: u = 1, v = 500 n_start has 1444 digits --- performed 5000 steps in the continued fraction search [751,761]-exponents: u = 45, v = 446 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(751,761) = 0.6022126091623271774 D2(751,761) = 0.1511078658606780178 C1(751,761) = 0.7853298148207073852 C2(751,761) = 1.231163710957593104 C3(751,761) = 4.412824591983269599 C4(751,761) = 6088 Sum = 5333.751534117556403 Averaged sum = 0.5334284962613817784 logp*logq = 43.93059881312822574 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(751,761) = 0.6022126091623271774 D2(751,761) = 0.1511078658606780178 C1(751,761) = 0.7853298148207073852 C2(751,761) = 1.231163710957593104 C3(751,761) = 4.412824591983269599 C4(751,761) = 6088 Sum = 5333.751534117556403 Averaged sum = 0.5334284962613817784 logp*logq = 43.93059881312822574 -------------- ************************************* p = 751; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.284958131189716918 E19 -------------- Searches starting with [751,769]-exponents: u = 1, v = 279 n_start has 809 digits --- performed 5000 steps in the continued fraction search [751,769]-exponents: u = 131, v = 131 --- starting right neighbors generation We generated 7994 left neighbors We generated 2016 right neighbors We generated 10009 non-negative rho_i D1(751,769) = 0.6047188467451901783 D2(751,769) = 0.004555414382963820851 C1(751,769) = 0.8074561252947368529 C2(751,769) = 1.180474393273751970 C3(751,769) = 4.601307563920526300 C4(751,769) = 6152 Sum = 4984.924136845909288 Averaged sum = 0.4980441739280556786 logp*logq = 43.99984290197148458 -------------- ************************************* p = 751; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.329866433483656188 E19 -------------- Searches starting with [751,773]-exponents: u = 1, v = 229 n_start has 665 digits --- performed 5000 steps in the continued fraction search [751,773]-exponents: u = 193, v = 15 --- starting right neighbors generation We generated 5474 left neighbors We generated 4536 right neighbors We generated 10009 non-negative rho_i D1(751,773) = 0.6362359455490643001 D2(751,773) = 0.005499022241124346421 C1(751,773) = 0.8573954747795073325 C2(751,773) = 1.214177222994012160 C3(751,773) = 5.056837318784994397 C4(751,773) = 6184 Sum = 4822.070606154966608 Averaged sum = 0.4817734644974489567 logp*logq = 44.03419527812536862 -------------- ************************************* p = 751; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.497695276892433018 E19 -------------- Searches starting with [751,787]-exponents: u = 1, v = 141 n_start has 412 digits starting right neighbors generation We generated 2167 left neighbors We generated 7843 right neighbors We generated 10009 non-negative rho_i D1(751,787) = 0.5743040243256817260 D2(751,787) = 0.005452821409799085011 C1(751,787) = 0.7933624822834275975 C2(751,787) = 1.303029951808817953 C3(751,787) = 4.480341156285938999 C4(751,787) = 6296 Sum = 4363.371647104135901 Averaged sum = 0.4359448143774738636 logp*logq = 44.15304421132425042 -------------- ************************************* p = 751; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.628292894246990366 E19 -------------- Searches starting with [751,797]-exponents: u = 1, v = 111 n_start has 325 digits starting right neighbors generation We generated 1390 left neighbors We generated 8620 right neighbors We generated 10009 non-negative rho_i D1(751,797) = 0.5719836593479706203 D2(751,797) = 0.005161137971772834094 C1(751,797) = 0.8011311290296015910 C2(751,797) = 1.351983984265279999 C3(751,797) = 4.546621033622237977 C4(751,797) = 6376 Sum = 4090.225053592319669 Averaged sum = 0.4086547161147287110 logp*logq = 44.23664892875639289 -------------- ************************************* p = 751; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.797656775776237665 E19 -------------- Searches starting with [751,809]-exponents: u = 1, v = 89 n_start has 262 digits starting right neighbors generation We generated 945 left neighbors We generated 9065 right neighbors We generated 10009 non-negative rho_i D1(751,809) = 1.222406601575510207 D2(751,809) = 0.007473006257302737614 C1(751,809) = 1.735922751637053101 C2(751,809) = 1.404024414026602162 C3(751,809) = 26.61375299156624980 C4(751,809) = 6472 Sum = 3865.362219030316362 Averaged sum = 0.3861886521161271217 logp*logq = 44.33560079248726976 -------------- ************************************* p = 751; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.827288517530784586 E19 -------------- Searches starting with [751,811]-exponents: u = 1, v = 86 n_start has 254 digits starting right neighbors generation We generated 834 left neighbors We generated 9176 right neighbors We generated 10009 non-negative rho_i D1(751,811) = 0.7052545272299947108 D2(751,811) = 0.02218283906127498542 C1(751,811) = 1.003772508120989470 C2(751,811) = 1.424695981521449024 C3(751,811) = 6.668792990397586799 C4(751,811) = 6488 Sum = 3769.933847978307439 Averaged sum = 0.3766543958415733279 logp*logq = 44.35194995055094827 -------------- ************************************* p = 751; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.981747193051580016 E19 -------------- Searches starting with [751,821]-exponents: u = 1, v = 74 n_start has 219 digits starting right neighbors generation We generated 647 left neighbors We generated 9363 right neighbors We generated 10009 non-negative rho_i D1(751,821) = 0.5814012582586060369 D2(751,821) = 0.01426227206275890979 C1(751,821) = 0.8359569001615307941 C2(751,821) = 1.453265693885297799 C3(751,821) = 4.856003379930515016 C4(751,821) = 6568 Sum = 3550.484258471952976 Averaged sum = 0.3547291695945601934 logp*logq = 44.43309564322214360 -------------- ************************************* p = 751; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.013932665100002220 E19 -------------- Searches starting with [751,823]-exponents: u = 1, v = 72 n_start has 213 digits starting right neighbors generation We generated 629 left neighbors We generated 9381 right neighbors We generated 10009 non-negative rho_i D1(751,823) = 0.5661916917556386648 D2(751,823) = 0.007497599649526579022 C1(751,823) = 0.8156502593724023728 C2(751,823) = 1.453989955380238927 C3(751,823) = 4.673134056278870945 C4(751,823) = 6584 Sum = 3510.350531594209950 Averaged sum = 0.3507194056942961284 logp*logq = 44.44920612720824315 -------------- ************************************* p = 751; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.079636685846807638 E19 -------------- Searches starting with [751,827]-exponents: u = 1, v = 68 n_start has 202 digits starting right neighbors generation We generated 531 left neighbors We generated 9479 right neighbors We generated 10009 non-negative rho_i D1(751,827) = 0.5680565584334711532 D2(751,827) = 0.01648490779524797622 C1(751,827) = 0.8208052646842069083 C2(751,827) = 1.474939516873008444 C3(751,827) = 4.718894220620767558 C4(751,827) = 6616 Sum = 4320.365730280808141 Averaged sum = 0.4316480897473082367 logp*logq = 44.48130997507750922 -------------- ************************************* p = 751; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.113165265864730000 E19 -------------- Searches starting with [751,829]-exponents: u = 1, v = 67 n_start has 199 digits starting right neighbors generation We generated 584 left neighbors We generated 9426 right neighbors We generated 10009 non-negative rho_i D1(751,829) = 1.160256197796639462 D2(751,829) = 0.0002039909354301291371 C1(751,829) = 1.680042466520076526 C2(751,829) = 1.466944941435348184 C3(751,829) = 23.94590144889685192 C4(751,829) = 6632 Sum = 3474.313155856443260 Averaged sum = 0.3471189085679331862 logp*logq = 44.49730371631209253 -------------- ************************************* p = 751; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.287778487168888303 E19 -------------- Searches starting with [751,839]-exponents: u = 1, v = 59 n_start has 176 digits starting right neighbors generation We generated 405 left neighbors We generated 9605 right neighbors We generated 10009 non-negative rho_i D1(751,839) = 0.6002548160171431816 D2(751,839) = 0.01927728220862359460 C1(751,839) = 0.8762706528130251609 C2(751,839) = 1.513819378941317473 C3(751,839) = 5.240522180297571447 C4(751,839) = 6712 Sum = 4302.042969484141669 Averaged sum = 0.4298174612333041931 logp*logq = 44.57669802066897734 -------------- ************************************* p = 751; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.552715879707414921 E19 -------------- Searches starting with [751,853]-exponents: u = 1, v = 51 n_start has 153 digits starting right neighbors generation We generated 302 left neighbors We generated 9708 right neighbors We generated 10009 non-negative rho_i D1(751,853) = 1.179117482521157232 D2(751,853) = 0.02052997949302879040 C1(751,853) = 1.740510670515075916 C2(751,853) = 1.553335154148790524 C3(751,853) = 26.84556660607141657 C4(751,853) = 6824 Sum = 6158.063278651937065 Averaged sum = 0.6152526005247214571 logp*logq = 44.68627461015856864 -------------- ************************************* p = 751; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.633029899571235594 E19 -------------- Searches starting with [751,857]-exponents: u = 1, v = 50 n_start has 150 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(751,857) = 0.6720197729217097843 D2(751,857) = 0.004646632852089811687 C1(751,857) = 0.9951121973422625122 C2(751,857) = 1.549743898951941410 C3(751,857) = 6.560509257129814401 C4(751,857) = 6856 Sum = 2965.210349050393530 Averaged sum = 0.2962544059396936287 logp*logq = 44.71725200304155365 -------------- ************************************* p = 751; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.673984695331062772 E19 -------------- Searches starting with [751,859]-exponents: u = 1, v = 49 n_start has 147 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(751,859) = 0.5621550605905517549 D2(751,859) = 0.04408091443267074581 C1(751,859) = 0.8337988839596264476 C2(751,859) = 1.589492641616561014 C3(751,859) = 4.836234563454099568 C4(751,859) = 6872 Sum = 3657.582163102632003 Averaged sum = 0.3654293299133411932 logp*logq = 44.73268652203904441 -------------- ************************************* p = 751; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.757518764235616499 E19 -------------- Searches starting with [751,863]-exponents: u = 1, v = 47 n_start has 141 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(751,863) = 0.6191903789379967651 D2(751,863) = 0.01777052999441188678 C1(751,863) = 0.8540524815218375277 C2(751,863) = 1.576200201240795017 C3(751,863) = 5.024982474290115149 C4(751,863) = 6904 Sum = 4172.913498514189546 Averaged sum = 0.4169161253386142019 logp*logq = 44.76344804380909686 -------------- ************************************* p = 751; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.067567590108821629 E19 -------------- Searches starting with [751,877]-exponents: u = 1, v = 42 n_start has 127 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(751,877) = 0.6625049487977143521 D2(751,877) = 0.04625767292814612892 C1(751,877) = 0.9193851202128089800 C2(751,877) = 1.634192286648526080 C3(751,877) = 5.685509556901352413 C4(751,877) = 7016 Sum = 4037.575932459635528 Averaged sum = 0.4033945381616180965 logp*logq = 44.87000169851235111 -------------- ************************************* p = 751; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.161404915867260885 E19 -------------- Searches starting with [751,881]-exponents: u = 1, v = 41 n_start has 124 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(751,881) = 0.7558928060892115108 D2(751,881) = 0.05392077346073641460 C1(751,881) = 1.077518316456038792 C2(751,881) = 1.649912714357136980 C3(751,881) = 7.666354051722024846 C4(751,881) = 7048 Sum = 4309.903405464979049 Averaged sum = 0.4306027980282724597 logp*logq = 44.90013328931210489 -------------- ************************************* p = 751; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.209230067934465299 E19 -------------- Searches starting with [751,883]-exponents: u = 1, v = 40 n_start has 121 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(751,883) = 0.7193753717510363002 D2(751,883) = 0.02347971685138641200 C1(751,883) = 1.083195861518263769 C2(751,883) = 1.627488523809769618 C3(751,883) = 7.749074815629395778 C4(751,883) = 7064 Sum = 4321.505199421075856 Averaged sum = 0.4317619342013263919 logp*logq = 44.91514782103314392 -------------- ************************************* p = 751; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.306725293222211443 E19 -------------- Searches starting with [751,887]-exponents: u = 1, v = 39 n_start has 118 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(751,887) = 0.5891372185988222324 D2(751,887) = 0.02390226145423868658 C1(751,887) = 0.8890238479084386874 C2(751,887) = 1.636531284103547833 C3(751,887) = 5.368393000725799219 C4(751,887) = 7096 Sum = 3926.266459262998665 Averaged sum = 0.3922735996865819428 logp*logq = 44.94507512916347286 -------------- ************************************* p = 751; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.832812782553329716 E19 -------------- Searches starting with [751,907]-exponents: u = 1, v = 35 n_start has 107 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(751,907) = 0.7584420826161708914 D2(751,907) = 0.04394391623012937583 C1(751,907) = 1.158527901415561397 C2(751,907) = 1.695009681681338602 C3(751,907) = 8.934982511372532454 C4(751,907) = 7256 Sum = 2403.707091737786661 Averaged sum = 0.2401545700607240144 logp*logq = 45.09271570851121756 -------------- ************************************* p = 751; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.946132902014360735 E19 -------------- Searches starting with [751,911]-exponents: u = 1, v = 34 n_start has 104 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(751,911) = 0.5384325380753351028 D2(751,911) = 0.02273327045229501228 C1(751,911) = 0.7566841635731707365 C2(751,911) = 1.684214250820103204 C3(751,911) = 4.180228402880419681 C4(751,911) = 7288 Sum = 3913.938613431059549 Averaged sum = 0.3910419236118552851 logp*logq = 45.12185285410622944 -------------- ************************************* p = 751; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.181326443935552389 E19 -------------- Searches starting with [751,919]-exponents: u = 1, v = 32 n_start has 98 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(751,919) = 0.5875134936535083128 D2(751,919) = 0.05171123375749867079 C1(751,919) = 0.9024504555134688791 C2(751,919) = 1.724672453697013102 C3(751,919) = 5.506388855826406000 C4(751,919) = 7352 Sum = 3961.519758441919944 Averaged sum = 0.3957957596604975466 logp*logq = 45.17974529416973366 -------------- ************************************* p = 751; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.491961477624632772 E19 -------------- Searches starting with [751,929]-exponents: u = 1, v = 31 n_start has 95 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(751,929) = 0.6676251141506516048 D2(751,929) = 0.01058776365703497476 C1(751,929) = 1.031779906036202020 C2(751,929) = 1.707072111151050260 C3(751,929) = 7.031369409961339785 C4(751,929) = 7432 Sum = 3129.599481413346654 Averaged sum = 0.3126785374576228049 logp*logq = 45.25140622795261333 -------------- ************************************* p = 751; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.754373785681205003 E19 -------------- Searches starting with [751,937]-exponents: u = 1, v = 29 n_start has 90 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(751,937) = 0.7645317641293005840 D2(751,937) = 0.01814845608764508960 C1(751,937) = 1.185383730207213460 C2(751,937) = 1.727689762976540210 C3(751,937) = 9.400284650172495274 C4(751,937) = 7496 Sum = 4087.265000469851006 Averaged sum = 0.4083589769677141579 logp*logq = 45.30818175824544865 -------------- ************************************* p = 751; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.890385989704103672 E19 -------------- Searches starting with [751,941]-exponents: u = 1, v = 29 n_start has 90 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(751,941) = 0.6359656505601930135 D2(751,941) = 0.06774510748755336762 C1(751,941) = 0.9024732275888056133 C2(751,941) = 1.777898703313871484 C3(751,941) = 5.506625890203369513 C4(751,941) = 7528 Sum = 4134.939712301099663 Averaged sum = 0.4131221612849535081 logp*logq = 45.33638800175830165 -------------- ************************************* p = 751; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.100591849738485831 E19 -------------- Searches starting with [751,947]-exponents: u = 1, v = 28 n_start has 87 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(751,947) = 0.6168148103837508704 D2(751,947) = 0.04115401189635104541 C1(751,947) = 0.9027687730300465102 C2(751,947) = 1.764680798071977373 C3(751,947) = 5.509703146407590145 C4(751,947) = 7576 Sum = 3921.500709963734774 Averaged sum = 0.3917974532884139049 logp*logq = 45.37847334885231803 -------------- ************************************* p = 751; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.318419246556550321 E19 -------------- Searches starting with [751,953]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(751,953) = 0.8024779938354324012 D2(751,953) = 0.01063137574398043826 C1(751,953) = 1.107706827305158062 C2(751,953) = 1.748217012283640729 C3(751,953) = 8.116562479029081705 C4(751,953) = 7624 Sum = 4007.817240208594240 Averaged sum = 0.4004213448105299470 logp*logq = 45.42029289198142450 -------------- ************************************* p = 751; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.857600227698108089 E19 -------------- Searches starting with [751,967]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(751,967) = 0.6945058125720108404 D2(751,967) = 0.05874617767440685803 C1(751,967) = 0.9617400683655154019 C2(751,967) = 1.812357636157723279 C3(751,967) = 6.159432451781620227 C4(751,967) = 7736 Sum = 3819.964030500627173 Averaged sum = 0.3816529154261791561 logp*logq = 45.51685676914295476 -------------- ************************************* p = 751; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.019914068818147154 E19 -------------- Searches starting with [751,971]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(751,971) = 0.5745036008253480701 D2(751,971) = 0.1078071604323006217 C1(751,971) = 0.8069101537585449708 C2(751,971) = 1.862020848152486257 C3(751,971) = 4.596561214841468065 C4(751,971) = 7768 Sum = 3940.861006750490796 Averaged sum = 0.3937317421071526422 logp*logq = 45.54418975182301932 -------------- ************************************* p = 751; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.270537398389298198 E19 -------------- Searches starting with [751,977]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(751,977) = 0.8266126731218081613 D2(751,977) = 0.05180287057179352964 C1(751,977) = 1.135646944382056940 C2(751,977) = 1.821663579659885717 C3(751,977) = 8.556764523291891664 C4(751,977) = 7816 Sum = 3869.405044876305091 Averaged sum = 0.3865925711735742922 logp*logq = 45.58497882733082778 -------------- ************************************* p = 751; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.529963837382837773 E19 -------------- Searches starting with [751,983]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(751,983) = 0.7855059755456138615 D2(751,983) = 0.1228000017770737179 C1(751,983) = 1.091532092177538977 C2(751,983) = 1.893558760061294489 C3(751,983) = 7.872152235802892804 C4(751,983) = 7864 Sum = 3926.315628138431972 Averaged sum = 0.3922785121529055822 logp*logq = 45.62551817223994040 -------------- ************************************* p = 751; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.889996938136549921 E19 -------------- Searches starting with [751,991]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 71 left neighbors We generated 9939 right neighbors We generated 10009 non-negative rho_i D1(751,991) = 0.7304351327276698377 D2(751,991) = 0.07589648064641675176 C1(751,991) = 0.9912831713353239819 C2(751,991) = 1.863527137598569808 C3(751,991) = 6.513195482585241396 C4(751,991) = 7928 Sum = 3687.247531120297939 Averaged sum = 0.3683931992327203455 logp*logq = 45.67918740751996344 -------------- ************************************* p = 751; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.170956188628026345 E19 -------------- Searches starting with [751,997]-exponents: u = 1, v = 23 n_start has 72 digits starting right neighbors generation We generated 93 left neighbors We generated 9917 right neighbors We generated 10009 non-negative rho_i D1(751,997) = 0.5645855625464208779 D2(751,997) = 0.008936070751028184834 C1(751,997) = 0.8133365203054584002 C2(751,997) = 1.814175347717147477 C3(751,997) = 4.652739900501365768 C4(751,997) = 7976 Sum = 4007.046961105201694 Averaged sum = 0.4003443861629734933 logp*logq = 45.71915577224807734 -------------- ************************************* p = 757; q = 761; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.263995601321828798 E19 -------------- Searches starting with [757,761]-exponents: u = 1, v = 1257 n_start has 3625 digits --- performed 5000 steps in the continued fraction search [757,761]-exponents: u = 1232, v = 23 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(757,761) = 0.5901132999244712755 D2(757,761) = 0.3649357582550727710 C1(757,761) = 0.7465040833925841145 C2(757,761) = 1.330591016177050079 C3(757,761) = 4.104233543868581920 C4(757,761) = 6088 Sum = 5807.077819375865747 Averaged sum = 0.5807658585234389185 logp*logq = 43.98339458263857098 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(757,761) = 0.5901132999244712755 D2(757,761) = 0.3649357582550727710 C1(757,761) = 0.7465040833925841145 C2(757,761) = 1.330591016177050079 C3(757,761) = 4.104233543868581920 C4(757,761) = 6088 Sum = 5807.077819375865747 Averaged sum = 0.5807658585234389185 logp*logq = 43.98339458263857098 -------------- ************************************* p = 757; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.354733995943434658 E19 -------------- Searches starting with [757,769]-exponents: u = 1, v = 421 n_start has 1218 digits --- performed 5000 steps in the continued fraction search [757,769]-exponents: u = 14, v = 396 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(757,769) = 0.6079453767505648943 D2(757,769) = 0.1020795516424638157 C1(757,769) = 0.7981742498838480838 C2(757,769) = 1.209207309290133626 C3(757,769) = 4.525615478122139485 C4(757,769) = 6152 Sum = 5232.196944930741479 Averaged sum = 0.5232720216952436722 logp*logq = 44.05272188898974665 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(757,769) = 0.6079453767505648943 D2(757,769) = 0.1020795516424638157 C1(757,769) = 0.7981742498838480838 C2(757,769) = 1.209207309290133626 C3(757,769) = 4.525615478122139485 C4(757,769) = 6152 Sum = 5232.196944930741479 Averaged sum = 0.5232720216952436722 logp*logq = 44.05272188898974665 -------------- ************************************* p = 757; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.402138796894165922 E19 -------------- Searches starting with [757,773]-exponents: u = 1, v = 316 n_start has 916 digits --- performed 5000 steps in the continued fraction search [757,773]-exponents: u = 64, v = 237 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(757,773) = 0.5112877380098477235 D2(757,773) = 0.001027957289325636574 C1(757,773) = 0.6824038753054185179 C2(757,773) = 1.158258237130920559 C3(757,773) = 3.635595449368310807 C4(757,773) = 6184 Sum = 5062.022679967079188 Averaged sum = 0.5062528932860365225 logp*logq = 44.08711554981041314 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(757,773) = 0.5112877380098477235 D2(757,773) = 0.001027957289325636574 C1(757,773) = 0.6824038753054185179 C2(757,773) = 1.158258237130920559 C3(757,773) = 3.635595449368310807 C4(757,773) = 6184 Sum = 5062.022679967079188 Averaged sum = 0.5062528932860365225 logp*logq = 44.08711554981041314 -------------- ************************************* p = 757; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.579313957616837215 E19 -------------- Searches starting with [757,787]-exponents: u = 1, v = 170 n_start has 496 digits starting right neighbors generation We generated 3096 left neighbors We generated 6914 right neighbors We generated 10009 non-negative rho_i D1(757,787) = 0.5814784451228639238 D2(757,787) = 0.002938879783421938673 C1(757,787) = 0.7951496937846969133 C2(757,787) = 1.265631183981344743 C3(757,787) = 4.499798467674431427 C4(757,787) = 6296 Sum = 4694.209804376301711 Averaged sum = 0.4689988814443302739 logp*logq = 44.20610731559189665 -------------- ************************************* p = 757; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.717201176063228421 E19 -------------- Searches starting with [757,797]-exponents: u = 1, v = 128 n_start has 375 digits starting right neighbors generation We generated 1728 left neighbors We generated 8282 right neighbors We generated 10009 non-negative rho_i D1(757,797) = 0.6412048293567661939 D2(757,797) = 0.01127096024683864666 C1(757,797) = 0.8903750332105117905 C2(757,797) = 1.328047154218998489 C3(757,797) = 5.387881012198779842 C4(757,797) = 6376 Sum = 4609.287830253566522 Averaged sum = 0.4605143201372331424 logp*logq = 44.28981250912750178 -------------- ************************************* p = 757; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.896038152518971187 E19 -------------- Searches starting with [757,809]-exponents: u = 1, v = 99 n_start has 291 digits starting right neighbors generation We generated 1055 left neighbors We generated 8955 right neighbors We generated 10009 non-negative rho_i D1(757,809) = 0.6527472640850715606 D2(757,809) = 0.01373459530338996369 C1(757,809) = 0.9202759587687292359 C2(757,809) = 1.384589609852374674 C3(757,809) = 5.701390184139375896 C4(757,809) = 6472 Sum = 4567.895067626785091 Averaged sum = 0.4563787658733924559 logp*logq = 44.38888329315382870 -------------- ************************************* p = 757; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.927329435910347442 E19 -------------- Searches starting with [757,811]-exponents: u = 1, v = 96 n_start has 283 digits starting right neighbors generation We generated 1022 left neighbors We generated 8988 right neighbors We generated 10009 non-negative rho_i D1(757,811) = 0.6535807447112954458 D2(757,811) = 0.01894535771607009088 C1(757,811) = 0.9238185376598365720 C2(757,811) = 1.397407105088695811 C3(757,811) = 5.739722453199523053 C4(757,811) = 6488 Sum = 3908.809041992300306 Averaged sum = 0.3905294277142871722 logp*logq = 44.40525209962668301 -------------- ************************************* p = 757; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.090448311867086921 E19 -------------- Searches starting with [757,821]-exponents: u = 1, v = 81 n_start has 239 digits starting right neighbors generation We generated 710 left neighbors We generated 9300 right neighbors We generated 10009 non-negative rho_i D1(757,821) = 0.5778787964796063594 D2(757,821) = 0.02326732811699089281 C1(757,821) = 0.8252429588059432576 C2(757,821) = 1.439235428910873256 C3(757,821) = 4.763364685337014365 C4(757,821) = 6568 Sum = 4405.545615104644370 Averaged sum = 0.4401584189334243551 logp*logq = 44.48649531314673472 -------------- ************************************* p = 757; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.124440326276042147 E19 -------------- Searches starting with [757,823]-exponents: u = 1, v = 79 n_start has 234 digits starting right neighbors generation We generated 692 left neighbors We generated 9318 right neighbors We generated 10009 non-negative rho_i D1(757,823) = 0.5826885107339860177 D2(757,823) = 0.02788856714892062229 C1(757,823) = 0.8342096942942497267 C2(757,823) = 1.450444242437157847 C3(757,823) = 4.844843502121702222 C4(757,823) = 6584 Sum = 3639.550495962458165 Averaged sum = 0.3636277845901147133 logp*logq = 44.50262515870363481 -------------- ************************************* p = 757; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.193834271981673766 E19 -------------- Searches starting with [757,827]-exponents: u = 1, v = 74 n_start has 219 digits starting right neighbors generation We generated 579 left neighbors We generated 9431 right neighbors We generated 10009 non-negative rho_i D1(757,827) = 0.8976662210237184042 D2(757,827) = 0.02648016008556174190 C1(757,827) = 1.289734581426101651 C2(757,827) = 1.462936667549560026 C3(757,827) = 11.46781318805133154 C4(757,827) = 6616 Sum = 5193.865156621114401 Averaged sum = 0.5189194881228009193 logp*logq = 44.53476758895962661 -------------- ************************************* p = 757; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.229246831221277031 E19 -------------- Searches starting with [757,829]-exponents: u = 1, v = 72 n_start has 214 digits starting right neighbors generation We generated 563 left neighbors We generated 9447 right neighbors We generated 10009 non-negative rho_i D1(757,829) = 0.9274298012889008498 D2(757,829) = 0.02043633082219512176 C1(757,829) = 1.335007650336289449 C2(757,829) = 1.464240367548554158 C3(757,829) = 12.49312714191855569 C4(757,829) = 6632 Sum = 5290.197245680308678 Averaged sum = 0.5285440349365879386 logp*logq = 44.55078055146363583 -------------- ************************************* p = 757; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.413682295755440014 E19 -------------- Searches starting with [757,839]-exponents: u = 1, v = 64 n_start has 190 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(757,839) = 0.7023035610320048772 D2(757,839) = 0.009842686838602886212 C1(757,839) = 0.9747875753946507927 C2(757,839) = 1.486487644813254265 C3(757,839) = 6.320632216385414834 C4(757,839) = 6712 Sum = 4011.206687967341847 Averaged sum = 0.4007599848104048203 logp*logq = 44.63027027185186341 -------------- ************************************* p = 757; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.693554733556634796 E19 -------------- Searches starting with [757,853]-exponents: u = 1, v = 55 n_start has 165 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(757,853) = 0.7792542712147208223 D2(757,853) = 0.01174386006295684902 C1(757,853) = 1.091047744587625419 C2(757,853) = 1.528256865003503301 C3(757,853) = 7.875261305322069960 C4(757,853) = 6824 Sum = 4320.664380910490082 Averaged sum = 0.4316779279558887083 logp*logq = 44.73997855042648247 -------------- ************************************* p = 757; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.778403285706149538 E19 -------------- Searches starting with [757,857]-exponents: u = 1, v = 53 n_start has 159 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(757,857) = 0.6153203171535285509 D2(757,857) = 0.006766395881746349619 C1(757,857) = 0.8634118675860260336 C2(757,857) = 1.534615100533999309 C3(757,857) = 5.119982957802621396 C4(757,857) = 6856 Sum = 4040.275584441256912 Averaged sum = 0.4036642606095770718 logp*logq = 44.77099317192320978 -------------- ************************************* p = 757; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.821671594184975620 E19 -------------- Searches starting with [757,859]-exponents: u = 1, v = 52 n_start has 156 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(757,859) = 0.6506641436605874689 D2(757,859) = 0.001688093619380957225 C1(757,859) = 0.9140456991911311943 C2(757,859) = 1.535433839722012739 C3(757,859) = 5.634595979360757069 C4(757,859) = 6872 Sum = 4089.811298318174526 Averaged sum = 0.4086133777918048282 logp*logq = 44.78644624011714925 -------------- ************************************* p = 757; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.909926910438849018 E19 -------------- Searches starting with [757,863]-exponents: u = 1, v = 50 n_start has 150 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(757,863) = 0.5794428707124394446 D2(757,863) = 0.03374058790331908235 C1(757,863) = 0.8159246739993776230 C2(757,863) = 1.573858845008496579 C3(757,863) = 4.680143013319114744 C4(757,863) = 6904 Sum = 4207.717675876312047 Averaged sum = 0.4203934135154672842 logp*logq = 44.81724473106715911 -------------- ************************************* p = 757; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.237526702950397496 E19 -------------- Searches starting with [757,877]-exponents: u = 1, v = 45 n_start has 136 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(757,877) = 0.8457115849817925408 D2(757,877) = 0.03620221910572660878 C1(757,877) = 1.263531255850988351 C2(757,877) = 1.610024019558503305 C3(757,877) = 10.91328045746442167 C4(757,877) = 7016 Sum = 2821.138921816527375 Averaged sum = 0.2818602179854658182 logp*logq = 44.92392644189407624 -------------- ************************************* p = 757; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.336683928212926671 E19 -------------- Searches starting with [757,881]-exponents: u = 1, v = 43 n_start has 130 digits starting right neighbors generation We generated 214 left neighbors We generated 9796 right neighbors We generated 10009 non-negative rho_i D1(757,881) = 0.6067149666881764630 D2(757,881) = 0.05052379515766925202 C1(757,881) = 0.8410245755243259368 C2(757,881) = 1.631905080814652792 C3(757,881) = 4.907699760367304732 C4(757,881) = 7048 Sum = 4028.451004015325733 Averaged sum = 0.4024828658222925100 logp*logq = 44.95409424482309352 -------------- ************************************* p = 757; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.387221788961555280 E19 -------------- Searches starting with [757,883]-exponents: u = 1, v = 43 n_start has 130 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(757,883) = 0.8291677198409736325 D2(757,883) = 0.02538689065435810519 C1(757,883) = 1.243626545700191568 C2(757,883) = 1.614257552745488096 C3(757,883) = 10.51003489011197172 C4(757,883) = 7064 Sum = 2746.598317806888780 Averaged sum = 0.2744128602065030253 logp*logq = 44.96912682100010323 -------------- ************************************* p = 757; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.490249867298629705 E19 -------------- Searches starting with [757,887]-exponents: u = 1, v = 41 n_start has 124 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(757,887) = 0.6374472882900416396 D2(757,887) = 0.03246964223949909599 C1(757,887) = 0.9580197365394137859 C2(757,887) = 1.629396382875837507 C3(757,887) = 6.123309530540238798 C4(757,887) = 7096 Sum = 4086.667621763279650 Averaged sum = 0.4082992928127964482 logp*logq = 44.99909009575289582 -------------- ************************************* p = 757; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.046253303046569869 E19 -------------- Searches starting with [757,907]-exponents: u = 1, v = 36 n_start has 110 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(757,907) = 0.9125775152660622979 D2(757,907) = 0.01106044793231900433 C1(757,907) = 1.277715639975006326 C2(757,907) = 1.652743613723915645 C3(757,907) = 11.21004582573974415 C4(757,907) = 7256 Sum = 4260.603333295428487 Averaged sum = 0.4256772238280975609 logp*logq = 45.14690810946776069 -------------- ************************************* p = 757; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.166029838426491614 E19 -------------- Searches starting with [757,911]-exponents: u = 1, v = 35 n_start has 107 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(757,911) = 0.5952688537919329452 D2(757,911) = 0.07137741247833866660 C1(757,911) = 0.9070888060514050099 C2(757,911) = 1.713677318617672932 C3(757,911) = 5.560935904152393057 C4(757,911) = 7288 Sum = 3952.255288518747294 Averaged sum = 0.3948701457207260759 logp*logq = 45.17608027206833553 -------------- ************************************* p = 757; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.414636599934465737 E19 -------------- Searches starting with [757,919]-exponents: u = 1, v = 34 n_start has 104 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(757,919) = 0.6070805265546691682 D2(757,919) = 0.02931024943648744972 C1(757,919) = 0.9300723155972208090 C2(757,919) = 1.692026281197358085 C3(757,919) = 5.808021224135254338 C4(757,919) = 7352 Sum = 3490.723387141641248 Averaged sum = 0.3487584561036708211 logp*logq = 45.23404228723449169 -------------- ************************************* p = 757; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.743012945115528997 E19 -------------- Searches starting with [757,929]-exponents: u = 1, v = 32 n_start has 98 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(757,929) = 0.5494537386790188707 D2(757,929) = 0.0005308866435869990942 C1(757,929) = 0.7751361725790799516 C2(757,929) = 1.685759916063496199 C3(757,929) = 4.332639151468287534 C4(757,929) = 7432 Sum = 4042.515501329657711 Averaged sum = 0.4038880508871673205 logp*logq = 45.30578934308820838 -------------- ************************************* p = 757; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.020433774810053703 E19 -------------- Searches starting with [757,937]-exponents: u = 1, v = 31 n_start has 96 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(757,937) = 0.7652667443896504424 D2(757,937) = 0.01425039737403105001 C1(757,937) = 1.182938824647789259 C2(757,937) = 1.711961553596337919 C3(757,937) = 9.370244113997003644 C4(757,937) = 7496 Sum = 2206.359783443146893 Averaged sum = 0.2204375845182482659 logp*logq = 45.36263310618214707 -------------- ************************************* p = 757; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.164232426912702412 E19 -------------- Searches starting with [757,941]-exponents: u = 1, v = 30 n_start has 93 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(757,941) = 0.7104707425934825863 D2(757,941) = 0.06487173266397578158 C1(757,941) = 1.034829403763377941 C2(757,941) = 1.763192342014457440 C3(757,941) = 7.080814062553486035 C4(757,941) = 7528 Sum = 4075.096125744856909 Averaged sum = 0.4071431837091474582 logp*logq = 45.39087324794295230 -------------- ************************************* p = 757; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.386481594064683834 E19 -------------- Searches starting with [757,947]-exponents: u = 1, v = 29 n_start has 90 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(757,947) = 0.5072582300915031381 D2(757,947) = 0.04477092384347752052 C1(757,947) = 0.7406660807489112611 C2(757,947) = 1.755838054597362153 C3(757,947) = 4.059161314585250189 C4(757,947) = 7576 Sum = 4071.374649534153248 Averaged sum = 0.4067713707197675340 logp*logq = 45.43300917318397710 -------------- ************************************* p = 757; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.616800569595577425 E19 -------------- Searches starting with [757,953]-exponents: u = 1, v = 28 n_start has 87 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(757,953) = 0.6758163131101853067 D2(757,953) = 0.01993177625173823745 C1(757,953) = 0.9312771829562604346 C2(757,953) = 1.744370679981230502 C3(757,953) = 5.821272898852501900 C4(757,953) = 7624 Sum = 3972.785870242940093 Averaged sum = 0.3969213578022719645 logp*logq = 45.47487897501703305 -------------- ************************************* p = 757; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.186949385333541209 E19 -------------- Searches starting with [757,967]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(757,967) = 1.048628908656308354 D2(757,967) = 0.07992265235233584794 C1(757,967) = 1.384819633204796305 C2(757,967) = 1.819624887336747629 C3(757,967) = 13.72746356997482145 C4(757,967) = 7736 Sum = 2108.695661464574225 Averaged sum = 0.2106799541876885029 logp*logq = 45.57155890259306670 -------------- ************************************* p = 757; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.358598345589121715 E19 -------------- Searches starting with [757,971]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(757,971) = 0.5589333285276717689 D2(757,971) = 0.01554450768582579158 C1(757,971) = 0.7981877802393259080 C2(757,971) = 1.769758195406011426 C3(757,971) = 4.525731302712284776 C4(757,971) = 7768 Sum = 4071.713963965474303 Averaged sum = 0.4068052716520605757 logp*logq = 45.59892473403669456 -------------- ************************************* p = 757; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.623646591625852968 E19 -------------- Searches starting with [757,977]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(757,977) = 1.071652097195682191 D2(757,977) = 0.08156166156221894130 C1(757,977) = 1.686682334208337510 C2(757,977) = 1.836674024263204784 C3(757,977) = 24.29752296239381445 C4(757,977) = 7816 Sum = 4962.945356608955149 Averaged sum = 0.4958482722159012038 logp*logq = 45.63976282983303154 -------------- ************************************* p = 757; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.898018027967660825 E19 -------------- Searches starting with [757,983]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(757,983) = 0.5402319706305030454 D2(757,983) = 0.02971734680184391101 C1(757,983) = 0.7740986869779093777 C2(757,983) = 1.800476105086064682 C3(757,983) = 4.324145060813052193 C4(757,983) = 7864 Sum = 4039.462678686368188 Averaged sum = 0.4035830431298199808 logp*logq = 45.68035089490457642 -------------- ************************************* p = 757; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.278813462140274886 E19 -------------- Searches starting with [757,991]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 74 left neighbors We generated 9936 right neighbors We generated 10009 non-negative rho_i D1(757,991) = 0.6064358165424005278 D2(757,991) = 0.1202071363252988312 C1(757,991) = 0.8428488692075344424 C2(757,991) = 1.892154744046300379 C3(757,991) = 4.924663852226524522 C4(757,991) = 7928 Sum = 4038.491365402527279 Averaged sum = 0.4034859991410258046 logp*logq = 45.73408462984206359 -------------- ************************************* p = 757; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.575991710029392895 E19 -------------- Searches starting with [757,997]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(757,997) = 0.7629424342137597483 D2(757,997) = 0.05209581620063328413 C1(757,997) = 1.211287338830309739 C2(757,997) = 1.840616888115942414 C3(757,997) = 9.886405301080863157 C4(757,997) = 7976 Sum = 2539.504788466366801 Averaged sum = 0.2537221289305991408 logp*logq = 45.77410102852894201 -------------- ************************************* p = 761; q = 769; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.403017740065622211 E19 -------------- Searches starting with [761,769]-exponents: u = 1, v = 634 n_start has 1833 digits --- performed 5000 steps in the continued fraction search [761,769]-exponents: u = 583, v = 45 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(761,769) = 0.6469911587593689070 D2(761,769) = 0.2180112977687256052 C1(761,769) = 0.8366990791139088173 C2(761,769) = 1.266179729004707532 C3(761,769) = 4.870947703272583604 C4(761,769) = 6152 Sum = 5461.503708630924865 Averaged sum = 0.5462049913622287093 logp*logq = 44.08774221230759608 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(761,769) = 0.6469911587593689070 D2(761,769) = 0.2180112977687256052 C1(761,769) = 0.8366990791139088173 C2(761,769) = 1.266179729004707532 C3(761,769) = 4.870947703272583604 C4(761,769) = 6152 Sum = 5461.503708630924865 Averaged sum = 0.5462049913622287093 logp*logq = 44.08774221230759608 -------------- ************************************* p = 761; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.452151787754384559 E19 -------------- Searches starting with [761,773]-exponents: u = 1, v = 424 n_start has 1228 digits --- performed 5000 steps in the continued fraction search [761,773]-exponents: u = 391, v = 23 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(761,773) = 0.8883723100330276286 D2(761,773) = 0.1057099898532357226 C1(761,773) = 1.166139207910832621 C2(761,773) = 1.212331974565380100 C3(761,773) = 9.085585954617482666 C4(761,773) = 6184 Sum = 5233.860149432284404 Averaged sum = 0.5234383587791063510 logp*logq = 44.12216321484678474 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(761,773) = 0.8883723100330276286 D2(761,773) = 0.1057099898532357226 C1(761,773) = 1.166139207910832621 C2(761,773) = 1.212331974565380100 C3(761,773) = 9.085585954617482666 C4(761,773) = 6184 Sum = 5233.860149432284404 Averaged sum = 0.5234383587791063510 logp*logq = 44.12216321484678474 -------------- ************************************* p = 761; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.635801352120284883 E19 -------------- Searches starting with [761,787]-exponents: u = 1, v = 197 n_start has 574 digits starting right neighbors generation We generated 4146 left neighbors We generated 5864 right neighbors We generated 10009 non-negative rho_i D1(761,787) = 0.5709600391791224909 D2(761,787) = 0.001363135564564048914 C1(761,787) = 0.7752674575137932761 C2(761,787) = 1.238044401315251969 C3(761,787) = 4.336385866564103442 C4(761,787) = 6296 Sum = 4688.293514601852462 Averaged sum = 0.4684077844541764873 logp*logq = 44.24124957478570374 -------------- ************************************* p = 761; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.778738746985544485 E19 -------------- Searches starting with [761,797]-exponents: u = 1, v = 143 n_start has 418 digits starting right neighbors generation We generated 2199 left neighbors We generated 7811 right neighbors We generated 10009 non-negative rho_i D1(761,797) = 0.5592312022611763274 D2(761,797) = 0.006299947296012924802 C1(761,797) = 0.7718676751701256316 C2(761,797) = 1.302382299779633120 C3(761,797) = 4.308577623207782902 C4(761,797) = 6376 Sum = 4605.699357922550056 Averaged sum = 0.4601557955762363928 logp*logq = 44.32502131092787896 -------------- ************************************* p = 761; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.964139205065709551 E19 -------------- Searches starting with [761,809]-exponents: u = 1, v = 108 n_start has 317 digits starting right neighbors generation We generated 1253 left neighbors We generated 8757 right neighbors We generated 10009 non-negative rho_i D1(761,809) = 0.5368791058163675090 D2(761,809) = 0.01671395878526729097 C1(761,809) = 0.7534366490193039611 C2(761,809) = 1.369571602117993988 C3(761,809) = 4.160897258861875023 C4(761,809) = 6472 Sum = 4048.887313884870431 Averaged sum = 0.4045246591952113528 logp*logq = 44.42417085265042038 -------------- ************************************* p = 761; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.996580375367989832 E19 -------------- Searches starting with [761,811]-exponents: u = 1, v = 104 n_start has 306 digits starting right neighbors generation We generated 1205 left neighbors We generated 8805 right neighbors We generated 10009 non-negative rho_i D1(761,811) = 0.6245611112606575913 D2(761,811) = 0.01272778405646824342 C1(761,811) = 0.8785093812343362741 C2(761,811) = 1.374638379234456968 C3(761,811) = 5.271981539558805926 C4(761,811) = 6488 Sum = 4007.598506357511755 Averaged sum = 0.4003994910937667854 logp*logq = 44.44055267173340241 -------------- ************************************* p = 761; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.165700149339853102 E19 -------------- Searches starting with [761,821]-exponents: u = 1, v = 87 n_start has 257 digits starting right neighbors generation We generated 844 left neighbors We generated 9166 right neighbors We generated 10009 non-negative rho_i D1(761,821) = 0.6316700728825366128 D2(761,821) = 0.01764172266771530646 C1(761,821) = 0.8625968221189925121 C2(761,821) = 1.418851643926088459 C3(761,821) = 5.115601080315488571 C4(761,821) = 6568 Sum = 3823.435206641295123 Averaged sum = 0.3819997209153057371 logp*logq = 44.52186047067480500 -------------- ************************************* p = 761; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.200944028060895141 E19 -------------- Searches starting with [761,823]-exponents: u = 1, v = 84 n_start has 248 digits starting right neighbors generation We generated 814 left neighbors We generated 9196 right neighbors We generated 10009 non-negative rho_i D1(761,823) = 0.5938889576964625296 D2(761,823) = 0.003564399138377467418 C1(761,823) = 0.8461858765392093985 C2(761,823) = 1.413783837739642891 C3(761,823) = 4.959180064610583526 C4(761,823) = 6584 Sum = 4435.020371416220484 Averaged sum = 0.4431032442218224082 logp*logq = 44.53800313887653264 -------------- ************************************* p = 761; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.272895011297241161 E19 -------------- Searches starting with [761,827]-exponents: u = 1, v = 79 n_start has 234 digits starting right neighbors generation We generated 692 left neighbors We generated 9318 right neighbors We generated 10009 non-negative rho_i D1(761,827) = 0.6282889778796831523 D2(761,827) = 0.01553095605036868739 C1(761,827) = 0.8988378753326131281 C2(761,827) = 1.438704839878738037 C3(761,827) = 5.478733571952768349 C4(761,827) = 6616 Sum = 4485.142974635107781 Averaged sum = 0.4481109975657016466 logp*logq = 44.57017112120403146 -------------- ************************************* p = 761; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.309613158248117634 E19 -------------- Searches starting with [761,829]-exponents: u = 1, v = 77 n_start has 228 digits starting right neighbors generation We generated 674 left neighbors We generated 9336 right neighbors We generated 10009 non-negative rho_i D1(761,829) = 0.8214959438687320353 D2(761,829) = 0.01653780314810800893 C1(761,829) = 1.128941549073537374 C2(761,829) = 1.446536274287423820 C3(761,829) = 8.468047309657203215 C4(761,829) = 6632 Sum = 4315.313133191722275 Averaged sum = 0.4311432843632453067 logp*logq = 44.58619681343506141 -------------- ************************************* p = 761; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.500855712715163786 E19 -------------- Searches starting with [761,839]-exponents: u = 1, v = 67 n_start has 199 digits starting right neighbors generation We generated 523 left neighbors We generated 9487 right neighbors We generated 10009 non-negative rho_i D1(761,839) = 1.203852246645889499 D2(761,839) = 0.003586141867454453138 C1(761,839) = 1.741876905668921498 C2(761,839) = 1.467856354101460187 C3(761,839) = 27.00871533134050887 C4(761,839) = 6712 Sum = 6193.634824018532349 Averaged sum = 0.6188065565010023328 logp*logq = 44.66574972528091234 -------------- ************************************* p = 761; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.791079534961793621 E19 -------------- Searches starting with [761,853]-exponents: u = 1, v = 58 n_start has 173 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(761,853) = 0.6987329917171901972 D2(761,853) = 0.03865729413161564213 C1(761,853) = 1.023004080814249365 C2(761,853) = 1.540141250153728047 C3(761,853) = 6.929821865015915837 C4(761,853) = 6824 Sum = 3193.773824745879579 Averaged sum = 0.3190902012934238764 logp*logq = 44.77554521797583047 -------------- ************************************* p = 761; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.879071159567499232 E19 -------------- Searches starting with [761,857]-exponents: u = 1, v = 55 n_start has 165 digits starting right neighbors generation We generated 326 left neighbors We generated 9684 right neighbors We generated 10009 non-negative rho_i D1(761,857) = 0.6713974780979546430 D2(761,857) = 0.04292689852114732695 C1(761,857) = 0.9856373062373262057 C2(761,857) = 1.554920212056414782 C3(761,857) = 6.456741850849861327 C4(761,857) = 6856 Sum = 4444.818642238768192 Averaged sum = 0.4440821902526494347 logp*logq = 44.80658449497682226 -------------- ************************************* p = 761; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.923943096670464542 E19 -------------- Searches starting with [761,859]-exponents: u = 1, v = 54 n_start has 162 digits starting right neighbors generation We generated 320 left neighbors We generated 9690 right neighbors We generated 10009 non-negative rho_i D1(761,859) = 0.6029348645030733928 D2(761,859) = 0.04218689094460853917 C1(761,859) = 0.8863723840619177598 C2(761,859) = 1.559633376517401824 C3(761,859) = 5.351010826728046410 C4(761,859) = 6872 Sum = 4243.303141129049304 Averaged sum = 0.4239487602286991012 logp*logq = 44.82204984780202171 -------------- ************************************* p = 761; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.015471056298024673 E19 -------------- Searches starting with [761,863]-exponents: u = 1, v = 52 n_start has 156 digits starting right neighbors generation We generated 308 left neighbors We generated 9702 right neighbors We generated 10009 non-negative rho_i D1(761,863) = 0.5837280171194349739 D2(761,863) = 0.03497646611627208405 C1(761,863) = 0.8606382536431401496 C2(761,863) = 1.563758921472355560 C3(761,863) = 5.096676700403441444 C4(761,863) = 6904 Sum = 4164.753142061474587 Averaged sum = 0.4161008234650289326 logp*logq = 44.85287282244031510 -------------- ************************************* p = 761; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.355237556047731773 E19 -------------- Searches starting with [761,877]-exponents: u = 1, v = 46 n_start has 139 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(761,877) = 0.5867293407369705866 D2(761,877) = 0.006142875756136732837 C1(761,877) = 0.8735317897969224404 C2(761,877) = 1.573253586098919731 C3(761,877) = 5.222557280205327961 C4(761,877) = 7016 Sum = 4058.710790952628228 Averaged sum = 0.4055061235840371894 logp*logq = 44.95963934137545025 -------------- ************************************* p = 761; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.458082897796892354 E19 -------------- Searches starting with [761,881]-exponents: u = 1, v = 45 n_start has 136 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(761,881) = 0.6768097493027119221 D2(761,881) = 0.02272769192273232810 C1(761,881) = 0.9363570510336747548 C2(761,881) = 1.597170370383018521 C3(761,881) = 5.881851764503207457 C4(761,881) = 7048 Sum = 3816.999078377643659 Averaged sum = 0.3813566868196267019 logp*logq = 44.98983112661854623 -------------- ************************************* p = 761; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.510501435053412340 E19 -------------- Searches starting with [761,883]-exponents: u = 1, v = 44 n_start has 133 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(761,883) = 0.5669245701933586811 D2(761,883) = 0.002215388248733965152 C1(761,883) = 0.7849728334125065364 C2(761,883) = 1.583906997675870860 C3(761,883) = 4.416761642202834261 C4(761,883) = 7064 Sum = 4150.025240988638995 Averaged sum = 0.4146293576769546403 logp*logq = 45.00487565315084490 -------------- ************************************* p = 761; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.617365435897477226 E19 -------------- Searches starting with [761,887]-exponents: u = 1, v = 43 n_start has 130 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(761,887) = 0.6325041726002171452 D2(761,887) = 0.01231731441270414414 C1(761,887) = 0.8772494391774458138 C2(761,887) = 1.601808454487118090 C3(761,887) = 5.259427091992488980 C4(761,887) = 7096 Sum = 3821.586171094113383 Averaged sum = 0.3818149836241496037 logp*logq = 45.03486274762520087 -------------- ************************************* p = 761; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.194111444269140135 E19 -------------- Searches starting with [761,907]-exponents: u = 1, v = 37 n_start has 113 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(761,907) = 0.6017531495644830143 D2(761,907) = 0.009611136107731349284 C1(761,907) = 0.9125707760597290945 C2(761,907) = 1.642293173295784658 C3(761,907) = 5.622974470365544139 C4(761,907) = 7256 Sum = 3867.337881757841885 Averaged sum = 0.3863860407391189814 logp*logq = 45.18279827132379709 -------------- ************************************* p = 761; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.318364997661006502 E19 -------------- Searches starting with [761,911]-exponents: u = 1, v = 36 n_start has 110 digits starting right neighbors generation We generated 145 left neighbors We generated 9865 right neighbors We generated 10009 non-negative rho_i D1(761,911) = 0.6880412836756601662 D2(761,911) = 0.07131583766661416288 C1(761,911) = 1.045966239511944654 C2(761,911) = 1.704612301840028321 C3(761,911) = 7.237569742439463832 C4(761,911) = 7288 Sum = 4102.002717074475679 Averaged sum = 0.4098314234263638404 logp*logq = 45.21199362474033847 -------------- ************************************* p = 761; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.576273180030641265 E19 -------------- Searches starting with [761,919]-exponents: u = 1, v = 35 n_start has 107 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(761,919) = 0.8499081294371427318 D2(761,919) = 0.03729530510077277672 C1(761,919) = 1.148851468469642619 C2(761,919) = 1.690210313083720711 C3(761,919) = 8.793172327347228075 C4(761,919) = 7352 Sum = 3419.664825567304426 Averaged sum = 0.3416589894662108529 logp*logq = 45.27000171761575373 -------------- ************************************* p = 761; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.916953064861251543 E19 -------------- Searches starting with [761,929]-exponents: u = 1, v = 33 n_start has 101 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(761,929) = 0.7026151745508553303 D2(761,929) = 0.01643063662672817459 C1(761,929) = 0.9728527179403738225 C2(761,929) = 1.690926892403760437 C3(761,929) = 6.302412604044720912 C4(761,929) = 7432 Sum = 3942.314323599717997 Averaged sum = 0.3938769431111717451 logp*logq = 45.34180580978834834 -------------- ************************************* p = 761; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.204782917862496121 E19 -------------- Searches starting with [761,937]-exponents: u = 1, v = 31 n_start has 96 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(761,937) = 0.6981714089668056175 D2(761,937) = 0.03652689283795625933 C1(761,937) = 1.076020480633918510 C2(761,937) = 1.722977261252777838 C3(761,937) = 7.661112605750473381 C4(761,937) = 7496 Sum = 3950.747573684176704 Averaged sum = 0.3947195098095890402 logp*logq = 45.39869476162152474 -------------- ************************************* p = 761; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.353982017498743826 E19 -------------- Searches starting with [761,941]-exponents: u = 1, v = 31 n_start has 96 digits starting right neighbors generation We generated 154 left neighbors We generated 9856 right neighbors We generated 10009 non-negative rho_i D1(761,941) = 1.269552765607305562 D2(761,941) = 0.001214917743569023592 C1(761,941) = 1.763888518598390655 C2(761,941) = 1.699535527094050682 C3(761,941) = 28.15745790960432909 C4(761,941) = 7528 Sum = 4526.896592286075683 Averaged sum = 0.4522826048842117777 logp*logq = 45.42695735327538080 -------------- ************************************* p = 761; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.584584355458879487 E19 -------------- Searches starting with [761,947]-exponents: u = 1, v = 30 n_start has 93 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(761,947) = 0.8132848880260418104 D2(761,947) = 0.07657500451588671878 C1(761,947) = 1.152022462222967185 C2(761,947) = 1.775804917476904185 C3(761,947) = 8.846094221775395007 C4(761,947) = 7576 Sum = 4360.121876803517471 Averaged sum = 0.4356201295637443772 logp*logq = 45.46912677505559689 -------------- ************************************* p = 761; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.823567782567944005 E19 -------------- Searches starting with [761,953]-exponents: u = 1, v = 29 n_start has 90 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(761,953) = 0.8944848997648061524 D2(761,953) = 0.05486536888039486530 C1(761,953) = 1.306231131751038567 C2(761,953) = 1.766840222573131083 C3(761,953) = 11.84357612622160445 C4(761,953) = 7624 Sum = 4476.514398097381650 Averaged sum = 0.4472489157855311869 logp*logq = 45.51102986186934353 -------------- ************************************* p = 761; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.415198108154520571 E19 -------------- Searches starting with [761,967]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(761,967) = 0.6148673728980815887 D2(761,967) = 0.01897707011506798994 C1(761,967) = 0.8760784327342143909 C2(761,967) = 1.758679305099479771 C3(761,967) = 5.247785633134973708 C4(761,967) = 7736 Sum = 3980.088106351769370 Averaged sum = 0.3976509248028543680 logp*logq = 45.60778664649703885 -------------- ************************************* p = 761; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.593322971095684993 E19 -------------- Searches starting with [761,971]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(761,971) = 0.5615095137846821287 D2(761,971) = 0.06382993793848780613 C1(761,971) = 0.7862734652524644007 C2(761,971) = 1.804131248207797082 C3(761,971) = 4.427645520217650886 C4(761,971) = 7768 Sum = 3785.349901011960682 Averaged sum = 0.3781946149477430994 logp*logq = 45.63517423278858355 -------------- ************************************* p = 761; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.868378323722230105 E19 -------------- Searches starting with [761,977]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(761,977) = 0.6096736757746004551 D2(761,977) = 0.02216167726858890095 C1(761,977) = 0.8975730984145393571 C2(761,977) = 1.777274039969574743 C3(761,977) = 5.465636769399919137 C4(761,977) = 7816 Sum = 3829.588704932913677 Averaged sum = 0.3826145174276065218 logp*logq = 45.67604479339656320 -------------- ************************************* p = 761; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.153118086284062719 E19 -------------- Searches starting with [761,983]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 77 left neighbors We generated 9933 right neighbors We generated 10009 non-negative rho_i D1(761,983) = 0.7450599538532587001 D2(761,983) = 0.08911765673577127883 C1(761,983) = 1.172835825887165390 C2(761,983) = 1.845123152912164157 C3(761,983) = 9.201451374536426736 C4(761,983) = 7864 Sum = 3814.084485789211879 Averaged sum = 0.3810654896382467658 logp*logq = 45.71666512451435224 -------------- ************************************* p = 761; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.548318392207684260 E19 -------------- Searches starting with [761,991]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(761,991) = 0.7916907752197149561 D2(761,991) = 0.05624811595202172837 C1(761,991) = 1.072114852213736336 C2(761,991) = 1.828195723673023276 C3(761,991) = 7.604700842815366372 C4(761,991) = 7928 Sum = 3444.340512465732767 Averaged sum = 0.3441243393411662270 logp*logq = 45.77044157583098457 -------------- ************************************* p = 761; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.856749876617506268 E19 -------------- Searches starting with [761,997]-exponents: u = 1, v = 24 n_start has 75 digits starting right neighbors generation We generated 97 left neighbors We generated 9913 right neighbors We generated 10009 non-negative rho_i D1(761,997) = 0.5801829149245357390 D2(761,997) = 0.0004369643860696571910 C1(761,997) = 0.8594195514914297224 C2(761,997) = 1.788958036301378787 C3(761,997) = 5.084936520385782180 C4(761,997) = 7976 Sum = 3688.244045056553830 Averaged sum = 0.3684927610207367200 logp*logq = 45.81048978610997214 -------------- ************************************* p = 769; q = 773; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.556737808832695108 E19 -------------- Searches starting with [769,773]-exponents: u = 1, v = 1280 n_start has 3700 digits --- performed 5000 steps in the continued fraction search [769,773]-exponents: u = 1163, v = 115 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(769,773) = 0.6006517573458643961 D2(769,773) = 0.3671863538643293033 C1(769,773) = 0.7596312759613539463 C2(769,773) = 1.332374874149162882 C3(769,773) = 4.214998568470552302 C4(769,773) = 6184 Sum = 5811.271664028902076 Averaged sum = 0.5811852849313833460 logp*logq = 44.19170925046086341 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(769,773) = 0.6006517573458643961 D2(769,773) = 0.3671863538643293033 C1(769,773) = 0.7596312759613539463 C2(769,773) = 1.332374874149162882 C3(769,773) = 4.214998568470552302 C4(769,773) = 6184 Sum = 5811.271664028902076 Averaged sum = 0.5811852849313833460 logp*logq = 44.19170925046086341 -------------- ************************************* p = 769; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.753943268355898041 E19 -------------- Searches starting with [769,787]-exponents: u = 1, v = 287 n_start has 835 digits --- performed 5000 steps in the continued fraction search [769,787]-exponents: u = 257, v = 14 --- starting right neighbors generation We generated 8493 left neighbors We generated 1517 right neighbors We generated 10009 non-negative rho_i D1(769,787) = 0.7092341079188243520 D2(769,787) = 0.004732569259766611508 C1(769,787) = 0.9464251903883974217 C2(769,787) = 1.178866981423939326 C3(769,787) = 6.003929720443706718 C4(769,787) = 6296 Sum = 4991.953589655176568 Averaged sum = 0.4987464871271032638 logp*logq = 44.31098331616092416 -------------- ************************************* p = 769; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.907455829573589986 E19 -------------- Searches starting with [769,797]-exponents: u = 1, v = 185 n_start has 540 digits starting right neighbors generation We generated 3549 left neighbors We generated 6461 right neighbors We generated 10009 non-negative rho_i D1(769,797) = 0.6967372874469173537 D2(769,797) = 0.005931739822897127579 C1(769,797) = 0.9489850963282405680 C2(769,797) = 1.254328053461152090 C3(769,797) = 6.033108349476485421 C4(769,797) = 6376 Sum = 4764.013005158083391 Averaged sum = 0.4759729248834132672 logp*logq = 44.39488709460838772 -------------- ************************************* p = 769; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.106601847623582049 E19 -------------- Searches starting with [769,809]-exponents: u = 1, v = 131 n_start has 384 digits starting right neighbors generation We generated 1889 left neighbors We generated 8121 right neighbors We generated 10009 non-negative rho_i D1(769,809) = 0.8930973535022652039 D2(769,809) = 0.009624894531806012402 C1(769,809) = 1.239500653415361172 C2(769,809) = 1.324826265434260477 C3(769,809) = 10.45900669578265363 C4(769,809) = 6472 Sum = 4291.222641599631619 Averaged sum = 0.4287364013987043280 logp*logq = 44.49419291737105355 -------------- ************************************* p = 769; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.141451330190698679 E19 -------------- Searches starting with [769,811]-exponents: u = 1, v = 124 n_start has 364 digits starting right neighbors generation We generated 1672 left neighbors We generated 8338 right neighbors We generated 10009 non-negative rho_i D1(769,811) = 0.9199672934663756125 D2(769,811) = 0.001177364637382672736 C1(769,811) = 1.280224657026823593 C2(769,811) = 1.327045698890195663 C3(769,811) = 11.29759421849065166 C4(769,811) = 6488 Sum = 4954.836045561657891 Averaged sum = 0.4950380702929021772 logp*logq = 44.51060055773047257 -------------- ************************************* p = 769; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.323140068592675788 E19 -------------- Searches starting with [769,821]-exponents: u = 1, v = 101 n_start has 298 digits starting right neighbors generation We generated 1169 left neighbors We generated 8841 right neighbors We generated 10009 non-negative rho_i D1(769,821) = 0.5401410190442087949 D2(769,821) = 0.0007432454276751371637 C1(769,821) = 0.7608575704955589942 C2(769,821) = 1.371062795216750119 C3(769,821) = 4.224799079517862560 C4(769,821) = 6568 Sum = 4440.335418440113787 Averaged sum = 0.4436342710001112786 logp*logq = 44.59203651528126489 -------------- ************************************* p = 769; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.361006145256267219 E19 -------------- Searches starting with [769,823]-exponents: u = 1, v = 97 n_start has 286 digits starting right neighbors generation We generated 1033 left neighbors We generated 8977 right neighbors We generated 10009 non-negative rho_i D1(769,823) = 0.7958302807742974114 D2(769,823) = 0.006395083179656999770 C1(769,823) = 1.123831685231026911 C2(769,823) = 1.384216640593092193 C3(769,823) = 8.401418273278056169 C4(769,823) = 6584 Sum = 4824.503651453326797 Averaged sum = 0.4820165502501075829 logp*logq = 44.60820462780611415 -------------- ************************************* p = 769; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.438313341797530799 E19 -------------- Searches starting with [769,827]-exponents: u = 1, v = 91 n_start has 269 digits starting right neighbors generation We generated 967 left neighbors We generated 9043 right neighbors We generated 10009 non-negative rho_i D1(769,827) = 0.5763699034295568605 D2(769,827) = 0.003371091389393471249 C1(769,827) = 0.7854695389162401126 C2(769,827) = 1.397219334306587173 C3(769,827) = 4.426387459420278948 C4(769,827) = 6616 Sum = 3839.404457692229611 Averaged sum = 0.3835952100801508253 logp*logq = 44.64042331380454786 -------------- ************************************* p = 769; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.477766374978124507 E19 -------------- Searches starting with [769,829]-exponents: u = 1, v = 88 n_start has 260 digits starting right neighbors generation We generated 854 left neighbors We generated 9156 right neighbors We generated 10009 non-negative rho_i D1(769,829) = 0.6869933434302984062 D2(769,829) = 0.01915085170714276671 C1(769,829) = 0.9378098221715614564 C2(769,829) = 1.418777888775910788 C3(769,829) = 5.906761718216652674 C4(769,829) = 6632 Sum = 3825.928054223272648 Averaged sum = 0.3822487815189602006 logp*logq = 44.65647426597936644 -------------- ************************************* p = 769; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.683268935998403640 E19 -------------- Searches starting with [769,839]-exponents: u = 1, v = 76 n_start has 226 digits starting right neighbors generation We generated 665 left neighbors We generated 9345 right neighbors We generated 10009 non-negative rho_i D1(769,839) = 0.5960684722258842128 D2(769,839) = 0.01992797166023774463 C1(769,839) = 0.8559542796576229428 C2(769,839) = 1.454814437213058508 C3(769,839) = 5.058516741392599659 C4(769,839) = 6712 Sum = 3581.901588133409582 Averaged sum = 0.3578680775435517616 logp*logq = 44.73615257035444344 -------------- ************************************* p = 769; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.995180082627044013 E19 -------------- Searches starting with [769,853]-exponents: u = 1, v = 64 n_start has 191 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(769,853) = 0.7531446609142375989 D2(769,853) = 0.02104078293861211445 C1(769,853) = 1.094840926613668257 C2(769,853) = 1.499850547768684352 C3(769,853) = 7.952573306402608735 C4(769,853) = 6824 Sum = 3347.548139403172919 Averaged sum = 0.3344538055153534737 logp*logq = 44.84612112440195311 -------------- ************************************* p = 769; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.089757346249385343 E19 -------------- Searches starting with [769,857]-exponents: u = 1, v = 61 n_start has 182 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(769,857) = 1.049422347867426429 D2(769,857) = 0.002421364510001829097 C1(769,857) = 1.429356783141668865 C2(769,857) = 1.495121203512928350 C3(769,857) = 14.98467349499580981 C4(769,857) = 6856 Sum = 3508.946223386228774 Averaged sum = 0.3505791011475900464 logp*logq = 44.87720932599109881 -------------- ************************************* p = 769; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.137989438597861754 E19 -------------- Searches starting with [769,859]-exponents: u = 1, v = 60 n_start has 179 digits starting right neighbors generation We generated 467 left neighbors We generated 9543 right neighbors We generated 10009 non-negative rho_i D1(769,859) = 0.9027544282033738010 D2(769,859) = 0.008467855247850647951 C1(769,859) = 1.318654229808874035 C2(769,859) = 1.506118320774682397 C3(769,859) = 12.15050507831406988 C4(769,859) = 6872 Sum = 3271.333153162072082 Averaged sum = 0.3268391600721422801 logp*logq = 44.89269905554445478 -------------- ************************************* p = 769; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.236374905030201390 E19 -------------- Searches starting with [769,863]-exponents: u = 1, v = 57 n_start has 171 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(769,863) = 0.5353332629551792827 D2(769,863) = 0.01567460089117465395 C1(769,863) = 0.7482326157795514184 C2(769,863) = 1.523583456513330352 C3(769,863) = 4.124981668284017659 C4(769,863) = 6904 Sum = 4228.179575854000795 Averaged sum = 0.4224377635981617340 logp*logq = 44.92357061383177482 -------------- ************************************* p = 769; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.601637679225257937 E19 -------------- Searches starting with [769,877]-exponents: u = 1, v = 50 n_start has 151 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(769,877) = 0.6213245735500697754 D2(769,877) = 0.03412904659219320166 C1(769,877) = 0.8752163432500909973 C2(769,877) = 1.576412120845124148 C3(769,877) = 5.246458680982041324 C4(769,877) = 7016 Sum = 4226.119738134319659 Averaged sum = 0.4222319650448915635 logp*logq = 45.03050541980424534 -------------- ************************************* p = 769; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.712212377000880843 E19 -------------- Searches starting with [769,881]-exponents: u = 1, v = 48 n_start has 145 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(769,881) = 0.6975374338161725098 D2(769,881) = 0.01090557502543444348 C1(769,881) = 1.035227438373893136 C2(769,881) = 1.565836667846011587 C3(769,881) = 7.103551469652536254 C4(769,881) = 7048 Sum = 4416.645197368751000 Averaged sum = 0.4412673790956889799 logp*logq = 45.06074479380588755 -------------- ************************************* p = 769; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.768572440933128954 E19 -------------- Searches starting with [769,883]-exponents: u = 1, v = 48 n_start has 145 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(769,883) = 0.7977594074305766180 D2(769,883) = 0.04918760104224891376 C1(769,883) = 1.185976468244389797 C2(769,883) = 1.604425379303618468 C3(769,883) = 9.450760313804069516 C4(769,883) = 7064 Sum = 2909.971601965575917 Averaged sum = 0.2907354982481342709 logp*logq = 45.07581303375343555 -------------- ************************************* p = 769; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.883475994549629305 E19 -------------- Searches starting with [769,887]-exponents: u = 1, v = 46 n_start has 139 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(769,887) = 0.6603053839942555021 D2(769,887) = 0.01582385150367414557 C1(769,887) = 0.9349162787780226238 C2(769,887) = 1.584476840580763520 C3(769,887) = 5.874481080159630708 C4(769,887) = 7096 Sum = 4255.110168029011822 Averaged sum = 0.4251284012417835769 logp*logq = 45.10584739434958435 -------------- ************************************* p = 769; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.503700217354369758 E19 -------------- Searches starting with [769,907]-exponents: u = 1, v = 40 n_start has 122 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(769,907) = 0.7068152011661160437 D2(769,907) = 0.06120416682635939316 C1(769,907) = 0.9689848087774361267 C2(769,907) = 1.668918386066080908 C3(769,907) = 6.266007452094920715 C4(769,907) = 7256 Sum = 3807.716300430358757 Averaged sum = 0.3804292437236845596 logp*logq = 45.25401609630713475 -------------- ************************************* p = 769; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.637338956660984934 E19 -------------- Searches starting with [769,911]-exponents: u = 1, v = 39 n_start has 119 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(769,911) = 0.6038296013236012668 D2(769,911) = 0.05861773541950482388 C1(769,911) = 0.8194653090779316776 C2(769,911) = 1.674948218113204432 C3(769,911) = 4.720749756284473108 C4(769,911) = 7288 Sum = 3557.318310175689793 Averaged sum = 0.3554119602533409724 logp*logq = 45.28325746789097644 -------------- ************************************* p = 769; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.914746753938995092 E19 -------------- Searches starting with [769,919]-exponents: u = 1, v = 37 n_start has 113 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(769,919) = 0.5692572330403357605 D2(769,919) = 0.04151880633120718434 C1(769,919) = 0.7964689061013341552 C2(769,919) = 1.676036010933583919 C3(769,919) = 4.519562708207741335 C4(769,919) = 7352 Sum = 3846.143072285437188 Averaged sum = 0.3842684656094951731 logp*logq = 45.34135699401895853 -------------- ************************************* p = 769; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.281221934990436285 E19 -------------- Searches starting with [769,929]-exponents: u = 1, v = 35 n_start has 107 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(769,929) = 0.6407647572603613356 D2(769,929) = 0.03778902421418506302 C1(769,929) = 0.9794185393816965854 C2(769,929) = 1.692226576857294237 C3(769,929) = 6.391056547732932363 C4(769,929) = 7432 Sum = 3144.502980176974319 Averaged sum = 0.3141675472251947566 logp*logq = 45.41327426491144401 -------------- ************************************* p = 769; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.590876759271828586 E19 -------------- Searches starting with [769,937]-exponents: u = 1, v = 33 n_start has 101 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(769,937) = 0.5852547777063453974 D2(769,937) = 0.07155887962287891671 C1(769,937) = 0.8239085421125845668 C2(769,937) = 1.737014627204726838 C3(769,937) = 4.760642207303792046 C4(769,937) = 7496 Sum = 4110.049728176577372 Averaged sum = 0.4106354009567966202 logp*logq = 45.47025288598977896 -------------- ************************************* p = 769; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.751399742661968939 E19 -------------- Searches starting with [769,941]-exponents: u = 1, v = 32 n_start has 99 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(769,941) = 0.7610784755092592329 D2(769,941) = 0.04117081777840653376 C1(769,941) = 1.169825698518020444 C2(769,941) = 1.717487291421013715 C3(769,941) = 9.166060633585782222 C4(769,941) = 7528 Sum = 4201.140440307599718 Averaged sum = 0.4197362813775202036 logp*logq = 45.49856002557742816 -------------- ************************************* p = 769; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.999518095376334703 E19 -------------- Searches starting with [769,947]-exponents: u = 1, v = 31 n_start has 96 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(769,947) = 0.7481509948140346661 D2(769,947) = 0.03407005145046880611 C1(769,947) = 1.153385924421345972 C2(769,947) = 1.722032404412912077 C3(769,947) = 8.885072917237802229 C4(769,947) = 7576 Sum = 4115.892922348403382 Averaged sum = 0.4112191949593768990 logp*logq = 45.54079591545202737 -------------- ************************************* p = 769; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.256671182365474661 E19 -------------- Searches starting with [769,953]-exponents: u = 1, v = 30 n_start has 93 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(769,953) = 0.9825315115358073671 D2(769,953) = 0.02141975590130415888 C1(769,953) = 1.519443509884558443 C2(769,953) = 1.721553187061179450 C3(769,953) = 17.77230267663999298 C4(769,953) = 7624 Sum = 4907.321434894514275 Averaged sum = 0.4902908816959250949 logp*logq = 45.58276505055886650 -------------- ************************************* p = 769; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.893352750963758442 E19 -------------- Searches starting with [769,967]-exponents: u = 1, v = 29 n_start has 90 digits starting right neighbors generation We generated 144 left neighbors We generated 9866 right neighbors We generated 10009 non-negative rho_i D1(769,967) = 1.309695582988219292 D2(769,967) = 0.001875755469268313438 C1(769,967) = 2.038970432897611679 C2(769,967) = 1.728420633755573724 C3(769,967) = 47.53955134092739238 C4(769,967) = 7736 Sum = 2227.504390027418882 Averaged sum = 0.2225501438732559578 logp*logq = 45.67967434472597073 -------------- ************************************* p = 769; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.085059937403880608 E19 -------------- Searches starting with [769,971]-exponents: u = 1, v = 28 n_start has 87 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(769,971) = 0.9144763825211431698 D2(769,971) = 0.04599493759574476779 C1(769,971) = 1.339219766370464993 C2(769,971) = 1.773135883822657212 C3(769,971) = 12.63308750169442192 C4(769,971) = 7768 Sum = 4496.313583986684145 Averaged sum = 0.4492270540500233934 logp*logq = 45.70710509975433236 -------------- ************************************* p = 769; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.381104689132728010 E19 -------------- Searches starting with [769,977]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(769,977) = 0.7375943260973945602 D2(769,977) = 0.01301812888741385808 C1(769,977) = 1.031996180234063946 C2(769,977) = 1.754213407307903236 C3(769,977) = 7.060213247244437216 C4(769,977) = 7816 Sum = 4042.029418037604231 Averaged sum = 0.4038394862661209143 logp*logq = 45.74804008117164018 -------------- ************************************* p = 769; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.687592547783985041 E19 -------------- Searches starting with [769,983]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(769,983) = 0.7885230759443399510 D2(769,983) = 0.08054164870842223727 C1(769,983) = 1.236696525979985943 C2(769,983) = 1.822625382381087446 C3(769,983) = 10.40360952490645917 C4(769,983) = 7864 Sum = 1983.210466042703572 Averaged sum = 0.1981427181579282218 logp*logq = 45.78872443868316739 -------------- ************************************* p = 769; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.113009516341543033 E19 -------------- Searches starting with [769,991]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(769,991) = 1.053623864508177106 D2(769,991) = 0.05698588971716630345 C1(769,991) = 1.459806641695960005 C2(769,991) = 1.814173727129309427 C3(769,991) = 15.87421731534279859 C4(769,991) = 7928 Sum = 4149.891522873733424 Averaged sum = 0.4146159978892729966 logp*logq = 45.84258565327353709 -------------- ************************************* p = 769; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.445047891848373838 E19 -------------- Searches starting with [769,997]-exponents: u = 1, v = 25 n_start has 78 digits starting right neighbors generation We generated 101 left neighbors We generated 9909 right neighbors We generated 10009 non-negative rho_i D1(769,997) = 0.6639503951234962260 D2(769,997) = 0.008066972611170573805 C1(769,997) = 0.9210774973136555226 C2(769,997) = 1.780899891571010778 C3(769,997) = 5.722517095735718824 C4(769,997) = 7976 Sum = 3846.939202408705395 Averaged sum = 0.3843480070345394540 logp*logq = 45.88269698816055399 -------------- ************************************* p = 773; q = 787; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.815683252909649995 E19 -------------- Searches starting with [773,787]-exponents: u = 1, v = 370 n_start has 1075 digits --- performed 5000 steps in the continued fraction search [773,787]-exponents: u = 268, v = 90 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(773,787) = 0.6014293316614403795 D2(773,787) = 0.06404285773918703132 C1(773,787) = 0.7940366973020328381 C2(773,787) = 1.194525473303210901 C3(773,787) = 4.501580821508748078 C4(773,787) = 6296 Sum = 5149.868005892457969 Averaged sum = 0.5150383044196877657 logp*logq = 44.34557861164905956 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(773,787) = 0.6014293316614403795 D2(773,787) = 0.06404285773918703132 C1(773,787) = 0.7940366973020328381 C2(773,787) = 1.194525473303210901 C3(773,787) = 4.501580821508748078 C4(773,787) = 6296 Sum = 5149.868005892457969 Averaged sum = 0.5150383044196877657 logp*logq = 44.34557861164905956 -------------- ************************************* p = 773; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.974728913863514592 E19 -------------- Searches starting with [773,797]-exponents: u = 1, v = 217 n_start has 633 digits starting right neighbors generation We generated 4979 left neighbors We generated 5031 right neighbors We generated 10009 non-negative rho_i D1(773,797) = 0.5736480466984663951 D2(773,797) = 0.001430284474402340272 C1(773,797) = 0.7753279246882369405 C2(773,797) = 1.222846400276671667 C3(773,797) = 4.344809384987992634 C4(773,797) = 6376 Sum = 4816.753619154570454 Averaged sum = 0.4812422438959506898 logp*logq = 44.42954789701581783 -------------- ************************************* p = 773; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.181067606730705146 E19 -------------- Searches starting with [773,809]-exponents: u = 1, v = 146 n_start has 428 digits starting right neighbors generation We generated 2379 left neighbors We generated 7631 right neighbors We generated 10009 non-negative rho_i D1(773,809) = 0.7885036019619995059 D2(773,809) = 0.001767484002195153345 C1(773,809) = 1.087865754569414304 C2(773,809) = 1.296685280526879477 C3(773,809) = 7.854875662548556068 C4(773,809) = 6472 Sum = 4400.708506249760585 Averaged sum = 0.4396751429962794070 logp*logq = 44.52893125166843641 -------------- ************************************* p = 773; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.217177377260631400 E19 -------------- Searches starting with [773,811]-exponents: u = 1, v = 138 n_start has 405 digits starting right neighbors generation We generated 1994 left neighbors We generated 8016 right neighbors We generated 10009 non-negative rho_i D1(773,811) = 0.5693604860598189634 D2(773,811) = 0.01259764457308994562 C1(773,811) = 0.7876571113779343317 C2(773,811) = 1.316832021477330642 C3(773,811) = 4.447497106833060724 C4(773,811) = 6488 Sum = 4585.557418697481927 Averaged sum = 0.4581434127982297859 logp*logq = 44.54535170210617048 -------------- ************************************* p = 773; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.405443930394432719 E19 -------------- Searches starting with [773,821]-exponents: u = 1, v = 110 n_start has 324 digits starting right neighbors generation We generated 1377 left neighbors We generated 8633 right neighbors We generated 10009 non-negative rho_i D1(773,821) = 0.5665974289223526249 D2(773,821) = 0.002171184755943572423 C1(773,821) = 0.7945428935025184463 C2(773,821) = 1.354723815462117098 C3(773,821) = 4.505900219517678133 C4(773,821) = 6568 Sum = 4070.257549125987176 Averaged sum = 0.4066597611275838921 logp*logq = 44.62685123985320280 -------------- ************************************* p = 773; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.444682380007363114 E19 -------------- Searches starting with [773,823]-exponents: u = 1, v = 106 n_start has 312 digits starting right neighbors generation We generated 1229 left neighbors We generated 8781 right neighbors We generated 10009 non-negative rho_i D1(773,823) = 0.7662846933203292229 D2(773,823) = 0.01910276036412413067 C1(773,823) = 1.076985328787273103 C2(773,823) = 1.378390154683049872 C3(773,823) = 7.694607415563510828 C4(773,823) = 6584 Sum = 4035.020427247404245 Averaged sum = 0.4031392174290542756 logp*logq = 44.64303197544773869 -------------- ************************************* p = 773; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.524792923656974215 E19 -------------- Searches starting with [773,827]-exponents: u = 1, v = 98 n_start has 289 digits starting right neighbors generation We generated 1044 left neighbors We generated 8966 right neighbors We generated 10009 non-negative rho_i D1(773,827) = 0.5242045670671656375 D2(773,827) = 0.01692812539681695977 C1(773,827) = 0.7403468209918755045 C2(773,827) = 1.392917314178482176 C3(773,827) = 4.066182632840490668 C4(773,827) = 6616 Sum = 3920.923082033465722 Averaged sum = 0.3917397424351549327 logp*logq = 44.67527581581827023 -------------- ************************************* p = 773; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.565677388148833222 E19 -------------- Searches starting with [773,829]-exponents: u = 1, v = 95 n_start has 281 digits starting right neighbors generation We generated 1011 left neighbors We generated 8999 right neighbors We generated 10009 non-negative rho_i D1(773,829) = 0.7949056037835691285 D2(773,829) = 0.01873645748272275037 C1(773,829) = 1.124871216135605948 C2(773,829) = 1.402446762221014973 C3(773,829) = 8.425368098449058583 C4(773,829) = 6632 Sum = 3899.779523882680448 Averaged sum = 0.3896272878292217452 logp*logq = 44.69133929959116668 -------------- ************************************* p = 773; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.778644016916177298 E19 -------------- Searches starting with [773,839]-exponents: u = 1, v = 81 n_start has 240 digits starting right neighbors generation We generated 784 left neighbors We generated 9226 right neighbors We generated 10009 non-negative rho_i D1(773,839) = 0.6784419982307177882 D2(773,839) = 0.007800496256315898472 C1(773,839) = 0.9701382535716140201 C2(773,839) = 1.429639466327641679 C3(773,839) = 6.284466758018325132 C4(773,839) = 6712 Sum = 3678.411130662807939 Averaged sum = 0.3675103537479076769 logp*logq = 44.77107981189478776 -------------- ************************************* p = 773; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.101908154232521742 E19 -------------- Searches starting with [773,853]-exponents: u = 1, v = 67 n_start has 200 digits starting right neighbors generation We generated 523 left neighbors We generated 9487 right neighbors We generated 10009 non-negative rho_i D1(773,853) = 0.7580844034707100915 D2(773,853) = 0.01711041103486090492 C1(773,853) = 1.050019096593466360 C2(773,853) = 1.483532342374540704 C3(773,853) = 7.311350022489031253 C4(773,853) = 6824 Sum = 4278.247208686292755 Averaged sum = 0.4274400248462676346 logp*logq = 44.88113422263824417 -------------- ************************************* p = 773; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.199933182438764116 E19 -------------- Searches starting with [773,857]-exponents: u = 1, v = 64 n_start has 191 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(773,857) = 0.7337734396641741053 D2(773,857) = 0.008854165418787651233 C1(773,857) = 1.018941449126310743 C2(773,857) = 1.488275870601066794 C3(773,857) = 6.893275695543040157 C4(773,857) = 6856 Sum = 4033.694679939067976 Averaged sum = 0.4030067619081894271 logp*logq = 44.91224669598666223 -------------- ************************************* p = 773; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.249924457037565734 E19 -------------- Searches starting with [773,859]-exponents: u = 1, v = 63 n_start has 188 digits starting right neighbors generation We generated 491 left neighbors We generated 9519 right neighbors We generated 10009 non-negative rho_i D1(773,859) = 0.8953582938490458572 D2(773,859) = 0.01929626876007372099 C1(773,859) = 1.303256925298512376 C2(773,859) = 1.503345574379105414 C3(773,859) = 11.81331426587633987 C4(773,859) = 6872 Sum = 3340.384553094464073 Averaged sum = 0.3337380910275216378 logp*logq = 44.92774851896992712 -------------- ************************************* p = 773; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.351900213678927325 E19 -------------- Searches starting with [773,863]-exponents: u = 1, v = 60 n_start has 180 digits starting right neighbors generation We generated 412 left neighbors We generated 9598 right neighbors We generated 10009 non-negative rho_i D1(773,863) = 0.5430736550459671679 D2(773,863) = 0.03579619897780784576 C1(773,863) = 0.7568932455425620833 C2(773,863) = 1.529414443192670424 C3(773,863) = 4.195675954970002020 C4(773,863) = 6904 Sum = 3925.915397765508028 Averaged sum = 0.3922385251039572413 logp*logq = 44.95864417987472934 -------------- ************************************* p = 773; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.730512811165553696 E19 -------------- Searches starting with [773,877]-exponents: u = 1, v = 52 n_start has 156 digits starting right neighbors generation We generated 308 left neighbors We generated 9702 right neighbors We generated 10009 non-negative rho_i D1(773,877) = 0.5445388004622442992 D2(773,877) = 0.03719685738404358823 C1(773,877) = 0.8031799047875710284 C2(773,877) = 1.568132861742138264 C3(773,877) = 4.580242239392713579 C4(773,877) = 7016 Sum = 4075.518918882286934 Averaged sum = 0.4071854250057235422 logp*logq = 45.06566247397889372 -------------- ************************************* p = 773; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.845134912584945077 E19 -------------- Searches starting with [773,881]-exponents: u = 1, v = 50 n_start has 151 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(773,881) = 0.6724863462228287881 D2(773,881) = 0.02107429166705195677 C1(773,881) = 0.9949499235785057235 C2(773,881) = 1.563969489988685496 C3(773,881) = 6.586951483689813358 C4(773,881) = 7048 Sum = 4372.175165263239558 Averaged sum = 0.4368243745891936814 logp*logq = 45.09592545702733814 -------------- ************************************* p = 773; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.903558974002405728 E19 -------------- Searches starting with [773,883]-exponents: u = 1, v = 49 n_start has 148 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(773,883) = 1.064006697329196697 D2(773,883) = 0.01062978847515046412 C1(773,883) = 1.576727722539244221 C2(773,883) = 1.559758522730957644 C3(773,883) = 19.83327494462351724 C4(773,883) = 7064 Sum = 5711.922305056014168 Averaged sum = 0.5706786197478283713 logp*logq = 45.11100546133158642 -------------- ************************************* p = 773; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.022672585611021993 E19 -------------- Searches starting with [773,887]-exponents: u = 1, v = 48 n_start has 145 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(773,887) = 0.8092147815821346595 D2(773,887) = 0.03538859905732411510 C1(773,887) = 1.116023260639899001 C2(773,887) = 1.591237653398007569 C3(773,887) = 8.285303723167342095 C4(773,887) = 7096 Sum = 3997.981770548121829 Averaged sum = 0.3994386822407954670 logp*logq = 45.14106327091265635 -------------- ************************************* p = 773; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.665667388628428463 E19 -------------- Searches starting with [773,907]-exponents: u = 1, v = 41 n_start has 125 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(773,907) = 0.5411321348235488134 D2(773,907) = 0.04518952577718377454 C1(773,907) = 0.7719118501007729704 C2(773,907) = 1.645186875645175236 C3(773,907) = 4.316779300658265010 C4(773,907) = 7256 Sum = 4109.889897344330066 Averaged sum = 0.4106194322454121357 logp*logq = 45.28934765389650537 -------------- ************************************* p = 773; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.804221874229398899 E19 -------------- Searches starting with [773,911]-exponents: u = 1, v = 40 n_start has 122 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(773,911) = 0.8448393635607735275 D2(773,911) = 0.04662495929768910446 C1(773,911) = 1.207079709011100623 C2(773,911) = 1.654947126955803619 C3(773,911) = 9.845398732332027976 C4(773,911) = 7288 Sum = 4483.545440360587454 Averaged sum = 0.4479513877870504000 logp*logq = 45.31861185534812959 -------------- ************************************* p = 773; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.091843649675207273 E19 -------------- Searches starting with [773,919]-exponents: u = 1, v = 38 n_start has 116 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(773,919) = 0.6151492163349593977 D2(773,919) = 0.03778810842029576965 C1(773,919) = 0.8818872402742469296 C2(773,919) = 1.663652406412099209 C3(773,919) = 5.316820288248555350 C4(773,919) = 7352 Sum = 4020.807316207576404 Averaged sum = 0.4017191843548382859 logp*logq = 45.37675674201933811 -------------- ************************************* p = 773; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.471831543213986317 E19 -------------- Searches starting with [773,929]-exponents: u = 1, v = 36 n_start has 110 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(773,929) = 0.6199377539720983572 D2(773,929) = 0.04280047541276262979 C1(773,929) = 0.9452327091243223153 C2(773,929) = 1.687842362967973246 C3(773,929) = 5.994806346741707220 C4(773,929) = 7432 Sum = 3374.377633706712701 Averaged sum = 0.3371343424624550605 logp*logq = 45.44873016150188023 -------------- ************************************* p = 773; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.792920109219745414 E19 -------------- Searches starting with [773,937]-exponents: u = 1, v = 34 n_start has 104 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(773,937) = 0.5992854475467031745 D2(773,937) = 0.002772717190873557884 C1(773,937) = 0.8656566986691444452 C2(773,937) = 1.668228464772721479 C3(773,937) = 5.155809286539337073 C4(773,937) = 7496 Sum = 4049.807737854247418 Averaged sum = 0.4046166188284791106 logp*logq = 45.50575326798959205 -------------- ************************************* p = 773; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.959375782826647489 E19 -------------- Searches starting with [773,941]-exponents: u = 1, v = 33 n_start has 102 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(773,941) = 0.6050875598462745066 D2(773,941) = 0.05628416227572750746 C1(773,941) = 0.9275410749102514553 C2(773,941) = 1.722341531829915700 C3(773,941) = 5.797193231175554180 C4(773,941) = 7528 Sum = 3799.905129656590602 Averaged sum = 0.3796488290195414729 logp*logq = 45.53408250805403436 -------------- ************************************* p = 773; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.216671321770397507 E19 -------------- Searches starting with [773,947]-exponents: u = 1, v = 32 n_start has 99 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(773,947) = 0.7650105838028858513 D2(773,947) = 0.05398826591475499799 C1(773,947) = 1.060495733852868940 C2(773,947) = 1.731206097376801099 C3(773,947) = 7.457927730077242459 C4(773,947) = 7576 Sum = 3980.680602365008114 Averaged sum = 0.3977101211274860739 logp*logq = 45.57635137311855411 -------------- ************************************* p = 773; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.483344529193193899 E19 -------------- Searches starting with [773,953]-exponents: u = 1, v = 31 n_start has 96 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(773,953) = 0.6147251256894179897 D2(773,953) = 0.04568283190354005914 C1(773,953) = 0.8536279929743538961 C2(773,953) = 1.734544673824347040 C3(773,953) = 5.039635723848606925 C4(773,953) = 7624 Sum = 3943.917518316663832 Averaged sum = 0.3940371184250838077 logp*logq = 45.61835327514956739 -------------- ************************************* p = 773; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.143632948446158059 E19 -------------- Searches starting with [773,967]-exponents: u = 1, v = 29 n_start has 90 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(773,967) = 0.5930729018808269436 D2(773,967) = 0.03561238951238642442 C1(773,967) = 0.8415762808743918271 C2(773,967) = 1.749683069680979752 C3(773,967) = 4.925865128856997302 C4(773,967) = 7736 Sum = 3990.238694338944430 Averaged sum = 0.3986650708701113428 logp*logq = 45.71533823014422168 -------------- ************************************* p = 773; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.342457784010898586 E19 -------------- Searches starting with [773,971]-exponents: u = 1, v = 29 n_start has 90 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(773,971) = 0.7068388758654370780 D2(773,971) = 0.08626042980031868291 C1(773,971) = 0.9644553560869199735 C2(773,971) = 1.800924305273237896 C3(773,971) = 6.217163930419147631 C4(773,971) = 7768 Sum = 3543.121646537569616 Averaged sum = 0.3539935704403606371 logp*logq = 45.74279040142211444 -------------- ************************************* p = 773; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.649502212600742871 E19 -------------- Searches starting with [773,977]-exponents: u = 1, v = 28 n_start has 87 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(773,977) = 0.7405821146318324971 D2(773,977) = 0.05488941801302713886 C1(773,977) = 1.021750211394111116 C2(773,977) = 1.782919844370979623 C3(773,977) = 6.930057051781824755 C4(773,977) = 7816 Sum = 4019.699049732301696 Averaged sum = 0.4016084573616047253 logp*logq = 45.78375734235988311 -------------- ************************************* p = 773; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.967387894270278763 E19 -------------- Searches starting with [773,983]-exponents: u = 1, v = 27 n_start has 84 digits starting right neighbors generation We generated 109 left neighbors We generated 9901 right neighbors We generated 10009 non-negative rho_i D1(773,983) = 0.8930874181383055373 D2(773,983) = 0.02039110900945685610 C1(773,983) = 1.272963104373950662 C2(773,983) = 1.762474842682122065 C3(773,983) = 11.15436351649284381 C4(773,983) = 7864 Sum = 4333.640833095540861 Averaged sum = 0.4329744063438446260 logp*logq = 45.82447346372011152 -------------- ************************************* p = 773; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.408641801910256686 E19 -------------- Searches starting with [773,991]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(773,991) = 0.6026004677589926623 D2(773,991) = 0.002087927016659035937 C1(773,991) = 0.8450298231313852178 C2(773,991) = 1.759275764428802159 C3(773,991) = 4.958202144506263048 C4(773,991) = 7928 Sum = 3950.208177697289396 Averaged sum = 0.3946656187128873410 logp*logq = 45.87837672984025227 -------------- ************************************* p = 773; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.753053529642107300 E19 -------------- Searches starting with [773,997]-exponents: u = 1, v = 26 n_start has 81 digits starting right neighbors generation We generated 105 left neighbors We generated 9905 right neighbors We generated 10009 non-negative rho_i D1(773,997) = 0.6481157300597946437 D2(773,997) = 0.06398720955926032795 C1(773,997) = 1.020715716477120088 C2(773,997) = 1.822055511170329320 C3(773,997) = 6.916487339365093784 C4(773,997) = 7976 Sum = 3456.271469804723353 Averaged sum = 0.3453163622544433363 logp*logq = 45.91851938119508345 -------------- ************************************* p = 787; q = 797; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.226313605253764156 E19 -------------- Searches starting with [787,797]-exponents: u = 1, v = 528 n_start has 1535 digits --- performed 5000 steps in the continued fraction search [787,797]-exponents: u = 284, v = 236 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(787,797) = 0.7981680397231418625 D2(787,797) = 0.1670315557200191961 C1(787,797) = 1.039662278718894858 C2(787,797) = 1.244074341806038072 C3(787,797) = 7.189399040954379553 C4(787,797) = 6376 Sum = 5350.408848927957706 Averaged sum = 0.5350943943322289935 logp*logq = 44.54946389268048869 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(787,797) = 0.7981680397231418625 D2(787,797) = 0.1670315557200191961 C1(787,797) = 1.039662278718894858 C2(787,797) = 1.244074341806038072 C3(787,797) = 7.189399040954379553 C4(787,797) = 6376 Sum = 5350.408848927957706 Averaged sum = 0.5350943943322289935 logp*logq = 44.54946389268048869 -------------- ************************************* p = 787; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.459599956878405935 E19 -------------- Searches starting with [787,809]-exponents: u = 1, v = 241 n_start has 704 digits --- performed 5000 steps in the continued fraction search [787,809]-exponents: u = 149, v = 72 --- starting right neighbors generation We generated 5992 left neighbors We generated 4018 right neighbors We generated 10009 non-negative rho_i D1(787,809) = 0.7511949881761192887 D2(787,809) = 0.002138146152258050979 C1(787,809) = 1.010664680363150295 C2(787,809) = 1.207300256037453155 C3(787,809) = 6.804532067801633463 C4(787,809) = 6472 Sum = 4890.053751221432648 Averaged sum = 0.4885656660227228143 logp*logq = 44.64911548445209143 -------------- ************************************* p = 787; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.500431925215693195 E19 -------------- Searches starting with [787,811]-exponents: u = 1, v = 221 n_start has 646 digits --- performed 5000 steps in the continued fraction search [787,811]-exponents: u = 170, v = 29 --- starting right neighbors generation We generated 5075 left neighbors We generated 4935 right neighbors We generated 10009 non-negative rho_i D1(787,811) = 1.013620576213883723 D2(787,811) = 0.0007906185651166196484 C1(787,811) = 1.369295841106347921 C2(787,811) = 1.220738074510689152 C3(787,811) = 13.43736430943951704 C4(787,811) = 6488 Sum = 4912.915368747628838 Averaged sum = 0.4908497720798909819 logp*logq = 44.66558025392426780 -------------- ************************************* p = 787; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.713347176456863776 E19 -------------- Searches starting with [787,821]-exponents: u = 1, v = 157 n_start has 461 digits starting right neighbors generation We generated 2566 left neighbors We generated 7444 right neighbors We generated 10009 non-negative rho_i D1(787,821) = 0.6080932191102673337 D2(787,821) = 0.009119692936561801022 C1(787,821) = 0.8357101110518869415 C2(787,821) = 1.290548305806025449 C3(787,821) = 4.882405773565528756 C4(787,821) = 6568 Sum = 4654.696102710453613 Averaged sum = 0.4650510643131635141 logp*logq = 44.74729976010847168 -------------- ************************************* p = 787; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.757728685403336494 E19 -------------- Searches starting with [787,823]-exponents: u = 1, v = 149 n_start has 438 digits starting right neighbors generation We generated 2430 left neighbors We generated 7580 right neighbors We generated 10009 non-negative rho_i D1(787,823) = 0.8078419085934289190 D2(787,823) = 0.005480313847041575835 C1(787,823) = 1.113743914013413378 C2(787,823) = 1.298122752435635452 C3(787,823) = 8.274402283858033296 C4(787,823) = 6584 Sum = 4416.255882786084603 Averaged sum = 0.4412284826442286544 logp*logq = 44.76352416774360323 -------------- ************************************* p = 787; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.848345410069313548 E19 -------------- Searches starting with [787,827]-exponents: u = 1, v = 134 n_start has 394 digits starting right neighbors generation We generated 1934 left neighbors We generated 8076 right neighbors We generated 10009 non-negative rho_i D1(787,827) = 0.5422916566181932316 D2(787,827) = 0.007150421766358347818 C1(787,827) = 0.7517342845612320475 C2(787,827) = 1.320064086692702357 C3(787,827) = 4.163292377397318511 C4(787,827) = 6616 Sum = 4561.376464352645009 Averaged sum = 0.4557274916927410340 logp*logq = 44.79585503470803681 -------------- ************************************* p = 787; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.894594717211972188 E19 -------------- Searches starting with [787,829]-exponents: u = 1, v = 128 n_start has 377 digits starting right neighbors generation We generated 1844 left neighbors We generated 8166 right neighbors We generated 10009 non-negative rho_i D1(787,829) = 0.6387378242408097717 D2(787,829) = 0.001201851900341496798 C1(787,829) = 0.8881128277737671092 C2(787,829) = 1.324448695075520528 C3(787,829) = 5.392799291404568540 C4(787,829) = 6632 Sum = 4245.801654074219277 Averaged sum = 0.4241983868592486039 logp*logq = 44.81196187405715779 -------------- ************************************* p = 787; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.135538219704385371 E19 -------------- Searches starting with [787,839]-exponents: u = 1, v = 104 n_start has 307 digits starting right neighbors generation We generated 1205 left neighbors We generated 8805 right neighbors We generated 10009 non-negative rho_i D1(787,839) = 0.6499345328208850477 D2(787,839) = 0.01242525634421836947 C1(787,839) = 0.9149048457346305434 C2(787,839) = 1.378530879764498600 C3(787,839) = 5.674023890069203714 C4(787,839) = 6712 Sum = 3998.568760258097852 Averaged sum = 0.3994973284302225848 logp*logq = 44.89191760716270699 -------------- ************************************* p = 787; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.501362888707874018 E19 -------------- Searches starting with [787,853]-exponents: u = 1, v = 82 n_start has 244 digits starting right neighbors generation We generated 719 left neighbors We generated 9291 right neighbors We generated 10009 non-negative rho_i D1(787,853) = 0.6534915482185667847 D2(787,853) = 0.02152288177235692978 C1(787,853) = 0.9333281983255500373 C2(787,853) = 1.439287173888444982 C3(787,853) = 5.875870223104630216 C4(787,853) = 6824 Sum = 4534.700122757678595 Averaged sum = 0.4530622562451472270 logp*logq = 45.00226905636066625 -------------- ************************************* p = 787; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.612314619932190442 E19 -------------- Searches starting with [787,857]-exponents: u = 1, v = 78 n_start has 232 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(787,857) = 0.6082091053752429341 D2(787,857) = 0.02521778829012601733 C1(787,857) = 0.8723154874783298891 C2(787,857) = 1.456169281165887747 C3(787,857) = 5.233558505480930684 C4(787,857) = 6856 Sum = 3611.912225623596468 Averaged sum = 0.3608664427638721619 logp*logq = 45.03346550272694652 -------------- ************************************* p = 787; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.668901866920825050 E19 -------------- Searches starting with [787,859]-exponents: u = 1, v = 76 n_start has 226 digits starting right neighbors generation We generated 665 left neighbors We generated 9345 right neighbors We generated 10009 non-negative rho_i D1(787,859) = 0.6702361987243780570 D2(787,859) = 0.02197148657511340771 C1(787,859) = 0.9629942692387554165 C2(787,859) = 1.459876233776880654 C3(787,859) = 6.216090773938814604 C4(787,859) = 6872 Sum = 3581.147503737136531 Averaged sum = 0.3577927369104942083 logp*logq = 45.04900916535579963 -------------- ************************************* p = 787; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.784339803403618868 E19 -------------- Searches starting with [787,863]-exponents: u = 1, v = 72 n_start has 215 digits starting right neighbors generation We generated 629 left neighbors We generated 9381 right neighbors We generated 10009 non-negative rho_i D1(787,863) = 0.5599218751883065117 D2(787,863) = 0.005647998374516233282 C1(787,863) = 0.8075377315457090324 C2(787,863) = 1.458264484795515574 C3(787,863) = 4.628279044466438574 C4(787,863) = 6904 Sum = 3835.559078324986429 Averaged sum = 0.3832110179163739064 logp*logq = 45.07998821409852686 -------------- ************************************* p = 787; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.213015176308690439 E19 -------------- Searches starting with [787,877]-exponents: u = 1, v = 61 n_start has 183 digits starting right neighbors generation We generated 419 left neighbors We generated 9591 right neighbors We generated 10009 non-negative rho_i D1(787,877) = 0.5945643823108225427 D2(787,877) = 0.03126255407627371081 C1(787,877) = 0.8282079232424182505 C2(787,877) = 1.522460852046955142 C3(787,877) = 4.813400395408962939 C4(787,877) = 7016 Sum = 4240.758700532938851 Averaged sum = 0.4236945449628273405 logp*logq = 45.18729535213424737 -------------- ************************************* p = 787; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.342817141723177801 E19 -------------- Searches starting with [787,881]-exponents: u = 1, v = 59 n_start has 177 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(787,881) = 0.7473282345858638078 D2(787,881) = 0.001661296153911653321 C1(787,881) = 1.093648901112753429 C2(787,881) = 1.507415753827398429 C3(787,881) = 7.964859711415228251 C4(787,881) = 7048 Sum = 3218.894256473056067 Averaged sum = 0.3215999856602114164 logp*logq = 45.21764001541388498 -------------- ************************************* p = 787; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.408982573930640864 E19 -------------- Searches starting with [787,883]-exponents: u = 1, v = 57 n_start has 171 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(787,883) = 0.8206432236957241964 D2(787,883) = 0.003413243620140369169 C1(787,883) = 1.202503815846547278 C2(787,883) = 1.514358212850723877 C3(787,883) = 9.792097268261027293 C4(787,883) = 7064 Sum = 4922.730147812485983 Averaged sum = 0.4918303674505431095 logp*logq = 45.23276072086897465 -------------- ************************************* p = 787; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.543887349317268520 E19 -------------- Searches starting with [787,887]-exponents: u = 1, v = 55 n_start has 166 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(787,887) = 0.5860076161975117103 D2(787,887) = 0.001981167414347784208 C1(787,887) = 0.8610137774043855388 C2(787,887) = 1.523698749630139718 C3(787,887) = 5.122528179658658094 C4(787,887) = 7096 Sum = 4205.018388273011745 Averaged sum = 0.4201237274725758562 logp*logq = 45.26289965691506664 -------------- ************************************* p = 787; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.272304190086027046 E19 -------------- Searches starting with [787,907]-exponents: u = 1, v = 46 n_start has 139 digits starting right neighbors generation We generated 229 left neighbors We generated 9781 right neighbors We generated 10009 non-negative rho_i D1(787,907) = 1.101392295478039877 D2(787,907) = 0.04807355668641965831 C1(787,907) = 1.641207016017856236 C2(787,907) = 1.613247759869667706 C3(787,907) = 22.50980554427613604 C4(787,907) = 7256 Sum = 5816.171324693740187 Averaged sum = 0.5810941477364112485 logp*logq = 45.41158426160426018 -------------- ************************************* p = 787; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.429302543530997573 E19 -------------- Searches starting with [787,911]-exponents: u = 1, v = 45 n_start has 137 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(787,911) = 0.5931394825643418871 D2(787,911) = 0.008560886061980741582 C1(787,911) = 0.8414306507414193763 C2(787,911) = 1.587571538387571515 C3(787,911) = 4.935687502583498140 C4(787,911) = 7288 Sum = 4181.292684104293494 Averaged sum = 0.4177532904490252267 logp*logq = 45.44092744756102807 -------------- ************************************* p = 787; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.755250112359180153 E19 -------------- Searches starting with [787,919]-exponents: u = 1, v = 43 n_start has 131 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(787,919) = 1.268834885678869858 D2(787,919) = 0.02685746616842795019 C1(787,919) = 1.905016216284332346 C2(787,919) = 1.621213228118916891 C3(787,919) = 37.13242246941414536 C4(787,919) = 7352 Sum = 2815.248955705371174 Averaged sum = 0.2812717509946419397 logp*logq = 45.49922926812663834 -------------- ************************************* p = 787; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.185947442513097887 E19 -------------- Searches starting with [787,929]-exponents: u = 1, v = 40 n_start has 122 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(787,929) = 0.9805744759612767200 D2(787,929) = 0.06445543655229058336 C1(787,929) = 1.329774989685381444 C2(787,929) = 1.675480492832775537 C3(787,929) = 12.46661354581325288 C4(787,929) = 7432 Sum = 3317.756352582164610 Averaged sum = 0.3314773056831016695 logp*logq = 45.57139694491467106 -------------- ************************************* p = 787; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.549948524156624424 E19 -------------- Searches starting with [787,937]-exponents: u = 1, v = 38 n_start has 116 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(787,937) = 0.5801861748841776925 D2(787,937) = 0.05136877665210573137 C1(787,937) = 0.8806761822722478784 C2(787,937) = 1.679931195131674823 C3(787,937) = 5.317241472260028313 C4(787,937) = 7496 Sum = 3593.116276162474082 Averaged sum = 0.3589885379321085105 logp*logq = 45.62857395759576159 -------------- ************************************* p = 787; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.738672127592162739 E19 -------------- Searches starting with [787,941]-exponents: u = 1, v = 37 n_start has 113 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(787,941) = 0.6729507515893398921 D2(787,941) = 0.03923976256809152290 C1(787,941) = 0.9420433111509722445 C2(787,941) = 1.677059581093265227 C3(787,941) = 5.973839350699634067 C4(787,941) = 7528 Sum = 3945.515946091411792 Averaged sum = 0.3941968174734151056 logp*logq = 45.65697965869097165 -------------- ************************************* p = 787; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.030415733643343788 E19 -------------- Searches starting with [787,947]-exponents: u = 1, v = 36 n_start has 111 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(787,947) = 0.9382917554191631254 D2(787,947) = 0.05251763217149577696 C1(787,947) = 1.431319619025830159 C2(787,947) = 1.700248482721555564 C3(787,947) = 15.11549358704122007 C4(787,947) = 7576 Sum = 2472.024175288884794 Averaged sum = 0.2469801354070221594 logp*logq = 45.69936260803678042 -------------- ************************************* p = 787; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.332826927208440227 E19 -------------- Searches starting with [787,953]-exponents: u = 1, v = 34 n_start has 105 digits starting right neighbors generation We generated 137 left neighbors We generated 9873 right neighbors We generated 10009 non-negative rho_i D1(787,953) = 0.6351656515152959628 D2(787,953) = 0.06025361757207145501 C1(787,953) = 0.9714647569313054624 C2(787,953) = 1.718278927757456140 C3(787,953) = 6.316799878518691679 C4(787,953) = 7624 Sum = 3860.600541296881128 Averaged sum = 0.3857129125084305253 logp*logq = 45.74147787381197435 -------------- ************************************* p = 787; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.081745090198910942 E19 -------------- Searches starting with [787,967]-exponents: u = 1, v = 32 n_start has 99 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(787,967) = 0.5618608364958919324 D2(787,967) = 0.08644007720320447261 C1(787,967) = 0.7933523664805786824 C2(787,967) = 1.766621415119138573 C3(787,967) = 4.505371900270943284 C4(787,967) = 7736 Sum = 4041.595966602850351 Averaged sum = 0.4037961800981966581 logp*logq = 45.83872459261006942 -------------- ************************************* p = 787; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.307295385171524257 E19 -------------- Searches starting with [787,971]-exponents: u = 1, v = 31 n_start has 96 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(787,971) = 0.6858989491262334214 D2(787,971) = 0.04744978889940643558 C1(787,971) = 0.9528406054331105029 C2(787,971) = 1.738976256602455412 C3(787,971) = 6.097483344758704687 C4(787,971) = 7768 Sum = 4040.672338314798922 Averaged sum = 0.4037039003211908204 logp*logq = 45.86625085769732473 -------------- ************************************* p = 787; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.655644072712553005 E19 -------------- Searches starting with [787,977]-exponents: u = 1, v = 30 n_start has 93 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(787,977) = 0.9034321140009734589 D2(787,977) = 0.03179667823029382183 C1(787,977) = 1.229791953335630007 C2(787,977) = 1.735487764614413202 C3(787,977) = 10.31243987451054248 C4(787,977) = 7816 Sum = 3695.444683969122986 Averaged sum = 0.3692121774372188017 logp*logq = 45.90732836900423772 -------------- ************************************* p = 787; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.016332156852843855 E19 -------------- Searches starting with [787,983]-exponents: u = 1, v = 29 n_start has 90 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(787,983) = 1.077338710818467581 D2(787,983) = 0.01134394986716092968 C1(787,983) = 1.672592274790699300 C2(787,983) = 1.727772752150674358 C3(787,983) = 23.89095579331052631 C4(787,983) = 7864 Sum = 5204.021671330813204 Averaged sum = 0.5199342263293848740 logp*logq = 45.94815438376792440 -------------- ************************************* p = 787; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.517063722332396174 E19 -------------- Searches starting with [787,991]-exponents: u = 1, v = 28 n_start has 87 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(787,991) = 0.7804250720206300589 D2(787,991) = 0.006829011925383126267 C1(787,991) = 1.215784334627954207 C2(787,991) = 1.736913674587929705 C3(787,991) = 10.04197197851854201 C4(787,991) = 7928 Sum = 4085.710298891081075 Averaged sum = 0.4082036466071616620 logp*logq = 46.00220313558693738 -------------- ************************************* p = 787; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.907949013834312969 E19 -------------- Searches starting with [787,997]-exponents: u = 1, v = 28 n_start has 87 digits starting right neighbors generation We generated 113 left neighbors We generated 9897 right neighbors We generated 10009 non-negative rho_i D1(787,997) = 0.6916755366140608575 D2(787,997) = 0.07437631303406509387 C1(787,997) = 0.9550096198185449469 C2(787,997) = 1.805332428793723332 C3(787,997) = 6.122628563537953624 C4(787,997) = 7976 Sum = 3755.703007667799396 Averaged sum = 0.3752325914344888996 logp*logq = 46.04245413254134549 -------------- ************************************* p = 797; q = 809; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.676587751910904756 E19 -------------- Searches starting with [797,809]-exponents: u = 1, v = 447 n_start has 1303 digits --- performed 5000 steps in the continued fraction search [797,809]-exponents: u = 138, v = 299 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(797,809) = 0.8939992688905401504 D2(797,809) = 0.1250639586322737757 C1(797,809) = 1.172129006706419778 C2(797,809) = 1.228046498202627770 C3(797,809) = 9.264234558850004346 C4(797,809) = 6472 Sum = 5251.631548800574560 Averaged sum = 0.5252156764477022262 logp*logq = 44.73365952326867921 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(797,809) = 0.8939992688905401504 D2(797,809) = 0.1250639586322737757 C1(797,809) = 1.172129006706419778 C2(797,809) = 1.228046498202627770 C3(797,809) = 9.264234558850004346 C4(797,809) = 6472 Sum = 5251.631548800574560 Averaged sum = 0.5252156764477022262 logp*logq = 44.73365952326867921 -------------- ************************************* p = 797; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.721106780774418445 E19 -------------- Searches starting with [797,811]-exponents: u = 1, v = 383 n_start has 1118 digits --- performed 5000 steps in the continued fraction search [797,811]-exponents: u = 99, v = 272 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(797,811) = 0.5677617834036928456 D2(797,811) = 0.07372499294673929615 C1(797,811) = 0.7489724776601025208 C2(797,811) = 1.201619976559550168 C3(797,811) = 4.147405368685614987 C4(797,811) = 6488 Sum = 5161.935930887511667 Averaged sum = 0.5162452176105122179 logp*logq = 44.75015546912798572 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(797,811) = 0.5677617834036928456 D2(797,811) = 0.07372499294673929615 C1(797,811) = 0.7489724776601025208 C2(797,811) = 1.201619976559550168 C3(797,811) = 4.147405368685614987 C4(797,811) = 6488 Sum = 5161.935930887511667 Averaged sum = 0.5162452176105122179 logp*logq = 44.75015546912798572 -------------- ************************************* p = 797; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.953269748985556697 E19 -------------- Searches starting with [797,821]-exponents: u = 1, v = 225 n_start has 659 digits --- performed 5000 steps in the continued fraction search [797,821]-exponents: u = 78, v = 125 --- starting right neighbors generation We generated 5374 left neighbors We generated 4636 right neighbors We generated 10009 non-negative rho_i D1(797,821) = 0.7114947425175408668 D2(797,821) = 0.001478019758467208733 C1(797,821) = 0.9607882886165042443 C2(797,821) = 1.220284476619837425 C3(797,821) = 6.201388646548337445 C4(797,821) = 6568 Sum = 4790.907707665283587 Averaged sum = 0.4786599767874196810 logp*logq = 44.83202971291511739 -------------- ************************************* p = 797; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.001667822190019518 E19 -------------- Searches starting with [797,823]-exponents: u = 1, v = 208 n_start has 610 digits starting right neighbors generation We generated 4576 left neighbors We generated 5434 right neighbors We generated 10009 non-negative rho_i D1(797,823) = 0.7715585630899619602 D2(797,823) = 0.004315426150534153783 C1(797,823) = 1.045854427462373941 C2(797,823) = 1.236581063313335003 C3(797,823) = 7.288769652326561852 C4(797,823) = 6584 Sum = 4724.809906287575320 Averaged sum = 0.4720561401026651334 logp*logq = 44.84828484180718757 -------------- ************************************* p = 797; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.100489992387315924 E19 -------------- Searches starting with [797,827]-exponents: u = 1, v = 180 n_start has 529 digits starting right neighbors generation We generated 3286 left neighbors We generated 6724 right neighbors We generated 10009 non-negative rho_i D1(797,827) = 0.6960690701709105772 D2(797,827) = 0.01022654735600659260 C1(797,827) = 0.9501053204559180880 C2(797,827) = 1.267243283880910327 C3(797,827) = 6.076832917125639998 C4(797,827) = 6616 Sum = 4744.751063603467104 Averaged sum = 0.4740484627438772209 logp*logq = 44.88067692794790174 -------------- ************************************* p = 797; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.150929532687126825 E19 -------------- Searches starting with [797,829]-exponents: u = 1, v = 169 n_start has 497 digits starting right neighbors generation We generated 2924 left neighbors We generated 7086 right neighbors We generated 10009 non-negative rho_i D1(797,829) = 0.6361974508639577607 D2(797,829) = 0.01033888204807781029 C1(797,829) = 0.8711983222659124098 C2(797,829) = 1.279113598573280628 C3(797,829) = 5.231091016505450496 C4(797,829) = 6632 Sum = 4696.087363151359683 Averaged sum = 0.4691864684934918256 logp*logq = 44.89681426593594019 -------------- ************************************* p = 797; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.413726910191230068 E19 -------------- Searches starting with [797,839]-exponents: u = 1, v = 130 n_start has 383 digits starting right neighbors generation We generated 1874 left neighbors We generated 8136 right neighbors We generated 10009 non-negative rho_i D1(797,839) = 0.7950060471294424917 D2(797,839) = 0.006349257975389560640 C1(797,839) = 1.104719380377896246 C2(797,839) = 1.327619288965544586 C3(797,839) = 8.150944269034085736 C4(797,839) = 6712 Sum = 4266.514992593108327 Averaged sum = 0.4262678581869425844 logp*logq = 44.97692139690301339 -------------- ************************************* p = 797; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.812804593056866625 E19 -------------- Searches starting with [797,853]-exponents: u = 1, v = 98 n_start has 291 digits starting right neighbors generation We generated 1044 left neighbors We generated 8966 right neighbors We generated 10009 non-negative rho_i D1(797,853) = 0.5589087800268746462 D2(797,853) = 0.01796709495783205707 C1(797,853) = 0.7899178507190824657 C2(797,853) = 1.397805773972728364 C3(797,853) = 4.482801829417553045 C4(797,853) = 6824 Sum = 3912.943286204480766 Averaged sum = 0.3909424803880987877 logp*logq = 45.08748179888991890 -------------- ************************************* p = 797; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.933857707942427073 E19 -------------- Searches starting with [797,857]-exponents: u = 1, v = 92 n_start has 273 digits starting right neighbors generation We generated 978 left neighbors We generated 9032 right neighbors We generated 10009 non-negative rho_i D1(797,857) = 0.8930668977768543198 D2(797,857) = 0.01181901830614455059 C1(797,857) = 1.267279442799185733 C2(797,857) = 1.407462842784514745 C3(797,857) = 11.09922535384621093 C4(797,857) = 6856 Sum = 3858.459814807874796 Averaged sum = 0.3854990323516709757 logp*logq = 45.11873731638322852 -------------- ************************************* p = 797; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.995599555294995545 E19 -------------- Searches starting with [797,859]-exponents: u = 1, v = 89 n_start has 265 digits starting right neighbors generation We generated 945 left neighbors We generated 9065 right neighbors We generated 10009 non-negative rho_i D1(797,859) = 0.6718632727501985978 D2(797,859) = 0.001731222015339707790 C1(797,859) = 0.9554396987517328299 C2(797,859) = 1.405834197988329483 C3(797,859) = 6.138712040199277754 C4(797,859) = 6872 Sum = 3797.014770615003720 Averaged sum = 0.3793600530137879628 logp*logq = 45.13431041126403975 -------------- ************************************* p = 797; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.121558434335686509 E19 -------------- Searches starting with [797,863]-exponents: u = 1, v = 83 n_start has 247 digits starting right neighbors generation We generated 728 left neighbors We generated 9282 right neighbors We generated 10009 non-negative rho_i D1(797,863) = 0.9657089171292532052 D2(797,863) = 0.01944760432473920327 C1(797,863) = 1.378552199211161159 C2(797,863) = 1.435678714728286625 C3(797,863) = 13.71115379410599225 C4(797,863) = 6904 Sum = 5298.661504984577382 Averaged sum = 0.5293896997686659389 logp*logq = 45.16534811948682584 -------------- ************************************* p = 797; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.589365039844913263 E19 -------------- Searches starting with [797,877]-exponents: u = 1, v = 69 n_start has 206 digits starting right neighbors generation We generated 539 left neighbors We generated 9471 right neighbors We generated 10009 non-negative rho_i D1(797,877) = 0.6824528944977719461 D2(797,877) = 0.01292957293989916467 C1(797,877) = 0.9865212074993766584 C2(797,877) = 1.475128438271851310 C3(797,877) = 6.511998403622222415 C4(797,877) = 7016 Sum = 4570.899494429396586 Averaged sum = 0.4566789383983811156 logp*logq = 45.27285844584430712 -------------- ************************************* p = 797; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.731034081517776543 E19 -------------- Searches starting with [797,881]-exponents: u = 1, v = 66 n_start has 198 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(797,881) = 0.5561029165488988486 D2(797,881) = 0.008247090655173240978 C1(797,881) = 0.8064108368312184997 C2(797,881) = 1.482913336008111913 C3(797,881) = 4.625444599482530262 C4(797,881) = 7048 Sum = 4266.262920726695910 Averaged sum = 0.4262426736663698581 logp*logq = 45.30326056738179271 -------------- ************************************* p = 797; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.803251754118393951 E19 -------------- Searches starting with [797,883]-exponents: u = 1, v = 65 n_start has 195 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(797,883) = 0.6386132491353515560 D2(797,883) = 0.01997421658938548891 C1(797,883) = 0.9281113092553083540 C2(797,883) = 1.499072938508501691 C3(797,883) = 5.828219917822735386 C4(797,883) = 7064 Sum = 3346.492967014015470 Averaged sum = 0.3343483831565606424 logp*logq = 45.31840990421054027 -------------- ************************************* p = 797; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.950502774747801309 E19 -------------- Searches starting with [797,887]-exponents: u = 1, v = 62 n_start has 186 digits starting right neighbors generation We generated 483 left neighbors We generated 9527 right neighbors We generated 10009 non-negative rho_i D1(797,887) = 0.6540105123941245669 D2(797,887) = 0.001264729920912201768 C1(797,887) = 0.9104264555838820313 C2(797,887) = 1.493951980914420816 C3(797,887) = 5.635713371647209454 C4(797,887) = 7096 Sum = 3973.676972343854479 Averaged sum = 0.3970103878852886881 logp*logq = 45.34860590896563858 -------------- ************************************* p = 797; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.745720312417318494 E19 -------------- Searches starting with [797,907]-exponents: u = 1, v = 51 n_start has 154 digits starting right neighbors generation We generated 302 left neighbors We generated 9708 right neighbors We generated 10009 non-negative rho_i D1(797,907) = 0.8361672774442378458 D2(797,907) = 0.03229573440354043822 C1(797,907) = 1.149857818297762146 C2(797,907) = 1.573335960455780047 C3(797,907) = 8.880543641909008137 C4(797,907) = 7256 Sum = 4035.295416749752299 Averaged sum = 0.4031666916524879907 logp*logq = 45.49757205107956900 -------------- ************************************* p = 797; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.917144781260911662 E19 -------------- Searches starting with [797,911]-exponents: u = 1, v = 49 n_start has 148 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(797,911) = 0.9667642466558628466 D2(797,911) = 0.01001563118389597145 C1(797,911) = 1.433754196794062197 C2(797,911) = 1.563354275156726095 C3(797,911) = 15.22672056078943098 C4(797,911) = 7288 Sum = 5353.289543793614662 Averaged sum = 0.5348475915469691939 logp*logq = 45.52697079897582021 -------------- ************************************* p = 797; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.273072386213569950 E19 -------------- Searches starting with [797,919]-exponents: u = 1, v = 46 n_start has 140 digits starting right neighbors generation We generated 229 left neighbors We generated 9781 right neighbors We generated 10009 non-negative rho_i D1(797,919) = 0.7458787866418623716 D2(797,919) = 0.05199820974555301498 C1(797,919) = 1.111813606946688764 C2(797,919) = 1.618954636179759202 C3(797,919) = 8.261510686814931531 C4(797,919) = 7352 Sum = 4535.330899045872146 Averaged sum = 0.4531252771551475818 logp*logq = 45.58538301526433552 -------------- ************************************* p = 797; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.743442668381613095 E19 -------------- Searches starting with [797,929]-exponents: u = 1, v = 43 n_start has 131 digits starting right neighbors generation We generated 214 left neighbors We generated 9796 right neighbors We generated 10009 non-negative rho_i D1(797,929) = 0.5541466465334689232 D2(797,929) = 0.05500615369081429151 C1(797,929) = 0.7886214301090264742 C2(797,929) = 1.643646189441566654 C3(797,929) = 4.471777755524669957 C4(797,929) = 7432 Sum = 4134.729762230226940 Averaged sum = 0.4131011851563819503 logp*logq = 45.65768734306552873 -------------- ************************************* p = 797; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.141021652746711121 E19 -------------- Searches starting with [797,937]-exponents: u = 1, v = 41 n_start has 125 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(797,937) = 0.5501646174878073707 D2(797,937) = 0.06381853943823635873 C1(797,937) = 0.7658660116234341115 C2(797,937) = 1.668296169315828728 C3(797,937) = 4.282632548331575120 C4(797,937) = 7496 Sum = 3796.041058972227571 Averaged sum = 0.3792627694047584745 logp*logq = 45.71497262162214843 -------------- ************************************* p = 797; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.347171010648625187 E19 -------------- Searches starting with [797,941]-exponents: u = 1, v = 40 n_start has 122 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(797,941) = 0.5825397685471665292 D2(797,941) = 0.06227733130640482380 C1(797,941) = 0.8804811721479741916 C2(797,941) = 1.675075150398459771 C3(797,941) = 5.324135113997382541 C4(797,941) = 7528 Sum = 3529.937847942471025 Averaged sum = 0.3526763760557968853 logp*logq = 45.74343210950954796 -------------- ************************************* p = 797; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.665874110102173615 E19 -------------- Searches starting with [797,947]-exponents: u = 1, v = 38 n_start has 117 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(797,947) = 0.5530389619144416341 D2(797,947) = 0.01790100279954568816 C1(797,947) = 0.8377750201154488679 C2(797,947) = 1.647939896536996289 C3(797,947) = 4.909346284181862980 C4(797,947) = 7576 Sum = 4027.625406092044268 Averaged sum = 0.4024003802669641591 logp*logq = 45.78589531186094877 -------------- ************************************* p = 797; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.996256997586910222 E19 -------------- Searches starting with [797,953]-exponents: u = 1, v = 37 n_start has 114 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(797,953) = 0.5768616281533587012 D2(797,953) = 0.03470605435965667942 C1(797,953) = 0.8077624090916612397 C2(797,953) = 1.674294655205822863 C3(797,953) = 4.637333220583934493 C4(797,953) = 7624 Sum = 4026.173332631488369 Averaged sum = 0.4022553034900078298 logp*logq = 45.82809032377726634 -------------- ************************************* p = 797; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.814555722371240132 E19 -------------- Searches starting with [797,967]-exponents: u = 1, v = 34 n_start has 105 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(797,967) = 0.6253589858960947006 D2(797,967) = 0.002226368946018016740 C1(797,967) = 0.9039918806360947001 C2(797,967) = 1.672132568629045851 C3(797,967) = 5.567259353602969003 C4(797,967) = 7736 Sum = 4080.412784075667866 Averaged sum = 0.4076743714732408698 logp*logq = 45.92552118128179816 -------------- ************************************* p = 797; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.061030008304666997 E19 -------------- Searches starting with [797,971]-exponents: u = 1, v = 33 n_start has 102 digits starting right neighbors generation We generated 133 left neighbors We generated 9877 right neighbors We generated 10009 non-negative rho_i D1(797,971) = 0.6213080694122127528 D2(797,971) = 0.05381663945020928607 C1(797,971) = 0.9532071686770918721 C2(797,971) = 1.724305696230563342 C3(797,971) = 6.112738247075031692 C4(797,971) = 7768 Sum = 3836.213381256889450 Averaged sum = 0.3832763893752512189 logp*logq = 45.95309956793067372 -------------- ************************************* p = 797; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.441719306333116037 E19 -------------- Searches starting with [797,977]-exponents: u = 1, v = 32 n_start has 99 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(797,977) = 0.6755051458044173717 D2(797,977) = 0.04863748498051335880 C1(797,977) = 0.9255982526126161574 C2(797,977) = 1.730277497938617055 C3(797,977) = 5.800468613565024297 C4(797,977) = 7816 Sum = 3782.829686228930440 Averaged sum = 0.3779428200848167090 logp*logq = 45.99425486036880822 -------------- ************************************* p = 797; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.835924153016879710 E19 -------------- Searches starting with [797,983]-exponents: u = 1, v = 31 n_start has 96 digits starting right neighbors generation We generated 125 left neighbors We generated 9885 right neighbors We generated 10009 non-negative rho_i D1(797,983) = 0.6391792899132924031 D2(797,983) = 0.03782232984442423836 C1(797,983) = 0.9863710635781462662 C2(797,983) = 1.731097709095782117 C3(797,983) = 6.510141705396581293 C4(797,983) = 7864 Sum = 3755.618230281655943 Averaged sum = 0.3752241213189785136 logp*logq = 46.03515818004972467 -------------- ************************************* p = 797; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.038323522027159977 E20 -------------- Searches starting with [797,991]-exponents: u = 1, v = 30 n_start has 93 digits starting right neighbors generation We generated 121 left neighbors We generated 9889 right neighbors We generated 10009 non-negative rho_i D1(797,991) = 1.165130737821269758 D2(797,991) = 0.04540310692764160151 C1(797,991) = 1.651061705854184098 C2(797,991) = 1.751129053664280806 C3(797,991) = 23.00639491917473897 C4(797,991) = 7928 Sum = 4742.597402410500543 Averaged sum = 0.4738332902797982358 logp*logq = 46.08930927431655984 -------------- ************************************* p = 797; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.081051985288042717 E20 -------------- Searches starting with [797,997]-exponents: u = 1, v = 29 n_start has 90 digits starting right neighbors generation We generated 117 left neighbors We generated 9893 right neighbors We generated 10009 non-negative rho_i D1(797,997) = 0.6824925346192923415 D2(797,997) = 0.02266263914000699908 C1(797,997) = 0.9307941372965783124 C2(797,997) = 1.741123293964682450 C3(797,997) = 5.857992526014531822 C4(797,997) = 7976 Sum = 3707.629657148001912 Averaged sum = 0.3704295790936159368 logp*logq = 46.12963648737988739 -------------- ************************************* p = 809; q = 811; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.007590368191068339 E19 -------------- Searches starting with [809,811]-exponents: u = 1, v = 2711 n_start has 7890 digits --- performed 5000 steps in the continued fraction search [809,811]-exponents: u = 2289, v = 422 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(809,811) = 0.6352219883364198887 D2(809,811) = 0.5070084612328130145 C1(809,811) = 0.7880106836013188657 C2(809,811) = 1.402128289994108831 C3(809,811) = 4.474465006550073277 C4(809,811) = 6488 Sum = 6120.271992510686702 Averaged sum = 0.6120884080918778579 logp*logq = 44.85025598291347225 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(809,811) = 0.6352219883364198887 D2(809,811) = 0.5070084612328130145 C1(809,811) = 0.7880106836013188657 C2(809,811) = 1.402128289994108831 C3(809,811) = 4.474465006550073277 C4(809,811) = 6488 Sum = 6120.271992510686702 Averaged sum = 0.6120884080918778579 logp*logq = 44.85025598291347225 -------------- ************************************* p = 809; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.264793787650523655 E19 -------------- Searches starting with [809,821]-exponents: u = 1, v = 454 n_start has 1327 digits --- performed 5000 steps in the continued fraction search [809,821]-exponents: u = 61, v = 383 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(809,821) = 0.5613387553554587304 D2(809,821) = 0.1221851379930132385 C1(809,821) = 0.7357379951000278842 C2(809,821) = 1.224455969492205775 C3(809,821) = 4.051111570979319445 C4(809,821) = 6568 Sum = 5257.538898585603033 Averaged sum = 0.5258064705056108643 logp*logq = 44.93231336916755119 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(809,821) = 0.5613387553554587304 D2(809,821) = 0.1221851379930132385 C1(809,821) = 0.7357379951000278842 C2(809,821) = 1.224455969492205775 C3(809,821) = 4.051111570979319445 C4(809,821) = 6568 Sum = 5257.538898585603033 Averaged sum = 0.5258064705056108643 logp*logq = 44.93231336916755119 -------------- ************************************* p = 809; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.318417762827747186 E19 -------------- Searches starting with [809,823]-exponents: u = 1, v = 390 n_start has 1140 digits --- performed 5000 steps in the continued fraction search [809,823]-exponents: u = 8, v = 370 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(809,823) = 0.6875004424181123519 D2(809,823) = 0.07837162796127050813 C1(809,823) = 0.9065208767420199970 C2(809,823) = 1.205033465059889797 C3(809,823) = 5.605406569725905174 C4(809,823) = 6584 Sum = 5167.097795453346581 Averaged sum = 0.5167614556909037484 logp*logq = 44.94860485875461087 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(809,823) = 0.6875004424181123519 D2(809,823) = 0.07837162796127050813 C1(809,823) = 0.9065208767420199970 C2(809,823) = 1.205033465059889797 C3(809,823) = 5.605406569725905174 C4(809,823) = 6584 Sum = 5167.097795453346581 Averaged sum = 0.5167614556909037484 logp*logq = 44.94860485875461087 -------------- ************************************* p = 809; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.427916475492863368 E19 -------------- Searches starting with [809,827]-exponents: u = 1, v = 304 n_start has 890 digits --- performed 5000 steps in the continued fraction search [809,827]-exponents: u = 256, v = 33 --- starting right neighbors generation We generated 9569 left neighbors We generated 441 right neighbors We generated 10009 non-negative rho_i D1(809,827) = 0.6699120898357631727 D2(809,827) = 0.001314262929597492626 C1(809,827) = 0.8925966832279708020 C2(809,827) = 1.172058633791462262 C3(809,827) = 5.458942071426142023 C4(809,827) = 6616 Sum = 5019.204430288182945 Averaged sum = 0.5014691208200802223 logp*logq = 44.98106940195008334 -------------- ************************************* p = 809; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.483808424540449366 E19 -------------- Searches starting with [809,829]-exponents: u = 1, v = 274 n_start has 803 digits --- performed 5000 steps in the continued fraction search [809,829]-exponents: u = 221, v = 36 --- starting right neighbors generation We generated 7844 left neighbors We generated 2166 right neighbors We generated 10009 non-negative rho_i D1(809,829) = 0.7220548352701083484 D2(809,829) = 0.001345466223241002765 C1(809,829) = 0.9664966336053187036 C2(809,829) = 1.188811650625396459 C3(809,829) = 6.282539710100704535 C4(809,829) = 6632 Sum = 4942.439646707708801 Averaged sum = 0.4937995450801987012 logp*logq = 44.99724283714955711 -------------- ************************************* p = 809; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.775045331169967052 E19 -------------- Searches starting with [809,839]-exponents: u = 1, v = 183 n_start has 538 digits starting right neighbors generation We generated 3509 left neighbors We generated 6501 right neighbors We generated 10009 non-negative rho_i D1(809,839) = 0.7760525653056547800 D2(809,839) = 0.001513679005874082993 C1(809,839) = 1.058724612197320317 C2(809,839) = 1.258014736793876911 C3(809,839) = 7.486818910682918078 C4(809,839) = 6712 Sum = 4784.553223727661947 Averaged sum = 0.4780250997829615293 logp*logq = 45.07752915777270240 -------------- ************************************* p = 809; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.217405390972156458 E19 -------------- Searches starting with [809,853]-exponents: u = 1, v = 126 n_start has 373 digits starting right neighbors generation We generated 1700 left neighbors We generated 8310 right neighbors We generated 10009 non-negative rho_i D1(809,853) = 0.5590828646419912205 D2(809,853) = 0.01068074849416873543 C1(809,853) = 0.7785398982506277454 C2(809,853) = 1.339117306801811423 C3(809,853) = 4.394607763934098339 C4(809,853) = 6824 Sum = 4213.776778862720554 Averaged sum = 0.4209987789851853886 logp*logq = 45.18833686958294146 -------------- ************************************* p = 809; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.351608447843733800 E19 -------------- Searches starting with [809,857]-exponents: u = 1, v = 116 n_start has 344 digits starting right neighbors generation We generated 1455 left neighbors We generated 8555 right neighbors We generated 10009 non-negative rho_i D1(809,857) = 0.6953248505284153819 D2(809,857) = 0.01545689448842213651 C1(809,857) = 0.9729606433130166016 C2(809,857) = 1.361109431000439591 C3(809,857) = 6.360236093596754204 C4(809,857) = 6856 Sum = 4124.464272326836289 Averaged sum = 0.4120755592293771894 logp*logq = 45.21966230176876807 -------------- ************************************* p = 809; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.420060858263543504 E19 -------------- Searches starting with [809,859]-exponents: u = 1, v = 111 n_start has 329 digits starting right neighbors generation We generated 1289 left neighbors We generated 8721 right neighbors We generated 10009 non-negative rho_i D1(809,859) = 0.5823563904838979107 D2(809,859) = 0.01712636363407447652 C1(809,859) = 0.8165955195680957095 C2(809,859) = 1.371074264079298643 C3(809,859) = 4.724398709078903674 C4(809,859) = 6872 Sum = 4492.310744200829651 Averaged sum = 0.4488271300030801929 logp*logq = 45.23527023171959095 -------------- ************************************* p = 809; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.559717183934286963 E19 -------------- Searches starting with [809,863]-exponents: u = 1, v = 103 n_start has 306 digits starting right neighbors generation We generated 1193 left neighbors We generated 8817 right neighbors We generated 10009 non-negative rho_i D1(809,863) = 0.5655669535146040019 D2(809,863) = 0.002060086946026876173 C1(809,863) = 0.7966420682340599172 C2(809,863) = 1.373923854385967354 C3(809,863) = 4.548507698583353336 C4(809,863) = 6904 Sum = 4449.604528901220597 Averaged sum = 0.4445603485764032967 logp*logq = 45.26637736742273447 -------------- ************************************* p = 809; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.078477002982366879 E19 -------------- Searches starting with [809,877]-exponents: u = 1, v = 82 n_start has 245 digits starting right neighbors generation We generated 719 left neighbors We generated 9291 right neighbors We generated 10009 non-negative rho_i D1(809,877) = 0.9186647670362457136 D2(809,877) = 0.01662496307280429776 C1(809,877) = 1.312908771778305457 C2(809,877) = 1.437908826782849480 C3(809,877) = 12.13956761477735532 C4(809,877) = 7016 Sum = 5176.882347390894606 Averaged sum = 0.5172227342782390455 logp*logq = 45.37412818096495981 -------------- ************************************* p = 809; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.235600473467906398 E19 -------------- Searches starting with [809,881]-exponents: u = 1, v = 78 n_start has 233 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(809,881) = 0.5105516222888001935 D2(809,881) = 0.01686038207657728494 C1(809,881) = 0.7320938296029414472 C2(809,881) = 1.451337875022998530 C3(809,881) = 4.023137200928010006 C4(809,881) = 7048 Sum = 4302.592060548879601 Averaged sum = 0.4298723209660185434 logp*logq = 45.40459830825469738 -------------- ************************************* p = 809; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.315700316404863307 E19 -------------- Searches starting with [809,883]-exponents: u = 1, v = 76 n_start has 227 digits starting right neighbors generation We generated 665 left neighbors We generated 9345 right neighbors We generated 10009 non-negative rho_i D1(809,883) = 1.364858584831572977 D2(809,883) = 0.01215225958177113679 C1(809,883) = 1.879439785582840984 C2(809,883) = 1.453586784853131817 C3(809,883) = 35.64888007375725505 C4(809,883) = 7064 Sum = 4291.463966971064225 Averaged sum = 0.4287605122360939380 logp*logq = 45.41978153225957136 -------------- ************************************* p = 809; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.479031297596186724 E19 -------------- Searches starting with [809,887]-exponents: u = 1, v = 72 n_start has 216 digits starting right neighbors generation We generated 563 left neighbors We generated 9447 right neighbors We generated 10009 non-negative rho_i D1(809,887) = 0.6020802979254964322 D2(809,887) = 0.02464115572999884481 C1(809,887) = 0.8680715880649453144 C2(809,887) = 1.477154520286620961 C3(809,887) = 5.210214500313151589 C4(809,887) = 7096 Sum = 4393.617220376711611 Averaged sum = 0.4389666520508254182 logp*logq = 45.45004508170939904 -------------- ************************************* p = 809; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.361267663226110771 E19 -------------- Searches starting with [809,907]-exponents: u = 1, v = 58 n_start has 175 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(809,907) = 0.6444729490489508986 D2(809,907) = 0.02014484784732979372 C1(809,907) = 0.9008917115202352724 C2(809,907) = 1.529743998313034897 C3(809,907) = 5.545727680799782297 C4(809,907) = 7256 Sum = 4230.804662127935564 Averaged sum = 0.4227000361802313482 logp*logq = 45.59934444249499493 -------------- ************************************* p = 809; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.551487904451662636 E19 -------------- Searches starting with [809,911]-exponents: u = 1, v = 56 n_start has 169 digits starting right neighbors generation We generated 384 left neighbors We generated 9626 right neighbors We generated 10009 non-negative rho_i D1(809,911) = 0.5444147920069840865 D2(809,911) = 0.01872932536730224834 C1(809,911) = 0.7625831399089408690 C2(809,911) = 1.538838678507598956 C3(809,911) = 4.263271483807023023 C4(809,911) = 7288 Sum = 3938.328538245216585 Averaged sum = 0.3934787229738451978 logp*logq = 45.62880895172186532 -------------- ************************************* p = 809; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.946480038259225919 E19 -------------- Searches starting with [809,919]-exponents: u = 1, v = 52 n_start has 158 digits starting right neighbors generation We generated 308 left neighbors We generated 9702 right neighbors We generated 10009 non-negative rho_i D1(809,919) = 0.7926346897143888224 D2(809,919) = 0.04297966027093773496 C1(809,919) = 1.115176291931252245 C2(809,919) = 1.580174305881880145 C3(809,919) = 8.335185344452143036 C4(809,919) = 7352 Sum = 4336.043288118828947 Averaged sum = 0.4332144358196452140 logp*logq = 45.68735182884944437 -------------- ************************************* p = 809; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.468551904422563934 E19 -------------- Searches starting with [809,929]-exponents: u = 1, v = 48 n_start has 146 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(809,929) = 0.5693244475813019038 D2(809,929) = 0.03040155735632552217 C1(809,929) = 0.8049133458197360169 C2(809,929) = 1.592506279867607988 C3(809,929) = 4.620610652559909548 C4(809,929) = 7432 Sum = 3991.695973064474075 Averaged sum = 0.3988106677055124462 logp*logq = 45.75981789240967438 -------------- ************************************* p = 809; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.909895290643008035 E19 -------------- Searches starting with [809,937]-exponents: u = 1, v = 45 n_start has 137 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(809,937) = 0.5706337946212011854 D2(809,937) = 0.007026496297548861155 C1(809,937) = 0.8100237030811990501 C2(809,937) = 1.589875059005561084 C3(809,937) = 4.665729110681018266 C4(809,937) = 7496 Sum = 4155.474825521330950 Averaged sum = 0.4151738261086353232 logp*logq = 45.81723131098627273 -------------- ************************************* p = 809; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.138758844718537151 E19 -------------- Searches starting with [809,941]-exponents: u = 1, v = 44 n_start has 134 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(809,941) = 0.6173565638880519262 D2(809,941) = 0.01571040767349738418 C1(809,941) = 0.8563091003701906191 C2(809,941) = 1.606106065078745615 C3(809,941) = 5.094975648349783869 C4(809,941) = 7528 Sum = 3772.741575350050970 Averaged sum = 0.3769349161105056419 logp*logq = 45.84575445919685406 -------------- ************************************* p = 809; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.492605804417812015 E19 -------------- Searches starting with [809,947]-exponents: u = 1, v = 42 n_start has 128 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(809,947) = 0.8636069165753495270 D2(809,947) = 0.05413105958835632750 C1(809,947) = 1.231311328410961225 C2(809,947) = 1.652605325341602542 C3(809,947) = 10.39488893854629057 C4(809,947) = 7576 Sum = 4526.922814057079189 Averaged sum = 0.4522852247034747916 logp*logq = 45.88831264643328583 -------------- ************************************* p = 809; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.859455231493618234 E19 -------------- Searches starting with [809,953]-exponents: u = 1, v = 40 n_start has 123 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(809,953) = 0.6861632751045367115 D2(809,953) = 0.02180424226597567216 C1(809,953) = 1.035237988792114464 C2(809,953) = 1.636352186324242177 C3(809,953) = 7.159818589673391069 C4(809,953) = 7624 Sum = 4198.666465154009422 Averaged sum = 0.4194891063197132003 logp*logq = 45.93060204332609631 -------------- ************************************* p = 809; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.768218198126125441 E19 -------------- Searches starting with [809,967]-exponents: u = 1, v = 37 n_start has 114 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(809,967) = 0.7122828511100855045 D2(809,967) = 0.02385274917385812882 C1(809,967) = 1.024082923332015950 C2(809,967) = 1.665476780630441672 C3(809,967) = 7.009550012558934769 C4(809,967) = 7736 Sum = 4265.582586852490892 Averaged sum = 0.4261747014539405427 logp*logq = 46.02825084150128105 -------------- ************************************* p = 809; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.004197844045599531 E20 -------------- Searches starting with [809,971]-exponents: u = 1, v = 36 n_start has 111 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(809,971) = 0.7038877142772227320 D2(809,971) = 0.007733794557385544031 C1(809,971) = 0.9870106946400754843 C2(809,971) = 1.658970901874830184 C3(809,971) = 6.532445621943198571 C4(809,971) = 7768 Sum = 4079.243888826129433 Averaged sum = 0.4075575870542641056 logp*logq = 46.05589091755981312 -------------- ************************************* p = 809; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.046484455893027130 E20 -------------- Searches starting with [809,977]-exponents: u = 1, v = 35 n_start has 108 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(809,977) = 0.8479522338211627034 D2(809,977) = 0.01334707539721655882 C1(809,977) = 1.223754520762143577 C2(809,977) = 1.674870233984856338 C3(809,977) = 10.24659152603046279 C4(809,977) = 7816 Sum = 4450.862207067984987 Averaged sum = 0.4446860033038250561 logp*logq = 46.09713826925170577 -------------- ************************************* p = 809; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.090276381025493581 E20 -------------- Searches starting with [809,983]-exponents: u = 1, v = 34 n_start has 105 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(809,983) = 0.5800837327638282219 D2(809,983) = 0.01385295221971825888 C1(809,983) = 0.8166098421270399851 C2(809,983) = 1.686076173703797092 C3(809,983) = 4.724527375406397444 C4(809,983) = 7864 Sum = 4031.995482859419283 Averaged sum = 0.4028369949904505228 logp*logq = 46.13813308455476405 -------------- ************************************* p = 809; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.151083241536368337 E20 -------------- Searches starting with [809,991]-exponents: u = 1, v = 32 n_start has 99 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(809,991) = 1.434000959165813118 D2(809,991) = 0.03328620866325259261 C1(809,991) = 2.207241403097450653 C2(809,991) = 1.716943291955935131 C3(809,991) = 66.48830388033957271 C4(809,991) = 7928 Sum = 6683.307362702567442 Averaged sum = 0.6677297794687348827 logp*logq = 46.19240530806241038 -------------- ************************************* p = 809; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.198560038319059719 E20 -------------- Searches starting with [809,997]-exponents: u = 1, v = 32 n_start has 99 digits starting right neighbors generation We generated 159 left neighbors We generated 9851 right neighbors We generated 10009 non-negative rho_i D1(809,997) = 0.8649245791104376571 D2(809,997) = 0.02214252854072502518 C1(809,997) = 1.335295914933563151 C2(809,997) = 1.717431319966679864 C3(809,997) = 12.66749014204550112 C4(809,997) = 7976 Sum = 2261.092215834613666 Averaged sum = 0.2259059062678203283 logp*logq = 46.23282272806926376 -------------- ************************************* p = 811; q = 821; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.319339454221765259 E19 -------------- Searches starting with [811,821]-exponents: u = 1, v = 546 n_start has 1595 digits **************************************************** Computing .... elapsed time = 52 minutes **************************************************** --- performed 5000 steps in the continued fraction search [811,821]-exponents: u = 122, v = 416 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(811,821) = 0.6040751937081470300 D2(811,821) = 0.1744311403270673120 C1(811,821) = 0.7863052638943912918 C2(811,821) = 1.249700192465173738 C3(811,821) = 4.461271766372833354 C4(811,821) = 6568 Sum = 5361.542615482277481 Averaged sum = 0.5362078823364613942 logp*logq = 44.94888257044842647 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(811,821) = 0.6040751937081470300 D2(811,821) = 0.1744311403270673120 C1(811,821) = 0.7863052638943912918 C2(811,821) = 1.249700192465173738 C3(811,821) = 4.461271766372833354 C4(811,821) = 6568 Sum = 5361.542615482277481 Averaged sum = 0.5362078823364613942 logp*logq = 44.94888257044842647 -------------- ************************************* p = 811; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.373879606560719090 E19 -------------- Searches starting with [811,823]-exponents: u = 1, v = 456 n_start has 1333 digits --- performed 5000 steps in the continued fraction search [811,823]-exponents: u = 39, v = 407 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(811,823) = 0.9538003580671652151 D2(811,823) = 0.1273561234153493484 C1(811,823) = 1.249976369314265556 C2(811,823) = 1.229245209464675226 C3(811,823) = 10.77540583732189407 C4(811,823) = 6584 Sum = 5258.049212493058612 Averaged sum = 0.5258575070000058617 logp*logq = 44.96518006767119178 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(811,823) = 0.9538003580671652151 D2(811,823) = 0.1273561234153493484 C1(811,823) = 1.249976369314265556 C2(811,823) = 1.229245209464675226 C3(811,823) = 10.77540583732189407 C4(811,823) = 6584 Sum = 5258.049212493058612 Averaged sum = 0.5258575070000058617 logp*logq = 44.96518006767119178 -------------- ************************************* p = 811; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.485250132180888001 E19 -------------- Searches starting with [811,827]-exponents: u = 1, v = 342 n_start has 1001 digits --- performed 5000 steps in the continued fraction search [811,827]-exponents: u = 303, v = 26 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(811,827) = 0.5273885186780190684 D2(811,827) = 0.03048873720070392671 C1(811,827) = 0.6992043611885296614 C2(811,827) = 1.180310581348067918 C3(811,827) = 3.780215847986922994 C4(811,827) = 6616 Sum = 5089.207269613602775 Averaged sum = 0.5089716241237726548 logp*logq = 44.99765658246372577 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(811,827) = 0.5273885186780190684 D2(811,827) = 0.03048873720070392671 C1(811,827) = 0.6992043611885296614 C2(811,827) = 1.180310581348067918 C3(811,827) = 3.780215847986922994 C4(811,827) = 6616 Sum = 5089.207269613602775 Averaged sum = 0.5089716241237726548 logp*logq = 44.99765658246372577 -------------- ************************************* p = 811; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.542098028040390971 E19 -------------- Searches starting with [811,829]-exponents: u = 1, v = 305 n_start has 894 digits --- performed 5000 steps in the continued fraction search [811,829]-exponents: u = 240, v = 50 --- starting right neighbors generation We generated 9602 left neighbors We generated 408 right neighbors We generated 10009 non-negative rho_i D1(811,829) = 0.7671018796053003402 D2(811,829) = 0.002607748974236124015 C1(811,829) = 1.021996717287595074 C2(811,829) = 1.173048056494224717 C3(811,829) = 6.984430295350461584 C4(811,829) = 6632 Sum = 5020.444327073162061 Averaged sum = 0.5015929990082088182 logp*logq = 45.01383598176527062 -------------- ************************************* p = 811; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.838321423815804402 E19 -------------- Searches starting with [811,839]-exponents: u = 1, v = 197 n_start has 579 digits starting right neighbors generation We generated 4146 left neighbors We generated 5864 right neighbors We generated 10009 non-negative rho_i D1(811,839) = 0.6194534642609245692 D2(811,839) = 0.0007715106437743503391 C1(811,839) = 0.8422313390304812909 C2(811,839) = 1.244818656050673778 C3(811,839) = 4.961940154865828705 C4(811,839) = 6712 Sum = 4669.175883365743368 Averaged sum = 0.4664977403702411198 logp*logq = 45.09415190870304244 -------------- ************************************* p = 811; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.288271401316496081 E19 -------------- Searches starting with [811,853]-exponents: u = 1, v = 132 n_start has 390 digits starting right neighbors generation We generated 1904 left neighbors We generated 8106 right neighbors We generated 10009 non-negative rho_i D1(811,853) = 0.5970981078074204409 D2(811,853) = 0.001008457544290643625 C1(811,853) = 0.8289534729874057185 C2(811,853) = 1.320919434580188102 C3(811,853) = 4.838207632788460963 C4(811,853) = 6824 Sum = 4562.195835104394724 Averaged sum = 0.4558093550908577004 logp*logq = 45.20500048186990412 -------------- ************************************* p = 811; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.424780615037891360 E19 -------------- Searches starting with [811,857]-exponents: u = 1, v = 121 n_start has 358 digits starting right neighbors generation We generated 1630 left neighbors We generated 8380 right neighbors We generated 10009 non-negative rho_i D1(811,857) = 0.5626996664052815108 D2(811,857) = 0.002553969348749166696 C1(811,857) = 0.7854663812800085264 C2(811,857) = 1.340585299665610044 C3(811,857) = 4.454159803053199824 C4(811,857) = 6856 Sum = 4168.135505417727495 Averaged sum = 0.4164387556616772399 logp*logq = 45.23633746559519484 -------------- ************************************* p = 811; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.494409918514208826 E19 -------------- Searches starting with [811,859]-exponents: u = 1, v = 116 n_start has 344 digits starting right neighbors generation We generated 1455 left neighbors We generated 8555 right neighbors We generated 10009 non-negative rho_i D1(811,859) = 0.5335355425426474156 D2(811,859) = 0.01005891457653711942 C1(811,859) = 0.7466129536194895326 C2(811,859) = 1.355995808062591898 C3(811,859) = 4.136893295596618473 C4(811,859) = 6872 Sum = 4115.997388804773544 Averaged sum = 0.4112296322114870161 logp*logq = 45.25195115111285908 -------------- ************************************* p = 811; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.636468563299555118 E19 -------------- Searches starting with [811,863]-exponents: u = 1, v = 107 n_start has 318 digits starting right neighbors generation We generated 1241 left neighbors We generated 8769 right neighbors We generated 10009 non-negative rho_i D1(811,863) = 0.6511552464448398258 D2(811,863) = 0.007208401723697433955 C1(811,863) = 0.9151303301976177493 C2(811,863) = 1.370164823331567938 C3(811,863) = 5.699849081123373217 C4(811,863) = 6904 Sum = 4560.684683122163062 Averaged sum = 0.4556583757740196885 logp*logq = 45.28306975785664327 -------------- ************************************* p = 811; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.164165589542598449 E19 -------------- Searches starting with [811,877]-exponents: u = 1, v = 85 n_start has 254 digits starting right neighbors generation We generated 824 left neighbors We generated 9186 right neighbors We generated 10009 non-negative rho_i D1(811,877) = 0.5468280689452269501 D2(811,877) = 0.006222153712334753058 C1(811,877) = 0.7796999473989149616 C2(811,877) = 1.421528269555287725 C3(811,877) = 4.405578418340697923 C4(811,877) = 7016 Sum = 4361.094579741929305 Averaged sum = 0.4357173123930391952 logp*logq = 45.39086030549631181 -------------- ************************************* p = 811; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.324000008008794814 E19 -------------- Searches starting with [811,881]-exponents: u = 1, v = 80 n_start has 239 digits starting right neighbors generation We generated 701 left neighbors We generated 9309 right neighbors We generated 10009 non-negative rho_i D1(811,881) = 0.7710694642970652981 D2(811,881) = 0.01266465227509716176 C1(811,881) = 1.103847116418917612 C2(811,881) = 1.440719618790009246 C3(811,881) = 8.160867931249272343 C4(811,881) = 7048 Sum = 4800.630929721104247 Averaged sum = 0.4796314246898895241 logp*logq = 45.42134166892401472 -------------- ************************************* p = 811; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.405482546987473061 E19 -------------- Searches starting with [811,883]-exponents: u = 1, v = 78 n_start has 233 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(811,883) = 0.6112342752124980683 D2(811,883) = 0.01118077951416046162 C1(811,883) = 0.8765168460588132169 C2(811,883) = 1.445947721265955032 C3(811,883) = 5.296269376826268135 C4(811,883) = 7064 Sum = 4432.488129566809677 Averaged sum = 0.4428502477337206191 logp*logq = 45.43653049188153025 -------------- ************************************* p = 811; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.571634368928718651 E19 -------------- Searches starting with [811,887]-exponents: u = 1, v = 74 n_start has 222 digits starting right neighbors generation We generated 579 left neighbors We generated 9431 right neighbors We generated 10009 non-negative rho_i D1(811,887) = 0.6260531073085233617 D2(811,887) = 0.02939701409012578814 C1(811,887) = 0.9009854059553532118 C2(811,887) = 1.474842022662275333 C3(811,887) = 5.548558629095300540 C4(811,887) = 7096 Sum = 4453.326115712344957 Averaged sum = 0.4449321726158802035 logp*logq = 45.46680520129185646 -------------- ************************************* p = 811; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.469137879359740166 E19 -------------- Searches starting with [811,907]-exponents: u = 1, v = 59 n_start has 178 digits starting right neighbors generation We generated 405 left neighbors We generated 9605 right neighbors We generated 10009 non-negative rho_i D1(811,907) = 0.7064535676671074195 D2(811,907) = 0.01244963380149646368 C1(811,907) = 1.033286268227010376 C2(811,907) = 1.517272124138738203 C3(811,907) = 7.136014657678617008 C4(811,907) = 7256 Sum = 4573.155853193100498 Averaged sum = 0.4569043713850634926 logp*logq = 45.61615961758148656 -------------- ************************************* p = 811; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.662656142425002145 E19 -------------- Searches starting with [811,911]-exponents: u = 1, v = 57 n_start has 172 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(811,911) = 0.5521056497298227771 D2(811,911) = 0.01432805902325663922 C1(811,911) = 0.7725991895730165050 C2(811,911) = 1.529409117133894971 C3(811,911) = 4.346482907875854305 C4(811,911) = 7288 Sum = 4208.626448380544459 Averaged sum = 0.4204842090499095273 logp*logq = 45.64563499211546926 -------------- ************************************* p = 811; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.064503167394263163 E19 -------------- Searches starting with [811,919]-exponents: u = 1, v = 53 n_start has 160 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(811,919) = 0.5948982208803918026 D2(811,919) = 0.04441415541355387011 C1(811,919) = 0.8360683677883102554 C2(811,919) = 1.576155432610927612 C3(811,919) = 4.904120567403072346 C4(811,919) = 7352 Sum = 4203.464791201771017 Averaged sum = 0.4199685074634599877 logp*logq = 45.70419945746412917 -------------- ************************************* p = 811; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.595648189614586151 E19 -------------- Searches starting with [811,929]-exponents: u = 1, v = 49 n_start has 149 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(811,929) = 0.6705168520103430647 D2(811,929) = 0.03987675718945952853 C1(811,929) = 0.9246828227474901809 C2(811,929) = 1.595853451143775029 C3(811,929) = 5.804346862131259280 C4(811,929) = 7432 Sum = 3695.983368570782034 Averaged sum = 0.3692659974593647751 logp*logq = 45.77669224354770885 -------------- ************************************* p = 811; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.044672466688844662 E19 -------------- Searches starting with [811,937]-exponents: u = 1, v = 46 n_start has 140 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(811,937) = 0.5611999176793557973 D2(811,937) = 0.02199504467151084984 C1(811,937) = 0.7765670523803650062 C2(811,937) = 1.598105612589358881 C3(811,937) = 4.379406736944330312 C4(811,937) = 7496 Sum = 3985.780582505727843 Averaged sum = 0.3982196605560723191 logp*logq = 45.83412683384722302 -------------- ************************************* p = 811; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.277522704413242169 E19 -------------- Searches starting with [811,941]-exponents: u = 1, v = 45 n_start has 137 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(811,941) = 0.8443141206579442336 D2(811,941) = 0.03372846470424484465 C1(811,941) = 1.263723653489066966 C2(811,941) = 1.617157931590769344 C3(811,941) = 11.06084681339542681 C4(811,941) = 7528 Sum = 2800.707240930220326 Averaged sum = 0.2798188870946368594 logp*logq = 45.86266050022943693 -------------- ************************************* p = 811; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.637538222799496266 E19 -------------- Searches starting with [811,947]-exponents: u = 1, v = 43 n_start has 131 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(811,947) = 0.6029082783733937361 D2(811,947) = 0.01502073960339234167 C1(811,947) = 0.9059251583644293102 C2(811,947) = 1.613495005356638556 C3(811,947) = 5.600931094006957195 C4(811,947) = 7576 Sum = 3400.740937797239059 Averaged sum = 0.3397683023076470236 logp*logq = 45.90523438118643625 -------------- ************************************* p = 811; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.010788717425330231 E19 -------------- Searches starting with [811,953]-exponents: u = 1, v = 41 n_start has 126 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(811,953) = 0.8428952426496724954 D2(811,953) = 0.04859283965945109192 C1(811,953) = 1.203729885130267651 C2(811,953) = 1.655401196151763470 C3(811,953) = 9.868150704530702703 C4(811,953) = 7624 Sum = 4497.804419746597319 Averaged sum = 0.4493760035714454310 logp*logq = 45.94753937268091807 -------------- ************************************* p = 811; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.935432548044304527 E19 -------------- Searches starting with [811,967]-exponents: u = 1, v = 38 n_start has 117 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(811,967) = 0.7803969810485101747 D2(811,967) = 0.06061918608564039611 C1(811,967) = 1.185526573558953290 C2(811,967) = 1.693564470751543024 C3(811,967) = 9.532361856515957468 C4(811,967) = 7736 Sum = 2518.215945134883307 Averaged sum = 0.2515951588705048763 logp*logq = 46.04522417974303696 -------------- ************************************* p = 811; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.021398317980245163 E20 -------------- Searches starting with [811,971]-exponents: u = 1, v = 37 n_start has 114 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(811,971) = 1.069518504665538041 D2(811,971) = 0.04568833000501204479 C1(811,971) = 1.456791342504346570 C2(811,971) = 1.687888460755665675 C3(811,971) = 15.96816653193671763 C4(811,971) = 7768 Sum = 3601.258349620425542 Averaged sum = 0.3598020131502073676 logp*logq = 46.07287444833227337 -------------- ************************************* p = 811; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.064425429202761908 E20 -------------- Searches starting with [811,977]-exponents: u = 1, v = 35 n_start has 108 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(811,977) = 0.9399860422408752346 D2(811,977) = 0.05585552229828213751 C1(811,977) = 1.435071101407869569 C2(811,977) = 1.707955548890287133 C3(811,977) = 15.32198200975146877 C4(811,977) = 7816 Sum = 4944.937231840888150 Averaged sum = 0.4940490790129771356 logp*logq = 46.11413701036214419 -------------- ************************************* p = 811; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.108984889566431960 E20 -------------- Searches starting with [811,983]-exponents: u = 1, v = 34 n_start has 105 digits starting right neighbors generation We generated 137 left neighbors We generated 9873 right neighbors We generated 10009 non-negative rho_i D1(811,983) = 0.6151434676619712482 D2(811,983) = 0.06042483773246398303 C1(811,983) = 0.9416130649994823566 C2(811,983) = 1.722808930261462226 C3(811,983) = 5.994281072024057550 C4(811,983) = 7864 Sum = 3815.451873597266679 Averaged sum = 0.3812021054648083404 logp*logq = 46.15514694287807883 -------------- ************************************* p = 811; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.170858593037196071 E20 -------------- Searches starting with [811,991]-exponents: u = 1, v = 33 n_start has 102 digits starting right neighbors generation We generated 164 left neighbors We generated 9846 right neighbors We generated 10009 non-negative rho_i D1(811,991) = 0.5513600684791365249 D2(811,991) = 0.003115984505014684606 C1(811,991) = 0.7990164725414019329 C2(811,991) = 1.686773067797697223 C3(811,991) = 4.570436315354947038 C4(811,991) = 7928 Sum = 3825.399752601201537 Averaged sum = 0.3821959988611451231 logp*logq = 46.20943917976424565 -------------- ************************************* p = 811; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.219169201242719387 E20 -------------- Searches starting with [811,997]-exponents: u = 1, v = 32 n_start has 99 digits starting right neighbors generation We generated 129 left neighbors We generated 9881 right neighbors We generated 10009 non-negative rho_i D1(811,997) = 0.6030970317223880079 D2(811,997) = 0.07934074761249576877 C1(811,997) = 0.8758873606827850757 C2(811,997) = 1.763853515424802732 C3(811,997) = 5.289932550530639918 C4(811,997) = 7976 Sum = 3891.023349124734504 Averaged sum = 0.3887524577005429617 logp*logq = 46.24987150406418194 -------------- ************************************* p = 821; q = 823; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.663177537831375956 E19 -------------- Searches starting with [821,823]-exponents: u = 1, v = 2758 n_start has 8044 digits --- performed 5000 steps in the continued fraction search [821,823]-exponents: u = 2242, v = 516 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(821,823) = 0.9936079298576691284 D2(821,823) = 0.5405519028067718801 C1(821,823) = 1.232355669709927279 C2(821,823) = 1.435400061348433542 C3(821,823) = 10.44378464245413946 C4(821,823) = 6584 Sum = 6123.623339149447408 Averaged sum = 0.6124235762725719980 logp*logq = 45.04744771738544926 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(821,823) = 0.9936079298576691284 D2(821,823) = 0.5405519028067718801 C1(821,823) = 1.232355669709927279 C2(821,823) = 1.435400061348433542 C3(821,823) = 10.44378464245413946 C4(821,823) = 6584 Sum = 6123.623339149447408 Averaged sum = 0.6124235762725719980 logp*logq = 45.04744771738544926 -------------- ************************************* p = 821; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.784322534160749573 E19 -------------- Searches starting with [821,827]-exponents: u = 1, v = 921 n_start has 2690 digits --- performed 5000 steps in the continued fraction search [821,827]-exponents: u = 405, v = 512 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(821,827) = 0.6270955097853813578 D2(821,827) = 0.3013908348583849789 C1(821,827) = 0.8019698158924071712 C2(821,827) = 1.310202909458036179 C3(821,827) = 4.602922459856486296 C4(821,827) = 6616 Sum = 5635.152561668022814 Averaged sum = 0.5635716133281350949 logp*logq = 45.07998365074450230 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(821,827) = 0.6270955097853813578 D2(821,827) = 0.3013908348583849789 C1(821,827) = 0.8019698158924071712 C2(821,827) = 1.310202909458036179 C3(821,827) = 4.602922459856486296 C4(821,827) = 6616 Sum = 5635.152561668022814 Averaged sum = 0.5635716133281350949 logp*logq = 45.07998365074450230 -------------- ************************************* p = 821; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.846162449201551931 E19 -------------- Searches starting with [821,829]-exponents: u = 1, v = 692 n_start has 2023 digits --- performed 5000 steps in the continued fraction search [821,829]-exponents: u = 177, v = 509 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(821,829) = 1.029575335909381499 D2(821,829) = 0.2380654982083642649 C1(821,829) = 1.329219092728418237 C2(821,829) = 1.282443744323724660 C3(821,829) = 12.55857490972443302 C4(821,829) = 6632 Sum = 5487.121959040533528 Averaged sum = 0.5487670726113144842 logp*logq = 45.09619265164337921 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(821,829) = 1.029575335909381499 D2(821,829) = 0.2380654982083642649 C1(821,829) = 1.329219092728418237 C2(821,829) = 1.282443744323724660 C3(821,829) = 12.55857490972443302 C4(821,829) = 6632 Sum = 5487.121959040533528 Averaged sum = 0.5487670726113144842 logp*logq = 45.09619265164337921 -------------- ************************************* p = 821; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.168427042283599459 E19 -------------- Searches starting with [821,839]-exponents: u = 1, v = 309 n_start has 907 digits --- performed 5000 steps in the continued fraction search [821,839]-exponents: u = 176, v = 118 --- starting right neighbors generation We generated 9734 left neighbors We generated 276 right neighbors We generated 10009 non-negative rho_i D1(821,839) = 0.6151422192923492821 D2(821,839) = 0.003144513120829916411 C1(821,839) = 0.8192768254073976875 C2(821,839) = 1.172647914083089099 C3(821,839) = 4.757100640299775441 C4(821,839) = 6712 Sum = 5026.164786179925812 Averaged sum = 0.5021645305405061257 logp*logq = 45.17665552345124492 -------------- ************************************* p = 821; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.658018470085447895 E19 -------------- Searches starting with [821,853]-exponents: u = 1, v = 175 n_start has 516 digits starting right neighbors generation We generated 3191 left neighbors We generated 6819 right neighbors We generated 10009 non-negative rho_i D1(821,853) = 0.5578129223774350890 D2(821,853) = 0.006963876468917665232 C1(821,853) = 0.7631900030513421022 C2(821,853) = 1.273208806566889389 C3(821,853) = 4.275355192657250593 C4(821,853) = 6824 Sum = 4681.069710166217770 Averaged sum = 0.4676860535684102078 logp*logq = 45.28770690358062499 -------------- ************************************* p = 821; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.806573470759979353 E19 -------------- Searches starting with [821,857]-exponents: u = 1, v = 156 n_start has 461 digits starting right neighbors generation We generated 2549 left neighbors We generated 7461 right neighbors We generated 10009 non-negative rho_i D1(821,857) = 0.5946937260788203078 D2(821,857) = 0.009971627094297375667 C1(821,857) = 0.8185966211590311900 C2(821,857) = 1.297786483705684242 C3(821,857) = 4.750944708921947946 C4(821,857) = 6856 Sum = 4440.049021912337974 Averaged sum = 0.4436056570998439379 logp*logq = 45.31910122100270806 -------------- ************************************* p = 821; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.882350219112229532 E19 -------------- Searches starting with [821,859]-exponents: u = 1, v = 148 n_start has 438 digits starting right neighbors generation We generated 2413 left neighbors We generated 7597 right neighbors We generated 10009 non-negative rho_i D1(821,859) = 0.6154757664785737173 D2(821,859) = 0.00009328039843525120869 C1(821,859) = 0.8496250247261237427 C2(821,859) = 1.299246426749178570 C3(821,859) = 5.040027506520309922 C4(821,859) = 6872 Sum = 4388.681311887243331 Averaged sum = 0.4384735050341935589 logp*logq = 45.33474347309586432 -------------- ************************************* p = 821; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.036957590384665890 E19 -------------- Searches starting with [821,863]-exponents: u = 1, v = 134 n_start has 397 digits starting right neighbors generation We generated 1934 left neighbors We generated 8076 right neighbors We generated 10009 non-negative rho_i D1(821,863) = 0.5402961127904853310 D2(821,863) = 0.005874411295522285847 C1(821,863) = 0.7496634013792106301 C2(821,863) = 1.323903526877432104 C3(821,863) = 4.166668958571242769 C4(821,863) = 6904 Sum = 4547.909122282257226 Averaged sum = 0.4543819684566147693 logp*logq = 45.36591901399704187 -------------- ************************************* p = 821; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.611342562140154917 E19 -------------- Searches starting with [821,877]-exponents: u = 1, v = 101 n_start has 301 digits starting right neighbors generation We generated 1077 left neighbors We generated 8933 right neighbors We generated 10009 non-negative rho_i D1(821,877) = 0.5980781652787464084 D2(821,877) = 0.01697927316241720318 C1(821,877) = 0.8437338649080531577 C2(821,877) = 1.393141512041396558 C3(821,877) = 4.983820047562433543 C4(821,877) = 7016 Sum = 4474.192959821739254 Averaged sum = 0.4470169806995443355 logp*logq = 45.47390677367950403 -------------- ************************************* p = 821; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.785340039802589062 E19 -------------- Searches starting with [821,881]-exponents: u = 1, v = 95 n_start has 283 digits starting right neighbors generation We generated 1011 left neighbors We generated 8999 right neighbors We generated 10009 non-negative rho_i D1(821,881) = 0.7152467521409848727 D2(821,881) = 0.01565009848987534279 C1(821,881) = 1.013559496999633389 C2(821,881) = 1.406955188811339680 C3(821,881) = 6.885996171562140688 C4(821,881) = 7048 Sum = 3874.773431030427367 Averaged sum = 0.3871289270686809239 logp*logq = 45.50444390537335219 -------------- ************************************* p = 821; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.874046510049770010 E19 -------------- Searches starting with [821,883]-exponents: u = 1, v = 92 n_start has 274 digits starting right neighbors generation We generated 978 left neighbors We generated 9032 right neighbors We generated 10009 non-negative rho_i D1(821,883) = 0.6770030460641191895 D2(821,883) = 0.008060028396487149889 C1(821,883) = 0.9613433826664709616 C2(821,883) = 1.407449841331509611 C3(821,883) = 6.234430263926448234 C4(821,883) = 7064 Sum = 3831.230526832588514 Averaged sum = 0.3827785519864710275 logp*logq = 45.51966051758390219 -------------- ************************************* p = 821; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.054936261029039395 E19 -------------- Searches starting with [821,887]-exponents: u = 1, v = 86 n_start has 257 digits starting right neighbors generation We generated 834 left neighbors We generated 9176 right neighbors We generated 10009 non-negative rho_i D1(821,887) = 0.6421184895346391491 D2(821,887) = 0.004408824562763999068 C1(821,887) = 0.9151348363355423421 C2(821,887) = 1.418233670252446507 C3(821,887) = 5.709440627991501541 C4(821,887) = 7096 Sum = 4504.346775021046303 Averaged sum = 0.4500296508163698974 logp*logq = 45.54999061716914200 -------------- ************************************* p = 821; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.032213515089983397 E19 -------------- Searches starting with [821,907]-exponents: u = 1, v = 67 n_start has 202 digits starting right neighbors generation We generated 523 left neighbors We generated 9487 right neighbors We generated 10009 non-negative rho_i D1(821,907) = 0.5398258940459458856 D2(821,907) = 0.02032755020638996612 C1(821,907) = 0.7833787893890695310 C2(821,907) = 1.494728111405816851 C3(821,907) = 4.442867988565300256 C4(821,907) = 7256 Sum = 3852.010411451528451 Averaged sum = 0.3848546719404064792 logp*logq = 45.69961829016060452 -------------- ************************************* p = 821; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.242966250000440347 E19 -------------- Searches starting with [821,911]-exponents: u = 1, v = 64 n_start has 193 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(821,911) = 0.8840386166301025858 D2(821,911) = 0.005317544488335689228 C1(821,911) = 1.229240003888205470 C2(821,911) = 1.492729780211436859 C3(821,911) = 10.38202358715841942 C4(821,911) = 7288 Sum = 4285.396044155624617 Averaged sum = 0.4281542655765435725 logp*logq = 45.72914759241785462 -------------- ************************************* p = 821; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.680636640228685327 E19 -------------- Searches starting with [821,919]-exponents: u = 1, v = 59 n_start has 178 digits starting right neighbors generation We generated 405 left neighbors We generated 9605 right neighbors We generated 10009 non-negative rho_i D1(821,919) = 0.9100325802117636661 D2(821,919) = 0.02525070546473898693 C1(821,919) = 1.271267915997990828 C2(821,919) = 1.531806412711736628 C3(821,919) = 11.24679697849962527 C4(821,919) = 7352 Sum = 4333.058967048214942 Averaged sum = 0.4329162720599675235 logp*logq = 45.78781920647388667 -------------- ************************************* p = 821; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.259201048026692648 E19 -------------- Searches starting with [821,929]-exponents: u = 1, v = 54 n_start has 164 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(821,929) = 0.6193265767090666989 D2(821,929) = 0.01344519419982722632 C1(821,929) = 0.8499604810084408968 C2(821,929) = 1.546630463002497109 C3(821,929) = 5.043247097898655635 C4(821,929) = 7432 Sum = 3545.112401773415404 Averaged sum = 0.3541924669570801682 logp*logq = 45.86044462432105228 -------------- ************************************* p = 821; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.748371154224651730 E19 -------------- Searches starting with [821,937]-exponents: u = 1, v = 50 n_start has 152 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(821,937) = 0.5983989969580654574 D2(821,937) = 0.02226816751961687602 C1(821,937) = 0.8867027395740522421 C2(821,937) = 1.573450704394942688 C3(821,937) = 5.408628394806520370 C4(821,937) = 7496 Sum = 4149.527449400072220 Averaged sum = 0.4145796232790560715 logp*logq = 45.91798429612472437 -------------- ************************************* p = 821; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.002059643280254555 E19 -------------- Searches starting with [821,941]-exponents: u = 1, v = 49 n_start has 149 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(821,941) = 0.6257124213550416026 D2(821,941) = 0.04535219170028188933 C1(821,941) = 0.9302039411532136515 C2(821,941) = 1.603059116962959764 C3(821,941) = 5.875597530367521881 C4(821,941) = 7528 Sum = 2897.687102208198174 Averaged sum = 0.2895081528832249150 logp*logq = 45.94657016729445303 -------------- ************************************* p = 821; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.394319272942533032 E19 -------------- Searches starting with [821,947]-exponents: u = 1, v = 47 n_start has 143 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(821,947) = 1.708550015320226350 D2(821,947) = 0.04589567997085756135 C1(821,947) = 2.548735615559446286 C2(821,947) = 1.616921037015429950 C3(821,947) = 127.9921757350669633 C4(821,947) = 7576 Sum = 3013.477055430950981 Averaged sum = 0.3010767364802628615 logp*logq = 45.98922194081454841 -------------- ************************************* p = 821; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.801030821663868009 E19 -------------- Searches starting with [821,953]-exponents: u = 1, v = 45 n_start has 137 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(821,953) = 1.147189712773592981 D2(821,953) = 0.03561533379268637985 C1(821,953) = 1.717596003577413426 C2(821,953) = 1.620772696470987020 C3(821,953) = 26.30470573961276078 C4(821,953) = 7624 Sum = 2850.065895661924262 Averaged sum = 0.2847503142833374226 logp*logq = 46.03160433291581519 -------------- ************************************* p = 821; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.080869708614328981 E20 -------------- Searches starting with [821,967]-exponents: u = 1, v = 40 n_start has 123 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(821,967) = 1.540970956000281621 D2(821,967) = 0.01422317337199121545 C1(821,967) = 2.325821176551771614 C2(821,967) = 1.630785075359926493 C3(821,967) = 83.73123325570076632 C4(821,967) = 7736 Sum = 7350.644311258020881 Averaged sum = 0.7344034680045979499 logp*logq = 46.12946786270244440 -------------- ************************************* p = 821; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.111229277714727654 E20 -------------- Searches starting with [821,971]-exponents: u = 1, v = 39 n_start has 120 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(821,971) = 1.144678286915586080 D2(821,971) = 0.008646345014796523734 C1(821,971) = 1.731471159739688193 C2(821,971) = 1.633816839615260086 C3(821,971) = 27.00877094359481728 C4(821,971) = 7768 Sum = 5823.567682274124745 Averaged sum = 0.5818331184208337241 logp*logq = 46.15716871982724058 -------------- ************************************* p = 821; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.158128008015253534 E20 -------------- Searches starting with [821,977]-exponents: u = 1, v = 38 n_start has 117 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(821,977) = 0.5806333397696258646 D2(821,977) = 0.02701746132743395510 C1(821,977) = 0.8336059475921452813 C2(821,977) = 1.661393303577589076 C3(821,977) = 4.888650981338290681 C4(821,977) = 7816 Sum = 4083.997865261878703 Averaged sum = 0.4080325572246856532 logp*logq = 46.19850677524987169 -------------- ************************************* p = 821; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.206700625038051770 E20 -------------- Searches starting with [821,983]-exponents: u = 1, v = 37 n_start has 114 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(821,983) = 0.6742890829564940332 D2(821,983) = 0.04097234471726244493 C1(821,983) = 0.9294618694955347911 C2(821,983) = 1.684886532123769672 C3(821,983) = 5.867303141245779164 C4(821,983) = 7864 Sum = 3839.398776818434930 Averaged sum = 0.3835946425035902617 logp*logq = 46.23959173895122466 -------------- ************************************* p = 821; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.274152750425373673 E20 -------------- Searches starting with [821,991]-exponents: u = 1, v = 35 n_start has 108 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(821,991) = 0.8045516713719987022 D2(821,991) = 0.001764290561509158336 C1(821,991) = 1.130392078860572360 C2(821,991) = 1.665288094468887273 C3(821,991) = 8.601196290129571564 C4(821,991) = 7928 Sum = 4200.430057795165761 Averaged sum = 0.4196653070032136838 logp*logq = 46.29398330813673139 -------------- ************************************* p = 821; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.326823509600604475 E20 -------------- Searches starting with [821,997]-exponents: u = 1, v = 34 n_start has 105 digits starting right neighbors generation We generated 169 left neighbors We generated 9841 right neighbors We generated 10009 non-negative rho_i D1(821,997) = 0.6383093407307424350 D2(821,997) = 0.001374660271883768890 C1(821,997) = 0.9233756270088444511 C2(821,997) = 1.675594314308381735 C3(821,997) = 5.799715462737880424 C4(821,997) = 7976 Sum = 4092.835522975054641 Averaged sum = 0.4089155283220156500 logp*logq = 46.33448960683836328 -------------- ************************************* p = 823; q = 827; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.846685681164386737 E19 -------------- Searches starting with [823,827]-exponents: u = 1, v = 1384 n_start has 4041 digits --- performed 5000 steps in the continued fraction search [823,827]-exponents: u = 851, v = 531 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(823,827) = 0.6495923550339910121 D2(823,827) = 0.3760536114925560887 C1(823,827) = 0.8205824874308402863 C2(823,827) = 1.339275102598096739 C3(823,827) = 4.770358234935430709 C4(823,827) = 6616 Sum = 5829.293477548791922 Averaged sum = 0.5829876465195311453 logp*logq = 45.09632868239682052 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(823,827) = 0.6495923550339910121 D2(823,827) = 0.3760536114925560887 C1(823,827) = 0.8205824874308402863 C2(823,827) = 1.339275102598096739 C3(823,827) = 4.770358234935430709 C4(823,827) = 6616 Sum = 5829.293477548791922 Averaged sum = 0.5829876465195311453 logp*logq = 45.09632868239682052 -------------- ************************************* p = 823; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.909567653940226004 E19 -------------- Searches starting with [823,829]-exponents: u = 1, v = 924 n_start has 2700 digits --- performed 5000 steps in the continued fraction search [823,829]-exponents: u = 390, v = 530 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(823,829) = 0.7839404941627579611 D2(823,829) = 0.3069774621114346059 C1(823,829) = 1.002490819234799238 C2(823,829) = 1.315645083212626791 C3(823,829) = 6.744868802493001421 C4(823,829) = 6632 Sum = 5635.861877048794353 Averaged sum = 0.5636425519600754429 logp*logq = 45.11254356033049844 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(823,829) = 0.7839404941627579611 D2(823,829) = 0.3069774621114346059 C1(823,829) = 1.002490819234799238 C2(823,829) = 1.315645083212626791 C3(823,829) = 6.744868802493001421 C4(823,829) = 6632 Sum = 5635.861877048794353 Averaged sum = 0.5636425519600754429 logp*logq = 45.11254356033049844 -------------- ************************************* p = 823; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.237268497503954259 E19 -------------- Searches starting with [823,839]-exponents: u = 1, v = 348 n_start has 1021 digits --- performed 5000 steps in the continued fraction search [823,839]-exponents: u = 219, v = 116 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(823,839) = 0.5651181344327576204 D2(823,839) = 0.03995825114894148942 C1(823,839) = 0.7488918252048914759 C2(823,839) = 1.188022671516532289 C3(823,839) = 4.161682987626322572 C4(823,839) = 6712 Sum = 5094.936810887318769 Averaged sum = 0.5095446355522871056 logp*logq = 45.19303560624358844 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(823,839) = 0.5651181344327576204 D2(823,839) = 0.03995825114894148942 C1(823,839) = 0.7488918252048914759 C2(823,839) = 1.188022671516532289 C3(823,839) = 4.161682987626322572 C4(823,839) = 6712 Sum = 5094.936810887318769 Averaged sum = 0.5095446355522871056 logp*logq = 45.19303560624358844 -------------- ************************************* p = 823; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.735136169610317701 E19 -------------- Searches starting with [823,853]-exponents: u = 1, v = 187 n_start has 552 digits starting right neighbors generation We generated 3589 left neighbors We generated 6421 right neighbors We generated 10009 non-negative rho_i D1(823,853) = 0.5634924389005771176 D2(823,853) = 0.008935912928280793998 C1(823,853) = 0.7683862776836331672 C2(823,853) = 1.263074033920464835 C3(823,853) = 4.319059899814707800 C4(823,853) = 6824 Sum = 4614.202105048635586 Averaged sum = 0.4610053057297068225 logp*logq = 45.30412725121284314 -------------- ************************************* p = 823; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.886206251287010862 E19 -------------- Searches starting with [823,857]-exponents: u = 1, v = 165 n_start has 487 digits starting right neighbors generation We generated 2852 left neighbors We generated 7158 right neighbors We generated 10009 non-negative rho_i D1(823,857) = 0.7059290706441833420 D2(823,857) = 0.003482622400712170178 C1(823,857) = 0.9685547845009627489 C2(823,857) = 1.281018348785915988 C3(823,857) = 6.322827456621582688 C4(823,857) = 6856 Sum = 4711.974812920916749 Averaged sum = 0.4707737848856945498 logp*logq = 45.33553295153861009 -------------- ************************************* p = 823; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.963266578244224546 E19 -------------- Searches starting with [823,859]-exponents: u = 1, v = 156 n_start has 461 digits starting right neighbors generation We generated 2549 left neighbors We generated 7461 right neighbors We generated 10009 non-negative rho_i D1(823,859) = 0.6813775295201541336 D2(823,859) = 0.004935870680211021050 C1(823,859) = 0.9376432722678073862 C2(823,859) = 1.293025772828033838 C3(823,859) = 5.961426229220877166 C4(823,859) = 6872 Sum = 4676.610359136546790 Averaged sum = 0.4672405194461531412 logp*logq = 45.35118087517565059 -------------- ************************************* p = 823; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.120494174085987381 E19 -------------- Searches starting with [823,863]-exponents: u = 1, v = 141 n_start has 417 digits starting right neighbors generation We generated 2167 left neighbors We generated 7843 right neighbors We generated 10009 non-negative rho_i D1(823,863) = 0.5594806149754501166 D2(823,863) = 0.002204793771381771166 C1(823,863) = 0.7744352408523402818 C2(823,863) = 1.310791202031448110 C3(823,863) = 4.369092087025695232 C4(823,863) = 6904 Sum = 4334.342705028984983 Averaged sum = 0.4330445304255155343 logp*logq = 45.38236771965685505 -------------- ************************************* p = 823; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.704628520610910832 E19 -------------- Searches starting with [823,877]-exponents: u = 1, v = 105 n_start has 312 digits starting right neighbors generation We generated 1217 left neighbors We generated 8793 right neighbors We generated 10009 non-negative rho_i D1(823,877) = 0.5689788074396428561 D2(823,877) = 0.005465103800403829664 C1(823,877) = 0.8008208280027766594 C2(823,877) = 1.374799383133361735 C3(823,877) = 4.594199020588657516 C4(823,877) = 7016 Sum = 4455.875025299055383 Averaged sum = 0.4451868343789644703 logp*logq = 45.49039463337636716 -------------- ************************************* p = 823; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.881583746519421274 E19 -------------- Searches starting with [823,881]-exponents: u = 1, v = 98 n_start has 292 digits starting right neighbors generation We generated 1044 left neighbors We generated 8966 right neighbors We generated 10009 non-negative rho_i D1(823,881) = 0.5412267628256523902 D2(823,881) = 0.01315178916073188723 C1(823,881) = 0.7650007060604907655 C2(823,881) = 1.397005953311222452 C3(823,881) = 4.291307654060041601 C4(823,881) = 7048 Sum = 4410.200233688059316 Averaged sum = 0.4406234622527784310 logp*logq = 45.52094283717680645 -------------- ************************************* p = 823; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.971798866663411797 E19 -------------- Searches starting with [823,883]-exponents: u = 1, v = 95 n_start has 283 digits starting right neighbors generation We generated 1011 left neighbors We generated 8999 right neighbors We generated 10009 non-negative rho_i D1(823,883) = 0.5511614862884137598 D2(823,883) = 0.01019072786509659113 C1(823,883) = 0.7810832861931927053 C2(823,883) = 1.401778822537320498 C3(823,883) = 4.424748176229238581 C4(823,883) = 7064 Sum = 3863.272194859898950 Averaged sum = 0.3859798376321209861 logp*logq = 45.53616496660338184 -------------- ************************************* p = 823; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.155766571160899468 E19 -------------- Searches starting with [823,887]-exponents: u = 1, v = 89 n_start has 266 digits starting right neighbors generation We generated 864 left neighbors We generated 9146 right neighbors We generated 10009 non-negative rho_i D1(823,887) = 0.5607425857054437681 D2(823,887) = 0.01499324077833044267 C1(823,887) = 0.7974327300843412250 C2(823,887) = 1.420361391909653633 C3(823,887) = 4.564656903553901430 C4(823,887) = 7096 Sum = 4389.431436372295914 Averaged sum = 0.4385484500322006109 logp*logq = 45.56650606322982689 -------------- ************************************* p = 823; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.149705886521853507 E19 -------------- Searches starting with [823,907]-exponents: u = 1, v = 69 n_start has 207 digits starting right neighbors generation We generated 602 left neighbors We generated 9408 right neighbors We generated 10009 non-negative rho_i D1(823,907) = 0.8034762620643387429 D2(823,907) = 0.001903882176545753618 C1(823,907) = 1.163569856103024722 C2(823,907) = 1.472338794043963497 C3(823,907) = 9.165833989680022714 C4(823,907) = 7256 Sum = 3444.909809176632671 Averaged sum = 0.3441812178216238057 logp*logq = 45.71618798799453884 -------------- ************************************* p = 823; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.364058666890410169 E19 -------------- Searches starting with [823,911]-exponents: u = 1, v = 66 n_start has 199 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(823,911) = 0.7849992905270833104 D2(823,911) = 0.02609778421882717407 C1(823,911) = 1.140477380719568040 C2(823,911) = 1.505124488797103978 C3(823,911) = 8.771553169113387508 C4(823,911) = 7288 Sum = 3375.465350670727837 Averaged sum = 0.3372430163523556636 logp*logq = 45.74572799694112150 -------------- ************************************* p = 823; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.809212427164930870 E19 -------------- Searches starting with [823,919]-exponents: u = 1, v = 60 n_start has 181 digits starting right neighbors generation We generated 412 left neighbors We generated 9598 right neighbors We generated 10009 non-negative rho_i D1(823,919) = 0.6725144921401503357 D2(823,919) = 0.01672308083717952254 C1(823,919) = 0.9827767672076471851 C2(823,919) = 1.518615239139901152 C3(823,919) = 6.496383946643378718 C4(823,919) = 7352 Sum = 4480.500348635970038 Averaged sum = 0.4476471524264132319 logp*logq = 45.80442088406140904 -------------- ************************************* p = 823; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.397683276854102952 E19 -------------- Searches starting with [823,929]-exponents: u = 1, v = 55 n_start has 167 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(823,929) = 0.5737535053792682939 D2(823,929) = 0.01321958233401671857 C1(823,929) = 0.8048429217162491613 C2(823,929) = 1.541095498436626193 C3(823,929) = 4.629517496106239853 C4(823,929) = 7432 Sum = 3961.703570291958786 Averaged sum = 0.3958141243173102993 logp*logq = 45.87707263432170664 -------------- ************************************* p = 823; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.895240886684805937 E19 -------------- Searches starting with [823,937]-exponents: u = 1, v = 51 n_start has 155 digits starting right neighbors generation We generated 302 left neighbors We generated 9708 right neighbors We generated 10009 non-negative rho_i D1(823,937) = 0.5786650833580478565 D2(823,937) = 0.02792470154897072817 C1(823,937) = 0.8561764487445070016 C2(823,937) = 1.573328932986184153 C3(823,937) = 5.104863481853187542 C4(823,937) = 7496 Sum = 4118.226085571348266 Averaged sum = 0.4114523014857976087 logp*logq = 45.93463316877174039 -------------- ************************************* p = 823; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.153283228164215184 E19 -------------- Searches starting with [823,941]-exponents: u = 1, v = 50 n_start has 152 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(823,941) = 0.7351475785554911715 D2(823,941) = 0.003367890602885957758 C1(823,941) = 1.091156275832555950 C2(823,941) = 1.561074815865563833 C3(823,941) = 7.985317660126736370 C4(823,941) = 7528 Sum = 2946.961341877648962 Averaged sum = 0.2944311461562242943 logp*logq = 45.96322940456299815 -------------- ************************************* p = 823; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.552280060730558959 E19 -------------- Searches starting with [823,947]-exponents: u = 1, v = 47 n_start has 143 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(823,947) = 0.6450929422667540420 D2(823,947) = 0.005293270479919399003 C1(823,947) = 0.9606990848429542660 C2(823,947) = 1.576318627524491787 C3(823,947) = 6.228957159542031466 C4(823,947) = 7576 Sum = 4223.485439576868941 Averaged sum = 0.4219687720628303467 logp*logq = 46.00589664269802363 -------------- ************************************* p = 823; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.965983406586302841 E19 -------------- Searches starting with [823,953]-exponents: u = 1, v = 45 n_start has 137 digits starting right neighbors generation We generated 224 left neighbors We generated 9786 right neighbors We generated 10009 non-negative rho_i D1(823,953) = 0.5881204310927288382 D2(823,953) = 0.05341448778689900591 C1(823,953) = 0.8789675882862760496 C2(823,953) = 1.631826972003517383 C3(823,953) = 5.331267087098301561 C4(823,953) = 7624 Sum = 4026.009114304926171 Averaged sum = 0.4022388964237112770 logp*logq = 46.04829440174231690 -------------- ************************************* p = 823; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.099099881038417756 E20 -------------- Searches starting with [823,967]-exponents: u = 1, v = 41 n_start has 126 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(823,967) = 0.6070306998392294690 D2(823,967) = 0.04091992293264004362 C1(823,967) = 0.8452424007165011017 C2(823,967) = 1.649735540255826180 C3(823,967) = 4.999684701486163985 C4(823,967) = 7736 Sum = 4113.451433797948878 Averaged sum = 0.4109752656407182414 logp*logq = 46.14619341473817624 -------------- ************************************* p = 823; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.129982850111438271 E20 -------------- Searches starting with [823,971]-exponents: u = 1, v = 40 n_start has 123 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(823,971) = 0.5473548102945458149 D2(823,971) = 0.03766641039125325939 C1(823,971) = 0.7832081296151578692 C2(823,971) = 1.654798333623711600 C3(823,971) = 4.442686020719476655 C4(823,971) = 7768 Sum = 4080.963616802339782 Averaged sum = 0.4077294052155399921 logp*logq = 46.17390431559746018 -------------- ************************************* p = 823; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.177690714534961725 E20 -------------- Searches starting with [823,977]-exponents: u = 1, v = 39 n_start has 120 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(823,977) = 0.6703211495658708816 D2(823,977) = 0.06153003439532634242 C1(823,977) = 1.016319952991969709 C2(823,977) = 1.687554061161395002 C3(823,977) = 6.924828276980751988 C4(823,977) = 7816 Sum = 2558.746391660072865 Averaged sum = 0.2556445590628507208 logp*logq = 46.21525735930911915 -------------- ************************************* p = 823; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.227102083191287584 E20 -------------- Searches starting with [823,983]-exponents: u = 1, v = 37 n_start has 114 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(823,983) = 0.5846345637792764999 D2(823,983) = 0.007551500749636492227 C1(823,983) = 0.8884829396159131382 C2(823,983) = 1.651465688156143719 C3(823,983) = 5.428737169159960143 C4(823,983) = 7864 Sum = 3893.711204965836421 Averaged sum = 0.3890210015951480089 logp*logq = 46.25635721953389004 -------------- ************************************* p = 823; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.295720161764518758 E20 -------------- Searches starting with [823,991]-exponents: u = 1, v = 36 n_start has 111 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(823,991) = 0.6813089848009269027 D2(823,991) = 0.04312978960235026088 C1(823,991) = 0.9145967812621060460 C2(823,991) = 1.697222703574469658 C3(823,991) = 5.705486896680631194 C4(823,991) = 7928 Sum = 2745.655136728330604 Averaged sum = 0.2743186269086153066 logp*logq = 46.31076850993151708 -------------- ************************************* p = 823; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.349302288427662074 E20 -------------- Searches starting with [823,997]-exponents: u = 1, v = 35 n_start has 108 digits starting right neighbors generation We generated 174 left neighbors We generated 9836 right neighbors We generated 10009 non-negative rho_i D1(823,997) = 1.609084505176018826 D2(823,997) = 0.04648720600793764400 C1(823,997) = 2.464043247877934790 C2(823,997) = 1.710859725838624446 C3(823,997) = 109.0313523912891488 C4(823,997) = 7976 Sum = 2560.975067139803134 Averaged sum = 0.2558672262103909615 logp*logq = 46.35128949534509469 -------------- ************************************* p = 827; q = 829; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.039050917136668024 E19 -------------- Searches starting with [827,829]-exponents: u = 1, v = 2781 n_start has 8120 digits --- performed 5000 steps in the continued fraction search [827,829]-exponents: u = 2219, v = 562 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(827,829) = 0.7929130445129082858 D2(827,829) = 0.5336685466725063256 C1(827,829) = 0.9833460783590843543 C2(827,829) = 1.428400718951531069 C3(827,829) = 6.508048693710216122 C4(827,829) = 6632 Sum = 6124.955979597232343 Averaged sum = 0.6125568536450877430 logp*logq = 45.14512650976072379 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(827,829) = 0.7929130445129082858 D2(827,829) = 0.5336685466725063256 C1(827,829) = 0.9833460783590843543 C2(827,829) = 1.428400718951531069 C3(827,829) = 6.508048693710216122 C4(827,829) = 6632 Sum = 6124.955979597232343 Averaged sum = 0.6125568536450877430 logp*logq = 45.14512650976072379 -------------- ************************************* p = 827; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.377859581433301618 E19 -------------- Searches starting with [827,839]-exponents: u = 1, v = 466 n_start has 1366 digits --- performed 5000 steps in the continued fraction search [827,839]-exponents: u = 385, v = 72 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(827,839) = 0.6680668408802644091 D2(827,839) = 0.1347030060331041383 C1(827,839) = 0.8751023240415719195 C2(827,839) = 1.235166021557962336 C3(827,839) = 5.295519811033841927 C4(827,839) = 6712 Sum = 5265.613340040307820 Averaged sum = 0.5266139954035711391 logp*logq = 45.22567669179415944 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(827,839) = 0.6680668408802644091 D2(827,839) = 0.1347030060331041383 C1(827,839) = 0.8751023240415719195 C2(827,839) = 1.235166021557962336 C3(827,839) = 5.295519811033841927 C4(827,839) = 6712 Sum = 5265.613340040307820 Averaged sum = 0.5266139954035711391 logp*logq = 45.22567669179415944 -------------- ************************************* p = 827; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.892638883170018987 E19 -------------- Searches starting with [827,853]-exponents: u = 1, v = 217 n_start has 639 digits starting right neighbors generation We generated 4979 left neighbors We generated 5031 right neighbors We generated 10009 non-negative rho_i D1(827,853) = 1.017310257002717516 D2(827,853) = 0.003231825875647564824 C1(827,853) = 1.377183087013445238 C2(827,853) = 1.232382579729638654 C3(827,853) = 13.77982010719279310 C4(827,853) = 6824 Sum = 4755.629313724079372 Averaged sum = 0.4751353095937735410 logp*logq = 45.33684857372556444 -------------- ************************************* p = 827; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.048848463322650257 E19 -------------- Searches starting with [827,857]-exponents: u = 1, v = 188 n_start has 555 digits starting right neighbors generation We generated 3609 left neighbors We generated 6401 right neighbors We generated 10009 non-negative rho_i D1(827,857) = 0.5695778975094192928 D2(827,857) = 0.009524272829301695437 C1(827,857) = 0.7763446264779326356 C2(827,857) = 1.263152904272992832 C3(827,857) = 4.387463599142388555 C4(827,857) = 6856 Sum = 4719.471293548027584 Averaged sum = 0.4715227588718181220 logp*logq = 45.36827695710719071 -------------- ************************************* p = 827; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.128531781150270087 E19 -------------- Searches starting with [827,859]-exponents: u = 1, v = 176 n_start has 520 digits starting right neighbors generation We generated 3210 left neighbors We generated 6800 right neighbors We generated 10009 non-negative rho_i D1(827,859) = 0.8868044057733350798 D2(827,859) = 0.003359444862042593428 C1(827,859) = 1.212783058067655826 C2(827,859) = 1.269275683064684603 C3(827,859) = 10.07505310183108150 C4(827,859) = 6872 Sum = 4827.979450846389551 Averaged sum = 0.4823638176487550755 logp*logq = 45.38393618260097250 -------------- ************************************* p = 827; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.291113870204178752 E19 -------------- Searches starting with [827,863]-exponents: u = 1, v = 157 n_start has 464 digits starting right neighbors generation We generated 2566 left neighbors We generated 7444 right neighbors We generated 10009 non-negative rho_i D1(827,863) = 0.6053019135103737211 D2(827,863) = 0.007662233818845486203 C1(827,863) = 0.8327585166792685297 C2(827,863) = 1.294974077333096148 C3(827,863) = 4.885180788965045366 C4(827,863) = 6904 Sum = 4638.632795096996293 Averaged sum = 0.4634461779495450387 logp*logq = 45.41514555206739000 -------------- ************************************* p = 827; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.895172067790344886 E19 -------------- Searches starting with [827,877]-exponents: u = 1, v = 114 n_start has 339 digits starting right neighbors generation We generated 1429 left neighbors We generated 8581 right neighbors We generated 10009 non-negative rho_i D1(827,877) = 0.5484041701063515501 D2(827,877) = 0.006694771827206393921 C1(827,877) = 0.7685519852464422222 C2(827,877) = 1.359121549309518997 C3(827,877) = 4.322820876797116632 C4(827,877) = 7016 Sum = 4090.280485010293328 Averaged sum = 0.4086602542721843668 logp*logq = 45.52325048921872477 -------------- ************************************* p = 827; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.078171981623935944 E19 -------------- Searches starting with [827,881]-exponents: u = 1, v = 106 n_start has 316 digits starting right neighbors generation We generated 1229 left neighbors We generated 8781 right neighbors We generated 10009 non-negative rho_i D1(827,881) = 0.6593256596608972775 D2(827,881) = 0.01506983557005819240 C1(827,881) = 0.9280842600603109489 C2(827,881) = 1.382751363671342957 C3(827,881) = 5.857829204428463305 C4(827,881) = 7048 Sum = 4006.847110461118313 Averaged sum = 0.4003244190689497765 logp*logq = 45.55382075674027264 -------------- ************************************* p = 827; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.171470336146124231 E19 -------------- Searches starting with [827,883]-exponents: u = 1, v = 102 n_start has 304 digits starting right neighbors generation We generated 1181 left neighbors We generated 8829 right neighbors We generated 10009 non-negative rho_i D1(827,883) = 0.5290085819083868687 D2(827,883) = 0.001005003228552028787 C1(827,883) = 0.7459660170069188782 C2(827,883) = 1.378011564253736282 C3(827,883) = 4.140792890674734487 C4(827,883) = 7064 Sum = 4418.208396442220321 Averaged sum = 0.4414235584416245700 logp*logq = 45.56905388048980531 -------------- ************************************* p = 827; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.361728545858169183 E19 -------------- Searches starting with [827,887]-exponents: u = 1, v = 95 n_start has 283 digits starting right neighbors generation We generated 924 left neighbors We generated 9086 right neighbors We generated 10009 non-negative rho_i D1(827,887) = 0.7874926117799721506 D2(827,887) = 0.02237686666883952006 C1(827,887) = 1.115379018509437628 C2(827,887) = 1.412006811103479131 C3(827,887) = 8.368970866124721188 C4(827,887) = 7096 Sum = 4799.583601803496273 Averaged sum = 0.4795267860728840316 logp*logq = 45.59941689125229802 -------------- ************************************* p = 827; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.389722313527202511 E19 -------------- Searches starting with [827,907]-exponents: u = 1, v = 72 n_start has 216 digits starting right neighbors generation We generated 563 left neighbors We generated 9447 right neighbors We generated 10009 non-negative rho_i D1(827,907) = 0.6067642975177182290 D2(827,907) = 0.02365444282702454187 C1(827,907) = 0.8752874725243317531 C2(827,907) = 1.479038422235492010 C3(827,907) = 5.297387677918573461 C4(827,907) = 7256 Sum = 4397.718247091762828 Averaged sum = 0.4393763859618106532 logp*logq = 45.74920692516360919 -------------- ************************************* p = 827; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.611433333060675158 E19 -------------- Searches starting with [827,911]-exponents: u = 1, v = 69 n_start has 208 digits starting right neighbors generation We generated 539 left neighbors We generated 9471 right neighbors We generated 10009 non-negative rho_i D1(827,911) = 0.6572225977947069798 D2(827,911) = 0.02390986156547206535 C1(827,911) = 0.9101854158788667567 C2(827,911) = 1.491032961754819480 C3(827,911) = 5.661484087903717534 C4(827,911) = 7288 Sum = 3897.981465971794987 Averaged sum = 0.3894476437178334486 logp*logq = 45.77876826965329613 -------------- ************************************* p = 827; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.071882943230133676 E19 -------------- Searches starting with [827,919]-exponents: u = 1, v = 63 n_start has 190 digits starting right neighbors generation We generated 433 left neighbors We generated 9577 right neighbors We generated 10009 non-negative rho_i D1(827,919) = 0.5583836731876501711 D2(827,919) = 0.03279371267404424867 C1(827,919) = 0.8131726059940519722 C2(827,919) = 1.521348952695248556 C3(827,919) = 4.706289505450259330 C4(827,919) = 7352 Sum = 4234.442864287475527 Averaged sum = 0.4230635292524203743 logp*logq = 45.83750354825103154 -------------- ************************************* p = 827; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.680603075640728793 E19 -------------- Searches starting with [827,929]-exponents: u = 1, v = 57 n_start has 173 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(827,929) = 0.5963759365417247431 D2(827,929) = 0.007977686375467569277 C1(827,929) = 0.8749641508002348954 C2(827,929) = 1.525650528967981749 C3(827,929) = 5.294126282135166944 C4(827,929) = 7432 Sum = 4245.161623954625992 Averaged sum = 0.4241344413982042154 logp*logq = 45.91020777190604214 -------------- ************************************* p = 827; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.195305785161059627 E19 -------------- Searches starting with [827,937]-exponents: u = 1, v = 53 n_start has 161 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(827,937) = 0.6175126462409960730 D2(827,937) = 0.03415893825732322132 C1(827,937) = 0.9110281114789572839 C2(827,937) = 1.568488163910625661 C3(827,937) = 5.670578826066813904 C4(827,937) = 7496 Sum = 4247.343631192910853 Averaged sum = 0.4243524459179649168 logp*logq = 45.96780987998139485 -------------- ************************************* p = 827; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.462248149607594837 E19 -------------- Searches starting with [827,941]-exponents: u = 1, v = 52 n_start has 158 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(827,941) = 1.012553387977804238 D2(827,941) = 0.01589987172840529619 C1(827,941) = 1.498330309413955386 C2(827,941) = 1.561875302742231533 C3(827,941) = 17.35640783896239016 C4(827,941) = 7528 Sum = 3048.437971234256391 Averaged sum = 0.3045696844074589261 logp*logq = 45.99642676966691675 -------------- ************************************* p = 827; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.875017250978334887 E19 -------------- Searches starting with [827,947]-exponents: u = 1, v = 49 n_start has 149 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(827,947) = 0.5860952524002408580 D2(827,947) = 0.02632266329965591045 C1(827,947) = 0.8279912861391241142 C2(827,947) = 1.584886381981075405 C3(827,947) = 4.841022007452096266 C4(827,947) = 7576 Sum = 4179.385246006142464 Averaged sum = 0.4175627181542753985 logp*logq = 46.03912482460704260 -------------- ************************************* p = 827; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.030301364090167374 E20 -------------- Searches starting with [827,953]-exponents: u = 1, v = 47 n_start has 143 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(827,953) = 0.5964488724154688245 D2(827,953) = 0.02675369940087294780 C1(827,953) = 0.8247304511466664551 C2(827,953) = 1.598635182869762381 C3(827,953) = 4.811047059497774761 C4(827,953) = 7624 Sum = 3969.844852107870019 Averaged sum = 0.3966275204423888519 logp*logq = 46.08155320582268490 -------------- ************************************* p = 827; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.136349654506627552 E20 -------------- Searches starting with [827,967]-exponents: u = 1, v = 42 n_start has 129 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(827,967) = 0.8683598390898825972 D2(827,967) = 0.02779932261631135385 C1(827,967) = 1.305446369948003095 C2(827,967) = 1.629140918890095534 C3(827,967) = 12.01990324876303211 C4(827,967) = 7736 Sum = 4872.565090327781749 Averaged sum = 0.4868183724975303975 logp*logq = 46.17952292728093557 -------------- ************************************* p = 827; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.168302666030121488 E20 -------------- Searches starting with [827,971]-exponents: u = 1, v = 41 n_start has 126 digits starting right neighbors generation We generated 204 left neighbors We generated 9806 right neighbors We generated 10009 non-negative rho_i D1(827,971) = 0.6553271648621116148 D2(827,971) = 0.02810886918976138601 C1(827,971) = 0.9872004664611338603 C2(827,971) = 1.637492612092051954 C3(827,971) = 6.556004591356084721 C4(827,971) = 7768 Sum = 4123.154571734498366 Averaged sum = 0.4119447069372063509 logp*logq = 46.20725384259318771 -------------- ************************************* p = 827; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.217664760891957935 E20 -------------- Searches starting with [827,977]-exponents: u = 1, v = 40 n_start has 123 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(827,977) = 0.6223484294618418224 D2(827,977) = 0.05575843205863936963 C1(827,977) = 0.8682729177727947964 C2(827,977) = 1.673740965203009969 C3(827,977) = 5.227079738997838453 C4(827,977) = 7816 Sum = 3842.747531787890241 Averaged sum = 0.3839292168835937897 logp*logq = 46.24863675392093978 -------------- ************************************* p = 827; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.268790949832029227 E20 -------------- Searches starting with [827,983]-exponents: u = 1, v = 38 n_start has 117 digits starting right neighbors generation We generated 189 left neighbors We generated 9821 right neighbors We generated 10009 non-negative rho_i D1(827,983) = 0.6839456890786396441 D2(827,983) = 0.008670149191659623844 C1(827,983) = 1.037102623960248171 C2(827,983) = 1.643897260206763964 C3(827,983) = 7.209741268285932344 C4(827,983) = 7864 Sum = 4131.470390698077130 Averaged sum = 0.4127755410828331631 logp*logq = 46.28976629889770215 -------------- ************************************* p = 827; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.339792871448573978 E20 -------------- Searches starting with [827,991]-exponents: u = 1, v = 37 n_start has 114 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(827,991) = 0.6697211252662355680 D2(827,991) = 0.04962467130591347228 C1(827,991) = 1.020418557748221781 C2(827,991) = 1.694669888548554312 C3(827,991) = 6.984224059848677783 C4(827,991) = 7928 Sum = 2665.413680977799762 Averaged sum = 0.2663016965708661967 logp*logq = 46.34421688835017162 -------------- ************************************* p = 827; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.395238377407689658 E20 -------------- Searches starting with [827,997]-exponents: u = 1, v = 35 n_start has 108 digits starting right neighbors generation We generated 141 left neighbors We generated 9869 right neighbors We generated 10009 non-negative rho_i D1(827,997) = 0.7969588364424203396 D2(827,997) = 0.05776950114515943153 C1(827,997) = 1.217355112627807212 C2(827,997) = 1.712707839624589768 C3(827,997) = 10.16317660853448481 C4(827,997) = 7976 Sum = 4424.593381668457882 Averaged sum = 0.4420614828322967212 logp*logq = 46.38476714041808513 -------------- ************************************* p = 829; q = 839; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.449631622681427568 E19 -------------- Searches starting with [829,839]-exponents: u = 1, v = 560 n_start has 1641 digits --- performed 5000 steps in the continued fraction search [829,839]-exponents: u = 548, v = 5 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(829,839) = 0.6312421038862032755 D2(829,839) = 0.1776256558284302530 C1(829,839) = 0.8212335474827016546 C2(829,839) = 1.251691769681856478 C3(829,839) = 4.780519428052664566 C4(829,839) = 6712 Sum = 5369.166110374979619 Averaged sum = 0.5369703080683047924 logp*logq = 45.24193807821854208 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(829,839) = 0.6312421038862032755 D2(829,839) = 0.1776256558284302530 C1(829,839) = 0.8212335474827016546 C2(829,839) = 1.251691769681856478 C3(829,839) = 4.780519428052664566 C4(829,839) = 6712 Sum = 5369.166110374979619 Averaged sum = 0.5369703080683047924 logp*logq = 45.24193807821854208 -------------- ************************************* p = 829; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.973049166284282165 E19 -------------- Searches starting with [829,853]-exponents: u = 1, v = 235 n_start has 692 digits --- performed 5000 steps in the continued fraction search [829,853]-exponents: u = 61, v = 153 --- starting right neighbors generation We generated 5624 left neighbors We generated 4386 right neighbors We generated 10009 non-negative rho_i D1(829,853) = 0.5836758353880128421 D2(829,853) = 0.006483840105629829008 C1(829,853) = 0.7871913916801658279 C2(829,853) = 1.221494564654305110 C3(829,853) = 4.480321398270174080 C4(829,853) = 6824 Sum = 4811.740030059117170 Averaged sum = 0.4807413358036883975 logp*logq = 45.35314993321533496 -------------- ************************************* p = 829; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.131884035433260964 E19 -------------- Searches starting with [829,857]-exponents: u = 1, v = 202 n_start has 596 digits starting right neighbors generation We generated 4256 left neighbors We generated 5754 right neighbors We generated 10009 non-negative rho_i D1(829,857) = 0.6340978997761586214 D2(829,857) = 0.005267169123175001203 C1(829,857) = 0.8614624855286224999 C2(829,857) = 1.246876245690657288 C3(829,857) = 5.161308841706602839 C4(829,857) = 6856 Sum = 4683.859110108220240 Averaged sum = 0.4679647427423539055 logp*logq = 45.38458961701575529 -------------- ************************************* p = 829; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.212907210897964908 E19 -------------- Searches starting with [829,859]-exponents: u = 1, v = 189 n_start has 558 digits starting right neighbors generation We generated 3800 left neighbors We generated 6210 right neighbors We generated 10009 non-negative rho_i D1(829,859) = 0.9087336356180875611 D2(829,859) = 0.004641103992793292318 C1(829,859) = 1.238682158853535041 C2(829,859) = 1.258539154318879127 C3(829,859) = 10.58924949717660573 C4(829,859) = 6872 Sum = 4632.137153932036136 Averaged sum = 0.4627971979150800416 logp*logq = 45.40025447295523713 -------------- ************************************* p = 829; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.378224478952420333 E19 -------------- Searches starting with [829,863]-exponents: u = 1, v = 167 n_start has 494 digits starting right neighbors generation We generated 3039 left neighbors We generated 6971 right neighbors We generated 10009 non-negative rho_i D1(829,863) = 0.6911908750822147463 D2(829,863) = 0.0006095719225116036979 C1(829,863) = 0.9481801821799217743 C2(829,863) = 1.277728096899966184 C3(829,863) = 6.088476562148429837 C4(829,863) = 6904 Sum = 4510.000765829453205 Averaged sum = 0.4505945414955992812 logp*logq = 45.43147506409160140 -------------- ************************************* p = 829; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.992460553548966126 E19 -------------- Searches starting with [829,877]-exponents: u = 1, v = 119 n_start has 354 digits starting right neighbors generation We generated 1494 left neighbors We generated 8516 right neighbors We generated 10009 non-negative rho_i D1(829,877) = 0.5680501468583650982 D2(829,877) = 0.01617038492068740237 C1(829,877) = 0.7940997078722618736 C2(829,877) = 1.358877330212008194 C3(829,877) = 4.539677445148669821 C4(829,877) = 7016 Sum = 4139.456902430007206 Averaged sum = 0.4135734741162960542 logp*logq = 45.53961887155480307 -------------- ************************************* p = 829; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.178548442726764519 E19 -------------- Searches starting with [829,881]-exponents: u = 1, v = 110 n_start has 327 digits starting right neighbors generation We generated 1277 left neighbors We generated 8733 right neighbors We generated 10009 non-negative rho_i D1(829,881) = 0.5378941286811715431 D2(829,881) = 0.01790899362781124526 C1(829,881) = 0.7554872871047099072 C2(829,881) = 1.377026494937865288 C3(829,881) = 4.217719722194335454 C4(829,881) = 7048 Sum = 4043.954318380009086 Averaged sum = 0.4040318032151073120 logp*logq = 45.57020013095020730 -------------- ************************************* p = 829; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.273421910664492365 E19 -------------- Searches starting with [829,883]-exponents: u = 1, v = 106 n_start has 316 digits starting right neighbors generation We generated 1229 left neighbors We generated 8781 right neighbors We generated 10009 non-negative rho_i D1(829,883) = 0.5253094066067931261 D2(829,883) = 0.009726368822796260907 C1(829,883) = 0.7394809998372713129 C2(829,883) = 1.377687315376898774 C3(829,883) = 4.091046147641943227 C4(829,883) = 7064 Sum = 3999.272397456722435 Averaged sum = 0.3995676288796805310 logp*logq = 45.58543873193590007 -------------- ************************************* p = 829; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.466893752586403336 E19 -------------- Searches starting with [829,887]-exponents: u = 1, v = 99 n_start has 295 digits starting right neighbors generation We generated 1055 left neighbors We generated 8955 right neighbors We generated 10009 non-negative rho_i D1(829,887) = 0.5624642709651558692 D2(829,887) = 0.01902500696165683124 C1(829,887) = 0.7951530067276525707 C2(829,887) = 1.401311065402870011 C3(829,887) = 4.548796187970439076 C4(829,887) = 7096 Sum = 3913.593824471396972 Averaged sum = 0.3910074757189926038 logp*logq = 45.61581266005081586 -------------- ************************************* p = 829; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.512285790562292449 E19 -------------- Searches starting with [829,907]-exponents: u = 1, v = 74 n_start has 222 digits starting right neighbors generation We generated 579 left neighbors We generated 9431 right neighbors We generated 10009 non-negative rho_i D1(829,907) = 0.5965028578442602621 D2(829,907) = 0.02993063077201772084 C1(829,907) = 0.8589087787703849958 C2(829,907) = 1.478236069070916593 C3(829,907) = 5.136259437616690098 C4(829,907) = 7256 Sum = 4387.197516105314498 Averaged sum = 0.4383252588775416623 logp*logq = 45.76565655260620112 -------------- ************************************* p = 829; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.737756280325002569 E19 -------------- Searches starting with [829,911]-exponents: u = 1, v = 71 n_start has 214 digits starting right neighbors generation We generated 620 left neighbors We generated 9390 right neighbors We generated 10009 non-negative rho_i D1(829,911) = 0.6062035528976963102 D2(829,911) = 0.003168466635508897065 C1(829,911) = 0.8762513057056196448 C2(829,911) = 1.466490152132245730 C3(829,911) = 5.308793992772000873 C4(829,911) = 7288 Sum = 3463.222289817023040 Averaged sum = 0.3460108192443823599 logp*logq = 45.79522852620043959 -------------- ************************************* p = 829; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.206021030386546050 E19 -------------- Searches starting with [829,919]-exponents: u = 1, v = 65 n_start has 196 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(829,919) = 0.6326743120685251519 D2(829,919) = 0.01845656827026150247 C1(829,919) = 0.9203673837937277228 C2(829,919) = 1.502769306917707223 C3(829,919) = 5.774266021661198409 C4(829,919) = 7352 Sum = 3333.935936901450125 Averaged sum = 0.3330938092618093840 logp*logq = 45.85398492370964051 -------------- ************************************* p = 829; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.825087537875242570 E19 -------------- Searches starting with [829,929]-exponents: u = 1, v = 59 n_start has 179 digits starting right neighbors generation We generated 459 left neighbors We generated 9551 right neighbors We generated 10009 non-negative rho_i D1(829,929) = 1.189837274630772239 D2(829,929) = 0.003076270805393198357 C1(829,929) = 1.743475331452395120 C2(829,929) = 1.515842823726920280 C3(829,929) = 27.70273982769523720 C4(829,929) = 7432 Sum = 3264.058164026886315 Averaged sum = 0.3261123153189016200 logp*logq = 45.92671528896300897 -------------- ************************************* p = 829; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.348550846591627296 E19 -------------- Searches starting with [829,937]-exponents: u = 1, v = 54 n_start has 164 digits starting right neighbors generation We generated 320 left neighbors We generated 9690 right neighbors We generated 10009 non-negative rho_i D1(829,937) = 0.7040618998490461630 D2(829,937) = 0.03468426610822254887 C1(829,937) = 1.037280747302920361 C2(829,937) = 1.563701319327249569 C3(829,937) = 7.214877738342454644 C4(829,937) = 7496 Sum = 4512.530988720406208 Averaged sum = 0.4508473362693981624 logp*logq = 45.98433810850597896 -------------- ************************************* p = 829; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.620040944178178773 E19 -------------- Searches starting with [829,941]-exponents: u = 1, v = 53 n_start has 161 digits starting right neighbors generation We generated 363 left neighbors We generated 9647 right neighbors We generated 10009 non-negative rho_i D1(829,941) = 0.9406567872584102381 D2(829,941) = 0.01976505099293496977 C1(829,941) = 1.389911466923591340 C2(829,941) = 1.560123909998606402 C3(829,941) = 14.12504419509133964 C4(829,941) = 7528 Sum = 3065.256786574745039 Averaged sum = 0.3062500536092262004 logp*logq = 46.01296528770700357 -------------- ************************************* p = 829; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.003984753421035454 E20 -------------- Searches starting with [829,947]-exponents: u = 1, v = 50 n_start has 152 digits starting right neighbors generation We generated 296 left neighbors We generated 9714 right neighbors We generated 10009 non-negative rho_i D1(829,947) = 1.152593352860608782 D2(829,947) = 0.03458847405761919370 C1(829,947) = 1.626370721247817253 C2(829,947) = 1.587198201018361376 C3(829,947) = 22.16319160233186047 C4(829,947) = 7576 Sum = 4947.415120070963230 Averaged sum = 0.4942966450265724078 logp*logq = 46.05567869519952311 -------------- ************************************* p = 829; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.047514769129618023 E20 -------------- Searches starting with [829,953]-exponents: u = 1, v = 48 n_start has 146 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(829,953) = 0.6066127126423648249 D2(829,953) = 0.03944935349626002173 C1(829,953) = 0.9035680899964191503 C2(829,953) = 1.605001974496601001 C3(829,953) = 5.592388442809722434 C4(829,953) = 7624 Sum = 3232.081976934549195 Averaged sum = 0.3229175718787640319 logp*logq = 46.09812233200342361 -------------- ************************************* p = 829; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.155375523456893242 E20 -------------- Searches starting with [829,967]-exponents: u = 1, v = 43 n_start has 132 digits starting right neighbors generation We generated 214 left neighbors We generated 9796 right neighbors We generated 10009 non-negative rho_i D1(829,967) = 0.6689620932940399799 D2(829,967) = 0.05060907171496721011 C1(829,967) = 0.9291693943595739696 C2(829,967) = 1.644732410395881994 C3(829,967) = 5.871910485722073303 C4(829,967) = 7736 Sum = 4123.545603353250743 Averaged sum = 0.4119837749378809814 logp*logq = 46.19612727954594890 -------------- ************************************* p = 829; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.187875367506816592 E20 -------------- Searches starting with [829,971]-exponents: u = 1, v = 42 n_start has 129 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(829,971) = 1.030908802492340412 D2(829,971) = 0.05376690497317171828 C1(829,971) = 1.470686541966691356 C2(829,971) = 1.655674790160604575 C3(829,971) = 16.47486178167016787 C4(829,971) = 7768 Sum = 4788.365451751895000 Averaged sum = 0.4784059797933754621 logp*logq = 46.22386816581193309 -------------- ************************************* p = 829; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.238082853043372346 E20 -------------- Searches starting with [829,977]-exponents: u = 1, v = 40 n_start has 123 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(829,977) = 0.7464609453769260375 D2(829,977) = 0.01882478185592723560 C1(829,977) = 1.126938222567415567 C2(829,977) = 1.636807315000297834 C3(829,977) = 8.558745091344304078 C4(829,977) = 7816 Sum = 4394.249518986416908 Averaged sum = 0.4390298250560912087 logp*logq = 46.26526595681781695 -------------- ************************************* p = 829; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.290085416459443631 E20 -------------- Searches starting with [829,983]-exponents: u = 1, v = 39 n_start has 120 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(829,983) = 0.6171164394923036212 D2(829,983) = 0.04111190679732940811 C1(829,983) = 0.8846542797532828210 C2(829,983) = 1.667984199450169064 C3(829,983) = 5.394464693391257497 C4(829,983) = 7864 Sum = 4016.013874415549428 Averaged sum = 0.4012402711974772133 logp*logq = 46.30641029037207002 -------------- ************************************* p = 829; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.362305654181204344 E20 -------------- Searches starting with [829,991]-exponents: u = 1, v = 37 n_start has 114 digits starting right neighbors generation We generated 184 left neighbors We generated 9826 right neighbors We generated 10009 non-negative rho_i D1(829,991) = 0.7033597995425261059 D2(829,991) = 0.01562745191773980595 C1(829,991) = 0.9852489425131979128 C2(829,991) = 1.660672669160380646 C3(829,991) = 6.533993817932482621 C4(829,991) = 7928 Sum = 4129.729849250235613 Averaged sum = 0.4126016434459222313 logp*logq = 46.36088045812918612 -------------- ************************************* p = 829; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.418703505990507500 E20 -------------- Searches starting with [829,997]-exponents: u = 1, v = 36 n_start has 111 digits starting right neighbors generation We generated 179 left neighbors We generated 9831 right neighbors We generated 10009 non-negative rho_i D1(829,997) = 0.5595082674102388567 D2(829,997) = 0.02376881962573791390 C1(829,997) = 0.8063950854924995341 C2(829,997) = 1.678707158105168251 C3(829,997) = 4.647270896241254901 C4(829,997) = 7976 Sum = 3888.218709606045443 Averaged sum = 0.3884722459392592110 logp*logq = 46.40144529048349261 -------------- ************************************* p = 839; q = 853; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.392205657494603341 E19 -------------- Searches starting with [839,853]-exponents: u = 1, v = 406 n_start has 1193 digits --- performed 5000 steps in the continued fraction search [839,853]-exponents: u = 194, v = 201 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(839,853) = 0.5441333321547381205 D2(839,853) = 0.08631168261339909407 C1(839,853) = 0.7168147931520344602 C2(839,853) = 1.210239004174870127 C3(839,853) = 3.923157019262765410 C4(839,853) = 6824 Sum = 5181.774664726427823 Averaged sum = 0.5182292894015829406 logp*logq = 45.43407128099625976 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(839,853) = 0.5441333321547381205 D2(839,853) = 0.08631168261339909407 C1(839,853) = 0.7168147931520344602 C2(839,853) = 1.210239004174870127 C3(839,853) = 3.923157019262765410 C4(839,853) = 6824 Sum = 5181.774664726427823 Averaged sum = 0.5182292894015829406 logp*logq = 45.43407128099625976 -------------- ************************************* p = 839; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.564740173050416852 E19 -------------- Searches starting with [839,857]-exponents: u = 1, v = 317 n_start has 933 digits --- performed 5000 steps in the continued fraction search [839,857]-exponents: u = 48, v = 254 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(839,857) = 0.7494998607714801798 D2(839,857) = 0.002842882698554176481 C1(839,857) = 0.9975407472605644888 C2(839,857) = 1.170820630417379993 C3(839,857) = 6.700713526609536540 C4(839,857) = 6856 Sum = 5030.497016893497178 Averaged sum = 0.5031000116905187697 logp*logq = 45.46556706104557752 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(839,857) = 0.7494998607714801798 D2(839,857) = 0.002842882698554176481 C1(839,857) = 0.9975407472605644888 C2(839,857) = 1.170820630417379993 C3(839,857) = 6.700713526609536540 C4(839,857) = 6856 Sum = 5030.497016893497178 Averaged sum = 0.5031000116905187697 logp*logq = 45.46556706104557752 -------------- ************************************* p = 839; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.652755357138584692 E19 -------------- Searches starting with [839,859]-exponents: u = 1, v = 285 n_start has 840 digits --- performed 5000 steps in the continued fraction search [839,859]-exponents: u = 23, v = 245 --- starting right neighbors generation We generated 8174 left neighbors We generated 1836 right neighbors We generated 10009 non-negative rho_i D1(839,859) = 0.6887637130040778572 D2(839,859) = 0.004160686866950198859 C1(839,859) = 0.9208354709208959066 C2(839,859) = 1.188588944190106163 C3(839,859) = 5.788912508373803645 C4(839,859) = 6872 Sum = 4966.739179467760971 Averaged sum = 0.4962273133647478240 logp*logq = 45.48125986700081975 -------------- ************************************* p = 839; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 5.832346442035159133 E19 -------------- Searches starting with [839,863]-exponents: u = 1, v = 238 n_start has 702 digits --- performed 5000 steps in the continued fraction search [839,863]-exponents: u = 212, v = 6 --- starting right neighbors generation We generated 5699 left neighbors We generated 4311 right neighbors We generated 10009 non-negative rho_i D1(839,863) = 0.6441291024395396690 D2(839,863) = 0.006896266332617494522 C1(839,863) = 0.8682438645015617899 C2(839,863) = 1.220875036155180394 C3(839,863) = 5.236520909517309261 C4(839,863) = 6904 Sum = 4854.435094275692505 Averaged sum = 0.4850070031247569692 logp*logq = 45.51253616347004386 -------------- ************************************* p = 839; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.499700894493409062 E19 -------------- Searches starting with [839,877]-exponents: u = 1, v = 151 n_start has 448 digits starting right neighbors generation We generated 2327 left neighbors We generated 7683 right neighbors We generated 10009 non-negative rho_i D1(839,877) = 1.023449188258603488 D2(839,877) = 0.008773581296733481160 C1(839,877) = 1.411411219894023749 C2(839,877) = 1.304745307415974414 C3(839,877) = 14.75268501476365620 C4(839,877) = 7016 Sum = 4964.450341710220122 Averaged sum = 0.4959986353991627656 logp*logq = 45.62087292649789693 -------------- ************************************* p = 839; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.701906134433518794 E19 -------------- Searches starting with [839,881]-exponents: u = 1, v = 137 n_start has 407 digits starting right neighbors generation We generated 1979 left neighbors We generated 8031 right neighbors We generated 10009 non-negative rho_i D1(839,881) = 0.6934601608000837832 D2(839,881) = 0.005380904632767698256 C1(839,881) = 0.9614444845036017405 C2(839,881) = 1.321085332041819646 C3(839,881) = 6.255004884021220928 C4(839,881) = 7048 Sum = 4647.460687827527441 Averaged sum = 0.4643281734266687422 logp*logq = 45.65150875049864297 -------------- ************************************* p = 839; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.805000938848428160 E19 -------------- Searches starting with [839,883]-exponents: u = 1, v = 131 n_start has 389 digits starting right neighbors generation We generated 1770 left neighbors We generated 8240 right neighbors We generated 10009 non-negative rho_i D1(839,883) = 0.6177149284668034207 D2(839,883) = 0.01331227254077992932 C1(839,883) = 0.8585817407509541497 C2(839,883) = 1.337379854747045331 C3(839,883) = 5.140922771757614521 C4(839,883) = 7064 Sum = 4567.962280951317736 Averaged sum = 0.4563854811620858962 logp*logq = 45.66677454095478871 -------------- ************************************* p = 839; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.015246815212143672 E19 -------------- Searches starting with [839,887]-exponents: u = 1, v = 121 n_start has 360 digits starting right neighbors generation We generated 1630 left neighbors We generated 8380 right neighbors We generated 10009 non-negative rho_i D1(839,887) = 1.143931933977676825 D2(839,887) = 0.007687892147774131591 C1(839,887) = 1.598003248483845847 C2(839,887) = 1.349898063858368573 C3(839,887) = 21.05710657187333712 C4(839,887) = 7096 Sum = 4192.183486295686844 Averaged sum = 0.4188413913773290882 logp*logq = 45.69720266374425476 -------------- ************************************* p = 839; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.151460782799837507 E19 -------------- Searches starting with [839,907]-exponents: u = 1, v = 86 n_start has 258 digits starting right neighbors generation We generated 834 left neighbors We generated 9176 right neighbors We generated 10009 non-negative rho_i D1(839,907) = 0.5686522195600931906 D2(839,907) = 0.01288565557285223234 C1(839,907) = 0.7786057308825498180 C2(839,907) = 1.429524915154894334 C3(839,907) = 4.413756106579058205 C4(839,907) = 7256 Sum = 3790.125039366120797 Averaged sum = 0.3786716994071456487 logp*logq = 45.84731391523193419 -------------- ************************************* p = 839; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.396558216274530214 E19 -------------- Searches starting with [839,911]-exponents: u = 1, v = 81 n_start has 243 digits starting right neighbors generation We generated 710 left neighbors We generated 9300 right neighbors We generated 10009 non-negative rho_i D1(839,911) = 0.6247904920833299373 D2(839,911) = 0.01768632411379901230 C1(839,911) = 0.8944121708841564998 C2(839,911) = 1.446869531811657613 C3(839,911) = 5.504455010377490138 C4(839,911) = 7288 Sum = 4459.191340013647550 Averaged sum = 0.4455181676504793236 logp*logq = 45.87693865261354601 -------------- ************************************* p = 839; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.905625175950924252 E19 -------------- Searches starting with [839,919]-exponents: u = 1, v = 73 n_start has 220 digits starting right neighbors generation We generated 571 left neighbors We generated 9439 right neighbors We generated 10009 non-negative rho_i D1(839,919) = 0.7882924340370597450 D2(839,919) = 0.02125941726557051112 C1(839,919) = 1.136457297759093207 C2(839,919) = 1.474757951033234191 C3(839,919) = 8.733048298747839368 C4(839,919) = 7352 Sum = 4858.679834238038384 Averaged sum = 0.4854310954379097196 logp*logq = 45.93579988621206372 -------------- ************************************* p = 839; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.578713125851704218 E19 -------------- Searches starting with [839,929]-exponents: u = 1, v = 66 n_start has 199 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(839,929) = 0.8127028031109104280 D2(839,929) = 0.02587825922332510340 C1(839,929) = 1.181279460778348614 C2(839,929) = 1.507452282862710234 C3(839,929) = 9.512303128812966911 C4(839,929) = 7432 Sum = 3372.942227506348835 Averaged sum = 0.3369909309128133514 logp*logq = 46.00866002060361923 -------------- ************************************* p = 839; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.014792130282662064 E20 -------------- Searches starting with [839,937]-exponents: u = 1, v = 60 n_start has 182 digits starting right neighbors generation We generated 412 left neighbors We generated 9598 right neighbors We generated 10009 non-negative rho_i D1(839,937) = 0.8311004190920771656 D2(839,937) = 0.01269239808935101717 C1(839,937) = 1.215102540795894477 C2(839,937) = 1.517136385368518469 C3(839,937) = 10.14603896054729854 C4(839,937) = 7496 Sum = 4965.350940564225888 Averaged sum = 0.4960886143035493943 logp*logq = 46.06638565364966940 -------------- ************************************* p = 839; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.044315922046131008 E20 -------------- Searches starting with [839,941]-exponents: u = 1, v = 58 n_start has 176 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(839,941) = 0.5462533561612020523 D2(839,941) = 0.01447731119448289406 C1(839,941) = 0.8006658663764864844 C2(839,941) = 1.528939816270841719 C3(839,941) = 4.603388225104469862 C4(839,941) = 7528 Sum = 4147.899487698988712 Averaged sum = 0.4144169734937544921 logp*logq = 46.09506391088887931 -------------- ************************************* p = 839; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.089971631644770344 E20 -------------- Searches starting with [839,947]-exponents: u = 1, v = 55 n_start has 167 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(839,947) = 0.5628714617121701404 D2(839,947) = 0.005302794611405386869 C1(839,947) = 0.7899204559263417565 C2(839,947) = 1.535732536653665788 C3(839,947) = 4.510022495562928512 C4(839,947) = 7576 Sum = 4187.999518609406723 Averaged sum = 0.4184233708271961957 logp*logq = 46.13785352976931128 -------------- ************************************* p = 839; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.137315927467656185 E20 -------------- Searches starting with [839,953]-exponents: u = 1, v = 52 n_start has 158 digits starting right neighbors generation We generated 308 left neighbors We generated 9702 right neighbors We generated 10009 non-negative rho_i D1(839,953) = 0.6600140286833298436 D2(839,953) = 0.02742670794475710096 C1(839,953) = 0.9755287302226293724 C2(839,953) = 1.569480215648657738 C3(839,953) = 6.425273662447003306 C4(839,953) = 7624 Sum = 4349.034479961591079 Averaged sum = 0.4345123868479959115 logp*logq = 46.18037289662283244 -------------- ************************************* p = 839; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.254642723508322880 E20 -------------- Searches starting with [839,967]-exponents: u = 1, v = 47 n_start has 144 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(839,967) = 0.5708729551045299640 D2(839,967) = 0.02417817012161514878 C1(839,967) = 0.8088332730609086394 C2(839,967) = 1.598036337827363631 C3(839,967) = 4.675644714328019467 C4(839,967) = 7736 Sum = 3982.532071522391920 Averaged sum = 0.3978951015608344410 logp*logq = 46.27855270947142838 -------------- ************************************* p = 839; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.289998728258163646 E20 -------------- Searches starting with [839,971]-exponents: u = 1, v = 46 n_start has 141 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(839,971) = 0.7842361984771583592 D2(839,971) = 0.03639375674234378082 C1(839,971) = 1.172656676972017720 C2(839,971) = 1.617349788377914556 C3(839,971) = 9.357172950409661162 C4(839,971) = 7768 Sum = 2815.631951641372121 Averaged sum = 0.2813100161496025697 logp*logq = 46.30634309240762371 -------------- ************************************* p = 839; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.344621939317026255 E20 -------------- Searches starting with [839,977]-exponents: u = 1, v = 44 n_start has 135 digits starting right neighbors generation We generated 260 left neighbors We generated 9750 right neighbors We generated 10009 non-negative rho_i D1(839,977) = 0.5992489263429810169 D2(839,977) = 0.01900959069504791049 C1(839,977) = 0.8994440979131308598 C2(839,977) = 1.614539819818570013 C3(839,977) = 5.557526670704419794 C4(839,977) = 7816 Sum = 3359.723349355333225 Averaged sum = 0.3356702317269790414 logp*logq = 46.34781474741299343 -------------- ************************************* p = 839; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.401202270664966102 E20 -------------- Searches starting with [839,983]-exponents: u = 1, v = 42 n_start has 129 digits starting right neighbors generation We generated 209 left neighbors We generated 9801 right neighbors We generated 10009 non-negative rho_i D1(839,983) = 1.175935492178957543 D2(839,983) = 0.05349828412392315545 C1(839,983) = 1.678049734429924596 C2(839,983) = 1.657091035263777167 C3(839,983) = 24.52956286629074507 C4(839,983) = 7864 Sum = 5022.830461906470779 Averaged sum = 0.5018313979325078208 logp*logq = 46.38903249273533011 -------------- ************************************* p = 839; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.479786749171055948 E20 -------------- Searches starting with [839,991]-exponents: u = 1, v = 40 n_start has 123 digits starting right neighbors generation We generated 199 left neighbors We generated 9811 right neighbors We generated 10009 non-negative rho_i D1(839,991) = 0.5988206443825044452 D2(839,991) = 0.04691415768989777831 C1(839,991) = 0.8572353121548013425 C2(839,991) = 1.666861147448268329 C3(839,991) = 5.127740333942763170 C4(839,991) = 7928 Sum = 3992.768039256223932 Averaged sum = 0.3989177779254894527 logp*logq = 46.44359984887727173 -------------- ************************************* p = 839; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.541159721840729593 E20 -------------- Searches starting with [839,997]-exponents: u = 1, v = 39 n_start has 120 digits starting right neighbors generation We generated 194 left neighbors We generated 9816 right neighbors We generated 10009 non-negative rho_i D1(839,997) = 1.029230816737835452 D2(839,997) = 0.06903730774150652801 C1(839,997) = 1.561275891282474142 C2(839,997) = 1.697868766548305169 C3(839,997) = 19.63281849081649475 C4(839,997) = 7976 Sum = 2598.406783155059808 Averaged sum = 0.2596070319867179347 logp*logq = 46.48423705902477343 -------------- ************************************* p = 853; q = 857; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.222749585638692339 E19 -------------- Searches starting with [853,857]-exponents: u = 1, v = 1442 n_start has 4233 digits --- performed 5000 steps in the continued fraction search [853,857]-exponents: u = 677, v = 763 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(853,857) = 0.6501650158328960491 D2(853,857) = 0.3963851940372198740 C1(853,857) = 0.8208161634870437193 C2(853,857) = 1.358534287444794631 C3(853,857) = 4.793364170827889198 C4(853,857) = 6856 Sum = 5838.954315949494269 Averaged sum = 0.5839538269776471916 logp*logq = 45.57732863152909961 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(853,857) = 0.6501650158328960491 D2(853,857) = 0.3963851940372198740 C1(853,857) = 0.8208161634870437193 C2(853,857) = 1.358534287444794631 C3(853,857) = 4.793364170827889198 C4(853,857) = 6856 Sum = 5838.954315949494269 Averaged sum = 0.5839538269776471916 logp*logq = 45.57732863152909961 -------------- ************************************* p = 853; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.321416077790469336 E19 -------------- Searches starting with [853,859]-exponents: u = 1, v = 962 n_start has 2826 digits --- performed 5000 steps in the continued fraction search [853,859]-exponents: u = 200, v = 758 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(853,859) = 0.5874198115627385104 D2(853,859) = 0.3012046725081533202 C1(853,859) = 0.7506784086782148563 C2(853,859) = 1.308638957349132559 C3(853,859) = 4.192571896747902592 C4(853,859) = 6872 Sum = 5646.744633183571908 Averaged sum = 0.5647309364119983907 logp*logq = 45.59306001288881213 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(853,859) = 0.5874198115627385104 D2(853,859) = 0.3012046725081533202 C1(853,859) = 0.7506784086782148563 C2(853,859) = 1.308638957349132559 C3(853,859) = 4.192571896747902592 C4(853,859) = 6872 Sum = 5646.744633183571908 Averaged sum = 0.5647309364119983907 logp*logq = 45.59306001288881213 -------------- ************************************* p = 853; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.522752337816504615 E19 -------------- Searches starting with [853,863]-exponents: u = 1, v = 579 n_start has 1703 digits --- performed 5000 steps in the continued fraction search [853,863]-exponents: u = 396, v = 176 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(853,863) = 0.9366391034056727980 D2(853,863) = 0.1919124553160341039 C1(853,863) = 1.217697121519802740 C2(853,863) = 1.264142694258020890 C3(853,863) = 10.22689090023184011 C4(853,863) = 6904 Sum = 5379.484043549508165 Averaged sum = 0.5380022045754083573 logp*logq = 45.62441319145229485 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(853,863) = 0.9366391034056727980 D2(853,863) = 0.1919124553160341039 C1(853,863) = 1.217697121519802740 C2(853,863) = 1.264142694258020890 C3(853,863) = 10.22689090023184011 C4(853,863) = 6904 Sum = 5379.484043549508165 Averaged sum = 0.5380022045754083573 logp*logq = 45.62441319145229485 -------------- ************************************* p = 853; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.271041174779682784 E19 -------------- Searches starting with [853,877]-exponents: u = 1, v = 243 n_start has 719 digits --- performed 5000 steps in the continued fraction search [853,877]-exponents: u = 107, v = 116 --- starting right neighbors generation We generated 6044 left neighbors We generated 3966 right neighbors We generated 10009 non-negative rho_i D1(853,877) = 0.6874239864402551074 D2(853,877) = 0.005834960194165389724 C1(853,877) = 0.9261905324264377988 C2(853,877) = 1.218557712729123826 C3(853,877) = 5.861643159491540048 C4(853,877) = 7016 Sum = 4831.418924285692502 Averaged sum = 0.4827074557184226698 logp*logq = 45.73301626341589345 -------------- ************************************* p = 853; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.497807378310356434 E19 -------------- Searches starting with [853,881]-exponents: u = 1, v = 208 n_start has 616 digits starting right neighbors generation We generated 4388 left neighbors We generated 5622 right neighbors We generated 10009 non-negative rho_i D1(853,881) = 0.8924388035276427451 D2(853,881) = 0.004632788231038547360 C1(853,881) = 1.211113114702957617 C2(853,881) = 1.243763782912977155 C3(853,881) = 10.09913102623523305 C4(853,881) = 7048 Sum = 4848.861328513443835 Averaged sum = 0.4844501277363816400 logp*logq = 45.76372739512805070 -------------- ************************************* p = 853; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.613431152430949631 E19 -------------- Searches starting with [853,883]-exponents: u = 1, v = 195 n_start has 578 digits starting right neighbors generation We generated 3926 left neighbors We generated 6084 right neighbors We generated 10009 non-negative rho_i D1(853,883) = 0.6634474533472469201 D2(853,883) = 0.008001247407475841647 C1(853,883) = 0.9034499532475979434 C2(853,883) = 1.258929619069086033 C3(853,883) = 5.612577401219934652 C4(853,883) = 7064 Sum = 4643.627241987420907 Averaged sum = 0.4639451735425537922 logp*logq = 45.77903071131688466 -------------- ************************************* p = 853; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.849241197382845367 E19 -------------- Searches starting with [853,887]-exponents: u = 1, v = 172 n_start has 510 digits starting right neighbors generation We generated 3134 left neighbors We generated 6876 right neighbors We generated 10009 non-negative rho_i D1(853,887) = 0.6132492113309107155 D2(853,887) = 0.0007569089044150985883 C1(853,887) = 0.8402118352210687877 C2(853,887) = 1.275056228532154666 C3(853,887) = 4.974206159355168024 C4(853,887) = 7096 Sum = 4668.782055148336023 Averaged sum = 0.4664583929611685505 logp*logq = 45.80953363125526233 -------------- ************************************* p = 853; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.123897891003222770 E19 -------------- Searches starting with [853,907]-exponents: u = 1, v = 109 n_start has 326 digits starting right neighbors generation We generated 1265 left neighbors We generated 8745 right neighbors We generated 10009 non-negative rho_i D1(853,907) = 0.8602971124175177655 D2(853,907) = 0.006609830366937637189 C1(853,907) = 1.209082600737687096 C2(853,907) = 1.371396674133486295 C3(853,907) = 10.06005270375087971 C4(853,907) = 7256 Sum = 4886.040560872321896 Averaged sum = 0.4881647078501670392 logp*logq = 45.96001387999290423 -------------- ************************************* p = 853; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.398918907185046494 E19 -------------- Searches starting with [853,911]-exponents: u = 1, v = 102 n_start has 305 digits starting right neighbors generation We generated 1088 left neighbors We generated 8922 right neighbors We generated 10009 non-negative rho_i D1(853,911) = 0.5494853394405780888 D2(853,911) = 0.01993451008981128140 C1(853,911) = 0.7753846329428559035 C2(853,911) = 1.398492358796900875 C3(853,911) = 4.395087360272343157 C4(853,911) = 7288 Sum = 4422.916115992251971 Averaged sum = 0.4418939070828506315 logp*logq = 45.98971143967475230 -------------- ************************************* p = 853; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.970199528164947845 E19 -------------- Searches starting with [853,919]-exponents: u = 1, v = 90 n_start has 270 digits starting right neighbors generation We generated 874 left neighbors We generated 9136 right neighbors We generated 10009 non-negative rho_i D1(853,919) = 0.5270945974546060746 D2(853,919) = 0.01808167008545353826 C1(853,919) = 0.7496641951522776504 C2(853,919) = 1.425169171396922818 C3(853,919) = 4.184460848063019581 C4(853,919) = 7352 Sum = 4358.104597211109257 Averaged sum = 0.4354185829964141529 logp*logq = 46.04871736351542041 -------------- ************************************* p = 853; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.072566891728672360 E20 -------------- Searches starting with [853,929]-exponents: u = 1, v = 79 n_start has 238 digits starting right neighbors generation We generated 764 left neighbors We generated 9246 right neighbors We generated 10009 non-negative rho_i D1(853,929) = 0.8081560481699623592 D2(853,929) = 0.001354650814254883782 C1(853,929) = 1.160290790969691270 C2(853,929) = 1.442602543405987279 C3(853,929) = 9.165178306777324740 C4(853,929) = 7432 Sum = 3626.322234004181482 Averaged sum = 0.3623061478673375444 logp*logq = 46.12175659966621071 -------------- ************************************* p = 853; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.136464663669525187 E20 -------------- Searches starting with [853,937]-exponents: u = 1, v = 71 n_start has 214 digits starting right neighbors generation We generated 555 left neighbors We generated 9455 right neighbors We generated 10009 non-negative rho_i D1(853,937) = 0.6903236118444249741 D2(853,937) = 0.01663479538421115932 C1(853,937) = 0.9975343952305984573 C2(853,937) = 1.479861768686443189 C3(853,937) = 6.717062918501281567 C4(853,937) = 7496 Sum = 4584.035211741360118 Averaged sum = 0.4579913289780557616 logp*logq = 46.17962413146825176 -------------- ************************************* p = 853; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.169610777346623330 E20 -------------- Searches starting with [853,941]-exponents: u = 1, v = 68 n_start has 206 digits starting right neighbors generation We generated 531 left neighbors We generated 9479 right neighbors We generated 10009 non-negative rho_i D1(853,941) = 0.5911490482731548278 D2(853,941) = 0.01067326550562464477 C1(853,941) = 0.8568232515406201824 C2(853,941) = 1.485880353641929849 C3(853,941) = 5.134502448229080445 C4(853,941) = 7528 Sum = 4331.722052795322329 Averaged sum = 0.4327827008487683414 logp*logq = 46.20837288440948340 -------------- ************************************* p = 853; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.220872573255982190 E20 -------------- Searches starting with [853,947]-exponents: u = 1, v = 64 n_start has 194 digits starting right neighbors generation We generated 499 left neighbors We generated 9511 right neighbors We generated 10009 non-negative rho_i D1(853,947) = 0.6520359696377910563 D2(853,947) = 0.002576705032438302455 C1(853,947) = 0.9074049162691858432 C2(853,947) = 1.495054931916342466 C3(853,947) = 5.655120890433308243 C4(853,947) = 7576 Sum = 4225.375077958765316 Averaged sum = 0.4221575659864886918 logp*logq = 46.25126768695561225 -------------- ************************************* p = 853; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.274035871403948723 E20 -------------- Searches starting with [853,953]-exponents: u = 1, v = 60 n_start has 182 digits starting right neighbors generation We generated 412 left neighbors We generated 9598 right neighbors We generated 10009 non-negative rho_i D1(853,953) = 0.7130801374626882291 D2(853,953) = 0.01426862820221184303 C1(853,953) = 1.042976295314738230 C2(853,953) = 1.520939758399263003 C3(853,953) = 7.325899026382418311 C4(853,953) = 7624 Sum = 4590.968110804655010 Averaged sum = 0.4586839954845294245 logp*logq = 46.29389157315251110 -------------- ************************************* p = 853; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.405806089802110492 E20 -------------- Searches starting with [853,967]-exponents: u = 1, v = 53 n_start has 162 digits starting right neighbors generation We generated 314 left neighbors We generated 9696 right neighbors We generated 10009 non-negative rho_i D1(853,967) = 0.6217390759252521136 D2(853,967) = 0.03280089199326836540 C1(853,967) = 0.9179767156728949017 C2(853,967) = 1.571333984927284906 C3(853,967) = 5.770431403175945273 C4(853,967) = 7736 Sum = 4251.882810262187581 Averaged sum = 0.4248059556661192508 logp*logq = 46.39231272754335603 -------------- ************************************* p = 853; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.445520643753006194 E20 -------------- Searches starting with [853,971]-exponents: u = 1, v = 52 n_start has 159 digits starting right neighbors generation We generated 356 left neighbors We generated 9654 right neighbors We generated 10009 non-negative rho_i D1(853,971) = 0.7618024985301723417 D2(853,971) = 0.01198662558494495934 C1(853,971) = 1.128164928946550886 C2(853,971) = 1.562169612448322113 C3(853,971) = 8.619883259349189022 C4(853,971) = 7768 Sum = 3001.290985202952491 Averaged sum = 0.2998592252175994096 logp*logq = 46.42017142364580127 -------------- ************************************* p = 853; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.506882824798070866 E20 -------------- Searches starting with [853,977]-exponents: u = 1, v = 49 n_start has 150 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(853,977) = 0.5584499990412175742 D2(853,977) = 0.01866824955555221748 C1(853,977) = 0.8296424356908889082 C2(853,977) = 1.581435475355938388 C3(853,977) = 4.874828950662708207 C4(853,977) = 7816 Sum = 4040.980642531717447 Averaged sum = 0.4037347030204533367 logp*logq = 46.46174502255275540 -------------- ************************************* p = 853; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.570450039654407389 E20 -------------- Searches starting with [853,983]-exponents: u = 1, v = 47 n_start has 144 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(853,983) = 0.5882872796497228450 D2(853,983) = 0.01578820953472039667 C1(853,983) = 0.8338240209618258163 C2(853,983) = 1.591870426647427326 C3(853,983) = 4.913906089348615287 C4(853,983) = 7864 Sum = 4163.815643354837889 Averaged sum = 0.4160071578933797471 logp*logq = 46.50306408762642893 -------------- ************************************* p = 853; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.658749025375060547 E20 -------------- Searches starting with [853,991]-exponents: u = 1, v = 45 n_start has 138 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(853,991) = 1.245949672663781158 D2(853,991) = 0.03446110972225661172 C1(853,991) = 1.867310148582056077 C2(853,991) = 1.624948928037087790 C3(853,991) = 35.35235147785737527 C4(853,991) = 7928 Sum = 2856.627961501277746 Averaged sum = 0.2854059308123966177 logp*logq = 46.55776557897911957 -------------- ************************************* p = 853; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.727716893102932131 E20 -------------- Searches starting with [853,997]-exponents: u = 1, v = 43 n_start has 132 digits starting right neighbors generation We generated 254 left neighbors We generated 9756 right neighbors We generated 10009 non-negative rho_i D1(853,997) = 0.6713369704557268220 D2(853,997) = 0.01016837646373552433 C1(853,997) = 0.9189775791890114004 C2(853,997) = 1.615700798832657223 C3(853,997) = 5.781469284123455898 C4(853,997) = 7976 Sum = 3716.202199531658106 Averaged sum = 0.3712860624969185839 logp*logq = 46.59850268183047903 -------------- ************************************* p = 857; q = 859; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.524401599576317295 E19 -------------- Searches starting with [857,859]-exponents: u = 1, v = 2897 n_start has 8503 digits --- performed 5000 steps in the continued fraction search [857,859]-exponents: u = 2103, v = 794 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(857,859) = 0.7649690805631676041 D2(857,859) = 0.5323027425828808597 C1(857,859) = 0.9482570295040260814 C2(857,859) = 1.426451897508565001 C3(857,859) = 6.117906408724866194 C4(857,859) = 6872 Sum = 6132.355365947704050 Averaged sum = 0.6132968662813985448 logp*logq = 45.62466600701291615 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(857,859) = 0.7649690805631676041 D2(857,859) = 0.5323027425828808597 C1(857,859) = 0.9482570295040260814 C2(857,859) = 1.426451897508565001 C3(857,859) = 6.117906408724866194 C4(857,859) = 6872 Sum = 6132.355365947704050 Averaged sum = 0.6132968662813985448 logp*logq = 45.62466600701291615 -------------- ************************************* p = 857; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.732349244974949973 E19 -------------- Searches starting with [857,863]-exponents: u = 1, v = 967 n_start has 2843 digits --- performed 5000 steps in the continued fraction search [857,863]-exponents: u = 175, v = 788 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(857,863) = 0.5660532948319410650 D2(857,863) = 0.2995297716661461408 C1(857,863) = 0.7233121638176644162 C2(857,863) = 1.306813809612685569 C3(857,863) = 3.981121747129515396 C4(857,863) = 6904 Sum = 5648.203043377197391 Averaged sum = 0.5648767920169214312 logp*logq = 45.65604092020831806 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(857,863) = 0.5660532948319410650 D2(857,863) = 0.2995297716661461408 C1(857,863) = 0.7233121638176644162 C2(857,863) = 1.306813809612685569 C3(857,863) = 3.981121747129515396 C4(857,863) = 6904 Sum = 5648.203043377197391 Averaged sum = 0.5648767920169214312 logp*logq = 45.65604092020831806 -------------- ************************************* p = 857; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.505248014005217742 E19 -------------- Searches starting with [857,877]-exponents: u = 1, v = 292 n_start has 863 digits --- performed 5000 steps in the continued fraction search [857,877]-exponents: u = 172, v = 104 --- starting right neighbors generation We generated 8648 left neighbors We generated 1362 right neighbors We generated 10009 non-negative rho_i D1(857,877) = 0.6777884096648130407 D2(857,877) = 0.001843392963716218675 C1(857,877) = 0.9055693073987849366 C2(857,877) = 1.184905516454947699 C3(857,877) = 5.638872825454137102 C4(857,877) = 7016 Sum = 4975.895594247106632 Averaged sum = 0.4971421315063549438 logp*logq = 45.76471927792929664 -------------- ************************************* p = 857; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.739483331266183850 E19 -------------- Searches starting with [857,881]-exponents: u = 1, v = 244 n_start has 722 digits --- performed 5000 steps in the continued fraction search [857,881]-exponents: u = 86, v = 138 --- starting right neighbors generation We generated 6070 left neighbors We generated 3940 right neighbors We generated 10009 non-negative rho_i D1(857,881) = 0.5807543583731306671 D2(857,881) = 0.004426991555929826263 C1(857,881) = 0.7822446483255627005 C2(857,881) = 1.216905015735646104 C3(857,881) = 4.455448448114533195 C4(857,881) = 7048 Sum = 4858.278102303068038 Averaged sum = 0.4853909583677758056 logp*logq = 45.79545169919403414 -------------- ************************************* p = 857; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.858917364367946419 E19 -------------- Searches starting with [857,883]-exponents: u = 1, v = 225 n_start has 666 digits --- performed 5000 steps in the continued fraction search [857,883]-exponents: u = 78, v = 125 --- starting right neighbors generation We generated 5171 left neighbors We generated 4839 right neighbors We generated 10009 non-negative rho_i D1(857,883) = 0.9302029741698801417 D2(857,883) = 0.001895762742343753928 C1(857,883) = 1.257714889150740024 C2(857,883) = 1.228122550770188487 C3(857,883) = 11.04856392227937536 C4(857,883) = 7064 Sum = 4871.734635554814427 Averaged sum = 0.4867354016939568815 logp*logq = 45.81076562393867477 -------------- ************************************* p = 857; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.102502156665046575 E19 -------------- Searches starting with [857,887]-exponents: u = 1, v = 196 n_start has 581 digits starting right neighbors generation We generated 3947 left neighbors We generated 6063 right neighbors We generated 10009 non-negative rho_i D1(857,887) = 0.6444392250135749812 D2(857,887) = 0.008522003973120676562 C1(857,887) = 0.8774254940949538988 C2(857,887) = 1.258970790257487487 C3(857,887) = 5.343752136665953538 C4(857,887) = 7096 Sum = 4646.066255605915442 Averaged sum = 0.4641888555905600401 logp*logq = 45.84128968909318989 -------------- ************************************* p = 857; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.419269019264019719 E19 -------------- Searches starting with [857,907]-exponents: u = 1, v = 119 n_start has 355 digits starting right neighbors generation We generated 1602 left neighbors We generated 8408 right neighbors We generated 10009 non-negative rho_i D1(857,907) = 0.7737809113813867875 D2(857,907) = 0.002160284123644997726 C1(857,907) = 1.082494483046485247 C2(857,907) = 1.350856654879353762 C3(857,907) = 7.905987816217538627 C4(857,907) = 7256 Sum = 4143.325193156954913 Averaged sum = 0.4139599553558752036 logp*logq = 45.99187425365995252 -------------- ************************************* p = 857; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.703393147681104793 E19 -------------- Searches starting with [857,911]-exponents: u = 1, v = 110 n_start has 329 digits starting right neighbors generation We generated 1277 left neighbors We generated 8733 right neighbors We generated 10009 non-negative rho_i D1(857,911) = 0.5308007950408700531 D2(857,911) = 0.01579786322399241425 C1(857,911) = 0.7456693341091211512 C2(857,911) = 1.379021655524254087 C3(857,911) = 4.154811152620947567 C4(857,911) = 7288 Sum = 4445.379180080603318 Averaged sum = 0.4441381936337899209 logp*logq = 46.02159240026657685 -------------- ************************************* p = 857; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.029360121859139316 E20 -------------- Searches starting with [857,919]-exponents: u = 1, v = 96 n_start has 288 digits starting right neighbors generation We generated 1022 left neighbors We generated 8988 right neighbors We generated 10009 non-negative rho_i D1(857,919) = 0.5870917185679263421 D2(857,919) = 0.005211651050064181553 C1(857,919) = 0.8316682697141115475 C2(857,919) = 1.399258020219698171 C3(857,919) = 4.896542723678500954 C4(857,919) = 7352 Sum = 4431.433305499940851 Averaged sum = 0.4427448601758358328 logp*logq = 46.08063922815890695 -------------- ************************************* p = 857; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.107413633549087763 E20 -------------- Searches starting with [857,929]-exponents: u = 1, v = 83 n_start has 250 digits starting right neighbors generation We generated 728 left neighbors We generated 9282 right neighbors We generated 10009 non-negative rho_i D1(857,929) = 0.5926078542861778336 D2(857,929) = 0.02347212969641484225 C1(857,929) = 0.8473907692817691241 C2(857,929) = 1.449033591262918771 C3(857,929) = 5.045819993441179561 C4(857,929) = 7432 Sum = 4402.872858880952304 Averaged sum = 0.4398913836428166953 logp*logq = 46.15372909652582747 -------------- ************************************* p = 857; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.173434458375020407 E20 -------------- Searches starting with [857,937]-exponents: u = 1, v = 75 n_start has 226 digits starting right neighbors generation We generated 656 left neighbors We generated 9354 right neighbors We generated 10009 non-negative rho_i D1(857,937) = 0.5626309232911999888 D2(857,937) = 0.002744569792363918259 C1(857,937) = 0.8100301608647984009 C2(857,937) = 1.455223570597332251 C3(857,937) = 4.698294088678294433 C4(857,937) = 7496 Sum = 4320.104854214396252 Averaged sum = 0.4316220255984010643 logp*logq = 46.21163674322407409 -------------- ************************************* p = 857; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.207682900512603969 E20 -------------- Searches starting with [857,941]-exponents: u = 1, v = 72 n_start has 218 digits starting right neighbors generation We generated 629 left neighbors We generated 9381 right neighbors We generated 10009 non-negative rho_i D1(857,941) = 0.6208780868726148654 D2(857,941) = 0.005806758751926851825 C1(857,941) = 0.8972869583279928085 C2(857,941) = 1.469582947616102340 C3(857,941) = 5.550369360581544278 C4(857,941) = 7528 Sum = 3474.401814602951441 Averaged sum = 0.3471277664704717195 logp*logq = 46.24040542535883386 -------------- ************************************* p = 857; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.260650810057651515 E20 -------------- Searches starting with [857,947]-exponents: u = 1, v = 67 n_start has 203 digits starting right neighbors generation We generated 523 left neighbors We generated 9487 right neighbors We generated 10009 non-negative rho_i D1(857,947) = 0.5346486115793944652 D2(857,947) = 0.01051914267708405713 C1(857,947) = 0.7422128786031228954 C2(857,947) = 1.490526877667794367 C3(857,947) = 4.127471401173739286 C4(857,947) = 7576 Sum = 4251.275628823509566 Averaged sum = 0.4247452921194434575 logp*logq = 46.28332996341463993 -------------- ************************************* p = 857; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.315585136570756434 E20 -------------- Searches starting with [857,953]-exponents: u = 1, v = 63 n_start has 191 digits **************************************************** Computing .... elapsed time = 53 minutes **************************************************** starting right neighbors generation We generated 433 left neighbors We generated 9577 right neighbors We generated 10009 non-negative rho_i D1(857,953) = 0.5594713350003567158 D2(857,953) = 0.03451346274469187424 C1(857,953) = 0.7793614742034674324 C2(857,953) = 1.527817105506686001 C3(857,953) = 4.430979678462631451 C4(857,953) = 7624 Sum = 4224.541560913751885 Averaged sum = 0.4220742892310672280 logp*logq = 46.32598339731674446 -------------- ************************************* p = 857; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.451751733406721207 E20 -------------- Searches starting with [857,967]-exponents: u = 1, v = 55 n_start has 168 digits starting right neighbors generation We generated 326 left neighbors We generated 9684 right neighbors We generated 10009 non-negative rho_i D1(857,967) = 0.7876466422972979581 D2(857,967) = 0.03545806672771846860 C1(857,967) = 1.159753179092906250 C2(857,967) = 1.563487110924486558 C3(857,967) = 9.163136449653562066 C4(857,967) = 7736 Sum = 4786.182438167353930 Averaged sum = 0.4781878747294788620 logp*logq = 46.42447277916208543 -------------- ************************************* p = 857; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.492793097997723155 E20 -------------- Searches starting with [857,971]-exponents: u = 1, v = 54 n_start has 165 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(857,971) = 0.7868964473683259764 D2(857,971) = 0.02100085007426050445 C1(857,971) = 1.161964447340478008 C2(857,971) = 1.560084501350169277 C3(857,971) = 9.201920055026827749 C4(857,971) = 7768 Sum = 3061.425205253553483 Averaged sum = 0.3058672400093469360 logp*logq = 46.45235078745338288 -------------- ************************************* p = 857; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.556206837809052272 E20 -------------- Searches starting with [857,977]-exponents: u = 1, v = 51 n_start has 156 digits starting right neighbors generation We generated 302 left neighbors We generated 9708 right neighbors We generated 10009 non-negative rho_i D1(857,977) = 0.7194082839241145628 D2(857,977) = 0.03614347734468514736 C1(857,977) = 1.014664495271271864 C2(857,977) = 1.587152234430451906 C3(857,977) = 6.945275474464272701 C4(857,977) = 7816 Sum = 4265.839162814451328 Averaged sum = 0.4262003359790639752 logp*logq = 46.49395320598600810 -------------- ************************************* p = 857; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.621901221039990164 E20 -------------- Searches starting with [857,983]-exponents: u = 1, v = 49 n_start has 150 digits starting right neighbors generation We generated 290 left neighbors We generated 9720 right neighbors We generated 10009 non-negative rho_i D1(857,983) = 0.6527915220392552035 D2(857,983) = 0.04167515030282682682 C1(857,983) = 0.8879025661423194087 C2(857,983) = 1.605267448848480805 C3(857,983) = 5.451767144333053005 C4(857,983) = 7864 Sum = 3211.355353380079546 Averaged sum = 0.3208467732420900735 logp*logq = 46.53530091423755921 -------------- ************************************* p = 857; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.713158025547954963 E20 -------------- Searches starting with [857,991]-exponents: u = 1, v = 46 n_start has 141 digits starting right neighbors generation We generated 272 left neighbors We generated 9738 right neighbors We generated 10009 non-negative rho_i D1(857,991) = 0.8598340548809742144 D2(857,991) = 0.01489433919117174305 C1(857,991) = 1.220477861098371489 C2(857,991) = 1.598621383053170097 C3(857,991) = 10.29003353808076169 C4(857,991) = 7928 Sum = 4456.731256066029322 Averaged sum = 0.4452723804641851655 logp*logq = 46.59004032572576574 -------------- ************************************* p = 857; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.784438515216829542 E20 -------------- Searches starting with [857,997]-exponents: u = 1, v = 44 n_start has 135 digits starting right neighbors generation We generated 219 left neighbors We generated 9791 right neighbors We generated 10009 non-negative rho_i D1(857,997) = 0.6079233644974666534 D2(857,997) = 0.05511799700935539096 C1(857,997) = 0.8439334367324092963 C2(857,997) = 1.646428588794028394 C3(857,997) = 5.012608772077018227 C4(857,997) = 7976 Sum = 4114.495444284107025 Averaged sum = 0.4110795728128791113 logp*logq = 46.63080566832749486 -------------- ************************************* p = 859; q = 863; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 6.839281640909905951 E19 -------------- Searches starting with [859,863]-exponents: u = 1, v = 1454 n_start has 4272 digits --- performed 5000 steps in the continued fraction search [859,863]-exponents: u = 641, v = 811 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(859,863) = 0.7728575317697413332 D2(859,863) = 0.4043208168876719071 C1(859,863) = 0.9755917052769229929 C2(859,863) = 1.366250320465123835 C3(859,863) = 6.447982343911912219 C4(859,863) = 6904 Sum = 5840.835773459372057 Averaged sum = 0.5841419915450917148 logp*logq = 45.67179946974721281 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(859,863) = 0.7728575317697413332 D2(859,863) = 0.4043208168876719071 C1(859,863) = 0.9755917052769229929 C2(859,863) = 1.366250320465123835 C3(859,863) = 6.447982343911912219 C4(859,863) = 6904 Sum = 5840.835773459372057 Averaged sum = 0.5841419915450917148 logp*logq = 45.67179946974721281 -------------- ************************************* p = 859; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.624742655229751494 E19 -------------- Searches starting with [859,877]-exponents: u = 1, v = 325 n_start has 960 digits --- performed 5000 steps in the continued fraction search [859,877]-exponents: u = 230, v = 81 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(859,877) = 0.5370367970543291928 D2(859,877) = 0.009209564835576348325 C1(859,877) = 0.7143260399573154564 C2(859,877) = 1.174919727554536247 C3(859,877) = 3.914337825396950663 C4(859,877) = 7016 Sum = 5040.899673774093116 Averaged sum = 0.5041403814155508667 logp*logq = 45.78051533867699165 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(859,877) = 0.5370367970543291928 D2(859,877) = 0.009209564835576348325 C1(859,877) = 0.7143260399573154564 C2(859,877) = 1.174919727554536247 C3(859,877) = 3.914337825396950663 C4(859,877) = 7016 Sum = 5040.899673774093116 Averaged sum = 0.5041403814155508667 logp*logq = 45.78051533867699165 -------------- ************************************* p = 859; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.862790749386668795 E19 -------------- Searches starting with [859,881]-exponents: u = 1, v = 267 n_start has 790 digits --- performed 5000 steps in the continued fraction search [859,881]-exponents: u = 98, v = 151 --- starting right neighbors generation We generated 7394 left neighbors We generated 2616 right neighbors We generated 10009 non-negative rho_i D1(859,881) = 0.7467491859643914242 D2(859,881) = 0.001809273394890840077 C1(859,881) = 1.001907671543954408 C2(859,881) = 1.200020545012120997 C3(859,881) = 6.780434629793194067 C4(859,881) = 7048 Sum = 4904.495593475763677 Averaged sum = 0.4900085516510903863 logp*logq = 45.81125836748397744 -------------- ************************************* p = 859; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.984169837908020586 E19 -------------- Searches starting with [859,883]-exponents: u = 1, v = 245 n_start has 725 digits --- performed 5000 steps in the continued fraction search [859,883]-exponents: u = 65, v = 160 --- starting right neighbors generation We generated 6096 left neighbors We generated 3914 right neighbors We generated 10009 non-negative rho_i D1(859,883) = 0.7289568124038551799 D2(859,883) = 0.007575773081241558879 C1(859,883) = 0.9819111405843557875 C2(859,883) = 1.219556495448607411 C3(859,883) = 6.526298230394723002 C4(859,883) = 7064 Sum = 4835.792253282346496 Averaged sum = 0.4831443953723994900 logp*logq = 45.82657757795284775 -------------- ************************************* p = 859; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.231723519053860155 E19 -------------- Searches starting with [859,887]-exponents: u = 1, v = 210 n_start has 622 digits starting right neighbors generation We generated 4432 left neighbors We generated 5578 right neighbors We generated 10009 non-negative rho_i D1(859,887) = 0.6046048094859664578 D2(859,887) = 0.009034424787168432546 C1(859,887) = 0.8202337625255254721 C2(859,887) = 1.247109183985834582 C3(859,887) = 4.792115441882259038 C4(859,887) = 7096 Sum = 4769.868907227958298 Averaged sum = 0.4765579885331160254 logp*logq = 45.85711217873382481 -------------- ************************************* p = 859; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.569988003264347655 E19 -------------- Searches starting with [859,907]-exponents: u = 1, v = 124 n_start has 370 digits starting right neighbors generation We generated 1672 left neighbors We generated 8338 right neighbors We generated 10009 non-negative rho_i D1(859,907) = 0.6383931275839688885 D2(859,907) = 0.008315336368344147154 C1(859,907) = 0.8909840474661273393 C2(859,907) = 1.347731033555753090 C3(859,907) = 5.485636159398913362 C4(859,907) = 7256 Sum = 4180.745972749178387 Averaged sum = 0.4176986684732918760 logp*logq = 46.00774871877355202 -------------- ************************************* p = 859; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.858759565165416126 E19 -------------- Searches starting with [859,911]-exponents: u = 1, v = 114 n_start has 341 digits starting right neighbors generation We generated 1325 left neighbors We generated 8685 right neighbors We generated 10009 non-negative rho_i D1(859,911) = 0.8600117908922337541 D2(859,911) = 0.01559571771236307544 C1(859,911) = 1.205637665845108474 C2(859,911) = 1.370673396272789823 C3(859,911) = 10.00661458415029647 C4(859,911) = 7288 Sum = 4876.354921024827655 Averaged sum = 0.4871970147891725102 logp*logq = 46.03747712283737293 -------------- ************************************* p = 859; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.045863093515594994 E20 -------------- Searches starting with [859,919]-exponents: u = 1, v = 100 n_start has 300 digits starting right neighbors generation We generated 1157 left neighbors We generated 8853 right neighbors We generated 10009 non-negative rho_i D1(859,919) = 0.8439627700001173293 D2(859,919) = 0.004368942182362986585 C1(859,919) = 1.193315693295827838 C2(859,919) = 1.391054061431765965 C3(859,919) = 9.773811139095332067 C4(859,919) = 7352 Sum = 3937.741987647164891 Averaged sum = 0.3934201206561259757 logp*logq = 46.09654433121700989 -------------- ************************************* p = 859; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.125196365187995712 E20 -------------- Searches starting with [859,929]-exponents: u = 1, v = 86 n_start has 259 digits starting right neighbors generation We generated 834 left neighbors We generated 9176 right neighbors We generated 10009 non-negative rho_i D1(859,929) = 0.6239202305936017377 D2(859,929) = 0.01563662168981112257 C1(859,929) = 0.8908186079134849711 C2(859,929) = 1.435300359786062176 C3(859,929) = 5.483902669567736706 C4(859,929) = 7432 Sum = 3721.896723165008647 Averaged sum = 0.3718550028139682932 logp*logq = 46.16965942713954490 -------------- ************************************* p = 859; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.192301176105198115 E20 -------------- Searches starting with [859,937]-exponents: u = 1, v = 77 n_start has 232 digits starting right neighbors generation We generated 674 left neighbors We generated 9336 right neighbors We generated 10009 non-negative rho_i D1(859,937) = 0.5950435011565666021 D2(859,937) = 0.007005264270855593597 C1(859,937) = 0.8552066237907994903 C2(859,937) = 1.452662164543830101 C3(859,937) = 5.123224331765507165 C4(859,937) = 7496 Sum = 4383.665536978643744 Averaged sum = 0.4379723785571629278 logp*logq = 46.22758706112755171 -------------- ************************************* p = 859; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.227112456506176430 E20 -------------- Searches starting with [859,941]-exponents: u = 1, v = 74 n_start has 223 digits starting right neighbors generation We generated 647 left neighbors We generated 9363 right neighbors We generated 10009 non-negative rho_i D1(859,941) = 0.7578629991159702061 D2(859,941) = 0.01539124399804882757 C1(859,941) = 1.093202641404229800 C2(859,941) = 1.471929073427936131 C3(859,941) = 8.072399891577253017 C4(859,941) = 7528 Sum = 3525.660619801303898 Averaged sum = 0.3522490378460689278 logp*logq = 46.25636567300421313 -------------- ************************************* p = 859; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.280951507399648344 E20 -------------- Searches starting with [859,947]-exponents: u = 1, v = 69 n_start has 209 digits starting right neighbors generation We generated 539 left neighbors We generated 9471 right neighbors We generated 10009 non-negative rho_i D1(859,947) = 0.5892940635076918572 D2(859,947) = 0.02815592523860805103 C1(859,947) = 0.8542820416592031108 C2(859,947) = 1.500294940910805441 C3(859,947) = 5.114183071838534774 C4(859,947) = 7576 Sum = 3406.418593923212491 Averaged sum = 0.3403355573906696464 logp*logq = 46.29930502680938671 -------------- ************************************* p = 859; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.336790140744835764 E20 -------------- Searches starting with [859,953]-exponents: u = 1, v = 65 n_start has 197 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(859,953) = 0.8443291726250024457 D2(859,953) = 0.02215513290981117514 C1(859,953) = 1.229327182130319297 C2(859,953) = 1.511206505640030943 C3(859,953) = 10.46988152053180362 C4(859,953) = 7624 Sum = 3347.479354574156412 Averaged sum = 0.3344469332175198733 logp*logq = 46.34197318288708078 -------------- ************************************* p = 859; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.475201660239970817 E20 -------------- Searches starting with [859,967]-exponents: u = 1, v = 57 n_start has 174 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(859,967) = 0.8776966132935128356 D2(859,967) = 0.03428683003593685394 C1(859,967) = 1.290645239984695641 C2(859,967) = 1.557268875691155467 C3(859,967) = 11.77106651218956545 C4(859,967) = 7736 Sum = 3155.147190995565566 Averaged sum = 0.3152310111894860191 logp*logq = 46.44049655913429241 -------------- ************************************* p = 859; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.516920556027145203 E20 -------------- Searches starting with [859,971]-exponents: u = 1, v = 55 n_start has 168 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(859,971) = 0.7050956853626321475 D2(859,971) = 0.02312660123045318910 C1(859,971) = 1.039731265297347681 C2(859,971) = 1.556886359423950354 C3(859,971) = 7.288511029959662873 C4(859,971) = 7768 Sum = 3077.649726237926771 Averaged sum = 0.3074882332139001670 logp*logq = 46.46838418974425458 -------------- ************************************* p = 859; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.581381936008912677 E20 -------------- Searches starting with [859,977]-exponents: u = 1, v = 52 n_start has 159 digits starting right neighbors generation We generated 308 left neighbors We generated 9702 right neighbors We generated 10009 non-negative rho_i D1(859,977) = 0.8452687481528716351 D2(859,977) = 0.04255763385754074602 C1(859,977) = 1.190840727049656601 C2(859,977) = 1.587936844865514764 C3(859,977) = 9.727707999664786751 C4(859,977) = 7816 Sum = 4356.804739817602300 Averaged sum = 0.4352887141390350984 logp*logq = 46.51000096768606577 -------------- ************************************* p = 859; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.648162593212603078 E20 -------------- Searches starting with [859,983]-exponents: u = 1, v = 50 n_start has 153 digits starting right neighbors generation We generated 342 left neighbors We generated 9668 right neighbors We generated 10009 non-negative rho_i D1(859,983) = 0.7324614950086061636 D2(859,983) = 0.001813094254578872839 C1(859,983) = 1.088353753642059435 C2(859,983) = 1.565405392800232851 C3(859,983) = 7.997968106770278881 C4(859,983) = 7864 Sum = 2933.997049893843613 Averaged sum = 0.2931358826949588983 logp*logq = 46.55136294743150178 -------------- ************************************* p = 859; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.740929894824641461 E20 -------------- Searches starting with [859,991]-exponents: u = 1, v = 47 n_start has 144 digits starting right neighbors generation We generated 278 left neighbors We generated 9732 right neighbors We generated 10009 non-negative rho_i D1(859,991) = 0.5654894585075586592 D2(859,991) = 0.03088171371378271274 C1(859,991) = 0.8445608293296012714 C2(859,991) = 1.608062309688227647 C3(859,991) = 5.020082167109951518 C4(859,991) = 7928 Sum = 3641.486971694623419 Averaged sum = 0.3638212580372288360 logp*logq = 46.60612125266761726 -------------- ************************************* p = 859; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.813391421993286471 E20 -------------- Searches starting with [859,997]-exponents: u = 1, v = 45 n_start has 138 digits starting right neighbors generation We generated 266 left neighbors We generated 9744 right neighbors We generated 10009 non-negative rho_i D1(859,997) = 0.7525717262511526651 D2(859,997) = 0.01655227046255859806 C1(859,997) = 1.043932553214161745 C2(859,997) = 1.607862862247231601 C3(859,997) = 7.347244932499379623 C4(859,997) = 7976 Sum = 3988.592483116311155 Averaged sum = 0.3985005977736348441 logp*logq = 46.64690066575504578 -------------- ************************************* p = 863; q = 877; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 7.868603955506889607 E19 -------------- Searches starting with [863,877]-exponents: u = 1, v = 420 n_start has 1239 digits --- performed 5000 steps in the continued fraction search [863,877]-exponents: u = 26, v = 383 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(863,877) = 0.8055702980675150935 D2(863,877) = 0.1010255731463307512 C1(863,877) = 1.060345473909948992 C2(863,877) = 1.222401052780890303 C3(863,877) = 7.586797129177134809 C4(863,877) = 7016 Sum = 5192.170992918140883 Averaged sum = 0.5192690261944335316 logp*logq = 45.81199742546248122 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(863,877) = 0.8055702980675150935 D2(863,877) = 0.1010255731463307512 C1(863,877) = 1.060345473909948992 C2(863,877) = 1.222401052780890303 C3(863,877) = 7.586797129177134809 C4(863,877) = 7016 Sum = 5192.170992918140883 Averaged sum = 0.5192690261944335316 logp*logq = 45.81199742546248122 -------------- ************************************* p = 863; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.114437062572101820 E19 -------------- Searches starting with [863,881]-exponents: u = 1, v = 327 n_start has 966 digits --- performed 5000 steps in the continued fraction search [863,881]-exponents: u = 200, v = 113 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(863,881) = 0.5948435660320059241 D2(863,881) = 0.01731122551148462798 C1(863,881) = 0.7910794352122392511 C2(863,881) = 1.181961085975124089 C3(863,881) = 4.534974386954796954 C4(863,881) = 7048 Sum = 5042.757920877436739 Averaged sum = 0.5043262247102146954 logp*logq = 45.84276159546226028 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(863,881) = 0.5948435660320059241 D2(863,881) = 0.01731122551148462798 C1(863,881) = 0.7910794352122392511 C2(863,881) = 1.181961085975124089 C3(863,881) = 4.534974386954796954 C4(863,881) = 7048 Sum = 5042.757920877436739 Averaged sum = 0.5043262247102146954 logp*logq = 45.84276159546226028 -------------- ************************************* p = 863; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.239787655886012251 E19 -------------- Searches starting with [863,883]-exponents: u = 1, v = 295 n_start has 872 digits --- performed 5000 steps in the continued fraction search [863,883]-exponents: u = 121, v = 158 --- starting right neighbors generation We generated 9007 left neighbors We generated 1003 right neighbors We generated 10009 non-negative rho_i D1(863,883) = 0.8302506417074977960 D2(863,883) = 0.001074328590507239609 C1(863,883) = 1.109087009843711024 C2(863,883) = 1.183691551796798466 C3(863,883) = 8.327461747390242083 C4(863,883) = 7064 Sum = 4978.040273699298529 Averaged sum = 0.4973564066039862652 logp*logq = 45.85809134055945223 -------------- ************************************* p = 863; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 8.495445295715230041 E19 -------------- Searches starting with [863,887]-exponents: u = 1, v = 246 n_start has 729 digits --- performed 5000 steps in the continued fraction search [863,887]-exponents: u = 44, v = 182 --- starting right neighbors generation We generated 6122 left neighbors We generated 3888 right neighbors We generated 10009 non-negative rho_i D1(863,887) = 0.5890071887288100198 D2(863,887) = 0.006152244571872551554 C1(863,887) = 0.7933209564118932503 C2(863,887) = 1.217892566220159304 C3(863,887) = 4.554442687949107263 C4(863,887) = 7096 Sum = 4836.636778667385531 Averaged sum = 0.4832287719719637857 logp*logq = 45.88864693920261226 -------------- ************************************* p = 863; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.877607249874565586 E19 -------------- Searches starting with [863,907]-exponents: u = 1, v = 135 n_start has 403 digits starting right neighbors generation We generated 1826 left neighbors We generated 8184 right neighbors We generated 10009 non-negative rho_i D1(863,907) = 0.8734007811264068470 D2(863,907) = 0.01501280496657219128 C1(863,907) = 1.212658694331986655 C2(863,907) = 1.335784717562079933 C3(863,907) = 10.15019493536595686 C4(863,907) = 7256 Sum = 4849.089059037064152 Averaged sum = 0.4844728803114261317 logp*logq = 46.03938706812926033 -------------- ************************************* p = 863; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.017586915956119995 E20 -------------- Searches starting with [863,911]-exponents: u = 1, v = 124 n_start has 370 digits starting right neighbors generation We generated 1559 left neighbors We generated 8451 right neighbors We generated 10009 non-negative rho_i D1(863,911) = 0.7677373555332381861 D2(863,911) = 0.01519430551649889508 C1(863,911) = 1.071113127144495661 C2(863,911) = 1.353350570825745173 C3(863,911) = 7.744534811979469214 C4(863,911) = 7288 Sum = 4719.028105716147931 Averaged sum = 0.4714784799396690909 logp*logq = 46.06913591565444919 -------------- ************************************* p = 863; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.079547404244969942 E20 -------------- Searches starting with [863,919]-exponents: u = 1, v = 107 n_start has 321 digits starting right neighbors generation We generated 1241 left neighbors We generated 8769 right neighbors We generated 10009 non-negative rho_i D1(863,919) = 0.5303690069499346225 D2(863,919) = 0.009781528862320712008 C1(863,919) = 0.7464220203488500947 C2(863,919) = 1.380475317059949978 C3(863,919) = 4.163996683400626630 C4(863,919) = 7352 Sum = 4430.670489078032610 Averaged sum = 0.4426686471253904096 logp*logq = 46.12824374303906300 -------------- ************************************* p = 863; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.161494175358635218 E20 -------------- Searches starting with [863,929]-exponents: u = 1, v = 91 n_start has 274 digits starting right neighbors generation We generated 884 left neighbors We generated 9126 right neighbors We generated 10009 non-negative rho_i D1(863,929) = 0.6100246952194122637 D2(863,929) = 0.01596622333112256978 C1(863,929) = 0.8672299873570606984 C2(863,929) = 1.421718988011616396 C3(863,929) = 5.245389788170092127 C4(863,929) = 7432 Sum = 4449.317692915527371 Averaged sum = 0.4445316907698598632 logp*logq = 46.20140911833871148 -------------- ************************************* p = 863; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.230812755251348167 E20 -------------- Searches starting with [863,937]-exponents: u = 1, v = 82 n_start has 247 digits starting right neighbors generation We generated 794 left neighbors We generated 9216 right neighbors We generated 10009 non-negative rho_i D1(863,937) = 0.6688894807203454868 D2(863,937) = 0.006688370449010745382 C1(863,937) = 0.9581761223454438052 C2(863,937) = 1.439444712249521752 C3(863,937) = 6.241092703924529595 C4(863,937) = 7496 Sum = 3660.426395109017952 Averaged sum = 0.3657134973632748479 logp*logq = 46.25937658767559973 -------------- ************************************* p = 863; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.266773516939395022 E20 -------------- Searches starting with [863,941]-exponents: u = 1, v = 78 n_start has 235 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(863,941) = 0.7143720678971478860 D2(863,941) = 0.02566929256614755288 C1(863,941) = 1.026821556132011159 C2(863,941) = 1.468554672666253688 C3(863,941) = 7.115976632753985752 C4(863,941) = 7528 Sum = 3593.089744343443093 Averaged sum = 0.3589858871359219795 logp*logq = 46.28817498986589053 -------------- ************************************* p = 863; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.322391727829778197 E20 -------------- Searches starting with [863,947]-exponents: u = 1, v = 72 n_start has 218 digits starting right neighbors generation We generated 563 left neighbors We generated 9447 right neighbors We generated 10009 non-negative rho_i D1(863,947) = 0.6266344047364768073 D2(863,947) = 0.02133621907888463713 C1(863,947) = 0.9048716304334583343 C2(863,947) = 1.482274773679287063 C3(863,947) = 5.636627388116913277 C4(863,947) = 7576 Sum = 4430.252150140767919 Averaged sum = 0.4426268508483133099 logp*logq = 46.33114387196389802 -------------- ************************************* p = 863; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.380077297053084528 E20 -------------- Searches starting with [863,953]-exponents: u = 1, v = 68 n_start has 206 digits starting right neighbors generation We generated 531 left neighbors We generated 9479 right neighbors We generated 10009 non-negative rho_i D1(863,953) = 0.6843928502040856176 D2(863,953) = 0.02872010468115653675 C1(863,953) = 0.9932991531047408767 C2(863,953) = 1.505570088318002076 C3(863,953) = 6.674393576247653024 C4(863,953) = 7624 Sum = 3393.198142732796985 Averaged sum = 0.3390147010423415910 logp*logq = 46.37384136983870112 -------------- ************************************* p = 863; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.523073965212902302 E20 -------------- Searches starting with [863,967]-exponents: u = 1, v = 59 n_start has 180 digits starting right neighbors generation We generated 405 left neighbors We generated 9605 right neighbors We generated 10009 non-negative rho_i D1(863,967) = 0.5860424570001163743 D2(863,967) = 0.02713534172837276682 C1(863,967) = 0.8195756959516392142 C2(863,967) = 1.540402974318025766 C3(863,967) = 4.788792013119538065 C4(863,967) = 7736 Sum = 3928.095728181229401 Averaged sum = 0.3924563620922399241 logp*logq = 46.47243249808604792 -------------- ************************************* p = 863; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.566176731278920121 E20 -------------- Searches starting with [863,971]-exponents: u = 1, v = 57 n_start has 174 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(863,971) = 0.5380795020331322340 D2(863,971) = 0.02256746830596790341 C1(863,971) = 0.7913377616271873997 C2(863,971) = 1.546096095783395334 C3(863,971) = 4.537213781888229321 C4(863,971) = 7768 Sum = 3892.178088829451168 Averaged sum = 0.3888678278378910149 logp*logq = 46.50033930630466325 -------------- ************************************* p = 863; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.632777974727065408 E20 -------------- Searches starting with [863,977]-exponents: u = 1, v = 54 n_start has 165 digits starting right neighbors generation We generated 370 left neighbors We generated 9640 right neighbors We generated 10009 non-negative rho_i D1(863,977) = 0.8764835113043819597 D2(863,977) = 0.004237915740268368344 C1(863,977) = 1.232152494694422943 C2(863,977) = 1.544143132523443979 C3(863,977) = 10.53546521497056831 C4(863,977) = 7816 Sum = 4361.240581168562746 Averaged sum = 0.4357318994073896239 logp*logq = 46.54198470303779218 -------------- ************************************* p = 863; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.701777454774627096 E20 -------------- Searches starting with [863,983]-exponents: u = 1, v = 51 n_start has 156 digits starting right neighbors generation We generated 302 left neighbors We generated 9708 right neighbors We generated 10009 non-negative rho_i D1(863,983) = 0.7874397378474450045 D2(863,983) = 0.01843842872311425888 C1(863,983) = 1.166470726049515018 C2(863,983) = 1.570267859815412093 C3(863,983) = 9.292650443350534341 C4(863,983) = 7864 Sum = 4736.078128640786798 Averaged sum = 0.4731819491098797879 logp*logq = 46.58337512635635820 -------------- ************************************* p = 863; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.797630174237137970 E20 -------------- Searches starting with [863,991]-exponents: u = 1, v = 48 n_start has 147 digits starting right neighbors generation We generated 284 left neighbors We generated 9726 right neighbors We generated 10009 non-negative rho_i D1(863,991) = 0.7057767626602798581 D2(863,991) = 0.006329845013581806001 C1(863,991) = 1.050559715437420061 C2(863,991) = 1.577166557657046561 C3(863,991) = 7.446231816616686142 C4(863,991) = 7928 Sum = 4419.862372223823812 Averaged sum = 0.4415888072958161467 logp*logq = 46.63817108747522023 -------------- ************************************* p = 863; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.872504207941913214 E20 -------------- Searches starting with [863,997]-exponents: u = 1, v = 46 n_start has 141 digits starting right neighbors generation We generated 229 left neighbors We generated 9781 right neighbors We generated 10009 non-negative rho_i D1(863,997) = 0.6475151977757065207 D2(863,997) = 0.05285431221328422557 C1(863,997) = 0.9671720902014795031 C2(863,997) = 1.630852842969205002 C3(863,997) = 6.349317534136457322 C4(863,997) = 7976 Sum = 4205.157303155179403 Averaged sum = 0.4201376064696952146 logp*logq = 46.67897854351962253 -------------- ************************************* p = 877; q = 881; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.050026183828500496 E19 -------------- Searches starting with [877,881]-exponents: u = 1, v = 1489 n_start has 4389 digits --- performed 5000 steps in the continued fraction search [877,881]-exponents: u = 536, v = 951 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(877,881) = 0.8021519104653639577 D2(877,881) = 0.4063018518558304161 C1(877,881) = 1.012222455358154626 C2(877,881) = 1.367661876395165703 C3(877,881) = 6.936858299812744035 C4(877,881) = 7048 Sum = 5846.306230618245457 Averaged sum = 0.5846890919710216478 logp*logq = 45.95188441783523563 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(877,881) = 0.8021519104653639577 D2(877,881) = 0.4063018518558304161 C1(877,881) = 1.012222455358154626 C2(877,881) = 1.367661876395165703 C3(877,881) = 6.936858299812744035 C4(877,881) = 7048 Sum = 5846.306230618245457 Averaged sum = 0.5846890919710216478 logp*logq = 45.95188441783523563 -------------- ************************************* p = 877; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.190164963567786386 E19 -------------- Searches starting with [877,883]-exponents: u = 1, v = 993 n_start has 2929 digits --- performed 5000 steps in the continued fraction search [877,883]-exponents: u = 45, v = 944 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(877,883) = 0.5795242435625227838 D2(877,883) = 0.3024466023841192899 C1(877,883) = 0.7401935937641349122 C2(877,883) = 1.308882307625008260 C3(877,883) = 4.121973892502430693 C4(877,883) = 7064 Sum = 5655.081136687565446 Averaged sum = 0.5655646701357701216 logp*logq = 45.96725065342717625 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(877,883) = 0.5795242435625227838 D2(877,883) = 0.3024466023841192899 C1(877,883) = 0.7401935937641349122 C2(877,883) = 1.308882307625008260 C3(877,883) = 4.121973892502430693 C4(877,883) = 7064 Sum = 5655.081136687565446 Averaged sum = 0.5655646701357701216 logp*logq = 45.96725065342717625 -------------- ************************************* p = 877; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.475999361089207152 E19 -------------- Searches starting with [877,887]-exponents: u = 1, v = 597 n_start has 1763 digits --- performed 5000 steps in the continued fraction search [877,887]-exponents: u = 252, v = 338 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(877,887) = 0.5849451093335982273 D2(877,887) = 0.1976547604864240148 C1(877,887) = 0.7600064300906845087 C2(877,887) = 1.268375670246100494 C3(877,887) = 4.281242425253965757 C4(877,887) = 7096 Sum = 5389.658277352924039 Averaged sum = 0.5390197297082632302 logp*logq = 45.99787898575930251 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(877,887) = 0.5849451093335982273 D2(877,887) = 0.1976547604864240148 C1(877,887) = 0.7600064300906845087 C2(877,887) = 1.268375670246100494 C3(877,887) = 4.281242425253965757 C4(877,887) = 7096 Sum = 5389.658277352924039 Averaged sum = 0.5390197297082632302 logp*logq = 45.99787898575930251 -------------- ************************************* p = 877; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.102164608824744012 E20 -------------- Searches starting with [877,907]-exponents: u = 1, v = 201 n_start has 598 digits starting right neighbors generation We generated 4234 left neighbors We generated 5776 right neighbors We generated 10009 non-negative rho_i D1(877,907) = 0.5734248431025488997 D2(877,907) = 0.001312069163090236105 C1(877,907) = 0.7801267210540430104 C2(877,907) = 1.250391220875953647 C3(877,907) = 4.449281673354184618 C4(877,907) = 7256 Sum = 4661.839281726211666 Averaged sum = 0.4657647399067051319 logp*logq = 46.14897793225585392 -------------- ************************************* p = 877; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.135525720113347528 E20 -------------- Searches starting with [877,911]-exponents: u = 1, v = 178 n_start has 530 digits starting right neighbors generation We generated 3409 left neighbors We generated 6601 right neighbors We generated 10009 non-negative rho_i D1(877,911) = 0.7173515169502265893 D2(877,911) = 0.0006827971388365779122 C1(877,911) = 0.9819599523764803911 C2(877,911) = 1.272299668750334612 C3(877,911) = 6.546580385444682816 C4(877,911) = 7288 Sum = 4554.188683060302308 Averaged sum = 0.4550093598821363081 logp*logq = 46.17879759310230250 -------------- ************************************* p = 877; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.204836965222592596 E20 -------------- Searches starting with [877,919]-exponents: u = 1, v = 144 n_start has 430 digits starting right neighbors generation We generated 2084 left neighbors We generated 7926 right neighbors We generated 10009 non-negative rho_i D1(877,919) = 0.7304306526991345913 D2(877,919) = 0.01346545132312083664 C1(877,919) = 1.010880383243883611 C2(877,919) = 1.323549654982568217 C3(877,919) = 6.919067275574862442 C4(877,919) = 7352 Sum = 4681.733283990224183 Averaged sum = 0.4677523512828678373 logp*logq = 46.23804611909939218 -------------- ************************************* p = 877; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.296520056136703745 E20 -------------- Searches starting with [877,929]-exponents: u = 1, v = 117 n_start has 351 digits starting right neighbors generation We generated 1468 left neighbors We generated 8542 right neighbors We generated 10009 non-negative rho_i D1(877,929) = 0.5793139250980046466 D2(877,929) = 0.006888771437147886813 C1(877,929) = 0.8112591873972805913 C2(877,929) = 1.360428030857683503 C3(877,929) = 4.722382531102146463 C4(877,929) = 7432 Sum = 4484.397260897050940 Averaged sum = 0.4480364932457838885 logp*logq = 46.31138565520381787 -------------- ************************************* p = 877; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.374086640295802744 E20 -------------- Searches starting with [877,937]-exponents: u = 1, v = 102 n_start has 307 digits starting right neighbors generation We generated 1181 left neighbors We generated 8829 right neighbors We generated 10009 non-negative rho_i D1(877,937) = 0.5522717072151258050 D2(877,937) = 0.001511479152213119470 C1(877,937) = 0.7802806090953370680 C2(877,937) = 1.385866544662127540 C3(877,937) = 4.450591996782825772 C4(877,937) = 7496 Sum = 3936.085573081870309 Averaged sum = 0.3932546281428584583 logp*logq = 46.36949110867690804 -------------- ************************************* p = 877; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.414330397664197180 E20 -------------- Searches starting with [877,941]-exponents: u = 1, v = 96 n_start has 289 digits starting right neighbors generation We generated 1022 left neighbors We generated 8988 right neighbors We generated 10009 non-negative rho_i D1(877,941) = 0.6499363620874245764 D2(877,941) = 0.01428092164776626874 C1(877,941) = 0.9217862002984255655 C2(877,941) = 1.411274541459403831 C3(877,941) = 5.834582196752027088 C4(877,941) = 7528 Sum = 3862.978530651516002 Averaged sum = 0.3859504976172960338 logp*logq = 46.39835806177507319 -------------- ************************************* p = 877; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.476578173458147743 E20 -------------- Searches starting with [877,947]-exponents: u = 1, v = 88 n_start has 265 digits starting right neighbors generation We generated 854 left neighbors We generated 9156 right neighbors We generated 10009 non-negative rho_i D1(877,947) = 0.6192327943128137219 D2(877,947) = 0.01963745971616270848 C1(877,947) = 0.8832075105945952777 C2(877,947) = 1.436013725944244174 C3(877,947) = 5.419392975774314420 C4(877,947) = 7576 Sum = 3745.488999754671662 Averaged sum = 0.3742121090772975984 logp*logq = 46.44142922579340047 -------------- ************************************* p = 877; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.541146314685409550 E20 -------------- Searches starting with [877,953]-exponents: u = 1, v = 81 n_start has 245 digits starting right neighbors generation We generated 710 left neighbors We generated 9300 right neighbors We generated 10009 non-negative rho_i D1(877,953) = 0.5119755867625944061 D2(877,953) = 0.02215335196379675633 C1(877,953) = 0.7336730415102391566 C2(877,953) = 1.457059192913703569 C3(877,953) = 4.070864241466003719 C4(877,953) = 7624 Sum = 4296.836906094114007 Averaged sum = 0.4292973230186945755 logp*logq = 46.48422835959313929 -------------- ************************************* p = 877; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.701231348497436845 E20 -------------- Searches starting with [877,967]-exponents: u = 1, v = 69 n_start has 209 digits starting right neighbors generation We generated 539 left neighbors We generated 9471 right neighbors We generated 10009 non-negative rho_i D1(877,967) = 0.5375054788673636514 D2(877,967) = 0.02435734920749469728 C1(877,967) = 0.7795945945913011628 C2(877,967) = 1.499200554033933831 C3(877,967) = 4.444753704118079226 C4(877,967) = 7736 Sum = 3823.023376187662716 Averaged sum = 0.3819585749013550520 logp*logq = 46.58305417139358930 -------------- ************************************* p = 877; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.749492154364384446 E20 -------------- Searches starting with [877,971]-exponents: u = 1, v = 66 n_start has 201 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(877,971) = 0.6602689406570007629 D2(877,971) = 0.008683994082091461428 C1(877,971) = 0.9178289226616570041 C2(877,971) = 1.496013323879716079 C3(877,971) = 5.790569006265112682 C4(877,971) = 7768 Sum = 4222.379044730258058 Averaged sum = 0.4218582320641680545 logp*logq = 46.61102740819482601 -------------- ************************************* p = 877; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.824069650638145118 E20 -------------- Searches starting with [877,977]-exponents: u = 1, v = 62 n_start has 189 digits starting right neighbors generation We generated 426 left neighbors We generated 9584 right neighbors We generated 10009 non-negative rho_i D1(877,977) = 0.5975319510796417598 D2(877,977) = 0.02485920094364226360 C1(877,977) = 0.8724506072691270474 C2(877,977) = 1.525770980069379192 C3(877,977) = 5.308986170833866005 C4(877,977) = 7816 Sum = 4291.202821773202259 Averaged sum = 0.4287344211982418083 logp*logq = 46.65277193646087750 -------------- ************************************* p = 877; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.901340235292356644 E20 -------------- Searches starting with [877,983]-exponents: u = 1, v = 59 n_start has 180 digits starting right neighbors generation We generated 405 left neighbors We generated 9605 right neighbors We generated 10009 non-negative rho_i D1(877,983) = 0.5471146358439681574 D2(877,983) = 0.02752766932245194997 C1(877,983) = 0.7654066844654429066 C2(877,983) = 1.542958172091392174 C3(877,983) = 4.325710628574036001 C4(877,983) = 7864 Sum = 3896.645732459902463 Averaged sum = 0.3893141904745631394 logp*logq = 46.69426088438081006 -------------- ************************************* p = 877; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.008695327221850407 E20 -------------- Searches starting with [877,991]-exponents: u = 1, v = 55 n_start has 168 digits starting right neighbors generation We generated 377 left neighbors We generated 9633 right neighbors We generated 10009 non-negative rho_i D1(877,991) = 0.6648097914199463219 D2(877,991) = 0.009375571647901376183 C1(877,991) = 0.9338988048866020192 C2(877,991) = 1.545847566329222845 C3(877,991) = 5.971389611775048213 C4(877,991) = 7928 Sum = 4040.990617073697031 Averaged sum = 0.4037356995777497283 logp*logq = 46.74918728026677220 -------------- ************************************* p = 877; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.092563801237390752 E20 -------------- Searches starting with [877,997]-exponents: u = 1, v = 52 n_start has 159 digits starting right neighbors generation We generated 308 left neighbors We generated 9702 right neighbors We generated 10009 non-negative rho_i D1(877,997) = 0.6575830933150941512 D2(877,997) = 0.02590326522479945250 C1(877,997) = 0.9730168225882473258 C2(877,997) = 1.573991582846745761 C3(877,997) = 6.435506175771344873 C4(877,997) = 7976 Sum = 4332.589542256174908 Averaged sum = 0.4328693717910055858 logp*logq = 46.79009187323361215 -------------- ************************************* p = 881; q = 883; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.478274774314347286 E19 -------------- Searches starting with [881,883]-exponents: u = 1, v = 2990 n_start has 8812 digits --- performed 5000 steps in the continued fraction search [881,883]-exponents: u = 2010, v = 980 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(881,883) = 0.6955308916432651502 D2(881,883) = 0.5235718998292264769 C1(881,883) = 0.8618782993071058088 C2(881,883) = 1.417281830294750312 C3(881,883) = 5.205677022635984017 C4(881,883) = 7064 Sum = 6138.035350082398397 Averaged sum = 0.6138649215003898786 logp*logq = 45.99811908076054771 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(881,883) = 0.6955308916432651502 D2(881,883) = 0.5235718998292264769 C1(881,883) = 0.8618782993071058088 C2(881,883) = 1.417281830294750312 C3(881,883) = 5.205677022635984017 C4(881,883) = 7064 Sum = 6138.035350082398397 Averaged sum = 0.6138649215003898786 logp*logq = 45.99811908076054771 -------------- ************************************* p = 881; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.773271035625335473 E19 -------------- Searches starting with [881,887]-exponents: u = 1, v = 999 n_start has 2948 digits --- performed 5000 steps in the continued fraction search [881,887]-exponents: u = 15, v = 980 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(881,887) = 0.8641805020002344997 D2(881,887) = 0.3127887743420281989 C1(881,887) = 1.103644182745237736 C2(881,887) = 1.318967041543723812 C3(881,887) = 8.269068285707762417 C4(881,887) = 7096 Sum = 5656.415702847054736 Averaged sum = 0.5656981400987153452 logp*logq = 46.02876798096300549 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(881,887) = 0.8641805020002344997 D2(881,887) = 0.3127887743420281989 C1(881,887) = 1.103644182745237736 C2(881,887) = 1.318967041543723812 C3(881,887) = 8.269068285707762417 C4(881,887) = 7096 Sum = 5656.415702847054736 Averaged sum = 0.5656981400987153452 logp*logq = 46.02876798096300549 -------------- ************************************* p = 881; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.136855974435315906 E20 -------------- Searches starting with [881,907]-exponents: u = 1, v = 233 n_start has 693 digits --- performed 5000 steps in the continued fraction search [881,907]-exponents: u = 105, v = 107 --- starting right neighbors generation We generated 5574 left neighbors We generated 4436 right neighbors We generated 10009 non-negative rho_i D1(881,907) = 0.7393337193184246279 D2(881,907) = 0.005534281612414288852 C1(881,907) = 0.9987471988667016856 C2(881,907) = 1.229064503301339799 C3(881,907) = 6.764815941032489053 C4(881,907) = 7256 Sum = 4788.139220086957810 Averaged sum = 0.4783833769694233000 logp*logq = 46.17996839506494500 -------------- ************************************* p = 881; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.171290603587113544 E20 -------------- Searches starting with [881,911]-exponents: u = 1, v = 202 n_start has 601 digits starting right neighbors generation We generated 4256 left neighbors We generated 5754 right neighbors We generated 10009 non-negative rho_i D1(881,911) = 0.5667726446154219315 D2(881,911) = 0.001805291601397379907 C1(881,911) = 0.7707692205070276742 C2(881,911) = 1.250422788942902389 C3(881,911) = 4.372587168864247615 C4(881,911) = 7288 Sum = 4738.008972885241818 Averaged sum = 0.4733748599146010408 logp*logq = 46.20980808073386740 -------------- ************************************* p = 881; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.242834345907370887 E20 -------------- Searches starting with [881,919]-exponents: u = 1, v = 160 n_start has 478 digits starting right neighbors generation We generated 2617 left neighbors We generated 7393 right neighbors We generated 10009 non-negative rho_i D1(881,919) = 0.5746583289309669064 D2(881,919) = 0.01039992466941702487 C1(881,919) = 0.7908650492889768950 C2(881,919) = 1.301197508974772519 C3(881,919) = 4.544060311434036785 C4(881,919) = 7352 Sum = 4618.218246661551311 Averaged sum = 0.4614065587632681898 logp*logq = 46.26909639394453528 -------------- ************************************* p = 881; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.337474748427934266 E20 -------------- Searches starting with [881,929]-exponents: u = 1, v = 127 n_start has 380 digits starting right neighbors generation We generated 1714 left neighbors We generated 8296 right neighbors We generated 10009 non-negative rho_i D1(881,929) = 0.6869432665968992094 D2(881,929) = 0.003915703470906281698 C1(881,929) = 0.9575094371638026873 C2(881,929) = 1.340909835032280746 C3(881,929) = 6.251369062892747541 C4(881,929) = 7432 Sum = 4613.784869667923102 Averaged sum = 0.4609636197090541614 logp*logq = 46.34248517981066569 -------------- ************************************* p = 881; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.417546829853779764 E20 -------------- Searches starting with [881,937]-exponents: u = 1, v = 110 n_start has 330 digits starting right neighbors generation We generated 1377 left neighbors We generated 8633 right neighbors We generated 10009 non-negative rho_i D1(881,937) = 0.9212734740979292852 D2(881,937) = 0.004024219539664388850 C1(881,937) = 1.295714463079879068 C2(881,937) = 1.372805205533604619 C3(881,937) = 11.94329363036445185 C4(881,937) = 7496 Sum = 4052.045307337123978 Averaged sum = 0.4048401745765934636 logp*logq = 46.40062965288885972 -------------- ************************************* p = 881; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.459091717979438591 E20 -------------- Searches starting with [881,941]-exponents: u = 1, v = 102 n_start has 307 digits starting right neighbors generation We generated 1088 left neighbors We generated 8922 right neighbors We generated 10009 non-negative rho_i D1(881,941) = 0.8029440740429556594 D2(881,941) = 0.01246893471055236564 C1(881,941) = 1.133868375710868059 C2(881,941) = 1.395032314936993180 C3(881,941) = 8.761568736017277909 C4(881,941) = 7528 Sum = 4796.490758610417052 Averaged sum = 0.4792177798591684536 logp*logq = 46.42951599103684578 -------------- ************************************* p = 881; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.523353597689061252 E20 -------------- Searches starting with [881,947]-exponents: u = 1, v = 93 n_start has 280 digits starting right neighbors generation We generated 904 left neighbors We generated 9106 right neighbors We generated 10009 non-negative rho_i D1(881,947) = 0.7169097621450377511 D2(881,947) = 0.01698520730315437294 C1(881,947) = 1.018248758578482406 C2(881,947) = 1.419875980841189820 C3(881,947) = 7.022109239039613403 C4(881,947) = 7576 Sum = 4640.645582975141489 Averaged sum = 0.4636472757493397431 logp*logq = 46.47261607867095959 -------------- ************************************* p = 881; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.590012842953692123 E20 -------------- Searches starting with [881,953]-exponents: u = 1, v = 86 n_start has 260 digits starting right neighbors generation We generated 834 left neighbors We generated 9176 right neighbors We generated 10009 non-negative rho_i D1(881,953) = 0.5753968997920923444 D2(881,953) = 0.01285247625644747751 C1(881,953) = 0.8220201437295574260 C2(881,953) = 1.435734364567501634 C3(881,953) = 4.823288471978963664 C4(881,953) = 7624 Sum = 3710.785028241959125 Averaged sum = 0.3707448324749684409 logp*logq = 46.51544395340979851 -------------- ************************************* p = 881; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.755290323815175878 E20 -------------- Searches starting with [881,967]-exponents: u = 1, v = 72 n_start has 218 digits starting right neighbors generation We generated 563 left neighbors We generated 9447 right neighbors We generated 10009 non-negative rho_i D1(881,967) = 0.6425957408122688432 D2(881,967) = 0.02002877260161310998 C1(881,967) = 0.9283752862152590737 C2(881,967) = 1.483656527274623122 C3(881,967) = 5.912293621072874056 C4(881,967) = 7736 Sum = 4461.999319170573993 Averaged sum = 0.4457987130752896386 logp*logq = 46.61433612979257309 -------------- ************************************* p = 881; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.805118592070434953 E20 -------------- Searches starting with [881,971]-exponents: u = 1, v = 69 n_start has 210 digits starting right neighbors generation We generated 539 left neighbors We generated 9471 right neighbors We generated 10009 non-negative rho_i D1(881,971) = 0.5780000389742393344 D2(881,971) = 0.01345998255595622140 C1(881,971) = 0.8375477947999942537 C2(881,971) = 1.488837254143110814 C3(881,971) = 4.968797909939662474 C4(881,971) = 7768 Sum = 4304.903964736402577 Averaged sum = 0.4301033035004898169 logp*logq = 46.64232815148555780 -------------- ************************************* p = 881; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.882120096973954223 E20 -------------- Searches starting with [881,977]-exponents: u = 1, v = 65 n_start has 198 digits starting right neighbors generation We generated 507 left neighbors We generated 9503 right neighbors We generated 10009 non-negative rho_i D1(881,977) = 0.6382674510035477367 D2(881,977) = 0.004830293358140586625 C1(881,977) = 0.8880926450578149651 C2(881,977) = 1.497125065286292797 C3(881,977) = 5.473550608528705954 C4(881,977) = 7816 Sum = 4216.725588578723161 Averaged sum = 0.4212933948025500210 logp*logq = 46.68410071249054906 -------------- ************************************* p = 881; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.961904453898217237 E20 -------------- Searches starting with [881,983]-exponents: u = 1, v = 61 n_start has 186 digits starting right neighbors generation We generated 419 left neighbors We generated 9591 right neighbors We generated 10009 non-negative rho_i D1(881,983) = 0.7416029943904466012 D2(881,983) = 0.01616354421437354946 C1(881,983) = 1.084224443819035016 C2(881,983) = 1.522339990422800696 C3(881,983) = 7.967333550423388885 C4(881,983) = 7864 Sum = 4678.396989170521042 Averaged sum = 0.4674190217974344132 logp*logq = 46.72561752151933193 -------------- ************************************* p = 881; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.072755626031546335 E20 -------------- Searches starting with [881,991]-exponents: u = 1, v = 57 n_start has 174 digits starting right neighbors generation We generated 391 left neighbors We generated 9619 right neighbors We generated 10009 non-negative rho_i D1(881,991) = 0.5213830615798312426 D2(881,991) = 0.01044460102641994861 C1(881,991) = 0.7661377892055452407 C2(881,991) = 1.536672529409199202 C3(881,991) = 4.333994731727533611 C4(881,991) = 7928 Sum = 4186.973866736879164 Averaged sum = 0.4183208978656088684 logp*logq = 46.78058080217512451 -------------- ************************************* p = 881; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.159358105080721729 E20 -------------- Searches starting with [881,997]-exponents: u = 1, v = 54 n_start has 165 digits starting right neighbors generation We generated 320 left neighbors We generated 9690 right neighbors We generated 10009 non-negative rho_i D1(881,997) = 0.6402400976930878068 D2(881,997) = 0.03488326091870841666 C1(881,997) = 0.9446867263238357434 C2(881,997) = 1.572158173926240316 C3(881,997) = 6.099800799374995877 C4(881,997) = 7976 Sum = 4310.391554560557058 Averaged sum = 0.4306515690439161813 logp*logq = 46.82151286383843095 -------------- ************************************* p = 883; q = 887; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 9.924864354300325099 E19 -------------- Searches starting with [883,887]-exponents: u = 1, v = 1500 n_start has 4425 digits --- performed 5000 steps in the continued fraction search [883,887]-exponents: u = 503, v = 995 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(883,887) = 0.6079608211049885169 D2(883,887) = 0.3931566213588429296 C1(883,887) = 0.7670993573080470881 C2(883,887) = 1.354378530257078646 C3(883,887) = 4.343092842209314585 C4(883,887) = 7096 Sum = 5848.053582206188919 Averaged sum = 0.5848638446050793998 logp*logq = 46.04415992629371171 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(883,887) = 0.6079608211049885169 D2(883,887) = 0.3931566213588429296 C1(883,887) = 0.7670993573080470881 C2(883,887) = 1.354378530257078646 C3(883,887) = 4.343092842209314585 C4(883,887) = 7096 Sum = 5848.053582206188919 Averaged sum = 0.5848638446050793998 logp*logq = 46.04415992629371171 -------------- ************************************* p = 883; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.154548134273634226 E20 -------------- Searches starting with [883,907]-exponents: u = 1, v = 252 n_start has 749 digits --- performed 5000 steps in the continued fraction search [883,907]-exponents: u = 150, v = 83 --- starting right neighbors generation We generated 6278 left neighbors We generated 3732 right neighbors We generated 10009 non-negative rho_i D1(883,907) = 0.8780613321343770088 D2(883,907) = 0.006656134152006514822 C1(883,907) = 1.181640588115698366 C2(883,907) = 1.216492275355760717 C3(883,907) = 9.604314390254053197 C4(883,907) = 7256 Sum = 4896.931476387434780 Averaged sum = 0.4892528201006528903 logp*logq = 46.19541090156880275 -------------- ************************************* p = 883; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.189530516940690538 E20 -------------- Searches starting with [883,911]-exponents: u = 1, v = 217 n_start has 646 digits starting right neighbors generation We generated 4783 left neighbors We generated 5227 right neighbors We generated 10009 non-negative rho_i D1(883,911) = 0.6434593542340848092 D2(883,911) = 0.008033239989816306275 C1(883,911) = 0.8722428081593753514 C2(883,911) = 1.243793952816293245 C3(883,911) = 5.311532724548856765 C4(883,911) = 7288 Sum = 4725.910512460556091 Averaged sum = 0.4721661017544765801 logp*logq = 46.22526056558019765 -------------- ************************************* p = 883; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.262213397892045135 E20 -------------- Searches starting with [883,919]-exponents: u = 1, v = 169 n_start has 504 digits starting right neighbors generation We generated 2924 left neighbors We generated 7086 right neighbors We generated 10009 non-negative rho_i D1(883,919) = 0.6514909499218982377 D2(883,919) = 0.006944317852558312175 C1(883,919) = 0.8940696770478428052 C2(883,919) = 1.287768743271150672 C3(883,919) = 5.538187447892854537 C4(883,919) = 7352 Sum = 4672.849935735493378 Averaged sum = 0.4668648152398334876 logp*logq = 46.28456870470660731 -------------- ************************************* p = 883; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.358362828174874529 E20 -------------- Searches starting with [883,929]-exponents: u = 1, v = 133 n_start has 398 digits starting right neighbors generation We generated 1919 left neighbors We generated 8091 right neighbors We generated 10009 non-negative rho_i D1(883,929) = 0.5602883786221263915 D2(883,929) = 0.001148830452843692431 C1(883,929) = 0.7789619285313325425 C2(883,929) = 1.329662054080097531 C3(883,929) = 4.442855218241755480 C4(883,929) = 7432 Sum = 4526.430482894603331 Averaged sum = 0.4522360358571888631 logp*logq = 46.35798203166365733 -------------- ************************************* p = 883; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.439713432072380724 E20 -------------- Searches starting with [883,937]-exponents: u = 1, v = 114 n_start has 342 digits starting right neighbors generation We generated 1429 left neighbors We generated 8581 right neighbors We generated 10009 non-negative rho_i D1(883,937) = 0.6150567469764702677 D2(883,937) = 0.007317019224557768170 C1(883,937) = 0.8632186436360713365 C2(883,937) = 1.367830699949698738 C3(883,937) = 5.220556332288871020 C4(883,937) = 7496 Sum = 4072.999794653980352 Averaged sum = 0.4069337391002078481 logp*logq = 46.41614594815930873 -------------- ************************************* p = 883; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.481922284619643885 E20 -------------- Searches starting with [883,941]-exponents: u = 1, v = 106 n_start has 319 digits starting right neighbors generation We generated 1229 left neighbors We generated 8781 right neighbors We generated 10009 non-negative rho_i D1(883,941) = 0.5648956284846021036 D2(883,941) = 0.005330841174743687272 C1(883,941) = 0.7958746904539422595 C2(883,941) = 1.381128874674630425 C3(883,941) = 4.589064399171704731 C4(883,941) = 7528 Sum = 4434.197645648670111 Averaged sum = 0.4430210456238055861 logp*logq = 46.44504194585190310 -------------- ************************************* p = 883; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.547211976128741909 E20 -------------- Searches starting with [883,947]-exponents: u = 1, v = 96 n_start has 289 digits starting right neighbors generation We generated 934 left neighbors We generated 9076 right neighbors We generated 10009 non-negative rho_i D1(883,947) = 0.8438291924624077186 D2(883,947) = 0.02185871083902371987 C1(883,947) = 1.196172695039222585 C2(883,947) = 1.417148806423779690 C3(883,947) = 9.875270062156320858 C4(883,947) = 7576 Sum = 4903.493119748675262 Averaged sum = 0.4899083944198896255 logp*logq = 46.48815644608539146 -------------- ************************************* p = 883; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.614938349909168844 E20 -------------- Searches starting with [883,953]-exponents: u = 1, v = 88 n_start has 266 digits starting right neighbors generation We generated 854 left neighbors We generated 9156 right neighbors We generated 10009 non-negative rho_i D1(883,953) = 0.7856142138799292602 D2(883,953) = 0.004148536042586662403 C1(883,953) = 1.119857866550509680 C2(883,953) = 1.421319249689252379 C3(883,953) = 8.532918133026158128 C4(883,953) = 7624 Sum = 4792.073590212773047 Averaged sum = 0.4787764602070909229 logp*logq = 46.53099864239605439 -------------- ************************************* p = 883; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.782865726256810882 E20 -------------- Searches starting with [883,967]-exponents: u = 1, v = 74 n_start has 224 digits starting right neighbors generation We generated 579 left neighbors We generated 9431 right neighbors We generated 10009 non-negative rho_i D1(883,967) = 0.5477057532022170881 D2(883,967) = 0.03044534857778156813 C1(883,967) = 0.7898275233995525644 C2(883,967) = 1.486965308289202369 C3(883,967) = 4.536242673110357476 C4(883,967) = 7736 Sum = 4293.662702138205289 Averaged sum = 0.4289801880445804065 logp*logq = 46.62992388816215784 -------------- ************************************* p = 883; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.833493953001600699 E20 -------------- Searches starting with [883,971]-exponents: u = 1, v = 71 n_start has 216 digits starting right neighbors generation We generated 555 left neighbors We generated 9455 right neighbors We generated 10009 non-negative rho_i D1(883,971) = 0.5774083514993725847 D2(883,971) = 0.02911665077126196346 C1(883,971) = 0.7995278251688265425 C2(883,971) = 1.496938443792866125 C3(883,971) = 4.621271927105667977 C4(883,971) = 7768 Sum = 3822.534979778036024 Averaged sum = 0.3819097791765447122 logp*logq = 46.65792527034177936 -------------- ************************************* p = 883; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.911732578684519909 E20 -------------- Searches starting with [883,977]-exponents: u = 1, v = 67 n_start has 204 digits starting right neighbors generation We generated 523 left neighbors We generated 9487 right neighbors We generated 10009 non-negative rho_i D1(883,977) = 0.8475445013163132012 D2(883,977) = 0.02788416111909106719 C1(883,977) = 1.232091951793825707 C2(883,977) = 1.511942744951073990 C3(883,977) = 10.57824893285953603 C4(883,977) = 7816 Sum = 3383.537761280235353 Averaged sum = 0.3380495315496288693 logp*logq = 46.69971180002339429 -------------- ************************************* p = 883; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.992799895097033241 E20 -------------- Searches starting with [883,983]-exponents: u = 1, v = 63 n_start has 192 digits starting right neighbors generation We generated 491 left neighbors We generated 9519 right neighbors We generated 10009 non-negative rho_i D1(883,983) = 0.6091193360080575257 D2(883,983) = 0.008479883080400495568 C1(883,983) = 0.8895203205363480293 C2(883,983) = 1.510193288015581732 C3(883,983) = 5.490161525811815478 C4(883,983) = 7864 Sum = 3266.361904180622161 Averaged sum = 0.3263424821840965292 logp*logq = 46.74124249220575496 -------------- ************************************* p = 883; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.105435412657194289 E20 -------------- Searches starting with [883,991]-exponents: u = 1, v = 58 n_start has 177 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(883,991) = 0.6142334530227701254 D2(883,991) = 0.008739681861007471523 C1(883,991) = 0.9014418007452295143 C2(883,991) = 1.530041530180095424 C3(883,991) = 5.616905909697686406 C4(883,991) = 7928 Sum = 4286.662356841705387 Averaged sum = 0.4282807829794889986 logp*logq = 46.79622415249342037 -------------- ************************************* p = 883; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.193433319198526868 E20 -------------- Searches starting with [883,997]-exponents: u = 1, v = 55 n_start has 168 digits starting right neighbors generation We generated 326 left neighbors We generated 9684 right neighbors We generated 10009 non-negative rho_i D1(883,997) = 0.6874884394515043476 D2(883,997) = 0.03696723824394315648 C1(883,997) = 1.013028269326558557 C2(883,997) = 1.569050831542785398 C3(883,997) = 6.954643886248723059 C4(883,997) = 7976 Sum = 4461.368290649101391 Averaged sum = 0.4457356669646419613 logp*logq = 46.83716990177173435 -------------- ************************************* p = 887; q = 907; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.190638120299796182 E20 -------------- Searches starting with [887,907]-exponents: u = 1, v = 304 n_start has 903 digits --- performed 5000 steps in the continued fraction search [887,907]-exponents: u = 256, v = 33 --- starting right neighbors generation We generated 9295 left neighbors We generated 715 right neighbors We generated 10009 non-negative rho_i D1(887,907) = 0.6104119839495214807 D2(887,907) = 0.003961917183242078521 C1(887,907) = 0.8147752110657011969 C2(887,907) = 1.184275988592172469 C3(887,907) = 4.760740911960372782 C4(887,907) = 7256 Sum = 4990.825431179346360 Averaged sum = 0.4986337727224844000 logp*logq = 46.22619125882749575 -------------- ************************************* p = 887; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.226738414665248033 E20 -------------- Searches starting with [887,911]-exponents: u = 1, v = 254 n_start has 755 digits --- performed 5000 steps in the continued fraction search [887,911]-exponents: u = 110, v = 125 --- starting right neighbors generation We generated 6560 left neighbors We generated 3450 right neighbors We generated 10009 non-negative rho_i D1(887,911) = 0.6734160293679213570 D2(887,911) = 0.005252752932069959798 C1(887,911) = 0.9061576193686909366 C2(887,911) = 1.214860987816571934 C3(887,911) = 5.671268546614844469 C4(887,911) = 7288 Sum = 4854.625987151207346 Averaged sum = 0.4850260752473980763 logp*logq = 46.25606081189939236 -------------- ************************************* p = 887; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.301746219141416675 E20 -------------- Searches starting with [887,919]-exponents: u = 1, v = 191 n_start has 569 digits starting right neighbors generation We generated 3842 left neighbors We generated 6168 right neighbors We generated 10009 non-negative rho_i D1(887,919) = 0.5676837700084870663 D2(887,919) = 0.0003336187297700434480 C1(887,919) = 0.7742682680605206707 C2(887,919) = 1.259945200165359379 C3(887,919) = 4.405382575775322380 C4(887,919) = 7352 Sum = 4703.459788558552641 Averaged sum = 0.4699230481125539655 logp*logq = 46.31540846849463780 -------------- ************************************* p = 887; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.400975600508240351 E20 -------------- Searches starting with [887,929]-exponents: u = 1, v = 146 n_start has 437 digits starting right neighbors generation We generated 2247 left neighbors We generated 7763 right neighbors We generated 10009 non-negative rho_i D1(887,929) = 0.6281441031420197073 D2(887,929) = 0.003583503141789335777 C1(887,929) = 0.8688742853296696710 C2(887,929) = 1.313488953696098002 C3(887,929) = 5.280444394975935272 C4(887,929) = 7432 Sum = 4599.863350534454382 Averaged sum = 0.4595727196058002180 logp*logq = 46.38887071131556232 -------------- ************************************* p = 887; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.484935776237935314 E20 -------------- Searches starting with [887,937]-exponents: u = 1, v = 123 n_start has 369 digits starting right neighbors generation We generated 1546 left neighbors We generated 8464 right neighbors We generated 10009 non-negative rho_i D1(887,937) = 0.6536929371305297106 D2(887,937) = 0.01456279817256925717 C1(887,937) = 0.9129779209410943070 C2(887,937) = 1.357916650027043341 C3(887,937) = 5.745831356287596786 C4(887,937) = 7496 Sum = 4573.250667539374687 Averaged sum = 0.4569138442940728032 logp*logq = 46.44707338287571818 -------------- ************************************* p = 887; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.528499865436906646 E20 -------------- Searches starting with [887,941]-exponents: u = 1, v = 114 n_start has 342 digits starting right neighbors generation We generated 1325 left neighbors We generated 8685 right neighbors We generated 10009 non-negative rho_i D1(887,941) = 0.7153063927222148044 D2(887,941) = 0.01611085865554310192 C1(887,941) = 1.003490099691300947 C2(887,941) = 1.375142850635802665 C3(887,941) = 6.833366949914114594 C4(887,941) = 7528 Sum = 4640.677492847231928 Averaged sum = 0.4636504638672426744 logp*logq = 46.47598863419361789 -------------- ************************************* p = 887; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.595887490819869356 E20 -------------- Searches starting with [887,947]-exponents: u = 1, v = 103 n_start has 310 digits starting right neighbors generation We generated 1099 left neighbors We generated 8911 right neighbors We generated 10009 non-negative rho_i D1(887,947) = 0.5988155014367727687 D2(887,947) = 0.01848292962026426404 C1(887,947) = 0.8452317892603115280 C2(887,947) = 1.399544493301338882 C3(887,947) = 5.046685662687564755 C4(887,947) = 7576 Sum = 4459.547896925166403 Averaged sum = 0.4455537912803643124 logp*logq = 46.51913186194991244 -------------- ************************************* p = 887; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.665792097372207144 E20 -------------- Searches starting with [887,953]-exponents: u = 1, v = 94 n_start has 283 digits starting right neighbors generation We generated 1000 left neighbors We generated 9010 right neighbors We generated 10009 non-negative rho_i D1(887,953) = 0.5373117355761397856 D2(887,953) = 0.001809623011019258243 C1(887,953) = 0.7627598536865853443 C2(887,953) = 1.405489231649317842 C3(887,953) = 4.309349462495631612 C4(887,953) = 7624 Sum = 4366.271265611500665 Averaged sum = 0.4362345154972025842 logp*logq = 46.56200260434518536 -------------- ************************************* p = 887; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.839128659578828963 E20 -------------- Searches starting with [887,967]-exponents: u = 1, v = 78 n_start has 236 digits starting right neighbors generation We generated 683 left neighbors We generated 9327 right neighbors We generated 10009 non-negative rho_i D1(887,967) = 0.5338723841932711336 D2(887,967) = 0.01198273200297778576 C1(887,967) = 0.7671975048099832121 C2(887,967) = 1.458344935826758395 C3(887,967) = 4.346129375765265758 C4(887,967) = 7736 Sum = 4291.192135279656727 Averaged sum = 0.4287333535098068465 logp*logq = 46.66099376476270457 -------------- ************************************* p = 887; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.891389879142372792 E20 -------------- Searches starting with [887,971]-exponents: u = 1, v = 75 n_start has 227 digits starting right neighbors generation We generated 656 left neighbors We generated 9354 right neighbors We generated 10009 non-negative rho_i D1(887,971) = 1.017749824825941496 D2(887,971) = 0.01946429966885479598 C1(887,971) = 1.467818705465988635 C2(887,971) = 1.476513480827843682 C3(887,971) = 16.62768021648039158 C4(887,971) = 7768 Sum = 3563.240811004949762 Averaged sum = 0.3560036777904835410 logp*logq = 46.68901380447844072 -------------- ************************************* p = 887; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.972153941875409794 E20 -------------- Searches starting with [887,977]-exponents: u = 1, v = 70 n_start has 213 digits starting right neighbors generation We generated 547 left neighbors We generated 9463 right neighbors We generated 10009 non-negative rho_i D1(887,977) = 0.6092665478206872030 D2(887,977) = 0.03116271556832450386 C1(887,977) = 0.8830004051911374144 C2(887,977) = 1.503518491307037584 C3(887,977) = 5.425248286119273135 C4(887,977) = 7816 Sum = 3419.331810527791439 Averaged sum = 0.3416257179066631470 logp*logq = 46.73082817684587875 -------------- ************************************* p = 887; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.055840324439585702 E20 -------------- Searches starting with [887,983]-exponents: u = 1, v = 66 n_start has 201 digits starting right neighbors generation We generated 515 left neighbors We generated 9495 right neighbors We generated 10009 non-negative rho_i D1(887,983) = 0.8523870911946713600 D2(887,983) = 0.02452546680298363326 C1(887,983) = 1.240629431299333162 C2(887,983) = 1.513453117570018893 C3(887,983) = 10.76145746272532397 C4(887,983) = 7864 Sum = 3361.062303678758789 Averaged sum = 0.3358040067617902677 logp*logq = 46.77238654124757085 -------------- ************************************* p = 887; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.172118538582381152 E20 -------------- Searches starting with [887,991]-exponents: u = 1, v = 61 n_start has 186 digits starting right neighbors generation We generated 475 left neighbors We generated 9535 right neighbors We generated 10009 non-negative rho_i D1(887,991) = 0.6097756237546484200 D2(887,991) = 0.001054938712595364425 C1(887,991) = 0.8927367048234745701 C2(887,991) = 1.512867966910148247 C3(887,991) = 5.527358195722055951 C4(887,991) = 7928 Sum = 3216.836342311118404 Averaged sum = 0.3213943792897510644 logp*logq = 46.82740483623797624 -------------- ************************************* p = 887; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.262965243871320846 E20 -------------- Searches starting with [887,997]-exponents: u = 1, v = 58 n_start has 177 digits starting right neighbors generation We generated 398 left neighbors We generated 9612 right neighbors We generated 10009 non-negative rho_i D1(887,997) = 0.8201628470358721630 D2(887,997) = 0.03626436794972081591 C1(887,997) = 1.205377797089324063 C2(887,997) = 1.558363456086317663 C3(887,997) = 10.05891606175452276 C4(887,997) = 7976 Sum = 3163.773952345806579 Averaged sum = 0.3160929116141279427 logp*logq = 46.86837786798366987 -------------- ************************************* p = 907; q = 911; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.428044467130530721 E20 -------------- Searches starting with [907,911]-exponents: u = 1, v = 1547 n_start has 4582 digits --- performed 5000 steps in the continued fraction search [907,911]-exponents: u = 362, v = 1183 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(907,911) = 0.6403449213257000719 D2(907,911) = 0.3985473894056308898 C1(907,911) = 0.8076006160244293451 C2(907,911) = 1.359031809254217855 C3(907,911) = 4.708227692201162314 C4(907,911) = 7288 Sum = 5855.042722843922629 Averaged sum = 0.5855628285672489878 logp*logq = 46.40800786276063417 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(907,911) = 0.6403449213257000719 D2(907,911) = 0.3985473894056308898 C1(907,911) = 0.8076006160244293451 C2(907,911) = 1.359031809254217855 C3(907,911) = 4.708227692201162314 C4(907,911) = 7288 Sum = 5855.042722843922629 Averaged sum = 0.5855628285672489878 logp*logq = 46.40800786276063417 -------------- ************************************* p = 907; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.515656398181478306 E20 -------------- Searches starting with [907,919]-exponents: u = 1, v = 518 n_start has 1538 digits --- performed 5000 steps in the continued fraction search [907,919]-exponents: u = 374, v = 136 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(907,919) = 0.7789707258240582595 D2(907,919) = 0.1613630268206069550 C1(907,919) = 1.017999946472948063 C2(907,919) = 1.255743255421605598 C3(907,919) = 7.049413132340895141 C4(907,919) = 7352 Sum = 5299.987340756427044 Averaged sum = 0.5300517392495676612 logp*logq = 46.46755047113596836 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(907,919) = 0.7789707258240582595 D2(907,919) = 0.1613630268206069550 C1(907,919) = 1.017999946472948063 C2(907,919) = 1.255743255421605598 C3(907,919) = 7.049413132340895141 C4(907,919) = 7352 Sum = 5299.987340756427044 Averaged sum = 0.5300517392495676612 logp*logq = 46.46755047113596836 -------------- ************************************* p = 907; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.631585385101066402 E20 -------------- Searches starting with [907,929]-exponents: u = 1, v = 284 n_start has 846 digits --- performed 5000 steps in the continued fraction search [907,929]-exponents: u = 41, v = 226 --- starting right neighbors generation We generated 8144 left neighbors We generated 1866 right neighbors We generated 10009 non-negative rho_i D1(907,929) = 0.7387661615442970347 D2(907,929) = 0.004967552923602021310 C1(907,929) = 0.9894980198542756043 C2(907,929) = 1.198676769511307562 C3(907,929) = 6.674310493480883143 C4(907,929) = 7432 Sum = 4933.856368520036792 Averaged sum = 0.4929419890618480160 logp*logq = 46.54125403089894040 -------------- ************************************* p = 907; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.729696627289623463 E20 -------------- Searches starting with [907,937]-exponents: u = 1, v = 209 n_start has 625 digits starting right neighbors generation We generated 4599 left neighbors We generated 5411 right neighbors We generated 10009 non-negative rho_i D1(907,937) = 0.6460637734653454922 D2(907,937) = 0.0001903457431724439817 C1(907,937) = 0.8778561276298748911 C2(907,937) = 1.246362969904962859 C3(907,937) = 5.387549484761172521 C4(907,937) = 7496 Sum = 4687.302934811697512 Averaged sum = 0.4683088155471772916 logp*logq = 46.59964789306505328 -------------- ************************************* p = 907; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.780610474190679482 E20 -------------- Searches starting with [907,941]-exponents: u = 1, v = 185 n_start has 554 digits starting right neighbors generation We generated 3549 left neighbors We generated 6461 right neighbors We generated 10009 non-negative rho_i D1(907,941) = 0.8687068402530497907 D2(907,941) = 0.008277579396628282224 C1(907,941) = 1.187616106171347554 C2(907,941) = 1.275906539997364915 C3(907,941) = 9.760447227786892808 C4(907,941) = 7528 Sum = 4582.902214764913105 Averaged sum = 0.4578781311584487066 logp*logq = 46.62865812841500303 -------------- ************************************* p = 907; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.859376502764795966 E20 -------------- Searches starting with [907,947]-exponents: u = 1, v = 157 n_start has 471 digits starting right neighbors generation We generated 2566 left neighbors We generated 7444 right neighbors We generated 10009 non-negative rho_i D1(907,947) = 0.6799254429864201761 D2(907,947) = 0.003288113381149167798 C1(907,947) = 0.9372547951443269182 C2(907,947) = 1.301546431399180435 C3(907,947) = 6.037812748781838696 C4(907,947) = 7576 Sum = 4653.371543539464900 Averaged sum = 0.4649187274991972125 logp*logq = 46.67194307784208278 -------------- ************************************* p = 907; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.941096048394386633 E20 -------------- Searches starting with [907,953]-exponents: u = 1, v = 137 n_start has 412 digits starting right neighbors generation We generated 1979 left neighbors We generated 8031 right neighbors We generated 10009 non-negative rho_i D1(907,953) = 0.5928457525567916679 D2(907,953) = 0.005261371329180189796 C1(907,953) = 0.8233309139901539599 C2(907,953) = 1.330364454706978899 C3(907,953) = 4.852474396830611790 C4(907,953) = 7624 Sum = 4545.643059201661485 Averaged sum = 0.4541555659108463867 logp*logq = 46.71495464681793469 -------------- ************************************* p = 907; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.143776781159360846 E20 -------------- Searches starting with [907,967]-exponents: u = 1, v = 106 n_start has 320 digits starting right neighbors generation We generated 1229 left neighbors We generated 8781 right neighbors We generated 10009 non-negative rho_i D1(907,967) = 0.5904638150470907106 D2(907,967) = 0.01014370186021934592 C1(907,967) = 0.8328780445995136567 C2(907,967) = 1.389298055253289414 C3(907,967) = 4.942167991468962528 C4(907,967) = 7736 Sum = 3974.556748110402404 Averaged sum = 0.3970982863533222503 logp*logq = 46.81427098440408354 -------------- ************************************* p = 907; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.204897907956344893 E20 -------------- Searches starting with [907,971]-exponents: u = 1, v = 99 n_start has 299 digits starting right neighbors generation We generated 1055 left neighbors We generated 8955 right neighbors We generated 10009 non-negative rho_i D1(907,971) = 0.7334889614672703973 D2(907,971) = 0.006148427324368612676 C1(907,971) = 1.038385611852282647 C2(907,971) = 1.399662762203764852 C3(907,971) = 7.330564285614236761 C4(907,971) = 7768 Sum = 4660.338806289749531 Averaged sum = 0.4656148272844189760 logp*logq = 46.84238306746127789 -------------- ************************************* p = 907; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.299364858789364794 E20 -------------- Searches starting with [907,977]-exponents: u = 1, v = 91 n_start has 276 digits starting right neighbors generation We generated 884 left neighbors We generated 9126 right neighbors We generated 10009 non-negative rho_i D1(907,977) = 0.5437517099633568180 D2(907,977) = 0.01735640298677102577 C1(907,977) = 0.7738934578182181615 C2(907,977) = 1.429418659615904854 C3(907,977) = 4.413408525918848878 C4(907,977) = 7816 Sum = 4354.639304213682416 Averaged sum = 0.4350723652926048971 logp*logq = 46.88433479632759037 -------------- ************************************* p = 907; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.397263351118706891 E20 -------------- Searches starting with [907,983]-exponents: u = 1, v = 84 n_start has 255 digits starting right neighbors generation We generated 737 left neighbors We generated 9273 right neighbors We generated 10009 non-negative rho_i D1(907,983) = 0.5504265040548478873 D2(907,983) = 0.02624274933061168636 C1(907,983) = 0.7874860127684485987 C2(907,983) = 1.455968734634978798 C3(907,983) = 4.530006769764474174 C4(907,983) = 7864 Sum = 4332.871482812899502 Averaged sum = 0.4328975404948445901 logp*logq = 46.92602967626473051 -------------- ************************************* p = 907; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.533310236941943517 E20 -------------- Searches starting with [907,991]-exponents: u = 1, v = 76 n_start has 231 digits starting right neighbors generation We generated 595 left neighbors We generated 9415 right neighbors We generated 10009 non-negative rho_i D1(907,991) = 0.7345596284108148481 D2(907,991) = 0.02809600087475175124 C1(907,991) = 1.058012221684615574 C2(907,991) = 1.480911949941463691 C3(907,991) = 7.611836273128673364 C4(907,991) = 7928 Sum = 4694.997378295717860 Averaged sum = 0.4690775680183552662 logp*logq = 46.98122870146692808 -------------- ************************************* p = 907; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.639618676751855229 E20 -------------- Searches starting with [907,997]-exponents: u = 1, v = 71 n_start has 216 digits starting right neighbors generation We generated 555 left neighbors We generated 9455 right neighbors We generated 10009 non-negative rho_i D1(907,997) = 1.031132843617902370 D2(907,997) = 0.01083844042291132154 C1(907,997) = 1.492188056459207620 C2(907,997) = 1.482065765166857221 C3(907,997) = 17.50756410741994057 C4(907,997) = 7976 Sum = 5575.756671513509618 Averaged sum = 0.5570743002810979736 logp*logq = 47.02233632598228964 -------------- ************************************* p = 911; q = 919; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.561854849729926420 E20 -------------- Searches starting with [911,919]-exponents: u = 1, v = 779 n_start has 2312 digits --- performed 5000 steps in the continued fraction search [911,919]-exponents: u = 341, v = 433 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(911,919) = 0.6566821132950377603 D2(911,919) = 0.2632888935952477906 C1(911,919) = 0.8459231732815410375 C2(911,919) = 1.302825507633237696 C3(911,919) = 5.070180763001089816 C4(911,919) = 7352 Sum = 5521.689093288730632 Averaged sum = 0.5522241317420472679 logp*logq = 46.49757598107139010 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(911,919) = 0.6566821132950377603 D2(911,919) = 0.2632888935952477906 C1(911,919) = 0.8459231732815410375 C2(911,919) = 1.302825507633237696 C3(911,919) = 5.070180763001089816 C4(911,919) = 7352 Sum = 5521.689093288730632 Averaged sum = 0.5522241317420472679 logp*logq = 46.49757598107139010 -------------- ************************************* p = 911; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.681397520922265542 E20 -------------- Searches starting with [911,929]-exponents: u = 1, v = 348 n_start has 1036 digits --- performed 5000 steps in the continued fraction search [911,929]-exponents: u = 219, v = 116 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(911,929) = 0.6659039637964062444 D2(911,929) = 0.03928000904448486009 C1(911,929) = 0.8841608053457098602 C2(911,929) = 1.198352040153002755 C3(911,929) = 5.456222726333916897 C4(911,929) = 7432 Sum = 5064.363452090792029 Averaged sum = 0.5064869939084700499 logp*logq = 46.57132716518605491 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(911,929) = 0.6659039637964062444 D2(911,929) = 0.03928000904448486009 C1(911,929) = 0.8841608053457098602 C2(911,929) = 1.198352040153002755 C3(911,929) = 5.456222726333916897 C4(911,929) = 7432 Sum = 5064.363452090792029 Averaged sum = 0.5064869939084700499 logp*logq = 46.57132716518605491 -------------- ************************************* p = 911; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.782571347755174318 E20 -------------- Searches starting with [911,937]-exponents: u = 1, v = 242 n_start has 723 digits --- performed 5000 steps in the continued fraction search [911,937]-exponents: u = 128, v = 94 --- starting right neighbors generation We generated 6018 left neighbors We generated 3992 right neighbors We generated 10009 non-negative rho_i D1(911,937) = 0.7266499422630182982 D2(911,937) = 0.003639079692389625420 C1(911,937) = 0.9805128963061973063 C2(911,937) = 1.224564313975279352 C3(911,937) = 6.564406423332361374 C4(911,937) = 7496 Sum = 4809.048753333322227 Averaged sum = 0.4804724501282168275 logp*logq = 46.62975875917729864 -------------- ************************************* p = 911; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.835075967667472856 E20 -------------- Searches starting with [911,941]-exponents: u = 1, v = 210 n_start has 628 digits starting right neighbors generation We generated 4622 left neighbors We generated 5388 right neighbors We generated 10009 non-negative rho_i D1(911,941) = 0.6260414286701747443 D2(911,941) = 0.0006287361521371872436 C1(911,941) = 0.8505264654195999239 C2(911,941) = 1.246365007604512051 C3(911,941) = 5.115169105597253410 C4(911,941) = 7528 Sum = 4689.684075445483608 Averaged sum = 0.4685467155005978227 logp*logq = 46.65878773980434816 -------------- ************************************* p = 911; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.916304895953605865 E20 -------------- Searches starting with [911,947]-exponents: u = 1, v = 175 n_start has 524 digits starting right neighbors generation We generated 3191 left neighbors We generated 6819 right neighbors We generated 10009 non-negative rho_i D1(911,947) = 0.7082784318920943284 D2(911,947) = 0.0005969134239486918311 C1(911,947) = 0.9708728625545066919 C2(911,947) = 1.279017538412250614 C3(911,947) = 6.444082674373272707 C4(911,947) = 7576 Sum = 4700.425512064013061 Averaged sum = 0.4696198933024291198 logp*logq = 46.70210065826930272 -------------- ************************************* p = 911; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.000582043065979155 E20 -------------- Searches starting with [911,953]-exponents: u = 1, v = 151 n_start has 453 digits starting right neighbors generation We generated 2464 left neighbors We generated 7546 right neighbors We generated 10009 non-negative rho_i D1(911,953) = 0.6832209867513160379 D2(911,953) = 0.002466314769303921614 C1(911,953) = 0.9442032206495845186 C2(911,953) = 1.309669618883473228 C3(911,953) = 6.122568382590736206 C4(911,953) = 7624 Sum = 4379.148279941804111 Averaged sum = 0.4375210590410434720 logp*logq = 46.74514001963529633 -------------- ************************************* p = 911; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.209615838453068986 E20 -------------- Searches starting with [911,967]-exponents: u = 1, v = 114 n_start has 344 digits starting right neighbors generation We generated 1429 left neighbors We generated 8581 right neighbors We generated 10009 non-negative rho_i D1(911,967) = 0.6416345500388441896 D2(911,967) = 0.007132875969876935430 C1(911,967) = 0.9011407114533310951 C2(911,967) = 1.371496231655273926 C3(911,967) = 5.636944613064204269 C4(911,967) = 7736 Sum = 4064.851407464286202 Averaged sum = 0.4061196330766596265 logp*logq = 46.84452053154633874 -------------- ************************************* p = 911; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.272655381998586288 E20 -------------- Searches starting with [911,971]-exponents: u = 1, v = 106 n_start has 320 digits starting right neighbors generation We generated 1229 left neighbors We generated 8781 right neighbors We generated 10009 non-negative rho_i D1(911,971) = 0.6923804017941539534 D2(911,971) = 0.0005633304727151275077 C1(911,971) = 0.9761654496737624913 C2(911,971) = 1.380225950672425625 C3(911,971) = 6.509867363809658273 C4(911,971) = 7768 Sum = 4584.903273955804824 Averaged sum = 0.4580780571441507467 logp*logq = 46.87265077952982210 -------------- ************************************* p = 911; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.370089589900180919 E20 -------------- Searches starting with [911,977]-exponents: u = 1, v = 97 n_start has 293 digits starting right neighbors generation We generated 1033 left neighbors We generated 8977 right neighbors We generated 10009 non-negative rho_i D1(911,977) = 0.5368350023433728895 D2(911,977) = 0.01068921631213508519 C1(911,977) = 0.7615319354661133387 C2(911,977) = 1.409858489078493504 C3(911,977) = 4.312098630441213209 C4(911,977) = 7816 Sum = 3857.808661418196688 Averaged sum = 0.3854339755638122378 logp*logq = 46.91462961595913526 -------------- ************************************* p = 911; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.471065854525393204 E20 -------------- Searches starting with [911,983]-exponents: u = 1, v = 89 n_start has 270 digits starting right neighbors generation We generated 864 left neighbors We generated 9146 right neighbors We generated 10009 non-negative rho_i D1(911,983) = 0.5357223813214613715 D2(911,983) = 0.01290212463099279040 C1(911,983) = 0.7636352326218651516 C2(911,983) = 1.431179708160633805 C3(911,983) = 4.329538949367823299 C4(911,983) = 7864 Sum = 4337.549837009715434 Averaged sum = 0.4333649552412544144 logp*logq = 46.95635143749356460 -------------- ************************************* p = 911; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.611394239962366526 E20 -------------- Searches starting with [911,991]-exponents: u = 1, v = 80 n_start has 243 digits starting right neighbors generation We generated 701 left neighbors We generated 9309 right neighbors We generated 10009 non-negative rho_i D1(911,991) = 0.9001614421564824191 D2(911,991) = 0.007524428864231499524 C1(911,991) = 1.292168014613057674 C2(911,991) = 1.450541555840644674 C3(911,991) = 11.93823942030648153 C4(911,991) = 7928 Sum = 5113.933027699224982 Averaged sum = 0.5109334626535343173 logp*logq = 47.01158613014246056 -------------- ************************************* p = 911; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.721051691631796257 E20 -------------- Searches starting with [911,997]-exponents: u = 1, v = 75 n_start has 228 digits starting right neighbors generation We generated 656 left neighbors We generated 9354 right neighbors We generated 10009 non-negative rho_i D1(911,997) = 0.6997739173612794314 D2(911,997) = 0.004168534910736262581 C1(911,997) = 0.9667306751510519175 C2(911,997) = 1.464604984033723292 C3(911,997) = 6.393061060732211866 C4(911,997) = 7976 Sum = 4247.219104604145556 Averaged sum = 0.4243400044564037922 logp*logq = 47.05272031679367377 -------------- ************************************* p = 919; q = 929; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.784926889870895106 E20 -------------- Searches starting with [919,929]-exponents: u = 1, v = 630 n_start has 1873 digits --- performed 5000 steps in the continued fraction search [919,929]-exponents: u = 611, v = 13 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(919,929) = 0.6319907803719108522 D2(919,929) = 0.2040679735151310238 C1(919,929) = 0.8202303605313473338 C2(919,929) = 1.272384464885335144 C3(919,929) = 4.831331720551097559 C4(919,929) = 7432 Sum = 5405.778146405797446 Averaged sum = 0.5406318778283625808 logp*logq = 46.63107931621819107 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(919,929) = 0.6319907803719108522 D2(919,929) = 0.2040679735151310238 C1(919,929) = 0.8202303605313473338 C2(919,929) = 1.272384464885335144 C3(919,929) = 4.831331720551097559 C4(919,929) = 7432 Sum = 5405.778146405797446 Averaged sum = 0.5406318778283625808 logp*logq = 46.63107931621819107 -------------- ************************************* p = 919; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.892472205363777121 E20 -------------- Searches starting with [919,937]-exponents: u = 1, v = 351 n_start has 1047 digits --- performed 5000 steps in the continued fraction search [919,937]-exponents: u = 177, v = 161 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(919,937) = 0.5395815703070243330 D2(919,937) = 0.03784632169934268740 C1(919,937) = 0.7162949037116897500 C2(919,937) = 1.196438602421613943 C3(919,937) = 3.957175879759096698 C4(919,937) = 7496 Sum = 5068.379571979058329 Averaged sum = 0.5068886460625120841 logp*logq = 46.68958587937268904 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(919,937) = 0.5395815703070243330 D2(919,937) = 0.03784632169934268740 C1(919,937) = 0.7162949037116897500 C2(919,937) = 1.196438602421613943 C3(919,937) = 3.957175879759096698 C4(919,937) = 7496 Sum = 5068.379571979058329 Averaged sum = 0.5068886460625120841 logp*logq = 46.68958587937268904 -------------- ************************************* p = 919; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 1.948286454570789835 E20 -------------- Searches starting with [919,941]-exponents: u = 1, v = 288 n_start has 860 digits --- performed 5000 steps in the continued fraction search [919,941]-exponents: u = 240, v = 32 --- starting right neighbors generation We generated 8264 left neighbors We generated 1746 right neighbors We generated 10009 non-negative rho_i D1(919,941) = 0.6054807086439483847 D2(919,941) = 0.005585959179884904060 C1(919,941) = 0.8106771502636203794 C2(919,941) = 1.198237953451701534 C3(919,941) = 4.743506949984957855 C4(919,941) = 7528 Sum = 4939.962892920302886 Averaged sum = 0.4935520924088623125 logp*logq = 46.71865210489139870 -------------- ************************************* p = 919; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.034639666197403890 E20 -------------- Searches starting with [919,947]-exponents: u = 1, v = 227 n_start has 679 digits --- performed 5000 steps in the continued fraction search [919,947]-exponents: u = 32, v = 173 --- starting right neighbors generation We generated 5219 left neighbors We generated 4791 right neighbors We generated 10009 non-negative rho_i D1(919,947) = 0.6213047828879702941 D2(919,947) = 0.006285961855797952858 C1(919,947) = 0.8410584529807925811 C2(919,947) = 1.238772291192367281 C3(919,947) = 5.028487243613554512 C4(919,947) = 7576 Sum = 4751.961592066287311 Averaged sum = 0.4747688672261252183 logp*logq = 46.76202059488938218 -------------- ************************************* p = 919; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.124238354947657879 E20 -------------- Searches starting with [919,953]-exponents: u = 1, v = 187 n_start has 561 digits starting right neighbors generation We generated 3589 left neighbors We generated 6421 right neighbors We generated 10009 non-negative rho_i D1(919,953) = 0.7021536928130487262 D2(919,953) = 0.002684393650386171339 C1(919,953) = 0.9593913381061672418 C2(919,953) = 1.269638269929250299 C3(919,953) = 6.311407471168585854 C4(919,953) = 7624 Sum = 4722.699699782530468 Averaged sum = 0.4718453091999730710 logp*logq = 46.80511517680796055 -------------- ************************************* p = 919; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.346491740830955364 E20 -------------- Searches starting with [919,967]-exponents: u = 1, v = 134 n_start has 404 digits starting right neighbors generation We generated 1934 left neighbors We generated 8076 right neighbors We generated 10009 non-negative rho_i D1(919,967) = 1.007894870896207309 D2(919,967) = 0.009141073755704069895 C1(919,967) = 1.402470621602303453 C2(919,967) = 1.340821400828212781 C3(919,967) = 14.77921948315717378 C4(919,967) = 7736 Sum = 4266.455163123389936 Averaged sum = 0.4262618806197811905 logp*logq = 46.90462319634480666 -------------- ************************************* p = 919; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.413523411364456138 E20 -------------- Searches starting with [919,971]-exponents: u = 1, v = 123 n_start has 371 digits starting right neighbors generation We generated 1546 left neighbors We generated 8464 right neighbors We generated 10009 non-negative rho_i D1(919,971) = 0.9433657645619235901 D2(919,971) = 0.01052882697462308522 C1(919,971) = 1.318565934913531946 C2(919,971) = 1.358195064678063905 C3(919,971) = 12.57985190685603880 C4(919,971) = 7768 Sum = 4957.889330710372503 Averaged sum = 0.4953431242592039667 logp*logq = 46.93278953612400197 -------------- ************************************* p = 919; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.517132539629151086 E20 -------------- Searches starting with [919,977]-exponents: u = 1, v = 111 n_start has 335 digits starting right neighbors generation We generated 1289 left neighbors We generated 8721 right neighbors We generated 10009 non-negative rho_i D1(919,977) = 0.5257871561642316994 D2(919,977) = 0.01604170906265610208 C1(919,977) = 0.7397745216139417239 C2(919,977) = 1.385753279790129610 C3(919,977) = 4.139684124917112256 C4(919,977) = 7816 Sum = 4022.542020600137603 Averaged sum = 0.4018924988110837849 logp*logq = 46.97482223242648517 -------------- ************************************* p = 919; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.624513968903155194 E20 -------------- Searches starting with [919,983]-exponents: u = 1, v = 101 n_start has 306 digits starting right neighbors generation We generated 1077 left neighbors We generated 8933 right neighbors We generated 10009 non-negative rho_i D1(919,983) = 0.5701777507576275752 D2(919,983) = 0.02037707207487192572 C1(919,983) = 0.8069237631717344881 C2(919,983) = 1.410662699307161744 C3(919,983) = 4.709439699415191074 C4(919,983) = 7864 Sum = 3907.219032600337133 Averaged sum = 0.3903705697472611783 logp*logq = 47.01659758407769257 -------------- ************************************* p = 919; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.773753020731067812 E20 -------------- Searches starting with [919,991]-exponents: u = 1, v = 90 n_start has 273 digits starting right neighbors generation We generated 874 left neighbors We generated 9136 right neighbors We generated 10009 non-negative rho_i D1(919,991) = 0.7178249087909211536 D2(919,991) = 0.01785761658329754392 C1(919,991) = 0.9824323384880492936 C2(919,991) = 1.434405281111472274 C3(919,991) = 6.596935927899288800 C4(919,991) = 7928 Sum = 3780.896977661483606 Averaged sum = 0.3777497230154344695 logp*logq = 47.07190314418728304 -------------- ************************************* p = 919; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.890380768131892550 E20 -------------- Searches starting with [919,997]-exponents: u = 1, v = 83 n_start has 252 digits starting right neighbors generation We generated 728 left neighbors We generated 9282 right neighbors We generated 10009 non-negative rho_i D1(919,997) = 0.6152770531056324915 D2(919,997) = 0.02017200283013036085 C1(919,997) = 0.8812312775798690824 C2(919,997) = 1.454672087730637796 C3(919,997) = 5.431768230734839738 C4(919,997) = 7976 Sum = 4424.071017699428105 Averaged sum = 0.4420092934058775207 logp*logq = 47.11309010700535638 -------------- ************************************* p = 929; q = 937; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.037940534879767713 E20 -------------- Searches starting with [929,937]-exponents: u = 1, v = 797 n_start has 2372 digits --- performed 5000 steps in the continued fraction search [929,937]-exponents: u = 233, v = 559 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(929,937) = 0.9912812358352806070 D2(929,937) = 0.2690688408289334831 C1(929,937) = 1.276396215254744236 C2(929,937) = 1.307716430979132539 C3(929,937) = 11.62478149746632497 C4(929,937) = 7496 Sum = 5528.188841355942498 Averaged sum = 0.5528741715527495247 logp*logq = 46.76364161608096049 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(929,937) = 0.9912812358352806070 D2(929,937) = 0.2690688408289334831 C1(929,937) = 1.276396215254744236 C2(929,937) = 1.307716430979132539 C3(929,937) = 11.62478149746632497 C4(929,937) = 7496 Sum = 5528.188841355942498 Averaged sum = 0.5528741715527495247 logp*logq = 46.76364161608096049 -------------- ************************************* p = 929; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.098141776189538723 E20 -------------- Searches starting with [929,941]-exponents: u = 1, v = 532 n_start has 1585 digits --- performed 5000 steps in the continued fraction search [929,941]-exponents: u = 248, v = 276 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(929,941) = 0.6193428060266267594 D2(929,941) = 0.1613736987830178890 C1(929,941) = 0.8089306603558375530 C2(929,941) = 1.254486206751657857 C3(929,941) = 4.733689506331799797 C4(929,941) = 7528 Sum = 5308.840793343385988 Averaged sum = 0.5309371730516437632 logp*logq = 46.79275394440190271 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(929,941) = 0.6193428060266267594 D2(929,941) = 0.1613736987830178890 C1(929,941) = 0.8089306603558375530 C2(929,941) = 1.254486206751657857 C3(929,941) = 4.733689506331799797 C4(929,941) = 7528 Sum = 5308.840793343385988 Averaged sum = 0.5309371730516437632 logp*logq = 46.79275394440190271 -------------- ************************************* p = 929; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.191287701468002128 E20 -------------- Searches starting with [929,947]-exponents: u = 1, v = 356 n_start has 1063 digits --- performed 5000 steps in the continued fraction search [929,947]-exponents: u = 107, v = 236 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(929,947) = 0.7763580982270255011 D2(929,947) = 0.04338710954366237926 C1(929,947) = 1.030214883204396663 C2(929,947) = 1.200816133858783582 C3(929,947) = 7.242720073454322396 C4(929,947) = 7576 Sum = 5071.830219809750333 Averaged sum = 0.5072337453555105844 logp*logq = 46.83619122244793236 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(929,947) = 0.7763580982270255011 D2(929,947) = 0.04338710954366237926 C1(929,947) = 1.030214883204396663 C2(929,947) = 1.200816133858783582 C3(929,947) = 7.242720073454322396 C4(929,947) = 7576 Sum = 5071.830219809750333 Averaged sum = 0.5072337453555105844 logp*logq = 46.83619122244793236 -------------- ************************************* p = 929; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.287941026558726282 E20 -------------- Searches starting with [929,953]-exponents: u = 1, v = 267 n_start has 799 digits --- performed 5000 steps in the continued fraction search [929,953]-exponents: u = 98, v = 151 --- starting right neighbors generation We generated 7153 left neighbors We generated 2857 right neighbors We generated 10009 non-negative rho_i D1(929,953) = 0.8611524569351847970 D2(929,953) = 0.001630784916316925229 C1(929,953) = 1.156980291587499187 C2(929,953) = 1.207908213656694258 C3(929,953) = 9.240819563848543253 C4(929,953) = 7624 Sum = 4905.627014884436606 Averaged sum = 0.4901215920555936263 logp*logq = 46.87935415796082961 -------------- ************************************* p = 929; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.527721111137250658 E20 -------------- Searches starting with [929,967]-exponents: u = 1, v = 170 n_start has 511 digits starting right neighbors generation We generated 2942 left neighbors We generated 7068 right neighbors We generated 10009 non-negative rho_i D1(929,967) = 0.5608771068209889156 D2(929,967) = 0.009596724020299638624 C1(929,967) = 0.7705305975193599981 C2(929,967) = 1.295166020980828650 C3(929,967) = 4.396913595676935815 C4(929,967) = 7736 Sum = 4486.069525951888529 Averaged sum = 0.4482035693827443829 logp*logq = 46.97902001011829954 -------------- ************************************* p = 929; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.600046073593614576 E20 -------------- Searches starting with [929,971]-exponents: u = 1, v = 154 n_start has 463 digits starting right neighbors generation We generated 2515 left neighbors We generated 7495 right neighbors We generated 10009 non-negative rho_i D1(929,971) = 0.5623218431143762994 D2(929,971) = 0.001549494653706901404 C1(929,971) = 0.7763360656298747769 C2(929,971) = 1.306804441377081712 C3(929,971) = 4.446247667772957390 C4(929,971) = 7768 Sum = 4580.957015016306085 Averaged sum = 0.4576837860941458772 logp*logq = 47.00723102536427052 -------------- ************************************* p = 929; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.711843145205480423 E20 -------------- Searches starting with [929,977]-exponents: u = 1, v = 135 n_start has 407 digits starting right neighbors generation We generated 1949 left neighbors We generated 8061 right neighbors We generated 10009 non-negative rho_i D1(929,977) = 0.5918112742676601899 D2(929,977) = 0.001531837333502426841 C1(929,977) = 0.8229945919938633150 C2(929,977) = 1.332816550349923753 C3(929,977) = 4.863385292733671093 C4(929,977) = 7816 Sum = 4529.947387668530408 Averaged sum = 0.4525874100977650523 logp*logq = 47.04933039097280749 -------------- ************************************* p = 929; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.827718333443102443 E20 -------------- Searches starting with [929,983]-exponents: u = 1, v = 120 n_start has 363 digits starting right neighbors generation We generated 1507 left neighbors We generated 8503 right neighbors We generated 10009 non-negative rho_i D1(929,983) = 0.8943875563106176623 D2(929,983) = 0.005357482467923559706 C1(929,983) = 1.252201716716862346 C2(929,983) = 1.360041568873999554 C3(929,983) = 11.09660402717261032 C4(929,983) = 7864 Sum = 4886.451266397246172 Averaged sum = 0.4882057414723994576 logp*logq = 47.09117200374808589 -------------- ************************************* p = 929; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.988774465933817667 E20 -------------- Searches starting with [929,991]-exponents: u = 1, v = 105 n_start has 318 digits starting right neighbors generation We generated 1121 left neighbors We generated 8889 right neighbors We generated 10009 non-negative rho_i D1(929,991) = 0.6450767888523874196 D2(929,991) = 0.01945598867437492811 C1(929,991) = 0.9103957077235035395 C2(929,991) = 1.401628684022156137 C3(929,991) = 5.752952723576749527 C4(929,991) = 7928 Sum = 4513.901826434262099 Averaged sum = 0.4509842967763275151 logp*logq = 47.14656528564661151 -------------- ************************************* p = 929; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.114646667546856694 E20 -------------- Searches starting with [929,997]-exponents: u = 1, v = 96 n_start has 291 digits starting right neighbors generation We generated 1022 left neighbors We generated 8988 right neighbors We generated 10009 non-negative rho_i D1(929,997) = 0.6145759110672128519 D2(929,997) = 0.001533948572006122113 C1(929,997) = 0.8721937606818502663 C2(929,997) = 1.405726959301318084 C3(929,997) = 5.345696915400253091 C4(929,997) = 7976 Sum = 4446.227638316558502 Averaged sum = 0.4442229631648075234 logp*logq = 47.18781757632777939 -------------- ************************************* p = 937; q = 941; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.225010190921202782 E20 -------------- Searches starting with [937,941]-exponents: u = 1, v = 1606 n_start has 4779 digits --- performed 5000 steps in the continued fraction search [937,941]-exponents: u = 185, v = 1419 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(937,941) = 0.7098328691280079326 D2(937,941) = 0.4059448491250504033 C1(937,941) = 0.8947574646841069713 C2(937,941) = 1.365545600275575677 C3(937,941) = 5.588883937843772374 C4(937,941) = 7528 Sum = 5863.519210444222428 Averaged sum = 0.5864105621006323060 logp*logq = 46.85146335567793280 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(937,941) = 0.7098328691280079326 D2(937,941) = 0.4059448491250504033 C1(937,941) = 0.8947574646841069713 C2(937,941) = 1.365545600275575677 C3(937,941) = 5.588883937843772374 C4(937,941) = 7528 Sum = 5863.519210444222428 Averaged sum = 0.5864105621006323060 logp*logq = 46.85146335567793280 -------------- ************************************* p = 937; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.323915022758859444 E20 -------------- Searches starting with [937,947]-exponents: u = 1, v = 644 n_start has 1920 digits --- performed 5000 steps in the continued fraction search [937,947]-exponents: u = 513, v = 125 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(937,947) = 0.6072431896811878093 D2(937,947) = 0.2135804387636349020 C1(937,947) = 0.7877645975669479754 C2(937,947) = 1.280756117654607298 C3(937,947) = 4.549480621553106248 C4(937,947) = 7576 Sum = 5412.875285008482239 Averaged sum = 0.5413416626671149353 logp*logq = 46.89495513312411628 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(937,947) = 0.6072431896811878093 D2(937,947) = 0.2135804387636349020 C1(937,947) = 0.7877645975669479754 C2(937,947) = 1.280756117654607298 C3(937,947) = 4.549480621553106248 C4(937,947) = 7576 Sum = 5412.875285008482239 Averaged sum = 0.5413416626671149353 logp*logq = 46.89495513312411628 -------------- ************************************* p = 937; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.426549680873619079 E20 -------------- Searches starting with [937,953]-exponents: u = 1, v = 404 n_start has 1207 digits --- performed 5000 steps in the continued fraction search [937,953]-exponents: u = 218, v = 175 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(937,953) = 0.7657460770008319639 D2(937,953) = 0.08690402855866860147 C1(937,953) = 1.011031787400410878 C2(937,953) = 1.223346705882142524 C3(937,953) = 6.989409394415960437 C4(937,953) = 7624 Sum = 5145.847464222387955 Averaged sum = 0.5146362100432431197 logp*logq = 46.93817222382813390 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(937,953) = 0.7657460770008319639 D2(937,953) = 0.08690402855866860147 C1(937,953) = 1.011031787400410878 C2(937,953) = 1.223346705882142524 C3(937,953) = 6.989409394415960437 C4(937,953) = 7624 Sum = 5145.847464222387955 Averaged sum = 0.5146362100432431197 logp*logq = 46.93817222382813390 -------------- ************************************* p = 937; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.681191442277985451 E20 -------------- Searches starting with [937,967]-exponents: u = 1, v = 217 n_start has 651 digits starting right neighbors generation We generated 4783 left neighbors We generated 5227 right neighbors We generated 10009 non-negative rho_i D1(937,967) = 0.7594017746686722097 D2(937,967) = 0.007725062917036762762 C1(937,967) = 1.030637415879557694 C2(937,967) = 1.250269758036311819 C3(937,967) = 7.257977518398286028 C4(937,967) = 7736 Sum = 4710.104158674572360 Averaged sum = 0.4705868876685555360 logp*logq = 47.03796312362677154 -------------- ************************************* p = 937; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.758005226699230583 E20 -------------- Searches starting with [937,971]-exponents: u = 1, v = 191 n_start has 574 digits starting right neighbors generation We generated 3669 left neighbors We generated 6341 right neighbors We generated 10009 non-negative rho_i D1(937,971) = 0.9908333731670571720 D2(937,971) = 0.004766534164536003928 C1(937,971) = 1.352920215850554340 C2(937,971) = 1.269690180912805054 C3(937,971) = 13.48946525864099496 C4(937,971) = 7768 Sum = 4855.691269263922811 Averaged sum = 0.4851325076694897403 logp*logq = 47.06620953435509773 -------------- ************************************* p = 937; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.876746191543303481 E20 -------------- Searches starting with [937,977]-exponents: u = 1, v = 163 n_start has 491 digits **************************************************** Computing .... elapsed time = 54 minutes **************************************************** starting right neighbors generation We generated 2668 left neighbors We generated 7342 right neighbors We generated 10009 non-negative rho_i D1(937,977) = 0.6161424396137461491 D2(937,977) = 0.01099773000400002054 C1(937,977) = 0.8482155768386528571 C2(937,977) = 1.305150678496649284 C3(937,977) = 5.110366830737568580 C4(937,977) = 7816 Sum = 4622.493694383316077 Averaged sum = 0.4618337190911495730 logp*logq = 47.10836172072671498 -------------- ************************************* p = 937; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.999825052066118285 E20 -------------- Searches starting with [937,983]-exponents: u = 1, v = 142 n_start has 428 digits starting right neighbors generation We generated 2054 left neighbors We generated 7956 right neighbors We generated 10009 non-negative rho_i D1(937,983) = 0.6573447879345892059 D2(937,983) = 0.009854696080962425848 C1(937,983) = 0.9117189944692809754 C2(937,983) = 1.330928008997736797 C3(937,983) = 5.774199822058830980 C4(937,983) = 7864 Sum = 4599.539812419294598 Averaged sum = 0.4595403948865315813 logp*logq = 47.15025583087062005 -------------- ************************************* p = 937; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.170904102666213753 E20 -------------- Searches starting with [937,991]-exponents: u = 1, v = 122 n_start has 369 digits starting right neighbors generation We generated 1644 left neighbors We generated 8366 right neighbors We generated 10009 non-negative rho_i D1(937,991) = 0.7389478925851397012 D2(937,991) = 0.004221957005360808808 C1(937,991) = 1.034267455390871165 C2(937,991) = 1.358022606202927424 C3(937,991) = 7.308824330235564484 C4(937,991) = 7928 Sum = 4141.757084519154621 Averaged sum = 0.4138032854949699891 logp*logq = 47.20571861299503050 -------------- ************************************* p = 937; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.304617727657121841 E20 -------------- Searches starting with [937,997]-exponents: u = 1, v = 110 n_start has 333 digits starting right neighbors generation We generated 1277 left neighbors We generated 8733 right neighbors We generated 10009 non-negative rho_i D1(937,997) = 0.6294436752272562911 D2(937,997) = 0.01803449350103526285 C1(937,997) = 0.8864838823508462896 C2(937,997) = 1.392314783039740052 C3(937,997) = 5.500659676673615714 C4(937,997) = 7976 Sum = 4010.774996595107008 Averaged sum = 0.4007168544904692784 logp*logq = 47.24702266164074471 -------------- ************************************* p = 941; q = 947; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.392759613232994755 E20 -------------- Searches starting with [941,947]-exponents: u = 1, v = 1077 n_start has 3209 digits --- performed 5000 steps in the continued fraction search [941,947]-exponents: u = 698, v = 376 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(941,947) = 0.7240461581454476123 D2(941,947) = 0.3283405788799711309 C1(941,947) = 0.9235233286875783040 C2(941,947) = 1.332108505648881696 C3(941,947) = 5.910180071119805535 C4(941,947) = 7576 Sum = 5676.210117197552645 Averaged sum = 0.5676777794977050350 logp*logq = 46.92414920961712180 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(941,947) = 0.7240461581454476123 D2(941,947) = 0.3283405788799711309 C1(941,947) = 0.9235233286875783040 C2(941,947) = 1.332108505648881696 C3(941,947) = 5.910180071119805535 C4(941,947) = 7576 Sum = 5676.210117197552645 Averaged sum = 0.5676777794977050350 logp*logq = 46.92414920961712180 -------------- ************************************* p = 941; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.498501981535470468 E20 -------------- Searches starting with [941,953]-exponents: u = 1, v = 540 n_start has 1612 digits --- performed 5000 steps in the continued fraction search [941,953]-exponents: u = 176, v = 356 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(941,953) = 0.6660195052805471727 D2(941,953) = 0.1715388750414385526 C1(941,953) = 0.8696115475037736127 C2(941,953) = 1.263634445074852413 C3(941,953) = 5.327918792292021407 C4(941,953) = 7624 Sum = 5313.773705794810337 Averaged sum = 0.5314305136308441181 logp*logq = 46.96739320477276405 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(941,953) = 0.6660195052805471727 D2(941,953) = 0.1715388750414385526 C1(941,953) = 0.8696115475037736127 C2(941,953) = 1.263634445074852413 C3(941,953) = 5.327918792292021407 C4(941,953) = 7624 Sum = 5313.773705794810337 Averaged sum = 0.5314305136308441181 logp*logq = 46.96739320477276405 -------------- ************************************* p = 941; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.760865917397868338 E20 -------------- Searches starting with [941,967]-exponents: u = 1, v = 251 n_start has 753 digits --- performed 5000 steps in the continued fraction search [941,967]-exponents: u = 170, v = 62 --- starting right neighbors generation We generated 6479 left neighbors We generated 3531 right neighbors We generated 10009 non-negative rho_i D1(941,967) = 0.6894449057354577705 D2(941,967) = 0.001614537670528959535 C1(941,967) = 0.9293171392914339078 C2(941,967) = 1.220077010250689481 C3(941,967) = 5.976424300008503753 C4(941,967) = 7736 Sum = 4828.520367841572108 Averaged sum = 0.4824178607095186439 logp*logq = 47.06724622859207208 -------------- ************************************* p = 941; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.840012245657090031 E20 -------------- Searches starting with [941,971]-exponents: u = 1, v = 218 n_start has 655 digits starting right neighbors generation We generated 4806 left neighbors We generated 5204 right neighbors We generated 10009 non-negative rho_i D1(941,971) = 0.7141990548765527713 D2(941,971) = 0.008082677748195837636 C1(941,971) = 0.9691555231814848197 C2(941,971) = 1.250219507877987783 C3(941,971) = 6.452473981984915214 C4(941,971) = 7768 Sum = 4711.756955903805588 Averaged sum = 0.4707520187734844228 logp*logq = 47.09551022389582039 -------------- ************************************* p = 941; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.962361611316670821 E20 -------------- Searches starting with [941,977]-exponents: u = 1, v = 182 n_start has 548 digits starting right neighbors generation We generated 3489 left neighbors We generated 6521 right neighbors We generated 10009 non-negative rho_i D1(941,977) = 0.5971973261170442523 D2(941,977) = 0.0009519463824986247913 C1(941,977) = 0.8177357864564480613 C2(941,977) = 1.276204967869771190 C3(941,977) = 4.821870788927119690 C4(941,977) = 7816 Sum = 4550.003628163497439 Averaged sum = 0.4545912307087119032 logp*logq = 47.13768865177144990 -------------- ************************************* p = 941; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.089184013932447953 E20 -------------- Searches starting with [941,983]-exponents: u = 1, v = 156 n_start has 470 digits starting right neighbors generation We generated 2549 left neighbors We generated 7461 right neighbors We generated 10009 non-negative rho_i D1(941,983) = 0.6798705157051298236 D2(941,983) = 0.0009048348219929051615 C1(941,983) = 0.9382234849519347616 C2(941,983) = 1.304896082435765743 C3(941,983) = 6.079706940304760919 C4(941,983) = 7864 Sum = 4637.128535403003082 Averaged sum = 0.4632958872417827038 logp*logq = 47.17960884275609095 -------------- ************************************* p = 941; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.265471925138469221 E20 -------------- Searches starting with [941,991]-exponents: u = 1, v = 132 n_start has 399 digits starting right neighbors generation We generated 1904 left neighbors We generated 8106 right neighbors We generated 10009 non-negative rho_i D1(941,991) = 0.6350216441010465682 D2(941,991) = 0.002093653783039259302 C1(941,991) = 0.8848319671622187967 C2(941,991) = 1.340028454853601808 C3(941,991) = 5.486232486243425397 C4(941,991) = 7928 Sum = 4223.629681724702254 Averaged sum = 0.4219831833074934813 logp*logq = 47.23510615278865823 -------------- ************************************* p = 941; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.403260882405187544 E20 -------------- Searches starting with [941,997]-exponents: u = 1, v = 118 n_start has 357 digits starting right neighbors generation We generated 1481 left neighbors We generated 8529 right neighbors We generated 10009 non-negative rho_i D1(941,997) = 0.5446371745182393000 D2(941,997) = 0.009730992141698836915 C1(941,997) = 0.7638784534214772479 C2(941,997) = 1.369933854782604949 C3(941,997) = 4.347283304541992283 C4(941,997) = 7976 Sum = 4090.216232527770356 Averaged sum = 0.4086538348014557254 logp*logq = 47.27643591493707673 -------------- ************************************* p = 947; q = 953; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.609844755562427960 E20 -------------- Searches starting with [947,953]-exponents: u = 1, v = 1085 n_start has 3236 digits --- performed 5000 steps in the continued fraction search [947,953]-exponents: u = 666, v = 416 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(947,953) = 0.8240448052922559996 D2(947,953) = 0.3308285015586104797 C1(947,953) = 1.050941186848461971 C2(947,953) = 1.334361497431664031 C3(947,953) = 7.559296983554908468 C4(947,953) = 7624 Sum = 5678.146215466181155 Averaged sum = 0.5678714086874868641 logp*logq = 47.01099259881905082 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(947,953) = 0.8240448052922559996 D2(947,953) = 0.3308285015586104797 C1(947,953) = 1.050941186848461971 C2(947,953) = 1.334361497431664031 C3(947,953) = 7.559296983554908468 C4(947,953) = 7624 Sum = 5678.146215466181155 Averaged sum = 0.5678714086874868641 logp*logq = 47.01099259881905082 -------------- ************************************* p = 947; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.884167957420945553 E20 -------------- Searches starting with [947,967]-exponents: u = 1, v = 327 n_start has 980 digits --- performed 5000 steps in the continued fraction search [947,967]-exponents: u = 200, v = 113 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(947,967) = 0.5109680570920412892 D2(947,967) = 0.01262959630523654000 C1(947,967) = 0.6807375664126099215 C2(947,967) = 1.187415607825789864 C3(947,967) = 3.707048925587925372 C4(947,967) = 7736 Sum = 5017.240762611778784 Averaged sum = 0.5017742536865465330 logp*logq = 47.11093831527116541 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(947,967) = 0.5109680570920412892 D2(947,967) = 0.01262959630523654000 C1(947,967) = 0.6807375664126099215 C2(947,967) = 1.187415607825789864 C3(947,967) = 3.707048925587925372 C4(947,967) = 7736 Sum = 5017.240762611778784 Averaged sum = 0.5017742536865465330 logp*logq = 47.11093831527116541 -------------- ************************************* p = 947; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 2.966926854231624715 E20 -------------- Searches starting with [947,971]-exponents: u = 1, v = 273 n_start has 819 digits --- performed 5000 steps in the continued fraction search [947,971]-exponents: u = 239, v = 17 --- starting right neighbors generation We generated 7321 left neighbors We generated 2689 right neighbors We generated 10009 non-negative rho_i D1(947,971) = 0.7253420408437107564 D2(947,971) = 0.005874990500070292203 C1(947,971) = 0.9738990275872050981 C2(947,971) = 1.210238069983021229 C3(947,971) = 6.517512775957773545 C4(947,971) = 7768 Sum = 4905.018824258612732 Averaged sum = 0.4900608276809484196 logp*logq = 47.13922854777873719 -------------- ************************************* p = 947; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.094864947914095932 E20 -------------- Searches starting with [947,977]-exponents: u = 1, v = 219 n_start has 658 digits starting right neighbors generation We generated 4829 left neighbors We generated 5181 right neighbors We generated 10009 non-negative rho_i D1(947,977) = 0.6594193834916019705 D2(947,977) = 0.004183898502993402200 C1(947,977) = 0.8945372268927675619 C2(947,977) = 1.246148775004551983 C3(947,977) = 5.594269532601026475 C4(947,977) = 7816 Sum = 4775.117341685644256 Averaged sum = 0.4770823600445243537 logp*logq = 47.18144612949646274 -------------- ************************************* p = 947; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.227485576285422791 E20 -------------- Searches starting with [947,983]-exponents: u = 1, v = 183 n_start has 551 digits starting right neighbors generation We generated 3343 left neighbors We generated 6667 right neighbors We generated 10009 non-negative rho_i D1(947,983) = 0.6211786840311846045 D2(947,983) = 0.009623940739637477551 C1(947,983) = 0.8502054755645175986 C2(947,983) = 1.283390351809710101 C3(947,983) = 5.136727057583667695 C4(947,983) = 7864 Sum = 4675.312799821535193 Averaged sum = 0.4671108801899825350 logp*logq = 47.22340523460429700 -------------- ************************************* p = 947; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.411841593944488401 E20 -------------- Searches starting with [947,991]-exponents: u = 1, v = 150 n_start has 453 digits starting right neighbors generation We generated 2311 left neighbors We generated 7699 right neighbors We generated 10009 non-negative rho_i D1(947,991) = 0.7795184223698744808 D2(947,991) = 0.004817054650176364971 C1(947,991) = 1.078164580114375276 C2(947,991) = 1.316647741346828269 C3(947,991) = 7.965947388537048497 C4(947,991) = 7928 Sum = 4710.929177753680538 Averaged sum = 0.4706693153915156897 logp*logq = 47.27895406227332474 -------------- ************************************* p = 947; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.555943150407801967 E20 -------------- Searches starting with [947,997]-exponents: u = 1, v = 133 n_start has 402 digits starting right neighbors generation We generated 1919 left neighbors We generated 8091 right neighbors We generated 10009 non-negative rho_i D1(947,997) = 0.6709647340511242844 D2(947,997) = 0.004211318023808497867 C1(947,997) = 0.9346379136473615315 C2(947,997) = 1.341204099435974949 C3(947,997) = 6.043152284002939038 C4(947,997) = 7976 Sum = 4231.442756761218154 Averaged sum = 0.4227637882666818018 logp*logq = 47.32032219045534217 -------------- ************************************* p = 953; q = 967; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.012145423684210470 E20 -------------- Searches starting with [953,967]-exponents: u = 1, v = 470 n_start has 1407 digits --- performed 5000 steps in the continued fraction search [953,967]-exponents: u = 345, v = 116 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(953,967) = 0.6475271192210450785 D2(953,967) = 0.1321205603809789767 C1(953,967) = 0.8501169687760878635 C2(953,967) = 1.246169934320451146 C3(953,967) = 5.139875457907352151 C4(953,967) = 7736 Sum = 5230.788209018870431 Averaged sum = 0.5231311340152885719 logp*logq = 47.15435445008871067 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(953,967) = 0.6475271192210450785 D2(953,967) = 0.1321205603809789767 C1(953,967) = 0.8501169687760878635 C2(953,967) = 1.246169934320451146 C3(953,967) = 5.139875457907352151 C4(953,967) = 7736 Sum = 5230.788209018870431 Averaged sum = 0.5231311340152885719 logp*logq = 47.15435445008871067 -------------- ************************************* p = 953; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.098657317284502703 E20 -------------- Searches starting with [953,971]-exponents: u = 1, v = 366 n_start has 1097 digits --- performed 5000 steps in the continued fraction search [953,971]-exponents: u = 320, v = 34 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(953,971) = 0.5730847363504436564 D2(953,971) = 0.05050060561945760565 C1(953,971) = 0.7599593476156199470 C2(953,971) = 1.205689444311744642 C3(953,971) = 4.320696899054716121 C4(953,971) = 7768 Sum = 5082.725499460650198 Averaged sum = 0.5083233822842934491 logp*logq = 47.18267075409034501 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(953,971) = 0.5730847363504436564 D2(953,971) = 0.05050060561945760565 C1(953,971) = 0.7599593476156199470 C2(953,971) = 1.205689444311744642 C3(953,971) = 4.320696899054716121 C4(953,971) = 7768 Sum = 5082.725499460650198 Averaged sum = 0.5083233822842934491 logp*logq = 47.18267075409034501 -------------- ************************************* p = 953; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.232401574512199508 E20 -------------- Searches starting with [953,977]-exponents: u = 1, v = 275 n_start has 826 digits --- performed 5000 steps in the continued fraction search [953,977]-exponents: u = 203, v = 55 --- starting right neighbors generation We generated 7626 left neighbors We generated 2384 right neighbors We generated 10009 non-negative rho_i D1(953,977) = 0.7017917439225151268 D2(953,977) = 0.0004641781434317673628 C1(953,977) = 0.9420837033805771780 C2(953,977) = 1.204856269516462511 C3(953,977) = 6.135703316323111618 C4(953,977) = 7816 Sum = 4906.670426173188293 Averaged sum = 0.4902258393618931255 logp*logq = 47.22492724236109359 -------------- ************************************* p = 953; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.371046249372818591 E20 -------------- Searches starting with [953,983]-exponents: u = 1, v = 221 n_start has 665 digits --- performed 5000 steps in the continued fraction search [953,983]-exponents: u = 170, v = 29 --- starting right neighbors generation We generated 5075 left neighbors We generated 4935 right neighbors We generated 10009 non-negative rho_i D1(953,983) = 0.6291987690950391797 D2(953,983) = 0.0003827289350820657465 C1(953,983) = 0.8534614450345312494 C2(953,983) = 1.242176177905985760 C3(953,983) = 5.173084596003213455 C4(953,983) = 7864 Sum = 4719.917424443131463 Averaged sum = 0.4715673318456520594 logp*logq = 47.26692501581707228 -------------- ************************************* p = 953; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.563784977024330610 E20 -------------- Searches starting with [953,991]-exponents: u = 1, v = 175 n_start has 528 digits starting right neighbors generation We generated 3191 left neighbors We generated 6819 right neighbors We generated 10009 non-negative rho_i D1(953,991) = 0.5715001621328498777 D2(953,991) = 0.003242297100917313328 C1(953,991) = 0.7843454319533682785 C2(953,991) = 1.286949156023063494 C3(953,991) = 4.528432275587011103 C4(953,991) = 7928 Sum = 4507.846219974270140 Averaged sum = 0.4503792806448466520 logp*logq = 47.32252503574584436 -------------- ************************************* p = 953; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.714445576129427470 E20 -------------- Searches starting with [953,997]-exponents: u = 1, v = 151 n_start has 456 digits starting right neighbors generation We generated 2327 left neighbors We generated 7683 right neighbors We generated 10009 non-negative rho_i D1(953,997) = 0.9877851746769295678 D2(953,997) = 0.005048172791905358126 C1(953,997) = 1.365909274225415416 C2(953,997) = 1.316189793425630409 C3(953,997) = 13.87744658592338431 C4(953,997) = 7976 Sum = 4895.456191366618511 Averaged sum = 0.4891054242548325019 logp*logq = 47.36393128764805349 -------------- ************************************* p = 967; q = 971; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.425610142636326561 E20 -------------- Searches starting with [967,971]-exponents: u = 1, v = 1665 n_start has 4977 digits --- performed 5000 steps in the continued fraction search [967,971]-exponents: u = 8, v = 1655 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(967,971) = 0.7265761575430145283 D2(967,971) = 0.4085022753937511515 C1(967,971) = 0.9153927210028035940 C2(967,971) = 1.367275433799571847 C3(967,971) = 5.839652270914715893 C4(967,971) = 7768 Sum = 5871.688313701836341 Averaged sum = 0.5872275541255961937 logp*logq = 47.28298145956479729 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(967,971) = 0.7265761575430145283 D2(967,971) = 0.4085022753937511515 C1(967,971) = 0.9153927210028035940 C2(967,971) = 1.367275433799571847 C3(967,971) = 5.839652270914715893 C4(967,971) = 7768 Sum = 5871.688313701836341 Averaged sum = 0.5872275541255961937 logp*logq = 47.28298145956479729 -------------- ************************************* p = 967; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.573787384856521181 E20 -------------- Searches starting with [967,977]-exponents: u = 1, v = 668 n_start has 2001 digits --- performed 5000 steps in the continued fraction search [967,977]-exponents: u = 345, v = 317 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(967,977) = 0.7553713935623595118 D2(967,977) = 0.2201691491719374077 C1(967,977) = 0.9792008657654652793 C2(967,977) = 1.285733283168085995 C3(967,977) = 6.604022956145361198 C4(967,977) = 7816 Sum = 5423.619678001285632 Averaged sum = 0.5424162094210706702 logp*logq = 47.32532778544078453 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(967,977) = 0.7553713935623595118 D2(967,977) = 0.2201691491719374077 C1(967,977) = 0.9792008657654652793 C2(967,977) = 1.285733283168085995 C3(967,977) = 6.604022956145361198 C4(967,977) = 7816 Sum = 5423.619678001285632 Averaged sum = 0.5424162094210706702 logp*logq = 47.32532778544078453 -------------- ************************************* p = 967; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.727407629723729188 E20 -------------- Searches starting with [967,983]-exponents: u = 1, v = 418 n_start has 1254 digits --- performed 5000 steps in the continued fraction search [967,983]-exponents: u = 50, v = 357 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(967,983) = 0.5300728686663648253 D2(967,983) = 0.09281696567491362030 C1(967,983) = 0.6993149942585526786 C2(967,983) = 1.226967849319812015 C3(967,983) = 3.850188087542011237 C4(967,983) = 7864 Sum = 5159.070854540727726 Averaged sum = 0.5159586813222049931 logp*logq = 47.36741484647240051 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(967,983) = 0.5300728686663648253 D2(967,983) = 0.09281696567491362030 C1(967,983) = 0.6993149942585526786 C2(967,983) = 1.226967849319812015 C3(967,983) = 3.850188087542011237 C4(967,983) = 7864 Sum = 5159.070854540727726 Averaged sum = 0.5159586813222049931 logp*logq = 47.36741484647240051 -------------- ************************************* p = 967; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.940987051310868193 E20 -------------- Searches starting with [967,991]-exponents: u = 1, v = 280 n_start has 842 digits --- performed 5000 steps in the continued fraction search [967,991]-exponents: u = 113, v = 150 --- starting right neighbors generation We generated 7771 left neighbors We generated 2239 right neighbors We generated 10009 non-negative rho_i D1(967,991) = 0.6119364430742277813 D2(967,991) = 0.005825500574310394008 C1(967,991) = 0.8211600429383185709 C2(967,991) = 1.208569952222528566 C3(967,991) = 4.869600234460624301 C4(967,991) = 7928 Sum = 4903.422456654085478 Averaged sum = 0.4899013344643905962 logp*logq = 47.42313307245297743 -------------- ************************************* p = 967; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.107955643716824797 E20 -------------- Searches starting with [967,997]-exponents: u = 1, v = 224 n_start has 675 digits starting right neighbors generation We generated 4944 left neighbors We generated 5066 right neighbors We generated 10009 non-negative rho_i D1(967,997) = 1.315688078400242078 D2(967,997) = 0.005875980494099159867 C1(967,997) = 1.783603267046738761 C2(967,997) = 1.245858987606171440 C3(967,997) = 31.13665943432800579 C4(967,997) = 7976 Sum = 4936.606802177727392 Averaged sum = 0.4932167851111726837 logp*logq = 47.46462735435164460 -------------- ************************************* p = 971; q = 977; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.676807687428341382 E20 -------------- Searches starting with [971,977]-exponents: u = 1, v = 1116 n_start has 3340 digits --- performed 5000 steps in the continued fraction search [971,977]-exponents: u = 542, v = 571 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(971,977) = 0.6299274071278327867 D2(971,977) = 0.3401325427870585486 C1(971,977) = 0.8030062099483671571 C2(971,977) = 1.342754731457689237 C3(971,977) = 4.704396054989703527 C4(971,977) = 7816 Sum = 5685.736085011576476 Averaged sum = 0.5686304715483124788 logp*logq = 47.35374675934420126 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(971,977) = 0.6299274071278327867 D2(971,977) = 0.3401325427870585486 C1(971,977) = 0.8030062099483671571 C2(971,977) = 1.342754731457689237 C3(971,977) = 4.704396054989703527 C4(971,977) = 7816 Sum = 5685.736085011576476 Averaged sum = 0.5686304715483124788 logp*logq = 47.35374675934420126 -------------- ************************************* p = 971; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 3.834953209671802325 E20 -------------- Searches starting with [971,983]-exponents: u = 1, v = 560 n_start has 1679 digits --- performed 5000 steps in the continued fraction search [971,983]-exponents: u = 548, v = 5 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(971,983) = 1.222013877086212103 D2(971,983) = 0.1774484054948332517 C1(971,983) = 1.594305406119761198 C2(971,983) = 1.267731325835814603 C3(971,983) = 21.63731320922996912 C4(971,983) = 7864 Sum = 5325.420798085559537 Averaged sum = 0.5325953393424902027 logp*logq = 47.39585909375785384 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(971,983) = 1.222013877086212103 D2(971,983) = 0.1774484054948332517 C1(971,983) = 1.594305406119761198 C2(971,983) = 1.267731325835814603 C3(971,983) = 21.63731320922996912 C4(971,983) = 7864 Sum = 5325.420798085559537 Averaged sum = 0.5325953393424902027 logp*logq = 47.39585909375785384 -------------- ************************************* p = 971; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.054830631133189233 E20 -------------- Searches starting with [971,991]-exponents: u = 1, v = 337 n_start has 1013 digits --- performed 5000 steps in the continued fraction search [971,991]-exponents: u = 50, v = 273 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(971,991) = 0.6299064121280419134 D2(971,991) = 0.02591253911668064077 C1(971,991) = 0.8385080123389017140 C2(971,991) = 1.197776063267806734 C3(971,991) = 5.037743199710879613 C4(971,991) = 7928 Sum = 5026.719329559823759 Averaged sum = 0.5027222051765000259 logp*logq = 47.45161077866801844 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(971,991) = 0.6299064121280419134 D2(971,991) = 0.02591253911668064077 C1(971,991) = 0.8385080123389017140 C2(971,991) = 1.197776063267806734 C3(971,991) = 5.037743199710879613 C4(971,991) = 7928 Sum = 5026.719329559823759 Averaged sum = 0.5027222051765000259 logp*logq = 47.45161077866801844 -------------- ************************************* p = 971; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.226727775247162562 E20 -------------- Searches starting with [971,997]-exponents: u = 1, v = 260 n_start has 783 digits --- performed 5000 steps in the continued fraction search [971,997]-exponents: u = 231, v = 11 --- starting right neighbors generation We generated 6722 left neighbors We generated 3288 right neighbors We generated 10009 non-negative rho_i D1(971,997) = 0.6437172380474912436 D2(971,997) = 0.006720989262527140986 C1(971,997) = 0.8667965648330779597 C2(971,997) = 1.222148643980187300 C3(971,997) = 5.320190718384637893 C4(971,997) = 7976 Sum = 4845.121393179571047 Averaged sum = 0.4840764704945120438 logp*logq = 47.49312997798341784 -------------- ************************************* p = 977; q = 983; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.001241356967556486 E20 -------------- Searches starting with [977,983]-exponents: u = 1, v = 1124 n_start has 3367 digits --- performed 5000 steps in the continued fraction search [977,983]-exponents: u = 510, v = 611 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(977,983) = 0.6549752581513773340 D2(977,983) = 0.3422839362436015199 C1(977,983) = 0.8348368571065283137 C2(977,983) = 1.344685369786289184 C3(977,983) = 5.005944861072539861 C4(977,983) = 7864 Sum = 5687.534628886950310 Averaged sum = 0.5688103439230873397 logp*logq = 47.43830651209743155 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(977,983) = 0.6549752581513773340 D2(977,983) = 0.3422839362436015199 C1(977,983) = 0.8348368571065283137 C2(977,983) = 1.344685369786289184 C3(977,983) = 5.005944861072539861 C4(977,983) = 7864 Sum = 5687.534628886950310 Averaged sum = 0.5688103439230873397 logp*logq = 47.43830651209743155 -------------- ************************************* p = 977; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.230864171127335175 E20 -------------- Searches starting with [977,991]-exponents: u = 1, v = 483 n_start has 1451 digits --- performed 5000 steps in the continued fraction search [977,991]-exponents: u = 215, v = 259 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(977,991) = 0.5402639198367694339 D2(977,991) = 0.1316062957766479050 C1(977,991) = 0.7088665715662295560 C2(977,991) = 1.244270433227339409 C3(977,991) = 3.925899173989826819 C4(977,991) = 7928 Sum = 5240.507360380098226 Averaged sum = 0.5241031463526450871 logp*logq = 47.49410812784834400 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(977,991) = 0.5402639198367694339 D2(977,991) = 0.1316062957766479050 C1(977,991) = 0.7088665715662295560 C2(977,991) = 1.244270433227339409 C3(977,991) = 3.925899173989826819 C4(977,991) = 7928 Sum = 5240.507360380098226 Averaged sum = 0.5241031463526450871 logp*logq = 47.49410812784834400 -------------- ************************************* p = 977; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.410387930119611191 E20 -------------- Searches starting with [977,997]-exponents: u = 1, v = 339 n_start has 1020 digits --- performed 5000 steps in the continued fraction search [977,997]-exponents: u = 20, v = 305 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(977,997) = 0.5407837787156501706 D2(977,997) = 0.02478810656783690417 C1(977,997) = 0.7197731603617254128 C2(977,997) = 1.196316039411085794 C3(977,997) = 4.009382240385407591 C4(977,997) = 7976 Sum = 5029.652565293212062 Averaged sum = 0.5030155580851297192 logp*logq = 47.53566451148440270 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(977,997) = 0.5407837787156501706 D2(977,997) = 0.02478810656783690417 C1(977,997) = 0.7197731603617254128 C2(977,997) = 1.196316039411085794 C3(977,997) = 4.009382240385407591 C4(977,997) = 7976 Sum = 5029.652565293212062 Averaged sum = 0.5030155580851297192 logp*logq = 47.53566451148440270 -------------- ************************************* p = 983; q = 991; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.413391438887354872 E20 -------------- Searches starting with [983,991]-exponents: u = 1, v = 850 n_start has 2550 digits --- performed 5000 steps in the continued fraction search [983,991]-exponents: u = 760, v = 86 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(983,991) = 0.7952694031366894740 D2(983,991) = 0.2837915010735945993 C1(983,991) = 1.022797279202430463 C2(983,991) = 1.319963295991114065 C3(983,991) = 7.200582116499716864 C4(983,991) = 7928 Sum = 5546.587898725638676 Averaged sum = 0.5547142612986937369 logp*logq = 47.53634528754602837 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(983,991) = 0.7952694031366894740 D2(983,991) = 0.2837915010735945993 C1(983,991) = 1.022797279202430463 C2(983,991) = 1.319963295991114065 C3(983,991) = 7.200582116499716864 C4(983,991) = 7928 Sum = 5546.587898725638676 Averaged sum = 0.5547142612986937369 logp*logq = 47.53634528754602837 -------------- ************************************* p = 983; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.600830211454333180 E20 -------------- Searches starting with [983,997]-exponents: u = 1, v = 487 n_start has 1464 digits --- performed 5000 steps in the continued fraction search [983,997]-exponents: u = 175, v = 303 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(983,997) = 0.6918199082169471556 D2(983,997) = 0.1437431331854430586 C1(983,997) = 0.9075315326726624644 C2(983,997) = 1.255554830792692770 C3(983,997) = 5.764281981081530928 C4(983,997) = 7976 Sum = 5242.715738010662603 Averaged sum = 0.5243240062016864290 logp*logq = 47.57793862784221362 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(983,997) = 0.6918199082169471556 D2(983,997) = 0.1437431331854430586 C1(983,997) = 0.9075315326726624644 C2(983,997) = 1.255554830792692770 C3(983,997) = 5.764281981081530928 C4(983,997) = 7976 Sum = 5242.715738010662603 Averaged sum = 0.5243240062016864290 logp*logq = 47.57793862784221362 -------------- ************************************* p = 991; q = 997; n = p^u*q^v; u,v >= 0 n_i >= N = max ( N1, exp((log p) * (log q)); N1 = 3; N = 4.865661281839579842 E20 -------------- Searches starting with [991,997]-exponents: u = 1, v = 1142 n_start has 3428 digits --- performed 5000 steps in the continued fraction search [991,997]-exponents: u = 438, v = 701 --- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(991,997) = 0.5829977104130756831 D2(991,997) = 0.3369511998643731141 C1(991,997) = 0.7429037207802544943 C2(991,997) = 1.338913448021176349 C3(991,997) = 4.198788486387705618 C4(991,997) = 7976 Sum = 5691.787935505477197 Averaged sum = 0.5692357171222599457 logp*logq = 47.63390449266190954 -------------- We generated 10000 left neighbors We generated 10 right neighbors We generated 9999 non-negative rho_i D1(991,997) = 0.5829977104130756831 D2(991,997) = 0.3369511998643731141 C1(991,997) = 0.7429037207802544943 C2(991,997) = 1.338913448021176349 C3(991,997) = 4.198788486387705618 C4(991,997) = 7976 Sum = 5691.787935505477197 Averaged sum = 0.5692357171222599457 logp*logq = 47.63390449266190954 -------------- ************************************* ----------------------------- GLOBAL RESULTS ----------------------------- D1_GLOBAL = 11.68142121416785867 attained at p = 2, q = 3 with exponents: u = 0, v = 1 ----- D2_GLOBAL = 0.0000000000000000000 attained at p = 2, q = 17 with exponents: u = 3, v = 0 ----- C1_GLOBAL = 4.733046763176227807 attained at p = 13, q = 89 with exponents: u = 0, v = 4 ----- C2_GLOBAL = 0.8046690850540732680 attained at p = 23, q = 43 with exponents: u = 534, v = 4 ----------------------------- ----------------------------- Constants_pq computation time (output time included): 54 min, 32 sec, 229 millisec ****** END PROGRAM ******** Goodbye!